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{'Nk2': 34200, 'analytic_conductor': 68.27209372819473, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, 1], [5, 1], [19, 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': [8550, 1, [1901, 1027, 1351], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 3, 'field_disc': 788, 'field_disc_factorization': [[2, 2], [197, 1]], 'field_poly': [-3, -7, -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': [[7, [10, -6, -2, 1]], [11, [-27, -5, 5, 1]], [13, [6, -8, -4, 1]], [17, [-10, -6, 2, 1]], [23, [81, -45, -1, 1]], [53, [117, -73, 5, 1]]], 'hecke_orbit': 60, 'hecke_orbit_code': 265712378048422246, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '8550.2.a.ch', 'level': 8550, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 19], 'level_radical': 570, 'minimal_twist': '8550.2.a.cc', 'nf_label': '3.3.788.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{4}+(1-\\beta _{1})q^{7}-q^{8}+(-1+\\cdots)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8550.2.a', 'trace_display': [-3, 0, 0, 2], 'trace_hash': 809689767862700887, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.052', 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mf_hecke_nf • Show schema
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[-40, -8, -8], [-24, 38, 24], [-39, 9, 25], [-38, 13, -13], [-24, 34, 2], [13, 30, 8]], 'char_orbit_index': 1, 'field_poly': [-3, -7, -1, 1], 'hecke_orbit_code': 265712378048422246, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0], [0, 1, 0], [4, 2, 1]], 'hecke_ring_numerators': [[1, 0, 0], [0, 1, 0], [-4, -2, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 3, 'label': '8550.2.a.ch', 'level': 8550, 'maxp': 3593, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [5, -1], [19, -1]], 9, 4], [[[2, -1], [3, 1], [5, 1], [19, -1]], 6, 3], [[[2, -1], [3, 1], [5, 1], [19, 1]], 7, 4], [[[2, 1], [3, 1], [5, -1], [19, -1]], 9, 2], [[[2, 1], [3, -1], [5, -1], [19, 1]], 10, 6], [[[2, 1], [3, 1], [5, -1], [19, 1]], 7, 2], [[[2, -1], [3, 1], [5, -1], [19, 1]], 7, 2], [[[2, 1], [3, 1], [5, 1], [19, 1]], 7, 4], [[[2, -1], [3, 1], [5, -1], [19, -1]], 9, 2], [[[2, 1], [3, 1], [5, 1], [19, -1]], 6, 3], [[[2, 1], [3, -1], [5, -1], [19, -1]], 12, 5], [[[2, 1], [3, -1], [5, 1], [19, -1]], 8, 7], [[[2, -1], [3, -1], [5, 1], [19, -1]], 13, 10], [[[2, 1], [3, -1], [5, 1], [19, 1]], 12, 8], [[[2, -1], [3, -1], [5, -1], [19, 1]], 13, 7], [[[2, -1], [3, -1], [5, 1], [19, 1]], 8, 7]], 'ALdims': [7, 6, 7, 9, 12, 8, 10, 12, 7, 6, 7, 9, 8, 13, 13, 9], 'Nk2': 34200, 'analytic_conductor': 68.27209372819473, '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': [8550, 1, [1901, 1027, 1351], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1753, 'dim': 143, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 17, 23, 53], 'hecke_orbit_code': 33562982, '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, 1, 1, 1, 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, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 6, 6], 'label': '8550.2.a', 'level': 8550, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 19], 'level_radical': 570, 'mf_dim': 1848, 'mf_new_dim': 143, 'num_forms': 76, 'plus_dim': 64, 'prim_orbit_index': 1, 'relative_dim': 143, 'sturm_bound': 3600, 'trace_bound': 23, 'trace_display': [1, 0, 0, -2], 'traces': [143, 1, 0, 143, 0, 0, -2, 1, 0, 0, -12, 0, -2, -4, 0, 143, 4, 0, 1, 0, 0, -4, 6, 0, 0, -12, 0, -2, -18, 0, 12, 1, 0, -22, 0, 0, 34, 3, 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-482, 0, 0, 184, 0, -92, -800, 0, 198, 416, 0, -76, 0, 0, -548, 20, 0, 0, 454, 0, 64, -674, 0, -92, -298, 0, -298, 0, 0, 202, -640, 0, 0, 508, 0, 64, 416, 0, -28, 48, 0, -172, 0, 0, -642, -252, 0, 0, -574, 0, 574, -4, 0, 488, 256, 0, -636, 0, 0, 50, -46, 0, 0, -92, 0, 164, 84, 0, -120], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1396208
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 60, 'source_is_minimal': True, 'source_label': '8550.2.a.ch', 'source_level': 8550, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 55, 'target_is_minimal': True, 'target_label': '8550.2.a.cc', 'target_level': 8550, 'twist_class_label': '8550.2.a.cc', 'twist_class_level': 8550, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1396209
