Finite Group Databasebeta

← Group #10624076

Character table — Group #10624076

Order 720.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size12222222151222222215488888886048888888604888888860488888886061212121212121290
order13551515151522610103030303023315151515151563315151515151566630303030303066630303030303064122020606060604
χ1111111111111111111111111111111111111111111111111111111111111111
χ211111111-111111111-111111111-111111111-111111111-111111111-111111111-1
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+52−1−52−1−520
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+520
χ52-122-1-1-1-102-122-1-1-1-102-122-1-1-1-102-122-1-1-1-102-122-1-1-1-102-122-1-1-1-102-122-1-1-1-10
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+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+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+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+ζ80
χ10111111111111111111−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111
χ1111111111-111111111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i3211111111-1
χ1222−1+52−1−52−1+52−1+52−1−52−1−52022−1+52−1−52−1+52−1+52−1−52−1−520−1+i3−1+i3ζ2+ζ8ζ11+ζ14ζ2+ζ8ζ2+ζ8ζ11+ζ14ζ11+ζ140−1−i3−1−i3ζ7+ζ13ζ+ζ4ζ7+ζ13ζ7+ζ13ζ+ζ4ζ+ζ40−1+i3−1+i3ζ2+ζ8ζ11+ζ14ζ2+ζ8ζ2+ζ8ζ11+ζ14ζ11+ζ140−1−i3−1−i3ζ7+ζ13ζ+ζ4ζ7+ζ13ζ7+ζ13ζ+ζ4ζ+ζ4022−1+52−1−52−1+52−1+52−1−52−1−520
χ1322−1−52−1+52−1−52−1−52−1+52−1+52022−1−52−1+52−1−52−1−52−1+52−1+520−1+i3−1+i3ζ11+ζ14ζ2+ζ8ζ11+ζ14ζ11+ζ14ζ2+ζ8ζ2+ζ80−1−i3−1−i3ζ+ζ4ζ7+ζ13ζ+ζ4ζ+ζ4ζ7+ζ13ζ7+ζ130−1+i3−1+i3ζ11+ζ14ζ2+ζ8ζ11+ζ14ζ11+ζ14ζ2+ζ8ζ2+ζ80−1−i3−1−i3ζ+ζ4ζ7+ζ13ζ+ζ4ζ+ζ4ζ7+ζ13ζ7+ζ13022−1−52−1+52−1−52−1−52−1+52−1+520
