Hilbert modular form data - 2.2.8.1-576.1-d

Formats: - HTML - YAML - JSON - 2023-06-10T07:05:11.717589

• 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': 8, 'field_bad_primes': [2], 'field_label': '2.2.8.1', 'is_CM': 'no', 'is_base_change': 'no', 'label': '2.2.8.1-576.1-d', 'label_nsuffix': 3, 'label_suffix': 'd', 'level_bad_primes': [2, 3], 'level_ideal': '[576, 24, 24]', 'level_label': '576.1', 'level_norm': 576, 'parallel_weight': 2, 'short_label': '576.1-d', 'weight': '[2, 2]'}
• hmf_hecke •

  Column	Type
  AL_eigenvalues	jsonb
  hecke_eigenvalues	jsonb
  hecke_polynomial	text
  label	text

  
  {'AL_eigenvalues': [['[2, 2, -w]', -1], ['[9, 3, 3]', 1]], 'hecke_eigenvalues': [0, '-e - 4', 'e', -1, '2*e + 2', '-2*e - 6', -4, -4, -2, 'e - 4', '-e - 8', '2*e + 6', '-2*e - 2', '-2*e', '2*e + 8', 4, 4, 2, 2, '5*e + 12', '-5*e - 8', -10, -10, '-4*e - 10', '4*e + 6', '-e - 8', 'e - 4', 10, 10, -10, '3*e + 12', '-3*e', '-2*e - 18', '2*e - 10', '-e - 20', 'e - 16', '2*e + 4', '-2*e - 4', -6, '-4*e', '4*e + 16', 2, 2, '-5*e', '5*e + 20', '3*e + 12', '-3*e', '4*e + 6', '-4*e - 10', '-4*e - 8', '4*e + 8', '4*e + 2', '-4*e - 14', '-4*e + 10', '4*e + 26', '-2*e + 20', '2*e + 28', 'e - 8', '-e - 12', '-4*e - 10', '4*e + 6', '6*e + 28', '-6*e + 4', '-4*e - 18', '4*e - 2', '4*e - 2', '-4*e - 18', 10, 10, '8*e + 20', '-8*e - 12', -10, '11*e + 16', '-11*e - 28', '-4*e', '4*e + 16', '6*e + 26', '-6*e + 2', '-4*e - 14', '4*e + 2', '6*e + 8', '-6*e - 16', -18, -18, '-3*e + 12', '3*e + 24', '6*e + 10', '-6*e - 14', '-4*e - 14', '4*e + 2', '5*e + 8', '-5*e - 12', '-2*e - 32', '2*e - 24', 'e + 8', '-e + 4', '12*e + 28', '-12*e - 20', '-6*e - 18', '6*e + 6', '2*e - 26', '-2*e - 34', '4*e + 6', '-4*e - 10', '4*e + 18', '-4*e + 2', '4*e - 20', '-4*e - 36', '-8*e - 22', '8*e + 10', '3*e - 20', '-3*e - 32', '8*e + 30', '-8*e - 2', '5*e - 16', '-5*e - 36', '2*e - 22', '-2*e - 30', '4*e + 4', '-4*e - 12', '-8*e - 34', '8*e - 2', '2*e - 16', '-2*e - 24', '-e + 20', 'e + 24', '-2*e - 28', '2*e - 20', '3*e - 32', '-3*e - 44', '-6*e - 2', '6*e + 22', 18, 18, '-2*e + 30', '2*e + 38', 'e', '-e - 4', '12*e + 36', '-12*e - 12', 14, '-2*e - 50', '2*e - 42', '4*e + 16', '-4*e', '8*e + 18', '-8*e - 14', '6*e + 20', '-6*e - 4', '-4*e - 24', '4*e - 8', 'e + 16', '-e + 12', '-14*e - 14', '14*e + 42', '16*e + 38', '-16*e - 26', '-14*e - 18', '14*e + 38', '-5*e - 16', '5*e + 4', '-6*e + 18', '6*e + 42', '6*e - 12', '-6*e - 36', '-7*e - 4', '7*e + 24', '4*e + 38', '-4*e + 22', '-6*e + 12', '6*e + 36', 38, 38, '-e - 32', 'e - 28', -18, -18, '9*e - 12', '-9*e - 48', '-7*e - 12', '7*e + 16', '12*e + 38', '-12*e - 10', -40, -40, '-8*e - 2', '8*e + 30', '8*e', '-8*e - 32', 18, 18, '-4*e - 26', '4*e - 10', '4*e - 10', '-4*e - 26', '16*e + 42', '-16*e - 22', '2*e + 4', '-2*e - 4', '-3*e - 48', '3*e - 36', '-4*e - 50', '4*e - 34', '-e + 12', 'e + 16', '-16*e - 50', '16*e + 14', '8*e - 14', '-8*e - 46', '3*e + 40', '-3*e + 28', '4*e - 12', '-4*e - 28', '-16*e - 6', '16*e + 58', '9*e + 4', '-9*e - 32', '14*e + 34', '-14*e - 22', '14*e + 44', '-14*e - 12', 26, 'e + 36', '-e + 32', '2*e + 10', '-2*e + 2', '7*e - 4', '-7*e - 32', '8*e + 38', '-8*e + 6', '-10*e - 48', '10*e - 8', '-15*e - 12', '15*e + 48', '-9*e - 20', '9*e + 16', -2, -2, '18*e + 56', '-18*e - 16', '-4*e - 26', '4*e - 10', '12*e + 52', '-12*e + 4', '-3*e', '3*e + 12', '16*e + 42', '-16*e - 22', -36, -36, '-3*e + 44', '3*e + 56', '-16*e - 24', '16*e + 40', '16*e + 26', '-16*e - 38', '-4*e - 76', '4*e - 60', '8*e + 70', '-8*e + 38', '-8*e + 10', '8*e + 42', '-3*e + 8', '3*e + 20', '18*e + 42', '-18*e - 30', '-4*e - 58', '4*e - 42', '8*e + 22', '-8*e - 10', '3*e + 32', '-3*e + 20', '8*e + 50', '-8*e + 