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{'Nk2': 12936, 'analytic_conductor': 25.823620013682078, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [7, -1], [11, -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': [3234, 1, [1079, 199, 2059], [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, [2, 1]], [13, [4, 1]], [17, [6, 1]]], 'hecke_orbit': 21, 'hecke_orbit_code': 90071992580967586, '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': '3234.2.a.u', 'level': 3234, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 11], 'level_radical': 462, 'minimal_twist': '3234.2.a.r', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{3}+q^{4}-2q^{5}+q^{6}+q^{8}+\\cdots', 'related_objects': ['EllipticCurve/Q/3234/u'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3234.2.a', 'trace_display': [1, 1, -2, 0], 'trace_hash': 1135313576195128494, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.003', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.977', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1], [1], [1], [1], [-2], [1], [0], [1], [1], [-2], [1], [1], [-4], [0], [-2], [1], [-6], [1], [-2], [-2], [0], [1], [0], [1], [-1], [-4], [1], [0], [-6], [-2], [-2], [1], [1], [-6], [0], [1], [2], [-2], [-4], [-2], [2], [0], [-12], [1], [-2], [0], [6], [1], [0], [-1], [-6], [-4], [10], [1], [-2], [0], [-2], [-6], [-8], [-2], [-4], [-2], [0], [1], [8], [1], [0], [-6], [0], [0], [-8], [1], [-6], [2], [-1], [-2], [0], [-4], [12], [-2], [1], [2], [-6], [0], [12], [-12], [-6], [1], [12], [-2], [0], [0], [-2], [6], [4], [1], [0], [0], [1], [-1]], 'ap': [[1], [1], [-2], [0], [1], [-4], [-6], [-2], [0], [-6], [-2], [2], [2], [-12], [6], [10], [-8], [-4], [0], [-8], [-6], [12], [-6], [12], [0], [-12], [-6], [-12], [-10], [14], [4], [-2], [10], [10], [10], [-16], [-14], [-12], [-12], [24], [0], [-18], [0], [-14], [-18], [-14], [20], [14], [6], [6], [26], [-16], [-22], [0], [-20], [4], [6], [28], [10], [2], [-14], [-8], [26], [34], [20], [18], [-24], [-26], [20], [16], [12], [20], [22], [6], [-20], [-6], [22], [34], [-30], [-2], [-12], [14], [12], [-8], [-28], [24], [-18], [-6], [-12], [16], [-28], [0], [-16], [-20], [-40], [28], [30], [-28], [2], [-2], [-20], [-26], [14], [34], [4], [28], [24], [-22], [-32], [46], [8], [-6], [-18], [4], [-40], [6], [-40], [10], [-18], [-12], [-18], [-18], [48], [16], [-40], [14], [-38], [-46], [30], [-12], [-4], [0], [0], [-30], [-34], [14], [26], [38], [-6], [14], [34], [42], [40], [-36], [-10], [42], [-36], [-42], [8], [56], [-2], [-24], [-52], [-40], [-8], [40], [40], [44], [-38], [-48], [12], [-2], [8], [-60], [-2], [38], [-40], [8], [50], [46], [28], [2], [-24], [-26], [50], [0], [-28], [46], [-20], [-40], [-8], [-18], [-30], [-58], [-16], [-26], [-50], [52], [-26], [-20], [12], [-36], [56], [-46], [-20], [60], [62], [-54], [-22], [52], [50], [-52], [-38], [-30], [-36], [-18], [26], [-4], [-66], [-60], [-50], [-30], [8], [-24], [-44], [20], [44], [6], [-24], [22], [-54], [-36], [-34], [40], [54], [22], [24], [-40], [68], [52], [-46], [-34], [16], [-42], [-12], [52], [56], [-54], [-20], [-18], [-8], [-34], [10], [14], [-50], [20], [2], [0], [-12], [28], [-34], [42], [16], [-8], [-32], [-44], [34], [-54], [-42], [-62], [40], [36], [-36], [-40], [48], [80], [-6], [0], [4], [-6], [74], [-68], [-76], [4], [-22], [70], [-28], [30], [74], [10], [24], [16], [40], [-16], [-66], [-24], [-26], [-6], [10], [54], [-62], [-52], [-54], [-62], [66], [-52], [-54], [-66], [-10], [18], [14], [46], [-20], [72], [68], [-62], [44], [-10], [-24], [-70], [0], [30], [2], [40], [-48], [-14], [72], [-68], [44], [2], [6], [54], [-24], [-8], [-42], [-36], [84], [-4], [-28], [-26], [30], [-50], [28], [-58], [60], [-12], [-30], [-34], [40], [-32], [86], [-18], [-24], [72], [30], [-44], [38], [4], [-16], [26], [-86], [-74], [10], [96], [-30], [14], [6], [-50], [22], [24], [50], [-90], [-32], [36], [-28], [-74], [32], [-28], [58], [4], [-68], [-12], [14], [-80], [-34], [-44], [-60], [70], [34], [-14], [-62], [66], [-36], [102], [82], [26], [-8], [-82], [20], [-42], [62], [-30], [-68], [-40], [-96], [46], [-32], [-24], [64], [-58], [36], [34], [48], [40], [72], [-60], [-34], [22], [52], [-76], [42], [18], [84], [60], [86], [18], [-44], [94], [88], [64], [54], [68], [-88], [42], [52], [42], [48], [-78], [-92], [56]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 90071992580967586, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '3234.2.a.u', 'level': 3234, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [7, -1], [11, -1]], 1, 1], [[[2, 1], [3, -1], [7, 1], [11, 1]], 6, 3], [[[2, -1], [3, 1], [7, 1], [11, 1]], 5, 2], [[[2, 1], [3, 1], [7, -1], [11, -1]], 4, 3], [[[2, -1], [3, -1], [7, 1], [11, 1]], 2, 1], [[[2, -1], [3, 1], [7, -1], [11, -1]], 6, 4], [[[2, 1], [3, -1], [7, -1], [11, -1]], 5, 4], [[[2, -1], [3, -1], [7, 1], [11, -1]], 7, 2], [[[2, -1], [3, -1], [7, -1], [11, 1]], 7, 4], [[[2, 1], [3, -1], [7, 1], [11, -1]], 3, 2], [[[2, -1], [3, 1], [7, -1], [11, 1]], 3, 2], [[[2, 1], [3, 1], [7, 1], [11, 1]], 5, 2], [[[2, 1], [3, 1], [7, -1], [11, 1]], 4, 4], [[[2, -1], [3, 1], [7, 1], [11, -1]], 4, 1], [[[2, 1], [3, 1], [7, 1], [11, -1]], 4, 2], [[[2, 1], [3, -1], [7, -1], [11, 1]], 2, 2]], 'ALdims': [5, 4, 4, 4, 6, 3, 2, 5, 5, 4, 3, 6, 2, 7, 7, 1], 'Nk2': 12936, 'analytic_conductor': 25.823620013682078, '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': [3234, 1, [1079, 199, 2059], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 641, 'dim': 68, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 13, 17], 'hecke_orbit_code': 33557666, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4], 'label': '3234.2.a', 'level': 3234, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 11], 'level_radical': 462, 'mf_dim': 704, 'mf_new_dim': 68, 'num_forms': 39, 'plus_dim': 24, 'prim_orbit_index': 1, 'relative_dim': 68, 'sturm_bound': 1344, 'trace_bound': 17, 'trace_display': [2, -2, 4, 0], 'traces': [68, 2, -2, 68, 4, 0, 0, 2, 68, 4, 0, -2, 0, 0, 0, 68, 12, 2, -4, 4, 0, 2, -4, 0, 52, 16, -2, 0, -12, 0, -24, 2, -2, 0, 0, 68, 56, -4, 36, 4, 12, 0, 12, 0, 4, 0, 12, -2, 0, 62, -8, 0, 60, 0, 0, 0, 44, 64, -8, 0, 24, 16, 0, 68, 72, -4, 40, 12, -4, 0, 4, 2, 24, 68, -6, 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mf_twists_nf • Show schema
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id: 1068409
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 21, 'source_is_minimal': True, 'source_label': '3234.2.a.u', 'source_level': 3234, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 18, 'target_is_minimal': True, 'target_label': '3234.2.a.r', 'target_level': 3234, 'twist_class_label': '3234.2.a.r', 'twist_class_level': 3234, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1068410
