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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': 13, 'hecke_orbit_code': 54043607912416114, '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.m', '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': 1690669719738174527, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.010', '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}, 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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': 54043607912416114, '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.m', '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: 554148
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '882.4.g.m', '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': '21.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 554149
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '882.4.g.m', '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': '7.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 554150
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '882.4.g.m', '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': '21.g', 'twisting_char_orbit': 7, 'weight': 4}
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id: 554151
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '882.4.g.m', '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': '7.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 554152
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '882.4.g.m', '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': '7.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 554153
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '882.4.g.m', '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': '7.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 554154
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '882.4.g.m', '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': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 554155
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '882.4.g.m', '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': '7.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 554156
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '882.4.g.m', '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': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 554157
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '882.4.g.m', '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': '21.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 554158
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '882.4.g.m', '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': '21.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 554159
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '882.4.g.m', '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': '21.g', 'twisting_char_orbit': 7, 'weight': 4}
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id: 554160
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '882.4.g.m', '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': '28.g', 'twisting_char_orbit': 7, 'weight': 4}
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id: 554161
{'conductor': 84, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '882.4.g.m', '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': '84.n', 'twisting_char_orbit': 14, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1447700
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 54043607912416114, 'p': 2}
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id: 1447701
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 54043607912416114, 'p': 3}
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id: 1447702
{'charpoly_factorization': [[[484, -22, 1], 1]], 'hecke_orbit_code': 54043607912416114, 'p': 5}
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id: 1447703
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 54043607912416114, 'p': 7}
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id: 1447704
{'charpoly_factorization': [[[676, -26, 1], 1]], 'hecke_orbit_code': 54043607912416114, 'p': 11}
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id: 1447705
{'charpoly_factorization': [[[54, 1], 2]], 'hecke_orbit_code': 54043607912416114, 'p': 13}
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id: 1447706
{'charpoly_factorization': [[[5476, -74, 1], 1]], 'hecke_orbit_code': 54043607912416114, 'p': 17}
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id: 1447707
{'charpoly_factorization': [[[13456, 116, 1], 1]], 'hecke_orbit_code': 54043607912416114, 'p': 19}
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id: 1447708
{'charpoly_factorization': [[[3364, 58, 1], 1]], 'hecke_orbit_code': 54043607912416114, 'p': 23}
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id: 1447709
{'charpoly_factorization': [[[208, 1], 2]], 'hecke_orbit_code': 54043607912416114, 'p': 29}
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id: 1447710
{'charpoly_factorization': [[[63504, -252, 1], 1]], 'hecke_orbit_code': 54043607912416114, 'p': 31}
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id: 1447711
{'charpoly_factorization': [[[2500, 50, 1], 1]], 'hecke_orbit_code': 54043607912416114, 'p': 37}
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id: 1447712
{'charpoly_factorization': [[[126, 1], 2]], 'hecke_orbit_code': 54043607912416114, 'p': 41}
