Finite Group Databasebeta

← Group #11748221

Character table — Group #11748221

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222222222224444444444444444444444444666666666688888888888888121212121212121212121212121212404040404040120120
order12234455610102020202068810101212151520203030404040404040404060606060884040404040404040242430306060120120120120120120120120248101010102020202040404040481212242428
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ51111111111111111-1-11111111111-1-1-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111-111-1-11-1
χ61111111111111111-1-11111111111-1-1-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-11-1-111-11
χ71111111111111111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-111111111-1-1-1-11-111-1-1-11
χ81111111111111111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-111111111-1-1-1-1-11-1-1111-1
χ9222222−1−52−1+522−1−52−1+52−1−52−1−52−1+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+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+5222−1−52−1+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+5200000000
χ10222222−1−52−1+522−1−52−1+52−1−52−1−52−1+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+52−1+52−1+52−1−52−1−52−1+52−1+52-2-21+521+521+521+521−521−521−521−5222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-21+521+521−521−521+521+521−521−521+521+521−521−5200000000
χ11222222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+522-2-2−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000
χ12222222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+522-2-2−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52-2-21+521+521+521+521−521−521−521−52-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5222-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200000000
χ13222222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+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+52−1−52−1−5200000000
χ14222222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52-2-21−521−521−521−521+521+521+521+5222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-21−521−521+521+521−521−521+521+521−521−521+521+5200000000
χ15222222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−522-2-2−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000
χ16222222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−522-2-2−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52-2-21−521−521−521−521+521+521+521+52-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+5222-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000000
χ172222-2-222222-2-2-2-222i−2i22-2-222-2-2222i2i−2i−2i2i2i−2i−2i-2-2-2-200000000002i−2i22-2-22i2i−2i−2i2i2i−2i−2i00000000000000000000000
χ182222-2-222222-2-2-2-22−2i2i22-2-222-2-222−2i−2i2i2i−2i−2i2i2i-2-2-2-20000000000−2i2i22-2-2−2i−2i2i2i−2i−2i2i2i00000000000000000000000
χ192222-2-2−1−52−1+522−1−52−1+521+521+521−521−5222i−2i−1−52−1+52-2-2−1−52−1+521+521−52−1−52−1+52−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ941+521+521−521−5200−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ942i−2i−1−52−1+521+521−52−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94000−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+ζ116−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ9400000000
χ202222-2-2−1−52−1+522−1−52−1+521+521+521−521−5222i−2i−1−52−1+52-2-2−1−52−1+521+521−52−1−52−1+52−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ941+521+521−521−5200ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ942i−2i−1−52−1+521+521−52−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94000ζ28−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−ζ116ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ9400000000
χ212222-2-2−1−52−1+522−1−52−1+521+521+521−521−522−2i2i−1−52−1+52-2-2−1−52−1+521+521−52−1−52−1+52ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ941+521+521−521−5200−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94−2i2i−1−52−1+521+521−52ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94000ζ28−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−ζ116−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ9400000000
χ222222-2-2−1−52−1+522−1−52−1+521+521+521−521−522−2i2i−1−52−1+52-2-2−1−52−1+521+521−52−1−52−1+52ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ941+521+521−521−5200ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94−2i2i−1−52−1+521+521−52ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94000−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+ζ116ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ9400000000
χ232222-2-2−1+52−1−522−1+52−1−521−521−521+521+5222i−2i−1+52−1−52-2-2−1+52−1−521−521+52−1+52−1−52−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ1181−521−521+521+5200ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ1182i−2i−1+52−1−521−521+52−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118000−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−ζ92ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ11800000000
