Finite Group Databasebeta

← Group #14516613

Character table — Group #14516613

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size1113333333333399999999121212121212121212121212121212121212272727272727272710810810810811133333333333999999991212121212121212121212121212121212122727272727272727108108108108
order13323366999999661818181818189999999999999999999918181818181899992662666618181818181866181818181818181818181818181818181818181818181818181818181818181818181818
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321111111111111111111111111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ31111111111111111111111111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321111111111111111111111111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ41111111111111111111111−1+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−i3211111111−1+i32−1−i32−1+i32−1−i321111111111111111111111−1+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−i3211111111−1+i32−1−i32−1+i32−1−i32
χ51111111111111111111111−1+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−i3211−1+i321111111111111111111111−1+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−i3211−1+i32
χ61111111111111111111111−1+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+i321−1+i32−1−i3211111111111111111111111−1+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+i321−1+i32−1−i321
χ71111111111111111111111−1−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+i3211111111−1−i32−1+i32−1−i32−1+i321111111111111111111111−1−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+i3211111111−1−i32−1+i32−1−i32−1+i32
χ81111111111111111111111−1−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−i321−1−i32−1+i3211111111111111111111111−1−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−i321−1−i32−1+i321
χ91111111111111111111111−1−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+i3211−1−i321111111111111111111111−1−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+i3211−1−i32
χ1033333333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i3233−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i3200000000000000000000000000000033333333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i3233−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32000000000000000000000000000000