χ142-122-1-1-1-102-122-1-1-1-10−1+i31−i32−1+i3−1+i31−i321−i321−i321−i320−1−i31+i32−1−i3−1−i31+i321+i321+i321+i320−1+i31−i32−1+i3−1+i31−i321−i321−i321−i320−1−i31+i32−1−i3−1−i31+i321+i321+i321+i3202-122-1-1-1-10
χ152-1−1+52−1−52ζ2+ζ13ζ7+ζ8ζ4+ζ11ζ+ζ1402-1−1+52−1−52ζ2+ζ13ζ7+ζ8ζ4+ζ11ζ+ζ140−1+i31−i32ζ2+ζ8ζ11+ζ14ζ7−ζ8−ζ13−ζ2−ζ7+ζ13ζ−ζ4−ζ14−ζ+ζ4−ζ110−1−i31+i32ζ7+ζ13ζ+ζ4−ζ2−ζ7+ζ8ζ2−ζ8−ζ13−ζ−ζ11+ζ14−ζ4+ζ11−ζ140−1+i31−i32ζ2+ζ8ζ11+ζ14ζ7−ζ8−ζ13−ζ2−ζ7+ζ13ζ−ζ4−ζ14−ζ+ζ4−ζ110−1−i31+i32ζ7+ζ13ζ+ζ4−ζ2−ζ7+ζ8ζ2−ζ8−ζ13−ζ−ζ11+ζ14−ζ4+ζ11−ζ1402-1−1+52−1−52ζ2+ζ13ζ7+ζ8ζ4+ζ11ζ+ζ140
χ162-1−1+52−1−52ζ7+ζ8ζ2+ζ13ζ+ζ14ζ4+ζ1102-1−1+52−1−52ζ7+ζ8ζ2+ζ13ζ+ζ14ζ4+ζ110−1+i31−i32ζ2+ζ8ζ11+ζ14−ζ2−ζ7+ζ13ζ7−ζ8−ζ13−ζ+ζ4−ζ11ζ−ζ4−ζ140−1−i31+i32ζ7+ζ13ζ+ζ4ζ2−ζ8−ζ13−ζ2−ζ7+ζ8−ζ4+ζ11−ζ14−ζ−ζ11+ζ140−1+i31−i32ζ2+ζ8ζ11+ζ14−ζ2−ζ7+ζ13ζ7−ζ8−ζ13−ζ+ζ4−ζ11ζ−ζ4−ζ140−1−i31+i32ζ7+ζ13ζ+ζ4ζ2−ζ8−ζ13−ζ2−ζ7+ζ8−ζ4+ζ11−ζ14−ζ−ζ11+ζ1402-1−1+52−1−52ζ7+ζ8ζ2+ζ13ζ+ζ14ζ4+ζ110
χ172-1−1−52−1+52ζ4+ζ11ζ+ζ14ζ7+ζ8ζ2+ζ1302-1−1−52−1+52ζ4+ζ11ζ+ζ14ζ7+ζ8ζ2+ζ130−1+i31−i32ζ11+ζ14ζ2+ζ8ζ−ζ4−ζ14−ζ+ζ4−ζ11−ζ2−ζ7+ζ13ζ7−ζ8−ζ130−1−i31+i32ζ+ζ4ζ7+ζ13−ζ−ζ11+ζ14−ζ4+ζ11−ζ14ζ2−ζ8−ζ13−ζ2−ζ7+ζ80−1+i31−i32ζ11+ζ14ζ2+ζ8ζ−ζ4−ζ14−ζ+ζ4−ζ11−ζ2−ζ7+ζ13ζ7−ζ8−ζ130−1−i31+i32ζ+ζ4ζ7+ζ13−ζ−ζ11+ζ14−ζ4+ζ11−ζ14ζ2−ζ8−ζ13−ζ2−ζ7+ζ802-1−1−52−1+52ζ4+ζ11ζ+ζ14ζ7+ζ8ζ2+ζ130
χ182-1−1−52−1+52ζ+ζ14ζ4+ζ11ζ2+ζ13ζ7+ζ802-1−1−52−1+52ζ+ζ14ζ4+ζ11ζ2+ζ13ζ7+ζ80−1+i31−i32ζ11+ζ14ζ2+ζ8−ζ+ζ4−ζ11ζ−ζ4−ζ14ζ7−ζ8−ζ13−ζ2−ζ7+ζ130−1−i31+i32ζ+ζ4ζ7+ζ13−ζ4+ζ11−ζ14−ζ−ζ11+ζ14−ζ2−ζ7+ζ8ζ2−ζ8−ζ130−1+i31−i32ζ11+ζ14ζ2+ζ8−ζ+ζ4−ζ11ζ−ζ4−ζ14ζ7−ζ8−ζ13−ζ2−ζ7+ζ130−1−i31+i32ζ+ζ4ζ7+ζ13−ζ4+ζ11−ζ14−ζ−ζ11+ζ14−ζ2−ζ7+ζ8ζ2−ζ8−ζ1302-1−1−52−1+52ζ+ζ14ζ4+ζ11ζ2+ζ13ζ7+ζ80
