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mf_newforms • Show schema
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{'Nk2': 9984, 'analytic_conductor': 36.817191843582144, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [624, 2, [79, 469, 209, 145], [2, 2, 2, 1]], 'cm_discs': [], 'conrey_index': 337, 'conrey_indexes': [337], 'dim': 4, 'field_disc': 5054412, 'field_disc_factorization': [[2, 2], [3, 1], [11, 2], [59, 2]], 'field_poly': [48, 0, 29, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [8112, 0, 272, 0, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014536015544944, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 16, 'hecke_ring_index_factorization': [[2, 4]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 13, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '624.4.c.e', 'level': 624, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 13], 'level_radical': 78, 'minimal_twist': '39.4.b.a', 'nf_label': '4.0.5054412.1', 'prim_orbit_index': 2, 'qexp_display': 'q+3q^{3}-\\beta _{2}q^{5}+3\\beta _{1}q^{7}+9q^{9}+(\\beta _{1}+\\cdots)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '3.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '624.4.c', 'trace_display': [0, 12, 0, 0], 'trace_hash': 725166702405360301, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.021', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.587', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.415', 'prec': 17}, {'__RealLiteral__': 0, 'data': '64.504', 'prec': 20}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 0, 0, 0], [3, 0, 0, 0], [0, 0, 0, 0], [0, 0, -1, 0], [0, 0, 0, 0], [0, 3, 0, 0], [0, 0, 0, 0], [9, 0, 0, 0], [0, 0, 0, 0], [0, 1, -1, 0], [0, 0, 0, 0], [-18, 0, 3, 1], [0, 0, 0, 0], [0, 0, -3, 0], [0, 0, 0, 0], [54, 0, 0, 0], [0, 0, 0, 0], [0, 3, -6, 0], [0, 0, 0, 0], [0, 9, 0, 0], [0, 0, 0, 0], [-30, 0, 0, 6], [0, 0, 0, 0], [-11, 0, 0, -4], [0, 0, 0, 0], [27, 0, 0, 0], [0, 0, 0, 0], [-12, 0, 0, 6], [0, 0, 0, 0], [0, -9, -6, 0], [0, 0, 0, 0], [0, 3, -3, 0], [0, 0, 0, 0], [-30, 0, 0, 6], [0, 0, 0, 0], [0, -24, -24, 0], [0, 0, 0, 0], [-54, 0, 9, 3], [0, 0, 0, 0], [0, 2, 13, 0], [0, 0, 0, 0], [-266, 0, 0, -6], [0, 0, 0, 0], [0, 0, -9, 0], [0, 0, 0, 0], [0, -61, -21, 0], [0, 0, 0, 0], [-179, 0, 0, 18], [0, 0, 0, 0], [162, 0, 0, 0], [0, 0, 0, 0], [-216, 0, 0, -18], [0, 0, 0, 0], [-146, 0, 0, -2], [0, 0, 0, 0], [0, 9, -18, 0], [0, 0, 0, 0], [0, 17, -15, 0], [0, 0, 0, 0], [-570, 0, 0, -4], [0, 0, 0, 0], [0, 27, 0, 0], [0, 0, 0, 0], [408, -26, -3, 12], [0, 0, 0, 0], 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1], 'hecke_ring_inverse_denominators': [1, 2, 2, 2], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [-29, 0, 0, 1], [0, -25, 4, 0]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 2, 0, 0], [0, 25, 0, 1], [29, 0, 2, 0]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '624.4.c.e', 'level': 624, 'maxp': 997, 'weight': 4}
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mf_newspaces • Show schema
