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{'Nk2': 5780, 'analytic_conductor': 11.538383092075016, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[5, -1], [17, 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': [1445, 1, [1157, 581], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 12, 'field_disc': 120650147553235399488, 'field_disc_factorization': [[2, 6], [3, 16], [43793313677, 1]], 'field_poly': [9, 153, -297, -899, 396, 936, -309, -354, 114, 55, -18, -3, 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, [9, 153, -297, -899, 396, 936, -309, -354, 114, 55, -18, -3, 1]], [3, [-557, 1935, -453, -3374, 1326, 2148, -794, -594, 207, 71, -24, -3, 1]]], 'hecke_orbit': 19, 'hecke_orbit_code': 81064793326224805, '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': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1445.2.a.s', 'level': 1445, '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': [5, 17], 'level_radical': 85, 'minimal_twist': '1445.2.a.r', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}-\\beta _{8}q^{3}+(2+\\beta _{2})q^{4}+q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 12, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1445.2.a', 'trace_display': [3, 3, 12, 6], 'trace_hash': 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-
mf_newspaces • Show schema
Hide schema
{'ALdims': [18, 27, 27, 19], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [8, 9, 9, 9], 'ALdims_old': [10, 13, 9, 12], 'Nk2': 5780, 'analytic_conductor': 11.538383092075016, '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': [1445, 1, [1157, 581], [1, 1]], 'conrey_index': 1, 'cusp_dim': 135, 'dim': 91, 'eis_dim': 35, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 3], 'hecke_orbit_code': 33555877, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 6, 6, 6, 6, 12, 12, 12, 12], 'label': '1445.2.a', 'level': 1445, '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': [5, 17], 'level_radical': 85, 'mf_dim': 170, 'mf_new_dim': 91, 'num_forms': 19, 'plus_dim': 37, 'prim_orbit_index': 1, 'relative_dim': 91, 'sturm_bound': 306, 'trace_bound': 5, 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mf_twists_cc • Show schema
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id: 48171070
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 12, 'source_embedding_index': 10, 'source_hecke_orbit_code': 81064793326224805, 'source_is_minimal': True, 'source_label': '1445.2.a.s.1.10', 'source_level': 1445, 'target_conrey_index': 1, 'target_dim': 12, 'target_embedding_index': 10, 'target_hecke_orbit_code': 81064793326224805, 'target_is_minimal': True, 'target_label': '1445.2.a.s.1.10', 'target_level': 1445, 'twist_class_label': '1445.2.a.r.1.10', 'twist_class_level': 1445, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48171071
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 12, 'source_embedding_index': 10, 'source_hecke_orbit_code': 81064793326224805, 'source_is_minimal': True, 'source_label': '1445.2.a.s.1.10', 'source_level': 1445, 'target_conrey_index': 1, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 175640385501011001, 'target_is_minimal': False, 'target_label': '7225.2.a.bn.1.3', 'target_level': 7225, 'twist_class_label': '1445.2.a.r.1.10', 'twist_class_level': 1445, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48171072
{'conductor': 17, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 12, 'source_embedding_index': 10, 'source_hecke_orbit_code': 81064793326224805, 'source_is_minimal': True, 'source_label': '1445.2.a.s.1.10', 'source_level': 1445, 'target_conrey_index': 866, 'target_dim': 24, 'target_embedding_index': 6, 'target_hecke_orbit_code': 36029003210950053, 'target_is_minimal': False, 'target_label': '1445.2.d.i.866.6', 'target_level': 1445, 'twist_class_label': '1445.2.a.r.1.10', 'twist_class_level': 1445, 'twisting_char_label': '17.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48171073