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 21, 'source_is_minimal': True, 'source_label': '3234.2.a.u', 'source_level': 3234, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 21, 'target_is_minimal': True, 'target_label': '3234.2.a.u', 'target_level': 3234, 'twist_class_label': '3234.2.a.r', 'twist_class_level': 3234, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1068411
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 21, 'source_is_minimal': True, 'source_label': '3234.2.a.u', 'source_level': 3234, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '9702.2.a.g', 'target_level': 9702, 'twist_class_label': '3234.2.a.r', 'twist_class_level': 3234, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1068412
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 21, 'source_is_minimal': True, 'source_label': '3234.2.a.u', 'source_level': 3234, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '9702.2.a.q', 'target_level': 9702, 'twist_class_label': '3234.2.a.r', 'twist_class_level': 3234, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3074400
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 90071992580967586, 'p': 2}
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id: 3074401
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 90071992580967586, 'p': 3}
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id: 3074402
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 90071992580967586, 'p': 5}
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id: 3074403
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 90071992580967586, 'p': 7}
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id: 3074404
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 90071992580967586, 'p': 11}
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id: 3074405
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 90071992580967586, 'p': 13}
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id: 3074406
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 90071992580967586, 'p': 17}
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id: 3074407
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 90071992580967586, 'p': 19}
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id: 3074408
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 90071992580967586, 'p': 23}
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id: 3074409
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 90071992580967586, 'p': 29}
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id: 3074410
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 90071992580967586, 'p': 31}
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id: 3074411
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 90071992580967586, 'p': 37}
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id: 3074412
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 90071992580967586, 'p': 41}
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id: 3074413
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 90071992580967586, 'p': 43}
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id: 3074414
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 90071992580967586, 'p': 47}
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id: 3074415
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 90071992580967586, 'p': 53}
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id: 3074416
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 90071992580967586, 'p': 59}
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id: 3074417
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 90071992580967586, 'p': 61}
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id: 3074418
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 90071992580967586, 'p': 67}
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id: 3074419
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 90071992580967586, 'p': 71}
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id: 3074420
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 90071992580967586, 'p': 73}
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id: 3074421
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 90071992580967586, 'p': 79}
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id: 3074422
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 90071992580967586, 'p': 83}
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id: 3074423
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 90071992580967586, 'p': 89}
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id: 3074424
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 90071992580967586, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 21, 'label': '3234.2.a.u', 'level': 3234, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 249116000
{'hecke_orbit_code': 90071992580967586, 'n': 1, 'trace_an': 1}
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id: 249116001
{'hecke_orbit_code': 90071992580967586, 'n': 2, 'trace_an': 1}
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id: 249116002
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id: 249116975
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id: 249116976
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id: 249116977
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id: 249116978
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id: 249116979
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id: 249116980
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id: 249116983
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id: 249116984
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id: 249116985
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id: 249116986
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id: 249116990
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id: 249116991
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id: 249116992
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id: 249116993
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id: 249116994
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id: 249116995
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id: 249116996
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id: 249116997
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id: 249116998
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id: 249116999
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