Finite Group Databasebeta

← Group #14412137

Character table — Group #14412137

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150
size112222222224444444444444444444888888888888888888121212121515202020202424242424242424303030404040406060112222222224444444444444444444888888888888888888121212121515202020202424242424242424303030404040406060
order12234455610104461010121215152020202030303030303012122020202060606060606060606060606088884488884040404040404040224242424242222264410106101044610101212303020202020303030303030121220202020606060606060606060606060888844888840404040404040402242424242422
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ511111111111-1-111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-111111-1-1-1-111111111111-1-111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-111111-1-1-1-1
χ611111111111-1-111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111111111111111-1-111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11111
χ711111111111-1-111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111111-1-111-1-111111111111-1-111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111111-1-111-1-1
χ811111111111-1-111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-111-1-11111111111111-1-111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-111-1-111
χ91111-1-1111111-1111-1-111-1-1-1-11111111-111-1-1-1-1-1-11111-1-1-1-1i−ii−i11i−ii−iii−i−iii−i−i-1-11i−ii−i1-11111-1-1111111-1111-1-111-1-1-1-11111111-111-1-1-1-1-1-11111-1-1-1-1i−ii−i11i−ii−iii−i−iii−i−i-1-11i−ii−i1-1
χ101111-1-1111111-1111-1-111-1-1-1-11111111-111-1-1-1-1-1-11111-1-1-1-1i−ii−i-1-1−ii−iiii−i−iii−i−i11-1−ii−ii-111111-1-1111111-1111-1-111-1-1-1-11111111-111-1-1-1-1-1-11111-1-1-1-1i−ii−i-1-1−ii−iiii−i−iii−i−i11-1−ii−ii-11
χ111111-1-1111111-1111-1-111-1-1-1-11111111-111-1-1-1-1-1-11111-1-1-1-1−ii−ii11−ii−ii−i−iii−i−iii-1-11−ii−ii1-11111-1-1111111-1111-1-111-1-1-1-11111111-111-1-1-1-1-1-11111-1-1-1-1−ii−ii11−ii−ii−i−iii−i−iii-1-11−ii−ii1-1
χ121111-1-1111111-1111-1-111-1-1-1-11111111-111-1-1-1-1-1-11111-1-1-1-1−ii−ii-1-1i−ii−i−i−iii−i−iii11-1i−ii−i-111111-1-1111111-1111-1-111-1-1-1-11111111-111-1-1-1-1-1-11111-1-1-1-1−ii−ii-1-1i−ii−i−i−iii−i−iii11-1i−ii−i-11
χ131111-1-111111-11111-1-111-1-1-1-1111111-11-1-111-1-1-1-1-1-1-1-11111i−i−ii11i−i−iiii−i−i−i−iii-1-11i−i−ii-111111-1-111111-11111-1-111-1-1-1-1111111-11-1-111-1-1-1-1-1-1-1-11111i−i−ii11i−i−iiii−i−i−i−iii-1-11i−i−ii-11
χ141111-1-111111-11111-1-111-1-1-1-1111111-11-1-111-1-1-1-1-1-1-1-11111i−i−ii-1-1−iii−iii−i−i−i−iii11-1−iii−i1-11111-1-111111-11111-1-111-1-1-1-1111111-11-1-111-1-1-1-1-1-1-1-11111i−i−ii-1-1−iii−iii−i−i−i−iii11-1−iii−i1-1
χ151111-1-111111-11111-1-111-1-1-1-1111111-11-1-111-1-1-1-1-1-1-1-11111−iii−i11−iii−i−i−iiiii−i−i-1-11−iii−i-111111-1-111111-11111-1-111-1-1-1-1111111-11-1-111-1-1-1-1-1-1-1-11111−iii−i11−iii−i−i−iiiii−i−i-1-11−iii−i-11
χ161111-1-111111-11111-1-111-1-1-1-1111111-11-1-111-1-1-1-1-1-1-1-11111−iii−i-1-1i−i−ii−i−iiiii−i−i11-1i−i−ii1-11111-1-111111-11111-1-111-1-1-1-1111111-11-1-111-1-1-1-1-1-1-1-11111−iii−i-1-1i−i−ii−i−iiiii−i−i11-1i−i−ii1-1
χ17222222−1−52−1+522−1−52−1+52222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000222222−1−52−1+522−1−52−1+52222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000
χ18222222−1−52−1+522−1−52−1+52222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-20000001+521−521+521−521+521−521+521−52000000000222222−1−52−1+522−1−52−1+52222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-20000001+521−521+521−521+521−521+521−52000000000
χ19222222−1−52−1+522−1−52−1+52-2-22−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-21+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5222-2-2000000−1−52−1+52−1−52−1+521+521−521+521−52000000000222222−1−52−1+522−1−52−1+52-2-22−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-21+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5222-2-2000000−1−52−1+52−1−52−1+521+521−521+521−52000000000
χ20222222−1−52−1+522−1−52−1+52-2-22−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-21+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52-2-2220000001+521−521+521−52−1−52−1+52−1−52−1+52000000000222222−1−52−1+522−1−52−1+52-2-22−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-21+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52-2-2220000001+521−521+521−52−1−52−1+52−1−52−1+52000000000
χ21222222−1+52−1−522−1+52−1−52222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000222222−1+52−1−522−1+52−1−52222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000
