Finite Group Databasebeta

← Group #13087754

Character table — Group #13087754

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size111122222222222222224444444444444444444444444444444444449999151515151515151518181818181818183030303030303030111122222222222222224444444444444444444444444444444444449999151515151515151518181818181818183030303030303030
order12223355666666101010101010366615151515151515153030303030303030303030303030303030303030303030304444444444442020202020202020121212121212121222226610106666661010101010106666303030303030303030303030303030303030303030303030303030303030303044444444444420202020202020201212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511-1-1111111-1-1-1-1-1-1-1-11111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1ii−i−iii−i−i1111-1-1-1-1ii−i−iii−i−i11-1-1111111-1-1-1-1-1-1-1-11111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1ii−i−iii−i−i1111-1-1-1-1ii−i−iii−i−i
χ611-1-1111111-1-1-1-1-1-1-1-11111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−iii−i−iii1111-1-1-1-1−i−iii−i−iii11-1-1111111-1-1-1-1-1-1-1-11111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−iii−i−iii1111-1-1-1-1−i−iii−i−iii
χ711-1-1111111-1-1-1-1-1-1-1-11111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii-1-1-1-11111ii−i−i−i−iii11-1-1111111-1-1-1-1-1-1-1-11111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii-1-1-1-11111ii−i−i−i−iii
χ811-1-1111111-1-1-1-1-1-1-1-11111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i-1-1-1-11111−i−iiiii−i−i11-1-1111111-1-1-1-1-1-1-1-11111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i-1-1-1-11111−i−iiiii−i−i
χ91-11-11111-1-11-11-111-1-1-1-11-11-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1i−ii−i1-11-1i−ii−iii−i−iii−i−i1-11-1i−ii−i1-11-11111-1-11-11-111-1-1-1-11-11-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1i−ii−i1-11-1i−ii−iii−i−iii−i−i1-11-1i−ii−i
χ101-11-11111-1-11-11-111-1-1-1-11-11-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1i−ii−i-11-11−ii−iiii−i−iii−i−i-11-11−ii−ii1-11-11111-1-11-11-111-1-1-1-11-11-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1i−ii−i-11-11−ii−iiii−i−iii−i−i-11-11−ii−ii
χ111-11-11111-1-11-11-111-1-1-1-11-11-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−ii−ii1-11-1−ii−ii−i−iii−i−iii1-11-1−ii−ii1-11-11111-1-11-11-111-1-1-1-11-11-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−ii−ii1-11-1−ii−ii−i−iii−i−iii1-11-1−ii−ii
χ121-11-11111-1-11-11-111-1-1-1-11-11-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−ii−ii-11-11i−ii−i−i−iii−i−iii-11-11i−ii−i1-11-11111-1-11-11-111-1-1-1-11-11-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−ii−ii-11-11i−ii−i−i−iii−i−iii-11-11i−ii−i
χ131-1-111111-1-1-11-11-1-111-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111i−i−iii−i−ii-111-1ii−i−i−i−iiii−i−ii-111-11-1-111111-1-1-11-11-1-111-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111i−i−iii−i−ii-111-1ii−i−i−i−iiii−i−ii-111-1
χ141-1-111111-1-1-11-11-1-111-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111i−i−ii−iii−i1-1-11ii−i−i−i−iii−iii−i1-1-111-1-111111-1-1-11-11-1-111-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111i−i−ii−iii−i1-1-11ii−i−i−i−iii−iii−i1-1-11
