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{'Nk2': 15876, 'analytic_conductor': 31.692624562246184, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [7, 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': [3969, 1, [2108, 3727], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 5, 'field_disc': 574857, 'field_disc_factorization': [[3, 4], [47, 1], [151, 1]], 'field_poly': [-3, 3, 9, -5, -2, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [3, 3, -9, -5, 2, 1]], [5, [3, 18, -18, -5, 4, 1]], [11, [15, 12, -15, -8, 4, 1]], [13, [-5, -23, 13, 13, -8, 1]]], 'hecke_orbit': 26, 'hecke_orbit_code': 112589990717820801, 'hecke_ring_generator_nbound': 2, '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': False, 'label': '3969.2.a.z', 'level': 3969, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 7], 'level_radical': 21, 'minimal_twist': '63.2.g.b', 'nf_label': '5.5.574857.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{2}+(1+\\beta _{2})q^{4}+(-1-\\beta _{4})q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 5, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3969.2.a', 'trace_display': [-2, 0, -4, 0], 'trace_hash': 365121378713617265, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0, 0], [0, -1, 0, 0, 0], [0, 0, 0, 0, 0], [1, 0, 1, 0, 0], [-1, 0, 0, 0, -1], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [-1, 0, 0, -1, 0], [0, 0, 0, 0, 0], [2, 0, 0, 1, 1], [-1, 0, 1, -1, 0], [0, 0, 0, 0, 0], [1, 1, 0, 0, -1], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, -1, 1, 1], [-3, 1, -1, 0, 0], [0, 0, 0, 0, 0], [-1, 2, -1, 1, -1], [-2, 0, -1, -2, 0], [0, 0, 0, 0, 0], [1, -1, 1, 0, 1], [0, 0, -2, 2, 1], [0, 0, 0, 0, 0], [0, 1, -1, 0, 2], [-1, -2, -1, 1, 1], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [-1, -1, 2, -1, 0], [0, 0, 0, 0, 0], [1, 0, -1, 1, 1], [-1, 3, -1, 1, -2], [0, 0, 0, 0, 0], [-2, 4, -1, 1, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, -2, 0, -2, 0], [-5, 2, -3, 1, 0], [0, 0, 0, 0, 0], [1, 1, 2, 1, 0], [0, -1, -1, 1, 2], [0, 0, 0, 0, 0], [3, -2, -1, 1, 3], [2, -1, -1, 0, -1], [0, 0, 0, 0, 0], [-4, 5, -2, -1, -3], [-4, -1, 2, 1, 1], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [-6, 3, -1, -1, -2], [0, 0, 0, 0, 0], [1, 2, 1, -1, 0], [5, -1, 0, 0, 2], [0, 0, 0, 0, 0], [0, 1, 1, -1, 1], 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[-34, -4, -8, 1, 8], [45, -1, 19, 0, -12], [-18, -2, -5, 10, 3], [-39, 27, 1, -3, -12], [-10, 23, 7, -5, -16], [9, -3, -15, -1, 5], [4, -19, -14, 1, 12], [12, -14, 6, 4, -21], [-45, 5, -1, -6, 0], [-29, 21, -6, -8, 4], [2, -25, 8, -8, 19], [39, -28, 1, 5, 13], [4, -9, 0, 10, 0], [-1, -25, 10, 13, -1], [-12, -8, 11, -4, -5], [-13, -12, -9, -9, 3], [7, 7, 14, -8, -3], [17, -24, -9, 11, -3], [14, 15, -7, 3, 9], [-6, -23, 12, -10, 16], [32, 7, 9, -7, 13], [-11, 21, -9, -5, 13], [-1, -17, 25, 3, 11], [-21, 25, 5, -2, -12], [27, 18, -16, 7, 5], [-11, -1, 0, 14, 3], [-18, -12, 4, 11, 11], [11, -3, 9, 3, -12], [7, -11, -16, 0, 1], [-28, -8, -8, 0, 20], [30, 0, 13, -13, 17], [-29, 16, -14, 8, -13], [11, -12, 18, -15, 0], [21, -15, 2, 25, -1], [34, 5, -6, 2, -6], [-8, 13, 0, 16, 3], [-2, 18, -8, 13, 7], [46, -13, -6, 11, 26], [-12, 19, -16, 16, -15], [12, 0, 22, -4, -16], [-26, -1, 12, -28, -3], [-41, 11, -5, -6, -5], [25, -15, 8, 11, -4], [9, 12, -11, -4, -10], [-6, 20, 6, 3, 0], [10, 19, -3, 1, -15], [-12, 21, -8, -1, 20], [2, -16, 5, 1, -10], [-25, 15, 10, -2, -2], [3, -6, 0, -10, -5], [-9, 27, 4, 5, -19], [15, -29, 