Finite Group Databasebeta

← Group #13091233

Character table — Group #13091233

Order 1458.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size1111111113333336669999999999999999999999999991818181818181818181818272727272727272727272727272727272727272727272727545454545454
order13333333399999933326666666699999999999999999933399999999181818181818181818181818181818181818181818181818339999
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111−1+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−i3211111111111111111−1+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
χ3111111111111111111111111111−1−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+i3211111111111111111−1−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
χ4111111111111111111-1-1-1-1-1-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-1-1-1-1-1-1-1-1−1+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−i3211111111111-1-1-1-1-1-11−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
χ6111111111111111111-1-1-1-1-1-1-1-1-1−1−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+i3211111111111-1-1-1-1-1-11+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
χ7111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+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−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i32
χ8111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32111−1+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−i32111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i3211−1+i32
χ9111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+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−i32111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1+i321−1+i32−1−i321
χ10111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111-1-1-1-1-1-1-1-1-1111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i32-1-1-11−i321−i321−i321+i321+i321+i32-1-1-11−i321−i321−i321+i321+i321+i3211−1+i32−1−i32−1+i32−1−i32
χ11111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111-1-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i321−i321−i321−i321+i321+i321+i32-1-1-11+i321+i321+i32-1-1-11−i321−i321−i32−1+i32−1−i32−1−i3211−1+i32
χ12111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111-1-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i32-1-1-1−1−i32−1+i321−1+i32−1−i321
χ13111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−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+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32