χ151-1-111111-1-1-11-11-1-111-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−iii−ii−i−ii1-1-11−i−iiiii−i−ii−i−ii1-1-111-1-111111-1-1-11-11-1-111-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−iii−ii−i−ii1-1-11−i−iiiii−i−ii−i−ii1-1-11
χ161-1-111111-1-1-11-11-1-111-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−iii−i−iii−i-111-1−i−iiiii−i−i−iii−i-111-11-1-111111-1-1-11-11-1-111-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−iii−i−iii−i-111-1−i−iiiii−i−i−iii−i-111-1
χ17222222−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52222200000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000222222−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52222200000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000
χ18222222−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-2000000001−521+521−521+521−521+521−521+5200000000222222−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-2000000001−521+521−521+521−521+521−521+5200000000
χ19222222−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52222200000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000222222−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52222200000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000
χ20222222−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-2000000001+521−521+521−521+521−521+521−5200000000222222−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-2000000001+521−521+521−521+521−521+521−5200000000
χ2122222-1222-12-1-12222222-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-100002222000000000000-1-1-1-1000022222-1222-12-1-12222222-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-100002222000000000000-1-1-1-10000
χ2222222-1222-12-1-12222222-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-10000-2-2-2-20000000000001111000022222-1222-12-1-12222222-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-10000-2-2-2-200000000000011110000
χ232222-1222-12-122-1222222-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1000000002222000000000000-1-1-1-12222-1222-12-122-1222222-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1000000002222000000000000-1-1-1-1
χ242222-1222-12-122-1222222-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-100000000-2-2-2-200000000000011112222-1222-12-122-1222222-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-100000000-2-2-2-20000000000001111
χ2522-2-222−1+52−1−5222-2-2-2-21−521+521−521+52−1+52−1−5222-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5222-2-200000000−1+52−1−52−1+52−1−521−521+521−521+520000000022-2-222−1+52−1−5222-2-2-2-21−521+521−521+52−1+52−1−5222-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5222-2-200000000−1+52−1−52−1+52−1−521−521+521−521+5200000000
χ2622-2-222−1+52−1−5222-2-2-2-21−521+521−521+52−1+52−1−5222-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-2-222000000001−521+521−521+52−1+52−1−52−1+52−1−520000000022-2-222−1+52−1−5222-2-2-2-21−521+521−521+52−1+52−1−5222-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-2-222000000001−521+521−521+52−1+52−1−52−1+52−1−5200000000
