Hilbert modular form data - 5.5.24217.1-83.1-d

Formats: - HTML - YAML - JSON - 2024-05-06T07:28:49.576549

• 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': 5, 'dimension': 5, 'disc': 24217, 'field_bad_primes': [61, 397], 'field_label': '5.5.24217.1', 'is_CM': 'no', 'is_base_change': 'no', 'label': '5.5.24217.1-83.1-d', 'label_nsuffix': 3, 'label_suffix': 'd', 'level_bad_primes': [83], 'level_ideal': '[83, 83, -2*w^4 + 9*w^2 + 2*w - 4]', 'level_label': '83.1', 'level_norm': 83, 'parallel_weight': 2, 'short_label': '83.1-d', 'weight': '[2, 2, 2, 2, 2]'}
• hmf_hecke •

  Column	Type
  AL_eigenvalues	jsonb
  hecke_eigenvalues	jsonb
  hecke_polynomial	text
  label	text

  
  {'AL_eigenvalues': [['[83, 83, -2*w^4 + 9*w^2 + 2*w - 4]', -1]], 'hecke_eigenvalues': ['e', '-1/4*e^4 - 1/2*e^3 + 19/4*e^2 + 7*e - 9', '1/4*e^4 + 1/4*e^3 - 5*e^2 - 4*e + 8', '1/4*e^4 + 1/2*e^3 - 19/4*e^2 - 7*e + 10', '-1/4*e^4 - 1/4*e^3 + 4*e^2 + 3*e', '-3/8*e^4 - 3/8*e^3 + 7*e^2 + 5*e - 10', '3/8*e^4 + 7/8*e^3 - 7*e^2 - 23/2*e + 12', '3/8*e^4 + 3/8*e^3 - 15/2*e^2 - 7/2*e + 12', '1/4*e^4 + 3/4*e^3 - 5*e^2 - 23/2*e + 12', '-3/8*e^4 - 3/8*e^3 + 15/2*e^2 + 9/2*e - 10', '1/4*e^4 + 1/4*e^3 - 4*e^2 - 3*e + 2', '1/4*e^4 + 1/2*e^3 - 19/4*e^2 - 9*e + 11', '-3/4*e^4 - 5/4*e^3 + 14*e^2 + 41/2*e - 22', '-1/4*e^4 - 1/4*e^3 + 7/2*e^2 + 7/2*e + 4', '1/4*e^4 - 17/4*e^2 + e + 8', '1/4*e^4 - 17/4*e^2 + e + 8', '-1/4*e^4 - 3/4*e^3 + 9/2*e^2 + 12*e - 2', 1, '1/4*e^4 + 3/4*e^3 - 9/2*e^2 - 13*e + 2', '3/8*e^4 + 7/8*e^3 - 7*e^2 - 31/2*e + 14', '-1/4*e^4 - e^3 + 17/4*e^2 + 14*e - 9', '1/4*e^4 + 1/4*e^3 - 5*e^2 - 4*e + 10', '-1/2*e^4 - 3/4*e^3 + 39/4*e^2 + 8*e - 18', '-1/4*e^4 - 1/2*e^3 + 19/4*e^2 + 8*e - 7', '3/4*e^3 + 3/4*e^2 - 12*e - 7', '3/4*e^4 + 3/4*e^3 - 29/2*e^2 - 23/2*e + 22', '-1/4*e^4 - 1/4*e^3 + 4*e^2 + 4*e + 4', '-1/2*e^3 + 13/2*e - 4', '-5/4*e^4 - 7/4*e^3 + 45/2*e^2 + 21*e - 28', '-7/8*e^4 - 7/8*e^3 + 33/2*e^2 + 23/2*e - 20', '-3/4*e^4 - 7/4*e^3 + 29/2*e^2 + 49/2*e - 30', '-1/2*e^4 - 3/2*e^3 + 10*e^2 + 21*e - 20', '1/4*e^4 + 1/4*e^3 - 4*e^2 - 3*e + 16', '1/4*e^4 - 1/4*e^3 - 9/2*e^2 + 6*e + 8', '1/2*e^4 - 19/2*e^2 + 16', '1/2*e^4 + e^3 - 17/2*e^2 - 13*e + 6', '-1/4*e^4 - 3/4*e^3 + 11/2*e^2 + 10*e - 18', '-1/2*e^4 - 1/4*e^3 + 37/4*e^2 + 3*e - 14', '-1/4*e^4 + 3/4*e^3 + 11/2*e^2 - 19/2*e - 16', '5/8*e^4 + 9/8*e^3 - 13*e^2 - 39/2*e + 30', '1/4*e^4 + 5/4*e^3 - 4*e^2 - 17*e + 8', '1/2*e^4 - 17/2*e^2 + e + 10', '3/8*e^4 + 3/8*e^3 - 15/2*e^2 - 9/2*e + 12', '1/4*e^3 + 5/4*e^2 - 4*e - 15', '-3/4*e^4 - 7/4*e^3 + 15*e^2 + 28*e - 36', '-1/2*e^3 - 3/2*e^2 + 10*e + 8', '7/8*e^4 + 7/8*e^3 - 33/2*e^2 - 31/2*e + 16', '-e^4 - 5/4*e^3 + 75/4*e^2 + 23*e - 28', '-1/2*e^4 - e^3 + 21/2*e^2 + 17*e - 20', '-e^4 - 5/4*e^3 + 75/4*e^2 + 18*e - 25', '3/4*e^4 + 7/4*e^3 - 15*e^2 - 30*e + 38', '3/4*e^4 + 5/4*e^3 - 31/2*e^2 - 18*e + 22', '-3/2*e^4 - 7/2*e^3 + 57/2*e^2 + 105/2*e - 50', '4*e + 2', '-e^4 - 7/4*e^3 + 81/4*e^2 + 27*e - 46', '-11/8*e^4 - 15/8*e^3 + 25*e^2 + 45/2*e - 40', '3/4*e^4 + 5/4*e^3 - 13*e^2 - 41/2*e + 12', '-1/2*e^4 + 19/2*e^2 - 3*e - 24', '-1/4*e^4 + 3/4*e^3 + 7*e^2 - 14*e - 22', '-e^4 - 3/2*e^3 + 33/2*e^2 + 19*e - 6', '-5/4*e^4 - 9/4*e^3 + 22*e^2 + 30*e - 28', '7/4*e^4 + 11/4*e^3 - 31*e^2 - 41*e + 44', '-1/4*e^4 + 21/4*e^2 - 5*e - 20', 'e^4 + 7/4*e^3 - 77/4*e^2 - 26*e + 21', '-5/4*e^4 - e^3 + 93/4*e^2 + 13*e - 37', '-1/4*e^4 + 17/4*e^2 + 2*e - 6', '9/4*e^4 + 7/2*e^3 - 163/4*e^2 - 50*e + 62', '5/4*e^4 + 3/2*e^3 - 87/4*e^2 - 18*e + 24', '-e^4 - 3/2*e^3 + 18*e^2 + 33/2*e - 14', '-e^3 - 2*e^2 + 16*e + 16', '7/4*e^4 + 9/4*e^3 - 63/2*e^2 - 32*e + 36', '-1/4*e^4 - 3/4*e^3 + 5*e^2 + 35/2*e - 12', '-e^4 - 3/2*e^3 + 37/2*e^2 + 18*e - 44', '1/4*e^3 - 11/4*e^2 - 2*e + 28', '3/8*e^4 + 3/8*e^3 - 11/2*e^2 - 9/2*e + 8', '5/4*e^4 + 7/4*e^3 - 49/2*e^2 - 23*e + 28', '1/4*e^4 + 3/2*e^3 - 19/4*e^2 - 23*e + 19', '-5/4*e^4 - 11/4*e^3 + 45/2*e^2 + 38*e - 20', '3/2*e^4 + 2*e^3 - 57/2*e^2 - 35*e + 56', '1/4*e^4 + 7/4*e^3 - 9/2*e^2 - 27*e + 2', '1/2*e^4 + e^3 - 17/2*e^2 - 18*e + 12', '1/2*e^4 + e^3 - 17/2*e^2 - 19*e + 20', '5/4*e^4 + 13/4*e^3 - 23*e^2 - 49*e + 38', '1/2*e^4 + 3/2*e^3 - 12*e^2 - 25*e + 38', '-3/2*e^4 - 9/4*e^3 + 109/4*e^2 + 29*e - 19', 'e^4 + 9/4*e^3 - 79/4*e^2 - 32*e + 53', '9/4*e^4 + 17/4*e^3 - 42*e^2 - 66*e + 74', '3/4*e^4 - 1/4*e^3 - 14*e^2 + 3*e + 28', '5/2*e^4 + 3*e^3 - 93/2*e^2 - 43*e + 68', '1/4*e^4 + 3/4*e^3 - 9/2*e^2 - 15*e - 14', 'e^4 - 19*e^2 - e + 34', '1/4*e^3 + 5/4*e^2 - 11*e - 8', '-1/2*e^4 - 3/2*e^3 + 7*e^2 + 20*e + 10', '-e^4 - 2*e^3 + 17*e^2 + 22*e - 10', '3/2*e^4 + 5/2*e^3 - 26*e^2 - 32*e + 34', '-5/4*e^4 - 3*e^3 + 89/4*e^2 + 37*e - 22', '-2*e^4 - 2*e^3 + 71/2*e^2 + 63/2*e - 28', '-3/4*e^4 - 3/4*e^3 + 16*e^2 + 9*e - 50', '3/4*e^4 + 7/4*e^3 - 14*e^2 - 31*e + 24', '1/2*e^4 - 3/4*e^3 - 45/4*e^2 + 7*e + 28', '3/2*e^2 + 13/2*e - 24', '2*e^4 + 4*e^3 - 37*e^2 - 59*e + 68', '1/4*e^3 + 5/4*e^2 - 7*e - 17', '2*e^4 + 7/2*e^3 - 75/2*e^2 - 50*e + 68', '-1/2*e^4 - e^3 + 13/2*e^2 + 17*e', '7/4*e^4 + 11/4*e^3 - 31*e^2 - 41*e + 28', '3/4*e^4 + 11/4*e^3 - 25/2*e^2 - 69/2*e + 10', 'e^4 + 3/4*e^3 - 77/4*e^2 - 11*e + 25', '9/4*e^4 + 17/4*e^3 - 41*e^2 - 65*e + 74', '1/2*e^4 - 21/2*e^2 + 50', '-e^4 - 3/4*e^3 + 81/4*e^2 + 8*e - 24', '-e^4 - 3/2*e^3 + 35/2*e^2 + 19*e - 20', '1/4*e^4 + 1/2*e^3 - 23/4*e^2 - 14*e + 45', 'e^2 - e + 6', '1/2*e^4 - e^3 - 25/2*e^2 + 15*e + 46', '9/4*e^4 + 19/4*e^3 - 42*e^2 - 153/2*e + 74', '-1/2*e^4 - 2*e^3 + 15/2*e^2 + 34*e - 4', '3/2*e^4 + 2*e^3 - 55/2*e^2 - 28*e + 66', '1/2*e^3 + e^2 - 11/2*e - 16', '-7/4*e^4 - 13/4*e^3 + 63/2*e^2 + 48*e - 38', '-5/4*e^4 - 3/4*e^3 + 49/2*e^2 + 6*e - 56', '3/4*e^4 + 13/4*e^3 - 13*e^2 - 99/2*e + 16', '3/2*e^4 + e^3 - 59/2*e^2 - 13*e + 36', '-e^4 - 3/4*e^3 + 81/4*e^2 + 17*e - 39', '-11/8*e^4 - 15/8*e^3 + 29*e^2 + 45/2*e - 62', '-7/4*e^4 - 9/4*e^3 + 73/2*e^2 + 32*e - 68', '-7/4*e^4 - 15/4*e^3 + 34*e^2 + 59*e - 62', '-1/2*e^4 + 11*e^2 - 3/2*e - 24', '-1/2*e^4 - 1/2*e^3 + 11*e^2 + 11*e - 32', '3/4*e^4 + 5/4*e^3 - 25/2*e^2 - 13*e + 30', '-e^4 - 3/4*e^3 + 77/4*e^2 + 3*e - 26', '3/4*e^4 + 7/4*e^3 - 25/2*e^2 - 39/2*e + 10', '-7/4*e^4 - 3*e^3 + 135/4*e^2 + 51*e - 61', 'e^4 + 3*e^3 - 16*e^2 - 49*e + 12', '-3/8*e^4 - 7/8*e^3 + 4*e^2 + 9/2*e + 36', '-7/4*e^4 - 2*e^3 + 127/4*e^2 + 25*e - 45', '1/2*e^4 + 3/2*e^3 - 7*e^2 - 15*e - 32', '1/2*e^4 + e^3 - 21/2*e^2 - 11*e + 22', '-1/2*e^3 + 5/2*e^2 + 13*e - 24', '-13/8*e^4 - 25/8*e^3 + 31*e^2 + 85/2*e - 30', '2*e^4 + 7/4*e^3 - 145/4*e^2 - 27*e + 50', '-17/8*e^4 - 33/8*e^3 + 79/2*e^2 + 121/2*e - 58', '-3/2*e^4 - 2*e^3 + 53/2*e^2 + 19*e - 36', '5/4*e^4 + 7/4*e^3 - 45/2*e^2 - 24*e + 24', '3/4*e^4 + 1/4*e^3 - 14*e^2 + 1/2*e + 12', '11/4*e^4 + 4*e^3 - 211/4*e^2 - 56*e + 70', '-1/4*e^4 + 1/4*e^3 + 11/2*e^2 + e - 8', '-1/2*e^4 - e^3 + 25/2*e^2 + 13*e - 54', '3/2*e^3 + 2*e^2 - 49/2*e - 10', '-2*e^4 - 4*e^3 + 37*e^2 + 56*e - 60', '-5/4*e^4 - 7/4*e^3 + 51/2*e^2 + 22*e - 60', '-5/2*e^4 - 9/2*e^3 + 47*e^2 + 61*e - 78', '-3*e^4 - 4*e^3 + 56*e^2 + 57*e - 80', '-11/4*e^4 - 21/4*e^3 + 105/2*e^2 + 73*e - 84', '3/4*e^4 + 11/4*e^3 - 17*e^2 - 43*e + 48', '-3/2*e^4 - 5/2*e^3 + 27*e^2 + 30*e - 52', '-3/4*e^4 - 5/4*e^3 + 13*e^2 + 59/2*e', '3/4*e^4 + 1/2*e^3 - 57/4*e^2 - 13*e - 2', '-9/4*e^4 - 9/4*e^3 + 79/2*e^2 + 51/2*e - 54', '9/4*e^4 + 13/4*e^3 - 43*e^2 - 43*e + 44', '-11/4*e^4 - 13/4*e^3 + 97/2*e^2 + 45*e - 68', '2*e^4 + 3*e^3 - 36*e^2 - 35*e + 54', '-9/8*e^4 - 21/8*e^3 + 19*e^2 + 91/2*e - 14', '7/4*e^3 - 5/4*e^2 - 20*e + 21', '5/8*e^4 + 5/8*e^3 - 29/2*e^2 - 23/2*e + 44', '-9/4*e^4 - 19/4*e^3 + 83/2*e^2 + 64*e - 80', '-3/2*e^4 - 3/2*e^3 + 29*e^2 + 21*e - 50', '-7/4*e^4 - 13/4*e^3 + 65/2*e^2 + 60*e - 36', '1/2*e^4 + 1/2*e^3 - 10*e^2 - 14*e + 24', '-5/4*e^4 - 13/4*e^3 + 45/2*e^2 + 97/2*e - 42', '-1/2*e^4 - e^3 + 11/2*e^2 + 12*e + 28', '3/2*e^4 + 7/2*e^3 - 28*e^2 - 42*e + 50'], 'hecke_polynomial': 'x^5 + x^4 - 20*x^3 - 12*x^2 + 48*x - 16', 'label': '5.5.24217.1-83.1-d'}
• hmf_fields •

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

  
  {'degree': 5, 'discriminant': 24217, 'ideals': ['[1, 1, 1]', '[5, 5, -2*w^4 + w^3 + 9*w^2 - 2*w - 3]', '[17, 17, -2*w^4 + w^3 + 9*w^2 - 3*w - 5]', '[17, 17, w^2 - 2]', '[23, 23, w^3 - 3*w]', '[25, 25, 2*w^4 - w^3 - 10*w^2 + 2*w + 7]', '[29, 29, 2*w^4 - w^3 - 10*w^2 + 2*w + 4]', '[32, 2, 2]', '[37, 37, -w^4 + w^3 + 4*w^2 - 2*w]', '[41, 41, -3*w^4 + 2*w^3 + 14*w^2 - 5*w - 7]', '[43, 43, -3*w^4 + w^3 + 14*w^2 - 3*w - 6]', '[47, 47, -3*w^4 + 2*w^3 + 14*w^2 - 7*w - 6]', '[53, 53, 2*w^4 - w^3 - 8*w^2 + 2*w + 1]', '[53, 53, -2*w^4 + w^3 + 10*w^2 - 4*w - 6]', '[59, 59, -w^4 + 4*w^2 + 1]', '[59, 59, -3*w^4 + 2*w^3 + 14*w^2 - 6*w - 8]', '[61, 61, 4*w^4 - 2*w^3 - 18*w^2 + 5*w + 7]', '[61, 61, 3*w^4 - w^3 - 15*w^2 + 2*w + 7]', '[73, 73, -4*w^4 + 2*w^3 + 18*w^2 - 7*w - 6]', '[83, 83, -2*w^4 + 9*w^2 + 2*w - 4]', '[83, 83, -2*w^4 + 2*w^3 + 10*w^2 - 7*w - 6]', '[85, 85, 3*w^4 - w^3 - 14*w^2 + 3*w + 5]', '[85, 85, w^4 - 5*w^2 - 2*w + 3]', '[97, 97, -2*w^4 + w^3 + 8*w^2 - 3*w + 1]', '[97, 97, -w^3 + w^2 + 4*w - 1]', '[101, 101, 2*w^4 - 9*w^2 - w + 5]', '[103, 103, 2*w^4 - 2*w^3 - 9*w^2 + 8*w + 2]', '[107, 107, -3*w^4 + w^3 + 15*w^2 - 4*w - 8]', '[109, 109, -3*w^4 + w^3 + 13*w^2 - 2*w - 4]', '[113, 113, 4*w^4 - 3*w^3 - 18*w^2 + 8*w + 8]', '[115, 115, -2*w^4 + 2*w^3 + 10*w^2 - 7*w - 5]', '[121, 11, -w^4 - w^3 + 5*w^2 + 4*w - 2]', '[125, 125, -2*w^4 + 2*w^3 + 9*w^2 - 5*w - 5]', '[131, 131, -4*w^4 + w^3 + 18*w^2 - 5]', '[139, 139, 2*w^3 - w^2 - 8*w + 1]', '[139, 139, -2*w^4 + w^3 + 9*w^2 - 3]', '[145, 145, w^4 - w^3 - 4*w^2 + 2*w - 1]', '[149, 149, 5*w^4 - 2*w^3 - 23*w^2 + 4*w + 11]', '[149, 149, w^4 - 4*w^2 - 3]', '[149, 149, 4*w^4 - 3*w^3 - 19*w^2 + 10*w + 8]', '[151, 151, 2*w^4 - w^3 - 9*w^2 + 5*w + 4]', '[157, 157, -2*w^4 - w^3 + 10*w^2 + 5*w - 4]', '[157, 157, 5*w^4 - 3*w^3 - 24*w^2 + 8*w + 13]', '[160, 10, -4*w^4 + 2*w^3 + 18*w^2 - 4*w - 6]', '[163, 163, -2*w^4 + 11*w^2 + w - 7]', '[167, 167, w^4 - 3*w^2 - 2*w - 3]', '[167, 167, -3*w^4 + 3*w^3 + 14*w^2 - 10*w - 9]', '[169, 13, 3*w^4 - 2*w^3 - 14*w^2 + 6*w + 3]', '[185, 185, 2*w^4 - 2*w^3 - 9*w^2 + 7*w + 6]', '[191, 191, -3*w^4 + w^3 + 15*w^2 - w - 6]', '[193, 193, 3*w^4 - 2*w^3 - 14*w^2 + 4*w + 5]', '[199, 199, -5*w^4 + 2*w^3 + 23*w^2 - 3*w - 10]', '[205, 205, -w^4 - w^3 + 5*w^2 + 3*w - 2]', '[215, 215, -w^4 + w^3 + 3*w^2 - 3*w + 2]', '[223, 223, -4*w^4 + w^3 + 20*w^2 - w - 9]', '[223, 223, -w^4 + 3*w^2 + 2]', '[233, 233, w^3 - 4*w - 4]', '[235, 235, 4*w^4 - 4*w^3 - 17*w^2 + 13*w + 5]', '[241, 241, -3*w^4 + 2*w^3 + 15*w^2 - 7*w - 7]', '[243, 3, -3]', '[251, 251, -3*w^4 + 3*w^3 + 13*w^2 - 8*w - 6]', '[257, 257, -4*w^4 + w^3 + 20*w^2 - 2*w - 9]', '[257, 257, -3*w^4 + 2*w^3 + 15*w^2 - 5*w - 11]', '[265, 265, -w^4 - w^3 + 6*w^2 + 4*w - 3]', '[265, 265, 5*w^4 - 2*w^3 - 23*w^2 + 6*w + 6]', '[269, 269, 2*w^4 - 11*w^2 - w + 6]', '[271, 271, w^4 + w^3 - 5*w^2 - 6*w + 2]', '[271, 271, 3*w^4 - w^3 - 15*w^2 + 8]', '[277, 277, -w^4 - w^3 + 6*w^2 + 3*w - 5]', '[283, 283, -5*w^4 + 3*w^3 + 23*w^2 - 10*w - 10]', '[289, 17, -3*w^4 + w^3 + 14*w^2 - 4]', '[289, 289, -w^4 + 4*w^2 - w + 1]', '[289, 289, -2*w^3 + 7*w + 1]', '[293, 293, -w^4 + w^3 + 6*w^2 - 3*w - 8]', '[295, 295, w^4 + w^3 - 5*w^2 - 6*w + 3]', '[295, 295, -5*w^4 + 2*w^3 + 22*w^2 - 4*w - 6]', '[305, 305, -w^4 + 6*w^2 - w - 6]', '[305, 305, 3*w^4 - 2*w^3 - 13*w^2 + 7*w + 1]', '[307, 307, -w^4 - w^3 + 6*w^2 + 4*w - 2]', '[311, 311, -w^3 + 2*w^2 + 3*w - 2]', '[311, 311, 2*w^4 - w^3 - 10*w^2 + 5*w + 7]', '[313, 313, -5*w^4 + 4*w^3 + 23*w^2 - 12*w - 11]', '[313, 313, -w^4 - w^3 + 5*w^2 + 3*w - 3]', '[347, 347, -w^4 + 2*w^3 + 3*w^2 - 7*w + 1]', '[353, 353, -3*w^4 + 14*w^2 + 3*w - 7]', '[353, 353, -3*w^4 + 3*w^3 + 13*w^2 - 9*w - 7]', '[365, 365, -7*w^4 + 5*w^3 + 30*w^2 - 15*w - 8]', '[367, 367, -w^4 + w^3 + 5*w^2 - 6*w - 4]', '[367, 367, -3*w^4 + w^3 + 15*w^2 - 3*w - 5]', '[379, 379, 5*w^4 - 2*w^3 - 23*w^2 + 6*w + 9]', '[383, 383, 4*w^4 - 2*w^3 - 19*w^2 + 7*w + 11]', '[391, 391, -w^4 + 5*w^2 - 6]', '[391, 391, w^4 + w^3 - 4*w^2 - 6*w + 1]', '[397, 397, w^4 - 3*w^2 - w - 3]', '[397, 397, -2*w^3 + w^2 + 8*w]', '[401, 401, 2*w^4 - 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6*w - 9]', '[827, 827, -8*w^4 + 5*w^3 + 37*w^2 - 16*w - 17]', '[835, 835, 3*w^3 - 14*w - 1]', '[835, 835, 6*w^4 - w^3 - 28*w^2 + w + 7]', '[839, 839, 2*w^4 - 10*w^2 + w + 8]', '[841, 841, -4*w^4 + 3*w^3 + 19*w^2 - 11*w - 10]', '[845, 65, 9*w^4 - 6*w^3 - 40*w^2 + 16*w + 12]', '[851, 851, -4*w^4 + w^3 + 20*w^2 - 2*w - 8]', '[853, 853, 2*w^4 - 2*w^3 - 11*w^2 + 7*w + 7]', '[857, 857, 5*w^4 - 2*w^3 - 24*w^2 + 7*w + 14]', '[877, 877, -w^4 + 2*w^3 + 5*w^2 - 10*w - 6]', '[883, 883, 3*w^4 - 3*w^3 - 15*w^2 + 12*w + 10]', '[887, 887, -4*w^4 + w^3 + 17*w^2 - w - 7]', '[901, 901, 2*w^4 - 2*w^3 - 11*w^2 + 7*w + 6]', '[901, 901, -2*w^4 + w^3 + 10*w^2 - 3*w - 1]', '[901, 901, -4*w^4 + w^3 + 20*w^2 - 4*w - 13]', '[901, 901, -4*w^4 + 3*w^3 + 19*w^2 - 7*w - 11]', '[907, 907, 2*w^4 - 11*w^2 - w + 2]', '[907, 907, -2*w^4 - w^3 + 10*w^2 + 4*w - 5]', '[911, 911, -9*w^4 + 4*w^3 + 43*w^2 - 9*w - 19]', '[919, 919, 4*w^4 - w^3 - 20*w^2 + w + 8]', '[925, 925, w^4 - 7*w^2 + 7]', '[928, 58, 4*w^4 - 2*w^3 - 20*w^2 + 4*w + 8]', '[937, 937, w^4 - 