χ14111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111111−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−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+i32111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1+i32−1−i321−1−i32−1+i321
χ15111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32111−1−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+i32111−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i3211−1−i32
χ16111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111-1-1-1-1-1-1-1-1-1111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i32-1-1-11+i321+i321+i321−i321−i321−i32-1-1-11+i321+i321+i321−i321−i321−i3211−1−i32−1+i32−1−i32−1+i32
χ17111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111-1-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i32-1-1-1−1+i32−1−i321−1−i32−1+i321
χ18111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111-1-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i321+i321+i321+i321−i321−i321−i32-1-1-11−i321−i321−i32-1-1-11+i321+i321+i32−1−i32−1+i32−1+i3211−1−i32
χ19222222222222222222000000000222222222222222222-1-1-12-1-1-12-1-1-1000000000000000000000000-1-1-1-1-1-1
χ20222222222222222222000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3-1-1-12-1-1-12-1-1-10000000000000000000000001−i321+i321−i321−i321+i321+i32
χ21222222222222222222000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3-1-1-12-1-1-12-1-1-10000000000000000000000001+i321−i321+i321+i321−i321−i32
χ22222222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222000000000222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i32000000000000000000000000-1-11−i321+i321−i321+i32
χ23222222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222000000000−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222−1−i3−1−i3−1−i3222−1+i3−1+i3−1+i3-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i320000000000000000000000001−i321+i321+i32-1-11−i32
χ24222222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222000000000−1−i3−1−i3−1−i3222−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i320000000000000000000000001+i321−i32-11−i321+i32-1
χ25222222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222000000000222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i32000000000000000000000000-1-11+i321−i321+i321−i32
χ26222222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222000000000−1+i3−1+i3−1+i3222−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i320000000000000000000000001−i321+i32-11+i321−i32-1
χ27222222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222000000000−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222−1+i3−1+i3−1+i3222−1−i3−1−i3−1−i3-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i320000000000000000000000001+i321−i321−i32-1-11+i32
