Database - hmf_fields

Formats: - HTML - YAML - JSON - 2026-10-23T22:39:28.393278

Query: /api/hmf_fields/?_offset=0

Table hmf_fields

Information on base fields for Hilbert modular forms

Column	Type	Example
degree	smallint	2
discriminant	bigint	493
ideals	jsonb	['[1, 1, 1]', '[3, 3, w]', '[3, 3, w + 2]', '[4, 2, 2]', '[9, 3, 3]', '[9, 9, w + 11]', '[9, 9, -w +...
label	text	'2.2.493.1'
narrow_class_no	smallint	2
primes	jsonb	['[3, 3, w]', '[3, 3, w + 2]', '[4, 2, 2]', '[11, 11, w + 1]', '[11, 11, w + 9]', '[13, 13, w - 11]'...

{'degree': 3, 'discriminant': 1129, 'id': 31, 'ideals': ['[1, 1, 1]', '[3, 3, w]', '[3, 3, w + 1]', '[3, 3, w + 2]', '[8, 2, 2]', '[9, 3, -w^2 + 2*w + 3]', '[9, 3, -w^2 + w + 6]', '[9, 3, w^2 - 7]', '[9, 9, w + 3]', '[9, 9, w - 2]', '[9, 9, w - 1]', '[11, 11, -w^2 + 5]', '[13, 13, w^2 - w - 7]', '[17, 17, -w^2 + w + 4]', '[19, 19, -w^2 - w + 4]', '[24, 6, 2*w]', '[24, 6, 2*w + 2]', '[24, 6, 2*w + 4]', '[27, 3, 3]', '[27, 9, 2*w^2 - w - 12]', '[27, 9, w^2 - w - 3]', '[27, 9, w^2 - 2*w]', '[27, 9, w^2 - 4]', '[27, 9, -w^2 + w + 9]', '[27, 9, w^2 - 1]', '[27, 27, w^2 - w - 2]', '[27, 27, w^2 + w - 2]', '[27, 27, -w^2 + 9]', '[29, 29, 2*w^2 - 2*w - 11]', '[31, 31, w^2 - 2*w - 4]', '[33, 33, -w^2 - 2*w + 2]', '[33, 33, -2*w - 3]', '[33, 33, w - 4]', '[37, 37, -2*w^2 + 3*w + 7]', '[39, 39, -w - 4]', '[39, 39, -w^2 - w - 1]', '[39, 39, -w^2 + 3]', '[41, 41, w^2 - 2]', '[51, 51, -w^2 - w + 5]', '[51, 51, -2*w + 1]', '[51, 51, w^2 - 3*w - 3]', '[57, 57, 3*w^2 - 2*w - 20]', '[57, 57, w^2 - 2*w - 5]', '[57, 57, -2*w^2 + 15]', '[59, 59, 2*w^2 - 13]', '[61, 61, w^2 + w - 10]', '[64, 4, 4]', '[67, 67, 2*w^2 - w - 11]', '[72, 6, -2*w^2 + 4*w + 6]', '[72, 6, -2*w^2 + 2*w + 12]', '[72, 6, 2*w^2 - 14]', '[72, 18, 2*w + 6]', '[72, 18, 2*w - 4]', '[72, 18, 2*w - 2]', '[73, 73, -w^2 - 1]', '[81, 9, 3*w]', '[81, 9, w^2 - 3*w + 2]', '[81, 9, w^2 + w - 6]', '[81, 9, w^2 + 2*w - 3]', '[81, 9, 3*w + 3]', '[81, 9, 3*w + 6]', '[81, 27, -w^2 + 2*w + 6]', '[81, 27, -2*w^2 + 2*w + 15]', '[81, 27, w^2 + 3*w - 1]', '[81, 27, -w^2 + 2*w + 9]', '[81, 27, 2*w^2 - 2*w - 9]', '[81, 27, -w^2 + 10]', '[81, 81, 