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mf_newforms • Show schema
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{'Nk2': 24300, 'analytic_conductor': 48.50911922792783, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, 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': [6075, 1, [4376, 1702], [1, 1]], 'cm_discs': [-3], '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, [0, 1]], [7, [-4, 1]], [11, [0, 1]], [13, [-7, 1]]], 'hecke_orbit': 23, 'hecke_orbit_code': 99079191835711419, 'hecke_ring_generator_nbound': 1, '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, 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mf_hecke_cc • Show schema
Hide schema
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'dual_embedding_index': 1, 'dual_embedding_m': 1, 'embedding_index': 1, 'embedding_m': 1, 'embedding_root_imag': 0.0, 'embedding_root_real': 0.0, 'hecke_orbit': 23, 'hecke_orbit_code': 99079191835711419, 'label': '6075.2.a.w.1.1', 'level': 6075, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [48, 64, 60, 56], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [26, 27, 27, 27], 'ALdims_old': [133, 134, 138, 124], 'Nk2': 24300, 'analytic_conductor': 48.50911922792783, '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': [6075, 1, [4376, 1702], [1, 1]], 'conrey_index': 1, 'cusp_dim': 757, 'dim': 228, 'eis_dim': 107, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7, 11, 13], 'hecke_orbit_code': 33560507, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 9, 9, 12, 12, 12, 12, 12, 12], 'label': '6075.2.a', 'level': 6075, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 864, 'mf_new_dim': 228, 'num_forms': 70, 'plus_dim': 104, 'prim_orbit_index': 1, 'relative_dim': 228, 'sturm_bound': 1620, 'trace_bound': 13, 'trace_display': [0, 0, 0, -3], 'traces': [228, 0, 0, 228, 0, 0, -3, 0, 0, 0, 0, 0, -3, 0, 0, 228, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, -12, 0, 0, 18, 0, 0, -3, 0, 0, 0, 0, 0, -12, 0, 0, 18, 0, 0, 225, 0, 0, -12, 0, 0, 0, 0, 0, 18, 0, 0, 24, 0, 0, 246, 0, 0, 24, 0, 0, 0, 0, 0, 24, 0, 0, 6, 0, 0, 15, 0, 0, -72, 0, 0, 0, 0, 0, 36, 0, 0, 12, 0, 0, 36, 0, 0, -75, 0, 0, 0, 0, 0, 42, 0, 0, -54, 0, 0, -30, 0, 0, -30, 0, 0, 0, 0, 0, 54, 0, 0, 246, 0, 0, -12, 0, 0, 6, 0, 0, 0, 0, 0, -6, 0, 0, 36, 0, 0, 33, 0, 0, 144, 0, 0, 0, 0, 0, 132, 0, 0, 60, 0, 0, 162, 0, 0, -12, 0, 0, 0, 0, 0, -3, 0, 0, 18, 0, 0, 189, 0, 0, 114, 0, 0, 0, 0, 0, 36, 0, 0, -111, 0, 0, 180, 0, 0, 18, 0, 0, 0, 0, 0, 60, 0, 0, 162, 0, 0, -3, 0, 0, -126, 0, 0, 0, 0, 0, -84, 0, 0, -39, 0, 0, 180, 0, 0, 75, 0, 0, 0, 0, 0, 6, 0, 0, -54, 0, 0, -30, 0, 0, 198, 0, 0, 0, 0, 0, -18, 0, 0, 15, 0, 0, 150, 0, 0, 111, 0, 0, 0, 0, 0, 36, 0, 0, 336, 0, 0, 57, 0, 0, 72, 0, 0, 0, 0, 0, 42, 0, 0, 78, 0, 0, 198, 0, 0, -120, 0, 0, 0, 0, 0, -30, 0, 0, -18, 0, 0, 246, 0, 0, 168, 0, 0, 0, 0, 0, 144, 0, 0, -51, 0, 0, -138, 0, 0, 78, 0, 0, 0, 0, 0, -39, 0, 0, -102, 0, 0, 18, 0, 0, 36, 0, 0, 0, 0, 0, -234, 0, 0, 15, 0, 0, -108, 0, 0, -39, 0, 0, 0, 0, 0, 93, 0, 0, -180, 0, 0, -237, 0, 0, 162, 0, 0, 0, 0, 0, 126, 0, 0, 171, 0, 0, 156, 0, 0, 78, 0, 0, 0, 0, 0, -237, 0, 0, -54, 0, 0, -75, 0, 0, 180, 0, 0, 0, 0, 0, -138, 0, 0, -72, 0, 0, -144, 0, 0, -210, 0, 0, 0, 0, 0, -33, 0, 0, 18, 0, 0, -57, 0, 0, 78, 0, 0, 0, 0, 0, -108, 0, 0, -3, 0, 0, -252, 0, 0, -195, 0, 0, 0, 0, 0, -84, 0, 0, -264, 0, 0, 168, 0, 0, -180, 0, 0, 0, 0, 0, 168, 0, 0, 108, 0, 0, -36, 0, 0, -192, 0, 0, 0, 0, 0, 51, 0, 0, 0, 0, 0, 3, 0, 0, 126, 0, 0, 0, 0, 0, 0, 0, 0, -78, 0, 0, 372, 0, 0, -183, 0, 0, 0, 0, 0, -216, 0, 0, -12, 0, 0, 96, 0, 0, -270, 0, 0, 0, 0, 0, 78, 0, 0, -159, 0, 0, -90, 0, 0, -198, 0, 0, 0, 0, 0, 132, 0, 0, 144, 0, 0, 228, 0, 0, 138, 0, 0, 0, 0, 0, -72, 0, 0, -93, 0, 0, -144, 0, 0, 60, 0, 0, 0, 0, 0, -78, 0, 0, 132, 0, 0, 129, 0, 0, 216, 0, 0, 0, 0, 0, 306, 0, 0, 303, 0, 0, 72, 0, 