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mf_newforms • Show schema
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{'Nk2': 4320, 'analytic_conductor': 8.623843418298282, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 120, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 13, 'char_orbit_label': 'm', 'char_order': 2, 'char_parity': 1, 'char_values': [1080, 2, [271, 541, 1001, 217], [1, 1, 1, 1]], 'cm_discs': [-15], 'conrey_index': 539, 'dim': 8, 'field_disc': 12960000, 'field_disc_factorization': [[2, 8], [3, 4], [5, 4]], 'field_poly': [1, 0, -3, 0, 8, 0, -3, 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': [[7, [0, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 824667276344, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 324, 'hecke_ring_index_factorization': [[2, 2], [3, 4]], 'hecke_ring_index_proved': True, 'inner_twist_count': 8, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 15, 4, -1, 2, -15], [1, 1, 40, 5, -1, 2, 0], [1, 1, 3, 2, -1, 2, 0], [1, 1, 5, 2, 1, 2, 0], [1, 1, 24, 6, 1, 2, 0], [1, 1, 120, 13, 1, 2, 0], [1, 1, 8, 4, -1, 2, 0]], 'is_cm': True, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': True, 'is_twist_minimal': True, 'label': '1080.2.m.a', 'level': 1080, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'minimal_twist': '1080.2.m.a', 'nf_label': '8.0.12960000.1', 'prim_orbit_index': 13, 'qexp_display': 'q-\\beta _{3}q^{2}+\\beta _{1}q^{4}+(\\beta _{3}+\\beta _{6})q^{5}+(-\\beta _{2}+\\cdots)q^{8}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.1.d2', 'self_twist_discs': [-15], 'self_twist_type': 1, 'space_label': '1080.2.m', 'trace_display': [0, 0, 0, 0], 'trace_hash': 2120585253394742890, 'trace_moments': 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [1, -1, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, -1, 0, 0, 0], [0, 0, -2, 1, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-2, 3, 0, 0, -1, 0, 0, -1], [0, 0, 1, -1, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, -1, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-1, 2, 0, 0, 2, 0, 0, 0], [0, 0, 1, -1, 0, 1, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-1, -1, 0, 0, -2, 0, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -2, 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-12, 0, 0, -24]], 'char_orbit_index': 13, 'field_poly': [1, 0, -3, 0, 8, 0, -3, 0, 1], 'hecke_orbit_code': 824667276344, 'hecke_ring_character_values': [[271, [-1, 0, 0, 0, 0, 0, 0, 0]], [541, [-1, 0, 0, 0, 0, 0, 0, 0]], [1001, [-1, 0, 0, 0, 0, 0, 0, 0]], [217, [-1, 0, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 8, 8, 8, 8, 8, 8, 4], 'hecke_ring_inverse_denominators': [1, 6, 6, 3, 6, 6, 3, 6], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 0, -2, 4, 0, -1, 1, 0], [3, 1, 0, 0, 3, 0, 0, 1], [0, 0, 0, 5, 0, 2, 3, 0], [-15, 11, 0, 0, 5, 0, 0, 1], [0, 0, 16, 6, 0, 13, 7, 0], [-27, 12, 0, 0, -4, 0, 0, -4], [0, 0, 42, -52, 0, 5, -21, 0]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [19, 0, -16, 0, 8, 0, -1, 0], [0, 17, 0, 24, 0, -8, 0, 5], [0, 23, 0, -40, 0, 16, 0, -5], [-23, 0, 56, 0, -16, 0, 5, 0], [0, -17, 0, -80, 0, 32, 0, -13], [0, -27, 0, 128, 0, -48, 0, 17], [13, 0, -52, 0, 20, 0, -7, 0]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 8, 'label': '1080.2.m.a', 'level': 1080, 'maxp': 1999, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 4320, 'analytic_conductor': 8.623843418298282, 'char_conductor': 120, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 13, 'char_orbit_label': 'm', 'char_order': 2, 'char_parity': 1, 'char_values': [1080, 2, [271, 541, 1001, 217], [1, 1, 1, 1]], 'conrey_index': 539, 'cusp_dim': 204, 'dim': 96, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [7], 'hecke_orbit_code': 824667276344, 'hecke_orbit_dims': [8, 40, 48], 'label': '1080.2.m', 'level': 1080, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'mf_dim': 228, 'mf_new_dim': 96, 'num_forms': 3, 'prim_orbit_index': 13, 'relative_dim': 96, 'sturm_bound': 432, 'trace_bound': 1, 'trace_display': [0, 0, 0, 0], 'traces': [96, 0, 