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{'Nk2': 24120, 'analytic_conductor': 48.14979241883207, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, -1], [67, -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': [6030, 1, [4691, 1207, 3151], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 4, 'field_disc': 15188, 'field_disc_factorization': [[2, 2], [3797, 1]], 'field_poly': [2, 1, -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, [-88, -75, -9, 5, 1]], [11, [8, -85, 3, 9, 1]], [13, [4, 58, 46, 12, 1]], [17, [52, 98, -44, 0, 1]], [23, [-32, -184, -44, 6, 1]], [29, [-412, 34, 90, 18, 1]]], 'hecke_orbit': 46, 'hecke_orbit_code': 202661983265232782, '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': False, 'label': '6030.2.a.bt', 'level': 6030, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 67], 'level_radical': 2010, 'minimal_twist': '670.2.a.j', 'nf_label': '4.4.15188.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{4}+q^{5}+(-1-\\beta _{1}-\\beta _{3})q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6030.2.a', 'trace_display': [4, 0, 4, -5], 'trace_hash': 2172877819917819364, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_nf • Show schema
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'char_orbit_index': 1, 'field_poly': [2, 1, -7, -1, 1], 'hecke_orbit_code': 202661983265232782, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 2, 2], 'hecke_ring_inverse_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [4, 1, 1, -1], [4, 7, 2, 0]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [-4, -7, 0, 1], [4, -5, -2, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '6030.2.a.bt', 'level': 6030, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [5, -1], [67, -1]], 7, 3], [[[2, -1], [3, 1], [5, 1], [67, -1]], 4, 4], [[[2, 1], [3, 1], [5, 1], [67, 1]], 4, 2], [[[2, 1], [3, 1], [5, -1], [67, -1]], 4, 4], [[[2, -1], [3, 1], [5, 1], [67, 1]], 6, 3], [[[2, -1], [3, 1], [5, -1], [67, -1]], 8, 1], [[[2, 1], [3, -1], [5, -1], [67, -1]], 9, 5], [[[2, 1], [3, 1], [5, 1], [67, -1]], 8, 1], [[[2, 1], [3, -1], [5, 1], [67, -1]], 7, 3], [[[2, 1], [3, 1], [5, -1], [67, 1]], 6, 3], [[[2, 1], [3, -1], [5, 1], [67, 1]], 9, 4], [[[2, 1], [3, -1], [5, -1], [67, 1]], 8, 4], [[[2, -1], [3, -1], [5, 1], [67, -1]], 9, 5], [[[2, -1], [3, -1], [5, -1], [67, 1]], 9, 4], [[[2, -1], [3, 1], [5, -1], [67, 1]], 4, 2], [[[2, -1], [3, -1], [5, 1], [67, 1]], 8, 3]], 'ALdims': [4, 8, 6, 4, 9, 7, 8, 9, 6, 4, 4, 8, 8, 9, 9, 7], 'Nk2': 24120, 'analytic_conductor': 48.14979241883207, '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': [6030, 1, [4691, 1207, 3151], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1209, 'dim': 110, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 17, 23, 29], 'hecke_orbit_code': 33560462, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 8, 8], 'label': '6030.2.a', 'level': 6030, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 67], 'level_radical': 2010, 'mf_dim': 1240, 'mf_new_dim': 110, 'num_forms': 51, 'plus_dim': 46, 'prim_orbit_index': 1, 'relative_dim': 110, 'sturm_bound': 2448, 'trace_bound': 13, 'trace_display': [0, 0, 0, 0], 'traces': [110, 0, 0, 110, 0, 0, 0, 0, 0, 2, -4, 0, 0, 4, 0, 110, -4, 0, 8, 0, 0, 4, -12, 0, 110, -4, 0, 0, -28, 0, -8, 0, 0, -16, 0, 0, -24, 16, 0, 2, -20, 0, -8, -4, 0, 12, -4, 0, 98, 0, 0, 0, 0, 0, 0, 4, 0, -8, -48, 0, 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-8, 48, 0, 120, -320, 0, 60, -296, 0, -144, 4, 0, -176, 256, 0, 132, -192, 0, -16, 492, 0, -128, -148, 0, -64, -80, 0, 200, 144, 0, -48, 120, 0, 248, -100, 0, 68, 360, 0, -904, 184, 0, 72, -408, 0, 56, -32, 0, 400, 360, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1285593
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 46, 'source_is_minimal': False, 'source_label': '6030.2.a.bt', 'source_level': 6030, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': True, 'target_label': '670.2.a.j', 'target_level': 670, 'twist_class_label': '670.2.a.j', 'twist_class_level': 670, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1285594
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 46, 'source_is_minimal': False, 'source_label': '6030.2.a.bt', 'source_level': 6030, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '3350.2.a.n', 'target_level': 3350, 'twist_class_label': '670.2.a.j', 'twist_class_level': 670, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1285595
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 46, 'source_is_minimal': False, 'source_label': '6030.2.a.bt', 'source_level': 6030, 'target_char_orbit': 3, 'target_dim': 8, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '3350.2.c.m', 'target_level': 3350, 'twist_class_label': '670.2.a.j', 'twist_class_level': 670, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1285596
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 46, 'source_is_minimal': False, 'source_label': '6030.2.a.bt', 'source_level': 6030, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 31, 'target_is_minimal': False, 'target_label': '5360.2.a.be', 'target_level': 5360, 'twist_class_label': '670.2.a.j', 'twist_class_level': 670, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1285597