2*w - 3]', '[81, 81, 2*w^2 + w - 10]', '[81, 81, w^2 - 2*w + 1]', '[83, 83, w^2 - w - 10]', '[87, 87, -2*w^2 + 3*w + 6]', '[87, 87, 2*w^2 - w - 16]', '[87, 87, w - 5]', '[88, 22, -2*w^2 + 10]', '[89, 89, -w^2 + 4*w - 2]', '[93, 93, -w - 5]', '[93, 93, -2*w^2 + 3*w + 3]', '[93, 93, -w^2 + w - 1]', '[97, 97, w^2 - 2*w - 7]', '[97, 97, -w^2 - 4*w - 5]', '[97, 97, 2*w^2 + w - 8]', '[99, 33, w^2 - 4*w]', '[99, 33, w^2 - 3*w - 4]', '[99, 33, -w^2 - w + 9]', '[99, 99, 2*w^2 - 2*w - 13]', '[99, 99, w^2 - 2*w - 8]', '[99, 99, 2*w^2 - 3*w - 9]', '[101, 101, -4*w^2 + 2*w + 25]', '[103, 103, w^2 + w - 7]', '[104, 26, 2*w^2 - 2*w - 14]', '[107, 107, -3*w - 4]', '[109, 109, 5*w^2 - 3*w - 31]', '[111, 111, -w^2 + 4*w - 1]', '[111, 111, w^2 + w - 8]', '[111, 111, -5*w^2 + 3*w + 33]', '[117, 39, -2*w^2 + 5*w]', '[117, 39, -2*w^2 + 3*w + 5]', '[117, 39, -w^2 - 4*w]', '[117, 117, -2*w^2 + w + 10]', '[117, 117, -4*w - 3]', '[117, 117, -3*w^2 + 2*w + 17]', '[121, 11, 2*w^2 - 3*w - 4]', '[121, 121, w^2 + w + 2]', '[123, 123, 2*w^2 + 5*w - 1]', '[123, 123, w^2 + 5*w + 1]', '[123, 123, 5*w + 3]', '[125, 5, -5]', '[136, 34, -2*w^2 + 2*w + 8]', '[137, 137, -5*w^2 + 3*w + 34]', '[139, 139, w^2 + 2*w - 4]', '[143, 143, 3*w - 1]', '[151, 151, 3*w^2 - 23]', '[151, 151, w^2 - 3*w - 5]', '[151, 151, 3*w^2 - 3*w - 17]', '[152, 38, -2*w^2 - 2*w + 8]', '[153, 51, -w^2 - 2*w - 3]', '[153, 51, w^2 - 2*w - 12]', '[153, 51, -2*w^2 - 3*w + 2]', '[153, 153, 2*w^2 - 4*w - 7]', '[153, 153, -2*w^2 - w + 1]', '[153, 153, -2*w^2 + 9]', '[157, 157, 4*w^2 - 9*w - 8]', '[157, 157, w^2 + 3*w - 2]', '[157, 157, 2*w^2 - w - 2]', '[167, 167, 2*w^2 + w - 11]', '[167, 167, -w^2 + 11]', '[167, 167, -3*w^2 + 19]', '[169, 13, w^2 - 4*w - 4]', '[169, 169, w^2 - 2*w + 2]', '[171, 57, -w^2 - 2]', '[171, 57, -2*w^2 + 2*w + 3]', '[171, 57, -2*w^2 + w + 9]', '[171, 171, w^2 - w - 11]', '[171, 171, -2*w - 7]', '[171, 171, w - 6]', '[173, 173, 2*w^2 - 3*w - 10]', '[177, 177, w + 6]', '[177, 177, 4*w^2 + w - 20]', '[177, 177, 2*w^2 + w - 7]', '[179, 179, -3*w + 7]', '[183, 183, w^2 - 3*w + 3]', '[183, 183, 2*w^2 - 2*w - 7]', '[183, 183, 3*w^2 - w - 17]', '[187, 