0, 2, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -10, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 34, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 6, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 38, 0, 0, 0, 0, 0, -98, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 76, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, -50, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, -80, 0, 0, -134, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -4, 0, 0, -32, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, -52, 0, 0, 0, 0, 0, -68, 0, 0, 0, 0, 0, 2, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -164, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, -160, 0, 0, 0, 0, 0, -22, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 32, 0, 0, 54, 0, 0, 0, 0, 0, -122, 0, 0, 0, 0, 0, -26, 0, 0, -128, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 94, 0, 0, 0, 0, 0, 148, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 126, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, 90, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 118, 0, 0, 0, 0, 0, 182, 0, 0, 0, 0, 0, 154, 0, 0, 0, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, 32, 0, 0, 240, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, -180, 0, 0, -296, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 418, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, -240, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -176, 0, 0, 0, 0, 0, 220, 0, 0, 0, 0, 0, -78, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -304, 0, 0, 374, 0, 0, 0, 0, 0, 114, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, -16, 0, 0, -530, 0, 0, 0, 0, 0, 206, 0, 0, 0, 0, 0, 134, 0, 0, 120, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, -122, 0, 0, 0, 0, 0, -348, 0, 0, 0, 0, 0, 72, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -166, 0, 0, 0, 0, 0, -106, 0, 0, 0, 0, 0, 328, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, -352, 0, 0, 0, 0, 0, -404, 0, 0, 0, 0, 0, -94, 0, 0, 0, 0, 0, 0, 0, 0, 184, 0, 0, 0, 0, 0, -272, 0, 0, 196, 0, 0, 0, 0, 0, -306, 0, 0, 0, 0, 0, 324, 0, 0, 160, 0, 0, 0, 0, 0, -248, 0, 0, 0, 0, 0, 0, 0, 0, -338, 0, 0, 0, 0, 0, 332, 0, 0, 0, 0, 0, 278, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 608, 0, 0, 0, 0, 0, -116, 0, 0, 0, 0, 0, -182, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 440, 0, 0, 200, 0, 0, 0, 0, 0, 374, 0, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, 16, 0, 0, 274, 0, 0, 0, 0, 0, -74, 0, 0, 0, 0, 0, 134, 0, 0, -120, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, 0, 580, 0, 0, 0, 0, 0, 248, 0, 0, 0, 0, 0, -246, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -22, 0, 0, 0, 0, 0, 358, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 784, 0, 0, 368, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, -504, 0, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, -16, 0, 0, -470, 0, 0, 0, 0, 0, 414, 0, 0, 0, 0, 0, -60, 0, 0, 280, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 0, -414, 0, 0, 0, 0, 0, -210, 0, 0, 0, 0, 0, -558, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -532, 0, 0, 0, 0, 0, -444, 0, 0, 0, 0, 0, 274, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 200, 0, 0, -874, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, -456, 0, 0, 0, 0, 0, -192, 0, 0, 222, 0, 0, 0, 0, 0, -542, 0, 0, 0, 0, 0, -18, 0, 0, -80, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, -592, 0, 0, 0, 0, 0, 16], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 639572
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 13, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '1080.2.m.a', 'source_level': 1080, 'target_char_orbit': 13, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '1080.2.m.a', 'target_level': 1080, 'twist_class_label': '1080.2.m.a', 'twist_class_level': 1080, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 639573
