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{'Nk2': 38720, 'analytic_conductor': 77.2951891565994, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [5, 1], [11, -1]], 'atkin_lehner_string': '++-', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [9680, 1, [3631, 2421, 1937, 4721], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 6, 'field_disc': 45753625, 'field_disc_factorization': [[5, 3], [366029, 1]], 'field_poly': [-20, -30, 41, 11, -13, -1, 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': [[3, [20, 50, 21, -23, -12, 2, 1]], [7, [11, -64, 15, 61, -7, -6, 1]], [13, [-151, -738, 177, 141, -25, -6, 1]], [17, [-484, 1078, -245, -216, 6, 11, 1]]], 'hecke_orbit': 77, 'hecke_orbit_code': 342273571713721808, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '9680.2.a.cy', 'level': 9680, '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, 5, 11], 'level_radical': 110, 'minimal_twist': '440.2.y.b', 'nf_label': '6.6.45753625.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{3}q^{3}-q^{5}+(1-\\beta _{2}-\\beta _{5})q^{7}+(-2\\beta _{2}+\\cdots)q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '9680.2.a', 'trace_display': 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'dual_embedding_index': 6, 'dual_embedding_m': 6, 'embedding_index': 6, 'embedding_m': 6, 'embedding_root_imag': 0.0, 'embedding_root_real': 1.875110298804074, 'hecke_orbit': 77, 'hecke_orbit_code': 342273571713721808, 'label': '9680.2.a.cy.1.6', 'level': 9680, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [24, 30, 30, 25, 30, 25, 24, 30], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [17, 18, 18, 18, 18, 18, 18, 18], 'ALdims_old': [157, 168, 162, 161, 168, 155, 162, 162], 'Nk2': 38720, 'analytic_conductor': 77.2951891565994, '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': [9680, 1, [3631, 2421, 1937, 4721], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1513, 'dim': 218, 'eis_dim': 143, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 13, 17], 'hecke_orbit_code': 33564112, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8], 'label': '9680.2.a', 'level': 9680, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': 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0, 32, 0, 192, 0, -32, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
Hide schema
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id: 49149059
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 342273571713721808, 'source_is_minimal': False, 'source_label': '9680.2.a.cy.1.6', 'source_level': 9680, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 342273571713721808, 'target_is_minimal': False, 'target_label': '9680.2.a.cy.1.6', 'target_level': 9680, 'twist_class_label': '440.2.y.b.361.3', 'twist_class_level': 440, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49149060
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 342273571713721808, 'source_is_minimal': False, 'source_label': '9680.2.a.cy.1.6', 'source_level': 9680, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 135107988854674152, 'target_is_minimal': False, 'target_label': '4840.2.a.be.1.1', 'target_level': 4840, 'twist_class_label': '440.2.y.b.361.3', 'twist_class_level': 440, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 49149061
{'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 342273571713721808, 'source_is_minimal': False, 'source_label': '9680.2.a.cy.1.6', 'source_level': 9680, 'target_conrey_index': 401, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40535145458959216, 'target_is_minimal': False, 'target_label': '880.2.bo.j.401.1', 'target_level': 880, 'twist_class_label': '440.2.y.b.361.3', 'twist_class_level': 440, 'twisting_char_label': '11.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 49149062
{'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 342273571713721808, 'source_is_minimal': False, 'source_label': '9680.2.a.cy.1.6', 'source_level': 9680, 'target_conrey_index': 801, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40535145458959216, 'target_is_minimal': False, 'target_label': '880.2.bo.j.801.1', 'target_level': 880, 'twist_class_label': '440.2.y.b.361.3', 'twist_class_level': 440, 'twisting_char_label': '11.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 49149063
