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{'Nk2': 22500, 'analytic_conductor': 44.91585113697022, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, -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': [5625, 1, [4376, 1252], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 8, 'field_disc': 13366265625, 'field_disc_factorization': [[3, 4], [5, 6], [59, 1], [179, 1]], 'field_poly': [16, 8, -48, -20, 41, 10, -12, -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': [[2, [16, 8, -48, -20, 41, 10, -12, -1, 1]], [7, [-1055, 320, 1650, -160, -654, -142, 29, 12, 1]]], 'hecke_orbit': 29, 'hecke_orbit_code': 126100789599933945, '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': '5625.2.a.bc', 'level': 5625, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'minimal_twist': '1875.2.a.n', 'nf_label': '8.8.13366265625.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}+(1+\\beta _{4}+\\beta _{5})q^{4}+(-1-\\beta _{2}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5625.2.a', 'trace_display': [1, 0, 0, -12], 'trace_hash': 788336138346872751, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.186', 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'dual_embedding_m': 6, 'embedding_index': 6, 'embedding_m': 6, 'embedding_root_imag': 0.0, 'embedding_root_real': 1.3135428324128906, 'hecke_orbit': 29, 'hecke_orbit_code': 126100789599933945, 'label': '5625.2.a.bc.1.6', 'level': 5625, 'weight': 2}
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{'AL_dims': [[[[3, -1], [5, -1]], 54, 9], [[[3, 1], [5, 1]], 36, 5], [[[3, 1], [5, -1]], 44, 4], [[[3, -1], [5, 1]], 58, 14]], 'ALdims': [36, 44, 58, 54], 'Nk2': 22500, 'analytic_conductor': 44.91585113697022, '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': [5625, 1, [4376, 1252], [1, 1]], 'conrey_index': 1, 'cusp_dim': 691, 'dim': 192, 'eis_dim': 119, 'eis_new_dim': 16, 'hecke_cutter_primes': [2, 7], 'hecke_orbit_code': 33560057, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 24], 'label': '5625.2.a', 'level': 5625, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 810, 'mf_new_dim': 208, 'num_forms': 32, 'plus_dim': 90, 'prim_orbit_index': 1, 'relative_dim': 192, 'sturm_bound': 1500, 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mf_twists_cc • Show schema
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id: 48673695
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 6, 'source_hecke_orbit_code': 126100789599933945, 'source_is_minimal': False, 'source_label': '5625.2.a.bc.1.6', 'source_level': 5625, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 6, 'target_hecke_orbit_code': 126100789599933945, 'target_is_minimal': False, 'target_label': '5625.2.a.bc.1.6', 'target_level': 5625, 'twist_class_label': '1875.2.a.n.1.3', 'twist_class_level': 1875, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48673696
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 6, 'source_hecke_orbit_code': 126100789599933945, 'source_is_minimal': False, 'source_label': '5625.2.a.bc.1.6', 'source_level': 5625, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 58546795189372755, 'target_is_minimal': True, 'target_label': '1875.2.a.n.1.3', 'target_level': 1875, 'twist_class_label': '1875.2.a.n.1.3', 'twist_class_level': 1875, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48673697
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 6, 'source_hecke_orbit_code': 126100789599933945, 'source_is_minimal': False, 'source_label': '5625.2.a.bc.1.6', 'source_level': 5625, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 90071992580969977, 'target_is_minimal': False, 'target_label': '5625.2.a.u.1.3', 'target_level': 5625, 'twist_class_label': '1875.2.a.n.1.3', 'twist_class_level': 1875, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48673698
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 6, 'source_hecke_orbit_code': 126100789599933945, 'source_is_minimal': False, 'source_label': '5625.2.a.bc.1.6', 'source_level': 5625, 'target_conrey_index': 1249, 'target_dim': 16, 'target_embedding_index': 5, 'target_hecke_orbit_code': 27021666517256019, 'target_is_minimal': False, 'target_label': '1875.2.b.g.1249.5', 'target_level': 1875, 'twist_class_label': '1875.2.a.n.1.3', 'twist_class_level': 1875, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48673699
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 6, 'source_hecke_orbit_code': 126100789599933945, 'source_is_minimal': False, 'source_label': '5625.2.a.bc.1.6', 'source_level': 5625, 'target_conrey_index': 1249, 'target_dim': 16, 'target_embedding_index': 12, 'target_hecke_orbit_code': 27021666517256019, 'target_is_minimal': False, 'target_label': '1875.2.b.g.1249.12', 'target_level': 1875, 'twist_class_label': '1875.2.a.n.1.3', 'twist_class_level': 1875, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 48673700
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 6, 'source_hecke_orbit_code': 126100789599933945, 'source_is_minimal': False, 'source_label': '5625.2.a.bc.1.6', 'source_level': 5625, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 6, 'target_hecke_orbit_code': 63050394816743251, 'target_is_minimal': True, 'target_label': '1875.2.a.o.1.6', 'target_level': 1875, 'twist_class_label': '1875.2.a.n.1.3', 'twist_class_level': 1875, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3953100
{'charpoly_factorization': [[[16, 8, -48, -20, 41, 10, -12, -1, 1], 1]], 'hecke_orbit_code': 126100789599933945, 'p': 2}
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id: 3953101
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 126100789599933945, 'p': 3}
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id: 3953102
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 126100789599933945, 'p': 5}
