Hilbert modular form data - 2.2.24.1-38.2-a

Formats: - HTML - YAML - JSON - 2024-05-03T05:36:54.578693

• 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': 2, 'disc': 24, 'field_bad_primes': [2, 3], 'field_label': '2.2.24.1', 'is_CM': 'no', 'is_base_change': 'no', 'label': '2.2.24.1-38.2-a', 'label_nsuffix': 0, 'label_suffix': 'a', 'level_bad_primes': [2, 19], 'level_ideal': '[38,38,3*w - 4]', 'level_label': '38.2', 'level_norm': 38, 'parallel_weight': 2, 'short_label': '38.2-a', 'weight': '[2, 2]'}
• hmf_hecke •

  Column	Type
  AL_eigenvalues	jsonb
  hecke_eigenvalues	jsonb
  hecke_polynomial	text
  label	text

  
  {'AL_eigenvalues': [['[2,2,w + 2]', -1], ['[19,19,w + 5]', -1]], 'hecke_eigenvalues': [1, 'e', 'e + 2', '-e + 1', 1, '-e - 3', 'e + 2', '-2*e - 4', '2*e + 4', 'e - 1', '-2*e - 2', '-e - 6', 12, '-3*e - 3', -4, '-4*e - 2', '6*e + 12', '-e - 9', '-e - 9', '-6*e - 12', 0, '2*e + 12', '4*e + 4', '8*e + 12', '-e - 6', '2*e + 4', '2*e + 4', '2*e + 6', '7*e + 4', '6*e + 8', '-3*e - 18', '3*e + 12', 2, '-3*e - 13', '5*e - 5', '3*e + 12', '4*e - 8', '-8*e - 10', '3*e', '8*e + 16', '-6*e', '-6*e + 2', '9*e + 23', '4*e + 2', '-3*e - 15', '-10*e - 18', '8*e + 18', '9*e + 15', '12*e + 12', '6*e + 2', '-3*e - 16', '-7*e - 14', '6*e + 6', '-4*e - 2', '-9*e - 18', '-6*e - 16', '-7*e - 12', '5*e', '-e - 26', '-2*e + 14', '4*e + 22', -16, '11*e + 7', -12, '6*e + 20', '-10*e - 24', '3*e + 18', '4*e + 32', '12*e + 14', '-6*e - 22', '-8*e - 8', '5*e - 6', '-4*e - 20', 36, '-e + 6', '7*e + 1', '-3*e + 18', '-9*e - 21', '-6*e - 18', '-4*e + 10', '-12*e - 28', '-3*e + 17', '19*e + 32', '17*e + 31', '-3*e + 14', '4*e - 14', '-2*e + 34', '6*e + 2', '-12*e - 12', '-6*e - 18', 12, '-2*e + 20', '-4*e - 24', '-4*e + 30', '-12*e - 6', '-11*e - 10', '-20*e - 22', '5*e - 5', '4*e + 22', -16, '-7*e - 18', '-16*e - 36', '-6*e + 6', '22*e + 38', '8*e', '11*e + 15', '-12*e - 22', '-7*e - 15', '-6*e - 42', '6*e', '2*e', '11*e + 18', '-9*e + 8', '6*e + 2', '-11*e - 14', '8*e + 18', '8*e + 40', '9*e + 27', '-10*e - 8', '-12*e - 18', '12*e + 32', '5*e + 33', '-6*e - 18', '-8*e - 10', '-11*e + 7', '16*e + 34', 18, '15*e + 12', '-6*e - 12', 'e - 31', '-9*e + 20', '-4*e', '16*e + 32', '18*e + 42', '-8*e - 8', '-8*e - 8', '20*e + 46', '-7*e - 44', '-e - 18', '-12*e - 28', '3*e + 3', '-2*e + 32', '-12*e - 4', '21*e + 26', '-3*e + 15', '9*e + 21', '-15*e - 27', '19*e + 17', '-15*e - 25', '8*e + 18', '-22*e - 38', '4*e + 2', '-8*e - 2', '11*e + 30', '-15*e - 51', '8*e - 8', '14*e + 42', '-18*e - 46', '-3*e - 12', '5*e + 10', '20*e + 48', '-10*e - 48', 6, '12*e + 48', '-7*e + 18', '14*e + 28', '12*e + 54', '-13*e - 45', '-4*e', '15*e - 9', '-9*e - 39', '-18*e - 30', '-19*e - 35', '4*e - 8', '-20*e - 20', '20*e + 54', '-24*e - 40', '12*e + 24', '6*e + 12', '-2*e + 14', '-7*e + 25', '-6*e - 36', '6*e + 60', '-18*e - 46', '-10*e - 24', '11*e + 33', '12*e + 2', '13*e + 11', '-10*e - 14', '-5*e + 13', '-2*e - 26', '4*e - 32', '-14*e - 14', '4*e - 4', '5*e + 37', '-4*e + 30', '5*e - 6', '7*e + 44', '-14*e + 2', '-8*e + 2', '-30*e - 36', '-20*e - 20', '-5*e - 53', '-9*e - 63', '27*e + 27', '4*e + 34', '10*e + 10', '-7*e - 24', '11*e - 15', '12*e + 48', '10*e - 16', '3*e + 57', '5*e - 32', '29*e + 45', '-20*e - 56', '14*e + 52', '6*e - 42', '-14*e - 32', '-12*e + 18', '12*e - 6', '8*e + 4', '-12*e + 12', '-6*e + 26', '-14*e - 50', '-4*e - 12', '-10*e - 42', 12, '-13*e - 35', '-8*e + 10', '-19*e - 27', '-16*e - 62', '4*e - 34', '-16*e - 62', '-18*e - 54', -34, '-29*e - 53', '-12*e - 30', '16*e + 20', '-21*e - 37', '7*e + 40', '22*e + 20', '-13*e - 2', '-15*e + 12', '2*e - 56', '-2*e + 52', '-31*e - 48', 'e + 35', '-e + 34', '-4*e + 24', '8*e - 24', '-7*e - 8', '24*e + 12', '-17*e - 2', '-15*e - 10', '40*e + 64', '-18*e - 10', '14*e + 24', '5*e - 56', '-6*e - 30', '24*e + 62', '-4*e + 66', '20*e + 34', '-2*e - 40', -34, '24*e + 32', '16*e + 70', '16*e + 16', '4*e - 20', '-39*e - 64', '3*e + 35', '8*e - 12', '16*e - 22', '-6*e - 60', '-e + 70', -60, '-25*e - 30', '10*e + 46', '6*e - 24', '-27*e - 18', '-22*e - 36', '-20*e + 10', '-17*e + 11', '2*e - 56', '7*e - 25', '-39*e - 48', '-16*e + 16', '-12*e - 18', '-5*e - 4', '-21*e - 21', '-34*e - 36', '-5*e - 71', '13*e - 29', '-7*e + 24', '-20*e - 46', '-9*e - 45', '32*e + 48', '28*e + 10', '-8*e - 2', '23*e + 9', '-33*e - 24', '-12*e + 18', '11*e - 41', '24*e + 78', '-8*e - 22', '-14*e - 34', '-26*e - 26', '2*e - 30', '12*e + 24', '-15*e - 12', '-3*e + 23', -70, '9*e + 33', '13*e - 37', '-37*e - 33', '-13*e - 21', '3*e - 40', '-25*e - 36', '2*e - 30', '18*e + 14', '-7*e + 28', '6*e + 12', '13*e + 58', '36*e + 74', '-13*e - 63', '-11*e + 10', '-7*e - 9', '-17*e - 50', '-12*e + 24', '-e + 16', '-27*e - 72', '-5*e - 25', '-14*e - 82', '-e - 35', '-33*e - 73', '26*e + 42', '21*e + 65', '-11*e - 23', '22*e + 62', 'e - 70', '29*e + 76', '-30*e - 12', '-27*e - 55', '-13*e + 24', '-6*e + 54', '6*e - 48', '-30*e - 60', '-20*e - 46', '32*e + 84', '-40*e - 60', '-31*e - 63', '-4*e + 18', '16*e + 14', '24*e', '-33*e - 15', '-30*e - 18', '-e - 2', '-9*e + 12', '28*e + 14', '-6*e - 48', '8*e - 48', '22*e + 58', '24*e + 2', '4*e + 82', '-5*e + 14', 66, '17*e - 30', '-10*e - 84', '32*e + 90', '4*e - 14', '20*e + 88', '-e + 82', '-20*e - 16', 'e - 19', '18*e', '12*e + 96', '4*e - 14', '18*e - 16', '13*e + 28', '12*e + 86', '-12*e - 84', '25*e + 56', '11*e - 3', 'e + 10', '14*e + 16', '4*e + 38', '-5*e + 31', '-24*e - 82', '12*e + 48', '20*e - 2', '-34*e - 36', '7*e + 97', '8*e - 2', '-24*e', '-9*e + 17', '-4*e + 24', '17*e + 61', '-17*e + 26', '-11*e - 23', '18*e + 50', '-2*e - 14', '36*e + 50', '-6*e - 42', '8*e + 82', '-25*e - 53', '28*e - 4', '-36*e - 22', '-6*e + 20', '-8*e - 50', '33*e + 29', '-20*e + 2', '6*e - 12', '25*e + 79', '40*e + 46', '13*e + 25', '15*e - 10', '-27*e - 81', '-23*e - 43', '29*e + 10', '-5*e - 52', '-3*e - 63', '-15*e + 3', '54*e + 84', '-7*e - 68', '38*e + 76', '11*e + 67', '2*e - 24', '-9*e - 7', '-3*e + 90', '-12*e - 18', '26*e + 60', '-15*e + 35', '-25*e + 22', '-52*e - 86', '12*e - 16', '-28*e - 18', '36*e + 68', '11*e + 33', '-29*e - 46', '16*e + 80', '-8*e + 58', '31*e + 10', '31*e + 1', '-3*e + 2', '3*e + 48', '41*e + 67', '10*e + 4', '42*e + 38', '11*e - 12', '40*e + 34', '30*e + 96', '-2*e - 64', '-4*e + 54', '8*e + 6', '24*e + 14', '50*e + 72', '-4*e - 14', '12*e + 30', '-37*e - 36', '16*e + 22', '-19*e - 41', '-14*e - 88', '-18*e - 70', '-34*e - 60', '-10*e', '32*e + 48', '5*e + 81', '15*e + 95', '-14*e + 40', '11*e - 60', '-16*e - 104', '2*e + 58', '-39*e - 73', '5*e + 75', '-19*e - 62', '40*e + 98', '7*e + 104', '22*e + 62', '-10*e - 56', '-16*e - 14', '17*e + 99', '-6*e - 52', '36*e + 74', '8*e - 30', '6*e - 54', '29*e + 79', 'e - 5', 44, '-21*e - 88', 54, '-10*e + 22', '44*e + 60', '-25*e - 42', '9*e + 33', '-12*e + 36', '-22*e + 18', '32*e + 72', '3*e + 45', '3*e + 63', '-12*e - 52', '27*e + 62', '-4*e - 74', '-23*e - 34', '-31*e - 41', '11*e - 56', '-e + 3', '16*e + 16', '13*e + 56', '-6*e - 66', '29*e + 48', '-28*e + 6', '26*e + 28', '5*e + 49', '11*e - 51', '-10*e - 48', '-15*e - 76', '-32*e - 62', '-12*e - 12', '31*e + 5', '57*e + 81', '-21*e - 75', '-17*e + 10', '32*e + 48', '9*e + 5', '-22*e - 104', '3*e + 39', '-12*e - 16', '-44*e - 50', '10*e - 80', '17*e + 27', '16*e - 10', '8*e + 94', '12*e + 102', '9*e + 51', '-45*e - 33', '10*e + 80', '-4*e + 18', '31*e + 94', '-e + 51', '-11*e - 71', '-27*e - 102', '4*e - 10', '-18*e - 24', '33*e + 51', '16*e - 20', '3*e + 32', '-9*e + 39', 30, '30*e + 104', '-56*e - 92', '12*e + 36', 'e + 71', '13*e + 29', '23*e + 16', '-15*e + 38', '-12*e - 28', '23*e + 18', '2*e - 60', '16*e - 2', '-5*e - 26', '-20*e - 52', '3*e', '11*e - 21', '-5*e + 16', '48*e + 84', '14*e - 68', '-19*e + 48', '-41*e - 80', '15*e + 69', '6*e + 78', '-4*e - 42', '27*e + 23', '18*e + 90', '-45*e - 45', '-12*e - 40', '42*e + 68', '31*e + 82', '-26*e + 40', '16*e - 56', '9*e + 53', '12*e - 12', '-6*e - 84', '-28*e - 72', '14*e + 84', '7*e - 58', '-e + 28', '-40*e - 104', '28*e + 2', '42*e + 56', '30*e + 50', '12*e + 92', '25*e + 40', '45*e + 29', '-56*e - 80', '-30*e - 48', '28*e + 8', '-12*e - 124', '-37*e - 105', '24*e + 12', '45*e + 72', '20*e + 10', '22*e + 2', '21*e + 30', '6*e - 54', '13*e - 22', '-10*e + 34', '25*e - 5', '6*e + 44', '-24*e + 6', 36, '48*e + 80', '-19*e - 111', '50*e + 100', '-54*e - 78', '30*e + 68', '-13*e - 111', '-9*e + 14', '-4*e + 48', '3*e + 42', '24*e + 120', '-37*e - 42', '-5*e - 62', '-10*e + 34', '-e + 61', '-19*e - 72', '-66*e - 100', '11*e + 103', '51*e + 60', '28*e + 4', '38*e + 18', '28*e + 10', '-36*e - 58', '-36*e - 72', '40*e + 56', -48, '15*e', '22*e - 8', '-45*e - 37', '-16*e - 66', '-16*e - 120', '-53*e - 76', '-48*e - 114', 'e + 50', '20*e + 82', '-14*e + 32', '39*e + 36', '-52*e - 66', '-21*e - 28', '-27*e - 24', '-66*e - 102', '-2*e - 46', '21*e + 78', '42*e + 36', '-37*e - 53', '49*e + 86', '3*e - 45', '-28*e - 86', '12*e + 96', '2*e + 48', '13*e + 4', 78, '40*e + 116', '51*e + 86', '6*e + 104', '47*e + 108', '8*e - 60', '23*e + 87', 'e + 40', 'e + 68', '-9*e - 54', '26*e + 112', '5*e - 20', '-6*e - 100', '31*e + 49', '42*e + 42', '-6*e', '-27*e - 103', '-5*e - 56', '-16*e - 