Hilbert modular form data - 2.2.12.1-1458.1-j

Formats: - HTML - YAML - JSON - 2026-07-15T15:58:09.112856

• 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': 1, 'disc': 12, 'field_bad_primes': [2, 3], 'field_label': '2.2.12.1', 'is_CM': 'no', 'is_base_change': 'no', 'label': '2.2.12.1-1458.1-j', 'label_nsuffix': 9, 'label_suffix': 'j', 'level_bad_primes': [2, 3], 'level_ideal': '[1458, 54, -27*w + 27]', 'level_label': '1458.1', 'level_norm': 1458, 'parallel_weight': 2, 'short_label': '1458.1-j', 'weight': '[2, 2]'}
• hmf_hecke •

  Column	Type
  AL_eigenvalues	jsonb
  hecke_eigenvalues	jsonb
  hecke_polynomial	text
  label	text

  
  {'AL_eigenvalues': [['[2, 2, -w + 1]', -1], ['[3, 3, w]', -1]], 'hecke_eigenvalues': [1, 0, 3, 3, 2, 2, 6, -3, -4, -1, 8, 3, -6, -4, 6, -12, -13, -4, 0, 9, 8, -10, -15, 12, -10, 17, 18, 0, -10, -1, -12, 6, 2, -7, -12, -21, 18, 18, -7, 20, 12, 21, -16, 2, -15, 12, -16, -7, 24, -12, 14, -22, -27, 9, 30, -15, -19, 8, -1, -12, -21, -4, -22, 14, 14, 24, 15, 26, -1, 0, 27, 38, -4, -31, 24, 6, 8, -10, 11, 29, 33, 33, 5, -4, 0, -18, 26, -37, -24, -15, 14, -22, -27, 9, -42, 21, 24, 6, 18, 0, -10, 26, -21, -39, 26, 8, -6, -24, -12, 24, -4, -40, -34, 20, -18, 0, -6, -6, -43, -34, 23, -31, -45, 9, -22, 5, 27, 18, 32, 5, -30, -21, 29, 2, -52, 2, -54, 0, -34, -34, 30, -15, 20, 44, -10, 45, -36, 11, -34, -3, 6, -6, -15, -19, 17, -6, -24, -10, -45, 27, -15, 30, 23, 50, 26, 35, 12, 12, -43, 38, 60, 24, 23, 14, -58, 59, -60, 21, -25, 56, 24, -48, -28, -19, 50, -4, -36, 45, 53, 26, 12, 12, -36, -18, -52, -52, -28, 53, -18, -27, 23, -58, -40, -4, 0, -36, -48, 60, 2, 2, -42, 30, -48, 24, -1, -55, 9, 18, -61, 20, 33, 60, -31, -58, -9, 0, -60, 66, 2, -34, -60, -69, -61, -7, 15, -12, 18, 0, -15, 12, 65, -70, 30, 48, -30, -12, -9, -54, 47, 20, 24, 51, 59, 23, 18, -36, -28, -10, 11, -43, 48, -78, 74, 2, 35, -34, -7, -70, 20, -1, 26, -34, 83, -21, -3, 14, 50, -10, 8, 30, 48, 6, 51, 48, 12, 41, 14, -22, -27, 18, 44, 44, -18, -36, -48, -30, 68, 14, -36, 9, -16, 38, 42, 24, -34, 74, -60, -33, 5, -22, -84, 87, -19, -46, -33, -24, -18, -72, 65, -43, -6, 48, -30, -84, -40, -4, -22, 32, 53, -37, 84, 12, 62, -46, 66, -60, 36, 0, 44, 53, -40, -40, -4, -58, 9, 36, 80, 26, 21, 48, -19, 35, 65, 74, -30, 15, -36, -18, -69, -78, -22, -22, 18, 81, 57, 39, 86, -4, 38, -43, 84, 39, 51, 42, 53, -28, 60, -21, 0, 36, -19, 89, -76, -40, 72, 81, -43, -52, -48, 33, -22, 77, -72, -72, 39, 66, 11, 74, 29, 20, 68, 95, 2, -69, -15, -76, 14, 9, 36, -52, 20, -9, -90, 24, 6, 56, -79, 12, 48, -12, 69, -82, 8, 12, 48, 84, -69, 2, -16, 6, -12, -72, -9, -13, -40, -82, 26, 26, 62, 24, 33, -97, 56, 60, -84, 14, -13, 0, 72, 80, -100, 23, -4, 96, -93, -54, -36, 5, 113, 44, 98, 12, -69, 38, 20, 60, 24, -49, 32, 80, -28, -24, 48, 36, -72, 102, 84, -97, -61, 24, -66, -112, -31, -93, -48, 86, 32, -37, -82, 12, -87, 68, -67, 45, 27, 50, 95, 18, 81, -46, -10, 75, 3, 59, 32, 83, 74, -21, -66, -37, 8, 33, 15, -54, 45, -19, 89, -82, 26, -64, 71, -87, -60, 50, 14, 24, 87, 14, -67, 0, -72, 