χ1133333333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i3233−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i3200000000000000000000000000000033333333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i3233−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32000000000000000000000000000000
χ123333−3+3i32−3−3i3233000000−3+3i32−3−3i32000000ζ+2ζ4ζ+2ζ4ζ+2ζ4ζ−ζ4ζ−ζ4ζ−ζ4−2ζ−ζ4−2ζ−ζ4−2ζ−ζ42ζ2+ζ52ζ2+ζ52ζ2+ζ5−ζ2+ζ5−ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5−ζ2−2ζ5−ζ2−2ζ50000000000003333−3+3i32−3−3i3233000000−3+3i32−3−3i32000000ζ+2ζ4ζ+2ζ4ζ+2ζ4ζ−ζ4ζ−ζ4ζ−ζ4−2ζ−ζ4−2ζ−ζ4−2ζ−ζ42ζ2+ζ52ζ2+ζ52ζ2+ζ5−ζ2+ζ5−ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5−ζ2−2ζ5−ζ2−2ζ5000000000000
χ133333−3+3i32−3−3i3233000000−3+3i32−3−3i32000000ζ−ζ4ζ−ζ4ζ−ζ4−2ζ−ζ4−2ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ+2ζ4ζ+2ζ4−ζ2+ζ5−ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5−ζ2−2ζ5−ζ2−2ζ52ζ2+ζ52ζ2+ζ52ζ2+ζ50000000000003333−3+3i32−3−3i3233000000−3+3i32−3−3i32000000ζ−ζ4ζ−ζ4ζ−ζ4−2ζ−ζ4−2ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ+2ζ4ζ+2ζ4−ζ2+ζ5−ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5−ζ2−2ζ5−ζ2−2ζ52ζ2+ζ52ζ2+ζ52ζ2+ζ5000000000000
χ143333−3+3i32−3−3i3233000000−3+3i32−3−3i32000000−2ζ−ζ4−2ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ+2ζ4ζ+2ζ4ζ−ζ4ζ−ζ4ζ−ζ4−ζ2−2ζ5−ζ2−2ζ5−ζ2−2ζ52ζ2+ζ52ζ2+ζ52ζ2+ζ5−ζ2+ζ5−ζ2+ζ5−ζ2+ζ50000000000003333−3+3i32−3−3i3233000000−3+3i32−3−3i32000000−2ζ−ζ4−2ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ+2ζ4ζ+2ζ4ζ−ζ4ζ−ζ4ζ−ζ4−ζ2−2ζ5−ζ2−2ζ5−ζ2−2ζ52ζ2+ζ52ζ2+ζ52ζ2+ζ5−ζ2+ζ5−ζ2+ζ5−ζ2+ζ5000000000000
χ153333−3−3i32−3+3i3233000000−3−3i32−3+3i320000002ζ2+ζ52ζ2+ζ52ζ2+ζ5−ζ2+ζ5−ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5−ζ2−2ζ5−ζ2−2ζ5ζ−ζ4ζ−ζ4ζ−ζ4−2ζ−ζ4−2ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ+2ζ4ζ+2ζ40000000000003333−3−3i32−3+3i3233000000−3−3i32−3+3i320000002ζ2+ζ52ζ2+ζ52ζ2+ζ5−ζ2+ζ5−ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5−ζ2−2ζ5−ζ2−2ζ5ζ−ζ4ζ−ζ4ζ−ζ4−2ζ−ζ4−2ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ+2ζ4ζ+2ζ4000000000000
χ163333−3−3i32−3+3i3233000000−3−3i32−3+3i32000000−ζ2+ζ5−ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5−ζ2−2ζ5−ζ2−2ζ52ζ2+ζ52ζ2+ζ52ζ2+ζ5−2ζ−ζ4−2ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ+2ζ4ζ+2ζ4ζ−ζ4ζ−ζ4ζ−ζ40000000000003333−3−3i32−3+3i3233000000−3−3i32−3+3i32000000−ζ2+ζ5−ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5−ζ2−2ζ5−ζ2−2ζ52ζ2+ζ52ζ2+ζ52ζ2+ζ5−2ζ−ζ4−2ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ+2ζ4ζ+2ζ4ζ−ζ4ζ−ζ4ζ−ζ4000000000000
