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mf_newforms • Show schema
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{'Nk2': 7200, 'analytic_conductor': 14.373072363830468, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 40, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [1800, 2, [1351, 901, 1001, 577], [2, 1, 2, 1]], 'cm_discs': [], 'conrey_index': 1549, 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [4, 0, 1]], [11, [16, 0, 1]], [13, [0, 1]], [37, [4, 1]], [41, [10, 1]], [53, [-10, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007405446727432, 'hecke_ring_generator_nbound': 2, '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, 40, 6, 1, 2, 0]], 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [-1, -1], [0, 0], [0, 2], [0, 0], [0, 0], [0, 2], [2, -2], [0, 0], [0, 0], [0, -4], [0, 0], [0, 0], [2, -2], [0, 0], [-4, 0], [0, 6], [0, 0], [0, -4], [0, 0], [0, 0], [-4, 4], [0, -4], [0, 0], [0, 0], [0, 0], [0, 0], [-4, 0], [0, -6], [0, 0], [10, 0], [4, 4], [0, 0], [6, -6], [0, 0], [0, 0], [-4, 0], [-4, 4], [0, 0], [0, 0], [-10, 0], [0, 0], [-4, 0], [8, 0], [0, 0], [-4, 4], [0, 4], [0, 0], [3, 0], [0, 0], [0, 0], [0, 0], [10, 0], [0, 0], [0, 0], [4, 4], [0, 0], [-6, 6], [0, 8], [0, 0], [0, -8], [-10, -10], [0, 0], [0, -8], [0, 0], [0, 0], [12, 0], [-12, 0], [0, 0], [0, 0], [4, 0], [0, 0], [0, -10], [4, 4], [0, 0], [8, 0], [8, 0], [0, 0], [14, 0], [0, 0], [0, 0], [10, 10], [0, 0], [0, 0], [0, 0], [4, 4], [0, 0], [-8, -8], [14, 0], [0, 0], [0, 0], [8, 0], [0, 0], [4, -4], [0, 0], [0, 0], [0, -10], [-3, -3], [0, 0], [0, 0]], 'ap': [[-1, -1], [0, 0], [0, 0], [0, 2], [0, -4], [0, 0], [0, 6], [0, -4], [0, -4], [0, -6], [10, 0], [-4, 0], [-10, 0], [-4, 0], [0, 4], [10, 0], [0, 8], [0, -8], [12, 0], [4, 0], [0, -10], [14, 0], [0, 0], [14, 0], [0, -10], [0, -14], [0, 2], [4, 0], [0, -4], [0, 6], [0, -6], [0, 0], [0, 2], [0, 4], [0, -6], [-2, 0], [-20, 0], [20, 0], [0, -24], [10, 0], [0, 0], [0, -20], [8, 0], [0, 14], [-10, 0], [6, 0], [0, 12], [0, -10], [0, 0], [0, 4], [0, -6], [16, 0], [-30, 0], [0, -12], [0, 2], [0, 0], [0, 10], [-2, 0], [16, 0], [10, 0], [-4, 0], [2, 0], [-28, 0], [-8, 0], [0, -6], [18, 0], [0, 4], [0, 30], [16, 0], [0, -8], [0, -18], [12, 0], [0, -18], [20, 0], [0, 36], [0, 24], [0, 10], [-20, 0], [-30, 0], [6, 0], [0, -4], [0, 20], [36, 0], [0, -14], [-2, 0], [-16, 0], [-18, 0], [0, 18], [0, 34], [0, 22], [-8, 0], [4, 0], [0, -30], [0, 40], [0, 20], [0, -12], [0, 18], [6, 0], [-20, 0], [0, -44], [4, 0], [-42, 0], [0, 0], [2, 0], [0, -20], [0, -2], [12, 0], [0, 22], [12, 0], [-14, 0], [0, 2], [-20, 0], [0, 6], [0, -20], [-18, 0], [-14, 0], [-12, 0], [0, -12], [-30, 0], [0, 0], [0, 32], [0, 2], [-38, 0], [-48, 0], [0, 12], [0, 22], [0, -44], [-36, 0], [0, -14], [-24, 0], [0, -12], [0, -48], [26, 0], [8, 0], [-10, 0], [6, 0], [-6, 0], [-28, 0], [30, 0], [10, 0], [0, -4], [0, 10], [0, -42], [-4, 0], [0, 44], [4, 0], [-44, 0], [0, -6], [0, 44], [0, 24], [-44, 0], [6, 0], [-28, 0], [0, -16], [52, 0], [48, 0], [26, 0], [46, 0], [0, 22], [0, 26], [-36, 0], [0, -26], [0, 46], [0, -12], [0, 22], [0, -32], [2, 0], [28, 0], [-46, 0], [-42, 0], [0, -32], [0, -8], [48, 0], [0, -14], [14, 0], [-58, 0], [0, 4], [0, 6], [0, -30], [0, -40], [0, 62], [0, -4], [8, 0], [0, 14], [0, -40], [0, 50], [0, 0], [60, 0], [-22, 0], [16, 0], [0, -26], [36, 0], [0, -44], [0, 18], [-36, 0], [0, 18], [-10, 0], [16, 0], [0, -6], [0, 8], [0, -42], [-58, 0], [-8, 0], [34, 0], [0, 44], [42, 0], [34, 0], [0, 0], [54, 0], [0, -36], [0, -30], [0, -18], [0, 26], [-4, 0], [36, 0], [-22, 0], [0, 22], [42, 0], [0, 24], [-30, 0], [0, -28], [-34, 0], [-66, 0], [0, 6], [0, 0], [0, 24], [0, 42], [36, 0], [0, -18], [0, 0], [40, 0], [0, 60], [-26, 0], [-38, 0], [4, 0], [0, -60], [34, 0], [30, 0], [0, -60], [-52, 0], [-16, 0], [0, 36], [0, 62], [0, 0], [0, -66], [-60, 0], [0, 70], [0, 0], [0, -68], [0, 56], [48, 0], [-26, 0], [0, 4], [-6, 0], [78, 0], [0, 8], [0, 44], [-12, 0], [22, 0], [0, -38], [0, 62], [44, 0], [0, 28], [44, 0], [0, -26], [0, 44], [0, 38], [-30, 0], [60, 0], [46, 0], [0, 64], [-68, 0], [0, 18], [6, 0], [0, -38], [0, -38], [-32, 0], [0, -40], [82, 0], [0, -24], [0, -36], [-30, 