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mf_newforms • Show schema
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{'Nk2': 1764, 'analytic_conductor': 7.858807170836051, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[7, -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': [49, 1, [3], [1]], 'cm_discs': [], 'conrey_index': 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': [[2, [10, 1]], [3, [-14, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 100663345, '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '49.6.a.a', 'level': 49, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [7], 'level_radical': 7, 'minimal_twist': '7.6.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-10q^{2}+14q^{3}+68q^{4}+56q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '5.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '49.6.a', 'trace_display': [-10, 14, 56, 0], 'trace_hash': 1884585512691286107, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.024', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.982', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.069', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.947', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.200', 'prec': 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mf_hecke_nf • Show schema
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{'an': [[1], [-10], [14], [68], [56], [-140], [0], [-360], [-47], [-560], [232], [952], [140], [0], [784], [1424], [1722], [470], [98], [3808], [0], [-2320], [1824], [-5040], [11], [-1400], [-4060], [0], [3418], [-7840], [7644], [-2720], [3248], [-17220], [0], [-3196], [-10398], [-980], [1960], [-20160], [17962], [0], [10880], [15776], [-2632], [-18240], [-9324], [19936], [0], [-110], [24108], [9520], [2262], [40600], [12992], [0], [1372], [-34180], [2730], [53312], [-25648], [-76440], [0], [-18368], [7840], [-32480], [-48404], [117096], [25536], [0], [-58560], [16920], [-68082], [103980], [154], [6664], [0], [-19600], [31784], [79744], [-45419], [-179620], [20538], [0], [96432], [-108800], [47852], [-83520], [50582], [26320], [0], [124032], [107016], [93240], [5488], [-38080], [58506], [0], [-10904], [748]], 'ap': [[-10], [14], [56], [0], [232], [140], [1722], [98], [1824], [3418], [7644], [-10398], [17962], [10880], [-9324], [2262], [2730], [-25648], [-48404], [-58560], [-68082], [31784], [20538], [50582], [58506], [-38696], [-53060], [-146324], [92898], [-83354], [60384], [61586], [-204462], [35406], [-20226], [70904], [-293524], [13192], [-493612], [-240716], [294932], [336980], [358264], [-989554], [-990050], [840756], [1150732], [824264], [-74382], [-1131956], [-198726], [482904], [-805910], [-430738], [1176910], [1290976], [1277556], [-1650544], [-1064090], [-22342], [2495738], [1931776], [459074], [-667128], [111034], [-68778], [-564448], [2077294], [-53248], [2272004], [-4006450], [73784], [-1404312], [-1603234], [-4770120], [2230788], [4840242], [-995820], [-3316050], [-3072734], [-2814378], [3058022], [1937496], [-3947902], [7417704], [1402692], [-590574], [-2904842], [922684], [7182352], [612570], [-2603300], [5463088], [1640900], [2997964], [6894048], [-2304764], [12096042], [-5484430], [-6717994], [-5002352], [9019606], [-12405106], [6488038], [-10228504], [-2653378], [14304374], [10026534], [-7522920], [-3386250], [6908608], [-9688958], [-7847418], [10197194], [-8362576], [1102830], [-17135426], [54964], [-485166], [-2721360], [2145248], [2927962], [13499220], [-5429724], [-20827982], [23514066], [-19574670], [26115180], [-15412628], [16986816], [2015112], [-15138072], [7214008], [-10969726], [-19244190], [-8211854], [-18618656], [-26250070], [10037300], [14088390], [-18143342], [-21366922], [17801736], [16292124], [2084992], [22784972], [22697500], [-25289950], [10394734], [43339944], [37165930], [-9047850], [32967860], [16109884], [-44728564], [-6605184], [-30892984], [4872154], [32500398], [2640400], [-40817920], [-6719830], [-2789792], [-33359382], [-7600326], [5797596], [12682496], [-14440048]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 100663345, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '49.6.a.a', 'level': 49, 'maxp': 997, 'weight': 6}
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mf_newspaces • Show schema
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{'ALdims': [6, 8], 'ALdims_eis_new': [2, 3], 'ALdims_eis_old': [2, 1], 'ALdims_old': [3, 3], 'Nk2': 1764, 'analytic_conductor': 7.858807170836051, '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': [49, 1, [3], [1]], 'conrey_index': 1, 'cusp_dim': 20, 'dim': 14, 'eis_dim': 8, 'eis_new_dim': 5, 'hecke_cutter_primes': [2, 3], 'hecke_orbit_code': 100663345, 'hecke_orbit_dims': [1, 1, 2, 2, 2, 2, 4], 'label': '49.6.a', 'level': 49, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [7], 'level_radical': 7, 'mf_dim': 28, 'mf_new_dim': 19, 'num_forms': 7, 'plus_dim': 6, 'prim_orbit_index': 1, 'relative_dim': 14, 'sturm_bound': 28, 'trace_bound': 3, 'trace_display': [0, 20, 74, 0], 'traces': [14, 0, 20, 140, 74, 58, 0, 420, 490, -764, -1120, 2506, 490, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 40190