6', '24*e - 58', '-3*e + 116', '-26*e - 8', '18*e + 42', '3*e - 15', '27*e - 28', '-22*e + 6', '-46*e - 42', '-42*e - 112', -6, '21*e + 81', '-17*e + 37', '-30*e - 46', '-50*e - 106', '32*e + 70', '17*e - 8', '-9*e - 93', '61*e + 104', '-4*e - 122', '24*e + 110', '-13*e - 39', '20*e + 112', '-3*e + 33', '14*e - 20', '8*e - 86', '24*e + 44', '37*e + 73', '50*e + 58', '3*e + 3', '-29*e + 10', '35*e + 78', '-34*e - 38', '-26*e - 106', '20*e + 82', '12*e - 66', '2*e + 28', '-30*e + 12', '5*e + 81', '48*e + 44', '36*e + 8', '-4*e - 102', '32*e + 30', '47*e + 24', '41*e + 34', '-25*e - 89', 6, '18*e - 12', '22*e + 32', '-9*e - 33', '24*e + 24', '33*e - 3', '-22*e - 114', '32*e - 6', '10*e - 38', '-54*e - 52', -46, '-28*e - 42', '69*e + 123', '3*e + 27', '24*e + 132', '-30*e + 6', '32*e - 14', '-18*e - 102', '16*e + 124', '28*e - 32', '9*e + 8', '22*e + 64', '-40*e - 38', '-6*e - 48', '-20*e - 14', '18*e - 4', '43*e + 91', '-8*e + 52', '-40*e - 32', '-19*e - 26', '18*e + 60', '-21*e + 18', '12*e - 90', '27*e + 3', '8*e - 72', '-37*e - 81', '11*e + 46', '34*e + 8', '-48*e - 76', '10*e - 38', '-16*e - 2', '-25*e - 110', '18*e - 42', '-12*e + 42', '-21*e - 96', '-40*e - 128', '6*e - 82', '-16*e - 102', '-57*e - 130', '-53*e - 38', '-8*e + 4', 26, '-3*e - 66', '4*e + 50', '-9*e + 30', 12, 'e + 100', '38*e + 114', '34*e + 62', '74*e + 100', '-20*e + 64', '36*e + 56', '18*e + 78', '36*e + 42', '-14*e - 38', '-6*e - 70', '-21*e - 18', '-6*e - 6', '-22*e - 92', '-48*e - 78', '-27*e + 23', '18*e - 76', '6*e - 42', '36*e - 36', '-52*e - 56', '12*e - 6', '-46*e - 120', '29*e + 12', '27*e - 1', '-6*e + 50', '25*e - 29', '18*e + 134', '39*e + 42', '-36*e + 36', '8*e + 42', '-12*e + 68', '-43*e - 137', '22*e + 116', '23*e + 51', '34*e + 34', 36, '-48*e - 96', '36*e + 96', '57*e + 120', '24*e - 40', '-5*e + 130', '-16*e + 72', '-8*e - 68', '-45*e - 114', '-24*e', '-47*e - 50', '-43*e - 35', '4*e + 56', '-24*e + 66', '-28*e - 26', '12*e + 12', '-38*e - 112', '-27*e - 60', '-32*e - 40', '-62*e - 112', '-24*e - 120', '-68*e - 86', '11*e + 3', '-40*e - 104', '-17*e + 65', '-4*e - 102', '-24*e - 22', '-19*e + 3', '41*e + 87', 72, '14*e + 52', '-70*e - 96', '5*e - 99', '-22*e + 60', '-18*e + 44', '-4*e - 36', '-19*e - 57', '-31*e - 15', -58, '10*e - 26', '27*e + 95', '45*e + 45', '-15*e + 51', '13*e - 32', 'e + 43', '37*e + 133', '6*e + 68', '30*e + 86', '-29*e - 2', '-33*e - 54', '19*e + 8', '-32*e - 112', '13*e - 49', '49*e + 133', '36*e + 50', '2*e - 104', '-33*e - 126', '46*e + 10', '-72*e - 112', '-36*e - 76', '-16*e + 60', '56*e + 142', '-33*e - 87', '-33*e - 60', '-45*e - 138', '-21*e - 64', '-13*e + 12', '-40*e - 122', '12*e + 30', '24*e + 110', '-5*e - 71', '17*e - 3', 38, '39*e + 12', '46*e + 38', '16*e + 110', '36*e + 66', '-20*e - 56', '9*e + 125', '-30*e - 64', '-11*e - 95', '-33*e - 61', '-23*e + 38', '43*e + 80', '23*e - 23', '-28*e + 10', '-22*e + 10', '-3*e - 84', '42*e + 44', '50*e + 120', '58*e + 56', '6*e + 12', '19*e + 71', '-6*e', '-26*e - 50', '65*e + 99', '-41*e - 95', '-16*e + 102', '-20*e - 130', '41*e + 67', '-48*e - 66', -60, '-15*e - 39', '42*e + 12', '-20*e + 80', '4*e + 74', '50*e + 72', '-4*e - 36', '-18*e + 42', '-11*e - 4', '12*e - 52', '-49*e - 105', '-5*e - 23', '9*e - 106', '5*e + 109', '-7*e + 31', '28*e + 112', '-4*e + 24', '-46*e - 110', '2*e + 58', '34*e + 44', '29*e + 73', '40*e + 118', '29*e + 135', '40*e + 88', '16*e + 22', '15*e + 90', '16*e + 14', '-30*e - 16', '14*e - 30', '-49*e - 105', '10*e + 10', '54*e + 68', '7*e - 95', '-12*e + 14', '-49*e - 27', '-16*e - 90', '-63*e - 91', '-9*e - 90', '-18*e - 54', '-44*e - 2', '-10*e + 24', '72*e + 92', '-e + 33', '34*e + 128', '36*e + 66', '22*e + 106', '-64*e - 90', '-42*e - 48', '-2*e - 100', -18, '-e - 104', '-16*e + 66', '-34*e + 30', '18*e + 42', '-26*e + 2', '-4*e - 62', '19*e - 28', '72*e + 80', '27*e + 98', '43*e + 29', '-44*e - 100', '-32*e + 34', '10*e - 80', '-31*e - 87', '-10*e + 72', '-21*e - 24', '49*e + 11', '-63*e - 124', '-4*e + 126', '-72*e - 84', '-55*e - 152', '42*e + 26', '48*e + 110', '6*e - 24', '-68*e - 52', 84, '-36*e + 48', '-42*e - 84', '-2*e + 44', '-4*e + 4', '-26*e - 106', '24*e + 50', '7*e - 44', '29*e + 144', '13*e - 89', '33*e + 123', '-57*e - 102', '57*e + 123', '-77*e - 106', '48*e + 96', '49*e + 65', '2*e - 78', '-e - 92', '71*e + 70', '15*e + 101', '-12*e + 20', '-12*e + 50', '-14*e + 4', '11*e + 30', '-43*e - 105', '39*e + 59', '66*e + 140', '-44*e - 136', '27*e + 84', '-24*e + 56', '-15*e - 88', '-37*e - 143', '2*e + 34', '25*e + 59', '39*e - 33', '9*e + 89', '86*e + 132', '21*e + 144', '-12*e - 120', '-24*e + 36', '-30*e - 12', '-46*e - 14', '24*e + 48', '26*e + 12', '15*e - 106', '-4*e - 66', '-49*e - 156', '-41*e - 158', '31*e + 94', '3*e - 60', '66*e + 102', '-39*e - 115', '51*e + 38', '67*e + 113', '-6*e + 36', '-19*e + 90', '-23*e - 110', '20*e + 66', '-76*e - 90', '37*e + 22', '5*e + 69', '-12*e - 64', '-12*e - 172', '2*e + 82', '29*e + 28', 'e + 74', '24*e + 36', '-39*e + 14', '30*e + 62', '-12*e + 36', '-19*e - 44', '44*e + 84', '67*e + 154', '-16*e - 2', '9*e + 33', '20*e + 126', '-45*e - 100', 116, '-46*e - 24', '42*e + 6', '6*e + 60', '3*e - 115', '-31*e - 6', '-12*e - 36', '20*e + 34', '-42*e - 54', '-26*e - 46', '-22*e + 90', '-e + 6', '-41*e - 109', '-8*e - 16', '6*e - 66', '-36*e - 78', '27*e - 4', '69*e + 152', '-6*e + 150', '-57*e - 42', '-29*e + 22', '2*e + 114', '-61*e - 33', '-15*e + 53', '29*e + 30', '47*e + 66', 'e - 95', '67*e + 127', '-48*e - 12', -60, '59*e + 21', '-24*e + 2', '17*e + 126', '-10*e + 72', '38*e + 28', '-17*e + 50', '-16*e - 96', '69*e + 104', '-80*e - 106', '-2*e - 94', '-16*e + 4', '-33*e - 36', '33*e + 156', '-18*e - 54', '-14*e - 46', '12*e - 6', '-56*e - 86', '-2*e - 32', '56*e + 66', '4*e - 104', '-54*e - 84', '21*e - 15', '-55*e - 80', '3*e + 174', '72*e + 98', '8*e - 24', '7*e + 134', '63*e + 36', '20*e + 120', '-21*e - 148', '9*e + 39', '-16*e + 22', '54*e + 26', '-60*e - 58', '6*e + 62', '-42*e - 124', '-22*e + 84', '-40*e + 48', '28*e + 70', '53*e + 78', '-60*e - 144', '-53*e - 136', '23*e + 105', '3*e - 58', '-26*e + 38', '40*e + 98', '-36*e - 12', '-96*e - 132', '32*e + 96', '42*e + 110', '20*e + 24', '23*e - 96', '-45*e - 21', '10*e + 56', '41*e + 4', '30*e + 12', 158, '32*e + 84', '7*e + 80', '6*e - 24', '17*e + 156', '36*e + 80', '53*e + 121', '48*e - 30', '-36*e - 36', 144, '-52*e - 78', '52*e + 46', '80*e + 118', '9*e + 123', '-90*e - 132', '-55*e - 2', '33*e + 78', 12, '-24*e + 72', '93*e + 144', '32*e + 24', '-20*e - 92', '67*e + 77', '16*e + 128', '5*e + 51', '11*e + 81', '27*e + 116', '42*e - 52', '-4*e + 64', '40*e - 40', '-12*e + 66', '-32*e + 2', '11*e + 15', '15*e + 80', '-75*e - 121', '-37*e - 111', '-8*e + 80', '-4*e - 134', '18*e + 14', '-74*e - 104', '-5*e - 43', '-51*e - 147', '-44*e - 92', '23*e + 45', '60*e + 104', '5*e + 27', '-39*e - 180', -48, '-30*e + 24', '-5*e + 14', '-15*e - 72', '-36*e + 12', '-49*e - 24', '-2*e + 4', '23*e + 57', '9*e - 49', '41*e - 11', '-12*e - 78', '-69*e - 64', '48*e + 116', '-39*e - 43', '-28*e - 60', '12*e - 90', '27*e - 96', '-52*e - 138', '-24*e + 20', '-65*e - 35', '-27*e - 133', '12*e + 84', '48*e + 102', '-22*e - 48', '52*e + 142', '24*e + 62', '-20*e + 22', '-88*e - 146', '7*e - 4'], 'hecke_polynomial': 'x^2 + 3*x - 1', 'label': '2.2.24.1-38.2-a'}
• hmf_fields •

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

  
  {'degree': 2, 'discriminant': 24, 'ideals': ['[1, 1, 1]', '[2, 2, -w + 2]', '[3, 3, w - 3]', '[4, 2, 2]', '[5, 5, w + 1]', '[5, 5, w - 1]', '[6, 6, w]', '[8, 4, -2*w + 4]', '[9, 3, 3]', '[10, 10, -w - 4]', '[10, 10, w - 4]', '[12, 6, 2*w - 6]', '[15, 15, -2*w + 3]', '[15, 15, -2*w - 3]', '[16, 4, 4]', '[18, 6, -3*w + 6]', '[19, 19, w + 5]', '[19, 19, -w + 5]', '[20, 10, 2*w + 2]', '[20, 10, 2*w - 2]', '[23, 23, -2*w + 1]', '[23, 23, -2*w - 1]', '[24, 12, 2*w]', '[25, 5, 5]', '[25, 25, -2*w + 7]', '[25, 25, 2*w + 7]', '[27, 9, 3*w - 9]', '[29, 29, -3*w + 5]', '[29, 29, -3*w - 5]', '[30, 30, w + 6]', '[30, 30, -w + 6]', '[32, 8, -4*w + 8]', '[36, 6, 6]', '[38, 38, -3*w - 4]', '[38, 38, -3*w + 4]', '[40, 20, -2*w - 8]', '[40, 20, 2*w - 8]', '[43, 43, -w - 7]', '[43, 43, w - 7]', '[45, 15, 3*w + 3]', '[45, 15, 3*w - 3]', '[46, 46, -3*w + 10]', '[46, 46, 3*w + 10]', '[47, 47, 4*w - 7]', '[47, 47, 6*w - 13]', '[48, 12, 4*w - 12]', '[49, 7, -7]', '[50, 10, -5*w + 10]', '[50, 50, -3*w + 2]', '[50, 50, -3*w - 2]', '[53, 53, -3*w - 1]', '[53, 53, 3*w - 1]', '[54, 18, 3*w]', '[57, 57, 2*w - 9]', '[57, 57, -2*w - 9]', '[58, 58, w + 8]', '[58, 58, -w + 8]', '[60, 30, -4*w + 6]', '[60, 30, -4*w - 6]', '[64, 8, 8]', '[67, 67, -7*w + 19]', '[67, 67, -3*w + 11]', '[69, 69, 5*w - 9]', '[69, 69, 5*w + 9]', '[71, 71, -4*w - 5]', '[71, 71, 4*w - 5]', '[72, 12, -6*w + 12]', '[73, 73, -4*w + 13]', '[73, 73, -6*w + 17]', '[75, 15, 5*w - 15]', '[75, 75, -w - 9]', '[75, 75, w - 9]', '[76, 38, 2*w + 10]', '[76, 38, -2*w + 10]', '[80, 20, 4*w + 4]', '[80, 20, 4*w - 4]', '[81, 9, 9]', '[86, 86, 9*w - 20]', '[86, 86, 5*w - 8]', '[87, 87, 4*w - 3]', '[87, 87, 4*w + 3]', '[90, 30, -3*w - 12]', '[90, 30, 3*w - 12]', '[92, 46, -4*w + 2]', '[92, 46, -4*w - 2]', '[94, 94, -w - 