Finite Group Databasebeta

← Group #6846

Character table — Group #6846

Order 240.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size12222222151222222215122222221512222222151222222215122222221512222222151222222215
order1355151515152261010303030302261010303030302261010303030302261010303030302261010303030302261010303030302261010303030302
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111-111111111-111111111-111111111-111111111-111111111-111111111-111111111-1
χ322−1+52−1−52−1+52−1+52−1−52−1−52022−1+52−1−52−1+52−1+52−1−52−1−52022−1+52−1−52−1+52−1+52−1−52−1−52022−1+52−1−52−1+52−1+52−1−52−1−52022−1+52−1−52−1+52−1+52−1−52−1−52022−1+52−1−52−1+52−1+52−1−52−1−52022−1+52−1−52−1+52−1+52−1−52−1−52022−1+52−1−52−1+52−1+52−1−52−1−520
χ422−1−52−1+52−1−52−1−52−1+52−1+52022−1−52−1+52−1−52−1−52−1+52−1+52022−1−52−1+52−1−52−1−52−1+52−1+52022−1−52−1+52−1−52−1−52−1+52−1+52022−1−52−1+52−1−52−1−52−1+52−1+52022−1−52−1+52−1−52−1−52−1+52−1+52022−1−52−1+52−1−52−1−52−1+52−1+52022−1−52−1+52−1−52−1−52−1+52−1+520
χ52-122-1-1-1-102-122-1-1-1-102-122-1-1-1-102-122-1-1-1-102-122-1-1-1-102-122-1-1-1-102-122-1-1-1-102-122-1-1-1-10
χ62-1−1+52−1−52ζ2+ζ13ζ7+ζ8ζ4+ζ11ζ+ζ1402-1−1+52−1−52ζ2+ζ13ζ7+ζ8ζ4+ζ11ζ+ζ1402-1−1+52−1−52ζ2+ζ13ζ7+ζ8ζ4+ζ11ζ+ζ1402-1−1+52−1−52ζ2+ζ13ζ7+ζ8ζ4+ζ11ζ+ζ1402-1−1+52−1−52ζ2+ζ13ζ7+ζ8ζ4+ζ11ζ+ζ1402-1−1+52−1−52ζ2+ζ13ζ7+ζ8ζ4+ζ11ζ+ζ1402-1−1+52−1−52ζ2+ζ13ζ7+ζ8ζ4+ζ11ζ+ζ1402-1−1+52−1−52ζ2+ζ13ζ7+ζ8ζ4+ζ11ζ+ζ140
χ72-1−1+52−1−52ζ7+ζ8ζ2+ζ13ζ+ζ14ζ4+ζ1102-1−1+52−1−52ζ7+ζ8ζ2+ζ13ζ+ζ14ζ4+ζ1102-1−1+52−1−52ζ7+ζ8ζ2+ζ13ζ+ζ14ζ4+ζ1102-1−1+52−1−52ζ7+ζ8ζ2+ζ13ζ+ζ14ζ4+ζ1102-1−1+52−1−52ζ7+ζ8ζ2+ζ13ζ+ζ14ζ4+ζ1102-1−1+52−1−52ζ7+ζ8ζ2+ζ13ζ+ζ14ζ4+ζ1102-1−1+52−1−52ζ7+ζ8ζ2+ζ13ζ+ζ14ζ4+ζ1102-1−1+52−1−52ζ7+ζ8ζ2+ζ13ζ+ζ14ζ4+ζ110
χ82-1−1−52−1+52ζ4+ζ11ζ+ζ14ζ7+ζ8ζ2+ζ1302-1−1−52−1+52ζ4+ζ11ζ+ζ14ζ7+ζ8ζ2+ζ1302-1−1−52−1+52ζ4+ζ11ζ+ζ14ζ7+ζ8ζ2+ζ1302-1−1−52−1+52ζ4+ζ11ζ+ζ14ζ7+ζ8ζ2+ζ1302-1−1−52−1+52ζ4+ζ11ζ+ζ14ζ7+ζ8ζ2+ζ1302-1−1−52−1+52ζ4+ζ11ζ+ζ14ζ7+ζ8ζ2+ζ1302-1−1−52−1+52ζ4+ζ11ζ+ζ14ζ7+ζ8ζ2+ζ1302-1−1−52−1+52ζ4+ζ11ζ+ζ14ζ7+ζ8ζ2+ζ130