18', '9*e + 52', '-9*e + 16', '-8*e + 10', '8*e + 42', '-2*e - 32', '2*e - 24', '9*e + 20', '-9*e - 16', '4*e - 4', '-4*e - 20', 38, '16*e + 8', '-16*e - 56', '-20*e - 14', '20*e + 66', '-5*e + 4', '5*e + 24', '-12*e - 14', '12*e + 34', '12*e + 30', '-12*e - 18', '-17*e - 12', '17*e + 56', '4*e - 34', '-4*e - 50', '17*e + 20', '-17*e - 48', '4*e + 2', '-4*e - 14', '-16*e - 52', '16*e + 12', '-8*e + 8', '8*e + 40', '-10*e - 30', '10*e + 10', '-10*e - 4', '10*e + 36', '-16*e - 26', '16*e + 38', '6*e + 40', '-6*e + 16', '-4*e - 2', '4*e + 14', '-4*e + 10', '4*e + 26', '12*e - 2', '-12*e - 50', '-7*e + 28', '7*e + 56', '2*e - 10', '-2*e - 18', '20*e + 38', '-20*e - 42', '16*e - 16', '-16*e - 80', '3*e + 12', '-3*e', '16*e + 18', '-16*e - 46', -30, -30, '13*e + 48', '-13*e - 4', '6*e + 38', '-6*e + 14', '-e + 16', 'e + 20', '2*e + 16', '-2*e + 8', '20*e + 50', '-20*e - 30', '3*e - 44', '-3*e - 56', '-20*e - 18', '20*e + 62', '-16*e - 32', '16*e + 32', '-6*e - 38', '6*e - 14', '18*e + 4', '-18*e - 68', '4*e - 34', '-4*e - 50', '8*e + 88', '-8*e + 56', '16*e + 26', '-16*e - 38', '5*e - 16', '-5*e - 36', '-8*e - 70', '8*e - 38', '-4*e + 8', '4*e + 24', '9*e - 8', '-9*e - 44', '-4*e - 48', '4*e - 32', 50, 50, '2*e - 38', '-2*e - 46', 14, 14, '6*e + 86', '-6*e + 62', '-e - 4', 'e', '4*e + 58', '-4*e + 42', '-2*e - 4', '2*e + 4', '-13*e - 16', '13*e + 36', '-26*e - 40', '26*e + 64', '-24*e - 30', '24*e + 66', '-22*e - 68', '22*e + 20', '4*e + 18', '-4*e + 2', '5*e + 56', '-5*e + 36', '2*e + 14', '-2*e + 6', '-10*e - 46', '10*e - 6', '19*e + 12', '-19*e - 64', '6*e + 62', '-6*e + 38', '-31*e - 72', '31*e + 52', '-26*e - 38', '26*e + 66', -66, '-20*e - 26', '20*e + 54', '16*e - 14', '-16*e - 78', '20*e', '-20*e - 80', '13*e + 64', '-13*e + 12', '10*e + 50', '-10*e + 10', '-8*e + 12', '8*e + 44', '8*e + 24', '-8*e - 8', '-20*e - 82', '20*e - 2', '4*e + 94', '-4*e + 78', '-8*e - 4', '8*e + 28', '-16*e - 18', '16*e + 46', '-18*e - 64', '18*e + 8', '2*e + 82', '-2*e + 74', '8*e + 2', '-8*e - 30', '-e', 'e + 4', '-24*e - 46', '24*e + 50', '-6*e + 32', '6*e + 56', '-16*e - 62', '16*e + 2', '-8*e - 14', '8*e + 18', '10*e + 48', '-10*e + 8', '-8*e - 46', '8*e - 14', '-12*e - 4', '12*e + 44', '6*e + 62', '-6*e + 38', '-16*e - 46', '16*e + 18', '8*e - 10', '-8*e - 42', '-e + 4', 'e + 8', '-12*e - 2', '12*e + 46', '-e - 8', 'e - 4', '-2*e + 50', '2*e + 58', '7*e - 4', '-7*e - 32', '-18*e - 32', '18*e + 40', -78, -78, '3*e - 60', '-3*e - 72', '-6*e + 24', '6*e + 48', '24*e + 30', '-24*e - 66', '4*e - 18', '-4*e - 34', '-28*e - 42', '28*e + 70', '-29*e - 72', '29*e + 44', 38, '-e - 8', 'e - 4', '-4*e + 20', '4*e + 36', -6, -6, '5*e + 56', '-5*e + 36', '-27*e - 20', '27*e + 88', '-6*e - 26', '6*e - 2', '-39*e - 76', '39*e + 80', '-22*e - 30', '22*e + 58', -44, -44, '17*e + 48', '-17*e - 20', '-16*e + 28', '16*e + 92', '-8*e - 10', '8*e + 22', '-24*e - 78', '24*e + 18', '10*e + 84', '-10*e + 44', 10, '25*e + 72', '-25*e - 28', '12*e + 2', '-12*e - 46', '6*e - 68', '-6*e - 92', -6, -6, '12*e - 30', '-12*e - 78', '-25*e - 40', '25*e + 60', '-12*e - 66', '12*e - 18', '33*e + 84', '-33*e - 48', '12*e - 20', '-12*e - 68', '-6*e + 86', '6*e + 110', '8*e + 110', '-8*e + 78', '-18*e - 44', '18*e + 28', '25*e + 64', '-25*e - 36', '2*e - 42', '-2*e - 50', '5*e + 88', '-5*e + 68', '-33*e - 68', '33*e + 64', '20*e + 50', '-20*e - 30', '18*e + 76', '-18*e + 4', '-24*e - 102', '24*e - 6', -86, -86, '-26*e - 58', '26*e + 46', '28*e + 24', '-28*e - 88', '-7*e - 108', '7*e - 80', '20*e + 16', '-20*e - 64', '-8*e - 94', '8*e - 62', '16*e + 58', '-16*e - 6', '-e + 96', 'e + 100', '-20*e - 34', '20*e + 46', '-24*e - 14', '24*e + 82', '-8*e + 6', '8*e + 38', '3*e - 32', '-3*e - 44', '-14*e - 110', '14*e - 54', '-4*e - 40', '4*e - 24', '-20*e - 66', '20*e + 14', -14, -14, '8*e + 22', '-8*e - 10', '-23*e - 68', '23*e + 24', '-22*e - 86', '22*e + 2', '6*e + 4', '-6*e - 20', '-4*e + 6', '4*e + 22', '13*e + 36', '-13*e - 16', '-12*e - 50', '12*e - 2', '-21*e - 28', '21*e + 56', '28*e + 22', '-28*e - 90', '6*e + 120', '-6*e + 96', '8*e + 26', '-8*e - 6', 54, '-4*e - 42', '4*e - 26', '37*e + 76', '-37*e - 72', 30, 30, '-13*e - 100', '13*e - 48', '30*e + 76', '-30*e - 44', '23*e + 56', '-23*e - 36', '-5*e - 80', '5*e - 60', '-30*e - 18', '30*e + 102', '12*e - 2', '-12*e - 50', '19*e - 32', '-19*e - 108', '-6*e + 42', '6*e + 66', '-20*e - 44', '20*e + 36', '-20*e - 80', '20*e', '-12*e - 78', '12*e - 30', '12*e - 30', '-12*e - 78', '18*e + 24', '-18*e - 48', '-19*e + 36', '19*e + 112', '-15*e - 84', '15*e - 24', '10*e + 62', '-10*e + 22', '-20*e - 48', '20*e + 32', 66, 66, '-16*e + 26', '16*e + 90', '-17*e - 92', '17*e - 24', '-28*e - 44', '28*e + 68', '42*e + 70', '-42*e - 98', '-11*e - 128', '11*e - 84', '-14*e - 36', '14*e + 20', '4*e - 34', '-4*e - 50', '-14*e - 96', '14*e - 40', '-33*e - 48', '33*e + 84', '-20*e - 60', '20*e + 20', '-20*e - 2', '20*e + 78', '24*e + 98', '-24*e + 2', '-7*e - 72', '7*e - 44', '-42*e - 86', '42*e + 82', '-5*e + 24', '5*e + 44', '-12*e - 8', '12*e + 40', '16*e - 34', '-16*e - 98', '-12*e - 16', '12*e + 32', '-8*e - 54', '8*e - 22', '-35*e - 64', '35*e + 76', '-10*e + 18', '10*e + 58', '-31*e - 56', '31*e + 68', '-24*e - 10', '24*e + 86', '2*e - 24', '-2*e - 32', '-16*e - 62', '16*e + 2', '2*e + 86', '-2*e + 78', '10*e', '-10*e - 40', '8*e + 18', '-8*e - 14', '4*e + 50', '-4*e + 34', '4*e + 76', '-4*e + 60', '10*e + 12', '-10*e - 28', '24*e - 22', '-24*e - 118', '16*e + 44', '-16*e - 20', '-11*e + 44', '11*e + 88', '-18*e - 34', '18*e + 38', '-e - 80', 'e - 76', '-6*e - 94', '6*e - 70', '12*e + 46', '-12*e - 2', '-34*e - 96', '34*e + 40', 'e + 32', '-e + 28', '13*e + 108', '-13*e + 56', '-4*e + 88', '4*e + 104', '-8*e + 2', '8*e + 34', '11*e + 124', '-11*e + 80', '28*e + 46', '-28*e - 66', '20*e - 4', '-20*e - 84', '-e + 76', 'e + 80', '-6*e + 20', '6*e + 44', '-16*e - 98', '16*e - 34', '7*e - 4', '-7*e - 32', '-18*e - 66', '18*e + 6', 82, 82, '-6*e - 112', '6*e - 88', '-32*e - 94', '32*e + 34', '3*e + 52', '-3*e + 40', '8*e + 44', '-8*e + 12', '-3*e - 100', '3*e - 88', '-22*e - 50', '22*e + 38', '18*e + 24', '-18*e - 48', '-7*e - 4', '7*e + 24', '-6*e + 54', '6*e + 78', '-20*e - 26', '20*e + 54', '6*e + 92', '-6*e + 68', '-16*e - 42', '16*e + 22', '-10*e - 26', '10*e + 14', '6*e - 24', '-6*e - 48', '-4*e + 4', '4*e + 20', '12*e - 14', '-12*e - 62', '-3*e + 84', '3*e + 96', '30*e + 96', '-30*e - 24', '40*e + 106', '-40*e - 54', '-13*e + 16', '13*e + 68', '20*e + 14', '-20*e - 66', '10*e + 26', '-10*e - 14', '-24*e - 42', '24*e + 54', '28*e + 64', '-28*e - 48', '27*e + 52', '-27*e - 56', '-e - 48', 'e - 44', '-8*e + 46', '8*e + 78', '-17*e - 128', '17*e - 60', '-6*e - 22', '6*e + 2', '24*e + 92', '-24*e - 4', '-9*e - 20', '9*e + 16', '24*e + 8', '-24*e - 88', '-12*e + 36', '12*e + 84', '-42*e - 98', '42*e + 70', '16*e + 110', '-16*e + 46', '17*e + 64', '-17*e - 4', '-4*e - 86', '4*e - 70', '10*e - 52', '-10*e - 92', '16*e - 62', '-16*e - 126', '-35*e - 32', '35*e + 108', '28*e + 66', '-28*e - 46', '10*e + 110', '-10*e + 70', '-8*e - 94', '8*e - 62', '-16*e - 114', '16*e - 50', '-52*e - 90', '52*e + 118', '-6*e + 108', '6*e + 132', '-32*e - 106', '32*e + 22', '4*e + 62', '-4*e + 46', '4*e + 102', '-4*e + 86', '10*e + 20', '-10*e - 20', '-13*e - 16', '13*e + 36', '20*e + 6', '-20*e - 74', '-9*e - 44', '9*e - 8', 98, 98, '-25*e - 100', '25*e', '-20*e - 144', '20*e - 