χ2722-2-222−1−52−1+5222-2-2-2-21+521−521+521−52−1−52−1+5222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5222-2-200000000−1−52−1+52−1−52−1+521+521−521+521−520000000022-2-222−1−52−1+5222-2-2-2-21+521−521+521−52−1−52−1+5222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5222-2-200000000−1−52−1+52−1−52−1+521+521−521+521−5200000000
χ2822-2-222−1−52−1+5222-2-2-2-21+521−521+521−52−1−52−1+5222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-222000000001+521−521+521−52−1−52−1+52−1−52−1+520000000022-2-222−1−52−1+5222-2-2-2-21+521−521+521−52−1−52−1+5222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-222000000001+521−521+521−52−1−52−1+52−1−52−1+5200000000
χ2922-2-22-1222-1-211-2-2-2-2-222-1-1112-1-1-12-1-1-12-1-1-12-1-1-1-2111-2111-2111-211100002i2i−2i−2i000000000000−i−iii000022-2-22-1222-1-211-2-2-2-2-222-1-1112-1-1-12-1-1-12-1-1-12-1-1-1-2111-2111-2111-211100002i2i−2i−2i000000000000−i−iii0000
χ3022-2-22-1222-1-211-2-2-2-2-222-1-1112-1-1-12-1-1-12-1-1-12-1-1-1-2111-2111-2111-21110000−2i−2i2i2i000000000000ii−i−i000022-2-22-1222-1-211-2-2-2-2-222-1-1112-1-1-12-1-1-12-1-1-12-1-1-1-2111-2111-2111-21110000−2i−2i2i2i000000000000ii−i−i0000
χ3122-2-2-1222-121-2-21-2-2-2-222-1-111-12-1-1-12-1-1-12-1-1-12-1-11-2111-2111-2111-211000000002i2i−2i−2i000000000000−i−iii22-2-2-1222-121-2-21-2-2-2-222-1-111-12-1-1-12-1-1-12-1-1-12-1-11-2111-2111-2111-211000000002i2i−2i−2i000000000000−i−iii
χ3222-2-2-1222-121-2-21-2-2-2-222-1-111-12-1-1-12-1-1-12-1-1-12-1-11-2111-2111-2111-21100000000−2i−2i2i2i000000000000ii−i−i22-2-2-1222-121-2-21-2-2-2-222-1-111-12-1-1-12-1-1-12-1-1-12-1-11-2111-2111-2111-21100000000−2i−2i2i2i000000000000ii−i−i
χ332-22-222−1+52−1−52-2-22-22-2−1+52−1−521−521+521−521+522-22-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+522i−2i2i−2i00000000−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7000000002-22-222−1+52−1−52-2-22-22-2−1+52−1−521−521+521−521+522-22-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+522i−2i2i−2i00000000−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ700000000
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χ1182-22-222−1+52−1−52-2-22-22-2−1+52−1−521−521+521−521+522-22-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52−2i2i−2i2i00000000ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ700000000-22-22-2-21−521+5222-22-221−521+52−1+52−1−52−1+52−1−52-22-221−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522i−2i2i−2i00000000−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ700000000
χ1192-22-222−1−52−1+52-2-22-22-2−1−52−1+521+521−521+521−522-22-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−522i−2i2i−2i00000000−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ1900000000-22-22-2-21+521−5222-22-221+521−52−1−52−1+52−1−52−1+52-22-221+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−2i2i−2i2i00000000ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ1900000000
