Hilbert modular form data - 2.2.28.1-19.1-b

Formats: - HTML - YAML - JSON - 2024-04-28T12:22:49.213600

• 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': 3, 'disc': 28, 'field_bad_primes': [2, 7], 'field_label': '2.2.28.1', 'is_CM': 'no', 'is_base_change': 'no', 'label': '2.2.28.1-19.1-b', 'label_nsuffix': 1, 'label_suffix': 'b', 'level_bad_primes': [19], 'level_ideal': '[19, 19, 2*w - 3]', 'level_label': '19.1', 'level_norm': 19, 'parallel_weight': 2, 'short_label': '19.1-b', 'weight': '[2, 2]'}
• hmf_hecke •

  Column	Type
  AL_eigenvalues	jsonb
  hecke_eigenvalues	jsonb
  hecke_polynomial	text
  label	text

  
  {'AL_eigenvalues': [['[19, 19, 2*w - 3]', -1]], 'hecke_eigenvalues': ['e', 'e^2 + 2*e - 4', '-e - 1', '-2*e^2 - 3*e + 4', 1, 'e^2 + 3*e - 3', '-e - 6', '-3*e^2 - 6*e + 5', '3*e^2 + 2*e - 8', '2*e - 3', '-e^2 - e - 5', '3*e - 1', '4*e^2 + 5*e - 8', 'e^2 + e', '-3*e^2 - 6*e + 7', '-e^2 - 2*e - 1', '4*e^2 + 8*e - 11', -5, 'e^2 + 8*e + 2', '3*e^2 - 2*e - 10', '4*e^2 + 6*e - 8', '9*e^2 + 11*e - 23', '-6*e^2 - 9*e + 7', 'e^2 + 1', '2*e - 1', '2*e^2 + 4*e - 16', 'e^2 + e + 2', '-6*e^2 - 6*e + 19', '-2*e^2 - 4*e - 2', '7*e^2 + 8*e - 19', '-8*e^2 - 12*e + 11', '-8*e^2 - 17*e + 26', '3*e^2 - e - 19', '-10*e^2 - 15*e + 20', '2*e^2 + 3*e - 7', '2*e^2 + 8*e - 7', 'e^2 + 6*e + 5', '-3*e^2 - 6*e + 7', 'e^2 + 4*e - 16', '-e^2 + e - 5', '-3*e^2 - 15*e + 1', '-7*e^2 - 5*e + 26', 'e^2 - e - 3', '8*e^2 + 14*e - 24', '6*e^2 + 8*e - 13', '-e^2 + e - 8', '-9*e^2 - 18*e + 26', '-7*e - 2', '-8*e^2 - 11*e + 12', '3*e^2 + 3*e + 8', '-5*e^2 - 16*e + 12', '2*e^2 - 2*e - 19', '-7*e^2 - 14*e + 23', '-9*e^2 - 10*e + 34', '5*e^2 + 7*e - 13', '9*e^2 + 9*e - 25', '3*e^2 + 11*e - 2', '-8*e^2 - 15*e + 14', '10*e^2 + 24*e - 30', '3*e^2 + 8*e', '13*e^2 + 18*e - 30', '12*e^2 + 15*e - 23', '-6*e^2 - 20*e + 21', '-3*e^2 - 11*e + 12', '-3*e^2 - 12*e + 11', 'e^2 + 9', '-2*e^2 + 7*e + 20', '11*e^2 + 11*e - 34', '-10*e^2 - 23*e + 17', '13*e^2 + 26*e - 32', '-8*e^2 - 16*e + 12', '-e^2 - 5*e + 11', '-3*e^2 - e + 19', '-4*e^2 - 4*e + 17', '3*e^2 + 8*e', 'e^2 - 3*e - 14', '6*e^2 + 11*e - 7', '-2*e + 16', '-e^2 + 4*e - 6', '-8*e^2 - 7*e + 10', '-12*e^2 - 11*e + 41', '-2*e^2 - 6*e + 11', '5*e^2 + 12*e - 19', '-12*e^2 - 19*e + 32', '12*e^2 + 21*e - 31', '10*e^2 + 15*e', '-5*e^2 - 8*e + 9', '-e^2 - e + 17', '5*e^2 + 21*e - 10', '-7*e^2 - 10*e + 6', '-7*e^2 - 13*e + 29', '15*e^2 + 38*e - 42', '-10*e^2 - 5*e + 35', '-12*e^2 - 31*e + 31', '-12*e^2 - 12*e + 25', '-10*e^2 - e + 34', '-8*e^2 - 5*e + 3', '-e^2 + 11*e + 22', '2*e^2 - e - 20', '6*e^2 - 3*e - 33', '-8*e^2 - 10*e + 29', 'e^2 - 4*e - 9', '-7*e - 26', '8*e^2 + 18*e - 15', '-9*e^2 - 3*e + 21', '-2*e^2 - 3*e + 2', 'e^2 - 14*e - 7', '-6*e^2 - 5*e + 46', '-11*e^2 - 10*e + 11', '7*e^2 + 9*e + 7', '2*e^2 - 6*e - 38', '3*e^2 + 18*e - 2', 'e^2 - 13*e - 16', 'e^2 - 4*e + 1', '-4*e^2 + 11*e + 21', '6*e^2 + 13*e - 33', '11*e^2 + 18*e - 18', '24*e^2 + 29*e - 51', '6*e^2 - 47', '-9*e^2 - 8*e + 41', '3*e^2 + 13*e - 10', '12*e^2 + 34*e - 23', 'e^2 + 16*e + 20', '-17*e^2 - 15*e + 37', '-14*e^2 - 21*e + 38', '13*e^2 + 30*e - 28', '-3*e^2 + 12*e + 20', '-2*e^2 - 14*e - 12', '-7*e^2 - 9*e - 7', '11*e^2 + 4*e - 29', '-5*e^2 - 9*e + 9', '-8*e^2 - 18*e + 16', '-7*e^2 - 20*e + 28', '9*e^2 + 2*e - 42', '-17*e^2 - 21*e + 41', '-5*e^2 - 17*e + 13', '-3*e^2 - 16*e - 8', '11*e^2 + 9*e - 28', '14*e^2 + 13*e - 52', '-7*e^2 - 13*e + 14', '-13*e^2 - 26*e + 7', '-e^2 - e + 22', '8*e^2 + 11*e - 30', '-3*e - 38', '-10*e^2 - 3*e + 17', '2*e^2 + e - 24', '-19*e^2 - 17*e + 39', '2*e^2 + 11*e + 24', '26*e^2 + 33*e - 58', '28*e^2 + 39*e - 69', '-7*e^2 - e + 11', '-e^2 + 9*e', '-2*e^2 + 6*e - 2', '6*e^2 + e - 10', '19*e^2 + 20*e - 54', '-12*e^2 - 12*e + 63', '-9*e^2 - 38*e + 19', '11*e^2 + 30*e - 41', '-2*e^2 + 11*e + 48', '6*e', '8*e^2 + 10*e - 24', '19*e^2 + 16*e - 48', '-7*e^2 - 22*e + 20', '-16*e^2 - 6*e + 42', '7*e^2 - 2*e - 12', '-11*e^2 - 17*e + 39', '12*e^2 + 12*e - 25', '-2*e^2 + 4*e + 11', '10*e^2 + 30*e - 20', '-e^2 - 2*e - 13', '6*e^2 + 9*e + 21', '15*e^2 + 34*e - 66', '-12*e^2 - 37*e + 15', '-13*e^2 - 7*e + 26', '-13*e^2 - 12*e + 31', '17*e^2 + 29*e - 51', '-18*e^2 - 21*e + 44', '-8*e^2 - 8*e + 9', '-4*e^2 - e + 7', '-e^2 + 11*e - 18', '3*e^2 + 8*e - 25', '-6*e^2 - 11', '9*e^2 + 25*e - 21', '-12*e^2 - 19*e + 28', '21*e^2 + 25*e - 66', '-17*e^2 - 17*e + 71', '-27*e^2 - 62*e + 76', '-14*e^2 - 19*e + 52', '-7*e^2 + 12*e + 26', '-12*e^2 - 7*e', '11*e^2 + 32*e - 19', '-14*e^2 - 21*e - 6', '-27*e^2 - 45*e + 63', '29*e^2 + 59*e - 70', 'e^2 - 41', '4*e^2 + 7*e - 47', '4*e^2 - 13*e - 17', '3*e^2 - 6*e - 34', '-11*e^2 - 3*e + 18', '7*e^2 - 11*e - 55', '-7*e^2 + 7*e + 27', '6*e^2 - 10*e - 11', '-18*e^2 - 32*e + 56', '-18*e^2 - 28*e + 