Finite Group Databasebeta

← Group #11747413

Character table — Group #11747413

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1111222222222222224444444444444444444488888888888888881010101010101212121212121212121220202020202020202024242424246060120
order12223445566610101010101044121212121212151520202020303030303030202020206060606060606060606060604412121212884040404040404040444121212121212420202020884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-111111-1-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ5111111111111111111-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1111-1-1-1-1-1-1-1-1-111-1
χ6111111111111111111-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111111-1-11
χ7111111111111111111-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-11111-1-1-1-1-1-1-11
χ8111111111111111111-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111111111111-1
χ92222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000022−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000000002−1−52−1−52−1+52−1+52000
χ102222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000-2-21+521+521+521+521−521−521−521−52000000000-21+521+521−521−52000
χ112222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5200000022−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000-21+521+521−521−52000
χ122222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52000000-2-21+521+521+521+521−521−521−521−520000000002−1−52−1−52−1+52−1+52000
χ132222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000022−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000000002−1+52−1+52−1−52−1−52000
χ142222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000-2-21−521−521−521−521+521+521+521+52000000000-21−521−521+521+52000
χ152222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+5200000022−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000-21−521−521+521+52000
χ162222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52000000-2-21−521−521−521−521+521+521+521+520000000002−1+52−1+52−1−52−1−52000
χ1722222-2-222222222222000000-2-222-2-2-2-22222220000-2-2-2-200000000222222000000000000-2-2-2000000000000
χ1822222-2-222222222222000000-2-222-2-2-2-22222220000-2-2-2-200000000-2-2-2-2-2-2000000000000222000000000000
χ192222-12222-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-10000000000222-1-1-1-1-1-100000000
χ202222-12222-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-211110000000000-2-2-211111100000000
χ212222-12222-1-1-1222222-2-21111-1-1-1-12222-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111122-1-1-1-10000000000-2-22-1-1111100000000
χ222222-12222-1-1-1222222-2-21111-1-1-1-12222-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111-2-21111000000000022-211-1-1-1-100000000
χ232222-1-2-222-1-1-122222200−i3−i3i3i311-1-1-2-2-2-2-1-1-1-1-1-100001111−i3−i3i3i3−i3−i3i3i322-1-1-1-1000000000000-211−i3−i3i3i300000000
χ242222-1-2-222-1-1-122222200−i3−i3i3i311-1-1-2-2-2-2-1-1-1-1-1-100001111−i3−i3i3i3−i3−i3i3i3-2-211110000000000002-1-1i3i3−i3−i300000000
χ252222-1-2-222-1-1-122222200i3i3−i3−i311-1-1-2-2-2-2-1-1-1-1-1-100001111i3i3−i3−i3i3i3−i3−i322-1-1-1-1000000000000-211i3i3−i3−i300000000
χ262222-1-2-222-1-1-122222200i3i3−i3−i311-1-1-2-2-2-2-1-1-1-1-1-100001111i3i3−i3−i3i3i3−i3−i3-2-211110000000000002-1-1−i3−i3i3i300000000
χ2722-2-2200222-2-222-2-2-2-20000000022000022-2-2-2-200000000000000002-222-2-22−222−2−222−2−2000000000000002−20
χ2822-2-2200222-2-222-2-2-2-20000000022000022-2-2-2-200000000000000002-222-2-2−22−2−222−2−22200000000000000−220
χ2922-2-2200222-2-222-2-2-2-20000000022000022-2-2-2-20000000000000000-22-2-2222−222−2−222−2−200000000000000−220
χ3022-2-2200222-2-222-2-2-2-20000000022000022-2-2-2-20000000000000000-22-2-222−22−2−222−2−222000000000000002−20
χ312-22-222-222-2-22-2-222-2-20000002-22222-2-2-2-222-2-200002-22-20000000000000000000000002-20002-22-200000000
χ322-22-222-222-2-22-2-222-2-20000002-22222-2-2-2-222-2-200002-22-2000000000000000000000000-22000-22-2200000000