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '49.6.a.a', 'source_level': 49, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '7.6.a.a', 'target_level': 7, 'twist_class_label': '7.6.a.a', 'twist_class_level': 7, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 6}
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id: 40191
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '49.6.a.a', 'source_level': 49, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '49.6.a.a', 'target_level': 49, 'twist_class_label': '7.6.a.a', 'twist_class_level': 7, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 6}
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id: 40192
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '49.6.a.a', 'source_level': 49, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '49.6.c.b', 'target_level': 49, 'twist_class_label': '7.6.a.a', 'twist_class_level': 7, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 6}
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id: 40193
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '49.6.a.a', 'source_level': 49, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '49.6.c.c', 'target_level': 49, 'twist_class_label': '7.6.a.a', 'twist_class_level': 7, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 6}
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id: 40194
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '49.6.a.a', 'source_level': 49, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '63.6.a.e', 'target_level': 63, 'twist_class_label': '7.6.a.a', 'twist_class_level': 7, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 6}
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id: 40195
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '49.6.a.a', 'source_level': 49, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '112.6.a.g', 'target_level': 112, 'twist_class_label': '7.6.a.a', 'twist_class_level': 7, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 6}
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id: 40196
{'conductor': 35, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '49.6.a.a', 'source_level': 49, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '175.6.a.b', 'target_level': 175, 'twist_class_label': '7.6.a.a', 'twist_class_level': 7, 'twisting_char_label': '35.c', 'twisting_char_orbit': 3, 'weight': 6}
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id: 40197
{'conductor': 35, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '49.6.a.a', 'source_level': 49, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '175.6.b.a', 'target_level': 175, 'twist_class_label': '7.6.a.a', 'twist_class_level': 7, 'twisting_char_label': '35.f', 'twisting_char_orbit': 6, 'weight': 6}
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id: 40198
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '49.6.a.a', 'source_level': 49, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '441.6.a.k', 'target_level': 441, 'twist_class_label': '7.6.a.a', 'twist_class_level': 7, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 6}
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id: 40199
{'conductor': 56, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '49.6.a.a', 'source_level': 49, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '448.6.a.c', 'target_level': 448, 'twist_class_label': '7.6.a.a', 'twist_class_level': 7, 'twisting_char_label': '56.e', 'twisting_char_orbit': 5, 'weight': 6}
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id: 40200
{'conductor': 56, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '49.6.a.a', 'source_level': 49, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '448.6.a.m', 'target_level': 448, 'twist_class_label': '7.6.a.a', 'twist_class_level': 7, 'twisting_char_label': '56.h', 'twisting_char_orbit': 8, 'weight': 6}
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id: 40201
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '49.6.a.a', 'source_level': 49, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '784.6.a.c', 'target_level': 784, 'twist_class_label': '7.6.a.a', 'twist_class_level': 7, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 6}
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id: 40202
{'conductor': 77, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '49.6.a.a', 'source_level': 49, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '847.6.a.b', 'target_level': 847, 'twist_class_label': '7.6.a.a', 'twist_class_level': 7, 'twisting_char_label': '77.b', 'twisting_char_orbit': 2, 'weight': 6}
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id: 40203
{'conductor': 84, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '49.6.a.a', 'source_level': 49, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '1008.6.a.y', 'target_level': 1008, 'twist_class_label': '7.6.a.a', 'twist_class_level': 7, 'twisting_char_label': '84.h', 'twisting_char_orbit': 8, 'weight': 6}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 163975
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 100663345, 'p': 2}
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id: 163976
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 100663345, 'p': 3}
