Finite Group Databasebeta

← Group #14301117

Character table — Group #14301117

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size11111111222222222222222222222222222244444444444444444444444444448888888888888888888888888888888888888812121212121212121212121212121212121212121212121220202020202020202020202020202020242424242424242430303030404040406060120120
order12222222344445566666661010101010101010101010101010121212121515202020202020202030303030303030303030303030302266661010101010101010303030303030303030303030303030306060606060606060444488884040404040404040404040404040404044448888242424242424242420202020202020204444121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ51111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1
χ61111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111
χ71111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ81111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ9111-11-1-1-111-11-11111-1-1-11-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i1111-1-1-1-1ii−i−iii−i−ii−ii−i
χ10111-11-1-1-111-11-11111-1-1-11-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii1111-1-1-1-1−i−iii−i−iii−ii−ii
χ11111-11-1-1-111-11-11111-1-1-11-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111ii−i−iii−i−iiiii−i−i−i−i-1-1-1-11111−i−iiiii−i−i−ii−ii
χ12111-11-1-1-111-11-11111-1-1-11-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111−i−iii−i−iii−i−i−i−iiiii-1-1-1-11111ii−i−i−i−iiii−ii−i
χ13111-11-1-1-111-11-11111-1-1-11-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111ii−i−i−i−iii−i−i−i−iiiii1111-1-1-1-1ii−i−iii−i−ii−i−ii
χ14111-11-1-1-111-11-11111-1-1-11-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111−i−iiiii−i−iiiii−i−i−i−i1111-1-1-1-1−i−iii−i−iii−iii−i
χ15111-11-1-1-111-11-11111-1-1-11-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1ii−i−i−i−iii−i−i−i−iiiii-1-1-1-11111−i−iiiii−i−i−iii−i
χ16111-11-1-1-111-11-11111-1-1-11-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1−i−iiiii−i−iiiii−i−i−i−i-1-1-1-11111ii−i−i−i−iiii−i−ii
χ172222222222222−1−52−1+522222222−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+520000000000000000−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000
χ182222222222222−1−52−1+522222222−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2-2-21+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5200000000000000001+521+521−521−521+521+521−521−52000000000000
χ192222222222222−1−52−1+522222222−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52-2-2-2-2-2-21+521+521−521−521+521+521−521−521+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+522222-2-2-2-21+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−520000000000000000−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000
χ202222222222222−1−52−1+522222222−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52-2-2-2-2-2-21+521+521−521−521+521+521−521−521+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+52-2-2-2-22222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000000000001+521+521−521−521+521+521−521−52000000000000
χ212222222222222−1+52−1−522222222−1+52−1+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+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+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+52−1−52−1−52−1−52−1−520000000000000000−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000
χ222222222222222−1+52−1−522222222−1+52−1+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+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5200000000000000001−521−521+521+521−521−521+521+52000000000000
χ232222222222222−1+52−1−522222222−1+52−1+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+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52-2-2-2-2-2-21−521−521+521+521−521−521+521+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+52−1−52−1−522222-2-2-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+520000000000000000−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000
χ242222222222222−1+52−1−522222222−1+52−1+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+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52-2-2-2-2-2-21−521−521+521+521−521−521+521+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+52−1−52−1−52-2-2-2-22222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000000000001−521−521+521+521−521−521+521+52000000000000
χ25222222222-2-2-2-222222222222222222222222-2-2-2-222-2-2-2-2-2-2-2-222222222222222000000000000000000000000000000-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000022220000-2-200
χ26222222222-2-2-2-222222222222222222222222-2-2-2-222-2-2-2-2-2-2-2-222222222222222000000000000000000000000000000-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000-2-2-2-200002200
χ2722222222-1222222-1-1-1-1-1-1-122222222222222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000022222222-1-1-1-1-1-1-1-1000000000000-1-1-1-10000