χ242222-2-2−1+52−1−522−1+52−1−521−521−521+521+5222i−2i−1+52−1−52-2-2−1+52−1−521−521+52−1+52−1−52−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ1181−521−521+521+5200−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ1182i−2i−1+52−1−521−521+52−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118000ζ4+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+ζ92−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ11800000000
χ252222-2-2−1+52−1−522−1+52−1−521−521−521+521+522−2i2i−1+52−1−52-2-2−1+52−1−521−521+52−1+52−1−52ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ1181−521−521+521+5200ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118−2i2i−1+52−1−521−521+52ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118000ζ4+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+ζ92ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ11800000000
χ262222-2-2−1+52−1−522−1+52−1−521−521−521+521+522−2i2i−1+52−1−52-2-2−1+52−1−521−521+52−1+52−1−52ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ1181−521−521+521+5200−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118−2i2i−1+52−1−521−521+52ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118000−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−ζ92−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ11800000000
χ27222-12222-1222222-12222-1-1-1-122-1-122222222-1-1-1-10000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000022-1-1-1-100
χ28222-12222-1222222-12222-1-1-1-122-1-122222222-1-1-1-10000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000-2-2111100
χ29222-12222-1222222-1-2-222-1-1-1-122-1-1-2-2-2-2-2-2-2-2-1-1-1-1000000000011-1-1-1-1111111110000000000000002-2-1-11100
χ30222-12222-1222222-1-2-222-1-1-1-122-1-1-2-2-2-2-2-2-2-2-1-1-1-1000000000011-1-1-1-111111111000000000000000-2211-1-100
χ31222-1-2-222-122-2-2-2-2-12i−2i2211-1-1-2-2-1-12i2i−2i−2i2i2i−2i−2i11110000000000−ii-1-111−i−iii−i−iii00000000000000000−i3i33−300
χ32222-1-2-222-122-2-2-2-2-12i−2i2211-1-1-2-2-1-12i2i−2i−2i2i2i−2i−2i11110000000000−ii-1-111−i−iii−i−iii00000000000000000i3−i3−3300
χ33222-1-2-222-122-2-2-2-2-1−2i2i2211-1-1-2-2-1-1−2i−2i2i2i−2i−2i2i2i11110000000000i−i-1-111ii−i−iii−i−i00000000000000000−i3i3−3300
χ34222-1-2-222-122-2-2-2-2-1−2i2i2211-1-1-2-2-1-1−2i−2i2i2i−2i−2i2i2i11110000000000i−i-1-111ii−i−iii−i−i00000000000000000i3−i33−300
χ3522-222-2222222222-200-2-22-222-2-222000000002222222222222200-2-2-2-20000000000-200000000-2-2-2-200000000
χ3622-222-2222222222-200-2-22-222-2-222000000002222-2-2-2-2-2-2-2-2-2-200-2-2-2-20000000000200000000222200000000
χ3722-222-2−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52-2001+521−522-2−1−52−1+521+521−52−1−52−1+52−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−1−52−1−52−1+52−1+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52001+521−521+521−52−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ11600-2−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ1161+521+521−521−5200000000
χ3822-222-2−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52-2001+521−522-2−1−52−1+521+521−52−1−52−1+52−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−1−52−1−52−1+52−1+52-2-21+521+521+521+521−521−521−521−52001+521−521+521−52−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116002ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−1−52−1−52−1+52−1+5200000000
χ3922-222-2−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52-2001+521−522-2−1−52−1+521+521−52−1−52−1+52ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−1−52−1−52−1+52−1+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52001+521−521+521−52ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ11600-2ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ1161+521+521−521−5200000000
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χ4122-222-2−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52-2001−521+522-2−1+52−1−521−521+52−1+52−1−52ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−1+52−1+52−1−52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52001−521+521−521+52ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ9200-2ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ921−521−521+521+5200000000
χ4222-222-2−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52-2001−521+522-2−1+52−1−521−521+52−1+52−1−52ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−1+52−1+52−1−52−1−52-2-21−521−521−521−521+521+521+521+52001−521+521−521+52ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92002−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−1+52−1+52−1−52−1−5200000000
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χ754-40400−1−5−1+5-41+51−5−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ1182ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ940000000−1−5−1+5001+51−500000000−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ1182ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ94−2i22i22ζ23+2ζ37+2ζ77+2ζ103−2ζ23−2ζ37−2ζ77−2ζ1032ζ7+2ζ13+2ζ47+2ζ53−2ζ7−2ζ13−2ζ47−2ζ532ζ61+2ζ79+2ζ101+2ζ119−2ζ61−2ζ79−2ζ101−2ζ1192ζ29+2ζ31+2ζ71+2ζ109−2ζ29−2ζ31−2ζ71−2ζ1090000000000000000000000000000000000000
