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mf_newforms • Show schema
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{'Nk2': 972, 'analytic_conductor': 1.9403647691171133, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -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': [243, 1, [2], [1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 81, 'field_disc_factorization': [[3, 4]], 'field_poly': [-1, -3, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 18, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [3, 0, -3, 1]], [7, [-17, -6, 3, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22517998170407155, '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': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '243.2.a.f', 'level': 243, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'minimal_twist': '243.2.a.e', 'nf_label': '3.3.81.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(1-\\beta _{1})q^{2}+(1-2\\beta _{1}+\\beta _{2})q^{4}+(2+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '243.2.a', 'trace_display': [3, 0, 6, -3], 'trace_hash': 1989687838672718913, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.050', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.853', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.061', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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0, 6, 0, 0, -144, -24, 0, 15, -21, 0, 63], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0], [1, -1, 0], [0, 0, 0], [1, -2, 1], [2, 1, 0], [0, 0, 0], [-1, 1, -2], [2, -2, 3], [0, 0, 0], [0, -1, -1], [1, 2, -3], [0, 0, 0], [-1, 1, 1], [-1, 4, -3], [0, 0, 0], [1, -3, 3], [3, 0, 0], [0, 0, 0], [-1, 0, 3], [-1, -2, 0], [0, 0, 0], [0, 4, -5], [2, -2, 3], [0, 0, 0], [1, 4, 1], [-4, 1, 0], [0, 0, 0], [-4, 6, -3], [4, -1, 3], [0, 0, 0], [-4, 1, -2], [0, -3, 0], [0, 0, 0], [3, -3, 0], [-2, -1, -3], [0, 0, 0], [-1, -3, 0], [-4, -2, 3], [0, 0, 0], [3, 1, 4], [-1, -5, 3], [0, 0, 0], [-4, -2, 1], [-5, 5, -3], [0, 0, 0], [3, -7, 5], [-2, 5, 0], [0, 0, 0], [0, -2, 1], [-8, 2, -3], [0, 0, 0], [-4, 3, -3], [6, 0, -3], [0, 0, 0], [3, 2, -4], [-11, 5, -3], [0, 0, 0], [3, -8, 4], [-7, 1, 0], [0, 0, 0], [2, 1, -5], [-4, 7, -3], [0, 0, 0], [4, 3, -3], [1, 2, 3], [0, 0, 0], [2, -5, 1], [3, -6, 3], [0, 0, 0], [3, 4, -2], [-3, -9, 3], [0, 0, 0], [2, 6, -3], [5, -2, 3], [0, 0, 0], [-1, -1, -1], [8, -2, -3], [0, 0, 0], [2, -5, 4], [-1, -2, 3], [0, 0, 0], [6, -7, 8], [-2, -1, -3], [0, 0, 0], [6, 3, 0], [-1, 1, 3], [0, 0, 0], [-12, 5, 2], [0, 9, -6], [0, 0, 0], [-2, -5, 4], [8, -11, 6], [0, 0, 0], [-12, 7, -5], [1, 2, 6], [0, 0, 0], [5, -8, 4], [3, -3, 3], [0, 0, 0], [-11, 5, -7]], 'ap': [[1, -1, 0], [0, 0, 0], [2, 1, 0], [-1, 1, -2], [1, 2, -3], [-1, 1, 1], [3, 0, 0], [-1, 0, 3], [2, -2, 3], [4, -1, 3], [-4, 1, -2], [-1, -3, 0], [-1, -5, 3], [-4, -2, 1], [-2, 5, 0], [6, 0, -3], [-7, 1, 0], [2, 1, -5], [2, -5, 1], [-3, -9, 3], [2, 6, -3], [2, -5, 4], [-2, -1, -3], [0, 9, -6], [5, -8, 4], [4, -4, -3], [5, 4, 4], [3, 0, 