χ19111111111111111111−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111
χ2011111111-111111111-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i3211111111-1
χ2122−1+52−1−52−1+52−1+52−1−52−1−52022−1+52−1−52−1+52−1+52−1−52−1−520−1−i3−1−i3ζ7+ζ13ζ+ζ4ζ7+ζ13ζ7+ζ13ζ+ζ4ζ+ζ40−1+i3−1+i3ζ2+ζ8ζ11+ζ14ζ2+ζ8ζ2+ζ8ζ11+ζ14ζ11+ζ140−1−i3−1−i3ζ7+ζ13ζ+ζ4ζ7+ζ13ζ7+ζ13ζ+ζ4ζ+ζ40−1+i3−1+i3ζ2+ζ8ζ11+ζ14ζ2+ζ8ζ2+ζ8ζ11+ζ14ζ11+ζ14022−1+52−1−52−1+52−1+52−1−52−1−520
χ2222−1−52−1+52−1−52−1−52−1+52−1+52022−1−52−1+52−1−52−1−52−1+52−1+520−1−i3−1−i3ζ+ζ4ζ7+ζ13ζ+ζ4ζ+ζ4ζ7+ζ13ζ7+ζ130−1+i3−1+i3ζ11+ζ14ζ2+ζ8ζ11+ζ14ζ11+ζ14ζ2+ζ8ζ2+ζ80−1−i3−1−i3ζ+ζ4ζ7+ζ13ζ+ζ4ζ+ζ4ζ7+ζ13ζ7+ζ130−1+i3−1+i3ζ11+ζ14ζ2+ζ8ζ11+ζ14ζ11+ζ14ζ2+ζ8ζ2+ζ8022−1−52−1+52−1−52−1−52−1+52−1+520
χ232-122-1-1-1-102-122-1-1-1-10−1−i31+i32−1−i3−1−i31+i321+i321+i321+i320−1+i31−i32−1+i3−1+i31−i321−i321−i321−i320−1−i31+i32−1−i3−1−i31+i321+i321+i321+i320−1+i31−i32−1+i3−1+i31−i321−i321−i321−i3202-122-1-1-1-10
χ242-1−1+52−1−52ζ2+ζ13ζ7+ζ8ζ4+ζ11ζ+ζ1402-1−1+52−1−52ζ2+ζ13ζ7+ζ8ζ4+ζ11ζ+ζ140−1−i31+i32ζ7+ζ13ζ+ζ4−ζ2−ζ7+ζ8ζ2−ζ8−ζ13−ζ−ζ11+ζ14−ζ4+ζ11−ζ140−1+i31−i32ζ2+ζ8ζ11+ζ14ζ7−ζ8−ζ13−ζ2−ζ7+ζ13ζ−ζ4−ζ14−ζ+ζ4−ζ110−1−i31+i32ζ7+ζ13ζ+ζ4−ζ2−ζ7+ζ8ζ2−ζ8−ζ13−ζ−ζ11+ζ14−ζ4+ζ11−ζ140−1+i31−i32ζ2+ζ8ζ11+ζ14ζ7−ζ8−ζ13−ζ2−ζ7+ζ13ζ−ζ4−ζ14−ζ+ζ4−ζ1102-1−1+52−1−52ζ2+ζ13ζ7+ζ8ζ4+ζ11ζ+ζ140
χ252-1−1+52−1−52ζ7+ζ8ζ2+ζ13ζ+ζ14ζ4+ζ1102-1−1+52−1−52ζ7+ζ8ζ2+ζ13ζ+ζ14ζ4+ζ110−1−i31+i32ζ7+ζ13ζ+ζ4ζ2−ζ8−ζ13−ζ2−ζ7+ζ8−ζ4+ζ11−ζ14−ζ−ζ11+ζ140−1+i31−i32ζ2+ζ8ζ11+ζ14−ζ2−ζ7+ζ13ζ7−ζ8−ζ13−ζ+ζ4−ζ11ζ−ζ4−ζ140−1−i31+i32ζ7+ζ13ζ+ζ4ζ2−ζ8−ζ13−ζ2−ζ7+ζ8−ζ4+ζ11−ζ14−ζ−ζ11+ζ140−1+i31−i32ζ2+ζ8ζ11+ζ14−ζ2−ζ7+ζ13ζ7−ζ8−ζ13−ζ+ζ4−ζ11ζ−ζ4−ζ1402-1−1+52−1−52ζ7+ζ8ζ2+ζ13ζ+ζ14ζ4+ζ110
