Hilbert modular form data - 2.2.97.1-3.1-b

Formats: - HTML - YAML - JSON - 2024-05-02T05:35:17.646602

• 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': 2, 'dimension': 4, 'disc': 97, 'field_bad_primes': [97], 'field_label': '2.2.97.1', 'is_CM': 'no', 'is_base_change': 'no', 'label': '2.2.97.1-3.1-b', 'label_nsuffix': 1, 'label_suffix': 'b', 'level_bad_primes': [3], 'level_ideal': '[3, 3, 2*w + 9]', 'level_label': '3.1', 'level_norm': 3, 'parallel_weight': 2, 'short_label': '3.1-b', 'weight': '[2, 2]'}
• hmf_hecke •

  Column	Type
  AL_eigenvalues	jsonb
  hecke_eigenvalues	jsonb
  hecke_polynomial	text
  label	text

  
  {'AL_eigenvalues': [['[3, 3, 2*w + 9]', 1]], 'hecke_eigenvalues': ['1/2*e^3 + 1/2*e^2 - 3*e - 1', 'e', -1, '-1/2*e^3 + 1/2*e^2 + 3*e - 1', 'e^2 - 5', '-1/2*e^3 - 1/2*e^2 + 2*e + 5', '-e^3 + 3*e', '-e^2 - 3*e + 4', 'e^3 - e^2 - 2*e + 6', '3/2*e^3 + 1/2*e^2 - 5*e + 5', '-e^2 - e + 2', '-e^3 - 3*e^2 + 3*e + 9', '2*e^3 + e^2 - 11*e', '-e^3 - e^2 + 4*e', '-e^3 - 2*e^2 + 3*e + 2', '1/2*e^3 - 1/2*e^2 - e + 5', '-1/2*e^3 - 7/2*e^2 - e + 13', '3/2*e^3 + 3/2*e^2 - 6*e - 1', '-3*e^3 - e^2 + 12*e + 2', '-e^3 + 5*e + 2', '2*e^3 + e^2 - 9*e + 2', '2*e^2 - e - 5', '2*e^3 + e^2 - 15*e - 10', '3/2*e^3 + 1/2*e^2 - 3*e - 3', '3*e^2 + e - 6', '-e^3 + e^2 + 9*e - 3', '-e^3 - 5*e^2 + 6*e + 18', '-e^3 - 5*e^2 + 5*e + 17', 'e^3 - 2*e^2 - e + 10', '-9/2*e^3 - 1/2*e^2 + 22*e + 3', 'e^3 + 2*e^2 - 3*e - 2', '-2*e^3 - 2*e^2 + 12*e + 2', '4*e^3 + 4*e^2 - 17*e - 9', '-3*e^3 - 4*e^2 + 11*e + 12', '-5/2*e^3 - 1/2*e^2 + 10*e - 5', '-e^2 - 3*e + 20', '-3*e^3 - e^2 + 16*e + 4', '3*e^2 + e - 16', '3*e^2 + e - 16', '-e^3 + 2*e^2 + 14*e - 9', 'e^3 - 2*e^2 - 5*e - 10', '-3*e^3 - 2*e^2 + 23*e + 6', '4*e^3 - e^2 - 19*e + 6', '-3/2*e^3 + 9/2*e^2 + 10*e - 17', '-e^3 - 2*e^2 + 8*e + 5', '5*e^3 - 23*e + 8', '3*e^3 + 5*e^2 - 16*e - 8', 'e^2 + e - 10', '3*e^3 - e^2 - 14*e + 2', '5*e^3 + 5*e^2 - 28*e - 16', '-3*e^3 + e^2 + 22*e + 2', '3*e^3 + 2*e^2 - 13*e - 14', '1/2*e^3 - 3/2*e^2 + 8*e + 17', '-3*e^3 + 21*e', '3*e^3 + 3*e^2 - 18*e - 4', '-4*e^3 + 18*e + 6', '2*e^3 - 8*e^2 - 12*e + 28', 'e^3 - 7*e^2 - 6*e + 14', '-e^3 + 3*e^2 + 10*e - 2', '5*e^3 + 3*e^2 - 22*e + 6', '-4*e^3 - 2*e^2 + 17*e - 3', '-3*e^3 + e^2 + 14*e - 10', '-2*e^3 + 7*e^2 + 15*e - 18', '5*e^3 + 2*e^2 - 28*e + 3', '-6*e^3 - 5*e^2 + 21*e + 20', '2*e^3 + e^2 - 5*e - 4', '-5*e^3 - 6*e^2 + 27*e + 4', 'e^3 + e^2 - 11*e - 11', '2*e^2 + 5*e - 13', 'e^2 - 5*e - 10', 'e^3 - 3*e^2 - 12*e + 16', '2*e^3 - e^2 - 7*e', '-e^3 + 4*e^2 + 12*e - 7', '-5/2*e^3 - 13/2*e^2 + 2*e + 21', 'e^3 + 4*e^2 - 9*e - 22', '-e^3 + 3*e^2 - 2*e - 22', '-5*e^3 + 3*e^2 + 30*e - 16', '2*e^3 + 3*e^2 - 17*e - 16', '3*e^3 + e^2 - 8*e - 10', '-7/2*e^3 + 11/2*e^2 + 23*e - 9', 'e^3 + 5*e^2 - 32', '-5/2*e^3 + 11/2*e^2 + 16*e - 23', '6*e^3 + 4*e^2 - 28*e - 6', '3/2*e^3 - 5/2*e^2 - 4*e + 15', '-8*e^3 - e^2 + 37*e - 4', 'e^3 - 11*e - 26', '8*e^3 + 3*e^2 - 34*e - 9', '-e^3 - 3*e + 8', '-9*e^3 + 41*e - 8', '-2*e^3 + 2*e^2 + 8*e + 8', '2*e^3 - 6*e^2 - 7*e + 27', '3/2*e^3 + 11/2*e^2 - 2*e - 31', '4*e^3 - 32*e - 4', '-2*e^3 - 14', '-4*e^3 - e^2 + 31*e + 8', '-2*e^3 + 2*e^2 + 12*e - 22', '-3*e^3 + 4*e^2 + 7*e - 22', '-4*e^3 + 2*e^2 + 18*e + 6', '-5*e^3 - 4*e^2 + 29*e + 14', '-4*e^3 - e^2 + 23*e + 14', '5*e^3 + 5*e^2 - 13*e - 25', '-3*e^2 + 9', '9*e^3 + 11*e^2 - 44*e - 14', '9/2*e^3 + 5/2*e^2 - 22*e - 15', '5*e^3 + 14*e^2 - 25*e - 38', '-6*e^3 - 3*e^2 + 31*e + 12', '-3/2*e^3 - 17/2*e^2 + e + 33', 'e^3 + 5*e^2 - 18', '-3/2*e^3 + 7/2*e^2 + 13*e + 11', '-7*e^3 - e^2 + 34*e', 'e^3 + 6*e^2 - 15*e - 34', '2*e^3 + 2*e^2 - 20*e - 26', '-7/2*e^3 - 9/2*e^2 + 13*e + 27', '-3*e^3 - 9*e^2 + 12*e + 44', '4*e^3 + 5*e^2 - 25*e - 16', '7*e^3 + 9*e^2 - 32*e - 16', '-e^3 - 10*e^2 - 5*e + 48', '-7/2*e^3 - 3/2*e^2 + 18*e + 1', '8*e^2 + e - 21', '11*e^3 + 2*e^2 - 53*e - 6', '-2*e^3 - 8*e^2 - 4*e + 40', '-3*e^3 - 4*e^2 + 14*e + 31', '3*e^3 + 7*e^2 - 10*e - 42', 'e^3 - 10*e^2 - 16*e + 43', '4*e^3 + 7*e^2 - 17*e', '3*e^2 - 5*e - 22', '-e^3 + 5*e - 24', '4*e^3 - e^2 - 17*e - 10', '4*e^3 - 7*e^2 - 26*e + 33', '4*e^3 - 3*e^2 - 21*e + 2', '-3/2*e^3 + 3/2*e^2 - 5*e - 7', '5*e^3 - 12*e^2 - 21*e + 52', '-3*e^3 + 28*e + 19', '3*e^3 - 4*e^2 - 31*e + 14', '-7/2*e^3 - 7/2*e^2 + 26*e - 3', '-e^3 + e^2 - 4', '-2*e^3 - 5*e^2 + 15*e + 16', '5/2*e^3 + 9/2*e^2 - 14*e - 19', 'e^3 - 14*e^2 - 9*e + 38', '-3*e^3 + e^2 + 6*e - 18', '3*e^3 - 3*e^2 - 28*e + 6', '8*e^3 + 6*e^2 - 37*e + 15', 'e^3 + 6*e^2 - 3*e - 8', '-5*e^3 + 3*e^2 + 32*e - 28', '3/2*e^3 + 27/2*e^2 + 6*e - 37', '7*e^3 + 7*e^2 - 42*e - 4', 'e^3 - 4*e^2 + 3', '-23/2*e^3 - 17/2*e^2 + 53*e + 17', '-4*e^3 - 11*e^2 + 21*e + 22', '-4*e^3 + 2*e^2 + 18*e - 10', '4*e^3 + 6*e^2 - 10*e - 10', '-8*e^3 - 4*e^2 + 50*e + 20', '-5*e^3 - 3*e^2 + 36*e - 2', '3*e^3 - 2*e^2 - 25*e + 18', '-2*e^3 - 12*e^2 + 12*e + 24', '-2*e^3 + 12*e + 4', '-6*e^3 - 3*e^2 + 40*e - 13', '-e^3 + 5*e^2 + 2*e', '-6*e^3 + 9*e^2 + 27*e - 32', '-3*e^3 + 6*e^2 + 3*e - 28', '10*e^3 - 3*e^2 - 58*e - 5', '-2*e^3 - 8*e^2 + 20*e + 38', '15/2*e^3 + 13/2*e^2 - 55*e - 13', '4*e^3 - 8*e', '2*e^3 - 2*e^2 - 7*e + 25', '6*e^3 - 2*e^2 - 29*e - 13', '-10*e^3 - 16*e^2 + 46*e + 34', '-5*e^3 - e^2 + 14*e - 22', '-5*e^3 - 13*e^2 + 20*e + 38', '-4*e^3 - 18*e^2 + 12*e + 46', '-6*e^3 + 6*e^2 + 40*e - 8', '-3/2*e^3 - 21/2*e^2 + e + 29', '11/2*e^3 - 5/2*e^2 - 12*e + 25', '-2*e^3 - 5*e^2 + 7*e - 30', '-4*e^3 + 2*e^2 + 8*e - 18', '17/2*e^3 + 17/2*e^2 - 52*e - 3', '5*e^3 + 14*e^2 - 15*e - 30', '6*e^3 - 7*e^2 - 47*e + 22', '7*e^3 + 16*e^2 - 39*e - 32', '-21/2*e^3 - 11/2*e^2 + 47*e + 31', '5*e^3 + 4*e^2 - 13*e - 22', '-4*e^3 - 3*e^2 + 19*e - 2', '15/2*e^3 - 5/2*e^2 - 20*e + 29', '-9*e^3 - e^2 + 34*e', '-17/2*e^3 + 9/2*e^2 + 59*e - 9', '-10*e^3 + 46*e + 20', '9*e^3 - 5*e^2 - 59*e + 13', '-e^3 - e^2 + 3*e + 5', '-2*e^3 - 4*e^2 + 2*e + 30', '-8*e^3 + 2*e^2 + 37*e - 1', '-8*e^3 + 7*e^2 + 41*e - 18', '5*e^3 + 10*e^2 - 27*e - 18', '5*e^3 - 6*e^2 - 31*e - 20', '2*e^3 + e^2 - 11*e - 16', '-11*e^3 - 5*e^2 + 52*e + 2', '-4*e^3 - 11*e^2 + 15*e + 46', '7*e^3 - 10*e^2 - 33*e + 30', '-9*e^3 - 3*e^2 + 56*e - 10', '-4*e^3 - 14*e^2 + 34*e + 54', '6*e^3 + 7*e^2 - 25*e - 26', '7/2*e^3 + 11/2*e^2 - 34*e - 3', '-25/2*e^3 - 27/2*e^2 + 45*e + 37', '-e^3 - 16*e^2 + e + 66', '7/2*e^3 + 15/2*e^2 - 8*e - 3', '3*e^2 - e + 14', '17*e^2 - 7*e - 58', '-27/2*e^3 - 15/2*e^2 + 60*e + 25', '-10*e^3 - 2*e^2 + 60*e + 18', '-e^3 + 3*e^2 + 2*e + 16', '-11/2*e^3 + 5/2*e^2 + 22*e - 29', '-11*e^3 - 2*e^2 + 49*e - 20', '-12*e^3 - 8*e^2 + 77*e + 23', '17/2*e^3 + 21/2*e^2 - 36*e - 11', '-1/2*e^3 - 21/2*e^2 + 14*e + 37', '4*e^3 - 9*e^2 - 27*e + 20', '-2*e^3 - 5*e^2 + 23*e + 8', '-2*e^3 - 2*e^2 - 2*e - 20', '-6*e^3 - 11*e^2 + 9*e + 38', '-4*e^3 - 11*e^2 + 31*e + 52', 'e^3 - 4*e^2 - 11*e + 46', '4*e^3 + 8*e^2 - 29*e - 41', '9*e^2 - 17*e - 28', '8*e^3 - 9*e^2 - 47*e + 16', 'e^3 + 5*e^2 - 18*e - 50', '17/2*e^3 + 3/2*e^2 - 53*e + 3', '-15*e^3 - 8*e^2 + 56*e + 27', '2*e^3 + 7*e^2 - 5*e + 4', '7*e^3 + 8*e^2 - 19*e - 4', '2*e^2 - 7*e - 7', '6*e^3 + 4*e^2 - 14*e + 16', '-3*e^3 + 8*e^2 + e - 26', '6*e^3 + 11*e^2 - 35*e - 40', '10*e^3 + 4*e^2 - 50*e + 14', '-8*e^3 + 6*e^2 + 54*e + 8', '2*e^3 + 3*e^2 - e + 24', '-10*e^3 + 10*e^2 + 54*e - 22', '-5/2*e^3 - 31/2*e^2 + 7*e + 41', '-14*e^3 + 85*e + 13', '-2*e^3 + 7*e^2 + 11*e - 48', '-7*e^3 - 10*e^2 + 23*e + 30', '-6*e^3 + 26*e + 8', '4*e^3 + 11*e^2 - 3*e - 36', '-12*e^3 - 6*e^2 + 68*e + 30', 'e^3 - 17*e^2 - 14*e + 56', '-2*e^3 + e^2 - 5*e - 24', '12*e^2 - 12*e - 38', '7*e^3 + 2*e^2 - 64*e - 3', '-e^3 - 12*e^2 - e + 26', '13/2*e^3 + 43/2*e^2 - 27*e - 51', '17/2*e^3 + 1/2*e^2 - 22*e + 19', 'e^3 - e^2 - 17*e + 49', '-e^3 - e^2 + 22*e + 2', '4*e^3 + 2*e^2 - 16*e - 12', '-8*e^3 - e^2 + 37*e + 30', '-6*e^3 - 17*e^2 + 24*e + 45', '-7/2*e^3 - 31/2*e^2 + 26*e + 59', '6*e^3 - 52*e + 2', '9*e^3 - 2*e^2 - 53*e + 8', '-21/2*e^3 - 33/2*e^2 + 44*e + 43', '-11*e^3 - 19*e^2 + 40*e + 44', '14*e^3 + 4*e^2 - 76*e - 28', '-8*e^3 - 6*e^2 + 44*e - 10', 'e^3 + e^2 - 26*e - 32', '16*e^3 + 13*e^2 - 71*e - 8', '-2*e^3 + 2*e^2 - 22', '3*e^3 + 18*e^2 - 9*e - 58', 'e^3 + 2*e^2 - e - 40', '9*e^3 + 12*e^2 - 44*e + 5', '7/2*e^3 + 21/2*e^2 - 9*e - 35', '11*e^3 + 9*e^2 - 50*e - 34', '3*e^3 - e^2 - 38*e + 2', '-7*e^3 - 4*e^2 + 17*e - 4', '-4*e^3 + 13*e^2 + 17*e - 66', '9/2*e^3 + 13/2*e^2 - 33', '6*e^3 - 3*e^2 - 12*e + 11', '3*e^3 + 5*e^2 - 20*e + 10', '-3*e^3 + 8*e^2 + 7*e - 18', '23*e^2 + 11*e - 76', '12*e^3 + 3*e^2 - 59*e - 4', '2*e^2 + 20*e - 42', '-12*e^3 + 74*e + 2', '7*e^3 - e^2 - 54*e - 20', '-2*e^3 - 2*e^2 + 32*e + 4', '6*e^3 + 17*e^2 - 11*e - 72', '-5*e^3 - 2*e^2 + 42*e + 15', '-19*e^2 + 49', '23/2*e^3 - 3/2*e^2 - 51*e - 21', '-9*e^3 - 7*e^2 + 50*e + 14', '8*e^3 + 9*e^2 - 59*e - 26', '5*e^3 + 7*e^2 - 16*e - 56', '-11/2*e^3 + 19/2*e^2 + 31*e + 3', 'e^3 + 7*e^2 - 12*e - 28', '-11*e^3 + 5*e^2 + 37*e - 45', '10*e^3 + 21*e^2 - 51*e - 54', '9*e^3 + 10*e^2 - 51*e - 16', '-3*e^3 - 9*e^2 + 16*e + 20', '-1/2*e^3 + 13/2*e^2 + e - 23', '-3*e^3 + 5*e^2 + 8*e + 28', '16*e^3 - 6*e^2 - 88*e + 14', '-4*e^3 + 10*e^2 + 21*e - 31', '-3*e^3 + 9*e^2 + 22*e - 30', '5/2*e^3 + 25/2*e^2 + 10*e - 49', '-9*e^3 - 8*e^2 + 39*e - 2', '3*e^3 + 16*e^2 + 12*e - 87', '-6*e^2 + 12*e + 68', '-6*e^3 - 5*e^2 + 53*e - 12', '4*e^3 + 3*e^2 - 32*e - 49', '5*e^3 - 7*e^2 - 13*e + 45', '-e^3 - 5*e^2 + 2*e + 8', '1/2*e^3 + 25/2*e^2 + 6*e - 45', '6*e^3 - e^2 - 39*e - 56', '-13*e^3 - 10*e^2 + 65*e', '2*e^3 + 5*e^2 - 9*e - 68', '13*e^3 + 15*e^2 - 84*e - 30', '8*e^3 + 4*e^2 - 25*e - 21', '-3*e^3 - 10*e^2 + 5*e + 42', '4*e^3 - 14*e^2 - 16*e + 58', '5*e^3 + 9*e^2 - 10*e - 32', '-23*e^3 - 12*e^2 + 99*e + 36', '-4*e^3 - 4*e^2 + 42*e - 14', '5*e^3 + 17*e^2 - 24*e - 14', '-11/2*e^3 + 27/2*e^2 + 43*e - 13', '16*e^3 - 4*e^2 - 68*e + 14', '-7*e^3 + 12*e^2 + 35*e - 26', '-2*e^3 + 7*e^2 - 14*e - 39', 'e^2 + 23*e - 12', '-7*e^3 + 11*e^2 + 14*e - 80', '4*e^3 + 2*e^2 - 4*e + 28', '3*e^3 - 4*e^2 - 2*e - 17', '11/2*e^3 - 21/2*e^2 - 24*e + 71', '15*e^3 - 2*e^2 - 87*e - 8', '-5*e^3 - 9*e^2 + 33*e + 51', 'e^3 - 3*e^2 - 2*e + 46', '3*e^3 - 6*e^2 - 31*e - 8', '-3*e^3 + 6*e^2 + 20*e - 3', '5*e^3 - 12*e^2 - 13*e + 52', '3*e^2 - 7*e + 40', '11*e^3 + 13*e^2 - 68*e - 44', '-14*e^3 - 19*e^2 + 53*e + 72', '-8*e^3 - 4*e^2 + 28*e - 4', '-8*e^3 + 15*e^2 + 22*e - 99', '6*e^3 - 8*e^2 - 29*e + 29', '11/2*e^3 - 7/2*e^2 - 27*e + 73', '-19/2*e^3 - 11/2*e^2 + 48*e - 1', '-19/2*e^3 - 35/2*e^2 + 48*e + 39', '-2*e^3 + 16*e^2 + 28*e - 60', '-13*e^3 - 19*e^2 + 63*e + 21', '-23/2*e^3 - 1/2*e^2 + 39*e - 37', '11*e^3 + 16*e^2 - 65*e - 22', '12*e^3 + 6*e^2 - 66*e + 4', '8*e^3 - 8*e^2 - 26*e + 48', '-4*e^3 + 7*e^2 + 23*e - 48', '-19/2*e^3 - 21/2*e^2 + 73*e + 15', '-3*e^3 - 12*e^2 + 3*e + 46', 'e^3 + 19*e^2 + 12*e - 66', '9*e^3 - 4*e^2 - 39*e + 28', '-12*e^3 - 2*e^2 + 66*e - 10', '5*e^3 - 21*e^2 - 15*e + 97', '9*e^3 - 13*e^2 - 52*e + 42', '9/2*e^3 - 13/2*e^2 - 31*e + 17', 'e^3 - 2*e^2 + 19*e + 6', '2*e^3 + 17*e^2 - 9*e - 94', '1/2*e^3 - 15/2*e^2 - 8*e + 39', '9/2*e^3 - 9/2*e^2 - 37*e + 57', '9*e^3 + 3*e^2 - 60*e - 34', '-8*e^3 + e^2 + 65*e - 20', '-3*e^3 - 5*e^2 + 12*e - 40', '-7*e^3 - 5*e^2 + 22*e + 42', '7*e^3 + 22*e^2 - 35*e - 64', 'e^3 - 4*e^2 + 9*e - 4', '2*e^3 - 23*e^2 - 19*e + 58', '13*e^3 + 14*e^2 - 53*e - 64', '-3*e^3 - 3*e^2 + 40*e + 38', '-9*e^3 - 24*e^2 + 45*e + 56', '6*e^3 + 6*e^2 - 12*e - 30', '-3/2*e^3 - 63/2*e^2 + 105', '2*e^3 + 13*e^2 - 27*e - 50', '9*e^3 + 2*e^2 - 51*e - 10', '-15*e^3 - 2*e^2 + 85*e + 22', '-4*e^3 + 3*e^2 + 41*e - 10', '-22*e^3 - 6*e^2 + 88*e - 6', '6*e^3 + 13*e^2 - 43*e - 70', '8*e^3 + 3*e^2 - 32*e + 13', '-21/2*e^3 - 39/2*e^2 + 33*e + 43', '5*e^3 + e^2 - 21*e - 29', '-3*e^3 + 3*e^2 + 30*e + 18', '23*e^3 + 19*e^2 - 82*e - 54', '19*e^3 + 9*e^2 - 78*e - 4', '-3*e^3 + 9*e^2 + 30*e - 20', '7/2*e^3 + 1/2*e^2 - 29*e - 53', '-9*e^3 + 6*e^2 + 51*e + 26', '-29/2*e^3 - 13/2*e^2 + 58*e + 43', '9*e^3 - 42*e + 21', '2*e^3 + 10*e^2 + 4*e + 8', '-15/2*e^3 - 35/2*e^2 + 14*e + 43', '21*e^3 + 12*e^2 - 79*e - 16', '15*e^3 - 2*e^2 - 94*e - 5', '-6*e^3 + 54*e - 34', '-e^3 + 7*e^2 - 3*e - 57', '9*e^3 + e^2 - 72*e - 20', '2*e^3 - 13*e^2 + 6*e + 83', '7*e^3 + 11*e^2 - 12*e - 4', '-e^3 + 3*e^2 + 34', '5*e^3 - 18*e^2 - 40*e + 73', '35/2*e^3 + 23/2*e^2 - 58*e - 15', '13*e^3 + 12*e^2 - 81*e - 10', '-2*e^3 - e^2 + 13*e + 52', '-2*e^3 - 2*e^2 + 3*e + 55', '-6*e^3 - 10*e^2 + 20*e + 40', '-8*e^3 + 6*e^2 + 70*e - 40', '9*e^3 - 16*e^2 - 53*e + 26', '7*e^3 + 24*e^2 - 31*e - 62', '19/2*e^3 + 25/2*e^2 - 17*e - 25', '19/2*e^3 + 49/2*e^2 - 43*e - 91', '-11*e^3 + e^2 + 70*e - 22', '23*e^3 + 10*e^2 - 101*e - 30', '19*e^3 - 10*e^2 - 106*e + 21', '11/2*e^3 + 45/2*e^2 - 39*e - 55', '4*e^3 + 11*e^2 - 36*e - 37', '-7*e^3 - 12*e^2 + 43*e + 38', '-3*e^3 - 18*e^2 + 17*e + 30', '-7/2*e^3 + 11/2*e^2 + 45*e + 9', '-33/2*e^3 + 11/2*e^2 + 78*e - 39', '16*e^3 + 20*e^2 - 60*e - 62', '11/2*e^3 + 45/2*e^2 - 17*e - 97', '4*e^3 - 7*e^2 - 26*e + 65', '-4*e^3 + 3*e^2 + 9*e - 20', '17*e^3 + 10*e^2 - 71*e - 8', '-9*e^3 - 7*e^2 + 66*e + 34', 'e^3 + 11*e^2 + 8*e - 80', '6*e^3 + 18*e^2 - 44*e - 74', '-3*e^3 + 6*e^2 + 27*e - 12', '10*e^3 + 13*e^2 - 59*e - 80', '-9*e^3 + 2*e^2 + 28*e - 29', '-23*e^3 - 9*e^2 + 91*e - 7', '11*e^3 + 20*e^2 - 41*e - 50', '-14*e^2 - 4*e + 74', '-7*e^3 + 4*e^2 + 33*e + 10', '17/2*e^3 + 19/2*e^2 - 53*e + 15', '21/2*e^3 + 23/2*e^2 - 19*e - 31', '-6*e^3 - 7*e^2 + 7*e + 42', '-15*e^3 + 17*e^2 + 70*e - 68', '7*e^3 - 16*e^2 - 27*e + 70', '24*e^3 - 7*e^2 - 117*e + 22', '-19/2*e^3 - 13/2*e^2 + 33*e - 17', '-21/2*e^3 - 13/2*e^2 + 54*e - 29', '13*e^3 + 22*e^2 - 43*e - 60', '-9*e^3 - 22*e^2 + 65*e + 58', '2*e^3 + 4*e^2 + 17*e - 17', '-3*e^3 + 2*e^2 - 5*e - 32', '-33/2*e^3 - 19/2*e^2 + 87*e - 1', '12*e^3 + 5*e^2 - 57*e + 46', '-6*e^3 - 11*e^2 + 39*e + 58', '-e^3 - 11*e^2 + 28*e + 56', '-7*e^3 - e^2 + 48*e - 52', '14*e^3 + 17*e^2 - 67*e - 36', '2*e^3 - 15*e^2 - 39*e + 68', '-3*e^3 + 3*e^2 + 8', '-22*e^3 - 26*e^2 + 118*e + 36', '-4*e^3 + 5*e^2 + 3*e - 22', '14*e^3 + 2*e^2 - 58*e + 30', '6*e^3 + 14*e^2 - 29*e - 71', '3/2*e^3 + 1/2*e^2 - 23*e + 39', '18*e^3 + 8*e^2 - 121*e - 33', '6*e^3 + 14*e^2 - 24*e - 62', '11*e^3 + 6*e^2 - 61*e - 26', '-e^3 + 35*e - 30', '-5/2*e^3 - 27/2*e^2 + 21*e + 53', '-4*e^3 - 13*e^2 + 17*e + 52', '7*e^3 + 13*e^2 - 16*e - 20', '-e^3 - 14*e^2 - 21*e + 40', '-e^3 - 23*e^2 - 7*e + 39', '-17/2*e^3 - 39/2*e^2 + 47*e + 79', '-12*e^3 + 8*e^2 + 80*e + 16', '6*e^3 + 11*e^2 - 38*e - 53', '-17*e^3 - 14*e^2 + 54*e + 51', '-11/2*e^3 - 3/2*e^2 + 56*e + 