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{'Nk2': 4032, 'analytic_conductor': 14.868481321446636, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [7, -1]], 'atkin_lehner_string': '---', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [252, 1, [127, 29, 73], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [6, 1]], [11, [36, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503599694479612, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '252.4.a.b', 'level': 252, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'minimal_twist': '84.4.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-6q^{5}+7q^{7}-6^{2}q^{11}+62q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '252.4.a', 'trace_display': [0, 0, -6, 7], 'trace_hash': 383551981480151465, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.992', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.006', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.077', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.002', 'prec': 17}, 'traces': [1, 0, 0, 0, -6, 0, 7, 0, 0, 0, -36, 0, 62, 0, 0, 0, -114, 0, -76, 0, 0, 0, 24, 0, -89, 0, 0, 0, -54, 0, -112, 0, 0, 0, -42, 0, -178, 0, 0, 0, -378, 0, -172, 0, 0, 0, 192, 0, 49, 0, 0, 0, 402, 0, 216, 0, 0, 0, -396, 0, 254, 0, 0, 0, -372, 0, -1012, 0, 0, 0, -840, 0, 890, 0, 0, 0, -252, 0, 80, 0, 0, 0, 108, 0, 684, 0, 0, 0, 1638, 0, 434, 0, 0, 0, 456, 0, 1010, 0, 0, 0, -6, 0, -472, 0, 0, 0, 972, 0, -1786, 0, 0, 0, 2286, 0, -144, 0, 0, 0, -798, 0, -35, 0, 0, 0, 1284, 0, 1328, 0, 0, 0, 1212, 0, -532, 0, 0, 0, 1254, 0, -340, 0, 0, 0, -2232, 0, 324, 0, 0, 0, -1038, 0, 2936, 0, 0, 0, 672, 0, -1330, 0, 0, 0, 168, 0, -3364, 0, 0, 0, -3048, 0, 1647, 0, 0, 0, 2706, 0, -623, 0, 0, 0, -4716, 0, 1910, 0, 0, 0, 1068, 0, 4104, 0, 0, 0, -4080, 0, -2686, 0, 0, 0, -510, 0, 1352, 0, 0, 0, -378, 0, 2268, 0, 0, 0, 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1], [0], [0], [0], [-6], [0], [7], [0], [0], [0], [-36], [0], [62], [0], [0], [0], [-114], [0], [-76], [0], [0], [0], [24], [0], [-89], [0], [0], [0], [-54], [0], [-112], [0], [0], [0], [-42], [0], [-178], [0], [0], [0], [-378], [0], [-172], [0], [0], [0], [192], [0], [49], [0], [0], [0], [402], [0], [216], [0], [0], [0], [-396], [0], [254], [0], [0], [0], [-372], [0], [-1012], [0], [0], [0], [-840], [0], [890], [0], [0], [0], [-252], [0], [80], [0], [0], [0], [108], [0], [684], [0], [0], [0], [1638], [0], [434], [0], [0], [0], [456], [0], [1010], [0], [0], [0]], 'ap': [[0], [0], [-6], [7], [-36], [62], [-114], [-76], [24], [-54], [-112], [-178], [-378], [-172], [192], [402], [-396], [254], [-1012], [-840], [890], [80], [108], [1638], [1010], [-6], [-472], [972], [-1786], [2286], [1328], [1212], [1254], [-340], [-1038], [2936], [-1330], [-3364], [-3048], [2706], [-4716], [1910], [-4080], [-2686], [-510], [1352], [-3364], [-4768], [-420], [-1882], [-5082], [5424], [-2590], [4932], [3438], [-6120], [18], [6896], [6254], [-1194], [-7156], [3738], [-844], [-6312], [8282], [-9318], [1652], [-1294], [-3636], [10478], [7566], [8040], [7568], [-13522], [2468], [12336], [3762], [-8770], [-6642], [-1510], [1260], [3998], [2736], [2690], [-1240], [3900], [10878], [2330], [-15150], [-2992], [-8724], [-9744], [4136], [-16212], [2396], [-13128], [-12798], [-7386], [5180], [4070], [14780], [6858], [-6660], [150], [-8188], [-5854], [-17580], [-17154], [18120], [17546], [-14560], [-4498], [5478], [6044], [-15352], [22398], [3764], [17688], [-19878], [20004], [-1306], [-13054], [-5046], [-12468], [-23212], [-35958], [6446], [4704], [-10600], [12542], [23324], [6312], [35840], [-34594], [-23946], [18770], [-30342], [-26188], [34818], [21702], [-20356], [19890], [4232], [-9636], [35294], [3768], [-39466], [34038], [-3364], [-13104], [-40858], [37374], [9788], [-50424], [-12412], [-6576], [8264], [-39426], [-4678], [17346], [-19452], [-4458], [52520], [10404], [7566], [-44376], [-27328], [2774], [-36526], [-18438], [39324], [2990], [-58632], [45146], [16928], [-5274], [-36940], [16242], [-6568], [782], [-25072], [-25236], [56270], [-26346], [-2832], [-16326], [-68506], [-51388], [-43750], [23760], [-29758], [-11316], [76124], [3810], [26244], [-30282], [-47470], [-7306], [48174], [2952], [330], [19232], [14150], [36290], [-30684], [-36750], [64496], [41748], [4710