χ92-1−1−52−1+52ζ+ζ14ζ4+ζ11ζ2+ζ13ζ7+ζ802-1−1−52−1+52ζ+ζ14ζ4+ζ11ζ2+ζ13ζ7+ζ802-1−1−52−1+52ζ+ζ14ζ4+ζ11ζ2+ζ13ζ7+ζ802-1−1−52−1+52ζ+ζ14ζ4+ζ11ζ2+ζ13ζ7+ζ802-1−1−52−1+52ζ+ζ14ζ4+ζ11ζ2+ζ13ζ7+ζ802-1−1−52−1+52ζ+ζ14ζ4+ζ11ζ2+ζ13ζ7+ζ802-1−1−52−1+52ζ+ζ14ζ4+ζ11ζ2+ζ13ζ7+ζ802-1−1−52−1+52ζ+ζ14ζ4+ζ11ζ2+ζ13ζ7+ζ80
χ10111111111-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1
χ1111111111-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-11
χ1222−1+52−1−52−1+52−1+52−1−52−1−520-2-21−521+521−521−521+521+52022−1+52−1−52−1+52−1+52−1−52−1−520-2-21−521+521−521−521+521+52022−1+52−1−52−1+52−1+52−1−52−1−520-2-21−521+521−521−521+521+52022−1+52−1−52−1+52−1+52−1−52−1−520-2-21−521+521−521−521+521+520
χ1322−1−52−1+52−1−52−1−52−1+52−1+520-2-21+521−521+521+521−521−52022−1−52−1+52−1−52−1−52−1+52−1+520-2-21+521−521+521+521−521−52022−1−52−1+52−1−52−1−52−1+52−1+520-2-21+521−521+521+521−521−52022−1−52−1+52−1−52−1−52−1+52−1+520-2-21+521−521+521+521−521−520
χ142-122-1-1-1-10-21-2-2111102-122-1-1-1-10-21-2-2111102-122-1-1-1-10-21-2-2111102-122-1-1-1-10-21-2-211110
χ152-1−1+52−1−52ζ2+ζ13ζ7+ζ8ζ4+ζ11ζ+ζ140-211−521+52−ζ2−ζ13−ζ7−ζ8−ζ4−ζ11−ζ−ζ1402-1−1+52−1−52ζ2+ζ13ζ7+ζ8ζ4+ζ11ζ+ζ140-211−521+52−ζ2−ζ13−ζ7−ζ8−ζ4−ζ11−ζ−ζ1402-1−1+52−1−52ζ2+ζ13ζ7+ζ8ζ4+ζ11ζ+ζ140-211−521+52−ζ2−ζ13−ζ7−ζ8−ζ4−ζ11−ζ−ζ1402-1−1+52−1−52ζ2+ζ13ζ7+ζ8ζ4+ζ11ζ+ζ140-211−521+52−ζ2−ζ13−ζ7−ζ8−ζ4−ζ11−ζ−ζ140
χ162-1−1+52−1−52ζ7+ζ8ζ2+ζ13ζ+ζ14ζ4+ζ110-211−521+52−ζ7−ζ8−ζ2−ζ13−ζ−ζ14−ζ4−ζ1102-1−1+52−1−52ζ7+ζ8ζ2+ζ13ζ+ζ14ζ4+ζ110-211−521+52−ζ7−ζ8−ζ2−ζ13−ζ−ζ14−ζ4−ζ1102-1−1+52−1−52ζ7+ζ8ζ2+ζ13ζ+ζ14ζ4+ζ110-211−521+52−ζ7−ζ8−ζ2−ζ13−ζ−ζ14−ζ4−ζ1102-1−1+52−1−52ζ7+ζ8ζ2+ζ13ζ+ζ14ζ4+ζ110-211−521+52−ζ7−ζ8−ζ2−ζ13−ζ−ζ14−ζ4−ζ110
χ172-1−1−52−1+52ζ4+ζ11ζ+ζ14ζ7+ζ8ζ2+ζ130-211+521−52−ζ4−ζ11−ζ−ζ14−ζ7−ζ8−ζ2−ζ1302-1−1−52−1+52ζ4+ζ11ζ+ζ14ζ7+ζ8ζ2+ζ130-211+521−52−ζ4−ζ11−ζ−ζ14−ζ7−ζ8−ζ2−ζ1302-1−1−52−1+52ζ4+ζ11ζ+ζ14ζ7+ζ8ζ2+ζ130-211+521−52−ζ4−ζ11−ζ−ζ14−ζ7−ζ8−ζ2−ζ1302-1−1−52−1+52ζ4+ζ11ζ+ζ14ζ7+ζ8ζ2+ζ130-211+521−52−ζ4−ζ11−ζ−ζ14−ζ7−ζ8−ζ2−ζ130