3], [-10, -3, 0], [5, 1, -6], [-1, 3, -3], [-4, 7, 6], [7, -1, 6], [5, 7, -5], [5, 4, -9], [8, 4, -5], [-7, -11, 10], [-1, 3, -12], [-1, 1, -3], [7, -7, 3], [-3, 0, -6], [-1, -6, -3], [-11, -1, -3], [-10, 1, 4], [12, 0, 6], [-1, -6, 6], [-7, 1, 4], [-1, 7, 4], [-11, 2, 3], [-10, 10, -8], [3, 9, -9], [-16, -2, -6], [2, 10, 1], [-15, -9, 6], [-1, -5, -6], [13, 5, -3], [9, 0, 9], [-7, -3, 6], [-1, 13, -17], [-2, -16, 12], [-1, 7, 7], [8, 16, -9], [11, -12, -3], [2, 4, 6], [5, -2, 1], [25, -4, 0], [-1, -20, 4], [8, -8, 10], [11, 7, -6], [20, 4, 4], [-17, 8, -9], [15, 9, -9], [-19, 4, -5], [11, -5, -11], [-1, 18, -15], [5, 10, 3], [4, 11, -9], [8, -9, -6], [-4, -2, 6], [-4, 1, 7], [14, -14, 0], [-4, -5, 16], [3, -9, -15], [-19, -15, 6], [2, -14, 16], [16, -7, 12], [-18, 9, -21], [-7, -2, 7], [13, -10, -6], [5, -5, -17], [21, -9, -3], [-14, -13, 15], [8, 9, 3], [8, -8, 6], [2, 7, -5], [24, 0, 3], [-4, -11, 15], [-27, 0, 3], [2, -12, 15], [17, -3, 18], [-16, -5, 7], [15, -9, -6], [14, -11, 15], [-2, 8, 15], [23, -2, 13], [2, 15, -12], [-17, -22, 12], [6, -9, -12], [-1, 1, 6], [-19, -2, -5], [-10, -20, 16], [11, -3, -3], [-7, -11, 12], [-13, 7, -23], [8, 27, -15], [-5, 14, -12], [-13, 10, -17], [3, 9, -6], [23, 19, -15], [1, 11, 6], [2, 10, -20], [-16, 7, -11], [1, -1, -18], [-9, 9, 3], [-13, 19, 13], [15, 0, 24], [-1, -2, 13], [-21, 0, 12], [14, -8, -2], [-13, -2, -14], [-19, -15, 15], [23, -14, 0], [-25, 10, 13], [-25, 15, 6], [-25, 10, 9], [-10, 16, -11], [0, -27, 33], [8, -20, 19], [-16, 4, 15], [-18, 9, -9], [17, 0, 3], [13, -16, 9], [17, -5, 4], [-9, 18, -3], [8, 24, -18], [4, -10, 21], [17, 7, -11], [-17, -4, 3], [29, 10, -14], [3, 9, 12], [-10, -5, -5], [3, 0, 18], [-1, 24, 0], [-1, -11, 9], [-4, -8, 4], [-2, 5, 9], [11, 6, 6], [-23, 11, 0], [8, -15, 6], [-22, 16, -21], [10, -19, 9], [-3, -18, 0], [23, 13, 4], [24, 18, -3], [-16, 1, 18], [-14, 2, 0], [2, 0, 0], [5, -5, 28]], 'char_orbit_index': 1, 'field_poly': [-1, -3, 0, 1], 'hecke_orbit_code': 22517998170407155, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0], [0, 1, 0], [2, 0, 1]], 'hecke_ring_numerators': [[1, 0, 0], [0, 1, 0], [-2, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 3, 'label': '243.2.a.f', 'level': 243, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [4, 8], 'Nk2': 972, 'analytic_conductor': 1.9403647691171133, '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': [243, 1, [2], [1]], 'conrey_index': 1, 'cusp_dim': 19, 'dim': 12, 'eis_dim': 17, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7], 'hecke_orbit_code': 33554675, 'hecke_orbit_dims': [1, 1, 2, 2, 3, 3], 'label': '243.2.a', 'level': 243, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'mf_dim': 36, 'mf_new_dim': 12, 'num_forms': 6, 'plus_dim': 4, 'prim_orbit_index': 1, 'relative_dim': 12, 'sturm_bound': 54, 'trace_bound': 7, 'trace_display': [0, 0, 0, -3], 'traces': [12, 0, 0, 12, 0, 0, -3, 0, 0, 0, 0, 0, -3, 0, 0, 12, 0, 0, -3, 0, 0, 0, 0, 0, 12, 0, 0, -12, 0, 0, -12, 0, 0, -18, 0, 0, -3, 0, 0, -18, 0, 0, -12, 0, 0, -18, 