], [-42100], [-20590], [-14454], [18488], [49428], [-20184], [27914], [61904], [-24882], [-45336], [-76566], [5966], [-49912], [-68418], [45056], [54636], [48350], [16038], [45408], [632], [-69924], [15590], [33860], [92672], [11238], [-11140], [-85008], [68450], [-8910], [-3300], [-65592], [-109692], [20492], [-103816], [-49354], [-35778], [-48984], [-40384], [88188], [11540], [90912], [15302], [-49170], [-114408], [60026], [28482], [30420], [4766], [68828], [97914], [118298], [-27472], [30132], [-78538], [-133666], [-52866], [89492], [-22806], [-65562], [4628], [37458], [-125314], [107660], [33098], [-110416], [-8206], [107336], [-2196], [135014], [99674], [122124], [39072], [83480], [46824], [149558], [102044], [-79728], [44018], [30546], [-135400], [41646], [93546], [-27636], [-27786], [57732], [97238], [73794], [33920], [-89286], [-116796], [-55180], [-83446], [108858], [-132784], [2916], [-115036], [770], [-53028], [135566], [-72], [52862], [-15408], [-67518], [-122274], [-6820], [-57576], [116378], [-111012], [132624], [-33310], [-35922], [109412], [-9238], [-41262], [-112672], [54918], [52130], [55388], [-53908], [142944], [-79662], [104054], [197706], [112880], [142956], [-186748], [-145356], [-170602], [59118], [-46342], [-30688], [179342], [34902], [-95286], [-177640], [31722], [15444], [213446], [-162700], [80880], [11370], [-22444], [-95398], [-95862], [155360], [-193810], [-206682], [-76464], [168708], [62958], [29208], [40286], [108630], [184560], [-19428], [212228], [-90502], [108402], [45224], [-2230], [181476], [-155860], [108288], [28818], [-207832], [-2746], [75948], [188448], [125858], [-191922], [-61894], [-28638], [59622], [-106936], [39966], [-80332], [35592], [155216], [182918], [49748], [151536], [-121150], [10362], [89004], [-49948], [-142344], [60842], [110576], [67206], [-72220], [-140094], [198398], [258942], [-74032], [-113802], [-49014], [-115768], [20342], [-242514], [-155164], [149964], [100658], [-83646], [33516], [12908], [108218], [-215406], [-212400], [-157720], [-120978], [102072], [-107958], [-98218], [69504], [-223356], [68042], [-170526], [-113052], [50262], [159068], [53736]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 4503599694479612, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '252.4.a.b', 'level': 252, 'maxp': 2999, 'weight': 4}
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mf_newspaces • Show schema
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{'ALdims': [0, 0, 0, 0, 2, 2, 2, 2], 'Nk2': 4032, 'analytic_conductor': 14.868481321446636, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [252, 1, [127, 29, 73], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 132, 'dim': 8, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11], 'hecke_orbit_code': 67109116, 'hecke_orbit_dims': [1, 1, 1, 1, 2, 2], 'label': '252.4.a', 'level': 252, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'mf_dim': 156, 'mf_new_dim': 8, 'num_forms': 6, 'plus_dim': 4, 'prim_orbit_index': 1, 'relative_dim': 8, 'sturm_bound': 192, 'trace_bound': 11, 'trace_display': [0, 0, -18, 0], 'traces': [8, 0, 0, 0, -18, 0, 0, 0, 0, 0, 12, 0, 14, 0, 0, 0, -12, 0, 46, 0, 0, 0, 24, 0, -108, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 200950
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '252.4.a.b', 'source_level': 252, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '84.4.a.a', 'target_level': 84, 'twist_class_label': '84.4.a.a', 'twist_class_level': 84, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 200951
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '252.4.a.b', 'source_level': 252, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '252.4.a.b', 'target_level': 252, 'twist_class_label': '84.4.a.a', 'twist_class_level': 84, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 200952
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '252.4.a.b', 'source_level': 252, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '336.4.a.k', 'target_level': 336, 'twist_class_label': '84.4.a.a', 'twist_class_level': 84, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 200953
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '252.4.a.b', 'source_level': 252, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '588.4.a.d', 'target_level': 588, 'twist_class_label': '84.4.a.a', 'twist_class_level': 84, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 200954