χ2822222222-1222222-1-1-1-1-1-1-122222222222222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-2-2-2-2-21111111100000000000011110000
χ2922222222-1222222-1-1-1-1-1-1-122222222222222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2-2-2-2-2-2-21111111111111111-1-1-1-1-1-1-1-10000000000000000000000002222-2-2-2-211111111000000000000-1-1-1-10000
χ3022222222-1222222-1-1-1-1-1-1-122222222222222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2-2-2-2-2-2-21111111111111111-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-22222-1-1-1-1-1-1-1-100000000000011110000
χ31222-22-2-2-222-22-2−1−52−1+5222-2-2-22-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1+5222-2-2−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1+522-222-2-2−1−52−1−52−1+52−1+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+521+521+521−521−5222-2-222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−520000000000000000−1−52−1−52−1+52−1+521+521+521−521−52000000000000
χ32222-22-2-2-222-22-2−1−52−1+5222-2-2-22-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1+5222-2-2−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1+522-222-2-2−1−52−1−52−1+52−1+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+521+521+521−521−52-2-222-2-2221+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000000000001+521+521−521−52−1−52−1−52−1+52−1+52000000000000
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χ34222-22-2-2-222-22-2−1−52−1+5222-2-2-22-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1+5222-2-2−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1+52-22-2-2221+521+521−521−52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+521+521+521−521−52-2-22222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−5200000000000000001+521+521−521−52−1−52−1−52−1+52−1+52000000000000
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χ1414-4-444-4-44-2-4-444−1−5−1+522-2-22-221+51+51−51−5−1−51+5−1−51+5−1+51−5−1+51−5−1−5−1+52-22-21+521−521+51−51+5−1−51−5−1+5−1−5−1+5−1−52−1−52−1+52−1+521+52−1−521+52−1−521−52−1+521−52−1+521+521−520000002ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ1162ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116−1−521+52−1+521−52−1−521+52−1+521−52000000000000000000000000000000000000000000000000000000000000
χ1424-4-444-4-44-2-4-444−1+5−1−522-2-22-221−51−51+51+5−1+51−5−1+51−5−1−51+5−1−51+5−1+5−1−52-22-21−521+521−51+51−5−1+51+5−1−5−1+5−1−5−1+52−1+52−1−52−1−521−52−1+521−52−1+521+52−1−521+52−1−521−521+520000002ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1162ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ922ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1162ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92−1+521−52−1−521+52−1+521−52−1−521+52000000000000000000000000000000000000000000000000000000000000
χ1434-4-444-4-44-2-4-444−1+5−1−522-2-22-221−51−51+51+5−1+51−5−1+51−5−1−51+5−1−51+5−1+5−1−52-22-21−521+521−51+51−5−1+51+5−1−5−1+5−1−5−1+52−1+52−1−52−1−521−52−1+521−52−1+521+52−1−521+52−1−521−521+52000000−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ92−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ92ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92−1+521−52−1−521+52−1+521−52−1−521+52000000000000000000000000000000000000000000000000000000000000
χ1444-4-4-4444-444-4-44−1−5−1+5-4-4-4-44441+51+51−51−51+5−1−51+5−1−51−5−1+51−5−1+5−1−5−1+54-4-44−1−5−1+5−1−5−1+51+5−1−51−5−1+51+51−51+51+51−51−51+5−1−51+5−1−51−5−1+51−5−1+5−1−5−1+5000000000000000000000000000000−1−51+5−1+51−51+5−1−51−5−1+5000000000000000000000000000000000000000000000000000000000000
χ1454-4-4-4444-444-4-44−1+5−1−5-4-4-4-44441−51−51+51+51−5−1+51−5−1+51+5−1−51+5−1−5−1+5−1−54-4-44−1+5−1−5−1+5−1−51−5−1+51+5−1−51−51+51−51−51+51+51−5−1+51−5−1+51+5−1−51+5−1−5−1+5−1−5000000000000000000000000000000−1+51−5−1−51+51−5−1+51+5−1−5000000000000000000000000000000000000000000000000000000000000
χ1464-4-4-4444-4-24-4-44−1−5−1+52222-2-2-21+51+51−51−51+5−1−51+5−1−51−5−1+51−5−1+5−1−5−1+5-222-21+521−52−1−5−1+51+5−1−51−5−1+51+51−5−1−52−1−52−1+52−1+52−1−521+52−1−521+52−1+521−52−1+521−521+521−5200−2i32i32i3−2i300000000ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ92ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ92−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ1161+52−1−521−52−1+52−1−521+52−1+521−52000000000000000000000000000000000000000000000000000000000000
χ1474-4-4-4444-4-24-4-44−1−5−1+52222-2-2-21+51+51−51−51+5−1−51+5−1−51−5−1+51−5−1+5−1−5−1+5-222-21+521−52−1−5−1+51+5−1−51−5−1+51+51−5−1−52−1−52−1+52−1+52−1−521+52−1−521+52−1+521−52−1+521−521+521−52002i3−2i3−2i32i300000000−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ92−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ116ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ92ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ1161+52−1−521−52−1+52−1−521+52−1+521−52000000000000000000000000000000000000000000000000000000000000
