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mf_newforms • Show schema
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{'Nk2': 4312, 'analytic_conductor': 8.607873337894025, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [7, 1], [11, 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': [1078, 1, [199, 981], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 8, 'field_disc_factorization': [[2, 3]], 'field_poly': [-2, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 8, 'fricke_eigenval': -1, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [-2, 0, 1]], [5, [-18, 0, 1]], [13, [0, 1]]], 'hecke_orbit': 21, 'hecke_orbit_code': 90071992580965430, 'hecke_ring_generator_nbound': 3, '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, 7, 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': True, 'label': '1078.2.a.u', 'level': 1078, '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, 7, 11], 'level_radical': 154, 'minimal_twist': '1078.2.a.u', 'nf_label': '2.2.8.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+\\beta q^{3}+q^{4}+3\\beta q^{5}+\\beta q^{6}+\\cdots', 'related_objects': ['ModularForm/GL2/ImaginaryQuadratic/2.0.7.1/23716.5/n', 'EllipticCurve/2.0.7.1/23716.5/n'], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1078.2.a', 'trace_display': [2, 0, 0, 0], 'trace_hash': 2001332456158539117, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.008', 'prec': 17}, 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-192, 0, 0, 0, 100, -52, 0, 96], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1, 0], [1, 0], [0, 1], [1, 0], [0, 3], [0, 1], [0, 0], [1, 0], [-1, 0], [0, 3], [-1, 0], [0, 1], [0, 0], [0, 0], [6, 0], [1, 0], [0, -4], [-1, 0], [0, 0], [0, 3], [0, 0], [-1, 0], [6, 0], [0, 1], [13, 0], [0, 0], [0, -4], [0, 0], [2, 0], [6, 0], [0, -1], [1, 0], [0, -1], [0, -4], [0, 0], [-1, 0], [-10, 0], [0, 0], [0, 0], [0, 3], [0, -8], [0, 0], [-8, 0], [-1, 0], [0, -3], [6, 0], [0, 3], [0, 1], [0, 0], [13, 0], [-8, 0], [0, 0], [8, 0], [0, -4], [0, -3], [0, 0], [0, 0], [2, 0], [0, 1], [6, 0], [0, -2], [0, -1], [0, 0], [1, 0], [0, 0], [0, -1], [2, 0], [0, -4], [0, 6], [0, 0], [-2, 0], [-1, 0], [0, 6], [-10, 0], [0, 13], [0, 0], [0, 0], [0, 0], [16, 0], [0, 3], [-5, 0], [0, -8], [0, -12], [0, 0], [-24, 0], [-8, 0], [0, 2], [-1, 0], [0, -5], [0, -3], [0, 0], [6, 0], [-2, 0], [0, 3], [0, 0], [0, 1], [0, -7], [0, 0], [1, 0], [13, 0]], 'ap': [[1, 0], [0, 1], [0, 3], [0, 0], [-1, 0], [0, 0], [0, -4], [0, 0], [6, 0], [2, 0], [0, -1], [-10, 0], [0, -8], [-8, 0], [0, 3], [8, 0], [0, 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'hecke_ring_rank': 2, 'label': '1078.2.a.u', 'level': 1078, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [4, 4, 5, 5, 6, 2, 3, 6], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [3, 4, 4, 4, 4, 4, 4, 4], 'ALdims_old': [11, 18, 19, 11, 12, 20, 17, 10], 'Nk2': 4312, 'analytic_conductor': 8.607873337894025, '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': [1078, 1, [199, 981], [1, 1]], 'conrey_index': 1, 'cusp_dim': 153, 'dim': 35, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 13], 'hecke_orbit_code': 33555510, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'label': '1078.2.a', 'level': 1078, '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, 7, 11], 'level_radical': 154, 'mf_dim': 184, 'mf_new_dim': 35, 'num_forms': 24, 'plus_dim': 14, 'prim_orbit_index': 1, 'relative_dim': 35, 'sturm_bound': 336, 'trace_bound': 23, 'trace_display': [-1, 0, -2, 0], 'traces': [35, -1, 0, 35, -2, 4, 0, -1, 39, -6, -1, 0, 2, 0, 16, 35, 6, 3, 12, -2, 0, -1, 8, 4, 37, -2, 24, 0, 10, 24, 16, -1, 0, -2, 0, 39, -54, 8, -32, -6, -18, 0, -20, -1, -34, 16, -16, 0, 0, -23, 0, 2, -22, 16, -6, 0, -40, -30, -8, 16, 18, -8, 0, 35, -20, 4, -28, 6, 0, 0, 16, 3, -2, -22, 24, 12, 0, 24, -56, -2, 43, -10, 4, 0, -36, 12, -24, -1, -18, -6, 0, 8, -8, 8, 0, 4, -18, 0, -13, 37, -30, -16, -8, -2, 