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '1080.2.m.a', 'source_level': 1080, 'target_char_orbit': 13, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '1080.2.m.a', 'target_level': 1080, 'twist_class_label': '1080.2.m.a', 'twist_class_level': 1080, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 639574
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '1080.2.m.a', 'source_level': 1080, 'target_char_orbit': 13, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '1080.2.m.a', 'target_level': 1080, 'twist_class_label': '1080.2.m.a', 'twist_class_level': 1080, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 639575
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '1080.2.m.a', 'source_level': 1080, 'target_char_orbit': 13, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '1080.2.m.a', 'target_level': 1080, 'twist_class_label': '1080.2.m.a', 'twist_class_level': 1080, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 639576
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': -15, 'source_char_orbit': 13, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '1080.2.m.a', 'source_level': 1080, 'target_char_orbit': 13, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '1080.2.m.a', 'target_level': 1080, 'twist_class_label': '1080.2.m.a', 'twist_class_level': 1080, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 639577
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '1080.2.m.a', 'source_level': 1080, 'target_char_orbit': 13, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '1080.2.m.a', 'target_level': 1080, 'twist_class_label': '1080.2.m.a', 'twist_class_level': 1080, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 639578
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '1080.2.m.a', 'source_level': 1080, 'target_char_orbit': 13, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '1080.2.m.a', 'target_level': 1080, 'twist_class_label': '1080.2.m.a', 'twist_class_level': 1080, 'twisting_char_label': '40.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 639579
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '1080.2.m.a', 'source_level': 1080, 'target_char_orbit': 13, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '1080.2.m.a', 'target_level': 1080, 'twist_class_label': '1080.2.m.a', 'twist_class_level': 1080, 'twisting_char_label': '120.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 639580
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '1080.2.m.a', 'source_level': 1080, 'target_char_orbit': 13, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '4320.2.m.a', 'target_level': 4320, 'twist_class_label': '1080.2.m.a', 'twist_class_level': 1080, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 639581
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '1080.2.m.a', 'source_level': 1080, 'target_char_orbit': 13, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '4320.2.m.a', 'target_level': 4320, 'twist_class_label': '1080.2.m.a', 'twist_class_level': 1080, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 639582
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '1080.2.m.a', 'source_level': 1080, 'target_char_orbit': 13, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '4320.2.m.a', 'target_level': 4320, 'twist_class_label': '1080.2.m.a', 'twist_class_level': 1080, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 639583
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '1080.2.m.a', 'source_level': 1080, 'target_char_orbit': 13, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '4320.2.m.a', 'target_level': 4320, 'twist_class_label': '1080.2.m.a', 'twist_class_level': 1080, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 639584
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '1080.2.m.a', 'source_level': 1080, 'target_char_orbit': 13, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '4320.2.m.a', 'target_level': 4320, 'twist_class_label': '1080.2.m.a', 'twist_class_level': 1080, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 639585
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '1080.2.m.a', 'source_level': 1080, 'target_char_orbit': 13, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '4320.2.m.a', 'target_level': 4320, 'twist_class_label': '1080.2.m.a', 'twist_class_level': 1080, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 639586
