Finite Group Databasebeta

← Group #14292942

Character table — Group #14292942

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129
size111122222222222222222222444444444444444444444444444448888888888888888888888888888888888888888202020202020202020202020242424242424242424244040404040404848484848120120240
order12223444455666101010101010121212124121212121515202020202020202030303030303060606060606060602466101010101212202020202020303030303030303060606060606060606060606060606060888824242424242424248840404040404040408824242424210101010884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111111-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ511111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1
χ611111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11
χ711111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-11
χ811111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1
χ9222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+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+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000000022−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000002−1−52−1−52−1+52−1+52000
χ10222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+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+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000000-2-21+521+521+521+521−521−521−521−52000000-21+521+521−521−52000
χ11222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+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+521−521−52-2-2−1−52−1+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+521+521+521+521+521−521−521−521−5200000000000022−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000-21+521+521−521−52000
χ12222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+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+521−521−52-2-2−1−52−1+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+521+521+521+521+521−521−521−521−52000000000000-2-21+521+521+521+521−521−521−521−520000002−1−52−1−52−1+52−1+52000
χ13222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+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+52−1−52−1−5222−1+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+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000000022−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000002−1+52−1+52−1−52−1−52000
χ14222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+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+52−1−52−1−5222−1+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+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000000-2-21−521−521−521−521+521+521+521+52000000-21−521−521+521+52000
χ15222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+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+52-2-2−1+52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+5200000000000022−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000-21−521−521+521+52000
χ16222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+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+52-2-2−1+52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52000000000000-2-21−521−521−521−521+521+521+521+520000002−1+52−1+52−1−52−1−52000
χ17222222-2-2222222222222-2-2-2-2-222-2-22222-2-2-2-222222222-2-2-2-2-2-2-2-22-2222222-2-2-2-2-2-2-2-22222222222-2-222-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000
χ18222222-2-2222222222222-2-2-2-2-222-2-22222-2-2-2-222222222-2-2-2-2-2-2-2-2-22-2-2-2-2-2-222-2-22222-2-2-2-2-2-2-2-222-2-222-2-222222222000000000000000000000000000000000000
χ19222222-2-22−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-222-2-2−1−52−1+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+521−521−521−521−522-222−1−52−1−52−1+52−1+52-2-21+521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−521+521+52−1+52−1+521−521−521+521+521+521+521−521−521−521−5200000000000000−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+ζ1160000000−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116000
χ20222222-2-22−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-222-2-2−1−52−1+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+521−521−521−521−522-222−1−52−1−52−1+52−1+52-2-21+521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−521+521+52−1+52−1+521−521−521+521+521+521+521−521−521−521−5200000000000000ζ28−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−ζ1160000000ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116000
χ21222222-2-22−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-222-2-2−1−52−1+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+521−521−521−521−52-22-2-21+521+521−521−52221+521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000000000−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+ζ1160000000ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116000
χ22222222-2-22−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-222-2-2−1−52−1+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+521−521−521−521−52-22-2-21+521+521−521−52221+521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000000000ζ28−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−ζ1160000000−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116000
