Finite Group Databasebeta

← Group #90992

Character table — Group #90992

Order 480.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11112222222222222244444444444444444444441212121212121212121220202020202030303030
order12442345561010121220202020610101215152020303030303030606060606060606088404040404040404088242424248888
χ1111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511-1-1-11111111-1-1-1-1-1-1-1-1-111111-1-1-1-1111111-1-1-1-1i−iiiii−i−i−i−ii−iii−i−i11-1-1
χ611-1-1-11111111-1-1-1-1-1-1-1-1-111111-1-1-1-1111111-1-1-1-1i−iiiii−i−i−i−i−ii−i−iii-1-111
χ711-1-1-11111111-1-1-1-1-1-1-1-1-111111-1-1-1-1111111-1-1-1-1−ii−i−i−i−iiiiii−iii−i−i-1-111
χ811-1-1-11111111-1-1-1-1-1-1-1-1-111111-1-1-1-1111111-1-1-1-1−ii−i−i−i−iiiii−ii−i−iii11-1-1
χ92222222−1−52−1+522−1−52−1+5222−1−52−1−52−1+52−1+522−1−52−1+522−1−52−1+52−1−52−1+52−1−52−1−52−1+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+520000000000
χ102222222−1−52−1+522−1−52−1+5222−1−52−1−52−1+52−1+522−1−52−1+522−1−52−1+52−1−52−1+52−1−52−1−52−1+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+521−521−521+521+521−521−520000000000
χ112222222−1+52−1−522−1+52−1−5222−1+52−1+52−1−52−1−522−1+52−1−522−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−52−1−520000000000
χ122222222−1+52−1−522−1+52−1−5222−1+52−1+52−1−52−1−522−1+52−1−522−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-21−521−521+521+521−521−521+521+520000000000
χ1322222-1222-122-1-12222-122-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000022-1-1-1-10000
χ1422222-1222-122-1-12222-122-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000-2-211110000
χ152222-22-222222222222-2-2-2-222-2-2-2-2-2-222-2-2-2-2222200000000000000000000
χ162222-22-2−1−52−1+522−1−52−1+5222−1−52−1−52−1+52−1+52-21+521−52-2−1−52−1+521+521−521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ1160000000000
χ172222-22-2−1−52−1+522−1−52−1+5222−1−52−1−52−1+52−1+52-21+521−52-2−1−52−1+521+521−521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ1160000000000
χ182222-22-2−1+52−1−522−1+52−1−5222−1+52−1+52−1−52−1−52-21−521+52-2−1+52−1−521−521+521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ920000000000
χ192222-22-2−1+52−1−522−1+52−1−5222−1+52−1+52−1−52−1−52-21−521+52-2−1+52−1−521−521+521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ920000000000
χ202222-2-1-222-122-1-122221-2-21-1-1-2-21111-1-11111-1-1-1-1000000000000−i3i3−i3i30000
χ212222-2-1-222-122-1-122221-2-21-1-1-2-21111-1-11111-1-1-1-1000000000000i3−i3i3−i30000
χ2222-2-222-222222-2-2-2-2-2-2222-222-2-2222222-2-2-2-2-2-2-2-200000000000000000000
χ2322-2-222-2−1−52−1+522−1−52−1+52-2-21+521+521−521−522−1−52−1+52-2−1−52−1+521+521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−5200−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ940000000000
χ2422-2-222-2−1−52−1+522−1−52−1+52-2-21+521+521−521−522−1−52−1+52-2−1−52−1+521+521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−5200ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ940000000000
χ2522-2-222-2−1+52−1−522−1+52−1−52-2-21−521−521+521+522−1+52−1−52-2−1+52−1−521−521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+5200ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ1180000000000
χ2622-2-222-2−1+52−1−522−1+52−1−52-2-21−521−521+521+522−1+52−1−52-2−1+52−1−521−521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+5200−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ1180000000000
χ2722-2-22-1-222-12211-2-2-2-2-1221-1-1-2-2-1-1-1-1-1-1111111110000000000003−3−330000
χ2822-2-22-1-222-12211-2-2-2-2-1221-1-1-2-2-1-1-1-1-1-111111111000000000000−333−30000
χ2922-2-2-222−1−52−1+522−1−52−1+52-2-21+521+521−521−52-21+521−522−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−522i−2i−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ940000000000
χ3022-2-2-222−1−52−1+522−1−52−1+52-2-21+521+521−521−52-21+521−522−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−2i2iζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ940000000000
χ3122-2-2-222−1+52−1−522−1+52−1−52-2-21−521−521+521+52-21−521+522−1+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+522i−2i−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ1180000000000
χ3222-2-2-222−1+52−1−522−1+52−1−52-2-21−521−521+521+52-21−521+522−1+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+52−2i2iζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ1180000000000
χ3322-2-2-2-1222-12211-2-2-2-21-2-2-1-1-1221111-1-1-1-1-1-1111100000000002i−2i−i−iii0000
χ3422-2-2-2-1222-12211-2-2-2-21-2-2-1-1-1221111-1-1-1-1-1-111110000000000−2i2iii−i−i0000
χ352-22i−2i02022-2-2-22i−2i2i−2i2i−2i000022000000-2-200002i−2i2i−2i00000000000000002−2−i2i2
χ362-22i−2i02022-2-2-22i−2i2i−2i2i−2i000022000000-2-200002i−2i2i−2i0000000000000000−22i2−i2
χ372-2−2i2i02022-2-2-2−2i2i−2i2i−2i2i000022000000-2-20000−2i2i−2i2i00000000000000002−2i2−i2