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '1080.2.m.a', 'source_level': 1080, 'target_char_orbit': 13, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '4320.2.m.a', 'target_level': 4320, 'twist_class_label': '1080.2.m.a', 'twist_class_level': 1080, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 639587
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '1080.2.m.a', 'source_level': 1080, 'target_char_orbit': 13, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '4320.2.m.a', 'target_level': 4320, 'twist_class_label': '1080.2.m.a', 'twist_class_level': 1080, 'twisting_char_label': '120.i', 'twisting_char_orbit': 9, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1662225
{'charpoly_factorization': [[[16, 0, -4, 0, -3, 0, -1, 0, 1], 1]], 'hecke_orbit_code': 824667276344, 'p': 2}
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id: 1662226
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 824667276344, 'p': 3}
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id: 1662227
{'charpoly_factorization': [[[5, 0, 1], 4]], 'hecke_orbit_code': 824667276344, 'p': 5}
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id: 1662228
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 824667276344, 'p': 7}
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id: 1662229
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 824667276344, 'p': 11}
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id: 1662230
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 824667276344, 'p': 13}
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id: 1662231
{'charpoly_factorization': [[[9, 0, -54, 0, 1], 2]], 'hecke_orbit_code': 824667276344, 'p': 17}
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id: 1662232
{'charpoly_factorization': [[[-41, 4, 1], 4]], 'hecke_orbit_code': 824667276344, 'p': 19}
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id: 1662233
{'charpoly_factorization': [[[121, 0, 58, 0, 1], 2]], 'hecke_orbit_code': 824667276344, 'p': 23}
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id: 1662234
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 824667276344, 'p': 29}
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id: 1662235
{'charpoly_factorization': [[[1089, 0, 126, 0, 1], 2]], 'hecke_orbit_code': 824667276344, 'p': 31}
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id: 1662236
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 824667276344, 'p': 37}
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id: 1662237
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 824667276344, 'p': 41}
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id: 1662238
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 824667276344, 'p': 43}
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id: 1662239
{'charpoly_factorization': [[[80, 0, 1], 4]], 'hecke_orbit_code': 824667276344, 'p': 47}
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id: 1662240
{'charpoly_factorization': [[[19321, 0, 298, 0, 1], 2]], 'hecke_orbit_code': 824667276344, 'p': 53}
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id: 1662241
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 824667276344, 'p': 59}
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id: 1662242
{'charpoly_factorization': [[[3249, 0, 126, 0, 1], 2]], 'hecke_orbit_code': 824667276344, 'p': 61}
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id: 1662243
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 824667276344, 'p': 67}
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id: 1662244
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 824667276344, 'p': 71}
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id: 1662245
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 824667276344, 'p': 73}
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id: 1662246
{'charpoly_factorization': [[[31329, 0, 414, 0, 1], 2]], 'hecke_orbit_code': 824667276344, 'p': 79}
