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mf_newforms • Show schema
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{'Nk2': 14112, 'analytic_conductor': 52.039684625063224, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 3, 'char_parity': 1, 'char_values': [882, 3, [785, 199], [3, 2]], 'cm_discs': [], 'conrey_index': 361, 'conrey_indexes': [361, 667], 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [484, -22, 1]], [11, [676, 26, 1]], [13, [-54, 1]]], 'hecke_orbit': 24, 'hecke_orbit_code': 103583203813491570, 'hecke_ring_generator_nbound': 25, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '882.4.g.x', 'level': 882, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'minimal_twist': '126.4.a.e', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q+2\\zeta_{6}q^{2}+(-4+4\\zeta_{6})q^{4}+22\\zeta_{6}q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '3.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '882.4.g', 'trace_display': [2, 0, 22, 0], 'trace_hash': 84692199720860226, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.983', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.742', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 2], [0, 0], [-4, 4], [0, 22], [0, 0], [0, 0], [-8, 0], [0, 0], [-44, 44], [-26, 26], [0, 0], [54, 0], [0, 0], [0, 0], [0, -16], [74, -74], [0, 0], [0, 116], [-88, 0], [0, 0], [-52, 0], [0, 58], [0, 0], [-359, 359], [0, 108], [0, 0], [0, 0], [208, 0], [0, 0], [-252, 252], [32, -32], [0, 0], [148, 0], [0, 0], [0, 0], [0, -50], [-232, 232], [0, 0], [0, -176], [-126, 0], [0, 0], [164, 0], [0, -104], [0, 0], [-116, 116], [0, -444], [0, 0], [0, 0], [-718, 0], [0, 0], [-216, 216], [-12, 12], [0, 0], [-572, 0], [0, 0], [0, 0], [0, 416], [124, -124], [0, 0], [0, -162], [-504, 0], [0, 0], [64, 0], [0, 1188], [0, 0], [860, -860], [0, 296], [0, 0], [0, 0], [-238, 0], [0, 0], [-146, 146], [100, -100], [0, 0], [-464, 0], [0, 0], [0, 0], [0, 984], [352, -352], [0, 0], [0, -252], [-656, 0], [0, 0], [1628, 0], [0, 328], [0, 0], [208, -208], [0, -954], [0, 0], [0, 0], [-232, 0], [0, 0], [888, -888], [-2552, 2552], [0, 0], [-526, 0], [0, 0], [0, 0], [0, -1436]], 'ap': [[0, 2], [0, 0], [0, 22], [0, 0], [-26, 26], [54, 0], [74, -74], [0, 116], [0, 58], [208, 0], [-252, 252], [0, -50], [-126, 0], [164, 0], [0, -444], [-12, 12], [124, -124], [0, -162], [860, -860], [-238, 0], [-146, 146], [0, 984], [-656, 0], [0, -954], [-526, 0], [1306, -1306], [0, -508], [0, -498], [614, -614], [-1232, 0], [-2808, 0], [0, 520], [2516, -2516], [2672, 0], [0, 1164], [-1672, 1672], [446, -446], [0, -428], [-4, 0], [0, -590], [-3534, 3534], [-1098, 0], [0, 4854], [1498, -1498], [620, 0], [32, -32], [4268, 0], [-3464, 0], [-3252, 3252], [0, 418], [0, -2084], [1662, 0], [6182, -6182], [996, 0], [0, -5994], [-6414, 6414], [2686, -2686], [0, 5100], [4426, -4426], [7508, 0], [3412, -3412], [4734, 0], [-5836, 0], [5620, -5620], [0, 6082], [0, 7308], [0, 8020], [4590, 0], [6546, -6546], [7994, 0], [4650, -4650], [0, -346], [-6784, 6784], [0, 6098], [-2660, 0], [0, -760], [104, -104], [0, 4398], [0, -13236], [-9490, 9490], [-4236, 0], [918, 0], [11814, -11814], [8374, 0], [0, 3840], [0, -10166], [8200, 0], [0, 6074], [2006, 0], [-3728, 0], [0, -6380], [17180, -17180], [2728, -2728], [2574, 0], [0, 7484], [-7920, 0], [0, 7254], [-17862, 17862], [0, -592], [0, 6402], [-8988, 0], [-3244, 3244], [9812, -9812], [0, 12156], [-6876, 6876], [20002, -20002], [-18404, 0], [0, -9846], [-9234, 9234], [1510, 0], [0, 17544], [-9246, 9246], [-29212, 0], [7096, -7096], [488, 0], [-8756, 8756], [3364, 0], [21804, -21804], [0, -13488], [28946, 0], [-20642, 20642], [-17602, 0], [0, 4266], [26874, -26874], [0, -17128], [11968, 0], [0, 5278], [0, 6720], [-16804, 0], [0, 27522], [-21132, 21132], [-30, 0], [0, 15480], [28770, 0], [0, -12418], [-12346, 0], [38098, -38098], [13824, -13824], [-22170, 0], [-16288, 16288], [8720, 0], [0, 31372], [17648, -17648], [-2382, 0], [26650, -26650], [-24092, 0], [8194, 0], [-16962, 16962], [0, -48556], [0, 34274], [0, -7126], [9222, 0], [37652, 0], [0, -21996], [-14844, 14844], [-19446, 0], [0, 39200], [0, -15954], [-2546, 0], [430, -430], [0, -38266], [-28216, 0], [-27712, 0], [0, 32976], [8940, -8940], [-3288, 3288], [-33944, 33944], [-54562, 54562]], 'char_orbit_index': 7, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 103583203813491570, 'hecke_ring_character_values': [[785, [1, 0]], [199, [0, -1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '882.4.g.x', 'level': 882, 'maxp': 997, 'weight': 4}