χ1484-4-4-4444-4-24-4-44−1+5−1−52222-2-2-21−51−51+51+51−5−1+51−5−1+51+5−1−51+5−1−5−1+5−1−5-222-21−521+52−1+5−1−51−5−1+51+5−1−51−51+5−1+52−1+52−1−52−1−52−1+521−52−1+521−52−1−521+52−1−521+521−521+5200−2i32i32i3−2i300000000ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ92−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ116−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ921−52−1+521+52−1−52−1+521−52−1−521+52000000000000000000000000000000000000000000000000000000000000
χ1494-4-4-4444-4-24-4-44−1+5−1−52222-2-2-21−51−51+51+51−5−1+51−5−1+51+5−1−51+5−1−5−1+5−1−5-222-21−521+52−1+5−1−51−5−1+51+5−1−51−51+5−1+52−1+52−1−52−1−52−1+521−52−1+521−52−1−521+52−1−521+521−521+52002i3−2i3−2i32i300000000−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ116−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ92ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ921−52−1+521+52−1−52−1+521−52−1−521+52000000000000000000000000000000000000000000000000000000000000
χ1504-4-4-4444-4-2-444-4442222-2-2-2-4-4-4-4-44-44-44-44442-2-22-2-2-4-44-44-44422222-22-22-22-2-2-20000000000000000000000000000002-22-2-22-22000000000000000000000000000000000000000000000000000000000000
χ1514-4-4-4444-4-2-444-4−1−5−1+52222-2-2-21+51+51−51−51+5−1−51+5−1−51−5−1+51−5−1+5−1−5−1+52-2-221+521−521+51−5−1−51+5−1+51−5−1−5−1+5−1−52−1−52−1+52−1+52−1−521+52−1−521+52−1+521−52−1+521−521+521−52000000−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ922ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1162ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116−1−521+52−1+521−521+52−1−521−52−1+52000000000000000000000000000000000000000000000000000000000000
χ1524-4-4-4444-4-2-444-4−1−5−1+52222-2-2-21+51+51−51−51+5−1−51+5−1−51−5−1+51−5−1+5−1−5−1+52-2-221+521−521+51−5−1−51+5−1+51−5−1−5−1+5−1−52−1−52−1+52−1+52−1−521+52−1−521+52−1+521−52−1+521−521+521−520000002ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ922ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ116−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−1−521+52−1+521−521+52−1−521−52−1+52000000000000000000000000000000000000000000000000000000000000
χ1534-4-4-4444-4-2-444-4−1+5−1−52222-2-2-21−51−51+51+51−5−1+51−5−1+51+5−1−51+5−1−5−1+5−1−52-2-221−521+521−51+5−1+51−5−1−51+5−1+5−1−5−1+52−1+52−1−52−1−52−1+521−52−1+521−52−1−521+52−1−521+521−521+520000002ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1162ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ92−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92−1+521−52−1−521+521−52−1+521+52−1−52000000000000000000000000000000000000000000000000000000000000
χ1544-4-4-4444-4-2-444-4−1+5−1−52222-2-2-21−51−51+51+51−5−1+51−5−1+51+5−1−51+5−1−5−1+5−1−52-2-221−521+521−51+5−1+51−5−1−51+5−1+5−1−5−1+52−1+52−1−52−1−52−1+521−52−1+521−52−1−521+52−1−521+521−521+52000000−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ922ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1162ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92−1+521−52−1−521+521−52−1+521+52−1−52000000000000000000000000000000000000000000000000000000000000
χ15588-88-8-88-8-40000−2−25−2+25-44-4444-4−2−252+25−2+252−25−2−25−2−252+252+25−2+25−2+252−252−252+252−2500001+51−5000000001+5−1−51−5−1+51+51+5−1−5−1−51−51−5−1+5−1+5−1−5−1+500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ15688-88-8-88-8-40000−2+25−2−25-44-4444-4−2+252−25−2−252+25−2+25−2+252−252−25−2−25−2−252+252+252−252+2500001−51+5000000001−5−1+51+5−1−51−51−5−1+5−1+51+51+5−1−5−1−5−1+5−1−500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ15788-8-8-88-88-40000−2−25−2+25-444-4-444−2−252+25−2+252−252+252+25−2−25−2−252−252−25−2+25−2+252+252−2500001+51−5000000001+5−1−51−5−1+5−1−5−1−51+51+5−1+5−1+51−51−5−1−5−1+500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ15888-8-8-88-88-40000−2+25−2−25-444-4-444−2+252−25−2−252+252−252−25−2+25−2+252+252+25−2−25−2−252−252+2500001−51+5000000001−5−1+51+5−1−5−1+5−1+51−51−5−1−5−1−51+51+5−1+5−1−500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1598-888-88-8-8-40000−2−25−2+254-4-44-4442+25−2−252−25−2+25−2−252+252+25−2−25−2+252−252−25−2+252+252−2500001+51−500000000−1−51+5−1+51−51+5−1−5−1−51+51−5−1+5−1+51−5−1−5−1+500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1608-888-88-8-8-40000−2+25−2−254-4-44-4442−25−2+252+25−2−25−2+252−252−25−2+25−2−252+252+25−2−252−252+2500001−51+500000000−1+51−5−1−51+51−5−1+5−1+51−51+5−1−5−1−51+5−1+5−1−500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1618-88-8-8-888-40000−2−25−2+254-44-444-42+25−2−252−25−2+252+25−2−25−2−252+252−25−2+25−2+252−252+252−2500001+51−500000000−1−51+5−1+51−5−1−51+51+5−1−5−1+51−51−5−1+5−1−5−1+500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1628-88-8-8-888-40000−2+25−2−254-44-444-42−25−2+252+25−2−252−25−2+25−2+252−252+25−2−25−2−252+252−252+2500001−51+500000000−1+51−5−1−51+5−1+51−51−5−1+5−1−51+51+5−1−5−1+5−1−500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.