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mf_newforms • Show schema
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{'Nk2': 20016, 'analytic_conductor': 39.957141171448704, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [139, 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': [5004, 1, [2503, 2225, 4033], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 229, 'field_disc_factorization': [[229, 1]], 'field_poly': [-1, -4, 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': [[5, [-2, -5, 2, 1]], [7, [28, -15, -1, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36028797052523404, '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': '5004.2.a.i', 'level': 5004, '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, 3, 139], 'level_radical': 834, 'minimal_twist': '1668.2.a.e', 'nf_label': '3.3.229.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1+\\beta _{1}-\\beta _{2})q^{5}+(2\\beta _{1}-\\beta _{2})q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5004.2.a', 'trace_display': [0, 0, -2, 1], 'trace_hash': 890396859816452178, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.832', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
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[0, 20, -13], [-27, -29, 5], [-1, 21, 2], [-36, 6, 6], [32, 10, 2], [65, 3, 11], [13, 41, -16], [-54, -10, -14], [-11, 17, -39], [30, -24, 0]], 'char_orbit_index': 1, 'field_poly': [-1, -4, 0, 1], 'hecke_orbit_code': 36028797052523404, '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], [3, 0, 1]], 'hecke_ring_numerators': [[1, 0, 0], [0, 1, 0], [-3, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 3, 'label': '5004.2.a.i', 'level': 5004, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [0, 0, 0, 0, 14, 8, 16, 19], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [3, 4, 4, 4, 2, 2, 2, 2], 'ALdims_old': [95, 112, 112, 94, 90, 96, 88, 85], 'Nk2': 20016, 'analytic_conductor': 39.957141171448704, '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': [5004, 1, [2503, 2225, 4033], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 829, 'dim': 57, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 33559436, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 6, 6, 7, 7, 14], 'label': '5004.2.a', 'level': 5004, '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, 3, 139], 'level_radical': 834, 'mf_dim': 852, 'mf_new_dim': 57, 'num_forms': 15, 'plus_dim': 24, 'prim_orbit_index': 1, 'relative_dim': 57, 'sturm_bound': 1680, 'trace_bound': 7, 'trace_display': [0, 0, -2, 4], 'traces': [57, 0, 0, 0, -2, 0, 4, 0, 0, 0, -2, 0, -8, 0, 0, 0, -4, 0, -2, 0, 0, 0, -2, 0, 63, 0, 0, 0, -4, 0, 18, 0, 0, 0, -7, 0, 7, 0, 0, 0, -7, 0, 2, 0, 0, 0, 9, 0, 41, 0, 0, 0, -26, 0, 1, 0, 0, 0, -12, 0, -16, 0, 0, 0, 9, 0, 36, 0, 0, 0, -2, 0, 22, 0, 0, 0, 33, 0, 26, 0, 0, 0, -20, 0, -8, 0, 0, 0, 0, 0, 49, 0, 0, 0, 16, 0, -4, 0, 0, 0, 4, 0, -24, 0, 0, 0, -9, 0, 2, 0, 0, 0, 36, 0, 14, 0, 0, 0, 4, 0, 91, 0, 0, 0, 33, 0, -16, 0, 0, 0, 36, 0, 56, 0, 0, 0, -32, 