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mf_newspaces • Show schema
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{'Nk2': 14112, 'analytic_conductor': 52.039684625063224, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 3, 'char_parity': 1, 'char_values': [882, 3, [785, 199], [3, 2]], 'conrey_index': 361, 'cusp_dim': 944, 'dim': 100, 'eis_dim': 128, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 13], 'hecke_orbit_code': 412383970162, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], 'label': '882.4.g', 'level': 882, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'mf_dim': 1072, 'mf_new_dim': 100, 'num_forms': 37, 'prim_orbit_index': 3, 'relative_dim': 50, 'sturm_bound': 672, 'trace_bound': 13, 'trace_display': [0, 0, 18, 0], 'traces': [100, 0, 0, -200, 18, 0, 0, 0, 0, -8, 2, 0, 192, 0, 0, -800, 150, 0, -46, -144, 0, -400, -350, 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0, 313616, 0, 0, -192700, -45264, 0, 60968, -270012, 0, -444544, 4736, 0, 58664, -10254, 0, 0, -132352, 0, 4704, -91638, 0, 47748, 0, 0, 69624, -2658, 0, 34172, 59088, 0, -283200, -262336, 0, -176818, 29952, 0, 0, 79092, 0, -32014, 134088, 0, -102336], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 554350
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '882.4.g.x', 'source_level': 882, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '126.4.a.e', 'target_level': 126, 'twist_class_label': '126.4.a.e', 'twist_class_level': 126, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 554351
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '882.4.g.x', 'source_level': 882, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '126.4.a.f', 'target_level': 126, 'twist_class_label': '126.4.a.e', 'twist_class_level': 126, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 4}
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id: 554352
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '882.4.g.x', 'source_level': 882, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '882.4.a.a', 'target_level': 882, 'twist_class_label': '126.4.a.e', 'twist_class_level': 126, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 554353
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '882.4.g.x', 'source_level': 882, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '882.4.a.s', 'target_level': 882, 'twist_class_label': '126.4.a.e', 'twist_class_level': 126, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 554354
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '882.4.g.x', 'source_level': 882, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '882.4.g.a', 'target_level': 882, 'twist_class_label': '126.4.a.e', 'twist_class_level': 126, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 554355
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '882.4.g.x', 'source_level': 882, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '882.4.g.a', 'target_level': 882, 'twist_class_label': '126.4.a.e', 'twist_class_level': 126, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 554356
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '882.4.g.x', 'source_level': 882, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '882.4.g.m', 'target_level': 882, 'twist_class_label': '126.4.a.e', 'twist_class_level': 126, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 554357
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '882.4.g.x', 'source_level': 882, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '882.4.g.m', 'target_level': 882, 'twist_class_label': '126.4.a.e', 'twist_class_level': 126, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 4}
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id: 554358
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '882.4.g.x', 'source_level': 882, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '882.4.g.n', 'target_level': 882, 'twist_class_label': '126.4.a.e', 'twist_class_level': 126, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 554359