0], [0, 12], [0, 48], [12, 0], [24, 0], [0, 30], [34, 0], [-14, 0], [-54, 0], [0, 50], [-28, 0], [0, 66], [0, -56], [28, 0], [0, 30], [38, 0], [-6, 0], [0, 28], [28, 0], [0, -22], [-42, 0], [-74, 0]], 'char_orbit_index': 4, 'field_poly': [1, 0, 1], 'hecke_orbit_code': 9007405446727432, 'hecke_ring_character_values': [[1351, [1, 0]], [901, [-1, 0]], [1001, [1, 0]], [577, [-1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '1800.2.d.c', 'level': 1800, 'maxp': 1999, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 7200, 'analytic_conductor': 14.373072363830468, 'char_conductor': 40, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [1800, 2, [1351, 901, 1001, 577], [2, 1, 2, 1]], 'conrey_index': 1549, 'cusp_dim': 336, 'dim': 88, 'eis_dim': 48, 'eis_new_dim': 4, 'hecke_cutter_primes': [7, 11, 13, 37, 41, 53], 'hecke_orbit_code': 206191986440, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 6, 6, 8, 8, 16], 'label': '1800.2.d', 'level': 1800, 'level_is_powerful': True, '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], 'level_radical': 30, 'mf_dim': 384, 'mf_new_dim': 92, 'num_forms': 21, 'prim_orbit_index': 6, 'relative_dim': 88, 'sturm_bound': 720, 'trace_bound': 14, 'trace_display': [0, 0, 0, 0], 'traces': [88, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -20, 0, -22, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, 0, -8, 0, 0, -72, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 70, 0, 0, 0, 0, 0, 0, 8, 0, 0, 32, 0, 62, 0, 0, 40, 0, 0, 0, 0, 0, 0, 104, 0, 0, -8, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, -104, 0, 0, 40, 0, -88, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, -54, 0, -138, 0, 0, 0, 0, 0, 0, 0, 0, 0, -78, 0, 0, 0, 0, 56, 0, 0, -72, 0, 0, 0, 0, 0, 0, 64, 0, 0, 78, 0, -26, 0, 0, 88, 0, 0, 0, 0, 0, 0, 114, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 80, 0, 0, -24, 0, 26, 0, 0, -32, 0, 0, 0, 0, 0, 0, 136, 0, 0, 24, 0, 0, 0, 0, 26, 0, 0, 0, 0, 0, 0, 0, 0, 0, -104, 0, 46, 0, 0, 0, 0, 0, 0, 0, 0, 0, -276, 0, 0, -104, 0, 80, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, -54, 0, 0, 0, 0, 0, 0, 0, 0, 0, -204, 0, 0, 0, 0, 32, 0, 0, 34, 0, 0, 0, 0, 0, 0, 40, 0, 0, 56, 0, -160, 0, 0, -96, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, -70, 0, 0, 0, 0, 0, 0, -40, 0, 0, 148, 0, 104, 0, 0, 72, 0, 0, 0, 0, 0, 0, 102, 0, 0, -48, 0, 0, 0, 0, 272, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, -190, 0, 0, 248, 0, -88, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, -158, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, -338, 0, 0, 0, 0, 16, 0, 0, -32, 0, 0, 0, 0, 0, 0, -104, 0, 0, 48, 0, -264, 0, 0, 168, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 248, 0, 0, 0, 0, 0, 0, 8, 0, 0, 28, 0, 64, 0, 0, -88, 0, 0, 0, 0, 0, 0, 164, 0, 0, -72, 0, 0, 0, 0, -140, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 212, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, -368, 0, -16, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, 0, 0, 116, 0, -104, 0, 0, 0, 0, 0, 0, 0, 0, 0, -200, 0, 0, 0, 0, -280, 0, 0, -452, 0, 0, 0, 0, 0, 0, -144, 0, 0, 204, 0, -96, 0, 0, -120, 0, 0, 0, 0, 0, 0, 402, 0, 0, 0, 0, 0, 0, 0, -270, 0, 0, 0, 0, 0, 0, -184, 0, 0, -28, 0, -10, 0, 0, 144, 0, 0, 0, 0, 0, 0, 286, 0, 0, 80, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, -66, 0, 440, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 440, 0, -32, 0, 0, -208, 0, 0, 0, 0, 0, 0, 0, 0, 0, -222, 0, -56, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, -112, 0, 0, 192, 0, 0, 0, 0, 0, 0, 232, 0, 0, -136, 0, 34, 0, 0, -120, 0, 0, 0, 0, 0, 0, 274, 0, 0, 0, 0, 0, 0, 0, -14, 0, 0, 0, 0, 0, 0, 88, 0, 0, 226, 0, 146, 0, 0, -288, 0, 0, 0, 0, 0, 0, 524, 0, 0, 0, 0, 0, 0, 0, 258, 0, 0, 0, 0, 0, 0, 0, 0, 0, 46, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, -302, 0, 0, -232, 0, 112, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, -92, 0, -264, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 152, 0, 0, -56, 0, 0, 0, 0, 0, 0, 16, 0, 0, 208, 0, -72, 0, 0, 48, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 662, 0, 0, 0, 0, 0, 0, -328, 0, 0, -156, 0, 40, 0, 0, 488, 0, 0, 0, 0, 0, 0, 244, 