0, -14, 18], [9, 30, -5, 3, -12], [-15, 5, -21, 3, -5], [-4, -14, -7, 11, -2], [27, -17, -10, -7, 1], [-12, -12, 1, -10, -2], [-34, 14, 6, -21, -7], [27, 4, 6, -2, 5], [-22, 3, 7, 16, 4], [-38, 11, -1, 2, 15], [17, -35, -9, 5, -3], [41, -28, 9, 12, 5], [-13, 21, -8, 9, -13], [12, 8, 2, 12, -8], [9, -12, 28, -19, -1], [11, 31, -12, 3, -16], [-16, 25, 8, -19, 1], [-12, 0, 0, 11, 17], [-24, 6, -10, 22, -4], [-3, 4, 15, -20, -3], [1, -28, 9, -1, -7], [-1, 6, -20, 22, -2], [23, 1, 9, -16, 4], [8, -26, -4, 20, 4], [-2, 3, 2, 18, 1], [-31, 9, 14, -11, -8], [-22, 24, -24, -6, -12], [-9, 2, -8, 12, -3], [26, -16, 7, 7, 2], [4, 21, 3, -15, -5], [1, 0, 17, -37, -4], [-23, -23, 0, 0, -4], [-15, 10, -8, -3, -30], [16, -4, -7, 5, 15], [-16, -3, -37, 8, 3], [-5, -5, 13, 0, -16], [-6, -6, 4, -13, 8], [32, -5, -6, 2, 4], [-14, -6, -7, -16, 8], [4, 7, 27, -9, -10], [48, 10, 1, 1, -10], [-21, 1, 11, -18, 0], [-61, -3, -3, -3, 6], [-4, 6, -5, 15, -4], [-16, 25, -28, -4, -2], [16, -7, 6, -10, 12], [0, -4, -3, 10, -19], [-1, 16, 13, -31, 1], [-20, 16, -8, -16, -4], [1, -31, 13, -13, 15], [36, -39, -3, 20, 10], [-7, 5, -16, 13, -16], [32, -23, 8, 14, 9], [-8, -21, 7, -21, 4], [6, 9, 13, -7, 14], [1, 21, 5, 1, 10], [-3, -3, -13, -15, 6], [-40, 12, -18, 9, 6], [43, -18, 3, 22, -3], [-26, 14, -14, 5, -18], [13, 19, -7, -3, -14], [36, -11, -1, 8, -2], [-12, -24, -5, 14, -7], [2, 10, -2, -4, -23], [-2, 16, 3, -3, 16], [-42, 5, 7, 3, -3], [16, -10, 7, 8, 6], [18, 24, -21, 6, 3], [-17, -1, -9, -10, -1], [27, 15, -7, 10, 5], [-25, 22, -10, -25, -2], [11, -11, 3, -3, 23], [-3, 2, -19, 25, -7], [-20, 19, 7, -9, -7], [30, -16, -1, 2, -17], [-49, -5, 3, -13, 3], [7, 2, 26, 6, -2], [-27, 17, 15, 3, -8], [-41, 17, -14, -11, -3]], 'char_orbit_index': 1, 'field_poly': [-3, 3, 9, -5, -2, 1], 'hecke_orbit_code': 112589990717820801, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0], [0, 1, 0, 0, 0], [3, 0, 1, 0, 0], [1, 4, 0, 1, 0], [14, 0, 5, 1, 1]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0], [0, 1, 0, 0, 0], [-3, 0, 1, 0, 0], [-1, -4, 0, 1, 0], [2, 4, -5, -1, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 5, 'label': '3969.2.a.z', 'level': 3969, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [34, 42, 42, 36], 'Nk2': 15876, 'analytic_conductor': 31.692624562246184, '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': [3969, 1, [2108, 3727], [1, 1]], 'conrey_index': 1, 'cusp_dim': 457, 'dim': 154, 'eis_dim': 95, 'eis_new_dim': 20, 'hecke_cutter_primes': [2, 5, 11, 13], 'hecke_orbit_code': 33558401, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 8, 8, 12, 12, 16], 'label': '3969.2.a', 'level': 3969, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 7], 'level_radical': 21, 'mf_dim': 552, 'mf_new_dim': 174, 'num_forms': 36, 'plus_dim': 70, 'prim_orbit_index': 1, 'relative_dim': 154, 'sturm_bound': 1008, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [154, 0, 0, 142, 0, 0, 0, 0, 0, -6, 0, 0, -10, 0, 0, 130, 0, 0, 8, 0, 0, 36, 0, 0, 112, 0, 0, 0, 0, 0, -4, 0, 0, 6, 0, 0, -10, 0, 0, -18, 0, 0, 20, 0, 0, 36, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 18, 0, 0, -22, 0, 0, 106, 0, 0, 44, 0, 0, 0, 0, 0, 38, 0, 0, 56, 0, 0, -4, 0, 0, 48, 0, 0, -30, 0, 0, 96, 0, 0, 0, 0, 0, 60, 0, 0, -4, 0, 0, 160, 0, 0, 8, 0, 0, 12, 0, 0, -58, 0, 0, 0, 0, 0, 96, 0, 0, 12, 0, 0, 94, 0, 0, 92, 0, 0, -28, 0, 0, 18, 0, 0, 0, 0, 0, 66, 0, 0, 20, 0, 0, 72, 0, 0, -78, 0, 0, -10, 0, 0, -16, 0, 0, 0, 0, 0, -58, 0, 0, 78, 0, 0, -16, 0, 