0, 0, 9, 0, 0, -12, 0, 0, -18, 0, 0, -18, 0, 0, 24, 0, 0, -6, 0, 0, 24, 0, 0, -18, 0, 0, 24, 0, 0, -30, 0, 0, -21, 0, 0, 72, 0, 0, 72, 0, 0, -36, 0, 0, 12, 0, 0, -36, 0, 0, 69, 0, 0, -24, 0, 0, 6, 0, 0, 54, 0, 0, -30, 0, 0, -30, 0, 0, -18, 0, 0, -54, 0, 0, -6, 0, 0, -48, 0, 0, -30, 0, 0, 36, 0, 0, -6, 0, 0, -36, 0, 0, -39, 0, 0, 144, 0, 0, 54, 0, 0, 132, 0, 0, -12, 0, 0, 126, 0, 0, -48, 0, 0, -72, 0, 0, -3, 0, 0, -18, 0, 0, -9, 0, 0, 114, 0, 0, -39, 0, 0, -36, 0, 0, 51, 0, 0, 108, 0, 0, -18, 0, 0, -54, 0, 0, -12, 0, 0, -54, 0, 0, -57, 0, 0, 18, 0, 0, -54, 0, 0, -84, 0, 0, -21, 0, 0, 108, 0, 0, -33, 0, 0, -90, 0, 0, -30, 0, 0, -54, 0, 0, -30, 0, 0, 90, 0, 0, -36, 0, 0, -90, 0, 0, -75, 0, 0, 42, 0, 0, 75, 0, 0, -18, 0, 0, -36, 0, 0, -96, 0, 0, 75, 0, 0, -72, 0, 0, -54, 0, 0, 42, 0, 0, -30, 0, 0, 90, 0, 0, 24, 0, 0, -126, 0, 0, -30, 0, 0, -90, 0, 0, -42, 0, 0, 24, 0, 0, -36, 0, 0, 72, 0, 0, -33, 0, 0, 78, 0, 0, 78, 0, 0, 90, 0, 0, -39, 0, 0, 78, 0, 0, -54, 0, 0, -108, 0, 0, 177, 0, 0, 126, 0, 0, -57, 0, 0, 108, 0, 0, -3, 0, 0, 126, 0, 0, 57, 0, 0, 108, 0, 0, 195, 0, 0, 18, 0, 0, -90, 0, 0, -126, 0, 0, -45, 0, 0, -24, 0, 0, -66, 0, 0, -54, 0, 0, 195, 0, 0, 54, 0, 0, -57, 0, 0, 36, 0, 0, 54, 0, 0, 114, 0, 0, 72, 0, 0, 72, 0, 0, 78, 0, 0, -150, 0, 0, -33, 0, 0, -126, 0, 0, -39, 0, 0, -30, 0, 0, 54, 0, 0, -108, 0, 0, -39, 0, 0, 108, 0, 0, 93, 0, 0, -126, 0, 0, -84, 0, 0, 24, 0, 0, 24, 0, 0, -36, 0, 0, 144, 0, 0, -12, 0, 0, -108, 0, 0, -108, 0, 0, 60, 0, 0, 0, 0, 0, -93, 0, 0, -72, 0, 0, -69, 0, 0, -126, 0, 0, 51, 0, 0, -72, 0, 0, -6, 0, 0, 12, 0, 0, 105, 0, 0, -18, 0, 0, 144, 0, 0, -120, 0, 0, 24, 0, 0, 18, 0, 0, -90, 0, 0, -138, 0, 0, 75, 0, 0, 18, 0, 0, 90, 0, 0, 36, 0, 0, -84, 0, 0, -144, 0, 0, -60, 0, 0, -78, 0, 0, 54, 0, 0, -108, 0, 0, 51, 0, 0, 0, 0, 0, -84, 0, 0, -36, 0, 0, -78, 0, 0, -156, 0, 0, -87, 0, 0, 0, 0, 0, -36, 0, 0, 126, 0, 0, 231, 0, 0, -144, 0, 0, -84, 0, 0, 36, 0, 0, 216, 0, 0, -18, 0, 0, -105, 0, 0, 78, 0, 0, 36, 0, 0, -162, 0, 0, -84, 0, 0, 60, 0, 0, 51, 0, 0, 36, 0, 0, 186, 0, 0, 72, 0, 0, -102, 0, 0, -144, 0, 0, 48, 0, 0, 294, 0, 0, 213, 0, 0, 342, 0, 0, -99, 0, 0, 252, 0, 0, 6, 0, 0, -36, 0, 0, -72, 0, 0, -192, 0, 0, 36, 0, 0, 270, 0, 0, -84, 0, 0, -234, 0, 0, 198, 0, 0, 252, 0, 0, -75, 0, 0, -180, 0, 0, -114, 0, 0, 18, 0, 0, 108, 0, 0, 96, 0, 0, 42, 0, 0, -18, 0, 0, -90, 0, 0, 204, 0, 0, -60, 0, 0, -72, 0, 0, -111, 0, 0, -234, 0, 0, -162, 0, 0, 288, 0, 0, -159, 0, 0, 186, 0, 0, 168, 0, 0, -162, 0, 0, -12, 0, 0, 90, 0, 0, -138, 0, 0, 108, 0, 0, -54, 0, 0, -234, 0, 0, -129, 0, 0, -126, 0, 0, -30, 0, 0, 180, 0, 0, 183, 0, 0, 0, 0, 0, -111, 0, 0, -102, 0, 0, 6, 0, 0, -162, 0, 0, -180, 0, 0, 198, 0, 0, -120, 0, 0, 90, 0, 0, -69, 0, 0, 78, 0, 0, -180, 0, 0, 144, 0, 0, -18, 0, 0, 0, 0, 0, 186, 0, 0, 54, 0, 0, -105, 0, 0, 18, 0, 0, 213, 0, 0, 36, 0, 0, -57, 0, 0, 42, 0, 0, 126, 0, 0, 288, 0, 0, -96, 0, 0, -84, 0, 0, 141, 0, 0, -180, 0, 0, 150, 0, 0, 216, 0, 0, 141, 0, 0, 108, 0, 0, -126, 0, 0, 282, 0, 0, -15, 0, 0, 72, 0, 0, -57, 0, 0, -18, 0, 0, -57, 0, 0, 0, 0, 