10]', '[94, 94, w - 10]', '[95, 95, 6*w - 11]', '[95, 95, 4*w + 1]', '[95, 95, 4*w - 1]', '[95, 95, 6*w + 11]', '[96, 24, 4*w]', '[97, 97, 2*w - 11]', '[97, 97, -2*w - 11]', '[98, 14, 7*w - 14]', '[100, 10, 10]', '[100, 50, -4*w + 14]', '[100, 50, 4*w + 14]', '[101, 101, 5*w - 7]', '[101, 101, -5*w - 7]', '[106, 106, -5*w + 16]', '[106, 106, 7*w - 20]', '[108, 18, 6*w - 18]', '[114, 114, 5*w + 6]', '[114, 114, 5*w - 6]', '[115, 115, -w - 11]', '[115, 115, 3*w - 13]', '[115, 115, -3*w - 13]', '[115, 115, w - 11]', '[116, 58, -6*w + 10]', '[116, 58, -6*w - 10]', '[120, 60, 2*w + 12]', '[120, 60, -2*w + 12]', '[121, 11, -11]', '[125, 25, 5*w + 5]', '[125, 25, 5*w - 5]', '[125, 125, 7*w - 13]', '[125, 125, 7*w + 13]', '[128, 16, -8*w + 16]', '[129, 129, -10*w + 27]', '[129, 129, -4*w + 15]', '[134, 134, -5*w + 4]', '[134, 134, -5*w - 4]', '[135, 45, -6*w + 9]', '[135, 45, -6*w - 9]', '[138, 138, -w - 12]', '[138, 138, w - 12]', '[139, 139, -9*w + 25]', '[139, 139, -5*w + 17]', '[141, 141, -5*w - 3]', '[141, 141, -5*w + 3]', '[142, 142, 13*w - 34]', '[142, 142, -3*w + 14]', '[144, 12, 12]', '[145, 145, 6*w - 19]', '[145, 145, 2*w - 13]', '[145, 145, -2*w - 13]', '[145, 145, -6*w - 19]', '[146, 146, -5*w + 2]', '[146, 146, -5*w - 2]', '[147, 21, -7*w + 21]', '[149, 149, -5*w - 1]', '[149, 149, 5*w - 1]', '[150, 30, 5*w]', '[150, 150, 7*w + 12]', '[150, 150, 7*w - 12]', '[152, 76, -6*w - 8]', '[152, 76, -6*w + 8]', '[159, 159, 8*w - 15]', '[159, 159, -10*w + 21]', '[160, 40, -4*w - 16]', '[160, 40, 4*w - 16]', '[162, 18, -9*w + 18]', '[163, 163, -w - 13]', '[163, 163, w - 13]', '[167, 167, -6*w - 7]', '[167, 167, 6*w - 7]', '[169, 13, -13]', '[171, 57, 3*w + 15]', '[171, 57, -3*w + 15]', '[172, 86, -2*w - 14]', '[172, 86, 2*w - 14]', '[173, 173, 13*w - 29]', '[173, 173, 7*w - 11]', '[174, 174, 5*w - 18]', '[174, 174, -5*w - 18]', '[180, 30, 6*w + 6]', '[180, 30, 6*w - 6]', '[184, 92, -6*w + 20]', '[184, 92, 6*w + 20]', '[188, 94, 8*w - 14]', '[188, 94, 12*w - 26]', '[190, 190, -w - 14]', '[190, 190, 7*w - 22]', '[190, 190, -7*w - 22]', '[190, 190, w - 14]', '[191, 191, 6*w - 5]', '[191, 191, -6*w - 5]', '[192, 24, 8*w - 24]', '[193, 193, -4*w + 17]', '[193, 193, 14*w - 37]', '[194, 194, 7*w - 10]', '[194, 194, 15*w - 34]', '[196, 14, -14]', '[197, 197, 9*w - 17]', '[197, 197, -11*w + 23]', '[200, 20, -10*w + 20]', '[200, 100, -6*w + 4]', '[200, 100, -6*w - 4]', '[201, 201, 2*w - 15]', '[201, 201, -2*w - 15]', '[202, 202, -3*w + 16]', '[202, 202, 17*w - 44]', '[207, 69, -6*w + 3]', '[207, 69, -6*w - 3]', '[211, 211, -5*w - 19]', '[211, 211, 5*w - 19]', '[212, 106, -6*w - 2]', '[212, 106, 6*w - 2]', '[213, 213, 7*w - 9]', '[213, 213, -17*w + 39]', '[215, 215, -6*w - 1]', '[215, 215, -8*w + 13]', '[215, 215, -8*w - 13]', '[215, 215, -6*w + 1]', '[216, 36, 6*w]', '[219, 219, -w - 15]', '[219, 219, w - 15]', '[225, 15, 15]', '[225, 75, -6*w + 21]', '[225, 75, 6*w + 21]', '[228, 114, 4*w - 18]', '[228, 114, -4*w - 18]', '[230, 230, 7*w + 8]', '[230, 230, 9*w + 16]', '[230, 230, 9*w - 16]', '[230, 230, 7*w - 8]', '[232, 116, 2*w + 16]', '[232, 116, -2*w + 16]', '[235, 235, 3*w + 17]', '[235, 235, 7*w + 23]', '[235, 235, -7*w + 23]', '[235, 235, -3*w + 17]', '[239, 239, 10*w - 19]', '[239, 239, -12*w + 25]', '[240, 60, -8*w + 12]', '[240, 60, -8*w - 12]', '[241, 241, -8*w + 25]', '[241, 241, -10*w + 29]', '[242, 22, 11*w - 22]', '[243, 27, 9*w - 27]', '[245, 35, -7*w - 7]', '[245, 35, -7*w + 7]', '[250, 50, -5*w - 20]', '[250, 50, 5*w - 20]', '[250, 250, -w - 16]', '[250, 250, w - 16]', '[256, 16, 16]', '[258, 258, -7*w + 6]', '[258, 258, -7*w - 6]', '[261, 87, -9*w + 15]', '[261, 87, -9*w - 15]', '[263, 263, -8*w - 11]', '[263, 263, 8*w - 11]', '[265, 265, -4*w - 19]', '[265, 265, 2*w - 17]', '[265, 265, 2*w + 17]', '[265, 265, -4*w + 19]', '[268, 134, -14*w + 38]', '[268, 134, -6*w + 22]', '[269, 269, -7*w - 5]', '[269, 269, 7*w - 5]', '[270, 90, 3*w + 18]', '[270, 90, -3*w + 18]', '[276, 138, 10*w - 18]', '[276, 138, 10*w + 18]', '[278, 278, -7*w - 4]', '[278, 278, -7*w + 4]', '[282, 282, -13*w + 36]', '[282, 282, -7*w + 24]', '[283, 283, -w - 17]', '[283, 283, w - 17]', '[284, 142, -8*w - 10]', '[284, 142, 8*w - 10]', '[285, 285, -11*w + 21]', '[285, 285, -7*w + 3]', '[285, 285, -7*w - 3]', '[285, 285, -11*w - 21]', '[288, 24, -12*w + 24]', '[289, 17, -17]', '[290, 290, 9*w + 14]', '[290, 290, 7*w - 2]', '[290, 290, 7*w + 2]', '[290, 290, 9*w - 14]', '[291, 291, -5*w + 21]', '[291, 291, -17*w + 45]', '[292, 146, -8*w + 26]', '[292, 146, -12*w + 34]', '[293, 293, -7*w - 1]', '[293, 293, 7*w - 1]', '[294, 