0, -3, 0, 0, 0, -12, 0, -5, 0, 0, 0, -16, 0, 54, 0, 0, 0, -10, 0, 8, 0, 0, 0, 4, 0, -28, 0, 0, 0, 17, 0, 93, 0, 0, 0, 10, 0, 32, 0, 0, 0, 18, 0, -62, 0, 0, 0, -14, 0, 36, 0, 0, 0, -11, 0, 26, 0, 0, 0, -28, 0, 44, 0, 0, 0, 40, 0, -32, 0, 0, 0, -14, 0, 30, 0, 0, 0, 48, 0, -33, 0, 0, 0, 22, 0, 86, 0, 0, 0, 46, 0, 18, 0, 0, 0, -4, 0, 106, 0, 0, 0, -32, 0, -4, 0, 0, 0, -25, 0, 74, 0, 0, 0, 42, 0, 2, 0, 0, 0, 26, 0, 14, 0, 0, 0, -40, 0, -24, 0, 0, 0, 18, 0, 40, 0, 0, 0, 57, 0, -18, 0, 0, 0, -10, 0, 8, 0, 0, 0, 100, 0, 105, 0, 0, 0, -30, 0, 94, 0, 0, 0, 28, 0, 56, 0, 0, 0, -34, 0, 57, 0, 0, 0, 124, 0, 79, 0, 0, 0, 40, 0, 47, 0, 0, 0, -22, 0, -1, 0, 0, 0, 24, 0, -18, 0, 0, 0, -32, 0, 20, 0, 0, 0, 65, 0, -25, 0, 0, 0, 82, 0, -26, 0, 0, 0, -56, 0, 57, 0, 0, 0, -34, 0, 5, 0, 0, 0, 26, 0, 26, 0, 0, 0, 52, 0, -20, 0, 0, 0, 71, 0, -12, 0, 0, 0, 84, 0, -35, 0, 0, 0, 30, 0, -20, 0, 0, 0, 120, 0, 8, 0, 0, 0, -26, 0, 3, 0, 0, 0, -34, 0, -100, 0, 0, 0, -114, 0, 19, 0, 0, 0, 38, 0, -46, 0, 0, 0, -100, 0, 96, 0, 0, 0, 108, 0, -58, 0, 0, 0, 36, 0, 10, 0, 0, 0, -18, 0, -63, 0, 0, 0, -82, 0, 108, 0, 0, 0, 33, 0, 36, 0, 0, 0, 54, 0, -74, 0, 0, 0, -42, 0, -137, 0, 0, 0, -6, 0, -2, 0, 0, 0, -42, 0, 40, 0, 0, 0, -140, 0, -26, 0, 0, 0, 20, 0, -108, 0, 0, 0, 103, 0, 44, 0, 0, 0, 14, 0, -84, 0, 0, 0, -40, 0, -82, 0, 0, 0, -16, 0, -70, 0, 0, 0, -36, 0, 25, 0, 0, 0, 110, 0, 43, 0, 0, 0, -40, 0, 46, 0, 0, 0, 66, 0, 11, 0, 0, 0, -196, 0, 88, 0, 0, 0, 66, 0, -41, 0, 0, 0, 46, 0, -6, 0, 0, 0, -42, 0, -64, 0, 0, 0, 72, 0, 106, 0, 0, 0, 18, 0, -16, 0, 0, 0, 42, 0, 90, 0, 0, 0, 9, 0, -122, 0, 0, 0, 44, 0, -36, 0, 0, 0, 12, 0, -60, 0, 0, 0, 62, 0, -72, 0, 0, 0, 30, 0, -26, 0, 0, 0, -148, 0, -139, 0, 0, 0, 30, 0, -27, 0, 0, 0, -146, 0, -88, 0, 0, 0, -121, 0, -6, 0, 0, 0, 38, 0, -24, 0, 0, 0, -22, 0, -54, 0, 0, 0, -50, 0, -25, 0, 0, 0, -58, 0, -24, 0, 0, 0, -30, 0, -20, 0, 0, 0, 196, 0, -174, 0, 0, 0, -48, 0, 18, 0, 0, 0, 66, 0, -69, 0, 0, 0, -206, 0, 170, 0, 0, 0, 0, 0, 52, 0, 0, 0, -14, 0, 74, 0, 0, 0, 16, 0, -28, 0, 0, 0, 46, 0, -52, 0, 0, 0, 118, 0, -20, 0, 0, 0, -128, 0, 54, 0, 0, 0, -124, 0, -13, 0, 0, 0, -59, 0, 0, 0, 0, 0, -2, 0, -18, 0, 0, 0, 88, 0, 104, 0, 0, 0, -8, 0, -54, 0, 0, 0, 116, 0, 64, 0, 0, 0, 126, 0, -36, 0, 0, 0, 54, 0, -135, 0, 0, 0, -116, 0, -76, 0, 0, 0, 132, 0, 52, 0, 0, 0, -105, 0, 0, 0, 0, 0, -180, 0, 62, 0, 0, 0, -4, 0, -168, 0, 0, 0, -30, 0, 68, 0, 0, 0, -168, 0, -138, 0, 0, 0, 2, 0, 86, 0, 0, 0, -26, 0, -112, 0, 0, 0, -160, 0, -30, 0, 0, 0, -4, 0, 133, 0, 0, 0, -120, 0, -135, 0, 0, 0, -150, 0, -48, 0, 0, 0, -72, 0, -110, 0, 0, 0, -46, 0, -173, 0, 0, 0, -157, 0, 71, 0, 0, 0, -131, 0, 12, 0, 0, 0, 39, 0, -102, 0, 0, 0, -30, 0, 91, 0, 0, 0, -28, 0, 114, 0, 0, 0, -73, 0, -68, 0, 0, 0, 81, 0, 96, 0, 0, 0, 29, 0, 125, 0, 0, 0, 68, 0, 166, 0, 0, 0, -72, 0, -187, 0, 0, 0, -102, 0, 14, 0, 0, 0, 92, 0, 98, 0, 0, 0, -19, 0, -218, 0, 0, 0, -46, 0, -90, 0, 0, 0, -110, 0, -84, 0, 0, 0, -113, 0, 143, 0, 0, 0, 11, 0, -62, 0, 0, 0, -76, 0, -6, 0, 0, 0, 20, 0, 27, 0, 0, 0, -102, 0, -186, 0, 0, 0, -74, 0, -44, 0, 0, 0, -104, 0, -58, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1237263