187, -2*w^2 + w + 17]', '[191, 191, -w^2 + 5*w - 5]', '[192, 12, 4*w]', '[192, 12, 4*w + 4]', '[192, 12, 4*w + 8]', '[193, 193, -w^2 + w - 2]', '[199, 199, 3*w - 2]', '[201, 201, -w^2 + 3*w + 6]', '[201, 201, w^2 + 2*w - 5]', '[201, 201, 3*w^2 + w - 16]', '[209, 209, 3*w^2 - 3*w - 14]', '[211, 211, w^2 - 3*w - 11]', '[216, 6, 6]', '[216, 18, 4*w^2 - 2*w - 24]', '[216, 18, 2*w^2 - 2*w - 6]', '[216, 18, 2*w^2 - 4*w]', '[216, 18, 2*w^2 - 8]', '[216, 18, -2*w^2 + 2*w + 18]', '[216, 18, 2*w^2 - 2]', '[216, 54, 2*w^2 - 2*w - 4]', '[216, 54, 2*w^2 + 2*w - 4]', '[216, 54, -2*w^2 + 18]', '[219, 219, -w^2 - 8*w - 4]', '[219, 219, -2*w^2 - 8*w - 5]', '[219, 219, -8*w - 3]', '[221, 221, 3*w^2 - 22]', '[223, 223, 3*w^2 - 20]', '[223, 223, w^2 - 5*w - 4]', '[223, 223, 2*w^2 - w - 8]', '[229, 229, 4*w^2 - 3*w - 26]', '[229, 229, 2*w^2 + w - 20]', '[229, 229, 2*w^2 - 2*w - 5]', '[232, 58, 4*w^2 - 4*w - 22]', '[239, 239, -6*w^2 + 3*w + 38]', '[241, 241, -w^2 + 4*w - 5]', '[243, 9, -3*w^2 + 6*w + 9]', '[243, 9, -3*w^2 + 3*w + 18]', '[243, 9, 3*w^2 - 21]', '[243, 27, w^2 + w + 3]', '[243, 27, w^2 + 2*w - 12]', '[243, 27, 3*w + 9]', '[243, 27, 2*w^2 + 2*w - 3]', '[243, 27, -2*w^2 + 6*w + 5]', '[243, 27, -2*w^2 + 5*w + 6]', '[243, 27, -w^2 + 3*w + 7]', '[243, 27, 3*w - 6]', '[243, 27, 3*w - 3]', '[243, 81, -2*w^2 + 3*w + 11]', '[243, 81, w^2 + 4*w + 6]', '[243, 81, 2*w^2 + w - 12]', '[243, 81, -2*w^2 + 3*w + 17]', '[243, 81, 2*w^2 + w - 6]', '[243, 81, 2*w^2 - w - 3]', '[243, 243, 2*w^2 - 3*w]', '[243, 243, 4*w + 5]', '[243, 243, -3*w^2 + 7*w + 7]', '[247, 247, 2*w^2 + w - 2]', '[248, 62, 2*w^2 - 4*w - 8]', '[249, 249, -4*w - 7]', '[249, 249, -w^2 - 3*w + 3]', '[249, 249, w^2 - 5*w - 17]', '[257, 257, -2*w^2 + 5*w - 1]', '[261, 87, w^2 - 5*w]', '[261, 87, w^2 - 3*w - 10]', '[261, 87, -w^2 - 2*w + 6]', '[261, 261, -4*w^2 + 5*w + 17]', '[261, 261, 4*w^2 - 3*w - 27]', '[261, 261, w^2 - 4*w - 5]', '[263, 263, -2*w^2 - w + 17]', '[264, 66, -2*w^2 - 4*w + 4]', '[264, 66, -4*w - 6]', '[264, 66, 2*w - 8]', '[267, 267, 2*w^2 - w - 7]', '[267, 267, 3*w^2 - 5*w - 5]', '[267, 267, -3*w^2 + w + 24]', '[269, 269, -w^2 - w + 13]', '[269, 