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mf_newforms • Show schema
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{'Nk2': 112, 'analytic_conductor': 0.4130133700401843, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 3, 'char_parity': 1, 'char_values': [7, 3, [3], [1]], 'cm_discs': [], 'conrey_index': 2, 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 137506062343, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [-2, 2], [0, -7], [0, 4], [-7, 7], [14, 0], [21, -14], [-24, 0], [-22, 22], [0, -14], [0, 5], [28, -28], [-14, 0], [-14, 42], [49, 0], [16, -16], [0, 21], [0, -44], [-49, 49], [-28, 0], [-98, -49], [-10, 0], [159, -159], [0, 168], [0, 76], [28, -28], [-35, 0], [56, 28], [58, 0], [-98, 98], [0, -147], [0, -160], [35, -35], [-42, 0], [-49, 147], [-88, 0], [-219, 219], [0, -98], [0, 98], [168, -168], [350, 0], [294, -196], [-124, 0], [-20, 20], [0, -154], [0, 318], [-525, 525], [-112, 0], [245, -392], [-152, 0], [147, -147], [0, -56], [0, -303], [70, -70], [-35, 0], [-504, 336], [343, 0], [-116, 116], [0, 105], [0, 196], [413, -413], [294, 0], [-154, 462], [448, 0], [98, -98], [0, 70], [0, -415], [-84, 84], [-1113, 0], [-196, -98], [-432, 0], [528, -528], [0, 1113], [0, -438], [532, -532], [-196, 0], [70, 35], [-196, 0], [103, -103], [0, 112], [0, 839], [-700, 700], [1092, 0], [196, -588], [-147, 0], [248, -248], [0, -406], [0, -120], [329, -329], [308, 0], [-294, 196], [636, 0], [-1029, 1029], [0, -1050], [0, -343], [-1120, 1120], [-882, 0], [294, 490], [-110, 0], [-304, 304]], 'ap': [[-2, 2], [0, -7], [-7, 7], [21, -14], [0, 5], [-14, 0], [0, 21], [-49, 49], [159, -159], [58, 0], [0, -147], [-219, 219], [350, 0], [-124, 0], [-525, 525], [0, -303], [0, 105], [413, -413], [0, -415], [-432, 0], [0, 1113], [103, -103], [1092, 0], [329, -329], [-882, 0], [0, -1379], [679, -679], [-457, 457], [0, 1125], [-1538, 0], [72, 0], [-2149, 2149], [0, 1125], [252, 0], [201, -201], [0, -1619], [0, -679], [467, -467], [1204, 0], [2821, -2821], [0, 3253], [1582, 0], [-2557, 2557], [0, 397], [2914, 0], [0, -3339], [1780, 0], [-1400, 0], [0, 2205], [-287, 287], [-4587, 4587], [1668, 0], [0, 3409], [-4760, 0], [805, -805], [0, 257], [0, -3591], [-1393, 1393], [0, -415], [-4954, 0], [0, 4277], [7742, 0], [-7364, 0], [0, -9975], [4753, -4753], [3477, -3477], [-3341, 3341], [7366, 0], [0, -7415], [-3878, 0], [0, -1267], [-4685, 4685], [0, 4641], [8797, -8797], [13680, 0], [-9765, 9765], [0, -1731], [-10983, 10983], [-6603, 6603], [0, -10955], [6636, 0], [-16630, 0], [0, -4923], [8974, 0], [4179, -4179], [12927, -12927], [-2826, 0], [-8479, 8479], [9338, 0], [-4016, 0], [5859, -5859], [0, -6503], [0, 16049], [8864, 0], [10211, -10211], [-1680, 0], [9457, -9457], [0, 18081], [-20377, 20377], [6193, -6193], [-18464, 0], [0, 9413], [0, -3199], [-21583, 21583], [0, -20267], [0, -13951], [-20972, 0], [189, -189], [0, 10281], [-6090, 0], [-4949, 4949], [0, 15797], [-9378, 0], [0, 24353], [-12640, 0], [0, 1041], [9548, 0], [0, 3241], [8853, -8853], [7044, 0], [0, 12089], [982, 0], [30513, -30513], [0, -11475], [28315, -28315], [10614, 0], [-10299, 10299], [-32529, 32529], [29456, 0], [-27867, 27867], [0, -19539], [1248, 0], [-28093, 28093], [35954, 0], [861, -861], [24710, 0], [0, -16499], [0, -16471], [-36470, 0], [0, -35751], [-16492, 0], [41473, -41473], [0, 25065], [9732, 0], [0, -27755], [21112, 0], [-21238, 0], [0, 35609], [-2177, 2177], [32247, -32247], [-27631, 27631], [24402, 0], [-19612, 0], [-2261, 2261], [0, 23833], [31824, 0], [16819, -16819], [-1799, 1799], [14154, 0], [0, -12047], [24379, -24379], [-52330, 0], [-12416, 0], [-36813, 36813], [0, -34995], [0, 14301], [0, 2665], [0, -24871]], 'char_orbit_index': 3, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 137506062343, 'hecke_ring_character_values': [[3, [-1, 1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '7.4.c.a', 'level': 7, 'maxp': 997, 'weight': 4}
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mf_newspaces • Show schema