42, -7*w]', '[298, 298, -9*w + 28]', '[298, 298, 11*w - 32]', '[300, 30, 10*w - 30]', '[300, 150, -2*w - 18]', '[300, 150, 2*w - 18]', '[303, 303, -22*w + 51]', '[303, 303, 8*w - 9]', '[304, 76, 4*w + 20]', '[304, 76, -4*w + 20]', '[307, 307, 3*w - 19]', '[307, 307, -3*w - 19]', '[311, 311, -16*w + 35]', '[311, 311, 10*w - 17]', '[313, 313, -6*w - 23]', '[313, 313, 6*w - 23]', '[317, 317, 9*w - 13]', '[317, 317, 19*w - 43]', '[318, 318, -w - 18]', '[318, 318, -w + 18]', '[320, 40, 8*w + 8]', '[320, 40, 8*w - 8]', '[324, 18, 18]', '[326, 326, 15*w - 32]', '[326, 326, 11*w - 20]', '[331, 331, -7*w + 25]', '[331, 331, -15*w + 41]', '[334, 334, 19*w - 50]', '[334, 334, -5*w + 22]', '[335, 335, 12*w - 23]', '[335, 335, 8*w - 7]', '[335, 335, 8*w + 7]', '[335, 335, 12*w + 23]', '[337, 337, 2*w - 19]', '[337, 337, -2*w - 19]', '[338, 26, 13*w - 26]', '[342, 114, -9*w - 12]', '[342, 114, -9*w + 12]', '[344, 172, 18*w - 40]', '[344, 172, 10*w - 16]', '[345, 345, -4*w + 21]', '[345, 345, -8*w + 27]', '[345, 345, 8*w + 27]', '[345, 345, 4*w + 21]', '[346, 346, -3*w - 20]', '[346, 346, 3*w - 20]', '[348, 174, 8*w - 6]', '[348, 174, 8*w + 6]', '[355, 355, -w - 19]', '[355, 355, -9*w - 29]', '[355, 355, -9*w + 29]', '[355, 355, -w + 19]', '[359, 359, 8*w - 5]', '[359, 359, -8*w - 5]', '[360, 60, -6*w - 24]', '[360, 60, 6*w - 24]', '[361, 19, 19]', '[361, 361, -10*w + 31]', '[361, 361, 10*w + 31]', '[363, 33, -11*w + 33]', '[365, 365, 11*w - 19]', '[365, 365, 9*w - 11]', '[365, 365, 9*w + 11]', '[365, 365, 11*w + 19]', '[368, 92, -8*w + 4]', '[368, 92, -8*w - 4]', '[375, 75, -10*w + 15]', '[375, 75, -10*w - 15]', '[375, 375, -8*w - 3]', '[375, 375, -8*w + 3]', '[376, 188, -2*w - 20]', '[376, 188, 2*w - 20]', '[379, 379, 5*w - 23]', '[379, 379, -5*w - 23]', '[380, 190, 12*w - 22]', '[380, 190, 8*w + 2]', '[380, 190, 8*w - 2]', '[380, 190, 12*w + 22]', '[382, 382, -7*w + 26]', '[382, 382, 17*w - 46]', '[383, 383, -8*w - 1]', '[383, 383, 8*w - 1]', '[384, 48, 8*w]', '[386, 386, -9*w - 10]', '[386, 386, 9*w - 10]', '[387, 129, -3*w - 21]', '[387, 129, 3*w - 21]', '[388, 194, 4*w - 22]', '[388, 194, -4*w - 22]', '[389, 389, 13*w - 25]', '[389, 389, -15*w + 31]', '[392, 28, 14*w - 28]', '[394, 394, -w - 20]', '[394, 394, -w + 20]', '[400, 20, 20]', '[400, 100, -8*w + 28]', '[400, 100, 8*w + 28]', '[402, 402, 11*w - 18]', '[402, 402, 19*w - 42]', '[404, 202, 10*w - 14]', '[404, 202, -10*w - 14]', '[405, 45, 9*w + 9]', '[405, 45, 9*w - 9]', '[409, 409, -6*w + 25]', '[409, 409, 20*w - 53]', '[414, 138, -9*w + 30]', '[414, 138, 9*w + 30]', '[417, 417, 2*w - 21]', '[417, 417, -2*w - 21]', '[422, 422, 9*w - 8]', '[422, 422, 29*w - 68]', '[423, 141, 12*w - 21]', '[423, 141, 18*w - 39]', '[424, 212, -10*w + 32]', '[424, 212, 14*w - 40]', '[426, 426, -5*w - 24]', '[426, 426, -5*w + 24]', '[430, 430, -11*w + 34]', '[430, 430, -3*w + 22]', '[430, 430, 3*w + 22]', '[430, 430, 11*w + 34]', '[431, 431, 10*w - 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91]', '[6763, 6763, -21*w - 97]', '[6763, 6763, 21*w - 97]', '[6791, 6791, 40*w - 53]', '[6791, 6791, -40*w - 53]', '[6793, 6793, -4*w - 83]', '[6793, 6793, 4*w - 83]', '[6841, 6841, -8*w - 85]', '[6841, 6841, 8*w - 85]', '[6863, 6863, 42*w - 61]', '[6863, 6863, 88*w - 199]', '[6869, 6869, 85*w - 191]', '[6869, 6869, 43*w - 65]', '[6883, 6883, -w - 83]', '[6883, 6883, w - 83]', '[6889, 83, -83]', '[6907, 6907, 13*w - 89]', '[6907, 6907, -13*w - 89]', '[6911, 6911, -34*w - 5]', '[6911, 6911, 34*w - 5]', '[6917, 6917, -39*w - 47]', '[6917, 6917, 39*w - 47]', '[6959, 6959, 58*w - 115]', '[6959, 6959, -60*w + 121]', '[6961, 6961, -38*w + 125]', '[6961, 6961, -60*w + 169]', '[6983, 6983, -38*w - 41]', '[6983, 6983, 38*w - 41]', '[7013, 7013, 47*w - 79]', '[7013, 7013, -77*w + 169]', '[7027, 7027, -23*w - 101]', '[7027, 7027, 23*w - 101]', '[7057, 7057, 12*w - 89]', '[7057, 7057, -12*w - 89]', '[7079, 7079, -72*w + 155]', '[7079, 7079, 50*w - 89]', '[7103, 7103, -42*w - 59]', '[7103, 7103, 42*w - 59]', '[7109, 7109, 45*w - 71]', '[7109, 7109, 83*w - 185]', '[7127, 7127, 44*w - 67]', '[7127, 7127, 86*w - 193]', '[7129, 7129, 4*w - 85]', '[7129, 7129, -4*w - 85]', '[7151, 7151, -36*w - 25]', '[7151, 7151, 36*w - 25]', '[7177, 7177, 28*w - 109]', '[7177, 7177, -28*w - 109]', '[7219, 7219, -w - 85]', '[7219, 7219, w - 85]', '[7229, 7229, -35*w - 11]', '[7229, 7229, 35*w - 11]', '[7243, 7243, -19*w - 97]', '[7243, 7243, 19*w - 97]', '[7247, 7247, -36*w - 23]', '[7247, 7247, 36*w - 23]', '[7253, 7253, -37*w - 31]', '[7253, 7253, 37*w - 31]', '[7297, 7297, -22*w - 101]', '[7297, 