χ28333−3+3i32−3+3i32−3−3i32−3−3i32−3+3i32−3−3i320000003−3+3i32−3−3i32333−3+3i32−3+3i32−3−3i32−3−3i32−3+3i32−3−3i320000000000000000003−3+3i32−3−3i3200000000000000000000000000000000000000
χ29333−3+3i32−3+3i32−3−3i32−3−3i32−3+3i32−3−3i320000003−3+3i32−3−3i32-3-3-33−3i323−3i323+3i323+3i323−3i323+3i320000000000000000003−3+3i32−3−3i3200000000000000000000000000000000000000
χ30333−3−3i32−3−3i32−3+3i32−3+3i32−3−3i32−3+3i320000003−3−3i32−3+3i32333−3−3i32−3−3i32−3+3i32−3+3i32−3−3i32−3+3i320000000000000000003−3−3i32−3+3i3200000000000000000000000000000000000000
χ31333−3−3i32−3−3i32−3+3i32−3+3i32−3−3i32−3+3i320000003−3−3i32−3+3i32-3-3-33+3i323+3i323−3i323−3i323+3i323−3i320000000000000000003−3−3i32−3+3i3200000000000000000000000000000000000000
χ323−3+3i32−3−3i323−3+3i323−3−3i32−3−3i32−3+3i323ζ23ζ53ζ83ζ3ζ43ζ70001−1+i32−1−i321−1+i321−1−i32−1−i32−1+i32ζ+2ζ4ζ−ζ4−2ζ−ζ4i33−i32−3−i32ζ2+2ζ5ζ2−ζ5−2ζ2−ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ52ζ+ζ4−ζ+ζ4−ζ−2ζ43+i32−3+i32−i300000000000ζ2ζ5ζ8ζζ4ζ7ζζ4ζ71−1+i32−1−i32ζ2ζ5ζ8ζ2ζ5ζ8ζζ4ζ71−1+i32−1−i32000000
χ333−3+3i32−3−3i323−3+3i323−3−3i32−3−3i32−3+3i323ζ23ζ53ζ83ζ3ζ43ζ70001−1+i32−1−i321−1+i321−1−i32−1−i32−1+i32ζ−ζ4−2ζ−ζ4ζ+2ζ43−i32−3−i32i3ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ+ζ4−ζ−2ζ42ζ+ζ4−3+i32−i33+i3200000000000ζ2ζ5ζ8ζζ4ζ7ζ7ζζ4−1−i321−1+i32ζ8ζ2ζ5ζ5ζ8ζ2ζ4ζ7ζ−1+i32−1−i321000000
χ343−3+3i32−3−3i323−3+3i323−3−3i32−3−3i32−3+3i323ζ23ζ53ζ83ζ3ζ43ζ70001−1+i32−1−i321−1+i321−1−i32−1−i32−1+i32−2ζ−ζ4ζ+2ζ4ζ−ζ4−3−i32i33−i32−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−ζ−2ζ42ζ+ζ4−ζ+ζ4−i33+i32−3+i3200000000000ζ2ζ5ζ8ζζ4ζ7ζ4ζ7ζ−1+i32−1−i321ζ5ζ8ζ2ζ8ζ2ζ5ζ7ζζ4−1−i321−1+i32000000
χ353−3+3i32−3−3i323−3+3i323−3−3i32−3−3i32−3+3i323ζ23ζ53ζ83ζ3ζ43ζ7000-11−i321+i32-11−i32-11+i321+i321−i32ζ+2ζ4ζ−ζ4−2ζ−ζ4i33−i32−3−i32ζ2+2ζ5ζ2−ζ5−2ζ2−ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ52ζ+ζ4−ζ+ζ4−ζ−2ζ43+i32−3+i32−i300000000000−ζ2−ζ5−ζ8−ζ−ζ4−ζ7−ζ−ζ4−ζ7-11−i321+i32−ζ2−ζ5−ζ8−ζ2−ζ5−ζ8−ζ−ζ4−ζ7-11−i321+i32000000
χ363−3+3i32−3−3i323−3+3i323−3−3i32−3−3i32−3+3i323ζ23ζ53ζ83ζ3ζ43ζ7000-11−i321+i32-11−i32-11+i321+i321−i32ζ−ζ4−2ζ−ζ4ζ+2ζ43−i32−3−i32i3ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ+ζ4−ζ−2ζ42ζ+ζ4−3+i32−i33+i3200000000000−ζ2−ζ5−ζ8−ζ−ζ4−ζ7−ζ7−ζ−ζ41+i32-11−i32−ζ8−ζ2−ζ5−ζ5−ζ8−ζ2−ζ4−ζ7−ζ1−i321+i32-1000000
χ373−3+3i32−3−3i323−3+3i323−3−3i32−3−3i32−3+3i323ζ23ζ53ζ83ζ3ζ43ζ7000-11−i321+i32-11−i32-11+i321+i321−i32−2ζ−ζ4ζ+2ζ4ζ−ζ4−3−i32i33−i32−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−ζ−2ζ42ζ+ζ4−ζ+ζ4−i33+i32−3+i3200000000000−ζ2−ζ5−ζ8−ζ−ζ4−ζ7−ζ4−ζ7−ζ1−i321+i32-1−ζ5−ζ8−ζ2−ζ8−ζ2−ζ5−ζ7−ζ−ζ41+i32-11−i32000000