χ173333−3−3i32−3+3i3233000000−3−3i32−3+3i32000000−ζ2−2ζ5−ζ2−2ζ5−ζ2−2ζ52ζ2+ζ52ζ2+ζ52ζ2+ζ5−ζ2+ζ5−ζ2+ζ5−ζ2+ζ5ζ+2ζ4ζ+2ζ4ζ+2ζ4ζ−ζ4ζ−ζ4ζ−ζ4−2ζ−ζ4−2ζ−ζ4−2ζ−ζ40000000000003333−3−3i32−3+3i3233000000−3−3i32−3+3i32000000−ζ2−2ζ5−ζ2−2ζ5−ζ2−2ζ52ζ2+ζ52ζ2+ζ52ζ2+ζ5−ζ2+ζ5−ζ2+ζ5−ζ2+ζ5ζ+2ζ4ζ+2ζ4ζ+2ζ4ζ−ζ4ζ−ζ4ζ−ζ4−2ζ−ζ4−2ζ−ζ4−2ζ−ζ4000000000000
χ18333-133-1-1333333-1-1-1-1-1-1-1-100000000000000000033-1-1-1-1-1-10000333-133-1-1333333-1-1-1-1-1-1-1-100000000000000000033-1-1-1-1-1-10000
χ19333-133-1-1333333-1-1-1-1-1-1-1-1000000000000000000−3+3i32−3−3i321−i321−i321−i321+i321+i321+i320000333-133-1-1333333-1-1-1-1-1-1-1-1000000000000000000−3+3i32−3−3i321−i321−i321−i321+i321+i321+i320000
χ20333-133-1-1333333-1-1-1-1-1-1-1-1000000000000000000−3−3i32−3+3i321+i321+i321+i321−i321−i321−i320000333-133-1-1333333-1-1-1-1-1-1-1-1000000000000000000−3−3i32−3+3i321+i321+i321+i321−i321−i321−i320000
χ21333-133-1-1−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-1-11−i321−i321−i321+i321+i321+i32000000000000000000002−1+i3−1−i32−1+i3−1−i30000333-133-1-1−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-1-11−i321−i321−i321+i321+i321+i32000000000000000000002−1+i3−1−i32−1+i3−1−i30000
χ22333-133-1-1−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-1-11−i321−i321−i321+i321+i321+i3200000000000000000000−1+i3−1−i32−1−i32−1+i30000333-133-1-1−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-1-11−i321−i321−i321+i321+i321+i3200000000000000000000−1+i3−1−i32−1−i32−1+i30000
χ23333-133-1-1−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-1-11−i321−i321−i321+i321+i321+i3200000000000000000000−1−i32−1+i3−1+i3−1−i320000333-133-1-1−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-1-11−i321−i321−i321+i321+i321+i3200000000000000000000−1−i32−1+i3−1+i3−1−i320000
χ24333-133-1-1−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-1-11+i321+i321+i321−i321−i321−i32000000000000000000002−1−i3−1+i32−1−i3−1+i30000333-133-1-1−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-1-11+i321+i321+i321−i321−i321−i32000000000000000000002−1−i3−1+i32−1−i3−1+i30000
χ25333-133-1-1−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-1-11+i321+i321+i321−i321−i321−i3200000000000000000000−1+i32−1−i3−1−i3−1+i320000333-133-1-1−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-1-11+i321+i321+i321−i321−i321−i3200000000000000000000−1+i32−1−i3−1−i3−1+i320000