0, 60, 0, 0, 0, 0, 0, 324, 0, 0, -54, 0, 0, 93, 0, 0, 438, 0, 0, 0, 0, 0, 162, 0, 0, -84, 0, 0, 420, 0, 0, -93, 0, 0, 0, 0, 0, -246, 0, 0, 396, 0, 0, 114, 0, 0, 0, 0, 0, 0, 0, 0, -426, 0, 0, 267, 0, 0, -486, 0, 0, 45, 0, 0, 0, 0, 0, 150, 0, 0, 36, 0, 0, 72, 0, 0, 24, 0, 0, 0, 0, 0, -450, 0, 0, 132, 0, 0, 234, 0, 0, 306, 0, 0, 0, 0, 0, -3, 0, 0, 180, 0, 0, -78, 0, 0, -270, 0, 0, 0, 0, 0, 168, 0, 0, -318, 0, 0, 126, 0, 0, -18, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 33, 0, 0, 54, 0, 0, 0, 0, 0, -504, 0, 0, -33, 0, 0, -606, 0, 0, -48, 0, 0, 0, 0, 0, -84, 0, 0, 270, 0, 0, -210, 0, 0, -36, 0, 0, 0, 0, 0, -90, 0, 0, 15, 0, 0, -198, 0, 0, 42, 0, 0, 0, 0, 0, 435, 0, 0, -288, 0, 0, -21, 0, 0, 114, 0, 0, 0, 0, 0, -126, 0, 0, 108, 0, 0, -234, 0, 0, -48, 0, 0, 0, 0, 0, -105, 0, 0, -426, 0, 0, -36, 0, 0, -288, 0, 0, 0, 0, 0, -432, 0, 0, -246, 0, 0, -234, 0, 0, 75, 0, 0, 0, 0, 0, 213, 0, 0, -324, 0, 0, -57, 0, 0, -534, 0, 0, 0, 0, 0, -540, 0, 0, 228, 0, 0, -228, 0, 0, -435, 0, 0, 0, 0, 0, -174, 0, 0, 0, 0, 0, -219, 0, 0, -252, 0, 0, 0, 0, 0, -330, 0, 0, -69, 0, 0, -648, 0, 0, 303, 0, 0, 0, 0, 0, 87, 0, 0, -432, 0, 0, 111, 0, 0, -174, 0, 0, 0, 0, 0, 126, 0, 0, 216, 0, 0, -90, 0, 0, -93, 0, 0, 0, 0, 0, 270, 0, 0, -210, 0, 0, 150, 0, 0, -522, 0, 0, 0, 0, 0, 558, 0, 0, -387, 0, 0, -720, 0, 0, -129, 0, 0, 0, 0, 0, 162, 0, 0, -288, 0, 0, -213, 0, 0, 18, 0, 0, 0, 0, 0, 54, 0, 0, 414, 0, 0, -84, 0, 0, 330, 0, 0, 0, 0, 0, 255, 0, 0, -12, 0, 0, -378, 0, 0, 144, 0, 0, 0, 0, 0, 354, 0, 0, 60, 0, 0, 252, 0, 0, 294, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48440155
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 99079191835711419, 'source_is_minimal': False, 'source_label': '6075.2.a.w.1.1', 'source_level': 6075, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 99079191835711419, 'target_is_minimal': False, 'target_label': '6075.2.a.w.1.1', 'target_level': 6075, 'twist_class_label': '243.2.a.a.1.1', 'twist_class_level': 243, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48440156
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 99079191835711419, 'source_is_minimal': False, 'source_label': '6075.2.a.w.1.1', 'source_level': 6075, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 99079191835711419, 'target_is_minimal': False, 'target_label': '6075.2.a.w.1.1', 'target_level': 6075, 'twist_class_label': '243.2.a.a.1.1', 'twist_class_level': 243, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48440157
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 99079191835711419, 'source_is_minimal': False, 'source_label': '6075.2.a.w.1.1', 'source_level': 6075, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33554675, 'target_is_minimal': True, 'target_label': '243.2.a.a.1.1', 'target_level': 243, 'twist_class_label': '243.2.a.a.1.1', 'twist_class_level': 243, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48440158
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 99079191835711419, 'source_is_minimal': False, 'source_label': '6075.2.a.w.1.1', 'source_level': 6075, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33554675, 'target_is_minimal': True, 'target_label': '243.2.a.a.1.1', 'target_level': 243, 'twist_class_label': '243.2.a.a.1.1', 'twist_class_level': 243, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 48440159
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 99079191835711419, 'source_is_minimal': False, 'source_label': '6075.2.a.w.1.1', 'source_level': 6075, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58546795189374768, 'target_is_minimal': False, 'target_label': '3888.2.a.n.1.1', 'target_level': 3888, 'twist_class_label': '243.2.a.a.1.1', 'twist_class_level': 243, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 48440160
