Finite Group Databasebeta

← Group #10624216

Character table — Group #10624216

Order 720.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size12222222151222222215244444443024444444302444444430244444443024444444306121212121212129061212121212121290
order13551515151522610103030303022610103030303023315151515151566630303030303066630303030303066630303030303062610103030303024122020606060604
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111-111111111-111111111-111111111-111111111-111111111-111111111-111111111-111111111-1
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+52−1−52−1−52022−1+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+52022−1−52−1+52−1−52−1−52−1+52−1+520
χ52-122-1-1-1-102-122-1-1-1-102-122-1-1-1-102-122-1-1-1-102-122-1-1-1-102-122-1-1-1-102-122-1-1-1-102-122-1-1-1-102-122-1-1-1-10
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+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+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+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+ζ802-1−1−52−1+52ζ+ζ14ζ4+ζ11ζ2+ζ13ζ7+ζ80
χ10111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ1111111111-111111111-111111111-111111111-111111111-111111111-111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11
χ1222−1+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+52−1−52−1−520-2-21−521+521−521−521+521+520-2-21−521+521−521−521+521+520
χ1322−1−52−1+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+520-2-21+521−521+521+521−521−520-2-21+521−521+521+521−521−520
χ142-122-1-1-1-102-122-1-1-1-102-122-1-1-1-102-122-1-1-1-102-122-1-1-1-102-122-1-1-1-102-122-1-1-1-10-21-2-211110-21-2-211110
χ152-1−1+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+ζ140-211−521+52−ζ2−ζ13−ζ7−ζ8−ζ4−ζ11−ζ−ζ140-211−521+52−ζ2−ζ13−ζ7−ζ8−ζ4−ζ11−ζ−ζ140
χ162-1−1+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+ζ110-211−521+52−ζ7−ζ8−ζ2−ζ13−ζ−ζ14−ζ4−ζ110-211−521+52−ζ7−ζ8−ζ2−ζ13−ζ−ζ14−ζ4−ζ110
χ172-1−1−52−1+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+ζ130-211+521−52−ζ4−ζ11−ζ−ζ14−ζ7−ζ8−ζ2−ζ130-211+521−52−ζ4−ζ11−ζ−ζ14−ζ7−ζ8−ζ2−ζ130
χ182-1−1−52−1+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+ζ80-211+521−52−ζ−ζ14−ζ4−ζ11−ζ2−ζ13−ζ7−ζ80-211+521−52−ζ−ζ14−ζ4−ζ11−ζ2−ζ13−ζ7−ζ80
χ19111111111111111111-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1
χ2011111111-111111111-1-1-1-1-1-1-1-1-1111111111-111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-11
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+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+52−1−52−1−520-2-21−521+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+521−521−52022−1−52−1+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+520-2-21+521−521+521+521−521−520
χ232-122-1-1-1-102-122-1-1-1-10-21-2-2111102-122-1-1-1-102-122-1-1-1-10-21-2-211110-21-2-2111102-122-1-1-1-10-21-2-211110
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−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+ζ140-211−521+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−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+ζ110-211−521+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−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+ζ130-211+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−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+ζ80-211+521−52−ζ−ζ14−ζ4−ζ11−ζ2−ζ13−ζ7−ζ80
χ28111111111111111111-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111
χ2911111111-111111111-1-1-1-1-1-1-1-1-1111111111-111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111-1