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8*w - 9]', '[1009, 1009, 2*w^4 + w^3 - 11*w^2 - 5*w + 3]', '[1013, 1013, 7*w^4 - 4*w^3 - 33*w^2 + 9*w + 18]', '[1019, 1019, 8*w^4 - 3*w^3 - 36*w^2 + 5*w + 12]', '[1019, 1019, w^4 - 3*w^3 - 3*w^2 + 12*w - 1]', '[1019, 1019, -3*w^4 + w^3 + 13*w^2 - 3*w + 1]', '[1021, 1021, 8*w^4 - 4*w^3 - 37*w^2 + 10*w + 19]', '[1024, 4, 4]', '[1025, 1025, 2*w^4 - 2*w^3 - 11*w^2 + 8*w + 7]', '[1031, 1031, -3*w^4 + 4*w^3 + 14*w^2 - 12*w - 7]', '[1033, 1033, -3*w^4 + 3*w^3 + 12*w^2 - 11*w - 3]', '[1037, 1037, -6*w^4 + 2*w^3 + 31*w^2 - 3*w - 17]', '[1037, 1037, -6*w^4 + 2*w^3 + 27*w^2 - 4*w - 13]', '[1037, 1037, -3*w^4 + 14*w^2 + 2*w - 9]', '[1037, 1037, -6*w^4 + 3*w^3 + 29*w^2 - 8*w - 12]', '[1051, 1051, -3*w^4 + 2*w^3 + 13*w^2 - 2*w - 4]', '[1061, 1061, 3*w^4 - 3*w^3 - 16*w^2 + 10*w + 12]', '[1061, 1061, -7*w^4 + 4*w^3 + 34*w^2 - 13*w - 16]', '[1063, 1063, 4*w^4 - 3*w^3 - 17*w^2 + 7*w + 3]', '[1063, 1063, 4*w^4 - w^3 - 18*w^2 + 4*w + 5]', '[1073, 1073, -4*w^4 + 20*w^2 + w - 11]', '[1075, 1075, 4*w^4 - w^3 - 17*w^2 + w + 5]', '[1081, 1081, 6*w^4 - 3*w^3 - 26*w^2 + 8*w + 8]', '[1087, 1087, -4*w^4 + w^3 + 18*w^2 - 4*w - 6]', '[1091, 1091, 6*w^4 - 3*w^3 - 28*w^2 + 8*w + 8]', '[1091, 1091, 5*w^4 - 2*w^3 - 24*w^2 + 6*w + 7]', '[1091, 1091, -5*w^4 + w^3 + 22*w^2 - w - 7]', '[1093, 1093, 3*w^4 - 2*w^3 - 15*w^2 + 4*w + 11]', '[1097, 1097, -3*w^4 + 4*w^3 + 15*w^2 - 14*w - 9]', '[1109, 1109, 5*w^4 - 2*w^3 - 25*w^2 + 3*w + 11]', '[1115, 1115, 2*w^4 - w^3 - 11*w^2 + 5*w + 10]', '[1115, 1115, -6*w^4 + 2*w^3 + 27*w^2 - 5*w - 8]', '[1123, 1123, -3*w^4 + 2*w^3 + 12*w^2 - 6*w - 6]', '[1129, 1129, -4*w^4 + 20*w^2 + w - 12]', '[1129, 1129, -3*w^4 + 16*w^2 - 12]', '[1153, 1153, 8*w^4 - 4*w^3 - 36*w^2 + 11*w + 15]', '[1165, 1165, 5*w^4 - w^3 - 22*w^2 - 2*w + 5]', '[1171, 1171, 5*w^4 - 2*w^3 - 22*w^2 + 4*w + 9]', '[1175, 1175, 7*w^4 - 4*w^3 - 34*w^2 + 12*w + 17]', '[1181, 1181, 7*w^4 - 4*w^3 - 33*w^2 + 11*w + 12]', '[1181, 1181, -w^4 + 2*w^3 + 6*w^2 - 5*w - 7]', '[1184, 74, -2*w^4 + 2*w^3 + 8*w^2 - 4*w]', '[1187, 1187, -2*w^4 + w^3 + 10*w^2 - 6*w - 6]', '[1189, 1189, -2*w^4 + w^3 + 9*w^2 - 2*w + 1]', '[1193, 1193, w^4 + w^3 - 5*w^2 - 6*w + 6]', '[1193, 1193, -6*w^4 + 2*w^3 + 27*w^2 - 2*w - 8]', '[1193, 1193, -4*w^4 + 2*w^3 + 20*w^2 - 6*w - 7]', '[1205, 1205, -3*w^4 + 4*w^3 + 12*w^2 - 12*w - 3]', '[1215, 15, 6*w^4 - 3*w^3 - 27*w^2 + 6*w + 9]', '[1219, 1219, 4*w^4 - w^3 - 17*w^2 + w + 6]', '[1219, 1219, 2*w^4 - 2*w^3 - 9*w^2 + 10*w + 4]', '[1223, 1223, 3*w^4 - 3*w^3 - 12*w^2 + 11*w + 4]', '[1229, 1229, -7*w^4 + 5*w^3 + 33*w^2 - 14*w - 15]', '[1229, 1229, -6*w^4 + 3*w^3 + 28*w^2 - 7*w - 8]', '[1229, 1229, -w^4 + 3*w^3 + 4*w^2 - 10*w - 2]', '[1241, 1241, 6*w^4 - 5*w^3 - 28*w^2 + 12*w + 10]', '[1241, 1241, -w^4 + 3*w^3 + 5*w^2 - 7*w]', '[1247, 1247, -2*w^4 + 3*w^3 + 10*w^2 - 9*w - 8]', '[1249, 1249, -2*w^4 - w^3 + 10*w^2 + 7*w - 5]', '[1255, 1255, -3*w^4 + 3*w^3 + 15*w^2 - 13*w - 5]', '[1259, 1259, 6*w^4 - 3*w^3 - 28*w^2 + 10*w + 14]', '[1259, 1259, -w^4 - 2*w^3 + 4*w^2 + 10*w]', '[1259, 1259, -6*w^4 + w^3 + 28*w^2 - w - 11]', '[1277, 1277, -6*w^4 + w^3 + 29*w^2 - 11]', '[1277, 1277, 5*w^4 - 5*w^3 - 23*w^2 + 16*w + 12]', '[1277, 1277, 5*w^4 - 2*w^3 - 24*w^2 + 2*w + 10]', '[1279, 1279, 5*w^4 - 3*w^3 - 24*w^2 + 11*w + 11]', '[1279, 1279, -3*w^4 + w^3 + 12*w^2 - 3*w + 1]', '[1283, 1283, 4*w^4 - 2*w^3 - 18*w^2 + 2*w + 7]', '[1283, 1283, 3*w^4 - 15*w^2 - 2*w + 3]', '[1283, 1283, -7*w^4 + 2*w^3 + 34*w^2 - 3*w - 15]', '[1285, 1285, w^4 - 2*w^3 - 3*w^2 + 8*w + 1]', '[1285, 1285, w^4 - 7*w^2 + 2*w + 8]', '[1289, 1289, 2*w^4 + w^3 - 10*w^2 - 7*w + 6]', '[1291, 1291, w^4 + w^3 - 4*w^2 - 2*w - 2]', '[1312, 82, -6*w^4 + 4*w^3 + 28*w^2 - 10*w - 14]', '[1321, 1321, 6*w^4 - 3*w^3 - 27*w^2 + 6*w + 8]', '[1321, 1321, -3*w^4 + 3*w^3 + 14*w^2 - 7*w - 9]', '[1325, 1325, w^4 - w^3 - 3*w^2 + w - 3]', '[1325, 1325, 9*w^4 - 4*w^3 - 45*w^2 + 11*w + 26]', '[1327, 1327, -2*w^4 + 8*w^2 + 2*w - 5]', '[1331, 11, -2*w^4 + 2*w^3 + 11*w^2 - 5*w - 10]', '[1345, 1345, -4*w^4 + 2*w^3 + 20*w^2 - 8*w - 11]', '[1355, 1355, -5*w^4 + 5*w^3 + 23*w^2 - 17*w - 13]', '[1355, 1355, -5*w^4 + 3*w^3 + 23*w^2 - 9*w - 13]', '[1357, 1357, -5*w^4 + w^3 + 23*w^2 - 2*w - 8]', '[1357, 1357, -w^4 + 2*w^3 + 3*w^2 - 9*w - 2]', '[1361, 1361, -7*w^4 + 3*w^3 + 34*w^2 - 6*w - 15]', '[1363, 1363, -2*w^4 + 2*w^3 + 8*w^2 - 9*w - 1]', '[1367, 1367, 3*w^4 + w^3 - 13*w^2 - 6*w + 4]', '[1369, 1369, -w^4 + 6*w^2 - w - 8]', '[1373, 1373, 6*w^4 - 2*w^3 - 27*w^2 + 2*w + 7]', '[1373, 1373, 6*w^4 - 3*w^3 - 28*w^2 + 6*w + 10]', '[1376, 86, -6*w^4 + 2*w^3 + 28*w^2 - 6*w - 12]', '[1385, 1385, -5*w^4 + 5*w^3 + 21*w^2 - 15*w - 9]', '[1399, 1399, 3*w^4 - w^3 - 14*w^2 + 2*w + 1]', '[1403, 1403, 5*w^4 - 3*w^3 - 23*w^2 + 11*w + 10]', '[1403, 1403, 3*w^4 - 3*w^3 - 15*w^2 + 7*w + 9]', '[1411, 1411, w^4 - w^3 - 7*w^2 + 3*w + 8]', '[1411, 1411, -5*w^4 + 4*w^3 + 24*w^2 - 11*w - 12]', '[1411, 1411, -2*w^4 + 10*w^2 - w - 9]', '[1411, 1411, 4*w^4 - 3*w^3 - 18*w^2 + 10*w + 10]', '[1415, 1415, -5*w^4 + 5*w^3 + 21*w^2 - 17*w - 5]', '[1427, 1427, 7*w^4 - 2*w^3 - 32*w^2 + 4*w + 11]', '[1429, 1429, 3*w^4 - 3*w^3 - 13*w^2 + 12*w + 3]', '[1429, 1429, -w^4 + w^3 + 7*w^2 - 4*w - 10]', '[1445, 85, -2*w^4 - w^3 + 10*w^2 + 3*w - 6]', '[1445, 1445, -5*w^4 + 3*w^3 + 23*w^2 - 6*w - 9]', '[1445, 1445, -6*w^4 + 3*w^3 + 26*w^2 - 7*w - 8]', '[1447, 1447, -6*w^4 + 4*w^3 + 29*w^2 - 10*w - 15]', '[1451, 1451, 5*w^4 - 4*w^3 - 23*w^2 + 14*w + 13]', '[1451, 1451, 3*w^4 - 3*w^3 - 14*w^2 + 11*w + 11]', '[1459, 1459, 6*w^4 - 2*w^3 - 27*w^2 + 6*w + 10]', '[1459, 1459, 2*w^4 - w^3 - 12*w^2 + 4*w + 10]', '[1465, 1465, 9*w^4 - 3*w^3 - 41*w^2 + 5*w + 14]', '[1471, 1471, -3*w^4 + w^3 + 16*w^2 - 3*w - 6]', '[1475, 1475, 2*w^4 - w^3 - 10*w^2 + 3*w + 10]', '[1475, 1475, -12*w^4 + 6*w^3 + 58*w^2 - 15*w - 33]', '[1481, 1481, -7*w^4 + 5*w^3 + 32*w^2 - 16*w - 15]', '[1483, 1483, -4*w^4 + 2*w^3 + 20*w^2 - 8*w - 13]', '[1487, 1487, 5*w^4 - w^3 - 22*w^2 + 7]', '[1487, 1487, 4*w^4 - 3*w^3 - 20*w^2 + 10*w + 9]', '[1504, 94, -6*w^4 + 4*w^3 + 28*w^2 - 14*w - 12]', '[1511, 1511, -6*w^4 + 4*w^3 + 28*w^2 - 10*w - 15]', '[1517, 1517, 6*w^4 - 2*w^3 - 27*w^2 + 4*w + 12]', '[1523, 1523, -6*w^4 + 4*w^3 + 29*w^2 - 13*w - 12]', '[1523, 1523, -4*w^4 + 18*w^2 + w - 4]', '[1523, 1523, -2*w^4 - 2*w^3 + 10*w^2 + 9*w - 4]', '[1525, 1525, 13*w^4 - 4*w^3 - 63*w^2 + 9*w + 33]', '[1525, 1525, 11*w^4 - 5*w^3 - 52*w^2 + 11*w + 25]', '[1531, 1531, 6*w^4 - 2*w^3 - 30*w^2 + 5*w + 14]', '[1535, 1535, 2*w^4 - 2*w^3 - 11*w^2 + 10*w + 8]', '[1537, 1537, 3*w^4 - w^3 - 15*w^2 - w + 8]', '[1537, 1537, -5*w^4 + 2*w^3 + 21*w^2 - 5*w - 6]', '[1555, 1555, -2*w^4 - w^3 + 11*w^2 + 5*w - 4]', '[1555, 1555, 4*w^4 - 2*w^3 - 20*w^2 + 9*w + 9]', '[1565, 1565, -4*w^4 + 5*w^3 + 18*w^2 - 19*w - 5]', '[1565, 1565, 4*w^4 - 3*w^3 - 20*w^2 + 10*w + 10]', '[1579, 1579, 2*w^4 - 7*w^2 - w - 3]', '[1579, 1579, -6*w^4 + 2*w^3 + 27*w^2 - 3*w - 11]', '[1579, 1579, 5*w^4 - w^3 - 22*w^2 + 8]', '[1591, 1591, -w^4 - w^3 + 3*w^2 + 7*w]', '[1597, 1597, 7*w^4 - 3*w^3 - 33*w^2 + 7*w + 12]', '[1601, 1601, w^4 - 6*w^2 + w + 9]', '[1607, 1607, -6*w^4 + 3*w^3 + 26*w^2 - 8*w - 9]', '[1609, 1609, -6*w^4 + w^3 + 29*w^2 - 2*w - 13]', '[1609, 1609, 4*w^4 - 3*w^3 - 17*w^2 + 9*w + 8]', '[1627, 1627, -2*w^4 + w^3 + 11*w^2 - w - 10]', '[1649, 1649, 5*w^4 - 2*w^3 - 25*w^2 + 4*w + 11]', '[1649, 1649, w^4 + w^3 - 4*w^2 - 5*w + 3]', '[1649, 1649, -7*w^4 + 5*w^3 + 34*w^2 - 14*w - 18]', '[1649, 1649, 2*w^4 - 2*w^3 - 8*w^2 + 5*w - 3]', '[1657, 1657, w^4 - 2*w^3 - 5*w^2 + 9*w]', '[1667, 1667, 6*w^4 - 3*w^3 - 27*w^2 + 8*w + 14]', '[1669, 1669, 5*w^4 - 3*w^3 - 23*w^2 + 11*w + 12]', '[1679, 1679, -7*w^4 + 4*w^3 + 29*w^2 - 14*w - 10]', '[1681, 1681, 2*w^4 + w^3 - 8*w^2 - 6*w + 2]', '[1696, 106, 4*w^4 - 2*w^3 - 16*w^2 + 4*w + 2]', '[1696, 106, -4*w^4 + 2*w^3 + 20*w^2 - 8*w - 12]', '[1697, 1697, 2*w^2 - 2*w - 7]', '[1697, 1697, -w^4 - w^3 + 7*w^2 + 4*w - 5]', '[1699, 1699, w^2 + 2*w - 5]', '[1699, 1699, -7*w^4 + 5*w^3 + 32*w^2 - 13*w - 14]', '[1711, 1711, 5*w^4 - w^3 - 22*w^2 + 3*w + 7]', '[1711, 1711, -3*w^4 + 16*w^2 + 3*w - 9]', '[1717, 1717, -w^4 - w^3 + 3*w^2 + 3*w + 4]', '[1717, 1717, -5*w^4 + 3*w^3 + 23*w^2 - 6*w - 8]', '[1735, 1735, -9*w^4 + 6*w^3 + 42*w^2 - 20*w - 17]', '[1739, 1739, 8*w^4 - 6*w^3 - 35*w^2 + 18*w + 13]', '[1741, 1741, -3*w^4 + 15*w^2 + 4*w - 8]', '[1751, 1751, 7*w^4 - 4*w^3 - 32*w^2 + 9*w + 13]', '[1751, 1751, -3*w^4 + 4*w^3 + 12*w^2 - 12*w - 2]', '[1759, 1759, 3*w^4 - 3*w^3 - 13*w^2 + 9*w + 9]', '[1759, 1759, -w^4 + 3*w^3 + 4*w^2 - 9*w - 2]', '[1759, 1759, -6*w^4 + 4*w^3 + 29*w^2 - 14*w - 15]', '[1763, 1763, 2*w^4 - w^3 - 8*w^2 + 4*w - 2]', '[1765, 1765, 6*w^4 - 5*w^3 - 28*w^2 + 15*w + 16]', '[1765, 1765, -2*w^4 + 3*w^3 + 10*w^2 - 14*w - 4]', '[1769, 1769, 4*w^4 - w^3 - 18*w^2 + 3*w + 12]', '[1769, 1769, -w^4 + w^3 + 2*w^2 - 4*w + 4]', '[1777, 1777, 2*w^4 + w^3 - 10*w^2 - 6*w + 8]', '[1783, 1783, 4*w^4 - 2*w^3 - 19*w^2 + 8*w + 10]', '[1783, 1783, 2*w^4 - w^3 - 7*w^2 + 2*w - 2]', '[1789, 1789, -w^4 - w^3 + 5*w^2 + 7*w - 2]', '[1801, 1801, w^4 + 2*w^3 - 6*w^2 - 6*w + 2]', '[1819, 1819, 6*w^4 - 4*w^3 - 28*w^2 + 8*w + 15]', '[1819, 1819, 6*w^4 - w^3 - 30*w^2 + 4*w + 18]', '[1825, 1825, -7*w^4 + 4*w^3 + 34*w^2 - 11*w - 14]', '[1835, 1835, -w^4 + 3*w^3 + 3*w^2 - 11*w - 3]', '[1835, 1835, -2*w^4 + 4*w^3 + 7*w^2 - 14*w]', '[1849, 1849, 4*w^4 - 3*w^3 - 18*w^2 + 9*w + 11]', '[1853, 1853, 2*w^4 + w^3 - 8*w^2 - 4*w + 4]', '[1853, 1853, 4*w^4 - 2*w^3 - 20*w^2 + 4*w + 7]', '[1861, 1861, 7*w^4 - 2*w^3 - 32*w^2 + 3*w + 14]', '[1861, 1861, 3*w^4 - w^3 - 16*w^2 + 2*w + 6]', '[1861, 1861, 3*w^4 - 3*w^3 - 16*w^2 + 11*w + 12]', '[1871, 1871, -w^4 - 2*w^3 + 6*w^2 + 7*w - 3]', '[1873, 1873, -5*w^4 + w^3 + 24*w^2 - 3*w - 10]', '[1873, 1873, -3*w^4 + w^3 + 16*w^2 - 4*w - 13]', '[1879, 1879, -6*w^4 + 4*w^3 + 27*w^2 - 9*w - 10]', '[1879, 1879, w^4 + w^3 - 4*w^2 - 7*w + 3]', '[1888, 118, -2*w^4 + 8*w^2 + 2]', '[1888, 118, -6*w^4 + 4*w^3 + 28*w^2 - 12*w - 16]', '[1895, 1895, 4*w^4 - 3*w^3 - 16*w^2 + 9*w + 1]', '[1901, 1901, -7*w^4 + 3*w^3 + 34*w^2 - 7*w - 15]', '[1901, 1901, -8*w^4 + 4*w^3 + 38*w^2 - 11*w - 15]', '[1909, 1909, -5*w^4 + 2*w^3 + 23*w^2 - 2*w - 6]', '[1909, 1909, 6*w^4 - 2*w^3 - 26*w^2 + 5*w + 8]', '[1913, 1913, -4*w^4 + 3*w^3 + 19*w^2 - 12*w - 9]', '[1915, 1915, -2*w^4 - w^3 + 11*w^2 + 6*w - 6]', '[1921, 1921, -6*w^4 + 3*w^3 + 29*w^2 - 11*w - 13]', '[1921, 1921, -2*w^4 + w^3 + 10*w^2 - 9]', '[1927, 1927, 3*w^4 - 3*w^3 - 11*w^2 + 9*w - 1]', '[1931, 1931, 7*w^4 - 3*w^3 - 31*w^2 + 8*w + 11]', '[1933, 1933, -w^3 + w^2 + w - 4]', '[1933, 1933, -w^4 + 2*w^3 + 4*w^2 - 10*w - 2]', '[1933, 1933, 3*w^4 - 13*w^2 - 2*w + 7]', '[1951, 1951, -6*w^4 + 5*w^3 + 27*w^2 - 14*w - 12]', '[1952, 122, 8*w^4 - 4*w^3 - 36*w^2 + 10*w + 14]', '[1952, 122, 6*w^4 - 2*w^3 - 30*w^2 + 4*w + 14]', '[1955, 1955, 8*w^4 - 4*w^3 - 37*w^2 + 9*w + 14]', '[1955, 1955, -w^4 + 2*w^2 + 3]', '[1961, 1961, 4*w^4 - 3*w^3 - 17*w^2 + 8*w + 9]', '[1961, 1961, 5*w^4 - 2*w^3 - 23*w^2 + 8*w + 5]', '[1979, 1979, 3*w^4 + w^3 - 15*w^2 - 5*w + 8]', '[1985, 1985, 7*w^4 - 2*w^3 - 32*w^2 + 4*w + 9]', '[1985, 1985, 5*w^4 - 5*w^3 - 24*w^2 + 19*w + 13]', '[1987, 1987, w^2 - 7]', '[1987, 1987, -6*w^4 + 4*w^3 + 28*w^2 - 13*w - 16]', '[1993, 1993, -7*w^4 + 3*w^3 + 31*w^2 - 6*w - 10]', '[1997, 1997, 2*w^4 - w^3 - 8*w^2 + 5*w - 1]', '[2003, 2003, 7*w^4 - 3*w^3 - 33*w^2 + 8*w + 11]', '[2005, 2005, 9*w^4 - 5*w^3 - 42*w^2 + 15*w + 14]', '[2011, 2011, -3*w^4 + w^3 + 15*w^2 + w - 9]', '[2021, 2021, 2*w^4 - 3*w^3 - 9*w^2 + 11*w]', '[2027, 2027, -2*w^4 + w^3 + 12*w^2 - 3*w - 10]', '[2027, 2027, 2*w^4 - 3*w^3 - 11*w^2 + 11*w + 8]', '[2029, 2029, 5*w^4 - 2*w^3 - 25*w^2 + 6*w + 10]', '[2029, 2029, 2*w^4 - 3*w^3 - 11*w^2 + 11*w + 7]', '[2039, 2039, 4*w^4 - 4*w^3 - 18*w^2 + 11*w + 9]', '[2039, 2039, w^3 + w^2 - 2*w - 5]', '[2053, 2053, -7*w^4 + w^3 + 34*w^2 - w - 19]', '[2057, 187, 6*w^4 - w^3 - 28*w^2 + 2*w + 12]', '[2057, 187, 2*w^4 - 10*w^2 - 4*w + 5]', '[2063, 2063, -w^4 - w^3 + 7*w^2 + 4*w - 4]', '[2069, 2069, -6*w^4 + 2*w^3 + 26*w^2 - 4*w - 7]', '[2075, 2075, -7*w^4 + 4*w^3 + 34*w^2 - 13*w - 20]', '[2075, 2075, 9*w^4 - 5*w^3 - 44*w^2 + 14*w + 24]', '[2081, 2081, -w^4 - w^3 + 7*w^2 + 5*w - 6]', '[2081, 2081, -w^4 - 2*w^3 + 6*w^2 + 9*w - 2]', '[2087, 2087, -4*w^4 + 5*w^3 + 20*w^2 - 18*w - 14]', '[2087, 2087, 4*w^4 - w^3 - 16*w^2 + w - 2]', '[2089, 2089, -2*w^4 - w^3 + 8*w^2 + 5*w - 3]', '[2089, 2089, -7*w^4 + w^3 + 35*w^2 - w - 20]', '[2105, 2105, -w^4 + 4*w^3 + 4*w^2 - 14*w - 4]', '[2105, 2105, -4*w^4 + 2*w^3 + 18*w^2 - 8*w - 3]', '[2111, 2111, -5*w^4 + 24*w^2 + 3*w - 14]', '[2117, 2117, 5*w^4 - 2*w^3 - 20*w^2 + 10*w + 4]', '[2125, 2125, -w^4 - 2*w^3 + 6*w^2 + 9*w]', '[2125, 2125, 8*w^4 - 3*w^3 - 39*w^2 + 7*w + 18]', '[2129, 2129, 5*w^4 - 4*w^3 - 25*w^2 + 12*w + 14]', '[2137, 2137, 3*w^3 - w^2 - 11*w]', '[2137, 2137, -6*w^4 + 4*w^3 + 29*w^2 - 10*w - 16]', '[2143, 2143, 8*w^4 - 4*w^3 - 36*w^2 + 10*w + 15]', '[2153, 2153, -w^4 + w^3 + 6*w^2 - w - 7]', '[2155, 2155, 7*w^4 - 5*w^3 - 33*w^2 + 17*w + 16]', '[2155, 2155, -6*w^4 + 3*w^3 + 26*w^2 - 9*w - 4]', '[2161, 2161, 7*w^4 - 3*w^3 - 32*w^2 + 9*w + 11]', '[2161, 2161, -6*w^4 + 3*w^3 + 