χ383−3+3i32−3−3i323−3+3i323−3−3i32−3−3i32−3+3i323ζ53ζ83ζ23ζ73ζ3ζ40001−1+i32−1−i321−1+i321−1−i32−1−i32−1+i32ζ+2ζ4ζ−ζ4−2ζ−ζ4−3−i32i33−i32ζ2−ζ5−2ζ2−ζ5ζ2+2ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5−ζ+ζ4−ζ−2ζ42ζ+ζ4−i33+i32−3+i3200000000000ζ5ζ8ζ2ζ7ζζ4ζζ4ζ7−1+i32−1−i321ζ8ζ2ζ5ζ2ζ5ζ8ζ4ζ7ζ−1−i321−1+i32000000
χ393−3+3i32−3−3i323−3+3i323−3−3i32−3−3i32−3+3i323ζ53ζ83ζ23ζ73ζ3ζ40001−1+i32−1−i321−1+i321−1−i32−1−i32−1+i32ζ−ζ4−2ζ−ζ4ζ+2ζ4i33−i32−3−i32−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ−2ζ42ζ+ζ4−ζ+ζ43+i32−3+i32−i300000000000ζ5ζ8ζ2ζ7ζζ4ζ7ζζ41−1+i32−1−i32ζ5ζ8ζ2ζ5ζ8ζ2ζ7ζζ41−1+i32−1−i32000000
χ403−3+3i32−3−3i323−3+3i323−3−3i32−3−3i32−3+3i323ζ53ζ83ζ23ζ73ζ3ζ40001−1+i32−1−i321−1+i321−1−i32−1−i32−1+i32−2ζ−ζ4ζ+2ζ4ζ−ζ43−i32−3−i32i3ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ52ζ+ζ4−ζ+ζ4−ζ−2ζ4−3+i32−i33+i3200000000000ζ5ζ8ζ2ζ7ζζ4ζ4ζ7ζ−1−i321−1+i32ζ2ζ5ζ8ζ8ζ2ζ5ζζ4ζ7−1+i32−1−i321000000
χ413−3+3i32−3−3i323−3+3i323−3−3i32−3−3i32−3+3i323ζ53ζ83ζ23ζ73ζ3ζ4000-11−i321+i32-11−i32-11+i321+i321−i32ζ+2ζ4ζ−ζ4−2ζ−ζ4−3−i32i33−i32ζ2−ζ5−2ζ2−ζ5ζ2+2ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5−ζ+ζ4−ζ−2ζ42ζ+ζ4−i33+i32−3+i3200000000000−ζ5−ζ8−ζ2−ζ7−ζ−ζ4−ζ−ζ4−ζ71−i321+i32-1−ζ8−ζ2−ζ5−ζ2−ζ5−ζ8−ζ4−ζ7−ζ1+i32-11−i32000000
χ423−3+3i32−3−3i323−3+3i323−3−3i32−3−3i32−3+3i323ζ53ζ83ζ23ζ73ζ3ζ4000-11−i321+i32-11−i32-11+i321+i321−i32ζ−ζ4−2ζ−ζ4ζ+2ζ4i33−i32−3−i32−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ−2ζ42ζ+ζ4−ζ+ζ43+i32−3+i32−i300000000000−ζ5−ζ8−ζ2−ζ7−ζ−ζ4−ζ7−ζ−ζ4-11−i321+i32−ζ5−ζ8−ζ2−ζ5−ζ8−ζ2−ζ7−ζ−ζ4-11−i321+i32000000
χ433−3+3i32−3−3i323−3+3i323−3−3i32−3−3i32−3+3i323ζ53ζ83ζ23ζ73ζ3ζ4000-11−i321+i32-11−i32-11+i321+i321−i32−2ζ−ζ4ζ+2ζ4ζ−ζ43−i32−3−i32i3ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ52ζ+ζ4−ζ+ζ4−ζ−2ζ4−3+i32−i33+i3200000000000−ζ5−ζ8−ζ2−ζ7−ζ−ζ4−ζ4−ζ7−ζ1+i32-11−i32−ζ2−ζ5−ζ8−ζ8−ζ2−ζ5−ζ−ζ4−ζ71−i321+i32-1000000
χ443−3+3i32−3−3i323−3+3i323−3−3i32−3−3i32−3+3i323ζ83ζ23ζ53ζ43ζ73ζ0001−1+i32−1−i321−1+i321−1−i32−1−i32−1+i32ζ+2ζ4ζ−ζ4−2ζ−ζ43−i32−3−i32i3−2ζ2−ζ5ζ2+2ζ5ζ2−ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5−ζ−2ζ42ζ+ζ4−ζ+ζ4−3+i32−i33+i3200000000000ζ8ζ2ζ5ζ4ζ7ζζζ4ζ7−1−i321−1+i32ζ5ζ8ζ2ζ2ζ5ζ8ζ7ζζ4−1+i32−1−i321000000
χ453−3+3i32−3−3i323−3+3i323−3−3i32−3−3i32−3+3i323ζ83ζ23ζ53ζ43ζ73ζ0001−1+i32−1−i321−1+i321−1−i32−1−i32−1+i32ζ−ζ4−2ζ−ζ4ζ+2ζ4−3−i32i33−i32ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ52ζ+ζ4−ζ+ζ4−ζ−2ζ4−i33+i32−3+i3200000000000ζ8ζ2ζ5ζ4ζ7ζζ7ζζ4−1+i32−1−i321ζ2ζ5ζ8ζ5ζ8ζ2ζζ4ζ7−1−i321−1+i32000000
