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mf_newforms • Show schema
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{'Nk2': 7400, 'analytic_conductor': 14.772324373936872, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [1850, 2, [1777, 1001], [1, 2]], 'cm_discs': [], 'conrey_index': 149, 'conrey_indexes': [149], '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': [[3, [4, 0, 1]], [7, [0, 1]], [13, [4, 0, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525266144626490, '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': 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, -1], [0, 2], [-1, 0], [0, 0], [2, 0], [0, 0], [0, 1], [-1, 0], [0, 0], [4, 0], [0, -2], [0, -2], [0, 0], [0, 0], [1, 0], [0, -8], [0, 1], [5, 0], [0, 0], [0, 0], [0, -4], [0, 1], [-2, 0], [0, 0], [-2, 0], [0, 4], [0, 0], [-10, 0], [0, 0], [-4, 0], [0, -1], [0, 8], [-8, 0], [0, 0], [1, 0], [0, -1], [0, -5], [4, 0], [0, 0], [7, 0], [0, 0], [0, -9], [-4, 0], [0, 0], [1, 0], [0, -6], [0, 2], [7, 0], [0, 0], [16, 0], [0, 2], [0, -3], [4, 0], [0, 0], [0, 0], [0, 10], [0, 10], [11, 0], [0, 0], [2, 0], [0, 4], [0, 0], [-1, 0], [0, 0], [8, 0], [0, -2], [0, 8], [-2, 0], [0, 0], [14, 0], [0, -1], [0, 3], [-1, 0], [0, 0], [-5, 0], [0, 0], [0, -4], [11, 0], [0, 0], [-11, 0], [0, -7], [0, 8], [0, 0], [0, 0], [-9, 0], [0, -20], [0, 4], [2, 0], [0, 0], [0, 0], [0, -1], [0, -8], [-6, 0], [0, 0], [2, 0], [0, 8], [0, -7], [-4, 0], [0, 0]], 'ap': [[0, -1], [0, 2], [0, 0], [0, 0], [4, 0], [0, -2], [0, -8], [5, 0], [0, 1], [-10, 0], [-4, 0], [0, -1], [7, 0], [0, -9], [0, -6], [0, -3], [11, 0], [2, 0], [0, -2], [14, 0], [0, 3], [11, 0], [0, 8], [2, 0], [0, 8], [-9, 0], [0, 17], [0, 10], [16, 0], [0, -2], [0, -4], [-12, 0], [0, 10], [6, 0], [-3, 0], [-8, 0], [0, -7], [0, -9], [0, -23], [0, -2], [12, 0], [-7, 0], [-19, 0], [0, 20], [0, -7], [-1, 0], [-22, 0], [0, 6], [0, 7], [1, 0], [0, -29], [13, 0], [10, 0], [-21, 0], [0, -8], [0, 14], [-31, 0], [-4, 0], [0, -10], [28, 0], [0, 3], [0, 9], [0, 12], [21, 0], [0, -10], [0, 27], [-24, 0], [0, 1], [0, -33], [7, 0], [0, -4], [26, 0], [0, -14], [0, 22], [-16, 0], [0, -29], [-32, 0], [0, 13], [-2, 0], [-16, 0], [-8, 0], [-26, 0], [-3, 0], [0, 26], [-3, 0], [0, 0], [30, 0], [0, 24], [24, 0], [0, 24], [0, -36], [-24, 0], [0, 24], [34, 0], [29, 0], [0, -36], [11, 0], [15, 0], [0, -20], [-30, 0], [0, 4], [0, 0], [0, 27], [-44, 0], [-6, 0], [0, 44], [0, -27], [0, 31], [0, 0], [-37, 0], [0, 8], [0, 43], [0, -18], [10, 0], [-40, 0], [11, 0], [0, -28], [0, -7], [0, -30], [0, 0], [4, 0], [0, 19], [0, 3], [0, 16], [10, 0], [-10, 0], [-24, 0], [-28, 0], [0, 0], [0, 2], [-18, 0], [0, -34], [26, 0], [0, 8], [13, 0], [46, 0], [0, 42], [0, 4], [0, -32], [-8, 0], [44, 0], [45, 0], [0, 34], [0, 12], [16, 0], [6, 0], [0, -30], [0, 6], [-51, 0], [0, 6], [0, -27], [-15, 0], [0, 32], [0, -42], [0, 3], [5, 0], [-24, 0], [-34, 0], [0, -38], [6, 0], [0, 41], [0, 41], [0, 13], [20, 0], [0, -62], [0, -42], [-23, 0], [0, 60], [-25, 0], [0, 48], [8, 0], [0, 0], [0, 0], [0, -1], [-40, 0], [-10, 0], [3, 0], [15, 0], [0, -36], [-50, 0], [0, 57], [9, 0], [0, 16], [0, -32], [0, 66], [-45, 0], [0, 47], [0, 19], [14, 0], [-10, 0], [0, -14], [0, 34], [-21, 0], [-42, 0], [0, 12], [0, -35], [30, 0], [0, 68], [0, 2], [0, -36], [62, 0], [30, 0], [0, -23], [-38, 0], [-60, 0], [0, -48], [56, 0], [0, -8], [-6, 0], [-20, 0], [0, -2], [-36, 0], [0, 32], [0, 28], [45, 0], [-45, 0], [0, 31], [54, 0], [0, -21], [0, 6], [-49, 0], [26, 0], [-54, 0], [0, 39], [0, 32], [26, 0], [0, -59], [-10, 0], [0, -48], [27, 0], [0, 11], [8, 0], [0, 0], [-7, 0], [0, 4], [0, 52], [-53, 0], [0, 72], [15, 0], [68, 0], [0, -23], [4, 0], [0, -4], [-40, 0], [0, -3], [-23, 0], [0, -8], [-63, 0], [32, 0], [0, -33], [0, 52], [30, 0], [0, 18], [56, 0], [0, -52], [60, 0], [41, 0], [0, 6], [0, 18], [0, 44], [0, -48], [0, 9], [-61, 0], [0, -55], [0, -48], [-22, 0], [-6, 0], [-72, 0], [0, -14], [0, -38], [42, 0], [0, 23], [0, 46], [39, 0], [0, -9], [0, -44], [0, 42], [44, 0], [-77, 