{'conductor': 11, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 342273571713721808, 'source_is_minimal': False, 'source_label': '9680.2.a.cy.1.6', 'source_level': 9680, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 337769972086351312, 'target_is_minimal': False, 'target_label': '9680.2.a.cx.1.6', 'target_level': 9680, 'twist_class_label': '440.2.y.b.361.3', 'twist_class_level': 440, 'twisting_char_label': '11.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 49149064
{'conductor': 44, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 342273571713721808, 'source_is_minimal': False, 'source_label': '9680.2.a.cy.1.6', 'source_level': 9680, 'target_conrey_index': 401, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4505248928367032, 'target_is_minimal': True, 'target_label': '440.2.y.b.401.3', 'target_level': 440, 'twist_class_label': '440.2.y.b.361.3', 'twist_class_level': 440, 'twisting_char_label': '44.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 49149065
{'conductor': 44, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 342273571713721808, 'source_is_minimal': False, 'source_label': '9680.2.a.cy.1.6', 'source_level': 9680, 'target_conrey_index': 361, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4505248928367032, 'target_is_minimal': True, 'target_label': '440.2.y.b.361.3', 'target_level': 440, 'twist_class_label': '440.2.y.b.361.3', 'twist_class_level': 440, 'twisting_char_label': '44.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 49149066
{'conductor': 44, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 342273571713721808, 'source_is_minimal': False, 'source_label': '9680.2.a.cy.1.6', 'source_level': 9680, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 139611588482044648, 'target_is_minimal': False, 'target_label': '4840.2.a.bf.1.1', 'target_level': 4840, 'twist_class_label': '440.2.y.b.361.3', 'twist_class_level': 440, 'twisting_char_label': '44.43', 'twisting_conrey_index': 43, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 5095875
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 342273571713721808, 'p': 2}
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id: 5095876
{'charpoly_factorization': [[[20, 50, 21, -23, -12, 2, 1], 1]], 'hecke_orbit_code': 342273571713721808, 'p': 3}
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id: 5095877
{'charpoly_factorization': [[[1, 1], 6]], 'hecke_orbit_code': 342273571713721808, 'p': 5}
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id: 5095878
{'charpoly_factorization': [[[11, -64, 15, 61, -7, -6, 1], 1]], 'hecke_orbit_code': 342273571713721808, 'p': 7}
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id: 5095879
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 342273571713721808, 'p': 11}
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id: 5095880
{'charpoly_factorization': [[[-151, -738, 177, 141, -25, -6, 1], 1]], 'hecke_orbit_code': 342273571713721808, 'p': 13}
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id: 5095881
{'charpoly_factorization': [[[-484, 1078, -245, -216, 6, 11, 1], 1]], 'hecke_orbit_code': 342273571713721808, 'p': 17}
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id: 5095882
{'charpoly_factorization': [[[55, 160, -236, -127, 15, 11, 1], 1]], 'hecke_orbit_code': 342273571713721808, 'p': 19}
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id: 5095883
{'charpoly_factorization': [[[9505, 2815, -2431, -569, 50, 18, 1], 1]], 'hecke_orbit_code': 342273571713721808, 'p': 23}
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id: 5095884
{'charpoly_factorization': [[[-36, 150, 203, 19, -36, -6, 1], 1]], 'hecke_orbit_code': 342273571713721808, 'p': 29}
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id: 5095885
{'charpoly_factorization': [[[2980, -4190, 1359, 93, -75, 1, 1], 1]], 'hecke_orbit_code': 342273571713721808, 'p': 31}
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id: 5095886
{'charpoly_factorization': [[[-14821, -4283, 1931, 337, -90, -4, 1], 1]], 'hecke_orbit_code': 342273571713721808, 'p': 37}
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id: 5095887
{'charpoly_factorization': [[[-37441, -21515, 8133, 591, -176, -4, 1], 1]], 'hecke_orbit_code': 342273571713721808, 'p': 41}