χ22222222−1+52−1−522−1+52−1−52222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-20000001−521+521−521+521−521+521−521+52000000000222222−1+52−1−522−1+52−1−52222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-20000001−521+521−521+521−521+521−521+52000000000
χ23222222−1+52−1−522−1+52−1−52-2-22−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-21−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5222-2-2000000−1+52−1−52−1+52−1−521−521+521−521+52000000000222222−1+52−1−522−1+52−1−52-2-22−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-21−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5222-2-2000000−1+52−1−52−1+52−1−521−521+521−521+52000000000
χ24222222−1+52−1−522−1+52−1−52-2-22−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-21−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52-2-2220000001−521+521−521+52−1+52−1−52−1+52−1−52000000000222222−1+52−1−522−1+52−1−52-2-22−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-21−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52-2-2220000001−521+521−521+52−1+52−1−52−1+52−1−52000000000
χ252222-2-2−1−52−1+522−1−52−1+522-22−1−52−1+52-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+522-2−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−522i−2i2i−2i000000−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ470000000002222-2-2−1−52−1+522−1−52−1+522-22−1−52−1+52-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+522-2−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−522i−2i2i−2i000000−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47000000000
χ262222-2-2−1−52−1+522−1−52−1+522-22−1−52−1+52-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+522-2−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−2i2i−2i2i000000ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ470000000002222-2-2−1−52−1+522−1−52−1+522-22−1−52−1+52-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+522-2−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−2i2i−2i2i000000ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47000000000
χ272222-2-2−1−52−1+522−1−52−1+52-222−1−52−1+52-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52-221+521−52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+522i−2i−2i2i000000−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ470000000002222-2-2−1−52−1+522−1−52−1+52-222−1−52−1+52-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52-221+521−52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+522i−2i−2i2i000000−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47000000000
χ282222-2-2−1−52−1+522−1−52−1+52-222−1−52−1+52-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52-221+521−52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−2i2i2i−2i000000ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ470000000002222-2-2−1−52−1+522−1−52−1+52-222−1−52−1+52-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52-221+521−52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−2i2i2i−2i000000ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47000000000
χ292222-2-2−1+52−1−522−1+52−1−522-22−1+52−1−52-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−522-2−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+522i−2i2i−2i000000−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ590000000002222-2-2−1+52−1−522−1+52−1−522-22−1+52−1−52-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−522-2−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+522i−2i2i−2i000000−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59000000000
χ302222-2-2−1+52−1−522−1+52−1−522-22−1+52−1−52-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−522-2−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−2i2i−2i2i000000ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ590000000002222-2-2−1+52−1−522−1+52−1−522-22−1+52−1−52-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−522-2−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−2i2i−2i2i000000ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59000000000
χ312222-2-2−1+52−1−522−1+52−1−52-222−1+52−1−52-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52-221−521+52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−522i−2i−2i2i000000−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ590000000002222-2-2−1+52−1−522−1+52−1−52-222−1+52−1−52-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52-221−521+52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−522i−2i−2i2i000000−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59000000000