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{'Nk2': 112, 'analytic_conductor': 0.4130133700401843, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 3, 'char_parity': 1, 'char_values': [7, 3, [3], [1]], 'conrey_index': 2, 'cusp_dim': 2, 'dim': 2, 'eis_dim': 4, 'eis_new_dim': 4, 'hecke_cutter_primes': [], 'hecke_orbit_code': 137506062343, 'hecke_orbit_dims': [2], 'label': '7.4.c', 'level': 7, 'level_is_powerful': False, 'level_is_prime': True, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [7], 'level_radical': 7, 'mf_dim': 6, 'mf_new_dim': 6, 'num_forms': 1, 'prim_orbit_index': 3, 'relative_dim': 1, 'sturm_bound': 2, 'trace_bound': 0, 'trace_display': [-2, -7, -7, 28], 'traces': [2, -2, -7, 4, -7, 28, 28, -48, -22, -14, 5, 28, -28, 14, 98, 16, 21, -44, -49, -56, -245, -20, 159, 168, 76, 28, -70, 140, 116, -98, -147, -160, 35, -84, 49, -176, -219, -98, 98, 168, 700, 392, 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mf_twists_nf • Show schema
Hide schema
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id: 3332
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '7.4.c.a', 'source_level': 7, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '7.4.c.a', 'target_level': 7, 'twist_class_label': '7.4.c.a', 'twist_class_level': 7, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 3333
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '7.4.c.a', 'source_level': 7, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '7.4.c.a', 'target_level': 7, 'twist_class_label': '7.4.c.a', 'twist_class_level': 7, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 3334
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '7.4.c.a', 'source_level': 7, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '49.4.a.c', 'target_level': 49, 'twist_class_label': '7.4.c.a', 'twist_class_level': 7, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 3335
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '7.4.c.a', 'source_level': 7, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '49.4.a.d', 'target_level': 49, 'twist_class_label': '7.4.c.a', 'twist_class_level': 7, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 3336
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '7.4.c.a', 'source_level': 7, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '49.4.c.a', 'target_level': 49, 'twist_class_label': '7.4.c.a', 'twist_class_level': 7, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 3337
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '7.4.c.a', 'source_level': 7, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '49.4.c.a', 'target_level': 49, 'twist_class_label': '7.4.c.a', 'twist_class_level': 7, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 3338
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '7.4.c.a', 'source_level': 7, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '63.4.e.b', 'target_level': 63, 'twist_class_label': '7.4.c.a', 'twist_class_level': 7, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 3339
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '7.4.c.a', 'source_level': 7, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '63.4.e.b', 'target_level': 63, 'twist_class_label': '7.4.c.a', 'twist_class_level': 7, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 3340
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '7.4.c.a', 'source_level': 7, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '112.4.i.c', 'target_level': 112, 'twist_class_label': '7.4.c.a', 'twist_class_level': 7, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 3341
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '7.4.c.a', 'source_level': 7, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '112.4.i.c', 'target_level': 112, 'twist_class_label': '7.4.c.a', 'twist_class_level': 7, 'twisting_char_label': '28.g', 'twisting_char_orbit': 7, 'weight': 4}
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id: 3342
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '7.4.c.a', 'source_level': 7, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '175.4.e.a', 'target_level': 175, 'twist_class_label': '7.4.c.a', 'twist_class_level': 7, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 3343
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '7.4.c.a', 'source_level': 7, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '175.4.e.a', 'target_level': 175, 'twist_class_label': '7.4.c.a', 'twist_class_level': 7, 'twisting_char_label': '35.j', 'twisting_char_orbit': 10, 'weight': 4}
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id: 3344
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '7.4.c.a', 'source_level': 7, 'target_char_orbit': 11, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '175.4.k.a', 'target_level': 175, 'twist_class_label': '7.4.c.a', 'twist_class_level': 7, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 3345