χ463−3+3i32−3−3i323−3+3i323−3−3i32−3−3i32−3+3i323ζ83ζ23ζ53ζ43ζ73ζ0001−1+i32−1−i321−1+i321−1−i32−1−i32−1+i32−2ζ−ζ4ζ+2ζ4ζ−ζ4i33−i32−3−i32ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−ζ+ζ4−ζ−2ζ42ζ+ζ43+i32−3+i32−i300000000000ζ8ζ2ζ5ζ4ζ7ζζ4ζ7ζ1−1+i32−1−i32ζ8ζ2ζ5ζ8ζ2ζ5ζ4ζ7ζ1−1+i32−1−i32000000
χ473−3+3i32−3−3i323−3+3i323−3−3i32−3−3i32−3+3i323ζ83ζ23ζ53ζ43ζ73ζ000-11−i321+i32-11−i32-11+i321+i321−i32ζ+2ζ4ζ−ζ4−2ζ−ζ43−i32−3−i32i3−2ζ2−ζ5ζ2+2ζ5ζ2−ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5−ζ−2ζ42ζ+ζ4−ζ+ζ4−3+i32−i33+i3200000000000−ζ8−ζ2−ζ5−ζ4−ζ7−ζ−ζ−ζ4−ζ71+i32-11−i32−ζ5−ζ8−ζ2−ζ2−ζ5−ζ8−ζ7−ζ−ζ41−i321+i32-1000000
χ483−3+3i32−3−3i323−3+3i323−3−3i32−3−3i32−3+3i323ζ83ζ23ζ53ζ43ζ73ζ000-11−i321+i32-11−i32-11+i321+i321−i32ζ−ζ4−2ζ−ζ4ζ+2ζ4−3−i32i33−i32ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ52ζ+ζ4−ζ+ζ4−ζ−2ζ4−i33+i32−3+i3200000000000−ζ8−ζ2−ζ5−ζ4−ζ7−ζ−ζ7−ζ−ζ41−i321+i32-1−ζ2−ζ5−ζ8−ζ5−ζ8−ζ2−ζ−ζ4−ζ71+i32-11−i32000000
χ493−3+3i32−3−3i323−3+3i323−3−3i32−3−3i32−3+3i323ζ83ζ23ζ53ζ43ζ73ζ000-11−i321+i32-11−i32-11+i321+i321−i32−2ζ−ζ4ζ+2ζ4ζ−ζ4i33−i32−3−i32ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−ζ+ζ4−ζ−2ζ42ζ+ζ43+i32−3+i32−i300000000000−ζ8−ζ2−ζ5−ζ4−ζ7−ζ−ζ4−ζ7−ζ-11−i321+i32−ζ8−ζ2−ζ5−ζ8−ζ2−ζ5−ζ4−ζ7−ζ-11−i321+i32000000
χ503−3−3i32−3+3i323−3−3i323−3+3i32−3+3i32−3−3i323ζ3ζ73ζ43ζ53ζ23ζ80001−1−i32−1+i321−1−i321−1+i32−1+i32−1−i322ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5−i33+i32−3+i32−ζ−2ζ42ζ+ζ4−ζ+ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ2+2ζ5ζ2−ζ5−2ζ2−ζ53−i32−3−i32i300000000000ζζ7ζ4ζ5ζ2ζ8ζ5ζ2ζ81−1−i32−1+i32ζζ7ζ4ζζ7ζ4ζ5ζ2ζ81−1−i32−1+i32000000
χ513−3−3i32−3+3i323−3−3i323−3+3i32−3+3i32−3−3i323ζ3ζ73ζ43ζ53ζ23ζ80001−1−i32−1+i321−1−i321−1+i32−1+i32−1−i32−ζ2+ζ5−ζ2−2ζ52ζ2+ζ53+i32−3+i32−i32ζ+ζ4−ζ+ζ4−ζ−2ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5−3−i32i33−i3200000000000ζζ7ζ4ζ5ζ2ζ8ζ8ζ5ζ2−1+i321−1−i32ζ4ζζ7ζ7ζ4ζζ2ζ8ζ5−1−i32−1+i321000000
χ523−3−3i32−3+3i323−3−3i323−3+3i32−3+3i32−3−3i323ζ3ζ73ζ43ζ53ζ23ζ80001−1−i32−1+i321−1−i321−1+i32−1+i32−1−i32−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−3+i32−i33+i32−ζ+ζ4−ζ−2ζ42ζ+ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ4−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5i33−i32−3−i3200000000000ζζ7ζ4ζ5ζ2ζ8ζ2ζ8ζ5−1−i32−1+i321ζ7ζ4ζζ4ζζ7ζ8ζ5ζ2−1+i321−1−i32000000
χ533−3−3i32−3+3i323−3−3i323−3+3i32−3+3i32−3−3i323ζ3ζ73ζ43ζ53ζ23ζ8000-11+i321−i32-11+i32-11−i321−i321+i322ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5−i33+i32−3+i32−ζ−2ζ42ζ+ζ4−ζ+ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ2+2ζ5ζ2−ζ5−2ζ2−ζ53−i32−3−i32i300000000000−ζ−ζ7−ζ4−ζ5−ζ2−ζ8−ζ5−ζ2−ζ8-11+i321−i32−ζ−ζ7−ζ4−ζ−ζ7−ζ4−ζ5−ζ2−ζ8-11+i321−i32000000