χ26333-133-1-1−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-1-11+i321+i321+i321−i321−i321−i3200000000000000000000−1−i3−1+i32−1+i32−1−i30000333-133-1-1−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-1-11+i321+i321+i321−i321−i321−i3200000000000000000000−1−i3−1+i32−1+i32−1−i30000
χ273−3+3i32−3−3i32300−3+3i32−3−3i32ζ+2ζ4ζ−ζ4−2ζ−ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ500ζ+2ζ4ζ−ζ4−2ζ−ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ51+ζ+ζ8ζ2+ζ3+ζ4ζ5+ζ6+ζ71+ζ2+ζ7ζ+ζ3+ζ5ζ4+ζ6+ζ81+ζ4+ζ5ζ+ζ2+ζ6ζ3+ζ7+ζ81+ζ4+ζ5ζ+ζ2+ζ6ζ3+ζ7+ζ81+ζ+ζ8ζ2+ζ3+ζ4ζ5+ζ6+ζ71+ζ2+ζ7ζ+ζ3+ζ5ζ4+ζ6+ζ80000000000003−3+3i32−3−3i32300−3+3i32−3−3i32ζ+2ζ4ζ−ζ4−2ζ−ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ500ζ+2ζ4ζ−ζ4−2ζ−ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ51+ζ+ζ8ζ2+ζ3+ζ4ζ5+ζ6+ζ71+ζ2+ζ7ζ+ζ3+ζ5ζ4+ζ6+ζ81+ζ4+ζ5ζ+ζ2+ζ6ζ3+ζ7+ζ81+ζ4+ζ5ζ+ζ2+ζ6ζ3+ζ7+ζ81+ζ+ζ8ζ2+ζ3+ζ4ζ5+ζ6+ζ71+ζ2+ζ7ζ+ζ3+ζ5ζ4+ζ6+ζ8000000000000
χ283−3+3i32−3−3i32300−3+3i32−3−3i32ζ+2ζ4ζ−ζ4−2ζ−ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ500ζ+2ζ4ζ−ζ4−2ζ−ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5ζ2+ζ3+ζ4ζ5+ζ6+ζ71+ζ+ζ8ζ+ζ3+ζ5ζ4+ζ6+ζ81+ζ2+ζ7ζ3+ζ7+ζ81+ζ4+ζ5ζ+ζ2+ζ6ζ+ζ2+ζ6ζ3+ζ7+ζ81+ζ4+ζ5ζ5+ζ6+ζ71+ζ+ζ8ζ2+ζ3+ζ4ζ4+ζ6+ζ81+ζ2+ζ7ζ+ζ3+ζ50000000000003−3+3i32−3−3i32300−3+3i32−3−3i32ζ+2ζ4ζ−ζ4−2ζ−ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ500ζ+2ζ4ζ−ζ4−2ζ−ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5ζ2+ζ3+ζ4ζ5+ζ6+ζ71+ζ+ζ8ζ+ζ3+ζ5ζ4+ζ6+ζ81+ζ2+ζ7ζ3+ζ7+ζ81+ζ4+ζ5ζ+ζ2+ζ6ζ+ζ2+ζ6ζ3+ζ7+ζ81+ζ4+ζ5ζ5+ζ6+ζ71+ζ+ζ8ζ2+ζ3+ζ4ζ4+ζ6+ζ81+ζ2+ζ7ζ+ζ3+ζ5000000000000
χ293−3+3i32−3−3i32300−3+3i32−3−3i32ζ+2ζ4ζ−ζ4−2ζ−ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ500ζ+2ζ4ζ−ζ4−2ζ−ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5ζ5+ζ6+ζ71+ζ+ζ8ζ2+ζ3+ζ4ζ4+ζ6+ζ81+ζ2+ζ7ζ+ζ3+ζ5ζ+ζ2+ζ6ζ3+ζ7+ζ81+ζ4+ζ5ζ3+ζ7+ζ81+ζ4+ζ5ζ+ζ2+ζ6ζ2+ζ3+ζ4ζ5+ζ6+ζ71+ζ+ζ8ζ+ζ3+ζ5ζ4+ζ6+ζ81+ζ2+ζ70000000000003−3+3i32−3−3i32300−3+3i32−3−3i32ζ+2ζ4ζ−ζ4−2ζ−ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ500ζ+2ζ4ζ−ζ4−2ζ−ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5ζ5+ζ6+ζ71+ζ+ζ8ζ2+ζ3+ζ4ζ4+ζ6+ζ81+ζ2+ζ7ζ+ζ3+ζ5ζ+ζ2+ζ6ζ3+ζ7+ζ81+ζ4+ζ5ζ3+ζ7+ζ81+ζ4+ζ5ζ+ζ2+ζ6ζ2+ζ3+ζ4ζ5+ζ6+ζ71+ζ+ζ8ζ+ζ3+ζ5ζ4+ζ6+ζ81+ζ2+ζ7000000000000