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '882.4.g.x', 'source_level': 882, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '882.4.g.n', 'target_level': 882, 'twist_class_label': '126.4.a.e', 'twist_class_level': 126, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 554360
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '882.4.g.x', 'source_level': 882, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '882.4.g.x', 'target_level': 882, 'twist_class_label': '126.4.a.e', 'twist_class_level': 126, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 554361
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '882.4.g.x', 'source_level': 882, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '882.4.g.x', 'target_level': 882, 'twist_class_label': '126.4.a.e', 'twist_class_level': 126, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 554362
{'conductor': 84, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '882.4.g.x', 'source_level': 882, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1008.4.a.a', 'target_level': 1008, 'twist_class_label': '126.4.a.e', 'twist_class_level': 126, 'twisting_char_label': '84.j', 'twisting_char_orbit': 10, 'weight': 4}
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id: 554363
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '882.4.g.x', 'source_level': 882, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '1008.4.a.w', 'target_level': 1008, 'twist_class_label': '126.4.a.e', 'twist_class_level': 126, 'twisting_char_label': '28.f', 'twisting_char_orbit': 6, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1447975
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 103583203813491570, 'p': 2}
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id: 1447976
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 103583203813491570, 'p': 3}
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id: 1447977
{'charpoly_factorization': [[[484, -22, 1], 1]], 'hecke_orbit_code': 103583203813491570, 'p': 5}
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id: 1447978
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 103583203813491570, 'p': 7}
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id: 1447979
{'charpoly_factorization': [[[676, 26, 1], 1]], 'hecke_orbit_code': 103583203813491570, 'p': 11}
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id: 1447980
{'charpoly_factorization': [[[-54, 1], 2]], 'hecke_orbit_code': 103583203813491570, 'p': 13}
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id: 1447981
{'charpoly_factorization': [[[5476, -74, 1], 1]], 'hecke_orbit_code': 103583203813491570, 'p': 17}
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id: 1447982
{'charpoly_factorization': [[[13456, -116, 1], 1]], 'hecke_orbit_code': 103583203813491570, 'p': 19}
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id: 1447983
{'charpoly_factorization': [[[3364, -58, 1], 1]], 'hecke_orbit_code': 103583203813491570, 'p': 23}
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id: 1447984
{'charpoly_factorization': [[[-208, 1], 2]], 'hecke_orbit_code': 103583203813491570, 'p': 29}
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id: 1447985
{'charpoly_factorization': [[[63504, 252, 1], 1]], 'hecke_orbit_code': 103583203813491570, 'p': 31}
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id: 1447986
{'charpoly_factorization': [[[2500, 50, 1], 1]], 'hecke_orbit_code': 103583203813491570, 'p': 37}
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id: 1447987
{'charpoly_factorization': [[[126, 1], 2]], 'hecke_orbit_code': 103583203813491570, 'p': 41}
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id: 1447988
{'charpoly_factorization': [[[-164, 1], 2]], 'hecke_orbit_code': 103583203813491570, 'p': 43}
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id: 1447989
{'charpoly_factorization': [[[197136, 444, 1], 1]], 'hecke_orbit_code': 103583203813491570, 'p': 47}
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id: 1447990
{'charpoly_factorization': [[[144, 12, 1], 1]], 'hecke_orbit_code': 103583203813491570, 'p': 53}