χ262-1−1−52−1+52ζ4+ζ11ζ+ζ14ζ7+ζ8ζ2+ζ1302-1−1−52−1+52ζ4+ζ11ζ+ζ14ζ7+ζ8ζ2+ζ130−1−i31+i32ζ+ζ4ζ7+ζ13−ζ−ζ11+ζ14−ζ4+ζ11−ζ14ζ2−ζ8−ζ13−ζ2−ζ7+ζ80−1+i31−i32ζ11+ζ14ζ2+ζ8ζ−ζ4−ζ14−ζ+ζ4−ζ11−ζ2−ζ7+ζ13ζ7−ζ8−ζ130−1−i31+i32ζ+ζ4ζ7+ζ13−ζ−ζ11+ζ14−ζ4+ζ11−ζ14ζ2−ζ8−ζ13−ζ2−ζ7+ζ80−1+i31−i32ζ11+ζ14ζ2+ζ8ζ−ζ4−ζ14−ζ+ζ4−ζ11−ζ2−ζ7+ζ13ζ7−ζ8−ζ1302-1−1−52−1+52ζ4+ζ11ζ+ζ14ζ7+ζ8ζ2+ζ130
χ272-1−1−52−1+52ζ+ζ14ζ4+ζ11ζ2+ζ13ζ7+ζ802-1−1−52−1+52ζ+ζ14ζ4+ζ11ζ2+ζ13ζ7+ζ80−1−i31+i32ζ+ζ4ζ7+ζ13−ζ4+ζ11−ζ14−ζ−ζ11+ζ14−ζ2−ζ7+ζ8ζ2−ζ8−ζ130−1+i31−i32ζ11+ζ14ζ2+ζ8−ζ+ζ4−ζ11ζ−ζ4−ζ14ζ7−ζ8−ζ13−ζ2−ζ7+ζ130−1−i31+i32ζ+ζ4ζ7+ζ13−ζ4+ζ11−ζ14−ζ−ζ11+ζ14−ζ2−ζ7+ζ8ζ2−ζ8−ζ130−1+i31−i32ζ11+ζ14ζ2+ζ8−ζ+ζ4−ζ11ζ−ζ4−ζ14ζ7−ζ8−ζ13−ζ2−ζ7+ζ1302-1−1−52−1+52ζ+ζ14ζ4+ζ11ζ2+ζ13ζ7+ζ80
χ28222222222-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111000000000
χ2922222222-2-2-2-2-2-2-2-2-22-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111-111111111-1000000000
χ3044−1+5−1−5−1+5−1+5−1−5−1−50-4-41−51+51−51−51+51+50-2-21−521+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+52−1−52−1−520000000000
χ3144−1−5−1+5−1−5−1−5−1+5−1+50-4-41+51−51+51+51−51−50-2-21+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+520000000000
χ324-244-2-2-2-20-42-4-422220-21-2-211110-21-2-2111102-122-1-1-1-102-122-1-1-1-10000000000
χ334-2−1+5−1−52ζ2+2ζ132ζ7+2ζ82ζ4+2ζ112ζ+2ζ140-421−51+5−2ζ2−2ζ13−2ζ7−2ζ8−2ζ4−2ζ11−2ζ−2ζ140-211−521+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+ζ140000000000
χ344-2−1+5−1−52ζ7+2ζ82ζ2+2ζ132ζ+2ζ142ζ4+2ζ110-421−51+5−2ζ7−2ζ8−2ζ2−2ζ13−2ζ−2ζ14−2ζ4−2ζ110-211−521+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+ζ110000000000
