Finite Group Databasebeta

← Group #14425654

Character table — Group #14425654

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size11222222222444444444444444448888888888888888888121220202424242424242424244040404040606060601122222222244444444444444444888888888888888888812122020242424242424242424404040404060606060
order12222355610106661010101010101515303030303030412122020202030303030606060606060606024244101020202020202046121212244422222610106101066610101010101030303030303030304121220202020303030306060606060606060242441010202020202020461212122444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-111111-1-1-1-111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-111111-1-1-1-1
χ411111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11111-1-1-1-1-111-1-111-1-11111111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11111-1-1-1-1-111-1-111-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-11-1-111-1-1111111111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-11-1-111-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-111-1-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-11111-1-11111111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-11111-1-1
χ9222222−1−52−1+522−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222002−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52000000000222222−1−52−1+522−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222002−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52000000000
χ10222222−1−52−1+522−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-200-21+521−521+521−521+521+521−521−52000000000222222−1−52−1+522−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-200-21+521−521+521−521+521+521−521−52000000000
χ11222222−1−52−1+522−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−522200-2−1−52−1+52−1−52−1+521+521+521−521−52000000000222222−1−52−1+522−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−522200-2−1−52−1+52−1−52−1+521+521+521−521−52000000000
χ12222222−1−52−1+522−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2-20021+521−521+521−52−1−52−1−52−1+52−1+52000000000222222−1−52−1+522−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2-20021+521−521+521−52−1−52−1−52−1+52−1+52000000000
χ13222222−1+52−1−522−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222002−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52000000000222222−1+52−1−522−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222002−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52000000000
χ14222222−1+52−1−522−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-200-21−521+521−521+521−521−521+521+52000000000222222−1+52−1−522−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-200-21−521+521−521+521−521−521+521+52000000000
χ15222222−1+52−1−522−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+522200-2−1+52−1−52−1+52−1−521−521−521+521+52000000000222222−1+52−1−522−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+522200-2−1+52−1−52−1+52−1−521−521−521+521+52000000000
χ16222222−1+52−1−522−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2-20021−521+521−521+52−1+52−1+52−1−52−1−52000000000222222−1+52−1−522−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2-20021−521+521−521+52−1+52−1+52−1−52−1−52000000000
χ1722222-122-122-1-1-1222222-1-1-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-100220000000002-1-1-1-1000022222-122-122-1-1-1222222-1-1-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-100220000000002-1-1-1-10000
χ1822222-122-122-1-1-1222222-1-1-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-2000000000-21111000022222-122-122-1-1-1222222-1-1-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-2000000000-211110000
χ1922222-122-122-1-1-1222222-1-1-1-1-1-1-1-1-211-2-2-2-2-1-1-1-1111111110022000000000-2-1-111000022222-122-122-1-1-1222222-1-1-1-1-1-1-1-1-211-2-2-2-2-1-1-1-1111111110022000000000-2-1-1110000
χ2022222-122-122-1-1-1222222-1-1-1-1-1-1-1-1-211-2-2-2-2-1-1-1-11111111100-2-2000000000211-1-1000022222-122-122-1-1-1222222-1-1-1-1-1-1-1-1-211-2-2-2-2-1-1-1-11111111100-2-2000000000211-1-10000
χ21222-2-2222222-22-2-2-222-2-2222222220000000-2-2-2-2000000000000000000000000002-200222-2-2222222-22-2-2-222-2-2222222220000000-2-2-2-2000000000000000000000000002-200
χ22222-2-2222222-22-2-2-222-2-2222222220000000-2-2-2-200000000000000000000000000-2200222-2-2222222-22-2-2-222-2-2222222220000000-2-2-2-200000000000000000000000000-2200
χ2322-22-22222222-2-2-2-2-2-2222222-2-2-2-200000002-22-200000000002-200000000002-200000022-22-22222222-2-2-2-2-2-2222222-2-2-2-200000002-22-200000000002-200000000002-2000000
χ2422-22-22222222-2-2-2-2-2-2222222-2-2-2-200000002-22-20000000000-220000000000-2200000022-22-22222222-2-2-2-2-2-2222222-2-2-2-200000002-22-20000000000-220000000000-22000000
χ2522-22-2-122-122-111-2-2-2-222-1-1-1-1111103−30000-11-1133−3−333−3−3002-20000000000-113−3000022-22-2-122-122-111-2-2-2-222-1-1-1-1111103−30000-11-1133−3−333−3−3002-20000000000-113−30000
χ2622-22-2-122-122-111-2-2-2-222-1-1-1-1111103−30000-11-1133−3−333−3−300-2200000000001-1−33000022-22-2-122-122-111-2-2-2-222-1-1-1-1111103−30000-11-1133−3−333−3−300-2200000000001-1−330000
χ2722-22-2-122-122-111-2-2-2-222-1-1-1-111110−330000-11-11−3−333−3−333002-20000000000-11−33000022-22-2-122-122-111-2-2-2-222-1-1-1-111110−330000-11-11−3−333−3−333002-20000000000-11−330000
χ2822-22-2-122-122-111-2-2-2-222-1-1-1-111110−330000-11-11−3−333−3−33300-2200000000001-13−3000022-22-2-122-122-111-2-2-2-222-1-1-1-111110−330000-11-11−3−333−3−33300-2200000000001-13−30000
χ2922-2-22222222-2-2222-2-2-2-22222-2-2-2-20000000-22-22000000002-200022-2-2000000000000022-2-22222222-2-2222-2-2-2-22222-2-2-2-20000000-22-22000000002-200022-2-20000000000000