0, 84, 0, 0, -60, 0, 0, 140, 0, 0, 0, 0, 0, -138, 0, 0, -40, 0, 0, 24, 0, 0, -24, 0, 0, -24, 0, 0, -70, 0, 0, 0, 0, 0, 8, 0, 0, -12, 0, 0, -48, 0, 0, -106, 0, 0, 32, 0, 0, 84, 0, 0, 0, 0, 0, 60, 0, 0, -76, 0, 0, -30, 0, 0, -154, 0, 0, 234, 0, 0, 72, 0, 0, 0, 0, 0, -70, 0, 0, 98, 0, 0, 16, 0, 0, -162, 0, 0, -60, 0, 0, 106, 0, 0, 0, 0, 0, -24, 0, 0, -84, 0, 0, -112, 0, 0, 176, 0, 0, 30, 0, 0, 68, 0, 0, 0, 0, 0, 20, 0, 0, 84, 0, 0, -8, 0, 0, 62, 0, 0, 84, 0, 0, -138, 0, 0, 0, 0, 0, 128, 0, 0, 92, 0, 0, 0, 0, 0, 14, 0, 0, -184, 0, 0, 36, 0, 0, 0, 0, 0, -76, 0, 0, -60, 0, 0, 104, 0, 0, -180, 0, 0, 32, 0, 0, -378, 0, 0, 0, 0, 0, -186, 0, 0, -52, 0, 0, 156, 0, 0, 108, 0, 0, -264, 0, 0, 186, 0, 0, 0, 0, 0, 20, 0, 0, -18, 0, 0, 44, 0, 0, -24, 0, 0, -28, 0, 0, -252, 0, 0, 0, 0, 0, -160, 0, 0, -12, 0, 0, -126, 0, 0, -10, 0, 0, 232, 0, 0, 112, 0, 0, 0, 0, 0, 170, 0, 0, -64, 0, 0, 12, 0, 0, -276, 0, 0, 278, 0, 0, 192, 0, 0, 0, 0, 0, 24, 0, 0, -106, 0, 0, -70, 0, 0, -88, 0, 0, 6, 0, 0, -90, 0, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, -178, 0, 0, 312, 0, 0, 80, 0, 0, -138, 0, 0, 0, 0, 0, -12, 0, 0, 176, 0, 0, -144, 0, 0, -14, 0, 0, 70, 0, 0, -64, 0, 0, 0, 0, 0, 54, 0, 0, -160, 0, 0, 176, 0, 0, 336, 0, 0, -312, 0, 0, -220, 0, 0, 0, 0, 0, -138, 0, 0, 216, 0, 0, 150, 0, 0, -76, 0, 0, -60, 0, 0, -206, 0, 0, 0, 0, 0, 36, 0, 0, 6, 0, 0, -70, 0, 0, 306, 0, 0, -4, 0, 0, 276, 0, 0, 0, 0, 0, -244, 0, 0, 136, 0, 0, -306, 0, 0, 54, 0, 0, -48, 0, 0, 32, 0, 0, 0, 0, 0, 14, 0, 0, -54, 0, 0, 96, 0, 0, -42, 0, 0, 172, 0, 0, 122, 0, 0, 0, 0, 0, -288, 0, 0, -22, 0, 0, 200, 0, 0, -52, 0, 0, -246, 0, 0, 104, 0, 0, 0, 0, 0, 32, 0, 0, 120, 0, 0, -230, 0, 0, -154, 0, 0, -4, 0, 0, 390, 0, 0, 0, 0, 0, 306, 0, 0, 32, 0, 0, -180, 0, 0, 144, 0, 0, -16, 0, 0, 252, 0, 0, 0, 0, 0, 194, 0, 0, -84, 0, 0, 84, 0, 0, 156, 0, 0, -82, 0, 0, -684, 0, 0, 0, 0, 0, 324, 0, 0, -6, 0, 0, 344, 0, 0, 200, 0, 0, 36, 0, 0, -492, 0, 0, 0, 0, 0, 112, 0, 0, -276, 0, 0, 230, 0, 0, -354, 0, 0, 108, 0, 0, -156, 0, 0, 0, 0, 0, -208, 0, 0, -64, 0, 0, -942, 0, 0, 68, 0, 0, 60, 0, 0, 236, 0, 0, 0, 0, 0, -210, 0, 0, -168, 0, 0, 212, 0, 0, -18, 0, 0, 68, 0, 0, -120, 0, 0, 0, 0, 0, 36, 0, 0, -298, 0, 0, -730, 0, 0, -220, 0, 0, -624, 0, 0, -72, 0, 0, 0, 0, 0, -88, 0, 0, -300, 0, 0, -158, 0, 0, -544, 0, 0, 84, 0, 0, -834, 0, 0, 0, 0, 0, -216, 0, 0, 56, 0, 0, -600, 0, 0, -404, 0, 0, -36, 0, 0, 224, 0, 0, 0, 0, 0, 32, 0, 0, -190, 0, 0, 252, 0, 0, 420, 0, 0, -308, 0, 0, -160, 0, 0, 0, 0, 0, 168, 0, 0, 128, 0, 0, 156, 0, 0, 152, 0, 0, -672, 0, 0, -270, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, -22, 0, 0, 276, 0, 0, 200, 0, 0, 156, 0, 0, 0, 0, 0, -280, 0, 0, 36, 0, 0, 204, 0, 0, -168, 0, 0, -894, 0, 0, -220, 0, 0, 0, 0, 0, -60, 0, 0, -46, 0, 0, 212, 0, 0, 252, 0, 0, -580, 0, 0, -306, 0, 0, 0, 0, 0, 48, 0, 0, -238, 0, 0, -132, 0, 0, 156, 0, 0, 300, 0, 0, -170, 0, 0, 0, 0, 0, -12, 0, 0, 168, 0, 0, -378, 0, 0, 2, 0, 0, 56, 0, 0, -216, 0, 0, 0, 0, 0, 98, 0, 0, 12, 0, 0, 108, 0, 0, -390, 0, 0, -8, 0, 0, -40, 0, 0, 0, 0, 0, 122, 0, 0, 54], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1178056
{'conductor': 63, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '3969.2.a.z', 'source_level': 3969, 'target_char_orbit': 7, 'target_dim': 10, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '63.2.g.b', 'target_level': 63, 'twist_class_label': '63.2.g.b', 'twist_class_level': 63, 'twisting_char_label': '63.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 1178057
