-
hmf_forms • Show schema
{'deg': 5, 'dimension': 14, 'disc': 180769, 'field_bad_primes': [41, 4409], 'field_label': '5.5.180769.1', 'is_CM': 'no', 'is_base_change': 'no', 'label': '5.5.180769.1-25.3-e', 'label_nsuffix': 4, 'label_suffix': 'e', 'level_bad_primes': [5], 'level_ideal': '[25, 25, -w^4 + w^3 + 4*w^2 - 2*w + 1]', 'level_label': '25.3', 'level_norm': 25, 'parallel_weight': 2, 'short_label': '25.3-e', 'weight': '[2, 2, 2, 2, 2]'} -
hmf_hecke • Show schema
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268056370465/1490922144*e^4 + 164403789863/745461072*e^2 - 657172947/10353626', '-7651999/1490922144*e^12 + 100782229/372730536*e^10 - 1904469635/372730536*e^8 + 21602651947/496974048*e^6 - 249772826465/1490922144*e^4 + 190007464471/745461072*e^2 - 948754191/10353626', '9327811/248487024*e^12 - 118301797/62121756*e^10 + 2126317523/62121756*e^8 - 22677633391/82829008*e^6 + 238424585453/248487024*e^4 - 146310131803/124243512*e^2 + 1331206141/5176813', '-232103975/8945532864*e^13 + 2927530217/2236383216*e^11 - 52258699243/2236383216*e^9 + 553933790195/2981844288*e^7 - 5811682460521/8945532864*e^5 + 3608908933607/4472766432*e^3 - 11697460057/62121756*e', '-4554365/745461072*e^12 + 56173943/186365268*e^10 - 973715113/186365268*e^8 + 9993867041/248487024*e^6 - 100476822595/745461072*e^4 + 54076178285/372730536*e^2 - 20940353/5176813', '604957/248487024*e^12 - 6259687/62121756*e^10 + 81833633/62121756*e^8 - 597052257/82829008*e^6 + 5417521283/248487024*e^4 - 6225058045/124243512*e^2 + 121635737/5176813', '102096407/8945532864*e^13 - 1293582329/2236383216*e^11 + 23177706475/2236383216*e^9 - 244998309539/2981844288*e^7 + 2510149330681/8945532864*e^5 - 1385205581111/4472766432*e^3 + 189961117/62121756*e', '3162187/186365268*e^12 - 39508438/46591317*e^10 + 694971128/46591317*e^8 - 7208629039/62121756*e^6 + 73155471245/186365268*e^4 - 43329600601/93182634*e^2 + 537468520/5176813', '477760909/17891065728*e^13 - 5986076659/4472766432*e^11 + 105584154281/4472766432*e^9 - 1094458300177/5963688576*e^7 + 10944194934947/17891065728*e^5 - 5885611659181/8945532864*e^3 + 3272744939/124243512*e', '143264069/8945532864*e^13 - 1808107655/2236383216*e^11 + 32392936321/2236383216*e^9 - 347599618985/2981844288*e^7 + 3780087915259/8945532864*e^5 - 2634799212749/4472766432*e^3 + 13075438841/62121756*e', '-7200833/993948096*e^13 + 29940841/82829008*e^11 - 1588774589/248487024*e^9 + 50893897919/993948096*e^7 - 188198459263/993948096*e^5 + 47221043203/165658016*e^3 - 6599867633/62121756*e', '-140439527/8945532864*e^13 + 1754015225/2236383216*e^11 - 30761099035/2236383216*e^9 + 315290030003/2981844288*e^7 - 3062134874665/8945532864*e^5 + 1450906747175/4472766432*e^3 + 2761368395/62121756*e', '-7817539/248487024*e^12 + 97970851/62121756*e^10 - 1731918923/62121756*e^8 + 18111898927/82829008*e^6 - 186680801525/248487024*e^4 + 114046726447/124243512*e^2 - 1071531918/5176813', '4584139/186365268*e^12 - 114848705/93182634*e^10 + 1016353778/46591317*e^8 - 10689243391/62121756*e^6 + 111572898167/186365268*e^4 - 34481376218/46591317*e^2 + 819627001/5176813', '-1596707/279547902*e^13 + 39720574/139773951*e^11 - 696030215/139773951*e^9 + 3619668347/93182634*e^7 - 37614077839/279547902*e^5 + 24503520377/139773951*e^3 - 795051425/15530439*e', '73862147/8945532864*e^13 - 947209733/2236383216*e^11 + 17430735415/2236383216*e^9 - 195522124415/2981844288*e^7 + 2298478664941/8945532864*e^5 - 1868711520947/4472766432*e^3 + 12896616737/62121756*e', '-245083261/17891065728*e^13 + 3103490563/4472766432*e^11 - 55896766361/4472766432*e^9 + 605002029505/5963688576*e^7 - 6689390386739/17891065728*e^5 + 4840251018013/8945532864*e^3 - 8733322025/41414504*e'], 'hecke_polynomial': 'x^14 - 52*x^12 + 980*x^10 - 8607*x^8 + 36791*x^6 - 72842*x^4 + 58464*x^2 - 10368', 'label': '5.5.180769.1-25.3-e'} -
hmf_fields • Show schema
{'degree': 5, 'discriminant': 180769, 'ideals': ['[1, 1, 1]', '[5, 5, w^4 - 2*w^3 - 4*w^2 + 6*w + 1]', '[5, 5, w^4 - w^3 - 5*w^2 + 3*w + 1]', '[7, 7, -w^4 + 2*w^3 + 4*w^2 - 6*w]', '[7, 7, w^4 - w^3 - 5*w^2 + 3*w + 3]', '[19, 19, -w^3 + w^2 + 4*w]', '[23, 23, -w^2 + 3]', '[25, 5, -w^3 + 4*w]', '[25, 25, w^4 - 2*w^3 - 3*w^2 + 6*w - 3]', '[25, 25, -w^4 + w^3 + 4*w^2 - 2*w + 1]', '[32, 2, 2]', '[35, 35, w^2 - w - 2]', '[35, 35, w^4 - 2*w^3 - 4*w^2 + 7*w + 2]', '[35, 35, -w^4 + 2*w^3 + 5*w^2 - 7*w - 2]', '[35, 35, w - 3]', '[37, 37, -w^4 + 2*w^3 + 3*w^2 - 7*w + 4]', '[41, 41, w^4 - w^3 - 5*w^2 + 2*w + 4]', '[43, 43, -w^4 + 2*w^3 + 4*w^2 - 5*w - 3]', '[43, 43, -w^2 + w + 3]', '[47, 47, 2*w^4 - 3*w^3 - 9*w^2 + 8*w + 3]', '[49, 7, w^3 - w^2 - 5*w + 4]', '[49, 49, w^4 - 2*w^3 - 5*w^2 + 6*w + 1]', '[49, 49, -2*w^4 + 3*w^3 + 9*w^2 - 9*w - 1]', '[61, 61, 2*w^4 - 3*w^3 - 9*w^2 + 10*w + 2]', '[79, 79, w^2 - w - 5]', '[79, 79, -w^3 + 2*w^2 + 3*w - 3]', '[79, 79, -2*w^4 + 4*w^3 + 7*w^2 - 14*w + 2]', '[95, 95, -w^4 + 2*w^3 + 4*w^2 - 7*w + 3]', '[95, 95, w^4 - 2*w^3 - 3*w^2 + 7*w - 1]', '[97, 97, w^3 - 6*w]', '[101, 101, -w^4 + 2*w^3 + 5*w^2 - 6*w - 4]', '[101, 101, 2*w^4 - 3*w^3 - 9*w^2 + 10*w + 1]', '[107, 107, 2*w^4 - 3*w^3 - 8*w^2 + 7*w + 2]', '[115, 115, 2*w^4 - 3*w^3 - 10*w^2 + 8*w + 5]', '[115, 115, 2*w^4 - 3*w^3 - 9*w^2 + 8*w + 2]', '[121, 11, w^4 - w^3 - 6*w^2 + 3*w + 4]', '[125, 5, 3*w^4 - 4*w^3 - 14*w^2 + 12*w + 3]', '[125, 25, w^4 - w^3 - 5*w^2 + 4*w + 4]', '[125, 25, w^4 - 2*w^3 - 4*w^2 + 8*w]', '[125, 125, -w^4 + w^3 + 5*w^2 - w - 3]', '[125, 125, -w^4 + 2*w^3 + 3*w^2 - 5*w + 3]', '[131, 131, w^2 - 5]', '[131, 131, w^4 - 6*w^2 - 3*w + 5]', '[131, 131, -2*w^4 + 3*w^3 + 9*w^2 - 10*w + 1]', '[133, 133, w^4 - 2*w^3 - 5*w^2 + 8*w + 1]', '[133, 133, -w^4 + w^3 + 5*w^2 - w - 4]', '[137, 137, -2*w^4 + 3*w^3 + 8*w^2 - 8*w]', '[137, 137, -2*w^4 + 3*w^3 + 8*w^2 - 9*w - 2]', '[137, 137, -2*w^4 + 3*w^3 + 9*w^2 - 7*w - 3]', '[139, 139, w^4 - 2*w^3 - 5*w^2 + 7*w]', '[149, 149, 2*w^4 - w^3 - 11*w^2 + 3]', '[149, 149, -2*w^4 + 3*w^3 + 8*w^2 - 9*w]', '[149, 149, 2*w^4 - 2*w^3 - 10*w^2 + 5*w + 6]', '[151, 151, -3*w^4 + 5*w^3 + 13*w^2 - 15*w - 3]', '[157, 157, -w^4 + 2*w^3 + 3*w^2 - 7*w + 5]', '[160, 10, 2*w^4 - 4*w^3 - 8*w^2 + 12*w + 2]', '[160, 10, 2*w^4 - 2*w^3 - 10*w^2 + 6*w + 2]', '[161, 161, w^4 - w^3 - 5*w^2 + 2*w - 1]', '[161, 161, 3*w^4 - 3*w^3 - 14*w^2 + 7*w + 1]', '[163, 163, -2*w^3 + 2*w^2 + 8*w - 5]', '[167, 167, w^4 - 6*w^2 - w + 3]', '[167, 167, -2*w^4 + 3*w^3 + 8*w^2 - 10*w + 2]', '[173, 173, -w^3 + w^2 + 6*w - 4]', '[173, 173, -w^3 + w^2 + 6*w - 2]', '[175, 35, -2*w^3 + 2*w^2 + 8*w - 3]', '[175, 35, -w^3 + 2*w^2 + 4*w - 3]', '[175, 175, 2*w^4 - 4*w^3 - 8*w^2 + 12*w + 3]', '[175, 175, -2*w^4 + 3*w^3 + 8*w^2 - 10*w + 1]', '[175, 175, -w^4 + 2*w^3 + 5*w^2 - 6*w]', '[175, 175, -w^4 + w^3 + 4*w^2 - 3*w + 2]', '[179, 179, w^3 - 2*w^2 - 4*w + 4]', '[181, 181, w^4 - 3*w^3 - 3*w^2 + 10*w - 2]', '[185, 185, 2*w^4 - 3*w^3 - 9*w^2 + 9*w]', '[185, 185, w^4 - w^3 - 6*w^2 + 2*w + 4]', '[199, 199, w^4 + w^3 - 7*w^2 - 6*w + 5]', '[199, 199, -w^4 + 7*w^2 - w - 3]', '[199, 199, -w^4 + 2*w^3 + 4*w^2 - 6*w + 3]', '[205, 205, 2*w^4 - 3*w^3 - 10*w^2 + 11*w + 6]', '[205, 205, w^4 - 2*w^3 - 5*w^2 + 9*w + 2]', '[211, 211, -w^4 - w^3 + 6*w^2 + 6*w - 3]', '[215, 215, -w^3 + 6*w - 1]', '[215, 215, 3*w^4 - 4*w^3 - 14*w^2 + 10*w + 6]', '[215, 215, -2*w^4 + 3*w^3 + 8*w^2 - 9*w - 1]', '[215, 215, w^4 - 5*w^2 - 2*w + 3]', '[223, 223, 3*w^4 - 5*w^3 - 12*w^2 + 15*w + 3]', '[223, 223, w^4 - 3*w^3 - 3*w^2 + 11*w]', '[224, 14, -2*w^4 + 4*w^3 + 8*w^2 - 12*w]', '[224, 14, 2*w^4 - 2*w^3 - 10*w^2 + 6*w + 6]', '[229, 229, 2*w^4 - 3*w^3 - 10*w^2 + 10*w + 3]', '[233, 233, -2*w^4 + 4*w^3 + 7*w^2 - 13*w + 1]', '[235, 235, -w^3 - w^2 + 7*w + 3]', '[235, 235, 4*w^4 - 6*w^3 - 18*w^2 + 17*w + 9]', '[239, 239, w^3 - 2*w^2 - 5*w + 2]', '[243, 3, -3]', '[245, 35, -w^2 + 2*w + 3]', '[245, 35, -2*w^4 + 3*w^3 + 10*w^2 - 8*w - 6]', '[245, 245, 2*w^4 - 4*w^3 - 9*w^2 + 14*w + 3]', '[245, 245, -w^4 + w^3 + 4*w^2 - 3]', '[245, 245, -3*w^4 + 4*w^3 + 13*w^2 - 10*w - 2]', '[245, 245, -2*w^4 + 3*w^3 + 8*w^2 - 8*w - 2]', '[251, 251, 2*w^4 - 3*w^3 - 8*w^2 + 8*w + 1]', '[259, 259, 3*w^4 - 4*w^3 - 14*w^2 + 11*w + 7]', '[259, 259, -2*w^4 + 3*w^3 + 10*w^2 - 11*w - 2]', '[263, 263, -w^4 + 5*w^2 - 3]', '[263, 263, 2*w^4 - 4*w^3 - 8*w^2 + 13*w + 3]', '[277, 277, w^3 - w^2 - 6*w + 1]', '[277, 277, -w^4 + w^3 + 6*w^2 - 4*w - 6]', '[283, 283, -2*w^4 + 4*w^3 + 7*w^2 - 11*w - 2]', '[287, 287, -w^4 + 7*w^2 - 3]', '[287, 287, -2*w^4 + 2*w^3 + 10*w^2 - 6*w - 5]', '[293, 293, -2*w^4 + 4*w^3 + 8*w^2 - 12*w + 1]', '[301, 301, 2*w^4 - 3*w^3 - 10*w^2 + 9*w + 3]', '[301, 301, -w^4 + w^3 + 4*w^2 - 4*w + 2]', '[301, 301, w^3 - 4*w - 3]', '[301, 301, -2*w^4 + 3*w^3 + 9*w^2 - 9*w + 1]', '[305, 305, w^4 - 2*w^3 - 4*w^2 + 6*w + 4]', '[305, 305, 3*w^4 - 4*w^3 - 16*w^2 + 13*w + 10]', '[311, 311, 3*w^4 - w^3 - 16*w^2 - 2*w + 5]', '[313, 313, -4*w^4 + 6*w^3 + 17*w^2 - 18*w + 1]', '[329, 329, -2*w^4 + 3*w^3 + 9*w^2 - 9*w - 6]', '[329, 329, 4*w^4 - 7*w^3 - 19*w^2 + 23*w + 9]', '[331, 331, 2*w^4 - 2*w^3 - 9*w^2 + 6*w + 1]', '[337, 337, 3*w^4 - 6*w^3 - 12*w^2 + 19*w - 1]', '[337, 337, 3*w^4 - 3*w^3 - 13*w^2 + 5*w - 1]', '[343, 7, -2*w^4 + 4*w^3 + 9*w^2 - 14*w - 1]', '[343, 49, -w^4 + 6*w^2 + w - 4]', '[343, 49, w^4 - 2*w^3 - 3*w^2 + 7*w]', '[343, 343, -3*w^4 + 5*w^3 + 12*w^2 - 16*w - 1]', '[343, 343, -2*w^3 + 2*w^2 + 9*w - 2]', '[349, 349, w^4 - w^3 - 3*w^2 - 3*w + 1]', '[353, 353, -w^4 + 3*w^3 + 3*w^2 - 10*w + 1]', '[361, 361, -2*w^4 + 3*w^3 + 10*w^2 - 12*w - 4]', '[367, 367, w - 4]', '[379, 379, w^3 - 2*w^2 - 3*w + 8]', '[379, 379, 2*w^4 - 2*w^3 - 11*w^2 + 6*w + 5]', '[379, 379, -w^4 + 3*w^3 + 4*w^2 - 11*w]', '[389, 389, 3*w^4 - 2*w^3 - 15*w^2 + 4]', '[395, 395, -3*w^4 + 4*w^3 + 13*w^2 - 13*w - 3]', '[395, 395, -5*w^4 + 6*w^3 + 23*w^2 - 15*w - 5]', '[395, 395, -5*w^4 + 9*w^3 + 22*w^2 - 30*w - 6]', '[395, 395, 5*w^4 - 8*w^3 - 22*w^2 + 25*w + 7]', '[395, 395, -2*w^4 + 4*w^3 + 9*w^2 - 15*w - 2]', '[395, 395, -w^4 + 6*w^2 + w - 5]', '[397, 397, 2*w^4 - w^3 - 10*w^2 + w]', '[409, 409, 2*w^4 - 4*w^3 - 9*w^2 + 14*w + 2]', '[409, 409, 3*w^4 - 2*w^3 - 16*w^2 + 3*w + 4]', '[427, 427, -w^4 + w^3 + 7*w^2 - 3*w - 8]', '[427, 427, 5*w^4 - 8*w^3 - 22*w^2 + 26*w + 8]', '[431, 431, -w^4 + w^3 + 7*w^2 - 5*w - 7]', '[433, 433, -w^3 + 2*w^2 + 2*w - 5]', '[433, 433, -w^4 + 2*w^3 + 3*w^2 - 5*w + 4]', '[437, 437, 2*w^4 - 3*w^3 - 9*w^2 + 11*w]', '[439, 439, w^4 + w^3 - 6*w^2 - 5*w + 4]', '[439, 439, -3*w^4 + 5*w^3 + 12*w^2 - 17*w - 2]', '[439, 439, -2*w^4 + 4*w^3 + 9*w^2 - 12*w]', '[443, 443, w^4 - w^3 - 5*w^2 + 3*w - 2]', '[457, 457, -w^4 + 6*w^2 + w + 1]', '[457, 457, -2*w^4 + 4*w^3 + 8*w^2 - 15*w + 1]', '[461, 461, 3*w^4 - 5*w^3 - 13*w^2 + 17*w + 6]', '[461, 461, 2*w^3 - w^2 - 8*w - 2]', '[461, 461, 3*w^4 - 3*w^3 - 13*w^2 + 7*w + 1]', '[463, 463, 3*w^4 - 6*w^3 - 13*w^2 + 19*w + 3]', '[467, 467, -w^4 + 4*w^3 + 2*w^2 - 15*w + 4]', '[475, 95, 3*w^4 - 5*w^3 - 12*w^2 + 15*w]', '[475, 