χ182-1−1−52−1+52ζ+ζ14ζ4+ζ11ζ2+ζ13ζ7+ζ80-211+521−52−ζ−ζ14−ζ4−ζ11−ζ2−ζ13−ζ7−ζ802-1−1−52−1+52ζ+ζ14ζ4+ζ11ζ2+ζ13ζ7+ζ80-211+521−52−ζ−ζ14−ζ4−ζ11−ζ2−ζ13−ζ7−ζ802-1−1−52−1+52ζ+ζ14ζ4+ζ11ζ2+ζ13ζ7+ζ80-211+521−52−ζ−ζ14−ζ4−ζ11−ζ2−ζ13−ζ7−ζ802-1−1−52−1+52ζ+ζ14ζ4+ζ11ζ2+ζ13ζ7+ζ80-211+521−52−ζ−ζ14−ζ4−ζ11−ζ2−ζ13−ζ7−ζ80
χ19111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2011111111-111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111-111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11
χ2122−1+52−1−52−1+52−1+52−1−52−1−52022−1+52−1−52−1+52−1+52−1−52−1−520-2-21−521+521−521−521+521+520-2-21−521+521−521−521+521+52022−1+52−1−52−1+52−1+52−1−52−1−52022−1+52−1−52−1+52−1+52−1−52−1−520-2-21−521+521−521−521+521+520-2-21−521+521−521−521+521+520
χ2222−1−52−1+52−1−52−1−52−1+52−1+52022−1−52−1+52−1−52−1−52−1+52−1+520-2-21+521−521+521+521−521−520-2-21+521−521+521+521−521−52022−1−52−1+52−1−52−1−52−1+52−1+52022−1−52−1+52−1−52−1−52−1+52−1+520-2-21+521−521+521+521−521−520-2-21+521−521+521+521−521−520
χ232-122-1-1-1-102-122-1-1-1-10-21-2-211110-21-2-2111102-122-1-1-1-102-122-1-1-1-10-21-2-211110-21-2-211110
χ242-1−1+52−1−52ζ2+ζ13ζ7+ζ8ζ4+ζ11ζ+ζ1402-1−1+52−1−52ζ2+ζ13ζ7+ζ8ζ4+ζ11ζ+ζ140-211−521+52−ζ2−ζ13−ζ7−ζ8−ζ4−ζ11−ζ−ζ140-211−521+52−ζ2−ζ13−ζ7−ζ8−ζ4−ζ11−ζ−ζ1402-1−1+52−1−52ζ2+ζ13ζ7+ζ8ζ4+ζ11ζ+ζ1402-1−1+52−1−52ζ2+ζ13ζ7+ζ8ζ4+ζ11ζ+ζ140-211−521+52−ζ2−ζ13−ζ7−ζ8−ζ4−ζ11−ζ−ζ140-211−521+52−ζ2−ζ13−ζ7−ζ8−ζ4−ζ11−ζ−ζ140
χ252-1−1+52−1−52ζ7+ζ8ζ2+ζ13ζ+ζ14ζ4+ζ1102-1−1+52−1−52ζ7+ζ8ζ2+ζ13ζ+ζ14ζ4+ζ110-211−521+52−ζ7−ζ8−ζ2−ζ13−ζ−ζ14−ζ4−ζ110-211−521+52−ζ7−ζ8−ζ2−ζ13−ζ−ζ14−ζ4−ζ1102-1−1+52−1−52ζ7+ζ8ζ2+ζ13ζ+ζ14ζ4+ζ1102-1−1+52−1−52ζ7+ζ8ζ2+ζ13ζ+ζ14ζ4+ζ110-211−521+52−ζ7−ζ8−ζ2−ζ13−ζ−ζ14−ζ4−ζ110-211−521+52−ζ7−ζ8−ζ2−ζ13−ζ−ζ14−ζ4−ζ110
χ262-1−1−52−1+52ζ4+ζ11ζ+ζ14ζ7+ζ8ζ2+ζ1302-1−1−52−1+52ζ4+ζ11ζ+ζ14ζ7+ζ8ζ2+ζ130-211+521−52−ζ4−ζ11−ζ−ζ14−ζ7−ζ8−ζ2−ζ130-211+521−52−ζ4−ζ11−ζ−ζ14−ζ7−ζ8−ζ2−ζ1302-1−1−52−1+52ζ4+ζ11ζ+ζ14ζ7+ζ8ζ2+ζ1302-1−1−52−1+52ζ4+ζ11ζ+ζ14ζ7+ζ8ζ2+ζ130-211+521−52−ζ4−ζ11−ζ−ζ14−ζ7−ζ8−ζ2−ζ130-211+521−52−ζ4−ζ11−ζ−ζ14−ζ7−ζ8−ζ2−ζ130