{'conductor': 63, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '3969.2.a.z', 'source_level': 3969, 'target_char_orbit': 8, 'target_dim': 10, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '63.2.h.b', 'target_level': 63, 'twist_class_label': '63.2.g.b', 'twist_class_level': 63, 'twisting_char_label': '63.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1178058
{'conductor': 63, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '3969.2.a.z', 'source_level': 3969, 'target_char_orbit': 7, 'target_dim': 10, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '189.2.g.b', 'target_level': 189, 'twist_class_label': '63.2.g.b', 'twist_class_level': 63, 'twisting_char_label': '63.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 1178059
{'conductor': 63, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '3969.2.a.z', 'source_level': 3969, 'target_char_orbit': 8, 'target_dim': 10, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '189.2.h.b', 'target_level': 189, 'twist_class_label': '63.2.g.b', 'twist_class_level': 63, 'twisting_char_label': '63.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 1178060
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '3969.2.a.z', 'source_level': 3969, 'target_char_orbit': 6, 'target_dim': 10, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '441.2.f.e', 'target_level': 441, 'twist_class_label': '63.2.g.b', 'twist_class_level': 63, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1178061
{'conductor': 63, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '3969.2.a.z', 'source_level': 3969, 'target_char_orbit': 6, 'target_dim': 10, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '441.2.f.f', 'target_level': 441, 'twist_class_label': '63.2.g.b', 'twist_class_level': 63, 'twisting_char_label': '63.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1178062
{'conductor': 63, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '3969.2.a.z', 'source_level': 3969, 'target_char_orbit': 7, 'target_dim': 10, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '441.2.g.f', 'target_level': 441, 'twist_class_label': '63.2.g.b', 'twist_class_level': 63, 'twisting_char_label': '63.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 1178063
{'conductor': 63, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '3969.2.a.z', 'source_level': 3969, 'target_char_orbit': 8, 'target_dim': 10, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '441.2.h.f', 'target_level': 441, 'twist_class_label': '63.2.g.b', 'twist_class_level': 63, 'twisting_char_label': '63.t', 'twisting_char_orbit': 20, 'weight': 2}
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id: 1178064
{'conductor': 21, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '3969.2.a.z', 'source_level': 3969, 'target_char_orbit': 5, 'target_dim': 10, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '567.2.e.e', 'target_level': 567, 'twist_class_label': '63.2.g.b', 'twist_class_level': 63, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1178065
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '3969.2.a.z', 'source_level': 3969, 'target_char_orbit': 5, 'target_dim': 10, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '567.2.e.f', 'target_level': 567, 'twist_class_label': '63.2.g.b', 'twist_class_level': 63, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1178066