475, 2*w^4 - 2*w^3 - 10*w^2 + 5*w + 7]', '[475, 475, w^3 + w^2 - 2*w - 3]', '[485, 485, -4*w^4 + 4*w^3 + 18*w^2 - 5*w - 5]', '[485, 485, -w^4 + w^3 + 7*w^2 - 6*w - 6]', '[487, 487, -w^4 + 2*w^3 + 6*w^2 - 9*w - 3]', '[487, 487, 3*w^4 - 3*w^3 - 16*w^2 + 8*w + 10]', '[487, 487, -w^4 + 7*w^2 + 3*w - 7]', '[491, 491, -w^4 + 3*w^3 + 3*w^2 - 9*w + 1]', '[505, 505, 2*w^4 - 2*w^3 - 12*w^2 + 7*w + 9]', '[505, 505, -w^3 + w^2 + 3*w + 3]', '[505, 505, -5*w^4 + 8*w^3 + 22*w^2 - 25*w - 9]', '[505, 505, -3*w^4 + 4*w^3 + 15*w^2 - 12*w - 5]', '[509, 509, 2*w^4 - w^3 - 11*w^2 + w + 5]', '[521, 521, w^4 - 2*w^3 - 2*w^2 + 6*w - 1]', '[521, 521, w^4 - 2*w^3 - 4*w^2 + 3*w + 3]', '[529, 23, w^4 - 2*w^3 - 6*w^2 + 10*w + 3]', '[529, 23, 3*w^4 - 2*w^3 - 16*w^2 + w + 4]', '[529, 529, -w^4 + 6*w^2 + 4*w - 4]', '[535, 535, -w^4 + w^3 + 2*w^2 + 4*w + 2]', '[535, 535, 3*w^4 - 5*w^3 - 12*w^2 + 11*w + 7]', '[541, 541, -w^4 + 2*w^3 + 4*w^2 - 9*w + 1]', '[553, 553, -5*w^4 + 6*w^3 + 25*w^2 - 17*w - 15]', '[553, 553, 5*w^4 - 9*w^3 - 21*w^2 + 29*w + 1]', '[553, 553, -2*w^3 + w^2 + 9*w - 3]', '[553, 553, w^2 + w - 5]', '[553, 553, -w^4 - w^3 + 7*w^2 + 8*w - 6]', '[553, 553, 3*w^4 - 5*w^3 - 13*w^2 + 16*w]', '[563, 563, 2*w^3 - w^2 - 8*w + 1]', '[569, 569, -2*w^4 + 3*w^3 + 11*w^2 - 11*w - 7]', '[571, 571, w^4 - w^3 - 7*w^2 + 4*w + 3]', '[571, 571, -w^4 + 3*w^3 + 4*w^2 - 11*w + 1]', '[575, 115, 3*w^4 - 4*w^3 - 14*w^2 + 11*w + 8]', '[575, 575, 3*w^4 - 5*w^3 - 12*w^2 + 14*w + 2]', '[575, 575, -w^4 + 2*w^3 + 3*w^2 - 9*w + 2]', '[587, 587, 3*w^4 - 5*w^3 - 11*w^2 + 14*w - 3]', '[587, 587, 3*w^4 - 6*w^3 - 12*w^2 + 19*w + 2]', '[587, 587, w^3 - 7*w]', '[593, 593, -3*w^4 + 2*w^3 + 15*w^2 - 3*w - 5]', '[605, 55, 4*w^4 - 6*w^3 - 19*w^2 + 21*w + 6]', '[605, 55, w^4 - 3*w^3 - 3*w^2 + 9*w + 2]', '[607, 607, 3*w^4 - 4*w^3 - 14*w^2 + 11*w + 9]', '[608, 38, -2*w^3 + 2*w^2 + 8*w]', '[613, 613, -w^3 + w^2 + 4*w - 6]', '[613, 613, -3*w^4 + 3*w^3 + 15*w^2 - 8*w - 8]', '[617, 617, -w^4 + w^3 + 4*w^2 - 4]', '[619, 619, -3*w^4 + 5*w^3 + 12*w^2 - 14*w + 1]', '[625, 5, -w^4 - w^3 + 6*w^2 + 6*w + 3]', '[625, 5, 4*w^4 - 5*w^3 - 21*w^2 + 16*w + 12]', '[625, 25, 3*w^4 - 4*w^3 - 13*w^2 + 11*w + 4]', '[625, 125, -w^4 + 3*w^3 + 2*w^2 - 12*w + 3]', '[625, 125, 2*w^4 - 2*w^3 - 9*w^2 + 3*w + 4]', '[625, 625, -w^4 + 2*w^3 + 6*w^2 - 7*w - 5]', '[625, 625, -3*w^4 + 5*w^3 + 12*w^2 - 14*w - 3]', '[631, 631, -w^3 + w^2 + 2*w - 4]', '[641, 641, 2*w^4 - 2*w^3 - 9*w^2 + 4*w + 4]', '[641, 641, -w^4 - w^3 + 6*w^2 + 7*w - 5]', '[643, 643, 2*w^4 - 5*w^3 - 8*w^2 + 17*w - 2]', '[643, 643, 2*w^4 - 2*w^3 - 10*w^2 + 7*w + 2]', '[647, 647, 3*w^4 - 3*w^3 - 15*w^2 + 6*w + 2]', '[653, 653, w^4 - 2*w^3 - 3*w^2 + 7*w + 1]', '[653, 653, 3*w^4 - 4*w^3 - 13*w^2 + 9*w + 2]', '[655, 655, -4*w^4 + 5*w^3 + 19*w^2 - 14*w - 4]', '[655, 655, 4*w^4 - 7*w^3 - 16*w^2 + 21*w + 1]', '[655, 655, -2*w^4 + 10*w^2 + 7*w - 2]', '[655, 655, 2*w^3 - 4*w^2 - 5*w + 7]', '[655, 655, -5*w^4 + 9*w^3 + 21*w^2 - 29*w - 5]', '[655, 655, -2*w^4 + w^3 + 11*w^2 - 3*w + 1]', '[661, 661, -4*w^4 + 7*w^3 + 18*w^2 - 22*w - 4]', '[665, 665, 2*w^3 - 2*w^2 - 7*w + 6]', '[665, 665, -2*w^4 + 5*w^3 + 6*w^2 - 18*w + 4]', '[665, 665, 2*w^4 - 3*w^3 - 8*w^2 + 10*w - 4]', '[665, 665, -w^4 + 2*w^3 + 6*w^2 - 9*w - 5]', '[673, 673, w^4 - 6*w^2 + 6]', '[673, 673, -3*w - 2]', '[673, 673, -2*w^4 + 2*w^3 + 11*w^2 - 7*w - 2]', '[677, 677, 3*w^4 - 5*w^3 - 12*w^2 + 15*w + 2]', '[679, 679, -4*w^4 + 6*w^3 + 18*w^2 - 17*w - 5]', '[679, 679, w^4 - 7*w^2 + 6]', '[683, 683, -2*w^4 + 3*w^3 + 10*w^2 - 12*w - 6]', '[685, 685, -w^4 + w^3 + 5*w^2 - 6]', '[685, 685, w^4 - 3*w^2 - 6*w - 2]', '[685, 685, w^4 - w^3 - 6*w^2 + 6*w + 4]', '[685, 685, 2*w^4 - 2*w^3 - 8*w^2 + w - 1]', '[685, 685, -4*w^4 + 6*w^3 + 17*w^2 - 16*w - 8]', '[685, 685, 3*w^4 - 5*w^3 - 14*w^2 + 13*w + 9]', '[691, 691, -2*w^4 + 3*w^3 + 11*w^2 - 10*w - 4]', '[695, 695, -w^3 + w^2 + w + 2]', '[695, 695, w^4 - 7*w^2 + 2*w + 6]', '[701, 701, w^2 - 2*w - 4]', '[703, 703, -2*w^4 + 2*w^3 + 8*w^2 - 3*w + 1]', '[707, 707, -w^3 + 3*w^2 + 3*w - 8]', '[707, 707, 4*w^4 - 7*w^3 - 17*w^2 + 23*w + 5]', '[707, 707, 4*w^4 - 6*w^3 - 17*w^2 + 19*w + 5]', '[707, 707, -5*w^4 + 8*w^3 + 25*w^2 - 24*w - 13]', '[709, 709, -w^3 - w^2 + 4*w + 5]', '[709, 709, 2*w^4 - 2*w^3 - 10*w^2 + 5*w + 8]', '[719, 719, 3*w^4 - 5*w^3 - 12*w^2 + 15*w + 1]', '[719, 719, 2*w^3 - 2*w^2 - 7*w + 2]', '[727, 727, 3*w^4 - 6*w^3 - 13*w^2 + 22*w + 2]', '[727, 727, w^4 + w^3 - 7*w^2 - 8*w + 3]', '[727, 727, -3*w^4 + 5*w^3 + 12*w^2 - 13*w - 2]', '[733, 733, 2*w^4 - 3*w^3 - 7*w^2 + 8*w + 1]', '[736, 46, -2*w^2 + 6]', '[745, 745, w^4 - w^3 - 4*w^2 - 2]', '[745, 745, w^4 + w^3 - 8*w^2 - 3*w + 4]', '[745, 745, -w^4 + w^3 + 6*w^2 - w - 7]', '[745, 745, 2*w^4 - 2*w^3 - 10*w^2 + 7*w + 1]', '[745, 745, w^4 - 3*w^3 - 4*w^2 + 13*w + 3]', '[745, 745, 6*w^4 - 10*w^3 - 27*w^2 + 31*w + 9]', '[749, 749, 3*w^4 - 5*w^3 - 14*w^2 + 18*w + 6]', '[749, 749, -w^4 + 2*w^3 + 4*w^2 - 4*w - 5]', '[755, 755, -5*w^4 + 7*w^3 + 24*w^2 - 20*w - 15]', '[755, 755, -w^4 + 2*w^3 + 6*w^2 - 9*w - 6]', '[761, 761, 3*w^4 - 4*w^3 - 13*w^2 + 12*w]', '[769, 769, -4*w^4 + 7*w^3 + 16*w^2 - 23*w + 2]', '[779, 779, w^3 - 2*w^2 - 6*w + 5]', '[785, 785, 3*w^4 - 4*w^3 - 14*w^2 + 12*w + 1]', '[785, 785, 4*w^4 - 8*w^3 - 15*w^2 + 26*w - 1]', '[787, 787, 2*w^4 - 5*w^3 - 7*w^2 + 17*w - 7]', '[800, 10, -2*w^3 + 8*w]', '[800, 50, 2*w^4 - 4*w^3 - 6*w^2 + 12*w - 6]', '[800, 50, -2*w^4 + 2*w^3 + 8*w^2 - 4*w + 2]', '[805, 805, w^4 - w^3 - 5*w^2 + 5*w - 3]', '[805, 805, w^4 - 7*w^2 - w + 5]', '[805, 805, -w^4 + 3*w^3 + 3*w^2 - 9*w]', '[805, 805, -w^4 + w^3 + 5*w^2 - 3*w - 6]', '[809, 809, -w^4 + 6*w^2 - 4]', '[815, 815, -3*w^4 + 6*w^3 + 12*w^2 - 20*w + 3]', '[815, 815, w^4 + w^3 - 7*w^2 - 7*w + 3]', '[817, 817, -2*w^4 + 3*w^3 + 8*w^2 - 7*w + 3]', '[817, 817, -2*w^4 + 4*w^3 + 8*w^2 - 15*w]', '[821, 821, w^3 - 5*w + 5]', '[821, 821, -2*w^4 + 3*w^3 + 11*w^2 - 11*w - 8]', '[827, 827, 2*w^4 - 2*w^3 - 10*w^2 + 3*w + 5]', '[827, 827, -2*w^4 + 3*w^3 + 7*w^2 - 7*w + 3]', '[827, 827, -2*w^4 + 3*w^3 + 9*w^2 - 12*w + 2]', '[829, 829, 4*w^4 - 7*w^3 - 17*w^2 + 24*w + 3]', '[829, 829, -w^4 + 2*w^3 + 6*w^2 - 9*w - 2]', '[829, 829, -3*w^4 + 3*w^3 + 15*w^2 - 8*w - 7]', '[835, 835, w^4 - 3*w^3 - w^2 + 10*w - 6]', '[835, 835, 2*w^4 - 12*w^2 - 3*w + 2]', '[835, 835, -2*w^4 + 3*w^3 + 10*w^2 - 11*w - 1]', '[835, 835, 2*w^4 - 2*w^3 - 10*w^2 + 5*w - 1]', '[839, 839, w^4 - w^3 - 3*w^2 - 4]', '[841, 29, -6*w^4 + 10*w^3 + 27*w^2 - 31*w - 8]', '[847, 77, -3*w^4 + 5*w^3 + 13*w^2 - 18*w - 2]', '[847, 77, 3*w^4 - 5*w^3 - 15*w^2 + 15*w + 10]', '[851, 851, w^4 - 2*w^3 - 5*w^2 + 6*w + 6]', '[853, 853, 4*w^4 - 6*w^3 - 19*w^2 + 19*w + 6]', '[853, 853, w^4 - w^3 - 3*w^2 + w - 6]', '[865, 865, -3*w^4 + 6*w^3 + 10*w^2 - 17*w + 2]', '[865, 865, w^4 - 4*w^2 - 6*w + 2]', '[865, 865, -w^4 + 2*w^3 + 2*w^2 - 5*w + 4]', '[865, 865, 3*w^4 - 2*w^3 - 14*w^2 + 4]', '[875, 35, -w^4 + w^3 + 7*w^2 - 4*w - 9]', '[875, 35, 5*w^4 - 9*w^3 - 22*w^2 + 30*w + 9]', '[875, 175, -w^4 + 2*w^3 + 3*w^2 - 8*w - 1]', '[875, 175, 2*w^4 - 3*w^3 - 7*w^2 + 7*w - 4]', '[875, 175, -w^4 + 2*w^3 + 4*w^2 - 8*w + 5]', '[875, 175, -w^4 + 3*w^3 + 4*w^2 - 12*w]', '[875, 875, -w^4 + 2*w^3 + 6*w^2 - 7*w - 6]', '[875, 875, w^4 - w^3 - 5*w^2 + 2*w - 2]', '[875, 875, 2*w^4 - 4*w^3 - 7*w^2 + 13*w]', '[875, 875, w^4 - 6*w^2 - 2*w + 7]', '[881, 881, -w^4 + 2*w^3 + 4*w^2 - 9*w]', '[883, 883, -w^4 + w^3 + 5*w^2 - 4]', '[883, 883, 4*w^4 - 7*w^3 - 16*w^2 + 20*w + 2]', '[887, 887, 2*w^4 - 5*w^3 - 6*w^2 + 15*w - 2]', '[893, 893, 5*w^4 - 6*w^3 - 23*w^2 + 13*w + 8]', '[895, 895, -2*w^3 + 2*w^2 + 7*w - 1]', '[895, 895, 3*w^4 - 5*w^3 - 13*w^2 + 18*w]', '[905, 905, -w^3 + w^2 + 5*w - 7]', '[905, 905, -w^4 + 7*w^2 + w - 4]', '[907, 907, 3*w^4 - 6*w^3 - 13*w^2 + 20*w]', '[911, 911, w^4 - 5*w^2 - 3*w + 4]', '[917, 917, -3*w^4 + 7*w^3 + 10*w^2 - 24*w + 4]', '[917, 917, 2*w^4 - 5*w^3 - 7*w^2 + 17*w - 1]', '[917, 917, -2*w^2 + w + 8]', '[917, 917, 5*w^4 - 9*w^3 - 20*w^2 + 29*w]', '[917, 917, 2*w^4 - 5*w^3 - 5*w^2 + 15*w - 8]', '[917, 917, -4*w^4 + 5*w^3 + 21*w^2 - 14*w - 14]', '[919, 919, 4*w^4 - 7*w^3 - 16*w^2 + 21*w + 3]', '[925, 185, w^4 - 7*w^2 + 7]', '[925, 925, -2*w^4 + w^3 + 10*w^2 - w + 1]', '[925, 925, 4*w^4 - 6*w^3 - 18*w^2 + 20*w + 5]', '[929, 929, w^4 - 7*w^2 - 3*w + 4]', '[931, 133, -2*w^4 + 3*w^3 + 11*w^2 - 10*w - 9]', '[931, 931, 2*w^4 - 2*w^3 - 11*w^2 + 5*w + 5]', '[931, 931, 4*w^4 - 7*w^3 - 18*w^2 + 21*w + 6]', '[937, 937, -2*w^4 + 2*w^3 + 9*w^2 - 7*w]', '[937, 937, w^4 - 3*w^3 - 5*w^2 + 13*w + 4]', '[943, 943, 2*w^4 - 4*w^3 - 9*w^2 + 11*w + 2]', '[947, 947, w^4 - 3*w^3 - w^2 + 11*w - 7]', '[953, 953, 3*w^4 - 4*w^3 - 12*w^2 + 11*w - 1]', '[959, 959, -2*w^4 + 4*w^3 + 8*w^2 - 15*w - 1]', '[959, 959, 5*w^4 - 7*w^3 - 22*w^2 + 24*w + 8]', '[959, 959, -3*w^4 + 6*w^3 + 15*w^2 - 20*w - 8]', '[959, 959, -w^4 + 2*w^3 + 3*w^2 - 8*w + 6]', '[959, 959, -w^4 + 2*w^3 + 6*w^2 - 4*w - 7]', '[959, 959, 2*w^4 - 3*w^3 - 8*w^2 + 9*w + 5]', '[973, 973, -2*w^3 + 2*w^2 + 5*w - 6]', '[973, 973, 2*w^4 - 5*w^3 - 9*w^2 + 15*w + 2]', '[977, 977, 2*w^4 - 2*w^3 - 11*w^2 + 6*w + 2]', '[983, 983, -2*w^4 + 3*w^3 + 8*w^2 - 11*w + 4]', '[983, 983, w^3 + w^2 - 3*w - 4]', '[989, 989, -3*w^4 + 4*w^3 + 15*w^2 - 14*w - 9]', '[989, 989, w^4 - 2*w^3 - 4*w^2 + 9*w + 1]', '[995, 995, -w^4 + 5*w^3 - w^2 - 17*w + 9]', '[995, 995, 3*w^4 - 5*w^3 - 13*w^2 + 17*w - 2]', '[995, 995, w^4 + 2*w^3 - 10*w^2 - 4*w + 1]', '[995, 995, 3*w^4 - 3*w^3 - 14*w^2 + 8*w + 1]', '[995, 995, -2*w^4 + 2*w^3 + 13*w^2 - 12*w - 3]', '[995, 995, 2*w^4 - 5*w^3 - 7*w^2 + 16*w - 2]', '[997, 997, -w^4 + 4*w^2 + 4*w - 1]', '[1009, 1009, 4*w^4 - 5*w^3 - 18*w^2 + 13*w + 5]', '[1019, 1019, 3*w^4 - 6*w^3 - 11*w^2 + 18*w - 4]', '[1019, 1019, 4*w^4 - 5*w^3 - 21*w^2 + 18*w + 10]', '[1024, 4, 4]', '[1025, 205, 3*w^4 - 5*w^3 - 14*w^2 + 15*w + 3]', '[1025, 1025, 2*w^3 - 2*w^2 - 9*w + 1]', '[1025, 1025, w^4 - 7*w^2 - 2*w + 6]', '[1031, 1031, -w^4 + 3*w^3 + 3*w^2 - 13*w + 3]', '[1031, 1031, -3*w^4 + 5*w^3 + 13*w^2 - 14*w]', '[1039, 1039, 4*w^4 - 7*w^3 - 16*w^2 + 22*w + 1]', '[1043, 1043, -3*w^4 + 5*w^3 + 12*w^2 - 18*w - 2]', '[1043, 1043, w^4 - 4*w^2 - 2*w + 3]', '[1043, 1043, -4*w^4 + 8*w^3 + 17*w^2 - 26*w - 3]', '[1043, 1043, -w^4 + 2*w^3 + 2*w^2 - 8*w + 7]', '[1043, 1043, w^3 - w^2 - 7*w + 2]', '[1043, 1043, 5*w^4 - 7*w^3 - 24*w^2 + 23*w + 15]', '[1049, 1049, -3*w^4 + 6*w^3 + 12*w^2 - 18*w - 5]', '[1051, 1051, 3*w^4 - 4*w^3 - 14*w^2 + 13*w + 3]', '[1051, 1051, 2*w^4 - 2*w^3 - 8*w^2 + 3*w - 2]', '[1055, 1055, 5*w^4 - 3*w^3 - 26*w^2 + w + 6]', '[1055, 1055, -w^4 + 2*w^3 + 4*w^2 - 6*w + 4]', '[1057, 1057, -7*w^4 + 12*w^3 + 32*w^2 - 39*w - 12]', '[1057, 1057, 2*w^4 - 2*w^3 - 11*w^2 + 5*w + 12]', '[1061, 1061, w^4 - w^3 - 4*w^2 + 4*w - 3]', '[1069, 1069, w^4 - w^3 - 4*w^2 + 2*w - 5]', '[1075, 215, -2*w^4 + 3*w^3 + 9*w^2 - 12*w - 4]', '[1075, 215, 2*w^4 - 4*w^3 - 8*w^2 + 11*w]', '[1075, 1075, w^3 - 8*w + 