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id: 5095888
{'charpoly_factorization': [[[75284, -44018, 5033, 905, -163, -3, 1], 1]], 'hecke_orbit_code': 342273571713721808, 'p': 43}
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id: 5095889
{'charpoly_factorization': [[[995, 1260, -341, -503, -5, 14, 1], 1]], 'hecke_orbit_code': 342273571713721808, 'p': 47}
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id: 5095890
{'charpoly_factorization': [[[-225, 390, -169, -51, 57, -14, 1], 1]], 'hecke_orbit_code': 342273571713721808, 'p': 53}
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id: 5095891
{'charpoly_factorization': [[[-319, -2510, 5363, -257, -219, 2, 1], 1]], 'hecke_orbit_code': 342273571713721808, 'p': 59}
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id: 5095892
{'charpoly_factorization': [[[70256, -73784, 9043, 1530, -237, -4, 1], 1]], 'hecke_orbit_code': 342273571713721808, 'p': 61}
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id: 5095893
{'charpoly_factorization': [[[-19900, 10750, 1745, -690, -66, 11, 1], 1]], 'hecke_orbit_code': 342273571713721808, 'p': 67}
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id: 5095894
{'charpoly_factorization': [[[-64476, -1602, 7705, -458, -158, 7, 1], 1]], 'hecke_orbit_code': 342273571713721808, 'p': 71}
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id: 5095895
{'charpoly_factorization': [[[3244, 378, -2663, 1024, -80, -9, 1], 1]], 'hecke_orbit_code': 342273571713721808, 'p': 73}
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id: 5095896
{'charpoly_factorization': [[[14864, 17220, -15327, 489, 344, -36, 1], 1]], 'hecke_orbit_code': 342273571713721808, 'p': 79}
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id: 5095897
{'charpoly_factorization': [[[-339676, -149518, -12541, 3161, 679, 45, 1], 1]], 'hecke_orbit_code': 342273571713721808, 'p': 83}
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id: 5095898
{'charpoly_factorization': [[[179771, 184407, 37575, -454, -419, -1, 1], 1]], 'hecke_orbit_code': 342273571713721808, 'p': 89}
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id: 5095899
{'charpoly_factorization': [[[1270064, -429280, -6295, 7956, -330, -20, 1], 1]], 'hecke_orbit_code': 342273571713721808, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 77, 'label': '9680.2.a.cy', 'level': 9680, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 72441217
{'hecke_orbit_code': 342273571713721808, 'n': 1, 'trace_an': 6}
-
id: 72441218
{'hecke_orbit_code': 342273571713721808, 'n': 2, 'trace_an': 0}
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id: 72441219
{'hecke_orbit_code': 342273571713721808, 'n': 3, 'trace_an': -2}
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id: 72441220
{'hecke_orbit_code': 342273571713721808, 'n': 4, 'trace_an': 0}
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id: 72441221
{'hecke_orbit_code': 342273571713721808, 'n': 5, 'trace_an': -6}
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id: 72441222
{'hecke_orbit_code': 342273571713721808, 'n': 6, 'trace_an': 0}
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id: 72441223
{'hecke_orbit_code': 342273571713721808, 'n': 7, 'trace_an': 6}
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id: 72441224
{'hecke_orbit_code': 342273571713721808, 'n': 8, 'trace_an': 0}
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id: 72441225
{'hecke_orbit_code': 342273571713721808, 'n': 9, 'trace_an': 10}
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id: 72441226
{'hecke_orbit_code': 342273571713721808, 'n': 10, 'trace_an': 0}
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id: 72441227
{'hecke_orbit_code': 342273571713721808, 'n': 11, 'trace_an': 0}
-
id: 72441228
{'hecke_orbit_code': 342273571713721808, 'n': 12, 'trace_an': 0}
-
id: 72441229
{'hecke_orbit_code': 342273571713721808, 'n': 13, 'trace_an': 6}
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id: 72441230
{'hecke_orbit_code': 342273571713721808, 'n': 14, 'trace_an': 0}
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id: 72441231
{'hecke_orbit_code': 342273571713721808, 'n': 15, 'trace_an': 2}
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