269, 3*w - 4]', '[269, 269, -4*w^2 + w + 31]', '[271, 271, 2*w^2 - 7]', '[271, 271, 3*w - 5]', '[271, 271, w^2 - 3*w - 8]', '[279, 93, -4*w^2 + 11*w]', '[279, 93, -4*w^2 + 3*w + 22]', '[279, 93, w^2 + 2*w - 15]', '[279, 279, -3*w^2 + 5*w + 7]', '[279, 279, w^2 - 3*w - 9]', '[279, 279, -4*w^2 + 7*w + 11]', '[289, 17, 2*w^2 + w - 5]', '[289, 289, -3*w + 10]', '[291, 291, -2*w^2 + 3]', '[291, 291, -2*w^2 + w + 4]', '[291, 291, w^2 + 6*w + 6]', '[291, 291, -w^2 - 2*w - 4]', '[291, 291, w^2 - 12]', '[291, 291, 3*w^2 + 7*w - 2]', '[291, 291, -4*w - 11]', '[291, 291, -3*w^2 + w + 16]', '[291, 291, 5*w^2 + 8*w - 10]', '[296, 74, -4*w^2 + 6*w + 14]', '[297, 33, -3*w^2 + 15]', '[297, 99, -2*w^2 - 1]', '[297, 99, -2*w^2 + w + 6]', '[297, 99, w^2 - w - 12]', '[297, 99, -w^2 + 2*w - 3]', '[297, 99, -w^2 - 3*w - 5]', '[297, 99, -2*w^2 - w + 3]', '[297, 297, -w - 7]', '[297, 297, w^2 - 5*w + 4]', '[297, 297, -3*w^2 + 5*w + 6]', '[303, 303, -2*w^2 - w + 13]', '[303, 303, 2*w^2 - 3*w - 12]', '[303, 303, -4*w + 1]', '[307, 307, 2*w^2 - w - 5]', '[309, 309, w^2 + 3]', '[309, 309, 2*w^2 + w - 4]', '[309, 309, 3*w^2 + 2*w - 11]', '[311, 311, 3*w^2 - 3*w - 19]', '[311, 311, -7*w^2 + 13*w + 19]', '[311, 311, w^2 - 2*w - 13]', '[312, 78, -2*w - 8]', '[312, 78, -2*w^2 - 2*w - 2]', '[312, 78, -2*w^2 + 6]', '[313, 313, w^2 + 2*w - 7]', '[317, 317, -5*w^2 + w + 35]', '[319, 319, -3*w^2 + 9*w + 1]', '[321, 321, -3*w^2 - 7*w - 4]', '[321, 321, -3*w^2 - 4*w]', '[321, 321, -3*w^2 - 10*w - 8]', '[323, 323, -2*w^2 + 3*w + 16]', '[327, 327, 7*w^2 - 2*w - 47]', '[327, 327, -3*w^2 + 4*w + 15]', '[327, 327, 2*w^2 + w - 16]', '[328, 82, 2*w^2 - 4]', '[331, 331, -w^2 + 3*w - 4]', '[333, 111, w^2 - w + 3]', '[333, 111, 2*w^2 - 5]', '[333, 111, -2*w^2 + w + 18]', '[333, 333, 4*w^2 - w - 23]', '[333, 333, 3*w^2 + w - 13]', '[333, 333, 3*w^2 - 2*w - 15]', '[337, 337, 3*w^2 - 3*w - 13]', '[341, 341, 2*w^2 + w - 14]', '[343, 7, -7]', '[347, 347, 2*w^2 - 3*w - 13]', '[349, 349, 3*w^2 - 3*w - 20]', '[351, 39, 3*w^2 - 3*w - 21]', '[351, 117, w^2 - 6*w - 1]', '[351, 117, 2*w^2 - 4*w - 9]', '[351, 117, -w^2 - 3*w + 4]', '[351, 117, w^2 - 4*w - 