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{'Nk2': 38720, 'analytic_conductor': 77.2951891565994, 'analytic_rank': 1, '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': 2, 'field_disc': 12, 'field_disc_factorization': [[2, 2], [3, 1]], 'field_poly': [-3, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 12, 'fricke_eigenval': 1, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [-1, 1]], [7, [-3, 0, 1]], [13, [0, 1]], [17, [0, 1]]], 'hecke_orbit': 48, 'hecke_orbit_code': 211669182519977424, 'hecke_ring_generator_nbound': 7, '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, 11, 2, -1, 2, 0]], '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.bv', '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': '2420.2.a.h', 'nf_label': '2.2.12.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+q^{5}-\\beta q^{7}-2q^{9}+q^{15}+4\\beta q^{19}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '9680.2.a', 'trace_display': [0, 2, 2, 0], 'trace_hash': 75415726998568511, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.013', 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [1, 0], [0, 0], [1, 0], [0, 0], [0, -1], [0, 0], [-2, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [1, 0], [0, 0], [0, 0], [0, 0], [0, 4], [0, 0], [0, -1], [0, 0], [0, 0], [0, 0], [1, 0], [0, 0], [-5, 0], [0, 0], [0, 0], [0, 0], [2, 0], [0, 0], [0, 0], [0, 0], [0, -1], [0, 0], [-8, 0], [0, 0], [0, 0], [0, 0], [0, -3], [0, 0], [0, -3], [0, 0], [-2, 0], [0, 0], [3, 0], [0, 0], [-4, 0], [0, 0], [0, 0], [0, 0], [-12, 0], [0, 0], [0, 0], [0, 0], [0, 4], [0, 0], [6, 0], [0, 0], [0, 7], [0, 0], [0, 2], [0, 0], [0, 0], [0, 0], [-7, 0], [0, 0], [0, 0], [0, 0], [-6, 0], [0, 0], [0, -4], [0, 0], [1, 0], [0, 0], [0, 0], [0, 0], [0, -2], [0, 0], [1, 0], [0, 0], [0, -6], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-9, 0], [0, 0], [0, 0], [0, 0], [2, 0], [0, 0], [0, 4], [0, 0], [-4, 0], [0, 0], [0, 0], [0, 0]], 'ap': [[0, 0], [1, 0], [1, 0], [0, -1], [0, 0], [0, 0], [0, 0], [0, 4], [0, 0], [0, 0], [2, 0], [-8, 0], [0, -3], [0, -3], [3, 0], [-12, 0], [6, 0], [0, 7], [-7, 0], [-6, 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'field_poly': [-3, 0, 1], 'hecke_orbit_code': 211669182519977424, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '9680.2.a.bv', 'level': 9680, 'maxp': 3169, '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': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 11], 'level_radical': 110, 'mf_dim': 1656, 'mf_new_dim': 218, 'num_forms': 84, 'plus_dim': 98, 'prim_orbit_index': 1, 'relative_dim': 218, 'sturm_bound': 3168, 'trace_bound': 17, 'trace_display': [0, 2, 0, 6], 'traces': [218, 0, 2, 0, 0, 0, 6, 0, 222, 0, 0, 0, 0, 0, -2, 0, 4, 0, 0, 0, -4, 0, -2, 0, 218, 0, -4, 0, -12, 0, 12, 0, 0, 0, -6, 0, -8, 0, -20, 0, 0, 0, 14, 0, -4, 0, -22, 0, 230, 0, -36, 0, 0, 0, 0, 0, 8, 0, -16, 0, 16, 0, 6, 0, 4, 0, 30, 0, 20, 0, 12, 0, 20, 0, 2, 0, 0, 0, 8, 0, 230, 0, -26, 0, 8, 0, -36, 0, 20, 0, 52, 0, 40, 0, 8, 0, 28, 0, 0, 0, 28, 0, 30, 0, 4, 0, -46, 0, 0, 0, -36, 0, -12, 0, 2, 0, 40, 0, -36, 0, 0, 0, -36, 0, 0, 0, 22, 0, 4, 0, 60, 0, 24, 0, -20, 0, -28, 0, -56, 0, 44, 0, 0, 0, 8, 0, 2, 0, 0, 0, 52, 0, -36, 0, 20, 0, 8, 0, 52, 0, -36, 0, 74, 0, 0, 0, 14, 0, 222, 0, 32, 0, 24, 0, 6, 0, -56, 0, 56, 0, 12, 0, 52, 0, -4, 0, 0, 0, 40, 0, 4, 0, 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0, 32, 0, 192, 0, -32, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1442943
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 48, 'source_is_minimal': False, 'source_label': '9680.2.a.bv', 'source_level': 9680, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': True, 'target_label': '2420.2.a.h', 'target_level': 2420, 'twist_class_label': '2420.2.a.h', 'twist_class_level': 2420, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1442944
