Finite Group Databasebeta

← Group #13164651

Character table — Group #13164651

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11666661616161622121212121232323232221212121212323232322212121212123232323222121212121232323232995454545454144144144144
order12222443366366661212336691818181836369918189181818183636991818918181818363699181822222446666
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111−1+i32−1−i32−1+i32−1−i321111111−1+i32−1−i32−1+i32−1−i321111111−1+i32−1−i32−1+i32−1−i321111111−1+i32−1−i32−1+i32−1−i321111111−1+i32−1−i32−1+i32−1−i321111111−1+i32−1−i32−1+i32−1−i32
χ31111111−1−i32−1+i32−1−i32−1+i321111111−1−i32−1+i32−1−i32−1+i321111111−1−i32−1+i32−1−i32−1+i321111111−1−i32−1+i32−1−i32−1+i321111111−1−i32−1+i32−1−i32−1+i321111111−1−i32−1+i32−1−i32−1+i32
χ4333-1-1-1-10000333-1-1-1-10000333-1-1-1-10000333-1-1-1-10000333-1-1-1-10000333-1-1-1-10000
χ533-13-1-1-1000033-13-1-1-1000033-13-1-1-1000033-13-1-1-1000033-13-1-1-1000033-13-1-1-10000
χ633-1-13-1-1000033-1-13-1-1000033-1-13-1-1000033-1-13-1-1000033-1-13-1-1000033-1-13-1-10000
χ733-1-1-13-1000033-1-1-13-1000033-1-1-13-1000033-1-1-13-1000033-1-1-13-1000033-1-1-13-10000
χ833-1-1-1-13000033-1-1-1-13000033-1-1-1-13000033-1-1-1-13000033-1-1-1-13000033-1-1-1-130000
χ94-40000011-1-14-40000011-1-14-40000011-1-14-40000011-1-14-40000011-1-14-40000011-1-1
χ104-400000−1+i32−1−i321−i321+i324-400000−1+i32−1−i321−i321+i324-400000−1+i32−1−i321−i321+i324-400000−1+i32−1−i321−i321+i324-400000−1+i32−1−i321−i321+i324-400000−1+i32−1−i321−i321+i32
χ114-400000−1−i32−1+i321+i321−i324-400000−1−i32−1+i321+i321−i324-400000−1−i32−1+i321+i321−i324-400000−1−i32−1+i321+i321−i324-400000−1−i32−1+i321+i321−i324-400000−1−i32−1+i321+i321−i32
χ121111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1
χ131111111−1+i32−1−i32−1+i32−1−i321111111−1+i32−1−i32−1+i32−1−i321111111−1+i32−1−i32−1+i32−1−i321111111−1+i32−1−i32−1+i32−1−i321111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-11−i321+i321−i321+i32
χ141111111−1−i32−1+i32−1−i32−1+i321111111−1−i32−1+i32−1−i32−1+i321111111−1−i32−1+i32−1−i32−1+i321111111−1−i32−1+i32−1−i32−1+i321111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-11+i321−i321+i321−i32
χ15333-1-1-1-10000333-1-1-1-10000333-1-1-1-10000333-1-1-1-10000333-1-1-1-10000-3-3-311110000
χ1633-13-1-1-1000033-13-1-1-1000033-13-1-1-1000033-13-1-1-1000033-13-1-1-10000-3-31-31110000
χ1733-1-13-1-1000033-1-13-1-1000033-1-13-1-1000033-1-13-1-1000033-1-13-1-10000-3-311-3110000
χ1833-1-1-13-1000033-1-1-13-1000033-1-1-13-1000033-1-1-13-1000033-1-1-13-10000-3-3111-310000
χ1933-1-1-1-13000033-1-1-1-13000033-1-1-1-13000033-1-1-1-13000033-1-1-1-130000-3-31111-30000
χ204-40000011-1-14-40000011-1-14-40000011-1-14-40000011-1-14-40000011-1-1-4400000-1-111
χ214-400000−1+i32−1−i321−i321+i324-400000−1+i32−1−i321−i321+i324-400000−1+i32−1−i321−i321+i324-400000−1+i32−1−i321−i321+i324-400000−1+i32−1−i321−i321+i32-44000001−i321+i32−1+i32−1−i32