64', '-2*e - 126', '2*e - 118', -2, -2, '12*e - 60', '-12*e - 108', '8*e - 90', '-8*e - 122', '-9*e + 40', '9*e + 76', '-18*e - 126', '18*e - 54', '16*e + 114', '-16*e + 50', '16*e - 50', '-16*e - 114', '6*e - 120', '-6*e - 144', '7*e + 56', '-7*e + 28', 6, '32*e', '-32*e - 128', '16*e + 8', '-16*e - 56', '-12*e - 94', '12*e - 46', '-21*e - 72', '21*e + 12', '6*e - 102', '-6*e - 126', '18*e - 20', '-18*e - 92', '15*e + 4', '-15*e - 56', '-38*e - 90', '38*e + 62', '-33*e - 60', '33*e + 72', '-16*e - 30', '16*e + 34', '-2*e - 20', '2*e - 12', '-6*e + 112', '6*e + 136', '16*e + 10', '-16*e - 54', '-28*e - 36', '28*e + 76', '-16*e + 2', '16*e + 66', '36*e + 104', '-36*e - 40', '-e - 92', 'e - 88', '40*e + 42', '-40*e - 118', '46*e + 86', '-46*e - 98', '-5*e - 156', '5*e - 136', 120, 120, '-4*e + 114', '4*e + 130', '-40*e - 38', '40*e + 122', '-11*e - 24', '11*e + 20', '-24*e - 86', '24*e + 10', '-28*e + 6', '28*e + 118', '-4*e - 98', '4*e - 82', '-10*e - 90', '10*e - 50', '30*e + 26', '-30*e - 94', '16*e - 26', '-16*e - 90', '18*e + 40', '-18*e - 32', '-4*e + 126', '4*e + 142', '-36*e - 114', '36*e + 30', '16*e + 146', '-16*e + 82', '-18*e - 4', '18*e + 68', -34, -34, '-8*e + 14', '8*e + 46', '22*e - 32', '-22*e - 120', '49*e + 108', '-49*e - 88', '-38*e - 60', '38*e + 92', '-27*e + 20', '27*e + 128', '2*e - 38', '-2*e - 46', '-14*e - 66', '14*e - 10', '-8*e + 62', '8*e + 94', '-15*e - 16', '15*e + 44', '14*e + 52', '-14*e - 4', '-2*e + 24', '2*e + 32', '-24*e - 10', '24*e + 86', '7*e - 108', '-7*e - 136', '-4*e + 58', '4*e + 74', '24*e + 150', '-24*e + 54', '-16*e - 104', '16*e - 40', '-44*e - 86', '44*e + 90', '28*e + 114', '-28*e + 2', '33*e + 48', '-33*e - 84', '-46*e - 64', '46*e + 120', '17*e + 44', '-17*e - 24', '26*e + 66', '-26*e - 38', '45*e + 104', '-45*e - 76', '24*e + 102', '-24*e + 6', '30*e + 14', '-30*e - 106', '-8*e - 82', '8*e - 50', '20*e + 68', '-20*e - 12', '12*e - 22', '-12*e - 70', '-8*e + 108', '8*e + 140', '-24*e + 42', '24*e + 138', '-2*e + 56', '2*e + 64', '-4*e + 126', '4*e + 142', '-e - 28', 'e - 24', '-43*e - 124', '43*e + 48', '36*e + 102', '-36*e - 42', '6*e + 108', '-6*e + 84', '-32*e - 86', '32*e + 42', '-19*e - 36', '19*e + 40', '28*e + 10', '-28*e - 102', '15*e - 48', '-15*e - 108', '2*e - 2', '-2*e - 10', '9*e - 68', '-9*e - 104', '-4*e - 46', '4*e - 30', '28*e + 102', '-28*e - 10', '-32*e + 18', '32*e + 146', '-28*e - 110', '28*e + 2', '-32*e - 92', '32*e + 36', '-23*e - 68', '23*e + 24', '-26*e - 40', '26*e + 64', '-34*e - 94', '34*e + 42', '-12*e - 18', '12*e + 30', '31*e + 124', '-31*e', -2, -2, '18*e + 24', '-18*e - 48', '-29*e + 8', '29*e + 124', '-16*e - 38', '16*e + 26', '9*e + 112', '-9*e + 76', -66, -66, '-19*e - 148', '19*e - 72', '4*e - 100', '-4*e - 116', '6*e + 46', '-6*e + 22', '-4*e + 2', '4*e + 18', '-24*e + 34', '24*e + 130', '29*e + 96', '-29*e - 20', '8*e - 146', '-8*e - 178', '-18*e + 10', '18*e + 82', '16*e + 102', '-16*e + 38', '-56*e - 120', '56*e + 104', '16*e + 4', '-16*e - 60', '-30*e - 104', '30*e + 16', '-7*e - 56', '7*e - 28', '18*e + 90', '-18*e + 18', '7*e - 96', '-7*e - 124', '-3*e + 156', '3*e + 168', '32*e + 158', '-32*e + 30', '-24*e - 164', '24*e - 68', '4*e + 142', '-4*e + 126', '42*e + 60', '-42*e - 108', '24*e - 10', '-24*e - 106', '35*e', '-35*e - 140', '-30*e - 30', '30*e + 90', '24*e + 142', '-24*e + 46', '21*e - 20', '-21*e - 104', '-11*e + 32', '11*e + 76', '-48*e - 86', '48*e + 106', '-5*e - 16', '5*e + 4', '-34*e - 154', '34*e - 18', '33*e + 44', '-33*e - 88', '28*e + 110', '-28*e - 2', '-12*e - 4', '12*e + 44', '16*e + 26', '-16*e - 38', '22*e + 22', '-22*e - 66', '16*e + 18', '-16*e - 46', '-2*e + 112', '2*e + 120', '49*e + 48', '-49*e - 