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '5004.2.a.i', 'source_level': 5004, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '1668.2.a.e', 'target_level': 1668, 'twist_class_label': '1668.2.a.e', 'twist_class_level': 1668, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1237264
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '5004.2.a.i', 'source_level': 5004, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '5004.2.a.i', 'target_level': 5004, 'twist_class_label': '1668.2.a.e', 'twist_class_level': 1668, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1237265
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '5004.2.a.i', 'source_level': 5004, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 31, 'target_is_minimal': False, 'target_label': '6672.2.a.be', 'target_level': 6672, 'twist_class_label': '1668.2.a.e', 'twist_class_level': 1668, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3770150
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 36028797052523404, 'p': 2}
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id: 3770151
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 36028797052523404, 'p': 3}
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id: 3770152
{'charpoly_factorization': [[[-2, -5, 2, 1], 1]], 'hecke_orbit_code': 36028797052523404, 'p': 5}
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id: 3770153
{'charpoly_factorization': [[[28, -15, -1, 1], 1]], 'hecke_orbit_code': 36028797052523404, 'p': 7}
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id: 3770154
{'charpoly_factorization': [[[14, 27, 10, 1], 1]], 'hecke_orbit_code': 36028797052523404, 'p': 11}
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id: 3770155
{'charpoly_factorization': [[[56, -16, -4, 1], 1]], 'hecke_orbit_code': 36028797052523404, 'p': 13}
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id: 3770156
{'charpoly_factorization': [[[4, 11, 7, 1], 1]], 'hecke_orbit_code': 36028797052523404, 'p': 17}
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id: 3770157
{'charpoly_factorization': [[[4, -11, 2, 1], 1]], 'hecke_orbit_code': 36028797052523404, 'p': 19}
-
id: 3770158
{'charpoly_factorization': [[[16, 21, -10, 1], 1]], 'hecke_orbit_code': 36028797052523404, 'p': 23}
-
id: 3770159
{'charpoly_factorization': [[[128, -48, -2, 1], 1]], 'hecke_orbit_code': 36028797052523404, 'p': 29}
-
id: 3770160
{'charpoly_factorization': [[[-8, -23, -7, 1], 1]], 'hecke_orbit_code': 36028797052523404, 'p': 31}
-
id: 3770161
{'charpoly_factorization': [[[2, 17, -13, 1], 1]], 'hecke_orbit_code': 36028797052523404, 'p': 37}
-
id: 3770162
{'charpoly_factorization': [[[106, -43, 0, 1], 1]], 'hecke_orbit_code': 36028797052523404, 'p': 41}
-
id: 3770163
{'charpoly_factorization': [[[188, -79, -3, 1], 1]], 'hecke_orbit_code': 36028797052523404, 'p': 43}
-
id: 3770164
{'charpoly_factorization': [[[406, 171, 23, 1], 1]], 'hecke_orbit_code': 36028797052523404, 'p': 47}