{'conductor': 252, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '3969.2.a.z', 'source_level': 3969, 'target_char_orbit': 17, 'target_dim': 10, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1008.2.q.i', 'target_level': 1008, 'twist_class_label': '63.2.g.b', 'twist_class_level': 63, 'twisting_char_label': '252.u', 'twisting_char_orbit': 21, 'weight': 2}
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id: 1178067
{'conductor': 252, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '3969.2.a.z', 'source_level': 3969, 'target_char_orbit': 20, 'target_dim': 10, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1008.2.t.i', 'target_level': 1008, 'twist_class_label': '63.2.g.b', 'twist_class_level': 63, 'twisting_char_label': '252.bl', 'twisting_char_orbit': 38, 'weight': 2}
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id: 1178068
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '3969.2.a.z', 'source_level': 3969, 'target_char_orbit': 6, 'target_dim': 10, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1323.2.f.e', 'target_level': 1323, 'twist_class_label': '63.2.g.b', 'twist_class_level': 63, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1178069
{'conductor': 63, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '3969.2.a.z', 'source_level': 3969, 'target_char_orbit': 6, 'target_dim': 10, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1323.2.f.f', 'target_level': 1323, 'twist_class_label': '63.2.g.b', 'twist_class_level': 63, 'twisting_char_label': '63.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 1178070
{'conductor': 63, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '3969.2.a.z', 'source_level': 3969, 'target_char_orbit': 7, 'target_dim': 10, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1323.2.g.f', 'target_level': 1323, 'twist_class_label': '63.2.g.b', 'twist_class_level': 63, 'twisting_char_label': '63.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 1178071
{'conductor': 63, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '3969.2.a.z', 'source_level': 3969, 'target_char_orbit': 8, 'target_dim': 10, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1323.2.h.f', 'target_level': 1323, 'twist_class_label': '63.2.g.b', 'twist_class_level': 63, 'twisting_char_label': '63.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1178072
{'conductor': 252, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '3969.2.a.z', 'source_level': 3969, 'target_char_orbit': 17, 'target_dim': 10, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '3024.2.q.i', 'target_level': 3024, 'twist_class_label': '63.2.g.b', 'twist_class_level': 63, 'twisting_char_label': '252.bb', 'twisting_char_orbit': 28, 'weight': 2}
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id: 1178073
{'conductor': 252, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '3969.2.a.z', 'source_level': 3969, 'target_char_orbit': 20, 'target_dim': 10, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '3024.2.t.i', 'target_level': 3024, 'twist_class_label': '63.2.g.b', 'twist_class_level': 63, 'twisting_char_label': '252.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 1178074
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '3969.2.a.z', 'source_level': 3969, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 26, 'target_is_minimal': False, 'target_label': '3969.2.a.z', 'target_level': 3969, 'twist_class_label': '63.2.g.b', 'twist_class_level': 63, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1178075