69', '16*e^2 + 44*e - 23', '2*e^2 - e - 48', '4*e^2 - 10*e - 14', '13*e^2 + 34*e - 44', '-9*e^2 - 27*e + 47', '20*e^2 + 49*e - 68', '5*e^2 + 4*e + 32', '-14*e^2 - 38*e + 37', '-15*e^2 - 16*e + 70', '14*e^2 + 17*e - 57', '-21*e^2 - 38*e + 68', '-8*e^2 - 6*e + 25', '27*e^2 + 34*e - 65', '-2*e^2 - 18*e + 19', '-5*e^2 + 3*e + 43', '7*e^2 + 5*e - 33', '-37*e^2 - 62*e + 84', '-e^2 + 20*e + 16', '10*e^2 - 7*e - 32', '8*e^2 + 12*e - 54', '-21*e^2 - 5*e + 73', '-13*e^2 - 19*e + 54', '24*e^2 + 27*e - 52', '5*e^2 - 13*e - 24', '25*e^2 + 37*e - 44', '-3*e^2 + 20*e - 2', '8*e^2 + 8*e - 30', '19*e^2 + 50*e - 54', '11*e^2 + 16*e + 15', '7*e^2 - e - 16', '9*e^2 + 35*e - 27', '-26*e^2 - 36*e + 65', '20*e^2 + 37*e - 18', '12*e^2 + 18*e - 44', '-7*e^2 - 24*e + 3', '-2*e^2 - 17*e - 15', '12*e^2 + 20*e + 13', '2*e^2 + 19*e - 5', 'e^2 + 21*e - 7', '-20*e^2 - 25*e + 10', '11*e^2 + 13*e - 18', '-6*e^2 + 5*e - 14', '-7*e - 2', '2*e^2 + 8*e - 44', '-38*e^2 - 57*e + 86', '2*e^2 - 12*e + 26', '-27*e^2 - 54*e + 83', '-17*e^2 - 42*e + 56', 'e^2 - 23*e - 28', '-25*e^2 - 47*e + 58', '-9*e^2 + e + 40', '-6*e^2 + 22*e + 20', '-7*e^2 - 6*e - 9', '10*e^2 + 5*e - 60', '29*e^2 + 40*e - 66', '12*e^2 + 34*e - 60', '7*e^2 - 15*e - 44', '-3*e^2 + 5*e + 61', '6*e^2 + 2*e - 49', '-13*e^2 - 45*e + 53', '-25*e^2 - 51*e + 68', '11*e^2 + 12*e - 40', '-9*e^2 - 25*e - 27', '-4*e^2 - 10*e + 18', '-9*e^2 - 20*e - 21', '-15*e^2 - 28*e + 32', '-8*e^2 + 20*e + 38', '-17*e^2 - 22*e + 80', '-12*e^2 - 28*e + 79', '-8*e^2 - 26*e + 22', '14*e^2 + 20*e - 26', '-22*e^2 - 43*e + 29', '-4*e^2 - 9*e + 30', '-11*e - 8', '-e^2 + 11*e + 20', '34*e^2 + 70*e - 103', '22*e^2 + 19*e - 67', '27*e^2 + 61*e - 96', '9*e^2 - 13*e - 32', '8*e^2 + 3*e - 49', '11*e^2 + 32*e - 18', '-21*e^2 - 10*e + 76', '18*e^2 + 32*e - 21', '-21*e^2 - 39*e + 60', '7*e^2 + 40*e + 1', '11*e^2 + 25*e - 11', '24*e^2 + 54*e - 75', '23*e^2 + 33*e - 12', '3*e^2 - 2*e - 42', '7*e^2 + 3*e - 49', '-12*e^2 - 39*e + 23', '20*e^2 + 35*e - 15', '-12*e^2 - e + 41', '2*e^2 + 9*e - 38', '11*e^2 + 11*e + 5', '38*e^2 + 51*e - 57', '12*e^2 + 18*e - 44', '26*e^2 + 30*e - 71', '-19*e^2 - 15*e + 64', '11*e^2 + 29*e - 57', '17*e^2 + 2*e - 40', '5*e^2 - 6*e + 29', '-12*e^2 - 17*e + 45', '-30*e^2 - 39*e + 57', '23*e^2 + 45*e - 67', '-10*e^2 - 13*e + 41', '11*e^2 + 15*e - 32', '-8*e^2 - 19*e + 9', '2*e^2 + 21*e - 26', '-27*e^2 - 54*e + 50', '6*e^2 + 5*e - 64', '-8*e^2 - 22*e - 39', '-4*e^2 + 25*e + 54', '36*e^2 + 50*e - 81', '-8*e^2 + 8*e + 1', '-9*e^2 - 9*e + 12', 'e^2 - 24*e + 7', '13*e^2 + 33*e - 5', '-34*e^2 - 53*e + 101', '15*e^2 + 23*e - 30', '-16*e^2 - 20*e + 28', '-e^2 + 18*e + 22', '6*e^2 - 11*e - 9', '-8*e^2 - 33*e + 34', '-2*e^2 + 5*e - 19', '-22*e^2 - 16*e + 66', '-25*e', '-19*e^2 - 13*e + 66', '-43*e^2 - 70*e + 93', '-22*e^2 - 28*e + 99', '12*e^2 + 44*e - 28', '24*e^2 + 30*e - 66', '2*e^2 + 9*e + 60', '39*e^2 + 55*e - 79', '-11*e^2 - 30*e + 31', '-21*e^2 - 47*e + 59', '33*e^2 + 30*e - 58', '-20*e^2 - 49*e + 55', '-24*e^2 - 56*e + 42', '15*e^2 + 13*e', '-20*e^2 - 47*e + 40', '12*e^2 + 13*e - 49', '16*e^2 - 10*e - 61', '-14*e^2 - 25*e + 54', '33*e^2 + 41*e - 87', '-9*e - 65', '4*e^2 - 17*e - 27', '-13*e^2 - 8*e + 43', '-22*e^2 - 50*e + 25', '-14*e^2 - 8*e - 9', '9*e^2 - 19*e - 48', '10*e^2 + 32*e + 14', '37*e^2 + 78*e - 92', '-15*e^2 - 45*e + 40', '-8*e^2 - 19*e - 46', '-15*e^2 - 23*e + 47', '19*e^2 + 9*e - 90', '-27*e^2 - 39*e + 58', '10*e^2 + 12*e + 47', '19*e^2 + 13*e - 77', '10*e^2 + 26*e - 70', '-11*e^2 - 40*e + 36', '22*e^2 + 49*e - 93', '-27*e^2 - 25*e + 37', '26*e^2 + 44*e - 47', '11*e^2 + 22*e - 63', '-29*e^2 - 58*e + 57', '24*e^2 + 42*e - 82', '16*e^2 + 28*e - 73', '10*e^2 + 21*e + 37', '3*e^2 - 32', '7*e^2 - 17*e - 89', '-12*e^2 - 24*e + 38', '-6*e^2 - 20*e + 87', 'e^2 - 4*e - 54', '12*e^2 + 16*e - 41', '-9*e^2 - 7*e + 77', '43*e^2 + 53*e - 72', '43*e^2 + 68*e - 87', '-4*e^2 - 24*e - 14', '-19*e^2 - 39*e + 76', '-15*e^2 - 40*e + 35', '17*e^2 + 11*e - 101', '-31*e^2 - 29*e + 97', '-6*e^2 - 29*e - 8', '-e^2 - 15*e - 9', '10*e^2 - 2*e - 7', '-7*e^2 - 54*e', '-14*e^2 - 50*e + 61', '7*e^2 - e - 3', '-19*e^2 - 59*e + 75', '-17*e^2 - 37*e + 3', '3*e^2 + 13*e - 32', '6*e^2 + 23*e - 68', '21*e^2 + 3*e - 88', '16*e^2 + 7*e - 63', '-27*e^2 - 52*e + 66', '-18*e^2 + 5*e + 76', '21*e^2 + 12*e - 66', '2*e^2 + 8*e - 4', '30*e^2 + 32*e - 58', '-9*e^2 - 19*e + 11', '5*e^2 - 7*e + 49', '-38*e^2 - 59*e + 111', '33*e^2 + 44*e - 42', '-3*e^2 - 5*e + 53', '-27*e^2 - 37*e', '-22*e^2 - 36*e + 21', '-15*e^2 - 15*e + 95', '10*e^2 + 31*e + 30', '-20*e^2 - 24*e + 60', '9*e^2 + 38*e - 27', '-10*e^2 + 21*e + 50', '-22*e^2 - 58*e + 34', '22*e^2 + 74*e - 58', '-13*e^2 - 20*e + 13', '-29*e^2 - 43*e + 81', '22*e^2 + 60*e - 53', '-9*e^2 + 2*e + 5', '-7*e^2 - 6*e - 39', '-5*e^2 + 20*e + 15', '33*e^2 + 85*e - 87', '18*e^2 + 20*e - 62', '4*e^2 + 24*e + 40', '-14*e^2 - 15*e - 26', '24*e^2 + 57*e - 72', '-35*e^2 - 80*e + 90', '-27*e^2 - 47*e + 105', '-12*e^2 - 17*e + 70', 'e^2 + 41*e + 33', '-15*e^2 - 37*e + 21', '-5*e^2 - 8*e - 69', '2*e^2 - 12*e + 20', '28*e^2 + 44*e - 104', '13*e^2 + 9*e - 49', '17*e^2 + 15*e - 82', '6*e^2 + 17*e + 36', '-4*e^2 + 2*e + 40', '-2*e^2 + 28*e - 6', '-13*e^2 - 32*e + 73', '-53*e^2 - 77*e + 128', '4*e^2 + 29*e + 15', '30*e^2 + 52*e - 98', '-9*e^2 - 23*e - 9', '12*e^2 + 35*e - 42', '-8*e^2 - 11*e - 48', '35*e^2 + 13*e - 102', '41*e^2 + 90*e - 131', '21*e^2 + 30*e - 31', '13*e + 39', '2*e^2 - 16*e - 27', '16*e^2 + 12*e - 58', '30*e^2 + 49*e - 110', '-40*e^2 - 68*e + 84', '4*e^2 + 49*e + 22', '2*e^2 - 7*e + 21', '-2*e^2 - 9*e + 38', '-13*e^2 - 41*e - 7', '14*e^2 + 50*e - 8', '-38*e^2 - 24*e + 121', '16*e^2 + 33*e + 34', '17*e^2 + 39*e - 73', '-34*e^2 - 69*e + 90', '19*e^2 + 25*e - 87', '9*e^2 - 20*e - 47', '-27*e^2 - 32*e + 55', '-3*e^2 + 10*e - 7', '-20*e^2 - 41*e + 93', '6*e^2 - 3*e - 55', '3*e^2 + 31*e + 23', '-18*e^2 - 57*e + 51', '7*e^2 + 31*e + 54', '-8*e^2 - 9*e + 104', '14*e^2 + 9*e - 46', '22*e^2 + 23*e - 30', '-26*e^2 - 5*e + 99', '38*e^2 + 62*e - 108', '21*e^2 + 25*e - 111', 'e^2 + 5*e - 76', '-9*e^2 - 4*e + 40', '-16*e^2 - 20*e + 21', '38*e^2 + 15*e - 113', '-e^2 + 28*e + 9', '-24*e^2 - 18*e + 121', '11*e^2 + 12*e + 16', '24*e^2 + 29*e - 103', '-6*e^2 - 16*e - 43', '26*e^2 + 5*e - 91', '24*e^2 - 6*e - 95', '-4*e^2 + 8*e + 17', '-15*e^2 - 20*e + 50', '51*e^2 + 76*e - 135', 'e^2 - 34*e - 10', '-12*e^2 + 10*e + 53', '-22*e^2 - 20*e + 108', '-37*e^2 - 48*e + 84', '-13*e^2 - 6*e + 97', '-10*e^2 - 24*e + 35', '10*e^2 + 26*e + 25', '-2*e^2 - 21*e + 6', '7*e^2 + 31*e - 11', '21*e^2 + 45*e - 27', '-47*e^2 - 54*e + 112', '32*e^2 + 80*e - 82', '-17*e^2 + 13*e + 40', '-2*e^2 - 8*e + 36', '22*e^2 + 49*e - 81', '29*e^2 + 53*e - 61', '43*e^2 + 70*e - 83', '-23*e^2 - 22*e + 106', '-24*e^2 - 75*e + 89', '-25*e^2 - 62*e + 109', '-18*e^2 + 19*e + 58', '7*e^2 - 32', '52*e^2 + 75*e - 97', '19*e^2 + 7*e - 2', '-10*e^2 - 20*e + 95', '-31*e^2 - 66*e + 75', '29*e^2 + 24*e - 90', '4*e^2 - 10*e - 18', '39*e^2 + 60*e - 103', '23*e^2 + 15*e - 69', '-15*e^2 - 4*e + 75', '-31*e^2 - 78*e + 85', '14*e^2 + 10*e - 9', '-15*e^2 - 42*e + 88', '-23*e^2 - 10*e + 126', '-22*e^2 - 32*e + 43', '7*e^2 + 32*e + 58', '5*e^2 + 11*e - 66', '22*e^2 + 46*e - 86', '-37*e^2 - 91*e + 91', '17*e^2 + 4*e - 26', '13*e^2 + 37*e - 14', '14*e^2 + 41*e + 12', '50*e^2 + 89*e - 96', '-44*e^2 - 81*e + 134', '-e^2 + 13*e - 20', '29*e^2 + 69*e - 125', '58*e^2 + 81*e - 142', '21*e^2 + 21*e - 69', '22*e^2 + 49*e - 62', '-36*e^2 - 28*e + 73', '-12*e^2 - 36*e + 1', '15*e^2 + 49*e - 16', '-3*e^2 - 20*e - 82', '15*e^2 + 37*e - 21', '-26*e^2 - 31*e + 82', '38*e^2 + 77*e - 76', '12*e^2 + 34*e - 93', '32*e^2 + 74*e - 113', '7*e^2 - e - 78', '-27*e^2 - 52*e + 96', '24*e + 35', '-14*e^2 - 3*e + 76', '-37*e^2 - 32*e + 95', '-19*e^2 - 29*e + 100', '-18*e^2 - 56*e + 92', '-8*e^2 - 3*e', '40*e^2 + 71*e - 84', '-43*e^2 - 62*e + 61', '-9*e^2 + 35*e + 49', '3*e^2 + 41*e - 27', '37*e^2 + 13*e - 114', '28*e^2 + 54*e - 89', '-13*e^2 + 16*e + 74', '31*e^2 + 30*e - 76', '-27*e^2 - 34*e + 93', '-13*e^2 - 25*e + 116', '-16*e^2 - 39*e + 30', '14*e + 30', '26*e^2 + 17*e - 83', '54*e^2 + 97*e - 122', '40*e^2 + 80*e - 80', '-5*e^2 - 8*e + 84', '31*e^2 + 10*e - 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9', '21*e^2 + 44*e - 3', '-27*e^2 - 60*e + 80', '-53*e^2 - 71*e + 112', '25*e^2 + 68*e - 22', '-23*e^2 - 45*e - 19', '12*e^2 - 55*e - 99', '18*e^2 - 4*e - 75', '-79*e^2 - 150*e + 206', '-28*e^2 + 3*e + 41', '30*e^2 + 32*e - 118', '-30*e^2 - 67*e + 16', '-57*e^2 - 98*e + 132', '26*e^2 + 20*e - 96', '36*e^2 + 30*e - 86', '7*e^2 - 51*e - 32', '-46*e^2 - 75*e + 132', '-29*e^2 - 37*e + 17', '56*e^2 + 113*e - 118', '44*e^2 + 115*e - 71', '-11*e^2 + 35*e + 89', '7*e^2 + 20*e - 54', '-42*e^2 - 37*e + 58', '-24*e^2 - 48*e - 3', '39*e + 35', '-31*e^2 - 101*e + 70', '-15*e^2 - 3*e - 18', '-30*e^2 - 68*e + 32', '28*e^2 + 101*e - 77', '-18*e^2 - 10*e + 113', '-6*e^2 + 36*e + 62', '-22*e^2 - 43*e + 69', '12*e^2 + 9*e + 47', '-40*e^2 - 17*e + 93', 'e^2 - 49*e + 5', '-31*e^2 - 13*e + 33', '44*e^2 + 47*e - 102', '72*e^2 + 148*e - 199', '58*e^2 + 66*e - 77', '-37*e^2 - 40*e + 142', '-27*e^2 - 60*e - 3', '47*e^2 + 110*e - 177', '-23*e^2 - 75*e + 83', '-36*e^2 - 64*e + 141', '2*e^2 - 30*e - 93', '-17*e^2 - 63*e + 89', '16*e^2 - 29*e - 50', '-67*e^2 - 149*e + 198', '-2*e^2 - 14*e - 32', '12*e^2 + 14*e + 33', '12*e^2 + 9*e - 47', '7*e^2 + 38*e + 46', '9*e^2 + 34*e + 60', '56*e^2 + 96*e - 153', '-2*e^2 + 27*e - 4', '24*e^2 + 61*e - 98', '14*e^2 + 46*e - 143', '-40*e^2 - 82*e + 46', '-25*e^2 - 47*e + 101', '-3*e^2 + 11*e + 19', '-60*e^2 - 100*e + 155', '-26*e^2 - 21*e + 22', '-20*e^2 - 43*e - 11', '-33*e^2 - 62*e + 51', '24*e^2 + 59*e - 25', '-53*e^2 - 86*e + 137', '-30*e^2 - 62*e + 158', '-66*e^2 - 92*e + 134', '18*e^2 - 78', '55*e^2 + 54*e - 160', '-50*e^2 - 51*e + 150', '-18*e^2 - 28*e + 164', '27*e^2 + 62*e - 111', '-2*e^2 - 21*e - 34', '8*e^2 + 34*e + 31', '-33*e^2 - 40*e + 13', '60*e^2 + 104*e - 176', 'e^2 - 5*e + 74', '3*e^2 + 36*e - 2', '-37*e^2 - 16*e + 141', '-53*e^2 - 74*e + 129', '-60*e^2 - 91*e + 99', '30*e^2 + 99*e - 76', '-45*e^2 - 57*e + 193', '5*e^2 - 32*e - 62', '-9*e^2 + 4*e + 62', '-e^2 + 33*e + 38', '-15*e^2 + 2*e + 21', '84*e^2 + 134*e - 196', '-7*e^2 + 31*e + 140', '73*e^2 + 141*e - 150', '-65*e^2 - 125*e + 140', '66*e^2 + 83*e - 103', '-19*e^2 + 6*e + 135', '46*e^2 + 36*e - 190', '-22*e^2 - 45*e + 56', '13*e^2 + 30*e - 164', '-32*e^2 + 8*e + 71', '-24*e^2 - 73*e + 102', '-46*e^2 - 44*e + 42', '-40*e^2 - 71*e + 164', '-23*e^2 - 49*e + 14', '-35*e^2 - 65*e + 150', '-10*e^2 - 3*e + 41', '25*e^2 + 32*e - 94', '-17*e^2 - 31*e + 81', '24*e^2 + 47*e - 17', '-42*e^2 - 29*e + 90', '49*e^2 + 74*e - 183', '22*e^2 + 9*e - 18', '68*e^2 + 87*e - 211', '-39*e^2 - 38*e + 66', '-27*e^2 - 102*e + 55', '-13*e^2 - 41*e + 95', '26*e^2 - 19*e - 112', '34*e^2 + 40*e - 157', '-21*e^2 - 95*e + 23', '-21*e^2 - 16*e + 154', '-28*e^2 - 7*e + 60', '-40*e^2 - 88*e + 132', '-55*e^2 - 73*e + 67', '-48*e^2 - 70*e + 88', '-37*e^2 - 17*e + 130', '39*e^2 + 39*e - 143', '48*e^2 + 91*e - 70', '52*e^2 + 104*e - 83', '-6*e^2 - 65*e - 29', '16*e^2 + 9*e + 63', '23*e^2 + 20*e - 78', '44*e^2 + 32*e - 110', '39*e^2 + 87*e - 150', '-e^2 + 26*e - 93', '-9*e^2 + 37*e + 41', '72*e + 12', '-8*e^2 - 27*e + 111', '-28*e^2 + 108', '-51*e^2 - 34*e + 132', '4*e^2 - 79*e - 69', '-e^2 - 24*e - 34', '-8*e^2 + 9*e + 7', '-7*e^2 + 37*e + 29', '14*e^2 + 14*e - 40', '11*e^2 + 25*e + 34', '3*e^2 + 32*e + 50', '-17*e^2 + 7*e + 20', '54*e^2 + 74*e - 26', '11*e^2 - 5*e + 23', '22*e^2 + 104*e - 23', '55*e^2 + 63*e - 72', '-29*e^2 - 33*e + 21', '9*e + 84', '20*e^2 + 32*e - 11', '-22*e^2 - 29*e + 90', '-38*e^2 - 7*e + 110', '-84*e^2 - 130*e + 218', '-45*e^2 - 50*e + 20', '-37*e^2 - 41*e + 101', '19*e^2 + 21*e - 17', '-12*e^2 + 18*e + 81', '-22*e^2 - 69*e - 22', '61*e^2 + 95*e - 166', '15*e^2 - 17*e - 125', '-73*e^2 - 71*e + 189', '10*e^2 - 41*e - 81', '20*e^2 + 59*e - 76', '-34*e^2 - 3*e + 136', '-4*e^2 - 3*e - 44', '-46*e^2 - 44*e + 186', '-46*e^2 - 99*e + 206', '17*e^2 + 48*e - 119', '-39*e^2 - 110*e + 164', '-14*e^2 + 51*e + 51', '38*e^2 + 17*e - 170', '37*e^2 + 100*e - 53', '55*e^2 + 143*e - 135', '-91*e^2 - 125*e + 188', '-41*e^2 - 85*e + 107', '-21*e^2 - 20*e + 152', '6*e^2 + 48*e + 77', '9*e^2 + 12*e + 88', '-35*e^2 - 36*e + 160', '53*e^2 + 138*e - 129', '13*e^2 + 18*e - 85', '-10*e^2 - 81*e - 36', '24*e^2 + 5*e - 144', '-60*e^2 - 137*e + 178', '11*e^2 + 14*e - 22', '-6*e^2 - 57*e - 101', '51*e^2 + 100*e - 156', '27*e^2 + 83*e - 59', '-56*e^2 - 41*e + 170', '35*e^2 + 52*e - 138', '34*e^2 + 74*e - 51', '26*e^2 - 5*e - 22', '-13*e^2 - 44*e - 56', '27*e^2 + 41*e - 46', '4*e^2 - 60*e - 84', '-21*e^2 - 10*e + 1', '-20*e^2 - 48*e + 87', '-43*e^2 - 77*e + 41', '43*e^2 + 56*e - 63', '-20*e^2 - 8*e + 166', '11*e^2 + 57*e - 61', '-43*e^2 + 10*e + 161', '27*e^2 + 30*e - 187', '-e^2 - 39*e + 32', '36*e^2 + e - 172', '-8*e^2 - 31*e + 35', '-29*e^2 - 25*e + 64', '6*e^2 + 75*e + 69', '4*e^2 + e + 33', '-17*e^2 - 27*e + 81', '2*e^2 + 16*e - 91', '-3*e^2 + 31*e - 6', '-40*e^2 - 71*e + 188', '-18*e^2 + 20*e + 12', '-30*e^2 - 93*e + 47', '8*e^2 + 26*e - 67', '40*e^2 + 45*e - 70', '-53*e^2 - 124*e + 134', '-9*e^2 - 78*e - 29', '17*e^2 + 30*e - 117', '2*e^2 + 64*e + 75', '42*e^2 + 34*e - 195', '-24*e^2 - 11*e + 111', '41*e^2 + 99*e - 119', '12*e^2 - 7*e - 89', '33*e^2 + 46*e - 32', '-29*e^2 - 68*e + 86', '-47*e^2 - 87*e + 140', '16*e^2 - 39*e - 42', '-21*e^2 + 15*e + 164', '-51*e^2 - 87*e + 153', '-30*e^2 + e + 85', '-13*e^2 - 54*e - 16', '2*e^2 - 9*e - 66', '17*e^2 + 85*e - 22', '46*e^2 + 92*e - 159', '35*e^2 + 23*e - 112', '-67*e^2 - 108*e + 179', '-22*e^2 - 64*e + 138', '33*e^2 + 66*e + 3', '-37*e^2 - 17*e + 151', '-47*e^2 - 27*e + 111', '6*e^2 + 76*e + 18', '-29*e^2 - 34*e + 118', '44*e^2 + 45*e - 24', '4*e^2 + 65*e + 46'], 'hecke_polynomial': 'x^3 + x^2 - 4*x + 1', 'label': '2.2.28.1-19.1-b'}
• hmf_fields •

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

  