0, 0, 152, 0, 0, 0, 0, -400, 0, 0, 0, 0, 0, 0, 0, 0, 0, -376, 0, -104, 0, 0, 0, 0, 0, 0, 0, 0, 0, -498, 0, 0, 288, 0, 120, 0, 0, 58, 0, 0, 0, 0, 0, 0, 0, 0, 0, 92, 0, -298, 0, 0, 0, 0, 0, 0, 0, 0, 0, -314, 0, 0, 0, 0, 552, 0, 0, -416, 0, 0, 0, 0, 0, 0, -216, 0, 0, 24, 0, -10, 0, 0, -160, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -286, 0, 0, 0, 0, 0, 0, 64, 0, 0, 142, 0, 408, 0, 0, 64, 0, 0, 0, 0, 0, 0, -112, 0, 0, -168, 0, 0, 0, 0, -276, 0, 0, 0, 0, 0, 0, 0, 0, 0, 260, 0, 324, 0, 0, 0, 0, 0, 0, 0, 0, 0, -200, 0, 0, -696, 0, -296, 0, 0, -678, 0, 0, 0, 0, 0, 0, 0, 0, 0, -364, 0, 120, 0, 0, 0, 0, 0, 0, 0, 0, 0, -440, 0, 0, 0, 0, -472, 0, 0, 784, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 815923
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1800.2.d.c', 'source_level': 1800, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '120.2.k.a', 'target_level': 120, 'twist_class_label': '120.2.k.a', 'twist_class_level': 120, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 815924
{'conductor': 120, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1800.2.d.c', 'source_level': 1800, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '120.2.k.a', 'target_level': 120, 'twist_class_label': '120.2.k.a', 'twist_class_level': 120, 'twisting_char_label': '120.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 815925
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1800.2.d.c', 'source_level': 1800, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '360.2.k.b', 'target_level': 360, 'twist_class_label': '120.2.k.a', 'twist_class_level': 120, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 815926
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1800.2.d.c', 'source_level': 1800, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '360.2.k.b', 'target_level': 360, 'twist_class_label': '120.2.k.a', 'twist_class_level': 120, 'twisting_char_label': '40.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 815927
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1800.2.d.c', 'source_level': 1800, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '480.2.k.a', 'target_level': 480, 'twist_class_label': '120.2.k.a', 'twist_class_level': 120, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 815928
{'conductor': 120, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1800.2.d.c', 'source_level': 1800, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '480.2.k.a', 'target_level': 480, 'twist_class_label': '120.2.k.a', 'twist_class_level': 120, 'twisting_char_label': '120.q', 'twisting_char_orbit': 17, 'weight': 2}
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id: 815929
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1800.2.d.c', 'source_level': 1800, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '600.2.d.a', 'target_level': 600, 'twist_class_label': '120.2.k.a', 'twist_class_level': 120, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 815930
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1800.2.d.c', 'source_level': 1800, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '600.2.d.a', 'target_level': 600, 'twist_class_label': '120.2.k.a', 'twist_class_level': 120, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 815931
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1800.2.d.c', 'source_level': 1800, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '600.2.d.d', 'target_level': 600, 'twist_class_label': '120.2.k.a', 'twist_class_level': 120, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 815932
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1800.2.d.c', 'source_level': 1800, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '600.2.d.d', 'target_level': 600, 'twist_class_label': '120.2.k.a', 'twist_class_level': 120, 'twisting_char_label': '120.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 815933
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1800.2.d.c', 'source_level': 1800, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '600.2.k.a', 'target_level': 600, 'twist_class_label': '120.2.k.a', 'twist_class_level': 120, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 815934