7297, 22*w - 101]', '[7321, 7321, -10*w - 89]', '[7321, 7321, 10*w - 89]', '[7349, 7349, -35*w - 1]', '[7349, 7349, 35*w - 1]', '[7369, 7369, -76*w + 205]', '[7369, 7369, -30*w + 113]', '[7393, 7393, -26*w + 107]', '[7393, 7393, 84*w - 223]', '[7411, 7411, -37*w + 125]', '[7411, 7411, -65*w + 181]', '[7417, 7417, -12*w - 91]', '[7417, 7417, 12*w - 91]', '[7459, 7459, -75*w + 203]', '[7459, 7459, -31*w + 115]', '[7487, 7487, -36*w - 17]', '[7487, 7487, 36*w - 17]', '[7489, 7489, -16*w - 95]', '[7489, 7489, 16*w - 95]', '[7507, 7507, 27*w - 109]', '[7507, 7507, -27*w - 109]', '[7517, 7517, -79*w + 173]', '[7517, 7517, 49*w - 83]', '[7537, 7537, 8*w - 89]', '[7537, 7537, -8*w - 89]', '[7541, 7541, 55*w - 103]', '[7541, 7541, -69*w + 145]', '[7559, 7559, -42*w - 55]', '[7559, 7559, 42*w - 55]', '[7561, 7561, -40*w + 131]', '[7561, 7561, -62*w + 175]', '[7583, 7583, 48*w - 79]', '[7583, 7583, -82*w + 181]', '[7589, 7589, -37*w - 25]', '[7589, 7589, 37*w - 25]', '[7603, 7603, -61*w + 173]', '[7603, 7603, -41*w + 133]', '[7607, 7607, 36*w - 13]', '[7607, 7607, -36*w - 13]', '[7681, 7681, 10*w - 91]', '[7681, 7681, -10*w - 91]', '[7699, 7699, 89*w - 235]', '[7699, 7699, -25*w + 107]', '[7703, 7703, 38*w - 31]', '[7703, 7703, -38*w - 31]', '[7723, 7723, -29*w - 113]', '[7723, 7723, 29*w - 113]', '[7727, 7727, 36*w - 7]', '[7727, 7727, -36*w - 7]', '[7753, 7753, -56*w + 163]', '[7753, 7753, -46*w + 143]', '[7757, 7757, -39*w - 37]', '[7757, 7757, 39*w - 37]', '[7823, 7823, 38*w - 29]', '[7823, 7823, -38*w - 29]', '[7829, 7829, -75*w + 161]', '[7829, 7829, 53*w - 95]', '[7853, 7853, -37*w - 19]', '[7853, 7853, 37*w - 19]', '[7867, 7867, -3*w - 89]', '[7867, 7867, 3*w - 89]', '[7873, 7873, 16*w - 97]', '[7873, 7873, -16*w - 97]', '[7877, 7877, -41*w - 47]', '[7877, 7877, 41*w - 47]', '[7901, 7901, 39*w - 35]', '[7901, 7901, -39*w - 35]', '[7919, 7919, -40*w - 41]', '[7919, 7919, 40*w - 41]', '[7921, 89, -89]', '[7949, 7949, -73*w + 155]', '[7949, 7949, 55*w - 101]', '[7963, 7963, 21*w - 103]', '[7963, 7963, -21*w - 103]', '[7993, 7993, 24*w - 107]', '[7993, 7993, -24*w - 107]', '[8011, 8011, -13*w - 95]', '[8011, 8011, 13*w - 95]', '[8017, 8017, -32*w + 119]', '[8017, 8017, -78*w + 211]', '[8039, 8039, 38*w - 25]', '[8039, 8039, -38*w - 25]', '[8059, 8059, -15*w - 97]', '[8059, 8059, 15*w - 97]', '[8069, 8069, -43*w - 55]', '[8069, 8069, 43*w - 55]', '[8087, 8087, 54*w - 97]', '[8087, 8087, -76*w + 163]', '[8089, 8089, -66*w + 185]', '[8089, 8089, -40*w + 133]', '[8093, 8093, 37*w - 11]', '[8093, 8093, -37*w - 11]', '[8111, 8111, 50*w - 83]', '[8111, 8111, -84*w + 185]', '[8117, 8117, 59*w - 113]', '[8117, 8117, -69*w + 143]', '[8161, 8161, -12*w - 95]', '[8161, 8161, 12*w - 95]', '[8179, 8179, -29*w - 115]', '[8179, 8179, 29*w - 115]', '[8209, 8209, 20*w - 103]', '[8209, 8209, -20*w - 103]', '[8231, 8231, -40*w - 37]', '[8231, 8231, 40*w - 37]', '[8233, 8233, -14*w - 97]', '[8233, 8233, 14*w - 97]', '[8237, 8237, 41*w - 43]', '[8237, 8237, -41*w - 43]', '[8329, 8329, -60*w + 173]', '[8329, 8329, -46*w + 145]', '[8353, 8353, -74*w + 203]', '[8353, 8353, -36*w + 127]', '[8377, 8377, -58*w + 169]', '[8377, 8377, -48*w + 149]', '[8419, 8419, -55*w + 163]', '[8419, 8419, -51*w + 155]', '[8423, 8423, 62*w - 121]', '[8423, 8423, -68*w + 139]', '[8429, 8429, 45*w - 61]', '[8429, 8429, -45*w - 61]', '[8443, 8443, -19*w - 103]', '[8443, 8443, 19*w - 103]', '[8447, 8447, 64*w - 127]', '[8447, 8447, -66*w + 133]', '[8467, 8467, -17*w - 101]', '[8467, 8467, 17*w - 101]', '[8501, 8501, 39*w - 25]', '[8501, 8501, -39*w - 25]', '[8521, 8521, 90*w - 239]', '[8521, 8521, -28*w + 115]', '[8539, 8539, 9*w - 95]', '[8539, 8539, -9*w - 95]', '[8543, 8543, -38*w - 11]', '[8543, 8543, 38*w - 11]', '[8563, 8563, -71*w + 197]', '[8563, 8563, -39*w + 133]', '[8573, 8573, -83*w + 181]', '[8573, 8573, 53*w - 91]', '[8597, 8597, -39*w - 23]', '[8597, 8597, 39*w - 23]', '[8641, 8641, -8*w - 95]', '[8641, 8641, 8*w - 95]', '[8663, 8663, -38*w - 1]', '[8663, 8663, 38*w - 1]', '[8669, 8669, 45*w - 59]', '[8669, 8669, -45*w - 59]', '[8689, 8689, -34*w + 125]', '[8689, 8689, -80*w + 217]', '[8693, 8693, 43*w - 49]', '[8693, 8693, -43*w - 49]', '[8707, 8707, -23*w - 109]', '[8707, 8707, 23*w - 109]', '[8713, 8713, 26*w - 113]', '[8713, 8713, -26*w - 113]', '[8731, 8731, 7*w - 95]', '[8731, 8731, -7*w - 95]', '[8737, 8737, -42*w + 139]', '[8737, 8737, -68*w + 191]', '[8741, 8741, 55*w - 97]', '[8741, 8741, -81*w + 175]', '[8761, 8761, -30*w - 119]', '[8761, 8761, 30*w - 119]', '[8779, 8779, -35*w + 127]', '[8779, 8779, -79*w + 