χ543−3−3i32−3+3i323−3−3i323−3+3i32−3+3i32−3−3i323ζ3ζ73ζ43ζ53ζ23ζ8000-11+i321−i32-11+i32-11−i321−i321+i32−ζ2+ζ5−ζ2−2ζ52ζ2+ζ53+i32−3+i32−i32ζ+ζ4−ζ+ζ4−ζ−2ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5−3−i32i33−i3200000000000−ζ−ζ7−ζ4−ζ5−ζ2−ζ8−ζ8−ζ5−ζ21−i32-11+i32−ζ4−ζ−ζ7−ζ7−ζ4−ζ−ζ2−ζ8−ζ51+i321−i32-1000000
χ553−3−3i32−3+3i323−3−3i323−3+3i32−3+3i32−3−3i323ζ3ζ73ζ43ζ53ζ23ζ8000-11+i321−i32-11+i32-11−i321−i321+i32−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−3+i32−i33+i32−ζ+ζ4−ζ−2ζ42ζ+ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ4−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5i33−i32−3−i3200000000000−ζ−ζ7−ζ4−ζ5−ζ2−ζ8−ζ2−ζ8−ζ51+i321−i32-1−ζ7−ζ4−ζ−ζ4−ζ−ζ7−ζ8−ζ5−ζ21−i32-11+i32000000
χ563−3−3i32−3+3i323−3−3i323−3+3i32−3+3i32−3−3i323ζ43ζ3ζ73ζ23ζ83ζ50001−1−i32−1+i321−1−i321−1+i32−1+i32−1−i322ζ2+ζ5−ζ2+ζ5−ζ2−2ζ53+i32−3+i32−i3−ζ+ζ4−ζ−2ζ42ζ+ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5−3−i32i33−i3200000000000ζ4ζζ7ζ2ζ8ζ5ζ5ζ2ζ8−1+i321−1−i32ζ7ζ4ζζζ7ζ4ζ8ζ5ζ2−1−i32−1+i321000000
χ573−3−3i32−3+3i323−3−3i323−3+3i32−3+3i32−3−3i323ζ43ζ3ζ73ζ23ζ83ζ50001−1−i32−1+i321−1−i321−1+i32−1+i32−1−i32−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−3+i32−i33+i32−ζ−2ζ42ζ+ζ4−ζ+ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5i33−i32−3−i3200000000000ζ4ζζ7ζ2ζ8ζ5ζ8ζ5ζ2−1−i32−1+i321ζζ7ζ4ζ7ζ4ζζ5ζ2ζ8−1+i321−1−i32000000
χ583−3−3i32−3+3i323−3−3i323−3+3i32−3+3i32−3−3i323ζ43ζ3ζ73ζ23ζ83ζ50001−1−i32−1+i321−1−i321−1+i32−1+i32−1−i32−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−i33+i32−3+i322ζ+ζ4−ζ+ζ4−ζ−2ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ4ζ2−ζ5−2ζ2−ζ5ζ2+2ζ53−i32−3−i32i300000000000ζ4ζζ7ζ2ζ8ζ5ζ2ζ8ζ51−1−i32−1+i32ζ4ζζ7ζ4ζζ7ζ2ζ8ζ51−1−i32−1+i32000000
χ593−3−3i32−3+3i323−3−3i323−3+3i32−3+3i32−3−3i323ζ43ζ3ζ73ζ23ζ83ζ5000-11+i321−i32-11+i32-11−i321−i321+i322ζ2+ζ5−ζ2+ζ5−ζ2−2ζ53+i32−3+i32−i3−ζ+ζ4−ζ−2ζ42ζ+ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5−3−i32i33−i3200000000000−ζ4−ζ−ζ7−ζ2−ζ8−ζ5−ζ5−ζ2−ζ81−i32-11+i32−ζ7−ζ4−ζ−ζ−ζ7−ζ4−ζ8−ζ5−ζ21+i321−i32-1000000
χ603−3−3i32−3+3i323−3−3i323−3+3i32−3+3i32−3−3i323ζ43ζ3ζ73ζ23ζ83ζ5000-11+i321−i32-11+i32-11−i321−i321+i32−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−3+i32−i33+i32−ζ−2ζ42ζ+ζ4−ζ+ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5i33−i32−3−i3200000000000−ζ4−ζ−ζ7−ζ2−ζ8−ζ5−ζ8−ζ5−ζ21+i321−i32-1−ζ−ζ7−ζ4−ζ7−ζ4−ζ−ζ5−ζ2−ζ81−i32-11+i32000000