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 46, 'source_is_minimal': False, 'source_label': '6030.2.a.bt', 'source_level': 6030, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 46, 'target_is_minimal': False, 'target_label': '6030.2.a.bt', 'target_level': 6030, 'twist_class_label': '670.2.a.j', 'twist_class_level': 670, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4069125
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 202661983265232782, 'p': 2}
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id: 4069126
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 202661983265232782, 'p': 3}
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id: 4069127
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 202661983265232782, 'p': 5}
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id: 4069128
{'charpoly_factorization': [[[-88, -75, -9, 5, 1], 1]], 'hecke_orbit_code': 202661983265232782, 'p': 7}
-
id: 4069129
{'charpoly_factorization': [[[8, -85, 3, 9, 1], 1]], 'hecke_orbit_code': 202661983265232782, 'p': 11}
-
id: 4069130
{'charpoly_factorization': [[[4, 58, 46, 12, 1], 1]], 'hecke_orbit_code': 202661983265232782, 'p': 13}
-
id: 4069131
{'charpoly_factorization': [[[52, 98, -44, 0, 1], 1]], 'hecke_orbit_code': 202661983265232782, 'p': 17}
-
id: 4069132
{'charpoly_factorization': [[[1664, 160, -80, -4, 1], 1]], 'hecke_orbit_code': 202661983265232782, 'p': 19}
-
id: 4069133
{'charpoly_factorization': [[[-32, -184, -44, 6, 1], 1]], 'hecke_orbit_code': 202661983265232782, 'p': 23}
-
id: 4069134
{'charpoly_factorization': [[[-412, 34, 90, 18, 1], 1]], 'hecke_orbit_code': 202661983265232782, 'p': 29}
-
id: 4069135
{'charpoly_factorization': [[[-16, -54, -42, -2, 1], 1]], 'hecke_orbit_code': 202661983265232782, 'p': 31}
-
id: 4069136
{'charpoly_factorization': [[[226, 329, -41, -9, 1], 1]], 'hecke_orbit_code': 202661983265232782, 'p': 37}
-
id: 4069137
{'charpoly_factorization': [[[-1996, -774, -40, 12, 1], 1]], 'hecke_orbit_code': 202661983265232782, 'p': 41}
-
id: 4069138
{'charpoly_factorization': [[[-248, -30, 64, 16, 1], 1]], 'hecke_orbit_code': 202661983265232782, 'p': 43}
-
id: 4069139
{'charpoly_factorization': [[[3064, -798, -110, 10, 1], 1]], 'hecke_orbit_code': 202661983265232782, 'p': 47}
-
id: 4069140
{'charpoly_factorization': [[[3676, -462, -110, 8, 1], 1]], 'hecke_orbit_code': 202661983265232782, 'p': 53}
-
id: 4069141
{'charpoly_factorization': [[[-7816, -1906, -36, 18, 1], 1]], 'hecke_orbit_code': 202661983265232782, 'p': 59}
-
id: 4069142
{'charpoly_factorization': [[[-286, -1095, -105, 11, 1], 1]], 'hecke_orbit_code': 202661983265232782, 'p': 61}
-
id: 4069143
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 202661983265232782, 'p': 67}
-
id: 4069144
{'charpoly_factorization': [[[-3224, -1087, 121, 27, 1], 1]], 'hecke_orbit_code': 202661983265232782, 'p': 71}
-
id: 4069145
{'charpoly_factorization': [[[-452, 418, -84, -4, 1], 1]], 'hecke_orbit_code': 202661983265232782, 'p': 73}
-
id: 4069146
{'charpoly_factorization': [[[256, -352, 64, 20, 1], 1]], 'hecke_orbit_code': 202661983265232782, 'p': 79}
-
id: 4069147
{'charpoly_factorization': [[[484, 99, -109, 9, 1], 1]], 'hecke_orbit_code': 202661983265232782, 'p': 83}
-
id: 4069148
{'charpoly_factorization': [[[-62, 67, 81, 17, 1], 1]], 'hecke_orbit_code': 202661983265232782, 'p': 89}
-
id: 4069149
{'charpoly_factorization': [[[778, -329, -111, 5, 1], 1]], 'hecke_orbit_code': 202661983265232782, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 46, 'label': '6030.2.a.bt', 'level': 6030, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 275844000
{'hecke_orbit_code': 202661983265232782, 'n': 1, 'trace_an': 4}
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id: 275844980
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id: 275844981
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id: 275844982
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id: 275844983
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id: 275844984
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id: 275844985
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id: 275844986
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id: 275844987
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id: 275844988
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id: 275844989
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id: 275844990
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id: 275844991
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id: 275844992
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id: 275844993
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id: 275844994
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id: 275844995
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id: 275844996
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id: 275844997
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id: 275844998
{'hecke_orbit_code': 202661983265232782, 'n': 999, 'trace_an': 0}
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id: 275844999
{'hecke_orbit_code': 202661983265232782, 'n': 1000, 'trace_an': 4}