39', '7*e^3 + 20*e^2 - e - 88', 'e^3 - 12*e^2 - 21*e + 68', '17*e^3 + 5*e^2 - 92*e + 2', '-e^3 + e^2 + 4', '13*e^3 + 21*e^2 - 84*e - 66', '9*e^3 + e^2 - 51*e - 57', '8*e^3 + 8*e^2 - 42*e - 72', '6*e^3 - 10*e^2 - 36*e - 22', '9*e^3 - 9*e^2 - 50*e + 80', '29/2*e^3 + 57/2*e^2 - 60*e - 51', '19/2*e^3 + 31/2*e^2 - 72*e - 49', '12*e^3 + 26*e^2 - 65*e - 67', '14*e^3 + 25*e^2 - 73*e - 60', '-23*e^3 - 13*e^2 + 124*e + 32', '-13*e^3 - 19*e^2 + 48*e + 24', '35/2*e^3 + 45/2*e^2 - 55*e - 61', '17/2*e^3 + 49/2*e^2 - 42*e - 85', '-7*e^3 + 13*e^2 + 26*e - 32', '3*e^3 - 12*e^2 - 4*e + 79', '-20*e^3 - 12*e^2 + 103*e + 51', '8*e^3 - 40*e + 16', '-11*e^3 - 10*e^2 + 47*e + 30', '-17*e^3 - 5*e^2 + 89*e + 1', '-29/2*e^3 + 7/2*e^2 + 90*e + 15', '-11*e^3 - 27*e^2 + 39*e + 69', '24*e^2 + 19*e - 57', '31/2*e^3 - 25/2*e^2 - 78*e + 23', '-5*e^3 - 11*e^2 + 4*e + 10', '-20*e^3 - 2*e^2 + 90*e + 8', '3*e^3 + 3*e^2 - 24*e + 18', '8*e^2 - 18*e - 56', '-10*e^3 - 11*e^2 + 42*e + 17', '55/2*e^3 + 7/2*e^2 - 134*e - 7', '6*e^3 + 7*e^2 - 23*e + 6', '27/2*e^3 + 11/2*e^2 - 74*e - 25', '-2*e^3 + 13*e^2 + 51*e - 36', '4*e^3 - 7*e^2 - 36*e - 25', '-16*e^3 - 5*e^2 + 73*e + 24', '-9*e^3 - 18*e^2 + 26*e + 59', '-18*e^3 - 3*e^2 + 94*e - 19', '7*e^3 - 15*e^2 - 52*e + 14', '-5*e^3 + 10*e^2 + 42*e + 19', '-7*e^3 - 8*e^2 + 55*e - 12', '-14*e^3 - 17*e^2 + 76*e + 63', '12*e^3 + 5*e^2 - 40*e - 21', '-29/2*e^3 - 9/2*e^2 + 46*e - 29', '13/2*e^3 + 37/2*e^2 - 36*e - 77', '7*e^3 - 18*e^2 - 31*e + 92', '4*e^3 - 16*e^2 - 21*e + 15', '-2*e^3 + 11*e^2 + 16*e - 23', '-17/2*e^3 - 47/2*e^2 + 45*e + 57', '-15*e^3 - 12*e^2 + 70*e + 33', '-20*e^3 - 7*e^2 + 77*e + 12', '-e^3 + 3*e^2 + 34*e - 22', '-26*e^3 - 3*e^2 + 125*e + 12', '12*e^3 + 26*e^2 - 20*e - 102', '-11*e^3 - 15*e^2 + 57*e + 27', '8*e^3 + 17*e^2 - 57*e - 66', '-9*e^3 + 8*e^2 + 34*e - 69', '-13*e^3 - 14*e^2 + 35*e + 12', '11*e^3 + e^2 - 99*e + 3', '5/2*e^3 - 19/2*e^2 + 8*e + 57', '-19/2*e^3 + 31/2*e^2 + 25*e - 95', '11*e^3 - 8*e^2 - 55*e + 18', 'e^3 - 6*e^2 - 2*e + 3', '6*e^3 - 8*e^2 - 20*e + 30', '15*e^3 - 16*e^2 - 89*e + 8', '-5*e^3 - 11*e^2 + 6*e + 68', '43/2*e^3 + 25/2*e^2 - 87*e + 5', '10*e^3 + 9*e^2 - 35*e - 86', '7/2*e^3 + 15/2*e^2 - 28*e + 9', '-2*e^3 - 2*e^2 + 18*e - 16', '3*e^3 + 15*e^2 - 48*e - 88', '-3*e^3 + 6*e^2 + 21*e - 42', '10*e^3 + 2*e^2 - 32*e', '-3*e^3 - 31*e^2 + 2*e + 104', '-3*e^3 + 12*e^2 + 53*e - 62', '10*e^3 - 6*e^2 - 48*e - 12', '31/2*e^3 - 11/2*e^2 - 63*e + 7', '-18*e^3 - 2*e^2 + 87*e + 21', '11*e^3 + 14*e^2 - 33*e - 38', '-6*e^3 + 11*e^2 + 53*e - 56', '-e^3 + 9*e^2 - 14*e - 76', '-13/2*e^3 - 43/2*e^2 + 25*e - 5', '18*e^3 - 6*e^2 - 104*e - 14', '23/2*e^3 + 51/2*e^2 - 56*e - 85', '13*e^3 + 14*e^2 - 73*e - 40', '-5*e^3 - 24*e^2 + e + 74', '-16*e^3 - 14*e^2 + 80*e + 4', '-15*e^3 + e^2 + 70*e - 14', '-9*e^3 - 7*e^2 + 56*e - 32', '13*e^3 - 11*e^2 - 56*e + 86', '13/2*e^3 - 13/2*e^2 - 39*e - 25', '-4*e^3 - 2*e^2 + 14*e + 14', '13/2*e^3 + 15/2*e^2 - 55*e - 7', '-11*e^3 - 26*e^2 + 37*e + 54', '27/2*e^3 - 29/2*e^2 - 38*e + 117', '-e^3 + 8*e^2 - 7*e - 28', '16*e^3 + 13*e^2 - 63*e + 30', '-3*e^3 + 24*e^2 + 37*e - 74', '-7*e^3 + 10*e^2 + 61*e - 36', '-17*e^3 - 15*e^2 + 54*e + 10', '11*e^3 + 27*e^2 - 48*e - 72', '8*e^3 + 11*e^2 + 7*e - 52', '-3/2*e^3 + 39/2*e^2 + 45*e - 69', '-15*e^2 - 21*e + 80', '3/2*e^3 - 11/2*e^2 - 31*e + 47', '23/2*e^3 - 21/2*e^2 - 78*e + 37', '-12*e^3 + 19*e^2 + 92*e - 63', '-9*e^3 + 26*e^2 + 41*e - 118', '-8*e^3 + 28*e^2 + 42*e - 120', 'e^3 - 20*e^2 - 17*e + 86', '-6*e^3 + 23*e^2 + 23*e - 124', '11*e^3 - 4*e^2 - 39*e + 68', '-9*e^3 - 10*e^2 + 37*e + 26', '-12*e^3 + 16*e^2 + 50*e - 82', '-12*e^3 - 23*e^2 + 45*e + 90', '6*e^3 - 16*e^2 - 70*e + 72', '13*e^3 + 4*e^2 - 47*e - 16', '6*e^3 - 5*e^2 - 61*e + 46', '-4*e^3 + 16*e - 86', '17*e^3 + 25*e^2 - 88*e - 16', '24*e^3 + 2*e^2 - 122*e - 12', '-11*e^3 - 4*e^2 + 67*e + 96', '6*e^3 + e^2 - 17*e + 64', '-33/2*e^3 - 51/2*e^2 + 67*e + 79', '2*e^3 + 5*e^2 + 5*e - 30', '-27/2*e^3 - 19/2*e^2 + 68*e + 11', '-3/2*e^3 - 31/2*e^2 + 53', 'e^3 + 29*e^2 + 12*e - 104', '7*e^3 + 3*e^2 - 24*e - 50', '6*e^3 + 33*e^2 - 19*e - 124', '19*e^3 + 19*e^2 - 106*e - 80', '-e^3 - 16*e^2 - 19*e + 76', '17*e^2 + 39*e - 62', '-18*e^3 - 26*e^2 + 64*e + 86', '5/2*e^3 - 7/2*e^2 + 14*e + 83', '9/2*e^3 + 19/2*e^2 + 7*e - 79', '-4*e^3 + 4*e - 12', '-2*e^3 - 5*e^2 + e + 70', '-4*e^3 + 22*e^2 + 34*e - 72', '-16*e^3 - 15*e^2 + 63*e + 58', '9*e^3 + 15*e^2 - 66*e - 84', '13/2*e^3 - 5/2*e^2 - 57*e + 71', '22*e^3 + 26*e^2 - 88*e - 40', '-17*e^3 - 10*e^2 + 76*e - 13', '-21/2*e^3 + 9/2*e^2 + 53*e + 31', 'e^3 - 9*e^2 - 6*e - 14', '-1/2*e^3 - 41/2*e^2 + 63', '37/2*e^3 + 33/2*e^2 - 54*e - 27', '-2*e^3 - 14*e^2 - 8*e + 4', '-e^3 + 8*e^2 - 33*e - 20', '17*e^3 + 4*e^2 - 61*e + 50', '-2*e^3 + 3*e^2 + 21*e + 52', '-16*e^3 + 19*e^2 + 91*e - 28', '4*e^3 + 15*e^2 - 28*e - 27', '8*e^3 + 19*e^2 - 7*e - 88', '-9/2*e^3 + 7/2*e^2 + 4*e - 9', '11*e^3 - 8*e^2 - 78*e + 63', '19*e^3 + 26*e^2 - 111*e - 68', '-6*e^3 - 37*e^2 + 22*e + 79', '-17*e^3 + 15*e^2 + 88*e - 48', '18*e^3 + 13*e^2 - 79*e - 82', '9/2*e^3 - 3/2*e^2 - 18*e + 61', '10*e^3 + 14*e^2 - 68*e + 20', '-17*e^3 - 8*e^2 + 91*e + 22', '1/2*e^3 - 79/2*e^2 - 6*e + 123', '-13*e^3 + 19*e^2 + 77*e - 45', '-9*e^3 - 16*e^2 + 16*e + 83', '-7*e^3 - 20*e^2 + 23*e + 102', 'e^3 - 17*e^2 - 34*e + 104', '-10*e^3 + 2*e^2 + 42*e - 56', '-4*e^3 - 10*e^2 + 6*e + 130', '13*e^3 - 31*e^2 - 76*e + 80', '-8*e^3 + e^2 + 37*e - 12', '25*e^3 + 15*e^2 - 108*e - 10', '6*e^3 - 9*e^2 - 41*e + 30', '35*e^3 + 26*e^2 - 149*e - 56', '7*e^3 + 15*e^2 - 15*e - 87', '-11*e^3 + e^2 + 94*e + 28', '4*e^3 + 5*e^2 - 5*e - 96', '2*e^3 - 14*e^2 + 6*e + 118', '-2*e^3 + 20*e^2 - 14*e - 100', '-9*e^3 - 14*e^2 + 85*e + 58', '27/2*e^3 - 33/2*e^2 - 68*e + 97', '-22*e^3 - 17*e^2 + 125*e + 56', '-6*e^3 + 4*e^2 + 78*e - 34', '9*e^3 + 17*e^2 - 44*e - 56', '-e^3 - 3*e^2 - 7*e - 3', '10*e^3 + 2*e^2 - 92*e - 28', 'e^3 - 17*e^2 + 4*e + 60', '-57/2*e^3 - 31/2*e^2 + 147*e + 61', '7*e^3 - 26*e^2 - 50*e + 71', '11*e^3 + 19*e^2 - 83*e - 37', '-16*e^3 + e^2 + 44*e - 53', '-25/2*e^3 - 37/2*e^2 + 36*e + 117', '6*e^3 - 4*e^2 - 46*e - 20', '-27*e^3 - 7*e^2 + 136*e + 14', '20*e^3 + 23*e^2 - 67*e - 64', '9*e^3 - 12*e^2 - 57*e + 72', '15*e^3 + 2*e^2 - 81*e - 6', '-7*e^3 + 21*e^2 + 18*e - 66', '4*e^3 + 35*e^2 - 11*e - 138', '-12*e^3 - 4*e^2 + 94*e + 52', '-27/2*e^3 + 13/2*e^2 + 66*e - 57', '5*e^3 - 9*e^2 - 12*e + 24', '4*e^3 + 10*e^2 - 10*e + 10', '12*e^3 - 17*e^2 - 76*e + 95', '15*e^3 - 4*e^2 - 57*e - 8', '-17*e^3 - 19*e^2 + 72*e + 34', '4*e^3 + 4*e^2 - 20*e - 18', '-2*e^3 - 3*e^2 + 6*e + 41', '-13*e^3 - 3*e^2 + 50*e + 50', '-e^2 + 29*e + 56', '-5*e^3 - 14*e^2 + 60*e + 95', '2*e^3 - 8*e^2 - 48*e + 26', '-11/2*e^3 - 35/2*e^2 + 4*e + 35', '-15*e^3 + 5*e^2 + 82*e - 42', '4*e^3 + 14*e^2 - 36*e - 26', '3*e^3 - 21*e^2 - 30*e + 40', '5*e^2 + 8*e - 45', '13/2*e^3 + 63/2*e^2 - 35*e - 89', '19*e^3 + 22*e^2 - 87*e - 10', '-13*e^3 - 13*e^2 + 94*e + 16', 'e^3 + 15*e^2 + 16*e - 36', '19/2*e^3 + 5/2*e^2 - 55*e - 7', '-17*e^3 + 9*e^2 + 68*e - 88', '47/2*e^3 + 25/2*e^2 - 109*e - 81', '7*e^3 + 28*e^2 - 57*e - 76', '-13*e^2 - 31*e + 34', '-31*e^3 - 15*e^2 + 168*e + 30', '33/2*e^3 + 51/2*e^2 - 59*e - 49', '17*e^3 - 17*e^2 - 100*e + 72', '36*e^3 + 13*e^2 - 158*e - 11', '25*e^3 + 15*e^2 - 82*e - 38', '-9*e^3 - 2*e^2 + 25*e + 6', '-13*e^3 + 25*e^2 + 64*e - 94', '-13*e^3 - 13*e^2 + 26*e + 38', '8*e^3 - 9*e^2 - 21*e + 90', '-9/2*e^3 + 17/2*e^2 + 39*e + 35', '-6*e^3 - 41*e^2 + 26*e + 129', '-2*e^3 - 9*e^2 + 31*e + 80', '-16*e^3 - 16*e^2 + 78*e + 72', '-16*e^3 - 12*e^2 + 60*e - 10', '-9*e^3 - 15*e^2 - e + 49', '11/2*e^3 - 23/2*e^2 - 21*e - 31', '10*e^3 + 23*e^2 - 58*e - 39', '-3*e^3 - 14*e^2 - 7*e + 80', '-6*e^3 - 15*e^2 + 25*e + 104', '-4*e^3 + 37*e^2 + 30*e - 131', '9*e^3 - 33*e^2 - 68*e + 102', '12*e^3 + 16*e^2 - 28*e - 74', '-6*e^3 - 23*e^2 + 29*e + 22', '4*e^3 + 19*e^2 + 19*e - 96', '4*e^3 - 7*e^2 - e + 40', '8*e^3 + 20*e^2 - 16*e - 104', '-7/2*e^3 + 73/2*e^2 + 44*e - 149', '-11*e^3 - 16*e^2 + 45*e + 16', '16*e^3 + 28*e^2 - 72*e - 54', '12*e^3 - 3*e^2 - 57*e + 26', '-11/2*e^3 + 13/2*e^2 + 16*e + 29', 'e^3 + 7*e^2 - 16*e - 12', '8*e^3 - 55*e - 39', 'e^3 + 2*e^2 - 7*e - 46', '10*e^3 + 12*e^2 - 74*e - 10', '-5/2*e^3 - 3/2*e^2 - 3*e - 89', '14*e^3 + 3*e^2 - 83*e + 48', '-3*e^3 - 4*e^2 - 21*e + 54', '-7*e^3 + e^2 + 39*e + 11', '9*e^3 - 11*e^2 - 60*e - 10', '-18*e^3 + 3*e^2 + 67*e - 56', '-18*e^3 - 36*e^2 + 67*e + 115', '15/2*e^3 + 53/2*e^2 - 35*e - 31', '-23/2*e^3 - 33/2*e^2 + 83*e + 101', '9*e^3 + 13*e^2 - 16*e - 52', '-10*e^3 - 45*e^2 + 53*e + 108', '-20*e^3 + 6*e^2 + 122*e + 8', '-2*e^3 - 10*e^2 - 21*e + 25', '16*e^3 + 4*e^2 - 70*e + 6', '-10*e^3 - 10*e^2 + 18*e + 54', '-55/2*e^3 + 23/2*e^2 + 157*e - 5', '27/2*e^3 + 5/2*e^2 - 93*e - 7', '-10*e^3 - 13*e^2 + 27*e - 2', '9*e^3 - 14*e^2 - 71*e + 78', '11*e^3 - e^2 - 62*e + 68', '-10*e^3 - e^2 + 47*e + 44', '-17*e^3 + 12*e^2 + 107*e - 58', '-14*e^3 - 5*e^2 + 63*e - 28', '-23/2*e^3 - 25/2*e^2 + 93*e + 61', '-11*e^3 - 22*e^2 + 70*e + 111', '9*e^3 + 20*e^2 - 21*e - 12', '-8*e^3 + 26*e^2 + 57*e - 51', '-e^3 + 22*e^2 + 11*e - 88', '-19*e^3 + 14*e^2 + 78*e - 69', '11*e^3 + 8*e^2 - 33*e - 12', '-5*e^2 + 41*e - 6', '45/2*e^3 + 49/2*e^2 - 114*e - 97', '-e^3 - 14*e^2 + 31*e + 62', '-6*e^3 + 10*e^2 - 8*e - 42', '-14*e^3 + 10*e^2 + 60*e - 54', '11*e^3 + 31*e^2 - 78*e - 88', '-27/2*e^3 - 7/2*e^2 + 44*e - 69', '7*e^3 + 17*e^2 - 56*e - 130', '18*e^3 + 25*e^2 - 103*e - 50', '-8*e^3 - 14*e^2 + 70*e + 6', '10*e^3 + 14*e^2 - 88*e - 66', '-8*e^2 - 40*e', '16*e^3 + 11*e^2 - 69*e - 82', '-27*e^3 - 25*e^2 + 96*e + 84', '-27/2*e^3 - 11/2*e^2 + 62*e + 23', '15*e^3 - 2*e^2 - 88*e - 23', '-3*e^3 + 6*e^2 + 32*e - 13', '-2*e^3 + 24*e^2 + 33*e - 105', '-30*e^3 - 43*e^2 + 133*e + 82', '-24*e^3 + 8*e^2 + 104*e - 10', '-24*e^3 - 12*e^2 + 144*e + 18', '9/2*e^3 - 31/2*e^2 - 36*e + 77', '11*e^3 + e^2 - 41*e - 19', '20*e^3 + 15*e^2 - 125*e - 62', '18*e^3 - 5*e^2 - 73*e + 52', '-19*e^3 - 29*e^2 + 80*e + 98', '13*e^3 - e^2 - 96*e + 30', '6*e^3 - 36*e^2 - 36*e + 106', '15*e^3 - 6*e^2 - 47*e + 6', '7*e^3 + 13*e^2 - 55*e - 111', '14*e^3 - 24*e^2 - 66*e + 66', '14*e^3 + 30*e^2 - 72*e - 16', '49/2*e^3 + 41/2*e^2 - 118*e - 37', '12*e^3 + 22*e^2 - 76*e - 36', '-e^3 - 22*e^2 + 18*e + 43', '-11*e^3 - 18*e^2 + 27*e + 80', '-11*e^3 - 3*e^2 + 68*e - 60', '-15*e^3 - 13*e^2 + 70*e + 12', '13*e^3 + 8*e^2 - 22*e - 57', '16*e^3 + 11*e^2 - 58*e + 31', '13/2*e^3 + 53/2*e^2 - 32*e - 91', '-24*e^3 + 5*e^2 + 115*e - 48', '6*e^3 + 28*e^2 - 40*e - 90', '-18*e^3 + 3*e^2 + 93*e - 30', '4*e^3 + 17*e^2 - 10*e + 25', '-17/2*e^3 - 75/2*e^2 + 41*e + 129', '3*e^3 - e^2 + 16*e - 40', '7*e^3 + 11*e^2 - 40*e - 106', '-41/2*e^3 + 9/2*e^2 + 79*e - 69', '-5/2*e^3 + 19/2*e^2 + 24*e + 73', '24*e^3 + 15*e^2 - 139*e - 54', '8*e^3 - 24*e^2 - 26*e + 110', '-4*e^3 + 10*e^2 + 12*e + 58', '-16*e^3 + 16*e^2 + 77*e - 79', '-8*e^3 + 15*e^2 + 25*e - 18', '14*e^3 - 23*e^2 - 65*e + 106', '-12*e^3 - 15*e^2 + 55*e', '-14*e^3 - 8*e^2 + 70*e + 54', '4*e^3 + 8*e^2 - 12*e + 6', '-20*e^3 - 29*e^2 + 78*e + 103', '12*e^3 - 23*e^2 - 29*e + 172', '25*e^3 + 4*e^2 - 133*e - 6', '20*e^3 - 10*e^2 - 91*e + 47', '3*e^3 - 26*e^2 - 57*e + 92', '5/2*e^3 - 25/2*e^2 + e + 119', '6*e^3 - e^2 - 57*e - 8', '-2*e^3 - 30*e^2 + 104', '15*e^3 - 14*e^2 - 59*e + 130', '-23/2*e^3 + 35/2*e^2 + 37*e - 89', '5*e^3 - 2*e^2 - 25*e - 16', '8*e^3 - 20*e^2 - 72*e + 62', '-4*e^3 + 12*e^2 + 36*e - 74', '2*e^3 - 18*e^2 + 2*e + 64', '-11*e^3 + 39*e^2 + 60*e - 160', '-6*e^3 + 14*e^2 + 71*e - 95', '1/2*e^3 + 23/2*e^2 - 41*e - 71', '14*e^3 + 5*e^2 - 81*e + 4', '19*e^3 + 6*e^2 - 141*e - 30', '9*e^3 - 4*e^2 - 9*e + 82', '29*e^3 + 29*e^2 - 104*e - 68', '-12*e^3 + 17*e^2 + 94*e - 17', '9*e^3 - 27*e^2 - 96*e + 90', '-13*e^3 - 40*e^2 + 68*e + 57', '-6*e^3 - 35*e^2 + 48*e + 133', '1/2*e^3 - 1/2*e^2 - 23*e + 37', '-19*e^3 - 22*e^2 + 81*e + 38', '26*e^3 + 10*e^2 - 102*e - 8', '-15*e^3 - 9*e^2 + 110*e + 38', '6*e^3 - 11*e^2 - 7*e + 24', '11/2*e^3 - 33/2*e^2 - 14*e + 145', '-21*e^3 - 2*e^2 + 99*e - 2', '-23*e^3 - 15*e^2 + 113*e - 3', '-5*e^3 + 29*e^2 + 40*e - 60', '-e^3 + 3*e^2 + 25*e - 57', '13*e^3 - 31*e^2 - 86*e + 62', '2*e^3 + 5*e^2 + 29*e + 8', '18*e^3 - 3*e^2 - 107*e - 96', '-12*e^3 - 12*e^2 + 68*e + 42', '21*e^3 + 20*e^2 - 101*e + 18', '7*e^3 - 3*e^2 - 28*e - 44', '-14*e^3 + 14*e^2 + 43*e - 63', '-26*e^3 - 5*e^2 + 127*e - 40', '-16*e^3 - 15*e^2 + 67*e + 112', '-43/2*e^3 + 5/2*e^2 + 104*e - 25', '7*e^3 - 5*e^2 - 26*e + 72', '22*e^3 + 25*e^2 - 95*e - 64', '3*e^3 - 15*e^2 - 12*e + 148', '5*e^3 + e^2 - 4*e - 38', '37*e^3 + 18*e^2 - 154*e - 51', '-23*e^3 - 43*e^2 + 133*e + 107', '-16*e^3 - 9*e^2 + 36*e + 5', '-7/2*e^3 + 33/2*e^2 + 52*e - 43', '13*e^3 + 9*e^2 - 58*e + 48', '-1/2*e^3 - 27/2*e^2 - 23*e + 75', '26*e^3 + 16*e^2 - 164*e - 34', '-23*e^3 - 26*e^2 + 131*e + 90', '13*e^3 - 10*e^2 - 45*e + 38', '-2*e^3 + 17*e^2 + 33*e - 60', '-15*e^3 - 28*e^2 + 72*e + 49', '-15*e^3 - e^2 + 32*e - 26', '5/2*e^3 - 37/2*e^2 + 47*e + 117', '33/2*e^3 + 15/2*e^2 - 105*e - 67', '-6*e^3 - 25*e^2 + 27*e + 88', '8*e^3 - 19*e^2 - 19*e + 114', '-27/2*e^3 - 25/2*e^2 + 39*e + 53', '18*e^3 - 13*e^2 - 90*e - 19', '-13/2*e^3 - 83/2*e^2 + 21*e + 79', '-13/2*e^3 - 13/2*e^2 + 16*e - 67', '9*e^3 + 29*e^2 - 56*e - 90', '5*e^3 + 8*e^2 - 37*e - 112', '-11*e^3 - 12*e^2 + 111*e + 42', '-12*e^3 + 19*e^2 + 69*e - 38', '-16*e^3 - 2*e^2 + 84*e + 98', '-22*e^3 + e^2 + 133*e + 56', '-10*e^3 - 29*e^2 + 39*e + 136', '-21*e^3 - 10*e^2 + 93*e - 50', '14*e^3 + 31*e^2 - 32*e - 143', '16*e^3 + 8*e^2 - 31*e + 9', '22*e^3 + 19*e^2 - 116*e - 113', '-17*e^3 + 8*e^2 + 89*e + 28', '11*e^3 + 5*e^2 - 103*e - 51', '-4*e^3 + 18*e^2 + 22*e - 86', '-16*e^3 + 8*e^2 + 57*e - 1', '11*e^3 + 18*e^2 - 109*e - 104', '28*e^3 + 26*e^2 - 130*e - 90', '19*e^3 - 2*e^2 - 66*e + 95', '-2*e^3 - 55*e^2 - 5*e + 158', '-20*e^3 - 14*e^2 + 96*e + 6', '-8*e^3 - 13*e^2 + 11*e - 12', '-3*e^3 + 28*e^2 + 19*e - 46', '4*e^3 - 27*e^2 - 2*e + 67', '3*e^3 - 15*e^2 - 44*e + 54', '-12*e^3 + 9*e^2 + 97*e - 30', '-15*e^3 - e^2 + 124*e + 12', '-8*e^3 + 36*e^2 + 42*e - 100', '-e^3 + 25*e^2 + 24*e - 82', '28*e^3 + 7*e^2 - 151*e - 26', '-17/2*e^3 + 1/2*e^2 + 73*e - 1', '-26*e^2 + 34*e + 130', '30*e^3 + 22*e^2 - 103*e - 55', '11*e^3 + 22*e^2 - 96*e - 37', '4*e^3 - 7*e^2 - e + 12', '-43/2*e^3 + 31/2*e^2 + 99*e - 33', '18*e^3 - 27*e^2 - 67*e + 146', '32*e^3 + 32*e^2 - 176*e - 68', '-2*e^3 + 15*e^2 + 23*e - 8', '-2*e^3 - 48*e^2 - 26*e + 198', '-37/2*e^3 - 47/2*e^2 + 49*e + 