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mf_newforms • Show schema
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{'Nk2': 6720, 'analytic_conductor': 13.414867539575104, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 33, 'char_orbit_label': 'bg', 'char_order': 3, 'char_parity': 1, 'char_values': [1680, 3, [1471, 421, 1121, 337, 241], [3, 3, 3, 3, 1]], 'cm_discs': [], 'conrey_index': 961, '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': [[11, [25, 5, 1]], [13, [5, 1]], [17, [16, -4, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13512997938923152, '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': False, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [-1, 1], [0, 0], [0, -1], [0, 0], [1, 2], [0, 0], [0, -1], [0, 0], [-5, 5], [0, 0], [-5, 0], [0, 0], [1, 0], [0, 0], [4, -4], [0, 0], [0, -7], [0, 0], [-3, 1], [0, 0], [0, 1], [0, 0], [-1, 1], [0, 0], [1, 0], [0, 0], [0, 0], [0, 0], [-2, 2], [0, 0], [0, -5], [0, 0], [2, -3], [0, 0], [0, -1], [0, 0], [5, -5], [0, 0], [5, 0], [0, 0], [-12, 0], [0, 0], [-1, 1], [0, 0], [0, -11], [0, 0], [-3, 8], [0, 0], [0, 4], [0, 0], [9, -9], [0, 0], [5, 0], [0, 0], [7, 0], [0, 0], [4, -4], [0, 0], [0, -4], [0, 0], [2, -3], [0, 0], [0, 5], [0, 0], [-12, 12], [0, 0], [-1, 0], [0, 0], [-2, 0], [0, 0], [-10, 10], [0, 0], [0, -1], [0, 0], [-15, 5], [0, 0], [0, -12], [0, 0], [-1, 1], [0, 0], [12, 0], [0, 0], [-4, 0], [0, 0], [0, 0], [0, 0], [0, -14], [0, 0], [-5, -10], [0, 0], [0, -2], [0, 0], [-7, 7], [0, 0], [-8, 0], [0, 0], [5, 0], [0, 0]], 'ap': [[0, 0], [-1, 1], [0, -1], [1, 2], [-5, 5], [-5, 0], [4, -4], [0, -7], [0, 1], [0, 0], [-2, 2], [0, -1], [5, 0], [-12, 0], [0, -11], [9, -9], [4, -4], [0, -4], [-12, 12], [-2, 0], [-10, 10], [0, -12], [12, 0], [0, -14], [-8, 0], [0, 0], [0, 8], [0, -2], [2, -2], [-14, 0], [-9, 0], [0, -9], [2, -2], [4, 0], [0, -12], [14, -14], [-11, 11], [0, -24], [-11, 0], [0, 13], [-23, 23], [20, 0], [0, 14], [-10, 10], [-3, 0], [-4, 4], [-17, 0], [12, 0], [-12, 12], [0, -10], [0, 14], [22, 0], [-15, 15], [-1, 0], [0, 16], [0, 0], [24, -24], [0, 0], [-14, 14], [7, 0], [-10, 10], [9, 0], [-8, 0], [8, -8], [0, -16], [0, 22], [0, 31], [-16, 0], [-18, 18], [-4, 0], [-24, 24], [0, -20], [7, -7], [0, 22], [-1, 0], [0, 21], [-18, 18], [0, 14], [0, 21], [-10, 10], [-15, 0], [10, 0], [12, -12], [24, 0], [0, -40], [0, -28], [-29, 0], [0, 14], [-4, 0], [19, 0], [0, -20], [18, -18], [0, 0], [36, 0], [0, 40], [20, 0], [0, 10], [33, -33], [0, -22], [0, -2], [-28, 0], [-37, 37], [-18, 18], [0, -39], [40, -40], [-26, 26], [30, 0], [0, -36], [-10, 10], [-10, 0], [0, -27], [43, -43], [-8, 0], [25, -25], [-6, 0], [-21, 21], [-34, 0], [-23, 23], [0, 19], [20, 0], [40, -40], [-4, 0], [0, -33], [-4, 4], [0, 28], [30, 0], [0, -28], [0, -6], [3, 0], [0, -9], [-15, 15], [-15, 0], [0, -50], [-34, 0], [0, 37], [-5, 0], [5, -5], [2, -2], [-54, 0], [-25, 25], [-21, 0], [0, -10], [40, -40], [6, 0], [52, -52], [-12, 0], [-11, 0], [-2, 2], [0, -4], [0, 45], [0, 37], [3, 0], [50, 0], [0, -44], [-18, 18], [-30, 0], [0, 28], [0, -19], [0, 0], [6, -6], [0, -42], [12, 0], [-4, 0], [0, 15], [30, -30], [-25, 25], [-38, 38], [22, -22], [-37, 0], [0, -63], [4, -4], [-34, 0], [0, 14], [-44, 44], [-40, 40], [-2, 0], [-5, 0], [-30, 30], [19, 0], [0, 54], [0, -17], [5, 0], [-11, 0], [0, -38], [-47, 47], [4, -4], [5, -5], [-16, 16], [0, 7], [14, -14], [0, -26], [-26, 0], [0, -17], [0, 14], [48, -48], [12, -12], [43, -43], [0, -10], [18, 0], [0, -36], [-48, 48], [-30, 0], [0, -26], [-21, 21], [40, 0], [47, -47], [0, 48], [0, 48], [-17, 0], [3, -3], [0, -4], [-30, 0], [-16, 0], [0, 18], [24, -24], [0, -55], [17, -17], [-11, 11], [0, -37], [37, 0], [0, 52], [6, 0], [0, 39], [0, 1], [-8, 0], [10, 0], [0, -26], [36, -36], [0, 55], [0, 60], [41, -41], [-7, 7], [-30, 0], [-15, 15], [-74, 0], [-16, 16], [0, 62], [0, -35], [47, 0], [22, 0], [-12, 12], [0, 43], [-48, 48], [0, 34], [26, 0], [0, -14], [31, 0], [51, -51], [4, -4], [3, 0], [-2, 0], [0, -69], [45, -45], [71, 0], [-30, 30], [0, -27], [-2, 2], [30, -30], [-33, 0], [0, -44], [25, -25], [2, 