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{'Nk2': 9984, 'analytic_conductor': 36.817191843582144, 'char_conductor': 13, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [624, 2, [79, 469, 209, 145], [2, 2, 2, 1]], 'conrey_index': 337, 'cusp_dim': 324, 'dim': 42, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 137506062960, 'hecke_orbit_dims': [2, 2, 4, 4, 4, 4, 10, 12], 'label': '624.4.c', 'level': 624, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 13], 'level_radical': 78, 'mf_dim': 348, 'mf_new_dim': 42, 'num_forms': 8, 'prim_orbit_index': 2, 'relative_dim': 42, 'sturm_bound': 448, 'trace_bound': 13, 'trace_display': [0, 6, 0, 0], 'traces': [42, 0, 6, 0, 0, 0, 0, 0, 378, 0, 0, 0, 46, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, -1006, 0, 54, 0, 284, 0, 0, 0, 0, 0, 0, 0, 0, 0, 210, 0, 0, 0, -648, 0, 0, 0, 0, 0, -2626, 0, -612, 0, -180, 0, -1888, 0, 0, 0, 0, 0, 44, 0, 0, 0, 592, 0, 0, 0, 0, 0, 0, 0, 0, 0, -498, 0, 184, 0, 1744, 0, 3402, 0, 0, 0, 0, 0, -2412, 0, 0, 0, 760, 0, 0, 0, 3136, 0, 0, 0, 0, 0, 2700, 0, 3536, 0, 0, 0, -968, 0, 0, 0, 0, 0, -1452, 0, 0, 0, 414, 0, 0, 0, -10202, 0, 0, 0, 0, 0, 1040, 0, -72, 0, -4600, 0, -1528, 0, 0, 0, 0, 0, 6392, 0, 0, 0, -11496, 0, 0, 0, -3774, 0, 0, 0, 0, 0, 468, 0, -3712, 0, -1140, 0, -3180, 0, 0, 0, 0, 0, -2064, 0, 0, 0, 1890, 0, 0, 0, 476, 0, 0, 0, 0, 0, 8840, 0, 4156, 0, -7164, 0, 5376, 0, 0, 0, 0, 0, 2416, 0, 0, 0, -3552, 0, 0, 0, 25600, 0, 0, 0, 0, 0, -7824, 0, 0, 0, 10024, 0, 2808, 0, 0, 0, 0, 0, -8264, 0, 0, 0, 6492, 0, 0, 0, -9054, 0, 0, 0, 0, 0, -648, 0, 9924, 0, 5472, 0, 1392, 0, 0, 0, 0, 0, 486, 0, 0, 0, -10712, 0, 0, 0, 2440, 0, 0, 0, 0, 0, -19372, 0, -14160, 0, 2556, 0, -19440, 0, 0, 0, 0, 0, 20924, 0, 0, 0, -1896, 0, 0, 0, -8756, 0, 0, 0, 0, 0, -3672, 0, 7968, 0, 31440, 0, 21662, 0, 0, 0, 0, 0, 3616, 0, 0, 0, 21120, 0, 0, 0, 16980, 0, 0, 0, 0, 0, 0, 0, -33536, 0, 10052, 0, 0, 0, 0, 0, 0, 0, 2280, 0, 0, 0, 8870, 0, 0, 0, -19320, 0, 0, 0, 0, 0, 56768, 0, -3564, 0, 25692, 0, 21912, 0, 0, 0, 0, 0, 8424, 0, 0, 0, 1890, 0, 0, 0, -39456, 0, 0, 0, 0, 0, 1990, 0, -1974, 0, -928, 0, -55776, 0, 0, 0, 0, 0, -13812, 0, 0, 0, -108, 0, 0, 0, -8304, 0, 0, 0, 0, 0, -5832, 0, 33708, 0, -31616, 0, -7560, 0, 0, 0, 0, 0, 25608, 0, 0, 0, -12040, 0, 0, 0, 20656, 0, 0, 0, 0, 0, -37096, 0, -52640, 0, -11592, 0, 39368, 0, 0, 0, 0, 0, -54588, 0, 0, 0, -3768, 0, 0, 0, -6524, 0, 0, 0, 0, 0, 56848, 0, -23634, 0, -31656, 0, 41968, 0, 0, 0, 0, 0, -43984, 0, 0, 0, -54912, 0, 0, 0, -5508, 0, 0, 0, 0, 0, -13728, 0, 108024, 0, 32424, 0, -38172, 0, 0, 0, 0, 0, -1620, 0, 0, 0, -15536, 0, 0, 0, -33888, 0, 0, 0, 0, 0, -81144, 0, 43576, 0, -16992, 0, -7224, 0, 0, 0, 0, 0, 58544, 0, 0, 0, -2802, 0, 0, 0, 79040, 0, 0, 0, 0, 0, 53336, 0, 36, 0, 36900, 0, 94776, 0, 0, 0, 0, 0, 32666, 0, 0, 0, -864, 0, 0, 0, 9720, 0, 0, 0, 0, 0, 31668, 0, -40992, 0, 67624, 0, 396, 0, 0, 0, 0, 0, -51840, 0, 0, 0, -61336, 0, 0, 0, -109944, 0, 0, 0, 0, 0, 32004, 0, 67560, 0, -15696, 0, -37440, 0, 0, 0, 0, 0, -87432, 0, 0, 0, 5328, 0, 0, 0, -24824, 0, 0, 0, 0, 0, -133504, 0, -31776, 0, -11664, 0, -30204, 0, 0, 0, 0, 0, 76352, 0, 0, 0, 81800, 0, 0, 0, 35616, 0, 0, 0, 0, 0, 0, 0, -231792, 0, -32278, 0, 82056, 0, 0, 0, 0, 0, 8040, 0, 0, 0, -20566, 0, 0, 0, 47572, 0, 