89', '22*e^3 - 4*e^2 - 124*e + 28', '-22*e^3 - 29*e^2 + 70*e + 63', 'e^3 + 26*e^2 + 7*e - 34', '18*e^3 - 9*e^2 - 125*e + 4', '-5*e^3 + 6*e^2 + 53*e - 22', '30*e^3 + 15*e^2 - 165*e - 64', '31*e^3 + 3*e^2 - 162*e - 46', '11*e^3 + 44*e^2 - 37*e - 156', '-15*e^3 - 25*e^2 + 48*e + 50', '-33*e^3 - 34*e^2 + 181*e + 76', '-5*e^3 - 5*e - 38', '11*e^3 + 13*e^2 - 23*e - 9', '13*e^3 - 21*e^2 - 90*e + 42', '-4*e^3 + 5*e^2 + 68*e - 41', '23*e^3 + 19*e^2 - 110*e - 26', '3*e^3 + 25*e^2 + 12*e - 102', '-31/2*e^3 + 45/2*e^2 + 86*e - 23', '26*e^3 + 6*e^2 - 168*e - 48', '54*e^3 + 26*e^2 - 230*e - 48', '-12*e^3 - 17*e^2 + 81*e - 42', '-13*e^3 + 8*e^2 + 59*e - 6', '-21*e^3 + 12*e^2 + 110*e - 33', '-4*e^3 - 9*e^2 + 34*e + 77', '25*e^3 + 33*e^2 - 116*e - 56', '-5*e^3 + 6*e^2 - 2*e - 33', '4*e^3 + 15*e^2 - 39*e - 38', '9/2*e^3 - 35/2*e^2 + 6*e + 143', '4*e^3 + 9*e^2 + 9*e + 32', '-28*e^3 + 5*e^2 + 108*e - 59', '-27*e^3 - 31*e^2 + 170*e + 62', '15*e^3 - 13*e^2 - 88*e + 34', '-17/2*e^3 + 21/2*e^2 + 57*e + 19', '-33*e^3 + 3*e^2 + 157*e - 33', '12*e^3 + 21*e^2 - 15*e - 96', '-13/2*e^3 - 7/2*e^2 + 15*e + 101', '-14*e^3 + 2*e^2 + 57*e + 19', '-9*e^3 + 43*e^2 + 46*e - 148', '10*e^3 - 44*e^2 - 74*e + 156', '41/2*e^3 + 31/2*e^2 - 103*e + 53', '-29*e^3 - 33*e^2 + 130*e + 112', '-33*e^3 - 17*e^2 + 136*e + 54', '11*e^3 - 13*e^2 - 98*e + 24', '18*e^3 + 16*e^2 - 70*e + 40', '4*e^3 - 21*e^2 - 11*e + 124', '24*e^3 + 29*e^2 - 102*e - 111', '-31/2*e^3 - 19/2*e^2 + 40*e + 39', '-11*e^3 - 35*e^2 + 35*e + 129', '7*e^3 - 28*e + 15', '-32*e^3 - 10*e^2 + 126*e + 16', '-3*e^3 + 21*e^2 - 7*e - 55', '-11*e^3 - 10*e^2 + 27*e - 36', '-31*e^3 - 10*e^2 + 145*e + 54', '11/2*e^3 + 31/2*e^2 + 21', '7*e^3 + 2*e^2 - 54*e - 15', '-15*e^3 - 4*e^2 + 111*e - 14', '-11/2*e^3 - 39/2*e^2 + 32*e + 161', '13*e^3 - 7*e^2 - 86*e + 2', '-13*e^3 + 3*e^2 + 72*e + 36', '37/2*e^3 + 55/2*e^2 - 89*e + 17', '12*e^3 + 18*e^2 - 99*e - 91', '9*e^3 - 15*e^2 - 95*e + 9', '-45/2*e^3 - 17/2*e^2 + 144*e + 21', '3*e^3 - 18*e^2 - 29*e + 12', '4*e^3 - 31*e^2 - 5*e + 128', '12*e^3 - 5*e^2 - 59*e + 112', '20*e^3 + 17*e^2 - 133*e - 32', '-9/2*e^3 + 79/2*e^2 + 14*e - 177', '-61/2*e^3 - 65/2*e^2 + 124*e + 99', '9/2*e^3 + 7/2*e^2 - 75*e + 15', '-5/2*e^3 + 57/2*e^2 - 7*e - 139', '-16*e^3 + 18*e^2 + 130*e - 50', '-25*e^3 - 2*e^2 + 95*e - 10', '6*e^3 + 5*e^2 + 33*e - 30', '21/2*e^3 + 83/2*e^2 - 51*e - 93', '3/2*e^3 + 99/2*e^2 + 14*e - 131', '2*e^3 - 34*e^2 - 15*e + 135', '9*e^3 - 13*e^2 - 16*e + 96', '-16*e^3 - 4*e^2 + 96*e - 12', '-17*e^3 - 8*e^2 + 109*e - 38', '27*e^3 + 7*e^2 - 116*e - 84', '-19/2*e^3 - 31/2*e^2 + 68*e + 45', '26*e^3 + e^2 - 143*e - 50', '22*e^3 - 4*e^2 - 138*e - 24', '28*e^3 + 20*e^2 - 132*e - 52', '67/2*e^3 + 13/2*e^2 - 135*e - 1', '-7*e^3 - 34*e^2 + 5*e + 154', '8*e^3 - e^2 - 37*e + 76', '-18*e^3 - 10*e^2 + 62*e + 40', '5/2*e^3 + 47/2*e^2 - 39*e - 75', '-13*e^3 + 8*e^2 + 33*e - 30', '-11*e^3 - 45*e^2 + 54*e + 124', '8*e^3 - 2*e^2 - 56*e + 104', '29*e^3 + 60*e^2 - 141*e - 106', '-12*e^3 - 32*e^2 + 72*e + 94', '32*e^3 - 11*e^2 - 159*e + 38', '-8*e^3 + 20*e^2 + 68*e - 48', '-3*e^3 - 2*e^2 - 44*e + 21', '-12*e^3 - 28*e^2 + 70*e + 90', '-2*e^3 + 4*e^2 - 16*e - 126', '21*e^3 + 18*e^2 - 82*e + 11', '22*e^3 + 7*e^2 - 111*e - 122', '-17*e^3 - 32*e^2 + 105*e + 96', '-9*e^3 - 14*e^2 + 87*e + 98', '17*e^3 + 23*e^2 - 38*e - 100', '-6*e^3 + 17*e^2 + 57*e - 86', '-21*e^3 - 22*e^2 + 115*e + 70', '5*e^3 + 15*e^2 - 40*e - 136', '-75/2*e^3 - 35/2*e^2 + 220*e + 49', '5*e^3 - 34*e^2 - 51*e + 114', '13*e^3 + 47*e^2 - 72*e - 146', '45/2*e^3 + 43/2*e^2 - 59*e - 51', '11*e^3 + 29*e^2 - 44*e - 60', '2*e^3 + 19*e^2 + 13*e - 2', '17*e^3 + 8*e^2 - 109*e - 52', '26*e^3 + 35*e^2 - 118*e - 41', '-11*e^3 - 4*e^2 + 33*e - 68', '14*e^3 + 26*e^2 - 40*e - 86', '-27*e^3 + 19*e^2 + 132*e - 54', '-10*e^3 - 10*e^2 + 44*e + 28', '-11*e^3 + 9*e^2 + 32*e - 142', '17*e^3 - 16*e^2 - 69*e + 46', '-13*e^3 + 29*e^2 + 48*e - 98', '-11*e^3 - 13*e^2 + 54*e - 40', '-13*e^3 - 15*e^2 + 66*e + 120', '-3*e^3 + 13*e^2 + 53*e - 9', '5*e^3 + 20*e^2 + 41*e - 108', '-2*e^3 - 16*e^2 + 10*e + 58', '6*e^3 + 5*e^2 - 51*e - 26', '-11*e^3 - 24*e^2 - 3*e + 108', '3*e^3 - 20*e^2 + 17*e + 178', 'e^3 + 26*e^2 + 3*e - 98', '15*e^3 - 7*e^2 - 136*e + 16', '8*e^3 + 12*e^2 - 60*e - 112', '-9*e^3 - 33*e^2 + 16*e + 118', '10*e^3 - 7*e^2 - 95*e + 64', '-15*e^3 + 17*e^2 + 102*e + 8', '-24*e^3 - 47*e^2 + 119*e + 134', 'e^3 - 2*e^2 + 17*e - 26', '-13/2*e^3 + 15/2*e^2 - 18*e - 23', '21*e^3 + 2*e^2 - 115*e - 50', '-26*e^3 - 5*e^2 + 99*e - 8', '37*e^3 - 19*e^2 - 208*e + 14', '3*e^3 + 13*e^2 + 8*e - 76', '4*e^3 + 27*e^2 - 25*e - 114', '11*e^3 - 24*e^2 - 103*e + 112', '7*e^3 - 57*e^2 - 58*e + 156', '-11*e^3 - 26*e^2 + 35*e - 2', '43*e^3 + 24*e^2 - 215*e - 64', '12*e^3 - 18*e^2 - 69*e - 19', '-e^3 - 21*e^2 - 7*e + 3', '-e^3 - 3*e^2 - 36*e + 28', '-20*e^3 - 20*e^2 + 114*e + 70', '-25/2*e^3 + 29/2*e^2 + 69*e - 9', '25*e^3 + 8*e^2 - 119*e + 38', '25*e^3 - 5*e^2 - 100*e + 70', '13*e^3 - 14*e^2 - 108*e + 11', '-10*e^3 - 21*e^2 + 39*e - 4', '27*e^3 + 6*e^2 - 132*e - 25', '-10*e^3 + 6*e^2 + 38*e + 64', '2*e^3 - 17*e^2 - 37*e - 14', '-11*e^3 - 29*e^2 + 46*e + 66', '-16*e^3 + 11*e^2 + 101*e + 52', '2*e^3 + 15*e^2 - 14*e + 43', '-7*e^3 + 15*e^2 + 30*e - 28', '10*e^3 + 38*e^2 - 38*e - 42', '33*e^3 + 19*e^2 - 134*e - 58', '24*e^3 + 3*e^2 - 93*e + 42', '-29/2*e^3 - 31/2*e^2 + 49*e + 23', '17/2*e^3 + 13/2*e^2 - 46*e + 53', '20*e^2 - 4*e - 48', '-13*e^3 + e^2 + 107*e - 17', '2*e^3 - 6*e^2 + 3*e - 69', '-6*e^3 - 20*e^2 - 16*e + 20', '3*e^3 - 16*e^2 - 55*e + 66', '2*e^3 + 48*e^2 - 24*e - 166', '11*e^3 + 43*e^2 - 43*e - 143', '18*e^3 + 29*e^2 - 83*e - 32', '17*e^3 + 24*e^2 - 59*e - 82', '16*e^3 - 11*e^2 - 92*e - 11', '30*e^2 - 33*e - 139', '9*e^3 + 21*e^2 - 46*e - 92', '8*e^3 + 22*e^2 - 27*e - 63', '35/2*e^3 - 7/2*e^2 - 79*e - 17', '16*e^3 + 20*e^2 - 102*e + 2', '7*e^3 + 7*e^2 - 56*e - 92', '49/2*e^3 + 47/2*e^2 - 141*e - 115', '30*e^3 + 12*e^2 - 185*e - 61', '-8*e^3 + 6*e^2 - 16*e - 38', '-20*e^3 + 18*e^2 + 92*e - 94', '19*e^3 + 9*e^2 - 140*e - 32', '2*e^3 - 7*e^2 - 27*e + 22', '-18*e^3 - 29*e^2 + 47*e + 98', '45/2*e^3 + 69/2*e^2 - 86*e - 83', '-4*e^3 - 14*e^2 + 22*e + 70', '-9*e^3 + 14*e^2 + 47*e + 8', '-21*e^3 - 17*e^2 + 66*e + 28', '-12*e^3 + 22*e^2 + 120*e - 74', '-25*e^3 + 2*e^2 + 125*e - 62', '5/2*e^3 - 25/2*e^2 - 55*e + 61', '-71/2*e^3 - 41/2*e^2 + 151*e + 93', '8*e^3 - 15*e^2 - 67*e + 28', '-30*e^3 - 9*e^2 + 143*e + 22', '11/2*e^3 - 1/2*e^2 - 28*e - 87', '37*e^3 + 31*e^2 - 151*e - 93', '12*e^3 - 25*e^2 - 79*e + 60', '-2*e^3 - 9*e^2 - 53*e', '-12*e^3 + 25*e^2 + 105*e - 112', '11*e^3 - 31*e^2 - 80*e + 154', '24*e^3 - 9*e^2 - 126*e + 7', '-5*e^3 + 34*e^2 + 51*e - 136', '4*e^3 - 38*e^2 + 2*e + 202', '-16*e^3 - 2*e^2 + 114*e + 42', '25*e^3 + 14*e^2 - 147*e - 36', '-3*e^3 + 19*e^2 + 40*e - 76', '-15*e^3 + e^2 + 116*e - 16', '22*e^3 + 38*e^2 - 114*e - 120', '5*e^3 + 18*e^2 + 13*e - 24', '17*e^3 + 12*e^2 - 48*e - 5', '-11*e^3 + 12*e^2 + 65*e - 100', '-4*e^3 + 4*e^2 + 8*e - 50', '13*e^3 + 5*e^2 - 94*e + 22', 'e^3 + 37*e^2 - 8*e - 132', '6*e^3 + 45*e^2 - 31*e - 92', '10*e^3 - e^2 - 104*e + 63', '-19*e^3 - 40*e^2 + 127*e + 114', '-13*e^3 - 23*e^2 + 56*e + 62', '-12*e^3 - 12*e^2 + 46*e + 34', '-83/2*e^3 - 29/2*e^2 + 203*e + 55', '14*e^3 + 11*e^2 - 67*e - 88', '30*e^3 - 2*e^2 - 104*e + 54', '17*e^3 + 21*e^2 - 46*e - 36', '37/2*e^3 + 91/2*e^2 - 55*e - 159', '21/2*e^3 + 3/2*e^2 - 31*e - 5', '25*e^3 + 15*e^2 - 114*e - 12', '11/2*e^3 - 23/2*e^2 - 39*e - 27', '9*e^3 + e^2 - 56*e + 52', '-8*e^3 + 12*e^2 + 46*e - 54', '2*e^3 + 11*e^2 - 49*e - 36', '-1/2*e^3 + 19/2*e^2 + 14*e + 39', '13*e^3 - 7*e^2 - 38*e + 104', '-1/2*e^3 + 27/2*e^2 + 18*e + 89', '-18*e^3 - 41*e^2 + 91*e + 78', '-29/2*e^3 + 7/2*e^2 + 48*e - 103', '-13*e^3 - 33*e^2 + 58*e + 124', '5*e^3 + 44*e^2 - 35*e - 140', '7*e^3 - 20*e^2 - 78*e + 65', 'e^3 - 3*e^2 - 16*e + 28', '2*e^3 + 20*e^2 + 2*e - 106', '-13*e^3 - 7*e^2 + 28*e + 42', '-e^3 - 2*e^2 - 6*e - 21', '37/2*e^3 + 19/2*e^2 - 113*e - 97', '7*e^3 - 6*e^2 - 86*e + 65', '38*e^3 - e^2 - 169*e + 30', '-16*e^3 + 25*e^2 + 50*e - 133', '18*e^3 - 14*e^2 - 102*e + 8', '-3*e^3 + 2*e^2 + 67*e + 20', '-19*e^3 - 22*e^2 + 57*e + 32', '18*e^3 - 21*e^2 - 69*e + 172', '-16*e^2 + 56*e + 84', '-14*e^3 - 23*e^2 + 57*e + 48', '7*e^3 + 3*e^2 - 54*e - 70', '-6*e^3 - 41*e^2 - 9*e + 118', '-15*e^3 - 18*e^2 + 61*e + 110', '11*e^3 + 25*e^2 - 29*e - 85', '-9*e^3 + 49*e^2 + 60*e - 188', '24*e^3 + 4*e^2 - 140*e - 76', '13*e^3 + 4*e^2 - 50*e - 7', '27*e^3 + 38*e^2 - 95*e - 102', '-11/2*e^3 + 25/2*e^2 + 42*e - 79', '-9*e^3 + 33*e^2 + 56*e - 96', '2*e^3 + 12*e^2 + 24*e - 44', '10*e^3 + 14*e^2 + 8*e - 14', '19*e^3 - 8*e^2 - 59*e + 142', '-31*e^3 - 19*e^2 + 150*e - 6', '24*e^3 + 9*e^2 - 117*e - 104', '16*e^3 - 6*e^2 - 51*e + 93', '18*e^3 - 7*e^2 - 40*e + 131', '3*e^3 + 26*e^2 + 18*e - 45'], 'hecke_polynomial': 'x^4 + x^3 - 6*x^2 - 4*x + 4', 'label': '2.2.97.1-3.1-b'}
• hmf_fields •

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

  
  {'degree': 2, 'discriminant': 97, 'ideals': ['[1, 1, 1]', '[2, 2, 7*w - 38]', '[2, 2, -7*w - 31]', '[3, 3, 2*w + 9]', '[3, 3, 2*w - 11]', '[4, 2, 2]', '[4, 4, w + 4]', '[4, 4, w - 5]', '[6, 6, w - 6]', '[6, 6, 5*w + 22]', '[6, 6, -5*w + 27]', '[6, 6, w + 5]', '[8, 4, 14*w - 76]', '[8, 4, -14*w - 62]', '[8, 8, -3*w + 16]', '[8, 8, -3*w - 13]', '[9, 3, 3]', '[9, 9, 26*w + 115]', '[9, 9, 26*w - 141]', '[11, 11, -12*w + 65]', '[11, 11, -12*w - 53]', '[12, 6, 4*w + 18]', '[12, 6, 4*w - 22]', '[12, 12, 19*w + 84]', '[12, 12, w + 3]', '[12, 12, -w + 4]', '[12, 12, -19*w + 103]', '[16, 4, 4]', '[16, 8, 2*w + 8]', '[16, 8, 2*w - 10]', '[16, 16, -9*w + 49]', '[16, 16, 9*w + 40]', '[18, 6, -21*w + 114]', '[18, 6, 21*w + 93]', '[18, 18, -w - 2]', '[18, 18, -w - 6]', '[18, 18, w - 7]', '[18, 18, -w + 3]', '[22, 22, w + 1]', '[22, 22, -3*w + 17]', '[22, 22, 3*w + 14]', '[22, 22, w - 2]', '[24, 12, 2*w - 12]', '[24, 12, 10*w + 44]', '[24, 12, -10*w + 54]', '[24, 12, 2*w + 10]', '[24, 24, -w]', '[24, 24, 47*w + 208]', '[24, 24, 47*w - 255]', '[24, 24, w - 1]', '[25, 5, 5]', '[27, 9, -6*w - 27]', '[27, 9, -6*w + 33]', '[27, 27, -4*w - 17]', '[27, 27, 4*w - 21]', '[31, 31, 8*w - 43]', '[31, 31, 8*w + 35]', '[32, 8, 28*w - 152]', '[32, 8, -28*w - 124]', '[32, 16, -6*w + 32]', '[32, 16, -6*w - 26]', '[32, 32, -w - 7]', '[32, 32, w - 8]', '[33, 33, 16*w - 87]', '[33, 33, -2*w + 9]', '[33, 33, 2*w + 7]', '[33, 33, 16*w + 71]', '[36, 6, 6]', '[36, 12, -3*w - 12]', '[36, 12, -3*w + 15]', '[36, 18, 52*w + 230]', '[36, 18, 52*w - 282]', '[36, 36, 11*w + 49]', '[36, 36, 17*w + 75]', '[36, 36, 17*w - 92]', '[36, 36, -11*w + 60]', '[43, 43, 54*w + 239]', '[43, 43, -54*w + 293]', '[44, 22, -24*w + 130]', '[44, 22, -24*w - 106]', '[44, 44, 5*w - 28]', '[44, 44, -45*w + 244]', '[44, 44, -45*w - 199]', '[44, 44, -5*w - 23]', '[47, 47, 2*w - 13]', '[47, 47, -2*w - 11]', '[48, 12, 8*w + 36]', '[48, 12, 8*w - 44]', '[48, 24, 38*w + 168]', '[48, 24, 2*w + 6]', '[48, 24, -2*w + 8]', '[48, 24, -38*w + 206]', '[48, 48, -w - 8]', '[48, 48, -31*w - 137]', '[48, 48, 31*w - 168]', '[48, 48, -w + 9]', '[49, 7, -7]', '[50, 10, 35*w - 190]', '[50, 10, -35*w - 155]', '[53, 53, 4*w + 19]', '[53, 53, 4*w - 23]', '[54, 18, -3*w + 18]', '[54, 18, -15*w - 66]', '[54, 18, 15*w - 81]', '[54, 18, -3*w - 15]', '[54, 54, -23*w + 125]', '[54, 54, -5*w - 21]', '[54, 54, 5*w - 26]', '[54, 54, -23*w - 102]', '[61, 61, 2*w - 7]', '[61, 61, -2*w - 5]', '[62, 62, -13*w - 58]', '[62, 62, -3*w + 14]', '[62, 62, -3*w - 11]', '[62, 62, 13*w - 71]', '[64, 8, 8]', '[64, 16, 4*w + 16]', '[64, 16, 4*w - 20]', '[64, 32, -18*w + 98]', '[64, 32, 18*w + 80]', '[64, 64, 85*w + 376]', '[64, 64, 85*w - 461]', '[66, 66, w + 9]', '[66, 66, 61*w + 270]', '[66, 66, -13*w + 70]', '[66, 66, -7*w + 37]', '[66, 66, 7*w + 30]', '[66, 66, 13*w + 57]', '[66, 66, 61*w - 331]', '[66, 66, w - 10]', '[72, 12, -42*w + 228]', '[72, 12, 42*w + 186]', '[72, 24, 9*w - 48]', '[72, 24, 9*w + 39]', '[72, 36, -2*w - 4]', '[72, 36, -2*w - 12]', '[72, 36, 2*w - 14]', '[72, 36, -2*w + 6]', '[72, 72, 7*w - 39]', '[72, 72, -11*w - 48]', '[72, 72, -11*w + 59]', '[72, 72, -7*w - 32]', '[73, 73, 22*w + 97]', '[73, 73, -22*w + 119]', '[75, 15, 10*w + 45]', '[75, 15, 10*w - 55]', '[79, 79, -30*w + 163]', '[79, 79, 30*w + 133]', '[81, 9, 9]', '[81, 27, -78*w - 345]', '[81, 27, -78*w + 423]', '[81, 81, 2*w - 5]', '[81, 81, 2*w + 3]', '[86, 86, -w - 10]', '[86, 86, -3*w - 10]', '[86, 86, -3*w + 13]', '[86, 86, w - 11]', '[88, 44, 2*w + 2]', '[88, 44, -6*w + 34]', '[88, 44, 6*w + 28]', '[88, 44, 2*w - 4]', '[88, 88, -3*w + 19]', '[88, 88, 29*w - 157]', '[88, 88, 29*w + 128]', '[88, 88, 3*w + 16]', '[89, 89, 6*w + 25]', '[89, 89, -6*w + 31]', '[93, 93, -68*w - 301]', '[93, 93, 2*w - 3]', '[93, 93, -2*w - 1]', '[93, 93, -68*w + 369]', '[94, 94, 15*w + 67]', '[94, 94, 71*w - 385]', '[94, 94, -153*w + 830]', '[94, 94, -15*w + 82]', '[96, 24, 4*w - 24]', '[96, 24, 20*w + 88]', '[96, 24, -20*w + 108]', '[96, 24, 4*w + 20]', '[96, 48, -2*w]', '[96, 48, 94*w + 416]', '[96, 48, 94*w - 510]', '[96, 48, 2*w - 2]', '[96, 96, -5*w - 24]', '[96, 96, -25*w - 111]', '[96, 96, -25*w + 136]', '[96, 96, -5*w + 29]', '[97, 97, 2*w - 1]', '[98, 14, -49*w + 266]', '[98, 14, 49*w + 217]', '[99, 33, 36*w - 195]', '[99, 33, 36*w + 159]', '[99, 99, -4*w + 19]', '[99, 99, 2*w - 15]', '[99, 99, -2*w - 13]', '[99, 99, -4*w - 15]', '[100, 10, 10]', '[100, 20, 5*w + 20]', '[100, 20, 5*w - 25]', '[101, 101, 20*w - 109]', '[101, 101, 20*w + 89]', '[103, 103, 64*w + 283]', '[103, 103, -64*w + 347]', '[106, 106, 9*w - 50]', '[106, 106, 43*w + 190]', '[106, 106, -43*w + 233]', '[106, 106, 9*w + 41]', '[108, 18, -12*w - 54]', '[108, 18, -12*w + 66]', '[108, 36, -57*w - 252]', '[108, 36, -3*w - 9]', '[108, 36, 3*w - 12]', '[108, 36, 57*w - 309]', '[108, 54, -8*w - 34]', '[108, 54, 8*w - 42]', '[108, 108, -w - 11]', '[108, 108, -37*w + 201]', '[108, 108, -37*w - 164]', '[108, 108, -w + 12]', '[109, 109, -50*w + 271]', '[109, 109, -50*w - 221]', '[113, 113, -18*w + 97]', '[113, 113, 18*w + 79]', '[121, 11, 11]', '[121, 121, 10*w - 53]', '[121, 121, 10*w + 43]', '[122, 122, -27*w - 119]', '[122, 122, 111*w + 491]', '[122, 122, -111*w + 602]', '[122, 122, 27*w - 146]', '[124, 62, 16*w - 86]', '[124, 62, 16*w + 70]', '[124, 124, 75*w + 332]', '[124, 124, 3*w + 17]', '[124, 124, -3*w + 20]', '[124, 124, -75*w + 407]', '[128, 16, 56*w - 304]', '[128, 16, -56*w - 248]', '[128, 