{'conductor': 120, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1800.2.d.c', 'source_level': 1800, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '600.2.k.a', 'target_level': 600, 'twist_class_label': '120.2.k.a', 'twist_class_level': 120, 'twisting_char_label': '120.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 815935
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1800.2.d.c', 'source_level': 1800, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1440.2.k.a', 'target_level': 1440, 'twist_class_label': '120.2.k.a', 'twist_class_level': 120, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 815936
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1800.2.d.c', 'source_level': 1800, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1440.2.k.a', 'target_level': 1440, 'twist_class_label': '120.2.k.a', 'twist_class_level': 120, 'twisting_char_label': '40.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 815937
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1800.2.d.c', 'source_level': 1800, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1800.2.d.c', 'target_level': 1800, 'twist_class_label': '120.2.k.a', 'twist_class_level': 120, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 815938
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1800.2.d.c', 'source_level': 1800, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1800.2.d.c', 'target_level': 1800, 'twist_class_label': '120.2.k.a', 'twist_class_level': 120, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 815939
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1800.2.d.c', 'source_level': 1800, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1800.2.d.h', 'target_level': 1800, 'twist_class_label': '120.2.k.a', 'twist_class_level': 120, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 815940
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1800.2.d.c', 'source_level': 1800, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1800.2.d.h', 'target_level': 1800, 'twist_class_label': '120.2.k.a', 'twist_class_level': 120, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 815941
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1800.2.d.c', 'source_level': 1800, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1800.2.k.g', 'target_level': 1800, 'twist_class_label': '120.2.k.a', 'twist_class_level': 120, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 815942
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1800.2.d.c', 'source_level': 1800, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1800.2.k.g', 'target_level': 1800, 'twist_class_label': '120.2.k.a', 'twist_class_level': 120, 'twisting_char_label': '40.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 815943
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1800.2.d.c', 'source_level': 1800, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2400.2.d.a', 'target_level': 2400, 'twist_class_label': '120.2.k.a', 'twist_class_level': 120, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 815944
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1800.2.d.c', 'source_level': 1800, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2400.2.d.a', 'target_level': 2400, 'twist_class_label': '120.2.k.a', 'twist_class_level': 120, 'twisting_char_label': '120.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 815945
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1800.2.d.c', 'source_level': 1800, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2400.2.d.d', 'target_level': 2400, 'twist_class_label': '120.2.k.a', 'twist_class_level': 120, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 815946
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1800.2.d.c', 'source_level': 1800, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2400.2.d.d', 'target_level': 2400, 'twist_class_label': '120.2.k.a', 'twist_class_level': 120, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 815947
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1800.2.d.c', 'source_level': 1800, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2400.2.k.b', 'target_level': 2400, 'twist_class_label': '120.2.k.a', 'twist_class_level': 120, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 815948