χ303−3+3i32−3−3i32300−3+3i32−3−3i32ζ−ζ4−2ζ−ζ4ζ+2ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ500ζ−ζ4−2ζ−ζ4ζ+2ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ51+ζ2+ζ7ζ+ζ3+ζ5ζ4+ζ6+ζ81+ζ4+ζ5ζ3+ζ7+ζ8ζ+ζ2+ζ61+ζ+ζ8ζ5+ζ6+ζ7ζ2+ζ3+ζ41+ζ+ζ8ζ5+ζ6+ζ7ζ2+ζ3+ζ41+ζ2+ζ7ζ+ζ3+ζ5ζ4+ζ6+ζ81+ζ4+ζ5ζ3+ζ7+ζ8ζ+ζ2+ζ60000000000003−3+3i32−3−3i32300−3+3i32−3−3i32ζ−ζ4−2ζ−ζ4ζ+2ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ500ζ−ζ4−2ζ−ζ4ζ+2ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ51+ζ2+ζ7ζ+ζ3+ζ5ζ4+ζ6+ζ81+ζ4+ζ5ζ3+ζ7+ζ8ζ+ζ2+ζ61+ζ+ζ8ζ5+ζ6+ζ7ζ2+ζ3+ζ41+ζ+ζ8ζ5+ζ6+ζ7ζ2+ζ3+ζ41+ζ2+ζ7ζ+ζ3+ζ5ζ4+ζ6+ζ81+ζ4+ζ5ζ3+ζ7+ζ8ζ+ζ2+ζ6000000000000
χ313−3+3i32−3−3i32300−3+3i32−3−3i32ζ−ζ4−2ζ−ζ4ζ+2ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ500ζ−ζ4−2ζ−ζ4ζ+2ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5ζ+ζ3+ζ5ζ4+ζ6+ζ81+ζ2+ζ7ζ3+ζ7+ζ8ζ+ζ2+ζ61+ζ4+ζ5ζ2+ζ3+ζ41+ζ+ζ8ζ5+ζ6+ζ7ζ5+ζ6+ζ7ζ2+ζ3+ζ41+ζ+ζ8ζ4+ζ6+ζ81+ζ2+ζ7ζ+ζ3+ζ5ζ+ζ2+ζ61+ζ4+ζ5ζ3+ζ7+ζ80000000000003−3+3i32−3−3i32300−3+3i32−3−3i32ζ−ζ4−2ζ−ζ4ζ+2ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ500ζ−ζ4−2ζ−ζ4ζ+2ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5ζ+ζ3+ζ5ζ4+ζ6+ζ81+ζ2+ζ7ζ3+ζ7+ζ8ζ+ζ2+ζ61+ζ4+ζ5ζ2+ζ3+ζ41+ζ+ζ8ζ5+ζ6+ζ7ζ5+ζ6+ζ7ζ2+ζ3+ζ41+ζ+ζ8ζ4+ζ6+ζ81+ζ2+ζ7ζ+ζ3+ζ5ζ+ζ2+ζ61+ζ4+ζ5ζ3+ζ7+ζ8000000000000
χ323−3+3i32−3−3i32300−3+3i32−3−3i32ζ−ζ4−2ζ−ζ4ζ+2ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ500ζ−ζ4−2ζ−ζ4ζ+2ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5ζ4+ζ6+ζ81+ζ2+ζ7ζ+ζ3+ζ5ζ+ζ2+ζ61+ζ4+ζ5ζ3+ζ7+ζ8ζ5+ζ6+ζ7ζ2+ζ3+ζ41+ζ+ζ8ζ2+ζ3+ζ41+ζ+ζ8ζ5+ζ6+ζ7ζ+ζ3+ζ5ζ4+ζ6+ζ81+ζ2+ζ7ζ3+ζ7+ζ8ζ+ζ2+ζ61+ζ4+ζ50000000000003−3+3i32−3−3i32300−3+3i32−3−3i32ζ−ζ4−2ζ−ζ4ζ+2ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ500ζ−ζ4−2ζ−ζ4ζ+2ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5ζ4+ζ6+ζ81+ζ2+ζ7ζ+ζ3+ζ5ζ+ζ2+ζ61+ζ4+ζ5ζ3+ζ7+ζ8ζ5+ζ6+ζ7ζ2+ζ3+ζ41+ζ+ζ8ζ2+ζ3+ζ41+ζ+ζ8ζ5+ζ6+ζ7ζ+ζ3+ζ5ζ4+ζ6+ζ81+ζ2+ζ7ζ3+ζ7+ζ8ζ+ζ2+ζ61+ζ4+ζ5000000000000
χ333−3+3i32−3−3i32300−3+3i32−3−3i32−2ζ−ζ4ζ+2ζ4ζ−ζ4−ζ2−2ζ52ζ2+ζ5−ζ2+ζ500−2ζ−ζ4ζ+2ζ4ζ−ζ4−ζ2−2ζ52ζ2+ζ5−ζ2+ζ51+ζ4+ζ5ζ3+ζ7+ζ8ζ+ζ2+ζ61+ζ+ζ8ζ2+ζ3+ζ4ζ5+ζ6+ζ71+ζ2+ζ7ζ4+ζ6+ζ8ζ+ζ3+ζ51+ζ2+ζ7ζ4+ζ6+ζ8ζ+ζ3+ζ51+ζ4+ζ5ζ3+ζ7+ζ8ζ+ζ2+ζ61+ζ+ζ8ζ2+ζ3+ζ4ζ5+ζ6+ζ70000000000003−3+3i32−3−3i32300−3+3i32−3−3i32−2ζ−ζ4ζ+2ζ4ζ−ζ4−ζ2−2ζ52ζ2+ζ5−ζ2+ζ500−2ζ−ζ4ζ+2ζ4ζ−ζ4−ζ2−2ζ52ζ2+ζ5−ζ2+ζ51+ζ4+ζ5ζ3+ζ7+ζ8ζ+ζ2+ζ61+ζ+ζ8ζ2+ζ3+ζ4ζ5+ζ6+ζ71+ζ2+ζ7ζ4+ζ6+ζ8ζ+ζ3+ζ51+ζ2+ζ7ζ4+ζ6+ζ8ζ+ζ3+ζ51+ζ4+ζ5ζ3+ζ7+ζ8ζ+ζ2+ζ61+ζ+ζ8ζ2+ζ3+ζ4ζ5+ζ6+ζ7000000000000
