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mf_newforms • Show schema
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{'Nk2': 135, 'analytic_conductor': 0.40872039654044534, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 4, 'char_parity': -1, 'char_values': [15, 4, [11, 7], [4, 1]], 'cm_discs': [], 'conrey_index': 7, 'conrey_indexes': [7, 13], 'dim': 4, 'field_disc': 2304, 'field_disc_factorization': [[2, 8], [3, 2]], 'field_poly': [9, 0, 0, 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': [], 'hecke_orbit': 1, 'hecke_orbit_code': 343647715343, 'hecke_ring_generator_nbound': 3, '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, 3, -1, 4, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '15.3.f.a', 'level': 15, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [3, 5], 'level_radical': 15, 'minimal_twist': '15.3.f.a', 'nf_label': '4.0.2304.2', 'prim_orbit_index': 3, 'qexp_display': 'q+(-1+\\beta _{1}-\\beta _{2})q^{2}+\\beta _{3}q^{3}+(-2\\beta _{1}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '2.2.3.c4', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '15.3.f', 'trace_display': [-4, 0, -4, 4], 'trace_hash': 445990341755593137, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.007', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.859', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '54.188', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1186.466', 'prec': 27}], 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1, 0, 0, 0], [-1, 1, -1, 0], [0, 0, 0, 1], [0, -2, 1, -2], [-1, -2, 3, 1], [-3, 1, 0, -1], [1, 2, 1, 0], [3, 0, -3, 1], [0, 0, -3, 0], [1, 2, -8, 4], [4, 3, 0, -3], [6, -1, 6, 0], [-8, 0, 8, -2], [0, -1, 4, -1], [6, -3, -3, -1], [-5, -4, 0, 4], [-10, -6, -10, 0], [-3, 0, 3, -3], [0, 6, -6, 6], [-9, 7, 17, -6], [-6, -1, 0, 1], [5, -2, 5, 0], [14, 0, -14, 2], [0, 3, -3, 3], [4, -2, 3, -14], [22, -10, 0, 10], [0, 3, 0, 0], [11, 0, -11, -2], [0, 7, 18, 7], [-6, 8, -12, 1], [-4, 6, 0, -6], [-19, 7, -19, 0], [-9, 0, 9, 4], [0, -4, 2, -4], [-10, -5, -10, 5], [3, -6, 0, 6], [16, -18, 16, 0], [-24, 0, 24, -18], [0, -8, 6, -8], [12, -6, 9, 8], [-14, 6, 0, -6], [3, -4, 3, 0], [-2, 0, 2, 20], [0, -5, -32, -5], [9, 3, 3, 6], [-34, 16, 0, -16], [32, 10, 32, 0], [12, 0, -12, -5], [0, 4, -35, 4], [41, -8, -13, 19], [18, 10, 0, -10], [-20, 34, -20, 0], [14, 0, -14, 12], [0, -3, 9, -3], [-31, -2, 3, 16], [0, 5, 0, -5], [-18, 6, -18, 0], [-3, 0, 3, 4], [0, -31, 36, -31], [-21, -17, 18, -9], [50, 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-716, 0]], 'char_orbit_index': 6, 'field_poly': [9, 0, 0, 0, 1], 'hecke_orbit_code': 343647715343, 'hecke_ring_character_values': [[11, [1, 0, 0, 0]], [7, [0, 0, 1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 3, 3], 'hecke_ring_inverse_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 3, 0], [0, 0, 0, 3]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '15.3.f.a', 'level': 15, 'maxp': 997, 'weight': 3}
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mf_newspaces • Show schema
Hide schema
{'Nk2': 135, 'analytic_conductor': 0.40872039654044534, 'char_conductor': 5, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 4, 'char_parity': -1, 'char_values': [15, 4, [11, 7], [4, 1]], 'conrey_index': 7, 'cusp_dim': 4, 'dim': 4, 'eis_dim': 8, 'eis_new_dim': 0, 'hecke_cutter_primes': [], 'hecke_orbit_code': 343647715343, 'hecke_orbit_dims': [4], 'label': '15.3.f', 'level': 15, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 12, 'mf_new_dim': 4, 'num_forms': 1, 'prim_orbit_index': 3, 'relative_dim': 2, 'sturm_bound': 6, 'trace_bound': 0, 'trace_display': [-4, 0, -4, 4], 'traces': [4, -4, 0, 0, -4, -12, 4, 12, 0, 4, 16, 24, -32, 0, 24, -20, -40, -12, 0, -36, -24, 20, 56, 0, 16, 88, 0, 44, 0, -24, -16, -76, -36, 0, -40, 12, 64, -96, 0, 48, -56, 12, -8, 0, 36, -136, 128, 48, 0, 164, 72, -80, 56, 0, -124, 0, -72, -12, 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mf_twists_nf • Show schema
Hide schema
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id: 10189