{'conductor': 44, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 48, 'source_is_minimal': False, 'source_label': '9680.2.a.bv', 'source_level': 9680, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': True, 'target_label': '2420.2.a.h', 'target_level': 2420, 'twist_class_label': '2420.2.a.h', 'twist_class_level': 2420, 'twisting_char_label': '44.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1442945
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 48, 'source_is_minimal': False, 'source_label': '9680.2.a.bv', 'source_level': 9680, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 48, 'target_is_minimal': False, 'target_label': '9680.2.a.bv', 'target_level': 9680, 'twist_class_label': '2420.2.a.h', 'twist_class_level': 2420, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1442946
{'conductor': 11, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 48, 'source_is_minimal': False, 'source_label': '9680.2.a.bv', 'source_level': 9680, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 48, 'target_is_minimal': False, 'target_label': '9680.2.a.bv', 'target_level': 9680, 'twist_class_label': '2420.2.a.h', 'twist_class_level': 2420, 'twisting_char_label': '11.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 5007250
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 211669182519977424, 'p': 2}
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id: 5007251
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 211669182519977424, 'p': 3}
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id: 5007252
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 211669182519977424, 'p': 5}
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id: 5007253
{'charpoly_factorization': [[[-3, 0, 1], 1]], 'hecke_orbit_code': 211669182519977424, 'p': 7}
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id: 5007254
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 211669182519977424, 'p': 11}
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id: 5007255
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 211669182519977424, 'p': 13}
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id: 5007256
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 211669182519977424, 'p': 17}
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id: 5007257
{'charpoly_factorization': [[[-48, 0, 1], 1]], 'hecke_orbit_code': 211669182519977424, 'p': 19}
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id: 5007258
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 211669182519977424, 'p': 23}
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id: 5007259
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 211669182519977424, 'p': 29}
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id: 5007260
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 211669182519977424, 'p': 31}
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id: 5007261
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 211669182519977424, 'p': 37}
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id: 5007262
{'charpoly_factorization': [[[-27, 0, 1], 1]], 'hecke_orbit_code': 211669182519977424, 'p': 41}
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id: 5007263
{'charpoly_factorization': [[[-27, 0, 1], 1]], 'hecke_orbit_code': 211669182519977424, 'p': 43}
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id: 5007264
{'charpoly_factorization': [[[-3, 1], 2]], 'hecke_orbit_code': 211669182519977424, 'p': 47}
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id: 5007265
{'charpoly_factorization': [[[12, 1], 2]], 'hecke_orbit_code': 211669182519977424, 'p': 53}
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id: 5007266
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 211669182519977424, 'p': 59}
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id: 5007267
{'charpoly_factorization': [[[-147, 0, 1], 1]], 'hecke_orbit_code': 211669182519977424, 'p': 61}
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id: 5007268
{'charpoly_factorization': [[[7, 1], 2]], 'hecke_orbit_code': 211669182519977424, 'p': 67}