χ3022−1+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+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+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+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+521−521−520-2-21+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
χ322-122-1-1-1-102-122-1-1-1-10-21-2-2111102-122-1-1-1-102-122-1-1-1-10-21-2-211110-21-2-211110-21-2-2111102-122-1-1-1-10
χ332-1−1+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−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−ζ1402-1−1+52−1−52ζ2+ζ13ζ7+ζ8ζ4+ζ11ζ+ζ140
χ342-1−1+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−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−ζ1102-1−1+52−1−52ζ7+ζ8ζ2+ζ13ζ+ζ14ζ4+ζ110
χ352-1−1−52−1+52ζ4+ζ11ζ+ζ14ζ7+ζ8ζ2+ζ1302-1−1−52−1+52ζ4+ζ11ζ+ζ14ζ7+ζ8ζ2+ζ130-211+521−52−ζ4−ζ11−ζ−ζ14−ζ7−ζ8−ζ2−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−ζ1302-1−1−52−1+52ζ4+ζ11ζ+ζ14ζ7+ζ8ζ2+ζ130
χ362-1−1−52−1+52ζ+ζ14ζ4+ζ11ζ2+ζ13ζ7+ζ802-1−1−52−1+52ζ+ζ14ζ4+ζ11ζ2+ζ13ζ7+ζ80-211+521−52−ζ−ζ14−ζ4−ζ11−ζ2−ζ13−ζ7−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−ζ802-1−1−52−1+52ζ+ζ14ζ4+ζ11ζ2+ζ13ζ7+ζ80
χ37222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ3822222222-222222222-222222222-2-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11000000000000000000
χ3944−1+5−1−5−1+5−1+5−1−5−1−5044−1+5−1−5−1+5−1+5−1−5−1−5044−1+5−1−5−1+5−1+5−1−5−1−50-2-21−521+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+520000000000000000000
χ4044−1−5−1+5−1−5−1−5−1+5−1+5044−1−5−1+5−1−5−1−5−1+5−1+5044−1−5−1+5−1−5−1−5−1+5−1+50-2-21+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+521−521−520000000000000000000
χ414-244-2-2-2-204-244-2-2-2-204-244-2-2-2-20-21-2-211110-21-2-211110-21-2-211110-21-2-211110000000000000000000
χ424-2−1+5−1−52ζ2+2ζ132ζ7+2ζ82ζ4+2ζ112ζ+2ζ1404-2−1+5−1−52ζ2+2ζ132ζ7+2ζ82ζ4+2ζ112ζ+2ζ1404-2−1+5−1−52ζ2+2ζ132ζ7+2ζ82ζ4+2ζ112ζ+2ζ140-211−521+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−ζ140000000000000000000
χ434-2−1+5−1−52ζ7+2ζ82ζ2+2ζ132ζ+2ζ142ζ4+2ζ1104-2−1+5−1−52ζ7+2ζ82ζ2+2ζ132ζ+2ζ142ζ4+2ζ1104-2−1+5−1−52ζ7+2ζ82ζ2+2ζ132ζ+2ζ142ζ4+2ζ110-211−521+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−ζ110000000000000000000
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χ794-2−1+5−1−52ζ7+2ζ82ζ2+2ζ132ζ+2ζ142ζ4+2ζ110-421−51+5−2ζ7−2ζ8−2ζ2−2ζ13−2ζ−2ζ14−2ζ4−2ζ110000000000-211−521+52−ζ7−ζ8−ζ2−ζ13−ζ−ζ14−ζ4−ζ1102-1−1+52−1−52ζ7+ζ8ζ2+ζ13ζ+ζ14ζ4+ζ110−2i3i3−ζ2+ζ7−ζ8+ζ13ζ+ζ4−ζ11−ζ142ζ2+ζ7−ζ8−2ζ13−ζ2−2ζ7+2ζ8+ζ13ζ−2ζ4+2ζ11−ζ14−2ζ+ζ4−ζ11+2ζ1402i3−i3ζ2−ζ7+ζ8−ζ13−ζ−ζ4+ζ11+ζ14−2ζ2−ζ7+ζ8+2ζ13ζ2+2ζ7−2ζ8−ζ13−ζ+2ζ4−2ζ11+ζ142ζ−ζ4+ζ11−2ζ140000000000000000000
χ804-2−1−5−1+52ζ4+2ζ112ζ+2ζ142ζ7+2ζ82ζ2+2ζ130-421+51−5−2ζ4−2ζ11−2ζ−2ζ14−2ζ7−2ζ8−2ζ2−2ζ130000000000-211+521−52−ζ4−ζ11−ζ−ζ14−ζ7−ζ8−ζ2−ζ1302-1−1−52−1+52ζ4+ζ11ζ+ζ14ζ7+ζ8ζ2+ζ130−2i3i3ζ+ζ4−ζ11−ζ14−ζ2+ζ7−ζ8+ζ13−2ζ+ζ4−ζ11+2ζ14ζ−2ζ4+2ζ11−ζ142ζ2+ζ7−ζ8−2ζ13−ζ2−2ζ7+2ζ8+ζ1302i3−i3−ζ−ζ4+ζ11+ζ14ζ2−ζ7+ζ8−ζ132ζ−ζ4+ζ11−2ζ14−ζ+2ζ4−2ζ11+ζ14−2ζ2−ζ7+ζ8+2ζ13ζ2+2ζ7−2ζ8−ζ130000000000000000000
χ814-2−1−5−1+52ζ+2ζ142ζ4+2ζ112ζ2+2ζ132ζ7+2ζ80-421+51−5−2ζ−2ζ14−2ζ4−2ζ11−2ζ2−2ζ13−2ζ7−2ζ80000000000-211+521−52−ζ−ζ14−ζ4−ζ11−ζ2−ζ13−ζ7−ζ802-1−1−52−1+52ζ+ζ14ζ4+ζ11ζ2+ζ13ζ7+ζ80−2i3i3ζ+ζ4−ζ11−ζ14−ζ2+ζ7−ζ8+ζ13ζ−2ζ4+2ζ11−ζ14−2ζ+ζ4−ζ11+2ζ14−ζ2−2ζ7+2ζ8+ζ132ζ2+ζ7−ζ8−2ζ1302i3−i3−ζ−ζ4+ζ11+ζ14ζ2−ζ7+ζ8−ζ13−ζ+2ζ4−2ζ11+ζ142ζ−ζ4+ζ11−2ζ14ζ2+2ζ7−2ζ8−ζ13−2ζ2−ζ7+ζ8+2ζ130000000000000000000

Here ζ is a primitive root of unity of order 15 (ζ15 = 1); i = ζ3.