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id: 3953103
{'charpoly_factorization': [[[-1055, 320, 1650, -160, -654, -142, 29, 12, 1], 1]], 'hecke_orbit_code': 126100789599933945, 'p': 7}
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id: 3953104
{'charpoly_factorization': [[[16, -344, 1728, -1160, -1749, -455, 2, 12, 1], 1]], 'hecke_orbit_code': 126100789599933945, 'p': 11}
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id: 3953105
{'charpoly_factorization': [[[8731, 16368, 7722, -860, -1364, -210, 43, 14, 1], 1]], 'hecke_orbit_code': 126100789599933945, 'p': 13}
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id: 3953106
{'charpoly_factorization': [[[8656, -12296, -14028, 2562, 2085, -122, -88, 1, 1], 1]], 'hecke_orbit_code': 126100789599933945, 'p': 17}
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id: 3953107
{'charpoly_factorization': [[[-14975, 40950, -42340, 21620, -5604, 554, 51, -16, 1], 1]], 'hecke_orbit_code': 126100789599933945, 'p': 19}
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id: 3953108
{'charpoly_factorization': [[[28720, -25560, -16260, 9950, 2731, -426, -104, 4, 1], 1]], 'hecke_orbit_code': 126100789599933945, 'p': 23}
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id: 3953109
{'charpoly_factorization': [[[57520, -13720, -29940, 3310, 3731, -257, -126, 2, 1], 1]], 'hecke_orbit_code': 126100789599933945, 'p': 29}
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id: 3953110
{'charpoly_factorization': [[[801025, 487775, -49560, -48425, 2801, 1453, -96, -13, 1], 1]], 'hecke_orbit_code': 126100789599933945, 'p': 31}
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id: 3953111
{'charpoly_factorization': [[[25, -1625, 2535, -825, -474, 313, -31, -8, 1], 1]], 'hecke_orbit_code': 126100789599933945, 'p': 37}
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id: 3953112
{'charpoly_factorization': [[[-48080, 32840, 12580, -6750, -749, 487, -6, -12, 1], 1]], 'hecke_orbit_code': 126100789599933945, 'p': 41}
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id: 3953113
{'charpoly_factorization': [[[-74369, -293275, 56711, 39050, -3729, -1620, 6, 20, 1], 1]], 'hecke_orbit_code': 126100789599933945, 'p': 43}
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id: 3953114
{'charpoly_factorization': [[[-255824, -272640, 56804, 48960, -169, -1635, -71, 15, 1], 1]], 'hecke_orbit_code': 126100789599933945, 'p': 47}
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id: 3953115
{'charpoly_factorization': [[[28720, -28400, -59800, 250, 7311, -306, -159, 4, 1], 1]], 'hecke_orbit_code': 126100789599933945, 'p': 53}
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id: 3953116
{'charpoly_factorization': [[[11920, 109200, -179520, 62230, 6661, -2241, -164, 14, 1], 1]], 'hecke_orbit_code': 126100789599933945, 'p': 59}
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id: 3953117
{'charpoly_factorization': [[[-1093919, 588525, 99929, -84310, 4521, 2060, -186, -10, 1], 1]], 'hecke_orbit_code': 126100789599933945, 'p': 61}
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id: 3953118
{'charpoly_factorization': [[[20204221, -7842924, -576673, 314923, 11790, -4283, -183, 19, 1], 1]], 'hecke_orbit_code': 126100789599933945, 'p': 67}
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id: 3953119
{'charpoly_factorization': [[[67696, -821056, 47512, 72312, -2165, -2102, -18, 21, 1], 1]], 'hecke_orbit_code': 126100789599933945, 'p': 71}
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id: 3953120
{'charpoly_factorization': [[[-379655, 184850, 76175, -26515, -3864, 1251, 21, -19, 1], 1]], 'hecke_orbit_code': 126100789599933945, 'p': 73}
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id: 3953121
{'charpoly_factorization': [[[6951025, 1678650, -820200, -122000, 28465, 2520, -320, -10, 1], 1]], 'hecke_orbit_code': 126100789599933945, 'p': 79}
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id: 3953122
{'charpoly_factorization': [[[-113744, 140056, 64588, -41610, -19349, -1840, 132, 27, 1], 1]], 'hecke_orbit_code': 126100789599933945, 'p': 83}
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id: 3953123
{'charpoly_factorization': [[[-12105680, 6006160, -202880, -250470, 22681, 2786, -294, -9, 1], 1]], 'hecke_orbit_code': 126100789599933945, 'p': 89}
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id: 3953124
{'charpoly_factorization': [[[-401939, -10004, 121672, 10788, -9590, -1468, 87, 24, 1], 1]], 'hecke_orbit_code': 126100789599933945, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 29, 'label': '5625.2.a.bc', 'level': 5625, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 263358000
{'hecke_orbit_code': 126100789599933945, 'n': 1, 'trace_an': 8}
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id: 263358001
{'hecke_orbit_code': 126100789599933945, 'n': 2, 'trace_an': 1}
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id: 263358002
{'hecke_orbit_code': 126100789599933945, 'n': 3, 'trace_an': 0}
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id: 263358003
{'hecke_orbit_code': 126100789599933945, 'n': 4, 'trace_an': 9}
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id: 263358004
{'hecke_orbit_code': 126100789599933945, 'n': 5, 'trace_an': 0}
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id: 263358005
{'hecke_orbit_code': 126100789599933945, 'n': 6, 'trace_an': 0}
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id: 263358006
{'hecke_orbit_code': 126100789599933945, 'n': 7, 'trace_an': -12}
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id: 263358007
{'hecke_orbit_code': 126100789599933945, 'n': 8, 'trace_an': 3}
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id: 263358008
{'hecke_orbit_code': 126100789599933945, 'n': 9, 'trace_an': 0}
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