{'conductor': 21, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '252.4.a.b', 'source_level': 252, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '588.4.i.c', 'target_level': 588, 'twist_class_label': '84.4.a.a', 'twist_class_level': 84, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 4}
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id: 200955
{'conductor': 21, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '252.4.a.b', 'source_level': 252, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '588.4.i.f', 'target_level': 588, 'twist_class_label': '84.4.a.a', 'twist_class_level': 84, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 200956
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '252.4.a.b', 'source_level': 252, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1008.4.a.h', 'target_level': 1008, 'twist_class_label': '84.4.a.a', 'twist_class_level': 84, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 200957
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '252.4.a.b', 'source_level': 252, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1344.4.a.d', 'target_level': 1344, 'twist_class_label': '84.4.a.a', 'twist_class_level': 84, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 200958
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '252.4.a.b', 'source_level': 252, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '1344.4.a.q', 'target_level': 1344, 'twist_class_label': '84.4.a.a', 'twist_class_level': 84, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 200959
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '252.4.a.b', 'source_level': 252, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1764.4.a.j', 'target_level': 1764, 'twist_class_label': '84.4.a.a', 'twist_class_level': 84, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 200960
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '252.4.a.b', 'source_level': 252, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1764.4.k.f', 'target_level': 1764, 'twist_class_label': '84.4.a.a', 'twist_class_level': 84, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 200961
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '252.4.a.b', 'source_level': 252, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '1764.4.k.l', 'target_level': 1764, 'twist_class_label': '84.4.a.a', 'twist_class_level': 84, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 200962
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '252.4.a.b', 'source_level': 252, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '2100.4.a.l', 'target_level': 2100, 'twist_class_label': '84.4.a.a', 'twist_class_level': 84, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 200963
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '252.4.a.b', 'source_level': 252, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '2100.4.k.j', 'target_level': 2100, 'twist_class_label': '84.4.a.a', 'twist_class_level': 84, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 200964
{'conductor': 84, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '252.4.a.b', 'source_level': 252, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2352.4.a.d', 'target_level': 2352, 'twist_class_label': '84.4.a.a', 'twist_class_level': 84, 'twisting_char_label': '84.h', 'twisting_char_orbit': 8, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 587550
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599694479612, 'p': 2}
-
id: 587551
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599694479612, 'p': 3}
-
id: 587552
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 4503599694479612, 'p': 5}
-
id: 587553
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 4503599694479612, 'p': 7}
-
id: 587554
{'charpoly_factorization': [[[36, 1], 1]], 'hecke_orbit_code': 4503599694479612, 'p': 11}
-
id: 587555
{'charpoly_factorization': [[[-62, 1], 1]], 'hecke_orbit_code': 4503599694479612, 'p': 13}
-
id: 587556
{'charpoly_factorization': [[[114, 1], 1]], 'hecke_orbit_code': 4503599694479612, 'p': 17}
-
id: 587557
{'charpoly_factorization': [[[76, 1], 1]], 'hecke_orbit_code': 4503599694479612, 'p': 19}
-
id: 587558