χ354-2−1−5−1+52ζ4+2ζ112ζ+2ζ142ζ7+2ζ82ζ2+2ζ130-421+51−5−2ζ4−2ζ11−2ζ−2ζ14−2ζ7−2ζ8−2ζ2−2ζ130-211+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+ζ130000000000
χ364-2−1−5−1+52ζ+2ζ142ζ4+2ζ112ζ2+2ζ132ζ7+2ζ80-421+51−5−2ζ−2ζ14−2ζ4−2ζ11−2ζ2−2ζ13−2ζ7−2ζ80-211+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+ζ80000000000
χ37222222222-2-2-2-2-2-2-2-2-21−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+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−i32000000000
χ3822222222-2-2-2-2-2-2-2-2-221−i321−i321−i321−i321−i321−i321−i321−i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32000000000
χ3944−1+5−1−5−1+5−1+5−1−5−1−50-4-41−51+51−51−51+51+501−i31−i3−ζ2−ζ8−ζ11−ζ14−ζ2−ζ8−ζ2−ζ8−ζ11−ζ14−ζ11−ζ1401+i31+i3−ζ7−ζ13−ζ−ζ4−ζ7−ζ13−ζ7−ζ13−ζ−ζ4−ζ−ζ40−1+i3−1+i3ζ2+ζ8ζ11+ζ14ζ2+ζ8ζ2+ζ8ζ11+ζ14ζ11+ζ140−1−i3−1−i3ζ7+ζ13ζ+ζ4ζ7+ζ13ζ7+ζ13ζ+ζ4ζ+ζ40000000000
χ4044−1−5−1+5−1−5−1−5−1+5−1+50-4-41+51−51+51+51−51−501−i31−i3−ζ11−ζ14−ζ2−ζ8−ζ11−ζ14−ζ11−ζ14−ζ2−ζ8−ζ2−ζ801+i31+i3−ζ−ζ4−ζ7−ζ13−ζ−ζ4−ζ−ζ4−ζ7−ζ13−ζ7−ζ130−1+i3−1+i3ζ11+ζ14ζ2+ζ8ζ11+ζ14ζ11+ζ14ζ2+ζ8ζ2+ζ80−1−i3−1−i3ζ+ζ4ζ7+ζ13ζ+ζ4ζ+ζ4ζ7+ζ13ζ7+ζ130000000000
χ414-244-2-2-2-20-42-4-4222201−i3−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i3201+i3−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i320−1+i31−i32−1+i3−1+i31−i321−i321−i321−i320−1−i31+i32−1−i3−1−i31+i321+i321+i321+i320000000000
χ424-2−1+5−1−52ζ2+2ζ132ζ7+2ζ82ζ4+2ζ112ζ+2ζ140-421−51+5−2ζ2−2ζ13−2ζ7−2ζ8−2ζ4−2ζ11−2ζ−2ζ1401−i3−1+i32−ζ2−ζ8−ζ11−ζ14−ζ7+ζ8+ζ13ζ2+ζ7−ζ13−ζ+ζ4+ζ14ζ−ζ4+ζ1101+i3−1−i32−ζ7−ζ13−ζ−ζ4ζ2+ζ7−ζ8−ζ2+ζ8+ζ13ζ+ζ11−ζ14ζ4−ζ11+ζ140−1+i31−i32ζ2+ζ8ζ11+ζ14ζ7−ζ8−ζ13−ζ2−ζ7+ζ13ζ−ζ4−ζ14−ζ+ζ4−ζ110−1−i31+i32ζ7+ζ13ζ+ζ4−ζ2−ζ7+ζ8ζ2−ζ8−ζ13−ζ−ζ11+ζ14−ζ4+ζ11−ζ140000000000