  {'degree': 2, 'discriminant': 28, 'ideals': ['[1, 1, 1]', '[2, 2, w - 3]', '[3, 3, w - 2]', '[3, 3, w + 2]', '[4, 2, 2]', '[6, 6, -w - 1]', '[6, 6, -w + 1]', '[7, 7, w]', '[8, 4, 2*w - 6]', '[9, 3, 3]', '[9, 9, w + 4]', '[9, 9, -w + 4]', '[12, 6, 2*w - 4]', '[12, 6, 2*w + 4]', '[14, 14, -3*w + 7]', '[16, 4, 4]', '[18, 6, 3*w - 9]', '[18, 18, -w - 5]', '[18, 18, w - 5]', '[19, 19, 2*w - 3]', '[19, 19, 2*w + 3]', '[21, 21, -2*w + 7]', '[21, 21, 2*w + 7]', '[24, 12, -2*w - 2]', '[24, 12, -2*w + 2]', '[25, 5, 5]', '[27, 9, 3*w - 6]', '[27, 9, 3*w + 6]', '[27, 27, 2*w - 1]', '[27, 27, 2*w + 1]', '[28, 14, 2*w]', '[29, 29, -w - 6]', '[29, 29, w - 6]', '[31, 31, 4*w + 9]', '[31, 31, -4*w + 9]', '[32, 8, 4*w - 12]', '[36, 6, 6]', '[36, 18, 2*w + 8]', '[36, 18, -2*w + 8]', '[37, 37, -3*w + 10]', '[37, 37, -6*w + 17]', '[38, 38, -3*w + 5]', '[38, 38, -3*w - 5]', '[42, 42, -w - 7]', '[42, 42, w - 7]', '[47, 47, -3*w - 4]', '[47, 47, 3*w - 4]', '[48, 12, 4*w - 8]', '[48, 12, 4*w + 8]', '[49, 7, 7]', '[50, 10, 5*w - 15]', '[53, 53, 2*w - 9]', '[53, 53, 2*w + 9]', '[54, 18, -3*w - 3]', '[54, 18, -3*w + 3]', '[54, 54, -5*w - 11]', '[54, 54, -5*w + 11]', '[56, 28, -6*w + 14]', '[57, 57, w + 8]', '[57, 57, -4*w + 13]', '[57, 57, 4*w + 13]', '[57, 57, -w + 8]', '[58, 58, 3*w + 11]', '[58, 58, -3*w + 11]', '[59, 59, 3*w - 2]', '[59, 59, -3*w - 2]', '[62, 62, 3*w + 1]', '[62, 62, -3*w + 1]', '[63, 21, 3*w]', '[63, 63, 4*w - 7]', '[63, 63, 4*w + 7]', '[64, 8, 8]', '[72, 12, 6*w - 18]', '[72, 36, -2*w - 10]', '[72, 36, 2*w - 10]', '[74, 74, -w - 9]', '[74, 74, w - 9]', '[75, 15, 5*w - 10]', '[75, 15, 5*w + 10]', '[76, 38, 4*w - 6]', '[76, 38, 4*w + 6]', '[81, 9, 9]', '[81, 27, 3*w + 12]', '[81, 27, -3*w + 12]', '[81, 81, -5*w + 16]', '[81, 81, 5*w + 16]', '[83, 83, -6*w - 13]', '[83, 83, -6*w + 13]', '[84, 42, -4*w + 14]', '[84, 42, 4*w + 14]', '[87, 87, -4*w - 5]', '[87, 87, -7*w + 16]', '[87, 87, -7*w - 16]', '[87, 87, -4*w + 5]', '[93, 93, w + 10]', '[93, 93, -2*w + 11]', '[93, 93, -2*w - 11]', '[93, 93, w - 10]', '[94, 94, 5*w - 9]', '[94, 94, -13*w + 33]', '[96, 24, -4*w - 4]', '[96, 24, -4*w + 4]', '[98, 14, 7*w - 21]', '[100, 10, 10]', '[103, 103, 4*w - 3]', '[103, 103, -4*w - 3]', '[106, 106, 3*w - 13]', '[106, 106, 3*w + 13]', '[108, 18, 6*w - 12]', '[108, 18, 6*w + 12]', '[108, 54, 4*w - 2]', '[108, 54, 4*w + 2]', '[109, 109, -6*w + 19]', '[109, 109, -6*w - 19]', '[111, 111, 4*w + 1]', '[111, 111, 5*w + 8]', '[111, 111, 5*w - 8]', '[111, 111, 4*w - 1]', '[112, 28, 4*w]', '[113, 113, -13*w + 36]', '[113, 113, -4*w + 15]', '[114, 114, -w - 11]', '[114, 114, -5*w - 17]', '[114, 114, 5*w - 17]', '[114, 114, w - 11]', '[116, 58, -2*w - 12]', '[116, 58, 2*w - 12]', '[118, 118, -11*w + 27]', '[118, 118, 7*w - 15]', '[121, 11, -11]', '[124, 62, 8*w + 18]', '[124, 62, -8*w + 18]', '[126, 42, -9*w + 21]', '[126, 126, -5*w + 7]', '[126, 126, -5*w - 7]', '[128, 16, 8*w - 24]', '[131, 131, -6*w + 11]', '[131, 131, -6*w - 11]', '[133, 133, 3*w + 14]', '[133, 133, -3*w + 14]', '[137, 137, -w - 12]', '[137, 137, w - 12]', '[139, 139, -5*w - 6]', '[139, 139, 5*w - 6]', '[141, 141, -10*w - 29]', '[141, 141, 2*w - 13]', '[141, 141, 2*w + 13]', '[141, 141, -10*w + 29]', '[144, 12, 12]', '[144, 36, 4*w + 16]', '[144, 36, -4*w + 16]', '[147, 21, 7*w - 14]', '[147, 21, 7*w + 14]', '[148, 74, -6*w + 20]', '[148, 74, -12*w + 34]', '[149, 149, -5*w + 18]', '[149, 149, -14*w + 39]', '[150, 30, -5*w - 5]', '[150, 30, -5*w + 5]', '[152, 76, -6*w + 10]', '[152, 76, -6*w - 10]', '[159, 159, -8*w - 17]', '[159, 159, 5*w - 4]', '[159, 159, -5*w - 4]', '[159, 159, 8*w - 17]', '[162, 18, 9*w - 27]', '[162, 54, -3*w - 15]', '[162, 54, 3*w - 15]', '[162, 162, -w - 13]', '[162, 162, w - 13]', '[166, 166, 5*w + 3]', '[166, 166, 5*w - 3]', '[167, 167, -9*w + 20]', '[167, 167, -9*w - 20]', '[168, 84, -2*w - 14]', '[168, 84, 2*w - 14]', '[169, 13, -13]', '[171, 57, 6*w - 9]', '[171, 57, 6*w + 9]', '[171, 171, 10*w - 23]', '[171, 171, 5*w - 2]', '[171, 171, 5*w + 2]', '[171, 171, 10*w + 23]', '[174, 174, 7*w - 13]', '[174, 174, 5*w + 1]', '[174, 174, 5*w - 1]', '[174, 174, 7*w + 13]', '[175, 35, 5*w]', '[177, 177, -8*w + 25]', '[177, 177, 4*w - 17]', '[177, 177, 4*w + 17]', '[177, 177, -8*w - 25]', '[186, 186, -5*w - 19]', '[186, 186, 7*w + 23]', '[186, 186, 7*w - 23]', '[186, 186, -5*w + 19]', '[188, 94, -6*w - 8]', '[188, 94, 6*w - 8]', '[189, 63, -6*w + 21]', '[189, 63, 6*w + 21]', '[189, 189, w + 14]', '[189, 189, -w + 14]', '[192, 24, 8*w - 16]', '[192, 24, 8*w + 16]', '[193, 193, 3*w - 16]', '[193, 193, -3*w - 16]', '[196, 14, 14]', '[197, 197, 2*w - 15]', '[197, 197, -2*w - 15]', '[199, 199, -7*w - 12]', '[199, 199, -7*w + 12]', '[200, 20, 10*w - 30]', '[203, 203, -6*w - 7]', '[203, 203, -6*w + 7]', '[206, 206, -15*w + 37]', '[206, 206, 9*w - 19]', '[212, 106, 4*w - 18]', '[212, 106, 4*w + 18]', '[216, 36, -6*w - 6]', '[216, 36, -6*w + 6]', '[216, 108, -10*w - 22]', '[216, 108, -10*w + 22]', '[217, 217, 