0], [-46, 46], [-2, 0], [-16, 16], [0, 3], [-60, 0], [9, 0], [-2, 0], [51, -51], [0, 8], [22, -22], [-30, 30], [0, -72], [-30, 0], [0, 47], [0, 4], [28, -28], [0, -1], [0, -23], [-9, 9], [-4, 4], [-65, 0], [-8, 0], [0, -46], [0, -84], [-56, 56], [41, 0], [28, -28], [-51, 0], [56, -56], [58, -58], [0, -20], [57, 0], [45, 0], [80, -80], [0, -22], [-42, 0], [0, -59], [62, 0], [0, 28], [0, -25], [-34, 34]], 'char_orbit_index': 33, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 13512997938923152, 'hecke_ring_character_values': [[1471, [1, 0]], [421, [1, 0]], [1121, [1, 0]], [337, [1, 0]], [241, [0, -1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '1680.2.bg.d', 'level': 1680, 'maxp': 1999, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 6720, 'analytic_conductor': 13.414867539575104, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 33, 'char_orbit_label': 'bg', 'char_order': 3, 'char_parity': 1, 'char_values': [1680, 3, [1471, 421, 1121, 337, 241], [3, 3, 3, 3, 1]], 'conrey_index': 961, 'cusp_dim': 720, 'dim': 64, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 13, 17], 'hecke_orbit_code': 2199056811664, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 6, 6], 'label': '1680.2.bg', 'level': 1680, '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, 3, 5, 7], 'level_radical': 210, 'mf_dim': 816, 'mf_new_dim': 64, 'num_forms': 22, 'prim_orbit_index': 3, 'relative_dim': 32, 'sturm_bound': 768, 'trace_bound': 7, 'trace_display': [0, 4, 0, 4], 'traces': [64, 0, 4, 0, 0, 0, 4, 0, -32, 0, -8, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, -8, 0, -32, 0, -8, 0, -32, 0, -4, 0, 0, 0, 0, 0, 16, 0, -4, 0, -16, 0, 24, 0, 0, 0, 0, 0, 24, 0, 0, 0, 32, 0, 32, 0, 16, 0, 16, 0, 16, 0, 4, 0, 8, 0, -12, 0, 0, 0, -16, 0, -8, 0, 4, 0, -16, 0, -12, 0, -32, 0, 0, 0, 0, 0, -24, 0, -16, 0, -44, 0, 0, 0, 0, 0, -32, 0, 16, 0, -32, 0, -20, 0, 0, 0, 32, 0, 16, 0, 8, 0, -64, 0, 24, 0, 0, 0, 88, 0, 8, 0, 24, 0, 0, 0, 24, 0, -8, 0, -24, 0, -32, 0, 0, 0, 32, 0, -72, 0, -32, 0, 0, 0, 0, 0, 4, 0, 16, 0, 48, 0, 0, 0, -32, 0, 16, 0, 0, 0, 24, 0, 48, 0, 0, 0, -80, 0, 128, 0, -4, 0, 16, 0, -8, 0, -16, 0, -32, 0, 64, 0, -112, 0, -8, 0, 72, 0, 0, 0, -56, 0, -8, 0, -48, 0, -32, 0, 0, 0, -24, 0, -16, 0, 0, 0, -8, 0, -16, 0, -48, 0, 16, 0, -24, 0, 0, 0, -4, 0, -16, 0, 192, 0, 64, 0, 56, 0, -32, 0, 0, 0, 16, 0, 0, 0, 0, 0, -96, 0, 40, 0, 4, 0, 32, 0, 92, 0, -16, 0, 160, 0, -96, 0, -24, 0, 32, 0, -36, 0, 16, 0, -8, 0, -16, 0, 0, 0, 64, 0, 32, 0, 32, 0, -8, 0, 32, 0, 8, 0, -16, 0, 20, 0, 0, 0, -80, 0, -80, 0, 80, 0, -64, 0, 48, 0, 0, 0, -152, 0, 80, 0, 0, 0, -16, 0, -136, 0, 0, 0, -8, 0, -24, 0, 0, 0, 48, 0, -64, 0, 0, 0, 32, 0, 0, 0, -52, 0, -40, 0, -12, 0, 16, 0, 0, 0, -80, 0, -24, 0, -80, 0, 136, 0, 0, 0, -192, 0, 96, 0, 8, 0, 32, 0, 72, 0, -112, 0, -128, 0, -64, 0, -200, 0, 0, 0, -68, 0, 8, 0, -72, 0, 0, 0, 0, 0, 160, 0, 312, 0, 0, 0, 96, 0, 0, 0, -12, 0, 16, 0, -96, 0, 32, 0, 0, 0, 128, 0, 20, 0, 24, 0, 124, 0, 0, 0, 400, 0, 8, 0, 24, 0, 96, 0, 0, 0, -24, 0, 320, 0, 128, 0, 0, 0, 0, 0, 304, 0, -64, 0, 112, 0, 48, 0, 0, 0, -144, 0, -16, 0, -24, 0, -120, 0, -48, 0, 112, 0, -144, 0, -88, 0, 0, 0, -112, 0, 40, 0, 0, 0, -384, 0, -88, 0, 0, 0, 72, 0, -144, 0, 104, 0, 144, 0, 8, 0, -64, 0, 200, 0, 32, 0, -56, 0, 0, 0, -52, 0, -32, 0, -80, 0, -80, 0, -16, 0, -112, 0, 4, 0, -16, 0, -368, 0, 32, 0, 0, 0, 0, 0, -160, 0, -8, 0, -24, 0, 96, 0, -48, 0, -104, 0, -28, 0, 0, 0, -72, 0, 8, 0, -32, 0, 224, 0, -56, 0, -16, 0, -240, 0, -32, 0, -52, 0, 0, 0, -416, 0, 16, 0, 152, 0, -88, 0, 0, 0, 16, 0, 8, 0, -64, 0, -216, 0, 0, 0, -8, 0, 40, 0, 68, 0, 160, 0, 16, 0, 56, 0, 20, 0, 128, 0, 80, 0, 8, 0, 256, 0, -64, 0, 56, 0, 48, 0, 56, 0, 0, 0, -40, 0, 112, 0, 24, 0, 32, 0, -228, 0, 16, 0, 104, 0, 16, 0, 80, 0, -192, 0, -12, 0, 0, 0, -160, 0, -32, 0, 48, 0, 32, 0, -160, 0, 80, 0, 56, 0, 64, 0, 8, 0, 24, 0, -120, 0, 32, 0, -72, 0, -16, 0, 100, 0, 64, 0, 24, 0, 16, 0, 64, 0, 112, 0, -40, 0, 56, 0, -184, 0, 0, 0, -112, 0, -208, 0, 4, 0, -48, 0, 120, 0, 16, 0, -32, 0, 0, 0, 104, 0, 104, 0, 12, 0, -16, 0, 48, 0, 32, 0, -128, 