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mf_newforms • Show schema
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{'Nk2': 10200, 'analytic_conductor': 20.3618525154265, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [2550, 2, [851, 1327, 751], [2, 1, 2]], 'cm_discs': [], 'conrey_index': 2449, 'conrey_indexes': [2449], 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [0, 1]], [11, [-6, 1]], [13, [4, 0, 1]], [19, [4, 1]]], 'hecke_orbit': 20, 'hecke_orbit_code': 85568599112026614, 'hecke_ring_generator_nbound': 2, '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, 5, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '2550.2.d.t', 'level': 2550, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 17], 'level_radical': 510, 'minimal_twist': '2550.2.a.e', 'nf_label': '2.0.4.1', 'prim_orbit_index': 2, 'qexp_display': 'q+iq^{2}-iq^{3}-q^{4}+q^{6}-iq^{8}-q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2550.2.d', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1152605846273206194, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.030', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '16.037', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 1], [0, -1], [-1, 0], [0, 0], [1, 0], [0, 0], [0, -1], [-1, 0], [0, 0], [6, 0], [0, 1], [0, 2], [0, 0], [0, 0], [1, 0], [0, 1], [0, -1], [-4, 0], [0, 0], [0, 0], [0, 6], [0, 5], [-1, 0], [0, 0], [-2, 0], [0, 1], [0, 0], [0, 0], [0, 0], [-2, 0], [0, 1], [0, -6], [-1, 0], [0, 0], [1, 0], [0, 3], [0, -4], [2, 0], [0, 0], [5, 0], [0, 0], [0, -2], [-6, 0], [0, 0], [-5, 0], [0, 0], [0, -1], [7, 0], [0, 0], [1, 0], [0, -2], [0, -1], [-1, 0], [0, 0], [0, 0], [0, 4], [0, 0], [3, 0], [0, 0], [5, 0], [0, -2], [0, 0], [-1, 0], [0, 0], [6, 0], [0, -2], [0, -1], [5, 0], [0, 0], [5, 0], [0, 1], [0, 0], [-3, 0], [0, 0], [4, 0], [0, 0], [0, 2], [8, 0], [0, 0], [1, 0], [0, 5], [0, 1], [0, 0], [0, 0], [2, 0], [0, 0], [0, -6], [-14, 0], [0, 0], [0, 0], [0, -5], [0, 2], [0, 0], [0, 0], [1, 0], [0, 16], [0, 7], [-6, 0], [0, 0]], 'ap': [[0, 1], [0, -1], [0, 0], [0, 0], [6, 0], [0, 2], [0, 1], [-4, 0], [0, 5], [0, 0], [-2, 0], [0, 3], [5, 0], [0, -2], [0, 0], [0, -1], [3, 0], [5, 0], [0, -2], [5, 0], [0, 0], [8, 0], [0, 1], [-14, 0], [0, 16], [10, 0], [0, 13], [0, 16], [10, 0], [0, 13], [0, 0], [-12, 0], [0, -20], [-1, 0], [5, 0], [9, 0], [0, 18], [0, -9], [0, -24], [0, 24], [-3, 0], [19, 0], [-6, 0], [0, 12], [0, -6], [10, 0], [12, 0], [0, -1], [0, -6], [6, 0], [0, -1], [30, 0], [-18, 0], [-12, 0], [0, -28], [0, 8], [-26, 0], [11, 0], [0, -25], [-6, 0], [0, -17], [0, 21], [0, -2], [15, 0], [0, 20], [0, -14], [10, 0], [0, 6], [0, -12], [-14, 0], [0, -20], [4, 0], [0, 14], [0, 4], [-31, 0], [0, -4], [-19, 0], [0, -21], [-39, 0], [-11, 0], [-4, 0], [-28, 0], [-28, 0], [0, -6], [4, 0], [0, -11], [-2, 0], [0, 25], [-35, 0], [0, -27], [0, 33], [16, 0], [0, -26], [-43, 0], [41, 0], [0, -5], [-30, 0], [18, 0], [0, -26], [-25, 0], [0, 13], [0, 11], [0, -21], [26, 0], [23, 0], [0, 7], [0, -45], [0, 24], [8, 0], [14, 0], [0, -34], [0, -38], [0, -6], [-20, 0], [41, 0], [-18, 0], [0, -37], [0, -10], [0, 24], [-16, 0], [26, 0], [0, 16], [0, 36], [0, 30], [-33, 0], [31, 0], [34, 0], [0, 0], [0, 52], [0, 14], [28, 0], [0, -19], [-12, 0], [0, -40], [-36, 0], [-35, 0], [0, -3], [0, -21], [0, 19], [-18, 0], [20, 0], [36, 0], [0, -32], [0, 10], [-16, 0], [15, 0], [0, 42], [0, -11], [16, 0], [0, -28], [0, 2], [-53, 0], [0, -6], [0, -3], [0, -17], [-32, 0], [-49, 0], [13, 0], [0, 23], [10, 0], [0, -48], [0, -14], [0, 57], [51, 0], [0, 34], [0, -8], [40, 0], [0, -22], [-24, 0], [0, -36], [-17, 0], [-30, 0], [-43, 0], [0, -6], [-39, 0], [19, 0], [-37, 0], [50, 0], [0, 31], [-52, 0], [0, 51], [48, 0], [0, 2], [0, -8], [0, 18], [7, 0], [0, -43], [0, 6], [-26, 0], [28, 0], [0, 52], [0, -34], [16, 0], [3, 0], [0, 4], [0, -29], [64, 0], [0, 2], [0, 33], [0, -34], [2, 0], [-16, 0], [0, 32], [-5, 0], [-24, 0], [0, -30], [-41, 0], [0, -36], [-54, 0], [22, 0], [0, -58], [-42, 0], [0, -26], [0, 8], [-27, 0], [-14, 0], [0, 24], [-22, 0], [0, -36], [0, 