0], [-52, 0], [0, 84], [39, 0], [0, -16], [9, 0], [0, -8], [-8, 0], [0, -50], [0, 69], [-57, 0], [-2, 0], [-60, 0], [0, 35], [0, 26], [-42, 0], [0, 14], [14, 0], [40, 0], [0, 57], [75, 0], [0, 14], [0, -38], [0, 27], [-2, 0]], 'char_orbit_index': 2, 'field_poly': [1, 0, 1], 'hecke_orbit_code': 31525266144626490, 'hecke_ring_character_values': [[1777, [-1, 0]], [1001, [1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '1850.2.b.h', 'level': 1850, 'maxp': 1999, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 7400, 'analytic_conductor': 14.772324373936872, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [1850, 2, [1777, 1001], [1, 2]], 'conrey_index': 149, 'cusp_dim': 274, 'dim': 54, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 13], 'hecke_orbit_code': 68753033018, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 6, 6, 6], 'label': '1850.2.b', 'level': 1850, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 37], 'level_radical': 370, 'mf_dim': 298, 'mf_new_dim': 54, 'num_forms': 16, 'prim_orbit_index': 2, 'relative_dim': 54, 'sturm_bound': 570, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [54, 0, 0, -54, 0, 4, 0, 0, -78, 0, 8, 0, 0, 0, 0, 54, 0, 0, 20, 0, 8, 0, 0, -4, 0, 0, 0, 0, 4, 0, -8, 0, 0, 0, 0, 78, 0, 0, 24, 0, 8, 0, 0, -8, 0, 24, 0, 0, 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472, 0, 0, -132, 0, 8, 0, 0, -424, 0, 108, 0, 0, 0, 0, -160, 0, 0, 8, 0, 492, 0, 0, -336, 0, 6, 0, 0, 216, 0, 128, 0, 0, -24, 0, 216, 0, 0, -244, 0, -72, 0, 0, -384, 0, 44, 0, 0, -1184, 0, -112, 0, 0, -36, 0, 248, 0, 0, -44, 0, -128, 0, 0, -320, 0, -104, 0, 0, 424, 0, -88, 0, 0, 8, 0, 276, 0, 0, 760, 0, -120, 0, 0, -412, 0, -200, 0, 0, 352, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 826441
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1850.2.b.h', 'source_level': 1850, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '1850.2.a.b', 'target_level': 1850, 'twist_class_label': '1850.2.a.b', 'twist_class_level': 1850, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 826442
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1850.2.b.h', 'source_level': 1850, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': True, 'target_label': '1850.2.a.n', 'target_level': 1850, 'twist_class_label': '1850.2.a.b', 'twist_class_level': 1850, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 826443
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1850.2.b.h', 'source_level': 1850, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1850.2.b.h', 'target_level': 1850, 'twist_class_label': '1850.2.a.b', 'twist_class_level': 1850, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 826444
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1850.2.b.h', 'source_level': 1850, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1850.2.b.h', 'target_level': 1850, 'twist_class_label': '1850.2.a.b', 'twist_class_level': 1850, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2253125
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 31525266144626490, 'p': 2}
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id: 2253126
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 31525266144626490, 'p': 3}
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id: 2253127
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 31525266144626490, 'p': 5}
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id: 2253128
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 31525266144626490, 'p': 7}
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id: 2253129
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 31525266144626490, 'p': 11}
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id: 2253130
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 31525266144626490, 'p': 13}
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id: 2253131
{'charpoly_factorization': [[[64, 0, 1], 1]], 'hecke_orbit_code': 31525266144626490, 'p': 17}
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id: 2253132