26*w^2 - 7*w - 9]', '[2161, 2161, 2*w^3 + w^2 - 9*w - 1]', '[2173, 2173, 5*w^4 - 3*w^3 - 24*w^2 + 12*w + 10]', '[2173, 2173, -4*w^4 + w^3 + 22*w^2 - 3*w - 15]', '[2183, 2183, -5*w^4 + 3*w^3 + 24*w^2 - 11*w - 12]', '[2183, 2183, -4*w^4 + 2*w^3 + 16*w^2 - 5*w - 2]', '[2195, 2195, 2*w^3 - 2*w^2 - 8*w + 3]', '[2197, 13, 3*w^4 - w^3 - 14*w^2 - 2*w + 6]', '[2203, 2203, 3*w^4 - 15*w^2 - 4*w + 9]', '[2207, 2207, 6*w^4 - 2*w^3 - 28*w^2 + 6*w + 11]', '[2207, 2207, w^4 - 2*w^3 - 2*w^2 + 7*w - 2]', '[2209, 47, -8*w^4 + 3*w^3 + 38*w^2 - 6*w - 15]', '[2209, 47, -8*w^4 + 3*w^3 + 37*w^2 - 8*w - 15]', '[2209, 2209, 3*w^4 - 2*w^3 - 13*w^2 + 3*w + 1]', '[2213, 2213, w^4 - w^3 - 2*w^2 + 2*w - 5]', '[2215, 2215, w^4 - w^3 - 2*w^2 + 2*w - 4]', '[2221, 2221, w^3 - w - 4]', '[2227, 2227, -4*w^4 + 19*w^2 + 5*w - 8]', '[2227, 2227, -6*w^4 + w^3 + 28*w^2 - w - 9]', '[2231, 2231, -3*w^4 + 4*w^3 + 12*w^2 - 16*w - 4]', '[2231, 2231, 2*w^4 - 8*w^2 + w - 1]', '[2237, 2237, -3*w^4 + w^3 + 12*w^2 + w - 7]', '[2239, 2239, 3*w^4 - 16*w^2 - 3*w + 8]', '[2251, 2251, -4*w^4 + 4*w^3 + 19*w^2 - 12*w - 11]', '[2251, 2251, -6*w^4 + 5*w^3 + 28*w^2 - 15*w - 14]', '[2251, 2251, -w^4 - w^3 + 5*w^2 + 7*w - 4]', '[2257, 2257, 5*w^4 - 3*w^3 - 23*w^2 + 5*w + 10]', '[2257, 2257, 8*w^4 - 4*w^3 - 37*w^2 + 13*w + 13]', '[2267, 2267, w^4 - 3*w^3 - 3*w^2 + 11*w + 2]', '[2269, 2269, -7*w^4 + 5*w^3 + 33*w^2 - 14*w - 16]', '[2273, 2273, -w^3 + 3*w^2 + 3*w - 6]', '[2279, 2279, 6*w^4 - 4*w^3 - 27*w^2 + 9*w + 9]', '[2279, 2279, -5*w^4 + w^3 + 23*w^2 - 13]', '[2281, 2281, -w^4 - w^3 + 5*w^2 + 7*w - 3]', '[2281, 2281, -w^4 + 5*w^2 + 4*w - 3]', '[2285, 2285, -w^4 + 4*w^3 + 4*w^2 - 15*w - 2]', '[2293, 2293, -3*w^4 + 13*w^2 + 4*w - 6]', '[2297, 2297, -w^4 - w^3 + 6*w^2 + 2*w - 7]', '[2305, 2305, -5*w^4 + 5*w^3 + 22*w^2 - 16*w - 11]', '[2305, 2305, w^4 - 3*w^3 - 5*w^2 + 13*w + 2]', '[2309, 2309, 3*w^4 - 4*w^3 - 14*w^2 + 12*w + 8]', '[2309, 2309, 5*w^4 - w^3 - 26*w^2 + 15]', '[2311, 2311, 6*w^4 - 2*w^3 - 27*w^2 + 6*w + 9]', '[2315, 2315, 6*w^4 - 4*w^3 - 27*w^2 + 12*w + 5]', '[2323, 2323, 7*w^4 - 2*w^3 - 34*w^2 + 6*w + 16]', '[2333, 2333, -6*w^4 + w^3 + 31*w^2 - w - 17]', '[2333, 2333, 5*w^4 - 21*w^2 - 4*w + 3]', '[2336, 146, -8*w^4 + 4*w^3 + 36*w^2 - 14*w - 12]', '[2339, 2339, 5*w^4 - 2*w^3 - 23*w^2 + 2*w + 7]', '[2341, 2341, 2*w^4 - 3*w^3 - 7*w^2 + 10*w + 1]', '[2341, 2341, 6*w^4 - 3*w^3 - 29*w^2 + 8*w + 11]', '[2347, 2347, 8*w^4 - 4*w^3 - 38*w^2 + 10*w + 15]', '[2351, 2351, 4*w^4 - 4*w^3 - 20*w^2 + 13*w + 11]', '[2357, 2357, -6*w^4 + 2*w^3 + 29*w^2 - w - 15]', '[2363, 2363, -9*w^4 + 3*w^3 + 43*w^2 - 6*w - 18]', '[2363, 2363, 3*w^4 + w^3 - 14*w^2 - w + 5]', '[2363, 2363, 3*w^4 - 2*w^3 - 15*w^2 + 7]', '[2363, 2363, -w^4 - 2*w^3 + 5*w^2 + 10*w - 4]', '[2369, 2369, 6*w^4 - 4*w^3 - 25*w^2 + 11*w + 5]', '[2371, 2371, -w^4 - w^3 + 4*w^2 + 6*w - 3]', '[2371, 2371, 5*w^4 - w^3 - 24*w^2 + 3*w + 9]', '[2371, 2371, -4*w^4 + 4*w^3 + 18*w^2 - 11*w - 10]', '[2381, 2381, -4*w^4 + 3*w^3 + 18*w^2 - 9*w - 12]', '[2393, 2393, 3*w^4 - 2*w^3 - 12*w^2 + 4*w - 1]', '[2393, 2393, -4*w^4 + w^3 + 20*w^2 - 4*w - 14]', '[2399, 2399, 5*w^4 - w^3 - 25*w^2 + w + 10]', '[2407, 2407, -w^4 - 2*w^3 + 4*w^2 + 8*w - 2]', '[2407, 2407, w^3 - 2*w^2 - 7*w + 3]', '[2411, 2411, 7*w^4 - 2*w^3 - 32*w^2 + w + 11]', '[2417, 2417, w^4 + 2*w^3 - 6*w^2 - 9*w + 1]', '[2419, 2419, -6*w^4 + 4*w^3 + 27*w^2 - 12*w - 13]', '[2419, 2419, 5*w^4 - 2*w^3 - 25*w^2 + 3*w + 18]', '[2425, 2425, 4*w^4 - w^3 - 21*w^2 + 2*w + 19]', '[2425, 2425, -5*w^4 + 25*w^2 + 2*w - 14]', '[2437, 2437, 5*w^4 - 2*w^3 - 21*w^2 + 3*w + 6]', '[2441, 2441, -w^4 - w^3 + 4*w^2 + 5*w - 4]', '[2459, 2459, 6*w^4 - w^3 - 29*w^2 + 2*w + 12]', '[2461, 2461, -5*w^4 + 2*w^3 + 21*w^2 - 4*w - 9]', '[2465, 2465, 5*w^4 - 2*w^3 - 23*w^2 + 8*w + 12]', '[2465, 2465, -w^4 + 3*w^2 - 2*w + 3]', '[2467, 2467, 5*w^4 - 4*w^3 - 24*w^2 + 10*w + 12]', '[2467, 2467, -2*w^4 - w^3 + 8*w^2 + 7*w - 2]', '[2473, 2473, 8*w^4 - 5*w^3 - 36*w^2 + 13*w + 17]', '[2477, 2477, 7*w^4 - 2*w^3 - 34*w^2 + 4*w + 14]', '[2477, 2477, 12*w^4 - 7*w^3 - 57*w^2 + 20*w + 26]', '[2491, 2491, 5*w^4 - 3*w^3 - 22*w^2 + 9*w + 11]', '[2491, 2491, w - 5]', '[2495, 2495, 3*w^4 - 2*w^3 - 13*w^2 + 8*w - 1]', '[2501, 2501, -w^4 - w^3 + 6*w^2 + 7*w - 8]', '[2501, 2501, -7*w^4 + w^3 + 35*w^2 - 2*w - 20]', '[2507, 2507, -3*w^4 + 2*w^3 + 13*w^2 - 10*w - 7]', '[2525, 2525, 2*w^3 - 9*w + 2]', '[2533, 2533, 7*w^4 - 5*w^3 - 33*w^2 + 14*w + 19]', '[2533, 2533, w^4 - w^3 - 2*w^2 + 3*w - 4]', '[2533, 2533, 2*w^4 - w^3 - 11*w^2 + 5*w + 11]', '[2533, 2533, -w^4 + w^3 + 2*w^2 - w + 6]', '[2533, 2533, -7*w^4 + 5*w^3 + 31*w^2 - 15*w - 13]', '[2533, 2533, 4*w^4 - 4*w^3 - 19*w^2 + 12*w + 12]', '[2537, 2537, -6*w^4 + 3*w^3 + 29*w^2 - 7*w - 11]', '[2537, 2537, 5*w^4 - 25*w^2 - 2*w + 15]', '[2539, 2539, -w - 5]', '[2539, 2539, -4*w^4 + w^3 + 20*w^2 - 2*w - 16]', '[2543, 2543, 7*w^4 - 4*w^3 - 32*w^2 + 9*w + 12]', '[2545, 2545, -w^3 + 7*w - 1]', '[2545, 2545, 8*w^4 - 3*w^3 - 37*w^2 + 7*w + 10]', '[2549, 2549, w^4 - w^3 - 5*w^2 + 3*w - 2]', '[2567, 2567, -3*w^4 + 4*w^3 + 15*w^2 - 9*w - 7]', '[2567, 2567, -2*w^3 - w^2 + 2*w - 2]', '[2575, 2575, -2*w^4 - w^3 + 10*w^2 + 7*w - 9]', '[2593, 2593, -2*w^3 + 11*w - 4]', '[2599, 2599, 6*w^4 - 3*w^3 - 29*w^2 + 9*w + 10]', '[2605, 2605, -7*w^4 + 6*w^3 + 31*w^2 - 18*w - 14]', '[2609, 2609, 5*w^4 - w^3 - 24*w^2 + 7]', '[2615, 2615, w^4 - 5*w^2 + w - 3]', '[2623, 2623, -6*w^4 + 3*w^3 + 30*w^2 - 5*w - 19]', '[2623, 2623, -2*w^3 + 2*w^2 + 6*w - 7]', '[2645, 2645, 2*w^4 + 2*w^3 - 10*w^2 - 8*w + 3]', '[2656, 166, -4*w^4 + 18*w^2 + 4*w - 8]', '[2656, 166, -4*w^4 + 4*w^3 + 20*w^2 - 14*w - 12]', '[2657, 2657, 2*w^4 - 2*w^3 - 8*w^2 + 4*w - 1]', '[2657, 2657, 6*w^4 - 2*w^3 - 28*w^2 + 6*w + 9]', '[2669, 2669, 9*w^4 - 2*w^3 - 43*w^2 + 3*w + 19]', '[2669, 2669, -9*w^4 + 4*w^3 + 43*w^2 - 12*w - 23]', '[2669, 2669, 4*w^4 - 19*w^2 - 5*w + 9]', '[2669, 2669, -9*w^4 + 4*w^3 + 45*w^2 - 8*w - 28]', '[2671, 2671, 4*w^4 - 2*w^3 - 20*w^2 + 3*w + 5]', '[2675, 2675, -13*w^4 + 5*w^3 + 65*w^2 - 13*w - 36]', '[2677, 2677, -2*w^4 + w^3 + 12*w^2 - 3*w - 11]', '[2683, 2683, 5*w^4 - 4*w^3 - 24*w^2 + 11*w + 15]', '[2683, 2683, 5*w^4 - 4*w^3 - 25*w^2 + 13*w + 15]', '[2683, 2683, -5*w^4 + 2*w^3 + 24*w^2 - 8*w - 12]', '[2687, 2687, -w^4 + 5*w^2 + 4*w - 4]', '[2687, 2687, -10*w^4 + 7*w^3 + 46*w^2 - 20*w - 23]', '[2689, 2689, -8*w^4 + 6*w^3 + 37*w^2 - 20*w - 19]', '[2693, 2693, -5*w^4 + 2*w^3 + 24*w^2 - 4*w - 7]', '[2699, 2699, 6*w^4 - 2*w^3 - 29*w^2 + 4*w + 11]', '[2701, 2701, -11*w^4 + 7*w^3 + 47*w^2 - 21*w - 15]', '[2705, 2705, 10*w^4 - 5*w^3 - 45*w^2 + 12*w + 16]', '[2707, 2707, 7*w^4 - 2*w^3 - 35*w^2 + 2*w + 16]', '[2720, 170, 6*w^4 - 2*w^3 - 28*w^2 + 6*w + 10]', '[2720, 170, 2*w^4 - 10*w^2 - 4*w + 6]', '[2725, 2725, -7*w^4 + 3*w^3 + 33*w^2 - 5*w - 14]', '[2729, 2729, 7*w^4 - 4*w^3 - 32*w^2 + 12*w + 16]', '[2731, 2731, 7*w^4 - 2*w^3 - 31*w^2 + w + 10]', '[2731, 2731, 5*w^4 - 4*w^3 - 23*w^2 + 10*w + 12]', '[2735, 2735, -10*w^4 + 7*w^3 + 43*w^2 - 21*w - 11]', '[2735, 2735, -2*w^4 + 11*w^2 - w - 10]', '[2741, 2741, -w^4 - 2*w^3 + 5*w^2 + 6*w - 2]', '[2749, 2749, 4*w^4 - 19*w^2 + 6]', '[2749, 2749, w^4 - 2*w^2 - 4]', '[2771, 2771, 5*w^4 - w^3 - 23*w^2 + 14]', '[2771, 2771, 10*w^4 - 4*w^3 - 50*w^2 + 9*w + 26]', '[2773, 2773, 2*w^4 - 13*w^2 + w + 10]', '[2773, 2773, -2*w^4 + 3*w^3 + 7*w^2 - 10*w - 2]', '[2783, 253, w^4 - 5*w^2 - 2*w - 3]', '[2785, 2785, -5*w^4 + 3*w^3 + 20*w^2 - 6*w - 2]', '[2785, 2785, 3*w^4 - 4*w^3 - 12*w^2 + 14*w + 4]', '[2785, 2785, 3*w^4 - 3*w^3 - 16*w^2 + 12*w + 11]', '[2797, 2797, -2*w^4 - w^3 + 11*w^2 + 6*w - 4]', '[2797, 2797, w^4 + 2*w^3 - 6*w^2 - 7*w + 4]', '[2797, 2797, 10*w^4 - 6*w^3 - 48*w^2 + 17*w + 23]', '[2801, 2801, w^4 - w^3 - 3*w^2 - 3]', '[2803, 2803, 2*w^3 - 8*w + 3]', '[2809, 53, 3*w^4 + w^3 - 14*w^2 - 3*w + 8]', '[2809, 2809, -2*w^4 - w^3 + 9*w^2 + 6*w - 5]', '[2809, 2809, -7*w^4 + 2*w^3 + 33*w^2 - 5*w - 14]', '[2813, 2813, 10*w^4 - 4*w^3 - 45*w^2 + 11*w + 16]', '[2813, 2813, -5*w^4 + 3*w^3 + 22*w^2 - 10*w - 11]', '[2815, 2815, -13*w^4 + 10*w^3 + 60*w^2 - 31*w - 25]', '[2825, 2825, 11*w^4 - 6*w^3 - 51*w^2 + 15*w + 26]', '[2837, 2837, 7*w^4 - 3*w^3 - 32*w^2 + 5*w + 12]', '[2839, 2839, 4*w^4 - 3*w^3 - 21*w^2 + 11*w + 14]', '[2839, 2839, 3*w^4 - 2*w^3 - 15*w^2 + 6*w + 14]', '[2839, 2839, -w^3 + 3*w + 6]', '[2839, 2839, 5*w^4 - 4*w^3 - 25*w^2 + 14*w + 15]', '[2845, 2845, 6*w^4 - 4*w^3 - 26*w^2 + 12*w + 11]', '[2857, 2857, 7*w^4 - 4*w^3 - 32*w^2 + 9*w + 11]', '[2867, 2867, -2*w^4 + 10*w^2 + 4*w - 7]', '[2867, 2867, 2*w^3 + w^2 - 8*w]', '[2873, 221, 5*w^4 - 3*w^3 - 21*w^2 + 10*w + 9]', '[2873, 221, -5*w^4 + 3*w^3 + 20*w^2 - 9*w - 4]', '[2875, 2875, -5*w^4 + 3*w^3 + 24*w^2 - 11*w - 13]', '[2879, 2879, w^4 + 2*w^3 - 7*w^2 - 8*w]', '[2885, 2885, -6*w^4 + 4*w^3 + 25*w^2 - 11*w - 4]', '[2909, 2909, 5*w^4 - w^3 - 26*w^2 + 14]', '[2909, 2909, -10*w^4 + 6*w^3 + 44*w^2 - 17*w - 16]', '[2909, 2909, 6*w^4 - 4*w^3 - 29*w^2 + 14*w + 16]', '[2929, 2929, -w^4 + w^3 + 6*w^2 - 2*w - 9]', '[2935, 2935, 7*w^4 - 5*w^3 - 32*w^2 + 15*w + 16]', '[2939, 2939, w^4 - w^3 - 2*w^2 + 3*w - 5]', '[2957, 2957, -2*w^4 + 3*w^3 + 10*w^2 - 11*w - 13]', '[2957, 2957, 2*w^4 - 2*w^3 - 7*w^2 + 7*w + 6]', '[2957, 2957, -w^4 - 2*w^3 + 5*w^2 + 4*w - 3]', '[2963, 2963, w^4 + w^3 - 5*w^2 - w + 6]', '[2965, 2965, -2*w^4 - w^3 + 9*w^2 + 7*w - 5]', '[2969, 2969, w^2 + 2*w - 6]', '[2969, 2969, 5*w^4 - w^3 - 23*w^2 + 3*w + 8]', '[2971, 2971, -7*w^4 + w^3 + 34*w^2 + w - 13]', '[2987, 2987, -8*w^4 + 5*w^3 + 37*w^2 - 17*w - 15]', '[2993, 2993, -6*w^4 + 5*w^3 + 24*w^2 - 16*w - 5]', '[3001, 3001, -4*w^4 + 3*w^3 + 19*w^2 - 12*w - 10]', '[3005, 3005, -4*w^4 + 2*w^3 + 16*w^2 - 5*w - 1]', '[3005, 3005, 3*w^3 - 2*w^2 - 12*w + 3]', '[3005, 3005, 5*w^4 - 4*w^3 - 22*w^2 + 12*w + 11]', '[3013, 3013, 2*w^4 - 4*w^3 - 11*w^2 + 16*w + 10]', '[3023, 3023, -5*w^4 + 2*w^3 + 26*w^2 - 3*w - 12]', '[3025, 275, -7*w^4 + w^3 + 35*w^2 + w - 18]', '[3035, 3035, 3*w^3 - 2*w^2 - 11*w + 1]', '[3037, 3037, -w^4 - 2*w^3 + 5*w^2 + 5*w + 3]', '[3049, 3049, -6*w^4 + 3*w^3 + 27*w^2 - 5*w - 10]', '[3049, 3049, 5*w^4 - 3*w^3 - 24*w^2 + 11*w + 14]', '[3061, 3061, -w^4 + 3*w^3 + 4*w^2 - 9*w]', '[3065, 3065, -7*w^4 + 5*w^3 + 33*w^2 - 14*w - 17]', '[3071, 3071, 7*w^4 - 5*w^3 - 31*w^2 + 16*w + 13]', '[3071, 3071, -5*w^4 + 5*w^3 + 23*w^2 - 15*w - 11]', '[3079, 3079, -w^4 - w^3 + 7*w^2 + 5*w - 5]', '[3083, 3083, 2*w^4 + 2*w^3 - 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3*w^3 - 31*w^2 + 6*w + 13]', '[4429, 4429, 11*w^4 - 7*w^3 - 52*w^2 + 22*w + 21]', '[4435, 4435, w^4 - 2*w^3 - 5*w^2 + 4*w + 7]', '[4439, 4439, 3*w^4 - 4*w^3 - 17*w^2 + 11*w + 8]', '[4441, 4441, -w^4 + w^3 + 6*w^2 - w - 8]', '[4447, 4447, -2*w^4 + 13*w^2 - w - 11]', '[4447, 4447, 5*w^4 - 4*w^3 - 24*w^2 + 15*w + 14]', '[4447, 4447, -6*w^4 + 2*w^3 + 26*w^2 - 2*w - 9]', '[4447, 4447, 3*w^4 - 14*w^2 - 2*w - 1]', '[4447, 4447, -6*w^4 + 2*w^3 + 28*w^2 - w - 9]', '[4448, 278, 4*w^3 - 2*w^2 - 16*w + 2]', '[4448, 278, -4*w^4 + 2*w^3 + 18*w^2 - 6]', '[4451, 4451, -3*w^4 - w^3 + 15*w^2 + 3*w - 9]', '[4453, 4453, 6*w^4 - 2*w^3 - 27*w^2 + w + 7]', '[4453, 4453, 4*w^4 - 4*w^3 - 16*w^2 + 14*w + 5]', '[4469, 4469, w^3 - w^2 - 7*w + 3]', '[4477, 407, -2*w^3 - w^2 + 9*w]', '[4483, 4483, 9*w^4 - 3*w^3 - 42*w^2 + 7*w + 16]', '[4489, 67, -7*w^4 + 5*w^3 + 34*w^2 - 14*w - 20]', '[4493, 4493, 2*w^4 + 2*w^3 - 8*w^2 - 10*w + 1]', '[4505, 4505, -8*w^4 + 5*w^3 + 35*w^2 - 11*w - 10]', '[4505, 4505, 3*w^4 - 13*w^2 - 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13*w - 46]', '[4981, 4981, 3*w^4 - w^3 - 16*w^2 + 4*w + 15]', '[4981, 4981, 10*w^4 - 6*w^3 - 49*w^2 + 16*w + 29]', '[4985, 4985, -8*w^4 + 8*w^3 + 34*w^2 - 27*w - 8]', '[5003, 5003, -6*w^4 + w^3 + 26*w^2 + w - 7]', '[5015, 5015, -2*w^4 - 2*w^3 + 11*w^2 + 8*w - 7]', '[5015, 5015, 7*w^4 - 3*w^3 - 33*w^2 + 7*w + 10]', '[5015, 5015, -10*w^4 + 4*w^3 + 47*w^2 - 7*w - 21]', '[5015, 5015, w^4 + 2*w^3 - 4*w^2 - 9*w + 2]', '[5021, 5021, 9*w^4 - 3*w^3 - 43*w^2 + 8*w + 19]', '[5024, 314, -4*w^4 - 2*w^3 + 20*w^2 + 10*w - 8]', '[5024, 314, 10*w^4 - 6*w^3 - 48*w^2 + 16*w + 26]', '[5029, 5029, -9*w^4 + 6*w^3 + 43*w^2 - 16*w - 21]', '[5045, 5045, -w^4 + 2*w^3 + 7*w^2 - 12*w - 9]', '[5051, 5051, -6*w^4 + 3*w^3 + 29*w^2 - 11*w - 18]', '[5051, 5051, -10*w^4 + 4*w^3 + 45*w^2 - 9*w - 15]', '[5063, 5063, 6*w^4 - 5*w^3 - 28*w^2 + 14*w + 17]', '[5063, 5063, -8*w^4 + 5*w^3 + 37*w^2 - 17*w - 18]', '[5063, 5063, -8*w^4 + 5*w^3 + 37*w^2 - 14*w - 20]', '[5063, 5063, 5*w^4 - w^3 - 25*w^2 - 2*w + 14]', '[5065, 5065, -5*w^4 + w^3 + 23*w^2 + 2*w - 14]', '[5077, 5077, 7*w^4 - 5*w^3 - 33*w^2 + 16*w + 20]', '[5081, 5081, 7*w^4 - 6*w^3 - 33*w^2 + 18*w + 16]', '[5087, 5087, 4*w^4 - 5*w^3 - 18*w^2 + 15*w + 10]', '[5087, 5087, -w^4 + 2*w^3 + 5*w^2 - 11*w - 2]', '[5095, 5095, 6*w^4 - 2*w^3 - 26*w^2 + 5*w - 1]', '[5095, 5095, 13*w^4 - 10*w^3 - 60*w^2 + 33*w + 26]', '[5095, 5095, -14*w^4 + 7*w^3 + 62*w^2 - 16*w - 18]', '[5099, 5099, w^4 + 3*w^3 - 6*w^2 - 12*w + 4]', '[5105, 5105, -3*w^4 + 15*w^2 + 5*w - 12]', '[5113, 5113, -2*w^4 + 4*w^3 + 8*w^2 - 11*w - 3]', '[5120, 20, -8*w^4 + 4*w^3 + 36*w^2 - 8*w - 12]', '[5123, 5123, -10*w^4 + 4*w^3 + 46*w^2 - 7*w - 