χ434-2−1+5−1−52ζ7+2ζ82ζ2+2ζ132ζ+2ζ142ζ4+2ζ110-421−51+5−2ζ7−2ζ8−2ζ2−2ζ13−2ζ−2ζ14−2ζ4−2ζ1101−i3−1+i32−ζ2−ζ8−ζ11−ζ14ζ2+ζ7−ζ13−ζ7+ζ8+ζ13ζ−ζ4+ζ11−ζ+ζ4+ζ1401+i3−1−i32−ζ7−ζ13−ζ−ζ4−ζ2+ζ8+ζ13ζ2+ζ7−ζ8ζ4−ζ11+ζ14ζ+ζ11−ζ140−1+i31−i32ζ2+ζ8ζ11+ζ14−ζ2−ζ7+ζ13ζ7−ζ8−ζ13−ζ+ζ4−ζ11ζ−ζ4−ζ140−1−i31+i32ζ7+ζ13ζ+ζ4ζ2−ζ8−ζ13−ζ2−ζ7+ζ8−ζ4+ζ11−ζ14−ζ−ζ11+ζ140000000000
χ444-2−1−5−1+52ζ4+2ζ112ζ+2ζ142ζ7+2ζ82ζ2+2ζ130-421+51−5−2ζ4−2ζ11−2ζ−2ζ14−2ζ7−2ζ8−2ζ2−2ζ1301−i3−1+i32−ζ11−ζ14−ζ2−ζ8−ζ+ζ4+ζ14ζ−ζ4+ζ11ζ2+ζ7−ζ13−ζ7+ζ8+ζ1301+i3−1−i32−ζ−ζ4−ζ7−ζ13ζ+ζ11−ζ14ζ4−ζ11+ζ14−ζ2+ζ8+ζ13ζ2+ζ7−ζ80−1+i31−i32ζ11+ζ14ζ2+ζ8ζ−ζ4−ζ14−ζ+ζ4−ζ11−ζ2−ζ7+ζ13ζ7−ζ8−ζ130−1−i31+i32ζ+ζ4ζ7+ζ13−ζ−ζ11+ζ14−ζ4+ζ11−ζ14ζ2−ζ8−ζ13−ζ2−ζ7+ζ80000000000
χ454-2−1−5−1+52ζ+2ζ142ζ4+2ζ112ζ2+2ζ132ζ7+2ζ80-421+51−5−2ζ−2ζ14−2ζ4−2ζ11−2ζ2−2ζ13−2ζ7−2ζ801−i3−1+i32−ζ11−ζ14−ζ2−ζ8ζ−ζ4+ζ11−ζ+ζ4+ζ14−ζ7+ζ8+ζ13ζ2+ζ7−ζ1301+i3−1−i32−ζ−ζ4−ζ7−ζ13ζ4−ζ11+ζ14ζ+ζ11−ζ14ζ2+ζ7−ζ8−ζ2+ζ8+ζ130−1+i31−i32ζ11+ζ14ζ2+ζ8−ζ+ζ4−ζ11ζ−ζ4−ζ14ζ7−ζ8−ζ13−ζ2−ζ7+ζ130−1−i31+i32ζ+ζ4ζ7+ζ13−ζ4+ζ11−ζ14−ζ−ζ11+ζ14−ζ2−ζ7+ζ8ζ2−ζ8−ζ130000000000
χ46222222222-2-2-2-2-2-2-2-2-21+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−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+i32000000000
χ4722222222-2-2-2-2-2-2-2-2-221+i321+i321+i321+i321+i321+i321+i321+i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32000000000
χ4844−1+5−1−5−1+5−1+5−1−5−1−50-4-41−51+51−51−51+51+501+i31+i3−ζ7−ζ13−ζ−ζ4−ζ7−ζ13−ζ7−ζ13−ζ−ζ4−ζ−ζ401−i31−i3−ζ2−ζ8−ζ11−ζ14−ζ2−ζ8−ζ2−ζ8−ζ11−ζ14−ζ11−ζ140−1−i3−1−i3ζ7+ζ13ζ+ζ4ζ7+ζ13ζ7+ζ13ζ+ζ4ζ+ζ40−1+i3−1+i3ζ2+ζ8ζ11+ζ14ζ2+ζ8ζ2+ζ8ζ11+ζ14ζ11+ζ140000000000