6], [14, 0], [40, 0], [4, 0], [0, 24], [0, 33], [38, 0], [0, -42], [56, 0], [0, 13], [-52, 0], [0, 34], [25, 0], [39, 0], [-4, 0], [0, -36], [0, 14], [-70, 0], [0, -44], [48, 0], [50, 0], [0, -64], [78, 0], [0, -64], [70, 0], [0, -7], [-65, 0], [0, 40], [58, 0], [38, 0], [0, -4], [0, 68], [-30, 0], [0, 78], [50, 0], [0, 46], [-23, 0], [19, 0], [0, 3], [0, 12], [0, -6], [0, -36], [0, -4], [5, 0], [0, 55], [0, 7], [-22, 0], [50, 0], [-66, 0], [0, -15], [0, -1], [50, 0], [0, -2], [0, 19], [-77, 0], [0, 81], [0, -35], [0, 0], [-82, 0], [29, 0], [21, 0], [0, -72], [-46, 0], [0, -75], [-56, 0], [0, -37], [62, 0], [0, 68], [0, -80], [61, 0], [6, 0], [44, 0], [0, -44], [0, -48], [-12, 0], [0, -74], [-18, 0], [-57, 0], [0, -9], [-6, 0], [0, 8], [0, 7], [0, -58], [76, 0]], 'char_orbit_index': 4, 'field_poly': [1, 0, 1], 'hecke_orbit_code': 85568599112026614, 'hecke_ring_character_values': [[851, [1, 0]], [1327, [-1, 0]], [751, [1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '2550.2.d.t', 'level': 2550, 'maxp': 1999, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 10200, 'analytic_conductor': 20.3618525154265, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [2550, 2, [851, 1327, 751], [2, 1, 2]], 'conrey_index': 2449, 'cusp_dim': 516, 'dim': 48, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 19], 'hecke_orbit_code': 206191987190, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4], 'label': '2550.2.d', 'level': 2550, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 17], 'level_radical': 510, 'mf_dim': 564, 'mf_new_dim': 48, 'num_forms': 22, 'prim_orbit_index': 2, 'relative_dim': 48, 'sturm_bound': 1080, 'trace_bound': 19, 'trace_display': [0, 0, 0, 0], 'traces': [48, 0, 0, -48, 0, 4, 0, 0, -48, 0, -16, 0, 0, 16, 0, 48, 0, 0, 0, 0, 8, 0, 0, -4, 0, -16, 0, 0, -32, 0, 16, 0, 0, -8, 0, 48, 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0, 16, 0, -960, 0, 0, 400, 0, 560, 0, 0, 208, 0, 8, 0, 0, 160, 0, -80, 0, 0, -400, 0, -768, 0, 0, -16, 0, 96, 0, 0, 32, 0, 416, 0, 0, 64, 0, -48, 0, 0, 816, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 963394
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '2550.2.d.t', 'source_level': 2550, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '2550.2.a.e', 'target_level': 2550, 'twist_class_label': '2550.2.a.e', 'twist_class_level': 2550, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 963395
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '2550.2.d.t', 'source_level': 2550, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 30, 'target_is_minimal': True, 'target_label': '2550.2.a.bd', 'target_level': 2550, 'twist_class_label': '2550.2.a.e', 'twist_class_level': 2550, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 963396
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '2550.2.d.t', 'source_level': 2550, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '2550.2.d.t', 'target_level': 2550, 'twist_class_label': '2550.2.a.e', 'twist_class_level': 2550, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 963397
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '2550.2.d.t', 'source_level': 2550, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '2550.2.d.t', 'target_level': 2550, 'twist_class_label': '2550.2.a.e', 'twist_class_level': 2550, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 963398
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '2550.2.d.t', 'source_level': 2550, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '7650.2.a.p', 'target_level': 7650, 'twist_class_label': '2550.2.a.e', 'twist_class_level': 2550, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 963399
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '2550.2.d.t', 'source_level': 2550, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 48, 'target_is_minimal': False, 'target_label': '7650.2.a.bv', 'target_level': 7650, 'twist_class_label': '2550.2.a.e', 'twist_class_level': 2550, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2725225
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 85568599112026614, 'p': 2}