0, 128, 0, 44, 0, 0, 0, 184, 0, 0, 0, -12, 0, -128, 0, -80, 0, 0, 0, 352, 0, 136, 0, 56, 0, 16, 0, -8, 0, 64, 0, 8, 0, -64, 0, 0, 0, 144, 0, 156, 0, 0, 0, 176, 0, 0, 0, 0, 0, 64, 0, 92, 0, 0, 0, 96, 0, -32, 0, 40, 0, -120, 0, 8, 0, 0, 0, 208, 0, 224, 0, 64, 0, -80, 0, -4, 0, -136, 0, 16, 0, 32, 0, 48, 0, 16, 0, 80, 0, 96, 0, 56, 0, 0, 0, 0, 0, -96, 0, -224, 0, -16, 0, -216, 0, -32, 0, 112, 0, 56, 0, 48, 0, 0, 0, 0, 0, 120, 0, 4, 0, 16, 0, -72, 0, 0, 0, -256, 0, -48, 0, -28, 0, 80, 0, -64, 0, 0, 0, -128, 0, 96, 0, 72, 0, -32, 0, -308, 0, -72, 0, -96, 0, -480, 0, 0, 0, -144, 0, -208, 0, 48, 0, 64, 0, -56, 0, -152, 0, 0, 0, 4, 0, 16, 0, 0, 0, -64, 0, -136, 0, -336, 0, 328, 0, 0, 0, -200, 0, -312, 0, -8, 0, -192, 0, 96, 0, -96, 0, -128, 0, -176, 0, 176, 0, -80, 0, -100, 0, 64, 0, -48, 0, -96, 0, 48, 0, 240, 0, -124, 0, -40, 0, 656, 0, -32, 0, -20, 0, 136, 0, 32, 0, 32, 0, 56, 0, 208, 0, 152, 0, 176, 0, -88, 0, 0, 0, 40, 0, -64, 0, 96, 0, 160, 0, 64, 0, 48, 0, 200, 0, -168, 0, 32, 0, 0, 0, 344, 0, 80, 0, 48, 0, 16, 0, -4, 0, 48, 0, -192, 0, -32, 0, 272, 0, 8, 0, 176, 0, 16, 0, -116, 0, 240, 0, -224, 0, -80, 0, -4, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 787276
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 33, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1680.2.bg.d', 'source_level': 1680, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '210.2.i.b', 'target_level': 210, 'twist_class_label': '210.2.i.b', 'twist_class_level': 210, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 787277
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 33, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1680.2.bg.d', 'source_level': 1680, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '210.2.i.b', 'target_level': 210, 'twist_class_label': '210.2.i.b', 'twist_class_level': 210, 'twisting_char_label': '28.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 787278
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 33, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1680.2.bg.d', 'source_level': 1680, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '630.2.k.g', 'target_level': 630, 'twist_class_label': '210.2.i.b', 'twist_class_level': 210, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 787279
{'conductor': 84, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 33, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1680.2.bg.d', 'source_level': 1680, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '630.2.k.g', 'target_level': 630, 'twist_class_label': '210.2.i.b', 'twist_class_level': 210, 'twisting_char_label': '84.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 787280
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 33, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1680.2.bg.d', 'source_level': 1680, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '1050.2.i.p', 'target_level': 1050, 'twist_class_label': '210.2.i.b', 'twist_class_level': 210, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 787281
{'conductor': 140, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 33, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1680.2.bg.d', 'source_level': 1680, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '1050.2.i.p', 'target_level': 1050, 'twist_class_label': '210.2.i.b', 'twist_class_level': 210, 'twisting_char_label': '140.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 787282
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 33, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1680.2.bg.d', 'source_level': 1680, 'target_char_orbit': 15, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1050.2.o.g', 'target_level': 1050, 'twist_class_label': '210.2.i.b', 'twist_class_level': 210, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 787283
{'conductor': 140, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 33, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1680.2.bg.d', 'source_level': 1680, 'target_char_orbit': 15, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1050.2.o.g', 'target_level': 1050, 'twist_class_label': '210.2.i.b', 'twist_class_level': 210, 'twisting_char_label': '140.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 787284