0, 0, 0, 0, 102608, 0, -65720, 0, 21624, 0, -19940, 0, 0, 0, 0, 0, -103688, 0, 0, 0, -12492, 0, 0, 0, -172224, 0, 0, 0, 0, 0, -31388, 0, -4482, 0, 104940, 0, -183776, 0, 0, 0, 0, 0, 65296, 0, 0, 0, -22716, 0, 0, 0, 1656, 0, 0, 0, 0, 0, -65604, 0, -66852, 0, 21904, 0, 24816, 0, 0, 0, 0, 0, 15696, 0, 0, 0, 120608, 0, 0, 0, 205360, 0, 0, 0, 0, 0, 44748, 0, -9536, 0, 30618, 0, 122160, 0, 0, 0, 0, 0, 121064, 0, 0, 0, 12072, 0, 0, 0, 13808, 0, 0, 0, 0, 0, 197888, 0, 49368, 0, 68544, 0, -45604, 0, 0, 0, 0, 0, -124304, 0, 0, 0, -90696, 0, 0, 0, -55188, 0, 0, 0, 0, 0, 58608, 0, 174768, 0, -57736, 0, -21708, 0, 0, 0, 0, 0, 46800, 0, 0, 0, 7012, 0, 0, 0, 132444, 0, 0, 0, 0, 0, -154240, 0, -184640, 0, 8916, 0, 15012, 0, 0, 0, 0, 0, -39424, 0, 0, 0, 6840, 0, 0, 0, 244656, 0, 0, 0, 0, 0, -82676, 0, 22356, 0, -106980, 0, 488864, 0, 0, 0, 0, 0, -41514, 0, 0, 0, -122784, 0, 0, 0, 2040, 0, 0, 0, 0, 0, 28224, 0, 900, 0, 21480, 0, 32016, 0, 0, 0, 0, 0, -68622, 0, 0, 0, -152504, 0, 0, 0, -529728, 0, 0, 0, 0, 0, 41428, 0, 157688, 0, 32976, 0, -231328, 0, 0, 0, 0, 0, 31256, 0, 0, 0, -4608, 0, 0, 0, 55704, 0, 0, 0, 0, 0, -288568, 0, 24300, 0, -15888, 0, -19096, 0, 0, 0, 0, 0, 48224, 0, 0, 0, 193992, 0, 0, 0, 31824, 0, 0, 0, 0, 0, 86112, 0, -256320, 0, 83028, 0, 123324, 0, 0, 0, 0, 0, 0, 0, 0, 0, -79200, 0, 0, 0, -18684, 0, 0, 0, 0, 0, 251056, 0, 85454, 0, -8712, 0, 43200, 0, 0, 0, 0, 0, 36744, 0, 0, 0, -126102, 0, 0, 0, -367184, 0, 0, 0, 0, 0, 165968, 0, 25224, 0, -121472, 0, -175872, 0, 0, 0, 0, 0, -102804, 0, 0, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 419930
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '624.4.c.e', 'source_level': 624, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '39.4.b.a', 'target_level': 39, 'twist_class_label': '39.4.b.a', 'twist_class_level': 39, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 419931
{'conductor': 52, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '624.4.c.e', 'source_level': 624, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '39.4.b.a', 'target_level': 39, 'twist_class_label': '39.4.b.a', 'twist_class_level': 39, 'twisting_char_label': '52.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 419932
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '624.4.c.e', 'source_level': 624, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '117.4.b.d', 'target_level': 117, 'twist_class_label': '39.4.b.a', 'twist_class_level': 39, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 419933
{'conductor': 156, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '624.4.c.e', 'source_level': 624, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '117.4.b.d', 'target_level': 117, 'twist_class_label': '39.4.b.a', 'twist_class_level': 39, 'twisting_char_label': '156.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 419934
{'conductor': 52, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '624.4.c.e', 'source_level': 624, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '507.4.a.j', 'target_level': 507, 'twist_class_label': '39.4.b.a', 'twist_class_level': 39, 'twisting_char_label': '52.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 419935