χ3022-2-22222222-2-2222-2-2-2-22222-2-2-2-20000000-22-2200000000-22000-2-222000000000000022-2-22222222-2-2222-2-2-2-22222-2-2-2-20000000-22-2200000000-22000-2-2220000000000000
χ3122-2-222−1−52−1+522−1−52−1+52-2-22−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521+521−521−52000−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ471+52−1−521−52−1+52−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ472-2000−1−52−1+521+521−52−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ4700000000022-2-222−1−52−1+522−1−52−1+52-2-22−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521+521−521−52000−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ471+52−1−521−52−1+52−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ472-2000−1−52−1+521+521−52−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47000000000
χ3222-2-222−1−52−1+522−1−52−1+52-2-22−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521+521−521−52000−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ471+52−1−521−52−1+52−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47-220001+521−52−1−52−1+52ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ4700000000022-2-222−1−52−1+522−1−52−1+52-2-22−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521+521−521−52000−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ471+52−1−521−52−1+52−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47-220001+521−52−1−52−1+52ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47000000000
χ3322-2-222−1−52−1+522−1−52−1+52-2-22−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521+521−521−52000ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ471+52−1−521−52−1+52ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ472-2000−1−52−1+521+521−52ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ4700000000022-2-222−1−52−1+522−1−52−1+52-2-22−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521+521−521−52000ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ471+52−1−521−52−1+52ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ472-2000−1−52−1+521+521−52ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47000000000
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χ12444-44-4-2−1+5−1−5-2−1+5−1−5-2221−51+51−51+5−1+5−1−51−521+521−521+52−1+52−1+52−1−52−1−520−232300001−52−1+521+52−1−52−ζ7+ζ23−ζ43+ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ7−ζ23+ζ43−ζ47ζ11−ζ19−ζ31+ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ11+ζ19+ζ31−ζ590000000000000000000000-4-44-4421−51+521−51+52-2-2−1+5−1−5−1+5−1−51−51+5−1+52−1−52−1+52−1−521−521−521+521+52023−230000−1+521−52−1−521+52ζ7−ζ23+ζ43−ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ7+ζ23−ζ43+ζ47−ζ11+ζ19+ζ31−ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ11−ζ19−ζ31+ζ590000000000000000000000
χ12544-4-44-244-24422-244-4-4-4-4-2-2-2-2222200000002-22-2000000000000000000000000000000-4-444-42-4-42-4-4-2-22-4-444442222-2-2-2-20000000-22-22000000000000000000000000000000
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χ1304-4000444-4-4-400000000044-4-400000000000000000000000000000000000000000002i−2i-44000-4-4-4444000000000-4-4440000000000000000000000000000000000000000000−2i2i
χ1314-4000444-4-4-400000000044-4-40000000000000000000000000000000000000000000−2i2i-44000-4-4-4444000000000-4-44400000000000000000000000000000000000000000002i−2i
χ1328-80008−2−25−2+25-82+252−25000000000−2−25−2+252+252−25000000000000000000000000000000000000000000000-88000-82+252−258−2−25−2+250000000002+252−25−2−25−2+25000000000000000000000000000000000000000000000
χ1338-80008−2+25−2−25-82−252+25000000000−2+25−2−252−252+25000000000000000000000000000000000000000000000-88000-82−252+258−2+25−2−250000000002−252+25−2+25−2−25000000000000000000000000000000000000000000000
χ1348-8000-4884-8-8000000000-4-444000000000000000000000000000000000000000000000-880004-8-8-48800000000044-4-4000000000000000000000000000000000000000000000
χ1358-8000-4−2−25−2+2542+252−250000000001+51−5−1−5−1+52ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ46−2ζ2+2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ5800000000000000000000000000000000000000000-8800042+252−25-4−2−25−2+25000000000−1−5−1+51+51−5−2ζ14+2ζ26+2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ462ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ5800000000000000000000000000000000000000000
χ1368-8000-4−2−25−2+2542+252−250000000001+51−5−1−5−1+5−2ζ14+2ζ26+2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ462ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ5800000000000000000000000000000000000000000-8800042+252−25-4−2−25−2+25000000000−1−5−1+51+51−52ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ46−2ζ2+2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ5800000000000000000000000000000000000000000
χ1378-8000-4−2+25−2−2542−252+250000000001−51+5−1+5−1−5−2ζ2+2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ58−2ζ14+2ζ26+2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ4600000000000000000000000000000000000000000-8800042−252+25-4−2+25−2−25000000000−1+5−1−51−51+52ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ582ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ4600000000000000000000000000000000000000000
χ1388-8000-4−2+25−2−2542−252+250000000001−51+5−1+5−1−52ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ582ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ4600000000000000000000000000000000000000000-8800042−252+25-4−2+25−2−25000000000−1+5−1−51−51+5−2ζ2+2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ58−2ζ14+2ζ26+2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ4600000000000000000000000000000000000000000

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