0, -141, 0, 0, -282, 0, 0, -144, 0, 0, -18, 0, 0, 0, 0, 0, -126, 0, 0, -93, 0, 0, -18, 0, 0, -54, 0, 0, -282, 0, 0, -30, 0, 0, 198, 0, 0, -111, 0, 0, 18, 0, 0, 153, 0, 0, 288, 0, 0, 51, 0, 0, -324, 0, 0, 18, 0, 0, 72, 0, 0, 75, 0, 0, -342, 0, 0, -162, 0, 0, -198, 0, 0, -18, 0, 0, -300, 0, 0, 222, 0, 0, 360, 0, 0, 75, 0, 0, -84, 0, 0, 126, 0, 0, -216, 0, 0, 36, 0, 0, -78, 0, 0, -84, 0, 0, -252, 0, 0, 114, 0, 0, 198], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 194169
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '243.2.a.f', 'source_level': 243, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '243.2.a.e', 'target_level': 243, 'twist_class_label': '243.2.a.e', 'twist_class_level': 243, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 194170
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '243.2.a.f', 'source_level': 243, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '243.2.a.f', 'target_level': 243, 'twist_class_label': '243.2.a.e', 'twist_class_level': 243, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 194171
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '243.2.a.f', 'source_level': 243, 'target_char_orbit': 3, 'target_dim': 6, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '243.2.c.e', 'target_level': 243, 'twist_class_label': '243.2.a.e', 'twist_class_level': 243, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 194172
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '243.2.a.f', 'source_level': 243, 'target_char_orbit': 3, 'target_dim': 6, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '243.2.c.f', 'target_level': 243, 'twist_class_label': '243.2.a.e', 'twist_class_level': 243, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 194173
{'conductor': 27, 'degree': 6, 'multiplicity': 2, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '243.2.a.f', 'source_level': 243, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '729.2.e.a', 'target_level': 729, 'twist_class_label': '243.2.a.e', 'twist_class_level': 243, 'twisting_char_label': '27.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 194174
{'conductor': 27, 'degree': 6, 'multiplicity': 2, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '243.2.a.f', 'source_level': 243, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '729.2.e.b', 'target_level': 729, 'twist_class_label': '243.2.a.e', 'twist_class_level': 243, 'twisting_char_label': '27.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 194175
{'conductor': 27, 'degree': 6, 'multiplicity': 2, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '243.2.a.f', 'source_level': 243, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '729.2.e.c', 'target_level': 729, 'twist_class_label': '243.2.a.e', 'twist_class_level': 243, 'twisting_char_label': '27.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 194176
{'conductor': 27, 'degree': 6, 'multiplicity': 2, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '243.2.a.f', 'source_level': 243, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '729.2.e.g', 'target_level': 729, 'twist_class_label': '243.2.a.e', 'twist_class_level': 243, 'twisting_char_label': '27.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 194177