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '3969.2.a.z', 'source_level': 3969, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '3969.2.a.ba', 'target_level': 3969, 'twist_class_label': '63.2.g.b', 'twist_class_level': 63, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1178076
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '3969.2.a.z', 'source_level': 3969, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 28, 'target_is_minimal': False, 'target_label': '3969.2.a.bb', 'target_level': 3969, 'twist_class_label': '63.2.g.b', 'twist_class_level': 63, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1178077
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '3969.2.a.z', 'source_level': 3969, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 29, 'target_is_minimal': False, 'target_label': '3969.2.a.bc', 'target_level': 3969, 'twist_class_label': '63.2.g.b', 'twist_class_level': 63, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3452200
{'charpoly_factorization': [[[3, 3, -9, -5, 2, 1], 1]], 'hecke_orbit_code': 112589990717820801, 'p': 2}
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id: 3452201
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 112589990717820801, 'p': 3}
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id: 3452202
{'charpoly_factorization': [[[3, 18, -18, -5, 4, 1], 1]], 'hecke_orbit_code': 112589990717820801, 'p': 5}
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id: 3452203
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 112589990717820801, 'p': 7}
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id: 3452204
{'charpoly_factorization': [[[15, 12, -15, -8, 4, 1], 1]], 'hecke_orbit_code': 112589990717820801, 'p': 11}
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id: 3452205
{'charpoly_factorization': [[[-5, -23, 13, 13, -8, 1], 1]], 'hecke_orbit_code': 112589990717820801, 'p': 13}
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id: 3452206
{'charpoly_factorization': [[[-9, 18, 60, 45, 12, 1], 1]], 'hecke_orbit_code': 112589990717820801, 'p': 17}
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id: 3452207
{'charpoly_factorization': [[[-431, 259, 46, -41, 1, 1], 1]], 'hecke_orbit_code': 112589990717820801, 'p': 19}
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id: 3452208
{'charpoly_factorization': [[[-1611, 1080, -51, -63, 3, 1], 1]], 'hecke_orbit_code': 112589990717820801, 'p': 23}
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id: 3452209
{'charpoly_factorization': [[[9, -135, -165, -20, 7, 1], 1]], 'hecke_orbit_code': 112589990717820801, 'p': 29}
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id: 3452210
{'charpoly_factorization': [[[-285, 93, 64, -21, -3, 1], 1]], 'hecke_orbit_code': 112589990717820801, 'p': 31}
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id: 3452211
{'charpoly_factorization': [[[-288, 384, 280, -96, 0, 1], 1]], 'hecke_orbit_code': 112589990717820801, 'p': 37}
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id: 3452212
{'charpoly_factorization': [[[45, 171, -51, -44, 5, 1], 1]], 'hecke_orbit_code': 112589990717820801, 'p': 41}
-
id: 3452213
{'charpoly_factorization': [[[829, -1465, 730, -89, -7, 1], 1]], 'hecke_orbit_code': 112589990717820801, 'p': 43}
-
id: 3452214
{'charpoly_factorization': [[[-6615, -4032, 93, 213, 27, 1], 1]], 'hecke_orbit_code': 112589990717820801, 'p': 47}
-
id: 3452215
{'charpoly_factorization': [[[423, -423, -210, 135, -21, 1], 1]], 'hecke_orbit_code': 112589990717820801, 'p': 53}
-
id: 3452216