χ4944−1−5−1+5−1−5−1−5−1+5−1+50-4-41+51−51+51+51−51−501+i31+i3−ζ−ζ4−ζ7−ζ13−ζ−ζ4−ζ−ζ4−ζ7−ζ13−ζ7−ζ1301−i31−i3−ζ11−ζ14−ζ2−ζ8−ζ11−ζ14−ζ11−ζ14−ζ2−ζ8−ζ2−ζ80−1−i3−1−i3ζ+ζ4ζ7+ζ13ζ+ζ4ζ+ζ4ζ7+ζ13ζ7+ζ130−1+i3−1+i3ζ11+ζ14ζ2+ζ8ζ11+ζ14ζ11+ζ14ζ2+ζ8ζ2+ζ80000000000
χ504-244-2-2-2-20-42-4-4222201+i3−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i3201−i3−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i320−1−i31+i32−1−i3−1−i31+i321+i321+i321+i320−1+i31−i32−1+i3−1+i31−i321−i321−i321−i320000000000
χ514-2−1+5−1−52ζ2+2ζ132ζ7+2ζ82ζ4+2ζ112ζ+2ζ140-421−51+5−2ζ2−2ζ13−2ζ7−2ζ8−2ζ4−2ζ11−2ζ−2ζ1401+i3−1−i32−ζ7−ζ13−ζ−ζ4ζ2+ζ7−ζ8−ζ2+ζ8+ζ13ζ+ζ11−ζ14ζ4−ζ11+ζ1401−i3−1+i32−ζ2−ζ8−ζ11−ζ14−ζ7+ζ8+ζ13ζ2+ζ7−ζ13−ζ+ζ4+ζ14ζ−ζ4+ζ110−1−i31+i32ζ7+ζ13ζ+ζ4−ζ2−ζ7+ζ8ζ2−ζ8−ζ13−ζ−ζ11+ζ14−ζ4+ζ11−ζ140−1+i31−i32ζ2+ζ8ζ11+ζ14ζ7−ζ8−ζ13−ζ2−ζ7+ζ13ζ−ζ4−ζ14−ζ+ζ4−ζ110000000000
χ524-2−1+5−1−52ζ7+2ζ82ζ2+2ζ132ζ+2ζ142ζ4+2ζ110-421−51+5−2ζ7−2ζ8−2ζ2−2ζ13−2ζ−2ζ14−2ζ4−2ζ1101+i3−1−i32−ζ7−ζ13−ζ−ζ4−ζ2+ζ8+ζ13ζ2+ζ7−ζ8ζ4−ζ11+ζ14ζ+ζ11−ζ1401−i3−1+i32−ζ2−ζ8−ζ11−ζ14ζ2+ζ7−ζ13−ζ7+ζ8+ζ13ζ−ζ4+ζ11−ζ+ζ4+ζ140−1−i31+i32ζ7+ζ13ζ+ζ4ζ2−ζ8−ζ13−ζ2−ζ7+ζ8−ζ4+ζ11−ζ14−ζ−ζ11+ζ140−1+i31−i32ζ2+ζ8ζ11+ζ14−ζ2−ζ7+ζ13ζ7−ζ8−ζ13−ζ+ζ4−ζ11ζ−ζ4−ζ140000000000
χ534-2−1−5−1+52ζ4+2ζ112ζ+2ζ142ζ7+2ζ82ζ2+2ζ130-421+51−5−2ζ4−2ζ11−2ζ−2ζ14−2ζ7−2ζ8−2ζ2−2ζ1301+i3−1−i32−ζ−ζ4−ζ7−ζ13ζ+ζ11−ζ14ζ4−ζ11+ζ14−ζ2+ζ8+ζ13ζ2+ζ7−ζ801−i3−1+i32−ζ11−ζ14−ζ2−ζ8−ζ+ζ4+ζ14ζ−ζ4+ζ11ζ2+ζ7−ζ13−ζ7+ζ8+ζ130−1−i31+i32ζ+ζ4ζ7+ζ13−ζ−ζ11+ζ14−ζ4+ζ11−ζ14ζ2−ζ8−ζ13−ζ2−ζ7+ζ80−1+i31−i32ζ11+ζ14ζ2+ζ8ζ−ζ4−ζ14−ζ+ζ4−ζ11−ζ2−ζ7+ζ13ζ7−ζ8−ζ130000000000