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id: 2725226
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 85568599112026614, 'p': 3}
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id: 2725227
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 85568599112026614, 'p': 5}
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id: 2725228
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 85568599112026614, 'p': 7}
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id: 2725229
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 85568599112026614, 'p': 11}
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id: 2725230
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 85568599112026614, 'p': 13}
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id: 2725231
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 85568599112026614, 'p': 17}
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id: 2725232
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 85568599112026614, 'p': 19}
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id: 2725233
{'charpoly_factorization': [[[25, 0, 1], 1]], 'hecke_orbit_code': 85568599112026614, 'p': 23}
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id: 2725234
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 85568599112026614, 'p': 29}
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id: 2725235
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 85568599112026614, 'p': 31}
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id: 2725236
{'charpoly_factorization': [[[9, 0, 1], 1]], 'hecke_orbit_code': 85568599112026614, 'p': 37}
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id: 2725237
{'charpoly_factorization': [[[-5, 1], 2]], 'hecke_orbit_code': 85568599112026614, 'p': 41}
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id: 2725238
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 85568599112026614, 'p': 43}
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id: 2725239
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 85568599112026614, 'p': 47}
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id: 2725240
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 85568599112026614, 'p': 53}
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id: 2725241
{'charpoly_factorization': [[[-3, 1], 2]], 'hecke_orbit_code': 85568599112026614, 'p': 59}
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id: 2725242
{'charpoly_factorization': [[[-5, 1], 2]], 'hecke_orbit_code': 85568599112026614, 'p': 61}
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id: 2725243
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 85568599112026614, 'p': 67}
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id: 2725244
{'charpoly_factorization': [[[-5, 1], 2]], 'hecke_orbit_code': 85568599112026614, 'p': 71}
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id: 2725245
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 85568599112026614, 'p': 73}
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id: 2725246
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 85568599112026614, 'p': 79}
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id: 2725247
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 85568599112026614, 'p': 83}
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id: 2725248
{'charpoly_factorization': [[[14, 1], 2]], 'hecke_orbit_code': 85568599112026614, 'p': 89}
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id: 2725249
{'charpoly_factorization': [[[256, 0, 1], 1]], 'hecke_orbit_code': 85568599112026614, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 4, 'hecke_orbit': 20, 'label': '2550.2.d.t', 'level': 2550, 'portrait': 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'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 248682000
{'hecke_orbit_code': 85568599112026614, 'n': 1, 'trace_an': 2}
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id: 248682001
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