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id: 1447991
{'charpoly_factorization': [[[15376, -124, 1], 1]], 'hecke_orbit_code': 103583203813491570, 'p': 59}
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id: 1447992
{'charpoly_factorization': [[[26244, 162, 1], 1]], 'hecke_orbit_code': 103583203813491570, 'p': 61}
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id: 1447993
{'charpoly_factorization': [[[739600, -860, 1], 1]], 'hecke_orbit_code': 103583203813491570, 'p': 67}
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id: 1447994
{'charpoly_factorization': [[[238, 1], 2]], 'hecke_orbit_code': 103583203813491570, 'p': 71}
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id: 1447995
{'charpoly_factorization': [[[21316, 146, 1], 1]], 'hecke_orbit_code': 103583203813491570, 'p': 73}
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id: 1447996
{'charpoly_factorization': [[[968256, -984, 1], 1]], 'hecke_orbit_code': 103583203813491570, 'p': 79}
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id: 1447997
{'charpoly_factorization': [[[656, 1], 2]], 'hecke_orbit_code': 103583203813491570, 'p': 83}
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id: 1447998
{'charpoly_factorization': [[[910116, 954, 1], 1]], 'hecke_orbit_code': 103583203813491570, 'p': 89}
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id: 1447999
{'charpoly_factorization': [[[526, 1], 2]], 'hecke_orbit_code': 103583203813491570, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 7, 'hecke_orbit': 24, 'label': '882.4.g.x', 'level': 882, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 256909000
{'hecke_orbit_code': 103583203813491570, 'n': 1, 'trace_an': 2}
-
id: 256909001
{'hecke_orbit_code': 103583203813491570, 'n': 2, 'trace_an': 2}
-
id: 256909002
{'hecke_orbit_code': 103583203813491570, 'n': 3, 'trace_an': 0}
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id: 256909003
{'hecke_orbit_code': 103583203813491570, 'n': 4, 'trace_an': -4}
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id: 256909004
{'hecke_orbit_code': 103583203813491570, 'n': 5, 'trace_an': 22}
-
id: 256909005
{'hecke_orbit_code': 103583203813491570, 'n': 6, 'trace_an': 0}
-
id: 256909006
{'hecke_orbit_code': 103583203813491570, 'n': 7, 'trace_an': 0}
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id: 256909007
{'hecke_orbit_code': 103583203813491570, 'n': 8, 'trace_an': -16}
-
id: 256909008
{'hecke_orbit_code': 103583203813491570, 'n': 9, 'trace_an': 0}
-
id: 256909009
{'hecke_orbit_code': 103583203813491570, 'n': 10, 'trace_an': -44}
-
id: 256909010
{'hecke_orbit_code': 103583203813491570, 'n': 11, 'trace_an': -26}
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id: 256909011
{'hecke_orbit_code': 103583203813491570, 'n': 12, 'trace_an': 0}
-
id: 256909012
{'hecke_orbit_code': 103583203813491570, 'n': 13, 'trace_an': 108}
-
id: 256909013
{'hecke_orbit_code': 103583203813491570, 'n': 14, 'trace_an': 0}
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id: 256909014
{'hecke_orbit_code': 103583203813491570, 'n': 15, 'trace_an': 0}
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id: 256909015
{'hecke_orbit_code': 103583203813491570, 'n': 16, 'trace_an': -16}
-
id: 256909016
{'hecke_orbit_code': 103583203813491570, 'n': 17, 'trace_an': 74}
-
id: 256909017
{'hecke_orbit_code': 103583203813491570, 'n': 18, 'trace_an': 0}
-
id: 256909018
{'hecke_orbit_code': 103583203813491570, 'n': 19, 'trace_an': 116}
-
id: 256909019
{'hecke_orbit_code': 103583203813491570, 'n': 20, 'trace_an': -176}
-
id: 256909020
{'hecke_orbit_code': 103583203813491570, 'n': 21, 'trace_an': 0}
-
id: 256909021
{'hecke_orbit_code': 103583203813491570, 'n': 22, 'trace_an': -104}
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id: 256909022
{'hecke_orbit_code': 103583203813491570, 'n': 23, 'trace_an': 58}
-
id: 256909023
{'hecke_orbit_code': 103583203813491570, 'n': 24, 'trace_an': 0}
-
id: 256909024
{'hecke_orbit_code': 103583203813491570, 'n': 25, 'trace_an': -359}
-
id: 256909025
{'hecke_orbit_code': 103583203813491570, 'n': 26, 'trace_an': 108}
-
id: 256909026
{'hecke_orbit_code': 103583203813491570, 'n': 27, 'trace_an': 0}
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