56, -52, -30, 6, 63, 27, 98, -46, -87, -78, 17, -10, -19, 62, -48, -21, 36, 54, -102, 114, 12, -24, 42, -30, 32, 41, -76, -22, 75, -6, -12, -12, 17, 44, -102, 87, 32, 68, 54, 36, 20, 2, -88, -88, 32, 50, 9, -9, 21, 84, 20, 29, -12, -30, -22, 32, -54, -108, 29, 65, 35, 26, 117, 126, 74, -70, 24, -84, -18, 0, 35, 128, 20, 6, -120, -6, -132, -94, 14, 122, 59, 84, 84, 8, -19, -34, 74, -81, 36, -70, -88, 18, -27, 30, 30, 96, -39, -22, 86, 72, 27, 72, -18, 17, -118, 84, 39, 2, 47, 116, 89, -37, -28, 48, 12, 20, 110, 132, 42, -54, -126, -19, -64, 48, -114, 113, -112, -72, 108, 44, 26, -55, -55, 45, -36, -45, 126, -123, 93, 71, -28, -141, 30, 60, -84, -40, -22, -10, -10, 117, 9, -12, -30, 110, 2, -1, 26, -123, -78, -85, 50, -129, 24, 68, -94, 84, -105, 96, -102, -102, -48, 108, -27, -40, -94, 62, -109, 20, 110, -18, 45, -132, 84, -36, -27, 3, 66, -40, -148, -75, -21, -58, 23, 116, 62, -37, -46, -33, -42, 132, -57, -58, -112, -126, 90, -97, -16, -10, -100, -142, 74, -3, 78, 2, 2, 14, -76, 24, -57, -15, 12, -76, -58, 48, -114, 53, -82, 117, 36, 38, 119, -15, -24, -115, -79, 117, 36, -12, -12, 45, -108, 146, -34, 12, 21, -27, -36, -58, 59, 54, -63, 113, -13, 47, 47, -114, 30, 38, -106, 33, 60, 138, 30, 68, -112, 26, -28, -130, -63, -90, -133, 56, 69, 60, 90, 126, 44, -10, 12, 84, 60, 60, 47, -34, 105, 96, -58, 32, -19, 116, 107, 26, 74, 110, 152, 98, 2, 83, -114, 120, -70, -16, 72, 18, -115, -7, -69, 75, 98, -118, 48, 21, 131, 104, -18, 0, 20, -61, -130, 113, -70, 74, -12, 33, -55, 62, -6, 120, 2, -43, -120, -48, 122, 95, 45, 27, -75, 87, -112, 50, 98, -64, 24, -138, 51, -39, 72, 144, -108, -126, -136, -46, 129, -132, -4, -112, -84, 96, -36, -9, -124, -133, -99, 81, 105, 69, -82, 62, -61, 2, 78, 24, 48, -33, -63, -54, -160, -106, -129, -102, -106, -7, 87, 132, -51, 12, 140, -103, 29, 2, -60, -96, -24, 156, 140, 86, 144, 72, -82, -163, 110, 65, 132, -120, 98, -37, -85, 50, -166, -4, -28, -82, -27, 81, 26, 134, -99, 54, -118, -118, 129, -141, -27, 36, -22, -76, 60, -12, -91, -10, 99, -126, -64, 80, -70, 74, 96, 60, -78, 84, 32, 5, 102, -6, -55, -10, 38, -7, 105, -120, 126, 63, -4, -166, -21, -84, -118, 116, -97, -25, -7, 92, -78, 21, 104, -130, -36, -108, 96, -12, 153, -108, 17, -16, -43, 29, -106, -13, -103, 84, 21, 14, -58, 60, 123, 59, -139, -79, 164, -141, 174, 24, -48, -42, -168, -100, -154, 9, 108, -106, 56, 84, 174, -94, 41, 24, -21, -130, -148, 0, -72, -154, 62, 12, -96, 74, 74, 80, 17, 11, 101, -109, 62, 12, -132, 59, 5, -27, 153, -34, -34, 108, 0, -102, -120, 38, 11, 98, -64, 48, -141, 20, -106, -165, -12, 71, 152, -10, 53, -3, -30, -16, 173, -70, -16, 24, -30, -64, 170, 5, 50, -18, -18, 47, -70, -36, 63, -48, -66, 135, 153, 71, 8, -60, 75, -132, 12, -91, 44, -55, -82, -22, -184, 168, 78, 36, -9, 180, -45, -127, -55, 156, -87, -133, -34, -142, 128, 42, 6, 179, -172, -85, -40, -184, -49, 152, -55, 78, 150, 120, -6, -21, 186, -40, -4, 41, 122, -120, 168, -18, 36, -16, 92, -46, -19, 102, 30, -55, 98, 24, 78, -28, -55, 18, -153, -154, 26, 108, 63, -15, -6, -102, -48, -36, 126, -42, -15, -78, 102, -130, 23, -37, -82, 111, 174, 134, 35, -16, -97, -22, -22, -153, -18, 17, 134, -121, -40, 141, -66, 165, 102, -139, 185, 62, 8, 18, -99, 147, 165, 17, 71, -73, 62, -96, -150, -48, 96, 6, 15, 74, 101, 114, -66, 41, 122, 125, -118], 'hecke_polynomial': 'x', 'label': '2.2.12.1-1458.1-j'}