2]', '[1075, 1075, 3*w^4 - 3*w^3 - 16*w^2 + 8*w + 8]', '[1075, 1075, w^3 - w^2 - 7*w + 5]', '[1075, 1075, w^2 - 3*w - 3]', '[1081, 1081, 5*w^4 - 7*w^3 - 23*w^2 + 22*w + 8]', '[1097, 1097, 6*w^4 - 9*w^3 - 28*w^2 + 29*w + 9]', '[1097, 1097, -w^4 + w^3 + 7*w^2 - 3*w - 6]', '[1099, 1099, -5*w^4 + 10*w^3 + 18*w^2 - 33*w + 6]', '[1099, 1099, w^4 - 8*w^2 - 2*w + 11]', '[1103, 1103, -2*w^4 + 3*w^3 + 7*w^2 - 8*w + 5]', '[1103, 1103, 3*w^4 - 5*w^3 - 13*w^2 + 14*w + 3]', '[1103, 1103, -3*w^4 + 6*w^3 + 11*w^2 - 18*w + 3]', '[1109, 1109, -3*w^4 + 5*w^3 + 12*w^2 - 17*w + 3]', '[1115, 1115, 2*w^4 - 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w - 5]', '[1165, 1165, -w^4 + w^3 + 6*w^2 - 10]', '[1169, 1169, -w - 4]', '[1169, 1169, -3*w^4 + 6*w^3 + 9*w^2 - 20*w + 8]', '[1169, 1169, w^4 - 3*w^3 - 4*w^2 + 12*w - 2]', '[1169, 1169, -2*w^4 + 4*w^3 + 6*w^2 - 15*w + 3]', '[1171, 1171, w^4 - w^3 - 4*w^2 + 3*w - 5]', '[1175, 235, 4*w^4 - 4*w^3 - 19*w^2 + 11*w + 7]', '[1175, 1175, -3*w^4 + 4*w^3 + 14*w^2 - 13*w - 2]', '[1175, 1175, 4*w^4 - 4*w^3 - 19*w^2 + 10*w + 4]', '[1181, 1181, 4*w^4 - 4*w^3 - 21*w^2 + 8*w + 10]', '[1184, 74, -2*w^4 + 4*w^3 + 6*w^2 - 14*w + 8]', '[1187, 1187, 2*w^4 - w^3 - 12*w^2 + 2*w + 8]', '[1187, 1187, -w^4 + 3*w^3 + 4*w^2 - 12*w + 1]', '[1187, 1187, -3*w^4 + 4*w^3 + 14*w^2 - 9*w - 11]', '[1195, 1195, -w^4 + 4*w^3 + w^2 - 12*w + 4]', '[1195, 1195, w^4 - w^3 - 4*w^2 + 5*w - 3]', '[1211, 1211, 3*w^4 - 4*w^3 - 12*w^2 + 12*w]', '[1211, 1211, 3*w^4 - 7*w^3 - 9*w^2 + 23*w - 6]', '[1211, 1211, w^4 - 2*w^3 - 2*w^2 + 6*w - 6]', '[1211, 1211, w^4 - 3*w^3 - w^2 + 11*w - 6]', '[1213, 1213, -3*w^4 + 5*w^3 + 14*w^2 - 16*w - 3]', '[1215, 15, -3*w^4 + 6*w^3 + 12*w^2 - 18*w - 3]', '[1215, 15, -3*w^4 + 3*w^3 + 15*w^2 - 9*w - 3]', '[1217, 1217, -3*w^4 + 4*w^3 + 14*w^2 - 11*w - 1]', '[1223, 1223, -2*w^4 + 5*w^3 + 8*w^2 - 19*w - 1]', '[1225, 35, 3*w^4 - 5*w^3 - 13*w^2 + 15*w - 1]', '[1225, 175, w^4 - w^3 - 7*w^2 + w + 6]', '[1225, 175, -2*w^4 + 4*w^3 + 10*w^2 - 15*w - 5]', '[1225, 245, w^4 - 4*w^3 - 2*w^2 + 16*w - 8]', '[1225, 245, w^4 - w^3 - 3*w^2 + 4*w - 4]', '[1225, 1225, -w^4 + 4*w^3 + 2*w^2 - 14*w + 4]', '[1225, 1225, w^4 + w^3 - 7*w^2 - 5*w + 5]', '[1225, 1225, w^4 - 2*w^3 - 3*w^2 + 4*w + 4]', '[1225, 1225, -3*w^4 + 5*w^3 + 11*w^2 - 16*w + 2]', '[1237, 1237, -w^4 + 2*w^3 + 5*w^2 - 10*w - 1]', '[1249, 1249, 2*w^4 - w^3 - 10*w^2 - w + 5]', '[1253, 1253, -3*w^4 + 6*w^3 + 11*w^2 - 22*w + 4]', '[1253, 1253, -2*w^2 - w + 7]', '[1255, 1255, 2*w^4 - 3*w^3 - 9*w^2 + 6*w + 7]', '[1255, 1255, -w^4 + w^3 + 3*w^2 + 2*w + 2]', '[1267, 1267, -w^4 + 4*w^3 + 2*w^2 - 15*w + 9]', '[1267, 1267, -3*w^4 + 6*w^3 + 13*w^2 - 19*w]', '[1277, 1277, -w^3 + 2*w^2 + 6*w - 6]', '[1277, 1277, w^4 + w^3 - 8*w^2 - 8*w + 6]', '[1279, 1279, -4*w^4 + 4*w^3 + 20*w^2 - 11*w - 12]', '[1279, 1279, w^4 - 3*w^3 - 3*w^2 + 11*w + 2]', '[1283, 1283, 3*w^4 - 3*w^3 - 16*w^2 + 7*w + 9]', '[1291, 1291, w^4 - 6*w^2 - 4*w + 7]', '[1291, 1291, -5*w^4 + 8*w^3 + 22*w^2 - 28*w - 4]', '[1291, 1291, -w^4 + w^3 + 5*w^2 + w - 3]', '[1295, 1295, w^4 - 3*w^3 - 2*w^2 + 9*w - 7]', '[1295, 1295, 2*w^4 - 5*w^3 - 8*w^2 + 17*w + 1]', '[1295, 1295, -3*w^4 + 5*w^3 + 12*w^2 - 18*w - 1]', '[1295, 1295, -w^4 + 3*w^3 + 4*w^2 - 13*w + 3]', '[1301, 1301, 2*w^4 - w^3 - 12*w^2 + 2*w + 6]', '[1303, 1303, w^4 - 2*w^3 - 2*w^2 + 5*w - 5]', '[1312, 82, 2*w^4 - 2*w^3 - 10*w^2 + 4*w + 8]', '[1315, 1315, -2*w^4 + 4*w^3 + 10*w^2 - 13*w - 2]', '[1315, 1315, 5*w^4 - 8*w^3 - 23*w^2 + 23*w + 14]', '[1315, 1315, w^3 - 2*w^2 - 5*w]', '[1315, 1315, 4*w^4 - 4*w^3 - 21*w^2 + 12*w + 8]', '[1321, 1321, 4*w^4 - 6*w^3 - 18*w^2 + 21*w + 6]', '[1331, 11, -w^4 + 7*w^2 + 2*w - 5]', '[1361, 1361, -w^4 + 2*w^3 + 6*w^2 - 8*w - 6]', '[1367, 1367, 4*w^4 - 5*w^3 - 19*w^2 + 15*w + 5]', '[1367, 1367, 3*w^3 - 4*w^2 - 11*w + 7]', '[1367, 1367, -4*w^4 + 8*w^3 + 17*w^2 - 25*w - 1]', '[1369, 1369, -w^4 + 2*w^3 + 2*w^2 - 5*w + 6]', '[1373, 1373, 2*w^4 - 3*w^3 - 9*w^2 + 12*w + 3]', '[1373, 1373, 3*w^4 - 5*w^3 - 11*w^2 + 17*w - 6]', '[1373, 1373, w^4 - w^3 - 3*w^2 + 3*w - 5]', '[1376, 86, -2*w^4 + 4*w^3 + 8*w^2 - 10*w - 6]', '[1376, 86, -2*w^2 + 2*w + 6]', '[1381, 1381, -w^4 + 2*w^3 + 6*w^2 - 8*w - 7]', '[1385, 1385, 2*w^2 - w - 5]', '[1385, 1385, -6*w^4 + 10*w^3 + 28*w^2 - 34*w - 9]', '[1385, 1385, -4*w^4 + 3*w^3 + 19*w^2 - 3*w - 5]', '[1385, 1385, -4*w^4 + 6*w^3 + 17*w^2 - 16*w - 5]', '[1393, 1393, -2*w^4 + 6*w^3 + 6*w^2 - 23*w + 7]', '[1393, 1393, -w^4 + 2*w^3 + 4*w^2 - 6*w - 5]', '[1393, 1393, -3*w^4 + 7*w^3 + 11*w^2 - 22*w + 5]', '[1393, 1393, -w^4 + 3*w^3 + 2*w^2 - 13*w + 7]', '[1393, 1393, w^4 + w^3 - 6*w^2 - 4*w + 7]', '[1393, 1393, w^4 - 2*w^3 - 6*w^2 + 11*w]', '[1399, 1399, -w^3 + 4*w^2 + 6*w - 11]', '[1403, 1403, 5*w^4 - 9*w^3 - 22*w^2 + 28*w + 5]', '[1409, 1409, -3*w^4 + 6*w^3 + 10*w^2 - 16*w + 3]', '[1415, 1415, -2*w^4 + w^3 + 14*w^2 - 8*w - 6]', '[1415, 1415, -4*w^4 + 7*w^3 + 16*w^2 - 16*w - 11]', '[1423, 1423, -4*w^4 + 5*w^3 + 20*w^2 - 16*w - 11]', '[1427, 1427, 2*w^4 - 4*w^3 - 9*w^2 + 16*w + 2]', '[1433, 1433, 2*w^3 - 3*w^2 - 6*w]', '[1435, 1435, -2*w^4 + 2*w^3 + 12*w^2 - 7*w - 8]', '[1435, 1435, w^4 - 2*w^3 - 4*w^2 + 4*w - 3]', '[1435, 1435, 4*w^4 - 5*w^3 - 17*w^2 + 13*w]', '[1435, 1435, 6*w^4 - 9*w^3 - 27*w^2 + 27*w + 10]', '[1439, 1439, -w^3 + w^2 + 4*w + 3]', '[1447, 1447, -w^4 + 6*w^2 + 2*w - 8]', '[1447, 1447, -2*w^4 + 3*w^3 + 10*w^2 - 7*w - 6]', '[1447, 1447, w^4 + w^3 - 6*w^2 - 4*w + 4]', '[1451, 1451, 4*w^4 - 8*w^3 - 16*w^2 + 25*w]', '[1451, 1451, 3*w^4 - 6*w^3 - 13*w^2 + 21*w + 2]', '[1459, 1459, -w^4 + w^3 + 7*w^2 - 6]', '[1465, 1465, -w^4 + 6*w^2 + 2*w - 9]', '[1465, 1465, w^4 - w^3 - 3*w^2 + w - 3]', '[1477, 1477, -3*w^3 + 2*w^2 + 12*w - 7]', '[1477, 1477, 3*w^4 - 5*w^3 - 14*w^2 + 13*w]', '[1483, 1483, 2*w^4 - 4*w^3 - 7*w^2 + 12*w + 2]', '[1483, 1483, 4*w^4 - 5*w^3 - 17*w^2 + 13*w + 6]', '[1489, 1489, 5*w^4 - 8*w^3 - 21*w^2 + 23*w - 2]', '[1489, 1489, w^4 - w^3 - 4*w^2 - 2*w + 4]', '[1493, 1493, -w^4 + 3*w^3 + w^2 - 7*w]', '[1499, 1499, -2*w^4 + 3*w^3 + 7*w^2 - 6*w + 4]', '[1501, 1501, 4*w^3 - 2*w^2 - 20*w - 1]', '[1501, 1501, 2*w^4 - 3*w^3 - 9*w^2 + 9*w + 7]', '[1501, 1501, w^4 - 2*w^3 - 3*w^2 + 6*w - 7]', '[1504, 94, 4*w^4 - 6*w^3 - 18*w^2 + 16*w + 6]', '[1505, 1505, 3*w^4 - 5*w^3 - 13*w^2 + 14*w + 2]', '[1505, 1505, w^4 - 6*w^2 - 4*w + 6]', '[1505, 1505, -4*w^4 + 7*w^3 + 17*w^2 - 22*w - 7]', '[1505, 1505, -w^4 + 2*w^3 + 4*w^2 - 5*w - 6]', '[1505, 1505, -2*w^4 + w^3 + 11*w^2 + 2*w - 5]', '[1505, 1505, w^4 - w^3 - 3*w^2 + w - 5]', '[1505, 1505, 3*w^4 - 4*w^3 - 15*w^2 + 15*w + 4]', '[1505, 1505, 3*w^4 - 3*w^3 - 15*w^2 + 8*w + 10]', '[1511, 1511, -4*w^4 + 6*w^3 + 19*w^2 - 16*w - 5]', '[1511, 1511, -2*w^4 + w^3 + 10*w^2 - w - 6]', '[1517, 1517, 2*w^4 - 4*w^3 - 9*w^2 + 13*w - 1]', '[1525, 305, 2*w^4 - 3*w^3 - 11*w^2 + 7*w + 7]', '[1525, 1525, 3*w^4 - 5*w^3 - 13*w^2 + 14*w + 1]', '[1525, 1525, -4*w^4 + 8*w^3 + 15*w^2 - 25*w + 3]', '[1531, 1531, 2*w^3 - w^2 - 7*w]', '[1531, 1531, -2*w^4 + 2*w^3 + 9*w^2 - 4*w - 5]', '[1543, 1543, -2*w^4 + 3*w^3 + 9*w^2 - 6*w - 5]', '[1543, 1543, 2*w^4 - w^3 - 13*w^2 + 4*w + 9]', '[1549, 1549, w - 5]', '[1553, 1553, 2*w^4 - 5*w^3 - 8*w^2 + 14*w]', '[1555, 1555, 3*w^4 - 4*w^3 - 14*w^2 + 12*w]', '[1555, 1555, w^4 + 2*w^3 - 9*w^2 - 9*w + 7]', '[1559, 1559, w^4 - 2*w^3 - 5*w^2 + 11*w + 4]', '[1561, 1561, w^4 - 4*w^3 + 16*w - 10]', '[1561, 1561, -w^4 + 7*w^2 + 3*w - 10]', '[1561, 1561, 5*w^4 - 7*w^3 - 21*w^2 + 21*w + 1]', '[1561, 1561, 6*w^4 - 9*w^3 - 27*w^2 + 28*w + 7]', '[1565, 1565, 4*w^4 - 3*w^3 - 19*w^2 + 4*w - 2]', '[1565, 1565, -w^4 - w^3 + 9*w^2 + 5*w - 13]', '[1568, 14, 2*w^3 - 2*w^2 - 10*w + 8]', '[1568, 98, 2*w^4 - 4*w^3 - 10*w^2 + 12*w + 2]', '[1568, 98, -4*w^4 + 6*w^3 + 18*w^2 - 18*w - 2]', '[1591, 1591, -w^4 + w^3 + 5*w^2 - 2*w - 7]', '[1591, 1591, w^4 - 3*w^3 - 2*w^2 + 11*w - 2]', '[1603, 1603, -2*w^4 + 2*w^3 + 11*w^2 - 8*w - 8]', '[1603, 1603, 5*w^4 - 9*w^3 - 23*w^2 + 28*w + 10]', '[1609, 1609, -2*w^4 + 5*w^3 + 8*w^2 - 18*w]', '[1613, 1613, -2*w^4 + 3*w^3 + 9*w^2 - 13*w - 5]', '[1613, 1613, 3*w^4 - 3*w^3 - 16*w^2 + 8*w + 6]', '[1619, 1619, 3*w^4 - 5*w^3 - 12*w^2 + 13*w - 2]', '[1627, 1627, -2*w^4 + 3*w^3 + 10*w^2 - 7*w - 7]', '[1631, 1631, -w^4 + 3*w^3 + w^2 - 13*w + 11]', '[1631, 1631, -5*w^4 + 8*w^3 + 21*w^2 - 27*w - 3]', '[1637, 1637, -3*w^4 + 5*w^3 + 11*w^2 - 13*w + 1]', '[1637, 1637, 5*w^4 - 8*w^3 - 21*w^2 + 25*w - 3]', '[1645, 1645, 7*w^4 - 10*w^3 - 33*w^2 + 28*w + 14]', '[1645, 1645, -4*w^4 + 5*w^3 + 20*w^2 - 17*w - 7]', '[1645, 1645, -5*w^4 + 8*w^3 + 21*w^2 - 21*w - 7]', '[1645, 1645, -6*w^4 + 8*w^3 + 29*w^2 - 26*w - 13]', '[1655, 1655, w^4 - w^3 - 7*w^2 + 3*w + 5]', '[1655, 1655, -2*w^4 + w^3 + 11*w^2]', '[1667, 1667, -3*w^4 + 3*w^3 + 12*w^2 - 4*w]', '[1667, 1667, -3*w^4 + 6*w^3 + 11*w^2 - 20*w + 8]', '[1667, 1667, 2*w^4 - 2*w^3 - 9*w^2 + 3*w + 5]', '[1669, 1669, -3*w^3 + 4*w^2 + 9*w - 4]', '[1673, 1673, 3*w^3 + w^2 - 10*w + 3]', '[1673, 1673, -w^4 + 2*w^3 + 2*w^2 - 10*w + 5]', '[1681, 41, 2*w^4 - 3*w^3 - 10*w^2 + 13*w + 3]', '[1685, 1685, w^4 - 3*w^3 - 4*w^2 + 14*w - 1]', '[1685, 1685, 2*w^4 - w^3 - 12*w^2 + w + 15]', '[1685, 1685, -3*w^4 + 5*w^3 + 10*w^2 - 11*w + 5]', '[1685, 1685, -2*w^2 + w + 6]', '[1693, 1693, 3*w^4 - 4*w^3 - 14*w^2 + 11*w - 1]', '[1693, 1693, -4*w^4 + 4*w^3 + 19*w^2 - 10*w - 3]', '[1697, 1697, 5*w^4 - 5*w^3 - 24*w^2 + 13*w + 8]', '[1699, 1699, -4*w^4 + 3*w^3 + 20*w^2 - 4*w - 1]', '[1701, 21, 3*w^4 - 6*w^3 - 12*w^2 + 18*w]', '[1701, 21, -3*w^4 + 3*w^3 + 15*w^2 - 9*w - 9]', '[1709, 1709, -4*w^4 + 8*w^3 + 17*w^2 - 27*w - 1]', '[1709, 1709, -w^3 + 3*w^2 + 4*w - 6]', '[1715, 35, -3*w^4 + 3*w^3 + 17*w^2 - 11*w - 13]', '[1715, 35, -2*w^4 + 3*w^3 + 9*w^2 - 6*w - 6]', '[1715, 245, -2*w^3 + 4*w^2 + 6*w - 7]', '[1715, 245, 4*w^4 - 6*w^3 - 17*w^2 + 17*w + 3]', '[1715, 245, -3*w^4 + 5*w^3 + 14*w^2 - 17*w - 2]', '[1715, 245, 4*w^4 - 5*w^3 - 19*w^2 + 14*w + 10]', '[1715, 1715, 2*w^4 - 2*w^3 - 9*w^2 + w + 5]', '[1715, 1715, -w^3 - w^2 + 7*w]', '[1715, 1715, -w^4 + w^3 + 6*w^2 - 5*w - 6]', '[1715, 1715, -3*w^4 + 4*w^3 + 12*w^2 - 12*w - 3]', '[1721, 1721, w^4 - w^3 - 3*w^2 + w - 4]', '[1721, 1721, -3*w^4 + 4*w^3 + 15*w^2 - 10*w - 8]', '[1723, 1723, -w^4 + 3*w^3 + 2*w^2 - 10*w + 1]', '[1733, 1733, 3*w^4 - 5*w^3 - 14*w^2 + 13*w + 10]', '[1739, 1739, 4*w^4 - 6*w^3 - 17*w^2 + 18*w + 3]', '[1741, 1741, -w^4 + 7*w^2 + 3*w - 9]', '[1745, 1745, 2*w^4 - 4*w^3 - 9*w^2 + 12*w + 7]', '[1745, 1745, -3*w^4 + 2*w^3 + 17*w^2 - 6*w - 6]', '[1753, 1753, -w^4 + 6*w^2 + 3*w - 8]', '[1753, 1753, -w^4 + 3*w^3 + 5*w^2 - 12*w - 3]', '[1757, 1757, 3*w^4 - 5*w^3 - 13*w^2 + 18*w + 4]', '[1757, 1757, w^2 + 2*w - 6]', '[1763, 1763, 2*w^4 - 12*w^2 - 3*w + 6]', '[1763, 1763, 3*w^4 - 5*w^3 - 12*w^2 + 12*w + 3]', '[1765, 1765, w^4 - w^3 - 5*w^2 + w + 8]', '[1765, 1765, 2*w^4 - w^3 - 12*w^2 + 2*w + 5]', '[1777, 1777, -2*w^4 + 6*w^3 + 6*w^2 - 19*w + 9]', '[1777, 1777, 4*w^4 - 6*w^3 - 17*w^2 + 19*w + 1]', '[1777, 1777, -5*w^4 + 8*w^3 + 24*w^2 - 27*w - 8]', '[1783, 1783, -w^4 + 5*w^2 + 4*w - 5]', '[1783, 1783, w^4 - 2*w^3 - 5*w^2 + 5*w + 6]', '[1789, 1789, -w^4 - w^3 + 6*w^2 + 5*w + 2]', '[1789, 1789, -2*w^4 + w^3 + 11*w^2 - 2*w - 5]', '[1805, 1805, -w^4 + w^3 + 5*w^2 - 3*w + 3]', '[1805, 1805, -w^4 + w^3 + 7*w^2 - 2*w - 6]', '[1813, 259, -5*w^4 + 9*w^3 + 22*w^2 - 28*w - 8]', '[1813, 1813, -w^4 - w^3 + 6*w^2 + 6*w - 6]', '[1813, 1813, 3*w^4 - 5*w^3 - 13*w^2 + 13*w + 4]', '[1817, 1817, -2*w^3 + 2*w^2 + 9*w - 8]', '[1817, 1817, -w^4 + w^3 + 8*w^2 - 3*w - 15]', '[1817, 1817, -4*w^4 + 7*w^3 + 17*w^2 - 23*w - 6]', '[1823, 1823, 4*w^4 - 4*w^3 - 19*w^2 + 10*w + 8]', '[1831, 1831, -w^4 - w^3 + 7*w^2 + 9*w - 4]', '[1835, 1835, -3*w^4 + 3*w^3 + 16*w^2 - 11*w - 3]', '[1835, 1835, -4*w^4 + 8*w^3 + 15*w^2 - 23*w - 3]', '[1841, 1841, w^4 - 4*w^3 - 5*w^2 + 13*w - 1]', '[1841, 1841, 8*w^4 - 12*w^3 - 37*w^2 + 38*w + 14]', '[1841, 1841, -2*w^4 + w^3 + 8*w^2 - 5*w - 6]', '[1841, 1841, -3*w^4 + 4*w^3 + 15*w^2 - 10*w - 11]', '[1843, 1843, 4*w^4 - 3*w^3 - 17*w^2 - w - 1]', '[1847, 1847, -3*w^4 + 4*w^3 + 12*w^2 - 10*w]', '[1849, 43, -w^4 + 3*w^3 + 5*w^2 - 11*w]', '[1849, 1849, 2*w^4 - 6*w^3 - 6*w^2 + 21*w - 5]', '[1849, 1849, 2*w^4 - 4*w^3 - 8*w^2 + 12*w - 5]', '[1861, 1861, -4*w^4 + 8*w^3 + 15*w^2 - 24*w - 3]', '[1867, 1867, 2*w^4 - w^3 - 12*w^2 + w + 8]', '[1871, 1871, -6*w^4 + 8*w^3 + 27*w^2 - 21*w - 7]', '[1877, 1877, 2*w^4 - w^3 - 11*w^2 + 2*w + 9]', '[1877, 1877, 3*w^4 - 5*w^3 - 11*w^2 + 15*w - 2]', '[1877, 1877, -w^4 + 2*w^3 + 2*w^2 - 2*w + 3]', '[1889, 1889, -w^4 + 3*w^3 + 2*w^2 - 14*w + 5]', '[1895, 1895, 5*w^4 - 6*w^3 - 24*w^2 + 17*w + 12]', '[1895, 1895, -3*w^3 + 3*w^2 + 10*w + 2]', '[1895, 1895, 5*w^4 - 7*w^3 - 25*w^2 + 25*w + 9]', '[1895, 1895, -3*w^4 + 3*w^3 + 15*w^2 - 5*w - 6]', '[1895, 1895, -2*w^4 + 2*w^3 + 11*w^2 - 7*w - 10]', '[1895, 1895, 5*w^4 - 7*w^3 - 22*w^2 + 20*w + 4]', '[1913, 1913, 3*w^4 - 4*w^3 - 13*w^2 + 13*w + 1]', '[1919, 1919, -2*w^4 + 5*w^3 + 8*w^2 - 17*w - 5]', '[1919, 1919, 3*w^4 - 2*w^3 - 17*w^2 + 5*w + 8]', '[1927, 1927, 5*w^4 - 9*w^3 - 22*w^2 + 28*w + 10]', '[1933, 1933, w^3 + w^2 - 8*w + 1]', '[1933, 1933, -5*w^4 + 7*w^3 + 23*w^2 - 18*w - 11]', '[1939, 1939, -6*w^4 + 8*w^3 + 29*w^2 - 24*w - 17]', '[1939, 1939, 5*w^4 - 9*w^3 - 22*w^2 + 30*w + 3]', '[1939, 1939, -4*w^4 + 5*w^3 + 17*w^2 - 15*w - 3]', '[1939, 1939, w^3 - 3*w^2 - 5*w + 6]', '[1945, 1945, 2*w^4 - w^3 - 9*w^2 - 4*w + 5]', '[1945, 1945, 3*w^4 - 4*w^3 - 12*w^2 + 9*w + 1]', '[1952, 122, 4*w^4 - 6*w^3 - 18*w^2 + 20*w + 4]', '[1975, 395, -w^4 + 5*w^3 + 3*w^2 - 20*w - 1]', '[1975, 395, -3*w^3 + 4*w^2 + 12*w - 11]', '[1975, 395, -4*w^4 + 7*w^3 + 18*w^2 - 23*w - 3]', '[1975, 1975, w^4 + 2*w^3 - 7*w^2 - 10*w + 8]', '[1975, 1975, 4*w^4 - 4*w^3 - 17*w^2 + 8*w - 5]', '[1975, 1975, -4*w^4 + 8*w^3 + 13*w^2 - 26*w + 14]', '[1975, 1975, 4*w^4 - 6*w^3 - 20*w^2 + 21*w + 12]', '[1975, 1975, -3*w^4 + 7*w^3 + 12*w^2 - 24*w + 3]', '[1975, 1975, 2*w^3 - 2*w^2 - 9*w]', '[1979, 1979, -5*w^4 + 5*w^3 + 24*w^2 - 11*w - 2]', '[1979, 1979, 2*w^4 - 4*w^3 - 7*w^2 + 13*w + 1]', '[1981, 1981, 2*w^4 - 3*w^3 - 9*w^2 + 5*w + 9]', '[1981, 1981, -6*w^4 + 9*w^3 + 28*w^2 - 30*w - 10]', '[1985, 1985, 3*w^4 - 5*w^3 - 15*w^2 + 16*w + 5]', '[1985, 1985, -w^4 + 3*w^3 + 2*w^2 - 9*w - 1]', '[1993, 1993, -3*w^4 + 3*w^3 + 15*w^2 - 9*w - 7]', '[1997, 1997, w^4 - 9*w^2 + 12]', '[2003, 2003, 2*w^4 - w^3 - 11*w^2 + 2*w - 1]', '[2003, 2003, -4*w^4 + 8*w^3 + 15*w^2 - 25*w + 4]', '[2009, 287, 4*w^4 - 5*w^3 - 19*w^2 + 14*w + 3]', '[2009, 2009, -w^4 + 5*w^2 + 5*w - 6]', '[2009, 2009, w^3 - 3*w - 4]', '[2011, 2011, 2*w^4 - 4*w^3 - 8*w^2 + 10*w + 1]', '[2017, 2017, w^4 - 5*w^3 + 18*w - 13]', '[2021, 2021, 6*w^4 - 8*w^3 - 29*w^2 + 25*w + 10]', '[2021, 2021, -7*w^4 + 11*w^3 + 30*w^2 - 30*w - 13]', '[2027, 2027, -w^4 + 3*w^3 + 2*w^2 - 12*w + 2]', '[2029, 2029, -w^4 - w^3 + 7*w^2 + 7*w - 2]', '[2029, 2029, -6*w^4 + 11*w^3 + 23*w^2 - 37*w + 4]', '[2033, 2033, 5*w^4 - 6*w^3 - 21*w^2 + 9*w + 7]', '[2045, 2045, 3*w^4 - 4*w^3 - 14*w^2 + 9*w + 7]', '[2045, 2045, 4*w^4 - 5*w^3 - 21*w^2 + 17*w + 14]', '[2045, 2045, -3*w^4 + 6*w^3 + 13*w^2 - 18*w - 6]', '[2045, 2045, 3*w^4 - 3*w^3 - 16*w^2 + 11*w + 4]', '[2051, 2051, -3*w^4 + 7*w^3 + 13*w^2 - 23*w - 1]', '[2051, 2051, -w^4 + 4*w^3 + 2*w^2 - 14*w + 10]', '[2053, 2053, -2*w^4 + 11*w^2 + 4*w - 7]', '[2081, 2081, -3*w^4 + 7*w^3 + 8*w^2 - 25*w + 14]', '[2083, 2083, w^4 - 3*w^3 - 3*w^2 + 8*w + 5]', '[2083, 2083, -2*w^4 + w^3 + 12*w^2 - w - 14]', '[2083, 2083, -4*w^4 + 5*w^3 + 21*w^2 - 15*w - 8]', '[2087, 2087, 3*w^4 - 5*w^3 - 13*w^2 + 16*w - 2]', '[2099, 2099, -w^4 - w^3 + 7*w^2 + 6*w]', '[2107, 301, -w^4 + 4*w^3 + 3*w^2 - 14*w + 2]', '[2107, 301, -2*w^4 + 2*w^3 + 10*w^2 - 8*w - 7]', '[2107, 2107, 4*w^4 - 6*w^3 - 17*w^2 + 18*w + 4]', '[2107, 2107, 5*w^4 - 7*w^3 - 24*w^2 + 23*w + 8]', '[2107, 2107, -2*w^4 + 5*w^3 + 6*w^2 - 15*w + 7]', '[2107, 2107, -3*w^4 + 2*w^3 + 16*w^2 - 4*w - 6]', '[2111, 2111, w^3 - 8*w + 1]', '[2113, 2113, -3*w^4 + 6*w^3 + 12*w^2 - 19*w - 7]', '[2131, 2131, -w^4 + 2*w^3 + 4*w^2 - 3*w - 6]', '[2135, 2135, -5*w^4 + 8*w^3 + 23*w^2 - 28*w - 4]', '[2135, 2135, -5*w^4 + 8*w^3 + 24*w^2 - 23*w - 13]', '[2135, 2135, 6*w^4 - 8*w^3 - 29*w^2 + 25*w + 14]', '[2135, 2135, -4*w^4 + 7*w^3 + 17*w^2 - 20*w - 5]', '[2137, 2137, w^4 + w^3 - 7*w^2 - 5*w + 6]', '[2141, 2141, 3*w^4 - 3*w^3 - 16*w^2 + 9*w + 9]', '[2141, 2141, -4*w^4 + 3*w^3 + 21*w^2 - 3*w - 6]', '[2141, 2141, -4*w^4 + 7*w^3 + 17*w^2 - 21*w - 1]', '[2153, 2153, -w^4 + 6*w^2 + w + 2]', '[2155, 2155, -7*w^4 + 11*w^3 + 34*w^2 - 40*w - 11]', '[2155, 2155, -5*w^4 + 8*w^3 + 20*w^2 - 19*w - 6]', '[2161, 2161, -w^4 + 2*w^3 + 3*w^2 - 4*w + 4]', '[2161, 2161, w^4 - 2*w^3 - 4*w^2 + 7*w + 5]', '[2165, 2165, -2*w^4 + w^3 + 8*w^2 + 3*w + 1]', '[2165, 2165, 3*w^4 - 6*w^3 - 13*w^2 + 22*w]', '[2165, 2165, 4*w^4 - 5*w^3 - 17*w^2 + 11*w + 2]', '[2165, 2165, 3*w^4 - 4*w^3 - 13*w^2 + 10*w + 7]', '[2177, 2177, 3*w^3 - 2*w^2 - 14*w + 5]', '[2177, 2177, w^3 - 2*w^2 - 7*w + 5]', '[2179, 2179, 2*w^4 - 4*w^3 - 9*w^2 + 16*w + 3]', '[2185, 2185, -w^3 + 2*w^2 + w + 3]', '[2185, 2185, 2*w^4 - 4*w^3 - 7*w^2 + 12*w + 3]', '[2191, 2191, -3*w^4 + 7*w^3 + 8*w^2 - 23*w + 14]', '[2191, 2191, -4*w^4 + 9*w^3 + 15*w^2 - 32*w]', '[2195, 2195, -w^4 + 4*w^3 + 5*w^2 - 13*w - 3]', '[2195, 2195, -3*w^4 + 3*w^3 + 15*w^2 - 9*w - 8]', '[2195, 2195, -6*w^4 + 8*w^3 + 27*w^2 - 26*w - 10]', '[2195, 2195, -3*w^4 + w^3 + 17*w^2 + 3*w - 4]', '[2195, 2195, 2*w^4 - 4*w^3 - 9*w^2 + 13*w - 2]', '[2195, 2195, w^4 - 4*w^2 - w - 3]', '[2203, 2203, -2*w^4 + 4*w^3 + 10*w^2 - 15*w - 4]', '[2203, 2203, 3*w^4 - 4*w^3 - 14*w^2 + 14*w + 3]', '[2207, 2207, 3*w^4 - 6*w^3 - 11*w^2 + 17*w - 4]', '[2209, 47, -3*w^4 + 5*w^3 + 12*w^2 - 13*w]', '[2209, 47, -4*w^4 + 8*w^3 + 16*w^2 - 25*w - 5]', '[2209, 2209, w^4 - 4*w^3 - w^2 + 12*w - 3]', '[2213, 2213, 3*w^4 - 7*w^3 - 12*w^2 + 24*w - 1]', '[2215, 2215, -2*w^4 + 5*w^3 + 6*w^2 - 14*w]', '[2215, 2215, -4*w^4 + 3*w^3 + 21*w^2 - 8*w - 3]', '[2221, 2221, -2*w^4 + 4*w^3 + 9*w^2 - 14*w + 3]', '[2221, 2221, 2*w^4 - 5*w^3 - 7*w^2 + 19*w + 1]', '[2231, 2231, -2*w^4 + 5*w^3 + 7*w^2 - 18*w - 1]', '[2237, 2237, 2*w^4 - w^3 - 9*w^2 + 2*w - 1]', '[2239, 2239, -4*w^4 + 7*w^3 + 17*w^2 - 21*w - 2]', '[2243, 2243, 3*w^4 - 4*w^3 - 14*w^2 + 16*w + 4]', '[2243, 2243, -w^4 + 5*w^3 - 17*w + 8]', '[2257, 2257, 5*w^4 - 10*w^3 - 20*w^2 + 33*w - 3]', '[2267, 2267, -w^4 + w^3 + 6*w^2 - 6*w - 5]', '[2273, 2273, 5*w^4 - 9*w^3 - 21*w^2 + 27*w + 5]', '[2273, 2273, 4*w^4 - 6*w^3 - 17*w^2 + 17*w + 4]', '[2281, 2281, -w^3 + 2*w^2 + w - 5]', '[2285, 2285, 2*w^4 - 5*w^3 - 6*w^2 + 13*w + 3]', '[2285, 2285, -2*w^4 + 2*w^3 + 9*w^2 - 2*w - 6]', '[2285, 2285, 6*w^4 - 4*w^3 - 32*w^2 + 9*w + 6]', '[2285, 2285, -w^4 + 9*w^2 - w - 12]', '[2287, 2287, -w^4 - w^3 + 6*w^2 + 9*w - 2]', '[2287, 2287, w^4 - 3*w^3 - 2*w^2 + 9*w + 2]', '[2287, 2287, w^4 - 6*w^2 - 5*w + 10]', '[2293, 2293, 2*w^3 - 10*w + 5]', '[2293, 2293, w^4 - 4*w^3 + 15*w - 10]', '[2293, 2293, -w^4 + 5*w^3 + w^2 - 19*w + 6]', '[2297, 2297, -3*w^3 + 2*w^2 + 13*w - 7]', '[2299, 209, 4*w^4 - 5*w^3 - 20*w^2 + 16*w + 5]', '[2303, 329, 2*w^4 - 5*w^3 - 7*w^2 + 16*w + 2]', '[2303, 2303, -2*w^4 + 4*w^3 + 10*w^2 - 16*w - 9]', '[2303, 2303, 3*w^4 - 4*w^3 - 14*w^2 + 15*w + 8]', '[2305, 2305, -5*w^4 + 4*w^3 + 24*w^2 - 3*w - 2]', '[2305, 2305, -4*w^4 + 7*w^3 + 17*w^2 - 21*w - 10]', '[2305, 2305, -7*w^4 + 6*w^3 + 36*w^2 - 13*w - 9]', '[2305, 2305, 8*w^4 - 13*w^3 - 38*w^2 + 40*w + 20]', '[2305, 2305, 6*w^4 - 7*w^3 - 29*w^2 + 20*w + 11]', '[2305, 2305, w^4 - w^3 - 6*w^2 + 5]', '[2309, 2309, -2*w^4 + 5*w^3 + 8*w^2 - 17*w - 2]', '[2309, 2309, w^4 - 3*w^3 - w^2 + 13*w - 8]', '[2309, 2309, -5*w^4 + 7*w^3 + 24*w^2 - 22*w - 7]', '[2315, 2315, 3*w^4 - 4*w^3 - 16*w^2 + 12*w + 9]', '[2315, 2315, 6*w^4 - 8*w^3 - 29*w^2 + 24*w + 19]', '[2317, 2317, 2*w^4 - 3*w^3 - 7*w^2 + 12*w + 2]', '[2317, 2317, w^4 - w^3 - 2*w^2 + 3*w - 4]', '[2323, 2323, -4*w^4 + 5*w^3 + 19*w^2 - 17*w - 12]', '[2323, 2323, 5*w^4 - 9*w^3 - 21*w^2 + 28*w + 2]', '[2335, 2335, w^4 - 3*w^3 - 2*w^2 + 11*w - 10]', '[2335, 2335, -3*w^4 + w^3 + 17*w^2 + 2*w - 7]', '[2339, 2339, -w^4 + 4*w^3 + 2*w^2 - 14*w - 2]', '[2347, 2347, 2*w^4 - w^3 - 12*w^2 - w + 7]', '[2351, 2351, -4*w^4 + 7*w^3 + 16*w^2 - 24*w + 5]', '[2359, 2359, 6*w^4 - 12*w^3 - 26*w^2 + 39*w + 4]', '[2359, 2359, -4*w^4 + 6*w^3 + 17*w^2 - 19*w + 2]', '[2359, 2359, -w^4 + 2*w^3 + 4*w^2 - 7*w + 5]', '[2359, 2359, w^4 - 5*w^3 + 18*w - 16]', '[2371, 2371, w^4 - w^3 - 4*w^2 + 4*w - 4]', '[2371, 2371, 3*w^3 - 4*w^2 - 14*w + 6]', '[2375, 95, 7*w^4 - 6*w^3 - 36*w^2 + 13*w + 12]', '[2375, 475, -w^4 + w^3 + 3*w^2 + w + 4]', '[2375, 475, 2*w^4 - 4*w^3 - 9*w^2 + 16*w + 4]', '[2375, 2375, 4*w^4 - 6*w^3 - 19*w^2 + 21*w + 11]', '[2375, 2375, -3*w^4 + 4*w^3 + 15*w^2 - 10*w - 9]', '[2377, 2377, 4*w^4 - 5*w^3 - 18*w^2 + 10*w + 7]', '[2383, 2383, -w^3 + 3*w^2 + 6*w - 9]', '[2383, 2383, -3*w^4 + 3*w^3 + 15*w^2 - 11*w - 8]', '[2383, 2383, -3*w^4 + 5*w^3 + 10*w^2 - 10*w]', '[2389, 2389, 4*w^4 - 5*w^3 - 21*w^2 + 16*w + 9]', '[2389, 2389, w^4 - 4*w^3 - w^2 + 12*w - 2]', '[2393, 2393, -4*w^4 + 4*w^3 + 19*w^2 - 7*w - 8]', '[2393, 2393, 2*w^4 - 3*w^3 - 10*w^2 + 7*w + 10]', '[2399, 2399, 3*w^4 - 3*w^3 - 12*w^2 + 7*w - 3]', '[2401, 7, w^4 + w^3 - 8*w^2 - 3*w + 12]', '[2401, 7, -6*w^4 + 11*w^3 + 27*w^2 - 34*w - 8]', '[2401, 49, -w^4 + w^3 + 5*w^2 - 4*w - 7]', '[2401, 343, 2*w^4 - 5*w^3 - 8*w^2 + 18*w - 2]', '[2401, 343, 2*w^4 - 2*w^3 - 9*w^2 + 6*w - 3]', '[2401, 2401, 2*w^4 - 3*w^3 - 10*w^2 + 10*w]', '[2401, 2401, -2*w^3 + 3*w^2 + 10*w - 9]', '[2411, 2411, -5*w^4 + 6*w^3 + 23*w^2 - 13*w - 1]', '[2411, 2411, 2*w^4 - 3*w^3 - 7*w^2 + 9*w - 7]', '[2417, 2417, 5*w^4 - 9*w^3 - 19*w^2 + 30*w - 5]', '[2423, 2423, -w^4 - w^3 + 6*w^2 + 3*w + 1]', '[2425, 485, 2*w^4 - w^3 - 10*w^2 - w - 2]', '[2425, 2425, w^4 - 5*w^3 + 18*w - 5]', '[2425, 2425, 3*w^4 - 17*w^2 - 7*w + 4]', '[2435, 2435, -4*w^4 + 6*w^3 + 16*w^2 - 11*w - 6]', '[2435, 2435, w^4 + 2*w^3 - 6*w^2 - 12*w + 1]', '[2435, 2435, 2*w^4 - 6*w^3 - 7*w^2 + 22*w + 5]', '[2435, 2435, -4*w^4 + 5*w^3 + 22*w^2 - 21*w - 11]', '[2435, 2435, -6*w^4 + 10*w^3 + 25*w^2 - 32*w - 3]', '[2435, 2435, 10*w^4 - 16*w^3 - 46*w^2 + 52*w + 15]', '[2437, 2437, -4*w^4 + 8*w^3 + 15*w^2 - 27*w + 1]', '[2441, 2441, -w^3 + w^2 + 4*w - 7]', '[2443, 2443, -3*w^4 + 4*w^3 + 12*w^2 - 9*w - 2]', '[2443, 2443, -2*w^4 + 2*w^3 + 8*w^2 - w + 2]', '[2447, 2447, -2*w^4 + 3*w^3 + 12*w^2 - 10*w - 6]', '[2455, 2455, -w^4 + 8*w^2 - w - 4]', '[2455, 2455, -w^4 + w^3 + 4*w^2 - 7]', '[2459, 2459, -2*w^4 + 6*w^3 + 6*w^2 - 21*w]', '[2459, 2459, -3*w^4 + 5*w^3 + 11*w^2 - 15*w + 1]', '[2461, 2461, 4*w^4 - 6*w^3 - 19*w^2 + 19*w + 5]', '[2467, 2467, -2*w^4 + 5*w^3 + 6*w^2 - 20*w + 6]', '[2471, 2471, 4*w^4 - 7*w^3 - 18*w^2 + 22*w + 3]', '[2471, 2471, -2*w^3 + 2*w^2 + 9*w - 9]', '[2473, 2473, -2*w^4 + 5*w^3 + 8*w^2 - 19*w]', '[2489, 2489, 3*w^4 - 19*w^2 - 3*w + 8]', '[2489, 2489, 8*w^4 - 9*w^3 - 36*w^2 + 19*w + 4]', '[2489, 2489, -w^4 + 5*w^3 + 2*w^2 - 20*w - 1]', '[2501, 2501, 6*w^4 - 10*w^3 - 27*w^2 + 34*w + 8]', '[2503, 2503, -2*w^4 + 3*w^3 + 12*w^2 - 9*w - 11]', '[2521, 2521, 3*w^4 - 6*w^3 - 9*w^2 + 18*w - 7]', '[2525, 505, -3*w^4 + 4*w^3 + 12*w^2 - 16*w - 5]', '[2525, 505, 2*w^4 - 2*w^3 - 11*w^2 + 3*w + 7]', '[2525, 2525, -5*w^4 + 10*w^3 + 18*w^2 - 31*w + 6]', '[2525, 2525, 4*w^4 - 6*w^3 - 17*w^2 + 16*w]', '[2525, 2525, w^3 - 2*w^2 - 2*w + 7]', '[2525, 2525, -3*w - 4]', '[2527, 2527, w^4 - 2*w^3 - 3*w^2 + 10*w - 2]', '[2527, 2527, -w^4 - w^3 + 6*w^2 + 7*w - 6]', '[2528, 158, 2*w^2 - 2*w - 10]', '[2528, 158, -2*w^3 + 4*w^2 + 6*w - 6]', '[2528, 158, -4*w^4 + 8*w^3 + 14*w^2 - 28*w + 4]', '[2531, 2531, w^4 - 5*w^2 - 2*w + 6]', '[2543, 2543, -4*w^4 + 7*w^3 + 19*w^2 - 25*w - 7]', '[2545, 2545, -6*w^4 + 10*w^3 + 26*w^2 - 32*w - 9]', '[2545, 2545, 4*w^4 - 6*w^3 - 19*w^2 + 20*w + 4]', '[2551, 2551, 4*w^4 - 5*w^3 - 20*w^2 + 17*w + 6]', '[2557, 2557, 3*w^4 - 3*w^3 - 14*w^2 + 6*w - 2]', '[2557, 2557, 3*w^4 - w^3 - 17*w^2 - 3*w + 7]', '[2557, 2557, 2*w^4 - 4*w^3 - 7*w^2 + 16*w - 3]', '[2569, 2569, 4*w^4 - 8*w^3 - 15*w^2 + 24*w - 1]', '[2569, 2569, -3*w^4 + 3*w^3 + 16*w^2 - 9*w - 11]', '[2579, 2579, -w^4 - 2*w^3 + 9*w^2 + 9*w - 9]', '[2579, 2579, -3*w^4 + 7*w^3 + 10*w^2 - 26*w + 6]', '[2593, 2593, w^4 - 4*w^3 + 16*w - 8]', '[2603, 2603, -6*w^4 + 7*w^3 + 27*w^2 - 13*w - 8]', '[2603, 2603, 3*w^4 - 4*w^3 - 13*w^2 + 9*w + 7]', '[2603, 2603, -4*w^4 + 3*w^3 + 19*w^2 - w - 7]', '[2605, 2605, -w^3 + w^2 - 2*w + 4]', '[2605, 2605, w^4 + w^3 - 8*w^2 + 3]', '[2605, 2605, 4*w^4 - 7*w^3 - 14*w^2 + 17*w + 5]', '[2605, 2605, -4*w^2 + 7*w + 2]', '[2609, 2609, -2*w^3 + w^2 + 12*w - 3]', '[2617, 2617, -5*w^4 + 6*w^3 + 24*w^2 - 14*w - 9]', '[2621, 2621, 2*w^3 - 4*w^2 - 9*w + 10]', '[2621, 2621, 2*w^4 - 5*w^3 - 7*w^2 + 16*w]', '[2623, 2623, -6*w^4 + 9*w^3 + 30*w^2 - 31*w - 12]', '[2623, 2623, 6*w^4 - 10*w^3 - 26*w^2 + 30*w + 7]', '[2633, 2633, -w^4 - w^3 + 7*w^2 + 5*w - 7]', '[2633, 2633, -4*w^4 + 6*w^3 + 17*w^2 - 19*w]', '[2641, 2641, w^4 - 8*w^2 + w + 5]', '[2645, 115, 4*w^4 - 5*w^3 - 23*w^2 + 22*w + 12]', '[2645, 115, 3*w^4 - 3*w^3 - 14*w^2 + 9*w + 2]', '[2645, 115, 5*w^4 - 7*w^3 - 20*w^2 + 12*w + 7]', '[2645, 115, 2*w^4 - 12*w^2 - 2*w + 5]', '[2645, 2645, 2*w^4 - 5*w^3 - 9*w^2 + 17*w]', '[2645, 2645, -3*w^4 + 5*w^3 + 11*w^2 - 14*w + 1]', '[2653, 2653, 7*w^4 - 8*w^3 - 32*w^2 + 19*w + 1]', '[2653, 2653, w^4 + w^3 - 7*w^2 - 4*w + 10]', '[2653, 2653, -3*w^4 + 5*w^3 + 14*w^2 - 19*w - 4]', '[2653, 2653, 3*w^4 - 3*w^3 - 13*w^2 + 7*w - 3]', '[2653, 2653, -5*w^4 + 9*w^3 + 23*w^2 - 27*w - 6]', '[2653, 2653, 4*w^4 - 7*w^3 - 19*w^2 + 22*w + 12]', '[2663, 2663, -w^4 - w^3 + 7*w^2 + 5*w - 11]', '[2663, 2663, -3*w^4 + 5*w^3 + 14*w^2 - 15*w - 2]', '[2671, 2671, -w^4 + 5*w^3 + 2*w^2 - 20*w + 4]', '[2675, 535, 3*w^4 - 3*w^3 - 16*w^2 + 7*w + 6]', '[2675, 2675, 4*w^4 - 4*w^3 - 20*w^2 + 10*w + 3]', '[2675, 2675, -3*w^4 + 4*w^3 + 15*w^2 - 15*w]', '[2693, 2693, 5*w^4 - 7*w^3 - 22*w^2 + 21*w + 6]', '[2699, 2699, 2*w^4 - 3*w^3 - 6*w^2 + 5*w - 6]', '[2705, 2705, -w^3 + 4*w^2 + w - 7]', '[2705, 2705, -2*w^4 + 2*w^3 + 8*w^2 - w - 4]', '[2707, 2707, w^4 - 2*w^3 - 6*w^2 + 6*w + 8]', '[2711, 2711, -w^4 + 4*w^3 - 16*w + 9]', '[2719, 2719, 3*w^4 - 6*w^3 - 11*w^2 + 16*w - 4]', '[2719, 2719, -2*w^3 + 2*w^2 + 9*w + 1]', '[2719, 2719, 6*w^4 - 9*w^3 - 27*w^2 + 26*w + 4]', '[2723, 2723, w^4 + w^3 - 6*w^2 - 3*w + 4]', '[2723, 2723, 2*w^3 - 3*w^2 - 9*w + 3]', '[2731, 2731, -3*w^4 + 4*w^3 + 16*w^2 - 11*w - 9]', '[2741, 2741, -3*w^4 + w^3 + 16*w^2 + 3*w - 8]', '[2741, 2741, -4*w^4 + 5*w^3 + 18*w^2 - 11*w - 2]', '[2749, 2749, 4*w^4 - 6*w^3 - 18*w^2 + 16*w + 5]', '[2749, 2749, 6*w^4 - 8*w^3 - 27*w^2 + 23*w + 7]', '[2765, 2765, -5*w^4 + 10*w^3 + 22*w^2 - 36*w - 11]', '[2765, 2765, -4*w^4 + 7*w^3 + 15*w^2 - 21*w + 3]', '[2765, 2765, 2*w^4 - w^3 - 12*w^2 + 8]', '[2765, 2765, 3*w^4 - 5*w^3 - 11*w^2 + 13*w + 2]', '[2765, 2765, 6*w^4 - 11*w^3 - 27*w^2 + 36*w + 11]', '[2765, 2765, -5*w^4 + 9*w^3 + 20*w^2 - 28*w - 4]', '[2765, 2765, 3*w^4 - 7*w^3 - 12*w^2 + 24*w - 2]', '[2765, 2765, w^3 - 4*w^2 - 2*w + 15]', '[2765, 2765, -2*w^4 + 2*w^3 + 10*w^2 - 7*w - 10]', '[2765, 2765, -3*w^4 + 6*w^3 + 15*w^2 - 20*w - 5]', '[2765, 2765, w^4 - 2*w^3 - 6*w^2 + 7*w + 10]', '[2765, 2765, -3*w^4 + 4*w^3 + 15*w^2 - 13*w - 3]', '[2779, 2779, 3*w^4 - 4*w^3 - 12*w^2 + 10*w + 1]', '[2779, 2779, -w^3 + w^2 - 3]', '[2783, 253, 3*w^4 - 3*w^3 - 15*w^2 + 8*w + 11]', '[2791, 2791, -4*w^4 + 2*w^3 + 21*w^2 + 2*w - 8]', '[2797, 2797, -3*w^4 + 4*w^3 + 12*w^2 - 11*w - 1]', '[2809, 53, 2*w^4 - 2*w^3 - 7*w^2 + w - 1]', '[2815, 2815, -6*w^4 + 8*w^3 + 27*w^2 - 21*w - 4]', '[2815, 2815, -7*w^4 + 13*w^3 + 29*w^2 - 44*w - 3]', '[2819, 2819, -5*w^4 + 8*w^3 + 20*w^2 - 22*w + 2]', '[2831, 2831, -3*w^4 + 5*w^3 + 14*w^2 - 16*w - 2]', '[2831, 2831, -3*w^4 + 2*w^3 + 15*w^2 - w - 7]', '[2831, 2831, 7*w^4 - 9*w^3 - 32*w^2 + 24*w + 8]', '[2833, 2833, -w^4 + 3*w^3 + 4*w^2 - 15*w + 3]', '[2843, 2843, -2*w^4 + 4*w^3 + 8*w^2 - 16*w + 1]', '[2843, 2843, -3*w^4 + 5*w^3 + 11*w^2 - 12*w + 4]', '[2845, 2845, -5*w^4 + 8*w^3 + 21*w^2 - 20*w - 8]', '[2845, 2845, -8*w^4 + 12*w^3 + 39*w^2 - 42*w - 16]', '[2851, 2851, -2*w^4 + 2*w^3 + 11*w^2 - 10*w]', '[2851, 2851, -w^4 + w^3 + 5*w^2 + w - 7]', '[2855, 2855, 3*w^4 - 3*w^3 - 17*w^2 + 15*w + 6]', '[2855, 2855, -3*w^3 + 4*w^2 + 6*w + 1]', '[2855, 2855, -w^4 + 7*w^2 - w - 9]', '[2855, 2855, -2*w^4 + 2*w^3 + 10*w^2 - 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11]', '[3775, 3775, 6*w^4 - 11*w^3 - 24*w^2 + 37*w - 4]', '[3775, 3775, -5*w^4 + 7*w^3 + 22*w^2 - 21*w - 2]', '[3779, 3779, w^4 - 4*w^3 - 3*w^2 + 17*w - 3]', '[3781, 3781, -5*w^4 + 3*w^3 + 29*w^2 - 11*w - 5]', '[3781, 3781, -w^4 - 2*w^3 + 8*w^2 + 11*w - 4]', '[3781, 3781, -6*w^4 + 11*w^3 + 24*w^2 - 37*w + 3]', '[3787, 3787, -4*w^4 + 6*w^3 + 16*w^2 - 19*w - 2]', '[3787, 3787, -w^4 + 3*w^3 - 10*w + 8]', '[3797, 3797, 6*w^4 - 10*w^3 - 25*w^2 + 33*w + 2]', '[3803, 3803, 3*w^4 - 3*w^3 - 16*w^2 + 6*w + 12]', '[3803, 3803, 4*w^4 - 9*w^3 - 17*w^2 + 31*w + 5]', '[3805, 3805, w^4 - 8*w^2 - w + 9]', '[3805, 3805, 4*w^4 - 7*w^3 - 17*w^2 + 24*w - 3]', '[3823, 3823, 2*w^4 - 6*w^3 - 7*w^2 + 21*w - 2]', '[3833, 3833, 4*w^4 - 5*w^3 - 16*w^2 + 9*w + 4]', '[3841, 3841, -w^4 + 7*w^2 + 4*w - 7]', '[3841, 3841, -4*w^4 + 9*w^3 + 15*w^2 - 28*w + 7]', '[3845, 3845, w^4 - w^3 - 4*w^2 + 2*w - 6]', '[3845, 3845, -w^4 - w^3 + 10*w^2 + 5*w - 17]', '[3851, 3851, 6*w^4 - 8*w^3 - 26*w^2 + 20*w + 1]', '[3863, 3863, -4*w^4 + 3*w^3 + 20*w^2 - 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3*w^2 - 13*w + 2]', '[3925, 785, 2*w^4 - 5*w^3 - 6*w^2 + 20*w - 3]', '[3925, 3925, -4*w^4 + 7*w^3 + 15*w^2 - 20*w + 8]', '[3925, 3925, 7*w^4 - 16*w^3 - 22*w^2 + 53*w - 21]', '[3929, 3929, -w^4 + 4*w^2 + 8*w - 3]', '[3929, 3929, w^4 - 4*w^3 - 3*w^2 + 17*w - 5]', '[3931, 3931, -5*w^4 + 7*w^3 + 22*w^2 - 18*w - 4]', '[3935, 3935, -3*w^4 + 4*w^3 + 13*w^2 - 14*w + 2]', '[3935, 3935, -w^4 - w^3 + 6*w^2 + 3*w - 5]', '[3941, 3941, 8*w^4 - 15*w^3 - 31*w^2 + 50*w - 5]', '[3941, 3941, -4*w^4 + 4*w^3 + 23*w^2 - 9*w - 20]', '[3947, 3947, w^3 - 5*w + 6]', '[3947, 3947, 5*w^4 - 5*w^3 - 22*w^2 + 8*w - 2]', '[3947, 3947, -2*w^4 + w^3 + 12*w^2 - 7]', '[3959, 3959, 4*w^4 - 7*w^3 - 16*w^2 + 20*w]', '[3977, 3977, -5*w^4 + 7*w^3 + 24*w^2 - 23*w - 5]', '[3979, 3979, w^4 - 5*w^3 + 18*w - 11]', '[3979, 3979, w^4 - 5*w^3 - 2*w^2 + 18*w - 5]', '[3983, 3983, 6*w^4 - 9*w^3 - 28*w^2 + 31*w + 9]', '[3983, 3983, -9*w^4 + 14*w^3 + 43*w^2 - 42*w - 22]', '[3989, 3989, -4*w^4 + 8*w^3 + 17*w^2 - 26*w - 5]', '[3997, 3997, 2*w^4 - 5*w^3 - 10*w^2 + 14*w + 7]', '[3997, 3997, -2*w^4 + 2*w^3 + 10*w^2 - 11*w - 3]', '[3997, 3997, -4*w^4 + 8*w^3 + 18*w^2 - 24*w - 3]', '[3997, 3997, 3*w^3 - 3*w^2 - 10*w + 10]', '[4000, 10, 6*w^4 - 8*w^3 - 28*w^2 + 24*w + 6]', '[4000, 50, 2*w^4 - 2*w^3 - 10*w^2 + 8*w + 8]', '[4000, 50, 2*w^4 - 4*w^3 - 8*w^2 + 16*w]', '[4000, 250, -2*w^4 + 2*w^3 + 10*w^2 - 2*w - 6]', '[4000, 250, -2*w^4 + 4*w^3 + 6*w^2 - 10*w + 6]', '[4003, 4003, -3*w^4 + 4*w^3 + 14*w^2 - 15*w + 2]', '[4003, 4003, 2*w^4 - 3*w^3 - 7*w^2 + 6*w - 5]', '[4009, 4009, -9*w^4 + 7*w^3 + 43*w^2 - 10*w - 3]', '[4013, 4013, 3*w^4 - 5*w^3 - 13*w^2 + 13*w + 2]', '[4013, 4013, -4*w^4 + 7*w^3 + 18*w^2 - 18*w - 10]', '[4021, 4021, -4*w^4 + 5*w^3 + 19*w^2 - 14*w - 2]', '[4025, 805, -5*w^4 + 8*w^3 + 21*w^2 - 22*w - 4]', '[4025, 805, 2*w^4 - 6*w^3 - 5*w^2 + 24*w - 7]', '[4025, 4025, -4*w^4 + 5*w^3 + 19*w^2 - 16*w - 5]', '[4025, 4025, -2*w^3 + w^2 + 7*w + 4]', '[4025, 4025, 2*w^4 - 3*w^3 - 8*w^2 + 9*w + 6]', '[4025, 4025, -5*w^4 + 7*w^3 + 24*w^2 - 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14*w^2 + 25*w]', '[4105, 4105, 2*w^4 - 2*w^3 - 11*w^2 + 11*w + 1]', '[4109, 4109, 2*w^4 - 5*w^3 - 7*w^2 + 14*w + 1]', '[4109, 4109, 9*w^4 - 15*w^3 - 41*w^2 + 48*w + 13]', '[4109, 4109, 4*w^4 - 8*w^3 - 14*w^2 + 29*w - 11]', '[4109, 4109, -w^4 + 8*w^2 - 7]', '[4109, 4109, -2*w^4 + w^3 + 12*w^2 - 16]', '[4109, 4109, 2*w^4 - 5*w^3 - 6*w^2 + 20*w - 5]', '[4111, 4111, 5*w^4 - 6*w^3 - 21*w^2 + 13*w]', '[4117, 4117, 3*w^3 - 3*w^2 - 12*w + 11]', '[4127, 4127, -3*w^4 + 4*w^3 + 17*w^2 - 10*w - 15]', '[4129, 4129, -4*w^4 + 5*w^3 + 17*w^2 - 12*w - 2]', '[4129, 4129, 3*w^4 - 6*w^3 - 8*w^2 + 12*w - 1]', '[4133, 4133, 2*w^4 - 3*w^3 - 8*w^2 + 5*w - 2]', '[4135, 4135, 5*w^4 - 6*w^3 - 21*w^2 + 10*w + 2]', '[4135, 4135, w^4 - 4*w^3 + 2*w^2 + 9*w - 8]', '[4135, 4135, -7*w^4 + 12*w^3 + 33*w^2 - 39*w - 13]', '[4135, 4135, 2*w^4 - 4*w^3 - 9*w^2 + 18*w - 2]', '[4135, 4135, 5*w^4 - 8*w^3 - 21*w^2 + 23*w + 6]', '[4135, 4135, w^4 - 8*w^2 + 4*w - 2]', '[4139, 4139, 4*w^4 - 6*w^3 - 20*w^2 + 19*w + 7]', '[4141, 4141, 5*w^4 - 9*w^3 - 22*w^2 + 32*w + 4]', '[4141, 4141, -6*w^4 + 9*w^3 + 29*w^2 - 26*w - 16]', '[4145, 4145, 3*w^3 - 2*w^2 - 14*w - 3]', '[4145, 