Finite Group Databasebeta

← Group #14458255

Character table — Group #14458255

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11222222222224444444444444444444444888888888888888888888810101010121212121616161616161616161616162020202020202020202024242424242424242424404048484848606060608080120120
order1223445566610104410101212121212121515202020203030303030304420202020202020206060606060606060606060608888224412122020606060606060606088242424242424242488101010102020202044404040402244121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1
χ3111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ511111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-111-1-111-1-1-1-111-1-11-11-1-1-11-1
χ611111111111111111111111111111111111-1-1-1-1-1-111111111111111111111-11-11-1-1-1-1-1-1-1-1-1-1-1-11111111111-11-1-111-1-111-1-1-1-111-11-11-1-1-11
χ711111111111111111111111111111111111-1-1-1-1-1-11111111111111111-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-1-11-1111-11
χ811111111111111111111111111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11111-1-1111-11-1111-1
χ91111111111111-1-111-1-1-1-1111111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111-1-1-11111-1-1-1-11-11111-1-1-1-1-1-1111111111-1-1-1-1-11-11-11-1-11
χ101111111111111-1-111-1-1-1-1111111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-1-11111-1-1-1-11-11111-1-1-1-111-1-1-1-1-1-1-1-11-11111-11-111-11-1
χ111111111111111-1-111-1-1-1-1111111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111-1-1-11111-1-1-1-1-11-1-1-1-11111-1-111111111-11-1-1-1-1-11-11-111-1
χ121111111111111-1-111-1-1-1-1111111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11-1-1-11111-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1111111-11-1-11-11
χ131111111111111-1-111-1-1-1-111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-11-1-1111-1-1-1-111111-11111-1-1-1-1-1111-1-111-1-1-11-1-1111111-11-1-1
χ141111111111111-1-111-1-1-1-111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11-11-1111-1-1-1-111111-11111-1-1-1-11-1-1-111-1-111-1111-1-1-1-1-1-1-1111
χ151111111111111-1-111-1-1-1-111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-11-1-1111-1-1-1-11111-11-1-1-1-11111-1111-1-111-1-11-1-1-111-1-1-1-11-111
χ161111111111111-1-111-1-1-1-111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-11-11-1111-1-1-1-11111-11-1-1-1-111111-1-1-111-1-1111-111-1-111111-1-1-1
χ17222222−1−52−1+52222−1−52−1+5222−1−52−1+52222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+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+520000222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000022−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200−1−52−1+52−1−52−1+5200000000
χ18222222−1−52−1+52222−1−52−1+5222−1−52−1+52222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+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+520000-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000-2-21+521−521+521−521+521−521+521−52001+521−521+521−5200000000
χ19222222−1−52−1+52222−1−52−1+5222−1−52−1+52222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-21+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+52−1−52−1−52−1+52−1+5200002-22-2-2-21+521−521+521+521−521−521+521+521−521−5200000000002-2−1−52−1+521+521−52−1−52−1+521+521−5200−1−52−1+521+521−5200000000
χ20222222−1−52−1+52222−1−52−1+5222−1−52−1+52222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-21+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+52−1−52−1−52−1+52−1+520000-22-22-2-21+521−521+521+521−521−521+521+521−521−520000000000-221+521−52−1−52−1+521+521−52−1−52−1+52001+521−52−1−52−1+5200000000
χ21222222−1−52−1+52222−1−52−1+52-2-2−1−52−1+52-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52000022222-21+521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52001+521−521+521−5200000000
χ22222222−1−52−1+52222−1−52−1+52-2-2−1−52−1+52-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+520000-2-2-2-22-21+521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000221+521−521+521−521+521−521+521−5200−1−52−1+52−1−52−1+5200000000
χ23222222−1−52−1+52222−1−52−1+52-2-2−1−52−1+52-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-221+521+521−521−521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+5200002-22-2-22−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000000000-22−1−52−1+521+521−52−1−52−1+521+521−52001+521−52−1−52−1+5200000000