• hmf_fields •

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

  
  {'degree': 2, 'discriminant': 12, 'ideals': ['[1, 1, 1]', '[2, 2, -w + 1]', '[3, 3, w]', '[4, 2, 2]', '[6, 6, w - 3]', '[8, 4, -2*w + 2]', '[9, 3, 3]', '[11, 11, -2*w + 1]', '[11, 11, 2*w + 1]', '[12, 6, 2*w]', '[13, 13, w + 4]', '[13, 13, -w + 4]', '[16, 4, 4]', '[18, 6, -3*w + 3]', '[22, 22, w + 5]', '[22, 22, w - 5]', '[23, 23, -3*w + 2]', '[23, 23, 3*w + 2]', '[24, 12, 2*w - 6]', '[25, 5, 5]', '[26, 26, -3*w - 1]', '[26, 26, -3*w + 1]', '[27, 9, 3*w]', '[32, 8, -4*w + 4]', '[33, 33, w + 6]', '[33, 33, w - 6]', '[36, 6, 6]', '[37, 37, 2*w - 7]', '[37, 37, -2*w - 7]', '[39, 39, 4*w - 3]', '[39, 39, 4*w + 3]', '[44, 22, -4*w + 2]', '[44, 22, 4*w + 2]', '[46, 46, w + 7]', '[46, 46, w - 7]', '[47, 47, -4*w - 1]', '[47, 47, 4*w - 1]', '[48, 12, 4*w]', '[49, 7, -7]', '[50, 10, -5*w + 5]', '[52, 26, 2*w + 8]', '[52, 26, -2*w + 8]', '[54, 18, 3*w - 9]', '[59, 59, 5*w - 4]', '[59, 59, -5*w - 4]', '[61, 61, -w - 8]', '[61, 61, w - 8]', '[64, 8, 8]', '[66, 66, 5*w + 3]', '[66, 66, -5*w + 3]', '[69, 69, 2*w - 9]', '[69, 69, 2*w + 9]', '[71, 71, 5*w - 2]', '[71, 71, -5*w - 2]', '[72, 12, -6*w + 6]', '[73, 73, 3*w - 10]', '[73, 73, -3*w - 10]', '[74, 74, 9*w - 13]', '[74, 74, 5*w - 1]', '[75, 15, 5*w]', '[78, 78, -w - 9]', '[78, 78, w - 9]', '[81, 9, 9]', '[83, 83, 6*w - 5]', '[83, 83, -6*w - 5]', '[88, 44, 2*w + 10]', '[88, 44, 2*w - 10]', '[92, 46, -6*w + 4]', '[92, 46, 6*w + 4]', '[94, 94, 5*w - 13]', '[94, 94, -3*w + 11]', '[96, 24, 4*w - 12]', '[97, 97, -w - 10]', '[97, 97, w - 10]', '[98, 14, 7*w - 7]', '[99, 33, -6*w + 3]', '[99, 33, 6*w + 3]', '[100, 10, 10]', '[104, 52, -6*w - 2]', '[104, 52, -6*w + 2]', '[107, 107, -6*w - 1]', '[107, 107, 6*w - 1]', '[108, 18, 6*w]', '[109, 109, 2*w - 11]', '[109, 109, -2*w - 11]', '[111, 111, -7*w + 6]', '[111, 111, -7*w - 6]', '[117, 39, 3*w + 12]', '[117, 39, -3*w + 12]', '[118, 118, 9*w - 19]', '[118, 118, -w + 11]', '[121, 11, 11]', '[121, 121, -4*w + 13]', '[121, 121, 4*w + 13]', '[122, 122, 9*w - 11]', '[122, 122, 7*w - 5]', '[128, 16, -8*w + 8]', '[131, 131, -7*w - 4]', '[131, 131, 7*w - 4]', '[132, 66, 2*w + 12]', '[132, 66, 2*w - 12]', '[138, 138, -7*w + 3]', '[138, 138, 7*w + 3]', '[141, 141, -w - 12]', '[141, 141, -w + 12]', '[142, 142, -3*w + 13]', '[142, 142, 7*w - 17]', '[143, 143, 8*w - 7]', '[143, 143, 7*w - 2]', '[143, 143, -7*w - 2]', '[143, 143, -8*w - 7]', '[144, 12, 12]', '[146, 146, 13*w - 19]', '[146, 146, 7*w - 1]', '[147, 21, -7*w]', '[148, 74, 4*w - 14]', '[148, 74, -4*w - 14]', '[150, 30, 5*w - 15]', '[156, 78, 8*w - 6]', '[156, 78, 8*w + 6]', '[157, 157, 2*w - 13]', '[157, 157, -2*w - 13]', '[162, 