{'charpoly_factorization': [[[-5625, -108, 1113, 306, 30, 1], 1]], 'hecke_orbit_code': 112589990717820801, 'p': 59}
-
id: 3452217
{'charpoly_factorization': [[[1, -14, 7, 34, -14, 1], 1]], 'hecke_orbit_code': 112589990717820801, 'p': 61}
-
id: 3452218
{'charpoly_factorization': [[[-7121, 6784, 340, -203, -2, 1], 1]], 'hecke_orbit_code': 112589990717820801, 'p': 67}
-
id: 3452219
{'charpoly_factorization': [[[-81, 1053, -567, -168, 3, 1], 1]], 'hecke_orbit_code': 112589990717820801, 'p': 71}
-
id: 3452220
{'charpoly_factorization': [[[-879, 1197, -437, -6, 15, 1], 1]], 'hecke_orbit_code': 112589990717820801, 'p': 73}
-
id: 3452221
{'charpoly_factorization': [[[193, -22, -224, -95, -4, 1], 1]], 'hecke_orbit_code': 112589990717820801, 'p': 79}
-
id: 3452222
{'charpoly_factorization': [[[14769, -2727, -2106, -186, 9, 1], 1]], 'hecke_orbit_code': 112589990717820801, 'p': 83}
-
id: 3452223
{'charpoly_factorization': [[[-2661, -1692, 420, 235, 28, 1], 1]], 'hecke_orbit_code': 112589990717820801, 'p': 89}
-
id: 3452224
{'charpoly_factorization': [[[-48039, 2526, 1843, -144, -12, 1], 1]], 'hecke_orbit_code': 112589990717820801, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 26, 'label': '3969.2.a.z', 'level': 3969, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 66783277
{'hecke_orbit_code': 112589990717820801, 'n': 1, 'trace_an': 5}
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id: 66783278
{'hecke_orbit_code': 112589990717820801, 'n': 2, 'trace_an': -2}
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id: 66783279
{'hecke_orbit_code': 112589990717820801, 'n': 3, 'trace_an': 0}
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id: 66783280
{'hecke_orbit_code': 112589990717820801, 'n': 4, 'trace_an': 4}
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id: 66783281
{'hecke_orbit_code': 112589990717820801, 'n': 5, 'trace_an': -4}
-
id: 66783282
{'hecke_orbit_code': 112589990717820801, 'n': 6, 'trace_an': 0}
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id: 66783283
{'hecke_orbit_code': 112589990717820801, 'n': 7, 'trace_an': 0}
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id: 66783284
{'hecke_orbit_code': 112589990717820801, 'n': 8, 'trace_an': -3}
-
id: 66783285
{'hecke_orbit_code': 112589990717820801, 'n': 9, 'trace_an': 0}
-
id: 66783286
{'hecke_orbit_code': 112589990717820801, 'n': 10, 'trace_an': 7}
-
id: 66783287
{'hecke_orbit_code': 112589990717820801, 'n': 11, 'trace_an': -4}
-
id: 66783288
{'hecke_orbit_code': 112589990717820801, 'n': 12, 'trace_an': 0}
-
id: 66783289
{'hecke_orbit_code': 112589990717820801, 'n': 13, 'trace_an': 8}
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id: 66783290
{'hecke_orbit_code': 112589990717820801, 'n': 14, 'trace_an': 0}
-
id: 66783291
{'hecke_orbit_code': 112589990717820801, 'n': 15, 'trace_an': 0}
-
id: 66783292
{'hecke_orbit_code': 112589990717820801, 'n': 16, 'trace_an': -2}
-
id: 66783293
{'hecke_orbit_code': 112589990717820801, 'n': 17, 'trace_an': -12}
-
id: 66783294
{'hecke_orbit_code': 112589990717820801, 'n': 18, 'trace_an': 0}
-
id: 66783295
{'hecke_orbit_code': 112589990717820801, 'n': 19, 'trace_an': -1}
-
id: 66783296
{'hecke_orbit_code': 112589990717820801, 'n': 20, 'trace_an': -5}
-
id: 66783297
{'hecke_orbit_code': 112589990717820801, 'n': 21, 'trace_an': 0}
-
id: 66783298
{'hecke_orbit_code': 112589990717820801, 'n': 22, 'trace_an': 1}
-
id: 66783299
{'hecke_orbit_code': 112589990717820801, 'n': 23, 'trace_an': -3}
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