χ272-1−1−52−1+52ζ+ζ14ζ4+ζ11ζ2+ζ13ζ7+ζ802-1−1−52−1+52ζ+ζ14ζ4+ζ11ζ2+ζ13ζ7+ζ80-211+521−52−ζ−ζ14−ζ4−ζ11−ζ2−ζ13−ζ7−ζ80-211+521−52−ζ−ζ14−ζ4−ζ11−ζ2−ζ13−ζ7−ζ802-1−1−52−1+52ζ+ζ14ζ4+ζ11ζ2+ζ13ζ7+ζ802-1−1−52−1+52ζ+ζ14ζ4+ζ11ζ2+ζ13ζ7+ζ80-211+521−52−ζ−ζ14−ζ4−ζ11−ζ2−ζ13−ζ7−ζ80-211+521−52−ζ−ζ14−ζ4−ζ11−ζ2−ζ13−ζ7−ζ80
χ28111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111
χ2911111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111-111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111-1
χ3022−1+52−1−52−1+52−1+52−1−52−1−520-2-21−521+521−521−521+521+520-2-21−521+521−521−521+521+52022−1+52−1−52−1+52−1+52−1−52−1−52022−1+52−1−52−1+52−1+52−1−52−1−520-2-21−521+521−521−521+521+520-2-21−521+521−521−521+521+52022−1+52−1−52−1+52−1+52−1−52−1−520
χ3122−1−52−1+52−1−52−1−52−1+52−1+520-2-21+521−521+521+521−521−520-2-21+521−521+521+521−521−52022−1−52−1+52−1−52−1−52−1+52−1+52022−1−52−1+52−1−52−1−52−1+52−1+520-2-21+521−521+521+521−521−520-2-21+521−521+521+521−521−52022−1−52−1+52−1−52−1−52−1+52−1+520
χ322-122-1-1-1-10-21-2-211110-21-2-2111102-122-1-1-1-102-122-1-1-1-10-21-2-211110-21-2-2111102-122-1-1-1-10
χ332-1−1+52−1−52ζ2+ζ13ζ7+ζ8ζ4+ζ11ζ+ζ140-211−521+52−ζ2−ζ13−ζ7−ζ8−ζ4−ζ11−ζ−ζ140-211−521+52−ζ2−ζ13−ζ7−ζ8−ζ4−ζ11−ζ−ζ1402-1−1+52−1−52ζ2+ζ13ζ7+ζ8ζ4+ζ11ζ+ζ1402-1−1+52−1−52ζ2+ζ13ζ7+ζ8ζ4+ζ11ζ+ζ140-211−521+52−ζ2−ζ13−ζ7−ζ8−ζ4−ζ11−ζ−ζ140-211−521+52−ζ2−ζ13−ζ7−ζ8−ζ4−ζ11−ζ−ζ1402-1−1+52−1−52ζ2+ζ13ζ7+ζ8ζ4+ζ11ζ+ζ140
χ342-1−1+52−1−52ζ7+ζ8ζ2+ζ13ζ+ζ14ζ4+ζ110-211−521+52−ζ7−ζ8−ζ2−ζ13−ζ−ζ14−ζ4−ζ110-211−521+52−ζ7−ζ8−ζ2−ζ13−ζ−ζ14−ζ4−ζ1102-1−1+52−1−52ζ7+ζ8ζ2+ζ13ζ+ζ14ζ4+ζ1102-1−1+52−1−52ζ7+ζ8ζ2+ζ13ζ+ζ14ζ4+ζ110-211−521+52−ζ7−ζ8−ζ2−ζ13−ζ−ζ14−ζ4−ζ110-211−521+52−ζ7−ζ8−ζ2−ζ13−ζ−ζ14−ζ4−ζ1102-1−1+52−1−52ζ7+ζ8ζ2+ζ13ζ+ζ14ζ4+ζ110
χ352-1−1−52−1+52ζ4+ζ11ζ+ζ14ζ7+ζ8ζ2+ζ130-211+521−52−ζ4−ζ11−ζ−ζ14−ζ7−ζ8−ζ2−ζ130-211+521−52−ζ4−ζ11−ζ−ζ14−ζ7−ζ8−ζ2−ζ1302-1−1−52−1+52ζ4+ζ11ζ+ζ14ζ7+ζ8ζ2+ζ1302-1−1−52−1+52ζ4+ζ11ζ+ζ14ζ7+ζ8ζ2+ζ130-211+521−52−ζ4−ζ11−ζ−ζ14−ζ7−ζ8−ζ2−ζ130-211+521−52−ζ4−ζ11−ζ−ζ14−ζ7−ζ8−ζ2−ζ1302-1−1−52−1+52ζ4+ζ11ζ+ζ14ζ7+ζ8ζ2+ζ130