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '15.3.f.a', 'source_level': 15, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '15.3.f.a', 'target_level': 15, 'twist_class_label': '15.3.f.a', 'twist_class_level': 15, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 3}
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id: 10190
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '15.3.f.a', 'source_level': 15, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '15.3.f.a', 'target_level': 15, 'twist_class_label': '15.3.f.a', 'twist_class_level': 15, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 10191
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '15.3.f.a', 'source_level': 15, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '45.3.g.b', 'target_level': 45, 'twist_class_label': '15.3.f.a', 'twist_class_level': 15, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 10192
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '15.3.f.a', 'source_level': 15, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '45.3.g.b', 'target_level': 45, 'twist_class_label': '15.3.f.a', 'twist_class_level': 15, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 3}
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id: 10193
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '15.3.f.a', 'source_level': 15, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '75.3.f.c', 'target_level': 75, 'twist_class_label': '15.3.f.a', 'twist_class_level': 15, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 10194
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '15.3.f.a', 'source_level': 15, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '75.3.f.c', 'target_level': 75, 'twist_class_label': '15.3.f.a', 'twist_class_level': 15, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 10195
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '15.3.f.a', 'source_level': 15, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '225.3.g.a', 'target_level': 225, 'twist_class_label': '15.3.f.a', 'twist_class_level': 15, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 10196
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '15.3.f.a', 'source_level': 15, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '225.3.g.a', 'target_level': 225, 'twist_class_label': '15.3.f.a', 'twist_class_level': 15, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 3}
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id: 10197
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '15.3.f.a', 'source_level': 15, 'target_char_orbit': 33, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '240.3.bg.a', 'target_level': 240, 'twist_class_label': '15.3.f.a', 'twist_class_level': 15, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 10198
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '15.3.f.a', 'source_level': 15, 'target_char_orbit': 33, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '240.3.bg.a', 'target_level': 240, 'twist_class_label': '15.3.f.a', 'twist_class_level': 15, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 3}
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id: 10199
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '15.3.f.a', 'source_level': 15, 'target_char_orbit': 12, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '405.3.l.f', 'target_level': 405, 'twist_class_label': '15.3.f.a', 'twist_class_level': 15, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 10200
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '15.3.f.a', 'source_level': 15, 'target_char_orbit': 12, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '405.3.l.f', 'target_level': 405, 'twist_class_label': '15.3.f.a', 'twist_class_level': 15, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 3}
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id: 10201
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '15.3.f.a', 'source_level': 15, 'target_char_orbit': 12, 'target_dim': 8, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '405.3.l.h', 'target_level': 405, 'twist_class_label': '15.3.f.a', 'twist_class_level': 15, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 10202
