Hilbert modular form data - 6.6.1312625.1-11.1-d

Formats: - HTML - YAML - JSON - 2024-06-07T05:58:59.913806

• hmf_forms •

  Column	Type
  deg	smallint
  dimension	integer
  disc	bigint
  field_bad_primes	integer[]
  field_label	text
  is_CM	text
  is_base_change	text
  label	text
  label_nsuffix	smallint
  label_suffix	text
  level_bad_primes	integer[]
  level_ideal	text
  level_label	text
  level_norm	integer
  parallel_weight	smallint
  short_label	text
  weight	text

  
  {'deg': 6, 'dimension': 1, 'disc': 1312625, 'field_bad_primes': [5, 10501], 'field_label': '6.6.1312625.1', 'is_CM': 'no', 'is_base_change': 'no', 'label': '6.6.1312625.1-11.1-d', 'label_nsuffix': 3, 'label_suffix': 'd', 'level_bad_primes': [11], 'level_ideal': '[11, 11, w + 1]', 'level_label': '11.1', 'level_norm': 11, 'parallel_weight': 2, 'short_label': '11.1-d', 'weight': '[2, 2, 2, 2, 2, 2]'}
• hmf_hecke •

  Column	Type
  AL_eigenvalues	jsonb
  hecke_eigenvalues	jsonb
  hecke_polynomial	text
  label	text

  
  {'AL_eigenvalues': [['[11, 11, w + 1]', 1]], 'hecke_eigenvalues': [1, -1, -3, -4, 10, 8, 6, -10, 4, -14, 10, 8, 0, 8, 8, 8, -16, 6, -6, 14, -6, 10, 14, -2, 12, 20, -12, 2, -16, 16, 16, -16, -20, -4, 12, -4, -10, -26, -8, 24, 0, 8, -16, 4, 6, 2, 24, -26, -20, -20, 12, 12, 26, 16, -6, -2, -16, 16, 32, -32, -12, -2, -2, -34, -8, 0, -26, 4, 20, 6, 38, 14, -30, 30, 6, 26, -28, 36, -4, 12, 10, -30, -26, 6, -24, 8, 0, 40, -30, -14, -20, -20, -20, 44, 14, 30, -2, 30, 42, 12, 20, 44, -20, -4, -28, -38, 10, 42, 38, -36, 32, 16, 38, 2, -36, -44, -38, 22, 10, -12, -44, -28, 20, 44, -36, -50, 6, -10, -14, -22, -16, 0, 26, -12, 4, 36, -28, 4, -4, 0, 22, -22, 54, 28, -34, 30, -48, 48, -18, 20, 2, -14, 40, -8, 0, 48, -18, 30, -14, 50, 12, 40, -18, 14, 20, -52, -12, 30, 48, -48, 40, -48, 16, -24, -10, 30, 4, -22, 28, 34, 46, 26, -38, 22, -16, 10, 6, 50, -18, -8, 18, -46, 28, 44, -4, 0, 8, 10, 52, 44, -28, -60, -42, 58, -66, -38, -4, 2, -26, -46, 10, -8, -46, 34, 50, 6, 48, -36, 52, 32, -18, -62, 44, -72, 0, -40, 24, -52, -54, -2, 24, 8, 20, 4, -42, 54, -70, -60, 12, -22, -42, 2, 6, 70, -28, 68, 4, 44, -6, -34, -6, -38, 58, -70, 58, -78, 56, 14, -66, 58, 2, -22, 60, -36, -12, 32, 40, -16, 8, 0, 8, -32, 24, -18, -44, -28, -14, -66, 2, -64, -56, -20, -36, -24, 72, 40], 'hecke_polynomial': 'x', 'label': '6.6.1312625.1-11.1-d'}
• hmf_fields •

  Column	Type
  degree	smallint
  discriminant	bigint
  ideals	jsonb
  label	text
  narrow_class_no	smallint
  primes	jsonb

  
  {'degree': 6, 'discriminant': 1312625, 'ideals': ['[1, 1, 1]', '[4, 2, -w^5 + 6*w^3 + w^2 - 8*w - 2]', '[11, 11, w + 1]', '[16, 2, -w^5 + 6*w^3 + w^2 - 7*w - 2]', '[16, 4, -w^5 - w^4 + 7*w^3 + 5*w^2 - 11*w - 3]', '[19, 19, -w^3 + w^2 + 4*w - 3]', '[29, 29, 2*w^5 - 13*w^3 + 19*w - 2]', '[31, 31, -2*w^5 + 12*w^3 + w^2 - 16*w - 2]', '[41, 41, -w^5 + 7*w^3 + w^2 - 12*w - 2]', '[41, 41, 2*w^5 + w^4 - 13*w^3 - 5*w^2 + 19*w + 4]', '[44, 22, -2*w^5 + 13*w^3 - w^2 - 19*w + 4]', '[59, 59, -w^5 + 7*w^3 + w^2 - 11*w]', '[61, 61, w^5 - 7*w^3 + 10*w]', '[61, 61, -2*w^5 + 12*w^3 + w^2 - 16*w - 3]', '[64, 2, 2]', '[64, 8, 2*w^5 + w^4 - 14*w^3 - 4*w^2 + 23*w]', '[71, 71, -2*w^5 - w^4 + 12*w^3 + 5*w^2 - 16*w - 4]', '[71, 71, -3*w^5 - w^4 + 20*w^3 + 6*w^2 - 31*w - 5]', '[71, 71, -w^5 + 7*w^3 - w^2 - 12*w + 2]', '[76, 38, -2*w^5 - w^4 + 12*w^3 + 4*w^2 - 15*w]', '[79, 79, w^5 + w^4 - 7*w^3 - 5*w^2 + 10*w + 4]', '[79, 79, -w^5 - w^4 + 8*w^3 + 4*w^2 - 15*w + 1]', '[79, 79, 2*w^5 + w^4 - 13*w^3 - 5*w^2 + 20*w + 3]', '[89, 89, 2*w^5 + w^4 - 14*w^3 - 5*w^2 + 23*w + 1]', '[89, 89, -2*w^5 - w^4 + 12*w^3 + 5*w^2 - 15*w - 4]', '[89, 89, 2*w^5 + w^4 - 11*w^3 - 5*w^2 + 13*w + 3]', '[101, 101, w^5 + w^4 - 7*w^3 - 3*w^2 + 11*w - 2]', '[109, 109, w^5 + w^4 - 8*w^3 - 4*w^2 + 14*w]', '[116, 58, w^5 - w^4 - 6*w^3 + 4*w^2 + 8*w - 1]', '[121, 11, -w^5 - w^4 + 8*w^3 + 4*w^2 - 13*w - 2]', '[121, 121, 3*w^5 - 19*w^3 - w^2 + 27*w + 1]', '[124, 62, 2*w^5 + w^4 - 13*w^3 - 6*w^2 + 19*w + 5]', '[125, 5, -w^5 + 6*w^3 - 8*w - 2]', '[131, 131, -w^4 + 5*w^2 - w - 3]', '[131, 131, -w^5 - w^4 + 6*w^3 + 5*w^2 - 9*w - 3]', '[139, 139, 2*w^5 - w^4 - 11*w^3 + 4*w^2 + 12*w - 2]', '[149, 149, w^5 + w^4 - 7*w^3 - 5*w^2 + 9*w + 4]', '[151, 151, w^5 - 8*w^3 + 2*w^2 + 15*w - 6]', '[151, 151, -w^5 + 7*w^3 - 12*w + 3]', '[151, 151, w^5 - 5*w^3 + 4*w - 3]', '[151, 151, -w^4 + w^3 + 5*w^2 - 4*w - 5]', '[164, 82, -w^5 - w^4 + 6*w^3 + 5*w^2 - 9*w - 4]', '[164, 82, w^5 - 7*w^3 + 11*w + 2]', '[176, 22, w^5 - 8*w^3 + w^2 + 15*w - 4]', '[176, 44, -3*w^5 - w^4 + 19*w^3 + 6*w^2 - 26*w - 4]', '[179, 179, -3*w^5 - w^4 + 20*w^3 + 4*w^2 - 29*w - 1]', '[179, 179, -3*w^5 - 2*w^4 + 20*w^3 + 10*w^2 - 31*w - 6]', '[179, 179, -w^4 + 3*w^2 - 2*w + 2]', '[179, 179, 3*w^5 + w^4 - 18*w^3 - 4*w^2 + 23*w + 1]', '[181, 181, -2*w^5 - w^4 + 13*w^3 + 4*w^2 - 20*w + 1]', '[181, 181, w^5 - 8*w^3 + 14*w - 3]', '[191, 191, w^5 + w^4 - 7*w^3 - 6*w^2 + 11*w + 5]', '[199, 199, -2*w^5 - 2*w^4 + 14*w^3 + 10*w^2 - 23*w - 5]', '[199, 199, w^5 + w^4 - 8*w^3 - 6*w^2 + 14*w + 4]', '[199, 199, -w^5 + 6*w^3 + 2*w^2 - 8*w - 2]', '[199, 199, w^5 - w^4 - 6*w^3 + 4*w^2 + 8*w - 2]', '[209, 209, -w^4 + 5*w^2 + w - 3]', '[211, 211, -3*w^5 - 2*w^4 + 20*w^3 + 9*w^2 - 30*w - 5]', '[229, 229, 2*w^5 + w^4 - 14*w^3 - 4*w^2 + 22*w - 1]', '[229, 229, 4*w^5 + w^4 - 25*w^3 - 5*w^2 + 35*w + 1]', '[236, 118, w^5 + w^4 - 8*w^3 - 3*w^2 + 15*w]', '[239, 239, 2*w^4 - w^3 - 8*w^2 + 5*w + 2]', '[241, 241, w^4 - 3*w^2 + w - 2]', '[244, 122, -2*w^5 + w^4 + 11*w^3 - 3*w^2 - 14*w]', '[244, 122, -3*w^5 - w^4 + 21*w^3 + 5*w^2 - 33*w - 5]', '[251, 251, -3*w^5 - 2*w^4 + 21*w^3 + 9*w^2 - 33*w - 3]', '[251, 251, -3*w^5 - w^4 + 21*w^3 + 4*w^2 - 34*w + 1]', '[251, 251, -2*w^5 - 2*w^4 + 15*w^3 + 9*w^2 - 26*w - 4]', '[251, 251, 2*w^5 - 11*w^3 + w^2 + 12*w - 3]', '[256, 4, -w^5 - w^4 + 8*w^3 + 5*w^2 - 14*w - 3]', '[256, 4, -2*w^5 + 12*w^3 + 2*w^2 - 16*w - 4]', '[256, 16, 3*w^5 - 18*w^3 + 23*w - 1]', '[269, 269, -2*w^5 + 11*w^3 - w^2 - 12*w + 1]', '[271, 271, -w^5 + 5*w^3 - w^2 - 5*w + 3]', '[281, 281, w^4 - w^3 - 5*w^2 + 5*w + 5]', '[284, 142, -w^3 - w^2 + 3*w + 4]', '[284, 142, -3*w^5 - w^4 + 21*w^3 + 6*w^2 - 36*w - 4]', '[284, 142, 4*w^5 - 26*w^3 - w^2 + 39*w - 1]', '[289, 17, -2*w^5 - w^4 + 11*w^3 + 4*w^2 - 12*w - 2]', '[304, 38, -3*w^5 - w^4 + 18*w^3 + 5*w^2 - 24*w - 3]', '[304, 76, -3*w^5 - 2*w^4 + 20*w^3 + 9*w^2 - 30*w - 4]', '[311, 311, -3*w^5 + 19*w^3 - w^2 - 26*w + 4]', '[311, 311, -w^4 + 3*w^2 - w + 3]', '[311, 311, 3*w^5 - 19*w^3 + w^2 + 27*w - 4]', '[311, 311, w^5 + 2*w^4 - 7*w^3 - 10*w^2 + 12*w + 8]', '[316, 158, w^4 - 2*w^3 - 2*w^2 + 5*w - 4]', '[316, 158, 2*w^5 - w^4 - 12*w^3 + 2*w^2 + 17*w + 2]', '[316, 158, -2*w^5 - w^4 + 15*w^3 + 5*w^2 - 26*w - 4]', '[319, 319, -w^5 + 6*w^3 + 2*w^2 - 7*w - 4]', '[331, 331, -3*w^5 - w^4 + 19*w^3 + 4*w^2 - 27*w - 1]', '[341, 341, -3*w^5 + 19*w^3 - 26*w + 1]', '[349, 349, -2*w^5 - 2*w^4 + 14*w^3 + 8*w^2 - 22*w - 3]', '[349, 349, -2*w^5 - w^4 + 14*w^3 + 4*w^2 - 22*w + 2]', '[349, 349, 3*w^5 + w^4 - 19*w^3 - 6*w^2 + 25*w + 4]', '[356, 178, -2*w^5 - w^4 + 15*w^3 + 4*w^2 - 27*w - 1]', '[356, 178, 2*w^5 - 13*w^3 + 18*w - 1]', '[356, 178, 3*w^5 - 17*w^3 - w^2 + 22*w - 1]', '[359, 359, -4*w^5 - w^4 + 25*w^3 + 4*w^2 - 35*w + 2]', '[359, 359, 4*w^5 + w^4 - 25*w^3 - 6*w^2 + 34*w + 4]', '[361, 19, 2*w^5 - w^4 - 12*w^3 + 5*w^2 + 15*w - 6]', '[361, 361, 3*w^5 + w^4 - 20*w^3 - 6*w^2 + 31*w + 4]', '[379, 379, 2*w^5 + 2*w^4 - 14*w^3 - 8*w^2 + 23*w + 1]', '[379, 379, -2*w^5 - 2*w^4 + 14*w^3 + 10*w^2 - 23*w - 7]', '[389, 389, w^5 - w^4 - 4*w^3 + 5*w^2 + w - 3]', '[401, 401, -w^5 + w^4 + 7*w^3 - 4*w^2 - 12*w + 1]', '[401, 401, -3*w^5 - 2*w^4 + 20*w^3 + 8*w^2 - 31*w - 2]', '[401, 401, 2*w^5 + w^4 - 11*w^3 - 6*w^2 + 12*w + 5]', '[401, 401, -4*w^5 - w^4 + 26*w^3 + 4*w^2 - 38*w + 1]', '[404, 202, w^5 + 2*w^4 - 8*w^3 - 8*w^2 + 13*w + 5]', '[409, 409, -w^5 + w^4 + 7*w^3 - 4*w^2 - 11*w + 3]', '[409, 409, 3*w^5 - 17*w^3 - w^2 + 20*w + 2]', '[419, 419, -3*w^5 - w^4 + 21*w^3 + 4*w^2 - 33*w + 1]', '[419, 419, -2*w^5 + w^4 + 12*w^3 - 5*w^2 - 16*w + 4]', '[419, 419, -2*w^5 - 2*w^4 + 15*w^3 + 9*w^2 - 26*w - 3]', '[419, 419, w^2 + 2*w - 2]', '[421, 421, 3*w^5 + w^4 - 21*w^3 - 5*w^2 + 34*w]', '[421, 421, w^4 - 4*w^2 - 2*w + 2]', '[421, 421, -3*w^5 + 18*w^3 + w^2 - 24*w - 3]', '[421, 421, -2*w^5 + 14*w^3 + w^2 - 22*w + 1]', '[431, 431, 2*w^5 + w^4 - 13*w^3 - 3*w^2 + 18*w - 1]', '[431, 431, 3*w^5 + 2*w^4 - 20*w^3 - 8*w^2 + 30*w + 1]', '[431, 431, 2*w^5 + w^4 - 11*w^3 - 6*w^2 + 12*w + 7]', '[436, 218, -w^5 + w^4 + 5*w^3 - 3*w^2 - 7*w + 1]', '[439, 439, -3*w^5 + 19*w^3 + 2*w^2 - 27*w - 3]', '[451, 451, -2*w^5 - w^4 + 13*w^3 + 3*w^2 - 19*w + 1]', '[451, 451, -w^4 + 2*w^3 + 3*w^2 - 7*w + 4]', '[461, 461, -3*w^5 + 20*w^3 - w^2 - 30*w + 5]', '[461, 461, w^5 - 5*w^3 + 5*w - 3]', '[464, 58, -w^4 + 2*w^3 + 4*w^2 - 7*w - 3]', '[464, 116, 2*w^5 - w^4 - 11*w^3 + 5*w^2 + 12*w - 4]', '[484, 22, 2*w^5 - 2*w^4 - 9*w^3 + 5*w^2 + 9*w + 2]', '[484, 242, w^5 - w^4 - 5*w^3 + 5*w^2 + 5*w - 3]', '[491, 491, -w^5 - w^4 + 9*w^3 + 4*w^2 - 18*w + 1]', '[491, 491, 2*w^5 - w^4 - 12*w^3 + 3*w^2 + 15*w]', '[496, 62, 3*w^5 - 18*w^3 - w^2 + 23*w]', '[496, 124, -w^3 - w^2 + 5*w + 2]', '[499, 499, -3*w^5 - w^4 + 20*w^3 + 5*w^2 - 29*w - 3]', '[499, 499, -2*w^5 - w^4 + 12*w^3 + 4*w^2 - 16*w - 3]', '[500, 10, -2*w^5 + 11*w^3 + 3*w^2 - 13*w - 6]', '[509, 509, -w^5 + w^4 + 6*w^3 - 4*w^2 - 9*w]', '[509, 509, 2*w^5 - 14*w^3 + 24*w - 3]', '[509, 509, -2*w^5 - w^4 + 14*w^3 + 5*w^2 - 24*w]', '[509, 509, -2*w^5 - 2*w^4 + 14*w^3 + 9*w^2 - 22*w - 5]', '[524, 262, -2*w^5 + w^4 + 11*w^3 - 4*w^2 - 13*w + 3]', '[524, 262, -w^5 + w^4 + 4*w^3 - 4*w^2 - 2*w + 3]', '[551, 551, -w^5 + 6*w^3 - 10*w + 1]', '[556, 278, -6*w^5 - 2*w^4 + 41*w^3 + 8*w^2 - 64*w + 1]', '[569, 569, -2*w^5 + w^4 + 12*w^3 - 3*w^2 - 17*w + 3]', '[571, 571, -w^5 + w^4 + 5*w^3 - 4*w^2 - 5*w - 1]', '[571, 571, -w^5 - w^4 + 8*w^3 + 3*w^2 - 16*w + 2]', '[571, 571, -2*w^5 + 13*w^3 - 21*w + 2]', '[571, 571, 2*w^5 + w^4 - 12*w^3 - 7*w^2 + 15*w + 8]', '[571, 571, 2*w^5 + 2*w^4 - 13*w^3 - 10*w^2 + 19*w + 8]', '[571, 571, 2*w^5 - 12*w^3 + 15*w - 4]', '[589, 589, w^5 - 7*w^3 - w^2 + 9*w + 2]', '[596, 298, -2*w^5 + 13*w^3 + 2*w^2 - 18*w - 3]', '[601, 601, 3*w^5 + 2*w^4 - 21*w^3 - 9*w^2 + 33*w + 2]', '[601, 601, 3*w^5 + w^4 - 19*w^3 - 3*w^2 + 25*w - 4]', '[601, 601, -2*w^5 - 2*w^4 + 14*w^3 + 10*w^2 - 22*w - 5]', '[601, 601, -3*w^5 - w^4 + 18*w^3 + 6*w^2 - 23*w - 6]', '[604, 302, -4*w^5 + w^4 + 25*w^3 - 4*w^2 - 37*w + 7]', '[604, 302, -w^5 - w^4 + 9*w^3 + 2*w^2 - 18*w + 4]', '[604, 302, 5*w^5 + w^4 - 31*w^3 - 8*w^2 + 44*w + 8]', '[604, 302, 2*w^5 + w^4 - 13*w^3 - 7*w^2 + 20*w + 8]', '[619, 619, w^5 + w^4 - 7*w^3 - 5*w^2 + 13*w + 4]', '[631, 631, 2*w^5 + w^4 - 15*w^3 - 4*w^2 + 26*w - 1]', '[631, 631, -2*w^5 + 12*w^3 + w^2 - 14*w - 4]', '[641, 641, -w^5 + w^4 + 6*w^3 - 6*w^2 - 9*w + 7]', '[641, 641, -2*w^5 - w^4 + 13*w^3 + 7*w^2 - 19*w - 8]', '[649, 649, -2*w^5 + 15*w^3 + 2*w^2 - 23*w - 1]', '[656, 82, -w^5 - w^4 + 6*w^3 + 5*w^2 - 6*w - 3]', '[656, 82, w^5 + w^4 - 6*w^3 - 3*w^2 + 8*w - 3]', '[656, 164, 4*w^5 + w^4 - 25*w^3 - 6*w^2 + 35*w + 5]', '[656, 164, w^5 - 6*w^3 - w^2 + 6*w + 4]', '[659, 659, 2*w^5 - w^4 - 12*w^3 + 4*w^2 + 16*w - 4]', '[659, 659, 2*w^5 - 13*w^3 + 20*w - 4]', '[661, 661, -2*w^5 - w^4 + 13*w^3 + 3*w^2 - 19*w]', '[661, 661, -w^5 - w^4 + 6*w^3 + 7*w^2 - 8*w - 8]', '[661, 661, -3*w^5 - 2*w^4 + 21*w^3 + 10*w^2 - 34*w - 5]', '[671, 671, 2*w^5 - 14*w^3 - 2*w^2 + 22*w + 1]', '[671, 671, 4*w^5 + 2*w^4 - 27*w^3 - 9*w^2 + 43*w + 5]', '[691, 691, 3*w^5 + w^4 - 20*w^3 - 3*w^2 + 31*w - 3]', '[691, 691, 5*w^5 + 2*w^4 - 34*w^3 - 9*w^2 + 54*w + 3]', '[691, 691, -2*w^5 - w^4 + 13*w^3 + 5*w^2 - 22*w - 1]', '[691, 691, 3*w^5 + w^4 - 19*w^3 - 5*w^2 + 28*w]', '[691, 691, w^5 + w^4 - 8*w^3 - 3*w^2 + 14*w - 4]', '[691, 691, -w^5 - 2*w^4 + 8*w^3 + 9*w^2 - 15*w - 5]', '[701, 701, -3*w^5 - w^4 + 19*w^3 + 7*w^2 - 26*w - 11]', '[704, 22, 2*w + 2]', '[704, 88, -w^5 - 2*w^4 + 8*w^3 + 8*w^2 - 15*w - 3]', '[709, 709, -w^5 + 7*w^3 - w^2 - 13*w + 4]', '[709, 709, -w^5 + 4*w^3 - 2*w - 4]', '[709, 709, 2*w^5 + 2*w^4 - 15*w^3 - 8*w^2 + 27*w + 1]', '[709, 709, -w^5 - w^4 + 6*w^3 + 6*w^2 - 7*w - 4]', '[716, 358, 3*w^5 - 2*w^4 - 17*w^3 + 6*w^2 + 23*w]', '[716, 358, -2*w^5 - w^4 + 15*w^3 + 6*w^2 - 27*w - 7]', '[716, 358, 2*w^5 - 11*w^3 - w^2 + 13*w + 4]', '[716, 358, 2*w^5 - 14*w^3 + w^2 + 21*w - 1]', '[719, 719, -w^4 + w^3 + 4*w^2 - 3*w + 2]', '[719, 719, -3*w^5 - w^4 + 20*w^3 + 6*w^2 - 32*w - 2]', '[724, 362, 2*w^3 - w^2 - 7*w + 3]', '[724, 362, -2*w^5 + 13*w^3 - w^2 - 21*w + 4]', '[729, 3, -3]', '[739, 739, w^5 + 2*w^4 - 7*w^3 - 9*w^2 + 11*w + 7]', '[739, 739, -3*w^5 - 2*w^4 + 21*w^3 + 10*w^2 - 34*w - 6]', '[739, 739, w^5 + w^4 - 6*w^3 - 3*w^2 + 9*w - 3]', '[739, 739, w^4 + w^3 - 4*w^2 - 2*w + 1]', '[739, 739, -3*w^5 + 18*w^3 + w^2 - 23*w + 1]', '[739, 739, 3*w^5 - 18*w^3 - 2*w^2 + 24*w + 5]', '[751, 751, -w^5 + w^4 + 5*w^3 - 5*w^2 - 5*w + 2]', '[761, 761, -w^5 - 2*w^4 + 8*w^3 + 8*w^2 - 15*w - 4]', '[761, 761, -w^5 + 6*w^3 - 6*w + 2]', '[764, 382, -w^4 + w^3 + 5*w^2 - 4*w - 6]', '[769, 769, w^3 - 2*w^2 - 3*w + 3]', '[779, 779, w^4 - 3*w^2 + 2*w + 2]', '[779, 779, -w^5 + w^4 + 6*w^3 - 6*w^2 - 7*w + 5]', '[781, 781, -5*w^5 - 3*w^4 + 31*w^3 + 13*w^2 - 44*w - 6]', '[781, 781, 6*w^5 + w^4 - 38*w^3 - 6*w^2 + 54*w + 5]', '[781, 781, -2*w^5 + 13*w^3 - w^2 - 22*w + 1]', '[796, 398, 6*w^5 + w^4 - 41*w^3 - 4*w^2 + 65*w - 3]', '[796, 398, -w^5 - w^4 + 7*w^3 + 5*w^2 - 13*w - 5]', '[796, 398, 3*w^5 + w^4 - 21*w^3 - 4*w^2 + 34*w - 2]', '[796, 398, -3*w^5 - w^4 + 21*w^3 + 3*w^2 - 33*w + 1]', '[811, 811, -3*w^5 + 19*w^3 + w^2 - 25*w - 1]', '[829, 829, -2*w^5 + w^4 + 13*w^3 - 4*w^2 - 19*w + 2]', '[829, 829, 3*w^5 + w^4 - 20*w^3 - 4*w^2 + 29*w - 1]', '[836, 418, w^4 - 3*w^3 - 3*w^2 + 10*w - 2]', '[839, 839, -2*w^5 - w^4 + 15*w^3 + 5*w^2 - 25*w - 1]', '[839, 839, -w^5 + 6*w^3 + 2*w^2 - 6*w - 6]', '[841, 29, 4*w^5 + 2*w^4 - 27*w^3 - 10*w^2 + 41*w + 5]', '[841, 841, w^2 + 1]', '[844, 422, 2*w^5 - w^4 - 12*w^3 + w^2 + 18*w + 5]', '[859, 859, -2*w^5 + 13*w^3 - 17*w + 2]', '[869, 869, 3*w^5 + w^4 - 19*w^3 - 7*w^2 + 26*w + 5]', '[869, 869, -5*w^5 - 2*w^4 + 31*w^3 + 9*w^2 - 45*w - 4]', '[869, 869, 5*w^5 + 2*w^4 - 32*w^3 - 9*w^2 + 47*w + 5]', '[881, 881, -2*w^5 - 2*w^4 + 14*w^3 + 8*w^2 - 23*w - 3]', '[881, 881, w^5 - 7*w^3 + w^2 + 11*w]', '[899, 899, -3*w^5 + 21*w^3 - 34*w]', '[911, 911, 4*w^5 - 25*w^3 + 35*w - 3]', '[911, 911, 6*w^5 + 2*w^4 - 39*w^3 - 11*w^2 + 58*w + 5]', '[916, 458, -w^5 + w^4 + 6*w^3 - 4*w^2 - 10*w + 3]', '[916, 458, -w^5 + 9*w^3 - w^2 - 18*w + 1]', '[919, 919, w^4 + w^3 - 6*w^2 - 3*w + 6]', '[919, 919, -3*w^5 + 17*w^3 - 20*w + 1]', '[929, 929, -w^3 + 2*w^2 + 3*w - 8]', '[941, 941, 2*w^5 + 2*w^4 - 15*w^3 - 8*w^2 + 27*w]', '[941, 941, 2*w^5 + w^4 - 15*w^3 - 3*w^2 + 25*w - 3]', '[944, 118, w^4 - 2*w^2 + 3*w - 1]', '[944, 236, -w^4 + w^3 + 5*w^2 - 2*w - 2]', '[956, 478, 2*w^5 - 12*w^3 + w^2 + 15*w - 1]', '[961, 31, -3*w^5 - w^4 + 18*w^3 + 6*w^2 - 21*w - 6]', '[961, 961, -w^3 - w^2 + 2*w + 4]', '[964, 482, 3*w^5 + w^4 - 19*w^3 - 5*w^2 + 27*w + 5]', '[971, 971, -w^5 + 4*w^3 + 2*w^2 - 5]', '[976, 122, -w^5 + w^4 + 4*w^3 - 5*w^2 - 2*w + 1]', '[976, 122, -w^5 + w^4 + 6*w^3 - 3*w^2 - 6*w - 3]', '[976, 244, -w^4 + 2*w^3 + 3*w^2 - 8*w + 1]', '[976, 244, -w^5 - w^4 + 8*w^3 + 6*w^2 - 16*w - 5]', '[979, 979, 5*w^5 + 4*w^4 - 30*w^3 - 16*w^2 + 40*w + 5]', '[979, 979, 5*w^5 + w^4 - 33*w^3 - 6*w^2 + 48*w + 3]', '[979, 979, 2*w^5 + 2*w^4 - 14*w^3 - 10*w^2 + 23*w + 8]', '[991, 991, -2*w^5 - 3*w^4 + 14*w^3 + 13*w^2 - 22*w - 6]', '[1004, 502, 2*w^5 - w^4 - 12*w^3 + 2*w^2 + 19*w + 2]', '[1004, 502, 5*w^5 - 33*w^3 - w^2 + 52*w - 1]', '[1004, 502, 3*w^5 - 19*w^3 - 3*w^2 + 30*w + 5]', '[1004, 502, 2*w^5 + 2*w^4 - 13*w^3 - 10*w^2 + 20*w + 7]', '[1009, 1009, -3*w^5 + 17*w^3 - 20*w]', '[1009, 1009, 4*w^5 - 25*w^3 + 35*w - 1]', '[1019, 1019, -3*w^5 + 17*w^3 + 2*w^2 - 20*w - 4]', '[1019, 1019, -w^5 + 5*w^3 - w^2 - 3*w + 1]', '[1019, 1019, -w^3 + 2*w^2 + 5*w - 5]', '[1021, 1021, 2*w^5 + w^4 - 13*w^3 - 4*w^2 + 18*w + 3]', '[1024, 4, -2*w^5 + 12*w^3 + 2*w^2 - 14*w - 4]', '[1024, 8, -2*w^5 - 2*w^4 + 14*w^3 + 10*w^2 - 22*w - 6]', '[1024, 32, -w^5 + w^4 + 7*w^3 - 5*w^2 - 11*w + 3]', '[1031, 1031, 2*w^5 - 11*w^3 - 2*w^2 + 12*w + 6]', '[1031, 1031, 2*w^5 - 14*w^3 + w^2 + 23*w - 2]', '[1039, 1039, w^4 - 2*w^3 - 5*w^2 + 7*w + 5]', '[1039, 1039, 2*w^5 - w^4 - 11*w^3 + 5*w^2 + 13*w - 5]', '[1039, 1039, -w^5 - w^4 + 7*w^3 + 6*w^2 - 13*w - 6]', '[1039, 1039, 4*w^5 + w^4 - 23*w^3 - 5*w^2 + 28*w + 3]', '[1049, 1049, -w^5 + w^4 + 6*w^3 - 6*w^2 - 9*w + 6]', '[1049, 1049, -3*w^5 + 19*w^3 + w^2 - 25*w + 2]', '[1051, 1051, w^5 + w^4 - 7*w^3 - 2*w^2 + 12*w - 5]', '[1069, 1069, w^5 + 2*w^4 - 7*w^3 - 9*w^2 + 12*w + 6]', '[1076, 538, -2*w^4 + w^3 + 8*w^2 - 4*w - 3]', '[1084, 542, 2*w^5 + w^4 - 12*w^3 - 6*w^2 + 17*w + 6]', '[1091, 1091, -4*w^5 + w^4 + 24*w^3 - 4*w^2 - 30*w + 2]', '[1109, 1109, w^5 + w^4 - 5*w^3 - 5*w^2 + 6*w + 3]', '[1111, 1111, 3*w^5 + w^4 - 17*w^3 - 4*w^2 + 21*w - 1]', '[1121, 1121, -2*w^5 + 12*w^3 + 2*w^2 - 15*w - 4]', '[1124, 562, -3*w^5 - 2*w^4 + 21*w^3 + 11*w^2 - 34*w - 9]', '[1129, 1129, -3*w^5 + 19*w^3 + 2*w^2 - 26*w - 3]', '[1129, 1129, -2*w^5 - w^4 + 14*w^3 + 2*w^2 - 22*w + 2]', '[1129, 1129, 2*w^5 - 11*w^3 - 2*w^2 + 11*w + 3]', '[1129, 1129, -4*w^5 - 2*w^4 + 25*w^3 + 11*w^2 - 35*w - 11]', '[1136, 142, -3*w^5 - 2*w^4 + 18*w^3 + 7*w^2 - 25*w + 2]', '[1136, 142, w^5 - 2*w^4 - 2*w^3 + 9*w^2 - 9*w - 2]', '[1136, 142, 3*w^5 - 20*w^3 - w^2 + 29*w - 2]', '[1136, 284, -3*w^5 - w^4 + 18*w^3 + 3*w^2 - 23*w + 4]', '[1136, 284, -w^5 + 2*w^4 + 5*w^3 - 8*w^2 - 3*w - 2]', '[1136, 284, 4*w^5 + w^4 - 27*w^3 - 4*w^2 + 41*w - 3]', '[1151, 1151, 2*w^5 + w^4 - 14*w^3 - 5*w^2 + 21*w + 4]', '[1156, 34, 3*w^5 + 2*w^4 - 20*w^3 - 8*w^2 + 31*w + 1]', '[1159, 1159, w^5 + 2*w^4 - 9*w^3 - 9*w^2 + 18*w + 4]', '[1159, 1159, 3*w^5 + w^4 - 21*w^3 - 4*w^2 + 36*w - 3]', '[1181, 1181, w^5 - 7*w^3 + w^2 + 12*w]', '[1189, 1189, -2*w^5 + 14*w^3 - 23*w + 4]', '[1189, 1189, 2*w^5 - 11*w^3 - 2*w^2 + 13*w + 5]', '[1199, 1199, 3*w^5 - 19*w^3 - 2*w^2 + 26*w + 1]', '[1201, 1201, w^5 + 2*w^4 - 6*w^3 - 9*w^2 + 8*w + 5]', '[1216, 38, -2*w^3 + 2*w^2 + 8*w - 6]', '[1216, 152, 2*w^5 - 11*w^3 + w^2 + 13*w - 4]', '[1229, 1229, w^5 + 2*w^4 - 8*w^3 - 10*w^2 + 14*w + 6]', '[1229, 1229, 2*w^5 + w^4 - 13*w^3 - 5*w^2 + 17*w + 4]', '[1231, 1231, -2*w^5 - 2*w^4 + 15*w^3 + 9*w^2 - 25*w - 3]', '[1244, 622, 2*w^5 - 2*w^4 - 12*w^3 + 9*w^2 + 17*w - 7]', '[1244, 622, -5*w^5 - w^4 + 33*w^3 + 6*w^2 - 52*w - 2]', '[1244, 622, -3*w^5 + w^4 + 20*w^3 - 5*w^2 - 31*w + 6]', '[1244, 622, -w^4 + w^3 + 7*w^2 - 4*w - 10]', '[1249, 1249, -2*w^5 - 2*w^4 + 14*w^3 + 10*w^2 - 21*w - 7]', '[1249, 1249, -w^5 - w^4 + 7*w^3 + 7*w^2 - 11*w - 8]', '[1259, 1259, w^3 + w^2 - 3*w - 5]', '[1259, 1259, -w^5 - w^4 + 9*w^3 + 3*w^2 - 19*w + 2]', '[1259, 1259, -w^4 + w^3 + 3*w^2 - 3*w + 4]', '[1264, 158, 2*w^5 + w^4 - 14*w^3 - 4*w^2 + 21*w - 3]', '[1264, 158, -w^5 - 2*w^4 + 6*w^3 + 7*w^2 - 9*w]', '[1264, 158, w^5 - 4*w^3 + w^2 + w - 2]', '[1264, 316, 3*w^5 - 18*w^3 + 23*w - 5]', '[1264, 316, -w^5 + 4*w^3 - w + 1]', '[1264, 316, w^4 - 3*w^2 - 3]', '[1271, 1271, w^3 - 3*w + 4]', '[1271, 1271, w^5 - 4*w^3 - w^2 + w + 3]', '[1276, 638, 3*w^5 - 18*w^3 + 25*w - 1]', '[1279, 1279, -5*w^5 - 2*w^4 + 35*w^3 + 9*w^2 - 57*w - 2]', '[1279, 1279, 3*w^5 + 2*w^4 - 20*w^3 - 9*w^2 + 31*w + 5]', '[1289, 1289, -w^5 + w^4 + 5*w^3 - 5*w^2 - 6*w + 4]', '[1291, 1291, w^5 + w^4 - 7*w^3 - 3*w^2 + 10*w - 4]', '[1291, 1291, -w^5 - w^4 + 9*w^3 + 3*w^2 - 18*w + 4]', '[1291, 1291, 2*w^5 - 13*w^3 + 17*w]', '[1291, 1291, -5*w^5 - 3*w^4 + 32*w^3 + 15*w^2 - 46*w - 8]', '[1321, 1321, w^4 - w^3 - 4*w^2 + 2*w - 1]', '[1321, 1321, 2*w^5 - 2*w^4 - 12*w^3 + 8*w^2 + 14*w - 3]', '[1321, 1321, 3*w^5 - 19*w^3 - 2*w^2 + 26*w + 4]', '[1321, 1321, -2*w^5 - w^4 + 12*w^3 + 3*w^2 - 15*w + 1]', '[1324, 662, 2*w^5 - w^4 - 13*w^3 + 3*w^2 + 20*w]', '[1331, 11, -3*w^5 + 19*w^3 + 3*w^2 - 27*w - 3]', '[1331, 11, -3*w^5 + 18*w^3 - 24*w + 1]', '[1331, 1331, -2*w^5 + w^4 + 11*w^3 - 2*w^2 - 12*w - 2]', '[1349, 1349, -w^4 + w^3 + 6*w^2 - 4*w - 10]', '[1349, 1349, -4*w^5 - w^4 + 26*w^3 + 3*w^2 - 39*w + 6]', '[1349, 1349, 5*w^5 - w^4 - 30*w^3 + 4*w^2 + 37*w]', '[1361, 1361, -4*w^5 - w^4 + 25*w^3 + 6*w^2 - 35*w - 6]', '[1364, 682, -2*w^5 + 13*w^3 + w^2 - 19*w + 2]', '[1375, 55, -2*w^5 - w^4 + 13*w^3 + 4*w^2 - 17*w + 2]', '[1381, 1381, -2*w^5 - 3*w^4 + 14*w^3 + 14*w^2 - 24*w - 6]', '[1381, 1381, -3*w^5 - w^4 + 19*w^3 + 4*w^2 - 28*w + 3]', '[1381, 1381, 2*w^5 + w^4 - 12*w^3 - 3*w^2 + 15*w - 3]', '[1396, 698, 3*w^5 + 2*w^4 - 23*w^3 - 8*w^2 + 39*w + 2]', '[1396, 698, -w^4 + 5*w^2 + 2*w - 5]', '[1396, 698, -w^5 - w^4 + 7*w^3 + 4*w^2 - 10*w + 2]', '[1399, 1399, 4*w^5 + 2*w^4 - 27*w^3 - 10*w^2 + 44*w + 4]', '[1409, 1409, 2*w^5 - 14*w^3 + 21*w - 1]', '[1424, 178, w^5 - w^4 - 4*w^3 + 3*w^2 - 2*w + 1]', '[1424, 178, -w^5 - w^4 + 8*w^3 + 3*w^2 - 16*w + 1]', '[1424, 178, 6*w^5 + 3*w^4 - 36*w^3 - 12*w^2 + 49*w + 1]', '[1424, 356, 2*w^4 - w^3 - 9*w^2 + 3*w + 2]', '[1424, 356, -2*w^5 + w^4 + 12*w^3 - 4*w^2 - 17*w + 2]', '[1424, 356, 6*w^5 + 3*w^4 - 38*w^3 - 12*w^2 + 53*w]', '[1429, 1429, -3*w^5 - w^4 + 20*w^3 + 6*w^2 - 29*w - 5]', '[1429, 1429, -3*w^5 + 18*w^3 - w^2 - 23*w + 3]', '[1429, 1429, w^4 - 2*w^2 - 2*w - 5]', '[1436, 718, -w^4 - 2*w^3 + 6*w^2 + 7*w - 6]', '[1436, 718, -w^5 + 8*w^3 - 15*w - 3]', '[1439, 1439, 3*w^5 + 3*w^4 - 19*w^3 - 14*w^2 + 27*w + 5]', '[1441, 1441, -3*w^5 - 2*w^4 + 18*w^3 + 8*w^2 - 24*w - 4]', '[1441, 1441, -w^5 - w^4 + 5*w^3 + 4*w^2 - 4*w - 3]', '[1444, 38, -w^5 + w^4 + 7*w^3 - 7*w^2 - 11*w + 9]', '[1444, 722, w^4 - 5*w^2 + 2*w + 5]', '[1451, 1451, w^5 + 2*w^4 - 10*w^3 - 6*w^2 + 22*w - 4]', '[1459, 1459, -w^5 + w^4 + 7*w^3 - 5*w^2 - 10*w + 4]', '[1471, 1471, -w^5 - 2*w^4 + 9*w^3 + 9*w^2 - 17*w - 6]', '[1481, 1481, 2*w^5 + w^4 - 14*w^3 - 5*w^2 + 21*w + 5]', '[1489, 1489, 3*w^5 - w^4 - 17*w^3 + 3*w^2 + 22*w - 2]', '[1499, 1499, -2*w^4 + w^3 + 8*w^2 - 3*w - 4]', '[1501, 1501, -3*w^5 - 2*w^4 + 21*w^3 + 8*w^2 - 34*w - 1]', '[1501, 1501, 4*w^5 - 25*w^3 + 35*w - 2]', '[1501, 1501, 3*w^5 + w^4 - 21*w^3 - 2*w^2 + 33*w - 8]', '[1511, 1511, 3*w^5 - 18*w^3 - 2*w^2 + 23*w + 4]', '[1511, 1511, w^5 + 2*w^4 - 8*w^3 - 10*w^2 + 14*w + 8]', '[1511, 1511, w^5 + 2*w^4 - 10*w^3 - 7*w^2 + 22*w - 3]', '[1511, 1511, 5*w^5 + w^4 - 29*w^3 - 5*w^2 + 34*w + 4]', '[1516, 758, -w^4 + 3*w^2 + 2*w - 1]', '[1516, 758, 2*w^5 + w^4 - 14*w^3 - 7*w^2 + 24*w + 9]', '[1529, 1529, -w^5 - 2*w^4 + 4*w^3 + 10*w^2 + w - 4]', '[1531, 1531, 2*w^4 - 3*w^3 - 8*w^2 + 8*w + 2]', '[1549, 1549, -4*w^5 + 27*w^3 - 41*w + 6]', '[1549, 1549, w^5 + w^4 - 7*w^3 - 4*w^2 + 13*w + 5]', '[1556, 778, w^5 + w^4 - 6*w^3 - 6*w^2 + 10*w + 5]', '[1559, 1559, 2*w^5 - 11*w^3 + w^2 + 12*w - 4]', '[1559, 1559, -w^5 + 6*w^3 + w^2 - 10*w - 3]', '[1571, 1571, w^3 + 2*w^2 - 4*w - 6]', '[1579, 1579, 2*w^5 + 2*w^4 - 15*w^3 - 11*w^2 + 26*w + 8]', '[1601, 1601, -w^5 + 8*w^3 - 2*w^2 - 16*w + 3]', '[1601, 1601, 3*w^5 + 2*w^4 - 19*w^3 - 7*w^2 + 27*w - 2]', '[1604, 802, 7*w^5 + 2*w^4 - 47*w^3 - 9*w^2 + 72*w + 3]', '[1604, 802, 2*w^5 - w^4 - 13*w^3 + 2*w^2 + 21*w + 1]', '[1604, 802, -w^4 + 2*w^3 + 4*w^2 - 7*w - 4]', '[1604, 802, 3*w^5 - w^4 - 20*w^3 + 4*w^2 + 32*w - 3]', '[1609, 1609, -5*w^5 - 2*w^4 + 32*w^3 + 10*w^2 - 47*w - 2]', '[1616, 202, 3*w^5 + 2*w^4 - 18*w^3 - 9*w^2 + 23*w + 6]', '[1616, 404, 3*w^5 + 2*w^4 - 18*w^3 - 11*w^2 + 24*w + 8]', '[1619, 1619, 4*w^5 + 3*w^4 - 25*w^3 - 14*w^2 + 35*w + 8]', '[1619, 1619, -2*w^5 + 13*w^3 - 17*w + 1]', '[1621, 1621, -5*w^5 - 3*w^4 + 34*w^3 + 15*w^2 - 53*w - 7]', '[1621, 1621, 4*w^5 + 2*w^4 - 26*w^3 - 7*w^2 + 38*w - 5]', '[1636, 818, 4*w^5 + w^4 - 27*w^3 - 3*w^2 + 42*w - 2]', '[1636, 818, -2*w^3 + w^2 + 5*w + 1]', '[1639, 1639, -4*w^5 - w^4 + 26*w^3 + 4*w^2 - 40*w + 1]', '[1661, 1661, -w^5 + 6*w^3 + w^2 - 9*w - 5]', '[1661, 1661, 2*w^5 - 14*w^3 + 21*w - 2]', '[1661, 1661, 2*w^5 + 2*w^4 - 12*w^3 - 8*w^2 + 13*w - 2]', '[1661, 1661, 2*w^5 - w^4 - 13*w^3 + 5*w^2 + 21*w - 5]', '[1669, 1669, w^5 + w^4 - 9*w^3 - 4*w^2 + 17*w - 1]', '[1676, 838, 4*w^5 - w^4 - 25*w^3 + 3*w^2 + 38*w - 2]', '[1676, 838, 4*w^5 - 27*w^3 + w^2 + 41*w - 4]', '[1676, 838, 3*w^5 + 3*w^4 - 23*w^3 - 11*w^2 + 39*w + 1]', '[1676, 838, -2*w^5 - w^4 + 15*w^3 + 4*w^2 - 25*w + 1]', '[1681, 41, 4*w^5 - 24*w^3 - 2*w^2 + 33*w + 5]', '[1681, 41, 2*w^5 + w^4 - 15*w^3 - 3*w^2 + 24*w - 1]', '[1681, 41, 2*w^4 - 2*w^3 - 9*w^2 + 6*w + 4]', '[1681, 1681, -3*w^5 - w^4 + 19*w^3 + 3*w^2 - 27*w + 2]', '[1681, 1681, -2*w^5 - 2*w^4 + 14*w^3 + 9*w^2 - 23*w - 6]', '[1684, 842, -4*w^5 - w^4 + 28*w^3 + 4*w^2 - 47*w]', '[1684, 842, 4*w^5 + 3*w^4 - 30*w^3 - 11*w^2 + 50*w + 1]', '[1684, 842, 4*w^5 + w^4 - 28*w^3 - 5*w^2 + 44*w + 5]', '[1684, 842, 3*w^5 + w^4 - 21*w^3 - 3*w^2 + 35*w - 1]', '[1691, 1691, 4*w^5 - 24*w^3 - 2*w^2 + 30*w + 5]', '[1691, 1691, w^5 + 2*w^4 - 6*w^3 - 8*w^2 + 