χ362-1−1−52−1+52ζ+ζ14ζ4+ζ11ζ2+ζ13ζ7+ζ80-211+521−52−ζ−ζ14−ζ4−ζ11−ζ2−ζ13−ζ7−ζ80-211+521−52−ζ−ζ14−ζ4−ζ11−ζ2−ζ13−ζ7−ζ802-1−1−52−1+52ζ+ζ14ζ4+ζ11ζ2+ζ13ζ7+ζ802-1−1−52−1+52ζ+ζ14ζ4+ζ11ζ2+ζ13ζ7+ζ80-211+521−52−ζ−ζ14−ζ4−ζ11−ζ2−ζ13−ζ7−ζ80-211+521−52−ζ−ζ14−ζ4−ζ11−ζ2−ζ13−ζ7−ζ802-1−1−52−1+52ζ+ζ14ζ4+ζ11ζ2+ζ13ζ7+ζ80
χ37111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3811111111-111111111-111111111-111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11
χ3922−1+52−1−52−1+52−1+52−1−52−1−52022−1+52−1−52−1+52−1+52−1−52−1−52022−1+52−1−52−1+52−1+52−1−52−1−52022−1+52−1−52−1+52−1+52−1−52−1−520-2-21−521+521−521−521+521+520-2-21−521+521−521−521+521+520-2-21−521+521−521−521+521+520-2-21−521+521−521−521+521+520
χ4022−1−52−1+52−1−52−1−52−1+52−1+52022−1−52−1+52−1−52−1−52−1+52−1+52022−1−52−1+52−1−52−1−52−1+52−1+52022−1−52−1+52−1−52−1−52−1+52−1+520-2-21+521−521+521+521−521−520-2-21+521−521+521+521−521−520-2-21+521−521+521+521−521−520-2-21+521−521+521+521−521−520
χ412-122-1-1-1-102-122-1-1-1-102-122-1-1-1-102-122-1-1-1-10-21-2-211110-21-2-211110-21-2-211110-21-2-211110
χ422-1−1+52−1−52ζ2+ζ13ζ7+ζ8ζ4+ζ11ζ+ζ1402-1−1+52−1−52ζ2+ζ13ζ7+ζ8ζ4+ζ11ζ+ζ1402-1−1+52−1−52ζ2+ζ13ζ7+ζ8ζ4+ζ11ζ+ζ1402-1−1+52−1−52ζ2+ζ13ζ7+ζ8ζ4+ζ11ζ+ζ140-211−521+52−ζ2−ζ13−ζ7−ζ8−ζ4−ζ11−ζ−ζ140-211−521+52−ζ2−ζ13−ζ7−ζ8−ζ4−ζ11−ζ−ζ140-211−521+52−ζ2−ζ13−ζ7−ζ8−ζ4−ζ11−ζ−ζ140-211−521+52−ζ2−ζ13−ζ7−ζ8−ζ4−ζ11−ζ−ζ140
χ432-1−1+52−1−52ζ7+ζ8ζ2+ζ13ζ+ζ14ζ4+ζ1102-1−1+52−1−52ζ7+ζ8ζ2+ζ13ζ+ζ14ζ4+ζ1102-1−1+52−1−52ζ7+ζ8ζ2+ζ13ζ+ζ14ζ4+ζ1102-1−1+52−1−52ζ7+ζ8ζ2+ζ13ζ+ζ14ζ4+ζ110-211−521+52−ζ7−ζ8−ζ2−ζ13−ζ−ζ14−ζ4−ζ110-211−521+52−ζ7−ζ8−ζ2−ζ13−ζ−ζ14−ζ4−ζ110-211−521+52−ζ7−ζ8−ζ2−ζ13−ζ−ζ14−ζ4−ζ110-211−521+52−ζ7−ζ8−ζ2−ζ13−ζ−ζ14−ζ4−ζ110
χ442-1−1−52−1+52ζ4+ζ11ζ+ζ14ζ7+ζ8ζ2+ζ1302-1−1−52−1+52ζ4+ζ11ζ+ζ14ζ7+ζ8ζ2+ζ1302-1−1−52−1+52ζ4+ζ11ζ+ζ14ζ7+ζ8ζ2+ζ1302-1−1−52−1+52ζ4+ζ11ζ+ζ14ζ7+ζ8ζ2+ζ130-211+521−52−ζ4−ζ11−ζ−ζ14−ζ7−ζ8−ζ2−ζ130-211+521−52−ζ4−ζ11−ζ−ζ14−ζ7−ζ8−ζ2−ζ130-211+521−52−ζ4−ζ11−ζ−ζ14−ζ7−ζ8−ζ2−ζ130-211+521−52−ζ4−ζ11−ζ−ζ14−ζ7−ζ8−ζ2−ζ130
χ452-1−1−52−1+52ζ+ζ14ζ4+ζ11ζ2+ζ13ζ7+ζ802-1−1−52−1+52ζ+ζ14ζ4+ζ11ζ2+ζ13ζ7+ζ802-1−1−52−1+52ζ+ζ14ζ4+ζ11ζ2+ζ13ζ7+ζ802-1−1−52−1+52ζ+ζ14ζ4+ζ11ζ2+ζ13ζ7+ζ80-211+521−52−ζ−ζ14−ζ4−ζ11−ζ2−ζ13−ζ7−ζ80-211+521−52−ζ−ζ14−ζ4−ζ11−ζ2−ζ13−ζ7−ζ80-211+521−52−ζ−ζ14−ζ4−ζ11−ζ2−ζ13−ζ7−ζ80-211+521−52−ζ−ζ14−ζ4−ζ11−ζ2−ζ13−ζ7−ζ80