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '15.3.f.a', 'source_level': 15, 'target_char_orbit': 12, 'target_dim': 8, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '405.3.l.h', 'target_level': 405, 'twist_class_label': '15.3.f.a', 'twist_class_level': 15, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 3}
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id: 10203
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '15.3.f.a', 'source_level': 15, 'target_char_orbit': 34, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '720.3.bh.k', 'target_level': 720, 'twist_class_label': '15.3.f.a', 'twist_class_level': 15, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 10204
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '15.3.f.a', 'source_level': 15, 'target_char_orbit': 34, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '720.3.bh.k', 'target_level': 720, 'twist_class_label': '15.3.f.a', 'twist_class_level': 15, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 3}
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id: 10205
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '15.3.f.a', 'source_level': 15, 'target_char_orbit': 33, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '960.3.bg.h', 'target_level': 960, 'twist_class_label': '15.3.f.a', 'twist_class_level': 15, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 10206
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '15.3.f.a', 'source_level': 15, 'target_char_orbit': 33, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '960.3.bg.h', 'target_level': 960, 'twist_class_label': '15.3.f.a', 'twist_class_level': 15, 'twisting_char_label': '40.k', 'twisting_char_orbit': 11, 'weight': 3}
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id: 10207
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '15.3.f.a', 'source_level': 15, 'target_char_orbit': 33, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '960.3.bg.i', 'target_level': 960, 'twist_class_label': '15.3.f.a', 'twist_class_level': 15, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 10208
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '15.3.f.a', 'source_level': 15, 'target_char_orbit': 33, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '960.3.bg.i', 'target_level': 960, 'twist_class_label': '15.3.f.a', 'twist_class_level': 15, 'twisting_char_label': '40.i', 'twisting_char_orbit': 9, 'weight': 3}
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id: 10209
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '15.3.f.a', 'source_level': 15, 'target_char_orbit': 33, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1200.3.bg.k', 'target_level': 1200, 'twist_class_label': '15.3.f.a', 'twist_class_level': 15, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 10210
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '15.3.f.a', 'source_level': 15, 'target_char_orbit': 33, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1200.3.bg.k', 'target_level': 1200, 'twist_class_label': '15.3.f.a', 'twist_class_level': 15, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 3}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 60725
{'charpoly_factorization': [[[1, -4, 8, 4, 1], 1]], 'hecke_orbit_code': 343647715343, 'p': 2}
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id: 60726
{'charpoly_factorization': [[[9, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 343647715343, 'p': 3}
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id: 60727
{'charpoly_factorization': [[[625, 100, 0, 4, 1], 1]], 'hecke_orbit_code': 343647715343, 'p': 5}
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id: 60728
{'charpoly_factorization': [[[100, 40, 8, -4, 1], 1]], 'hecke_orbit_code': 343647715343, 'p': 7}
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id: 60729
{'charpoly_factorization': [[[-38, -8, 1], 2]], 'hecke_orbit_code': 343647715343, 'p': 11}
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id: 60730
{'charpoly_factorization': [[[13456, 3712, 512, 32, 1], 1]], 'hecke_orbit_code': 343647715343, 'p': 13}
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id: 60731
{'charpoly_factorization': [[[8464, 3680, 800, 40, 1], 1]], 'hecke_orbit_code': 343647715343, 'p': 17}