{'conductor': 120, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1800.2.d.c', 'source_level': 1800, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2400.2.k.b', 'target_level': 2400, 'twist_class_label': '120.2.k.a', 'twist_class_level': 120, 'twisting_char_label': '120.q', 'twisting_char_orbit': 17, 'weight': 2}
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id: 815949
{'conductor': 240, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1800.2.d.c', 'source_level': 1800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '3840.2.a.d', 'target_level': 3840, 'twist_class_label': '120.2.k.a', 'twist_class_level': 120, 'twisting_char_label': '240.bb', 'twisting_char_orbit': 28, 'weight': 2}
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id: 815950
{'conductor': 240, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1800.2.d.c', 'source_level': 1800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '3840.2.a.m', 'target_level': 3840, 'twist_class_label': '120.2.k.a', 'twist_class_level': 120, 'twisting_char_label': '240.bd', 'twisting_char_orbit': 30, 'weight': 2}
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id: 815951
{'conductor': 240, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1800.2.d.c', 'source_level': 1800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '3840.2.a.r', 'target_level': 3840, 'twist_class_label': '120.2.k.a', 'twist_class_level': 120, 'twisting_char_label': '240.z', 'twisting_char_orbit': 26, 'weight': 2}
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id: 815952
{'conductor': 240, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1800.2.d.c', 'source_level': 1800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '3840.2.a.w', 'target_level': 3840, 'twist_class_label': '120.2.k.a', 'twist_class_level': 120, 'twisting_char_label': '240.bf', 'twisting_char_orbit': 32, 'weight': 2}
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id: 815953
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1800.2.d.c', 'source_level': 1800, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '7200.2.d.e', 'target_level': 7200, 'twist_class_label': '120.2.k.a', 'twist_class_level': 120, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 815954
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1800.2.d.c', 'source_level': 1800, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '7200.2.d.e', 'target_level': 7200, 'twist_class_label': '120.2.k.a', 'twist_class_level': 120, 'twisting_char_label': '40.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 815955
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1800.2.d.c', 'source_level': 1800, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '7200.2.d.f', 'target_level': 7200, 'twist_class_label': '120.2.k.a', 'twist_class_level': 120, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 815956
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1800.2.d.c', 'source_level': 1800, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '7200.2.d.f', 'target_level': 7200, 'twist_class_label': '120.2.k.a', 'twist_class_level': 120, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 815957
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1800.2.d.c', 'source_level': 1800, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '7200.2.k.f', 'target_level': 7200, 'twist_class_label': '120.2.k.a', 'twist_class_level': 120, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 815958
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1800.2.d.c', 'source_level': 1800, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '7200.2.k.f', 'target_level': 7200, 'twist_class_label': '120.2.k.a', 'twist_class_level': 120, 'twisting_char_label': '40.k', 'twisting_char_orbit': 11, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 2216300
{'charpoly_factorization': [[[2, 2, 1], 1]], 'hecke_orbit_code': 9007405446727432, 'p': 2}
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id: 2216301
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007405446727432, 'p': 3}
-
id: 2216302