148', '40*e + 26', '-40*e - 134', '41*e + 76', '-41*e - 88', '4*e + 154', '-4*e + 138', '-37*e - 76', '37*e + 72', '-38*e - 84', '38*e + 68', '-8*e - 146', '8*e - 114', '-27*e - 72', '27*e + 36', '5*e + 24', '-5*e + 4', '-44*e - 110', '44*e + 66', '6*e + 108', '-6*e + 84', '-18*e - 58', '18*e + 14', '17*e + 64', '-17*e - 4', '20*e + 34', '-20*e - 46', '2*e + 40', '-2*e + 32', '-48*e - 110', '48*e + 82', '42*e + 92', '-42*e - 76', '-37*e - 136', '37*e + 12', '24*e + 2', '-24*e - 94', '-e + 48', 'e + 52', '-26*e - 146', '26*e - 42', '8*e + 82', '-8*e + 50', '-22*e + 44', '22*e + 132', '24*e + 118', '-24*e + 22', '28*e + 40', '-28*e - 72', '8*e - 76', '-8*e - 108', '16*e - 10', '-16*e - 74', '-24*e - 176', '24*e - 80', '-4*e + 178', '4*e + 194', '22*e - 74', '-22*e - 162', '28*e + 72', '-28*e - 40', '-2*e + 106', '2*e + 114', '-e - 164', 'e - 160', '16*e + 128', '-16*e + 64', '-54*e - 114', '54*e + 102', '19*e + 96', '-19*e + 20'], 'hecke_polynomial': 'x^2 + 4*x - 4', 'label': '2.2.8.1-576.1-d'}
• hmf_fields •

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

  
  {'degree': 2, 'discriminant': 8, 'ideals': ['[1, 1, 1]', '[2, 2, -w]', '[4, 2, 2]', '[7, 7, -2*w + 1]', '[7, 7, -2*w - 1]', '[8, 4, -2*w]', '[9, 3, 3]', '[14, 14, w + 4]', '[14, 14, -w + 4]', '[16, 4, 4]', '[17, 17, 3*w + 1]', '[17, 17, 3*w - 1]', '[18, 6, -3*w]', '[23, 23, w + 5]', '[23, 23, -w + 5]', '[25, 5, 5]', '[28, 14, -4*w + 2]', '[28, 14, -4*w - 2]', '[31, 31, 4*w + 1]', '[31, 31, -4*w + 1]', '[32, 8, -4*w]', '[34, 34, -w - 6]', '[34, 34, w - 6]', '[36, 6, 6]', '[41, 41, 2*w - 7]', '[41, 41, -2*w - 7]', '[46, 46, -5*w + 2]', '[46, 46, -5*w - 2]', '[47, 47, -w - 7]', '[47, 47, w - 7]', '[49, 7, 7]', '[49, 49, 5*w + 1]', '[49, 49, 5*w - 1]', '[50, 10, -5*w]', '[56, 28, 2*w + 8]', '[56, 28, -2*w + 8]', '[62, 62, -w - 8]', '[62, 62, -w + 8]', '[63, 21, -6*w + 3]', '[63, 21, -6*w - 3]', '[64, 8, 8]', '[68, 34, 6*w + 2]', '[68, 34, 6*w - 2]', '[71, 71, -6*w - 1]', '[71, 71, 6*w - 1]', '[72, 12, -6*w]', '[73, 73, -7*w - 5]', '[73, 73, 7*w - 5]', '[79, 79, -w - 9]', '[79, 79, w - 9]', '[81, 9, 9]', '[82, 82, 7*w + 4]', '[82, 82, 7*w - 4]', '[89, 89, -4*w - 11]', '[89, 89, 4*w - 11]', '[92, 46, 2*w + 10]', '[92, 46, -2*w + 10]', '[94, 94, 7*w - 2]', '[94, 94, 7*w + 2]', '[97, 97, -7*w - 1]', '[97, 97, 7*w - 1]', '[98, 14, -7*w]', '[98, 98, -w - 10]', '[98, 98, w - 10]', '[100, 10, 10]', '[103, 103, -3*w - 11]', '[103, 103, 3*w - 11]', '[112, 28, -8*w + 4]', '[112, 28, -8*w - 4]', '[113, 113, 2*w - 11]', '[113, 113, -2*w - 11]', '[119, 119, -w - 11]', '[119, 119, -8*w - 3]', '[119, 119, -8*w + 3]', '[119, 119, w - 11]', '[121, 11, -11]', '[124, 62, 8*w + 2]', '[124, 62, -8*w + 2]', '[126, 42, 3*w + 12]', '[126, 42, -3*w + 12]', '[127, 127, -8*w - 1]', '[127, 127, 8*w - 1]', '[128, 16, -8*w]', '[136, 68, -2*w - 12]', '[136, 68, 2*w - 12]', '[137, 137, 4*w - 13]', '[137, 137, -4*w - 13]', '[142, 142, w + 12]', '[142, 142, w - 12]', '[144, 12, 12]', '[146, 146, 5*w + 14]', '[146, 146, 5*w - 14]', '[151, 151, 3*w - 13]', '[151, 151, -3*w - 13]', '[153, 51, 9*w + 3]', '[153, 51, 9*w - 3]', '[158, 158, 9*w - 2]', '[158, 158, 9*w + 2]', '[161, 161, -9*w - 1]', '[161, 161, 2*w - 13]', '[161, 161, -2*w - 13]', '[161, 161, -9*w + 1]', '[162, 18, -9*w]', '[164, 82, 4*w - 14]', '[164, 82, -4*w - 14]', '[167, 167, -w - 13]', '[167, 167, w - 13]', '[169, 13, -13]', '[175, 35, -10*w + 5]', '[175, 35, -10*w - 5]', '[178, 178, 11*w - 8]', '[178, 178, 11*w + 8]', '[184, 92, -10*w + 4]', '[184, 92, -10*w - 4]', '[188, 94, -2*w - 14]', '[188, 94, 2*w - 14]', '[191, 191, 10*w - 3]', '[191, 191, -10*w - 3]', '[193, 193, -4*w - 15]', '[193, 193, 4*w - 15]', '[194, 194, w + 14]', '[194, 