{'conductor': 35, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '7.4.c.a', 'source_level': 7, 'target_char_orbit': 11, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '175.4.k.a', 'target_level': 175, 'twist_class_label': '7.4.c.a', 'twist_class_level': 7, 'twisting_char_label': '35.l', 'twisting_char_orbit': 12, 'weight': 4}
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id: 3346
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '7.4.c.a', 'source_level': 7, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '441.4.a.d', 'target_level': 441, 'twist_class_label': '7.4.c.a', 'twist_class_level': 7, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 3347
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '7.4.c.a', 'source_level': 7, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '441.4.a.e', 'target_level': 441, 'twist_class_label': '7.4.c.a', 'twist_class_level': 7, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 4}
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id: 3348
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '7.4.c.a', 'source_level': 7, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '441.4.e.k', 'target_level': 441, 'twist_class_label': '7.4.c.a', 'twist_class_level': 7, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 3349
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '7.4.c.a', 'source_level': 7, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '441.4.e.k', 'target_level': 441, 'twist_class_label': '7.4.c.a', 'twist_class_level': 7, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 4}
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id: 3350
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '7.4.c.a', 'source_level': 7, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '448.4.i.a', 'target_level': 448, 'twist_class_label': '7.4.c.a', 'twist_class_level': 7, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 3351
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '7.4.c.a', 'source_level': 7, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '448.4.i.a', 'target_level': 448, 'twist_class_label': '7.4.c.a', 'twist_class_level': 7, 'twisting_char_label': '56.k', 'twisting_char_orbit': 11, 'weight': 4}
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id: 3352
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '7.4.c.a', 'source_level': 7, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '448.4.i.f', 'target_level': 448, 'twist_class_label': '7.4.c.a', 'twist_class_level': 7, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 3353
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '7.4.c.a', 'source_level': 7, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '448.4.i.f', 'target_level': 448, 'twist_class_label': '7.4.c.a', 'twist_class_level': 7, 'twisting_char_label': '56.p', 'twisting_char_orbit': 16, 'weight': 4}
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id: 3354
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '7.4.c.a', 'source_level': 7, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '784.4.a.b', 'target_level': 784, 'twist_class_label': '7.4.c.a', 'twist_class_level': 7, 'twisting_char_label': '28.g', 'twisting_char_orbit': 7, 'weight': 4}
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id: 3355
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '7.4.c.a', 'source_level': 7, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '784.4.a.r', 'target_level': 784, 'twist_class_label': '7.4.c.a', 'twist_class_level': 7, 'twisting_char_label': '28.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 3356
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '7.4.c.a', 'source_level': 7, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1225.4.a.c', 'target_level': 1225, 'twist_class_label': '7.4.c.a', 'twist_class_level': 7, 'twisting_char_label': '35.j', 'twisting_char_orbit': 10, 'weight': 4}
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id: 3357
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '7.4.c.a', 'source_level': 7, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1225.4.a.d', 'target_level': 1225, 'twist_class_label': '7.4.c.a', 'twist_class_level': 7, 'twisting_char_label': '35.i', 'twisting_char_orbit': 9, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 26200