18, -9*w + 9]', '[166, 166, 11*w - 23]', '[166, 166, -w + 13]', '[167, 167, 8*w - 5]', '[167, 167, -8*w - 5]', '[169, 13, 13]', '[169, 169, 3*w + 14]', '[169, 169, -3*w + 14]', '[176, 44, -8*w + 4]', '[176, 44, 8*w + 4]', '[177, 177, -4*w - 15]', '[177, 177, -4*w + 15]', '[179, 179, 9*w - 8]', '[179, 179, -9*w - 8]', '[181, 181, 5*w - 16]', '[181, 181, -5*w - 16]', '[183, 183, -8*w - 3]', '[183, 183, -8*w + 3]', '[184, 92, 2*w + 14]', '[184, 92, 2*w - 14]', '[188, 94, -8*w - 2]', '[188, 94, 8*w - 2]', '[191, 191, -8*w - 1]', '[191, 191, 8*w - 1]', '[192, 24, 8*w]', '[193, 193, -w - 14]', '[193, 193, w - 14]', '[194, 194, 11*w - 13]', '[194, 194, 9*w - 7]', '[196, 14, -14]', '[198, 66, 3*w + 15]', '[198, 66, 3*w - 15]', '[200, 20, -10*w + 10]', '[207, 69, -9*w + 6]', '[207, 69, 9*w + 6]', '[208, 52, 4*w + 16]', '[208, 52, -4*w + 16]', '[213, 213, -2*w + 15]', '[213, 213, -2*w - 15]', '[214, 214, 7*w - 19]', '[214, 214, -5*w + 17]', '[216, 36, 6*w - 18]', '[218, 218, 13*w - 17]', '[218, 218, 9*w - 5]', '[219, 219, -10*w + 9]', '[219, 219, -10*w - 9]', '[222, 222, -13*w + 27]', '[222, 222, -w + 15]', '[225, 15, 15]', '[227, 227, 9*w - 4]', '[227, 227, -9*w - 4]', '[229, 229, 3*w - 16]', '[229, 229, -3*w - 16]', '[234, 78, -9*w - 3]', '[234, 78, -9*w + 3]', '[236, 118, 10*w - 8]', '[236, 118, -10*w - 8]', '[239, 239, 9*w - 2]', '[239, 239, -9*w - 2]', '[241, 241, 4*w - 17]', '[241, 241, -4*w - 17]', '[242, 22, 11*w - 11]', '[242, 242, -9*w - 1]', '[242, 242, -9*w + 1]', '[243, 27, 9*w]', '[244, 122, -2*w - 16]', '[244, 122, 2*w - 16]', '[249, 249, -5*w + 18]', '[249, 249, -5*w - 18]', '[251, 251, -10*w - 7]', '[251, 251, 10*w - 7]', '[253, 253, -w - 16]', '[253, 253, -6*w + 19]', '[253, 253, 6*w + 19]', '[253, 253, w - 16]', '[256, 16, 16]', '[262, 262, 11*w - 25]', '[262, 262, -3*w + 17]', '[263, 263, 11*w - 10]', '[263, 263, -11*w - 10]', '[264, 132, 10*w + 6]', '[264, 132, -10*w + 6]', '[275, 55, -10*w + 5]', '[275, 55, 10*w + 5]', '[276, 138, 4*w - 18]', '[276, 138, 4*w + 18]', '[277, 277, 2*w - 17]', '[277, 277, -2*w - 17]', '[282, 282, -13*w + 15]', '[282, 282, 11*w - 9]', '[284, 142, 10*w - 4]', '[284, 142, -10*w - 4]', '[286, 286, -w - 17]', '[286, 286, -5*w - 19]', '[286, 286, -5*w + 19]', '[286, 286, -w + 17]', '[288, 24, -12*w + 12]', '[289, 17, -17]', '[291, 291, -10*w + 3]', '[291, 291, -10*w - 3]', '[292, 146, 6*w - 20]', '[292, 146, -6*w - 20]', '[294, 42, -7*w + 21]', '[296, 148, 18*w - 26]', '[296, 148, 10*w - 2]', '[297, 99, 3*w + 18]', '[297, 99, 3*w - 18]', '[299, 299, -10*w - 1]', '[299, 299, 11*w - 8]', '[299, 299, -11*w - 8]', '[299, 299, 10*w - 1]', '[300, 30, 10*w]', '[311, 311, 12*w - 11]', '[311, 311, -12*w - 11]', '[312, 156, -2*w - 18]', '[312, 156, 2*w - 18]', '[313, 313, -4*w - 19]', '[313, 313, 4*w - 19]', '[314, 314, 11*w - 7]', '[314, 314, 15*w - 19]', '[321, 321, -w - 18]', '[321, 321, -w + 18]', '[324, 18, 18]', '[325, 65, 5*w + 20]', '[325, 65, -5*w + 20]', '[327, 327, -11*w - 6]', '[327, 327, -11*w + 6]', '[332, 166, 12*w - 10]', '[332, 166, -12*w - 10]', '[333, 111, 6*w - 21]', '[333, 111, -6*w - 21]', '[334, 334, -3*w + 19]', '[334, 334, 13*w - 29]', '[337, 337, 7*w - 22]', '[337, 337, -7*w - 22]', '[338, 26, -13*w + 13]', '[338, 338, -11*w + 5]', '[338, 338, -11*w - 5]', '[347, 347, -11*w - 4]', '[347, 347, 11*w - 4]', '[349, 349, 2*w - 19]', '[349, 349, -2*w - 19]', '[351, 117, 12*w - 9]', '[351, 117, 12*w + 9]', '[352, 88, 4*w + 20]', '[352, 88, 4*w - 20]', '[354, 354, -19*w + 27]', '[354, 354, 11*w - 3]', '[358, 358, 17*w - 35]', '[358, 358, -w + 19]', '[359, 359, 11*w - 2]', '[359, 359, -11*w - 2]', '[361, 19, -19]', '[362, 362, 21*w - 31]', '[362, 362, 11*w - 1]', '[363, 33, -11*w]', '[363, 363, 13*w - 12]', '[363, 363, 13*w + 12]', '[366, 366, -5*w + 21]', '[366, 366, -11*w + 27]', '[368, 92, -12*w + 8]', '[368, 92, 12*w + 8]', '[373, 373, -3*w - 20]', '[373, 373, 3*w - 20]', '[376, 188, 10*w - 26]', '[376, 188, -6*w + 22]', '[382, 382, 9*w - 25]', '[382, 382, -7*w + 23]', '[383, 383, 12*w - 7]', '[383, 383, -12*w - 7]', '[384, 48, 8*w - 24]', '[386, 386, 15*w - 17]', '[386, 386, 13*w - 11]', '[388, 194, -2*w - 20]', '[388, 194, 2*w - 20]', '[392, 28, 14*w - 14]', '[393, 393, -4*w + 21]', '[393, 393, -4*w - 21]', '[396, 66, -12*w + 6]', '[396, 66, 12*w + 6]', '[397, 397, -w - 20]', '[397, 397, w - 20]', '[400, 20, 20]', '[407, 407, 16*w - 19]', '[407, 407, 12*w + 5]', '[407, 407, -12*w + 5]', '[407, 407, -16*w - 19]', '[409, 409, -5*w - 22]', '[409, 409, 5*w - 22]', '[414, 138, 3*w + 21]', '[414, 138, 3*w - 21]', '[416, 104, -12*w - 4]', '[416, 104, -12*w + 4]', '[419, 419, 14*w - 13]', '[419, 419, -14*w - 13]', '[421, 421, -6*w - 23]', '[421, 421, 6*w - 23]', '[423, 141, -12*w - 3]', '[423, 141, 12*w - 3]', '[426, 426, -17*w + 21]', '[426, 426, 13*w - 9]', '[428, 214, -12*w - 2]', '[428, 214, 12*w - 2]', '[429, 429, -7*w - 24]', '[429, 429, -2*w + 21]', '[429, 429, -2*w - 21]', '[429, 429, -7*w + 24]', '[431, 431, -12*w - 1]', '[431, 431, 12*w - 1]', '[432, 36, 12*w]', '[433, 433, -9*w - 26]', '[433, 433, 9*w - 26]', '[436, 218, 4*w - 22]', '[436, 218, -4*w - 22]', '[438, 438, -19*w + 39]', '[438, 438, -w + 21]', '[441, 21, -21]', '[443, 443, -13*w - 8]', '[443, 443, 13*w - 8]', '[444, 222, -14*w + 12]', '[444, 222, -14*w - 12]', '[450, 30, -15*w + 15]', '[454, 454, -5*w + 23]', '[454, 454, 13*w - 31]', '[457, 457, 3*w - 22]', '[457, 457, -3*w - 22]', '[458, 458, 19*w - 25]', '[458, 458, 13*w - 7]', '[467, 467, 14*w - 11]', '[467, 467, -14*w - 11]', '[468, 78, 6*w + 24]', '[468, 78, -6*w + 24]', '[471, 471, -13*w + 6]', '[471, 471, -13*w - 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91]', '[7309, 7309, -18*w - 91]', '[7321, 7321, 5*w - 86]', '[7321, 7321, -5*w - 86]', '[7331, 7331, 50*w - 13]', '[7331, 7331, -50*w - 13]', '[7333, 7333, 14*w - 89]', '[7333, 7333, -14*w - 89]', '[7369, 7369, -3*w - 86]', '[7369, 7369, 3*w - 86]', '[7393, 7393, -w - 86]', '[7393, 7393, w - 86]', '[7417, 7417, 27*w - 98]', '[7417, 7417, -27*w - 98]', '[7451, 7451, 50*w - 7]', '[7451, 7451, -50*w - 7]', '[7477, 7477, 29*w - 100]', '[7477, 7477, -29*w - 100]', '[7487, 7487, -52*w - 25]', '[7487, 7487, 52*w - 25]', '[7489, 7489, 12*w - 89]', '[7489, 7489, -12*w - 89]', '[7499, 7499, -50*w - 1]', '[7499, 7499, 50*w - 1]', '[7523, 7523, -54*w - 35]', '[7523, 7523, 54*w - 35]', '[7537, 7537, -32*w - 103]', '[7537, 7537, 32*w - 103]', '[7547, 7547, -51*w - 16]', '[7547, 7547, 51*w - 16]', '[7549, 7549, -33*w - 104]', '[7549, 7549, 33*w - 104]', '[7559, 7559, 56*w - 43]', '[7559, 7559, -56*w - 43]', '[7561, 7561, -36*w - 107]', '[7561, 7561, 36*w - 107]', '[7573, 7573, -22*w - 95]', '[7573, 7573, 22*w - 95]', '[7583, 7583, 52*w - 23]', '[7583, 7583, -52*w - 23]', '[7607, 7607, -51*w - 14]', '[7607, 7607, 51*w - 14]', '[7621, 7621, -10*w - 89]', '[7621, 7621, 10*w - 89]', '[7643, 7643, 53*w - 28]', '[7643, 7643, -53*w - 28]', '[7669, 7669, 5*w - 88]', '[7669, 7669, -5*w - 88]', '[7681, 7681, 24*w - 97]', '[7681, 7681, -24*w - 97]', '[7691, 7691, 58*w - 49]', '[7691, 7691, -58*w - 49]', '[7703, 7703, 51*w - 10]', '[7703, 7703, -51*w - 10]', '[7717, 7717, 3*w - 88]', '[7717, 7717, -3*w - 88]', '[7727, 7727, 56*w - 41]', '[7727, 7727, -56*w - 41]', '[7741, 7741, -w - 88]', '[7741, 7741, w - 88]', '[7753, 7753, -19*w - 94]', '[7753, 7753, 19*w - 94]', '[7789, 7789, -15*w - 92]', '[7789, 7789, 15*w - 92]', '[7823, 7823, 52*w - 17]', '[7823, 7823, -52*w - 17]', '[7873, 7873, 4*w - 89]', '[7873, 7873, -4*w - 89]', '[7883, 7883, -58*w - 47]', '[7883, 7883, 58*w - 47]', '[7907, 7907, 54*w - 29]', '[7907, 7907, -54*w - 29]', '[7919, 7919, 55*w - 34]', '[7919, 7919, -55*w - 34]', '[7921, 89, -89]', '[7933, 7933, -31*w - 104]', '[7933, 7933, 31*w - 104]', '[7993, 7993, 36*w - 109]', '[7993, 7993, -36*w - 109]', '[8017, 8017, 23*w - 98]', '[8017, 8017, -23*w - 98]', '[8039, 8039, 56*w - 37]', '[8039, 8039, -56*w - 37]', '[8053, 8053, -18*w - 95]', '[8053, 8053, 18*w - 95]', '[8087, 8087, -52*w - 5]', '[8087, 8087, 52*w - 5]', '[8089, 8089, 8*w - 91]', '[8089, 8089, -8*w - 91]', '[8101, 8101, 11*w - 92]', '[8101, 8101, -11*w - 92]', '[8111, 8111, -52*w - 1]', '[8111, 8111, 52*w - 1]', '[8123, 8123, -54*w - 25]', '[8123, 8123, 54*w - 25]', '[8147, 8147, -57*w - 40]', '[8147, 8147, 57*w - 40]', '[8161, 8161, 15*w - 94]', '[8161, 8161, -15*w - 94]', '[8171, 8171, -53*w - 16]', '[8171, 8171, 53*w - 16]', '[8209, 8209, -20*w - 97]', '[8209, 8209, 20*w - 97]', '[8219, 8219, 54*w - 23]', '[8219, 8219, -54*w - 23]', '[8221, 8221, -9*w - 92]', '[8221, 8221, 9*w - 92]', '[8231, 8231, -53*w - 14]', '[8231, 8231, 53*w - 14]', '[8233, 8233, -4*w - 91]', '[8233, 8233, 4*w - 91]', '[8243, 8243, -58*w - 43]', '[8243, 8243, 58*w - 43]', '[8269, 8269, 2*w - 91]', '[8269, 8269, -2*w - 91]', '[8291, 8291, -55*w - 28]', '[8291, 8291, 55*w - 28]', '[8293, 8293, 29*w - 104]', '[8293, 8293, -29*w - 104]', '[8317, 8317, 7*w - 92]', '[8317, 8317, -7*w - 92]', '[8329, 8329, -13*w - 94]', '[8329, 8329, 13*w - 94]', '[8353, 8353, 31*w - 106]', '[8353, 8353, -31*w - 