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 60, 'source_is_minimal': True, 'source_label': '8550.2.a.ch', 'source_level': 8550, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 60, 'target_is_minimal': True, 'target_label': '8550.2.a.ch', 'target_level': 8550, 'twist_class_label': '8550.2.a.cc', 'twist_class_level': 8550, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1396210
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 60, 'source_is_minimal': True, 'source_label': '8550.2.a.ch', 'source_level': 8550, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 65, 'target_is_minimal': True, 'target_label': '8550.2.a.cm', 'target_level': 8550, 'twist_class_label': '8550.2.a.cc', 'twist_class_level': 8550, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1396211
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 60, 'source_is_minimal': True, 'source_label': '8550.2.a.ch', 'source_level': 8550, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 72, 'target_is_minimal': True, 'target_label': '8550.2.a.ct', 'target_level': 8550, 'twist_class_label': '8550.2.a.cc', 'twist_class_level': 8550, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4786525
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 265712378048422246, 'p': 2}
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id: 4786526
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 265712378048422246, 'p': 3}
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id: 4786527
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 265712378048422246, 'p': 5}
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id: 4786528
{'charpoly_factorization': [[[10, -6, -2, 1], 1]], 'hecke_orbit_code': 265712378048422246, 'p': 7}
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id: 4786529
{'charpoly_factorization': [[[-27, -5, 5, 1], 1]], 'hecke_orbit_code': 265712378048422246, 'p': 11}
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id: 4786530
{'charpoly_factorization': [[[6, -8, -4, 1], 1]], 'hecke_orbit_code': 265712378048422246, 'p': 13}
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id: 4786531
{'charpoly_factorization': [[[-10, -6, 2, 1], 1]], 'hecke_orbit_code': 265712378048422246, 'p': 17}
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id: 4786532
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 265712378048422246, 'p': 19}
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id: 4786533
{'charpoly_factorization': [[[81, -45, -1, 1], 1]], 'hecke_orbit_code': 265712378048422246, 'p': 23}
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id: 4786534
{'charpoly_factorization': [[[-197, -43, 5, 1], 1]], 'hecke_orbit_code': 265712378048422246, 'p': 29}
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id: 4786535
{'charpoly_factorization': [[[1, -21, -5, 1], 1]], 'hecke_orbit_code': 265712378048422246, 'p': 31}
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id: 4786536
{'charpoly_factorization': [[[144, -48, -4, 1], 1]], 'hecke_orbit_code': 265712378048422246, 'p': 37}
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id: 4786537
{'charpoly_factorization': [[[4, 24, 10, 1], 1]], 'hecke_orbit_code': 265712378048422246, 'p': 41}
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id: 4786538
{'charpoly_factorization': [[[-162, -100, -2, 1], 1]], 'hecke_orbit_code': 265712378048422246, 'p': 43}
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id: 4786539
{'charpoly_factorization': [[[204, -88, 4, 1], 1]], 'hecke_orbit_code': 265712378048422246, 'p': 47}
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id: 4786540
{'charpoly_factorization': [[[117, -73, 5, 1], 1]], 'hecke_orbit_code': 265712378048422246, 'p': 53}
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id: 4786541
{'charpoly_factorization': [[[-50, 28, 12, 1], 1]], 'hecke_orbit_code': 265712378048422246, 'p': 59}
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id: 4786542
{'charpoly_factorization': [[[275, -81, -1, 1], 1]], 'hecke_orbit_code': 265712378048422246, 'p': 61}