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007405446727432, 'p': 5}
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id: 2216303
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 9007405446727432, 'p': 7}
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id: 2216304
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 9007405446727432, 'p': 11}
-
id: 2216305
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007405446727432, 'p': 13}
-
id: 2216306
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 9007405446727432, 'p': 17}
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id: 2216307
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 9007405446727432, 'p': 19}
-
id: 2216308
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 9007405446727432, 'p': 23}
-
id: 2216309
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 9007405446727432, 'p': 29}
-
id: 2216310
{'charpoly_factorization': [[[-10, 1], 2]], 'hecke_orbit_code': 9007405446727432, 'p': 31}
-
id: 2216311
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 9007405446727432, 'p': 37}
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id: 2216312
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 9007405446727432, 'p': 41}
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id: 2216313
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 9007405446727432, 'p': 43}
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id: 2216314
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 9007405446727432, 'p': 47}
-
id: 2216315
{'charpoly_factorization': [[[-10, 1], 2]], 'hecke_orbit_code': 9007405446727432, 'p': 53}
-
id: 2216316
{'charpoly_factorization': [[[64, 0, 1], 1]], 'hecke_orbit_code': 9007405446727432, 'p': 59}
-
id: 2216317
{'charpoly_factorization': [[[64, 0, 1], 1]], 'hecke_orbit_code': 9007405446727432, 'p': 61}
-
id: 2216318
{'charpoly_factorization': [[[-12, 1], 2]], 'hecke_orbit_code': 9007405446727432, 'p': 67}
-
id: 2216319
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 9007405446727432, 'p': 71}
-
id: 2216320
{'charpoly_factorization': [[[100, 0, 1], 1]], 'hecke_orbit_code': 9007405446727432, 'p': 73}
-
id: 2216321
{'charpoly_factorization': [[[-14, 1], 2]], 'hecke_orbit_code': 9007405446727432, 'p': 79}
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id: 2216322
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007405446727432, 'p': 83}
-
id: 2216323
{'charpoly_factorization': [[[-14, 1], 2]], 'hecke_orbit_code': 9007405446727432, 'p': 89}
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id: 2216324
{'charpoly_factorization': [[[100, 0, 1], 1]], 'hecke_orbit_code': 9007405446727432, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 4, 'hecke_orbit': 3, 'label': '1800.2.d.c', 'level': 1800, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 30217453
{'hecke_orbit_code': 9007405446727432, 'n': 1, 'trace_an': 2}
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id: 30217454
{'hecke_orbit_code': 9007405446727432, 'n': 2, 'trace_an': -2}
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id: 30217455
{'hecke_orbit_code': 9007405446727432, 'n': 3, 'trace_an': 0}
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id: 30217456
{'hecke_orbit_code': 9007405446727432, 'n': 4, 'trace_an': 0}
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id: 30217457
{'hecke_orbit_code': 9007405446727432, 'n': 5, 'trace_an': 0}
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id: 30217458
{'hecke_orbit_code': 9007405446727432, 'n': 6, 'trace_an': 0}
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id: 30217459
{'hecke_orbit_code': 9007405446727432, 'n': 7, 'trace_an': 0}
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id: 30217460
{'hecke_orbit_code': 9007405446727432, 'n': 8, 'trace_an': 4}
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id: 30217461
{'hecke_orbit_code': 9007405446727432, 'n': 9, 'trace_an': 0}
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id: 30217462
{'hecke_orbit_code': 9007405446727432, 'n': 10, 'trace_an': 0}
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id: 30217463
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