4145, 4*w^4 - 5*w^3 - 19*w^2 + 13*w + 11]', '[4145, 4145, -3*w^4 + 5*w^3 + 11*w^2 - 8*w - 5]', '[4145, 4145, -7*w^4 + 11*w^3 + 33*w^2 - 35*w - 12]', '[4145, 4145, 6*w^4 - 8*w^3 - 32*w^2 + 25*w + 23]', '[4145, 4145, -3*w^4 + 3*w^3 + 18*w^2 - 15*w - 10]', '[4151, 4151, -4*w^4 + w^3 + 21*w^2 + 7*w - 9]', '[4151, 4151, -w^4 - w^3 + 6*w^2 + 10*w - 4]', '[4153, 4153, -w^4 + 5*w^3 + w^2 - 20*w + 3]', '[4163, 4163, -4*w^4 + 8*w^3 + 14*w^2 - 29*w + 5]', '[4171, 4171, 2*w^4 - 3*w^3 - 13*w^2 + 18*w + 6]', '[4171, 4171, -w^4 + 5*w^3 + w^2 - 18*w - 1]', '[4175, 835, -4*w^4 + 5*w^3 + 19*w^2 - 10*w - 2]', '[4175, 835, -w^3 + 4*w^2 + 9*w - 6]', '[4175, 4175, 3*w^3 - 3*w^2 - 16*w + 9]', '[4175, 4175, -4*w^4 + 2*w^3 + 21*w^2 + 3*w - 7]', '[4175, 4175, 7*w^4 - 15*w^3 - 24*w^2 + 48*w - 15]', '[4175, 4175, -5*w^4 + 8*w^3 + 21*w^2 - 21*w + 4]', '[4177, 4177, -5*w^4 + 7*w^3 + 22*w^2 - 21*w - 1]', '[4177, 4177, 3*w^4 - 3*w^3 - 16*w^2 + 10*w + 9]', '[4192, 262, 2*w^2 - 10]', '[4192, 262, 2*w^4 - 12*w^2 - 6*w + 10]', '[4192, 262, -4*w^4 + 6*w^3 + 18*w^2 - 20*w + 2]', '[4195, 4195, -7*w^4 + 8*w^3 + 31*w^2 - 15*w - 6]', '[4195, 4195, -4*w^4 + 7*w^3 + 19*w^2 - 27*w - 5]', '[4205, 145, -12*w^4 + 17*w^3 + 58*w^2 - 52*w - 33]', '[4205, 145, -4*w^4 + 7*w^3 + 20*w^2 - 24*w - 14]', '[4211, 4211, 4*w^4 - 4*w^3 - 21*w^2 + 12*w + 16]', '[4217, 4217, 3*w^4 - 6*w^3 - 12*w^2 + 20*w + 5]', '[4229, 4229, -2*w^4 + 2*w^3 + 12*w^2 - 5*w - 9]', '[4229, 4229, 2*w^4 - 5*w^3 - 5*w^2 + 13*w + 1]', '[4229, 4229, 3*w^4 - 3*w^3 - 17*w^2 + 12*w + 12]', '[4231, 4231, 2*w^4 - 3*w^3 - 6*w^2 + 8*w - 4]', '[4235, 385, -3*w^4 + 4*w^3 + 13*w^2 - 9*w - 8]', '[4235, 385, 6*w^4 - 9*w^3 - 29*w^2 + 28*w + 11]', '[4235, 385, -6*w^4 + 9*w^3 + 26*w^2 - 27*w - 10]', '[4235, 385, -2*w^4 + w^3 + 14*w^2 - 5*w - 11]', '[4237, 4237, -3*w^4 + w^3 + 15*w^2 + 2*w + 4]', '[4237, 4237, -8*w^4 + 7*w^3 + 37*w^2 - 10*w]', '[4241, 4241, -w^4 + w^3 + 8*w^2 - 4*w - 9]', '[4243, 4243, -w^4 - w^3 + 6*w^2 + 6*w + 4]', '[4243, 4243, 2*w^4 - 2*w^3 - 11*w^2 + 11*w - 1]', '[4249, 4249, w^3 - 4*w^2 - w + 11]', '[4249, 4249, -5*w^4 + 10*w^3 + 21*w^2 - 34*w - 8]', '[4253, 4253, 2*w^3 - 4*w^2 - 8*w + 9]', '[4255, 4255, 4*w^3 - 3*w^2 - 19*w + 6]', '[4255, 4255, 5*w^4 - 8*w^3 - 20*w^2 + 25*w - 1]', '[4256, 266, 2*w^4 - 4*w^3 - 10*w^2 + 16*w + 2]', '[4256, 266, -2*w^4 + 2*w^3 + 10*w^2 - 2*w - 8]', '[4265, 4265, -6*w^4 + 11*w^3 + 26*w^2 - 38*w - 6]', '[4265, 4265, 2*w^4 - 5*w^3 - 8*w^2 + 16*w + 8]', '[4265, 4265, -8*w^4 + 9*w^3 + 37*w^2 - 20*w - 7]', '[4265, 4265, 8*w^4 - 11*w^3 - 40*w^2 + 36*w + 21]', '[4271, 4271, -w^4 + 2*w^3 + 7*w^2 - 8*w - 6]', '[4271, 4271, -3*w^4 + w^3 + 16*w^2 + w - 10]', '[4273, 4273, 4*w^4 - 8*w^3 - 17*w^2 + 31*w - 2]', '[4273, 4273, -2*w^4 + 3*w^3 + 10*w^2 - 12*w - 11]', '[4273, 4273, 4*w^4 - 5*w^3 - 20*w^2 + 17*w + 13]', '[4283, 4283, 3*w^4 - 4*w^3 - 14*w^2 + 8*w + 6]', '[4283, 4283, -4*w^4 + 5*w^3 + 20*w^2 - 19*w - 7]', '[4289, 4289, -3*w^4 + 5*w^3 + 9*w^2 - 9*w + 3]', '[4291, 4291, -2*w^4 + 3*w^3 + 6*w^2 - 6*w + 3]', '[4291, 4291, -4*w^4 + 6*w^3 + 16*w^2 - 14*w + 1]', '[4291, 4291, -7*w^4 + 10*w^3 + 33*w^2 - 33*w - 20]', '[4291, 4291, 5*w^4 - 10*w^3 - 22*w^2 + 33*w + 5]', '[4297, 4297, -w^4 + 5*w^3 + w^2 - 22*w + 7]', '[4297, 4297, w^3 - 10*w + 6]', '[4297, 4297, 3*w^4 - 5*w^3 - 13*w^2 + 13*w + 1]', '[4319, 4319, 3*w^4 - 7*w^3 - 10*w^2 + 20*w - 1]', '[4319, 4319, -2*w^4 + 2*w^3 + 11*w^2 - 8*w - 9]', '[4325, 865, -4*w^4 + 5*w^3 + 17*w^2 - 15*w + 1]', '[4325, 865, -4*w^4 + 3*w^3 + 17*w^2 - 7*w + 1]', '[4325, 4325, -3*w^4 - w^3 + 17*w^2 + 10*w - 7]', '[4325, 4325, -w^4 - 3*w^3 + 9*w^2 + 14*w - 9]', '[4325, 4325, -2*w^4 + 8*w^3 + 3*w^2 - 29*w + 11]', '[4325, 4325, -4*w^4 + 12*w^3 + 9*w^2 - 41*w + 17]', '[4327, 4327, -2*w^4 + w^3 + 8*w^2 + 3*w + 2]', '[4333, 4333, -2*w^4 + 5*w^3 + 6*w^2 - 18*w + 11]', '[4333, 4333, -3*w^4 + 7*w^3 + 12*w^2 - 25*w]', '[4339, 4339, -w^4 + 3*w^3 + 2*w^2 - 12*w + 1]', '[4343, 4343, -5*w^4 + 7*w^3 + 26*w^2 - 26*w - 9]', '[4343, 4343, 6*w^4 - 10*w^3 - 25*w^2 + 29*w + 4]', '[4343, 4343, 7*w^4 - 11*w^3 - 31*w^2 + 33*w + 16]', '[4343, 4343, -4*w^4 + 6*w^3 + 20*w^2 - 21*w - 13]', '[4351, 4351, 4*w^4 - 4*w^3 - 22*w^2 + 13*w + 9]', '[4363, 4363, -4*w^4 + 6*w^3 + 17*w^2 - 15*w - 3]', '[4373, 4373, 4*w^4 - 7*w^3 - 15*w^2 + 20*w - 1]', '[4373, 4373, w^4 - 2*w^3 - 6*w^2 + 12*w + 3]', '[4373, 4373, -5*w^4 + 7*w^3 + 22*w^2 - 20*w + 2]', '[4375, 35, -6*w^4 + 9*w^3 + 26*w^2 - 24*w - 7]', '[4375, 35, -7*w^4 + 10*w^3 + 33*w^2 - 28*w - 16]', '[4375, 35, -7*w^4 + 10*w^3 + 33*w^2 - 33*w - 6]', '[4375, 35, 9*w^4 - 11*w^3 - 44*w^2 + 31*w + 18]', '[4375, 175, -2*w^4 + 4*w^3 + 10*w^2 - 11*w - 8]', '[4375, 175, -4*w^4 + 4*w^3 + 19*w^2 - 6*w - 7]', '[4375, 875, 2*w^4 - 3*w^3 - 10*w^2 + 12*w + 8]', '[4375, 875, -2*w^4 + 5*w^3 + 7*w^2 - 15*w - 1]', '[4375, 875, -2*w^4 + 2*w^3 + 12*w^2 - 8*w - 11]', '[4375, 875, 2*w^4 - w^3 - 12*w^2 + 4*w + 6]', '[4375, 4375, w^4 - w^3 - 5*w^2 + 6*w - 5]', '[4375, 4375, 4*w^4 - 7*w^3 - 14*w^2 + 22*w - 5]', '[4375, 4375, 4*w^4 - 5*w^3 - 19*w^2 + 17*w + 6]', '[4375, 4375, w^4 - 3*w^3 - 4*w^2 + 14*w + 1]', '[4384, 274, -4*w^4 + 6*w^3 + 16*w^2 - 16*w]', '[4384, 274, -4*w^4 + 6*w^3 + 16*w^2 - 18*w - 4]', '[4384, 274, -4*w^4 + 6*w^3 + 18*w^2 - 14*w - 6]', '[4387, 4387, 4*w^4 - 8*w^3 - 15*w^2 + 23*w + 6]', '[4405, 4405, -3*w^4 + 3*w^3 + 13*w^2 - 4*w - 5]', '[4405, 4405, -w^4 + w^3 + 8*w^2 - 5*w - 8]', '[4409, 4409, -2*w^4 + w^3 + 12*w^2 - 6]', '[4415, 4415, 5*w^4 - 7*w^3 - 23*w^2 + 16*w + 18]', '[4415, 4415, w^4 - 3*w^2 - 7*w]', '[4415, 4415, -4*w^2 + 7*w + 7]', '[4415, 4415, -4*w^4 + 7*w^3 + 15*w^2 - 19*w - 3]', '[4417, 4417, 2*w^4 - w^3 - 10*w^2 + 4*w - 1]', '[4417, 4417, 4*w^4 - 4*w^3 - 20*w^2 + 10*w + 1]', '[4427, 4427, 2*w - 7]', '[4435, 4435, 3*w^4 - 4*w^3 - 16*w^2 + 15*w + 4]', '[4435, 4435, -3*w^4 + 18*w^2 + 4*w - 2]', '[4447, 4447, -2*w^4 + 3*w^3 + 6*w^2 - 4*w + 5]', '[4448, 278, 2*w^4 - 4*w^3 - 10*w^2 + 14*w]', '[4457, 4457, w^4 - 2*w^3 - 7*w^2 + 7*w + 7]', '[4457, 4457, -4*w^4 + 3*w^3 + 19*w^2 - 5*w + 1]', '[4463, 4463, -2*w^4 + 5*w^3 + 8*w^2 - 20*w + 3]', '[4465, 4465, 2*w^4 - 3*w^3 - 10*w^2 + 6*w + 6]', '[4465, 4465, 3*w^4 - 5*w^3 - 12*w^2 + 12*w + 1]', '[4475, 895, 4*w^4 - 5*w^3 - 16*w^2 + 15*w]', '[4475, 4475, 3*w^4 - 9*w^3 - 8*w^2 + 34*w - 15]', '[4475, 4475, w^4 + 2*w^3 - 7*w^2 - 11*w + 8]', '[4477, 407, 3*w^3 - 4*w^2 - 11*w + 12]', '[4481, 4481, -2*w^3 + 4*w^2 + 7*w - 7]', '[4483, 4483, -2*w^4 + w^3 + 11*w^2 - w + 1]', '[4487, 4487, 2*w^4 - 4*w^3 - 8*w^2 + 10*w - 5]', '[4487, 4487, 2*w^4 - 7*w^3 - 5*w^2 + 24*w - 8]', '[4487, 4487, 3*w^4 - 4*w^3 - 14*w^2 + 15*w + 9]', '[4487, 4487, -2*w^4 + 5*w^3 + 8*w^2 - 15*w - 2]', '[4489, 67, -w^3 + 9*w - 2]', '[4493, 4493, 2*w^4 - 4*w^3 - 7*w^2 + 13*w + 3]', '[4493, 4493, 5*w^4 - 6*w^3 - 24*w^2 + 18*w + 7]', '[4493, 4493, 3*w^3 - 3*w^2 - 11*w + 3]', '[4501, 4501, 8*w^4 - 13*w^3 - 34*w^2 + 44*w + 10]', '[4501, 4501, 3*w^4 - 5*w^3 - 12*w^2 + 17*w + 5]', '[4501, 4501, -w^3 + 5*w^2 + 5*w - 15]', '[4501, 4501, 3*w^2 - 2*w - 5]', '[4507, 4507, -2*w^4 + w^3 + 13*w^2 - 3*w - 16]', '[4513, 4513, 4*w^4 - 5*w^3 - 18*w^2 + 15*w]', '[4513, 4513, 4*w^4 - 5*w^3 - 18*w^2 + 15*w + 2]', '[4525, 905, w^4 - 3*w^3 - 4*w^2 + 7*w - 5]', '[4525, 4525, -w^4 + 4*w^3 + w^2 - 18*w + 6]', '[4525, 4525, 5*w^4 - 12*w^3 - 16*w^2 + 44*w - 14]', '[4529, 4529, -3*w^4 + 7*w^3 + 10*w^2 - 25*w + 3]', '[4529, 4529, -w^3 - 2*w^2 + 5*w + 9]', '[4535, 4535, 3*w^4 - 2*w^3 - 18*w^2 + 7*w + 17]', '[4535, 4535, w^4 - 2*w^3 - 5*w^2 + 4*w + 7]', '[4541, 4541, 2*w^3 - w^2 - 7*w + 8]', '[4547, 4547, -6*w^4 + 7*w^3 + 27*w^2 - 14*w - 6]', '[4549, 4549, 7*w^4 - 10*w^3 - 30*w^2 + 27*w + 1]', '[4549, 4549, w^3 - 3*w - 6]', '[4549, 4549, -5*w^4 + 9*w^3 + 20*w^2 - 25*w - 5]', '[4555, 4555, 3*w^4 - 6*w^3 - 11*w^2 + 16*w]', '[4555, 4555, -2*w^4 + w^3 + 9*w^2 + 5*w - 2]', '[4559, 4559, 2*w^4 - w^3 - 12*w^2 - w + 10]', '[4571, 4571, 5*w^4 - 6*w^3 - 22*w^2 + 20*w + 7]', '[4571, 4571, -w^4 + 2*w^3 + 6*w^2 - 3*w - 6]', '[4571, 4571, 3*w^4 - 4*w^3 - 14*w^2 + 15*w + 2]', '[4571, 4571, w - 6]', '[4577, 4577, 3*w^4 - 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w^3 - 12*w^2 + 3*w + 11]', '[5119, 5119, -6*w^4 + 7*w^3 + 27*w^2 - 15*w - 9]', '[5119, 5119, 4*w^4 - 5*w^3 - 17*w^2 + 12*w + 4]', '[5120, 20, 4*w^4 - 8*w^3 - 16*w^2 + 24*w + 4]', '[5120, 20, 4*w^4 - 4*w^3 - 20*w^2 + 12*w + 4]', '[5125, 205, 6*w^4 - 11*w^3 - 27*w^2 + 39*w + 9]', '[5125, 1025, -2*w^4 + 6*w^3 + 5*w^2 - 19*w + 2]', '[5125, 1025, 5*w^4 - 8*w^3 - 22*w^2 + 27*w + 3]', '[5125, 5125, -w^4 - 2*w^3 + 7*w^2 + 10*w - 1]', '[5125, 5125, -w^4 + 2*w^3 + 5*w^2 - 5*w - 8]', '[5129, 5129, 2*w^4 - 8*w^3 - 5*w^2 + 30*w - 7]', '[5129, 5129, 4*w^4 - 9*w^3 - 16*w^2 + 32*w + 1]', '[5131, 5131, w^3 + w^2 + w - 6]', '[5131, 5131, 4*w^4 - 5*w^3 - 17*w^2 + 19*w + 5]', '[5143, 5143, 5*w^4 - 9*w^3 - 18*w^2 + 32*w - 7]', '[5147, 5147, -2*w^4 + 12*w^2 + 3*w - 9]', '[5152, 322, 2*w^4 - 2*w^3 - 10*w^2 + 4*w - 2]', '[5152, 322, 6*w^4 - 6*w^3 - 28*w^2 + 14*w + 2]', '[5153, 5153, -w^4 + 8*w^2 + 2*w - 9]', '[5155, 5155, -w^4 + 3*w^3 - 8*w + 9]', '[5155, 5155, 3*w^4 - 2*w^3 - 14*w^2 - w + 6]', '[5155, 5155, -2*w^4 + w^3 + 11*w^2 - w - 11]', '[5155, 5155, 3*w^4 - 2*w^3 - 13*w^2 + w - 2]', '[5167, 5167, -5*w^4 + 7*w^3 + 24*w^2 - 25*w - 8]', '[5195, 5195, 4*w^4 - 5*w^3 - 21*w^2 + 12*w + 19]', '[5195, 5195, w^4 - w^3 - 7*w^2 + 6*w + 8]', '[5197, 5197, 4*w^4 - 7*w^3 - 20*w^2 + 24*w + 6]', '[5203, 473, -5*w^4 + 6*w^3 + 27*w^2 - 23*w - 13]', '[5203, 473, 4*w^4 - 5*w^3 - 19*w^2 + 12*w + 12]', '[5209, 5209, 7*w^4 - 5*w^3 - 35*w^2 + 3*w + 8]', '[5209, 5209, 3*w^4 - 6*w^3 - 14*w^2 + 16*w + 5]', '[5215, 5215, -4*w^4 + 4*w^3 + 19*w^2 - 10*w - 9]', '[5215, 5215, -w^4 + w^3 + 5*w^2 - 3*w + 4]', '[5215, 5215, -8*w^4 + 13*w^3 + 38*w^2 - 40*w - 15]', '[5215, 5215, -4*w^4 + 4*w^3 + 21*w^2 - 9*w - 16]', '[5215, 5215, 2*w^4 - 3*w^3 - 12*w^2 + 8*w + 8]', '[5215, 5215, w^4 - 2*w^3 - w^2 + 4*w - 5]', '[5215, 5215, 5*w^4 - 9*w^3 - 19*w^2 + 27*w - 2]', '[5215, 5215, 2*w^4 - 4*w^3 - 7*w^2 + 14*w + 2]', '[5215, 5215, -4*w^4 + 5*w^3 + 21*w^2 - 14*w - 12]', '[5215, 5215, 10*w^4 - 14*w^3 - 46*w^2 + 42*w + 17]', '[5215, 5215, 3*w^4 - 5*w^3 - 14*w^2 + 16*w + 1]', '[5215, 5215, -4*w^4 + 3*w^3 + 18*w^2 - w - 5]', '[5216, 326, -4*w^3 + 4*w^2 + 16*w - 10]', '[5227, 5227, -w^4 + 4*w^3 + 3*w^2 - 14*w - 3]', '[5227, 5227, -2*w^4 + w^3 + 11*w^2 - 3*w - 8]', '[5231, 5231, -2*w^4 + 3*w^3 + 9*w^2 - 9*w + 4]', '[5237, 5237, 2*w^4 - 2*w^3 - 14*w^2 + 7*w + 13]', '[5243, 749, 2*w^4 - 6*w^3 - 4*w^2 + 17*w - 1]', '[5243, 5243, w^4 - 2*w^3 - 7*w^2 + 9*w + 6]', '[5243, 5243, w^3 + 2*w^2 - 8*w - 7]', '[5245, 5245, -8*w^4 + 13*w^3 + 35*w^2 - 36*w - 20]', '[5245, 5245, -5*w^4 + 5*w^3 + 28*w^2 - 18*w - 11]', '[5255, 5255, 4*w^4 - 5*w^3 - 22*w^2 + 17*w + 13]', '[5255, 5255, -2*w^3 + 2*w^2 + 7*w + 4]', '[5255, 5255, -2*w^4 + 4*w^3 + 9*w^2 - 17*w - 1]', '[5255, 5255, -7*w^4 + 7*w^3 + 