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 33, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1680.2.bg.d', 'source_level': 1680, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '1470.2.a.l', 'target_level': 1470, 'twist_class_label': '210.2.i.b', 'twist_class_level': 210, 'twisting_char_label': '28.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 787285
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 33, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1680.2.bg.d', 'source_level': 1680, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '1470.2.a.o', 'target_level': 1470, 'twist_class_label': '210.2.i.b', 'twist_class_level': 210, 'twisting_char_label': '28.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 787286
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 33, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1680.2.bg.d', 'source_level': 1680, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1470.2.i.e', 'target_level': 1470, 'twist_class_label': '210.2.i.b', 'twist_class_level': 210, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 787287
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 33, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1680.2.bg.d', 'source_level': 1680, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1470.2.i.e', 'target_level': 1470, 'twist_class_label': '210.2.i.b', 'twist_class_level': 210, 'twisting_char_label': '28.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 787288
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 33, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1680.2.bg.d', 'source_level': 1680, 'target_char_orbit': 33, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1680.2.bg.d', 'target_level': 1680, 'twist_class_label': '210.2.i.b', 'twist_class_level': 210, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 787289
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 33, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1680.2.bg.d', 'source_level': 1680, 'target_char_orbit': 33, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1680.2.bg.d', 'target_level': 1680, 'twist_class_label': '210.2.i.b', 'twist_class_level': 210, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 787290
{'conductor': 84, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 33, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1680.2.bg.d', 'source_level': 1680, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '4410.2.a.j', 'target_level': 4410, 'twist_class_label': '210.2.i.b', 'twist_class_level': 210, 'twisting_char_label': '84.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 787291
{'conductor': 84, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 33, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1680.2.bg.d', 'source_level': 1680, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '4410.2.a.u', 'target_level': 4410, 'twist_class_label': '210.2.i.b', 'twist_class_level': 210, 'twisting_char_label': '84.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 787292
{'conductor': 140, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 33, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1680.2.bg.d', 'source_level': 1680, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '7350.2.a.a', 'target_level': 7350, 'twist_class_label': '210.2.i.b', 'twist_class_level': 210, 'twisting_char_label': '140.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 787293
{'conductor': 140, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 33, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1680.2.bg.d', 'source_level': 1680, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '7350.2.a.u', 'target_level': 7350, 'twist_class_label': '210.2.i.b', 'twist_class_level': 210, 'twisting_char_label': '140.p', 'twisting_char_orbit': 16, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2125900