0, -6, 68, 24, 2, 6, -32, 0, -26, 16, 16, 10, 2, -12, 0, 24, 35, -26, 48, 16, 36, 0, 8, -1, 16, -44, -28, 0, 0, 28, 0, -2, -58, 16, 12, 0, -80, 8, 10, 39, 12, 14, 0, -54, -46, 20, -24, 8, 46, 0, -16, -32, 6, 48, 16, -6, 0, -9, -28, -18, -72, 0, -8, 0, 45, 12, -12, -20, 26, -16, 0, -1, -32, -10, 44, -34, -26, 0, -8, 16, 100, -8, 2, -16, 0, 64, -48, 0, -58, -34, 24, 0, 10, 3, -8, -23, -80, 6, 0, 0, -4, 32, 0, 2, 0, 0, 68, -22, -8, 12, -40, 16, 0, -38, -40, -6, 20, -56, -8, 0, 1, 30, 12, 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68, -18, 46, 0, -184, 48, 98, -48, 48, -8, 0, 28, 236, -32, -180, -80, 32, 0, -2, 154, -72, 16, -24, 8, 0, 16, -125, 84, -180, -42, -12, 0, 72, -1, 80, -4, -104, 32, 0, -32, -296, 18, 110, 96, -42, 0, -54, 116, -72, -120, 60, -28, 0, -24, 224, -42, -208, -8, 64, 0, -200, -88, 10, 204, -144, -36], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 638136
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 21, 'source_is_minimal': True, 'source_label': '1078.2.a.u', 'source_level': 1078, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 21, 'target_is_minimal': True, 'target_label': '1078.2.a.u', 'target_level': 1078, 'twist_class_label': '1078.2.a.u', 'twist_class_level': 1078, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 638137
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 21, 'source_is_minimal': True, 'source_label': '1078.2.a.u', 'source_level': 1078, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 21, 'target_is_minimal': True, 'target_label': '1078.2.a.u', 'target_level': 1078, 'twist_class_label': '1078.2.a.u', 'twist_class_level': 1078, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 638138
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 21, 'source_is_minimal': True, 'source_label': '1078.2.a.u', 'source_level': 1078, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '1078.2.e.p', 'target_level': 1078, 'twist_class_label': '1078.2.a.u', 'twist_class_level': 1078, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 638139
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 21, 'source_is_minimal': True, 'source_label': '1078.2.a.u', 'source_level': 1078, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '1078.2.e.p', 'target_level': 1078, 'twist_class_label': '1078.2.a.u', 'twist_class_level': 1078, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 638140
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 21, 'source_is_minimal': True, 'source_label': '1078.2.a.u', 'source_level': 1078, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 45, 'target_is_minimal': False, 'target_label': '8624.2.a.bs', 'target_level': 8624, 'twist_class_label': '1078.2.a.u', 'twist_class_level': 1078, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 638141
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 21, 'source_is_minimal': True, 'source_label': '1078.2.a.u', 'source_level': 1078, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 45, 'target_is_minimal': False, 'target_label': '8624.2.a.bs', 'target_level': 8624, 'twist_class_label': '1078.2.a.u', 'twist_class_level': 1078, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 638142
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 21, 'source_is_minimal': True, 'source_label': '1078.2.a.u', 'source_level': 1078, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 68, 'target_is_minimal': False, 'target_label': '9702.2.a.cp', 'target_level': 9702, 'twist_class_label': '1078.2.a.u', 'twist_class_level': 1078, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 638143
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 21, 'source_is_minimal': True, 'source_label': '1078.2.a.u', 'source_level': 1078, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 68, 'target_is_minimal': False, 'target_label': '9702.2.a.cp', 'target_level': 9702, 'twist_class_label': '1078.2.a.u', 'twist_class_level': 1078, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1658425