{'charpoly_factorization': [[[-24, 1], 1]], 'hecke_orbit_code': 4503599694479612, 'p': 23}
-
id: 587559
{'charpoly_factorization': [[[54, 1], 1]], 'hecke_orbit_code': 4503599694479612, 'p': 29}
-
id: 587560
{'charpoly_factorization': [[[112, 1], 1]], 'hecke_orbit_code': 4503599694479612, 'p': 31}
-
id: 587561
{'charpoly_factorization': [[[178, 1], 1]], 'hecke_orbit_code': 4503599694479612, 'p': 37}
-
id: 587562
{'charpoly_factorization': [[[378, 1], 1]], 'hecke_orbit_code': 4503599694479612, 'p': 41}
-
id: 587563
{'charpoly_factorization': [[[172, 1], 1]], 'hecke_orbit_code': 4503599694479612, 'p': 43}
-
id: 587564
{'charpoly_factorization': [[[-192, 1], 1]], 'hecke_orbit_code': 4503599694479612, 'p': 47}
-
id: 587565
{'charpoly_factorization': [[[-402, 1], 1]], 'hecke_orbit_code': 4503599694479612, 'p': 53}
-
id: 587566
{'charpoly_factorization': [[[396, 1], 1]], 'hecke_orbit_code': 4503599694479612, 'p': 59}
-
id: 587567
{'charpoly_factorization': [[[-254, 1], 1]], 'hecke_orbit_code': 4503599694479612, 'p': 61}
-
id: 587568
{'charpoly_factorization': [[[1012, 1], 1]], 'hecke_orbit_code': 4503599694479612, 'p': 67}
-
id: 587569
{'charpoly_factorization': [[[840, 1], 1]], 'hecke_orbit_code': 4503599694479612, 'p': 71}
-
id: 587570
{'charpoly_factorization': [[[-890, 1], 1]], 'hecke_orbit_code': 4503599694479612, 'p': 73}
-
id: 587571
{'charpoly_factorization': [[[-80, 1], 1]], 'hecke_orbit_code': 4503599694479612, 'p': 79}
-
id: 587572
{'charpoly_factorization': [[[-108, 1], 1]], 'hecke_orbit_code': 4503599694479612, 'p': 83}
-
id: 587573
{'charpoly_factorization': [[[-1638, 1], 1]], 'hecke_orbit_code': 4503599694479612, 'p': 89}
-
id: 587574
{'charpoly_factorization': [[[-1010, 1], 1]], 'hecke_orbit_code': 4503599694479612, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 2, 'label': '252.4.a.b', 'level': 252, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 18658884
{'hecke_orbit_code': 4503599694479612, 'n': 1, 'trace_an': 1}
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id: 18658885
{'hecke_orbit_code': 4503599694479612, 'n': 2, 'trace_an': 0}
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id: 18658886
{'hecke_orbit_code': 4503599694479612, 'n': 3, 'trace_an': 0}
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id: 18658887
{'hecke_orbit_code': 4503599694479612, 'n': 4, 'trace_an': 0}
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id: 18658888
{'hecke_orbit_code': 4503599694479612, 'n': 5, 'trace_an': -6}
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id: 18658889
{'hecke_orbit_code': 4503599694479612, 'n': 6, 'trace_an': 0}
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id: 18658890
{'hecke_orbit_code': 4503599694479612, 'n': 7, 'trace_an': 7}
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id: 18658891
{'hecke_orbit_code': 4503599694479612, 'n': 8, 'trace_an': 0}
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id: 18658892
{'hecke_orbit_code': 4503599694479612, 'n': 9, 'trace_an': 0}
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id: 18658893
{'hecke_orbit_code': 4503599694479612, 'n': 10, 'trace_an': 0}
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id: 18658894
{'hecke_orbit_code': 4503599694479612, 'n': 11, 'trace_an': -36}
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id: 18658895
{'hecke_orbit_code': 4503599694479612, 'n': 12, 'trace_an': 0}
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id: 18658896
{'hecke_orbit_code': 4503599694479612, 'n': 13, 'trace_an': 62}
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id: 18658897
{'hecke_orbit_code': 4503599694479612, 'n': 14, 'trace_an': 0}
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id: 18658898
{'hecke_orbit_code': 4503599694479612, 'n': 15, 'trace_an': 0}
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id: 18658899
{'hecke_orbit_code': 4503599694479612, 'n': 16, 'trace_an': 0}
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id: 18658900
{'hecke_orbit_code': 4503599694479612, 'n': 17, 'trace_an': -114}
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id: 18658901
{'hecke_orbit_code': 4503599694479612, 'n': 18, 'trace_an': 0}
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id: 18658902
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