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mf_newforms • Show schema
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{'Nk2': 8736, 'analytic_conductor': 17.439327801447636, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [7, -1], [13, 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': [2184, 1, [1639, 1093, 1457, 1249, 2017], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [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, [0, 1]], [11, [2, 1]], [17, [6, 1]]], 'hecke_orbit': 12, 'hecke_orbit_code': 49539595934632072, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '2184.2.a.l', 'level': 2184, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 13], 'level_radical': 546, 'minimal_twist': '2184.2.a.l', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+q^{7}+q^{9}-2q^{11}-q^{13}-6q^{17}+\\cdots', 'related_objects': ['EllipticCurve/Q/2184/l'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2184.2.a', 'trace_display': [0, 1, 0, 1], 'trace_hash': 1779293900219875300, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.023', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [1], [0], [0], [0], [1], [0], [1], [0], [-2], [0], [-1], [0], [0], [0], [-6], [0], [-8], [0], [1], [0], [-4], [0], [-5], [0], [1], [0], [-6], [0], [4], [0], [-2], [0], [0], [0], [-2], [0], [-1], [0], [0], [0], [4], [0], [0], [0], [-6], [0], [1], [0], [-6], [0], [6], [0], [0], [0], [-8], [0], [10], [0], [10], [0], [1], [0], [0], [0], [-4], [0], [-4], [0], [-6], [0], [6], [0], [-5], [0], [-2], [0], [0], [0], [1], [0], [6], [0], [0], [0], [-6], [0], [-12], [0], [-1], [0], [4], [0], [0], [0], [-2], [0], [-2], [0]], 'ap': [[0], [1], [0], [1], [-2], [-1], [-6], [-8], [-4], [-6], [4], [-2], [0], [4], [-6], [6], [10], [10], [-4], [-6], [6], [0], [6], [-12], [-2], [-14], [8], [0], [-6], [-10], [0], [0], [8], [20], [12], [-4], [-18], [8], [2], [-22], [4], [6], [-8], [10], [0], [-16], [4], [4], [18], [-6], [-26], [-6], [22], [16], [-18], [4], [-30], [0], [-18], [-8], [28], [-12], [20], [4], [-10], [8], [4], [-2], [-12], [30], [-16], [10], [-24], [-6], [-32], [14], [-18], [-18], [-36], [30], [-16], [10], [6], [14], [-16], [-24], [-12], [-34], [-8], [-8], [24], [-2], [4], [-32], [-28], [36], [-24], [22], [-36], [10], [44], [36], [12], [22], [-12], [18], [14], [-20], [12], [38], [24], [22], [-32], [44], [-12], [2], [44], [-32], [10], [36], [-34], [-14], [22], [14], [-28], [-50], [50], [-36], [-48], [34], [4], [-38], [-48], [-22], [48], [-38], [20], [-28], [-18], [30], [8], [36], [-48], [22], [34], [30], [14], [-18], [4], [-26], [-34], [38], [20], [0], [-44], [-8], [-40], [-16], [-2], [-12], [42], [-18], [-4], [-36], [-52], [46], [-48], [-26], [-10], [-6], [42], [30], [-52], [62], [8], [-6], [-52], [12], [-8], [-62], [-48], [12], [58], [-36], [-22], [6], [-18], [0], [-42], [-46], [-6], [22], [-20], [-28], [28], [6], [-14], [-46], [36], [24], [-16], [-16], [2], [26], [10], [70], [28], [-48], [20], [-28], [-2], [30], [16], [38], [6], [-62], [-64], [-30], [-62], [28], [-10], [16], [20], [-12], [-8], [-10], [42], [-20], [64], [34], [14], [-44], [32], [-6], [36], [66], [-58], [60], [20], [24], [-26], [76], [56], [-42], [-44], [-44], [32], [18], [-16], [20], [-22], [32], [70], [70], [74], [-18], [-54], [-32], [6], [-14], [16], [-60], [-14], [-66], [-36], [44], [72], [48], [-4], [42], [-62], [60], [14], [48], [30], [-80], [-6], [-74], [2], [-8], [-16], [-8], [-72], [-10], [68], [24], [-2], [-36], [-44], [-50], [54], [4], [12], [2], [-2], [-42], [-64], [6], [-60], [-60], [26], [-8], [32], [44], [68], [62], [-36], [-34], [54], [82], [68], [16], [62], [20], [50], [38], [-54], [30], [70], [-38], [-44], [58], [-82], [-44], [4], [-34], [-56], [4], [-24], [26], [-78], [-78], [40], [86], [-80], [14], [22], [-72], [14], [-48], [-50], [-50], [-44], [32], [72], [84], [90], [64], [-70], [22], [-68], [-42], [4], [16], [-6], [14], [34], [34], [-34], [30], [6], [26], [-20], [26], [60], [26], [16], [-36], [-6], [-88], [-44], [-6], [78], [-8], [46], [-98], [32], [-46], [34], [10], [-20], [-48], [-8], [68], [8], [70], [40], [42], [-24], [-76], [-42], [36], [-42], [-4], [50], [-26], [-40], [-86], [52], [-88], [-10], [90], [56], [-12], [-80], [32], [-46], [60], [92], [30], [50], [-18], [-44], [92], [98], [30], [-62], [96], [-68], [-36], [26], [70], [34], [-32], [-14], [-100], [8], [-36], [-64], [0]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 