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 137506062343, 'p': 2}
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id: 26201
{'charpoly_factorization': [[[49, 7, 1], 1]], 'hecke_orbit_code': 137506062343, 'p': 3}
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id: 26202
{'charpoly_factorization': [[[49, 7, 1], 1]], 'hecke_orbit_code': 137506062343, 'p': 5}
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id: 26203
{'charpoly_factorization': [[[343, -28, 1], 1]], 'hecke_orbit_code': 137506062343, 'p': 7}
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id: 26204
{'charpoly_factorization': [[[25, -5, 1], 1]], 'hecke_orbit_code': 137506062343, 'p': 11}
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id: 26205
{'charpoly_factorization': [[[14, 1], 2]], 'hecke_orbit_code': 137506062343, 'p': 13}
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id: 26206
{'charpoly_factorization': [[[441, -21, 1], 1]], 'hecke_orbit_code': 137506062343, 'p': 17}
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id: 26207
{'charpoly_factorization': [[[2401, 49, 1], 1]], 'hecke_orbit_code': 137506062343, 'p': 19}
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id: 26208
{'charpoly_factorization': [[[25281, -159, 1], 1]], 'hecke_orbit_code': 137506062343, 'p': 23}
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id: 26209
{'charpoly_factorization': [[[-58, 1], 2]], 'hecke_orbit_code': 137506062343, 'p': 29}
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id: 26210
{'charpoly_factorization': [[[21609, 147, 1], 1]], 'hecke_orbit_code': 137506062343, 'p': 31}
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id: 26211
{'charpoly_factorization': [[[47961, 219, 1], 1]], 'hecke_orbit_code': 137506062343, 'p': 37}
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id: 26212
{'charpoly_factorization': [[[-350, 1], 2]], 'hecke_orbit_code': 137506062343, 'p': 41}
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id: 26213
{'charpoly_factorization': [[[124, 1], 2]], 'hecke_orbit_code': 137506062343, 'p': 43}
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id: 26214
{'charpoly_factorization': [[[275625, 525, 1], 1]], 'hecke_orbit_code': 137506062343, 'p': 47}
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id: 26215
{'charpoly_factorization': [[[91809, 303, 1], 1]], 'hecke_orbit_code': 137506062343, 'p': 53}
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id: 26216
{'charpoly_factorization': [[[11025, -105, 1], 1]], 'hecke_orbit_code': 137506062343, 'p': 59}
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id: 26217
{'charpoly_factorization': [[[170569, -413, 1], 1]], 'hecke_orbit_code': 137506062343, 'p': 61}
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id: 26218
{'charpoly_factorization': [[[172225, 415, 1], 1]], 'hecke_orbit_code': 137506062343, 'p': 67}
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id: 26219
{'charpoly_factorization': [[[432, 1], 2]], 'hecke_orbit_code': 137506062343, 'p': 71}
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id: 26220
{'charpoly_factorization': [[[1238769, -1113, 1], 1]], 'hecke_orbit_code': 137506062343, 'p': 73}
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id: 26221
{'charpoly_factorization': [[[10609, -103, 1], 1]], 'hecke_orbit_code': 137506062343, 'p': 79}
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id: 26222
{'charpoly_factorization': [[[-1092, 1], 2]], 'hecke_orbit_code': 137506062343, 'p': 83}
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id: 26223
{'charpoly_factorization': [[[108241, -329, 1], 1]], 'hecke_orbit_code': 137506062343, 'p': 89}
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id: 26224
{'charpoly_factorization': [[[882, 1], 2]], 'hecke_orbit_code': 137506062343, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 1, 'label': '7.4.c.a', 'level': 7, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 5894299
{'hecke_orbit_code': 137506062343, 'n': 1, 'trace_an': 2}
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id: 5894300
{'hecke_orbit_code': 137506062343, 'n': 2, 'trace_an': -2}
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id: 5894301
{'hecke_orbit_code': 137506062343, 'n': 3, 'trace_an': -7}
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