Finite Group Databasebeta

← Group #13087047

Character table — Group #13087047

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150
size111122222222222222222222222222222222224444444444444444444444444444444444444444444444444444444444444444444444441818181818181818181818181818181818181818202020202020202020202020202020202020180180
order122222333355666666666666101010101010101010101010101066666666151515151515151530303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030302222101010101010101010101010101010102466666666121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ51111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-11-1
χ61111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-11
χ71111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-111111111-1-1-1-1-1-1-1-1-11
χ81111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-11-1-1-1-1-1-1-1-1111111111-1
χ92222222222−1+52−1−52222222222222−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222222222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000000000000000
χ102222222222−1+52−1−52222222222222−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222222222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52-2-2-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5200000000000000000000
χ112222222222−1−52−1+52222222222222−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222222222−1−52−1−52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+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+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+5200000000000000000000
χ122222222222−1−52−1+52222222222222−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222222222−1−52−1−52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+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+52-2-2-2-21+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5200000000000000000000
χ132222222-1-1-12222-1-1-1-1-1-12-1-1-12222222222222222-1-1-1-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000002222-1-1-1-1-1-122-1-1-1-1-1-100
χ142222222-1-1-12222-1-1-1-1-1-12-1-1-12222222222222222-1-1-1-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000-2-2-2-2111111-2-211111100
χ15222222-12-1-122-1-122-1-1-1-1-12-1-122222222222222-1-122-1-1-1-1-12-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000000022-1-122-1-1-1-1-1-122-1-1-1-100
χ16222222-12-1-122-1-122-1-1-1-1-12-1-122222222222222-1-122-1-1-1-1-12-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000000000000000-2-211-2-2111111-2-2111100
χ17222222-1-12-122-1-1-1-122-1-1-1-12-122222222222222-1-1-1-122-1-1-1-12-1-1-12-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-10000000000000000000022-1-1-1-122-1-1-1-1-1-122-1-100
χ18222222-1-12-122-1-1-1-122-1-1-1-12-122222222222222-1-1-1-122-1-1-1-12-1-1-12-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-100000000000000000000-2-21111-2-2111111-2-21100
χ19222222-1-1-1222-1-1-1-1-1-122-1-1-1222222222222222-1-1-1-1-1-122-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000000000000000000022-1-1-1-1-1-122-1-1-1-1-1-12200
χ20222222-1-1-1222-1-1-1-1-1-122-1-1-1222222222222222-1-1-1-1-1-122-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222200000000000000000000-2-2111111-2-2111111-2-200
χ212222-2-22222−1+52−1−52222222222222−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-2-2-2-2-2-2-2-2−1+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+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+5222-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+5200000000000000000000
χ222222-2-22222−1+52−1−52222222222222−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-2-2-2-2-2-2-2-2−1+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+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+52-2-2221−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000000000000000
χ232222-2-22222−1−52−1+52222222222222−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-2-2-2-2-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+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+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−5222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−5200000000000000000000
χ242222-2-22222−1−52−1+52222222222222−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-2-2-2-2-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+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+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−52-2-2221+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000000000000000
