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mf_newforms • Show schema
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{'Nk2': 3520, 'analytic_conductor': 12.980420201262936, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [5, -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': [220, 1, [111, 177, 101], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [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': [[3, [-8, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007199321850076, 'hecke_ring_generator_nbound': 1, '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': True, 'label': '220.4.a.c', 'level': 220, '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, 5, 11], 'level_radical': 110, 'minimal_twist': '220.4.a.c', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+8q^{3}+5q^{5}+24q^{7}+37q^{9}-11q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '220.4.a', 'trace_display': [0, 8, 5, 24], 'trace_hash': 951962191465627353, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.016', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.004', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.055', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.019', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [8], [0], [5], [0], [24], [0], [37], [0], [-11], [0], [-22], [0], [40], [0], [22], [0], [-28], [0], [192], [0], [-44], [0], [25], [0], [80], [0], [110], [0], [-40], [0], [-88], [0], [120], [0], [-362], [0], [-176], [0], [210], [0], [260], [0], [185], [0], [-460], [0], [233], [0], [176], [0], [662], [0], [-55], [0], [-224], [0], [-68], [0], [606], [0], [888], [0], [-110], [0], [-312], [0], [-352], [0], [360], [0], [-1042], [0], [200], [0], [-264], [0], [-552], [0], [-359], [0], [268], [0], [110], [0], [880], [0], [-966], [0], [-528], [0], [-320], [0], [-140], [0], [-1334], [0], [-407], [0]], 'ap': [[0], [8], [5], [24], [-11], [-22], [22], [-28], [-44], [110], [-40], [-362], [210], [260], [-460], [662], [-68], [606], [-312], [360], [-1042], [-552], [268], [-966], [-1334], [-1362], [1564], [-1108], [-1482], [-1030], [1928], [-996], [578], [-1484], [3214], [1960], [-2810], [1688], [3616], [3714], [444], [-4658], [-216], [470], [2362], [-1728], [1740], [-964], [1932], [4718], [198], [-4136], [-3222], [6916], [5714], [4464], [4886], [5040], [3970], [2882], [2308], [8610], [-5532], [-1688], [-678], [-10794], [9228], [-7946], [-4676], [606], [-238], [9856], [772], [-7990], [-3444], [1764], [7262], [1702], [1698], [5258], [-4772], [12830], [-10872], [14282], [-3928], [8192], [-3518], [-4346], [1062], [5084], [18456], [-6648], [-1492], [20364], [1444], [600], [-3274], [-11702], [-17316], [-19066], [20396], [-21166], [17572], [-14230], [-15316], [22794], [-12144], [-698], [6600], [-2254], [17848], [2266], [-19374], [-3692], [-2808], [7074], [16696], [4756], [7614], [27772], [-17938], [-42], [6226], [-23176], [13004], [21758], [-18578], [5760], [15764], [18898], [-26916], [2176], [12800], [36926], [-34374], [-7094], [-2234], [-12956], [-6042], [-13566], [28348], [-26810], [37596], [-852], [28294], [-10176], [20954], [-36402], [-6140], [17524], [9266], [4978], [42328], [-20480], [27232], [17992], [1064], [32882], [9414], [11270], [-5576], [13526], [14128], [-3540], [11050], [-19460], [-30776], [31370]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 9007199321850076, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '220.4.a.c', 'level': 220, 'maxp': 997, 'weight': 4}
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mf_newspaces • Show schema
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{'ALdims': [0, 0, 0, 0, 3, 3, 2, 2], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [2, 2, 2, 2, 1, 1, 1, 1], 'ALdims_old': [16, 9, 12, 13, 11, 9, 10, 12], 'Nk2': 3520, 'analytic_conductor': 12.980420201262936, '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': [220, 1, [111, 177, 101], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 102, 'dim': 10, 'eis_dim': 12, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 67109084, 'hecke_orbit_dims': [1, 1, 1, 2, 2, 3], 'label': '220.4.a', 'level': 220, '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, 5, 11], 'level_radical': 110, 'mf_dim': 114, 'mf_new_dim': 10, 'num_forms': 6, 'plus_dim': 5, 'prim_orbit_index': 1, 'relative_dim': 10, 