{'conductor': 27, 'degree': 6, 'multiplicity': 2, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '243.2.a.f', 'source_level': 243, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '729.2.e.h', 'target_level': 729, 'twist_class_label': '243.2.a.e', 'twist_class_level': 243, 'twisting_char_label': '27.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 194178
{'conductor': 27, 'degree': 6, 'multiplicity': 2, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '243.2.a.f', 'source_level': 243, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '729.2.e.i', 'target_level': 729, 'twist_class_label': '243.2.a.e', 'twist_class_level': 243, 'twisting_char_label': '27.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 194179
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '243.2.a.f', 'source_level': 243, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 30, 'target_is_minimal': False, 'target_label': '3888.2.a.bd', 'target_level': 3888, 'twist_class_label': '243.2.a.e', 'twist_class_level': 243, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 194180
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '243.2.a.f', 'source_level': 243, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 37, 'target_is_minimal': False, 'target_label': '3888.2.a.bk', 'target_level': 3888, 'twist_class_label': '243.2.a.e', 'twist_class_level': 243, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 194181
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '243.2.a.f', 'source_level': 243, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 43, 'target_is_minimal': False, 'target_label': '6075.2.a.bq', 'target_level': 6075, 'twist_class_label': '243.2.a.e', 'twist_class_level': 243, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 194182
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '243.2.a.f', 'source_level': 243, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 48, 'target_is_minimal': False, 'target_label': '6075.2.a.bv', 'target_level': 6075, 'twist_class_label': '243.2.a.e', 'twist_class_level': 243, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 571975
{'charpoly_factorization': [[[3, 0, -3, 1], 1]], 'hecke_orbit_code': 22517998170407155, 'p': 2}
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id: 571976
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 22517998170407155, 'p': 3}
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id: 571977
{'charpoly_factorization': [[[-3, 9, -6, 1], 1]], 'hecke_orbit_code': 22517998170407155, 'p': 5}
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id: 571978
{'charpoly_factorization': [[[-17, -6, 3, 1], 1]], 'hecke_orbit_code': 22517998170407155, 'p': 7}
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id: 571979
{'charpoly_factorization': [[[3, -18, -3, 1], 1]], 'hecke_orbit_code': 22517998170407155, 'p': 11}