χ252222-2-22-1-1-12222-1-1-1-1-1-12-1-1-1222222-2-2-2-2-2-2-2-2-2-21111112-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111000000000000000000002-222-1-1-1-1-1-1-2-211111100
χ262222-2-22-1-1-12222-1-1-1-1-1-12-1-1-1222222-2-2-2-2-2-2-2-2-2-21111112-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-211111111111100000000000000000000-22-2-211111122-1-1-1-1-1-100
χ272222-2-2-12-1-122-1-122-1-1-1-1-12-1-1222222-2-2-2-2-2-2-2-211-2-21111-12-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111000000000000000000002-2-1-122-1-1-1-111-2-2111100
χ282222-2-2-12-1-122-1-122-1-1-1-1-12-1-1222222-2-2-2-2-2-2-2-211-2-21111-12-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-21111111100000000000000000000-2211-2-21111-1-122-1-1-1-100
χ292222-2-2-1-12-122-1-1-1-122-1-1-1-12-1222222-2-2-2-2-2-2-2-21111-2-211-1-12-1-1-12-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-111111111-2-2-2-2111111111111-2-2-2-21111000000000000000000002-2-1-1-1-122-1-11111-2-21100
χ302222-2-2-1-12-122-1-1-1-122-1-1-1-12-1222222-2-2-2-2-2-2-2-21111-2-211-1-12-1-1-12-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-111111111-2-2-2-2111111111111-2-2-2-2111100000000000000000000-221111-2-211-1-1-1-122-1-100
χ312222-2-2-1-1-1222-1-1-1-1-1-122-1-1-12222222-2-2-2-2-2-2-2-2111111-2-2-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222111111111111-2-2-2-2111111111111-2-2-2-2000000000000000000002-2-1-1-1-1-1-122111111-2-200
χ322222-2-2-1-1-1222-1-1-1-1-1-122-1-1-12222222-2-2-2-2-2-2-2-2111111-2-2-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222111111111111-2-2-2-2111111111111-2-2-2-200000000000000000000-22111111-2-2-1-1-1-1-1-12200
χ3322-2-22-2222222-2-2-2-2-2-2-2-222222-2-22-2-222-2-222-2-22-22-22-22-2222222222-2-22-2-22-2-22-2-22-2-22-2-22-2-22-2-222-2-222-2-222-2-222-2-222-2-222-2-222-2-222-2-20000000000000000000000000000000000000000
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χ1404-4-4400-24-2-2−1−5−1+52-2-442-22-22-4221+51+5−1−51−51−5−1+52ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ14−2ζ+2ζ4−2ζ11+2ζ142ζ−2ζ4+2ζ11−2ζ142ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ13−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ13000000001+52−1−51+521+521−52−1+51−521−52−1−52−1−521+521+51+5−1−5−1−52−1−521+52−1−52−1−521+52−1+52−1+521−521−51−5−1+5−1+52−1+521−52−1+52−1+521−52−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ142ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ14−2ζ+2ζ4−2ζ11+2ζ142ζ−2ζ4+2ζ11−2ζ14−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ132ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ13−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ13−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ130000000000000000000000000000000000000000
χ1414-4-4400-2-24-2442-22-2-442-222-42-4-44-4-440000000000000000-2-24-2-2-24-222-222-2-4-4422-222-222-2-4-4422-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1424-4-4400-2-24-2−1+5−1−52-22-2-442-222-421−51−5−1+51+51+5−1−52ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ13−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ13−2ζ+2ζ4−2ζ11+2ζ142ζ−2ζ4+2ζ11−2ζ142ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ14000000001−521−52−1+51−521+521+52−1−51+52−1+52−1+521−52−1+52−1+521−521−51−5−1+5−1+52−1+521−52−1−52−1−521+52−1−52−1−521+521+51+5−1−5−1−52−1−521+52−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ132ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ13−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ13−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14−2ζ+2ζ4−2ζ11+2ζ142ζ−2ζ4+2ζ11−2ζ142ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ14ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ140000000000000000000000000000000000000000
χ1434-4-4400-2-24-2−1+5−1−52-22-2-442-222-421−51−5−1+51+51+5−1−5−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ132ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ132ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ14−2ζ+2ζ4−2ζ11+2ζ142ζ−2ζ4+2ζ11−2ζ14000000001−521−52−1+51−521+521+52−1−51+52−1+52−1+521−52−1+52−1+521−521−51−5−1+5−1+52−1+521−52−1−52−1−521+52−1−52−1−521+521+51+5−1−5−1−52−1−521+52ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ132ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ13ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ142ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ14−2ζ+2ζ4−2ζ11+2ζ142ζ−2ζ4+2ζ11−2ζ14−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ140000000000000000000000000000000000000000