18]', '[5125, 5125, 7*w^4 - 5*w^3 - 34*w^2 + 13*w + 18]', '[5129, 5129, -w^4 + w^3 + 2*w^2 - 9*w - 1]', '[5129, 5129, -3*w^4 + 4*w^3 + 16*w^2 - 10*w - 12]', '[5141, 5141, 6*w^4 - w^3 - 27*w^2 + 2*w + 8]', '[5141, 5141, 3*w^4 - w^3 - 15*w^2 - 2*w + 8]', '[5141, 5141, 6*w^4 - 3*w^3 - 29*w^2 + 11*w + 15]', '[5141, 5141, 7*w^4 - 3*w^3 - 32*w^2 + 4*w + 13]', '[5143, 5143, -4*w^4 + 5*w^3 + 18*w^2 - 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14]', '[5273, 5273, -w^4 + 2*w^3 + 3*w^2 - 10*w + 2]', '[5279, 5279, 4*w^4 - 2*w^3 - 19*w^2 + 9*w + 11]', '[5287, 5287, -4*w^4 + 4*w^3 + 20*w^2 - 9*w - 13]', '[5287, 5287, -5*w^4 + w^3 + 24*w^2 - 6*w - 16]', '[5287, 5287, 2*w^4 - 7*w^2 - 3*w + 5]', '[5287, 5287, 5*w^4 - 2*w^3 - 27*w^2 + 5*w + 13]', '[5297, 5297, 9*w^4 - 5*w^3 - 43*w^2 + 16*w + 22]', '[5297, 5297, 3*w^2 - w - 7]', '[5297, 5297, -5*w^4 + 3*w^3 + 26*w^2 - 11*w - 15]', '[5305, 5305, -4*w^4 - 2*w^3 + 19*w^2 + 10*w - 6]', '[5305, 5305, 4*w^4 - 6*w^3 - 15*w^2 + 19*w + 1]', '[5311, 5311, -w^4 - 2*w^3 + 5*w^2 + 10*w - 5]', '[5315, 5315, 11*w^4 - 6*w^3 - 51*w^2 + 18*w + 15]', '[5315, 5315, 7*w^4 - 4*w^3 - 29*w^2 + 10*w + 6]', '[5321, 5321, 7*w^4 - w^3 - 32*w^2 + 4*w + 15]', '[5321, 5321, 8*w^4 - 5*w^3 - 38*w^2 + 17*w + 18]', '[5321, 5321, 2*w^4 - w^3 - 11*w^2 + w + 12]', '[5321, 5321, 2*w^4 - w^3 - 11*w^2 - 2*w + 7]', '[5323, 5323, -4*w^4 - w^3 + 20*w^2 + 4*w - 9]', '[5329, 73, -w^4 + w^3 + 4*w^2 - 4*w - 7]', '[5329, 73, -w^4 + 8*w^2 + w - 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10*w - 45]', '[5575, 5575, 4*w^4 - w^3 - 20*w^2 + 4*w + 16]', '[5581, 5581, -8*w^4 + 4*w^3 + 37*w^2 - 7*w - 17]', '[5581, 5581, 5*w^4 - 4*w^3 - 22*w^2 + 12*w + 12]', '[5581, 5581, 6*w^4 - 6*w^3 - 27*w^2 + 18*w + 13]', '[5587, 5587, 6*w^4 - 4*w^3 - 24*w^2 + 13*w + 9]', '[5589, 69, -3*w^3 + 9*w]', '[5591, 5591, -8*w^4 + 5*w^3 + 36*w^2 - 13*w - 18]', '[5597, 5597, -w^4 + 3*w^3 + 6*w^2 - 5*w + 1]', '[5615, 5615, -w^4 + w^3 + 5*w^2 - 8*w - 1]', '[5623, 5623, 4*w^4 - 5*w^3 - 19*w^2 + 16*w + 12]', '[5633, 5633, 3*w^2 - w - 9]', '[5639, 5639, 5*w^4 - 4*w^3 - 25*w^2 + 14*w + 11]', '[5639, 5639, 6*w^4 - w^3 - 27*w^2 + 2*w + 7]', '[5641, 5641, -7*w^4 + 4*w^3 + 35*w^2 - 12*w - 17]', '[5641, 5641, w^4 - w^3 - 3*w^2 - 4]', '[5641, 5641, -8*w^4 + 4*w^3 + 37*w^2 - 8*w - 12]', '[5645, 5645, 9*w^4 - 5*w^3 - 44*w^2 + 15*w + 22]', '[5645, 5645, 11*w^4 - 5*w^3 - 53*w^2 + 14*w + 23]', '[5651, 5651, 4*w^4 - 4*w^3 - 19*w^2 + 10*w + 11]', '[5651, 5651, -9*w^4 + 6*w^3 + 41*w^2 - 19*w - 19]', '[5657, 5657, -11*w^4 + 5*w^3 + 50*w^2 - 12*w - 19]', '[5671, 5671, 5*w^4 - 24*w^2 + 9]', '[5671, 5671, 6*w^4 - 5*w^3 - 27*w^2 + 16*w + 14]', '[5687, 517, 4*w^4 - 5*w^3 - 18*w^2 + 14*w + 9]', '[5693, 5693, 5*w^4 - 23*w^2 - w + 6]', '[5693, 5693, 6*w^4 - 4*w^3 - 26*w^2 + 6*w + 5]', '[5693, 5693, -6*w^4 + w^3 + 28*w^2 - 2*w - 9]', '[5699, 5699, 4*w^4 - w^3 - 16*w^2 - w + 8]', '[5699, 5699, -14*w^4 + 6*w^3 + 66*w^2 - 16*w - 27]', '[5701, 5701, -4*w^4 + 3*w^3 + 20*w^2 - 13*w - 11]', '[5701, 5701, 7*w^4 - 5*w^3 - 31*w^2 + 15*w + 14]', '[5711, 5711, -w^4 - w^3 + 7*w^2 + w - 8]', '[5717, 5717, 3*w^4 - 4*w^3 - 14*w^2 + 11*w + 10]', '[5717, 5717, -7*w^4 + 5*w^3 + 33*w^2 - 13*w - 17]', '[5723, 5723, -w^4 + 4*w^3 + 7*w^2 - 16*w - 9]', '[5723, 5723, 9*w^4 - 3*w^3 - 43*w^2 + 6*w + 17]', '[5723, 5723, w^4 - 2*w^3 - 5*w^2 + 11*w + 1]', '[5723, 5723, -w^4 + 4*w^3 + 4*w^2 - 14*w - 2]', '[5741, 5741, -2*w^4 - w^3 + 9*w^2 + 7*w - 6]', '[5743, 5743, -3*w^4 + 3*w^3 + 15*w^2 - 14*w - 9]', '[5749, 5749, 3*w^4 + w^3 - 16*w^2 - 7*w + 8]', '[5765, 5765, 5*w^4 - 4*w^3 - 21*w^2 + 15*w + 1]', '[5771, 5771, -4*w^4 + w^3 + 21*w^2 - 4*w - 16]', '[5773, 5773, -5*w^4 + 2*w^3 + 25*w^2 - 6*w - 7]', '[5777, 5777, -2*w^4 - 2*w^3 + 10*w^2 + 7*w - 4]', '[5777, 5777, -10*w^4 + 5*w^3 + 45*w^2 - 13*w - 18]', '[5779, 5779, 6*w^4 - 4*w^3 - 30*w^2 + 13*w + 13]', '[5779, 5779, 4*w^4 - w^3 - 20*w^2 - 2*w + 11]', '[5783, 5783, 5*w^4 - 3*w^3 - 22*w^2 + 9*w + 13]', '[5783, 5783, w^2 - 8]', '[5791, 5791, -8*w^4 + 4*w^3 + 35*w^2 - 10*w - 12]', '[5791, 5791, -7*w^4 + 2*w^3 + 31*w^2 - 2*w - 13]', '[5791, 5791, -8*w^4 + 2*w^3 + 36*w^2 - 4*w - 11]', '[5801, 5801, 7*w^4 - 5*w^3 - 34*w^2 + 17*w + 16]', '[5807, 5807, -w^4 - 2*w^3 + 7*w^2 + 8*w - 4]', '[5809, 5809, 8*w^4 - 5*w^3 - 39*w^2 + 15*w + 19]', '[5809, 5809, -w^4 - 2*w^3 + 4*w^2 + 11*w - 2]', '[5813, 5813, 2*w^4 + 2*w^3 - 11*w^2 - 8*w + 8]', '[5825, 5825, -5*w^4 + 4*w^3 + 25*w^2 - 11*w - 20]', '[5827, 5827, 5*w^4 - 4*w^3 - 25*w^2 + 14*w + 13]', '[5839, 5839, w^2 + 3*w - 6]', '[5843, 5843, -3*w^4 + 4*w^3 + 16*w^2 - 14*w - 11]', '[5855, 5855, w^4 - 4*w^2 + 2*w - 4]', '[5867, 5867, 2*w^4 - 3*w^3 - 9*w^2 + 14*w + 4]', '[5869, 5869, w^4 - w^3 - 3*w^2 + 6*w - 5]', '[5875, 5875, 4*w^4 - 3*w^3 - 15*w^2 + 7*w + 1]', '[5881, 5881, 5*w^4 - 2*w^3 - 22*w^2 + 7*w + 3]', '[5899, 5899, -9*w^4 + 4*w^3 + 44*w^2 - 10*w - 20]', '[5899, 5899, -2*w^3 + 9*w - 4]', '[5903, 5903, w^4 - 6*w^2 - w - 2]', '[5905, 5905, 9*w^4 - 7*w^3 - 39*w^2 + 20*w + 8]', '[5905, 5905, 6*w^4 - w^3 - 26*w^2 - w + 8]', '[5911, 5911, -4*w^4 + 4*w^3 + 19*w^2 - 10*w - 12]', '[5911, 5911, 5*w^4 - 19*w^2 + w + 5]', '[5917, 5917, 7*w^4 - 4*w^3 - 32*w^2 + 11*w + 18]', '[5917, 5917, 3*w^3 - w^2 - 10*w + 1]', '[5917, 5917, -10*w^4 + 3*w^3 + 46*w^2 - 5*w - 19]', '[5917, 5917, 4*w^4 - w^3 - 19*w^2 - 3*w + 8]', '[5920, 370, 4*w^4 - 4*w^3 - 18*w^2 + 14*w + 12]', '[5927, 5927, 3*w^4 - 4*w^3 - 13*w^2 + 14*w + 10]', '[5935, 5935, -w^4 + 3*w^3 + 2*w^2 - 10*w - 1]', '[5939, 5939, -w^4 + 4*w^3 + 4*w^2 - 13*w - 3]', '[5945, 5945, 8*w^4 - 5*w^3 - 39*w^2 + 15*w + 18]', '[5953, 5953, 8*w^4 - 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13*w - 23]', '[6031, 6031, -w^4 + 5*w^2 + 5*w - 6]', '[6037, 6037, 9*w^4 - 4*w^3 - 42*w^2 + 7*w + 19]', '[6037, 6037, -6*w^4 + 4*w^3 + 28*w^2 - 13*w - 18]', '[6037, 6037, 6*w^4 - 3*w^3 - 29*w^2 + 12*w + 13]', '[6043, 6043, 2*w^4 - 4*w^3 - 7*w^2 + 12*w]', '[6047, 6047, w^4 + w^3 - 4*w^2 - 7*w + 5]', '[6047, 6047, -9*w^4 + 6*w^3 + 42*w^2 - 16*w - 22]', '[6047, 6047, w^3 + w^2 - 2*w - 7]', '[6053, 6053, -10*w^4 + 5*w^3 + 47*w^2 - 11*w - 20]', '[6053, 6053, 3*w^2 - 8]', '[6053, 6053, 5*w^4 - 3*w^3 - 22*w^2 + 4*w + 7]', '[6059, 6059, 6*w^4 - 3*w^3 - 28*w^2 + 12*w + 12]', '[6059, 6059, -6*w^4 + w^3 + 26*w^2 - 9]', '[6067, 6067, -6*w^4 + 5*w^3 + 26*w^2 - 15*w - 12]', '[6075, 75, -6*w^4 + 3*w^3 + 30*w^2 - 6*w - 21]', '[6077, 6077, -5*w^4 + w^3 + 25*w^2 + 2*w - 15]', '[6077, 6077, -6*w^4 + w^3 + 29*w^2 - 9]', '[6079, 6079, -3*w^4 + 2*w^3 + 12*w^2 - 3*w + 1]', '[6089, 6089, -w^4 + 2*w^3 + 6*w^2 - 6*w - 11]', '[6089, 