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '624.4.c.e', 'source_level': 624, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '624.4.c.e', 'target_level': 624, 'twist_class_label': '39.4.b.a', 'twist_class_level': 39, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 419936
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '624.4.c.e', 'source_level': 624, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '624.4.c.e', 'target_level': 624, 'twist_class_label': '39.4.b.a', 'twist_class_level': 39, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 419937
{'conductor': 156, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '624.4.c.e', 'source_level': 624, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '1521.4.a.x', 'target_level': 1521, 'twist_class_label': '39.4.b.a', 'twist_class_level': 39, 'twisting_char_label': '156.l', 'twisting_char_orbit': 12, 'weight': 4}
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mf_hecke_charpolys • Show schema
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id: 1133300
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 18014536015544944, 'p': 2}
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id: 1133301
{'charpoly_factorization': [[[-3, 1], 4]], 'hecke_orbit_code': 18014536015544944, 'p': 3}
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id: 1133302
{'charpoly_factorization': [[[8112, 0, 272, 0, 1], 1]], 'hecke_orbit_code': 18014536015544944, 'p': 5}
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id: 1133303
{'charpoly_factorization': [[[62208, 0, 1044, 0, 1], 1]], 'hecke_orbit_code': 18014536015544944, 'p': 7}
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id: 1133304
{'charpoly_factorization': [[[43200, 0, 428, 0, 1], 1]], 'hecke_orbit_code': 18014536015544944, 'p': 11}
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id: 1133305
{'charpoly_factorization': [[[4826809, 158184, 3094, 72, 1], 1]], 'hecke_orbit_code': 18014536015544944, 'p': 13}
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id: 1133306
{'charpoly_factorization': [[[-54, 1], 4]], 'hecke_orbit_code': 18014536015544944, 'p': 17}
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id: 1133307
{'charpoly_factorization': [[[31492800, 0, 11556, 0, 1], 1]], 'hecke_orbit_code': 18014536015544944, 'p': 19}
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id: 1133308
{'charpoly_factorization': [[[-22464, 60, 1], 2]], 'hecke_orbit_code': 18014536015544944, 'p': 23}
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id: 1133309
{'charpoly_factorization': [[[-23220, 24, 1], 2]], 'hecke_orbit_code': 18014536015544944, 'p': 29}
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id: 1133310
{'charpoly_factorization': [[[47044800, 0, 17028, 0, 1], 1]], 'hecke_orbit_code': 18014536015544944, 'p': 31}
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id: 1133311
{'charpoly_factorization': [[[2293235712, 0, 200448, 0, 1], 1]], 'hecke_orbit_code': 18014536015544944, 'p': 37}
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id: 1133312