9*w - 28]', '[217, 217, 9*w + 28]', '[218, 218, -w - 15]', '[218, 218, -w + 15]', '[222, 222, -7*w - 11]', '[222, 222, -11*w - 25]', '[222, 222, -11*w + 25]', '[222, 222, -7*w + 11]', '[223, 223, -8*w + 15]', '[223, 223, -8*w - 15]', '[224, 56, -12*w + 28]', '[225, 15, 15]', '[225, 45, 5*w + 20]', '[225, 45, -5*w + 20]', '[226, 226, -3*w - 17]', '[226, 226, 3*w - 17]', '[227, 227, 6*w - 5]', '[227, 227, -6*w - 5]', '[228, 114, 2*w + 16]', '[228, 114, -8*w + 26]', '[228, 114, 8*w + 26]', '[228, 114, -2*w + 16]', '[232, 116, 6*w + 22]', '[232, 116, -6*w + 22]', '[233, 233, -16*w + 45]', '[233, 233, -7*w + 24]', '[236, 118, 6*w - 4]', '[236, 118, -6*w - 4]', '[242, 22, -11*w + 33]', '[243, 27, 9*w - 18]', '[243, 27, 9*w + 18]', '[243, 81, 6*w - 3]', '[243, 81, 6*w + 3]', '[243, 243, 7*w - 10]', '[243, 243, 7*w + 10]', '[248, 124, 6*w + 2]', '[248, 124, -6*w + 2]', '[249, 249, -w - 16]', '[249, 249, -4*w - 19]', '[249, 249, 4*w - 19]', '[249, 249, w - 16]', '[251, 251, -6*w - 1]', '[251, 251, 6*w - 1]', '[252, 42, 6*w]', '[252, 126, 8*w - 14]', '[252, 126, 8*w + 14]', '[256, 16, 16]', '[259, 259, 17*w - 42]', '[259, 259, 10*w - 21]', '[261, 87, -3*w - 18]', '[261, 87, 3*w - 18]', '[261, 261, 10*w - 31]', '[261, 261, 2*w - 17]', '[261, 261, -2*w - 17]', '[261, 261, -10*w - 31]', '[262, 262, 7*w - 9]', '[262, 262, 7*w + 9]', '[266, 266, 5*w - 21]', '[266, 266, -5*w - 21]', '[271, 271, -11*w + 24]', '[271, 271, -11*w - 24]', '[274, 274, -15*w + 43]', '[274, 274, -9*w + 29]', '[277, 277, -21*w + 58]', '[277, 277, -6*w + 23]', '[278, 278, 9*w - 17]', '[278, 278, -21*w + 53]', '[279, 93, 12*w + 27]', '[279, 93, -12*w + 27]', '[279, 279, 7*w + 8]', '[279, 279, 8*w - 13]', '[279, 279, -8*w - 13]', '[279, 279, -7*w + 8]', '[281, 281, -8*w + 27]', '[281, 281, -17*w + 48]', '[282, 282, w + 17]', '[282, 282, 7*w - 25]', '[282, 282, 7*w + 25]', '[282, 282, w - 17]', '[283, 283, 13*w - 30]', '[283, 283, -14*w + 33]', '[288, 24, 12*w - 36]', '[288, 72, -4*w - 20]', '[288, 72, 4*w - 20]', '[289, 17, -17]', '[294, 42, -7*w - 7]', '[294, 42, -7*w + 7]', '[296, 148, -2*w - 18]', '[296, 148, 2*w - 18]', '[298, 298, 3*w - 19]', '[298, 298, -3*w - 19]', '[300, 30, 10*w - 20]', '[300, 30, 10*w + 20]', '[304, 76, 8*w - 12]', '[304, 76, 8*w + 12]', '[307, 307, 7*w - 6]', '[307, 307, -7*w - 6]', '[309, 309, -11*w + 34]', '[309, 309, 5*w + 22]', '[309, 309, 5*w - 22]', '[309, 309, -11*w - 34]', '[311, 311, -9*w - 16]', '[311, 311, -9*w + 16]', '[317, 317, -w - 18]', '[317, 317, w - 18]', '[318, 318, -19*w + 47]', '[318, 318, -7*w - 5]', '[318, 318, 7*w - 5]', '[318, 318, 11*w - 23]', '[324, 18, 18]', '[324, 54, 6*w + 24]', '[324, 54, -6*w + 24]', '[324, 162, -10*w + 32]', '[324, 162, 10*w + 32]', '[327, 327, -7*w - 4]', '[327, 327, 8*w + 11]', '[327, 327, -8*w + 11]', '[327, 327, 7*w - 4]', '[329, 329, -4*w + 21]', '[329, 329, -4*w - 21]', '[332, 166, -12*w - 26]', '[332, 166, -12*w + 26]', '[333, 111, -9*w + 30]', '[333, 111, -18*w + 51]', '[333, 333, -7*w + 26]', '[333, 333, -2*w + 19]', '[333, 333, 2*w + 19]', '[333, 333, 7*w + 26]', '[334, 334, 7*w - 3]', '[334, 334, 7*w + 3]', '[336, 84, -8*w + 28]', '[336, 84, 8*w + 28]', '[337, 337, -3*w - 20]', '[337, 337, 3*w - 20]', '[338, 26, -13*w + 39]', '[339, 339, 10*w - 19]', '[339, 339, 7*w - 2]', '[339, 339, 7*w + 2]', '[339, 339, 10*w + 19]', '[342, 114, -9*w + 15]', '[342, 114, -9*w - 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106]', '[6971, 6971, -51*w + 106]', '[6991, 6991, -44*w + 81]', '[6991, 6991, -44*w - 81]', '[6997, 6997, -114*w + 313]', '[6997, 6997, -27*w + 110]', '[7001, 7001, -20*w - 99]', '[7001, 7001, 20*w - 99]', '[7019, 7019, -42*w - 73]', '[7019, 7019, -42*w + 73]', '[7027, 7027, -62*w - 141]', '[7027, 7027, -62*w + 141]', '[7057, 7057, -93*w + 260]', '[7057, 7057, -36*w + 127]', '[7103, 7103, -48*w + 95]', '[7103, 7103, -48*w - 95]', '[7109, 7109, -29*w + 114]', '[7109, 7109, -110*w + 303]', '[7121, 7121, -8*w - 87]', '[7121, 7121, 8*w - 87]', '[7159, 7159, -32*w - 3]', '[7159, 7159, 32*w - 3]', '[7177, 7177, 9*w - 88]', '[7177, 7177, -9*w - 88]', '[7187, 7187, -54*w + 115]', '[7187, 7187, -54*w - 115]', '[7193, 7193, -17*w - 96]', '[7193, 7193, 17*w - 96]', '[7243, 7243, -46*w - 87]', '[7243, 7243, -46*w + 87]', '[7253, 7253, -11*w - 90]', '[7253, 7253, 11*w - 90]', '[7283, 7283, 39*w - 58]', '[7283, 7283, -39*w - 58]', '[7307, 7307, -42*w + 71]', '[7307, 7307, -42*w - 71]', '[7309, 7309, -39*w - 134]', '[7309, 7309, 39*w - 134]', '[7333, 7333, -3*w - 86]', '[7333, 7333, 3*w - 86]', '[7393, 7393, -51*w + 160]', '[7393, 7393, -51*w - 160]', '[7411, 7411, -41*w + 66]', '[7411, 7411, -41*w - 66]', '[7417, 7417, 24*w - 107]', '[7417, 7417, 24*w + 107]', '[7451, 7451, -45*w + 82]', '[7451, 7451, -45*w - 82]', '[7457, 7457, -4*w - 87]', '[7457, 7457, 4*w - 87]', '[7477, 7477, -54*w + 167]', '[7477, 7477, -54*w - 167]', '[7507, 7507, -38*w - 51]', '[7507, 7507, 38*w - 51]', '[7523, 7523, -33*w - 10]', '[7523, 7523, 33*w - 10]', '[7529, 7529, -49*w + 156]', '[7529, 7529, -49*w - 156]', '[7541, 7541, 2*w - 87]', '[7541, 7541, -2*w - 87]', '[7559, 7559, 33*w - 8]', '[7559, 7559, -33*w - 8]', '[7561, 7561, -60*w + 181]', '[7561, 7561, -60*w - 181]', '[7589, 7589, 26*w + 111]', '[7589, 7589, 26*w - 111]', '[7591, 7591, -49*w - 96]', '[7591, 7591, -49*w + 96]', '[7607, 7607, 33*w - 4]', '[7607, 7607, -33*w - 4]', '[7643, 7643, -54*w - 113]', '[7643, 7643, -54*w + 113]', '[7669, 7669, -6*w - 89]', '[7669, 7669, 6*w - 89]', '[7673, 7673, -112*w + 309]', '[7673, 7673, -31*w + 120]', '[7681, 7681, 3*w - 88]', '[7681, 7681, -3*w - 88]', '[7691, 7691, -66*w - 151]', '[7691, 7691, -66*w + 151]', '[7699, 7699, -50*w + 99]', '[7699, 7699, -50*w - 99]', '[7703, 7703, -36*w - 37]', '[7703, 7703, 36*w - 37]', '[7727, 7727, -69*w - 160]', '[7727, 7727, -69*w + 160]', '[7753, 7753, -33*w + 124]', '[7753, 7753, -108*w + 299]', '[7757, 7757, -7*w - 90]', '[7757, 7757, 7*w - 90]', '[7759, 7759, -43*w - 72]', '[7759, 7759, -43*w + 72]', '[7793, 7793, -88*w + 249]', '[7793, 7793, -43*w + 144]', '[7841, 7841, -100*w + 279]', '[7841, 7841, -37*w + 132]', '[7867, 7867, 34*w - 15]', '[7867, 7867, -34*w - 15]', '[7877, 7877, -19*w - 102]', '[7877, 7877, 19*w - 102]', '[7921, 89, -89]', '[7927, 7927, -44*w + 75]', '[7927, 7927, -44*w - 75]', '[7933, 7933, 18*w - 101]', '[7933, 7933, -18*w - 101]', '[7949, 7949, -10*w - 93]', '[7949, 7949, 10*w - 93]', '[7951, 7951, 40*w - 57]', '[7951, 7951, -40*w - 57]', '[8009, 8009, -16*w - 99]', '[8009, 8009, 16*w - 99]', '[8011, 8011, 34*w - 9]', '[8011, 8011, -34*w - 9]', '[8017, 8017, -12*w - 95]', '[8017, 8017, 12*w - 95]', '[8039, 8039, -60*w - 131]', '[8039, 8039, -60*w + 131]', '[8089, 8089, -36*w + 131]', '[8089, 8089, -105*w + 292]', '[8093, 8093, -w - 90]', '[8093, 8093, w - 90]', '[8101, 8101, -42*w + 143]', '[8101, 8101, -93*w + 262]', '[8111, 8111, -36*w - 31]', '[8111, 8111, 36*w - 31]', '[8117, 8117, -101*w + 282]', '[8117, 8117, -38*w + 135]', '[8123, 8123, -42*w - 65]', '[8123, 8123, -42*w + 65]', '[8147, 8147, 39*w - 50]', '[8147, 8147, -39*w - 50]', '[8167, 8167, -41*w - 60]', '[8167, 8167, 41*w - 60]', '[8179, 8179, -55*w - 114]', '[8179, 8179, -55*w + 114]', '[8231, 8231, -36*w - 29]', '[8231, 8231, 36*w - 29]', '[8233, 8233, -57*w + 176]', '[8233, 8233, -57*w - 176]', '[8263, 8263, -56*w + 117]', '[8263, 8263, -56*w - 117]', '[8269, 8269, -9*w - 94]', '[8269, 8269, 9*w - 94]', '[8287, 8287, 37*w - 36]', '[8287, 8287, -37*w - 36]', '[8291, 8291, -66*w + 149]', '[8291, 8291, -66*w - 149]', '[8297, 8297, -52*w - 165]', '[8297, 8297, -52*w + 165]', '[8317, 8317, -63*w + 190]', '[8317, 8317, -63*w - 190]', '[8353, 8353, 27*w + 116]', '[8353, 8353, 27*w - 116]', '[8363, 8363, -69*w + 158]', '[8363, 8363, -69*w - 158]', '[8369, 8369, -11*w - 96]', '[8369, 8369, 11*w - 96]', '[8419, 8419, -58*w - 123]', '[8419, 8419, -58*w + 123]', '[8429, 8429, 14*w - 99]', '[8429, 8429, -14*w - 99]', '[8431, 8431, -35*w - 12]', '[8431, 8431, 35*w - 12]', '[8447, 8447, -36*w - 25]', '[8447, 8447, 36*w - 25]', '[8513, 8513, -128*w + 351]', '[8513, 8513, -29*w + 120]', '[8521, 8521, -48*w - 157]', '[8521, 8521, -48*w + 157]', '[8537, 8537, 4*w - 93]', '[8537, 8537, -4*w - 93]', '[8539, 8539, -35*w - 6]', '[8539, 8539, 35*w - 6]', '[8543, 8543, -36*w - 23]', '[8543, 8543, 36*w - 23]', '[8597, 8597, -91*w + 258]', '[8597, 8597, -46*w + 153]', '[8599, 8599, -40*w - 51]', '[8599, 8599, 40*w - 51]', '[8623, 8623, -61*w + 132]', '[8623, 8623, -61*w - 132]', '[8627, 8627, 42*w - 61]', '[8627, 8627, -42*w - 61]', '[8677, 8677, -42*w - 145]', '[8677, 8677, 42*w - 145]', '[8681, 8681, -103*w + 288]', '[8681, 8681, -40*w + 141]', '[8689, 8689, -51*w + 164]', '[8689, 8689, -51*w - 164]', '[8699, 8699, -45*w - 74]', '[8699, 8699, -45*w + 74]', '[8707, 8707, -49*w - 90]', '[8707, 8707, -49*w + 90]', '[8737, 8737, -24*w - 113]', '[8737, 8737, 24*w - 113]', '[8761, 8761, -33*w + 128]', '[8761, 8761, -120*w + 331]', '[8783, 8783, -36*w - 17]', '[8783, 8783, 36*w - 17]', '[8819, 8819, -57*w + 118]', '[8819, 8819, -57*w - 118]', '[8821, 8821, 27*w + 118]', '[8821, 8821, 27*w - 118]', '[8839, 8839, -65*w - 144]', '[8839, 8839, -65*w + 144]', '[8849, 8849, -35*w + 132]', '[8849, 8849, -116*w + 321]', '[8867, 8867, -42*w - 59]', '[8867, 8867, 42*w - 59]', '[8923, 8923, -67*w - 150]', '[8923, 8923, -67*w + 150]', '[8929, 8929, -45*w + 152]', '[8929, 8929, -96*w + 271]', '[8933, 8933, 22*w - 111]', '[8933, 