215]', '[8783, 8783, 98*w - 221]', '[8783, 8783, 48*w - 71]', '[8803, 8803, -21*w - 107]', '[8803, 8803, 21*w - 107]', '[8807, 8807, -44*w - 53]', '[8807, 8807, 44*w - 53]', '[8831, 8831, -74*w + 155]', '[8831, 8831, 60*w - 113]', '[8837, 8837, 39*w - 17]', '[8837, 8837, -39*w - 17]', '[8861, 8861, 41*w - 35]', '[8861, 8861, -41*w - 35]', '[8923, 8923, 9*w - 97]', '[8923, 8923, -9*w - 97]', '[8929, 8929, -4*w - 95]', '[8929, 8929, 4*w - 95]', '[8933, 8933, 53*w - 89]', '[8933, 8933, -87*w + 191]', '[8951, 8951, -70*w + 143]', '[8951, 8951, 64*w - 125]', '[8971, 8971, -3*w - 95]', '[8971, 8971, 3*w - 95]', '[8999, 8999, 52*w - 85]', '[8999, 8999, -90*w + 199]', '[9001, 9001, 2*w - 95]', '[9001, 9001, -2*w - 95]', '[9029, 9029, 47*w - 65]', '[9029, 9029, -47*w - 65]', '[9043, 9043, -51*w + 157]', '[9043, 9043, -59*w + 173]', '[9049, 9049, 20*w - 107]', '[9049, 9049, -20*w - 107]', '[9067, 9067, -57*w + 169]', '[9067, 9067, -53*w + 161]', '[9091, 9091, -33*w + 125]', '[9091, 9091, -85*w + 229]', '[9173, 9173, -73*w + 151]', '[9173, 9173, 63*w - 121]', '[9187, 9187, 13*w - 101]', '[9187, 9187, -13*w - 101]', '[9221, 9221, 65*w - 127]', '[9221, 9221, -71*w + 145]', '[9239, 9239, -40*w - 19]', '[9239, 9239, 40*w - 19]', '[9241, 9241, 30*w - 121]', '[9241, 9241, -30*w - 121]', '[9283, 9283, 19*w - 107]', '[9283, 9283, -19*w - 107]', '[9293, 9293, 57*w - 101]', '[9293, 9293, -83*w + 179]', '[9311, 9311, 40*w - 17]', '[9311, 9311, -40*w - 17]', '[9337, 9337, 12*w - 101]', '[9337, 9337, -12*w - 101]', '[9341, 9341, -45*w - 53]', '[9341, 9341, 45*w - 53]', '[9403, 9403, -w - 97]', '[9403, 9403, w - 97]', '[9413, 9413, -43*w - 41]', '[9413, 9413, 43*w - 41]', '[9431, 9431, 40*w - 13]', '[9431, 9431, -40*w - 13]', '[9433, 9433, 14*w - 103]', '[9433, 9433, -14*w - 103]', '[9437, 9437, -81*w + 173]', '[9437, 9437, 59*w - 107]', '[9461, 9461, 41*w - 25]', '[9461, 9461, -41*w - 25]', '[9479, 9479, -40*w - 11]', '[9479, 9479, 40*w - 11]', '[9533, 9533, 47*w - 61]', '[9533, 9533, -47*w - 61]', '[9547, 9547, -67*w + 191]', '[9547, 9547, -47*w + 151]', '[9551, 9551, 40*w - 7]', '[9551, 9551, -40*w - 7]', '[9601, 9601, 10*w - 101]', '[9601, 9601, -10*w - 101]', '[9619, 9619, -65*w + 187]', '[9619, 9619, -49*w + 155]', '[9623, 9623, -42*w - 31]', '[9623, 9623, 42*w - 31]', '[9629, 9629, 95*w - 211]', '[9629, 9629, 53*w - 85]', '[9643, 9643, -39*w + 137]', '[9643, 9643, -79*w + 217]', '[9649, 9649, -64*w + 185]', '[9649, 9649, -50*w + 157]', '[9677, 9677, 101*w - 227]', '[9677, 9677, 51*w - 77]', '[9697, 9697, -52*w + 161]', '[9697, 9697, -62*w + 181]', '[9719, 9719, 60*w - 109]', '[9719, 9719, -82*w + 175]', '[9721, 9721, -40*w + 139]', '[9721, 9721, -78*w + 215]', '[9739, 9739, -59*w + 175]', '[9739, 9739, -55*w + 167]', '[9743, 9743, 42*w - 29]', '[9743, 9743, -42*w - 29]', '[9749, 9749, 45*w - 49]', '[9749, 9749, -45*w - 49]', '[9767, 9767, 44*w - 43]', '[9767, 9767, -44*w - 43]', '[9769, 9769, -24*w - 115]', '[9769, 9769, 24*w - 115]', '[9787, 9787, 27*w - 119]', '[9787, 9787, -27*w - 119]', '[9791, 9791, -90*w + 197]', '[9791, 9791, 56*w - 95]', '[9811, 9811, -87*w + 235]', '[9811, 9811, -35*w + 131]', '[9817, 9817, -8*w - 101]', '[9817, 9817, 8*w - 101]', '[9839, 9839, 62*w - 115]', '[9839, 9839, -80*w + 169]', '[9859, 9859, 31*w - 125]', '[9859, 9859, -31*w - 125]', '[9883, 9883, 11*w - 103]', '[9883, 9883, -11*w - 103]', '[9887, 9887, 46*w - 53]', '[9887, 9887, -46*w - 53]', '[9907, 9907, -7*w - 101]', '[9907, 9907, 7*w - 101]', '[9931, 9931, -75*w + 209]', '[9931, 9931, -43*w + 145]', '[9941, 9941, 45*w - 47]', '[9941, 9941, -45*w - 47]']}
• 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': [-6, 0, 1], 'conductor': 24, 'degree': 2, 'dirichlet_group': [1, 11], 'disc_abs': 24, 'disc_rad': 6, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [0]], [5, [[1, 2]]], [7, [[2, 1]]], [11, [[2, 1]]], [13, [[2, 1]]], [17, [[2, 1]]], [19, [[1, 2]]], [23, [[1, 2]]], [29, [[1, 2]]], [31, [[2, 1]]], [37, [[2, 1]]], [41, [[2, 1]]], [43, [[1, 2]]], [47, [[1, 2]]], [53, [[1, 2]]], [59, [[2, 1]]]], 'gal_is_abelian': True, 'gal_is_cyclic': True, 'gal_is_solvable': True, 'galois_disc_exponents': [3, 1], 'galois_label': '2T1', 'galt': 1, 'grd': 4.898979485566356, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '2.2.24.1', 'local_algs': ['2.2.3.4', '3.2.1.2'], 'monogenic': 1, 'num_ram': 2, 'r2': 0, 'ramps': [2, 3], 'rd': 4.89897948557, 'regulator': {'__RealLiteral__': 0, 'data': '2.29243166956', 'prec': 44}, 'res': {}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( 2 a + 5 \\)'], 'used_grh': False, 'zk': ['1', 'a']}