χ332-22-22-2222-2-22-2-222-2-22i−2i2i−2i2i−2i-2222-2-222-2-222-2-22i−2i2i−2i-22-222i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000
χ342-22-22-2222-2-22-2-222-2-2−2i2i−2i2i−2i2i-2222-2-222-2-222-2-2−2i2i−2i2i-22-22−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000
χ352-22-22-22−1−52−1+52-2-221+521−52−1−52−1+521+521−522i−2i2i−2i2i−2i-22−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−52−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ941+52−1−521−52−1+52−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ9400000000−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+ζ1160000000000−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94000
χ362-22-22-22−1−52−1+52-2-221+521−52−1−52−1+521+521−522i−2i2i−2i2i−2i-22−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−52−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ941+52−1−521−52−1+52−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ9400000000ζ28−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−ζ1160000000000ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94000
χ372-22-22-22−1−52−1+52-2-221+521−52−1−52−1+521+521−52−2i2i−2i2i−2i2i-22−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−52ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ941+52−1−521−52−1+52ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ9400000000−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+ζ1160000000000ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94000
χ382-22-22-22−1−52−1+52-2-221+521−52−1−52−1+521+521−52−2i2i−2i2i−2i2i-22−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−52ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ941+52−1−521−52−1+52ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ9400000000ζ28−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−ζ1160000000000−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94000
χ392-22-22-22−1+52−1−52-2-221−521+52−1+52−1−521−521+522i−2i2i−2i2i−2i-22−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+52−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ1181−52−1+521+52−1−52−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ11800000000ζ4+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+ζ920000000000−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118000
χ402-22-22-22−1+52−1−52-2-221−521+52−1+52−1−521−521+522i−2i2i−2i2i−2i-22−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+52−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ1181−52−1+521+52−1−52−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ11800000000−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ920000000000ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118000
χ412-22-22-22−1+52−1−52-2-221−521+52−1+52−1−521−521+52−2i2i−2i2i−2i2i-22−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+52ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ1181−52−1+521+52−1−52ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ11800000000ζ4+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+ζ920000000000ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118000
χ422-22-22-22−1+52−1−52-2-221−521+52−1+52−1−521−521+52−2i2i−2i2i−2i2i-22−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+52ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ1181−52−1+521+52−1−52ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ11800000000−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ920000000000−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118000
χ432-22-2-12-22211-1-2-222-2-2003−3−33-11-1-122-2-211-1-1110000-11-113−3−333−3−33003−33−300000000002-203−3-11-1100000000
χ442-22-2-12-22211-1-2-222-2-2003−3−33-11-1-122-2-211-1-1110000-11-113−3−333−3−3300−33−330000000000-220−331-11-100000000
χ452-22-2-12-22211-1-2-222-2-200−333−3-11-1-122-2-211-1-1110000-11-11−333−3−333−3003−33−30000000000-2203−31-11-100000000
χ462-22-2-12-22211-1-2-222-2-200−333−3-11-1-122-2-211-1-1110000-11-11−333−3−333−300−33−3300000000002-20−33-11-1100000000