χ24222222−1−52−1+52222−1−52−1+52-2-2−1−52−1+52-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-221+521+521−521−521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+520000-22-22-22−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000002-21+521−52−1−52−1+521+521−52−1−52−1+5200−1−52−1+521+521−5200000000
χ25222222−1+52−1−52222−1+52−1−5222−1+52−1−52222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+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+52−1−52−1−520000222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000022−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200−1+52−1−52−1+52−1−5200000000
χ26222222−1+52−1−52222−1+52−1−5222−1+52−1−52222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+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+52−1−52−1−520000-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000-2-21−521+521−521+521−521+521−521+52001−521+521−521+5200000000
χ27222222−1+52−1−52222−1+52−1−5222−1+52−1−52222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−5200002-22-2-2-21−521+521−521−521+521+521−521−521+521+5200000000002-2−1+52−1−521−521+52−1+52−1−521−521+5200−1+52−1−521−521+5200000000
χ28222222−1+52−1−52222−1+52−1−5222−1+52−1−52222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−520000-22-22-2-21−521+521−521−521+521+521−521−521+521+520000000000-221−521+52−1+52−1−521−521+52−1+52−1−52001−521+52−1+52−1−5200000000
χ29222222−1+52−1−52222−1+52−1−52-2-2−1+52−1−52-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52000022222-21−521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52001−521+521−521+5200000000
χ30222222−1+52−1−52222−1+52−1−52-2-2−1+52−1−52-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−520000-2-2-2-22-21−521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000221−521+521−521+521−521+521−521+5200−1+52−1−52−1+52−1−5200000000
χ31222222−1+52−1−52222−1+52−1−52-2-2−1+52−1−52-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-221−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−5200002-22-2-22−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000000-22−1+52−1−521−521+52−1+52−1−521−521+52001−521+52−1+52−1−5200000000
χ32222222−1+52−1−52222−1+52−1−52-2-2−1+52−1−52-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-221−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−520000-22-22-22−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000002-21−521+52−1+52−1−521−521+52−1+52−1−5200−1+52−1−521−521+5200000000
χ33222-12222-1-1-1222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-122220000-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100000000002200000000-1-100
χ34222-12222-1-1-1222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-1-122-1-1-1-1-1-1-1-1-2-2111111110000000000-2-2000000001100
χ35222-12222-1-1-1222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-12222000011-2-21111111122-1-1-1-1-1-1-1-10000000000-2-2000000001100
χ36222-12222-1-1-1222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000011-2-211111111-2-21111111100000000002200000000-1-100
χ37222-12222-1-1-122-2-2221111-1-1-1-12222-1-1-1-1-1-12-22222-2-2-2-211111111-1-1-1-122-2-20000-11-2-2-1-1-1-111112-2-1-1-1-1111100000000002-200000000-1100
χ38222-12222-1-1-122-2-2221111-1-1-1-12222-1-1-1-1-1-12-22222-2-2-2-211111111-1-1-1-1-2-2220000-11-2-2-1-1-1-11111-221111-1-1-1-10000000000-22000000001-100
χ39222-12222-1-1-122-2-2221111-1-1-1-12222-1-1-1-1-1-1-22-2-2-2-2-2-2-2-211111111-1-1-1-122-2-200001-1221111-1-1-1-12-2-1-1-1-111110000000000-22000000001-100
χ40222-12222-1-1-122-2-2221111-1-1-1-12222-1-1-1-1-1-1-22-2-2-2-2-2-2-2-211111111-1-1-1-1-2-22200001-1221111-1-1-1-1-221111-1-1-1-100000000002-200000000-1100
χ4122-222-222-2-222200-2-200002-2222-22-2-2-2-2-2220000000000000000002-22-20022020-20000000000000-2000022-2-200002200-2-2000000020-20000
χ4222-222-222-2-222200-2-200002-2222-22-2-2-2-2-2220000000000000000002-22-200220-2020000000000000-2000022-2-20000-2-200220000000-2020000
χ4322-222-222-2-222200-2-200002-2222-22-2-2-2-2-2220000000000000000002-22-200-2-2020-2000000000000020000-2-22200002200-2-20000000-2020000