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 99079191835711419, 'source_is_minimal': False, 'source_label': '6075.2.a.w.1.1', 'source_level': 6075, 'target_conrey_index': 163, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503737099878643, 'target_is_minimal': False, 'target_label': '243.2.c.b.163.1', 'target_level': 243, 'twist_class_label': '243.2.a.a.1.1', 'twist_class_level': 243, 'twisting_char_label': '45.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48440161
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 99079191835711419, 'source_is_minimal': False, 'source_label': '6075.2.a.w.1.1', 'source_level': 6075, 'target_conrey_index': 163, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503737099878643, 'target_is_minimal': False, 'target_label': '243.2.c.b.163.1', 'target_level': 243, 'twist_class_label': '243.2.a.a.1.1', 'twist_class_level': 243, 'twisting_char_label': '45.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 48440162
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 99079191835711419, 'source_is_minimal': False, 'source_label': '6075.2.a.w.1.1', 'source_level': 6075, 'target_conrey_index': 82, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503737099878643, 'target_is_minimal': False, 'target_label': '243.2.c.b.82.1', 'target_level': 243, 'twist_class_label': '243.2.a.a.1.1', 'twist_class_level': 243, 'twisting_char_label': '45.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 48440163
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 99079191835711419, 'source_is_minimal': False, 'source_label': '6075.2.a.w.1.1', 'source_level': 6075, 'target_conrey_index': 82, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503737099878643, 'target_is_minimal': False, 'target_label': '243.2.c.b.82.1', 'target_level': 243, 'twist_class_label': '243.2.a.a.1.1', 'twist_class_level': 243, 'twisting_char_label': '45.34', 'twisting_conrey_index': 34, 'weight': 2}
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id: 48440164
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 99079191835711419, 'source_is_minimal': False, 'source_label': '6075.2.a.w.1.1', 'source_level': 6075, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58546795189374768, 'target_is_minimal': False, 'target_label': '3888.2.a.n.1.1', 'target_level': 3888, 'twist_class_label': '243.2.a.a.1.1', 'twist_class_level': 243, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 48440165
{'conductor': 135, 'degree': 6, 'order': 18, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 99079191835711419, 'source_is_minimal': False, 'source_label': '6075.2.a.w.1.1', 'source_level': 6075, 'target_conrey_index': 406, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014673420944089, 'target_is_minimal': False, 'target_label': '729.2.e.e.406.1', 'target_level': 729, 'twist_class_label': '243.2.a.a.1.1', 'twist_class_level': 243, 'twisting_char_label': '135.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48440166
{'conductor': 135, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 99079191835711419, 'source_is_minimal': False, 'source_label': '6075.2.a.w.1.1', 'source_level': 6075, 'target_conrey_index': 163, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014673420944089, 'target_is_minimal': False, 'target_label': '729.2.e.e.163.1', 'target_level': 729, 'twist_class_label': '243.2.a.a.1.1', 'twist_class_level': 243, 'twisting_char_label': '135.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 48440167
{'conductor': 135, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 99079191835711419, 'source_is_minimal': False, 'source_label': '6075.2.a.w.1.1', 'source_level': 6075, 'target_conrey_index': 568, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014673420944089, 'target_is_minimal': False, 'target_label': '729.2.e.e.568.1', 'target_level': 729, 'twist_class_label': '243.2.a.a.1.1', 'twist_class_level': 243, 'twisting_char_label': '135.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 48440168