49539595934632072, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '2184.2.a.l', 'level': 2184, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [7, -1], [13, -1]], 1, 1], [[[2, 1], [3, -1], [7, 1], [13, 1]], 2, 1], [[[2, 1], [3, 1], [7, 1], [13, 1]], 1, 1], [[[2, -1], [3, 1], [7, -1], [13, 1]], 2, 1], [[[2, -1], [3, 1], [7, -1], [13, -1]], 2, 2], [[[2, 1], [3, -1], [7, -1], [13, -1]], 3, 1], [[[2, -1], [3, -1], [7, 1], [13, -1]], 3, 1], [[[2, 1], [3, -1], [7, 1], [13, -1]], 2, 1], [[[2, 1], [3, -1], [7, -1], [13, 1]], 2, 2], [[[2, 1], [3, 1], [7, -1], [13, 1]], 4, 4], [[[2, -1], [3, -1], [7, -1], [13, 1]], 4, 2], [[[2, -1], [3, 1], [7, 1], [13, -1]], 3, 2], [[[2, -1], [3, -1], [7, 1], [13, 1]], 1, 1], [[[2, 1], [3, 1], [7, 1], [13, -1]], 4, 1], [[[2, -1], [3, 1], [7, 1], [13, 1]], 2, 1]], 'ALdims': [1, 4, 4, 0, 2, 2, 2, 3, 2, 3, 2, 2, 1, 3, 4, 1], 'Nk2': 8736, 'analytic_conductor': 17.439327801447636, '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': [2184, 1, [1639, 1093, 1457, 1249, 2017], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 433, 'dim': 36, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 17], 'hecke_orbit_code': 33556616, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 4], 'label': '2184.2.a', 'level': 2184, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 13], 'level_radical': 546, 'mf_dim': 464, 'mf_new_dim': 36, 'num_forms': 22, 'plus_dim': 12, 'prim_orbit_index': 1, 'relative_dim': 36, 'sturm_bound': 896, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [36, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 0, 0, 32, 0, 36, 0, 0, 0, 16, 0, 32, 0, 16, 0, 16, 0, 16, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 24, 0, 36, 0, -32, 0, 0, 0, 8, 0, 32, 0, -12, 0, 0, 0, 24, 0, 16, 0, 0, 0, 48, 0, -24, 0, 0, 0, 40, 0, 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0, 32, 0, 144, 0, -32, 0, 0, 0, 16, 0, 16, 0, 304, 0, 528, 0, 16, 0, 128, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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-
id: 890778
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': True, 'source_label': '2184.2.a.l', 'source_level': 2184, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': True, 'target_label': '2184.2.a.l', 'target_level': 2184, 'twist_class_label': '2184.2.a.l', 'twist_class_level': 2184, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 890779
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': True, 'source_label': '2184.2.a.l', 'source_level': 2184, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '4368.2.a.f', 'target_level': 4368, 'twist_class_label': '2184.2.a.l', 'twist_class_level': 2184, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 890780
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': True, 'source_label': '2184.2.a.l', 'source_level': 2184, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '6552.2.a.p', 'target_level': 6552, 'twist_class_label': '2184.2.a.l', 'twist_class_level': 2184, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2481700
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 49539595934632072, 'p': 2}
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id: 2481701
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 49539595934632072, 'p': 3}
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id: 2481702
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 49539595934632072, 'p': 5}
-
id: 2481703
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 49539595934632072, 'p': 7}
-
id: 2481704
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 49539595934632072, 'p': 11}
-
id: 2481705
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 49539595934632072, 'p': 13}
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id: 2481706
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 49539595934632072, 'p': 17}
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id: 2481707
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 49539595934632072, 'p': 19}
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id: 2481708
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 49539595934632072, 'p': 23}
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id: 2481709