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χ1012222-2-2−1−52−1+522−1−52−1+522-22−1−52−1+52-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+522-2−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−2i2i−2i2i000000ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47000000000-2-2-2-2221+521−52-21+521−52-22-21+521−52221+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521−52-221+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+522i−2i2i−2i000000−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47000000000
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χ1032222-2-2−1−52−1+522−1−52−1+52-222−1−52−1+52-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52-221+521−52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−2i2i2i−2i000000ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47000000000-2-2-2-2221+521−52-21+521−522-2-21+521−52221+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521−522-2−1−52−1+521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−522i−2i−2i2i000000−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47000000000
χ1042222-2-2−1+52−1−522−1+52−1−522-22−1+52−1−52-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−522-2−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+522i−2i2i−2i000000−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59000000000-2-2-2-2221−521+52-21−521+52-22-21−521+52221−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521+52-221−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−2i2i−2i2i000000ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59000000000
χ1052222-2-2−1+52−1−522−1+52−1−522-22−1+52−1−52-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−522-2−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−2i2i−2i2i000000ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59000000000-2-2-2-2221−521+52-21−521+52-22-21−521+52221−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521+52-221−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−522i−2i2i−2i000000−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59000000000
χ1062222-2-2−1+52−1−522−1+52−1−52-222−1+52−1−52-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52-221−521+52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−522i−2i−2i2i000000−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59000000000-2-2-2-2221−521+52-21−521+522-2-21−521+52221−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521+522-2−1+52−1−521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−2i2i2i−2i000000ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59000000000
χ1072222-2-2−1+52−1−522−1+52−1−52-222−1+52−1−52-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52-221−521+52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−2i2i2i−2i000000ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59000000000-2-2-2-2221−521+52-21−521+522-2-21−521+52221−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521+522-2−1+52−1−521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+522i−2i−2i2i000000−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59000000000
χ108222-12222-12222-122-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000222200000000000-1-1-1-100-2-2-21-2-2-2-21-2-2-2-21-2-21111-2-2-2-211111111-2-2-2-2111111111111000000-2-2-2-200000000000111100
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χ13344-4-24-4−1−5−1+5-2−1−5−1+50021+51−5-221+521−52−1−51+5−1+51−5−1−52−1−52−1+52−1+521+521−520000001+52−1−521−52−1+52ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58000000000000000000000000000-4-442-441+51−521+51−500-2−1−5−1+52-2−1−52−1+521+5−1−51−5−1+51+521+521−521−52−1−52−1+52000000−1−521+52−1+521−52−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58000000000000000000000000000
χ13444-4-24-4−1−5−1+5-2−1−5−1+50021+51−5-221+521−52−1−51+5−1+51−5−1−52−1−52−1+52−1+521+521−520000001+52−1−521−52−1+52−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58000000000000000000000000000-4-442-441+51−521+51−500-2−1−5−1+52-2−1−52−1+521+5−1−51−5−1+51+521+521−521−52−1−52−1+52000000−1−521+52−1+521−52ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58000000000000000000000000000
χ13544-4-24-4−1+5−1−5-2−1+5−1−50021−51+5-221−521+52−1+51−5−1−51+5−1+52−1+52−1−52−1−521−521+520000001−52−1+521+52−1−52−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46000000000000000000000000000-4-442-441−51+521−51+500-2−1+5−1−52-2−1+52−1−521−5−1+51+5−1−51−521−521+521+52−1+52−1−52000000−1+521−52−1−521+52ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46000000000000000000000000000
χ13644-4-24-4−1+5−1−5-2−1+5−1−50021−51+5-221−521+52−1+51−5−1−51+5−1+52−1+52−1−52−1−521−521+520000001−52−1+521+52−1−52ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46000000000000000000000000000-4-442-441−51+521−51+500-2−1+5−1−52-2−1+52−1−521−5−1+51+5−1−51−521−521+521+52−1+52−1−52000000−1+521−52−1−521+52−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46000000000000000000000000000