χ23222222-2-22−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-222-2-2−1+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+522-222−1+52−1+52−1−52−1−52-2-21−521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+521−521−52−1−52−1−521+521+521−521−521−521−521+521+521+521+5200000000000000ζ4+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+ζ920000000ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92000
χ24222222-2-22−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-222-2-2−1+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+522-222−1+52−1+52−1−52−1−52-2-21−521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+521−521−52−1−52−1−521+521+521−521−521−521−521+521+521+521+5200000000000000−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−ζ920000000−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92000
χ25222222-2-22−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-222-2-2−1+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+52-22-2-21−521−521+521+52221−521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000000000ζ4+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+ζ920000000−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92000
χ26222222-2-22−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-222-2-2−1+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+52-22-2-21−521−521+521+52221−521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000000000−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−ζ920000000ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92000
χ2722222-222-2222222222222222-2-2-2-2-222-2-22222-2-2222222222222220000000000-2-2000000000000-2-2-2-2-2-2-2-20000000022-2-22222-2-2-2-2000000000000000000000000
χ2822222-222-2222222222222222-2-2-2-2-222-2-22222-2-2222222222222220000000000-2-2000000000000-2-2-2-2-2-2-2-200000000-2-222-2-2-2-22222000000000000000000000000
χ2922222-2-2-2-222222222222-2-2-2-22-2-22222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2000000000022000000000000-2-222-2-2220000000000000000000000000000002i−2i2i2i−2i−2i00000000
χ3022222-2-2-2-222222222222-2-2-2-22-2-22222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2000000000022000000000000-2-222-2-222000000000000000000000000000000−2i2i−2i−2i2i2i00000000
χ312222-1222222-1-1-1222222-1-1-1-12-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-12222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000022-1-1-1-100000000
χ322222-1222222-1-1-1222222-1-1-1-12-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-12222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000-2-2111100000000
χ332222-1222222-1-1-1222222-1-1-1-12-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211-2-2-2-21122-2-2-2-211111111-1-1-1-1-1-1-1-1111111112222-1-1-1-1-1-1-1-10000000000-2-2111100000000
χ342222-1222222-1-1-1222222-1-1-1-12-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211-2-2-2-21122-2-2-2-211111111-1-1-1-1-1-1-1-111111111-2-2-2-211111111000000000022-1-1-1-100000000
χ352222-12-2-2222-1-1-12222221111-2-1-111-1-122-2-2-2-222-1-1-1-1-1-1111111112-2-1-1222211-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-111-1-11111111111000033−3−333−3−30000000000003−33−300000000
χ362222-12-2-2222-1-1-12222221111-2-1-111-1-122-2-2-2-222-1-1-1-1-1-1111111112-2-1-1222211-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-111-1-111111111110000−3−333−3−333000000000000−33−3300000000
χ372222-12-2-2222-1-1-12222221111-2-1-111-1-122-2-2-2-222-1-1-1-1-1-111111111-2211-2-2-2-2-1-1-2-2222211111111-1-111-1-111-1-1-1-1-1-1-1-1000033−3−333−3−3000000000000−33−3300000000
χ382222-12-2-2222-1-1-12222221111-2-1-111-1-122-2-2-2-222-1-1-1-1-1-111111111-2211-2-2-2-2-1-1-2-2222211111111-1-111-1-111-1-1-1-1-1-1-1-10000−3−333−3−3330000000000003−33−300000000
χ392222-1-222-222-1-1-1222222-1-1-1-1-21111-1-1-2-22222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-100−i3i30000−i3i3-2-20000−i3−i3i3i3−i3−i3i3i311111111−i3−i3i3i3−i3−i3i3i322-2-2-1-1-1-11111000000000000−i3i3i3−i300000000
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χ1278-8-88-40000−2−25−2+254-442+25−2−252−25−2+252+252−25−434343−43000001+51−500000000−1−51+5−1+51−5−1−5−1+52ζ22−2ζ38−2ζ62+2ζ118−2ζ22+2ζ38+2ζ62−2ζ118−2ζ22+2ζ38+2ζ62−2ζ1182ζ22−2ζ38−2ζ62+2ζ118−2ζ14+2ζ46−2ζ86+2ζ942ζ14−2ζ46+2ζ86−2ζ942ζ14−2ζ46+2ζ86−2ζ94−2ζ14+2ζ46−2ζ86+2ζ940000000000000000000000000000000000000000000000000000000000000000000000000000
χ1288-8-88-40000−2+25−2−254-442−25−2+252+25−2−252−252+2543−43−4343000001−51+500000000−1+51−5−1−51+5−1+5−1−52ζ14−2ζ46+2ζ86−2ζ94−2ζ14+2ζ46−2ζ86+2ζ94−2ζ14+2ζ46−2ζ86+2ζ942ζ14−2ζ46+2ζ86−2ζ94−2ζ22+2ζ38+2ζ62−2ζ1182ζ22−2ζ38−2ζ62+2ζ1182ζ22−2ζ38−2ζ62+2ζ118−2ζ22+2ζ38+2ζ62−2ζ1180000000000000000000000000000000000000000000000000000000000000000000000000000
χ1298-8-88-40000−2+25−2−254-442−25−2+252+25−2−252−252+25−434343−43000001−51+500000000−1+51−5−1−51+5−1+5−1−5−2ζ14+2ζ46−2ζ86+2ζ942ζ14−2ζ46+2ζ86−2ζ942ζ14−2ζ46+2ζ86−2ζ94−2ζ14+2ζ46−2ζ86+2ζ942ζ22−2ζ38−2ζ62+2ζ118−2ζ22+2ζ38+2ζ62−2ζ118−2ζ22+2ζ38+2ζ62−2ζ1182ζ22−2ζ38−2ζ62+2ζ1180000000000000000000000000000000000000000000000000000000000000000000000000000

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