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id: 1447713
{'charpoly_factorization': [[[-164, 1], 2]], 'hecke_orbit_code': 54043607912416114, 'p': 43}
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id: 1447714
{'charpoly_factorization': [[[197136, 444, 1], 1]], 'hecke_orbit_code': 54043607912416114, 'p': 47}
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id: 1447715
{'charpoly_factorization': [[[144, -12, 1], 1]], 'hecke_orbit_code': 54043607912416114, 'p': 53}
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id: 1447716
{'charpoly_factorization': [[[15376, -124, 1], 1]], 'hecke_orbit_code': 54043607912416114, 'p': 59}
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id: 1447717
{'charpoly_factorization': [[[26244, -162, 1], 1]], 'hecke_orbit_code': 54043607912416114, 'p': 61}
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id: 1447718
{'charpoly_factorization': [[[739600, -860, 1], 1]], 'hecke_orbit_code': 54043607912416114, 'p': 67}
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id: 1447719
{'charpoly_factorization': [[[-238, 1], 2]], 'hecke_orbit_code': 54043607912416114, 'p': 71}
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id: 1447720
{'charpoly_factorization': [[[21316, -146, 1], 1]], 'hecke_orbit_code': 54043607912416114, 'p': 73}
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id: 1447721
{'charpoly_factorization': [[[968256, -984, 1], 1]], 'hecke_orbit_code': 54043607912416114, 'p': 79}
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id: 1447722
{'charpoly_factorization': [[[656, 1], 2]], 'hecke_orbit_code': 54043607912416114, 'p': 83}
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id: 1447723
{'charpoly_factorization': [[[910116, 954, 1], 1]], 'hecke_orbit_code': 54043607912416114, 'p': 89}
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id: 1447724
{'charpoly_factorization': [[[-526, 1], 2]], 'hecke_orbit_code': 54043607912416114, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 7, 'hecke_orbit': 13, 'label': '882.4.g.m', '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: 225483000
{'hecke_orbit_code': 54043607912416114, 'n': 1, 'trace_an': 2}
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id: 225483001
{'hecke_orbit_code': 54043607912416114, 'n': 2, 'trace_an': -2}
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id: 225483002
{'hecke_orbit_code': 54043607912416114, 'n': 3, 'trace_an': 0}
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id: 225483003
{'hecke_orbit_code': 54043607912416114, 'n': 4, 'trace_an': -4}
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id: 225483004
{'hecke_orbit_code': 54043607912416114, 'n': 5, 'trace_an': 22}
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id: 225483005
{'hecke_orbit_code': 54043607912416114, 'n': 6, 'trace_an': 0}
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id: 225483006
{'hecke_orbit_code': 54043607912416114, 'n': 7, 'trace_an': 0}
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id: 225483007
{'hecke_orbit_code': 54043607912416114, 'n': 8, 'trace_an': 16}
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id: 225483008
{'hecke_orbit_code': 54043607912416114, 'n': 9, 'trace_an': 0}
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id: 225483009
{'hecke_orbit_code': 54043607912416114, 'n': 10, 'trace_an': 44}
-
id: 225483010
{'hecke_orbit_code': 54043607912416114, 'n': 11, 'trace_an': 26}
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id: 225483011
{'hecke_orbit_code': 54043607912416114, 'n': 12, 'trace_an': 0}
-
id: 225483012
{'hecke_orbit_code': 54043607912416114, 'n': 13, 'trace_an': -108}
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id: 225483013
{'hecke_orbit_code': 54043607912416114, 'n': 14, 'trace_an': 0}
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id: 225483014
{'hecke_orbit_code': 54043607912416114, 'n': 15, 'trace_an': 0}
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id: 225483015
{'hecke_orbit_code': 54043607912416114, 'n': 16, 'trace_an': -16}
-
id: 225483016
{'hecke_orbit_code': 54043607912416114, 'n': 17, 'trace_an': 74}
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id: 225483017
{'hecke_orbit_code': 54043607912416114, 'n': 18, 'trace_an': 0}
-
id: 225483018
{'hecke_orbit_code': 54043607912416114, 'n': 19, 'trace_an': -116}
-
id: 225483019
{'hecke_orbit_code': 54043607912416114, 'n': 20, 'trace_an': -176}
-
id: 225483020
{'hecke_orbit_code': 54043607912416114, 'n': 21, 'trace_an': 0}
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{'hecke_orbit_code': 54043607912416114, 'n': 994, 'trace_an': 0}
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id: 225483994
{'hecke_orbit_code': 54043607912416114, 'n': 995, 'trace_an': -1408}
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id: 225483995
{'hecke_orbit_code': 54043607912416114, 'n': 996, 'trace_an': 0}
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id: 225483996
{'hecke_orbit_code': 54043607912416114, 'n': 997, 'trace_an': 54562}
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id: 225483997
{'hecke_orbit_code': 54043607912416114, 'n': 998, 'trace_an': 14968}
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id: 225483998
{'hecke_orbit_code': 54043607912416114, 'n': 999, 'trace_an': 0}
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id: 225483999
{'hecke_orbit_code': 54043607912416114, 'n': 1000, 'trace_an': -82368}