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13512997938923152, 'p': 2}
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id: 2125901
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 13512997938923152, 'p': 3}
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id: 2125902
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 13512997938923152, 'p': 5}
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id: 2125903
{'charpoly_factorization': [[[7, -4, 1], 1]], 'hecke_orbit_code': 13512997938923152, 'p': 7}
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id: 2125904
{'charpoly_factorization': [[[25, 5, 1], 1]], 'hecke_orbit_code': 13512997938923152, 'p': 11}
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id: 2125905
{'charpoly_factorization': [[[5, 1], 2]], 'hecke_orbit_code': 13512997938923152, 'p': 13}
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id: 2125906
{'charpoly_factorization': [[[16, -4, 1], 1]], 'hecke_orbit_code': 13512997938923152, 'p': 17}
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id: 2125907
{'charpoly_factorization': [[[49, 7, 1], 1]], 'hecke_orbit_code': 13512997938923152, 'p': 19}
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id: 2125908
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 13512997938923152, 'p': 23}
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id: 2125909
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13512997938923152, 'p': 29}
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id: 2125910
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 13512997938923152, 'p': 31}
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id: 2125911
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 13512997938923152, 'p': 37}
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id: 2125912
{'charpoly_factorization': [[[-5, 1], 2]], 'hecke_orbit_code': 13512997938923152, 'p': 41}
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id: 2125913
{'charpoly_factorization': [[[12, 1], 2]], 'hecke_orbit_code': 13512997938923152, 'p': 43}
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id: 2125914
{'charpoly_factorization': [[[121, 11, 1], 1]], 'hecke_orbit_code': 13512997938923152, 'p': 47}
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id: 2125915
{'charpoly_factorization': [[[81, -9, 1], 1]], 'hecke_orbit_code': 13512997938923152, 'p': 53}
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id: 2125916
{'charpoly_factorization': [[[16, -4, 1], 1]], 'hecke_orbit_code': 13512997938923152, 'p': 59}
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id: 2125917
{'charpoly_factorization': [[[16, 4, 1], 1]], 'hecke_orbit_code': 13512997938923152, 'p': 61}
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id: 2125918
{'charpoly_factorization': [[[144, 12, 1], 1]], 'hecke_orbit_code': 13512997938923152, 'p': 67}
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id: 2125919
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 13512997938923152, 'p': 71}
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id: 2125920
{'charpoly_factorization': [[[100, 10, 1], 1]], 'hecke_orbit_code': 13512997938923152, 'p': 73}
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id: 2125921
{'charpoly_factorization': [[[144, 12, 1], 1]], 'hecke_orbit_code': 13512997938923152, 'p': 79}
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id: 2125922
{'charpoly_factorization': [[[-12, 1], 2]], 'hecke_orbit_code': 13512997938923152, 'p': 83}
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id: 2125923
{'charpoly_factorization': [[[196, 14, 1], 1]], 'hecke_orbit_code': 13512997938923152, 'p': 89}
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id: 2125924
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 13512997938923152, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 33, 'hecke_orbit': 4, 'label': '1680.2.bg.d', 'level': 1680, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 37687069
{'hecke_orbit_code': 13512997938923152, 'n': 1, 'trace_an': 2}
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