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id: 571980
{'charpoly_factorization': [[[-17, -6, 3, 1], 1]], 'hecke_orbit_code': 22517998170407155, 'p': 13}
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id: 571981
{'charpoly_factorization': [[[-3, 1], 3]], 'hecke_orbit_code': 22517998170407155, 'p': 17}
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id: 571982
{'charpoly_factorization': [[[1, -24, 3, 1], 1]], 'hecke_orbit_code': 22517998170407155, 'p': 19}
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id: 571983
{'charpoly_factorization': [[[51, -9, -6, 1], 1]], 'hecke_orbit_code': 22517998170407155, 'p': 23}
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id: 571984
{'charpoly_factorization': [[[57, 27, -12, 1], 1]], 'hecke_orbit_code': 22517998170407155, 'p': 29}
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id: 571985
{'charpoly_factorization': [[[19, 39, 12, 1], 1]], 'hecke_orbit_code': 22517998170407155, 'p': 31}
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id: 571986
{'charpoly_factorization': [[[1, -24, 3, 1], 1]], 'hecke_orbit_code': 22517998170407155, 'p': 37}
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id: 571987
{'charpoly_factorization': [[[-219, -54, 3, 1], 1]], 'hecke_orbit_code': 22517998170407155, 'p': 41}
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id: 571988
{'charpoly_factorization': [[[19, 39, 12, 1], 1]], 'hecke_orbit_code': 22517998170407155, 'p': 43}
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id: 571989
{'charpoly_factorization': [[[-267, -63, 6, 1], 1]], 'hecke_orbit_code': 22517998170407155, 'p': 47}
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id: 571990
{'charpoly_factorization': [[[-81, 81, -18, 1], 1]], 'hecke_orbit_code': 22517998170407155, 'p': 53}
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id: 571991
{'charpoly_factorization': [[[321, 144, 21, 1], 1]], 'hecke_orbit_code': 22517998170407155, 'p': 59}
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id: 571992
{'charpoly_factorization': [[[-53, -51, -6, 1], 1]], 'hecke_orbit_code': 22517998170407155, 'p': 61}
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id: 571993
{'charpoly_factorization': [[[109, -51, -6, 1], 1]], 'hecke_orbit_code': 22517998170407155, 'p': 67}
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id: 571994
{'charpoly_factorization': [[[-999, -162, 9, 1], 1]], 'hecke_orbit_code': 22517998170407155, 'p': 71}
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id: 571995
{'charpoly_factorization': [[[397, -69, -6, 1], 1]], 'hecke_orbit_code': 22517998170407155, 'p': 73}
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id: 571996
{'charpoly_factorization': [[[-53, -51, -6, 1], 1]], 'hecke_orbit_code': 22517998170407155, 'p': 79}
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id: 571997
{'charpoly_factorization': [[[-51, -27, 6, 1], 1]], 'hecke_orbit_code': 22517998170407155, 'p': 83}
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id: 571998