194, w - 14]', '[196, 14, 14]', '[196, 98, 10*w + 2]', '[196, 98, 10*w - 2]', '[199, 199, -10*w - 1]', '[199, 199, 10*w - 1]', '[200, 20, -10*w]', '[206, 206, 11*w + 6]', '[206, 206, 11*w - 6]', '[207, 69, 3*w + 15]', '[207, 69, -3*w + 15]', '[217, 217, -11*w + 5]', '[217, 217, 2*w - 15]', '[217, 217, 2*w + 15]', '[217, 217, 11*w + 5]', '[223, 223, -w - 15]', '[223, 223, w - 15]', '[224, 56, 4*w + 16]', '[224, 56, -4*w + 16]', '[225, 15, 15]', '[226, 226, 11*w + 4]', '[226, 226, 11*w - 4]', '[233, 233, -11*w - 3]', '[233, 233, 11*w - 3]', '[238, 238, -3*w + 16]', '[238, 238, 11*w - 2]', '[238, 238, 11*w + 2]', '[238, 238, 3*w + 16]', '[239, 239, -5*w - 17]', '[239, 239, 5*w - 17]', '[241, 241, -11*w - 1]', '[241, 241, 11*w - 1]', '[242, 22, 11*w]', '[248, 124, -2*w - 16]', '[248, 124, -2*w + 16]', '[252, 42, -12*w + 6]', '[252, 42, -12*w - 6]', '[254, 254, w + 16]', '[254, 254, w - 16]', '[256, 16, 16]', '[257, 257, 4*w - 17]', '[257, 257, -4*w - 17]', '[263, 263, 7*w - 19]', '[263, 263, -7*w - 19]', '[271, 271, -3*w - 17]', '[271, 271, 3*w - 17]', '[272, 68, 12*w + 4]', '[272, 68, 12*w - 4]', '[274, 274, 13*w + 8]', '[274, 274, 13*w - 8]', '[279, 93, 12*w + 3]', '[279, 93, -12*w + 3]', '[281, 281, 2*w - 17]', '[281, 281, -2*w - 17]', '[284, 142, -12*w - 2]', '[284, 142, 12*w - 2]', '[287, 287, 16*w - 15]', '[287, 287, 12*w + 1]', '[287, 287, 12*w - 1]', '[287, 287, 16*w + 15]', '[288, 24, -12*w]', '[289, 17, 17]', '[289, 289, 13*w + 7]', '[289, 289, 13*w - 7]', '[292, 146, -14*w - 10]', '[292, 146, 14*w - 10]', '[302, 302, 13*w - 6]', '[302, 302, 13*w + 6]', '[306, 102, -3*w - 18]', '[306, 102, 3*w - 18]', '[311, 311, -5*w - 19]', '[311, 311, 5*w - 19]', '[313, 313, -8*w - 21]', '[313, 313, 8*w - 21]', '[316, 158, -2*w - 18]', '[316, 158, 2*w - 18]', '[322, 322, w + 18]', '[322, 322, 13*w - 4]', '[322, 322, 13*w + 4]', '[322, 322, -w + 18]', '[324, 18, 18]', '[328, 164, 14*w + 8]', '[328, 164, 14*w - 8]', '[329, 329, 15*w - 11]', '[329, 329, 13*w - 3]', '[329, 329, 13*w + 3]', '[329, 329, 15*w + 11]', '[334, 334, 13*w - 2]', '[334, 334, 13*w + 2]', '[337, 337, -13*w - 1]', '[337, 337, 13*w - 1]', '[338, 26, 13*w]', '[343, 49, -14*w + 7]', '[343, 49, -14*w - 7]', '[343, 343, 3*w - 19]', '[343, 343, -3*w - 19]', '[350, 70, 5*w + 20]', '[350, 70, -5*w + 20]', '[353, 353, 2*w - 19]', '[353, 353, -2*w - 19]', '[356, 178, -8*w - 22]', '[356, 178, 8*w - 22]', '[359, 359, -w - 19]', '[359, 359, w - 19]', '[361, 19, -19]', '[367, 367, 9*w - 23]', '[367, 367, -9*w - 23]', '[368, 92, 4*w + 20]', '[368, 92, -4*w + 20]', '[369, 123, 6*w - 21]', '[369, 123, -6*w - 21]', '[376, 188, 14*w - 4]', '[376, 188, 14*w + 4]', '[382, 382, 3*w + 20]', '[382, 382, 3*w - 20]', '[383, 383, -14*w - 3]', '[383, 383, 14*w - 3]', '[386, 386, 15*w + 8]', '[386, 386, 15*w - 8]', '[388, 194, -14*w - 2]', '[388, 194, 14*w - 2]', '[391, 391, 14*w + 1]', '[391, 391, -5*w + 21]', '[391, 391, 5*w + 21]', '[391, 391, 14*w - 1]', '[392, 28, -14*w]', '[392, 196, -2*w - 20]', '[392, 196, 2*w - 20]', '[398, 398, w + 20]', '[398, 398, w - 20]', '[400, 20, 20]', '[401, 401, -8*w - 23]', '[401, 401, 8*w - 23]', '[409, 409, -17*w - 13]', '[409, 409, 17*w - 13]', '[412, 206, -6*w - 22]', '[412, 206, 6*w - 22]', '[414, 138, -15*w + 6]', '[414, 138, -15*w - 6]', '[423, 141, -3*w - 21]', '[423, 141, 3*w - 21]', '[425, 85, 15*w + 5]', '[425, 85, 15*w - 5]', '[431, 431, -7*w - 23]', '[431, 431, 7*w - 23]', '[433, 433, 2*w - 21]', '[433, 433, -2*w - 21]', '[434, 434, -15*w - 4]', '[434, 434, -5*w - 22]', '[434, 434, -5*w + 22]', '[434, 434, 15*w - 4]', '[439, 439, -w - 21]', '[439, 439, w - 21]', '[441, 21, 21]', '[441, 147, 15*w + 3]', '[441, 147, 15*w - 3]', '[446, 