6089, 6*w^4 - 5*w^3 - 28*w^2 + 14*w + 15]', '[6095, 6095, w^4 + w^3 - 4*w^2 - 2*w - 4]', '[6095, 6095, 7*w^4 - 7*w^3 - 30*w^2 + 23*w + 13]', '[6101, 6101, 7*w^4 - 3*w^3 - 34*w^2 + 9*w + 12]', '[6109, 6109, 12*w^4 - 8*w^3 - 55*w^2 + 22*w + 27]', '[6109, 6109, w^4 - 8*w^2 + w + 11]', '[6109, 6109, 5*w^4 - 5*w^3 - 20*w^2 + 14*w + 1]', '[6112, 382, -6*w^4 + 2*w^3 + 30*w^2 - 2*w - 12]', '[6113, 6113, 4*w^4 + w^3 - 19*w^2 - 4*w + 9]', '[6115, 6115, 9*w^4 - 7*w^3 - 41*w^2 + 25*w + 16]', '[6121, 6121, -6*w^4 + 3*w^3 + 29*w^2 - 11*w - 16]', '[6131, 6131, -8*w^4 + 3*w^3 + 36*w^2 - 6*w - 15]', '[6131, 6131, 6*w^4 - 5*w^3 - 28*w^2 + 14*w + 16]', '[6131, 6131, 2*w^4 - 3*w^3 - 10*w^2 + 12*w + 2]', '[6133, 6133, 4*w^4 - 5*w^3 - 18*w^2 + 15*w + 11]', '[6143, 6143, -3*w^4 - 2*w^3 + 15*w^2 + 8*w - 5]', '[6143, 6143, -7*w^4 + w^3 + 32*w^2 - w - 11]', '[6143, 6143, 2*w^4 - w^3 - 8*w^2 + 2*w - 5]', '[6145, 6145, -6*w^4 + 6*w^3 + 29*w^2 - 22*w - 14]', '[6145, 6145, -5*w^4 + 6*w^3 + 22*w^2 - 21*w - 4]', '[6145, 6145, -10*w^4 + 6*w^3 + 44*w^2 - 15*w - 9]', '[6157, 6157, -7*w^4 + 4*w^3 + 33*w^2 - 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7*w - 1]', '[757, 757, 5*w^4 - 2*w^3 - 22*w^2 + 5*w + 8]', '[757, 757, w^4 + w^3 - 6*w^2 - 5*w + 2]', '[761, 761, 8*w^4 - 3*w^3 - 38*w^2 + 8*w + 18]', '[761, 761, 3*w^4 - w^3 - 14*w^2 + 2*w + 10]', '[761, 761, -4*w^4 + 3*w^3 + 19*w^2 - 7*w - 10]', '[769, 769, -w^4 + 2*w^3 + 5*w^2 - 8*w - 1]', '[773, 773, 9*w^4 - 4*w^3 - 41*w^2 + 9*w + 15]', '[773, 773, 4*w^4 - 2*w^3 - 18*w^2 + 3*w + 6]', '[773, 773, 2*w^2 - 5]', '[787, 787, -w^4 + 6*w^2 - w - 7]', '[787, 787, w^4 - w^3 - 6*w^2 + w + 6]', '[821, 821, 2*w^4 - w^3 - 9*w^2 + 4*w + 8]', '[823, 823, 6*w^4 - w^3 - 27*w^2 - w + 8]', '[827, 827, -3*w^4 + 2*w^3 + 16*w^2 - 6*w - 9]', '[827, 827, -8*w^4 + 5*w^3 + 37*w^2 - 16*w - 17]', '[839, 839, 2*w^4 - 10*w^2 + w + 8]', '[853, 853, 2*w^4 - 2*w^3 - 11*w^2 + 7*w + 7]', '[857, 857, 5*w^4 - 2*w^3 - 24*w^2 + 7*w + 14]', '[877, 877, -w^4 + 2*w^3 + 5*w^2 - 10*w - 6]', '[883, 883, 3*w^4 - 3*w^3 - 15*w^2 + 12*w + 10]', '[887, 887, -4*w^4 + w^3 + 17*w^2 - w - 7]', '[907, 907, 2*w^4 - 11*w^2 - w + 2]', '[907, 907, -2*w^4 - w^3 + 10*w^2 + 4*w - 5]', '[911, 911, -9*w^4 + 4*w^3 + 43*w^2 - 9*w - 19]', '[919, 919, 4*w^4 - w^3 - 20*w^2 + w + 8]', '[937, 937, w^4 - 7*w^2 - 2*w + 4]', '[947, 947, 2*w^4 + 2*w^3 - 10*w^2 - 9*w + 3]', '[953, 953, -2*w^3 + 5*w + 4]', '[961, 31, -4*w^4 + w^3 + 19*w^2 - w - 4]', '[967, 967, 8*w^4 - 5*w^3 - 37*w^2 + 13*w + 18]', '[967, 967, 3*w^4 - w^3 - 13*w^2 - 2*w + 3]', '[971, 971, -4*w^4 + 3*w^3 + 21*w^2 - 10*w - 15]', '[971, 971, -3*w^4 + 12*w^2 + 3*w - 4]', '[971, 971, w^4 - 6*w^2 + 3*w + 6]', '[983, 983, -7*w^4 + 2*w^3 + 34*w^2 - 5*w - 16]', '[983, 983, w^4 - 7*w^2 - w + 8]', '[991, 991, -4*w^4 + 4*w^3 + 19*w^2 - 15*w - 12]', '[991, 991, -8*w^4 + 3*w^3 + 37*w^2 - 5*w - 15]', '[991, 991, -w^4 + w^3 + 7*w^2 - 3*w - 7]', '[997, 997, -8*w^4 + 5*w^3 + 37*w^2 - 16*w - 16]']}
• 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, 3, -1, -5, 0, 1], 'conductor': 0, 'degree': 5, 'dirichlet_group': [], 'disc_abs': 24217, 'disc_rad': 24217, 'disc_sign': 1, 'frobs': [[2, [[5, 1]]], [3, [[5, 1]]], [5, [[4, 1], [1, 1]]], [7, [[5, 1]]], [11, [[3, 1], [2, 1]]], [13, [[3, 1], [2, 1]]], [17, [[3, 1], [1, 2]]], [19, [[5, 1]]], [23, [[4, 1], [1, 1]]], [29, [[4, 1], [1, 1]]], [31, [[3, 1], [2, 1]]], [37, [[4, 1], [1, 1]]], [41, [[4, 1], [1, 1]]], [43, [[4, 1], [1, 1]]], [47, [[2, 2], [1, 1]]], [53, [[3, 1], [1, 2]]], [59, [[3, 1], [1, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [60, 60], 'galois_label': '5T5', 'galt': 5, 'grd': 155.6181223379848, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '5.5.24217.1', 'local_algs': ['61.1.0.1', '61.2.0.1', '61.2.1.1', 'm397.1.1.0', 'm397.1.2.0', 'm397.2.1.1'], 'monogenic': 1, 'num_ram': 2, 'r2': 0, 'ramps': [61, 397], 'rd': 7.53050443021, 'regulator': {'__RealLiteral__': 0, 'data': '2.39942113132', 'prec': 44}, 'res': {'sib': ['-1,-8,12,46,-31,-63,37,22,-12,-2,1', '-13128328481,-694902330,801840653,27841534,-17595569,-351928,167185,1940,-690,-4,1', '-1458721,5979084,59373425,120396557,58257106,-75816874,-83152146,6975698,34290002,4784761,-7157001,-1533179,888222,195662,-69404,-12550,3335,399,-89,-5,1', '-214183646389,7536468901741,-44439392735563,-316456028979400,1630156105457635,416496053224371,-9197470763385765,5963684093067987,18068262691464551,-18399419059787322,-16952425591591497,23405069972524379,8332375533199041,-16945698321571115,-1758181618961603,7875261827567487,-307259505770013,-2495305159848087,335329287332387,556476628095961,-116047864419827,-88487702995891,24495393676673,9981746274321,-3535150819383,-772579398867,361947870147,36781587329,-26489897051,-572889747,1367923365,-52266560,-47987048,4244492,1049459,-147990,-11228,2660,-10,-20,1', '-2875,19332,-15606,-53958,61054,33376,-54570,-834,17803,-2938,-2424,594,143,-42,-3,1', '-504,-1411,26525,-40057,-4155,25597,-3006,-4382,659,280,-45,-6,1', '-5062,1645,2810,117,-133,-3,1', '-68104425073,-520266843437,-514140326757,270946627261,339384145499,-48216220209,-88426276914,2489334784,12173346893,239526263,-979922921,-38955404,48033732,2151727,-1441019,-58392,25660,775,-248,-4,1', '1,-20,122,-79,-1409,2421,5722,-9236,-9814,15113,7421,-12596,-2045,5483,-186,-1199,180,117,-25,-4,1', '1,-43,420,634,-15398,-6509,184846,113995,-1010122,-910475,2706738,3047768,-3909204,-5236499,3260508,5184708,-1662824,-3157721,563350,1228449,-144965,-309402,31587,49807,-5446,-4896,621,265,-39,-6,1', '1222047,-52775064,450780930,-359233200,-8902234881,27102168481,27540470439,-178357148375,30047861576,434715643754,-139463683421,-516970377056,75852788905,301523466518,128610059,-93303801573,-9329328112,16059073469,2699904727,-1566497261,-344084594,87051155,23413046,-2690600,-897758,42746,19344,-271,-218,0,1', '38304,286380,-5771483,18166717,222565,-61600681,38945858,80057601,-70467371,-50573866,56193099,14952259,-24244329,-859917,5907957,-619848,-794075,162201,54051,-16512,-1321,748,-22,-12,1', '64010773,560566921,-55681926896,-105515619697,413877755358,204084477896,-897670408049,-91677568626,944609065256,-72095414915,-573185557372,100952922540,217492637701,-52104908088,-53871296433,15383221845,8898058425,-2897895486,-981888390,363787344,70560252,-30825390,-3029593,1742268,54329,-62920,1126,1312,-72,-12,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a \\)', '\\( 2 a^{4} - a^{3} - 9 a^{2} + 3 a + 3 \\)', '\\( a^{4} - 5 a^{2} - a + 2 \\)', '\\( a^{4} - 5 a^{2} + 3 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4']}