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id: 1662247
{'charpoly_factorization': [[[56169, 0, -486, 0, 1], 2]], 'hecke_orbit_code': 824667276344, 'p': 83}
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id: 1662248
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 824667276344, 'p': 89}
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id: 1662249
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 824667276344, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 13, 'hecke_orbit': 1, 'label': '1080.2.m.a', 'level': 1080, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 11275698
{'hecke_orbit_code': 824667276344, 'n': 1, 'trace_an': 8}
-
id: 11275699
{'hecke_orbit_code': 824667276344, 'n': 2, 'trace_an': 0}
-
id: 11275700
{'hecke_orbit_code': 824667276344, 'n': 3, 'trace_an': 0}
-
id: 11275701
{'hecke_orbit_code': 824667276344, 'n': 4, 'trace_an': 2}
-
id: 11275702
{'hecke_orbit_code': 824667276344, 'n': 5, 'trace_an': 0}
-
id: 11275703
{'hecke_orbit_code': 824667276344, 'n': 6, 'trace_an': 0}
-
id: 11275704
{'hecke_orbit_code': 824667276344, 'n': 7, 'trace_an': 0}
-
id: 11275705
{'hecke_orbit_code': 824667276344, 'n': 8, 'trace_an': 0}
-
id: 11275706
{'hecke_orbit_code': 824667276344, 'n': 9, 'trace_an': 0}
-
id: 11275707
{'hecke_orbit_code': 824667276344, 'n': 10, 'trace_an': 10}
-
id: 11275708
{'hecke_orbit_code': 824667276344, 'n': 11, 'trace_an': 0}
-
id: 11275709
{'hecke_orbit_code': 824667276344, 'n': 12, 'trace_an': 0}
-
id: 11275710
{'hecke_orbit_code': 824667276344, 'n': 13, 'trace_an': 0}
-
id: 11275711
{'hecke_orbit_code': 824667276344, 'n': 14, 'trace_an': 0}
-
id: 11275712
{'hecke_orbit_code': 824667276344, 'n': 15, 'trace_an': 0}
-
id: 11275713
{'hecke_orbit_code': 824667276344, 'n': 16, 'trace_an': 14}
-
id: 11275714
{'hecke_orbit_code': 824667276344, 'n': 17, 'trace_an': 0}
-
id: 11275715
{'hecke_orbit_code': 824667276344, 'n': 18, 'trace_an': 0}
-
id: 11275716
{'hecke_orbit_code': 824667276344, 'n': 19, 'trace_an': -16}
-
id: 11275717
{'hecke_orbit_code': 824667276344, 'n': 20, 'trace_an': 0}
-
id: 11275718
{'hecke_orbit_code': 824667276344, 'n': 21, 'trace_an': 0}
-
id: 11275719
{'hecke_orbit_code': 824667276344, 'n': 22, 'trace_an': 0}
-
id: 11275720
{'hecke_orbit_code': 824667276344, 'n': 23, 'trace_an': 0}
-
id: 11275721
{'hecke_orbit_code': 824667276344, 'n': 24, 'trace_an': 0}
-
id: 11275722
{'hecke_orbit_code': 824667276344, 'n': 25, 'trace_an': -40}
-
id: 11275723
{'hecke_orbit_code': 824667276344, 'n': 26, 'trace_an': 0}
-
id: 11275724
{'hecke_orbit_code': 824667276344, 'n': 27, 'trace_an': 0}
-
id: 11275725
{'hecke_orbit_code': 824667276344, 'n': 28, 'trace_an': 0}
-
id: 11275726
{'hecke_orbit_code': 824667276344, 'n': 29, 'trace_an': 0}
-
id: 11275727
{'hecke_orbit_code': 824667276344, 'n': 30, 'trace_an': 0}
-
id: 11275728
{'hecke_orbit_code': 824667276344, 'n': 31, 'trace_an': 0}
-
id: 11275729
{'hecke_orbit_code': 824667276344, 'n': 32, 'trace_an': 0}
-
id: 11275730
{'hecke_orbit_code': 824667276344, 'n': 33, 'trace_an': 0}
-
id: 11275731
{'hecke_orbit_code': 824667276344, 'n': 34, 'trace_an': -18}
-
id: 11275732
{'hecke_orbit_code': 824667276344, 'n': 35, 'trace_an': 0}
-
id: 11275733
{'hecke_orbit_code': 824667276344, 'n': 36, 'trace_an': 0}
-
id: 11275734
{'hecke_orbit_code': 824667276344, 'n': 37, 'trace_an': 0}
-
id: 11275735
{'hecke_orbit_code': 824667276344, 'n': 38, 'trace_an': 0}
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id: 11275736
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{'hecke_orbit_code': 824667276344, 'n': 961, 'trace_an': -256}
-
id: 11275950
{'hecke_orbit_code': 824667276344, 'n': 967, 'trace_an': 0}
-
id: 11275951
{'hecke_orbit_code': 824667276344, 'n': 971, 'trace_an': 0}
-
id: 11275952
{'hecke_orbit_code': 824667276344, 'n': 977, 'trace_an': 0}
-
id: 11275953
{'hecke_orbit_code': 824667276344, 'n': 983, 'trace_an': 0}
-
id: 11275954
{'hecke_orbit_code': 824667276344, 'n': 991, 'trace_an': 0}
-
id: 11275955
{'hecke_orbit_code': 824667276344, 'n': 997, 'trace_an': 0}