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id: 60732
{'charpoly_factorization': [[[32400, 0, 504, 0, 1], 1]], 'hecke_orbit_code': 343647715343, 'p': 19}
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id: 60733
{'charpoly_factorization': [[[144400, -21280, 1568, -56, 1], 1]], 'hecke_orbit_code': 343647715343, 'p': 23}
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id: 60734
{'charpoly_factorization': [[[900, 0, 1236, 0, 1], 1]], 'hecke_orbit_code': 343647715343, 'p': 29}
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id: 60735
{'charpoly_factorization': [[[-200, 8, 1], 2]], 'hecke_orbit_code': 343647715343, 'p': 31}
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id: 60736
{'charpoly_factorization': [[[211600, 29440, 2048, -64, 1], 1]], 'hecke_orbit_code': 343647715343, 'p': 37}
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id: 60737
{'charpoly_factorization': [[[-20, 28, 1], 2]], 'hecke_orbit_code': 343647715343, 'p': 41}
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id: 60738
{'charpoly_factorization': [[[1420864, -9536, 32, 8, 1], 1]], 'hecke_orbit_code': 343647715343, 'p': 43}
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id: 60739
{'charpoly_factorization': [[[3055504, -223744, 8192, -128, 1], 1]], 'hecke_orbit_code': 343647715343, 'p': 47}
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id: 60740
{'charpoly_factorization': [[[1600, 2240, 1568, -56, 1], 1]], 'hecke_orbit_code': 343647715343, 'p': 53}
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id: 60741
{'charpoly_factorization': [[[19980900, 0, 14124, 0, 1], 1]], 'hecke_orbit_code': 343647715343, 'p': 59}
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id: 60742
{'charpoly_factorization': [[[556, -100, 1], 2]], 'hecke_orbit_code': 343647715343, 'p': 61}
-
id: 60743
{'charpoly_factorization': [[[24522304, 990400, 20000, 200, 1], 1]], 'hecke_orbit_code': 343647715343, 'p': 67}
-
id: 60744
{'charpoly_factorization': [[[68, 1], 4]], 'hecke_orbit_code': 343647715343, 'p': 71}
-
id: 60745
{'charpoly_factorization': [[[38316100, 470440, 2888, -76, 1], 1]], 'hecke_orbit_code': 343647715343, 'p': 73}
-
id: 60746
{'charpoly_factorization': [[[600, 0, 1], 2]], 'hecke_orbit_code': 343647715343, 'p': 79}
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id: 60747
{'charpoly_factorization': [[[309136, -8896, 128, 16, 1], 1]], 'hecke_orbit_code': 343647715343, 'p': 83}
-
id: 60748
{'charpoly_factorization': [[[59907600, 0, 15624, 0, 1], 1]], 'hecke_orbit_code': 343647715343, 'p': 89}
-
id: 60749
{'charpoly_factorization': [[[515524, -14360, 200, 20, 1], 1]], 'hecke_orbit_code': 343647715343, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 6, 'hecke_orbit': 1, 'label': '15.3.f.a', 'level': 15, 'portrait': 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', 'weight': 3}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 32198000
{'hecke_orbit_code': 343647715343, 'n': 1, 'trace_an': 4}
-
id: 32198001
{'hecke_orbit_code': 343647715343, 'n': 2, 'trace_an': -4}
-
id: 32198002
{'hecke_orbit_code': 343647715343, 'n': 3, 'trace_an': 0}
-
id: 32198003
{'hecke_orbit_code': 343647715343, 'n': 4, 'trace_an': 0}
-
id: 32198004
{'hecke_orbit_code': 343647715343, 'n': 5, 'trace_an': -4}
-
id: 32198005
{'hecke_orbit_code': 343647715343, 'n': 6, 'trace_an': -12}
-
id: 32198006
{'hecke_orbit_code': 343647715343, 'n': 7, 'trace_an': 4}
-
id: 32198007
{'hecke_orbit_code': 343647715343, 'n': 8, 'trace_an': 12}
-
id: 32198008
{'hecke_orbit_code': 343647715343, 'n': 9, 'trace_an': 0}
-
id: 32198009
{'hecke_orbit_code': 343647715343, 'n': 10, 'trace_an': 4}
-
id: 32198010
{'hecke_orbit_code': 343647715343, 'n': 11, 'trace_an': 16}
-
id: 32198011
{'hecke_orbit_code': 343647715343, 'n': 12, 'trace_an': 24}
-
id: 32198012
{'hecke_orbit_code': 343647715343, 'n': 13, 'trace_an': -32}
-
id: 32198013
{'hecke_orbit_code': 343647715343, 'n': 14, 'trace_an': 0}
-
id: 32198014
{'hecke_orbit_code': 343647715343, 'n': 15, 'trace_an': 24}
-
id: 32198015
{'hecke_orbit_code': 343647715343, 'n': 16, 'trace_an': -20}
-
id: 32198016
{'hecke_orbit_code': 343647715343, 'n': 17, 'trace_an': -40}