χ343−3+3i32−3−3i32300−3+3i32−3−3i32−2ζ−ζ4ζ+2ζ4ζ−ζ4−ζ2−2ζ52ζ2+ζ5−ζ2+ζ500−2ζ−ζ4ζ+2ζ4ζ−ζ4−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5ζ+ζ2+ζ61+ζ4+ζ5ζ3+ζ7+ζ8ζ5+ζ6+ζ71+ζ+ζ8ζ2+ζ3+ζ4ζ4+ζ6+ζ8ζ+ζ3+ζ51+ζ2+ζ7ζ+ζ3+ζ51+ζ2+ζ7ζ4+ζ6+ζ8ζ3+ζ7+ζ8ζ+ζ2+ζ61+ζ4+ζ5ζ2+ζ3+ζ4ζ5+ζ6+ζ71+ζ+ζ80000000000003−3+3i32−3−3i32300−3+3i32−3−3i32−2ζ−ζ4ζ+2ζ4ζ−ζ4−ζ2−2ζ52ζ2+ζ5−ζ2+ζ500−2ζ−ζ4ζ+2ζ4ζ−ζ4−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5ζ+ζ2+ζ61+ζ4+ζ5ζ3+ζ7+ζ8ζ5+ζ6+ζ71+ζ+ζ8ζ2+ζ3+ζ4ζ4+ζ6+ζ8ζ+ζ3+ζ51+ζ2+ζ7ζ+ζ3+ζ51+ζ2+ζ7ζ4+ζ6+ζ8ζ3+ζ7+ζ8ζ+ζ2+ζ61+ζ4+ζ5ζ2+ζ3+ζ4ζ5+ζ6+ζ71+ζ+ζ8000000000000
χ353−3+3i32−3−3i32300−3+3i32−3−3i32−2ζ−ζ4ζ+2ζ4ζ−ζ4−ζ2−2ζ52ζ2+ζ5−ζ2+ζ500−2ζ−ζ4ζ+2ζ4ζ−ζ4−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5ζ3+ζ7+ζ8ζ+ζ2+ζ61+ζ4+ζ5ζ2+ζ3+ζ4ζ5+ζ6+ζ71+ζ+ζ8ζ+ζ3+ζ51+ζ2+ζ7ζ4+ζ6+ζ8ζ4+ζ6+ζ8ζ+ζ3+ζ51+ζ2+ζ7ζ+ζ2+ζ61+ζ4+ζ5ζ3+ζ7+ζ8ζ5+ζ6+ζ71+ζ+ζ8ζ2+ζ3+ζ40000000000003−3+3i32−3−3i32300−3+3i32−3−3i32−2ζ−ζ4ζ+2ζ4ζ−ζ4−ζ2−2ζ52ζ2+ζ5−ζ2+ζ500−2ζ−ζ4ζ+2ζ4ζ−ζ4−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5ζ3+ζ7+ζ8ζ+ζ2+ζ61+ζ4+ζ5ζ2+ζ3+ζ4ζ5+ζ6+ζ71+ζ+ζ8ζ+ζ3+ζ51+ζ2+ζ7ζ4+ζ6+ζ8ζ4+ζ6+ζ8ζ+ζ3+ζ51+ζ2+ζ7ζ+ζ2+ζ61+ζ4+ζ5ζ3+ζ7+ζ8ζ5+ζ6+ζ71+ζ+ζ8ζ2+ζ3+ζ4000000000000
χ363−3−3i32−3+3i32300−3−3i32−3+3i322ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5ζ−ζ4−2ζ−ζ4ζ+2ζ4002ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5ζ−ζ4−2ζ−ζ4ζ+2ζ41+ζ4+ζ5ζ+ζ2+ζ6ζ3+ζ7+ζ81+ζ+ζ8ζ5+ζ6+ζ7ζ2+ζ3+ζ41+ζ2+ζ7ζ+ζ3+ζ5ζ4+ζ6+ζ81+ζ2+ζ7ζ+ζ3+ζ5ζ4+ζ6+ζ81+ζ4+ζ5ζ+ζ2+ζ6ζ3+ζ7+ζ81+ζ+ζ8ζ5+ζ6+ζ7ζ2+ζ3+ζ40000000000003−3−3i32−3+3i32300−3−3i32−3+3i322ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5ζ−ζ4−2ζ−ζ4ζ+2ζ4002ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5ζ−ζ4−2ζ−ζ4ζ+2ζ41+ζ4+ζ5ζ+ζ2+ζ6ζ3+ζ7+ζ81+ζ+ζ8ζ5+ζ6+ζ7ζ2+ζ3+ζ41+ζ2+ζ7ζ+ζ3+ζ5ζ4+ζ6+ζ81+ζ2+ζ7ζ+ζ3+ζ5ζ4+ζ6+ζ81+ζ4+ζ5ζ+ζ2+ζ6ζ3+ζ7+ζ81+ζ+ζ8ζ5+ζ6+ζ7ζ2+ζ3+ζ4000000000000
χ373−3−3i32−3+3i32300−3−3i32−3+3i322ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5ζ−ζ4−2ζ−ζ4ζ+2ζ4002ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ+ζ2+ζ6ζ3+ζ7+ζ81+ζ4+ζ5ζ5+ζ6+ζ7ζ2+ζ3+ζ41+ζ+ζ8ζ4+ζ6+ζ81+ζ2+ζ7ζ+ζ3+ζ5ζ+ζ3+ζ5ζ4+ζ6+ζ81+ζ2+ζ7ζ3+ζ7+ζ81+ζ4+ζ5ζ+ζ2+ζ6ζ2+ζ3+ζ41+ζ+ζ8ζ5+ζ6+ζ70000000000003−3−3i32−3+3i32300−3−3i32−3+3i322ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5ζ−ζ4−2ζ−ζ4ζ+2ζ4002ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ+ζ2+ζ6ζ3+ζ7+ζ81+ζ4+ζ5ζ5+ζ6+ζ7ζ2+ζ3+ζ41+ζ+ζ8ζ4+ζ6+ζ81+ζ2+ζ7ζ+ζ3+ζ5ζ+ζ3+ζ5ζ4+ζ6+ζ81+ζ2+ζ7ζ3+ζ7+ζ81+ζ4+ζ5ζ+ζ2+ζ6ζ2+ζ3+ζ41+ζ+ζ8ζ5+ζ6+ζ7000000000000