6]', '[351, 117, w^2 - 5*w + 3]', '[351, 117, -2*w^2 - w + 15]', '[351, 351, 4*w^2 - 9*w - 9]', '[351, 351, -3*w^2 - 2*w + 14]', '[351, 351, -w^2 - 2*w + 8]', '[359, 359, -w^2 + 5*w - 2]', '[361, 19, -2*w^2 + 7*w - 1]', '[361, 361, w^2 + 2*w - 10]', '[363, 33, -2*w^2 + 3*w + 15]', '[363, 33, -w^2 + 7*w + 2]', '[363, 33, w^2 + 4*w - 2]', '[363, 363, 3*w^2 - 4*w - 10]', '[363, 363, 4*w^2 - 2*w - 23]', '[363, 363, 2*w^2 - 6*w + 3]', '[369, 123, -2*w^2 + 7*w]', '[369, 123, -2*w^2 + 3*w + 14]', '[369, 123, w^2 + 2*w - 9]', '[369, 369, -w^2 + 5*w + 5]', '[369, 369, -2*w^2 + 5*w + 7]', '[369, 369, 3*w^2 + 5*w - 3]', '[375, 15, -5*w]', '[375, 15, -5*w - 5]', '[375, 15, -5*w - 10]', '[377, 377, 5*w^2 - 13*w - 2]', '[389, 389, -2*w^2 + w - 1]', '[397, 397, w^2 - 6*w + 10]', '[401, 401, 6*w^2 - 3*w - 44]', '[403, 403, -2*w^2 + 19]', '[407, 407, 3*w^2 - 26]', '[408, 102, -2*w^2 - 2*w + 10]', '[408, 102, -4*w + 2]', '[408, 102, 2*w^2 - 6*w - 6]', '[411, 411, w^2 + w + 4]', '[411, 411, -2*w^2 + 2*w + 19]', '[411, 411, 3*w^2 - w - 15]', '[417, 417, 4*w^2 + 7*w - 5]', '[417, 417, 2*w^2 + 3*w + 3]', '[417, 417, 3*w^2 + 5*w - 1]', '[419, 419, -3*w^2 + 6*w + 10]', '[419, 419, 4*w^2 - 2*w - 31]', '[419, 419, -4*w^2 + 4*w + 19]', '[421, 421, 6*w^2 - 12*w - 13]', '[429, 429, -5*w^2 + 4*w + 31]', '[429, 429, -4*w^2 + 7*w + 14]', '[429, 429, -w^2 + 3*w + 15]', '[431, 431, 4*w^2 - 7*w - 10]', '[433, 433, w^2 - 4*w - 7]', '[443, 443, 2*w^2 + 4*w - 5]', '[443, 443, 5*w^2 - 11*w - 11]', '[443, 443, 3*w^2 - 14]', '[449, 449, -2*w^2 + 2*w - 1]', '[451, 451, -3*w - 10]', '[453, 453, 3*w^2 - 4*w - 5]', '[453, 453, -2*w^2 - w - 2]', '[453, 453, 3*w^2 - 2*w - 25]', '[453, 453, -2*w + 9]', '[453, 453, -w^2 - 4*w - 7]', '[453, 453, -3*w^2 + 4*w + 9]', '[453, 453, 3*w^2 - 2*w - 14]', '[453, 453, -3*w^2 + 2*w + 3]', '[453, 453, w - 8]', '[456, 114, 6*w^2 - 4*w - 40]', '[456, 114, 2*w^2 - 4*w - 10]', '[456, 114, -4*w^2 + 30]', '[457, 457, w^2 - 6*w - 5]', '[457, 457, w^2 + 3*w - 5]', '[457, 457, 6*w^2 - 3*w - 37]', '[459, 51, -3*w^2 + 3*w + 12]', '[459, 153, -2*w^2 + 3*w - 1]', '[459, 153, -5*w^2 + 2*w + 30]', '[459, 153, -w^2 - 7*w - 