8*w + 2]', '[1691, 1691, 4*w^5 + w^4 - 24*w^3 - 4*w^2 + 32*w - 4]', '[1699, 1699, -3*w^5 - 2*w^4 + 18*w^3 + 10*w^2 - 24*w - 3]', '[1699, 1699, -2*w^5 + w^4 + 13*w^3 - 3*w^2 - 19*w + 4]', '[1699, 1699, 4*w^5 - w^4 - 23*w^3 + 3*w^2 + 28*w - 1]', '[1699, 1699, 2*w^4 - w^3 - 8*w^2 + 3*w + 2]', '[1709, 1709, -4*w^5 - 2*w^4 + 26*w^3 + 11*w^2 - 38*w - 7]', '[1709, 1709, 3*w^5 - 17*w^3 + w^2 + 20*w - 4]', '[1711, 1711, -w^5 - w^4 + 7*w^3 + 4*w^2 - 13*w - 4]', '[1721, 1721, 2*w^5 + 2*w^4 - 14*w^3 - 9*w^2 + 22*w - 1]', '[1721, 1721, -2*w^5 + w^4 + 12*w^3 - 5*w^2 - 17*w + 5]', '[1721, 1721, w^5 - w^4 - 7*w^3 + 7*w^2 + 10*w - 12]', '[1721, 1721, -2*w^5 - w^4 + 16*w^3 + 4*w^2 - 30*w + 4]', '[1724, 862, 3*w^4 - 3*w^3 - 11*w^2 + 8*w + 4]', '[1724, 862, 2*w^4 - w^3 - 7*w^2 + w + 2]', '[1724, 862, 2*w^5 - 12*w^3 + w^2 + 17*w - 7]', '[1741, 1741, -2*w^5 + w^4 + 12*w^3 - 3*w^2 - 15*w + 1]', '[1741, 1741, 3*w^5 + 2*w^4 - 19*w^3 - 10*w^2 + 26*w + 8]', '[1744, 218, w^5 - 6*w^3 - w^2 + 5*w + 2]', '[1744, 436, w^5 + w^4 - 6*w^3 - 6*w^2 + 8*w + 3]', '[1756, 878, -4*w^5 - 2*w^4 + 29*w^3 + 8*w^2 - 48*w - 5]', '[1759, 1759, 3*w^5 + w^4 - 19*w^3 - 6*w^2 + 25*w + 5]', '[1769, 1769, 5*w^5 - 34*w^3 + 53*w - 2]', '[1769, 1769, 2*w^5 - 12*w^3 - w^2 + 17*w + 4]', '[1789, 1789, w^4 + w^3 - 4*w^2 - 5*w + 2]', '[1789, 1789, w^5 - 3*w^3 - 3*w + 3]', '[1789, 1789, -3*w^5 - w^4 + 19*w^3 + 7*w^2 - 26*w - 8]', '[1789, 1789, 2*w^5 - 13*w^3 + w^2 + 20*w - 1]', '[1801, 1801, 6*w^5 + 2*w^4 - 39*w^3 - 9*w^2 + 56*w + 3]', '[1804, 902, 2*w^5 + w^4 - 15*w^3 - 2*w^2 + 27*w - 7]', '[1804, 902, -2*w^5 - 2*w^4 + 12*w^3 + 9*w^2 - 17*w - 3]', '[1811, 1811, 2*w^5 + w^4 - 15*w^3 - 4*w^2 + 26*w - 3]', '[1811, 1811, -4*w^5 - w^4 + 26*w^3 + 5*w^2 - 37*w - 5]', '[1811, 1811, -4*w^5 + w^4 + 23*w^3 - 3*w^2 - 27*w]', '[1829, 1829, w^5 + w^4 - 10*w^3 - 4*w^2 + 21*w + 1]', '[1831, 1831, 5*w^5 + w^4 - 30*w^3 - 4*w^2 + 39*w]', '[1831, 1831, 2*w^5 - 12*w^3 - w^2 + 16*w + 6]', '[1831, 1831, 2*w^5 + 2*w^4 - 14*w^3 - 12*w^2 + 22*w + 13]', '[1831, 1831, w^5 - 7*w^3 + 11*w + 3]', '[1844, 922, 4*w^5 - w^4 - 26*w^3 + 5*w^2 + 40*w - 7]', '[1844, 922, 4*w^5 - 23*w^3 - 4*w^2 + 30*w + 7]', '[1856, 58, 4*w^5 - 26*w^3 + 38*w - 4]', '[1856, 232, -w^5 + w^4 + 7*w^3 - 6*w^2 - 10*w + 6]', '[1871, 1871, 3*w^5 + w^4 - 21*w^3 - 3*w^2 + 32*w - 1]', '[1871, 1871, 3*w^5 + w^4 - 17*w^3 - 7*w^2 + 22*w + 8]', '[1871, 1871, w - 4]', '[1879, 1879, -3*w^5 - 2*w^4 + 21*w^3 + 9*w^2 - 32*w - 6]', '[1891, 1891, -6*w^5 - w^4 + 40*w^3 + 5*w^2 - 60*w - 6]', '[1891, 1891, -3*w^5 + 2*w^4 + 17*w^3 - 6*w^2 - 21*w - 1]', '[1901, 1901, 3*w^5 + 2*w^4 - 20*w^3 - 7*w^2 + 31*w - 5]', '[1919, 1919, w^5 + 2*w^4 - 6*w^3 - 10*w^2 + 6*w + 10]', '[1931, 1931, -4*w^5 - 3*w^4 + 27*w^3 + 15*w^2 - 41*w - 10]', '[1931, 1931, -3*w^5 - w^4 + 19*w^3 + 7*w^2 - 26*w - 7]', '[1936, 22, -w^4 + 2*w^3 + 4*w^2 - 5*w + 1]', '[1936, 44, -w^5 + w^4 + 4*w^3 - 3*w^2 - w + 2]', '[1936, 242, -4*w^5 - w^4 + 24*w^3 + 6*w^2 - 31*w - 5]', '[1936, 484, -2*w^5 + 14*w^3 - w^2 - 21*w + 3]', '[1949, 1949, -2*w^5 - 3*w^4 + 13*w^3 + 13*w^2 - 19*w - 8]', '[1949, 1949, -5*w^5 - 2*w^4 + 33*w^3 + 8*w^2 - 50*w - 2]', '[1949, 1949, -4*w^5 - 2*w^4 + 28*w^3 + 11*w^2 - 45*w - 6]', '[1951, 1951, 5*w^5 + w^4 - 31*w^3 - 3*w^2 + 42*w - 5]', '[1951, 1951, 3*w^5 + 2*w^4 - 21*w^3 - 11*w^2 + 35*w + 8]', '[1964, 982, 3*w^5 - 19*w^3 - w^2 + 30*w - 1]', '[1964, 982, -3*w^5 - w^4 + 21*w^3 + 3*w^2 - 33*w - 1]', '[1969, 1969, 8*w^5 + 3*w^4 - 51*w^3 - 15*w^2 + 73*w + 9]', '[1969, 1969, 3*w^5 - 21*w^3 + 35*w - 5]', '[1969, 1969, -3*w^5 - 2*w^4 + 21*w^3 + 8*w^2 - 35*w - 1]', '[1969, 1969, -7*w^5 - 2*w^4 + 45*w^3 + 11*w^2 - 66*w - 4]', '[1979, 1979, 5*w^5 + w^4 - 31*w^3 - 3*w^2 + 43*w - 6]', '[1979, 1979, -5*w^5 - w^4 + 31*w^3 + 7*w^2 - 42*w - 9]', '[1984, 62, -4*w^5 + 24*w^3 + 2*w^2 - 32*w - 4]', '[1984, 248, w^5 + 2*w^4 - 7*w^3 - 10*w^2 + 13*w + 6]', '[1991, 1991, 5*w^5 + 2*w^4 - 31*w^3 - 8*w^2 + 43*w + 1]', '[1991, 1991, 2*w^5 - w^4 - 15*w^3 + 2*w^2 + 23*w - 2]', '[1996, 998, 3*w^5 - w^4 - 18*w^3 + 2*w^2 + 26*w + 3]', '[1996, 998, w^5 - w^4 - 6*w^3 + 2*w^2 + 8*w + 3]', '[1999, 1999, -3*w^5 - w^4 + 21*w^3 + 4*w^2 - 33*w + 2]', '[1999, 1999, 3*w^5 + 2*w^4 - 17*w^3 - 10*w^2 + 20*w + 7]', '[1999, 1999, w^5 + w^4 - 9*w^3 - 5*w^2 + 19*w + 6]', '[2000, 10, -3*w^5 - w^4 + 18*w^3 + 7*w^2 - 22*w - 7]', '[2000, 20, -3*w^5 - 3*w^4 + 20*w^3 + 15*w^2 - 29*w - 10]', '[2011, 2011, 4*w^5 + w^4 - 24*w^3 - 7*w^2 + 29*w + 6]', '[2011, 2011, -4*w^5 + 25*w^3 + w^2 - 35*w + 1]', '[2029, 2029, 2*w^4 - 2*w^3 - 9*w^2 + 6*w + 1]', '[2029, 2029, -4*w^5 - w^4 + 26*w^3 + 4*w^2 - 38*w - 1]', '[2029, 2029, -w^5 + w^4 + 5*w^3 - 7*w^2 - 4*w + 12]', '[2036, 1018, 6*w^5 + 2*w^4 - 41*w^3 - 9*w^2 + 63*w + 4]', '[2036, 1018, -5*w^5 - 2*w^4 + 36*w^3 + 7*w^2 - 60*w + 2]', '[2036, 1018, 2*w^5 + 2*w^4 - 17*w^3 - 7*w^2 + 33*w]', '[2036, 1018, -w^5 + w^4 + 5*w^3 - w^2 - 7*w - 5]', '[2039, 2039, -w^3 + 2*w^2 + 5*w - 4]', '[2039, 2039, -4*w^5 - 3*w^4 + 27*w^3 + 15*w^2 - 42*w - 7]', '[2059, 2059, 2*w^4 + 2*w^3 - 10*w^2 - 7*w + 9]', '[2059, 2059, -5*w^5 - 2*w^4 + 33*w^3 + 13*w^2 - 49*w - 14]', '[2059, 2059, 4*w^5 + w^4 - 29*w^3 - 5*w^2 + 51*w + 1]', '[2069, 2069, -4*w^5 - w^4 + 25*w^3 + 4*w^2 - 34*w]', '[2069, 2069, -3*w^5 - 3*w^4 + 23*w^3 + 12*w^2 - 41*w - 1]', '[2071, 2071, 2*w^5 + w^4 - 13*w^3 - 5*w^2 + 17*w + 5]', '[2081, 2081, 2*w^5 - 13*w^3 + w^2 + 22*w - 7]', '[2081, 2081, w^5 + 3*w^4 - 9*w^3 - 12*w^2 + 19*w + 3]', '[2081, 2081, -2*w^5 - w^4 + 14*w^3 + 5*w^2 - 23*w + 1]', '[2081, 2081, w^5 - w^4 - 6*w^3 + 2*w^2 + 6*w + 6]', '[2089, 2089, w^5 + w^4 - 9*w^3 - 5*w^2 + 18*w + 4]', '[2089, 2089, 5*w^5 + w^4 - 34*w^3 - 4*w^2 + 53*w - 4]', '[2089, 2089, -3*w^5 - w^4 + 20*w^3 + 4*w^2 - 32*w + 2]', '[2089, 2089, 4*w^5 + 3*w^4 - 27*w^3 - 13*w^2 + 41*w + 7]', '[2096, 262, -3*w^5 + w^4 + 16*w^3 - 5*w^2 - 16*w + 3]', '[2096, 262, -3*w^5 + 16*w^3 - w^2 - 17*w + 2]', '[2096, 524, -2*w^5 - 2*w^4 + 15*w^3 + 7*w^2 - 27*w + 4]', '[2096, 524, -2*w^5 - 2*w^4 + 14*w^3 + 7*w^2 - 23*w + 3]', '[2099, 2099, -2*w^5 + w^4 + 13*w^3 - 2*w^2 - 16*w]', '[2101, 2101, 3*w^5 + w^4 - 20*w^3 - 7*w^2 + 28*w + 6]', '[2111, 2111, 2*w^5 - 15*w^3 + 2*w^2 + 26*w - 10]', '[2111, 2111, 2*w^5 - 14*w^3 + 3*w^2 + 23*w - 8]', '[2111, 2111, 2*w^5 + 3*w^4 - 14*w^3 - 12*w^2 + 22*w + 3]', '[2111, 2111, 6*w^5 + w^4 - 39*w^3 - 4*w^2 + 58*w - 1]', '[2129, 2129, 3*w^5 + w^4 - 18*w^3 - 5*w^2 + 23*w + 5]', '[2129, 2129, -5*w^5 - w^4 + 30*w^3 + 4*w^2 - 39*w - 1]', '[2131, 2131, 2*w^5 - 14*w^3 - w^2 + 22*w - 2]', '[2131, 2131, -2*w^4 + w^3 + 8*w^2 - 3*w - 3]', '[2141, 2141, w^4 - w^3 - 5*w^2 + w + 1]', '[2161, 2161, -3*w^5 - w^4 + 19*w^3 + 3*w^2 - 26*w + 2]', '[2161, 2161, -w^4 - w^3 + 4*w^2 + 4*w - 4]', '[2161, 2161, 2*w^4 - 3*w^3 - 6*w^2 + 10*w - 4]', '[2161, 2161, -2*w^5 - w^4 + 13*w^3 + 2*w^2 - 17*w + 6]', '[2179, 2179, 3*w^5 + 2*w^4 - 19*w^3 - 10*w^2 + 28*w + 7]', '[2189, 2189, 3*w^5 - 21*w^3 - 4*w^2 + 30*w + 5]', '[2189, 2189, -4*w^5 + 27*w^3 - w^2 - 44*w + 2]', '[2189, 2189, w^5 - 9*w^3 + 18*w - 1]', '[2189, 2189, 4*w^5 + 2*w^4 - 26*w^3 - 12*w^2 + 38*w + 15]', '[2201, 2201, -5*w^5 - 3*w^4 + 37*w^3 + 15*w^2 - 68*w - 6]', '[2201, 2201, 7*w^5 + w^4 - 45*w^3 - 6*w^2 + 67*w + 3]', '[2201, 2201, w^5 - 7*w^3 + 12*w + 3]', '[2204, 1102, w^4 - w^3 - 6*w^2 + 3*w + 3]', '[2209, 47, 3*w^5 + w^4 - 18*w^3 - 7*w^2 + 22*w + 8]', '[2221, 2221, -3*w^5 + w^4 + 18*w^3 - 6*w^2 - 23*w + 6]', '[2224, 278, -7*w^5 - 3*w^4 + 46*w^3 + 13*w^2 - 68*w + 1]', '[2224, 556, -9*w^5 - 2*w^4 + 57*w^3 + 9*w^2 - 80*w + 3]', '[2239, 2239, 3*w^5 + w^4 - 19*w^3 - 5*w^2 + 26*w + 5]', '[2239, 2239, -2*w^5 + 14*w^3 + w^2 - 20*w]', '[2269, 2269, -3*w^2 + 11]', '[2276, 1138, 5*w^5 + 3*w^4 - 33*w^3 - 14*w^2 + 50*w + 6]', '[2281, 2281, -5*w^5 - w^4 + 34*w^3 + 5*w^2 - 52*w + 2]', '[2284, 1142, 4*w^5 + w^4 - 27*w^3 - 5*w^2 + 40*w + 4]', '[2284, 1142, -3*w^5 + 20*w^3 + w^2 - 32*w + 2]', '[2284, 1142, 4*w^5 + 2*w^4 - 30*w^3 - 7*w^2 + 51*w - 1]', '[2284, 1142, w^5 - w^4 - 5*w^3 + 5*w^2 + 5*w - 9]', '[2284, 1142, 3*w^2 - w - 9]', '[2284, 1142, 3*w^5 + w^4 - 18*w^3 - 8*w^2 + 24*w + 9]', '[2291, 2291, 3*w^5 - 22*w^3 + 38*w - 2]', '[2291, 2291, -2*w^4 + 11*w^2 + 2*w - 11]', '[2291, 2291, -2*w^5 + w^4 + 14*w^3 - 3*w^2 - 23*w]', '[2299, 209, -2*w^5 - 2*w^4 + 16*w^3 + 7*w^2 - 28*w + 1]', '[2299, 2299, w^5 + w^4 - 8*w^3 - 4*w^2 + 13*w - 2]', '[2309, 2309, -2*w^5 + w^4 + 12*w^3 - 2*w^2 - 14*w]', '[2311, 2311, -w^5 - w^4 + 8*w^3 + 5*w^2 - 17*w - 5]', '[2311, 2311, -2*w^5 - w^4 + 13*w^3 + 7*w^2 - 19*w - 7]', '[2311, 2311, 4*w^5 - 25*w^3 - w^2 + 34*w]', '[2311, 2311, 3*w^5 - 20*w^3 + 2*w^2 + 32*w - 10]', '[2321, 2321, -8*w^5 - 3*w^4 + 50*w^3 + 15*w^2 - 71*w - 8]', '[2351, 2351, 2*w^5 - 14*w^3 + w^2 + 24*w - 8]', '[2356, 1178, -w^5 + w^4 + 4*w^3 - 3*w^2 - 3*w - 2]', '[2371, 2371, -5*w^5 - 2*w^4 + 32*w^3 + 10*w^2 - 44*w - 7]', '[2371, 2371, 2*w^5 - w^4 - 13*w^3 + 6*w^2 + 20*w - 6]', '[2375, 95, -w^5 - w^4 + 4*w^3 + 8*w^2 - 12]', '[2381, 2381, -2*w^5 - 2*w^4 + 13*w^3 + 7*w^2 - 20*w + 4]', '[2381, 2381, -2*w^5 + 14*w^3 - 2*w^2 - 25*w + 5]', '[2384, 298, 2*w^5 + w^4 - 12*w^3 - 4*w^2 + 19*w + 3]', '[2384, 596, 2*w^5 + w^4 - 14*w^3 - 4*w^2 + 23*w + 4]', '[2404, 1202, -w^5 + w^4 + 6*w^3 - 3*w^2 - 11*w]', '[2404, 1202, 3*w^5 + 4*w^4 - 22*w^3 - 18*w^2 + 35*w + 11]', '[2404, 1202, -w^5 + 6*w^3 - w^2 - 6*w + 4]', '[2404, 1202, w^3 + w^2 - 3*w - 6]', '[2411, 2411, -4*w^5 - 2*w^4 + 25*w^3 + 12*w^2 - 33*w - 10]', '[2416, 302, -3*w^5 + 20*w^3 - w^2 - 31*w + 8]', '[2416, 302, -w^4 + 2*w^3 + 2*w^2 - 9*w + 5]', '[2416, 302, 6*w^5 + 3*w^4 - 38*w^3 - 16*w^2 + 53*w + 9]', '[2416, 302, w^5 + 2*w^4 - 8*w^3 - 11*w^2 + 15*w + 8]', '[2416, 604, -4*w^5 + 27*w^3 - 3*w^2 - 41*w + 12]', '[2416, 604, -w^5 + 2*w^4 + 5*w^3 - 10*w^2 - 5*w + 8]', '[2416, 604, 7*w^5 + 4*w^4 - 45*w^3 - 20*w^2 + 63*w + 12]', '[2416, 604, 2*w^5 + w^4 - 12*w^3 - 7*w^2 + 14*w + 11]', '[2419, 2419, 5*w^5 + 2*w^4 - 33*w^3 - 8*w^2 + 50*w + 3]', '[2419, 2419, -w^5 + w^4 + 8*w^3 - 3*w^2 - 15*w + 1]', '[2441, 2441, -w^5 + 7*w^3 - w^2 - 8*w + 2]', '[2449, 2449, -4*w^5 - 2*w^4 + 29*w^3 + 9*w^2 - 50*w - 5]', '[2449, 2449, 4*w^5 - w^4 - 24*w^3 + 2*w^2 + 34*w + 3]', '[2449, 2449, 2*w^4 - 2*w^3 - 6*w^2 + 5*w - 2]', '[2459, 2459, -4*w^5 + 26*w^3 + 2*w^2 - 38*w - 1]', '[2476, 1238, -3*w^5 - 2*w^4 + 22*w^3 + 10*w^2 - 37*w - 7]', '[2489, 2489, -2*w^5 + 2*w^4 + 10*w^3 - 10*w^2 - 8*w + 9]', '[2489, 2489, -3*w^5 + w^4 + 17*w^3 - 5*w^2 - 20*w + 6]', '[2501, 2501, -5*w^5 - w^4 + 32*w^3 + 6*w^2 - 49*w - 3]', '[2501, 2501, 2*w^5 - 15*w^3 + 25*w]', '[2501, 2501, -8*w^5 - 3*w^4 + 56*w^3 + 15*w^2 - 91*w - 9]', '[2501, 2501, 6*w^5 + w^4 - 39*w^3 - 7*w^2 + 59*w + 9]', '[2519, 2519, 5*w^5 + w^4 - 32*w^3 - 6*w^2 + 45*w + 1]', '[2519, 2519, 9*w^5 + 4*w^4 - 58*w^3 - 18*w^2 + 84*w + 5]', '[2521, 2521, -4*w^5 + 26*w^3 - 2*w^2 - 37*w + 8]', '[2524, 1262, -4*w^5 + 26*w^3 + w^2 - 41*w + 1]', '[2524, 1262, -2*w^5 + w^4 + 11*w^3 - 2*w^2 - 13*w - 5]', '[2531, 2531, -3*w^5 - w^4 + 18*w^3 + 4*w^2 - 23*w - 3]', '[2539, 2539, -2*w^5 + w^4 + 12*w^3 - 3*w^2 - 14*w + 2]', '[2539, 2539, -w^4 + 2*w^3 + 4*w^2 - 10*w - 2]', '[2549, 2549, -6*w^5 - w^4 + 38*w^3 + 5*w^2 - 55*w + 2]', '[2549, 2549, w^3 + 2*w^2 - 4*w - 4]', '[2549, 2549, -w^5 + 4*w^3 - 2*w^2 - w + 2]', '[2549, 2549, w^5 - 2*w^4 - 5*w^3 + 11*w^2 + 5*w - 10]', '[2549, 2549, -4*w^5 + 24*w^3 - 2*w^2 - 31*w + 7]', '[2549, 2549, -2*w^5 + 11*w^3 + w^2 - 12*w - 7]', '[2551, 2551, 2*w^5 + 2*w^4 - 13*w^3 - 8*w^2 + 22*w]', '[2551, 2551, 4*w^5 - 26*w^3 + 37*w - 5]', '[2551, 2551, 5*w^5 + 3*w^4 - 33*w^3 - 14*w^2 + 51*w + 6]', '[2551, 2551, -3*w^5 - 2*w^4 + 19*w^3 + 10*w^2 - 28*w - 5]', '[2564, 1282, 3*w^5 - 21*w^3 + 2*w^2 + 33*w - 8]', '[2564, 1282, 2*w^5 + 2*w^4 - 15*w^3 - 10*w^2 + 26*w + 11]', '[2581, 2581, 2*w^5 + w^4 - 15*w^3 - 5*w^2 + 28*w + 5]', '[2581, 2581, -5*w^5 - 3*w^4 + 30*w^3 + 15*w^2 - 40*w - 10]', '[2581, 2581, -3*w^5 - 2*w^4 + 22*w^3 + 8*w^2 - 37*w]', '[2591, 2591, 3*w^5 + w^4 - 20*w^3 - 3*w^2 + 28*w - 2]', '[2596, 1298, -w^3 - 2*w^2 + 4*w + 5]', '[2609, 2609, 2*w^5 + w^4 - 12*w^3 - 5*w^2 + 15*w + 6]', '[2609, 2609, 3*w^5 - 21*w^3 + w^2 + 36*w - 6]', '[2621, 2621, -w^5 - w^4 + 6*w^3 + 6*w^2 - 11*w - 5]', '[2624, 82, -2*w^5 + 14*w^3 + 2*w^2 - 24*w - 4]', '[2624, 82, 4*w^5 + 2*w^4 - 26*w^3 - 10*w^2 + 38*w + 8]', '[2624, 328, -w^5 - w^4 + 7*w^3 + 2*w^2 - 12*w + 6]', '[2624, 328, -w^5 + w^4 + 4*w^3 - 2*w^2 - 2*w - 5]', '[2629, 2629, w^5 + 2*w^4 - 9*w^3 - 10*w^2 + 18*w + 7]', '[2636, 1318, -2*w^5 - w^4 + 16*w^3 + w^2 - 