-
id: 32198017
{'hecke_orbit_code': 343647715343, 'n': 18, 'trace_an': -12}
-
id: 32198018
{'hecke_orbit_code': 343647715343, 'n': 19, 'trace_an': 0}
-
id: 32198019
{'hecke_orbit_code': 343647715343, 'n': 20, 'trace_an': -36}
-
id: 32198020
{'hecke_orbit_code': 343647715343, 'n': 21, 'trace_an': -24}
-
id: 32198021
{'hecke_orbit_code': 343647715343, 'n': 22, 'trace_an': 20}
-
id: 32198022
{'hecke_orbit_code': 343647715343, 'n': 23, 'trace_an': 56}
-
id: 32198023
{'hecke_orbit_code': 343647715343, 'n': 24, 'trace_an': 0}
-
id: 32198024
{'hecke_orbit_code': 343647715343, 'n': 25, 'trace_an': 16}
-
id: 32198025
{'hecke_orbit_code': 343647715343, 'n': 26, 'trace_an': 88}
-
id: 32198026
{'hecke_orbit_code': 343647715343, 'n': 27, 'trace_an': 0}
-
id: 32198027
{'hecke_orbit_code': 343647715343, 'n': 28, 'trace_an': 44}
-
id: 32198028
{'hecke_orbit_code': 343647715343, 'n': 29, 'trace_an': 0}
-
id: 32198029
{'hecke_orbit_code': 343647715343, 'n': 30, 'trace_an': -24}
-
id: 32198030
{'hecke_orbit_code': 343647715343, 'n': 31, 'trace_an': -16}
-
id: 32198031
{'hecke_orbit_code': 343647715343, 'n': 32, 'trace_an': -76}
-
id: 32198032
{'hecke_orbit_code': 343647715343, 'n': 33, 'trace_an': -36}
-
id: 32198033
{'hecke_orbit_code': 343647715343, 'n': 34, 'trace_an': 0}
-
id: 32198034
{'hecke_orbit_code': 343647715343, 'n': 35, 'trace_an': -40}
-
id: 32198035
{'hecke_orbit_code': 343647715343, 'n': 36, 'trace_an': 12}
-
id: 32198036
{'hecke_orbit_code': 343647715343, 'n': 37, 'trace_an': 64}
-
id: 32198037
{'hecke_orbit_code': 343647715343, 'n': 38, 'trace_an': -96}
-
id: 32198038
{'hecke_orbit_code': 343647715343, 'n': 39, 'trace_an': 0}
-
id: 32198039
{'hecke_orbit_code': 343647715343, 'n': 40, 'trace_an': 48}
-
id: 32198040
{'hecke_orbit_code': 343647715343, 'n': 41, 'trace_an': -56}
-
id: 32198041
{'hecke_orbit_code': 343647715343, 'n': 42, 'trace_an': 12}
-
id: 32198042
{'hecke_orbit_code': 343647715343, 'n': 43, 'trace_an': -8}
-
id: 32198043
{'hecke_orbit_code': 343647715343, 'n': 44, 'trace_an': 0}
-
id: 32198044
{'hecke_orbit_code': 343647715343, 'n': 45, 'trace_an': 36}
-
id: 32198045
{'hecke_orbit_code': 343647715343, 'n': 46, 'trace_an': -136}
-
id: 32198046
{'hecke_orbit_code': 343647715343, 'n': 47, 'trace_an': 128}
-
id: 32198047
{'hecke_orbit_code': 343647715343, 'n': 48, 'trace_an': 48}
-
id: 32198048
{'hecke_orbit_code': 343647715343, 'n': 49, 'trace_an': 0}
-
id: 32198049
{'hecke_orbit_code': 343647715343, 'n': 50, 'trace_an': 164}
-
id: 32198050
{'hecke_orbit_code': 343647715343, 'n': 51, 'trace_an': 72}
-
id: 32198051
{'hecke_orbit_code': 343647715343, 'n': 52, 'trace_an': -80}
-
id: 32198052
{'hecke_orbit_code': 343647715343, 'n': 53, 'trace_an': 56}
-
id: 32198053
{'hecke_orbit_code': 343647715343, 'n': 54, 'trace_an': 0}
-
id: 32198054
{'hecke_orbit_code': 343647715343, 'n': 55, 'trace_an': -124}
-
id: 32198055
{'hecke_orbit_code': 343647715343, 'n': 56, 'trace_an': 0}
-
id: 32198056
{'hecke_orbit_code': 343647715343, 'n': 57, 'trace_an': -72}
-
id: 32198057
{'hecke_orbit_code': 343647715343, 'n': 58, 'trace_an': -12}
-
id: 32198058
{'hecke_orbit_code': 343647715343, 'n': 59, 'trace_an': 0}
-
id: 32198059
{'hecke_orbit_code': 343647715343, 'n': 60, 'trace_an': -84}
-
id: 32198060
{'hecke_orbit_code': 343647715343, 'n': 61, 'trace_an': 200}
-
id: 32198061
{'hecke_orbit_code': 343647715343, 'n': 62, 'trace_an': 88}
-
id: 32198062
{'hecke_orbit_code': 343647715343, 'n': 63, 'trace_an': 12}
-
id: 32198063
{'hecke_orbit_code': 343647715343, 'n': 64, 'trace_an': 0}
-
id: 32198064
{'hecke_orbit_code': 343647715343, 'n': 65, 'trace_an': -112}
-
id: 32198065
{'hecke_orbit_code': 343647715343, 'n': 66, 'trace_an': 24}
-
id: 32198066
{'hecke_orbit_code': 343647715343, 'n': 67, 'trace_an': -200}
-
id: 32198067
{'hecke_orbit_code': 343647715343, 'n': 68, 'trace_an': -104}
-
id: 32198068
{'hecke_orbit_code': 343647715343, 'n': 69, 'trace_an': 0}
-
id: 32198069
{'hecke_orbit_code': 343647715343, 'n': 70, 'trace_an': -60}
-
id: 32198070
{'hecke_orbit_code': 343647715343, 'n': 71, 'trace_an': -272}
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