χ472-22-2-1-222211-1-2-222-2-22i−2i−ii−ii1-1-1-1-2-22211-1-1112i−2i2i−2i1-11-1−ii−ii−ii−ii003−33−30000000000000−33−i3i3i3−i300000000
χ482-22-2-1-222211-1-2-222-2-22i−2i−ii−ii1-1-1-1-2-22211-1-1112i−2i2i−2i1-11-1−ii−ii−ii−ii00−33−3300000000000003−3i3−i3−i3i300000000
χ492-22-2-1-222211-1-2-222-2-2−2i2ii−ii−i1-1-1-1-2-22211-1-111−2i2i−2i2i1-11-1i−ii−ii−ii−i003−33−30000000000000−33i3−i3−i3i300000000
χ502-22-2-1-222211-1-2-222-2-2−2i2ii−ii−i1-1-1-1-2-22211-1-111−2i2i−2i2i1-11-1i−ii−ii−ii−i00−33−3300000000000003−3−i3i3i3−i300000000
χ5144444-4-4−1−5−1+5444−1−5−1+5−1−5−1+5−1−5−1+5000000-4-4−1−5−1+51+51−51+51−5−1−5−1+5−1−5−1+5−1−5−1+500001+51+51−51−500000000000000000000000000000000000000000
χ5244444-4-4−1+5−1−5444−1+5−1−5−1+5−1−5−1+5−1−5000000-4-4−1+5−1−51−51+51−51+5−1+5−1−5−1+5−1−5−1+5−1−500001−51−51+51+500000000000000000000000000000000000000000
χ534444-244−1−5−1+5-2-2-2−1−5−1+5−1−5−1+5−1−5−1+544-2-2-2-2-2-21+521−52−1−5−1+5−1−5−1+51+521−521+521−521+521−52−1−5−1−5−1+5−1+51+521+521−521−521+521+521+521+521−521−521−521−52000000000000000000000000000000000
χ544444-244−1−5−1+5-2-2-2−1−5−1+5−1−5−1+5−1−5−1+5-4-42222-2-21+521−52−1−5−1+5−1−5−1+51+521−521+521−521+521−521+51+51−51−51+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000000000000000000000000000
χ554444-244−1+5−1−5-2-2-2−1+5−1−5−1+5−1−5−1+5−1−544-2-2-2-2-2-21−521+52−1+5−1−5−1+5−1−51−521+521−521+521−521+52−1+5−1+5−1−5−1−51−521−521+521+521−521−521−521−521+521+521+521+52000000000000000000000000000000000
χ564444-244−1+5−1−5-2-2-2−1+5−1−5−1+5−1−5−1+5−1−5-4-42222-2-21−521+52−1+5−1−5−1+5−1−51−521+521−521+521−521+521−51−51+51+51−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000000000000000000000000000
χ574444-2-4-4−1−5−1+5-2-2-2−1−5−1+5−1−5−1+5−1−5−1+500−2i3−2i32i32i3221+521−521+51−51+51−51+521−521+521−521+521−520000−1−52−1−52−1+52−1+52ζ28+ζ52−ζ68−ζ92ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ92−ζ28−ζ52+ζ68+ζ92ζ4−ζ44+ζ76−ζ116ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116−ζ4+ζ44−ζ76+ζ116000000000000000000000000000000000
χ584444-2-4-4−1−5−1+5-2-2-2−1−5−1+5−1−5−1+5−1−5−1+5002i32i3−2i3−2i3221+521−521+51−51+51−51+521−521+521−521+521−520000−1−52−1−52−1+52−1+52−ζ28−ζ52+ζ68+ζ92−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ92ζ28+ζ52−ζ68−ζ92−ζ4+ζ44−ζ76+ζ116−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ116ζ4−ζ44+ζ76−ζ116000000000000000000000000000000000
χ594444-2-4-4−1+5−1−5-2-2-2−1+5−1−5−1+5−1−5−1+5−1−500−2i3−2i32i32i3221−521+521−51+51−51+51−521+521−521+521−521+520000−1+52−1+52−1−52−1−52ζ4−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+ζ92000000000000000000000000000000000
χ604444-2-4-4−1+5−1−5-2-2-2−1+5−1−5−1+5−1−5−1+5−1−5002i32i3−2i3−2i3221−521+521−51+51−51+51−521+521−521+521−521+520000−1+52−1+52−1−52−1−52−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−ζ92000000000000000000000000000000000
χ6144-4-4400−1−5−1+54-4-4−1−5−1+51+51−51+51−500000000−1−5−1+50000−1−5−1+51+51−51+51−5000000000000000000000022−22−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ11900000000000000000
χ6244-4-4400−1−5−1+54-4-4−1−5−1+51+51−51+51−500000000−1−5−1+50000−1−5−1+51+51−51+51−50000000000000000000000−2222ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ11900000000000000000
χ6344-4-4400−1+5−1−54-4-4−1+5−1−51−51+51−51+500000000−1+5−1−50000−1+5−1−51−51+51−51+5000000000000000000000022−22ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ10300000000000000000
χ6444-4-4400−1+5−1−54-4-4−1+5−1−51−51+51−51+500000000−1+5−1−50000−1+5−1−51−51+51−51+50000000000000000000000−2222−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ10300000000000000000
χ6544-4-4-20044-22244-4-4-4-400000000-2-20000-2-2222200000000000000004-4-2-222000000000000000000000000000
χ6644-4-4-20044-22244-4-4-4-400000000-2-20000-2-222220000000000000000-4422-2-2000000000000000000000000000
χ674-44-444-4−1−5−1+5-4-441+51−5−1−5−1+51+51−50000004-4−1−5−1+5−1−5−1+51+51−51+51−5−1−5−1+51+51−50000−1−51+5−1+51−500000000000000000000000000000000000000000