28*w + 5]', '[2636, 1318, -w^5 - w^4 + 10*w^3 + w^2 - 21*w + 6]', '[2641, 2641, -2*w^5 - w^4 + 13*w^3 + w^2 - 18*w + 13]', '[2644, 1322, -2*w^5 + 2*w^4 + 11*w^3 - 6*w^2 - 14*w + 1]', '[2644, 1322, w^5 - 2*w^4 - 4*w^3 + 9*w^2 + 2*w - 10]', '[2644, 1322, 3*w^5 + w^4 - 21*w^3 - 6*w^2 + 36*w + 6]', '[2651, 2651, 5*w^5 + w^4 - 35*w^3 - 4*w^2 + 57*w - 3]', '[2659, 2659, 2*w^5 + 2*w^4 - 14*w^3 - 11*w^2 + 22*w + 6]', '[2659, 2659, 2*w^5 - 11*w^3 - w^2 + 12*w - 3]', '[2671, 2671, 6*w^5 + 2*w^4 - 38*w^3 - 11*w^2 + 54*w + 8]', '[2671, 2671, 4*w^5 - 23*w^3 - 2*w^2 + 29*w + 3]', '[2684, 1342, -w^5 + 7*w^3 + w^2 - 10*w - 5]', '[2684, 1342, -5*w^5 + w^4 + 32*w^3 - 5*w^2 - 47*w + 6]', '[2689, 2689, -w^5 + 5*w^3 + 2*w^2 - 3*w - 3]', '[2699, 2699, w^5 + w^4 - 9*w^3 - 4*w^2 + 17*w - 4]', '[2711, 2711, 2*w^5 + w^4 - 15*w^3 - 5*w^2 + 25*w + 6]', '[2711, 2711, 2*w^5 - 13*w^3 + 16*w]', '[2719, 2719, -4*w^5 + 25*w^3 - 34*w + 4]', '[2719, 2719, 2*w^5 - w^4 - 14*w^3 + 7*w^2 + 23*w - 10]', '[2729, 2729, 2*w^5 - 13*w^3 - w^2 + 20*w - 2]', '[2729, 2729, 2*w^5 - 11*w^3 - w^2 + 10*w + 6]', '[2729, 2729, 3*w^5 + w^4 - 17*w^3 - 4*w^2 + 20*w - 1]', '[2729, 2729, 5*w^5 + 3*w^4 - 32*w^3 - 14*w^2 + 47*w + 5]', '[2731, 2731, -2*w^5 + 12*w^3 + 3*w^2 - 13*w - 8]', '[2741, 2741, 5*w^5 + 2*w^4 - 30*w^3 - 9*w^2 + 39*w + 5]', '[2741, 2741, -w^5 - 3*w^4 + 9*w^3 + 13*w^2 - 19*w - 8]', '[2749, 2749, 4*w^5 + w^4 - 27*w^3 - 3*w^2 + 43*w - 7]', '[2749, 2749, w^5 + w^4 - 6*w^3 - 4*w^2 + 9*w - 2]', '[2749, 2749, w^5 + w^4 - 10*w^3 - 2*w^2 + 21*w - 4]', '[2749, 2749, -2*w^5 - 3*w^4 + 15*w^3 + 11*w^2 - 26*w - 1]', '[2759, 2759, -w^5 - 2*w^4 + 8*w^3 + 8*w^2 - 14*w + 1]', '[2759, 2759, -3*w^5 - 2*w^4 + 24*w^3 + 9*w^2 - 46*w - 3]', '[2759, 2759, 4*w^5 - 24*w^3 - 3*w^2 + 32*w + 1]', '[2761, 2761, -6*w^5 - w^4 + 38*w^3 + 7*w^2 - 54*w - 6]', '[2761, 2761, 4*w^5 + 3*w^4 - 24*w^3 - 11*w^2 + 33*w - 1]', '[2761, 2761, -8*w^5 - 2*w^4 + 51*w^3 + 12*w^2 - 72*w - 6]', '[2761, 2761, -7*w^5 - w^4 + 46*w^3 + 6*w^2 - 69*w - 2]', '[2764, 1382, -3*w^5 + w^4 + 20*w^3 - 4*w^2 - 32*w + 5]', '[2764, 1382, -8*w^5 - w^4 + 54*w^3 + 7*w^2 - 86*w - 5]', '[2764, 1382, -2*w^4 + 3*w^3 + 8*w^2 - 10*w + 1]', '[2764, 1382, -w^4 + 4*w^3 + 2*w^2 - 13*w + 2]', '[2764, 1382, w^5 + 2*w^4 - 8*w^3 - 9*w^2 + 12*w + 8]', '[2764, 1382, w^5 - 6*w^3 - 3*w^2 + 10*w + 6]', '[2789, 2789, -4*w^5 - 2*w^4 + 25*w^3 + 11*w^2 - 33*w - 11]', '[2789, 2789, 2*w^5 - 2*w^4 - 10*w^3 + 8*w^2 + 9*w - 1]', '[2791, 2791, 2*w^5 - 14*w^3 + w^2 + 21*w - 4]', '[2801, 2801, -2*w^5 - w^4 + 12*w^3 + 3*w^2 - 17*w + 4]', '[2801, 2801, 4*w^5 + w^4 - 28*w^3 - 5*w^2 + 44*w]', '[2801, 2801, 2*w^5 + w^4 - 11*w^3 - 3*w^2 + 12*w - 1]', '[2801, 2801, 2*w^5 - w^4 - 13*w^3 + 4*w^2 + 21*w - 6]', '[2804, 1402, 5*w^5 + w^4 - 32*w^3 - 9*w^2 + 47*w + 16]', '[2809, 53, 3*w^5 + w^4 - 16*w^3 - 4*w^2 + 18*w + 4]', '[2809, 53, -2*w^5 - 2*w^4 + 14*w^3 + 10*w^2 - 25*w - 6]', '[2809, 53, 4*w^5 + 2*w^4 - 26*w^3 - 7*w^2 + 39*w - 4]', '[2816, 44, -4*w^5 + 26*w^3 - 2*w^2 - 38*w + 8]', '[2816, 44, -3*w^5 - w^4 + 20*w^3 + 3*w^2 - 32*w + 5]', '[2816, 176, w^5 + w^4 - 7*w^3 - 7*w^2 + 9*w + 9]', '[2819, 2819, 2*w^5 + 2*w^4 - 16*w^3 - 8*w^2 + 31*w + 3]', '[2819, 2819, 5*w^5 + 2*w^4 - 31*w^3 - 12*w^2 + 42*w + 10]', '[2819, 2819, 3*w^5 + w^4 - 20*w^3 - 5*w^2 + 31*w - 1]', '[2819, 2819, w^5 + w^4 - 10*w^3 - 2*w^2 + 21*w - 5]', '[2831, 2831, -2*w^5 - 2*w^4 + 10*w^3 + 7*w^2 - 11*w]', '[2836, 1418, 3*w^5 + w^4 - 22*w^3 - 3*w^2 + 37*w - 4]', '[2836, 1418, 5*w^5 - w^4 - 28*w^3 - 2*w^2 + 36*w + 9]', '[2836, 1418, -3*w^5 + 20*w^3 + 2*w^2 - 33*w - 1]', '[2836, 1418, -4*w^5 + 25*w^3 + w^2 - 35*w + 2]', '[2851, 2851, -2*w^5 + 13*w^3 - 21*w + 6]', '[2851, 2851, -3*w^5 - 3*w^4 + 22*w^3 + 13*w^2 - 36*w - 2]', '[2861, 2861, 6*w^5 + 3*w^4 - 39*w^3 - 13*w^2 + 57*w + 2]', '[2861, 2861, 2*w^5 - 13*w^3 - w^2 + 22*w]', '[2861, 2861, -3*w^5 + 17*w^3 - w^2 - 19*w + 5]', '[2864, 358, -w^5 - 3*w^4 + 8*w^3 + 13*w^2 - 14*w - 3]', '[2864, 358, 3*w^5 - 16*w^3 + w^2 + 15*w - 4]', '[2864, 358, -w^5 + 8*w^3 + 3*w^2 - 15*w - 4]', '[2864, 358, w^5 - 3*w^4 - 4*w^3 + 13*w^2 - 2*w - 3]', '[2864, 716, -2*w^5 + 9*w^3 + 2*w^2 - 4*w - 3]', '[2864, 716, 2*w^5 + 2*w^4 - 13*w^3 - 7*w^2 + 19*w - 6]', '[2864, 716, -2*w^5 - w^4 + 15*w^3 + 5*w^2 - 24*w - 6]', '[2864, 716, w^4 - 3*w^3 - 4*w^2 + 13*w - 3]', '[2869, 2869, -w^5 + 2*w^4 + 6*w^3 - 13*w^2 - 9*w + 23]', '[2869, 2869, w^5 - 4*w^3 - 4*w^2 + 13]', '[2869, 2869, w^5 + 2*w^4 - 4*w^3 - 12*w^2 + 11]', '[2869, 2869, -2*w^5 + 2*w^4 + 13*w^3 - 12*w^2 - 19*w + 14]', '[2876, 1438, 4*w^5 + w^4 - 26*w^3 - 6*w^2 + 37*w + 6]', '[2876, 1438, 3*w^5 + 3*w^4 - 25*w^3 - 11*w^2 + 47*w + 3]', '[2879, 2879, -2*w^5 - w^4 + 13*w^3 + 6*w^2 - 17*w - 6]', '[2896, 362, 3*w^5 + w^4 - 16*w^3 - 5*w^2 + 16*w + 5]', '[2896, 362, -w^5 - w^4 + 6*w^3 + w^2 - 12*w + 5]', '[2896, 724, 2*w^5 + 3*w^4 - 13*w^3 - 14*w^2 + 19*w + 7]', '[2896, 724, -w^5 + w^4 + 6*w^3 - 7*w^2 - 9*w + 8]', '[2909, 2909, w^5 - 5*w^3 - 2*w^2 + 4*w + 10]', '[2909, 2909, 6*w^5 + w^4 - 38*w^3 - 6*w^2 + 54*w + 1]', '[2909, 2909, 4*w^5 - 25*w^3 - w^2 + 32*w + 2]', '[2909, 2909, 3*w^5 + w^4 - 17*w^3 - 8*w^2 + 20*w + 11]', '[2909, 2909, -5*w^5 - 3*w^4 + 32*w^3 + 13*w^2 - 47*w - 1]', '[2909, 2909, -5*w^5 - 3*w^4 + 33*w^3 + 14*w^2 - 49*w - 7]', '[2911, 2911, 5*w^5 + 2*w^4 - 34*w^3 - 11*w^2 + 52*w + 7]', '[2911, 2911, w^2 - 2*w - 7]', '[2911, 2911, 6*w^5 - 41*w^3 - 2*w^2 + 66*w + 2]', '[2911, 2911, -8*w^5 - 2*w^4 + 53*w^3 + 8*w^2 - 81*w + 1]', '[2911, 2911, -11*w^5 - w^4 + 71*w^3 + 8*w^2 - 104*w - 9]', '[2911, 2911, 5*w^5 + 2*w^4 - 36*w^3 - 10*w^2 + 62*w + 7]', '[2916, 6, 3*w^5 - 18*w^3 - 3*w^2 + 24*w + 6]', '[2929, 2929, -4*w^5 - w^4 + 26*w^3 + 2*w^2 - 38*w + 7]', '[2939, 2939, -4*w^5 - 2*w^4 + 25*w^3 + 7*w^2 - 34*w + 2]', '[2956, 1478, w^4 - 2*w^3 + 5*w - 8]', '[2956, 1478, 4*w^5 + w^4 - 27*w^3 - 7*w^2 + 44*w + 8]', '[2956, 1478, 3*w^5 + w^4 - 18*w^3 - 6*w^2 + 24*w + 7]', '[2956, 1478, 4*w^5 - 24*w^3 - w^2 + 33*w + 1]', '[2956, 1478, -w^5 + 4*w^3 + 3*w^2 - 2*w - 4]', '[2956, 1478, -4*w^5 - 2*w^4 + 29*w^3 + 9*w^2 - 47*w - 8]', '[2959, 2959, w^4 - 6*w^2 + 2*w + 7]', '[2969, 2969, 2*w^4 - 3*w^3 - 9*w^2 + 8*w + 4]', '[2971, 2971, 4*w^5 + w^4 - 24*w^3 - 7*w^2 + 29*w + 7]', '[2971, 2971, w^5 + 2*w^4 - 8*w^3 - 11*w^2 + 13*w + 7]', '[2981, 2981, 4*w^5 - w^4 - 26*w^3 + 5*w^2 + 39*w - 9]', '[2999, 2999, 3*w^5 + 2*w^4 - 19*w^3 - 10*w^2 + 28*w + 6]', '[2999, 2999, -3*w^5 - 3*w^4 + 22*w^3 + 15*w^2 - 38*w - 10]', '[3001, 3001, -3*w^5 - 2*w^4 + 23*w^3 + 7*w^2 - 41*w + 3]', '[3001, 3001, 3*w^5 + 3*w^4 - 22*w^3 - 14*w^2 + 37*w + 8]', '[3004, 1502, -3*w^5 + 20*w^3 - 29*w + 1]', '[3011, 3011, -3*w^5 + w^4 + 19*w^3 - 4*w^2 - 28*w + 7]', '[3011, 3011, -6*w^5 - w^4 + 38*w^3 + 4*w^2 - 54*w + 4]', '[3011, 3011, -3*w^5 - w^4 + 19*w^3 + 2*w^2 - 29*w + 7]', '[3011, 3011, -3*w^5 - 2*w^4 + 21*w^3 + 10*w^2 - 33*w - 5]', '[3011, 3011, -5*w^5 - 3*w^4 + 32*w^3 + 13*w^2 - 46*w - 6]', '[3011, 3011, -2*w^5 - 2*w^4 + 14*w^3 + 7*w^2 - 24*w + 1]', '[3019, 3019, -6*w^5 - 2*w^4 + 38*w^3 + 10*w^2 - 55*w - 3]', '[3019, 3019, 3*w^5 - w^4 - 19*w^3 + 2*w^2 + 26*w + 1]', '[3019, 3019, 5*w^5 + 2*w^4 - 34*w^3 - 10*w^2 + 53*w + 2]', '[3019, 3019, 3*w^5 + 3*w^4 - 21*w^3 - 12*w^2 + 34*w + 1]', '[3019, 3019, -2*w^5 - w^4 + 15*w^3 + 3*w^2 - 25*w + 7]', '[3019, 3019, -4*w^5 - w^4 + 24*w^3 + 5*w^2 - 33*w - 4]', '[3041, 3041, w^5 - w^4 - 5*w^3 + 5*w^2 + 6*w - 3]', '[3041, 3041, w^4 - 3*w^2 - w - 5]', '[3041, 3041, w^4 - 2*w^3 - 4*w^2 + 8*w + 3]', '[3041, 3041, -2*w^5 + 2*w^4 + 13*w^3 - 10*w^2 - 19*w + 9]', '[3044, 1522, -2*w^5 + w^4 + 11*w^3 - 15*w - 5]', '[3044, 1522, 3*w^5 + 2*w^4 - 21*w^3 - 10*w^2 + 33*w + 6]', '[3049, 3049, -w^5 - w^4 + 8*w^3 + 2*w^2 - 17*w + 5]', '[3049, 3049, 4*w^5 + 2*w^4 - 24*w^3 - 10*w^2 + 33*w + 4]', '[3056, 382, 2*w^5 - w^4 - 12*w^3 + 4*w^2 + 13*w - 5]', '[3056, 764, 2*w^5 + w^4 - 14*w^3 - 3*w^2 + 22*w - 7]', '[3061, 3061, 4*w^5 + w^4 - 26*w^3 - 7*w^2 + 38*w + 4]', '[3076, 1538, 3*w^5 - 2*w^4 - 16*w^3 + 6*w^2 + 19*w - 3]', '[3079, 3079, 2*w^5 - 2*w^4 - 10*w^3 + 8*w^2 + 7*w - 4]', '[3079, 3079, 3*w^5 - 19*w^3 - w^2 + 24*w]', '[3089, 3089, w^5 - w^4 - 8*w^3 + 6*w^2 + 16*w - 10]', '[3089, 3089, -3*w^5 + w^4 + 16*w^3 - 4*w^2 - 17*w + 3]', '[3091, 3091, w^5 - 6*w^3 + 10*w + 5]', '[3116, 1558, -3*w^5 + w^4 + 18*w^3 - 6*w^2 - 24*w + 9]', '[3116, 1558, w^5 + 2*w^4 - 7*w^3 - 7*w^2 + 12*w - 1]', '[3119, 3119, -w^5 - 3*w^4 + 8*w^3 + 13*w^2 - 14*w - 8]', '[3119, 3119, -3*w^5 - 3*w^4 + 20*w^3 + 12*w^2 - 33*w]', '[3121, 3121, -2*w^5 + 11*w^3 - w^2 - 12*w + 5]', '[3121, 3121, -w^4 + 6*w^2 - 11]', '[3121, 3121, -w^5 - w^4 + 6*w^3 + 7*w^2 - 6*w - 12]', '[3124, 1562, w^5 - 2*w^4 - 7*w^3 + 12*w^2 + 13*w - 14]', '[3124, 1562, -3*w^5 - 2*w^4 + 24*w^3 + 8*w^2 - 47*w + 1]', '[3124, 1562, 4*w^5 + 3*w^4 - 26*w^3 - 17*w^2 + 38*w + 19]', '[3131, 3131, 2*w^5 + 2*w^4 - 15*w^3 - 8*w^2 + 23*w + 4]', '[3161, 3161, -w^2 + 2*w + 4]', '[3169, 3169, -6*w^5 - 2*w^4 + 38*w^3 + 10*w^2 - 54*w - 7]', '[3179, 187, 3*w^5 + w^4 - 20*w^3 - 6*w^2 + 29*w + 6]', '[3181, 3181, -2*w^5 - w^4 + 14*w^3 + 4*w^2 - 22*w + 5]', '[3181, 3181, -4*w^5 - w^4 + 26*w^3 + 4*w^2 - 36*w + 3]', '[3181, 3181, -3*w^5 - 2*w^4 + 21*w^3 + 11*w^2 - 33*w - 10]', '[3181, 3181, 5*w^5 + 2*w^4 - 31*w^3 - 10*w^2 + 44*w + 7]', '[3184, 398, 4*w^5 + w^4 - 28*w^3 - 4*w^2 + 45*w - 5]', '[3184, 398, w^5 - 2*w^4 - 6*w^3 + 7*w^2 + 3*w - 4]', '[3184, 398, -3*w^5 + 20*w^3 - w^2 - 31*w + 2]', '[3184, 398, -3*w^5 + 18*w^3 - w^2 - 23*w + 2]', '[3184, 796, 6*w^5 - 39*w^3 + w^2 + 57*w - 8]', '[3184, 796, w^5 + w^4 - 8*w^3 - 4*w^2 + 14*w - 5]', '[3184, 796, -4*w^5 + 27*w^3 - 44*w + 3]', '[3184, 796, -3*w^5 - w^4 + 20*w^3 + 4*w^2 - 32*w + 3]', '[3191, 3191, 5*w^5 + 2*w^4 - 32*w^3 - 11*w^2 + 44*w + 7]', '[3191, 3191, -5*w^5 - w^4 + 34*w^3 + 4*w^2 - 52*w + 4]', '[3191, 3191, 4*w^5 - w^4 - 25*w^3 + 4*w^2 + 36*w - 6]', '[3209, 3209, -2*w^3 + 2*w^2 + 8*w - 5]', '[3209, 3209, -6*w^5 - w^4 + 38*w^3 + 5*w^2 - 53*w + 1]', '[3221, 3221, 2*w^4 - 9*w^2 + 5]', '[3221, 3221, -3*w^5 + w^4 + 19*w^3 - 5*w^2 - 27*w + 8]', '[3221, 3221, -4*w^5 - w^4 + 25*w^3 + 8*w^2 - 35*w - 8]', '[3221, 3221, -2*w^5 - 2*w^4 + 12*w^3 + 11*w^2 - 17*w - 12]', '[3221, 3221, 2*w^5 + 2*w^4 - 14*w^3 - 8*w^2 + 24*w + 5]', '[3221, 3221, -3*w^5 - 2*w^4 + 18*w^3 + 12*w^2 - 24*w - 12]', '[3229, 3229, 6*w^5 - 37*w^3 - w^2 + 50*w]', '[3229, 3229, -3*w^5 - w^4 + 21*w^3 + 5*w^2 - 32*w - 5]', '[3239, 3239, -8*w^5 - 2*w^4 + 54*w^3 + 11*w^2 - 83*w - 8]', '[3239, 3239, -2*w^5 + 11*w^3 - w^2 - 13*w + 7]', '[3239, 3239, -3*w^5 - w^4 + 21*w^3 + 4*w^2 - 35*w - 4]', '[3239, 3239, -4*w^5 - w^4 + 24*w^3 + 7*w^2 - 33*w - 6]', '[3239, 3239, 4*w^5 + w^4 - 27*w^3 - 6*w^2 + 44*w + 7]', '[3239, 3239, 7*w^5 + w^4 - 46*w^3 - 8*w^2 + 70*w + 6]', '[3244, 1622, 2*w^5 - w^4 - 12*w^3 + 4*w^2 + 17*w]', '[3251, 3251, 3*w^5 + w^4 - 19*w^3 - 4*w^2 + 29*w - 1]', '[3251, 3251, -w^5 + w^4 + 7*w^3 - 5*w^2 - 10*w + 3]', '[3259, 3259, -4*w^5 + w^4 + 24*w^3 - 5*w^2 - 31*w + 8]', '[3259, 3259, 2*w^5 - 12*w^3 - 3*w^2 + 17*w + 4]', '[3271, 3271, 5*w^5 + 2*w^4 - 33*w^3 - 9*w^2 + 49*w - 2]', '[3271, 3271, -2*w^5 - 3*w^4 + 15*w^3 + 14*w^2 - 28*w - 8]', '[3299, 3299, 2*w^5 + 3*w^4 - 15*w^3 - 15*w^2 + 27*w + 11]', '[3299, 3299, 2*w^5 + w^4 - 15*w^3 - 4*w^2 + 25*w - 4]', '[3299, 3299, 4*w^5 - 25*w^3 - w^2 + 32*w - 1]', '[3299, 3299, w^4 - w^3 - 4*w^2 + 2*w + 6]', '[3301, 3301, -6*w^5 - w^4 + 38*w^3 + 4*w^2 - 54*w + 1]', '[3301, 3301, 3*w^5 + 2*w^4 - 21*w^3 - 9*w^2 + 31*w + 4]', '[3301, 3301, -2*w^5 - 3*w^4 + 13*w^3 + 12*w^2 - 20*w - 4]', '[3301, 3301, 5*w^5 + 2*w^4 - 33*w^3 - 11*w^2 + 51*w + 8]', '[3316, 1658, -6*w^5 - w^4 + 40*w^3 + 4*w^2 - 61*w]', '[3316, 1658, -w^5 + 2*w^4 + 5*w^3 - 8*w^2 - 7*w + 4]', '[3319, 3319, 2*w^5 - 2*w^4 - 11*w^3 + 9*w^2 + 12*w - 3]', '[3319, 3319, -3*w^5 - w^4 + 19*w^3 + 5*w^2 - 24*w]', '[3329, 3329, 4*w^5 + 2*w^4 - 26*w^3 - 7*w^2 + 40*w - 4]', '[3331, 3331, -4*w^5 - 2*w^4 + 27*w^3 + 8*w^2 - 42*w]', '[3331, 3331, 4*w^5 + 2*w^4 - 28*w^3 - 8*w^2 + 46*w - 1]', '[3344, 418, -w^5 + 8*w^3 + w^2 - 17*w]', '[3344, 836, -2*w^5 - w^4 + 11*w^3 + 6*w^2 - 13*w - 9]', '[3356, 1678, 3*w^5 - 19*w^3 - w^2 + 30*w + 1]', '[3356, 1678, w^5 - 5*w^3 - 2*w^2 + 5*w + 8]', '[3359, 3359, -3*w^5 + 20*w^3 - 28*w - 1]', '[3361, 3361, -6*w^5 - w^4 + 37*w^3 + 5*w^2 - 50*w + 1]', '[3364, 58, -3*w^5 + 20*w^3 + 2*w^2 - 33*w - 5]', '[3364, 1682, -2*w^5 - w^4 + 14*w^3 + 4*w^2 - 25*w + 4]', '[3371, 3371, -5*w^5 - 3*w^4 + 34*w^3 + 13*w^2 - 53*w - 5]', '[3371, 3371, -w^4 + 2*w^3 + 4*w^2 - 10*w + 1]', '[3376, 422, -3*w^5 - 2*w^4 + 18*w^3 + 7*w^2 - 23*w + 2]', '[3376, 844, -3*w^5 - w^4 + 17*w^3 + 4*w^2 - 20*w + 4]', '[3379, 3379, -w^5 + w^4 + 6*w^3 - 2*w^2 - 11*w]', '[3389, 3389, -w^5 - w^4 + 9*w^3 + 6*w^2 - 16*w - 5]', '[3391, 3391, -2*w^5 - 3*w^4 + 13*w^3 + 15*w^2 - 19*w - 12]', '[3391, 3391, 3*w^5 - 21*w^3 + 33*w + 1]', '[3391, 3391, 5*w^5 + 2*w^4 - 34*w^3 - 10*w^2 + 52*w + 2]', '[3391, 3391, 2*w^5 + w^4 - 15*w^3 - 4*w^2 + 25*w - 2]', '[3401, 3401, 7*w^5 - 44*w^3 + w^2 + 61*w - 7]', '[3401, 3401, -2*w^5 - w^4 + 12*w^3 + 3*w^2 - 17*w - 3]', '[3401, 3401, -w^5 - 3*w^4 + 9*w^3 + 15*w^2 - 21*w - 8]', '[3401, 3401, -4*w^5 - 4*w^4 + 29*w^3 + 18*w^2 - 48*w - 8]', '[3421, 3421, 6*w^5 + 2*w^4 - 39*w^3 - 8*w^2 + 59*w - 1]', '[3421, 3421, 3*w^5 - w^4 - 20*w^3 + 3*w^2 + 31*w + 1]', '[3421, 3421, -6*w^5 - 2*w^4 + 39*w^3 + 9*w^2 - 58*w + 1]', '[3421, 3421, 4*w^5 + 2*w^4 - 24*w^3 - 10*w^2 + 32*w + 9]', '[3436, 1718, -2*w^4 + 2*w^3 + 9*w^2 - 5*w - 5]', '[3439, 3439, 3*w^5 + w^4 - 17*w^3 - 7*w^2 + 19*w + 10]', '[3439, 3439, w^5 + w^4 - 6*w^3 - 8*w^2 + 6*w + 14]', '[3449, 3449, -6*w^5 - 3*w^4 + 39*w^3 + 13*w^2 - 58*w - 3]', '[3449, 3449, 5*w^5 - 30*w^3 - w^2 + 39*w - 1]', '[3449, 3449, -2*w^4 + 9*w^2 - 6]', '[3461, 3461, 4*w^5 - 26*w^3 + w^2 + 37*w - 4]', '[3461, 3461, 4*w^5 + 2*w^4 - 26*w^3 - 11*w^2 + 38*w + 4]', '[3469, 3469, 3*w^5 - 17*w^3 + w^2 + 21*w - 3]', '[3469, 3469, -w^5 - w^4 + 8*w^3 + 7*w^2 - 16*w - 10]', '[3476, 1738, 2*w^4 + 2*w^3 - 13*w^2 - 7*w + 17]', '[3476, 1738, 2*w^5 - 14*w^3 + w^2 + 23*w - 1]', '[3476, 1738, -3*w^5 + 21*w^3 - w^2 - 36*w + 5]', '[3481, 59, -w^5 - 3*w^4 + 8*w^3 + 12*w^2 - 14*w - 2]', '[3481, 3481, w^5 - 3*w^3 - 2*w + 3]', '[3491, 3491, -2*w^5 - 2*w^4 + 13*w^3 + 11*w^2 - 21*w - 11]', '[3491, 3491, 3*w^5 - w^4 - 18*w^3 + 6*w^2 + 25*w - 10]', '[3491, 3491, -3*w^5 - 2*w^4 + 18*w^3 + 9*w^2 - 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2*w^4 + 23*w^3 + 8*w^2 - 40*w - 1]', '[3581, 3581, w^5 - 8*w^3 - 2*w^2 + 16*w + 6]', '[3596, 1798, -3*w^5 + 19*w^3 - 2*w^2 - 27*w + 6]', '[3599, 3599, 2*w^5 - 13*w^3 + 3*w^2 + 20*w - 7]', '[3599, 3599, 4*w^5 + w^4 - 24*w^3 - 3*w^2 + 31*w - 2]', '[3625, 145, 5*w^5 - 32*w^3 + w^2 + 46*w - 9]', '[3629, 3629, 4*w^5 - w^4 - 25*w^3 + 6*w^2 + 34*w - 11]', '[3631, 3631, 6*w^5 + 2*w^4 - 37*w^3 - 11*w^2 + 50*w + 7]', '[3641, 3641, -7*w^5 - 3*w^4 + 44*w^3 + 13*w^2 - 64*w - 4]', '[3644, 1822, -3*w^5 + 22*w^3 - 2*w^2 - 37*w + 5]', '[3644, 1822, -4*w^5 - 2*w^4 + 31*w^3 + 8*w^2 - 56*w - 5]', '[3649, 3649, -9*w^5 - 2*w^4 + 59*w^3 + 10*w^2 - 88*w - 6]', '[3649, 3649, -5*w^5 - w^4 + 31*w^3 + 4*w^2 - 43*w + 1]', '[3649, 3649, 4*w^5 + 2*w^4 - 26*w^3 - 11*w^2 + 38*w + 6]', '[3649, 3649, -5*w^5 - 2*w^4 + 34*w^3 + 9*w^2 - 50*w + 1]', '[3649, 3649, -w^5 - 2*w^4 + 8*w^3 + 9*w^2 - 11*w - 3]', '[3649, 3649, 3*w^5 - 22*w^3 - w^2 + 39*w + 1]', '[3659, 3659, -4*w^5 - w^4 + 24*w^3 + 3*w^2 - 33*w + 2]', '[3659, 3659, 3*w^5 - 20*w^3 + 29*w - 2]', '[3659, 3659, -w^5 + 7*w^3 + 2*w^2 - 11*w - 9]', '[3659, 3659, -4*w^5 - 2*w^4 + 28*w^3 + 10*w^2 - 44*w - 5]', '[3664, 458, 2*w^5 + w^4 - 12*w^3 - 6*w^2 + 13*w + 5]', '[3664, 458, 4*w^5 + 3*w^4 - 24*w^3 - 14*w^2 + 31*w + 5]', '[3664, 916, 2*w^5 + 2*w^4 - 12*w^3 - 11*w^2 + 15*w + 7]', '[3664, 916, 4*w^5 + 3*w^4 - 24*w^3 - 14*w^2 + 29*w + 6]', '[3671, 3671, -w^5 + 6*w^3 + 4*w^2 - 7*w - 10]', '[3671, 3671, w^4 - w^3 - 5*w^2 + 3*w - 1]', '[3671, 3671, -5*w^5 - 2*w^4 + 31*w^3 + 12*w^2 - 43*w - 11]', '[3671, 3671, -4*w^5 - 2*w^4 + 28*w^3 + 10*w^2 - 43*w - 6]', '[3676, 1838, -4*w^5 + w^4 + 24*w^3 - 4*w^2 - 33*w + 6]', '[3676, 1838, -w^5 - w^4 + 5*w^3 + 6*w^2 - 6*w - 4]', '[3691, 3691, -w^5 - 2*w^4 + 7*w^3 + 12*w^2 - 12*w - 12]', '[3701, 3701, -w^5 - 2*w^4 + 8*w^3 + 12*w^2 - 15*w - 12]', '[3701, 3701, 5*w^5 + 2*w^4 - 32*w^3 - 12*w^2 + 45*w + 10]', '[3701, 3701, -5*w^5 - w^4 + 33*w^3 + 4*w^2 - 51*w + 3]', '[3701, 3701, 5*w^5 + 3*w^4 - 33*w^3 - 15*w^2 + 48*w + 7]', '[3709, 3709, -2*w^5 - w^4 + 11*w^3 + 5*w^2 - 10*w - 7]', '[3709, 3709, -4*w^5 - w^4 + 26*w^3 + 3*w^2 - 36*w + 2]', '[3709, 3709, -5*w^5 - 3*w^4 + 32*w^3 + 12*w^2 - 47*w]', '[3709, 3709, -2*w^5 - w^4 + 14*w^3 + 5*w^2 - 25*w - 5]', '[3709, 3709, 2*w^5 - 2*w^4 - 12*w^3 + 9*w^2 + 17*w - 8]', '[3709, 3709, 6*w^5 + 2*w^4 - 40*w^3 - 8*w^2 + 61*w - 2]', '[3716, 1858, 2*w^5 + 2*w^4 - 14*w^3 - 11*w^2 + 21*w + 13]', '[3721, 61, -2*w^5 - 3*w^4 + 15*w^3 + 11*w^2 - 27*w + 1]', '[3721, 61, -2*w^5 + w^4 + 12*w^3 - 5*w^2 - 17*w + 1]', '[3721, 61, 3*w^5 + w^4 - 16*w^3 - 5*w^2 + 16*w + 2]', '[3721, 3721, -3*w^5 - w^4 + 19*w^3 + 3*w^2 - 27*w]', '[3721, 3721, -4*w^5 + 26*w^3 - 37*w + 1]', '[3739, 3739, 2*w^4 - w^3 - 10*w^2 + 3*w + 4]', '[3751, 341, 3*w^5 - 3*w^4 - 15*w^3 + 8*w^2 + 17*w + 2]', '[3751, 3751, -2*w^5 + 13*w^3 - 2*w^2 - 20*w + 4]', '[3764, 1882, -2*w^5 + 14*w^3 + w^2 - 25*w + 1]', '[3764, 1882, -3*w^5 + 2*w^4 + 17*w^3 - 7*w^2 - 24*w + 5]', '[3769, 3769, -3*w^5 - 3*w^4 + 19*w^3 + 14*w^2 - 28*w - 9]', '[3769, 3769, -2*w^5 + 14*w^3 - 3*w^2 - 22*w + 7]', '[3776, 118, -2*w^5 + 14*w^3 + 2*w^2 - 22*w]', '[3776, 472, -2*w^5 + w^4 + 13*w^3 - 2*w^2 - 19*w - 3]', '[3779, 3779, -w^5 + w^4 + 5*w^3 - 6*w^2 - 6*w + 5]', '[3779, 3779, 2*w^4 - 2*w^3 - 11*w^2 + 6*w + 11]', '[3781, 3781, w^4 - w^3 - 7*w^2 + 5*w + 9]', '[3781, 3781, -w^5 - w^4 + 6*w^3 + 9*w^2 - 8*w - 20]', '[3781, 3781, 4*w^5 - w^4 - 25*w^3 + 5*w^2 + 33*w - 7]', '[3781, 3781, w^4 + 2*w^3 - 4*w^2 - 8*w + 2]', '[3799, 3799, 2*w^5 + w^4 - 11*w^3 - 7*w^2 + 12*w + 11]', '[3799, 3799, w^5 + w^4 - 4*w^3 - 6*w^2 + w + 8]', '[3821, 3821, -w^5 - w^4 + 9*w^3 + 3*w^2 - 21*w + 4]', '[3824, 478, -w^4 + 4*w^3 + 4*w^2 - 13*w + 1]', '[3824, 956, -2*w^5 + 2*w^4 + 11*w^3 - 7*w^2 - 13*w + 2]', '[3839, 3839, -2*w^5 - w^4 + 13*w^3 + 2*w^2 - 22*w - 1]', '[3839, 3839, w^3 - 4*w^2 - 3*w + 13]', '[3839, 3839, w^5 - w^4 - 8*w^3 + 5*w^2 + 16*w - 6]', '[3844, 62, -2*w^5 - 2*w^4 + 15*w^3 + 7*w^2 - 25*w + 4]', '[3844, 1922, -2*w^5 + 11*w^3 - 2*w^2 - 12*w + 5]', '[3851, 3851, -w^4 - w^3 + 5*w^2 + 5*w - 7]', '[3851, 3851, 2*w^5 + 2*w^4 - 14*w^3 - 8*w^2 + 21*w + 5]', '[3856, 482, -2*w^5 - w^4 + 16*w^3 + 6*w^2 - 29*w - 5]', '[3856, 964, -4*w^5 + 26*w^3 + 3*w^2 - 39*w - 7]', '[3875, 155, -4*w^5 + 23*w^3 + 3*w^2 - 29*w - 5]', '[3881, 3881, -3*w^5 - 2*w^4 + 21*w^3 + 11*w^2 - 32*w - 10]', '[3884, 1942, -4*w^5 + 25*w^3 + w^2 - 37*w + 4]', '[3904, 122, 2*w^5 - 14*w^3 + 20*w]', '[3904, 122, 4*w^5 - 24*w^3 - 2*w^2 + 32*w + 6]', '[3904, 488, 2*w^5 + 2*w^4 - 17*w^3 - 9*w^2 + 33*w + 4]', '[3904, 488, 7*w^5 + 2*w^4 - 48*w^3 - 10*w^2 + 79*w + 3]', '[3911, 3911, -w^5 + 2*w^4 + 5*w^3 - 8*w^2 - 4*w + 7]', '[3916, 1958, 3*w^5 + 3*w^4 - 20*w^3 - 16*w^2 + 28*w + 13]', '[3916, 1958, -w^5 - w^4 + 9*w^3 + 6*w^2 - 20*w - 6]', '[3916, 1958, 4*w^5 + w^4 - 27*w^3 - 6*w^2 + 41*w + 1]', '[3919, 3919, 2*w^5 - w^4 - 14*w^3 + 3*w^2 + 23*w - 3]', '[3919, 3919, 2*w^5 + w^4 - 12*w^3 - 8*w^2 + 14*w + 12]', '[3929, 3929, w^5 + w^4 - 10*w^3 - 3*w^2 + 21*w - 1]', '[3931, 3931, -w^5 + w^4 + 6*w^3 - 5*w^2 - 6*w + 8]', '[3931, 3931, w^5 - 7*w^3 + w^2 + 12*w - 8]', '[3949, 3949, -9*w^5 - 4*w^4 + 57*w^3 + 17*w^2 - 81*w - 2]', '[3949, 3949, 9*w^5 + 4*w^4 - 59*w^3 - 20*w^2 + 86*w + 8]', '[3964, 1982, -2*w^5 - w^4 + 11*w^3 + 10*w^2 - 15*w - 17]', '[3971, 209, 3*w^5 + w^4 - 21*w^3 - 4*w^2 + 33*w - 4]', '[3971, 3971, -2*w^5 + 13*w^3 + 2*w^2 - 20*w]', '[3989, 3989, 3*w^5 + w^4 - 19*w^3 - 8*w^2 + 26*w + 9]', '[3989, 3989, -4*w^5 - 3*w^4 + 27*w^3 + 12*w^2 - 42*w + 1]', '[3989, 3989, 3*w^5 + 2*w^4 - 18*w^3 - 9*w^2 + 24*w + 7]', '[3989, 3989, 5*w^5 + 3*w^4 - 33*w^3 - 13*w^2 + 50*w + 5]', '[4001, 4001, 2*w^5 - 11*w^3 + w^2 + 14*w - 6]', '[4001, 4001, w^5 - 2*w^4 - 3*w^3 + 9*w^2 - w - 4]', '[4009, 4009, -6*w^5 - 2*w^4 + 40*w^3 + 7*w^2 - 60*w + 4]', '[4016, 502, -3*w^5 - w^4 + 18*w^3 + 5*w^2 - 20*w - 1]', '[4016, 502, w^5 - 8*w^3 + w^2 + 17*w - 4]', '[4016, 502, -w^5 + w^4 + 4*w^3 - 5*w^2 + 2*w + 3]', '[4016, 502, 4*w^5 + 5*w^4 - 26*w^3 - 22*w^2 + 41*w + 9]', '[4016, 1004, -3*w^5 - 2*w^4 + 18*w^3 + 10*w^2 - 23*w - 1]', '[4016, 1004, 2*w^5 - w^4 - 14*w^3 + 6*w^2 + 23*w - 6]', '[4016, 1004, -w^4 + 4*w^2 - w + 4]', '[4016, 1004, 5*w^5 + 2*w^4 - 29*w^3 - 11*w^2 + 34*w + 11]', '[4019, 4019, -3*w^5 + w^4 + 17*w^3 - 4*w^2 - 21*w + 4]', '[4031, 4031, 9*w^5 + 5*w^4 - 59*w^3 - 27*w^2 + 87*w + 22]', '[4036, 2018, -w^4 - w^3 + 5*w^2 + 2*w - 2]', '[4036, 2018, -5*w^5 + 34*w^3 - 53*w + 1]', '[4049, 4049, w^5 + 2*w^4 - 6*w^3 - 10*w^2 + 7*w + 4]', '[4051, 4051, -2*w^5 - 2*w^4 + 12*w^3 + 11*w^2 - 16*w - 6]', '[4061, 4061, -3*w^5 + 2*w^4 + 16*w^3 - 7*w^2 - 16*w + 1]', '[4061, 4061, -w^5 + 2*w^4 + 3*w^3 - 7*w^2 + 3*w + 2]', '[4076, 2038, -w^4 + 3*w^3 + 3*w^2 - 8*w - 4]', '[4076, 2038, -2*w^5 - 3*w^4 + 16*w^3 + 12*w^2 - 29*w - 4]', '[4076, 2038, -3*w^5 + 20*w^3 - 31*w + 5]', '[4079, 4079, -5*w^5 - w^4 + 32*w^3 + 4*w^2 - 47*w + 5]', '[4079, 4079, w^4 - 2*w^3 - 3*w^2 + 6*w - 4]', '[4079, 4079, 2*w^5 + w^4 - 14*w^3 - 3*w^2 + 20*w - 4]', '[4084, 2042, 2*w^5 - 2*w^4 - 10*w^3 + 5*w^2 + 11*w + 3]', '[4091, 4091, -w^5 - 2*w^4 + 10*w^3 + 8*w^2 - 20*w]', '[4096, 4, 4]', '[4096, 8, 3*w^5 + 2*w^4 - 20*w^3 - 7*w^2 + 31*w - 2]', '[4096, 16, 4*w^5 + 2*w^4 - 28*w^3 - 8*w^2 + 46*w]', '[4096, 64, -w^5 - w^4 + 9*w^3 + 6*w^2 - 16*w - 4]', '[4099, 4099, -3*w^5 - 2*w^4 + 21*w^3 + 11*w^2 - 33*w - 5]', '[4099, 4099, 3*w^5 - w^4 - 19*w^3 + 4*w^2 + 25*w - 2]', '[4099, 4099, -3*w^5 - 2*w^4 + 19*w^3 + 8*w^2 - 28*w + 2]', '[4111, 4111, 4*w^5 - 25*w^3 + 37*w - 4]', '[4124, 2062, -w^5 - w^4 + 8*w^3 + 5*w^2 - 13*w - 8]', '[4124, 2062, -7*w^5 + 45*w^3 + 2*w^2 - 67*w]', '[4129, 4129, -w^4 - w^3 + 6*w^2 + w - 8]', '[4141, 4141, -w^5 + w^4 + 4*w^3 - 3*w^2 - w + 3]', '[4141, 4141, -3*w^5 - w^4 + 18*w^3 + 8*w^2 - 23*w - 9]', '[4156, 2078, -4*w^5 - w^4 + 25*w^3 + 8*w^2 - 37*w - 9]', '[4156, 2078, -w^5 + 9*w^3 - 3*w^2 - 16*w + 7]', '[4156, 2078, 3*w^5 + 3*w^4 - 23*w^3 - 14*w^2 + 40*w + 10]', '[4156, 2078, -2*w^5 - w^4 + 11*w^3 + 5*w^2 - 14*w]', '[4159, 4159, -6*w^5 - 2*w^4 + 39*w^3 + 8*w^2 - 57*w + 1]', '[4159, 4159, -w^4 + w^3 + 6*w^2 - w - 4]', '[4159, 4159, -5*w^5 + 32*w^3 + 2*w^2 - 46*w - 2]', '[4159, 4159, 4*w^5 + 2*w^4 - 28*w^3 - 7*w^2 + 45*w - 4]', '[4159, 4159, 3*w^5 - w^4 - 18*w^3 + 8*w^2 + 24*w - 16]', '[4159, 4159, 3*w^5 + w^4 - 22*w^3 - 3*w^2 + 36*w - 4]', '[4169, 4169, -6*w^5 - 2*w^4 + 36*w^3 + 9*w^2 - 48*w - 3]', '[4169, 4169, -6*w^5 - 2*w^4 + 38*w^3 + 11*w^2 - 54*w - 9]', '[4189, 4189, w^5 + w^4 - 7*w^3 - 5*w^2 + 8*w + 2]', '[4189, 4189, 4*w^5 + w^4 - 26*w^3 - 5*w^2 + 36*w + 4]', '[4189, 4189, w^4 - 3*w^3 - 2*w^2 + 11*w - 4]', '[4196, 2098, 4*w^5 - 27*w^3 + w^2 + 41*w - 6]', '[4196, 2098, -w^5 - w^4 + 6*w^3 + 7*w^2 - 7*w - 6]', '[4201, 4201, w^4 - w^3 - 7*w^2 + 5*w + 8]', '[4201, 4201, 2*w^5 - w^4 - 11*w^3 + 2*w^2 + 10*w + 4]', '[4204, 2102, w^5 + 2*w^4 - 7*w^3 - 9*w^2 + 10*w + 9]', '[4219, 4219, -5*w^5 - 3*w^4 + 33*w^3 + 15*w^2 - 50*w - 10]', '[4219, 4219, -5*w^5 - 2*w^4 + 32*w^3 + 9*w^2 - 46*w - 5]', '[4219, 4219, 3*w^5 + w^4 - 19*w^3 - 5*w^2 + 29*w - 2]', '[4219, 4219, -4*w^5 - w^4 + 25*w^3 + 5*w^2 - 35*w - 6]', '[4229, 4229, -w^5 - 2*w^4 + 8*w^3 + 11*w^2 - 15*w - 7]', '[4231, 4231, -2*w^5 - w^4 + 16*w^3 + 5*w^2 - 29*w + 1]', '[4231, 4231, w^5 + 2*w^4 - 7*w^3 - 12*w^2 + 11*w + 11]', '[4231, 4231, -6*w^5 - w^4 + 38*w^3 + 4*w^2 - 54*w + 3]', '[4231, 4231, 2*w^5 + w^4 - 11*w^3 - 3*w^2 + 14*w - 3]', '[4241, 4241, w^4 - 5*w^2 - w + 9]', '[4259, 4259, 2*w^5 + 2*w^4 - 14*w^3 - 9*w^2 + 21*w]', '[4261, 4261, 3*w^5 + 2*w^4 - 22*w^3 - 7*w^2 + 38*w - 1]', '[4261, 4261, -3*w^5 + w^4 + 19*w^3 - 5*w^2 - 29*w + 6]', '[4261, 4261, -2*w^5 - 2*w^4 + 14*w^3 + 12*w^2 - 23*w - 12]', '[4261, 4261, 2*w^5 - w^4 - 13*w^3 + 3*w^2 + 21*w - 2]', '[4271, 4271, -w^5 + 6*w^3 + 2*w^2 - 10*w - 6]', '[4276, 2138, -3*w^2 + w + 7]', '[4279, 4279, w^5 + 2*w^4 - 6*w^3 - 6*w^2 + 10*w - 2]', '[4289, 4289, 2*w^5 + 2*w^4 - 11*w^3 - 10*w^2 + 13*w + 7]', '[4304, 538, -2*w^5 - w^4 + 12*w^3 + 4*w^2 - 19*w + 1]', '[4304, 1076, -2*w^5 - w^4 + 14*w^3 + 2*w^2 - 21*w + 2]', '[4309, 4309, -10*w^5 - 4*w^4 + 68*w^3 + 18*w^2 - 106*w - 5]', '[4321, 4321, 4*w^5 + w^4 - 26*w^3 - 7*w^2 + 39*w + 5]', '[4331, 4331, 3*w^5 + w^4 - 21*w^3 - 3*w^2 + 32*w - 2]', '[4331, 4331, 4*w^5 - 25*w^3 + w^2 + 36*w - 5]', '[4331, 4331, -5*w^5 - 2*w^4 + 34*w^3 + 9*w^2 - 52*w - 1]', '[4331, 4331, -2*w^5 - 2*w^4 + 14*w^3 + 10*w^2 - 25*w - 8]', '[4331, 4331, -2*w^5 - w^4 + 14*w^3 + 6*w^2 - 20*w - 5]', '[4331, 4331, -2*w^5 - 2*w^4 + 13*w^3 + 8*w^2 - 20*w + 2]', '[4336, 542, -w^5 + w^4 + 6*w^3 - w^2 - 8*w - 5]', '[4336, 1084, -w^5 - 2*w^4 + 10*w^3 + 9*w^2 - 20*w - 8]', '[4339, 4339, 4*w^5 + w^4 - 24*w^3 - 5*w^2 + 33*w - 1]', '[4339, 4339, -w^5 + 9*w^3 - w^2 - 20*w + 6]', '[4339, 4339, 3*w^3 - 10*w + 2]', '[4339, 4339, -3*w^5 - w^4 + 18*w^3 + 8*w^2 - 23*w - 12]', '[4349, 4349, w^5 - 2*w^4 - 3*w^3 + 9*w^2 - 3*w - 6]', '[4349, 4349, 5*w^5 + w^4 - 32*w^3 - 7*w^2 + 45*w + 7]', '[4349, 4349, -2*w^5 - 2*w^4 + 11*w^3 + 8*w^2 - 13*w]', '[4351, 4351, 6*w^5 + 3*w^4 - 38*w^3 - 16*w^2 + 54*w + 10]', '[4351, 4351, 3*w^5 + 2*w^4 - 19*w^3 - 11*w^2 + 25*w + 11]', '[4364, 2182, w^5 - w^4 - 2*w^3 + 3*w^2 - 5*w - 4]', '[4379, 4379, -5*w^5 + 34*w^3 - 2*w^2 - 54*w + 12]', '[4379, 4379, 2*w^4 - 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12*w^3 - 7*w^2 + 18*w + 8]', '[4444, 2222, 4*w^5 - w^4 - 25*w^3 + 6*w^2 + 35*w - 13]', '[4451, 4451, -w^5 + 7*w^3 + 3*w^2 - 11*w - 4]', '[4451, 4451, 3*w^5 + 2*w^4 - 22*w^3 - 10*w^2 + 37*w + 6]', '[4451, 4451, -w^5 - w^4 + 4*w^3 + 6*w^2 - w - 7]', '[4451, 4451, 2*w^5 + 2*w^4 - 14*w^3 - 8*w^2 + 22*w - 3]', '[4469, 4469, -3*w^3 + w^2 + 10*w - 2]', '[4469, 4469, -5*w^5 + 30*w^3 + 2*w^2 - 41*w - 2]', '[4484, 2242, -6*w^5 - 3*w^4 + 37*w^3 + 12*w^2 - 51*w - 3]', '[4496, 562, -2*w^5 - 3*w^4 + 16*w^3 + 16*w^2 - 29*w - 9]', '[4496, 1124, -4*w^5 - w^4 + 24*w^3 + 8*w^2 - 29*w - 12]', '[4499, 4499, -6*w^5 - 4*w^4 + 39*w^3 + 17*w^2 - 58*w - 5]', '[4499, 4499, -w^5 + w^4 + 10*w^3 - 3*w^2 - 20*w + 2]', '[4516, 2258, -3*w^5 - w^4 + 21*w^3 + 4*w^2 - 34*w - 4]', '[4516, 2258, 4*w^5 - 3*w^4 - 22*w^3 + 9*w^2 + 28*w - 3]', '[4516, 2258, 3*w^5 - 18*w^3 - 2*w^2 + 25*w - 1]', '[4516, 2258, -w^4 - w^3 + 4*w^2 + w + 1]', '[4519, 4519, -3*w^5 - 3*w^4 + 21*w^3 + 12*w^2 - 35*w]', '[4541, 4541, -w^5 + w^4 + 4*w^3 - 5*w^2 - 3*w + 1]', '[4544, 142, -4*w^5 - 2*w^4 + 24*w^3 + 10*w^2 - 32*w - 8]', '[4544, 142, 4*w^5 + 4*w^4 - 30*w^3 - 18*w^2 + 54*w + 6]', '[4544, 142, -2*w^5 + 14*w^3 - 2*w^2 - 24*w + 4]', '[4544, 568, -2*w^5 + 14*w^3 - w^2 - 25*w + 3]', '[4544, 568, 8*w^5 - w^4 - 51*w^3 + 3*w^2 + 72*w + 4]', '[4544, 568, -7*w^5 - 3*w^4 + 47*w^3 + 15*w^2 - 73*w - 11]', '[4549, 4549, -2*w^5 + 12*w^3 - w^2 - 17*w + 8]', '[4549, 4549, 4*w^5 + w^4 - 24*w^3 - 5*w^2 + 30*w - 4]', '[4549, 4549, -3*w^5 + 19*w^3 - 2*w^2 - 27*w + 5]', '[4549, 4549, -w^5 + 6*w^3 - 2*w^2 - 9*w + 2]', '[4561, 4561, 4*w^5 + 3*w^4 - 28*w^3 - 13*w^2 + 44*w + 2]', '[4579, 4579, -2*w^5 + 12*w^3 - 18*w - 3]', '[4591, 4591, 2*w^5 - 11*w^3 - 3*w^2 + 10*w + 6]', '[4604, 2302, 3*w^5 - w^4 - 17*w^3 + w^2 + 23*w + 5]', '[4609, 4609, -3*w^5 - w^4 + 21*w^3 + 3*w^2 - 36*w + 2]', '[4609, 4609, -7*w^5 - w^4 + 46*w^3 + 7*w^2 - 68*w - 2]', '[4609, 4609, -3*w^5 - 2*w^4 + 20*w^3 + 10*w^2 - 30*w - 10]', '[4609, 4609, 3*w^5 + 2*w^4 - 17*w^3 - 10*w^2 + 20*w + 3]', '[4619, 4619, w^5 + w^4 - 6*w^3 - 6*w^2 + 7*w + 2]', '[4621, 4621, -2*w^5 - 2*w^4 + 13*w^3 + 7*w^2 - 20*w + 3]', '[4621, 4621, 3*w^5 + w^4 - 19*w^3 - 7*w^2 + 27*w + 4]', '[4621, 4621, 2*w^5 + 3*w^4 - 15*w^3 - 13*w^2 + 28*w + 5]', '[4621, 4621, -2*w^5 - w^4 + 13*w^3 + 4*w^2 - 20*w + 5]', '[4624, 34, w^4 + 2*w^3 - 4*w^2 - 5*w + 1]', '[4624, 68, -w^5 + w^4 + 7*w^3 - 3*w^2 - 13*w + 1]', '[4631, 4631, 7*w^5 + w^4 - 47*w^3 - 7*w^2 + 70*w + 3]', '[4631, 4631, w^5 + w^4 - 4*w^3 - 6*w^2 + 2]', '[4631, 4631, -6*w^5 - 3*w^4 + 40*w^3 + 13*w^2 - 63*w - 6]', '[4631, 4631, -4*w^5 + 29*w^3 + 3*w^2 - 45*w - 1]', '[4636, 2318, 4*w^5 + 2*w^4 - 25*w^3 - 9*w^2 + 37*w + 2]', '[4636, 2318, 3*w^5 + 2*w^4 - 22*w^3 - 10*w^2 + 37*w + 5]', '[4639, 4639, -w^5 + w^4 + 5*w^3 - 2*w^2 - 6*w - 5]', '[4649, 4649, w^5 + w^4 - 7*w^3 - 7*w^2 + 13*w + 10]', '[4649, 4649, -2*w^5 - w^4 + 13*w^3 + 6*w^2 - 19*w - 10]', '[4651, 4651, 3*w^5 + w^4 - 19*w^3 - 5*w^2 + 24*w + 4]', '[4651, 4651, -4*w^5 + 25*w^3 - 2*w^2 - 35*w + 7]', '[4651, 4651, -w^5 - 3*w^4 + 8*w^3 + 12*w^2 - 15*w - 3]', '[4651, 4651, -w^5 + 3*w^3 + w^2 + 3*w - 1]', '[4661, 4661, -w^5 + w^4 + 4*w^3 - 4*w^2 - 2*w - 2]', '[4661, 4661, -3*w^5 + 19*w^3 + 3*w^2 - 26*w - 4]', '[4661, 4661, 2*w^5 - w^4 - 13*w^3 + 5*w^2 + 17*w - 6]', '[4679, 4679, -2*w^5 - w^4 + 16*w^3 + 3*w^2 - 30*w + 6]', '[4681, 4681, 4*w^5 + 2*w^4 - 27*w^3 - 11*w^2 + 44*w + 7]', '[4681, 4681, 9*w^5 + 2*w^4 - 57*w^3 - 13*w^2 + 83*w + 9]', '[4681, 4681, -w^5 - 2*w^4 + 11*w^3 + 7*w^2 - 25*w + 1]', '[4681, 4681, -6*w^5 + 38*w^3 + 2*w^2 - 57*w + 1]', '[4691, 4691, -w^5 + 8*w^3 - 17*w + 4]', '[4691, 4691, -3*w^5 - 3*w^4 + 20*w^3 + 13*w^2 - 30*w - 6]', '[4721, 4721, 3*w^5 - 20*w^3 + w^2 + 30*w - 1]', '[4721, 4721, w^5 + 3*w^4 - 9*w^3 - 14*w^2 + 19*w + 9]', '[4721, 4721, -2*w^5 + 11*w^3 - w^2 - 10*w + 2]', '[4724, 2362, -6*w^5 + 38*w^3 + 3*w^2 - 55*w - 3]', '[4729, 4729, 4*w^5 + 3*w^4 - 27*w^3 - 14*w^2 + 41*w + 8]', '[4729, 4729, 4*w^5 + 2*w^4 - 26*w^3 - 11*w^2 + 38*w + 5]', '[4729, 4729, 3*w^5 + 3*w^4 - 21*w^3 - 14*w^2 + 35*w + 7]', '[4741, 4741, 5*w^5 + 4*w^4 - 31*w^3 - 18*w^2 + 43*w + 9]', '[4741, 4741, 8*w^5 + 3*w^4 - 49*w^3 - 14*w^2 + 67*w + 4]', '[4741, 4741, 5*w^5 + 2*w^4 - 30*w^3 - 9*w^2 + 41*w + 1]', '[4751, 4751, 3*w^5 - w^4 - 17*w^3 + 2*w^2 + 19*w + 3]', '[4756, 2378, -w^5 - 3*w^4 + 10*w^3 + 13*w^2 - 21*w - 6]', '[4756, 2378, 2*w^5 + 3*w^4 - 14*w^3 - 14*w^2 + 23*w + 8]', '[4759, 4759, 6*w^5 + w^4 - 37*w^3 - 4*w^2 + 49*w - 2]', '[4769, 4769, -4*w^5 - 2*w^4 + 26*w^3 + 12*w^2 - 37*w - 15]', '[4769, 4769, -5*w^5 + 32*w^3 - w^2 - 44*w + 3]', '[4769, 4769, w^5 + 4*w^4 - 7*w^3 - 20*w^2 + 12*w + 14]', '[4769, 4769, -6*w^5 - 2*w^4 + 39*w^3 + 9*w^2 - 55*w - 3]', '[4789, 4789, -w^5 + 5*w^3 - 6*w + 4]', '[4789, 4789, 3*w^5 + 3*w^4 - 21*w^3 - 14*w^2 + 33*w + 9]', '[4789, 4789, 2*w^5 + 2*w^4 - 11*w^3 - 9*w^2 + 12*w + 7]', '[4789, 4789, 2*w^5 - 12*w^3 + 15*w + 4]', '[4796, 2398, w^5 - w^4 - 4*w^3 + 5*w^2 + w - 6]', '[4799, 4799, 2*w^5 - 12*w^3 + 14*w - 5]', '[4799, 4799, 5*w^5 + w^4 - 32*w^3 - 5*w^2 + 44*w + 2]', '[4799, 4799, 3*w^5 + 2*w^4 - 19*w^3 - 10*w^2 + 25*w + 9]', '[4799, 4799, -4*w^5 + 26*w^3 - 37*w + 2]', '[4801, 4801, 4*w^5 + 2*w^4 - 24*w^3 - 11*w^2 + 31*w + 10]', '[4804, 2402, 4*w^5 + w^4 - 26*w^3 - 3*w^2 + 38*w - 3]', '[4819, 4819, -3*w^5 - 2*w^4 + 20*w^3 + 11*w^2 - 30*w - 5]', '[4819, 4819, w^5 - 7*w^3 - 3*w^2 + 12*w + 6]', '[4819, 4819, -5*w^5 - 3*w^4 + 34*w^3 + 14*w^2 - 53*w - 7]', '[4819, 4819, w^5 - 2*w^4 - 7*w^3 + 10*w^2 + 12*w - 9]', '[4819, 4819, -3*w^5 - w^4 + 18*w^3 + 7*w^2 - 21*w - 9]', '[4819, 4819, -2*w^5 - 2*w^4 + 16*w^3 + 9*w^2 - 28*w - 4]', '[4829, 4829, 6*w^5 + 2*w^4 - 42*w^3 - 11*w^2 + 66*w + 6]', '[4831, 4831, -2*w^5 + 2*w^4 + 12*w^3 - 9*w^2 - 16*w + 6]', '[4861, 4861, -2*w^4 + 2*w^3 + 10*w^2 - 6*w - 5]', '[4861, 4861, -w^5 + w^4 + 6*w^3 - 2*w^2 - 9*w - 5]', '[4861, 4861, w^5 - w^4 - 8*w^3 + 4*w^2 + 13*w - 2]', '[4864, 76, -4*w^5 - 2*w^4 + 24*w^3 + 8*w^2 - 30*w]', '[4864, 76, -3*w^5 + 20*w^3 - w^2 - 29*w + 4]', '[4864, 304, w^5 + w^4 - 8*w^3 - 2*w^2 + 16*w - 3]', '[4889, 4889, -5*w^5 - w^4 + 33*w^3 + 4*w^2 - 50*w + 5]', '[4889, 4889, -w^5 - w^4 + 10*w^3 + 5*w^2 - 21*w - 3]', '[4909, 4909, -3*w^5 - w^4 + 17*w^3 + 5*w^2 - 21*w - 6]', '[4916, 2458, w^5 - 7*w^3 + 2*w^2 + 9*w - 6]', '[4916, 2458, -4*w^5 + w^4 + 25*w^3 - 3*w^2 - 36*w + 4]', '[4919, 4919, 5*w^5 + 2*w^4 - 32*w^3 - 10*w^2 + 48*w + 5]', '[4919, 4919, 2*w^5 - 14*w^3 + w^2 + 25*w - 6]', '[4924, 2462, w^5 - w^4 - 5*w^3 + 2*w^2 + 8*w + 2]', '[4931, 4931, -w^5 - w^4 + 6*w^3 + 2*w^2 - 7*w + 2]', '[4931, 4931, -3*w^5 + w^4 + 18*w^3 - 4*w^2 - 25*w + 2]', '[4931, 4931, -3*w^5 - w^4 + 17*w^3 + 5*w^2 - 19*w - 6]', '[4931, 4931, -w^5 - 3*w^4 + 9*w^3 + 12*w^2 - 19*w - 4]', '[4951, 4951, -3*w^5 - 3*w^4 + 20*w^3 + 15*w^2 - 31*w - 11]', '[4951, 4951, -3*w^5 - w^4 + 20*w^3 + 7*w^2 - 29*w - 9]', '[4951, 4951, -w^5 - w^4 + 6*w^3 + 7*w^2 - 5*w - 9]', '[4951, 4951, 4*w^5 + w^4 - 25*w^3 - 7*w^2 + 33*w + 6]', '[4961, 451, 6*w^5 - 36*w^3 - 4*w^2 + 51*w + 5]', '[4961, 451, -w^5 - w^4 + 10*w^3 + 4*w^2 - 20*w - 4]', '[4961, 4961, -w^5 + w^4 + 5*w^3 - 4*w^2 - 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31*w^3 - 8*w^2 + 44*w + 10]', '[5036, 2518, 5*w^5 - 32*w^3 - 2*w^2 + 49*w - 1]', '[5036, 2518, -4*w^5 - 2*w^4 + 27*w^3 + 10*w^2 - 40*w - 9]', '[5039, 5039, 4*w^5 + w^4 - 23*w^3 - 6*w^2 + 28*w + 5]', '[5039, 5039, -w^5 - 2*w^4 + 8*w^3 + 11*w^2 - 13*w - 9]', '[5041, 71, -4*w^5 + 25*w^3 - w^2 - 33*w + 3]', '[5041, 71, w^5 - 2*w^4 - 6*w^3 + 9*w^2 + 8*w - 7]', '[5041, 71, -2*w^5 + w^4 + 12*w^3 - 5*w^2 - 14*w + 8]', '[5041, 5041, -4*w^5 + w^4 + 25*w^3 - 5*w^2 - 34*w + 7]', '[5041, 5041, -w^5 + 3*w^3 + w^2 + w - 3]', '[5041, 5041, -4*w^5 - 2*w^4 + 26*w^3 + 10*w^2 - 40*w - 5]', '[5051, 5051, -6*w^5 - w^4 + 40*w^3 + 8*w^2 - 60*w - 7]', '[5051, 5051, 3*w^5 + w^4 - 20*w^3 - 5*w^2 + 33*w - 1]', '[5051, 5051, -w^4 - w^3 + 4*w^2 + 6*w - 3]', '[5056, 158, 2*w^5 + 2*w^4 - 14*w^3 - 10*w^2 + 20*w + 8]', '[5056, 158, -4*w^5 - 2*w^4 + 26*w^3 + 8*w^2 - 38*w - 4]', '[5056, 158, 4*w^5 + 2*w^4 - 26*w^3 - 10*w^2 + 40*w + 6]', '[5056, 632, -3*w^3 + 2*w^2 + 10*w - 5]', '[5056, 632, -4*w^5 - 2*w^4 + 29*w^3 + 8*w^2 - 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26*w^3 - 15*w^2 + 37*w + 12]', '[5149, 5149, -w^4 + w^3 + 3*w^2 - 5*w - 3]', '[5156, 2578, 2*w^5 + w^4 - 16*w^3 - 2*w^2 + 27*w - 4]', '[5164, 2582, 4*w^5 + 3*w^4 - 28*w^3 - 14*w^2 + 43*w + 10]', '[5164, 2582, 2*w^5 - w^4 - 12*w^3 + 4*w^2 + 19*w - 6]', '[5164, 2582, -2*w^5 + 2*w^4 + 10*w^3 - 7*w^2 - 11*w + 1]', '[5164, 2582, -w^5 + 4*w^3 - w^2 + 6]', '[5171, 5171, -2*w^5 + 14*w^3 + 2*w^2 - 23*w]', '[5179, 5179, -w^4 + 3*w^3 + 6*w^2 - 9*w - 6]', '[5179, 5179, 2*w^5 - w^4 - 13*w^3 + 6*w^2 + 17*w - 8]', '[5179, 5179, -4*w^5 - w^4 + 27*w^3 + 6*w^2 - 40*w - 5]', '[5189, 5189, -2*w^4 + 3*w^3 + 10*w^2 - 11*w - 8]', '[5191, 5191, -2*w^5 + 13*w^3 + 2*w^2 - 18*w - 8]', '[5191, 5191, 3*w^5 - w^4 - 23*w^3 + 6*w^2 + 43*w - 9]', '[5191, 5191, -2*w^5 + w^4 + 13*w^3 - 2*w^2 - 21*w - 6]', '[5191, 5191, -3*w^5 - w^4 + 19*w^3 + 7*w^2 - 30*w - 6]', '[5209, 5209, -3*w^5 - w^4 + 19*w^3 + 6*w^2 - 24*w - 5]', '[5209, 5209, -2*w^3 - w^2 + 4*w - 3]', '[5231, 5231, 5*w^5 - 30*w^3 - w^2 + 38*w - 1]', '[5231, 5231, w^5 - 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8*w - 3]', '[5309, 5309, -4*w^5 - 2*w^4 + 26*w^3 + 7*w^2 - 39*w + 2]', '[5309, 5309, -2*w^5 - w^4 + 14*w^3 + 3*w^2 - 25*w + 6]', '[5309, 5309, -4*w^5 + 26*w^3 + 2*w^2 - 37*w - 1]', '[5309, 5309, -2*w^5 + w^4 + 12*w^3 - 3*w^2 - 17*w - 3]', '[5324, 22, w^5 - 9*w^3 + 2*w^2 + 17*w - 4]', '[5324, 22, -2*w^5 + 15*w^3 - w^2 - 25*w + 2]', '[5324, 2662, 3*w^5 + 2*w^4 - 18*w^3 - 10*w^2 + 25*w + 7]', '[5329, 73, -3*w^5 - 3*w^4 + 21*w^3 + 13*w^2 - 33*w - 6]', '[5339, 5339, 2*w^5 - 3*w^4 - 12*w^3 + 16*w^2 + 16*w - 14]', '[5351, 5351, 2*w^4 - 3*w^3 - 10*w^2 + 9*w + 8]', '[5371, 5371, 3*w^5 - 20*w^3 + w^2 + 29*w - 5]', '[5371, 5371, 2*w^5 + w^4 - 14*w^3 - 5*w^2 + 20*w + 4]', '[5371, 5371, -w^5 + 7*w^3 - 14*w + 2]', '[5371, 5371, w^5 - 7*w^3 + w^2 + 9*w - 5]', '[5381, 5381, -5*w^5 - w^4 + 33*w^3 + 4*w^2 - 51*w + 4]', '[5381, 5381, w^3 + 3*w^2 - 4*w - 5]', '[5381, 5381, -w^5 + 7*w^3 + w^2 - 10*w - 6]', '[5396, 2698, 3*w^5 + 3*w^4 - 17*w^3 - 13*w^2 + 19*w + 5]', '[5396, 2698, -8*w^5 - 4*w^4 + 52*w^3 + 21*w^2 - 73*w - 9]', '[5396, 2698, 8*w^5 + w^4 - 49*w^3 - 7*w^2 + 64*w + 6]', '[5399, 5399, 2*w^5 + 3*w^4 - 15*w^3 - 14*w^2 + 25*w + 8]', '[5399, 5399, -8*w^5 - 4*w^4 + 54*w^3 + 18*w^2 - 83*w - 4]', '[5399, 5399, w^5 - 2*w^4 - 4*w^3 + 9*w^2 - 7]', '[5401, 5401, 3*w^5 + w^4 - 23*w^3 - 6*w^2 + 39*w + 2]', '[5401, 5401, -3*w^5 + w^4 + 20*w^3 - 2*w^2 - 29*w]', '[5419, 5419, -w^4 + 2*w^3 + 4*w^2 - 6*w + 3]', '[5429, 5429, -4*w^5 + 26*w^3 + 2*w^2 - 39*w]', '[5429, 5429, -4*w^5 - 2*w^4 + 28*w^3 + 9*w^2 - 46*w + 1]', '[5429, 5429, -w^5 + w^4 + 4*w^3 - 3*w^2 - w - 5]', '[5429, 5429, 2*w^5 - 14*w^3 + w^2 + 20*w - 5]', '[5429, 5429, -3*w^5 + 17*w^3 + 3*w^2 - 19*w - 5]', '[5429, 5429, -w^5 - w^4 + 6*w^3 + 2*w^2 - 9*w + 7]', '[5431, 5431, 4*w^5 + 2*w^4 - 29*w^3 - 8*w^2 + 49*w - 1]', '[5441, 5441, -5*w^5 - w^4 + 31*w^3 + 6*w^2 - 43*w - 7]', '[5444, 2722, 4*w^5 + w^4 - 28*w^3 - 6*w^2 + 45*w + 8]', '[5449, 5449, 4*w^5 - 25*w^3 - 3*w^2 + 35*w + 5]', '[5449, 5449, -3*w^5 + 19*w^3 + 3*w^2 - 25*w - 7]', '[5449, 5449, w^5 + 3*w^4 - 7*w^3 - 15*w^2 + 12*w + 13]', '[5449, 5449, 5*w^5 + w^4 - 32*w^3 - 4*w^2 + 48*w - 2]', '[5456, 682, w^5 - w^4 - 4*w^3 + 5*w^2 + 4*w - 3]', '[5456, 1364, 3*w^5 + w^4 - 18*w^3 - 6*w^2 + 26*w + 5]', '[5471, 5471, w^5 - 2*w^4 - 5*w^3 + 10*w^2 + 6*w - 9]', '[5471, 5471, w^5 + w^4 - 8*w^3 - w^2 + 15*w - 9]', '[5471, 5471, w^5 + 2*w^4 - 7*w^3 - 10*w^2 + 11*w + 3]', '[5471, 5471, -3*w^5 - 2*w^4 + 21*w^3 + 10*w^2 - 32*w - 8]', '[5479, 5479, 2*w^4 - 3*w^3 - 8*w^2 + 11*w + 4]', '[5479, 5479, 8*w^5 + w^4 - 50*w^3 - 7*w^2 + 71*w + 5]', '[5489, 5489, -7*w^5 - 2*w^4 + 46*w^3 + 12*w^2 - 68*w - 6]', '[5489, 5489, -5*w^5 - 3*w^4 + 30*w^3 + 12*w^2 - 43*w - 5]', '[5491, 323, 2*w^5 + w^4 - 13*w^3 - 6*w^2 + 15*w + 2]', '[5500, 110, -5*w^5 + 33*w^3 - 4*w^2 - 49*w + 16]', '[5501, 5501, 4*w^5 + 3*w^4 - 25*w^3 - 14*w^2 + 36*w + 7]', '[5519, 5519, -2*w^5 - 3*w^4 + 16*w^3 + 14*w^2 - 30*w - 6]', '[5519, 5519, -3*w^5 - 3*w^4 + 20*w^3 + 14*w^2 - 32*w - 6]', '[5521, 5521, 4*w^5 - 23*w^3 - w^2 + 29*w - 1]', '[5524, 2762, -2*w^5 + w^4 + 10*w^3 - 5*w^2 - 8*w + 5]', '[5524, 2762, -w^5 + 3*w^3 + 3*w^2 + 2*w - 7]', '[5524, 2762, 3*w^5 - 20*w^3 + 33*w - 1]', '[5531, 5531, 2*w^5 - 15*w^3 + w^2 + 24*w - 5]', '[5539, 5539, w^5 - w^4 - 8*w^3 + 8*w^2 + 17*w - 13]', '[5549, 5549, -4*w^5 - 2*w^4 + 30*w^3 + 10*w^2 - 55*w - 7]', '[5549, 5549, 4*w^5 - w^4 - 25*w^3 + 5*w^2 + 32*w + 1]', '[5549, 5549, 5*w^5 - 3*w^4 - 29*w^3 + 9*w^2 + 39*w + 2]', '[5549, 5549, w^5 - w^4 - 7*w^3 + 5*w^2 + 9*w - 2]', '[5569, 5569, 3*w^3 - 2*w^2 - 11*w + 8]', '[5569, 5569, -4*w^5 + 21*w^3 + 2*w^2 - 23*w - 3]', '[5569, 5569, -w^5 + 2*w^4 + 5*w^3 - 8*w^2 - 6*w + 2]', '[5569, 5569, 2*w^5 - 2*w^4 - 12*w^3 + 9*w^2 + 16*w - 7]', '[5581, 5581, -4*w^5 + 2*w^4 + 22*w^3 - 8*w^2 - 25*w + 2]', '[5584, 698, 2*w^5 + w^4 - 16*w^3 - 6*w^2 + 27*w + 1]', '[5584, 698, -3*w^5 + w^4 + 18*w^3 - 3*w^2 - 24*w + 3]', '[5584, 698, -3*w^5 - w^4 + 20*w^3 + 7*w^2 - 30*w - 5]', '[5584, 1396, 4*w^5 - 25*w^3 - 2*w^2 + 34*w + 1]', '[5584, 1396, -3*w^5 - 2*w^4 + 23*w^3 + 6*w^2 - 39*w + 4]', '[5584, 1396, -4*w^5 - 2*w^4 + 27*w^3 + 10*w^2 - 40*w - 7]', '[5591, 5591, w^5 + w^4 - 7*w^3 - 8*w^2 + 10*w + 9]', '[5596, 2798, -5*w^5 - 3*w^4 + 38*w^3 + 13*w^2 - 67*w - 6]', '[5599, 5599, -w^5 + 9*w^3 - w^2 - 21*w - 1]', '[5599, 5599, 4*w^5 - 28*w^3 + 45*w - 1]', '[5599, 5599, 6*w^5 + 2*w^4 - 37*w^3 - 11*w^2 + 51*w + 7]', '[5599, 5599, -5*w^5 - w^4 + 33*w^3 + 5*w^2 - 48*w - 2]', '[5609, 5609, -w^5 - w^4 + 4*w^3 + 5*w^2 - 6]', '[5609, 5609, 3*w^5 - 17*w^3 + w^2 + 21*w - 6]', '[5609, 5609, -w^5 + w^4 + 4*w^3 - 2*w^2 - w - 7]', '[5609, 5609, -3*w^5 - 2*w^4 + 21*w^3 + 11*w^2 - 33*w - 9]', '[5609, 5609, -w^5 + w^4 + 3*w^3 - 4*w^2 + 3*w + 3]', '[5609, 5609, 5*w^5 + w^4 - 30*w^3 - 5*w^2 + 40*w]', '[5609, 5609, -2*w^5 - 2*w^4 + 12*w^3 + 9*w^2 - 15*w - 8]', '[5609, 5609, 4*w^5 + w^4 - 29*w^3 - w^2 + 49*w - 8]', '[5609, 5609, -w^5 - w^4 + 5*w^3 + 3*w^2 - 3*w + 2]', '[5611, 5611, -2*w^5 + 15*w^3 + w^2 - 27*w + 1]', '[5611, 5611, -w^4 + 3*w^3 + 3*w^2 - 12*w + 1]', '[5636, 2818, -4*w^5 + w^4 + 24*w^3 - 3*w^2 - 34*w + 1]', '[5639, 5639, -2*w^5 + 13*w^3 + w^2 - 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19*w^3 + 2*w^2 + 28*w - 4]', '[5701, 5701, -w^3 + w^2 + 2*w - 7]', '[5711, 5711, 4*w^5 - 24*w^3 + w^2 + 32*w - 3]', '[5711, 5711, 2*w^5 - 13*w^3 + w^2 + 17*w - 7]', '[5711, 5711, 3*w^5 + 2*w^4 - 19*w^3 - 11*w^2 + 28*w + 8]', '[5711, 5711, -3*w^5 - w^4 + 18*w^3 + 6*w^2 - 26*w - 4]', '[5716, 2858, 3*w^5 - 19*w^3 - 2*w^2 + 29*w + 6]', '[5716, 2858, w^5 - 2*w^4 - 6*w^3 + 9*w^2 + 8*w - 6]', '[5716, 2858, 7*w^5 + 5*w^4 - 50*w^3 - 22*w^2 + 80*w + 13]', '[5741, 5741, 3*w^5 - 19*w^3 + w^2 + 29*w - 7]', '[5741, 5741, 4*w^5 + w^4 - 27*w^3 - 4*w^2 + 44*w - 3]', '[5744, 718, -5*w^5 - 4*w^4 + 30*w^3 + 19*w^2 - 39*w - 10]', '[5744, 718, 4*w^5 + 3*w^4 - 26*w^3 - 14*w^2 + 37*w + 1]', '[5744, 1436, -5*w^5 - 4*w^4 + 30*w^3 + 20*w^2 - 37*w - 13]', '[5744, 1436, 5*w^5 + 2*w^4 - 30*w^3 - 9*w^2 + 36*w]', '[5749, 5749, 3*w^5 + w^4 - 20*w^3 - 5*w^2 + 32*w - 2]', '[5756, 2878, 6*w^5 + w^4 - 37*w^3 - 5*w^2 + 50*w]', '[5764, 2882, -w^4 - w^3 + 7*w^2 + 6*w - 12]', '[5764, 2882, -w^5 - w^4 + 5*w^3 + 8*w^2 - 2*w - 16]', '[5771, 5771, -7*w^5 - 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65*w - 29]', '[6119, 6119, -2*w^5 + 2*w^4 + 15*w^3 - 9*w^2 - 28*w + 7]', '[6121, 6121, w^4 + w^3 - 3*w^2 - 5*w + 1]', '[6121, 6121, 2*w^5 + w^4 - 13*w^3 - 8*w^2 + 19*w + 10]', '[6121, 6121, -2*w^5 - w^4 + 10*w^3 + 5*w^2 - 9*w - 4]', '[6121, 6121, 3*w^5 + 2*w^4 - 20*w^3 - 10*w^2 + 33*w + 4]', '[6124, 3062, w^5 + 3*w^4 - 12*w^3 - 9*w^2 + 23*w]', '[6151, 6151, -2*w^5 - 3*w^4 + 15*w^3 + 12*w^2 - 26*w - 4]', '[6151, 6151, -3*w^5 + 19*w^3 - w^2 - 23*w + 3]', '[6161, 6161, w^3 + w^2 - 6*w - 3]', '[6161, 6161, -4*w^5 + 26*w^3 - w^2 - 37*w + 6]', '[6169, 6169, -w^5 - w^4 + 10*w^3 + 6*w^2 - 23*w - 4]', '[6169, 6169, 10*w^5 + 3*w^4 - 68*w^3 - 14*w^2 + 108*w + 4]', '[6169, 6169, -5*w^5 - w^4 + 34*w^3 + 4*w^2 - 51*w - 2]', '[6169, 6169, -w^5 + 5*w^3 - w^2 - 2*w + 4]', '[6191, 6191, 4*w^5 - 26*w^3 - 3*w^2 + 39*w + 8]', '[6191, 6191, -4*w^5 - w^4 + 27*w^3 + 3*w^2 - 41*w + 1]', '[6191, 6191, -6*w^5 + w^4 + 39*w^3 - 3*w^2 - 60*w + 3]', '[6191, 6191, -4*w^5 - 3*w^4 + 27*w^3 + 16*w^2 - 42*w - 15]', '[6191, 6191, 2*w^5 - w^4 - 14*w^3 + 5*w^2 + 24*w - 8]', '[6191, 6191, 7*w^5 + w^4 - 48*w^3 - w^2 + 76*w - 12]', '[6191, 6191, 4*w^5 - w^4 - 27*w^3 + w^2 + 45*w + 7]', '[6191, 6191, -10*w^5 - 5*w^4 + 66*w^3 + 25*w^2 - 98*w - 16]', '[6196, 3098, 4*w^5 - 28*w^3 + 3*w^2 + 47*w - 9]', '[6196, 3098, -6*w^5 - w^4 + 39*w^3 + 9*w^2 - 58*w - 10]', '[6211, 6211, -w^5 + 6*w^3 - 2*w^2 - 10*w + 1]', '[6211, 6211, 4*w^5 - 2*w^4 - 24*w^3 + 10*w^2 + 33*w - 11]', '[6211, 6211, 2*w^5 + 2*w^4 - 12*w^3 - 9*w^2 + 14*w + 7]', '[6221, 6221, -3*w^5 - w^4 + 19*w^3 + 3*w^2 - 29*w + 6]', '[6221, 6221, -w^4 + 2*w^3 + 2*w^2 - 8*w + 2]', '[6224, 778, w^5 + 4*w^4 - 8*w^3 - 17*w^2 + 19*w + 6]', '[6224, 1556, 2*w^5 - 10*w^3 - w^2 + 7*w + 7]', '[6229, 6229, -w^5 - 2*w^4 + 11*w^3 + 8*w^2 - 28*w - 1]', '[6229, 6229, 5*w^5 + w^4 - 32*w^3 - 5*w^2 + 44*w]', '[6236, 3118, 3*w^5 + 2*w^4 - 19*w^3 - 11*w^2 + 28*w + 9]', '[6236, 3118, 4*w^5 + 3*w^4 - 30*w^3 - 13*w^2 + 50*w + 7]', '[6241, 79, -3*w^5 - w^4 + 22*w^3 + 5*w^2 - 36*w]', '[6241, 79, 2*w^5 - 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13*w - 8]', '[6299, 6299, -w^5 - w^4 + 5*w^3 + 4*w^2 - 5*w + 2]', '[6299, 6299, 4*w^5 + w^4 - 26*w^3 - 4*w^2 + 36*w - 2]', '[6299, 6299, 3*w^5 + 2*w^4 - 22*w^3 - 8*w^2 + 36*w]', '[6301, 6301, 5*w^5 + 2*w^4 - 31*w^3 - 11*w^2 + 43*w + 9]', '[6301, 6301, -2*w^5 - w^4 + 15*w^3 + 3*w^2 - 28*w + 9]', '[6301, 6301, -3*w^5 + 21*w^3 - 32*w + 4]', '[6301, 6301, 2*w^5 + w^4 - 16*w^3 + 30*w - 13]', '[6311, 6311, -w^4 - w^3 + 7*w^2 + 5*w - 7]', '[6311, 6311, 4*w^5 + 3*w^4 - 27*w^3 - 15*w^2 + 43*w + 8]', '[6311, 6311, -2*w^4 + w^3 + 9*w^2 - w - 5]', '[6316, 3158, -3*w^5 - 2*w^4 + 21*w^3 + 11*w^2 - 36*w - 11]', '[6319, 6319, w^5 - 5*w^3 + 2*w^2 + 3*w - 7]', '[6319, 6319, -w^5 - 2*w^4 + 8*w^3 + 6*w^2 - 14*w + 3]', '[6319, 6319, 4*w^5 + 4*w^4 - 25*w^3 - 19*w^2 + 34*w + 11]', '[6319, 6319, 4*w^5 + 2*w^4 - 24*w^3 - 9*w^2 + 28*w + 7]', '[6319, 6319, -3*w^5 + 19*w^3 - 24*w + 2]', '[6319, 6319, 3*w^5 + w^4 - 22*w^3 - 6*w^2 + 35*w + 1]', '[6319, 6319, -2*w^5 + w^4 + 11*w^3 - 4*w^2 - 12*w + 6]', '[6319, 6319, -3*w^5 - 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33*w^3 - 6*w^2 + 51*w + 1]', '[8356, 4178, -6*w^5 - w^4 + 38*w^3 + 8*w^2 - 57*w - 8]', '[8356, 4178, -6*w^5 + 41*w^3 - w^2 - 67*w + 6]', '[8356, 4178, -3*w^5 - w^4 + 23*w^3 + 3*w^2 - 41*w + 3]', '[8356, 4178, -3*w^5 + 2*w^4 + 17*w^3 - 3*w^2 - 24*w - 7]', '[8371, 8371, 6*w^5 + w^4 - 40*w^3 - 3*w^2 + 61*w - 4]', '[8371, 8371, 4*w^5 + w^4 - 23*w^3 - 5*w^2 + 31*w + 5]', '[8381, 493, -5*w^5 - 2*w^4 + 33*w^3 + 8*w^2 - 48*w - 2]', '[8384, 262, -2*w^4 + 10*w^2 - 2*w - 6]', '[8384, 262, -2*w^5 - 2*w^4 + 12*w^3 + 10*w^2 - 18*w - 6]', '[8384, 1048, w^5 + 3*w^4 - 10*w^3 - 14*w^2 + 22*w + 7]', '[8384, 1048, -w^5 + 2*w^4 + 4*w^3 - 9*w^2 - 2*w + 4]', '[8389, 8389, -w^5 + 3*w^3 + w^2 + 2*w - 2]', '[8396, 4198, w^5 - 6*w^3 + 2*w^2 + 9*w - 1]', '[8401, 8401, -w^5 + 3*w^3 + 2*w^2 + 2*w - 4]', '[8404, 4202, -w^5 + 2*w^4 + 9*w^3 - 13*w^2 - 20*w + 21]', '[8419, 8419, -4*w^5 - 4*w^4 + 30*w^3 + 17*w^2 - 54*w - 5]', '[8419, 8419, -2*w^5 + w^4 + 13*w^3 - 2*w^2 - 19*w - 4]', '[8419, 8419, 2*w^5 - w^4 - 14*w^3 + 2*w^2 + 18*w]', '[8429, 8429, -5*w^5 - 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5]', '[8516, 4258, w^5 - 2*w^4 - 7*w^3 + 8*w^2 + 11*w - 2]', '[8521, 8521, w^5 + w^4 - 7*w^3 - w^2 + 12*w - 8]', '[8521, 8521, -3*w^5 - 3*w^4 + 23*w^3 + 11*w^2 - 40*w - 1]', '[8521, 8521, -3*w^5 + 18*w^3 + 3*w^2 - 23*w - 7]', '[8521, 8521, 2*w^4 - w^3 - 9*w^2 + 2*w + 2]', '[8524, 4262, -2*w^5 - w^4 + 15*w^3 + 2*w^2 - 27*w + 3]', '[8524, 4262, -3*w^5 - 2*w^4 + 22*w^3 + 6*w^2 - 35*w + 1]', '[8539, 8539, -4*w^5 + w^4 + 25*w^3 - 3*w^2 - 35*w + 2]', '[8539, 8539, 6*w^5 - 39*w^3 + 2*w^2 + 57*w - 9]', '[8564, 4282, 5*w^5 + 2*w^4 - 35*w^3 - 9*w^2 + 54*w + 3]', '[8569, 8569, -2*w^4 + 2*w^3 + 6*w^2 - 6*w + 3]', '[8569, 8569, -w^5 + 7*w^3 - w^2 - 14*w + 4]', '[8581, 8581, 2*w^5 - 2*w^4 - 10*w^3 + 6*w^2 + 6*w + 3]', '[8581, 8581, 3*w^5 + 4*w^4 - 22*w^3 - 16*w^2 + 39*w]', '[8581, 8581, 7*w^5 + 2*w^4 - 45*w^3 - 11*w^2 + 65*w + 10]', '[8581, 8581, 7*w^5 + w^4 - 44*w^3 - 5*w^2 + 60*w + 4]', '[8591, 781, 2*w^5 + 3*w^4 - 14*w^3 - 14*w^2 + 24*w + 9]', '[8591, 781, 5*w^5 + w^4 - 31*w^3 - 7*w^2 + 41*w + 6]', '[8591, 781, -3*w^5 + 20*w^3 - 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31*w - 9]', '[8669, 8669, 8*w^5 + 2*w^4 - 51*w^3 - 10*w^2 + 74*w]', '[8669, 8669, -w^5 - w^4 + 8*w^3 + 6*w^2 - 17*w - 7]', '[8669, 8669, 2*w^5 + 3*w^4 - 14*w^3 - 15*w^2 + 23*w + 15]', '[8669, 8669, -w^5 + w^4 + 8*w^3 - 3*w^2 - 15*w + 3]', '[8681, 8681, 3*w^5 + 2*w^4 - 21*w^3 - 11*w^2 + 32*w + 8]', '[8681, 8681, w^5 - w^4 - 8*w^3 + 6*w^2 + 13*w - 7]', '[8681, 8681, 5*w^5 + w^4 - 33*w^3 - 5*w^2 + 50*w - 2]', '[8689, 8689, -3*w^5 + w^4 + 19*w^3 - 4*w^2 - 26*w + 5]', '[8699, 8699, -w^5 + w^4 + 6*w^3 - 2*w^2 - 3*w - 2]', '[8699, 8699, 4*w^5 - 23*w^3 - 2*w^2 + 29*w + 4]', '[8711, 8711, -6*w^5 - 4*w^4 + 42*w^3 + 19*w^2 - 70*w - 9]', '[8716, 4358, -w^5 - w^4 + 9*w^3 + 6*w^2 - 18*w - 8]', '[8719, 8719, -2*w^5 - 2*w^4 + 15*w^3 + 9*w^2 - 28*w - 6]', '[8719, 8719, 7*w^5 + 3*w^4 - 45*w^3 - 13*w^2 + 68*w + 4]', '[8719, 8719, 4*w^5 + 3*w^4 - 27*w^3 - 15*w^2 + 42*w + 11]', '[8731, 8731, -w^4 + 3*w^3 + 2*w^2 - 12*w + 5]', '[8731, 8731, 3*w^5 + 3*w^4 - 18*w^3 - 13*w^2 + 25*w + 3]', '[8731, 8731, -w^4 + w^3 + 6*w^2 - 6*w - 6]', '[8741, 8741, 4*w^5 + w^4 - 26*w^3 - 3*w^2 + 38*w - 2]', '[8741, 8741, -2*w^5 - w^4 + 17*w^3 + 4*w^2 - 34*w - 1]', '[8741, 8741, -w^5 - 2*w^4 + 5*w^3 + 6*w^2 - 6*w + 2]', '[8741, 8741, 5*w^5 - 33*w^3 + 48*w - 7]', '[8741, 8741, 2*w^5 + 2*w^4 - 15*w^3 - 9*w^2 + 27*w + 7]', '[8741, 8741, w^5 + 2*w^4 - 8*w^3 - 10*w^2 + 16*w + 10]', '[8756, 4378, -w^5 + w^4 + 10*w^3 - 7*w^2 - 23*w + 14]', '[8756, 4378, 5*w^5 + 5*w^4 - 33*w^3 - 30*w^2 + 50*w + 36]', '[8756, 4378, -3*w^5 - w^4 + 18*w^3 + 9*w^2 - 23*w - 16]', '[8756, 4378, 7*w^5 + w^4 - 46*w^3 - 6*w^2 + 68*w + 1]', '[8759, 8759, w^5 + w^4 - 3*w^3 - 8*w^2 - 3*w + 11]', '[8759, 8759, -2*w^5 - 4*w^4 + 14*w^3 + 23*w^2 - 22*w - 26]', '[8761, 8761, w^4 - w^3 - 4*w^2 + 2*w - 3]', '[8779, 8779, 2*w^5 - 13*w^3 + w^2 + 22*w - 3]', '[8791, 8791, 2*w^5 + w^4 - 16*w^3 - 3*w^2 + 28*w - 4]', '[8804, 4402, 4*w^5 - w^4 - 26*w^3 + 2*w^2 + 39*w + 6]', '[8804, 4402, -8*w^5 - w^4 + 53*w^3 + 5*w^2 - 80*w + 4]', '[8804, 4402, 3*w^5 + w^4 - 17*w^3 - 2*w^2 + 20*w - 8]', '[8816, 1102, -2*w^5 - w^4 + 12*w^3 + 2*w^2 - 15*w + 3]', '[8816, 2204, 3*w^5 - w^4 - 18*w^3 + 3*w^2 + 23*w - 2]', '[8819, 8819, -w^5 - 3*w^4 + 8*w^3 + 14*w^2 - 15*w - 10]', '[8821, 8821, -4*w^5 - 2*w^4 + 26*w^3 + 7*w^2 - 38*w]', '[8821, 8821, -3*w^5 + 20*w^3 - w^2 - 31*w + 1]', '[8831, 8831, -8*w^5 - 2*w^4 + 50*w^3 + 12*w^2 - 69*w - 7]', '[8831, 8831, 2*w^5 + 2*w^4 - 13*w^3 - 12*w^2 + 19*w + 10]', '[8831, 8831, 3*w^5 - 2*w^4 - 18*w^3 + 6*w^2 + 24*w + 1]', '[8831, 8831, -4*w^5 - 3*w^4 + 28*w^3 + 13*w^2 - 45*w - 6]', '[8836, 94, -4*w^3 + w^2 + 13*w - 1]', '[8839, 8839, 3*w^5 - 19*w^3 - 3*w^2 + 28*w + 10]', '[8839, 8839, -4*w^5 + w^4 + 24*w^3 - 32*w - 7]', '[8839, 8839, -5*w^5 - 2*w^4 + 28*w^3 + 8*w^2 - 34*w - 5]', '[8839, 8839, w^5 + 2*w^4 - 11*w^3 - 10*w^2 + 25*w - 1]', '[8849, 8849, 5*w^5 + 4*w^4 - 33*w^3 - 18*w^2 + 51*w + 7]', '[8849, 8849, w^4 - w^3 - 4*w^2 + w - 2]', '[8849, 8849, -4*w^5 - 3*w^4 + 26*w^3 + 12*w^2 - 40*w - 6]', '[8849, 8849, w^4 - 4*w^2 + 2*w - 3]', '[8861, 8861, -4*w^5 - w^4 + 26*w^3 + 5*w^2 - 41*w]', '[8875, 355, 2*w^4 - 4*w^3 - 7*w^2 + 13*w + 4]', '[8875, 355, -4*w^5 - 4*w^4 + 29*w^3 + 18*w^2 - 49*w - 7]', '[8875, 355, 4*w^5 + w^4 - 26*w^3 - 6*w^2 + 36*w + 5]', '[8884, 4442, 4*w^5 - 2*w^4 - 25*w^3 + 9*w^2 + 35*w - 8]', '[8896, 278, -2*w^4 - 2*w^3 + 10*w^2 + 10*w - 8]', '[8896, 1112, 11*w^5 + 3*w^4 - 71*w^3 - 18*w^2 + 104*w + 16]', '[8909, 8909, 4*w^5 + 2*w^4 - 27*w^3 - 11*w^2 + 42*w + 5]', '[8909, 8909, 4*w^5 + 3*w^4 - 26*w^3 - 11*w^2 + 41*w - 1]', '[8909, 8909, w^5 - 9*w^3 + 2*w^2 + 20*w - 6]', '[8909, 8909, 3*w^5 - w^4 - 19*w^3 + 3*w^2 + 26*w - 2]', '[8921, 8921, -6*w^5 - 2*w^4 + 41*w^3 + 12*w^2 - 62*w - 4]', '[8929, 8929, 2*w^5 - 13*w^3 - 5*w^2 + 18*w + 9]', '[8929, 8929, -w^5 - w^4 + 5*w^3 + 5*w^2 - 2*w - 7]', '[8929, 8929, -w^4 - w^3 + 5*w^2 + 6*w - 9]', '[8941, 8941, -3*w^5 - 2*w^4 + 21*w^3 + 6*w^2 - 33*w + 1]', '[8941, 8941, -2*w^5 + 12*w^3 + 4*w^2 - 15*w - 14]', '[8941, 8941, -w^5 + w^4 + 6*w^3 - w^2 - 6*w - 10]', '[8941, 8941, 2*w^5 + 2*w^4 - 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2*w^2 + 12*w + 6]', '[1031, 1031, 2*w^5 - 14*w^3 + w^2 + 23*w - 2]', '[1039, 1039, w^4 - 2*w^3 - 5*w^2 + 7*w + 5]', '[1039, 1039, 2*w^5 - w^4 - 11*w^3 + 5*w^2 + 13*w - 5]', '[1039, 1039, -w^5 - w^4 + 7*w^3 + 6*w^2 - 13*w - 6]', '[1039, 1039, 4*w^5 + w^4 - 23*w^3 - 5*w^2 + 28*w + 3]', '[1049, 1049, -w^5 + w^4 + 6*w^3 - 6*w^2 - 9*w + 6]', '[1049, 1049, -3*w^5 + 19*w^3 + w^2 - 25*w + 2]', '[1051, 1051, w^5 + w^4 - 7*w^3 - 2*w^2 + 12*w - 5]', '[1069, 1069, w^5 + 2*w^4 - 7*w^3 - 9*w^2 + 12*w + 6]', '[1091, 1091, -4*w^5 + w^4 + 24*w^3 - 4*w^2 - 30*w + 2]', '[1109, 1109, w^5 + w^4 - 5*w^3 - 5*w^2 + 6*w + 3]', '[1129, 1129, -3*w^5 + 19*w^3 + 2*w^2 - 26*w - 3]', '[1129, 1129, -2*w^5 - w^4 + 14*w^3 + 2*w^2 - 22*w + 2]', '[1129, 1129, 2*w^5 - 11*w^3 - 2*w^2 + 11*w + 3]', '[1129, 1129, -4*w^5 - 2*w^4 + 25*w^3 + 11*w^2 - 35*w - 11]', '[1151, 1151, 2*w^5 + w^4 - 14*w^3 - 5*w^2 + 21*w + 4]', '[1181, 1181, w^5 - 7*w^3 + w^2 + 12*w]', '[1201, 1201, w^5 + 2*w^4 - 6*w^3 - 9*w^2 + 8*w + 5]', '[1229, 1229, w^5 + 2*w^4 - 8*w^3 - 10*w^2 + 14*w + 6]', '[1229, 1229, 2*w^5 + w^4 - 13*w^3 - 5*w^2 + 17*w + 4]', '[1231, 1231, -2*w^5 - 2*w^4 + 15*w^3 + 9*w^2 - 25*w - 3]', '[1249, 1249, -2*w^5 - 2*w^4 + 14*w^3 + 10*w^2 - 21*w - 7]', '[1249, 1249, -w^5 - w^4 + 7*w^3 + 7*w^2 - 11*w - 8]', '[1259, 1259, w^3 + w^2 - 3*w - 5]', '[1259, 1259, -w^5 - w^4 + 9*w^3 + 3*w^2 - 19*w + 2]', '[1259, 1259, -w^4 + w^3 + 3*w^2 - 3*w + 4]', '[1279, 1279, -5*w^5 - 2*w^4 + 35*w^3 + 9*w^2 - 57*w - 2]', '[1279, 1279, 3*w^5 + 2*w^4 - 20*w^3 - 9*w^2 + 31*w + 5]', '[1289, 1289, -w^5 + w^4 + 5*w^3 - 5*w^2 - 6*w + 4]', '[1291, 1291, w^5 + w^4 - 7*w^3 - 3*w^2 + 10*w - 4]', '[1291, 1291, -w^5 - w^4 + 9*w^3 + 3*w^2 - 18*w + 4]', '[1291, 1291, 2*w^5 - 13*w^3 + 17*w]', '[1291, 1291, -5*w^5 - 3*w^4 + 32*w^3 + 15*w^2 - 46*w - 8]', '[1321, 1321, w^4 - w^3 - 4*w^2 + 2*w - 1]', '[1321, 1321, 2*w^5 - 2*w^4 - 12*w^3 + 8*w^2 + 14*w - 3]', '[1321, 1321, 3*w^5 - 19*w^3 - 2*w^2 + 26*w + 4]', '[1321, 1321, -2*w^5 - w^4 + 12*w^3 + 3*w^2 - 15*w + 1]', '[1331, 11, -3*w^5 + 18*w^3 - 24*w + 1]', '[1361, 1361, -4*w^5 - w^4 + 25*w^3 + 6*w^2 - 35*w - 6]', '[1381, 1381, -2*w^5 - 3*w^4 + 14*w^3 + 14*w^2 - 24*w - 6]', '[1381, 1381, -3*w^5 - w^4 + 19*w^3 + 4*w^2 - 28*w + 3]', '[1381, 1381, 2*w^5 + w^4 - 12*w^3 - 3*w^2 + 15*w - 3]', '[1399, 1399, 4*w^5 + 2*w^4 - 27*w^3 - 10*w^2 + 44*w + 4]', '[1409, 1409, 2*w^5 - 14*w^3 + 21*w - 1]', '[1429, 1429, -3*w^5 - w^4 + 20*w^3 + 6*w^2 - 29*w - 5]', '[1429, 1429, -3*w^5 + 18*w^3 - w^2 - 23*w + 3]', '[1429, 1429, w^4 - 2*w^2 - 2*w - 5]', '[1439, 1439, 3*w^5 + 3*w^4 - 19*w^3 - 14*w^2 + 27*w + 5]', '[1451, 1451, w^5 + 2*w^4 - 10*w^3 - 6*w^2 + 22*w - 4]', '[1459, 1459, -w^5 + w^4 + 7*w^3 - 5*w^2 - 10*w + 4]', '[1471, 1471, -w^5 - 2*w^4 + 9*w^3 + 9*w^2 - 17*w - 6]', '[1481, 1481, 2*w^5 + w^4 - 14*w^3 - 5*w^2 + 21*w + 5]', '[1489, 1489, 3*w^5 - w^4 - 17*w^3 + 3*w^2 + 22*w - 2]', '[1499, 1499, -2*w^4 + w^3 + 8*w^2 - 3*w - 4]', '[1511, 1511, 3*w^5 - 18*w^3 - 2*w^2 + 23*w + 4]', '[1511, 1511, w^5 + 2*w^4 - 8*w^3 - 10*w^2 + 14*w + 8]', '[1511, 1511, w^5 + 2*w^4 - 10*w^3 - 7*w^2 + 22*w - 3]', '[1511, 1511, 5*w^5 + w^4 - 29*w^3 - 5*w^2 + 34*w + 4]', '[1531, 1531, 2*w^4 - 3*w^3 - 8*w^2 + 8*w + 2]', '[1549, 1549, -4*w^5 + 27*w^3 - 41*w + 6]', '[1549, 1549, w^5 + w^4 - 7*w^3 - 4*w^2 + 13*w + 5]', '[1559, 1559, 2*w^5 - 11*w^3 + w^2 + 12*w - 4]', '[1559, 1559, -w^5 + 6*w^3 + w^2 - 10*w - 3]', '[1571, 1571, w^3 + 2*w^2 - 4*w - 6]', '[1579, 1579, 2*w^5 + 2*w^4 - 15*w^3 - 11*w^2 + 26*w + 8]', '[1601, 1601, -w^5 + 8*w^3 - 2*w^2 - 16*w + 3]', '[1601, 1601, 3*w^5 + 2*w^4 - 19*w^3 - 7*w^2 + 27*w - 2]', '[1609, 1609, -5*w^5 - 2*w^4 + 32*w^3 + 10*w^2 - 47*w - 2]', '[1619, 1619, 4*w^5 + 3*w^4 - 25*w^3 - 14*w^2 + 35*w + 8]', '[1619, 1619, -2*w^5 + 13*w^3 - 17*w + 1]', '[1621, 1621, -5*w^5 - 3*w^4 + 34*w^3 + 15*w^2 - 53*w - 7]', '[1621, 1621, 4*w^5 + 2*w^4 - 26*w^3 - 7*w^2 + 38*w - 5]', '[1669, 1669, w^5 + w^4 - 9*w^3 - 4*w^2 + 17*w - 1]', '[1681, 41, 4*w^5 - 24*w^3 - 2*w^2 + 33*w + 5]', '[1681, 41, 2*w^4 - 2*w^3 - 9*w^2 + 6*w + 4]', '[1699, 1699, -3*w^5 - 2*w^4 + 18*w^3 + 10*w^2 - 24*w - 3]', '[1699, 1699, -2*w^5 + w^4 + 13*w^3 - 3*w^2 - 19*w + 4]', '[1699, 1699, 4*w^5 - w^4 - 23*w^3 + 3*w^2 + 28*w - 1]', '[1699, 1699, 2*w^4 - w^3 - 8*w^2 + 3*w + 2]', '[1709, 1709, -4*w^5 - 2*w^4 + 26*w^3 + 11*w^2 - 38*w - 7]', '[1709, 1709, 3*w^5 - 17*w^3 + w^2 + 20*w - 4]', '[1721, 1721, 2*w^5 + 2*w^4 - 14*w^3 - 9*w^2 + 22*w - 1]', '[1721, 1721, -2*w^5 + w^4 + 12*w^3 - 5*w^2 - 17*w + 5]', '[1721, 1721, w^5 - w^4 - 7*w^3 + 7*w^2 + 10*w - 12]', '[1721, 1721, -2*w^5 - w^4 + 16*w^3 + 4*w^2 - 30*w + 4]', '[1741, 1741, -2*w^5 + w^4 + 12*w^3 - 3*w^2 - 15*w + 1]', '[1741, 1741, 3*w^5 + 2*w^4 - 19*w^3 - 10*w^2 + 26*w + 8]', '[1759, 1759, 3*w^5 + w^4 - 19*w^3 - 6*w^2 + 25*w + 5]', '[1789, 1789, w^4 + w^3 - 4*w^2 - 5*w + 2]', '[1789, 1789, w^5 - 3*w^3 - 3*w + 3]', '[1789, 1789, -3*w^5 - w^4 + 19*w^3 + 7*w^2 - 26*w - 8]', '[1789, 1789, 2*w^5 - 13*w^3 + w^2 + 20*w - 1]', '[1801, 1801, 6*w^5 + 2*w^4 - 39*w^3 - 9*w^2 + 56*w + 3]', '[1811, 1811, 2*w^5 + w^4 - 15*w^3 - 4*w^2 + 26*w - 3]', '[1811, 1811, -4*w^5 - w^4 + 26*w^3 + 5*w^2 - 37*w - 5]', '[1811, 1811, -4*w^5 + w^4 + 23*w^3 - 3*w^2 - 27*w]', '[1831, 1831, 5*w^5 + w^4 - 30*w^3 - 4*w^2 + 39*w]', '[1831, 1831, 2*w^5 - 12*w^3 - w^2 + 16*w + 6]', '[1831, 1831, 2*w^5 + 2*w^4 - 14*w^3 - 12*w^2 + 22*w + 13]', '[1831, 1831, w^5 - 7*w^3 + 11*w + 3]', '[1871, 1871, 3*w^5 + w^4 - 21*w^3 - 3*w^2 + 32*w - 1]', '[1871, 1871, 3*w^5 + w^4 - 17*w^3 - 7*w^2 + 22*w + 8]', '[1871, 1871, w - 4]', '[1879, 1879, -3*w^5 - 2*w^4 + 21*w^3 + 9*w^2 - 32*w - 6]', '[1901, 1901, 3*w^5 + 2*w^4 - 20*w^3 - 7*w^2 + 31*w - 5]', '[1931, 1931, -4*w^5 - 3*w^4 + 27*w^3 + 15*w^2 - 41*w - 10]', '[1931, 1931, -3*w^5 - w^4 + 19*w^3 + 7*w^2 - 26*w - 7]', '[1949, 1949, -2*w^5 - 3*w^4 + 13*w^3 + 13*w^2 - 19*w - 8]', '[1949, 1949, -5*w^5 - 2*w^4 + 33*w^3 + 8*w^2 - 50*w - 2]', '[1949, 1949, -4*w^5 - 2*w^4 + 28*w^3 + 11*w^2 - 45*w - 6]', '[1951, 1951, 5*w^5 + w^4 - 31*w^3 - 3*w^2 + 42*w - 5]', '[1951, 1951, 3*w^5 + 2*w^4 - 21*w^3 - 11*w^2 + 35*w + 8]', '[1979, 1979, 5*w^5 + w^4 - 31*w^3 - 3*w^2 + 43*w - 6]', '[1979, 1979, -5*w^5 - w^4 + 31*w^3 + 7*w^2 - 42*w - 9]', '[1999, 1999, -3*w^5 - w^4 + 21*w^3 + 4*w^2 - 33*w + 2]', '[1999, 1999, 3*w^5 + 2*w^4 - 17*w^3 - 10*w^2 + 20*w + 7]', '[1999, 1999, w^5 + w^4 - 9*w^3 - 5*w^2 + 19*w + 6]']}
• nf_fields •

  Column	Type
  class_group	jsonb
  class_number	numeric
  cm	boolean
  coeffs	numeric[]
  conductor	numeric
  degree	smallint
  disc_abs	numeric
  disc_rad	numeric
  disc_sign	smallint
  embeddings_gen_imag	double precision[]
  embeddings_gen_real	double precision[]
  gal_is_abelian	boolean
  gal_is_cyclic	boolean
  gal_is_solvable	boolean
  galois_disc_exponents	numeric[]
  galois_label	text
  galt	integer
  grd	double precision
  index	integer
  inessentialp	integer[]
  is_galois	boolean
  is_minimal_sibling	boolean
  iso_number	smallint
  label	text
  local_algs	text[]
  minimal_sibling	numeric[]
  monogenic	smallint
  num_ram	smallint
  r2	smallint
  ramps	numeric[]
  rd	double precision
  regulator	numeric
  subfield_mults	integer[]
  subfields	text[]
  torsion_order	smallint
  used_grh	boolean
  dirichlet_group	bigint[]
  frobs	jsonb
  res	jsonb
  source	text
  subfield_inclusions	smallint[]
  torsion_gen	text
  units	jsonb
  unitsGmodule	jsonb
  unitsType	text
  zk	jsonb

  
  {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, -12, 12, 7, -7, -1, 1], 'conductor': 0, 'degree': 6, 'dirichlet_group': [], 'disc_abs': 1312625, 'disc_rad': 52505, 'disc_sign': 1, 'frobs': [[2, [[4, 1], [2, 1]]], [3, [[6, 1]]], [5, [0]], [7, [[6, 1]]], [11, [[3, 1], [2, 1], [1, 1]]], [13, [[6, 1]]], [17, [[4, 1], [2, 1]]], [19, [[3, 1], [2, 1], [1, 1]]], [23, [[6, 1]]], [29, [[3, 1], [2, 1], [1, 1]]], [31, [[3, 1], [2, 1], [1, 1]]], [37, [[6, 1]]], [41, [[2, 2], [1, 2]]], [43, [[6, 1]]], [47, [[4, 1], [2, 1]]], [53, [[2, 3]]], [59, [[3, 1], [2, 1], [1, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [36, 36], 'galois_label': '6T13', 'galt': 13, 'grd': 229.13969538253298, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '6.6.1312625.1', 'local_algs': ['5.6.3.1', 'm10501.1.1.0', 'm10501.2.1.1', 'm10501.1.3.0'], 'monogenic': 1, 'num_ram': 2, 'r2': 0, 'ramps': [5, 10501], 'rd': 10.4638164259, 'regulator': {'__RealLiteral__': 0, 'data': '9.40484434468', 'prec': 44}, 'res': {'sex': ['-2535,-494,657,71,-51,-2,1'], 'sib': ['-1,-2,24,1,-144,112,197,-226,-26,83,-16,-4,1', '-1,-52,813,-3908,6419,3879,-21041,8731,21409,-14655,-8721,7815,1249,-1835,51,186,-23,-6,1', '-2535,-494,657,71,-51,-2,1', '-5355167,-10079649,15335778,22820268,-16531452,-18829900,9355407,7472104,-2993183,-1560382,541952,178229,-55522,-11005,3140,339,-90,-4,1', '-5385035294,17057962211,8824325341,-44108887285,32547305309,-4162448838,-4393599500,1554996697,145828018,-132302621,5462645,5371100,-529134,-116444,15370,1305,-201,-6,1', '153738131,29773593,-49121549,-6780869,5876959,574888,-345121,-22753,10624,424,-164,-3,1', '2,43,-5,-141,9,94,-1,-19,0,1', '2787105928084,-18671026562,-180585186391,-287119911,4444288493,21920690,-53229929,-283829,324184,1300,-937,-2,1', '28125,0,-402400,0,262510,0,-55691,0,4431,0,-119,0,1', '3339100,685700,-2690335,-438215,723574,78559,-82328,-5806,4443,184,-111,-2,1', '7776999,2597481,-4448013,-1328579,968314,241803,-103620,-19461,5638,657,-139,-6,1', '-1499590489,-23229501115,109881862676,146687595633,-973459853782,-25793427476,3346403657677,-1374080850224,-5951000733887,3816479619074,6191966260987,-5040799210124,-4002965753343,3984259670025,1642118165197,-2061169985998,-414000066870,732056911955,51872267309,-183520388920,2760157008,32968243194,-2468695651,-4266063059,505072407,395859627,-59876764,-25929022,4590158,1161499,-230086,-33566,7258,558,-130,-4,1', '224838225,1903873875,2121136090,-12935912715,-12221420956,40275081082,1636852544,-34939437111,4704210373,14148326497,-2601781786,-3185928031,619846952,430041134,-82568665,-35770015,6653897,1826347,-328991,-55146,9657,896,-153,-6,1', '3236175495698531,-3180597194169397,-8589977034660501,309828734486760,3507924104222930,162297746755697,-679368724332340,-44946728789681,78604898296894,5354147000255,-5974026651152,-375054864528,311788433474,16867863564,-11369722834,-499563573,288893387,9633661,-4995944,-115048,55753,756,-359,-2,1', '40784,243744,-2026240,-10563596,36910051,161314321,-300480114,-1162539982,1240342227,4439004404,-3070926355,-9989282135,5046093631,14245374513,-5769263225,-13503655050,4673746989,8782370096,-2703220722,-3999613418,1121629088,1289938742,-334602946,-295444462,71586571,47759551,-10877388,-5357178,1150591,403694,-81789,-19279,3675,521,-93,-6,1', '975105897364,12722136788148,-34182394307735,-141561298835622,294715809971693,514388697560126,-916989868216716,-981178893972080,1368251209047902,1176591070510022,-1128769885527504,-911908844215476,559080301107189,460829956291778,-176495037156780,-155408141287396,37542565236609,36177190757070,-5665625138170,-5990962670846,639346431846,720527903938,-57069688845,-63569364706,4219105506,4109297290,-259799837,-191950546,12724718,6284788,-459174,-136242,11132,1748,-159,-10,1']}, 'subfield_mults': [1], 'subfields': ['-1.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a^{5} - 6 a^{3} + 8 a \\)', '\\( a^{5} - 7 a^{3} + 11 a - 1 \\)', '\\( a^{2} - 2 \\)', '\\( a^{3} - 3 a \\)', '\\( a^{5} + a^{4} - 6 a^{3} - 5 a^{2} + 8 a + 4 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5']}