χ382-2−2i2i02022-2-2-2−2i2i−2i2i−2i2i000022000000-2-20000−2i2i−2i2i0000000000000000−22−i2i2
χ3944444-24−1−5−1+5-2−1−5−1+5-2-2−1−5−1−5−1+5−1+5-2−1−5−1+5-21+521−52−1−5−1+51+521+521−521−521+521−521+521+521−521−521+521+521−521−5200000000000000000000
χ4044444-24−1+5−1−5-2−1+5−1−5-2-2−1+5−1+5−1−5−1−5-2−1+5−1−5-21−521+52−1+5−1−51−521−521+521+521−521+521−521−521+521+521−521−521+521+5200000000000000000000
χ414444-4-2-4−1−5−1+5-2−1−5−1+5-2-2−1−5−1−5−1+5−1+521+51−521+521−521+51−5−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000000
χ424444-4-2-4−1+5−1−5-2−1+5−1−5-2-2−1+5−1+5−1−5−1−521−51+521−521+521−51+5−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000000
χ4344-4-44-2-4−1−5−1+5-2−1−5−1+5221+51+51−51−5-2−1−5−1+521+521−521+51−51+521+521−521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000000
χ4444-4-44-2-4−1+5−1−5-2−1+5−1−5221−51−51+51+5-2−1+5−1−521−521+521−51+51−521−521+521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000
χ4544-4-4-4-24−1−5−1+5-2−1−5−1+5221+51+51−51−521+51−5-21+521−52−1−5−1+5−1−52−1−52−1+52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000000
χ4644-4-4-4-24−1+5−1−5-2−1+5−1−5221−51−51+51+521−51+5-21−521+52−1+5−1−5−1+52−1+52−1−52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000000
χ474-44i−4i040−1−5−1+5-41+51−54i−4i−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ940000−1−5−1+50000001+51−50000−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ9400000000000000000000
χ484-44i−4i040−1+5−1−5-41−51+54i−4i−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ1180000−1+5−1−50000001−51+50000−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ11800000000000000000000
χ494-44i−4i0-20442-4-4−2i2i4i−4i4i−4i0000-2-2000000220000−2i2i−2i2i00000000000000000000
χ504-44i−4i0-20−1−5−1+521+51−5−2i2i−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ9400001+521−5200ζ28−ζ52−ζ68+ζ92−ζ28+ζ52+ζ68−ζ92−ζ4+ζ44+ζ76−ζ116ζ4−ζ44−ζ76+ζ116−1−52−1+52ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ9400000000000000000000
χ514-44i−4i0-20−1−5−1+521+51−5−2i2i−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ9400001+521−5200−ζ28+ζ52+ζ68−ζ92ζ28−ζ52−ζ68+ζ92ζ4−ζ44−ζ76+ζ116−ζ4+ζ44+ζ76−ζ116−1−52−1+52−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ9400000000000000000000
χ524-44i−4i0-20−1+5−1−521−51+5−2i2i−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ11800001−521+5200−ζ4+ζ44+ζ76−ζ116ζ4−ζ44−ζ76+ζ116−ζ28+ζ52+ζ68−ζ92ζ28−ζ52−ζ68+ζ92−1+52−1−52−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ11800000000000000000000
χ534-44i−4i0-20−1+5−1−521−51+5−2i2i−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ11800001−521+5200ζ4−ζ44−ζ76+ζ116−ζ4+ζ44+ζ76−ζ116ζ28−ζ52−ζ68+ζ92−ζ28+ζ52+ζ68−ζ92−1+52−1−52ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ11800000000000000000000
χ544-4−4i4i040−1−5−1+5-41+51−5−4i4i2ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ1182ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ940000−1−5−1+50000001+51−500002ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ1182ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ9400000000000000000000
χ554-4−4i4i040−1+5−1−5-41−51+5−4i4i2ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ942ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ1180000−1+5−1−50000001−51+500002ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ942ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ11800000000000000000000
χ564-4−4i4i0-20442-4-42i−2i−4i4i−4i4i0000-2-20000002200002i−2i2i−2i00000000000000000000
χ574-4−4i4i0-20−1−5−1+521+51−52i−2i2ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ1182ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ9400001+521−5200ζ28−ζ52−ζ68+ζ92−ζ28+ζ52+ζ68−ζ92−ζ4+ζ44+ζ76−ζ116ζ4−ζ44−ζ76+ζ116−1−52−1+52−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ9400000000000000000000
χ584-4−4i4i0-20−1−5−1+521+51−52i−2i2ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ1182ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ9400001+521−5200−ζ28+ζ52+ζ68−ζ92ζ28−ζ52−ζ68+ζ92ζ4−ζ44−ζ76+ζ116−ζ4+ζ44+ζ76−ζ116−1−52−1+52ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ9400000000000000000000
χ594-4−4i4i0-20−1+5−1−521−51+52i−2i2ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ942ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ11800001−521+5200−ζ4+ζ44+ζ76−ζ116ζ4−ζ44−ζ76+ζ116−ζ28+ζ52+ζ68−ζ92ζ28−ζ52−ζ68+ζ92−1+52−1−52ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ11800000000000000000000
χ604-4−4i4i0-20−1+5−1−521−51+52i−2i2ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ942ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ11800001−521+5200ζ4−ζ44−ζ76+ζ116−ζ4+ζ44+ζ76−ζ116ζ28−ζ52−ζ68+ζ92−ζ28+ζ52+ζ68−ζ92−1+52−1−52−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ11800000000000000000000

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