χ13744-4-2-4444-244002-4-42-2-2-2-44-442222-2-20000002-22-200000000000000000000000000000000000-4-4424-4-4-42-4-400-244-22224-44-4-2-2-2-222000000-22-2200000000000000000000000000000000000
χ13844-4-2-44−1−5−1+5-2−1−5−1+50021+51−52-21+521−521+5−1−51−5−1+5−1−52−1−52−1+52−1+521+521−52000000−1−521+52−1+521−52ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58000000000000000000000000000-4-4424-41+51−521+51−500-2−1−5−1+5-22−1−52−1+52−1−51+5−1+51−51+521+521−521−52−1−52−1+520000001+52−1−521−52−1+52−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58000000000000000000000000000
χ13944-4-2-44−1−5−1+5-2−1−5−1+50021+51−52-21+521−521+5−1−51−5−1+5−1−52−1−52−1+52−1+521+521−52000000−1−521+52−1+521−52−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58000000000000000000000000000-4-4424-41+51−521+51−500-2−1−5−1+5-22−1−52−1+52−1−51+5−1+51−51+521+521−521−52−1−52−1+520000001+52−1−521−52−1+52ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58000000000000000000000000000
χ14044-4-2-44−1+5−1−5-2−1+5−1−50021−51+52-21−521+521−5−1+51+5−1−5−1+52−1+52−1−52−1−521−521+52000000−1+521−52−1−521+52−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46000000000000000000000000000-4-4424-41−51+521−51+500-2−1+5−1−5-22−1+52−1−52−1+51−5−1−51+51−521−521+521+52−1+52−1−520000001−52−1+521+52−1−52ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46000000000000000000000000000
χ14144-4-2-44−1+5−1−5-2−1+5−1−50021−51+52-21−521+521−5−1+51+5−1−5−1+52−1+52−1−52−1−521−521+52000000−1+521−52−1−521+52ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46000000000000000000000000000-4-4424-41−51+521−51+500-2−1+5−1−5-22−1+52−1−52−1+51−5−1−51+51−521−521+521+52−1+52−1−520000001−52−1+521+52−1−52−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46000000000000000000000000000
χ1424-4040044-4-4-400000004400000000-4-400000000000000000000004i−4i000000000000000000000-440-400-4-44440000000-4-400000000440000000000000000000000−4i4i000000000000000000000
χ1434-4040044-4-4-400000004400000000-4-40000000000000000000000−4i4i000000000000000000000-440-400-4-44440000000-4-4000000004400000000000000000000004i−4i000000000000000000000
χ1448-80800−2−25−2+25-82+252−250000000−2−25−2+25000000002+252−25000000000000000000000000000000000000000000000-880-8002+252−258−2−25−2+2500000002+252−2500000000−2−25−2+25000000000000000000000000000000000000000000000
χ1458-80800−2+25−2−25-82−252+250000000−2+25−2−25000000002−252+25000000000000000000000000000000000000000000000-880-8002−252+258−2+25−2−2500000002−252+2500000000−2+25−2−25000000000000000000000000000000000000000000000
χ1468-80-400884-8-80000000-4-40000000044000000000000000000000000000000000000000000000-880400-8-8-48800000004400000000-4-4000000000000000000000000000000000000000000000
χ1478-80-400−2−25−2+2542+252−2500000001+51−500002ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ46−2ζ2+2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ58−1−5−1+5000000000000000000000000000000000000000000000-8804002+252−25-4−2−25−2+250000000−1−5−1+50000−2ζ14+2ζ26+2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ462ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ581+51−5000000000000000000000000000000000000000000000
χ1488-80-400−2−25−2+2542+252−2500000001+51−50000−2ζ14+2ζ26+2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ462ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ58−1−5−1+5000000000000000000000000000000000000000000000-8804002+252−25-4−2−25−2+250000000−1−5−1+500002ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ46−2ζ2+2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ581+51−5000000000000000000000000000000000000000000000
χ1498-80-400−2+25−2−2542−252+2500000001−51+50000−2ζ2+2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ58−2ζ14+2ζ26+2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ46−1+5−1−5000000000000000000000000000000000000000000000-8804002−252+25-4−2+25−2−250000000−1+5−1−500002ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ582ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ461−51+5000000000000000000000000000000000000000000000
χ1508-80-400−2+25−2−2542−252+2500000001−51+500002ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ582ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ46−1+5−1−5000000000000000000000000000000000000000000000-8804002−252+25-4−2+25−2−250000000−1+5−1−50000−2ζ2+2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ58−2ζ14+2ζ26+2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ461−51+5000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.