χ1202-22-222−1−52−1+52-2-22-22-2−1−52−1+521+521−521+521−522-22-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52−2i2i−2i2i00000000ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ1900000000-22-22-2-21+521−5222-22-221+521−52−1−52−1+52−1−52−1+52-22-221+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522i−2i2i−2i00000000−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ1900000000
χ1212-22-22-122-2121-1-222-2-2-2-2-11-112-1-1-12-1-1-1-2111-21112-1-1-12-1-1-1-2111-211100002-22-2000000000000-11-110000-22-22-21-2-22-1-2-112-2-222221-11-1-2111-21112-1-1-12-1-1-1-2111-21112-1-1-12-1-1-10000-22-220000000000001-11-10000
χ1222-22-22-122-2121-1-222-2-2-2-2-11-112-1-1-12-1-1-1-2111-21112-1-1-12-1-1-1-2111-21110000-22-220000000000001-11-10000-22-22-21-2-22-1-2-112-2-222221-11-1-2111-21112-1-1-12-1-1-1-2111-21112-1-1-12-1-1-100002-22-2000000000000-11-110000
χ1232-22-2-12221-2-1-22122-2-2-2-2-11-11-12-1-1-12-1-11-2111-211-12-1-1-12-1-11-2111-211000000002i−2i2i−2i000000000000−ii−ii-22-221-2-2-2-1212-2-1-2-222221-11-11-2111-211-12-1-1-12-1-11-2111-211-12-1-1-12-1-100000000−2i2i−2i2i000000000000i−ii−i
χ1242-22-2-12221-2-1-22122-2-2-2-2-11-11-12-1-1-12-1-11-2111-211-12-1-1-12-1-11-2111-21100000000−2i2i−2i2i000000000000i−ii−i-22-221-2-2-2-1212-2-1-2-222221-11-11-2111-211-12-1-1-12-1-11-2111-211-12-1-1-12-1-1000000002i−2i2i−2i000000000000−ii−ii
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χ1262-2-2222−1+52−1−52-2-2-22-221−521+52−1+52−1−521−521+522-2-22−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−2i2i2i−2i00000000ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ700000000-222-2-2-21−521+52222-22-2−1+52−1−521−521+52−1+52−1−52-222-21−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+522i−2i−2i2i00000000−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ700000000
χ1272-2-2222−1−52−1+52-2-2-22-221+521−52−1−52−1+521+521−522-2-22−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522i−2i−2i2i00000000−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ1900000000-222-2-2-21+521−52222-22-2−1−52−1+521+521−52−1−52−1+52-222-21+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52−2i2i2i−2i00000000ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ1900000000
χ1282-2-2222−1−52−1+52-2-2-22-221+521−52−1−52−1+521+521−522-2-22−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−2i2i2i−2i00000000ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ1900000000-222-2-2-21+521−52222-22-2−1−52−1+521+521−52−1−52−1+52-222-21+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−522i−2i−2i2i00000000−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ1900000000
χ1292-2-222-122-21-2-112-2-222-2-2-111-12-1-1-12-1-1-1-2111-2111-2111-21112-1-1-12-1-1-100002i−2i−2i2i000000000000−iii−i0000-222-2-21-2-22-121-1-222-2-2221-1-11-2111-21112-1-1-12-1-1-12-1-1-12-1-1-1-2111-21110000−2i2i2i−2i000000000000i−i−ii0000
χ1302-2-222-122-21-2-112-2-222-2-2-111-12-1-1-12-1-1-1-2111-2111-2111-21112-1-1-12-1-1-10000−2i2i2i−2i000000000000i−i−ii0000-222-2-21-2-22-121-1-222-2-2221-1-11-2111-21112-1-1-12-1-1-12-1-1-12-1-1-1-2111-211100002i−2i−2i2i000000000000−iii−i0000