{'conductor': 135, 'degree': 6, 'order': 18, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 99079191835711419, 'source_is_minimal': False, 'source_label': '6075.2.a.w.1.1', 'source_level': 6075, 'target_conrey_index': 325, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014673420944089, 'target_is_minimal': False, 'target_label': '729.2.e.e.325.1', 'target_level': 729, 'twist_class_label': '243.2.a.a.1.1', 'twist_class_level': 243, 'twisting_char_label': '135.34', 'twisting_conrey_index': 34, 'weight': 2}
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id: 48440169
{'conductor': 135, 'degree': 6, 'order': 18, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 99079191835711419, 'source_is_minimal': False, 'source_label': '6075.2.a.w.1.1', 'source_level': 6075, 'target_conrey_index': 649, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014673420944089, 'target_is_minimal': False, 'target_label': '729.2.e.e.649.1', 'target_level': 729, 'twist_class_label': '243.2.a.a.1.1', 'twist_class_level': 243, 'twisting_char_label': '135.49', 'twisting_conrey_index': 49, 'weight': 2}
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id: 48440170
{'conductor': 135, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 99079191835711419, 'source_is_minimal': False, 'source_label': '6075.2.a.w.1.1', 'source_level': 6075, 'target_conrey_index': 649, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014673420944089, 'target_is_minimal': False, 'target_label': '729.2.e.e.649.1', 'target_level': 729, 'twist_class_label': '243.2.a.a.1.1', 'twist_class_level': 243, 'twisting_char_label': '135.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 48440171
{'conductor': 135, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 99079191835711419, 'source_is_minimal': False, 'source_label': '6075.2.a.w.1.1', 'source_level': 6075, 'target_conrey_index': 325, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014673420944089, 'target_is_minimal': False, 'target_label': '729.2.e.e.325.1', 'target_level': 729, 'twist_class_label': '243.2.a.a.1.1', 'twist_class_level': 243, 'twisting_char_label': '135.74', 'twisting_conrey_index': 74, 'weight': 2}
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id: 48440172
{'conductor': 135, 'degree': 6, 'order': 18, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 99079191835711419, 'source_is_minimal': False, 'source_label': '6075.2.a.w.1.1', 'source_level': 6075, 'target_conrey_index': 568, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014673420944089, 'target_is_minimal': False, 'target_label': '729.2.e.e.568.1', 'target_level': 729, 'twist_class_label': '243.2.a.a.1.1', 'twist_class_level': 243, 'twisting_char_label': '135.79', 'twisting_conrey_index': 79, 'weight': 2}
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id: 48440173
{'conductor': 135, 'degree': 6, 'order': 18, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 99079191835711419, 'source_is_minimal': False, 'source_label': '6075.2.a.w.1.1', 'source_level': 6075, 'target_conrey_index': 163, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014673420944089, 'target_is_minimal': False, 'target_label': '729.2.e.e.163.1', 'target_level': 729, 'twist_class_label': '243.2.a.a.1.1', 'twist_class_level': 243, 'twisting_char_label': '135.94', 'twisting_conrey_index': 94, 'weight': 2}
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id: 48440174
{'conductor': 135, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 99079191835711419, 'source_is_minimal': False, 'source_label': '6075.2.a.w.1.1', 'source_level': 6075, 'target_conrey_index': 406, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014673420944089, 'target_is_minimal': False, 'target_label': '729.2.e.e.406.1', 'target_level': 729, 'twist_class_label': '243.2.a.a.1.1', 'twist_class_level': 243, 'twisting_char_label': '135.104', 'twisting_conrey_index': 104, 'weight': 2}