χ684-44-444-4−1+5−1−5-4-441−51+5−1+5−1−51−51+50000004-4−1+5−1−5−1+5−1−51−51+51−51+5−1+5−1−51−51+50000−1+51−5−1−51+500000000000000000000000000000000000000000
χ694-44-4-24-4−1−5−1+522-21+51−5−1−5−1+51+51−50023−23−2323-221+521−52−1−5−1+51+51−5−1−52−1+521+521−52−1−52−1+5200001+52−1−521−52−1+52−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94000000000000000000000000000000000
χ704-44-4-24-4−1−5−1+522-21+51−5−1−5−1+51+51−500−232323−23-221+521−52−1−5−1+51+51−5−1−52−1+521+521−52−1−52−1+5200001+52−1−521−52−1+52ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94000000000000000000000000000000000
χ714-44-4-24-4−1+5−1−522-21−51+5−1+5−1−51−51+50023−23−2323-221−521+52−1+5−1−51−51+5−1+52−1−521−521+52−1+52−1−5200001−52−1+521+52−1−52ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118000000000000000000000000000000000
χ724-44-4-24-4−1+5−1−522-21−51+5−1+5−1−51−51+500−232323−23-221−521+52−1+5−1−51−51+5−1+52−1−521−521+52−1+52−1−5200001−52−1+521+52−1−52−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118000000000000000000000000000000000
χ734-44-4-2-44−1−5−1+522-21+51−5−1−5−1+51+51−54i−4i−2i2i−2i2i2-21+521−521+51−5−1−5−1+5−1−52−1+521+521−52−1−52−1+52−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94−1−521+52−1+521−52ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94000000000000000000000000000000000
χ744-44-4-2-44−1−5−1+522-21+51−5−1−5−1+51+51−5−4i4i2i−2i2i−2i2-21+521−521+51−5−1−5−1+5−1−52−1+521+521−52−1−52−1+522ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ1182ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ94−1−521+52−1+521−52−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94000000000000000000000000000000000
χ754-44-4-2-44−1+5−1−522-21−51+5−1+5−1−51−51+54i−4i−2i2i−2i2i2-21−521+521−51+5−1+5−1−5−1+52−1−521−521+52−1+52−1−52−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118−1+521−52−1−521+52ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118000000000000000000000000000000000
χ764-44-4-2-44−1+5−1−522-21−51+5−1+5−1−51−51+5−4i4i2i−2i2i−2i2-21−521+521−51+5−1+5−1−5−1+52−1−521−521+52−1+52−1−522ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ942ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ118−1+521−52−1−521+52−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118000000000000000000000000000000000
χ774-4-4440044-44-4-4-4-4-44400000000440000-4-4-4-4440000000000000000000000000000000000000000000000000
χ784-4-44400−1−5−1+5-44-41+51−51+51−5−1−5−1+500000000−1−5−1+500001+51−51+51−5−1−5−1+5000000000000000000000000−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ11900000000000000000
χ794-4-44400−1−5−1+5-44-41+51−51+51−5−1−5−1+500000000−1−5−1+500001+51−51+51−5−1−5−1+5000000000000000000000000ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ11900000000000000000
χ804-4-44400−1+5−1−5-44-41−51+51−51+5−1+5−1−500000000−1+5−1−500001−51+51−51+5−1+5−1−5000000000000000000000000ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ10300000000000000000
χ814-4-44400−1+5−1−5-44-41−51+51−51+5−1+5−1−500000000−1+5−1−500001−51+51−51+5−1+5−1−5000000000000000000000000−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ10300000000000000000
χ824-4-44-200442-22-4-4-4-44400000000-2-200002222-2-200000000000000000023−23−2323000000000000000000000000000
χ834-4-44-200442-22-4-4-4-44400000000-2-200002222-2-2000000000000000000−232323−23000000000000000000000000000
χ8488-8-8-400−2−25−2+25-444−2−25−2+252+252−252+252−25000000001+51−500001+51−5−1−5−1+5−1−5−1+50000000000000000000000000000000000000000000000000
χ8588-8-8-400−2+25−2−25-444−2+25−2−252−252+252−252+25000000001−51+500001−51+5−1+5−1−5−1+5−1−50000000000000000000000000000000000000000000000000
χ868-8-88-400−2−25−2+254-442+252−252+252−25−2−25−2+25000000001+51−50000−1−5−1+5−1−5−1+51+51−50000000000000000000000000000000000000000000000000
χ878-8-88-400−2+25−2−254-442−252+252−252+25−2+25−2−25000000001−51+50000−1+5−1−5−1+5−1−51−51+50000000000000000000000000000000000000000000000000

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