9]', '[459, 153, w^2 - 13]', '[459, 153, -2*w^2 - 5*w + 3]', '[459, 153, -w^2 + 4*w - 6]', '[459, 459, -w - 8]', '[459, 459, -5*w - 6]', '[459, 459, -2*w^2 + 5*w - 2]', '[463, 463, w^2 + 5*w - 1]', '[467, 467, w^2 - w - 13]', '[471, 471, -4*w^2 + 3*w + 21]', '[471, 471, 4*w^2 + 8*w + 1]', '[471, 471, -w^2 + 12*w + 6]', '[471, 471, -5*w^2 + 11*w + 4]', '[471, 471, 5*w^2 + 11*w - 1]', '[471, 471, w^2 + 11*w + 4]', '[471, 471, -w^2 + 2*w - 4]', '[471, 471, 3*w^2 + 5*w + 3]', '[471, 471, 3*w^2 + 10*w + 2]', '[472, 118, 4*w^2 - 26]', '[479, 479, 5*w^2 - 9*w - 16]', '[481, 481, -w^2 - 2*w - 5]', '[487, 487, -6*w - 5]', '[488, 122, 2*w^2 + 2*w - 20]', '[493, 493, w^2 + 4]', '[499, 499, 3*w^2 - 3*w - 4]', '[499, 499, 3*w^2 + 3*w - 1]', '[499, 499, w^2 - 5*w + 8]', '[501, 501, 5*w^2 + 5*w - 16]', '[501, 501, -w^2 + 8*w + 5]', '[501, 501, -3*w^2 - 2*w + 10]', '[501, 501, 3*w^2 + 4*w - 5]', '[501, 501, -w^2 + 4*w + 8]', '[501, 501, -2*w - 9]', '[501, 501, w^2 + 3*w + 6]', '[501, 501, 4*w - 3]', '[501, 501, -3*w^2 - 4*w + 1]', '[503, 503, 4*w^2 - 5*w - 16]', '[507, 39, -4*w^2 + 3*w + 3]', '[507, 39, -3*w^2 - w - 1]', '[507, 39, -2*w^2 - 5*w - 5]', '[507, 507, 3*w^2 + w - 18]', '[507, 507, -3*w^2 + 4*w + 25]', '[507, 507, 5*w + 7]', '[509, 509, 2*w^2 - 5*w - 8]', '[512, 8, 8]', '[513, 57, -3*w^2 - 3*w + 12]', '[513, 171, -4*w^2 + 6*w + 13]', '[513, 171, -w^2 - 4*w + 3]', '[513, 171, -5*w^2 + 3*w + 29]', '[513, 171, 2*w^2 + w - 21]', '[513, 171, w^2 - 4*w - 12]', '[513, 171, w^2 - 5*w - 6]', '[513, 513, -3*w^2 + 4*w + 8]', '[513, 513, w^2 - 6*w]', '[513, 513, -5*w - 8]', '[519, 519, -3*w^2 + 4*w + 6]', '[519, 519, w^2 - 2*w - 14]', '[519, 519, -w^2 + w - 4]', '[521, 521, 4*w^2 - w - 22]', '[523, 523, w^2 - 5*w - 16]', '[527, 527, -w^2 + 6*w - 7]', '[531, 177, -13*w^2 + 6*w + 91]', '[531, 177, 5*w^2 - 4*w - 27]', '[531, 177, 11*w^2 - 5*w - 72]', '[531, 531, -4*w^2 + w + 32]', '[531, 531, 6*w^2 + w - 33]', '[531, 531, -2*w^2 + w + 19]', '[533, 533, -2*w^2 - 2*w + 11]', '[536, 134, 4*w^2 - 2*w - 22]', '[537, 537, 7*w^2 - 3*w - 51]', '[537, 537, -3*w^2 + w + 14]', '[537, 537, -3*w^2 + 4*w + 7]', '[547, 547, 5*w^2 - 2*w - 