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id: 48440175
{'conductor': 135, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 99079191835711419, 'source_is_minimal': False, 'source_label': '6075.2.a.w.1.1', 'source_level': 6075, 'target_conrey_index': 82, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014673420944089, 'target_is_minimal': False, 'target_label': '729.2.e.e.82.1', 'target_level': 729, 'twist_class_label': '243.2.a.a.1.1', 'twist_class_level': 243, 'twisting_char_label': '135.119', 'twisting_conrey_index': 119, 'weight': 2}
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id: 48440176
{'conductor': 135, 'degree': 6, 'order': 18, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 99079191835711419, 'source_is_minimal': False, 'source_label': '6075.2.a.w.1.1', 'source_level': 6075, 'target_conrey_index': 82, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014673420944089, 'target_is_minimal': False, 'target_label': '729.2.e.e.82.1', 'target_level': 729, 'twist_class_label': '243.2.a.a.1.1', 'twist_class_level': 243, 'twisting_char_label': '135.124', 'twisting_conrey_index': 124, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4082875
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 99079191835711419, 'p': 2}
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id: 4082876
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 99079191835711419, 'p': 3}
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id: 4082877
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 99079191835711419, 'p': 5}
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id: 4082878
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 99079191835711419, 'p': 7}
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id: 4082879
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 99079191835711419, 'p': 11}
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id: 4082880
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 99079191835711419, 'p': 13}
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id: 4082881
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 99079191835711419, 'p': 17}
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id: 4082882
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 99079191835711419, 'p': 19}
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id: 4082883
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 99079191835711419, 'p': 23}
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id: 4082884
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 99079191835711419, 'p': 29}
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id: 4082885
{'charpoly_factorization': [[[-11, 1], 1]], 'hecke_orbit_code': 99079191835711419, 'p': 31}
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id: 4082886
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 99079191835711419, 'p': 37}
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id: 4082887
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 99079191835711419, 'p': 41}
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id: 4082888
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 99079191835711419, 'p': 43}
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id: 4082889
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 99079191835711419, 'p': 47}
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id: 4082890
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 99079191835711419, 'p': 53}
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id: 4082891
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 99079191835711419, 'p': 59}
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id: 4082892