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 49539595934632072, 'p': 29}
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id: 2481710
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 49539595934632072, 'p': 31}
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id: 2481711
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 49539595934632072, 'p': 37}
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id: 2481712
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 49539595934632072, 'p': 41}
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id: 2481713
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 49539595934632072, 'p': 43}
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id: 2481714
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 49539595934632072, 'p': 47}
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id: 2481715
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 49539595934632072, 'p': 53}
-
id: 2481716
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 49539595934632072, 'p': 59}
-
id: 2481717
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 49539595934632072, 'p': 61}
-
id: 2481718
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 49539595934632072, 'p': 67}
-
id: 2481719
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 49539595934632072, 'p': 71}
-
id: 2481720
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 49539595934632072, 'p': 73}
-
id: 2481721
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 49539595934632072, 'p': 79}
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id: 2481722
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 49539595934632072, 'p': 83}
-
id: 2481723
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 49539595934632072, 'p': 89}
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id: 2481724
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 49539595934632072, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 12, 'label': '2184.2.a.l', 'level': 2184, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 216122000
{'hecke_orbit_code': 49539595934632072, 'n': 1, 'trace_an': 1}
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id: 216122001
{'hecke_orbit_code': 49539595934632072, 'n': 2, 'trace_an': 0}
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id: 216122002
{'hecke_orbit_code': 49539595934632072, 'n': 3, 'trace_an': 1}
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id: 216122003
{'hecke_orbit_code': 49539595934632072, 'n': 4, 'trace_an': 0}
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id: 216122004
{'hecke_orbit_code': 49539595934632072, 'n': 5, 'trace_an': 0}
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id: 216122005
{'hecke_orbit_code': 49539595934632072, 'n': 6, 'trace_an': 0}
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id: 216122006
{'hecke_orbit_code': 49539595934632072, 'n': 7, 'trace_an': 1}
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id: 216122007
{'hecke_orbit_code': 49539595934632072, 'n': 8, 'trace_an': 0}
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id: 216122008
{'hecke_orbit_code': 49539595934632072, 'n': 9, 'trace_an': 1}
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id: 216122009
{'hecke_orbit_code': 49539595934632072, 'n': 10, 'trace_an': 0}
-
id: 216122010
{'hecke_orbit_code': 49539595934632072, 'n': 11, 'trace_an': -2}
-
id: 216122011
{'hecke_orbit_code': 49539595934632072, 'n': 12, 'trace_an': 0}
-
id: 216122012
{'hecke_orbit_code': 49539595934632072, 'n': 13, 'trace_an': -1}
-
id: 216122013
{'hecke_orbit_code': 49539595934632072, 'n': 14, 'trace_an': 0}
-
id: 216122014
{'hecke_orbit_code': 49539595934632072, 'n': 15, 'trace_an': 0}
-
id: 216122015
{'hecke_orbit_code': 49539595934632072, 'n': 16, 'trace_an': 0}
-
id: 216122016
{'hecke_orbit_code': 49539595934632072, 'n': 17, 'trace_an': -6}
-
id: 216122017
{'hecke_orbit_code': 49539595934632072, 'n': 18, 'trace_an': 0}
-
id: 216122018
{'hecke_orbit_code': 49539595934632072, 'n': 19, 'trace_an': -8}
-
id: 216122019
{'hecke_orbit_code': 49539595934632072, 'n': 20, 'trace_an': 0}
-
id: 216122020
{'hecke_orbit_code': 49539595934632072, 'n': 21, 'trace_an': 1}
-
id: 216122021
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