{'charpoly_factorization': [[[999, -189, 0, 1], 1]], 'hecke_orbit_code': 22517998170407155, 'p': 89}
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id: 571999
{'charpoly_factorization': [[[19, -69, -15, 1], 1]], 'hecke_orbit_code': 22517998170407155, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 6, 'label': '243.2.a.f', 'level': 243, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 41772499
{'hecke_orbit_code': 22517998170407155, 'n': 1, 'trace_an': 3}
-
id: 41772500
{'hecke_orbit_code': 22517998170407155, 'n': 2, 'trace_an': 3}
-
id: 41772501
{'hecke_orbit_code': 22517998170407155, 'n': 3, 'trace_an': 0}
-
id: 41772502
{'hecke_orbit_code': 22517998170407155, 'n': 4, 'trace_an': 3}
-
id: 41772503
{'hecke_orbit_code': 22517998170407155, 'n': 5, 'trace_an': 6}
-
id: 41772504
{'hecke_orbit_code': 22517998170407155, 'n': 6, 'trace_an': 0}
-
id: 41772505
{'hecke_orbit_code': 22517998170407155, 'n': 7, 'trace_an': -3}
-
id: 41772506
{'hecke_orbit_code': 22517998170407155, 'n': 8, 'trace_an': 6}
-
id: 41772507
{'hecke_orbit_code': 22517998170407155, 'n': 9, 'trace_an': 0}
-
id: 41772508
{'hecke_orbit_code': 22517998170407155, 'n': 10, 'trace_an': 0}
-
id: 41772509
{'hecke_orbit_code': 22517998170407155, 'n': 11, 'trace_an': 3}
-
id: 41772510
{'hecke_orbit_code': 22517998170407155, 'n': 12, 'trace_an': 0}
-
id: 41772511
{'hecke_orbit_code': 22517998170407155, 'n': 13, 'trace_an': -3}
-
id: 41772512
{'hecke_orbit_code': 22517998170407155, 'n': 14, 'trace_an': -3}
-
id: 41772513
{'hecke_orbit_code': 22517998170407155, 'n': 15, 'trace_an': 0}
-
id: 41772514
{'hecke_orbit_code': 22517998170407155, 'n': 16, 'trace_an': 3}
-
id: 41772515
{'hecke_orbit_code': 22517998170407155, 'n': 17, 'trace_an': 9}
-
id: 41772516
{'hecke_orbit_code': 22517998170407155, 'n': 18, 'trace_an': 0}
-
id: 41772517
{'hecke_orbit_code': 22517998170407155, 'n': 19, 'trace_an': -3}
-
id: 41772518
{'hecke_orbit_code': 22517998170407155, 'n': 20, 'trace_an': -3}
-
id: 41772519
{'hecke_orbit_code': 22517998170407155, 'n': 21, 'trace_an': 0}
-
id: 41772520
{'hecke_orbit_code': 22517998170407155, 'n': 22, 'trace_an': 0}
-
id: 41772521
{'hecke_orbit_code': 22517998170407155, 'n': 23, 'trace_an': 6}
-
id: 41772522
{'hecke_orbit_code': 22517998170407155, 'n': 24, 'trace_an': 0}
-
id: 41772523
{'hecke_orbit_code': 22517998170407155, 'n': 25, 'trace_an': 3}
-
id: 41772524
{'hecke_orbit_code': 22517998170407155, 'n': 26, 'trace_an': -12}
-
id: 41772525
{'hecke_orbit_code': 22517998170407155, 'n': 27, 'trace_an': 0}
-
id: 41772526
{'hecke_orbit_code': 22517998170407155, 'n': 28, 'trace_an': -12}
-
id: 41772527
{'hecke_orbit_code': 22517998170407155, 'n': 29, 'trace_an': 12}
-
id: 41772528
{'hecke_orbit_code': 22517998170407155, 'n': 30, 'trace_an': 0}
-
id: 41772529
{'hecke_orbit_code': 22517998170407155, 'n': 31, 'trace_an': -12}
-
id: 41772530
{'hecke_orbit_code': 22517998170407155, 'n': 32, 'trace_an': 0}
-
id: 41772531
{'hecke_orbit_code': 22517998170407155, 'n': 33, 'trace_an': 0}
-
id: 41772532
{'hecke_orbit_code': 22517998170407155, 'n': 34, 'trace_an': 9}