χ613−3−3i32−3+3i323−3−3i323−3+3i32−3+3i32−3−3i323ζ43ζ3ζ73ζ23ζ83ζ5000-11+i321−i32-11+i32-11−i321−i321+i32−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−i33+i32−3+i322ζ+ζ4−ζ+ζ4−ζ−2ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ4ζ2−ζ5−2ζ2−ζ5ζ2+2ζ53−i32−3−i32i300000000000−ζ4−ζ−ζ7−ζ2−ζ8−ζ5−ζ2−ζ8−ζ5-11+i321−i32−ζ4−ζ−ζ7−ζ4−ζ−ζ7−ζ2−ζ8−ζ5-11+i321−i32000000
χ623−3−3i32−3+3i323−3−3i323−3+3i32−3+3i32−3−3i323ζ73ζ43ζ3ζ83ζ53ζ20001−1−i32−1+i321−1−i321−1+i32−1+i32−1−i322ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5−3+i32−i33+i322ζ+ζ4−ζ+ζ4−ζ−2ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5i33−i32−3−i3200000000000ζ7ζ4ζζ8ζ5ζ2ζ5ζ2ζ8−1−i32−1+i321ζ4ζζ7ζζ7ζ4ζ2ζ8ζ5−1+i321−1−i32000000
χ633−3−3i32−3+3i323−3−3i323−3+3i32−3+3i32−3−3i323ζ73ζ43ζ3ζ83ζ53ζ20001−1−i32−1+i321−1−i321−1+i32−1+i32−1−i32−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−i33+i32−3+i32−ζ+ζ4−ζ−2ζ42ζ+ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4−2ζ2−ζ5ζ2+2ζ5ζ2−ζ53−i32−3−i32i300000000000ζ7ζ4ζζ8ζ5ζ2ζ8ζ5ζ21−1−i32−1+i32ζ7ζ4ζζ7ζ4ζζ8ζ5ζ21−1−i32−1+i32000000
χ643−3−3i32−3+3i323−3−3i323−3+3i32−3+3i32−3−3i323ζ73ζ43ζ3ζ83ζ53ζ20001−1−i32−1+i321−1−i321−1+i32−1+i32−1−i32−ζ2−2ζ52ζ2+ζ5−ζ2+ζ53+i32−3+i32−i3−ζ−2ζ42ζ+ζ4−ζ+ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ4ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5−3−i32i33−i3200000000000ζ7ζ4ζζ8ζ5ζ2ζ2ζ8ζ5−1+i321−1−i32ζζ7ζ4ζ4ζζ7ζ5ζ2ζ8−1−i32−1+i321000000
χ653−3−3i32−3+3i323−3−3i323−3+3i32−3+3i32−3−3i323ζ73ζ43ζ3ζ83ζ53ζ2000-11+i321−i32-11+i32-11−i321−i321+i322ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5−3+i32−i33+i322ζ+ζ4−ζ+ζ4−ζ−2ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5i33−i32−3−i3200000000000−ζ7−ζ4−ζ−ζ8−ζ5−ζ2−ζ5−ζ2−ζ81+i321−i32-1−ζ4−ζ−ζ7−ζ−ζ7−ζ4−ζ2−ζ8−ζ51−i32-11+i32000000
χ663−3−3i32−3+3i323−3−3i323−3+3i32−3+3i32−3−3i323ζ73ζ43ζ3ζ83ζ53ζ2000-11+i321−i32-11+i32-11−i321−i321+i32−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−i33+i32−3+i32−ζ+ζ4−ζ−2ζ42ζ+ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4−2ζ2−ζ5ζ2+2ζ5ζ2−ζ53−i32−3−i32i300000000000−ζ7−ζ4−ζ−ζ8−ζ5−ζ2−ζ8−ζ5−ζ2-11+i321−i32−ζ7−ζ4−ζ−ζ7−ζ4−ζ−ζ8−ζ5−ζ2-11+i321−i32000000
χ673−3−3i32−3+3i323−3−3i323−3+3i32−3+3i32−3−3i323ζ73ζ43ζ3ζ83ζ53ζ2000-11+i321−i32-11+i32-11−i321−i321+i32−ζ2−2ζ52ζ2+ζ5−ζ2+ζ53+i32−3+i32−i3−ζ−2ζ42ζ+ζ4−ζ+ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ4ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5−3−i32i33−i3200000000000−ζ7−ζ4−ζ−ζ8−ζ5−ζ2−ζ2−ζ8−ζ51−i32-11+i32−ζ−ζ7−ζ4−ζ4−ζ−ζ7−ζ5−ζ2−ζ81+i321−i32-1000000
χ68666666666666666-3-3-3000000000000000000000000000000-3000-3000000000000000000000000000000000
χ69666666666−3+3i3−3+3i3−3+3i3−3−3i3−3−3i3−3−3i3-3-3-30000000000000000000000000000003−3i320003+3i32000000000000000000000000000000000