{'charpoly_factorization': [[[128314800, 0, 45392, 0, 1], 1]], 'hecke_orbit_code': 18014536015544944, 'p': 41}
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id: 1133313
{'charpoly_factorization': [[[47392, 532, 1], 2]], 'hecke_orbit_code': 18014536015544944, 'p': 43}
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id: 1133314
{'charpoly_factorization': [[[62387841792, 0, 500348, 0, 1], 1]], 'hecke_orbit_code': 18014536015544944, 'p': 47}
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id: 1133315
{'charpoly_factorization': [[[-163620, 432, 1], 2]], 'hecke_orbit_code': 18014536015544944, 'p': 53}
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id: 1133316
{'charpoly_factorization': [[[2436066048, 0, 104924, 0, 1], 1]], 'hecke_orbit_code': 18014536015544944, 'p': 59}
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id: 1133317
{'charpoly_factorization': [[[314516, 1140, 1], 2]], 'hecke_orbit_code': 18014536015544944, 'p': 61}
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id: 1133318
{'charpoly_factorization': [[[143327232, 0, 727668, 0, 1], 1]], 'hecke_orbit_code': 18014536015544944, 'p': 67}
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id: 1133319
{'charpoly_factorization': [[[3298756800, 0, 147692, 0, 1], 1]], 'hecke_orbit_code': 18014536015544944, 'p': 71}
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id: 1133320
{'charpoly_factorization': [[[68976790272, 0, 793152, 0, 1], 1]], 'hecke_orbit_code': 18014536015544944, 'p': 73}
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id: 1133321
{'charpoly_factorization': [[[-160960, 144, 1], 2]], 'hecke_orbit_code': 18014536015544944, 'p': 79}
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id: 1133322
{'charpoly_factorization': [[[106682723328, 0, 653276, 0, 1], 1]], 'hecke_orbit_code': 18014536015544944, 'p': 83}
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id: 1133323
{'charpoly_factorization': [[[249304368, 0, 60464, 0, 1], 1]], 'hecke_orbit_code': 18014536015544944, 'p': 89}
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id: 1133324
{'charpoly_factorization': [[[3383532000000, 0, 3704256, 0, 1], 1]], 'hecke_orbit_code': 18014536015544944, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 3, 'hecke_orbit': 5, 'label': '624.4.c.e', 'level': 624, 'portrait': 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', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 157512000
{'hecke_orbit_code': 18014536015544944, 'n': 1, 'trace_an': 4}
-
id: 157512001
{'hecke_orbit_code': 18014536015544944, 'n': 2, 'trace_an': 0}
-
id: 157512002
{'hecke_orbit_code': 18014536015544944, 'n': 3, 'trace_an': 12}
-
id: 157512003
{'hecke_orbit_code': 18014536015544944, 'n': 4, 'trace_an': 0}
-
id: 157512004
{'hecke_orbit_code': 18014536015544944, 'n': 5, 'trace_an': 0}
-
id: 157512005
{'hecke_orbit_code': 18014536015544944, 'n': 6, 'trace_an': 0}
-
id: 157512006
{'hecke_orbit_code': 18014536015544944, 'n': 7, 'trace_an': 0}
-
id: 157512007
{'hecke_orbit_code': 18014536015544944, 'n': 8, 'trace_an': 0}
-
id: 157512008
{'hecke_orbit_code': 18014536015544944, 'n': 9, 'trace_an': 36}
-
id: 157512009