32*w^2 - 11*w - 5]', '[5261, 5261, w^4 - 2*w^3 - 5*w^2 + 11*w + 2]', '[5263, 5263, 5*w^4 - 4*w^3 - 23*w^2 + 3*w]', '[5263, 5263, -3*w^4 + 6*w^3 + 14*w^2 - 24*w - 5]', '[5267, 5267, 6*w^4 - 9*w^3 - 26*w^2 + 28*w + 8]', '[5273, 5273, -w^4 + 5*w^2 + 3*w - 7]', '[5275, 1055, -5*w^4 + 6*w^3 + 25*w^2 - 9*w]', '[5275, 5275, -w^4 + 7*w^3 - 2*w^2 - 31*w + 13]', '[5275, 5275, -6*w^4 + 2*w^3 + 33*w^2 + 9*w - 10]', '[5279, 5279, -3*w^4 + 7*w^3 + 11*w^2 - 23*w]', '[5281, 5281, 4*w^4 - 7*w^3 - 16*w^2 + 23*w - 8]', '[5281, 5281, 3*w^4 - 6*w^3 - 13*w^2 + 16*w + 4]', '[5285, 5285, -9*w^4 + 13*w^3 + 43*w^2 - 38*w - 21]', '[5285, 5285, 8*w^4 - 14*w^3 - 33*w^2 + 42*w + 6]', '[5285, 5285, 6*w^4 - 9*w^3 - 28*w^2 + 30*w + 8]', '[5285, 5285, 8*w^4 - 11*w^3 - 39*w^2 + 35*w + 20]', '[5305, 5305, -3*w^4 + 6*w^3 + 10*w^2 - 18*w]', '[5305, 5305, -3*w^4 + 3*w^3 + 16*w^2 - 9*w - 2]', '[5309, 5309, 3*w^2 - 8]', '[5309, 5309, -3*w^4 + 7*w^3 + 8*w^2 - 27*w + 12]', '[5327, 5327, 2*w^4 - 4*w^3 - 5*w^2 + 13*w - 9]', '[5327, 5327, 3*w^4 - 7*w^3 - 12*w^2 + 21*w - 2]', '[5329, 73, -w^4 + 2*w^3 + 5*w^2 - 9*w - 9]', '[5333, 5333, 3*w^4 - w^3 - 17*w^2 - w + 9]', '[5344, 334, 2*w^4 - 12*w^2 - 2*w + 6]', '[5344, 334, -4*w^4 + 6*w^3 + 16*w^2 - 20*w + 4]', '[5345, 5345, -7*w^4 + 7*w^3 + 34*w^2 - 17*w - 6]', '[5345, 5345, -5*w^4 + 10*w^3 + 20*w^2 - 32*w - 4]', '[5347, 5347, 2*w^4 - w^3 - 14*w^2 + w + 17]', '[5347, 5347, -7*w^4 + 7*w^3 + 33*w^2 - 16*w - 3]', '[5351, 5351, -w^4 - 2*w^3 + 10*w^2 + 4*w - 5]', '[5351, 5351, -w^4 - w^3 + 6*w^2 + 8*w - 7]', '[5351, 5351, 4*w^4 - 4*w^3 - 21*w^2 + 13*w + 3]', '[5359, 5359, -5*w^4 + 11*w^3 + 20*w^2 - 37*w + 3]', '[5371, 5371, -w^4 + 2*w^3 + 2*w^2 - 7*w + 12]', '[5371, 5371, -4*w^4 + 4*w^3 + 22*w^2 - 9*w - 19]', '[5371, 5371, 3*w^4 - 7*w^3 - 12*w^2 + 28*w - 4]', '[5375, 215, -8*w^4 + 11*w^3 + 40*w^2 - 37*w - 15]', '[5375, 215, 9*w^4 - 13*w^3 - 40*w^2 + 36*w + 10]', '[5375, 1075, 4*w^4 - 8*w^3 - 16*w^2 + 27*w - 5]', '[5375, 1075, 3*w^4 - 5*w^3 - 15*w^2 + 15*w + 12]', '[5375, 1075, -3*w^4 + 5*w^3 + 16*w^2 - 20*w - 6]', '[5375, 1075, 3*w^4 - 7*w^3 - 11*w^2 + 23*w + 1]', '[5375, 5375, w^3 - 4*w^2 - 5*w + 9]', '[5375, 5375, -3*w^4 + 2*w^3 + 17*w^2 - 5*w - 9]', '[5375, 5375, -3*w^4 + 5*w^3 + 14*w^2 - 14*w]', '[5375, 5375, -3*w^4 + 3*w^3 + 13*w^2 - 8*w - 7]', '[5377, 5377, -2*w^4 + 5*w^3 + 5*w^2 - 10*w - 7]', '[5383, 5383, -7*w^4 + 13*w^3 + 28*w^2 - 44*w - 2]', '[5383, 5383, -3*w^4 + 8*w^3 + 6*w^2 - 28*w + 19]', '[5387, 5387, w^4 - 2*w^3 - w^2 + 6*w - 7]', '[5387, 5387, -w^4 + 3*w^3 + 2*w^2 - 8*w + 7]', '[5393, 5393, -2*w^4 + 5*w^3 + 7*w^2 - 14*w - 2]', '[5393, 5393, -4*w^4 + 5*w^3 + 18*w^2 - 10*w - 2]', '[5393, 5393, -5*w^4 + 7*w^3 + 21*w^2 - 17*w]', '[5405, 5405, 8*w^4 - 13*w^3 - 36*w^2 + 43*w + 18]', '[5405, 5405, 3*w^4 - 6*w^3 - 13*w^2 + 21*w + 10]', '[5419, 5419, -4*w^4 + 6*w^3 + 15*w^2 - 16*w + 6]', '[5431, 5431, -3*w^4 + 5*w^3 + 14*w^2 - 13*w - 11]', '[5437, 5437, -2*w^4 + 5*w^3 + 7*w^2 - 19*w - 2]', '[5443, 5443, 4*w^4 - 7*w^3 - 18*w^2 + 20*w + 5]', '[5449, 5449, w^4 + 2*w^3 - 7*w^2 - 10*w + 2]', '[5449, 5449, 3*w^4 - 6*w^3 - 11*w^2 + 19*w + 2]', '[5449, 5449, -4*w^4 + 7*w^3 + 15*w^2 - 21*w + 1]', '[5453, 5453, 2*w^4 - 4*w^3 - 8*w^2 + 13*w + 7]', '[5453, 5453, -w^4 + 2*w^3 + 7*w^2 - 12*w - 2]', '[5479, 5479, 6*w^4 - 11*w^3 - 24*w^2 + 34*w - 4]', '[5479, 5479, 5*w^4 - 8*w^3 - 21*w^2 + 28*w + 4]', '[5485, 5485, 12*w^4 - 17*w^3 - 60*w^2 + 55*w + 32]', '[5485, 5485, -2*w^4 + 5*w^3 + 7*w^2 - 14*w - 3]', '[5485, 5485, 4*w^4 - 8*w^3 - 17*w^2 + 25*w + 13]', '[5485, 5485, -6*w^4 + 9*w^3 + 28*w^2 - 32*w - 8]', '[5495, 5495, w^4 - 3*w^3 - w^2 + 8*w - 9]', '[5495, 5495, -4*w^4 + 7*w^3 + 17*w^2 - 25*w - 3]', '[5495, 5495, 3*w^4 - 7*w^3 - 12*w^2 + 24*w + 3]', '[5495, 5495, 3*w^4 - 7*w^3 - 9*w^2 + 26*w - 16]', '[5497, 5497, -2*w^3 + 5*w^2 + 4*w - 6]', '[5501, 5501, -6*w^4 + 9*w^3 + 27*w^2 - 24*w - 10]', '[5501, 5501, -5*w^4 + 9*w^3 + 21*w^2 - 28*w - 9]', '[5503, 5503, -5*w^4 + 9*w^3 + 23*w^2 - 32*w - 7]', '[5509, 5509, -6*w^4 + 9*w^3 + 24*w^2 - 22*w + 4]', '[5509, 5509, -4*w^4 + 6*w^3 + 14*w^2 - 15*w + 4]', '[5513, 5513, -6*w^4 + 13*w^3 + 22*w^2 - 42*w + 10]', '[5513, 5513, 3*w^3 - 6*w^2 - 14*w + 17]', '[5513, 5513, -w^3 - 2*w^2 + 13*w - 3]', '[5515, 5515, 5*w^4 - 7*w^3 - 23*w^2 + 19*w + 14]', '[5515, 5515, 2*w^4 - 3*w^3 - 6*w^2 + 5*w - 4]', '[5515, 5515, 4*w^4 - 8*w^3 - 16*w^2 + 29*w - 1]', '[5515, 5515, -w^3 - 2*w^2 + 8*w + 5]', '[5515, 5515, 6*w^4 - 7*w^3 - 27*w^2 + 15*w + 3]', '[5515, 5515, -2*w^3 + 2*w^2 + 11*w - 12]', '[5527, 5527, 4*w^4 - 8*w^3 - 18*w^2 + 31*w + 4]', '[5531, 5531, 3*w^4 - 2*w^3 - 17*w^2 + 4*w + 6]', '[5531, 5531, -2*w^4 + 5*w^3 + 8*w^2 - 15*w - 4]', '[5536, 346, -2*w^3 + 2*w^2 + 12*w - 8]', '[5536, 346, -2*w^3 + 2*w^2 + 12*w - 4]', '[5545, 5545, 2*w^4 - 2*w^3 - 10*w^2 + 6*w - 3]', '[5545, 5545, w^4 - 4*w^3 + w^2 + 13*w - 11]', '[5557, 5557, 5*w^4 - 5*w^3 - 23*w^2 + 13*w]', '[5567, 5567, -2*w^4 + w^3 + 11*w^2 + 2*w - 8]', '[5569, 5569, 7*w^4 - 12*w^3 - 31*w^2 + 40*w + 5]', '[5569, 5569, -2*w^4 + 5*w^3 + 5*w^2 - 17*w + 4]', '[5569, 5569, 2*w^4 - 3*w^3 - 10*w^2 + 6*w + 7]', '[5573, 5573, -w^4 + w^3 + 6*w^2 + w - 5]', '[5575, 1115, -6*w^4 + 5*w^3 + 26*w^2 - 10*w + 2]', '[5575, 1115, -2*w^4 + w^3 + 8*w^2 + w + 5]', '[5575, 5575, -2*w^4 - 2*w^3 + 12*w^2 + 15*w - 5]', '[5575, 5575, -5*w^4 - w^3 + 28*w^2 + 16*w - 11]', '[5575, 5575, -3*w^4 + 9*w^3 + 9*w^2 - 35*w + 9]', '[5575, 5575, -3*w^4 + 12*w^3 + 5*w^2 - 46*w + 17]', '[5585, 5585, 2*w^4 - 5*w^3 - 3*w^2 + 17*w - 11]', '[5585, 5585, -3*w^4 + 5*w^3 + 15*w^2 - 21*w - 4]', '[5585, 5585, -w^3 + w^2 + 5*w + 4]', '[5585, 5585, w^4 - 2*w^3 - 5*w^2 + 7*w - 4]', '[5585, 5585, -6*w^4 + 7*w^3 + 26*w^2 - 12*w - 5]', '[5585, 5585, 3*w^4 - 4*w^3 - 17*w^2 + 12*w + 12]', '[5587, 5587, -8*w^4 + 15*w^3 + 31*w^2 - 49*w + 4]', '[5589, 69, 3*w^2 - 9]', '[5600, 70, -4*w^3 + 4*w^2 + 16*w - 6]', '[5600, 70, -2*w^3 + 4*w^2 + 8*w - 6]', '[5600, 350, 4*w^4 - 8*w^3 - 16*w^2 + 24*w + 6]', '[5600, 350, -4*w^4 + 6*w^3 + 16*w^2 - 20*w + 2]', '[5600, 350, -2*w^4 + 4*w^3 + 10*w^2 - 12*w]', '[5600, 350, -2*w^4 + 2*w^3 + 8*w^2 - 6*w + 4]', '[5615, 5615, -5*w^4 + 6*w^3 + 27*w^2 - 22*w - 14]', '[5615, 5615, 3*w^3 - 3*w^2 - 9*w - 4]', '[5617, 5617, -4*w^4 + 8*w^3 + 17*w^2 - 24*w - 9]', '[5617, 5617, 6*w^4 - 10*w^3 - 25*w^2 + 31*w + 8]', '[5617, 5617, -3*w^4 + 7*w^3 + 10*w^2 - 23*w + 1]', '[5623, 5623, w^4 - 4*w^3 - 3*w^2 + 13*w - 1]', '[5633, 5633, -w^4 + w^3 + 8*w^2 - 5*w - 15]', '[5633, 5633, 6*w^4 - 10*w^3 - 23*w^2 + 27*w - 2]', '[5633, 5633, 5*w^4 - 8*w^3 - 23*w^2 + 24*w + 15]', '[5633, 5633, -3*w^4 + 3*w^3 + 18*w^2 - 16*w - 3]', '[5633, 5633, 3*w^4 - 19*w^2 - 5*w + 14]', '[5633, 5633, -4*w^4 + 5*w^3 + 18*w^2 - 10*w - 10]', '[5635, 805, w^4 - 2*w^3 - 6*w^2 + 6*w + 9]', '[5635, 805, 2*w^4 - 6*w^3 - 6*w^2 + 21*w - 2]', '[5635, 5635, -5*w^4 + 6*w^3 + 22*w^2 - 12*w - 2]', '[5635, 5635, -w^4 + 8*w^2 + w - 8]', '[5635, 5635, -3*w^4 + 6*w^3 + 12*w^2 - 23*w + 2]', '[5635, 5635, -4*w^4 + 7*w^3 + 19*w^2 - 22*w - 5]', '[5639, 5639, -w^4 + 4*w^2 + 9*w - 4]', '[5639, 5639, -2*w^3 + 5*w^2 + 4*w - 5]', '[5639, 5639, -2*w^4 + 6*w^3 + 5*w^2 - 19*w + 4]', '[5647, 5647, -3*w^4 + 6*w^3 + 14*w^2 - 22*w - 5]', '[5657, 5657, -w^4 + 3*w^3 + w^2 - 10*w + 2]', '[5657, 5657, w^4 - w^3 - 4*w^2 + 4*w - 6]', '[5659, 5659, 4*w^4 - 7*w^3 - 17*w^2 + 22*w - 2]', '[5659, 5659, 3*w^4 - 6*w^3 - 11*w^2 + 20*w - 9]', '[5663, 5663, -2*w^4 + 2*w^3 + 9*w^2 - 7*w - 8]', '[5663, 5663, 2*w^4 - 5*w^3 - 9*w^2 + 18*w - 1]', '[5683, 5683, 2*w^4 - w^3 - 13*w^2 + 3*w + 9]', '[5687, 517, -5*w^4 + 8*w^3 + 24*w^2 - 29*w - 11]', '[5689, 5689, -3*w^4 + 6*w^3 + 13*w^2 - 20*w + 2]', '[5689, 5689, -3*w^4 + 8*w^3 + 6*w^2 - 29*w + 17]', '[5699, 5699, 3*w^4 - 6*w^3 - 14*w^2 + 22*w + 1]', '[5701, 5701, 2*w^3 - 3*w^2 - 9*w + 2]', '[5705, 5705, 3*w^4 - 6*w^3 - 13*w^2 + 17*w]', '[5705, 5705, -2*w^4 + 8*w^3 + 2*w^2 - 29*w + 15]', '[5705, 5705, 2*w^3 - 3*w^2 - 11*w + 8]', '[5705, 5705, -5*w^4 + 6*w^3 + 22*w^2 - 17*w - 2]', '[5711, 5711, 4*w^4 - 4*w^3 - 19*w^2 + 13*w + 9]', '[5711, 5711, -w^4 + 4*w^3 + w^2 - 12*w - 2]', '[5711, 5711, w^4 + 2*w^3 - 6*w^2 - 10*w + 1]', '[5717, 5717, 4*w^4 - 6*w^3 - 16*w^2 + 17*w]', '[5719, 5719, -4*w^4 + 8*w^3 + 16*w^2 - 26*w + 5]', '[5719, 5719, 2*w^4 - 4*w^3 - 7*w^2 + 15*w + 2]', '[5719, 5719, 4*w^4 - 8*w^3 - 15*w^2 + 24*w + 4]', '[5719, 5719, -w^4 - 2*w^3 + 8*w^2 + 8*w - 3]', '[5725, 1145, 4*w^4 - 4*w^3 - 18*w^2 + 11*w + 8]', '[5725, 5725, -4*w^4 + 7*w^3 + 15*w^2 - 20*w]', '[5725, 5725, 4*w^4 - 5*w^3 - 17*w^2 + 13*w + 3]', '[5728, 358, 2*w^3 - 4*w^2 - 8*w + 8]', '[5737, 5737, -5*w^4 + 9*w^3 + 23*w^2 - 33*w - 5]', '[5747, 5747, 10*w^4 - 15*w^3 - 48*w^2 + 45*w + 25]', '[5747, 5747, -7*w^4 + 11*w^3 + 32*w^2 - 37*w - 9]', '[5747, 5747, 2*w^4 - 11*w^2 + w + 11]', '[5747, 5747, -4*w^4 + 10*w^3 + 14*w^2 - 30*w + 5]', '[5749, 5749, -5*w^4 + 4*w^3 + 24*w^2 - 4*w + 1]', '[5749, 5749, -3*w^4 + 7*w^3 + 12*w^2 - 23*w - 1]', '[5755, 5755, -w^4 + w^3 + 8*w^2 - 6*w - 10]', '[5755, 5755, 6*w^4 - 8*w^3 - 29*w^2 + 23*w + 18]', '[5765, 5765, -8*w^4 + 14*w^3 + 35*w^2 - 47*w - 10]', '[5765, 5765, 7*w^4 - 11*w^3 - 30*w^2 + 32*w + 4]', '[5773, 5773, 4*w^4 - 7*w^3 - 18*w^2 + 22*w + 2]', '[5779, 5779, w^3 - 4*w^2 - 2*w + 9]', '[5783, 5783, -2*w^4 + 5*w^3 + 7*w^2 - 20*w + 2]', '[5789, 5789, -4*w^4 + 7*w^3 + 16*w^2 - 25*w + 5]', '[5789, 5789, 2*w^4 - w^3 - 11*w^2 + 4*w + 8]', '[5789, 5789, -3*w^4 + 7*w^3 + 7*w^2 - 21*w + 10]', '[5789, 5789, w^4 - 7*w^2 - 4*w + 8]', '[5789, 5789, -3*w^4 + 6*w^3 + 10*w^2 - 20*w + 2]', '[5789, 5789, -3*w^4 + 6*w^3 + 11*w^2 - 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7]', '[5971, 5971, 10*w^4 - 17*w^3 - 46*w^2 + 54*w + 20]', '[5971, 5971, 7*w^4 - 12*w^3 - 29*w^2 + 39*w]', '[5971, 5971, -4*w^4 + 5*w^3 + 21*w^2 - 17*w - 15]', '[5971, 5971, -6*w^4 + 7*w^3 + 31*w^2 - 18*w - 19]', '[5975, 1195, -2*w^4 + 2*w^3 + 12*w^2 - 8*w - 1]', '[5975, 5975, -3*w^4 + 6*w^3 + 9*w^2 - 17*w + 1]', '[5975, 5975, 2*w^4 - 3*w^3 - 6*w^2 + 10*w + 1]', '[5977, 5977, 4*w^4 - 7*w^3 - 15*w^2 + 20*w + 1]', '[5977, 5977, -3*w^4 + 3*w^3 + 17*w^2 - 16*w - 5]', '[5981, 5981, -5*w^4 + 8*w^3 + 23*w^2 - 30*w - 4]', '[5987, 5987, 3*w^4 - 4*w^3 - 11*w^2 + 7*w - 5]', '[6007, 6007, w^4 - 8*w^2 - 3*w + 8]', '[6007, 6007, -3*w^4 + 5*w^3 + 9*w^2 - 12*w + 4]', '[6029, 6029, -4*w^4 + 5*w^3 + 20*w^2 - 18*w - 6]', '[6031, 6031, 7*w^4 - 18*w^3 - 19*w^2 + 65*w - 26]', '[6043, 6043, w^4 - 5*w^3 + w^2 + 19*w - 10]', '[6049, 6049, 6*w^4 - 11*w^3 - 27*w^2 + 37*w + 9]', '[6049, 6049, w^3 + 4*w^2 + w - 7]', '[6055, 6055, -w^4 + 4*w^3 + 3*w^2 - 22*w + 12]', '[6055, 6055, -w^4 + 4*w^3 + 3*w^2 - 20*w + 6]', '[6055, 6055, 3*w^4 - 4*w^3 - 14*w^2 + 15*w + 1]', '[6055, 6055, -4*w^4 + 6*w^3 + 17*w^2 - 15*w - 2]', '[6055, 6055, w^4 - 4*w^2 + w - 3]', '[6055, 6055, -2*w^4 + 2*w^3 + 9*w^2 - w + 2]', '[6055, 6055, 3*w^3 - 5*w^2 - 8*w + 7]', '[6055, 6055, 3*w^3 - 3*w^2 - 10*w + 3]', '[6065, 6065, 