χ544-2−1−5−1+52ζ+2ζ142ζ4+2ζ112ζ2+2ζ132ζ7+2ζ80-421+51−5−2ζ−2ζ14−2ζ4−2ζ11−2ζ2−2ζ13−2ζ7−2ζ801+i3−1−i32−ζ−ζ4−ζ7−ζ13ζ4−ζ11+ζ14ζ+ζ11−ζ14ζ2+ζ7−ζ8−ζ2+ζ8+ζ1301−i3−1+i32−ζ11−ζ14−ζ2−ζ8ζ−ζ4+ζ11−ζ+ζ4+ζ14−ζ7+ζ8+ζ13ζ2+ζ7−ζ130−1−i31+i32ζ+ζ4ζ7+ζ13−ζ4+ζ11−ζ14−ζ−ζ11+ζ14−ζ2−ζ7+ζ8ζ2−ζ8−ζ130−1+i31−i32ζ11+ζ14ζ2+ζ8−ζ+ζ4−ζ11ζ−ζ4−ζ14ζ7−ζ8−ζ13−ζ2−ζ7+ζ130000000000
χ55333333333333333333000000000000000000000000000000000000-1-1-1-1-1-1-1-1-1
χ5633333333-333333333-3000000000000000000000000000000000000-1-1-1-1-1-1-1-11
χ5766−3+352−3−352−3+352−3+352−3−352−3−352066−3+352−3−352−3+352−3+352−3−352−3−3520000000000000000000000000000000000000-2-21−521+521−521−521+521+520
χ5866−3−352−3+352−3−352−3−352−3+352−3+352066−3−352−3+352−3−352−3−352−3+352−3+3520000000000000000000000000000000000000-2-21+521−521+521+521−521−520
χ596-366-3-3-3-306-366-3-3-3-30000000000000000000000000000000000000-21-2-211110
χ606-3−3+352−3−3523ζ2+3ζ133ζ7+3ζ83ζ4+3ζ113ζ+3ζ1406-3−3+352−3−3523ζ2+3ζ133ζ7+3ζ83ζ4+3ζ113ζ+3ζ140000000000000000000000000000000000000-211−521+52−ζ2−ζ13−ζ7−ζ8−ζ4−ζ11−ζ−ζ140
χ616-3−3+352−3−3523ζ7+3ζ83ζ2+3ζ133ζ+3ζ143ζ4+3ζ1106-3−3+352−3−3523ζ7+3ζ83ζ2+3ζ133ζ+3ζ143ζ4+3ζ110000000000000000000000000000000000000-211−521+52−ζ7−ζ8−ζ2−ζ13−ζ−ζ14−ζ4−ζ110
χ626-3−3−352−3+3523ζ4+3ζ113ζ+3ζ143ζ7+3ζ83ζ2+3ζ1306-3−3−352−3+3523ζ4+3ζ113ζ+3ζ143ζ7+3ζ83ζ2+3ζ130000000000000000000000000000000000000-211+521−52−ζ4−ζ11−ζ−ζ14−ζ7−ζ8−ζ2−ζ130
χ636-3−3−352−3+3523ζ+3ζ143ζ4+3ζ113ζ2+3ζ133ζ7+3ζ806-3−3−352−3+3523ζ+3ζ143ζ4+3ζ113ζ2+3ζ133ζ7+3ζ80000000000000000000000000000000000000-211+521−52−ζ−ζ14−ζ4−ζ11−ζ2−ζ13−ζ7−ζ80

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