χ46111111111-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1111111111
χ4711111111-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1111111111-1
χ4822−1+52−1−52−1+52−1+52−1−52−1−520-2-21−521+521−521−521+521+52022−1+52−1−52−1+52−1+52−1−52−1−520-2-21−521+521−521−521+521+520-2-21−521+521−521−521+521+52022−1+52−1−52−1+52−1+52−1−52−1−520-2-21−521+521−521−521+521+52022−1+52−1−52−1+52−1+52−1−52−1−520
χ4922−1−52−1+52−1−52−1−52−1+52−1+520-2-21+521−521+521+521−521−52022−1−52−1+52−1−52−1−52−1+52−1+520-2-21+521−521+521+521−521−520-2-21+521−521+521+521−521−52022−1−52−1+52−1−52−1−52−1+52−1+520-2-21+521−521+521+521−521−52022−1−52−1+52−1−52−1−52−1+52−1+520
χ502-122-1-1-1-10-21-2-2111102-122-1-1-1-10-21-2-211110-21-2-2111102-122-1-1-1-10-21-2-2111102-122-1-1-1-10
χ512-1−1+52−1−52ζ2+ζ13ζ7+ζ8ζ4+ζ11ζ+ζ140-211−521+52−ζ2−ζ13−ζ7−ζ8−ζ4−ζ11−ζ−ζ1402-1−1+52−1−52ζ2+ζ13ζ7+ζ8ζ4+ζ11ζ+ζ140-211−521+52−ζ2−ζ13−ζ7−ζ8−ζ4−ζ11−ζ−ζ140-211−521+52−ζ2−ζ13−ζ7−ζ8−ζ4−ζ11−ζ−ζ1402-1−1+52−1−52ζ2+ζ13ζ7+ζ8ζ4+ζ11ζ+ζ140-211−521+52−ζ2−ζ13−ζ7−ζ8−ζ4−ζ11−ζ−ζ1402-1−1+52−1−52ζ2+ζ13ζ7+ζ8ζ4+ζ11ζ+ζ140
χ522-1−1+52−1−52ζ7+ζ8ζ2+ζ13ζ+ζ14ζ4+ζ110-211−521+52−ζ7−ζ8−ζ2−ζ13−ζ−ζ14−ζ4−ζ1102-1−1+52−1−52ζ7+ζ8ζ2+ζ13ζ+ζ14ζ4+ζ110-211−521+52−ζ7−ζ8−ζ2−ζ13−ζ−ζ14−ζ4−ζ110-211−521+52−ζ7−ζ8−ζ2−ζ13−ζ−ζ14−ζ4−ζ1102-1−1+52−1−52ζ7+ζ8ζ2+ζ13ζ+ζ14ζ4+ζ110-211−521+52−ζ7−ζ8−ζ2−ζ13−ζ−ζ14−ζ4−ζ1102-1−1+52−1−52ζ7+ζ8ζ2+ζ13ζ+ζ14ζ4+ζ110
χ532-1−1−52−1+52ζ4+ζ11ζ+ζ14ζ7+ζ8ζ2+ζ130-211+521−52−ζ4−ζ11−ζ−ζ14−ζ7−ζ8−ζ2−ζ1302-1−1−52−1+52ζ4+ζ11ζ+ζ14ζ7+ζ8ζ2+ζ130-211+521−52−ζ4−ζ11−ζ−ζ14−ζ7−ζ8−ζ2−ζ130-211+521−52−ζ4−ζ11−ζ−ζ14−ζ7−ζ8−ζ2−ζ1302-1−1−52−1+52ζ4+ζ11ζ+ζ14ζ7+ζ8ζ2+ζ130-211+521−52−ζ4−ζ11−ζ−ζ14−ζ7−ζ8−ζ2−ζ1302-1−1−52−1+52ζ4+ζ11ζ+ζ14ζ7+ζ8ζ2+ζ130
χ542-1−1−52−1+52ζ+ζ14ζ4+ζ11ζ2+ζ13ζ7+ζ80-211+521−52−ζ−ζ14−ζ4−ζ11−ζ2−ζ13−ζ7−ζ802-1−1−52−1+52ζ+ζ14ζ4+ζ11ζ2+ζ13ζ7+ζ80-211+521−52−ζ−ζ14−ζ4−ζ11−ζ2−ζ13−ζ7−ζ80-211+521−52−ζ−ζ14−ζ4−ζ11−ζ2−ζ13−ζ7−ζ802-1−1−52−1+52ζ+ζ14ζ4+ζ11ζ2+ζ13ζ7+ζ80-211+521−52−ζ−ζ14−ζ4−ζ11−ζ2−ζ13−ζ7−ζ802-1−1−52−1+52ζ+ζ14ζ4+ζ11ζ2+ζ13ζ7+ζ80