χ70666666666−3−3i3−3−3i3−3−3i3−3+3i3−3+3i3−3+3i3-3-3-30000000000000000000000000000003+3i320003−3i32000000000000000000000000000000000
χ71666−3+3i3−3+3i3−3−3i3−3−3i3−3+3i3−3−3i30000006−3+3i3−3−3i3000000000000000000000000000-33−3i323+3i3200000000000000000000000000000000000000
χ72666−3+3i3−3+3i3−3−3i3−3−3i3−3+3i3−3−3i3000000-33−3i323+3i3200000000000000000000000000000003ζ3ζ43ζ703ζ23ζ53ζ8000000000000000000000000000000
χ73666−3+3i3−3+3i3−3−3i3−3−3i3−3+3i3−3−3i3000000-33−3i323+3i3200000000000000000000000000000003ζ43ζ73ζ03ζ83ζ23ζ5000000000000000000000000000000
χ74666−3+3i3−3+3i3−3−3i3−3−3i3−3+3i3−3−3i3000000-33−3i323+3i3200000000000000000000000000000003ζ73ζ3ζ403ζ53ζ83ζ2000000000000000000000000000000
χ75666−3−3i3−3−3i3−3+3i3−3+3i3−3−3i3−3+3i30000006−3−3i3−3+3i3000000000000000000000000000-33+3i323−3i3200000000000000000000000000000000000000
χ76666−3−3i3−3−3i3−3+3i3−3+3i3−3−3i3−3+3i3000000-33+3i323−3i3200000000000000000000000000000003ζ23ζ83ζ503ζ43ζ3ζ7000000000000000000000000000000
χ77666−3−3i3−3−3i3−3+3i3−3+3i3−3−3i3−3+3i3000000-33+3i323−3i3200000000000000000000000000000003ζ53ζ23ζ803ζ3ζ73ζ4000000000000000000000000000000
χ78666−3−3i3−3−3i3−3+3i3−3+3i3−3−3i3−3+3i3000000-33+3i323−3i3200000000000000000000000000000003ζ83ζ53ζ203ζ73ζ43ζ000000000000000000000000000000
χ799−9+9i32−9−9i32−9+9i32−9−9i32−9−9i32−9+9i32990000000003−3+3i32−3−3i32−3+3i32−3−3i32−3−3i32−3+3i323300000000000000000000000000000000000000000000000000000000000
χ809−9+9i32−9−9i32−9+9i32−9−9i32−9−9i32−9+9i3299000000000-33−3i323+3i323−3i323+3i323+3i323−3i32-3-300000000000000000000000000000000000000000000000000000000000
χ819−9+9i32−9−9i32−9−9i329−9+9i329−9+9i32−9−9i320000000003−3+3i32−3−3i32−3−3i323−3+3i323−3+3i32−3−3i3200000000000000000000000000000000000000000000000000000000000
χ829−9+9i32−9−9i32−9−9i329−9+9i329−9+9i32−9−9i32000000000-33−3i323+3i323+3i32-33−3i32-33−3i323+3i3200000000000000000000000000000000000000000000000000000000000
χ839−9−9i32−9+9i32−9+9i329−9−9i329−9−9i32−9+9i320000000003−3−3i32−3+3i32−3+3i323−3−3i323−3−3i32−3+3i3200000000000000000000000000000000000000000000000000000000000
χ849−9−9i32−9+9i32−9+9i329−9−9i329−9−9i32−9+9i32000000000-33+3i323−3i323−3i32-33+3i32-33+3i323−3i3200000000000000000000000000000000000000000000000000000000000
χ859−9−9i32−9+9i32−9−9i32−9+9i32−9+9i32−9−9i32990000000003−3−3i32−3+3i32−3−3i32−3+3i32−3+3i32−3−3i323300000000000000000000000000000000000000000000000000000000000
χ869−9−9i32−9+9i32−9−9i32−9+9i32−9+9i32−9−9i3299000000000-33+3i323−3i323+3i323−3i323−3i323+3i32-3-300000000000000000000000000000000000000000000000000000000000

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