446, 15*w - 2]', '[446, 446, 15*w + 2]', '[448, 56, -16*w + 8]', '[448, 56, -16*w - 8]', '[449, 449, -15*w - 1]', '[449, 449, 15*w - 1]', '[450, 30, -15*w]', '[452, 226, 4*w - 22]', '[452, 226, -4*w - 22]', '[457, 457, -6*w - 23]', '[457, 457, 6*w - 23]', '[463, 463, 9*w - 25]', '[463, 463, -9*w - 25]', '[466, 466, 3*w - 22]', '[466, 466, 3*w + 22]', '[476, 238, -2*w - 22]', '[476, 238, -16*w - 6]', '[476, 238, -16*w + 6]', '[476, 238, 2*w - 22]', '[478, 478, 17*w - 10]', '[478, 478, 17*w + 10]', '[479, 479, -18*w - 13]', '[479, 479, 18*w - 13]', '[482, 482, w + 22]', '[482, 482, w - 22]', '[484, 22, -22]', '[487, 487, 16*w - 5]', '[487, 487, -16*w - 5]', '[496, 124, 16*w + 4]', '[496, 124, -16*w + 4]', '[497, 497, 8*w - 25]', '[497, 497, -4*w - 23]', '[497, 497, -4*w + 23]', '[497, 497, 8*w + 25]', '[503, 503, 16*w - 3]', '[503, 503, -16*w - 3]', '[504, 84, 6*w + 24]', '[504, 84, -6*w + 24]', '[508, 254, -16*w - 2]', '[508, 254, 16*w - 2]', '[511, 511, 17*w + 33]', '[511, 511, 3*w + 23]', '[511, 511, 3*w - 23]', '[511, 511, 17*w - 33]', '[512, 32, -16*w]', '[514, 514, 17*w - 8]', '[514, 514, 17*w + 8]', '[521, 521, 2*w - 23]', '[521, 521, -2*w - 23]', '[526, 526, 19*w - 14]', '[526, 526, 19*w + 14]', '[527, 527, -w - 23]', '[527, 527, 7*w - 25]', '[527, 527, 7*w + 25]', '[527, 527, -w + 23]', '[529, 23, 23]', '[529, 529, 17*w + 7]', '[529, 529, 17*w - 7]', '[542, 542, 17*w + 6]', '[542, 542, 17*w - 6]', '[544, 136, -4*w - 24]', '[544, 136, 4*w - 24]', '[548, 274, 8*w - 26]', '[548, 274, -8*w - 26]', '[553, 553, 19*w + 13]', '[553, 553, 17*w + 5]', '[553, 553, 17*w - 5]', '[553, 553, 19*w - 13]', '[558, 186, -3*w - 24]', '[558, 186, -3*w + 24]', '[562, 562, 17*w - 4]', '[562, 562, 17*w + 4]', '[567, 63, -18*w + 9]', '[567, 63, -18*w - 9]', '[568, 284, 2*w + 24]', '[568, 284, 2*w - 24]', '[569, 569, -17*w - 3]', '[569, 569, 17*w - 3]', '[574, 574, -w - 24]', '[574, 574, -15*w - 32]', '[574, 574, 15*w - 32]', '[574, 574, w - 24]', '[575, 115, 5*w + 25]', '[575, 115, -5*w + 25]', '[576, 24, 24]', '[577, 577, -17*w - 1]', '[577, 577, 17*w - 1]', '[578, 34, -17*w]', '[578, 578, 7*w - 26]', '[578, 578, -7*w - 26]', '[584, 292, 10*w + 28]', '[584, 292, 10*w - 28]', '[593, 593, 4*w - 25]', '[593, 593, -4*w - 25]', '[599, 599, -11*w - 29]', '[599, 599, 11*w - 29]', '[601, 601, 8*w - 27]', '[601, 601, -8*w - 27]', '[604, 302, 6*w - 26]', '[604, 302, -6*w - 26]', '[607, 607, 3*w - 25]', '[607, 607, -3*w - 25]', '[612, 102, 18*w + 6]', '[612, 102, 18*w - 6]', '[617, 617, 2*w - 25]', '[617, 617, -2*w - 25]', '[622, 622, 19*w + 10]', '[622, 622, 19*w - 10]', '[623, 623, 26*w + 27]', '[623, 623, 18*w - 5]', '[623, 623, 18*w + 5]', '[623, 623, 26*w - 27]', '[625, 25, 25]', '[626, 626, 21*w + 16]', '[626, 626, 21*w - 16]', '[631, 631, -7*w - 27]', '[631, 631, 7*w - 27]', '[632, 316, 18*w - 4]', '[632, 316, 18*w + 4]', '[639, 213, -18*w - 3]', '[639, 213, 18*w - 3]', '[641, 641, -10*w - 29]', '[641, 641, 10*w - 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101]', '[8951, 8951, -25*w - 101]', '[8969, 8969, 67*w - 3]', '[8969, 8969, -67*w - 3]', '[8999, 8999, -35*w - 107]', '[8999, 8999, 35*w - 107]', '[9001, 9001, 79*w - 59]', '[9001, 9001, -79*w - 59]', '[9007, 9007, -3*w - 95]', '[9007, 9007, 3*w - 95]', '[9041, 9041, 28*w - 103]', '[9041, 9041, -28*w - 103]', '[9049, 9049, 24*w - 101]', '[9049, 9049, -24*w - 101]', '[9103, 9103, 31*w - 105]', '[9103, 9103, -31*w - 105]', '[9127, 9127, -68*w - 11]', '[9127, 9127, 68*w - 11]', '[9137, 9137, 34*w - 107]', '[9137, 9137, -34*w - 107]', '[9151, 9151, -27*w - 103]', '[9151, 9151, 27*w - 103]', '[9161, 9161, 69*w - 19]', '[9161, 9161, -69*w - 19]', '[9199, 9199, 68*w - 7]', '[9199, 9199, -68*w - 7]', '[9209, 9209, 10*w - 97]', '[9209, 9209, -10*w - 97]', '[9239, 9239, -68*w - 3]', '[9239, 9239, 68*w - 3]', '[9241, 9241, -42*w - 113]', '[9241, 9241, 42*w - 113]', '[9257, 9257, -26*w - 103]', '[9257, 9257, 26*w - 103]', '[9281, 9281, 8*w - 97]', '[9281, 9281, -8*w - 97]', '[9311, 9311, -7*w - 97]', '[9311, 9311, 7*w - 97]', '[9319, 9319, -80*w - 59]', '[9319, 9319, 80*w - 59]', '[9337, 9337, 6*w - 97]', '[9337, 9337, -6*w - 97]', '[9343, 9343, -29*w - 105]', '[9343, 9343, 29*w - 105]', '[9377, 9377, 4*w - 97]', '[9377, 9377, -4*w - 97]', '[9391, 9391, 3*w - 97]', '[9391, 9391, -3*w - 97]', '[9431, 9431, 35*w - 109]', '[9431, 9431, -35*w - 109]', '[9433, 9433, -38*w - 111]', '[9433, 9433, 38*w - 111]', '[9439, 9439, 70*w - 19]', '[9439, 9439, -70*w - 19]', '[9463, 9463, 13*w - 99]', '[9463, 9463, -13*w - 99]', '[9473, 9473, -69*w - 7]', '[9473, 9473, 69*w - 7]', '[9479, 9479, 82*w - 63]', '[9479, 9479, -82*w - 63]', '[9497, 9497, -69*w - 5]', '[9497, 9497, 69*w - 5]', '[9511, 9511, -70*w - 17]', '[9511, 9511, 70*w - 17]', '[9521, 9521, -69*w - 1]', '[9521, 9521, 69*w - 1]', '[9551, 9551, 80*w - 57]', '[9551, 9551, -80*w - 57]', '[9601, 9601, -10*w - 99]', '[9601, 9601, 10*w - 99]', '[9623, 9623, -84*w + 67]', '[9623, 9623, 84*w + 67]', '[9631, 9631, -70*w - 13]', '[9631, 9631, 70*w - 13]', '[9649, 9649, -30*w - 107]', '[9649, 9649, 30*w - 107]', '[9679, 9679, 70*w - 11]', '[9679, 9679, -70*w - 11]', '[9689, 9689, -16*w - 101]', '[9689, 9689, 16*w - 101]', '[9697, 9697, 42*w - 115]', '[9697, 9697, -42*w - 115]', '[9719, 9719, 70*w - 9]', '[9719, 9719, -70*w - 9]', '[9721, 9721, -71*w - 19]', '[9721, 9721, 71*w - 19]', '[9743, 9743, -47*w - 119]', '[9743, 9743, 47*w - 119]', '[9767, 9767, -29*w - 107]', '[9767, 9767, 29*w - 107]', '[9769, 9769, -4*w - 99]', '[9769, 9769, 4*w - 99]', '[9791, 9791, 70*w - 3]', '[9791, 9791, -70*w - 3]', '[9817, 9817, -44*w - 117]', '[9817, 9817, 44*w - 117]', '[9833, 9833, 32*w - 109]', '[9833, 9833, -32*w - 109]', '[9839, 9839, -49*w - 121]', '[9839, 9839, 49*w - 121]', '[9857, 9857, -71*w - 15]', '[9857, 9857, 71*w - 15]', '[9871, 9871, 35*w - 111]', '[9871, 9871, -35*w - 111]', '[9887, 9887, 84*w - 65]', '[9887, 9887, -84*w - 65]', '[9929, 9929, -46*w - 119]', '[9929, 9929, 46*w - 119]', '[9967, 9967, 82*w - 59]', '[9967, 9967, -82*w - 59]']}
• 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
  gal_is_abelian	boolean
  gal_is_cyclic	boolean
  gal_is_solvable	boolean
  galois_label	text
  galt	integer
  index	integer
  inessentialp	integer[]
  is_galois	boolean
  iso_number	smallint
  label	text
  local_algs	text[]
  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
  torsion_gen	text
  units	jsonb
  unitsGmodule	jsonb
  unitsType	text
  zk	jsonb

  
  {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-2, 0, 1], 'conductor': 8, 'degree': 2, 'dirichlet_group': [1, 5], 'disc_abs': 8, 'disc_rad': 2, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[2, 1]]], [5, [[2, 1]]], [7, [[1, 2]]], [11, [[2, 1]]], [13, [[2, 1]]], [17, [[1, 2]]], [19, [[2, 1]]], [23, [[1, 2]]], [29, [[2, 1]]], [31, [[1, 2]]], [37, [[2, 1]]], [41, [[1, 2]]], [43, [[2, 1]]], [47, [[1, 2]]], [53, [[2, 1]]], [59, [[2, 1]]]], 'gal_is_abelian': True, 'gal_is_cyclic': True, 'gal_is_solvable': True, 'galois_label': '2T1', 'galt': 1, 'index': 1, 'inessentialp': [], 'is_galois': True, 'iso_number': 1, 'label': '2.2.8.1', 'local_algs': ['2.2.3.1'], 'monogenic': 1, 'num_ram': 1, 'r2': 0, 'ramps': [2], 'rd': 2.82842712475, 'regulator': {'__RealLiteral__': 0, 'data': '0.88137358702', 'prec': 44}, 'res': {}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a + 1 \\)'], 'used_grh': False, 'zk': ['1', 'a']}