χ55111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111
χ5611111111-111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111-111111111-1
χ5722−1+52−1−52−1+52−1+52−1−52−1−52022−1+52−1−52−1+52−1+52−1−52−1−520-2-21−521+521−521−521+521+520-2-21−521+521−521−521+521+520-2-21−521+521−521−521+521+520-2-21−521+521−521−521+521+52022−1+52−1−52−1+52−1+52−1−52−1−52022−1+52−1−52−1+52−1+52−1−52−1−520
χ5822−1−52−1+52−1−52−1−52−1+52−1+52022−1−52−1+52−1−52−1−52−1+52−1+520-2-21+521−521+521+521−521−520-2-21+521−521+521+521−521−520-2-21+521−521+521+521−521−520-2-21+521−521+521+521−521−52022−1−52−1+52−1−52−1−52−1+52−1+52022−1−52−1+52−1−52−1−52−1+52−1+520
χ592-122-1-1-1-102-122-1-1-1-10-21-2-211110-21-2-211110-21-2-211110-21-2-2111102-122-1-1-1-102-122-1-1-1-10
χ602-1−1+52−1−52ζ2+ζ13ζ7+ζ8ζ4+ζ11ζ+ζ1402-1−1+52−1−52ζ2+ζ13ζ7+ζ8ζ4+ζ11ζ+ζ140-211−521+52−ζ2−ζ13−ζ7−ζ8−ζ4−ζ11−ζ−ζ140-211−521+52−ζ2−ζ13−ζ7−ζ8−ζ4−ζ11−ζ−ζ140-211−521+52−ζ2−ζ13−ζ7−ζ8−ζ4−ζ11−ζ−ζ140-211−521+52−ζ2−ζ13−ζ7−ζ8−ζ4−ζ11−ζ−ζ1402-1−1+52−1−52ζ2+ζ13ζ7+ζ8ζ4+ζ11ζ+ζ1402-1−1+52−1−52ζ2+ζ13ζ7+ζ8ζ4+ζ11ζ+ζ140
χ612-1−1+52−1−52ζ7+ζ8ζ2+ζ13ζ+ζ14ζ4+ζ1102-1−1+52−1−52ζ7+ζ8ζ2+ζ13ζ+ζ14ζ4+ζ110-211−521+52−ζ7−ζ8−ζ2−ζ13−ζ−ζ14−ζ4−ζ110-211−521+52−ζ7−ζ8−ζ2−ζ13−ζ−ζ14−ζ4−ζ110-211−521+52−ζ7−ζ8−ζ2−ζ13−ζ−ζ14−ζ4−ζ110-211−521+52−ζ7−ζ8−ζ2−ζ13−ζ−ζ14−ζ4−ζ1102-1−1+52−1−52ζ7+ζ8ζ2+ζ13ζ+ζ14ζ4+ζ1102-1−1+52−1−52ζ7+ζ8ζ2+ζ13ζ+ζ14ζ4+ζ110
χ622-1−1−52−1+52ζ4+ζ11ζ+ζ14ζ7+ζ8ζ2+ζ1302-1−1−52−1+52ζ4+ζ11ζ+ζ14ζ7+ζ8ζ2+ζ130-211+521−52−ζ4−ζ11−ζ−ζ14−ζ7−ζ8−ζ2−ζ130-211+521−52−ζ4−ζ11−ζ−ζ14−ζ7−ζ8−ζ2−ζ130-211+521−52−ζ4−ζ11−ζ−ζ14−ζ7−ζ8−ζ2−ζ130-211+521−52−ζ4−ζ11−ζ−ζ14−ζ7−ζ8−ζ2−ζ1302-1−1−52−1+52ζ4+ζ11ζ+ζ14ζ7+ζ8ζ2+ζ1302-1−1−52−1+52ζ4+ζ11ζ+ζ14ζ7+ζ8ζ2+ζ130
χ632-1−1−52−1+52ζ+ζ14ζ4+ζ11ζ2+ζ13ζ7+ζ802-1−1−52−1+52ζ+ζ14ζ4+ζ11ζ2+ζ13ζ7+ζ80-211+521−52−ζ−ζ14−ζ4−ζ11−ζ2−ζ13−ζ7−ζ80-211+521−52−ζ−ζ14−ζ4−ζ11−ζ2−ζ13−ζ7−ζ80-211+521−52−ζ−ζ14−ζ4−ζ11−ζ2−ζ13−ζ7−ζ80-211+521−52−ζ−ζ14−ζ4−ζ11−ζ2−ζ13−ζ7−ζ802-1−1−52−1+52ζ+ζ14ζ4+ζ11ζ2+ζ13ζ7+ζ802-1−1−52−1+52ζ+ζ14ζ4+ζ11ζ2+ζ13ζ7+ζ80