38]', '[547, 547, 8*w^2 - 3*w - 58]', '[547, 547, 4*w^2 - 29]', '[549, 183, 8*w^2 - 13*w - 27]', '[549, 183, 10*w^2 - 7*w - 60]', '[549, 183, -10*w^2 + 3*w + 73]', '[549, 549, 4*w^2 - 27]', '[549, 549, -4*w + 13]', '[549, 549, -w^2 - 5*w + 23]', '[551, 551, 4*w^2 - 7*w - 7]', '[557, 557, 7*w^2 - 4*w - 43]', '[557, 557, 3*w - 11]', '[557, 557, 2*w^2 - 4*w - 11]', '[561, 561, 7*w + 5]', '[561, 561, w^2 + 3*w - 6]', '[561, 561, -w^2 + 4*w + 11]', '[569, 569, 5*w^2 - 4*w - 32]', '[569, 569, 3*w^2 - 3*w - 11]', '[569, 569, w^2 + 2*w - 16]', '[571, 571, w^2 - 4*w - 10]', '[573, 573, 3*w^2 - 2*w - 13]', '[573, 573, 4*w^2 - 7*w - 8]', '[573, 573, -6*w^2 + 2*w + 45]', '[576, 12, -4*w^2 + 8*w + 12]', '[576, 12, -4*w^2 + 4*w + 24]', '[576, 12, 4*w^2 - 28]', '[576, 36, 4*w + 12]', '[576, 36, 4*w - 8]', '[576, 36, 4*w - 4]', '[579, 579, -8*w - 5]', '[579, 579, -w^2 - 7*w - 7]', '[579, 579, w^2 - 9*w - 3]', '[584, 146, -2*w^2 - 2]', '[589, 589, 3*w^2 - 13]', '[593, 593, 2*w^2 - 6*w - 7]', '[597, 597, 3*w^2 - 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2*w + 27]', '[1947, 1947, 3*w^2 - 8*w - 38]', '[1947, 1947, -8*w^2 + w + 58]', '[1949, 1949, -w^2 + 8*w - 2]', '[1951, 1951, -6*w^2 + 9*w + 19]', '[1957, 1957, 3*w^2 - 6*w - 34]', '[1959, 1959, 4*w^2 - 15]', '[1959, 1959, 3*w^2 + 4*w + 5]', '[1959, 1959, -w^2 + 4*w + 20]', '[1963, 1963, -8*w^2 + 15*w + 19]', '[1963, 1963, -14*w^2 + 5*w + 101]', '[1963, 1963, -2*w^2 + w + 23]', '[1969, 1969, -7*w^2 + 6*w + 44]', '[1971, 219, -3*w^2 - 3]', '[1971, 657, -8*w^2 + 13*w + 6]', '[1971, 657, -4*w^2 - 3*w + 4]', '[1971, 657, -w^2 - 5*w - 12]', '[1971, 657, -7*w^2 - 3*w + 1]', '[1971, 657, -4*w^2 + 2*w + 15]', '[1971, 657, -5*w^2 + 5*w + 6]', '[1971, 1971, -w^2 + 3*w - 9]', '[1971, 1971, -6*w^2 + 5*w + 5]', '[1971, 1971, -6*w^2 - 11*w - 1]', '[1973, 1973, -3*w^2 + 12*w - 7]', '[1976, 494, 4*w^2 + 2*w - 4]', '[1979, 1979, 5*w^2 + w - 32]', '[1983, 1983, 3*w^2 + 5*w - 11]', '[1983, 1983, -3*w^2 + 11*w + 9]', '[1983, 1983, 8*w - 1]', '[1984, 124, 4*w^2 - 8*w - 16]', '[1987, 1987, -7*w^2 + 44]', '[1987, 1987, 3*w^2 - 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