{'charpoly_factorization': [[[-5, 1], 2]], 'hecke_orbit_code': 31525266144626490, 'p': 19}
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id: 2253133
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 31525266144626490, 'p': 23}
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id: 2253134
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 31525266144626490, 'p': 29}
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id: 2253135
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 31525266144626490, 'p': 31}
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id: 2253136
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 31525266144626490, 'p': 37}
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id: 2253137
{'charpoly_factorization': [[[-7, 1], 2]], 'hecke_orbit_code': 31525266144626490, 'p': 41}
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id: 2253138
{'charpoly_factorization': [[[81, 0, 1], 1]], 'hecke_orbit_code': 31525266144626490, 'p': 43}
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id: 2253139
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 31525266144626490, 'p': 47}
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id: 2253140
{'charpoly_factorization': [[[9, 0, 1], 1]], 'hecke_orbit_code': 31525266144626490, 'p': 53}
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id: 2253141
{'charpoly_factorization': [[[-11, 1], 2]], 'hecke_orbit_code': 31525266144626490, 'p': 59}
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id: 2253142
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 31525266144626490, 'p': 61}
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id: 2253143
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 31525266144626490, 'p': 67}
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id: 2253144
{'charpoly_factorization': [[[-14, 1], 2]], 'hecke_orbit_code': 31525266144626490, 'p': 71}
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id: 2253145
{'charpoly_factorization': [[[9, 0, 1], 1]], 'hecke_orbit_code': 31525266144626490, 'p': 73}
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id: 2253146
{'charpoly_factorization': [[[-11, 1], 2]], 'hecke_orbit_code': 31525266144626490, 'p': 79}
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id: 2253147
{'charpoly_factorization': [[[64, 0, 1], 1]], 'hecke_orbit_code': 31525266144626490, 'p': 83}
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id: 2253148
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 31525266144626490, 'p': 89}
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id: 2253149
{'charpoly_factorization': [[[64, 0, 1], 1]], 'hecke_orbit_code': 31525266144626490, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 2, 'hecke_orbit': 8, 'label': '1850.2.b.h', 'level': 1850, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 192741000
{'hecke_orbit_code': 31525266144626490, 'n': 1, 'trace_an': 2}
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id: 192741001
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id: 192741988
{'hecke_orbit_code': 31525266144626490, 'n': 989, 'trace_an': 18}
-
id: 192741989
{'hecke_orbit_code': 31525266144626490, 'n': 990, 'trace_an': 0}
-
id: 192741990
{'hecke_orbit_code': 31525266144626490, 'n': 991, 'trace_an': -46}
-
id: 192741991
{'hecke_orbit_code': 31525266144626490, 'n': 992, 'trace_an': 0}
-
id: 192741992
{'hecke_orbit_code': 31525266144626490, 'n': 993, 'trace_an': 0}
-
id: 192741993
{'hecke_orbit_code': 31525266144626490, 'n': 994, 'trace_an': 0}
-
id: 192741994
{'hecke_orbit_code': 31525266144626490, 'n': 995, 'trace_an': 0}
-
id: 192741995
{'hecke_orbit_code': 31525266144626490, 'n': 996, 'trace_an': 32}
-
id: 192741996
{'hecke_orbit_code': 31525266144626490, 'n': 997, 'trace_an': 0}
-
id: 192741997
{'hecke_orbit_code': 31525266144626490, 'n': 998, 'trace_an': 0}
-
id: 192741998
{'hecke_orbit_code': 31525266144626490, 'n': 999, 'trace_an': 8}
-
id: 192741999
{'hecke_orbit_code': 31525266144626490, 'n': 1000, 'trace_an': 0}