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 99079191835711419, 'p': 61}
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id: 4082893
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 99079191835711419, 'p': 67}
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id: 4082894
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 99079191835711419, 'p': 71}
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id: 4082895
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 99079191835711419, 'p': 73}
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id: 4082896
{'charpoly_factorization': [[[13, 1], 1]], 'hecke_orbit_code': 99079191835711419, 'p': 79}
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id: 4082897
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 99079191835711419, 'p': 83}
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id: 4082898
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 99079191835711419, 'p': 89}
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id: 4082899
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 99079191835711419, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 23, 'label': '6075.2.a.w', 'level': 6075, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 65518303
{'hecke_orbit_code': 99079191835711419, 'n': 1, 'trace_an': 1}
-
id: 65518304
{'hecke_orbit_code': 99079191835711419, 'n': 2, 'trace_an': 0}
-
id: 65518305
{'hecke_orbit_code': 99079191835711419, 'n': 3, 'trace_an': 0}
-
id: 65518306
{'hecke_orbit_code': 99079191835711419, 'n': 4, 'trace_an': -2}
-
id: 65518307
{'hecke_orbit_code': 99079191835711419, 'n': 5, 'trace_an': 0}
-
id: 65518308
{'hecke_orbit_code': 99079191835711419, 'n': 6, 'trace_an': 0}
-
id: 65518309
{'hecke_orbit_code': 99079191835711419, 'n': 7, 'trace_an': 4}
-
id: 65518310
{'hecke_orbit_code': 99079191835711419, 'n': 8, 'trace_an': 0}
-
id: 65518311
{'hecke_orbit_code': 99079191835711419, 'n': 9, 'trace_an': 0}
-
id: 65518312
{'hecke_orbit_code': 99079191835711419, 'n': 10, 'trace_an': 0}
-
id: 65518313
{'hecke_orbit_code': 99079191835711419, 'n': 11, 'trace_an': 0}
-
id: 65518314
{'hecke_orbit_code': 99079191835711419, 'n': 12, 'trace_an': 0}
-
id: 65518315
{'hecke_orbit_code': 99079191835711419, 'n': 13, 'trace_an': 7}
-
id: 65518316
{'hecke_orbit_code': 99079191835711419, 'n': 14, 'trace_an': 0}
-
id: 65518317
{'hecke_orbit_code': 99079191835711419, 'n': 15, 'trace_an': 0}
-
id: 65518318
{'hecke_orbit_code': 99079191835711419, 'n': 16, 'trace_an': 4}
-
id: 65518319
{'hecke_orbit_code': 99079191835711419, 'n': 17, 'trace_an': 0}
-
id: 65518320
{'hecke_orbit_code': 99079191835711419, 'n': 18, 'trace_an': 0}
-
id: 65518321
{'hecke_orbit_code': 99079191835711419, 'n': 19, 'trace_an': -1}
-
id: 65518322
{'hecke_orbit_code': 99079191835711419, 'n': 20, 'trace_an': 0}
-
id: 65518323
{'hecke_orbit_code': 99079191835711419, 'n': 21, 'trace_an': 0}
-
id: 65518324
{'hecke_orbit_code': 99079191835711419, 'n': 22, 'trace_an': 0}
-
id: 65518325
{'hecke_orbit_code': 99079191835711419, 'n': 23, 'trace_an': 0}
-
id: 65518326
{'hecke_orbit_code': 99079191835711419, 'n': 24, 'trace_an': 0}
-
id: 65518327
{'hecke_orbit_code': 99079191835711419, 'n': 25, 'trace_an': 0}
-
id: 65518328
{'hecke_orbit_code': 99079191835711419, 'n': 26, 'trace_an': 0}
-
id: 65518329
{'hecke_orbit_code': 99079191835711419, 'n': 27, 'trace_an': 0}
-
id: 65518330
{'hecke_orbit_code': 99079191835711419, 'n': 28, 'trace_an': -8}
-
id: 65518331
{'hecke_orbit_code': 99079191835711419, 'n': 29, 'trace_an': 0}
-
id: 65518332
{'hecke_orbit_code': 99079191835711419, 'n': 30, 'trace_an': 0}
-
id: 65518333
{'hecke_orbit_code': 99079191835711419, 'n': 31, 'trace_an': 11}
-
id: 65518334
{'hecke_orbit_code': 99079191835711419, 'n': 32, 'trace_an': 0}
-
id: 65518335