χ1444-4-4400-2-24-2−1−5−1+52-22-2-442-222-421+51+5−1−51−51−5−1+5−2ζ+2ζ4−2ζ11+2ζ142ζ−2ζ4+2ζ11−2ζ142ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ14−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ132ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ13000000001+521+52−1−51+521−521−52−1+51−52−1−52−1−521+52−1−52−1−521+521+51+5−1−5−1−52−1−521+52−1+52−1+521−52−1+52−1+521−521−51−5−1+5−1+52−1+521−52ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14−2ζ+2ζ4−2ζ11+2ζ142ζ−2ζ4+2ζ11−2ζ142ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ14ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ132ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ13ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ130000000000000000000000000000000000000000
χ1454-4-4400-2-24-2−1−5−1+52-22-2-442-222-421+51+5−1−51−51−5−1+52ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ14−2ζ+2ζ4−2ζ11+2ζ142ζ−2ζ4+2ζ11−2ζ142ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ13−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ13000000001+521+52−1−51+521−521−52−1+51−52−1−52−1−521+52−1−52−1−521+521+51+5−1−5−1−52−1−521+52−1+52−1+521−52−1+52−1+521−521−51−5−1+5−1+52−1+521−52−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ142ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ14−2ζ+2ζ4−2ζ11+2ζ142ζ−2ζ4+2ζ11−2ζ14−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ132ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ13−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ13−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ130000000000000000000000000000000000000000
χ1464-4-4400-2-2-24442-22-22-2-44222-4-4-44-4-440000000000000000-2-2-24-2-2-2422-222-222-2-4-4422-222-222-2-4-44000000000000000000000000000000000000000000000000000000000000000000000000
χ1474-4-4400-2-2-24−1+5−1−52-22-22-2-44222-41−51−5−1+51+51+5−1−52ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ13−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ13−2ζ+2ζ4−2ζ11+2ζ142ζ−2ζ4+2ζ11−2ζ142ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ14000000001−521−521−52−1+51+521+521+52−1−5−1+52−1+521−52−1+52−1+521−52−1+52−1+521−521−51−5−1+5−1−52−1−521+52−1−52−1−521+52−1−52−1−521+521+51+5−1−5−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ132ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ13−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ13ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14−2ζ+2ζ4−2ζ11+2ζ142ζ−2ζ4+2ζ11−2ζ142ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ140000000000000000000000000000000000000000
χ1484-4-4400-2-2-24−1+5−1−52-22-22-2-44222-41−51−5−1+51+51+5−1−5−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ132ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ132ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ14−2ζ+2ζ4−2ζ11+2ζ142ζ−2ζ4+2ζ11−2ζ14000000001−521−521−52−1+51+521+521+52−1−5−1+52−1+521−52−1+52−1+521−52−1+52−1+521−521−51−5−1+5−1−52−1−521+52−1−52−1−521+52−1−52−1−521+521+51+5−1−5ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ132ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ13−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ142ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ14−2ζ+2ζ4−2ζ11+2ζ142ζ−2ζ4+2ζ11−2ζ140000000000000000000000000000000000000000
χ1494-4-4400-2-2-24−1−5−1+52-22-22-2-44222-41+51+5−1−51−51−5−1+5−2ζ+2ζ4−2ζ11+2ζ142ζ−2ζ4+2ζ11−2ζ142ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ14−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ132ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ13000000001+521+521+52−1−51−521−521−52−1+5−1−52−1−521+52−1−52−1−521+52−1−52−1−521+521+51+5−1−5−1+52−1+521−52−1+52−1+521−52−1+52−1+521−521−51−5−1+5ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14−2ζ+2ζ4−2ζ11+2ζ142ζ−2ζ4+2ζ11−2ζ142ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ14ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ132ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ130000000000000000000000000000000000000000
χ1504-4-4400-2-2-24−1−5−1+52-22-22-2-44222-41+51+5−1−51−51−5−1+52ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ14−2ζ+2ζ4−2ζ11+2ζ142ζ−2ζ4+2ζ11−2ζ142ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ13−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ13000000001+521+521+52−1−51−521−521−52−1+5−1−52−1−521+52−1−52−1−521+52−1−52−1−521+521+51+5−1−5−1+52−1+521−52−1+52−1+521−52−1+52−1+521−521−51−5−1+5−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ142ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ14−2ζ+2ζ4−2ζ11+2ζ142ζ−2ζ4+2ζ11−2ζ14−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ132ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ13−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ130000000000000000000000000000000000000000

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