χ224-400000−1−i32−1+i321+i321−i324-400000−1−i32−1+i321+i321−i324-400000−1−i32−1+i321+i321−i324-400000−1−i32−1+i321+i321−i324-400000−1−i32−1+i321+i321−i32-44000001+i321−i32−1−i32−1+i32
χ232222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000
χ242222222−1+i3−1−i3−1+i3−1−i32222222−1+i3−1−i3−1+i3−1−i3-1-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-1-11−i321+i321−i321+i3200000000000
χ252222222−1−i3−1+i3−1−i3−1+i32222222−1−i3−1+i3−1−i3−1+i3-1-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-1-1-1-11+i321−i321+i321−i3200000000000
χ26666-2-2-2-20000666-2-2-2-20000-3-3-311110000-3-3-311110000-3-3-31111000000000000000
χ2766-26-2-2-2000066-26-2-2-20000-3-31-31110000-3-31-31110000-3-31-3111000000000000000
χ2866-2-26-2-2000066-2-26-2-20000-3-311-3110000-3-311-3110000-3-311-311000000000000000
χ2966-2-2-26-2000066-2-2-26-20000-3-3111-310000-3-3111-310000-3-3111-31000000000000000
χ3066-2-2-2-26000066-2-2-2-260000-3-31111-30000-3-31111-30000-3-31111-3000000000000000
χ318-80000022-2-28-80000022-2-2-4400000-1-111-4400000-1-111-4400000-1-11100000000000
χ328-800000−1+i3−1−i31−i31+i38-800000−1+i3−1−i31−i31+i3-44000001−i321+i32−1+i32−1−i32-44000001−i321+i32−1+i32−1−i32-44000001−i321+i32−1+i32−1−i3200000000000
χ338-800000−1−i3−1+i31+i31−i38-800000−1−i3−1+i31+i31−i3-44000001+i321−i32−1−i32−1+i32-44000001+i321−i32−1−i32−1+i32-44000001+i321−i32−1−i32−1+i3200000000000
χ3422222222222-1-1-1-1-1-1-1-1-1-1-1ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ500000000000
χ352222222−1+i3−1−i3−1+i3−1−i3-1-1-1-1-1-1-11−i321+i321−i321+i32ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ4ζ5+ζ7ζ2+ζ4ζ5+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ+ζ5ζ4+ζ8ζ+ζ5ζ4+ζ8ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ7+ζ8ζ+ζ2ζ7+ζ8ζ+ζ200000000000
χ362222222−1−i3−1+i3−1−i3−1+i3-1-1-1-1-1-1-11+i321−i321+i321−i32ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ5+ζ7ζ2+ζ4ζ5+ζ7ζ2+ζ4ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ8ζ+ζ5ζ4+ζ8ζ+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ2ζ7+ζ8ζ+ζ2ζ7+ζ800000000000
χ37666-2-2-2-20000-3-3-3111100003ζ+3ζ83ζ+3ζ83ζ+3ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ800003ζ2+3ζ73ζ2+3ζ73ζ2+3ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ700003ζ4+3ζ53ζ4+3ζ53ζ4+3ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5000000000000000
χ3866-26-2-2-20000-3-31-311100003ζ+3ζ83ζ+3ζ8−ζ−ζ83ζ+3ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ800003ζ2+3ζ73ζ2+3ζ7−ζ2−ζ73ζ2+3ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ700003ζ4+3ζ53ζ4+3ζ5−ζ4−ζ53ζ4+3ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5000000000000000
χ3966-2-26-2-20000-3-311-31100003ζ+3ζ83ζ+3ζ8−ζ−ζ8−ζ−ζ83ζ+3ζ8−ζ−ζ8−ζ−ζ800003ζ2+3ζ73ζ2+3ζ7−ζ2−ζ7−ζ2−ζ73ζ2+3ζ7−ζ2−ζ7−ζ2−ζ700003ζ4+3ζ53ζ4+3ζ5−ζ4−ζ5−ζ4−ζ53ζ4+3ζ5−ζ4−ζ5−ζ4−ζ5000000000000000
χ4066-2-2-26-20000-3-3111-3100003ζ+3ζ83ζ+3ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ83ζ+3ζ8−ζ−ζ800003ζ2+3ζ73ζ2+3ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ73ζ2+3ζ7−ζ2−ζ700003ζ4+3ζ53ζ4+3ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ53ζ4+3ζ5−ζ4−ζ5000000000000000