106]', '[8363, 8363, -53*w - 8]', '[8363, 8363, 53*w - 8]', '[8377, 8377, 32*w - 107]', '[8377, 8377, -32*w - 107]', '[8387, 8387, 54*w - 19]', '[8387, 8387, -54*w - 19]', '[8389, 8389, -5*w - 92]', '[8389, 8389, 5*w - 92]', '[8423, 8423, 53*w - 2]', '[8423, 8423, -53*w - 2]', '[8447, 8447, 56*w - 31]', '[8447, 8447, -56*w - 31]', '[8461, 8461, -w - 92]', '[8461, 8461, w - 92]', '[8521, 8521, -19*w - 98]', '[8521, 8521, 19*w - 98]', '[8543, 8543, -63*w - 58]', '[8543, 8543, 63*w - 58]', '[8581, 8581, -26*w - 103]', '[8581, 8581, 26*w - 103]', '[8627, 8627, -54*w - 11]', '[8627, 8627, 54*w - 11]', '[8629, 8629, -27*w - 104]', '[8629, 8629, 27*w - 104]', '[8641, 8641, 16*w - 97]', '[8641, 8641, -16*w - 97]', '[8663, 8663, -61*w - 50]', '[8663, 8663, 61*w - 50]', '[8677, 8677, 21*w - 100]', '[8677, 8677, -21*w - 100]', '[8689, 8689, -7*w - 94]', '[8689, 8689, 7*w - 94]', '[8699, 8699, 54*w - 7]', '[8699, 8699, -54*w - 7]', '[8713, 8713, -29*w - 106]', '[8713, 8713, 29*w - 106]', '[8737, 8737, 17*w - 98]', '[8737, 8737, -17*w - 98]', '[8747, 8747, -54*w - 1]', '[8747, 8747, 54*w - 1]', '[8761, 8761, -5*w - 94]', '[8761, 8761, 5*w - 94]', '[8783, 8783, -56*w - 25]', '[8783, 8783, 56*w - 25]', '[8807, 8807, 64*w - 59]', '[8807, 8807, -64*w - 59]', '[8819, 8819, 55*w - 16]', '[8819, 8819, -55*w - 16]', '[8821, 8821, -14*w - 97]', '[8821, 8821, 14*w - 97]', '[8831, 8831, 65*w - 62]', '[8831, 8831, -65*w - 62]', '[8867, 8867, -58*w - 35]', '[8867, 8867, 58*w - 35]', '[8893, 8893, 38*w - 115]', '[8893, 8893, -38*w - 115]', '[8929, 8929, 15*w - 98]', '[8929, 8929, -15*w - 98]', '[8941, 8941, -25*w - 104]', '[8941, 8941, 25*w - 104]', '[8951, 8951, -60*w - 43]', '[8951, 8951, 60*w - 43]', '[8963, 8963, 57*w - 28]', '[8963, 8963, -57*w - 28]', '[8999, 8999, -59*w - 38]', '[8999, 8999, 59*w - 38]', '[9001, 9001, 20*w - 101]', '[9001, 9001, -20*w - 101]', '[9011, 9011, -55*w - 8]', '[9011, 9011, 55*w - 8]', '[9013, 9013, 2*w - 95]', '[9013, 9013, -2*w - 95]', '[9049, 9049, 27*w - 106]', '[9049, 9049, -27*w - 106]', '[9059, 9059, -55*w - 4]', '[9059, 9059, 55*w - 4]', '[9109, 9109, 10*w - 97]', '[9109, 9109, -10*w - 97]', '[9133, 9133, 17*w - 100]', '[9133, 9133, -17*w - 100]', '[9157, 9157, 22*w - 103]', '[9157, 9157, -22*w - 103]', '[9181, 9181, -30*w - 109]', '[9181, 9181, 30*w - 109]', '[9203, 9203, 63*w - 52]', '[9203, 9203, -63*w - 52]', '[9227, 9227, 61*w - 44]', '[9227, 9227, -61*w - 44]', '[9239, 9239, -56*w - 13]', '[9239, 9239, 56*w - 13]', '[9241, 9241, -11*w - 98]', '[9241, 9241, 11*w - 98]', '[9277, 9277, -33*w - 112]', '[9277, 9277, 33*w - 112]', '[9311, 9311, 65*w - 58]', '[9311, 9311, -65*w - 58]', '[9323, 9323, 62*w - 47]', '[9323, 9323, -62*w - 47]', '[9337, 9337, -36*w - 115]', '[9337, 9337, 36*w - 115]', '[9349, 9349, 37*w - 116]', '[9349, 9349, -37*w - 116]', '[9371, 9371, -67*w - 64]', '[9371, 9371, 67*w - 64]', '[9397, 9397, 2*w - 97]', '[9397, 9397, -2*w - 97]', '[9419, 9419, -59*w - 32]', '[9419, 9419, 59*w - 32]', '[9421, 9421, 26*w - 107]', '[9421, 