χ1312-2-22-12221-212-2-1-2-222-2-2-111-1-12-1-1-12-1-11-2111-2111-2111-211-12-1-1-12-1-1000000002-2-22000000000000-111-1-222-21-2-2-2-12-1-22122-2-2221-1-111-2111-211-12-1-1-12-1-1-12-1-1-12-1-11-2111-21100000000-222-20000000000001-1-11
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χ13344444-2−1+5−1−54-24-2-24−1+5−1−5−1+5−1−5−1+5−1−5-2-2-2-2−1+51−521−521−52−1−51+521+521+52−1+51−521−521−52−1−51+521+521+52−1+51−521−521−52−1−51+521+521+52−1+51−521−521−52−1−51+521+521+520000000000000000000000000000-4-4-4-4-421−51+5-42-422-41−51+51−51+51−51+522221−5−1+52−1+52−1+521+5−1−52−1−52−1−521−5−1+52−1+52−1+521+5−1−52−1−52−1−521−5−1+52−1+52−1+521+5−1−52−1−52−1−521−5−1+52−1+52−1+521+5−1−52−1−52−1−520000000000000000000000000000
χ13444444-2−1−5−1+54-24-2-24−1−5−1+5−1−5−1+5−1−5−1+5-2-2-2-2−1−51+521+521+52−1+51−521−521−52−1−51+521+521+52−1+51−521−521−52−1−51+521+521+52−1+51−521−521−52−1−51+521+521+52−1+51−521−521−520000000000000000000000000000-4-4-4-4-421+51−5-42-422-41+51−51+51−51+51−522221+5−1−52−1−52−1−521−5−1+52−1+52−1+521+5−1−52−1−52−1−521−5−1+52−1+52−1+521+5−1−52−1−52−1−521−5−1+52−1+52−1+521+5−1−52−1−52−1−521−5−1+52−1+52−1+520000000000000000000000000000
χ1354444-24−1+5−1−5-24-244-2−1+5−1−5−1+5−1−5−1+5−1−5-2-2-2-21−52−1+51−521−521+52−1−51+521+521−52−1+51−521−521+52−1−51+521+521−52−1+51−521−521+52−1−51+521+521−52−1+51−521−521+52−1−51+521+520000000000000000000000000000-4-4-4-42-41−51+52-42-4-421−51+51−51+51−51+52222−1+521−5−1+52−1+52−1−521+5−1−52−1−52−1+521−5−1+52−1+52−1−521+5−1−52−1−52−1+521−5−1+52−1+52−1−521+5−1−52−1−52−1+521−5−1+52−1+52−1−521+5−1−52−1−520000000000000000000000000000
χ1364444-24−1−5−1+5-24-244-2−1−5−1+5−1−5−1+5−1−5−1+5-2-2-2-21+52−1−51+521+521−52−1+51−521−521+52−1−51+521+521−52−1+51−521−521+52−1−51+521+521−52−1+51−521−521+52−1−51+521+521−52−1+51−521−520000000000000000000000000000-4-4-4-42-41+51−52-42-4-421+51−51+51−51+51−52222−1−521+5−1−52−1−52−1+521−5−1+52−1+52−1−521+5−1−52−1−52−1+521−5−1+52−1+52−1−521+5−1−52−1−52−1+521−5−1+52−1+52−1−521+5−1−52−1−52−1+521−5−1+52−1+520000000000000000000000000000
χ1374444-2-244-2-2-2-2-2-24444441111-2-211-2-211-2-211-2-211-2-211-2-211-2-211-2-2110000000000000000000000000000-4-4-4-422-4-4222222-4-4-4-4-4-4-1-1-1-122-1-122-1-122-1-122-1-122-1-122-1-122-1-122-1-10000000000000000000000000000
χ1384444-2-2−1+5−1−5-2-2-2-2-2-2−1+5−1−5−1+5−1−5−1+5−1−511111−521−52ζ6−2ζ14−2ζ6+ζ141+521+52−2ζ2+ζ18ζ2−2ζ181−521−52ζ6−2ζ14−2ζ6+ζ141+521+52−2ζ2+ζ18ζ2−2ζ181−521−52ζ6−2ζ14−2ζ6+ζ141+521+52−2ζ2+ζ18ζ2−2ζ181−521−52ζ6−2ζ14−2ζ6+ζ141+521+52−2ζ2+ζ18ζ2−2ζ180000000000000000000000000000-4-4-4-4221−51+52222221−51+51−51+51−51+5-1-1-1-1−1+52−1+52−ζ6+2ζ142ζ6−ζ14−1−52−1−522ζ2−ζ18−ζ2+2ζ18−1+52−1+52−ζ6+2ζ142ζ6−ζ14−1−52−1−522ζ2−ζ18−ζ2+2ζ18−1+52−1+52−ζ6+2ζ142ζ6−ζ14−1−52−1−522ζ2−ζ18−ζ2+2ζ18−1+52−1+52−ζ6+2ζ142ζ6−ζ14−1−52−1−522ζ2−ζ18−ζ2+2ζ180000000000000000000000000000
χ1394444-2-2−1+5−1−5-2-2-2-2-2-2−1+5−1−5−1+5−1−5−1+5−1−511111−521−52−2ζ6+ζ14ζ6−2ζ141+521+52ζ2−2ζ18−2ζ2+ζ181−521−52−2ζ6+ζ14ζ6−2ζ141+521+52ζ2−2ζ18−2ζ2+ζ181−521−52−2ζ6+ζ14ζ6−2ζ141+521+52ζ2−2ζ18−2ζ2+ζ181−521−52−2ζ6+ζ14ζ6−2ζ141+521+52ζ2−2ζ18−2ζ2+ζ180000000000000000000000000000-4-4-4-4221−51+52222221−51+51−51+51−51+5-1-1-1-1−1+52−1+522ζ6−ζ14−ζ6+2ζ14−1−52−1−52−ζ2+2ζ182ζ2−ζ18−1+52−1+522ζ6−ζ14−ζ6+2ζ14−1−52−1−52−ζ2+2ζ182ζ2−ζ18−1+52−1+522ζ6−ζ14−ζ6+2ζ14−1−52−1−52−ζ2+2ζ182ζ2−ζ18−1+52−1+522ζ6−ζ14−ζ6+2ζ14−1−52−1−52−ζ2+2ζ182ζ2−ζ180000000000000000000000000000