32, -12*w + 64]', '[128, 32, -12*w - 52]', '[128, 64, -2*w - 14]', '[128, 64, 2*w - 16]', '[128, 128, -3*w + 11]', '[128, 128, -3*w - 8]', '[129, 129, -14*w - 61]', '[129, 129, -8*w - 37]', '[129, 129, -8*w + 45]', '[129, 129, 14*w - 75]', '[132, 66, 32*w - 174]', '[132, 66, -4*w + 18]', '[132, 66, 4*w + 14]', '[132, 66, 32*w + 142]', '[132, 132, -w - 12]', '[132, 132, 17*w + 76]', '[132, 132, 7*w + 29]', '[132, 132, -101*w + 548]', '[132, 132, -101*w - 447]', '[132, 132, -7*w + 36]', '[132, 132, 17*w - 93]', '[132, 132, -w + 13]', '[141, 141, -44*w + 239]', '[141, 141, -4*w + 25]', '[141, 141, -4*w - 21]', '[141, 141, -44*w - 195]', '[144, 12, 12]', '[144, 24, -6*w - 24]', '[144, 24, -6*w + 30]', '[144, 36, 104*w + 460]', '[144, 36, 104*w - 564]', '[144, 48, 27*w - 147]', '[144, 48, -27*w - 120]', '[144, 72, 22*w + 98]', '[144, 72, 34*w + 150]', '[144, 72, 34*w - 184]', '[144, 72, -22*w + 120]', '[144, 144, 5*w - 24]', '[144, 144, -7*w + 40]', '[144, 144, 7*w + 33]', '[144, 144, 5*w + 19]', '[146, 146, 11*w - 61]', '[146, 146, 3*w + 7]', '[146, 146, -3*w + 10]', '[146, 146, 11*w + 50]', '[147, 21, -14*w - 63]', '[147, 21, -14*w + 77]', '[150, 30, 5*w - 30]', '[150, 30, 25*w + 110]', '[150, 30, -25*w + 135]', '[150, 30, 5*w + 25]', '[151, 151, 6*w + 29]', '[151, 151, 6*w - 35]', '[158, 158, -w - 13]', '[158, 158, -9*w + 47]', '[158, 158, -9*w - 38]', '[158, 158, w - 14]', '[159, 159, 82*w + 363]', '[159, 159, 2*w - 17]', '[159, 159, -2*w - 15]', '[159, 159, -82*w + 445]', '[162, 18, 63*w - 342]', '[162, 18, -63*w - 279]', '[162, 54, 3*w + 6]', '[162, 54, 3*w + 18]', '[162, 54, -3*w + 21]', '[162, 54, 3*w - 9]', '[162, 162, -97*w + 526]', '[162, 162, -41*w + 222]', '[162, 162, -41*w - 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109]', '[6451, 6451, -20*w - 47]', '[6451, 6451, 20*w - 67]', '[6481, 6481, 24*w - 155]', '[6481, 6481, 24*w + 131]', '[6491, 6491, 70*w - 389]', '[6491, 6491, 70*w + 319]', '[6521, 6521, -584*w + 3169]', '[6521, 6521, 584*w + 2585]', '[6547, 6547, 44*w + 179]', '[6547, 6547, 44*w - 223]', '[6553, 6553, 22*w - 83]', '[6553, 6553, -22*w - 61]', '[6563, 6563, 34*w + 169]', '[6563, 6563, 34*w - 203]', '[6569, 6569, 40*w - 233]', '[6569, 6569, 40*w + 193]', '[6571, 6571, 54*w - 305]', '[6571, 6571, 54*w + 251]', '[6599, 6599, 38*w - 223]', '[6599, 6599, 38*w + 185]', '[6607, 6607, -32*w - 119]', '[6607, 6607, -32*w + 151]', '[6661, 6661, -636*w + 3451]', '[6661, 6661, 636*w + 2815]', '[6689, 6689, 88*w + 397]', '[6689, 6689, 88*w - 485]', '[6691, 6691, 28*w + 97]', '[6691, 6691, -28*w + 125]', '[6701, 6701, 18*w - 43]', '[6701, 6701, -18*w - 25]', '[6709, 6709, -12*w - 95]', '[6709, 6709, 12*w - 107]', '[6737, 6737, 152*w + 677]', '[6737, 6737, -152*w + 829]', '[6763, 6763, 172*w + 757]', '[6763, 6763, -172*w + 929]', '[6779, 6779, -36*w - 139]', '[6779, 6779, 36*w - 175]', '[6781, 6781, -62*w - 263]', '[6781, 6781, -62*w + 325]', '[6791, 6791, 10*w - 101]', '[6791, 6791, -10*w - 91]', '[6793, 6793, 38*w - 187]', '[6793, 6793, -38*w - 149]', '[6823, 6823, 688*w + 3043]', '[6823, 6823, -688*w + 3731]', '[6833, 6833, 18*w - 41]', '[6833, 6833, -18*w - 23]', '[6863, 6863, 226*w + 1003]', '[6863, 6863, -226*w + 1229]', '[6869, 6869, -150*w + 809]', '[6869, 6869, 150*w + 659]', '[6871, 6871, 6*w - 91]', '[6871, 6871, -6*w - 85]', '[6883, 6883, 126*w - 689]', '[6883, 6883, 126*w + 563]', '[6889, 83, -83]', '[6899, 6899, 910*w + 4027]', '[6899, 6899, -910*w + 4937]', '[6911, 6911, 14*w - 115]', '[6911, 6911, -14*w - 101]', '[6949, 6949, 60*w - 337]', '[6949, 6949, 60*w + 277]', '[6959, 6959, 2*w - 85]', '[6959, 6959, -2*w - 83]', '[6983, 6983, -552*w + 2993]', '[6983, 6983, 552*w + 2441]', '[7019, 7019, -598*w + 3245]', '[7019, 7019, 598*w + 2647]', '[7027, 7027, -18*w - 113]', '[7027, 7027, 18*w - 131]', '[7057, 7057, -24*w - 133]', '[7057, 7057, 24*w - 157]', '[7069, 7069, -674*w + 3655]', '[7069, 7069, 674*w + 2981]', '[7079, 7079, 24*w - 95]', '[7079, 7079, -24*w - 71]', '[7103, 7103, -168*w + 907]', '[7103, 7103, 168*w + 739]', '[7129, 7129, 48*w - 275]', '[7129, 7129, 48*w + 227]', '[7151, 7151, 370*w + 1639]', '[7151, 7151, -370*w + 2009]', '[7177, 7177, 26*w - 109]', '[7177, 7177, -26*w - 83]', '[7187, 7187, -204*w - 899]', '[7187, 7187, -204*w + 1103]', '[7211, 7211, -60*w + 313]', '[7211, 7211, 60*w + 253]', '[7213, 7213, 46*w - 233]', '[7213, 7213, 46*w + 187]', '[7243, 7243, -268*w - 1183]', '[7243, 7243, 268*w - 1451]', '[7253, 7253, 342*w - 1853]', '[7253, 7253, -342*w - 1511]', '[7283, 7283, 754*w + 3337]', '[7283, 7283, -754*w + 4091]', '[7297, 7297, -34*w - 127]', '[7297, 7297, -34*w + 161]', '[7307, 7307, -22*w - 127]', '[7307, 7307, 22*w - 149]', '[7369, 7369, -408*w + 2215]', '[7369, 7369, 408*w + 1807]', '[7433, 7433, 42*w - 209]', '[7433, 7433, -42*w - 167]', '[7451, 7451, 166*w - 905]', '[7451, 7451, 166*w + 739]', '[7457, 7457, -18*w - 11]', '[7457, 7457, 18*w - 29]', '[7477, 7477, -74*w + 391]', '[7477, 7477, -74*w - 317]', '[7481, 7481, 16*w - 125]', '[7481, 7481, -16*w - 109]', '[7487, 7487, 384*w - 2081]', '[7487, 7487, -384*w - 1697]', '[7517, 7517, -484*w + 2627]', '[7517, 7517, 484*w + 2143]', '[7523, 7523, -468*w + 2537]', '[7523, 7523, -468*w - 2069]', '[7541, 7541, 138*w - 743]', '[7541, 7541, 138*w + 605]', '[7577, 7577, -426*w - 1883]', '[7577, 7577, -426*w + 2309]', '[7591, 7591, -6*w - 89]', '[7591, 7591, 6*w - 95]', '[7639, 7639, -200*w + 1081]', '[7639, 7639, -200*w - 881]', '[7669, 7669, 108*w - 593]', '[7669, 7669, 108*w + 485]', '[7681, 7681, 264*w + 1171]', '[7681, 7681, -264*w + 1435]', '[7687, 7687, 54*w - 307]', '[7687, 7687, 54*w + 253]', '[7699, 7699, 78*w + 355]', '[7699, 7699, 78*w - 433]', '[7717, 7717, 134*w - 721]', '[7717, 7717, 134*w + 587]', '[7727, 7727, 24*w - 91]', '[7727, 7727, -24*w - 67]', '[7757, 7757, -18*w - 1]', '[7757, 7757, 18*w - 19]', '[7759, 7759, 30*w - 187]', '[7759, 7759, 30*w + 157]', '[7793, 7793, 18*w - 17]', '[7793, 7793, 18*w - 1]', '[7841, 7841, 18*w - 5]', '[7841, 7841, 18*w - 13]', '[7853, 7853, 18*w - 7]', '[7853, 7853, 18*w - 11]', '[7873, 7873, 96*w + 433]', '[7873, 7873, 96*w - 529]', '[7879, 7879, 90*w - 497]', '[7879, 7879, 90*w + 407]', '[7901, 7901, 30*w + 103]', '[7901, 7901, -30*w + 133]', '[7907, 7907, 62*w + 287]', '[7907, 7907, 62*w - 349]', '[7919, 7919, -264*w - 1165]', '[7919, 7919, 264*w - 1429]', '[7927, 7927, 56*w + 233]', '[7927, 7927, -56*w + 289]', '[7951, 7951, -990*w + 5371]', '[7951, 7951, 990*w + 4381]', '[7963, 7963, 6*w - 97]', '[7963, 7963, -6*w - 91]', '[8039, 8039, 24*w - 89]', '[8039, 8039, -24*w - 65]', '[8053, 8053, -214*w + 1157]', '[8053, 8053, -214*w - 943]', '[8059, 8059, -604*w + 3275]', '[8059, 8059, 604*w + 2671]', '[8069, 8069, -90*w + 479]', '[8069, 8069, -90*w - 389]', '[8087, 8087, 118*w - 647]', '[8087, 8087, 118*w + 529]', '[8101, 8101, 122*w + 533]', '[8101, 8101, 122*w - 655]', '[8117, 8117, 726*w + 3211]', '[8117, 8117, -726*w + 3937]', '[8123, 8123, 134*w + 599]', '[8123, 8123, 134*w - 733]', '[8147, 8147, -398*w + 2161]', '[8147, 8147, 398*w + 1763]', '[8179, 8179, -20*w - 29]', '[8179, 8179, 20*w - 49]', '[8191, 8191, -32*w + 145]', '[8191, 8191, 32*w + 113]', '[8209, 8209, 