'sturm_bound': 144, 'trace_bound': 3, 'trace_display': [0, -12, -10, 32], 'traces': [10, 0, -12, 0, -10, 0, 32, 0, 118, 0, 0, 0, -136, 0, 0, 0, 64, 0, 24, 0, 80, 0, -84, 0, 250, 0, -432, 0, 60, 0, -196, 0, -132, 0, 40, 0, -436, 0, -32, 0, 596, 0, -264, 0, 110, 0, -76, 0, -610, 0, 576, 0, 284, 0, 0, 0, -976, 0, -1032, 0, 1420, 0, 2048, 0, 160, 0, 1212, 0, 1800, 0, -1140, 0, 544, 0, -300, 0, -792, 0, -3440, 0, 154, 0, -440, 0, -560, 0, 2840, 0, 224, 0, 2120, 0, -2224, 0, -440, 0, -2796, 0, 0, 0, 484, 0, -1188, 0, 1160, 0, -1456, 0, -1548, 0, -2180, 0, -68, 0, -900, 0, 728, 0, 5692, 0, 1210, 0, -1528, 0, -250, 0, 2696, 0, 2080, 0, -2704, 0, -608, 0, 900, 0, -2396, 0, -856, 0, -2896, 0, 1364, 0, 3380, 0, 1004, 0, 84, 0, -824, 0, 3472, 0, -640, 0, -188, 0, 8716, 0, -8536, 0, 7316, 0, -660, 0, -584, 0, -2618, 0, -4896, 0, -4048, 0, 800, 0, 11256, 0, 360, 0, 2548, 0, -3768, 0, -4560, 0, -220, 0, -256, 0, 3704, 0, -8352, 0, -5960, 0, 15792, 0, -5068, 0, 1680, 0, 4648, 0, 20, 0, -4284, 0, 1452, 0, 4656, 0, -3648, 0, -1080, 0, 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'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 177972
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '220.4.a.c', 'source_level': 220, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '220.4.a.c', 'target_level': 220, 'twist_class_label': '220.4.a.c', 'twist_class_level': 220, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 177973
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '220.4.a.c', 'source_level': 220, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '880.4.a.a', 'target_level': 880, 'twist_class_label': '220.4.a.c', 'twist_class_level': 220, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 177974
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '220.4.a.c', 'source_level': 220, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1100.4.a.a', 'target_level': 1100, 'twist_class_label': '220.4.a.c', 'twist_class_level': 220, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 177975
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '220.4.a.c', 'source_level': 220, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1100.4.b.a', 'target_level': 1100, 'twist_class_label': '220.4.a.c', 'twist_class_level': 220, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 177976
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '220.4.a.c', 'source_level': 220, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1980.4.a.c', 'target_level': 1980, 'twist_class_label': '220.4.a.c', 'twist_class_level': 220, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 177977
{'conductor': 11, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '220.4.a.c', 'source_level': 220, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '2420.4.a.f', 'target_level': 2420, 'twist_class_label': '220.4.a.c', 'twist_class_level': 220, 'twisting_char_label': '11.b', 'twisting_char_orbit': 2, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 530150
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199321850076, 'p': 2}
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id: 530151
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 9007199321850076, 'p': 3}
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id: 530152
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 9007199321850076, 'p': 5}
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id: 530153
{'charpoly_factorization': [[[-24, 1], 1]], 'hecke_orbit_code': 9007199321850076, 'p': 7}
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id: 530154
{'charpoly_factorization': [[[11, 1], 1]], 'hecke_orbit_code': 9007199321850076, 'p': 11}
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id: 530155
{'charpoly_factorization': [[[22, 1], 1]], 'hecke_orbit_code': 9007199321850076, 'p': 13}
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id: 530156
{'charpoly_factorization': [[[-22, 1], 1]], 'hecke_orbit_code': 9007199321850076, 'p': 17}
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id: 530157
{'charpoly_factorization': [[[28, 1], 1]], 'hecke_orbit_code': 9007199321850076, 'p': 19}
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id: 530158
{'charpoly_factorization': [[[44, 1], 1]], 'hecke_orbit_code': 9007199321850076, 'p': 23}
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id: 530159