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id: 5007269
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 211669182519977424, 'p': 71}
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id: 5007270
{'charpoly_factorization': [[[-48, 0, 1], 1]], 'hecke_orbit_code': 211669182519977424, 'p': 73}
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id: 5007271
{'charpoly_factorization': [[[-12, 0, 1], 1]], 'hecke_orbit_code': 211669182519977424, 'p': 79}
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id: 5007272
{'charpoly_factorization': [[[-108, 0, 1], 1]], 'hecke_orbit_code': 211669182519977424, 'p': 83}
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id: 5007273
{'charpoly_factorization': [[[9, 1], 2]], 'hecke_orbit_code': 211669182519977424, 'p': 89}
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id: 5007274
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 211669182519977424, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 48, 'label': '9680.2.a.bv', 'level': 9680, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 71408959
{'hecke_orbit_code': 211669182519977424, 'n': 1, 'trace_an': 2}
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id: 71408960
{'hecke_orbit_code': 211669182519977424, 'n': 2, 'trace_an': 0}
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id: 71408961
{'hecke_orbit_code': 211669182519977424, 'n': 3, 'trace_an': 2}
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id: 71408962
{'hecke_orbit_code': 211669182519977424, 'n': 4, 'trace_an': 0}
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id: 71408963
{'hecke_orbit_code': 211669182519977424, 'n': 5, 'trace_an': 2}
-
id: 71408964
{'hecke_orbit_code': 211669182519977424, 'n': 6, 'trace_an': 0}
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id: 71408965
{'hecke_orbit_code': 211669182519977424, 'n': 7, 'trace_an': 0}
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id: 71408966
{'hecke_orbit_code': 211669182519977424, 'n': 8, 'trace_an': 0}
-
id: 71408967
{'hecke_orbit_code': 211669182519977424, 'n': 9, 'trace_an': -4}
-
id: 71408968
{'hecke_orbit_code': 211669182519977424, 'n': 10, 'trace_an': 0}
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id: 71408969
{'hecke_orbit_code': 211669182519977424, 'n': 11, 'trace_an': 0}
-
id: 71408970
{'hecke_orbit_code': 211669182519977424, 'n': 12, 'trace_an': 0}
-
id: 71408971
{'hecke_orbit_code': 211669182519977424, 'n': 13, 'trace_an': 0}
-
id: 71408972
{'hecke_orbit_code': 211669182519977424, 'n': 14, 'trace_an': 0}
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id: 71408973
{'hecke_orbit_code': 211669182519977424, 'n': 15, 'trace_an': 2}
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id: 71408974
{'hecke_orbit_code': 211669182519977424, 'n': 16, 'trace_an': 0}
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id: 71408975
{'hecke_orbit_code': 211669182519977424, 'n': 17, 'trace_an': 0}
-
id: 71408976
{'hecke_orbit_code': 211669182519977424, 'n': 18, 'trace_an': 0}
-
id: 71408977
{'hecke_orbit_code': 211669182519977424, 'n': 19, 'trace_an': 0}
-
id: 71408978
{'hecke_orbit_code': 211669182519977424, 'n': 20, 'trace_an': 0}
-
id: 71408979
{'hecke_orbit_code': 211669182519977424, 'n': 21, 'trace_an': 0}
-
id: 71408980
{'hecke_orbit_code': 211669182519977424, 'n': 22, 'trace_an': 0}
-
id: 71408981
{'hecke_orbit_code': 211669182519977424, 'n': 23, 'trace_an': 0}
-
id: 71408982
{'hecke_orbit_code': 211669182519977424, 'n': 24, 'trace_an': 0}
-
id: 71408983
{'hecke_orbit_code': 211669182519977424, 'n': 25, 'trace_an': 2}
-
id: 71408984
{'hecke_orbit_code': 211669182519977424, 'n': 26, 'trace_an': 0}
-
id: 71408985
{'hecke_orbit_code': 211669182519977424, 'n': 27, 'trace_an': -10}
-
id: 71408986
{'hecke_orbit_code': 211669182519977424, 'n': 28, 'trace_an': 0}
-
id: 71408987
{'hecke_orbit_code': 211669182519977424, 'n': 29, 'trace_an': 0}
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