-
id: 3770165
{'charpoly_factorization': [[[-128, 84, 20, 1], 1]], 'hecke_orbit_code': 36028797052523404, 'p': 53}
-
id: 3770166
{'charpoly_factorization': [[[8, -21, 13, 1], 1]], 'hecke_orbit_code': 36028797052523404, 'p': 59}
-
id: 3770167
{'charpoly_factorization': [[[178, -117, 5, 1], 1]], 'hecke_orbit_code': 36028797052523404, 'p': 61}
-
id: 3770168
{'charpoly_factorization': [[[-8, -43, -3, 1], 1]], 'hecke_orbit_code': 36028797052523404, 'p': 67}
-
id: 3770169
{'charpoly_factorization': [[[-536, -20, 14, 1], 1]], 'hecke_orbit_code': 36028797052523404, 'p': 71}
-
id: 3770170
{'charpoly_factorization': [[[-98, -49, -2, 1], 1]], 'hecke_orbit_code': 36028797052523404, 'p': 73}
-
id: 3770171
{'charpoly_factorization': [[[-772, -3, 18, 1], 1]], 'hecke_orbit_code': 36028797052523404, 'p': 79}
-
id: 3770172
{'charpoly_factorization': [[[-698, 81, 24, 1], 1]], 'hecke_orbit_code': 36028797052523404, 'p': 83}
-
id: 3770173
{'charpoly_factorization': [[[-2738, -59, 23, 1], 1]], 'hecke_orbit_code': 36028797052523404, 'p': 89}
-
id: 3770174
{'charpoly_factorization': [[[346, 127, -25, 1], 1]], 'hecke_orbit_code': 36028797052523404, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 9, 'label': '5004.2.a.i', 'level': 5004, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 50872675
{'hecke_orbit_code': 36028797052523404, 'n': 1, 'trace_an': 3}
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id: 50872676
{'hecke_orbit_code': 36028797052523404, 'n': 2, 'trace_an': 0}
-
id: 50872677
{'hecke_orbit_code': 36028797052523404, 'n': 3, 'trace_an': 0}
-
id: 50872678
{'hecke_orbit_code': 36028797052523404, 'n': 4, 'trace_an': 0}
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id: 50872679
{'hecke_orbit_code': 36028797052523404, 'n': 5, 'trace_an': -2}
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id: 50872680
{'hecke_orbit_code': 36028797052523404, 'n': 6, 'trace_an': 0}
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id: 50872681
{'hecke_orbit_code': 36028797052523404, 'n': 7, 'trace_an': 1}
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id: 50872682
{'hecke_orbit_code': 36028797052523404, 'n': 8, 'trace_an': 0}
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id: 50872683
{'hecke_orbit_code': 36028797052523404, 'n': 9, 'trace_an': 0}
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id: 50872684
{'hecke_orbit_code': 36028797052523404, 'n': 10, 'trace_an': 0}
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id: 50872685
{'hecke_orbit_code': 36028797052523404, 'n': 11, 'trace_an': -10}
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id: 50872686
{'hecke_orbit_code': 36028797052523404, 'n': 12, 'trace_an': 0}
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id: 50872687
{'hecke_orbit_code': 36028797052523404, 'n': 13, 'trace_an': 4}
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id: 50872688
{'hecke_orbit_code': 36028797052523404, 'n': 14, 'trace_an': 0}
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