590*w + 2609]', '[8209, 8209, -590*w + 3199]', '[8221, 8221, -98*w - 425]', '[8221, 8221, 98*w - 523]', '[8233, 8233, -24*w - 137]', '[8233, 8233, 24*w - 161]', '[8237, 8237, 114*w - 611]', '[8237, 8237, -114*w - 497]', '[8243, 8243, -14*w - 107]', '[8243, 8243, 14*w - 121]', '[8263, 8263, -678*w + 3679]', '[8263, 8263, 678*w + 3001]', '[8269, 8269, 110*w - 589]', '[8269, 8269, -110*w - 479]', '[8293, 8293, 26*w - 103]', '[8293, 8293, -26*w - 77]', '[8311, 8311, -352*w - 1555]', '[8311, 8311, 352*w - 1907]', '[8317, 8317, 588*w + 2603]', '[8317, 8317, -588*w + 3191]', '[8353, 8353, 1056*w + 4673]', '[8353, 8353, -1056*w + 5729]', '[8369, 8369, -30*w - 101]', '[8369, 8369, -30*w + 131]', '[8377, 8377, 144*w - 787]', '[8377, 8377, 144*w + 643]', '[8389, 8389, -12*w - 103]', '[8389, 8389, 12*w - 115]', '[8423, 8423, 58*w - 329]', '[8423, 8423, 58*w + 271]', '[8431, 8431, -834*w + 4525]', '[8431, 8431, 834*w + 3691]', '[8443, 8443, 148*w + 649]', '[8443, 8443, 148*w - 797]', '[8447, 8447, 782*w + 3461]', '[8447, 8447, -782*w + 4243]', '[8461, 8461, 562*w + 2485]', '[8461, 8461, -562*w + 3047]', '[8501, 8501, 100*w + 451]', '[8501, 8501, 100*w - 551]', '[8527, 8527, 18*w - 137]', '[8527, 8527, -18*w - 119]', '[8537, 8537, 512*w + 2267]', '[8537, 8537, -512*w + 2779]', '[8539, 8539, 380*w - 2059]', '[8539, 8539, -380*w - 1679]', '[8563, 8563, 548*w + 2423]', '[8563, 8563, -548*w + 2971]', '[8597, 8597, 268*w + 1189]', '[8597, 8597, -268*w + 1457]', '[8609, 8609, 640*w + 2833]', '[8609, 8609, -640*w + 3473]', '[8627, 8627, -36*w - 133]', '[8627, 8627, -36*w + 169]', '[8629, 8629, 394*w - 2135]', '[8629, 8629, -394*w - 1741]', '[8641, 8641, 50*w + 203]', '[8641, 8641, 50*w - 253]', '[8669, 8669, 412*w + 1825]', '[8669, 8669, -412*w + 2237]', '[8677, 8677, 58*w + 241]', '[8677, 8677, -58*w + 299]', '[8681, 8681, 224*w - 1219]', '[8681, 8681, 224*w + 995]', '[8699, 8699, -84*w - 361]', '[8699, 8699, -84*w + 445]', '[8719, 8719, 520*w + 2299]', '[8719, 8719, -520*w + 2819]', '[8731, 8731, -6*w - 95]', '[8731, 8731, 6*w - 101]', '[8741, 8741, 164*w - 895]', '[8741, 8741, -164*w - 731]', '[8761, 8761, -422*w - 1865]', '[8761, 8761, -422*w + 2287]', '[8779, 8779, 138*w - 755]', '[8779, 8779, 138*w + 617]', '[8783, 8783, 48*w + 193]', '[8783, 8783, 48*w - 241]', '[8803, 8803, -436*w + 2363]', '[8803, 8803, -436*w - 1927]', '[8819, 8819, -684*w + 3709]', '[8819, 8819, 684*w + 3025]', '[8821, 8821, 22*w - 65]', '[8821, 8821, -22*w - 43]', '[8831, 8831, 34*w - 209]', '[8831, 8831, 34*w + 175]', '[8839, 8839, -464*w + 2515]', '[8839, 8839, -464*w - 2051]', '[8849, 8849, -1074*w - 4751]', '[8849, 8849, 1074*w - 5825]', '[8863, 8863, -88*w + 467]', '[8863, 8863, -88*w - 379]', '[8893, 8893, 204*w + 907]', '[8893, 8893, 204*w - 1111]', '[8923, 8923, 44*w - 217]', '[8923, 8923, -44*w - 173]', '[8933, 8933, 116*w - 637]', '[8933, 8933, 116*w + 521]', '[8951, 8951, 792*w + 3503]', '[8951, 8951, -792*w + 4295]', '[8971, 8971, 20*w - 37]', '[8971, 8971, -20*w - 17]', '[8999, 8999, 22*w - 155]', '[8999, 8999, -22*w - 133]', '[9013, 9013, 564*w + 2497]', '[9013, 9013, -564*w + 3061]', '[9029, 9029, 340*w + 1507]', '[9029, 9029, -340*w + 1847]', '[9043, 9043, 18*w - 139]', '[9043, 9043, -18*w - 121]', '[9091, 9091, -68*w + 355]', '[9091, 9091, 68*w + 287]', '[9109, 9109, -886*w + 4805]', '[9109, 9109, 886*w + 3919]', '[9127, 9127, 6*w - 103]', '[9127, 9127, -6*w - 97]', '[9151, 9151, 30*w - 191]', '[9151, 9151, 30*w + 161]', '[9161, 9161, 40*w + 199]', '[9161, 9161, 40*w - 239]', '[9199, 9199, 256*w - 1385]', '[9199, 9199, -256*w - 1129]', '[9203, 9203, 46*w - 269]', '[9203, 9203, 46*w + 223]', '[9209, 9209, 54*w + 221]', '[9209, 9209, 54*w - 275]', '[9221, 9221, 44*w + 215]', '[9221, 9221, 44*w - 259]', '[9227, 9227, -36*w - 131]', '[9227, 9227, -36*w + 167]', '[9239, 9239, -10*w - 103]', '[9239, 9239, 10*w - 113]', '[9277, 9277, -12*w - 107]', '[9277, 9277, 12*w - 119]', '[9281, 9281, -30*w - 97]', '[9281, 9281, 30*w - 127]', '[9311, 9311, 120*w - 643]', '[9311, 9311, -120*w - 523]', '[9323, 9323, 108*w - 577]', '[9323, 9323, -108*w - 469]', '[9337, 9337, -26*w - 71]', '[9337, 9337, 26*w - 97]', '[9343, 9343, -112*w - 487]', '[9343, 9343, 112*w - 599]', '[9377, 9377, 642*w + 2839]', '[9377, 9377, -642*w + 3481]', '[9391, 9391, 126*w - 691]', '[9391, 9391, 126*w + 565]', '[9397, 9397, 202*w + 889]', '[9397, 9397, -202*w + 1091]', '[9403, 9403, 52*w - 263]', '[9403, 9403, 52*w + 211]', '[9413, 9413, 4*w - 101]', '[9413, 9413, -4*w - 97]', '[9421, 9421, 60*w + 281]', '[9421, 9421, 60*w - 341]', '[9431, 9431, -72*w - 305]', '[9431, 9431, -72*w + 377]', '[9433, 9433, -22*w - 37]', '[9433, 9433, 22*w - 59]', '[9463, 9463, -872*w + 4729]', '[9463, 9463, 872*w + 3857]', '[9473, 9473, -8*w - 101]', '[9473, 9473, 8*w - 109]', '[9479, 9479, -24*w - 55]', '[9479, 9479, 24*w - 79]', '[9497, 9497, 1136*w + 5027]', '[9497, 9497, -1136*w + 6163]', '[9533, 9533, -66*w + 343]', '[9533, 9533, 66*w + 277]', '[9539, 9539, 180*w + 791]', '[9539, 9539, -180*w + 971]', '[9587, 9587, -178*w + 971]', '[9587, 9587, 178*w + 793]', '[9601, 9601, 120*w - 659]', '[9601, 9601, 120*w + 539]', '[9619, 9619, 20*w - 19]', '[9619, 9619, 20*w - 1]', '[9689, 9689, 208*w - 1133]', '[9689, 9689, 208*w + 925]', '[9697, 9697, -46*w - 181]', '[9697, 9697, 46*w - 227]', '[9733, 9733, 12*w - 121]', '[9733, 9733, -12*w - 109]', '[9743, 9743, -24*w - 53]', '[9743, 9743, 24*w - 77]', '[9749, 9749, 668*w + 2957]', '[9749, 9749, -668*w + 3625]', '[9781, 9781, 36*w + 185]', '[9781, 9781, 36*w - 221]', '[9791, 9791, -600*w + 3253]', '[9791, 9791, 600*w + 2653]', '[9803, 9803, 252*w + 1111]', '[9803, 9803, -252*w + 1363]', '[9829, 9829, 108*w + 487]', '[9829, 9829, 108*w - 595]', '[9833, 9833, 296*w + 1313]', '[9833, 9833, -296*w + 1609]', '[9851, 9851, 26*w - 175]', '[9851, 9851, -26*w - 149]', '[9859, 9859, 30*w - 193]', '[9859, 9859, 30*w + 163]', '[9883, 9883, -284*w - 1253]', '[9883, 9883, 284*w - 1537]', '[9929, 9929, -234*w - 1031]', '[9929, 9929, -234*w + 1265]', '[9941, 9941, -330*w - 1457]', '[9941, 9941, 330*w - 1787]', '[9967, 9967, 66*w + 307]', '[9967, 9967, 66*w - 373]', '[9973, 9973, -22*w - 31]', '[9973, 9973, 22*w - 53]']}
• 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': [-24, -1, 1], 'conductor': 97, 'degree': 2, 'dirichlet_group': [1, 96], 'disc_abs': 97, 'disc_rad': 97, 'disc_sign': 1, 'frobs': [[2, [[1, 2]]], [3, [[1, 2]]], [5, [[2, 1]]], [7, [[2, 1]]], [11, [[1, 2]]], [13, [[2, 1]]], [17, [[2, 1]]], [19, [[2, 1]]], [23, [[2, 1]]], [29, [[2, 1]]], [31, [[1, 2]]], [37, [[2, 1]]], [41, [[2, 1]]], [43, [[1, 2]]], [47, [[1, 2]]], [53, [[1, 2]]], [59, [[2, 1]]]], 'gal_is_abelian': True, 'gal_is_cyclic': True, 'gal_is_solvable': True, 'galois_disc_exponents': [1], 'galois_label': '2T1', 'galt': 1, 'grd': 9.848857801796104, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '2.2.97.1', 'local_algs': ['97.2.1.1'], 'monogenic': 1, 'num_ram': 1, 'r2': 0, 'ramps': [97], 'rd': 9.8488578018, 'regulator': {'__RealLiteral__': 0, 'data': '9.32438309598', 'prec': 44}, 'res': {}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( 1138 a + 5035 \\)'], 'used_grh': False, 'zk': ['1', 'a']}