{'conductor': 17, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 12, 'source_embedding_index': 10, 'source_hecke_orbit_code': 81064793326224805, 'source_is_minimal': True, 'source_label': '1445.2.a.s.1.10', 'source_level': 1445, 'target_conrey_index': 866, 'target_dim': 24, 'target_embedding_index': 5, 'target_hecke_orbit_code': 36029003210950053, 'target_is_minimal': False, 'target_label': '1445.2.d.i.866.5', 'target_level': 1445, 'twist_class_label': '1445.2.a.r.1.10', 'twist_class_level': 1445, 'twisting_char_label': '17.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 48171074
{'conductor': 17, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 12, 'source_embedding_index': 10, 'source_hecke_orbit_code': 81064793326224805, 'source_is_minimal': True, 'source_label': '1445.2.a.s.1.10', 'source_level': 1445, 'target_conrey_index': 1, 'target_dim': 12, 'target_embedding_index': 10, 'target_hecke_orbit_code': 76561193698854309, 'target_is_minimal': True, 'target_label': '1445.2.a.r.1.10', 'target_level': 1445, 'twist_class_label': '1445.2.a.r.1.10', 'twist_class_level': 1445, 'twisting_char_label': '17.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 48171075
{'conductor': 85, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 12, 'source_embedding_index': 10, 'source_hecke_orbit_code': 81064793326224805, 'source_is_minimal': True, 'source_label': '1445.2.a.s.1.10', 'source_level': 1445, 'target_conrey_index': 1, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 180143985128381497, 'target_is_minimal': False, 'target_label': '7225.2.a.bo.1.3', 'target_level': 7225, 'twist_class_label': '1445.2.a.r.1.10', 'twist_class_level': 1445, 'twisting_char_label': '85.84', 'twisting_conrey_index': 84, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1954900
{'charpoly_factorization': [[[9, 153, -297, -899, 396, 936, -309, -354, 114, 55, -18, -3, 1], 1]], 'hecke_orbit_code': 81064793326224805, 'p': 2}
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id: 1954901
{'charpoly_factorization': [[[-557, 1935, -453, -3374, 1326, 2148, -794, -594, 207, 71, -24, -3, 1], 1]], 'hecke_orbit_code': 81064793326224805, 'p': 3}
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id: 1954902
{'charpoly_factorization': [[[-1, 1], 12]], 'hecke_orbit_code': 81064793326224805, 'p': 5}
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id: 1954903
{'charpoly_factorization': [[[1459, -9696, 17448, -2750, -17553, 11388, 2194, -2838, 150, 230, -30, -6, 1], 1]], 'hecke_orbit_code': 81064793326224805, 'p': 7}
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id: 1954904
{'charpoly_factorization': [[[78336, -251136, -506304, 517312, 148512, -138204, -23903, 13419, 2151, -498, -81, 6, 1], 1]], 'hecke_orbit_code': 81064793326224805, 'p': 11}
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id: 1954905
{'charpoly_factorization': [[[-46016, -526080, 766752, -121744, -235020, 89268, 18185, -11652, 27, 557, -42, -9, 1], 1]], 'hecke_orbit_code': 81064793326224805, 'p': 13}
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id: 1954906
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 81064793326224805, 'p': 17}
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id: 1954907
{'charpoly_factorization': [[[-8487744, 17544384, -10468560, -1251392, 3609360, -1254468, 23839, 76464, -16308, 538, 210, -27, 1], 1]], 'hecke_orbit_code': 81064793326224805, 'p': 19}
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id: 1954908
{'charpoly_factorization': [[[13695237, -13134636, -3546045, 7736955, -2253672, -397563, 280832, -23718, -8019, 1505, 12, -18, 1], 1]], 'hecke_orbit_code': 81064793326224805, 'p': 23}
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id: 1954909
{'charpoly_factorization': [[[-19957023, -25495803, -1460916, 8463447, 2231379, -771489, -280594, 22521, 12087, -148, -198, 0, 1], 1]], 'hecke_orbit_code': 81064793326224805, 'p': 29}
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id: 1954910
{'charpoly_factorization': [[[570816, 5519232, 9172512, 2856384, -2105460, -1181052, -23003, 68589, 7113, -1244, -171, 6, 1], 1]], 'hecke_orbit_code': 81064793326224805, 'p': 31}
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id: 1954911
{'charpoly_factorization': [[[851392, -1299264, -685536, 1304784, -105204, -305772, 92761, 9384, -7167, 657, 102, -21, 1], 1]], 'hecke_orbit_code': 81064793326224805, 'p': 37}