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id: 4786543
{'charpoly_factorization': [[[845, -143, -9, 1], 1]], 'hecke_orbit_code': 265712378048422246, 'p': 67}
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id: 4786544
{'charpoly_factorization': [[[-354, 2, 16, 1], 1]], 'hecke_orbit_code': 265712378048422246, 'p': 71}
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id: 4786545
{'charpoly_factorization': [[[243, -9, -15, 1], 1]], 'hecke_orbit_code': 265712378048422246, 'p': 73}
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id: 4786546
{'charpoly_factorization': [[[-709, -101, 9, 1], 1]], 'hecke_orbit_code': 265712378048422246, 'p': 79}
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id: 4786547
{'charpoly_factorization': [[[127, -35, -3, 1], 1]], 'hecke_orbit_code': 265712378048422246, 'p': 83}
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id: 4786548
{'charpoly_factorization': [[[-277, -57, 9, 1], 1]], 'hecke_orbit_code': 265712378048422246, 'p': 89}
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id: 4786549
{'charpoly_factorization': [[[-270, -54, 6, 1], 1]], 'hecke_orbit_code': 265712378048422246, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 60, 'label': '8550.2.a.ch', 'level': 8550, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 279357000
{'hecke_orbit_code': 265712378048422246, 'n': 1, 'trace_an': 3}
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id: 279357001
{'hecke_orbit_code': 265712378048422246, 'n': 2, 'trace_an': -3}
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id: 279357002
{'hecke_orbit_code': 265712378048422246, 'n': 3, 'trace_an': 0}
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id: 279357003
{'hecke_orbit_code': 265712378048422246, 'n': 4, 'trace_an': 3}
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id: 279357004
{'hecke_orbit_code': 265712378048422246, 'n': 5, 'trace_an': 0}
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id: 279357005
{'hecke_orbit_code': 265712378048422246, 'n': 6, 'trace_an': 0}
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id: 279357006
{'hecke_orbit_code': 265712378048422246, 'n': 7, 'trace_an': 2}
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id: 279357007
{'hecke_orbit_code': 265712378048422246, 'n': 8, 'trace_an': -3}
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id: 279357008
{'hecke_orbit_code': 265712378048422246, 'n': 9, 'trace_an': 0}
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id: 279357009
{'hecke_orbit_code': 265712378048422246, 'n': 10, 'trace_an': 0}
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id: 279357010
{'hecke_orbit_code': 265712378048422246, 'n': 11, 'trace_an': -5}
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id: 279357011
{'hecke_orbit_code': 265712378048422246, 'n': 12, 'trace_an': 0}
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id: 279357012
{'hecke_orbit_code': 265712378048422246, 'n': 13, 'trace_an': 4}
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id: 279357013
{'hecke_orbit_code': 265712378048422246, 'n': 14, 'trace_an': -2}
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id: 279357014
{'hecke_orbit_code': 265712378048422246, 'n': 15, 'trace_an': 0}
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id: 279357015
{'hecke_orbit_code': 265712378048422246, 'n': 16, 'trace_an': 3}
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id: 279357016
{'hecke_orbit_code': 265712378048422246, 'n': 17, 'trace_an': -2}
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id: 279357017
{'hecke_orbit_code': 265712378048422246, 'n': 18, 'trace_an': 0}
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id: 279357018
{'hecke_orbit_code': 265712378048422246, 'n': 19, 'trace_an': -3}
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id: 279357019
{'hecke_orbit_code': 265712378048422246, 'n': 20, 'trace_an': 0}
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id: 279357020
{'hecke_orbit_code': 265712378048422246, 'n': 21, 'trace_an': 0}
-
id: 279357021
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