χ4166-2-2-2-260000-3-31111-300003ζ+3ζ83ζ+3ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ83ζ+3ζ800003ζ2+3ζ73ζ2+3ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ73ζ2+3ζ700003ζ4+3ζ53ζ4+3ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ53ζ4+3ζ5000000000000000
χ428-80000022-2-2-4400000-1-1114ζ+4ζ8−4ζ−4ζ800000ζ+ζ8ζ+ζ8−ζ−ζ8−ζ−ζ84ζ2+4ζ7−4ζ2−4ζ700000ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ74ζ4+4ζ5−4ζ4−4ζ500000ζ4+ζ5ζ4+ζ5−ζ4−ζ5−ζ4−ζ500000000000
χ438-800000−1+i3−1−i31−i31+i3-44000001−i321+i32−1+i32−1−i324ζ+4ζ8−4ζ−4ζ800000ζ2+ζ4ζ5+ζ7−ζ2−ζ4−ζ5−ζ74ζ2+4ζ7−4ζ2−4ζ700000ζ+ζ5ζ4+ζ8−ζ−ζ5−ζ4−ζ84ζ4+4ζ5−4ζ4−4ζ500000ζ7+ζ8ζ+ζ2−ζ7−ζ8−ζ−ζ200000000000
χ448-800000−1−i3−1+i31+i31−i3-44000001+i321−i32−1−i32−1+i324ζ+4ζ8−4ζ−4ζ800000ζ5+ζ7ζ2+ζ4−ζ5−ζ7−ζ2−ζ44ζ2+4ζ7−4ζ2−4ζ700000ζ4+ζ8ζ+ζ5−ζ4−ζ8−ζ−ζ54ζ4+4ζ5−4ζ4−4ζ500000ζ+ζ2ζ7+ζ8−ζ−ζ2−ζ7−ζ800000000000
χ4522222222222-1-1-1-1-1-1-1-1-1-1-1ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ800000000000
χ462222222−1+i3−1−i3−1+i3−1−i3-1-1-1-1-1-1-11−i321+i321−i321+i32ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ+ζ5ζ4+ζ8ζ+ζ5ζ4+ζ8ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ7+ζ8ζ+ζ2ζ7+ζ8ζ+ζ2ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ4ζ5+ζ7ζ2+ζ4ζ5+ζ700000000000
χ472222222−1−i3−1+i3−1−i3−1+i3-1-1-1-1-1-1-11+i321−i321+i321−i32ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ8ζ+ζ5ζ4+ζ8ζ+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ2ζ7+ζ8ζ+ζ2ζ7+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ5+ζ7ζ2+ζ4ζ5+ζ7ζ2+ζ400000000000
χ48666-2-2-2-20000-3-3-3111100003ζ2+3ζ73ζ2+3ζ73ζ2+3ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ700003ζ4+3ζ53ζ4+3ζ53ζ4+3ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ500003ζ+3ζ83ζ+3ζ83ζ+3ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8000000000000000
χ4966-26-2-2-20000-3-31-311100003ζ2+3ζ73ζ2+3ζ7−ζ2−ζ73ζ2+3ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ700003ζ4+3ζ53ζ4+3ζ5−ζ4−ζ53ζ4+3ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ500003ζ+3ζ83ζ+3ζ8−ζ−ζ83ζ+3ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8000000000000000
χ5066-2-26-2-20000-3-311-31100003ζ2+3ζ73ζ2+3ζ7−ζ2−ζ7−ζ2−ζ73ζ2+3ζ7−ζ2−ζ7−ζ2−ζ700003ζ4+3ζ53ζ4+3ζ5−ζ4−ζ5−ζ4−ζ53ζ4+3ζ5−ζ4−ζ5−ζ4−ζ500003ζ+3ζ83ζ+3ζ8−ζ−ζ8−ζ−ζ83ζ+3ζ8−ζ−ζ8−ζ−ζ8000000000000000
χ5166-2-2-26-20000-3-3111-3100003ζ2+3ζ73ζ2+3ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ73ζ2+3ζ7−ζ2−ζ700003ζ4+3ζ53ζ4+3ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ53ζ4+3ζ5−ζ4−ζ500003ζ+3ζ83ζ+3ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ83ζ+3ζ8−ζ−ζ8000000000000000
χ5266-2-2-2-260000-3-31111-300003ζ2+3ζ73ζ2+3ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ73ζ2+3ζ700003ζ4+3ζ53ζ4+3ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ53ζ4+3ζ500003ζ+3ζ83ζ+3ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ83ζ+3ζ8000000000000000
χ538-80000022-2-2-4400000-1-1114ζ2+4ζ7−4ζ2−4ζ700000ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ74ζ4+4ζ5−4ζ4−4ζ500000ζ4+ζ5ζ4+ζ5−ζ4−ζ5−ζ4−ζ54ζ+4ζ8−4ζ−4ζ800000ζ+ζ8ζ+ζ8−ζ−ζ8−ζ−ζ800000000000