χ1404444-2-2−1−5−1+5-2-2-2-2-2-2−1−5−1+5−1−5−1+5−1−5−1+511111+521+52−2ζ2+ζ18ζ2−2ζ181−521−52−2ζ6+ζ14ζ6−2ζ141+521+52−2ζ2+ζ18ζ2−2ζ181−521−52−2ζ6+ζ14ζ6−2ζ141+521+52−2ζ2+ζ18ζ2−2ζ181−521−52−2ζ6+ζ14ζ6−2ζ141+521+52−2ζ2+ζ18ζ2−2ζ181−521−52−2ζ6+ζ14ζ6−2ζ140000000000000000000000000000-4-4-4-4221+51−52222221+51−51+51−51+51−5-1-1-1-1−1−52−1−522ζ2−ζ18−ζ2+2ζ18−1+52−1+522ζ6−ζ14−ζ6+2ζ14−1−52−1−522ζ2−ζ18−ζ2+2ζ18−1+52−1+522ζ6−ζ14−ζ6+2ζ14−1−52−1−522ζ2−ζ18−ζ2+2ζ18−1+52−1+522ζ6−ζ14−ζ6+2ζ14−1−52−1−522ζ2−ζ18−ζ2+2ζ18−1+52−1+522ζ6−ζ14−ζ6+2ζ140000000000000000000000000000
χ1414444-2-2−1−5−1+5-2-2-2-2-2-2−1−5−1+5−1−5−1+5−1−5−1+511111+521+52ζ2−2ζ18−2ζ2+ζ181−521−52ζ6−2ζ14−2ζ6+ζ141+521+52ζ2−2ζ18−2ζ2+ζ181−521−52ζ6−2ζ14−2ζ6+ζ141+521+52ζ2−2ζ18−2ζ2+ζ181−521−52ζ6−2ζ14−2ζ6+ζ141+521+52ζ2−2ζ18−2ζ2+ζ181−521−52ζ6−2ζ14−2ζ6+ζ140000000000000000000000000000-4-4-4-4221+51−52222221+51−51+51−51+51−5-1-1-1-1−1−52−1−52−ζ2+2ζ182ζ2−ζ18−1+52−1+52−ζ6+2ζ142ζ6−ζ14−1−52−1−52−ζ2+2ζ182ζ2−ζ18−1+52−1+52−ζ6+2ζ142ζ6−ζ14−1−52−1−52−ζ2+2ζ182ζ2−ζ18−1+52−1+52−ζ6+2ζ142ζ6−ζ14−1−52−1−52−ζ2+2ζ182ζ2−ζ18−1+52−1+52−ζ6+2ζ142ζ6−ζ140000000000000000000000000000
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χ1664-4-44-2-2−1+5−1−5222-22-21−51+5−1+5−1−51−51+51-1-111−521−52−2ζ6+ζ14ζ6−2ζ141+521+52ζ2−2ζ18−2ζ2+ζ18−1+52−1+522ζ6−ζ14−ζ6+2ζ14−1−52−1−52−ζ2+2ζ182ζ2−ζ18−1+52−1+522ζ6−ζ14−ζ6+2ζ14−1−52−1−52−ζ2+2ζ182ζ2−ζ181−521−52−2ζ6+ζ14ζ6−2ζ141+521+52ζ2−2ζ18−2ζ2+ζ180000000000000000000000000000-444-4221−51+5-2-2-22-22−1+5−1−51−51+5−1+5−1−5-111-1−1+52−1+522ζ6−ζ14−ζ6+2ζ14−1−52−1−52−ζ2+2ζ182ζ2−ζ181−521−52−2ζ6+ζ14ζ6−2ζ141+521+52ζ2−2ζ18−2ζ2+ζ181−521−52−2ζ6+ζ14ζ6−2ζ141+521+52ζ2−2ζ18−2ζ2+ζ18−1+52−1+522ζ6−ζ14−ζ6+2ζ14−1−52−1−52−ζ2+2ζ182ζ2−ζ180000000000000000000000000000
χ1674-4-44-2-2−1−5−1+5222-22-21+51−5−1−5−1+51+51−51-1-111+521+52−2ζ2+ζ18ζ2−2ζ181−521−52−2ζ6+ζ14ζ6−2ζ14−1−52−1−522ζ2−ζ18−ζ2+2ζ18−1+52−1+522ζ6−ζ14−ζ6+2ζ14−1−52−1−522ζ2−ζ18−ζ2+2ζ18−1+52−1+522ζ6−ζ14−ζ6+2ζ141+521+52−2ζ2+ζ18ζ2−2ζ181−521−52−2ζ6+ζ14ζ6−2ζ140000000000000000000000000000-444-4221+51−5-2-2-22-22−1−5−1+51+51−5−1−5−1+5-111-1−1−52−1−522ζ2−ζ18−ζ2+2ζ18−1+52−1+522ζ6−ζ14−ζ6+2ζ141+521+52−2ζ2+ζ18ζ2−2ζ181−521−52−2ζ6+ζ14ζ6−2ζ141+521+52−2ζ2+ζ18ζ2−2ζ181−521−52−2ζ6+ζ14ζ6−2ζ14−1−52−1−522ζ2−ζ18−ζ2+2ζ18−1+52−1+522ζ6−ζ14−ζ6+2ζ140000000000000000000000000000
χ1684-4-44-2-2−1−5−1+5222-22-21+51−5−1−5−1+51+51−51-1-111+521+52ζ2−2ζ18−2ζ2+ζ181−521−52ζ6−2ζ14−2ζ6+ζ14−1−52−1−52−ζ2+2ζ182ζ2−ζ18−1+52−1+52−ζ6+2ζ142ζ6−ζ14−1−52−1−52−ζ2+2ζ182ζ2−ζ18−1+52−1+52−ζ6+2ζ142ζ6−ζ141+521+52ζ2−2ζ18−2ζ2+ζ181−521−52ζ6−2ζ14−2ζ6+ζ140000000000000000000000000000-444-4221+51−5-2-2-22-22−1−5−1+51+51−5−1−5−1+5-111-1−1−52−1−52−ζ2+2ζ182ζ2−ζ18−1+52−1+52−ζ6+2ζ142ζ6−ζ141+521+52ζ2−2ζ18−2ζ2+ζ181−521−52ζ6−2ζ14−2ζ6+ζ141+521+52ζ2−2ζ18−2ζ2+ζ181−521−52ζ6−2ζ14−2ζ6+ζ14−1−52−1−52−ζ2+2ζ182ζ2−ζ18−1+52−1+52−ζ6+2ζ142ζ6−ζ140000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.