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 90071992580965430, 'p': 2}
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id: 1658426
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 90071992580965430, 'p': 3}
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id: 1658427
{'charpoly_factorization': [[[-18, 0, 1], 1]], 'hecke_orbit_code': 90071992580965430, 'p': 5}
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id: 1658428
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 90071992580965430, 'p': 7}
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id: 1658429
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 90071992580965430, 'p': 11}
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id: 1658430
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 90071992580965430, 'p': 13}
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id: 1658431
{'charpoly_factorization': [[[-32, 0, 1], 1]], 'hecke_orbit_code': 90071992580965430, 'p': 17}
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id: 1658432
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 90071992580965430, 'p': 19}
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id: 1658433
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 90071992580965430, 'p': 23}
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id: 1658434
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 90071992580965430, 'p': 29}
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id: 1658435
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 90071992580965430, 'p': 31}
-
id: 1658436
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 90071992580965430, 'p': 37}
-
id: 1658437
{'charpoly_factorization': [[[-128, 0, 1], 1]], 'hecke_orbit_code': 90071992580965430, 'p': 41}
-
id: 1658438
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 90071992580965430, 'p': 43}
-
id: 1658439
{'charpoly_factorization': [[[-18, 0, 1], 1]], 'hecke_orbit_code': 90071992580965430, 'p': 47}
-
id: 1658440
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 90071992580965430, 'p': 53}
-
id: 1658441
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 90071992580965430, 'p': 59}
-
id: 1658442
{'charpoly_factorization': [[[-8, 0, 1], 1]], 'hecke_orbit_code': 90071992580965430, 'p': 61}
-
id: 1658443
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 90071992580965430, 'p': 67}
-
id: 1658444
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 90071992580965430, 'p': 71}
-
id: 1658445
{'charpoly_factorization': [[[-72, 0, 1], 1]], 'hecke_orbit_code': 90071992580965430, 'p': 73}
-
id: 1658446
{'charpoly_factorization': [[[-16, 1], 2]], 'hecke_orbit_code': 90071992580965430, 'p': 79}
-
id: 1658447
{'charpoly_factorization': [[[-288, 0, 1], 1]], 'hecke_orbit_code': 90071992580965430, 'p': 83}
-
id: 1658448
{'charpoly_factorization': [[[-50, 0, 1], 1]], 'hecke_orbit_code': 90071992580965430, 'p': 89}
-
id: 1658449
{'charpoly_factorization': [[[-98, 0, 1], 1]], 'hecke_orbit_code': 90071992580965430, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 21, 'label': '1078.2.a.u', 'level': 1078, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 64193215
{'hecke_orbit_code': 90071992580965430, 'n': 1, 'trace_an': 2}
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id: 64193216
{'hecke_orbit_code': 90071992580965430, 'n': 2, 'trace_an': 2}
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id: 64193217
{'hecke_orbit_code': 90071992580965430, 'n': 3, 'trace_an': 0}
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id: 64193218
{'hecke_orbit_code': 90071992580965430, 'n': 4, 'trace_an': 2}
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id: 64193219
{'hecke_orbit_code': 90071992580965430, 'n': 5, 'trace_an': 0}
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id: 64193220
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