χ548-800000−1+i3−1−i31−i31+i3-44000001−i321+i32−1+i32−1−i324ζ2+4ζ7−4ζ2−4ζ700000ζ+ζ5ζ4+ζ8−ζ−ζ5−ζ4−ζ84ζ4+4ζ5−4ζ4−4ζ500000ζ7+ζ8ζ+ζ2−ζ7−ζ8−ζ−ζ24ζ+4ζ8−4ζ−4ζ800000ζ2+ζ4ζ5+ζ7−ζ2−ζ4−ζ5−ζ700000000000
χ558-800000−1−i3−1+i31+i31−i3-44000001+i321−i32−1−i32−1+i324ζ2+4ζ7−4ζ2−4ζ700000ζ4+ζ8ζ+ζ5−ζ4−ζ8−ζ−ζ54ζ4+4ζ5−4ζ4−4ζ500000ζ+ζ2ζ7+ζ8−ζ−ζ2−ζ7−ζ84ζ+4ζ8−4ζ−4ζ800000ζ5+ζ7ζ2+ζ4−ζ5−ζ7−ζ2−ζ400000000000
χ5622222222222-1-1-1-1-1-1-1-1-1-1-1ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ700000000000
χ572222222−1+i3−1−i3−1+i3−1−i3-1-1-1-1-1-1-11−i321+i321−i321+i32ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ7+ζ8ζ+ζ2ζ7+ζ8ζ+ζ2ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ4ζ5+ζ7ζ2+ζ4ζ5+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ+ζ5ζ4+ζ8ζ+ζ5ζ4+ζ800000000000
χ582222222−1−i3−1+i3−1−i3−1+i3-1-1-1-1-1-1-11+i321−i321+i321−i32ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ2ζ7+ζ8ζ+ζ2ζ7+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ5+ζ7ζ2+ζ4ζ5+ζ7ζ2+ζ4ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ8ζ+ζ5ζ4+ζ8ζ+ζ500000000000
χ59666-2-2-2-20000-3-3-3111100003ζ4+3ζ53ζ4+3ζ53ζ4+3ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ500003ζ+3ζ83ζ+3ζ83ζ+3ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ800003ζ2+3ζ73ζ2+3ζ73ζ2+3ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7000000000000000
χ6066-26-2-2-20000-3-31-311100003ζ4+3ζ53ζ4+3ζ5−ζ4−ζ53ζ4+3ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ500003ζ+3ζ83ζ+3ζ8−ζ−ζ83ζ+3ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ800003ζ2+3ζ73ζ2+3ζ7−ζ2−ζ73ζ2+3ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7000000000000000
χ6166-2-26-2-20000-3-311-31100003ζ4+3ζ53ζ4+3ζ5−ζ4−ζ5−ζ4−ζ53ζ4+3ζ5−ζ4−ζ5−ζ4−ζ500003ζ+3ζ83ζ+3ζ8−ζ−ζ8−ζ−ζ83ζ+3ζ8−ζ−ζ8−ζ−ζ800003ζ2+3ζ73ζ2+3ζ7−ζ2−ζ7−ζ2−ζ73ζ2+3ζ7−ζ2−ζ7−ζ2−ζ7000000000000000
χ6266-2-2-26-20000-3-3111-3100003ζ4+3ζ53ζ4+3ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ53ζ4+3ζ5−ζ4−ζ500003ζ+3ζ83ζ+3ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ83ζ+3ζ8−ζ−ζ800003ζ2+3ζ73ζ2+3ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ73ζ2+3ζ7−ζ2−ζ7000000000000000
χ6366-2-2-2-260000-3-31111-300003ζ4+3ζ53ζ4+3ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ53ζ4+3ζ500003ζ+3ζ83ζ+3ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ83ζ+3ζ800003ζ2+3ζ73ζ2+3ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ73ζ2+3ζ7000000000000000
χ648-80000022-2-2-4400000-1-1114ζ4+4ζ5−4ζ4−4ζ500000ζ4+ζ5ζ4+ζ5−ζ4−ζ5−ζ4−ζ54ζ+4ζ8−4ζ−4ζ800000ζ+ζ8ζ+ζ8−ζ−ζ8−ζ−ζ84ζ2+4ζ7−4ζ2−4ζ700000ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ700000000000
χ658-800000−1+i3−1−i31−i31+i3-44000001−i321+i32−1+i32−1−i324ζ4+4ζ5−4ζ4−4ζ500000ζ7+ζ8ζ+ζ2−ζ7−ζ8−ζ−ζ24ζ+4ζ8−4ζ−4ζ800000ζ2+ζ4ζ5+ζ7−ζ2−ζ4−ζ5−ζ74ζ2+4ζ7−4ζ2−4ζ700000ζ+ζ5ζ4+ζ8−ζ−ζ5−ζ4−ζ800000000000
χ668-800000−1−i3−1+i31+i31−i3-44000001+i321−i32−1−i32−1+i324ζ4+4ζ5−4ζ4−4ζ500000ζ+ζ2ζ7+ζ8−ζ−ζ2−ζ7−ζ84ζ+4ζ8−4ζ−4ζ800000ζ5+ζ7ζ2+ζ4−ζ5−ζ7−ζ2−ζ44ζ2+4ζ7−4ζ2−4ζ700000ζ4+ζ8ζ+ζ5−ζ4−ζ8−ζ−ζ500000000000

Here ζ is a primitive root of unity of order 9 (ζ9 = 1); i = ζ2.