χ383−3−3i32−3+3i32300−3−3i32−3+3i322ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5ζ−ζ4−2ζ−ζ4ζ+2ζ4002ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ3+ζ7+ζ81+ζ4+ζ5ζ+ζ2+ζ6ζ2+ζ3+ζ41+ζ+ζ8ζ5+ζ6+ζ7ζ+ζ3+ζ5ζ4+ζ6+ζ81+ζ2+ζ7ζ4+ζ6+ζ81+ζ2+ζ7ζ+ζ3+ζ5ζ+ζ2+ζ6ζ3+ζ7+ζ81+ζ4+ζ5ζ5+ζ6+ζ7ζ2+ζ3+ζ41+ζ+ζ80000000000003−3−3i32−3+3i32300−3−3i32−3+3i322ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5ζ−ζ4−2ζ−ζ4ζ+2ζ4002ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ3+ζ7+ζ81+ζ4+ζ5ζ+ζ2+ζ6ζ2+ζ3+ζ41+ζ+ζ8ζ5+ζ6+ζ7ζ+ζ3+ζ5ζ4+ζ6+ζ81+ζ2+ζ7ζ4+ζ6+ζ81+ζ2+ζ7ζ+ζ3+ζ5ζ+ζ2+ζ6ζ3+ζ7+ζ81+ζ4+ζ5ζ5+ζ6+ζ7ζ2+ζ3+ζ41+ζ+ζ8000000000000
χ393−3−3i32−3+3i32300−3−3i32−3+3i32−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−2ζ−ζ4ζ+2ζ4ζ−ζ400−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−2ζ−ζ4ζ+2ζ4ζ−ζ41+ζ+ζ8ζ5+ζ6+ζ7ζ2+ζ3+ζ41+ζ2+ζ7ζ4+ζ6+ζ8ζ+ζ3+ζ51+ζ4+ζ5ζ3+ζ7+ζ8ζ+ζ2+ζ61+ζ4+ζ5ζ3+ζ7+ζ8ζ+ζ2+ζ61+ζ+ζ8ζ5+ζ6+ζ7ζ2+ζ3+ζ41+ζ2+ζ7ζ4+ζ6+ζ8ζ+ζ3+ζ50000000000003−3−3i32−3+3i32300−3−3i32−3+3i32−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−2ζ−ζ4ζ+2ζ4ζ−ζ400−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−2ζ−ζ4ζ+2ζ4ζ−ζ41+ζ+ζ8ζ5+ζ6+ζ7ζ2+ζ3+ζ41+ζ2+ζ7ζ4+ζ6+ζ8ζ+ζ3+ζ51+ζ4+ζ5ζ3+ζ7+ζ8ζ+ζ2+ζ61+ζ4+ζ5ζ3+ζ7+ζ8ζ+ζ2+ζ61+ζ+ζ8ζ5+ζ6+ζ7ζ2+ζ3+ζ41+ζ2+ζ7ζ4+ζ6+ζ8ζ+ζ3+ζ5000000000000
χ403−3−3i32−3+3i32300−3−3i32−3+3i32−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−2ζ−ζ4ζ+2ζ4ζ−ζ400−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−2ζ−ζ4ζ+2ζ4ζ−ζ4ζ2+ζ3+ζ41+ζ+ζ8ζ5+ζ6+ζ7ζ+ζ3+ζ51+ζ2+ζ7ζ4+ζ6+ζ8ζ3+ζ7+ζ8ζ+ζ2+ζ61+ζ4+ζ5ζ+ζ2+ζ61+ζ4+ζ5ζ3+ζ7+ζ8ζ5+ζ6+ζ7ζ2+ζ3+ζ41+ζ+ζ8ζ4+ζ6+ζ8ζ+ζ3+ζ51+ζ2+ζ70000000000003−3−3i32−3+3i32300−3−3i32−3+3i32−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−2ζ−ζ4ζ+2ζ4ζ−ζ400−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−2ζ−ζ4ζ+2ζ4ζ−ζ4ζ2+ζ3+ζ41+ζ+ζ8ζ5+ζ6+ζ7ζ+ζ3+ζ51+ζ2+ζ7ζ4+ζ6+ζ8ζ3+ζ7+ζ8ζ+ζ2+ζ61+ζ4+ζ5ζ+ζ2+ζ61+ζ4+ζ5ζ3+ζ7+ζ8ζ5+ζ6+ζ7ζ2+ζ3+ζ41+ζ+ζ8ζ4+ζ6+ζ8ζ+ζ3+ζ51+ζ2+ζ7000000000000
χ413−3−3i32−3+3i32300−3−3i32−3+3i32−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−2ζ−ζ4ζ+2ζ4ζ−ζ400−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−2ζ−ζ4ζ+2ζ4ζ−ζ4ζ5+ζ6+ζ7ζ2+ζ3+ζ41+ζ+ζ8ζ4+ζ6+ζ8ζ+ζ3+ζ51+ζ2+ζ7ζ+ζ2+ζ61+ζ4+ζ5ζ3+ζ7+ζ8ζ3+ζ7+ζ8ζ+ζ2+ζ61+ζ4+ζ5ζ2+ζ3+ζ41+ζ+ζ8ζ5+ζ6+ζ7ζ+ζ3+ζ51+ζ2+ζ7ζ4+ζ6+ζ80000000000003−3−3i32−3+3i32300−3−3i32−3+3i32−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−2ζ−ζ4ζ+2ζ4ζ−ζ400−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−2ζ−ζ4ζ+2ζ4ζ−ζ4ζ5+ζ6+ζ7ζ2+ζ3+ζ41+ζ+ζ8ζ4+ζ6+ζ8ζ+ζ3+ζ51+ζ2+ζ7ζ+ζ2+ζ61+ζ4+ζ5ζ3+ζ7+ζ8ζ3+ζ7+ζ8ζ+ζ2+ζ61+ζ4+ζ5ζ2+ζ3+ζ41+ζ+ζ8ζ5+ζ6+ζ7ζ+ζ3+ζ51+ζ2+ζ7ζ4+ζ6+ζ8000000000000