8933, -22*w - 111]', '[8941, 8941, -57*w - 178]', '[8941, 8941, -57*w + 178]', '[8951, 8951, 36*w - 11]', '[8951, 8951, -36*w - 11]', '[8963, 8963, -54*w + 107]', '[8963, 8963, -54*w - 107]', '[8969, 8969, -41*w + 144]', '[8969, 8969, -104*w + 291]', '[9007, 9007, -37*w - 24]', '[9007, 9007, 37*w - 24]', '[9013, 9013, -21*w - 110]', '[9013, 9013, 21*w - 110]', '[9041, 9041, 5*w - 96]', '[9041, 9041, -5*w - 96]', '[9043, 9043, -71*w - 162]', '[9043, 9043, -71*w + 162]', '[9091, 9091, -74*w - 171]', '[9091, 9091, -74*w + 171]', '[9103, 9103, -76*w + 177]', '[9103, 9103, -76*w - 177]', '[9109, 9109, -66*w + 199]', '[9109, 9109, -66*w - 199]', '[9127, 9127, -52*w + 99]', '[9127, 9127, -52*w - 99]', '[9137, 9137, 19*w - 108]', '[9137, 9137, -19*w - 108]', '[9157, 9157, 6*w - 97]', '[9157, 9157, -6*w - 97]', '[9181, 9181, -18*w - 107]', '[9181, 9181, 18*w - 107]', '[9187, 9187, -46*w + 75]', '[9187, 9187, -46*w - 75]', '[9203, 9203, 39*w - 38]', '[9203, 9203, -39*w - 38]', '[9209, 9209, -w - 96]', '[9209, 9209, w - 96]', '[9221, 9221, 13*w - 102]', '[9221, 9221, -13*w - 102]', '[9239, 9239, -48*w - 83]', '[9239, 9239, -48*w + 83]', '[9241, 9241, -15*w - 104]', '[9241, 9241, 15*w - 104]', '[9277, 9277, -33*w + 130]', '[9277, 9277, -126*w + 347]', '[9293, 9293, -23*w - 114]', '[9293, 9293, 23*w - 114]', '[9323, 9323, -42*w - 55]', '[9323, 9323, 42*w - 55]', '[9343, 9343, 43*w - 60]', '[9343, 9343, -43*w - 60]', '[9349, 9349, -51*w + 166]', '[9349, 9349, -51*w - 166]', '[9371, 9371, -51*w - 94]', '[9371, 9371, -51*w + 94]', '[9377, 9377, -56*w + 177]', '[9377, 9377, -56*w - 177]', '[9409, 97, -97]', '[9433, 9433, 9*w - 100]', '[9433, 9433, -9*w - 100]', '[9437, 9437, -94*w + 267]', '[9437, 9437, -49*w + 162]', '[9439, 9439, 37*w - 12]', '[9439, 9439, -37*w - 12]', '[9461, 9461, -37*w + 138]', '[9461, 9461, -118*w + 327]', '[9463, 9463, -41*w - 48]', '[9463, 9463, 41*w - 48]', '[9467, 9467, -66*w + 145]', '[9467, 9467, -66*w - 145]', '[9473, 9473, -32*w + 129]', '[9473, 9473, -131*w + 360]', '[9491, 9491, 39*w - 34]', '[9491, 9491, -39*w - 34]', '[9511, 9511, -55*w - 108]', '[9511, 9511, -55*w + 108]', '[9521, 9521, -20*w - 111]', '[9521, 9521, 20*w - 111]', '[9539, 9539, 42*w - 53]', '[9539, 9539, -42*w - 53]', '[9547, 9547, 37*w - 6]', '[9547, 9547, -37*w - 6]', '[9551, 9551, -45*w - 68]', '[9551, 9551, 45*w - 68]', '[9601, 9601, -12*w - 103]', '[9601, 9601, 12*w - 103]', '[9613, 9613, 18*w - 109]', '[9613, 9613, -18*w - 109]', '[9623, 9623, -39*w - 32]', '[9623, 9623, 39*w - 32]', '[9629, 9629, -65*w + 198]', '[9629, 9629, -65*w - 198]', '[9631, 9631, -56*w + 111]', '[9631, 9631, -56*w - 111]', '[9661, 9661, 15*w - 106]', '[9661, 9661, -15*w - 106]', '[9679, 9679, 40*w - 39]', '[9679, 9679, -40*w - 39]', '[9689, 9689, -4*w - 99]', '[9689, 9689, 4*w - 99]', '[9697, 9697, -36*w + 137]', '[9697, 9697, -123*w + 340]', '[9719, 9719, -72*w - 163]', '[9719, 9719, -72*w + 163]', '[9743, 9743, -51*w - 92]', '[9743, 9743, -51*w + 92]', '[9769, 9769, -60*w - 187]', '[9769, 9769, -60*w + 187]', '[9781, 9781, 27*w - 122]', '[9781, 9781, 27*w + 122]', '[9791, 9791, -75*w + 172]', '[9791, 9791, -75*w - 172]', '[9803, 9803, -54*w + 103]', '[9803, 9803, -54*w - 103]', '[9829, 9829, -30*w + 127]', '[9829, 9829, -141*w + 386]', '[9857, 9857, 44*w - 153]', '[9857, 9857, -44*w - 153]', '[9859, 9859, -58*w - 117]', '[9859, 9859, -58*w + 117]', '[9883, 9883, 38*w - 15]', '[9883, 9883, -38*w - 15]', '[9887, 9887, -48*w + 79]', '[9887, 9887, -48*w - 79]', '[9931, 9931, -50*w - 87]', '[9931, 9931, -50*w + 87]', '[9941, 9941, -58*w + 183]', '[9941, 9941, -58*w - 183]', '[9949, 9949, -6*w - 101]', '[9949, 9949, 6*w - 101]', '[9967, 9967, -59*w + 120]', '[9967, 9967, -59*w - 120]']}
• 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': [-7, 0, 1], 'conductor': 28, 'degree': 2, 'dirichlet_group': [1, 27], 'disc_abs': 28, 'disc_rad': 14, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[1, 2]]], [5, [[2, 1]]], [7, [0]], [11, [[2, 1]]], [13, [[2, 1]]], [17, [[2, 1]]], [19, [[1, 2]]], [23, [[2, 1]]], [29, [[1, 2]]], [31, [[1, 2]]], [37, [[1, 2]]], [41, [[2, 1]]], [43, [[2, 1]]], [47, [[1, 2]]], [53, [[1, 2]]], [59, [[1, 2]]]], 'gal_is_abelian': True, 'gal_is_cyclic': True, 'gal_is_solvable': True, 'galois_disc_exponents': [2, 1], 'galois_label': '2T1', 'galt': 1, 'grd': 5.291502622129181, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '2.2.28.1', 'local_algs': ['2.2.2.1', '7.2.1.1'], 'monogenic': 1, 'num_ram': 2, 'r2': 0, 'ramps': [2, 7], 'rd': 5.29150262213, 'regulator': {'__RealLiteral__': 0, 'data': '2.76865938331', 'prec': 44}, 'res': {}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( 3 a - 8 \\)'], 'used_grh': False, 'zk': ['1', 'a']}