5*w^4 - 6*w^3 - 26*w^2 + 20*w + 16]', '[6065, 6065, w^4 - 3*w^3 - 4*w^2 + 9*w + 6]', '[6067, 6067, 5*w^4 - 10*w^3 - 20*w^2 + 31*w - 4]', '[6067, 6067, 4*w^4 - 8*w^3 - 18*w^2 + 30*w + 5]', '[6067, 6067, 5*w^4 - 8*w^3 - 22*w^2 + 22*w]', '[6075, 15, 3*w^3 - 12*w]', '[6075, 75, -3*w^4 + 6*w^3 + 9*w^2 - 18*w + 9]', '[6075, 75, 3*w^4 - 3*w^3 - 12*w^2 + 6*w - 3]', '[6079, 6079, -4*w^4 + 8*w^3 + 15*w^2 - 28*w]', '[6079, 6079, -5*w^4 + 6*w^3 + 23*w^2 - 20*w - 8]', '[6085, 6085, 4*w^4 - 2*w^3 - 20*w^2 + w]', '[6085, 6085, -2*w^4 + w^3 + 12*w^2 - 3*w - 9]', '[6089, 6089, w^4 - 5*w^3 - w^2 + 21*w - 11]', '[6089, 6089, 2*w^4 - 5*w^3 - 9*w^2 + 18*w + 2]', '[6101, 6101, -5*w^4 + 10*w^3 + 22*w^2 - 32*w - 6]', '[6109, 6109, -4*w^4 + 8*w^3 + 15*w^2 - 27*w]', '[6109, 6109, -3*w^4 + 3*w^3 + 12*w^2 - 4*w + 2]', '[6109, 6109, 5*w^4 - 7*w^3 - 25*w^2 + 22*w + 19]', '[6113, 6113, -6*w^4 + 9*w^3 + 29*w^2 - 31*w - 8]', '[6115, 6115, -6*w^4 + 6*w^3 + 29*w^2 - 11*w - 11]', '[6115, 6115, -4*w^4 + 5*w^3 + 22*w^2 - 17*w - 18]', '[6121, 6121, -6*w^4 + 8*w^3 + 27*w^2 - 22*w - 1]', '[6121, 6121, -4*w^4 + 8*w^3 + 19*w^2 - 27*w - 4]', '[6125, 35, 3*w^4 - 8*w^3 - 11*w^2 + 32*w - 3]', '[6125, 175, w^4 + w^3 - 8*w^2 - 4*w + 11]', '[6125, 175, -3*w^4 + 2*w^3 + 14*w^2 - 3*w + 2]', '[6125, 245, 2*w^4 - 4*w^3 - 10*w^2 + 13*w + 10]', '[6125, 245, 2*w^3 + w^2 - 10*w - 12]', '[6125, 875, 2*w^4 - 3*w^3 - 8*w^2 + 11*w - 7]', '[6125, 875, -3*w^4 + 2*w^3 + 15*w^2 - 5*w - 8]', '[6125, 1225, 2*w^3 - w^2 - 13*w + 4]', '[6125, 1225, -3*w^4 + 4*w^3 + 15*w^2 - 11*w - 2]', '[6125, 1225, w^4 - 2*w^3 - 3*w^2 + 3*w - 4]', '[6125, 1225, -6*w^4 + 10*w^3 + 27*w^2 - 30*w - 7]', '[6125, 6125, 3*w^4 - 5*w^3 - 14*w^2 + 18*w - 1]', '[6125, 6125, 3*w^4 - 6*w^3 - 12*w^2 + 17*w - 1]', '[6125, 6125, -2*w^4 + 13*w^2 + 3*w - 6]', '[6125, 6125, -2*w^4 + 3*w^3 + 8*w^2 - 13*w - 2]', '[6133, 6133, -w^4 + 2*w^3 + 4*w^2 - 7*w - 6]', '[6157, 6157, 4*w^4 - 7*w^3 - 17*w^2 + 24*w - 6]', '[6157, 6157, 4*w^4 - 7*w^3 - 15*w^2 + 17*w + 2]', '[6157, 6157, -5*w^4 + 8*w^3 + 20*w^2 - 24*w - 7]', '[6161, 6161, -6*w^4 + 7*w^3 + 26*w^2 - 18*w - 1]', '[6161, 6161, -3*w^4 + 4*w^3 + 15*w^2 - 11*w - 14]', '[6163, 6163, -3*w^4 + 7*w^3 + 12*w^2 - 25*w + 3]', '[6167, 6167, -5*w^4 + 7*w^3 + 21*w^2 - 22*w - 5]', '[6167, 6167, w^3 - 4*w^2 - 4*w + 8]', '[6173, 6173, -3*w^4 + 4*w^3 + 18*w^2 - 14*w - 12]', '[6179, 6179, -8*w^4 + 18*w^3 + 28*w^2 - 60*w + 19]', '[6179, 6179, w^4 - 5*w^3 + w^2 + 20*w - 11]', '[6181, 6181, -w^4 + 7*w^2 + 4*w - 16]', '[6181, 6181, 3*w^4 - 6*w^3 - 10*w^2 + 19*w - 1]', '[6181, 6181, 8*w^4 - 14*w^3 - 36*w^2 + 47*w + 11]', '[6181, 6181, -w^4 + 2*w^3 + 7*w^2 - 7*w - 8]', '[6185, 6185, -4*w^4 + 5*w^3 + 16*w^2 - 7*w - 6]', '[6185, 6185, -2*w^4 + 2*w^3 + 14*w^2 - 11*w - 10]', '[6191, 6191, -9*w^4 + 16*w^3 + 39*w^2 - 51*w - 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9]', '[8335, 8335, -w^4 + 3*w^2 + 9*w + 1]', '[8335, 8335, 8*w^4 - 8*w^3 - 35*w^2 + 8*w + 5]', '[8335, 8335, 5*w^4 - 6*w^3 - 23*w^2 + 18*w - 1]', '[8335, 8335, 5*w^4 - 9*w^3 - 20*w^2 + 24*w + 6]', '[8341, 8341, 8*w^4 - 7*w^3 - 38*w^2 + 14*w + 3]', '[8341, 8341, -2*w^4 + 3*w^3 + 10*w^2 - 10*w - 11]', '[8341, 8341, -3*w^4 + 2*w^3 + 17*w^2 - 2*w - 9]', '[8345, 8345, -w^3 + 2*w^2 + w - 7]', '[8345, 8345, 2*w^4 - w^3 - 10*w^2 - 4*w + 7]', '[8353, 8353, w^4 - w^3 - 8*w^2 + 5*w + 12]', '[8357, 8357, -4*w^4 + 6*w^3 + 18*w^2 - 18*w + 1]', '[8357, 8357, 2*w^4 - 6*w^3 - 6*w^2 + 21*w + 2]', '[8357, 8357, -w^4 + 3*w^3 + w^2 - 9*w]', '[8363, 8363, 3*w^4 - 8*w^3 - 10*w^2 + 28*w - 2]', '[8365, 8365, 4*w^4 - 7*w^3 - 13*w^2 + 22*w - 4]', '[8365, 8365, 4*w^2 + 2*w - 7]', '[8365, 8365, -w^4 - w^3 + 4*w^2 + 8*w - 3]', '[8365, 8365, -3*w^4 + 6*w^3 + 13*w^2 - 20*w + 3]', '[8377, 8377, w^4 - 5*w^2 - 7*w + 2]', '[8389, 8389, -w^4 + w^3 + 8*w^2 - 10*w - 6]', '[8389, 8389, 3*w^4 - 6*w^3 - 11*w^2 + 17*w + 8]', '[8405, 205, 2*w^4 - 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3]', '[587, 587, 3*w^4 - 6*w^3 - 12*w^2 + 19*w + 2]', '[587, 587, w^3 - 7*w]', '[593, 593, -3*w^4 + 2*w^3 + 15*w^2 - 3*w - 5]', '[607, 607, 3*w^4 - 4*w^3 - 14*w^2 + 11*w + 9]', '[613, 613, -w^3 + w^2 + 4*w - 6]', '[613, 613, -3*w^4 + 3*w^3 + 15*w^2 - 8*w - 8]', '[617, 617, -w^4 + w^3 + 4*w^2 - 4]', '[619, 619, -3*w^4 + 5*w^3 + 12*w^2 - 14*w + 1]', '[631, 631, -w^3 + w^2 + 2*w - 4]', '[641, 641, 2*w^4 - 2*w^3 - 9*w^2 + 4*w + 4]', '[641, 641, -w^4 - w^3 + 6*w^2 + 7*w - 5]', '[643, 643, 2*w^4 - 5*w^3 - 8*w^2 + 17*w - 2]', '[643, 643, 2*w^4 - 2*w^3 - 10*w^2 + 7*w + 2]', '[647, 647, 3*w^4 - 3*w^3 - 15*w^2 + 6*w + 2]', '[653, 653, w^4 - 2*w^3 - 3*w^2 + 7*w + 1]', '[653, 653, 3*w^4 - 4*w^3 - 13*w^2 + 9*w + 2]', '[661, 661, -4*w^4 + 7*w^3 + 18*w^2 - 22*w - 4]', '[673, 673, w^4 - 6*w^2 + 6]', '[673, 673, -3*w - 2]', '[673, 673, -2*w^4 + 2*w^3 + 11*w^2 - 7*w - 2]', '[677, 677, 3*w^4 - 5*w^3 - 12*w^2 + 15*w + 2]', '[683, 683, -2*w^4 + 3*w^3 + 10*w^2 - 12*w - 6]', '[691, 691, -2*w^4 + 3*w^3 + 11*w^2 - 10*w - 4]', '[701, 701, w^2 - 2*w - 4]', '[709, 709, -w^3 - w^2 + 4*w + 5]', '[709, 709, 2*w^4 - 2*w^3 - 10*w^2 + 5*w + 8]', '[719, 719, 3*w^4 - 5*w^3 - 12*w^2 + 15*w + 1]', '[719, 719, 2*w^3 - 2*w^2 - 7*w + 2]', '[727, 727, 3*w^4 - 6*w^3 - 13*w^2 + 22*w + 2]', '[727, 727, w^4 + w^3 - 7*w^2 - 8*w + 3]', '[727, 727, -3*w^4 + 5*w^3 + 12*w^2 - 13*w - 2]', '[733, 733, 2*w^4 - 3*w^3 - 7*w^2 + 8*w + 1]', '[761, 761, 3*w^4 - 4*w^3 - 13*w^2 + 12*w]', '[769, 769, -4*w^4 + 7*w^3 + 16*w^2 - 23*w + 2]', '[787, 787, 2*w^4 - 5*w^3 - 7*w^2 + 17*w - 7]', '[809, 809, -w^4 + 6*w^2 - 4]', '[821, 821, w^3 - 5*w + 5]', '[821, 821, -2*w^4 + 3*w^3 + 11*w^2 - 11*w - 8]', '[827, 827, 2*w^4 - 2*w^3 - 10*w^2 + 3*w + 5]', '[827, 827, -2*w^4 + 3*w^3 + 7*w^2 - 7*w + 3]', '[827, 827, -2*w^4 + 3*w^3 + 9*w^2 - 12*w + 2]', '[829, 829, 4*w^4 - 7*w^3 - 17*w^2 + 24*w + 3]', '[829, 829, -w^4 + 2*w^3 + 6*w^2 - 9*w - 2]', '[829, 829, -3*w^4 + 3*w^3 + 15*w^2 - 8*w - 7]', '[839, 839, w^4 - w^3 - 3*w^2 - 4]', '[841, 29, -6*w^4 + 10*w^3 + 27*w^2 - 31*w - 8]', '[853, 853, 4*w^4 - 6*w^3 - 19*w^2 + 19*w + 6]', '[853, 853, w^4 - w^3 - 3*w^2 + w - 6]', '[881, 881, -w^4 + 2*w^3 + 4*w^2 - 9*w]', '[883, 883, -w^4 + w^3 + 5*w^2 - 4]', '[883, 883, 4*w^4 - 7*w^3 - 16*w^2 + 20*w + 2]', '[887, 887, 2*w^4 - 5*w^3 - 6*w^2 + 15*w - 2]', '[907, 907, 3*w^4 - 6*w^3 - 13*w^2 + 20*w]', '[911, 911, w^4 - 5*w^2 - 3*w + 4]', '[919, 919, 4*w^4 - 7*w^3 - 16*w^2 + 21*w + 3]', '[929, 929, w^4 - 7*w^2 - 3*w + 4]', '[937, 937, -2*w^4 + 2*w^3 + 9*w^2 - 7*w]', '[937, 937, w^4 - 3*w^3 - 5*w^2 + 13*w + 4]', '[947, 947, w^4 - 3*w^3 - w^2 + 11*w - 7]', '[953, 953, 3*w^4 - 4*w^3 - 12*w^2 + 11*w - 1]', '[977, 977, 2*w^4 - 2*w^3 - 11*w^2 + 6*w + 2]', '[983, 983, -2*w^4 + 3*w^3 + 8*w^2 - 11*w + 4]', '[983, 983, w^3 + w^2 - 3*w - 4]', '[997, 997, -w^4 + 4*w^2 + 4*w - 1]']} -
nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, 0, 7, -4, -2, 1], 'conductor': 0, 'degree': 5, 'dirichlet_group': [], 'disc_abs': 180769, 'disc_rad': 180769, 'disc_sign': 1, 'frobs': [[2, [[5, 1]]], [3, [[5, 1]]], [5, [[3, 1], [1, 2]]], [7, [[3, 1], [1, 2]]], [11, [[3, 1], [2, 1]]], [13, [[5, 1]]], [17, [[5, 1]]], [19, [[4, 1], [1, 1]]], [23, [[2, 2], [1, 1]]], [29, [[3, 1], [2, 1]]], [31, [[5, 1]]], [37, [[4, 1], [1, 1]]], [41, [0]], [43, [[3, 1], [1, 2]]], [47, [[2, 2], [1, 1]]], [53, [[3, 1], [2, 1]]], [59, [[3, 1], [2, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [60, 60], 'galois_label': '5T5', 'galt': 5, 'grd': 425.1693780130455, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '5.5.180769.1', 'local_algs': ['41.2.1.2', '41.3.0.1', 'm4409.2.1.1', 'm4409.1.3.0'], 'monogenic': 1, 'num_ram': 2, 'r2': 0, 'ramps': [41, 4409], 'rd': 11.2570550811, 'regulator': {'__RealLiteral__': 0, 'data': '9.64320519613', 'prec': 44}, 'res': {'sib': ['-10429,-55911,-35536,180019,154460,-165657,-102408,66060,25744,-12771,-2941,1234,154,-57,-3,1', '-1568547309323,-2142372113444,8419863920475,10980722294622,-17175191692028,-21879839288628,17889558670958,22361701750066,-11085297585775,-13319737475804,4508781950021,4973184345420,-1279243470450,-1216481869588,260485781980,200521873178,-38286304083,-22666406708,4043328459,1769204996,-303755539,-94833746,15959610,3413974,-569315,-78562,13063,1040,-173,-6,1', '-1609218,-138391,53739,954,-427,-1,1', '-18236684766180583,6518551644516227,85225913717276614,-24435985487686839,-131003194031514145,40961310883424666,92985354725497772,-30005099003715906,-36267075022460960,11053480983805967,8749997251141997,-2285892159900770,-1407163630429229,283028501567835,155623613424265,-21446948089173,-11866873724854,979409499170,618606880338,-24966923962,-21859744948,237227647,517426458,4201886,-8009946,-146468,77289,1575,-421,-6,1', '-206543886,4471795601,-24851190762,-20383094240,270763920313,316364503043,-270855595986,-366710899609,116682108395,170448431924,-29773531184,-39793760914,5162673666,4967110583,-597232037,-334569767,41851450,11971157,-1597412,-220424,31429,1900,-291,-6,1', '-287366467565261,2010372065837465,4851192258220434,2695120390920418,-115080187723931,-418742071941475,-58713808975178,21189487154482,4737284469795,-490317282973,-161973710876,5078334002,3046836862,-5660426,-33748017,-338990,217812,2655,-745,-6,1', '-37435811,2266108861,15243528512,34995356038,30367123582,-144186350,-12830044654,-3238660298,2135156012,687414310,-202017402,-64430877,12301241,3245403,-490510,-90944,12214,1335,-170,-8,1', '-5685822068185,-73886939623,86459836471,866724532,-508300367,-3652779,1436954,6477,-1942,-4,1', '-922209524690234375,25813587813473734375,297177345418106292500,131503847331516906025,-1170545029223243785540,-506602148530451933053,1876429847901413989912,644217716394019072016,-1647313060503906593348,-419969350590427551405,900496762127015689719,159368472649512518562,-329059068180017627229,-36436024219244224976,83980671234282693047,4661293567602634905,-15405045062714515348,-151092441030038528,2070099347015617813,-58249920614779779,-206226156303234446,12401713305389563,15319690927866624,-1347371949688889,-848254338443448,96199091464357,34725590209100,-4817080375157,-1030695562120,172446369265,21296046305,-4397970704,-278994090,78055806,1669455,-915918,8470,6384,-206,-20,1', '1,-11,-282,1524,1505,-15907,11794,34869,-42733,-25178,49019,1440,-24715,5460,5472,-2155,-372,266,-15,-8,1', '1,-25,39,89,-99,-86,67,25,-15,-2,1', '125,-3775,-5170,192572,374774,-2176284,-4032437,11560029,17420833,-34792239,-37170528,63108739,42546355,-69921419,-27553417,48493211,10107507,-21584405,-1836528,6255783,5984,-1178959,68501,141254,-14192,-10186,1335,393,-60,-6,1', '28561,0,-81059,0,73505,0,-23262,0,2190,0,-80,0,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a^{4} - 2 a^{3} - 4 a^{2} + 7 a \\)', '\\( a - 1 \\)', '\\( a^{4} - 2 a^{3} - 4 a^{2} + 6 a + 2 \\)', '\\( a^{3} - a^{2} - 4 a + 2 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4']}
Hilbert modular form data - 5.5.180769.1-25.3-e