χ64111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1
χ6511111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1111111111-111111111-1-1-1-1-1-1-1-1-11
χ6622−1+52−1−52−1+52−1+52−1−52−1−520-2-21−521+521−521−521+521+520-2-21−521+521−521−521+521+52022−1+52−1−52−1+52−1+52−1−52−1−520-2-21−521+521−521−521+521+52022−1+52−1−52−1+52−1+52−1−52−1−52022−1+52−1−52−1+52−1+52−1−52−1−520-2-21−521+521−521−521+521+520
χ6722−1−52−1+52−1−52−1−52−1+52−1+520-2-21+521−521+521+521−521−520-2-21+521−521+521+521−521−52022−1−52−1+52−1−52−1−52−1+52−1+520-2-21+521−521+521+521−521−52022−1−52−1+52−1−52−1−52−1+52−1+52022−1−52−1+52−1−52−1−52−1+52−1+520-2-21+521−521+521+521−521−520
χ682-122-1-1-1-10-21-2-211110-21-2-2111102-122-1-1-1-10-21-2-2111102-122-1-1-1-102-122-1-1-1-10-21-2-211110
χ692-1−1+52−1−52ζ2+ζ13ζ7+ζ8ζ4+ζ11ζ+ζ140-211−521+52−ζ2−ζ13−ζ7−ζ8−ζ4−ζ11−ζ−ζ140-211−521+52−ζ2−ζ13−ζ7−ζ8−ζ4−ζ11−ζ−ζ1402-1−1+52−1−52ζ2+ζ13ζ7+ζ8ζ4+ζ11ζ+ζ140-211−521+52−ζ2−ζ13−ζ7−ζ8−ζ4−ζ11−ζ−ζ1402-1−1+52−1−52ζ2+ζ13ζ7+ζ8ζ4+ζ11ζ+ζ1402-1−1+52−1−52ζ2+ζ13ζ7+ζ8ζ4+ζ11ζ+ζ140-211−521+52−ζ2−ζ13−ζ7−ζ8−ζ4−ζ11−ζ−ζ140
χ702-1−1+52−1−52ζ7+ζ8ζ2+ζ13ζ+ζ14ζ4+ζ110-211−521+52−ζ7−ζ8−ζ2−ζ13−ζ−ζ14−ζ4−ζ110-211−521+52−ζ7−ζ8−ζ2−ζ13−ζ−ζ14−ζ4−ζ1102-1−1+52−1−52ζ7+ζ8ζ2+ζ13ζ+ζ14ζ4+ζ110-211−521+52−ζ7−ζ8−ζ2−ζ13−ζ−ζ14−ζ4−ζ1102-1−1+52−1−52ζ7+ζ8ζ2+ζ13ζ+ζ14ζ4+ζ1102-1−1+52−1−52ζ7+ζ8ζ2+ζ13ζ+ζ14ζ4+ζ110-211−521+52−ζ7−ζ8−ζ2−ζ13−ζ−ζ14−ζ4−ζ110
χ712-1−1−52−1+52ζ4+ζ11ζ+ζ14ζ7+ζ8ζ2+ζ130-211+521−52−ζ4−ζ11−ζ−ζ14−ζ7−ζ8−ζ2−ζ130-211+521−52−ζ4−ζ11−ζ−ζ14−ζ7−ζ8−ζ2−ζ1302-1−1−52−1+52ζ4+ζ11ζ+ζ14ζ7+ζ8ζ2+ζ130-211+521−52−ζ4−ζ11−ζ−ζ14−ζ7−ζ8−ζ2−ζ1302-1−1−52−1+52ζ4+ζ11ζ+ζ14ζ7+ζ8ζ2+ζ1302-1−1−52−1+52ζ4+ζ11ζ+ζ14ζ7+ζ8ζ2+ζ130-211+521−52−ζ4−ζ11−ζ−ζ14−ζ7−ζ8−ζ2−ζ130
χ722-1−1−52−1+52ζ+ζ14ζ4+ζ11ζ2+ζ13ζ7+ζ80-211+521−52−ζ−ζ14−ζ4−ζ11−ζ2−ζ13−ζ7−ζ80-211+521−52−ζ−ζ14−ζ4−ζ11−ζ2−ζ13−ζ7−ζ802-1−1−52−1+52ζ+ζ14ζ4+ζ11ζ2+ζ13ζ7+ζ80-211+521−52−ζ−ζ14−ζ4−ζ11−ζ2−ζ13−ζ7−ζ802-1−1−52−1+52ζ+ζ14ζ4+ζ11ζ2+ζ13ζ7+ζ802-1−1−52−1+52ζ+ζ14ζ4+ζ11ζ2+ζ13ζ7+ζ80-211+521−52−ζ−ζ14−ζ4−ζ11−ζ2−ζ13−ζ7−ζ80

Here ζ is a primitive root of unity of order 15 (ζ15 = 1).