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id: 163977
{'charpoly_factorization': [[[-56, 1], 1]], 'hecke_orbit_code': 100663345, 'p': 5}
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id: 163978
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 100663345, 'p': 7}
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id: 163979
{'charpoly_factorization': [[[-232, 1], 1]], 'hecke_orbit_code': 100663345, 'p': 11}
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id: 163980
{'charpoly_factorization': [[[-140, 1], 1]], 'hecke_orbit_code': 100663345, 'p': 13}
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id: 163981
{'charpoly_factorization': [[[-1722, 1], 1]], 'hecke_orbit_code': 100663345, 'p': 17}
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id: 163982
{'charpoly_factorization': [[[-98, 1], 1]], 'hecke_orbit_code': 100663345, 'p': 19}
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id: 163983
{'charpoly_factorization': [[[-1824, 1], 1]], 'hecke_orbit_code': 100663345, 'p': 23}
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id: 163984
{'charpoly_factorization': [[[-3418, 1], 1]], 'hecke_orbit_code': 100663345, 'p': 29}
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id: 163985
{'charpoly_factorization': [[[-7644, 1], 1]], 'hecke_orbit_code': 100663345, 'p': 31}
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id: 163986
{'charpoly_factorization': [[[10398, 1], 1]], 'hecke_orbit_code': 100663345, 'p': 37}
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id: 163987
{'charpoly_factorization': [[[-17962, 1], 1]], 'hecke_orbit_code': 100663345, 'p': 41}
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id: 163988
{'charpoly_factorization': [[[-10880, 1], 1]], 'hecke_orbit_code': 100663345, 'p': 43}
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id: 163989
{'charpoly_factorization': [[[9324, 1], 1]], 'hecke_orbit_code': 100663345, 'p': 47}
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id: 163990
{'charpoly_factorization': [[[-2262, 1], 1]], 'hecke_orbit_code': 100663345, 'p': 53}
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id: 163991
{'charpoly_factorization': [[[-2730, 1], 1]], 'hecke_orbit_code': 100663345, 'p': 59}
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id: 163992
{'charpoly_factorization': [[[25648, 1], 1]], 'hecke_orbit_code': 100663345, 'p': 61}
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id: 163993
{'charpoly_factorization': [[[48404, 1], 1]], 'hecke_orbit_code': 100663345, 'p': 67}
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id: 163994
{'charpoly_factorization': [[[58560, 1], 1]], 'hecke_orbit_code': 100663345, 'p': 71}
-
id: 163995
{'charpoly_factorization': [[[68082, 1], 1]], 'hecke_orbit_code': 100663345, 'p': 73}
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id: 163996
{'charpoly_factorization': [[[-31784, 1], 1]], 'hecke_orbit_code': 100663345, 'p': 79}
-
id: 163997
{'charpoly_factorization': [[[-20538, 1], 1]], 'hecke_orbit_code': 100663345, 'p': 83}
-
id: 163998
{'charpoly_factorization': [[[-50582, 1], 1]], 'hecke_orbit_code': 100663345, 'p': 89}
-
id: 163999
{'charpoly_factorization': [[[-58506, 1], 1]], 'hecke_orbit_code': 100663345, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 1, 'label': '49.6.a.a', 'level': 49, 'portrait': 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', 'weight': 6}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 3230934
{'hecke_orbit_code': 100663345, 'n': 1, 'trace_an': 1}
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id: 3230935
{'hecke_orbit_code': 100663345, 'n': 2, 'trace_an': -10}
-
id: 3230936
{'hecke_orbit_code': 100663345, 'n': 3, 'trace_an': 14}
-
id: 3230937
{'hecke_orbit_code': 100663345, 'n': 4, 'trace_an': 68}
-
id: 3230938
{'hecke_orbit_code': 100663345, 'n': 5, 'trace_an': 56}
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id: 3230939
{'hecke_orbit_code': 100663345, 'n': 6, 'trace_an': -140}
-
id: 3230940
{'hecke_orbit_code': 100663345, 'n': 7, 'trace_an': 0}
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id: 3230941
{'hecke_orbit_code': 100663345, 'n': 8, 'trace_an': -360}
-
id: 3230942
{'hecke_orbit_code': 100663345, 'n': 9, 'trace_an': -47}
-
id: 3230943
{'hecke_orbit_code': 100663345, 'n': 10, 'trace_an': -560}
-
id: 3230944
{'hecke_orbit_code': 100663345, 'n': 11, 'trace_an': 232}
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id: 3230945
{'hecke_orbit_code': 100663345, 'n': 12, 'trace_an': 952}
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id: 3230946
{'hecke_orbit_code': 100663345, 'n': 13, 'trace_an': 140}
-
id: 3230947
{'hecke_orbit_code': 100663345, 'n': 14, 'trace_an': 0}
-
id: 3230948
{'hecke_orbit_code': 100663345, 'n': 15, 'trace_an': 784}
-
id: 3230949
{'hecke_orbit_code': 100663345, 'n': 16, 'trace_an': 1424}
-
id: 3230950
{'hecke_orbit_code': 100663345, 'n': 17, 'trace_an': 1722}
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id: 3230951
{'hecke_orbit_code': 100663345, 'n': 18, 'trace_an': 470}
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id: 3230952
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