χ764-40400−1−5−1+5-41+51−5−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ1182ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ940000000−1−5−1+5001+51−500000000−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ1182ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ942i2−2i2−2ζ23−2ζ37−2ζ77−2ζ1032ζ23+2ζ37+2ζ77+2ζ103−2ζ7−2ζ13−2ζ47−2ζ532ζ7+2ζ13+2ζ47+2ζ53−2ζ61−2ζ79−2ζ101−2ζ1192ζ61+2ζ79+2ζ101+2ζ119−2ζ29−2ζ31−2ζ71−2ζ1092ζ29+2ζ31+2ζ71+2ζ1090000000000000000000000000000000000000
χ774-40400−1−5−1+5-41+51−52ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ118−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ940000000−1−5−1+5001+51−5000000002ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ118−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ94−2i22i22ζ7+2ζ13+2ζ47+2ζ53−2ζ7−2ζ13−2ζ47−2ζ532ζ23+2ζ37+2ζ77+2ζ103−2ζ23−2ζ37−2ζ77−2ζ1032ζ29+2ζ31+2ζ71+2ζ109−2ζ29−2ζ31−2ζ71−2ζ1092ζ61+2ζ79+2ζ101+2ζ119−2ζ61−2ζ79−2ζ101−2ζ1190000000000000000000000000000000000000
χ784-40400−1−5−1+5-41+51−52ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ118−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ940000000−1−5−1+5001+51−5000000002ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ118−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ942i2−2i2−2ζ7−2ζ13−2ζ47−2ζ532ζ7+2ζ13+2ζ47+2ζ53−2ζ23−2ζ37−2ζ77−2ζ1032ζ23+2ζ37+2ζ77+2ζ103−2ζ29−2ζ31−2ζ71−2ζ1092ζ29+2ζ31+2ζ71+2ζ109−2ζ61−2ζ79−2ζ101−2ζ1192ζ61+2ζ79+2ζ101+2ζ1190000000000000000000000000000000000000
χ794-40400−1+5−1−5-41−51+52ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ942ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ1180000000−1+5−1−5001−51+5000000002ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ942ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ118−2i22i22ζ61+2ζ79+2ζ101+2ζ119−2ζ61−2ζ79−2ζ101−2ζ1192ζ29+2ζ31+2ζ71+2ζ109−2ζ29−2ζ31−2ζ71−2ζ1092ζ7+2ζ13+2ζ47+2ζ53−2ζ7−2ζ13−2ζ47−2ζ532ζ23+2ζ37+2ζ77+2ζ103−2ζ23−2ζ37−2ζ77−2ζ1030000000000000000000000000000000000000
χ804-40400−1+5−1−5-41−51+52ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ942ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ1180000000−1+5−1−5001−51+5000000002ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ942ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ1182i2−2i2−2ζ61−2ζ79−2ζ101−2ζ1192ζ61+2ζ79+2ζ101+2ζ119−2ζ29−2ζ31−2ζ71−2ζ1092ζ29+2ζ31+2ζ71+2ζ109−2ζ7−2ζ13−2ζ47−2ζ532ζ7+2ζ13+2ζ47+2ζ53−2ζ23−2ζ37−2ζ77−2ζ1032ζ23+2ζ37+2ζ77+2ζ1030000000000000000000000000000000000000
χ814-40400−1+5−1−5-41−51+5−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ94−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ1180000000−1+5−1−5001−51+500000000−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ94−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ118−2i22i22ζ29+2ζ31+2ζ71+2ζ109−2ζ29−2ζ31−2ζ71−2ζ1092ζ61+2ζ79+2ζ101+2ζ119−2ζ61−2ζ79−2ζ101−2ζ1192ζ23+2ζ37+2ζ77+2ζ103−2ζ23−2ζ37−2ζ77−2ζ1032ζ7+2ζ13+2ζ47+2ζ53−2ζ7−2ζ13−2ζ47−2ζ530000000000000000000000000000000000000
χ824-40400−1+5−1−5-41−51+5−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ94−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ1180000000−1+5−1−5001−51+500000000−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ94−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ1182i2−2i2−2ζ29−2ζ31−2ζ71−2ζ1092ζ29+2ζ31+2ζ71+2ζ109−2ζ61−2ζ79−2ζ101−2ζ1192ζ61+2ζ79+2ζ101+2ζ119−2ζ23−2ζ37−2ζ77−2ζ1032ζ23+2ζ37+2ζ77+2ζ103−2ζ7−2ζ13−2ζ47−2ζ532ζ7+2ζ13+2ζ47+2ζ530000000000000000000000000000000000000
χ838-80-400884-8-800000000000-4-4004400000000000000000000000000000000000000000000000000000000000
χ848-80-400−2−25−2+2542+252−25−4ζ22+4ζ38−4ζ62+4ζ1184ζ22−4ζ38+4ζ62−4ζ1184ζ14−4ζ46−4ζ86+4ζ94−4ζ14+4ζ46+4ζ86−4ζ9400000001+51−500−1−5−1+5000000002ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ118−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ9400000000000000000000000000000000000000000000000
χ858-80-400−2−25−2+2542+252−254ζ22−4ζ38+4ζ62−4ζ118−4ζ22+4ζ38−4ζ62+4ζ118−4ζ14+4ζ46+4ζ86−4ζ944ζ14−4ζ46−4ζ86+4ζ9400000001+51−500−1−5−1+500000000−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ1182ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ9400000000000000000000000000000000000000000000000
χ868-80-400−2+25−2−2542−252+254ζ14−4ζ46−4ζ86+4ζ94−4ζ14+4ζ46+4ζ86−4ζ944ζ22−4ζ38+4ζ62−4ζ118−4ζ22+4ζ38−4ζ62+4ζ11800000001−51+500−1+5−1−500000000−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ94−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ11800000000000000000000000000000000000000000000000
χ878-80-400−2+25−2−2542−252+25−4ζ14+4ζ46+4ζ86−4ζ944ζ14−4ζ46−4ζ86+4ζ94−4ζ22+4ζ38−4ζ62+4ζ1184ζ22−4ζ38+4ζ62−4ζ11800000001−51+500−1+5−1−5000000002ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ942ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ11800000000000000000000000000000000000000000000000

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