χ423−3−3i32−3+3i32300−3−3i32−3+3i32−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5ζ+2ζ4ζ−ζ4−2ζ−ζ400−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5ζ+2ζ4ζ−ζ4−2ζ−ζ41+ζ2+ζ7ζ4+ζ6+ζ8ζ+ζ3+ζ51+ζ4+ζ5ζ+ζ2+ζ6ζ3+ζ7+ζ81+ζ+ζ8ζ2+ζ3+ζ4ζ5+ζ6+ζ71+ζ+ζ8ζ2+ζ3+ζ4ζ5+ζ6+ζ71+ζ2+ζ7ζ4+ζ6+ζ8ζ+ζ3+ζ51+ζ4+ζ5ζ+ζ2+ζ6ζ3+ζ7+ζ80000000000003−3−3i32−3+3i32300−3−3i32−3+3i32−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5ζ+2ζ4ζ−ζ4−2ζ−ζ400−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5ζ+2ζ4ζ−ζ4−2ζ−ζ41+ζ2+ζ7ζ4+ζ6+ζ8ζ+ζ3+ζ51+ζ4+ζ5ζ+ζ2+ζ6ζ3+ζ7+ζ81+ζ+ζ8ζ2+ζ3+ζ4ζ5+ζ6+ζ71+ζ+ζ8ζ2+ζ3+ζ4ζ5+ζ6+ζ71+ζ2+ζ7ζ4+ζ6+ζ8ζ+ζ3+ζ51+ζ4+ζ5ζ+ζ2+ζ6ζ3+ζ7+ζ8000000000000
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χ843−3+3i32−3−3i32300−3+3i32−3−3i32ζ−ζ4−2ζ−ζ4ζ+2ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ500ζ−ζ4−2ζ−ζ4ζ+2ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5ζ4+ζ6+ζ81+ζ2+ζ7ζ+ζ3+ζ5ζ+ζ2+ζ61+ζ4+ζ5ζ3+ζ7+ζ8ζ5+ζ6+ζ7ζ2+ζ3+ζ41+ζ+ζ8ζ2+ζ3+ζ41+ζ+ζ8ζ5+ζ6+ζ7ζ+ζ3+ζ5ζ4+ζ6+ζ81+ζ2+ζ7ζ3+ζ7+ζ8ζ+ζ2+ζ61+ζ4+ζ5000000000000-33−3i323+3i32-3003−3i323+3i32−ζ+ζ42ζ+ζ4−ζ−2ζ4ζ2−ζ5ζ2+2ζ5−2ζ2−ζ500−ζ+ζ42ζ+ζ4−ζ−2ζ4ζ2−ζ5ζ2+2ζ5−2ζ2−ζ5−ζ4−ζ6−ζ8−1−ζ2−ζ7−ζ−ζ3−ζ5−ζ−ζ2−ζ6−1−ζ4−ζ5−ζ3−ζ7−ζ8−ζ5−ζ6−ζ7−ζ2−ζ3−ζ4−1−ζ−ζ8−ζ2−ζ3−ζ4−1−ζ−ζ8−ζ5−ζ6−ζ7−ζ−ζ3−ζ5−ζ4−ζ6−ζ8−1−ζ2−ζ7−ζ3−ζ7−ζ8−ζ−ζ2−ζ6−1−ζ4−ζ5000000000000
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χ1029−9−9i32−9+9i32-3003+3i323−3i326ζ2+3ζ5−3ζ2+3ζ5−3ζ2−6ζ53ζ−3ζ4−6ζ−3ζ43ζ+6ζ400−2ζ2−ζ5ζ2−ζ5ζ2+2ζ5−ζ+ζ42ζ+ζ4−ζ−2ζ4000000000000000000000000000000-99+9i329−9i32300−3−3i32−3+3i32−6ζ2−3ζ53ζ2−3ζ53ζ2+6ζ5−3ζ+3ζ46ζ+3ζ4−3ζ−6ζ4002ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5ζ−ζ4−2ζ−ζ4ζ+2ζ4000000000000000000000000000000
χ1039−9−9i32−9+9i32-3003+3i323−3i32−3ζ2+3ζ5−3ζ2−6ζ56ζ2+3ζ5−6ζ−3ζ43ζ+6ζ43ζ−3ζ400ζ2−ζ5ζ2+2ζ5−2ζ2−ζ52ζ+ζ4−ζ−2ζ4−ζ+ζ4000000000000000000000000000000-99+9i329−9i32300−3−3i32−3+3i323ζ2−3ζ53ζ2+6ζ5−6ζ2−3ζ56ζ+3ζ4−3ζ−6ζ4−3ζ+3ζ400−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−2ζ−ζ4ζ+2ζ4ζ−ζ4000000000000000000000000000000
χ1049−9−9i32−9+9i32-3003+3i323−3i32−3ζ2−6ζ56ζ2+3ζ5−3ζ2+3ζ53ζ+6ζ43ζ−3ζ4−6ζ−3ζ400ζ2+2ζ5−2ζ2−ζ5ζ2−ζ5−ζ−2ζ4−ζ+ζ42ζ+ζ4000000000000000000000000000000-99+9i329−9i32300−3−3i32−3+3i323ζ2+6ζ5−6ζ2−3ζ53ζ2−3ζ5−3ζ−6ζ4−3ζ+3ζ46ζ+3ζ400−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5ζ+2ζ4ζ−ζ4−2ζ−ζ4000000000000000000000000000000

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