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id: 1954912
{'charpoly_factorization': [[[-85203, -6403734, 8878122, 3512638, -4138068, -1441611, 250919, 114519, 354, -2422, -117, 15, 1], 1]], 'hecke_orbit_code': 81064793326224805, 'p': 41}
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id: 1954913
{'charpoly_factorization': [[[5779099, 2580561, -43478091, 8676313, 10844736, -2706522, -569837, 226548, -8628, -4615, 744, -45, 1], 1]], 'hecke_orbit_code': 81064793326224805, 'p': 43}
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id: 1954914
{'charpoly_factorization': [[[-32175603, 27560439, 22776579, -24711150, -424755, 5007603, -995254, -114711, 31005, 982, -309, -3, 1], 1]], 'hecke_orbit_code': 81064793326224805, 'p': 47}
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id: 1954915
{'charpoly_factorization': [[[-19403712, -17760384, 12517056, 8132608, -1883484, -1321416, 35815, 77076, 3567, -1688, -123, 12, 1], 1]], 'hecke_orbit_code': 81064793326224805, 'p': 53}
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id: 1954916
{'charpoly_factorization': [[[748413504, -2074756608, 2345187168, -1394919728, 467204484, -85061028, 6148633, 480618, -123054, 6565, 240, -36, 1], 1]], 'hecke_orbit_code': 81064793326224805, 'p': 59}
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id: 1954917
{'charpoly_factorization': [[[-600758657, -1159191270, -270313974, 125170169, 39238890, -4040250, -1765163, 36174, 34470, 220, -303, -3, 1], 1]], 'hecke_orbit_code': 81064793326224805, 'p': 61}
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id: 1954918
{'charpoly_factorization': [[[11025401833, -21089851224, 12247094760, -2401844248, -193439145, 153190254, -22101214, 198762, 305100, -40564, 2496, -78, 1], 1]], 'hecke_orbit_code': 81064793326224805, 'p': 67}
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id: 1954919
{'charpoly_factorization': [[[443460096, 671203584, 39263616, -261940032, -64831752, 15667272, 6696951, 477072, -59973, -8318, -30, 30, 1], 1]], 'hecke_orbit_code': 81064793326224805, 'p': 71}
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id: 1954920
{'charpoly_factorization': [[[52193728, 122608128, -3780912, -71285648, -18743352, 5149440, 1888567, 7092, -43314, -3226, 222, 33, 1], 1]], 'hecke_orbit_code': 81064793326224805, 'p': 73}
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id: 1954921
{'charpoly_factorization': [[[-43758656, 251174592, -22451232, -185392352, 81755268, -214608, -3966059, 180492, 72378, -1654, -486, 3, 1], 1]], 'hecke_orbit_code': 81064793326224805, 'p': 79}
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id: 1954922
{'charpoly_factorization': [[[-2193489, -17118063, 31330386, -3558689, -10189881, 1273443, 911350, -121488, -24450, 4128, 30, -27, 1], 1]], 'hecke_orbit_code': 81064793326224805, 'p': 83}
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id: 1954923
{'charpoly_factorization': [[[-5665424229, 3027961278, 3233589093, -2440959597, 282498462, 74598903, -10740286, -830250, 126399, 3859, -606, -6, 1], 1]], 'hecke_orbit_code': 81064793326224805, 'p': 89}
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id: 1954924
{'charpoly_factorization': [[[20905823168, -6992275584, -3387175920, 724389808, 205517352, -25165788, -5775295, 366447, 76554, -2394, -462, 6, 1], 1]], 'hecke_orbit_code': 81064793326224805, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 19, 'label': '1445.2.a.s', 'level': 1445, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 62877157
{'hecke_orbit_code': 81064793326224805, 'n': 1, 'trace_an': 12}
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id: 62877158
{'hecke_orbit_code': 81064793326224805, 'n': 2, 'trace_an': 3}
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id: 62877159
{'hecke_orbit_code': 81064793326224805, 'n': 3, 'trace_an': 3}
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id: 62877160
{'hecke_orbit_code': 81064793326224805, 'n': 4, 'trace_an': 21}
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id: 62877161
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