χ4422-222-222-2-222200-2-200002-2222-22-2-2-2-2-2220000000000000000002-22-200-2-20-202000000000000020000-2-2220000-2-20022000000020-20000
χ4522-22-2222-2-222200-2-20000-2222-22-22-2-2-2-222000000000000000000-22-22220020-20000000000000-2022-2-20000002200-2-20000000020-200000
χ4622-22-2222-2-222200-2-20000-2222-22-22-2-2-2-222000000000000000000-22-222200-2020000000000000-2022-2-2000000-2-2002200000000-20200000
χ4722-22-2222-2-222200-2-20000-2222-22-22-2-2-2-222000000000000000000-22-22-2-20020-2000000000000020-2-2220000002200-2-200000000-20200000
χ4822-22-2222-2-222200-2-20000-2222-22-22-2-2-2-222000000000000000000-22-22-2-200-202000000000000020-2-222000000-2-200220000000020-200000
χ494444-4-4444444400440000-4-444-4-4-4-4444444000000000000000000-4-4-4-4000000000000000000000000000000000000000000000000000000
χ504444-4-4−1−5−1+5444−1−5−1+500−1−5−1+50000-4-4−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+5−1−5−1+500−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ922ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1160000000000001+51+51−51−5000000000000−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ922ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ11600000000000000000000000000000000000000
χ514444-4-4−1−5−1+5444−1−5−1+500−1−5−1+50000-4-4−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+5−1−5−1+5002ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ1160000000000001+51+51−51−50000000000002ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ11600000000000000000000000000000000000000
χ524444-4-4−1+5−1−5444−1+5−1−500−1+5−1−50000-4-4−1+5−1−51−51−51+51+5−1+5−1+5−1−5−1−5−1+5−1−5002ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1162ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ920000000000001−51−51+51+50000000000002ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1162ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ9200000000000000000000000000000000000000
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χ1058-80-400−2−25−2+25−4i34i342+252−25-44002+2i3−2−2i32−2i3−2+2i3001+51−500002ζ28+2ζ52−2ζ68−2ζ92−2ζ28−2ζ52+2ζ68+2ζ922ζ4−2ζ44+2ζ76−2ζ116−2ζ4+2ζ44−2ζ76+2ζ116−1−5−1+50000001+5−1−51−5−1+52ζ68+2ζ92−2ζ68−2ζ922ζ28+2ζ52−2ζ28−2ζ522ζ44+2ζ116−2ζ44−2ζ1162ζ4+2ζ76−2ζ4−2ζ760000000000000000000000000000000000000000000000000000000000
χ1068-80-400−2−25−2+254i3−4i342+252−254-400−2+2i32−2i3−2−2i32+2i3001+51−50000−2ζ28−2ζ52+2ζ68+2ζ922ζ28+2ζ52−2ζ68−2ζ92−2ζ4+2ζ44−2ζ76+2ζ1162ζ4−2ζ44+2ζ76−2ζ116−1−5−1+5000000−1−51+5−1+51−5−2ζ28−2ζ522ζ28+2ζ52−2ζ68−2ζ922ζ68+2ζ92−2ζ4−2ζ762ζ4+2ζ76−2ζ44−2ζ1162ζ44+2ζ1160000000000000000000000000000000000000000000000000000000000
χ1078-80-400−2−25−2+254i3−4i342+252−25-44002−2i3−2+2i32+2i3−2−2i3001+51−50000−2ζ28−2ζ52+2ζ68+2ζ922ζ28+2ζ52−2ζ68−2ζ92−2ζ4+2ζ44−2ζ76+2ζ1162ζ4−2ζ44+2ζ76−2ζ116−1−5−1+50000001+5−1−51−5−1+52ζ28+2ζ52−2ζ28−2ζ522ζ68+2ζ92−2ζ68−2ζ922ζ4+2ζ76−2ζ4−2ζ762ζ44+2ζ116−2ζ44−2ζ1160000000000000000000000000000000000000000000000000000000000
χ1088-80-400−2+25−2−25−4i34i342−252+254-400−2−2i32+2i3−2+2i32−2i3001−51+500002ζ4−2ζ44+2ζ76−2ζ116−2ζ4+2ζ44−2ζ76+2ζ1162ζ28+2ζ52−2ζ68−2ζ92−2ζ28−2ζ52+2ζ68+2ζ92−1+5−1−5000000−1+51−5−1−51+5−2ζ44−2ζ1162ζ44+2ζ116−2ζ4−2ζ762ζ4+2ζ76−2ζ68−2ζ922ζ68+2ζ92−2ζ28−2ζ522ζ28+2ζ520000000000000000000000000000000000000000000000000000000000
χ1098-80-400−2+25−2−25−4i34i342−252+25-44002+2i3−2−2i32−2i3−2+2i3001−51+500002ζ4−2ζ44+2ζ76−2ζ116−2ζ4+2ζ44−2ζ76+2ζ1162ζ28+2ζ52−2ζ68−2ζ92−2ζ28−2ζ52+2ζ68+2ζ92−1+5−1−50000001−5−1+51+5−1−52ζ44+2ζ116−2ζ44−2ζ1162ζ4+2ζ76−2ζ4−2ζ762ζ68+2ζ92−2ζ68−2ζ922ζ28+2ζ52−2ζ28−2ζ520000000000000000000000000000000000000000000000000000000000
χ1108-80-400−2+25−2−254i3−4i342−252+254-400−2+2i32−2i3−2−2i32+2i3001−51+50000−2ζ4+2ζ44−2ζ76+2ζ1162ζ4−2ζ44+2ζ76−2ζ116−2ζ28−2ζ52+2ζ68+2ζ922ζ28+2ζ52−2ζ68−2ζ92−1+5−1−5000000−1+51−5−1−51+5−2ζ4−2ζ762ζ4+2ζ76−2ζ44−2ζ1162ζ44+2ζ116−2ζ28−2ζ522ζ28+2ζ52−2ζ68−2ζ922ζ68+2ζ920000000000000000000000000000000000000000000000000000000000
χ1118-80-400−2+25−2−254i3−4i342−252+25-44002−2i3−2+2i32+2i3−2−2i3001−51+50000−2ζ4+2ζ44−2ζ76+2ζ1162ζ4−2ζ44+2ζ76−2ζ116−2ζ28−2ζ52+2ζ68+2ζ922ζ28+2ζ52−2ζ68−2ζ92−1+5−1−50000001−5−1+51+5−1−52ζ4+2ζ76−2ζ4−2ζ762ζ44+2ζ116−2ζ44−2ζ1162ζ28+2ζ52−2ζ28−2ζ522ζ68+2ζ92−2ζ68−2ζ920000000000000000000000000000000000000000000000000000000000

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