{'hecke_orbit_code': 18014536015544944, 'n': 10, 'trace_an': 0}
-
id: 157512010
{'hecke_orbit_code': 18014536015544944, 'n': 11, 'trace_an': 0}
-
id: 157512011
{'hecke_orbit_code': 18014536015544944, 'n': 12, 'trace_an': 0}
-
id: 157512012
{'hecke_orbit_code': 18014536015544944, 'n': 13, 'trace_an': -72}
-
id: 157512013
{'hecke_orbit_code': 18014536015544944, 'n': 14, 'trace_an': 0}
-
id: 157512014
{'hecke_orbit_code': 18014536015544944, 'n': 15, 'trace_an': 0}
-
id: 157512015
{'hecke_orbit_code': 18014536015544944, 'n': 16, 'trace_an': 0}
-
id: 157512016
{'hecke_orbit_code': 18014536015544944, 'n': 17, 'trace_an': 216}
-
id: 157512017
{'hecke_orbit_code': 18014536015544944, 'n': 18, 'trace_an': 0}
-
id: 157512018
{'hecke_orbit_code': 18014536015544944, 'n': 19, 'trace_an': 0}
-
id: 157512019
{'hecke_orbit_code': 18014536015544944, 'n': 20, 'trace_an': 0}
-
id: 157512020
{'hecke_orbit_code': 18014536015544944, 'n': 21, 'trace_an': 0}
-
id: 157512021
{'hecke_orbit_code': 18014536015544944, 'n': 22, 'trace_an': 0}
-
id: 157512022
{'hecke_orbit_code': 18014536015544944, 'n': 23, 'trace_an': -120}
-
id: 157512023
{'hecke_orbit_code': 18014536015544944, 'n': 24, 'trace_an': 0}
-
id: 157512024
{'hecke_orbit_code': 18014536015544944, 'n': 25, 'trace_an': -44}
-
id: 157512025
{'hecke_orbit_code': 18014536015544944, 'n': 26, 'trace_an': 0}
-
id: 157512026
{'hecke_orbit_code': 18014536015544944, 'n': 27, 'trace_an': 108}
-
id: 157512027
{'hecke_orbit_code': 18014536015544944, 'n': 28, 'trace_an': 0}
-
id: 157512028
{'hecke_orbit_code': 18014536015544944, 'n': 29, 'trace_an': -48}
-
id: 157512029
{'hecke_orbit_code': 18014536015544944, 'n': 30, 'trace_an': 0}
-
id: 157512030
{'hecke_orbit_code': 18014536015544944, 'n': 31, 'trace_an': 0}
-
id: 157512031
{'hecke_orbit_code': 18014536015544944, 'n': 32, 'trace_an': 0}
-
id: 157512032
{'hecke_orbit_code': 18014536015544944, 'n': 33, 'trace_an': 0}
-
id: 157512033
{'hecke_orbit_code': 18014536015544944, 'n': 34, 'trace_an': 0}
-
id: 157512034
{'hecke_orbit_code': 18014536015544944, 'n': 35, 'trace_an': -120}
-
id: 157512035
{'hecke_orbit_code': 18014536015544944, 'n': 36, 'trace_an': 0}
-
id: 157512036
{'hecke_orbit_code': 18014536015544944, 'n': 37, 'trace_an': 0}
-
id: 157512037
{'hecke_orbit_code': 18014536015544944, 'n': 38, 'trace_an': 0}
-
id: 157512038
{'hecke_orbit_code': 18014536015544944, 'n': 39, 'trace_an': -216}
-
id: 157512039
{'hecke_orbit_code': 18014536015544944, 'n': 40, 'trace_an': 0}
-
id: 157512040
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{'hecke_orbit_code': 18014536015544944, 'n': 996, 'trace_an': 0}
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id: 157512996
{'hecke_orbit_code': 18014536015544944, 'n': 997, 'trace_an': 22232}
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id: 157512997
{'hecke_orbit_code': 18014536015544944, 'n': 998, 'trace_an': 0}
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id: 157512998
{'hecke_orbit_code': 18014536015544944, 'n': 999, 'trace_an': 0}
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id: 157512999
{'hecke_orbit_code': 18014536015544944, 'n': 1000, 'trace_an': 0}