{'charpoly_factorization': [[[-110, 1], 1]], 'hecke_orbit_code': 9007199321850076, 'p': 29}
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id: 530160
{'charpoly_factorization': [[[40, 1], 1]], 'hecke_orbit_code': 9007199321850076, 'p': 31}
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id: 530161
{'charpoly_factorization': [[[362, 1], 1]], 'hecke_orbit_code': 9007199321850076, 'p': 37}
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id: 530162
{'charpoly_factorization': [[[-210, 1], 1]], 'hecke_orbit_code': 9007199321850076, 'p': 41}
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id: 530163
{'charpoly_factorization': [[[-260, 1], 1]], 'hecke_orbit_code': 9007199321850076, 'p': 43}
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id: 530164
{'charpoly_factorization': [[[460, 1], 1]], 'hecke_orbit_code': 9007199321850076, 'p': 47}
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id: 530165
{'charpoly_factorization': [[[-662, 1], 1]], 'hecke_orbit_code': 9007199321850076, 'p': 53}
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id: 530166
{'charpoly_factorization': [[[68, 1], 1]], 'hecke_orbit_code': 9007199321850076, 'p': 59}
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id: 530167
{'charpoly_factorization': [[[-606, 1], 1]], 'hecke_orbit_code': 9007199321850076, 'p': 61}
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id: 530168
{'charpoly_factorization': [[[312, 1], 1]], 'hecke_orbit_code': 9007199321850076, 'p': 67}
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id: 530169
{'charpoly_factorization': [[[-360, 1], 1]], 'hecke_orbit_code': 9007199321850076, 'p': 71}
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id: 530170
{'charpoly_factorization': [[[1042, 1], 1]], 'hecke_orbit_code': 9007199321850076, 'p': 73}
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id: 530171
{'charpoly_factorization': [[[552, 1], 1]], 'hecke_orbit_code': 9007199321850076, 'p': 79}
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id: 530172
{'charpoly_factorization': [[[-268, 1], 1]], 'hecke_orbit_code': 9007199321850076, 'p': 83}
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id: 530173
{'charpoly_factorization': [[[966, 1], 1]], 'hecke_orbit_code': 9007199321850076, 'p': 89}
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id: 530174
{'charpoly_factorization': [[[1334, 1], 1]], 'hecke_orbit_code': 9007199321850076, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 3, 'label': '220.4.a.c', 'level': 220, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 28352887
{'hecke_orbit_code': 9007199321850076, 'n': 1, 'trace_an': 1}
-
id: 28352888
{'hecke_orbit_code': 9007199321850076, 'n': 2, 'trace_an': 0}
-
id: 28352889
{'hecke_orbit_code': 9007199321850076, 'n': 3, 'trace_an': 8}
-
id: 28352890
{'hecke_orbit_code': 9007199321850076, 'n': 4, 'trace_an': 0}
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id: 28352891
{'hecke_orbit_code': 9007199321850076, 'n': 5, 'trace_an': 5}
-
id: 28352892
{'hecke_orbit_code': 9007199321850076, 'n': 6, 'trace_an': 0}
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id: 28352893
{'hecke_orbit_code': 9007199321850076, 'n': 7, 'trace_an': 24}
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id: 28352894
{'hecke_orbit_code': 9007199321850076, 'n': 8, 'trace_an': 0}
-
id: 28352895
{'hecke_orbit_code': 9007199321850076, 'n': 9, 'trace_an': 37}
-
id: 28352896
{'hecke_orbit_code': 9007199321850076, 'n': 10, 'trace_an': 0}
-
id: 28352897
{'hecke_orbit_code': 9007199321850076, 'n': 11, 'trace_an': -11}
-
id: 28352898
{'hecke_orbit_code': 9007199321850076, 'n': 12, 'trace_an': 0}
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id: 28352899
{'hecke_orbit_code': 9007199321850076, 'n': 13, 'trace_an': -22}
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id: 28352900
{'hecke_orbit_code': 9007199321850076, 'n': 14, 'trace_an': 0}
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id: 28352901
{'hecke_orbit_code': 9007199321850076, 'n': 15, 'trace_an': 40}
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id: 28352902
{'hecke_orbit_code': 9007199321850076, 'n': 16, 'trace_an': 0}
-
id: 28352903
{'hecke_orbit_code': 9007199321850076, 'n': 17, 'trace_an': 22}
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