{'hecke_orbit_code': 99079191835711419, 'n': 33, 'trace_an': 0}
-
id: 65518336
{'hecke_orbit_code': 99079191835711419, 'n': 34, 'trace_an': 0}
-
id: 65518337
{'hecke_orbit_code': 99079191835711419, 'n': 35, 'trace_an': 0}
-
id: 65518338
{'hecke_orbit_code': 99079191835711419, 'n': 36, 'trace_an': 0}
-
id: 65518339
{'hecke_orbit_code': 99079191835711419, 'n': 37, 'trace_an': 10}
-
id: 65518340
{'hecke_orbit_code': 99079191835711419, 'n': 38, 'trace_an': 0}
-
id: 65518341
{'hecke_orbit_code': 99079191835711419, 'n': 39, 'trace_an': 0}
-
id: 65518342
{'hecke_orbit_code': 99079191835711419, 'n': 40, 'trace_an': 0}
-
id: 65518343
{'hecke_orbit_code': 99079191835711419, 'n': 41, 'trace_an': 0}
-
id: 65518344
{'hecke_orbit_code': 99079191835711419, 'n': 42, 'trace_an': 0}
-
id: 65518345
{'hecke_orbit_code': 99079191835711419, 'n': 43, 'trace_an': -5}
-
id: 65518346
{'hecke_orbit_code': 99079191835711419, 'n': 44, 'trace_an': 0}
-
id: 65518347
{'hecke_orbit_code': 99079191835711419, 'n': 45, 'trace_an': 0}
-
id: 65518348
{'hecke_orbit_code': 99079191835711419, 'n': 46, 'trace_an': 0}
-
id: 65518349
{'hecke_orbit_code': 99079191835711419, 'n': 47, 'trace_an': 0}
-
id: 65518350
{'hecke_orbit_code': 99079191835711419, 'n': 48, 'trace_an': 0}
-
id: 65518351
{'hecke_orbit_code': 99079191835711419, 'n': 49, 'trace_an': 9}
-
id: 65518352
{'hecke_orbit_code': 99079191835711419, 'n': 50, 'trace_an': 0}
-
id: 65518353
{'hecke_orbit_code': 99079191835711419, 'n': 51, 'trace_an': 0}
-
id: 65518354
{'hecke_orbit_code': 99079191835711419, 'n': 52, 'trace_an': -14}
-
id: 65518355
{'hecke_orbit_code': 99079191835711419, 'n': 53, 'trace_an': 0}
-
id: 65518356
{'hecke_orbit_code': 99079191835711419, 'n': 54, 'trace_an': 0}
-
id: 65518357
{'hecke_orbit_code': 99079191835711419, 'n': 55, 'trace_an': 0}
-
id: 65518358
{'hecke_orbit_code': 99079191835711419, 'n': 56, 'trace_an': 0}
-
id: 65518359
{'hecke_orbit_code': 99079191835711419, 'n': 57, 'trace_an': 0}
-
id: 65518360
{'hecke_orbit_code': 99079191835711419, 'n': 58, 'trace_an': 0}
-
id: 65518361
{'hecke_orbit_code': 99079191835711419, 'n': 59, 'trace_an': 0}
-
id: 65518362
{'hecke_orbit_code': 99079191835711419, 'n': 60, 'trace_an': 0}
-
id: 65518363
{'hecke_orbit_code': 99079191835711419, 'n': 61, 'trace_an': -1}
-
id: 65518364
{'hecke_orbit_code': 99079191835711419, 'n': 62, 'trace_an': 0}
-
id: 65518365
{'hecke_orbit_code': 99079191835711419, 'n': 63, 'trace_an': 0}
-
id: 65518366
{'hecke_orbit_code': 99079191835711419, 'n': 64, 'trace_an': -8}
-
id: 65518367
{'hecke_orbit_code': 99079191835711419, 'n': 65, 'trace_an': 0}
-
id: 65518368
{'hecke_orbit_code': 99079191835711419, 'n': 66, 'trace_an': 0}
-
id: 65518369
{'hecke_orbit_code': 99079191835711419, 'n': 67, 'trace_an': -5}
-
id: 65518370
{'hecke_orbit_code': 99079191835711419, 'n': 68, 'trace_an': 0}
-
id: 65518371
{'hecke_orbit_code': 99079191835711419, 'n': 69, 'trace_an': 0}
-
id: 65518372
{'hecke_orbit_code': 99079191835711419, 'n': 70, 'trace_an': 0}
-
id: 65518373
{'hecke_orbit_code': 99079191835711419, 'n': 71, 'trace_an': 0}
-
id: 65518374
{'hecke_orbit_code': 99079191835711419, 'n': 72, 'trace_an': 0}
-
id: 65518375
{'hecke_orbit_code': 99079191835711419, 'n': 73, 'trace_an': 7}
-
id: 65518376
{'hecke_orbit_code': 99079191835711419, 'n': 74, 'trace_an': 0}
-
id: 65518377
{'hecke_orbit_code': 99079191835711419, 'n': 75, 'trace_an': 0}
-
id: 65518378
{'hecke_orbit_code': 99079191835711419, 'n': 76, 'trace_an': 2}
-
id: 65518379
{'hecke_orbit_code': 99079191835711419, 'n': 77, 'trace_an': 0}
-
id: 65518380
{'hecke_orbit_code': 99079191835711419, 'n': 78, 'trace_an': 0}
-
id: 65518381
{'hecke_orbit_code': 99079191835711419, 'n': 79, 'trace_an': -13}
-
id: 65518382
{'hecke_orbit_code': 99079191835711419, 'n': 80, 'trace_an': 0}
-
id: 65518383
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