9421, -26*w - 107]', '[9431, 9431, -60*w - 37]', '[9431, 9431, 60*w - 37]', '[9433, 9433, -16*w - 101]', '[9433, 9433, 16*w - 101]', '[9467, 9467, -58*w - 25]', '[9467, 9467, 58*w - 25]', '[9479, 9479, -64*w - 53]', '[9479, 9479, 64*w - 53]', '[9491, 9491, -57*w - 16]', '[9491, 9491, 57*w - 16]', '[9539, 9539, 65*w - 56]', '[9539, 9539, -65*w - 56]', '[9551, 9551, 57*w - 14]', '[9551, 9551, -57*w - 14]', '[9587, 9587, 66*w - 59]', '[9587, 9587, -66*w - 59]', '[9601, 9601, -w - 98]', '[9601, 9601, w - 98]', '[9613, 9613, 14*w - 101]', '[9613, 9613, -14*w - 101]', '[9623, 9623, 67*w - 62]', '[9623, 9623, -67*w - 62]', '[9649, 9649, 23*w - 106]', '[9649, 9649, -23*w - 106]', '[9661, 9661, -31*w - 112]', '[9661, 9661, 31*w - 112]', '[9697, 9697, -32*w - 113]', '[9697, 9697, 32*w - 113]', '[9719, 9719, 61*w - 38]', '[9719, 9719, -61*w - 38]', '[9721, 9721, 24*w - 107]', '[9721, 9721, -24*w - 107]', '[9733, 9733, -19*w - 104]', '[9733, 9733, 19*w - 104]', '[9743, 9743, 57*w - 2]', '[9743, 9743, -57*w - 2]', '[9767, 9767, -59*w - 26]', '[9767, 9767, 59*w - 26]', '[9769, 9769, 12*w - 101]', '[9769, 9769, -12*w - 101]', '[9781, 9781, 35*w - 116]', '[9781, 9781, -35*w - 116]', '[9791, 9791, 63*w - 46]', '[9791, 9791, -63*w - 46]', '[9803, 9803, 58*w - 17]', '[9803, 9803, -58*w - 17]', '[9817, 9817, 37*w - 118]', '[9817, 9817, -37*w - 118]', '[9829, 9829, -38*w - 119]', '[9829, 9829, 38*w - 119]', '[9839, 9839, 60*w - 31]', '[9839, 9839, -60*w - 31]', '[9851, 9851, 62*w - 41]', '[9851, 9851, -62*w - 41]', '[9887, 9887, -64*w - 49]', '[9887, 9887, 64*w - 49]', '[9901, 9901, 10*w - 101]', '[9901, 9901, -10*w - 101]', '[9923, 9923, -58*w - 13]', '[9923, 9923, 58*w - 13]', '[9949, 9949, -17*w - 104]', '[9949, 9949, 17*w - 104]', '[9973, 9973, 3*w - 100]', '[9973, 9973, -3*w - 100]']}
• 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[]
  maximal_cm_subfield	numeric[]
  maxp	numeric
  minimal_sibling	numeric[]
  monogenic	smallint
  narrow_class_group	bigint[]
  narrow_class_number	bigint
  num_ram	smallint
  r2	smallint
  ramps	numeric[]
  rd	double precision
  regulator	numeric
  relative_class_number	numeric
  subfield_mults	integer[]
  subfields	text[]
  torsion_order	smallint
  unit_signature_rank	smallint
  used_grh	boolean

  
  {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-3, 0, 1], 'conductor': 12, 'degree': 2, 'disc_abs': 12, 'disc_rad': 6, 'disc_sign': 1, 'gal_is_abelian': True, 'gal_is_cyclic': True, 'gal_is_solvable': True, 'galois_disc_exponents': [2, 1], 'galois_label': '2T1', 'galt': 1, 'grd': 3.4641016151377544, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '2.2.12.1', 'local_algs': ['2.1.2.2a1.2', '3.1.2.1a1.2'], 'maxp': 3, 'monogenic': 1, 'narrow_class_group': [2], 'narrow_class_number': 2, 'num_ram': 2, 'r2': 0, 'ramps': [2, 3], 'rd': 3.46410161514, 'regulator': {'__RealLiteral__': 0, 'data': '1.31695789692', 'prec': 44}, 'subfield_mults': [], 'subfields': [], 'torsion_order': 2, 'unit_signature_rank': 1, 'used_grh': False}