-
id: 41772533
{'hecke_orbit_code': 22517998170407155, 'n': 35, 'trace_an': -6}
-
id: 41772534
{'hecke_orbit_code': 22517998170407155, 'n': 36, 'trace_an': 0}
-
id: 41772535
{'hecke_orbit_code': 22517998170407155, 'n': 37, 'trace_an': -3}
-
id: 41772536
{'hecke_orbit_code': 22517998170407155, 'n': 38, 'trace_an': -12}
-
id: 41772537
{'hecke_orbit_code': 22517998170407155, 'n': 39, 'trace_an': 0}
-
id: 41772538
{'hecke_orbit_code': 22517998170407155, 'n': 40, 'trace_an': 9}
-
id: 41772539
{'hecke_orbit_code': 22517998170407155, 'n': 41, 'trace_an': -3}
-
id: 41772540
{'hecke_orbit_code': 22517998170407155, 'n': 42, 'trace_an': 0}
-
id: 41772541
{'hecke_orbit_code': 22517998170407155, 'n': 43, 'trace_an': -12}
-
id: 41772542
{'hecke_orbit_code': 22517998170407155, 'n': 44, 'trace_an': -15}
-
id: 41772543
{'hecke_orbit_code': 22517998170407155, 'n': 45, 'trace_an': 0}
-
id: 41772544
{'hecke_orbit_code': 22517998170407155, 'n': 46, 'trace_an': 9}
-
id: 41772545
{'hecke_orbit_code': 22517998170407155, 'n': 47, 'trace_an': -6}
-
id: 41772546
{'hecke_orbit_code': 22517998170407155, 'n': 48, 'trace_an': 0}
-
id: 41772547
{'hecke_orbit_code': 22517998170407155, 'n': 49, 'trace_an': 0}
-
id: 41772548
{'hecke_orbit_code': 22517998170407155, 'n': 50, 'trace_an': -24}
-
id: 41772549
{'hecke_orbit_code': 22517998170407155, 'n': 51, 'trace_an': 0}
-
id: 41772550
{'hecke_orbit_code': 22517998170407155, 'n': 52, 'trace_an': -12}
-
id: 41772551
{'hecke_orbit_code': 22517998170407155, 'n': 53, 'trace_an': 18}
-
id: 41772552
{'hecke_orbit_code': 22517998170407155, 'n': 54, 'trace_an': 0}
-
id: 41772553
{'hecke_orbit_code': 22517998170407155, 'n': 55, 'trace_an': 9}
-
id: 41772554
{'hecke_orbit_code': 22517998170407155, 'n': 56, 'trace_an': -33}
-
id: 41772555
{'hecke_orbit_code': 22517998170407155, 'n': 57, 'trace_an': 0}
-
id: 41772556
{'hecke_orbit_code': 22517998170407155, 'n': 58, 'trace_an': 9}
-
id: 41772557
{'hecke_orbit_code': 22517998170407155, 'n': 59, 'trace_an': -21}
-
id: 41772558
{'hecke_orbit_code': 22517998170407155, 'n': 60, 'trace_an': 0}
-
id: 41772559
{'hecke_orbit_code': 22517998170407155, 'n': 61, 'trace_an': 6}
-
id: 41772560
{'hecke_orbit_code': 22517998170407155, 'n': 62, 'trace_an': -12}
-
id: 41772561
{'hecke_orbit_code': 22517998170407155, 'n': 63, 'trace_an': 0}
-
id: 41772562
{'hecke_orbit_code': 22517998170407155, 'n': 64, 'trace_an': 12}
-
id: 41772563
{'hecke_orbit_code': 22517998170407155, 'n': 65, 'trace_an': 3}
-
id: 41772564
{'hecke_orbit_code': 22517998170407155, 'n': 66, 'trace_an': 0}
-
id: 41772565
{'hecke_orbit_code': 22517998170407155, 'n': 67, 'trace_an': 6}
-
id: 41772566
{'hecke_orbit_code': 22517998170407155, 'n': 68, 'trace_an': 9}
-
id: 41772567
{'hecke_orbit_code': 22517998170407155, 'n': 69, 'trace_an': 0}
-
id: 41772568
{'hecke_orbit_code': 22517998170407155, 'n': 70, 'trace_an': 9}
-
id: 41772569
{'hecke_orbit_code': 22517998170407155, 'n': 71, 'trace_an': -9}
-
id: 41772570
{'hecke_orbit_code': 22517998170407155, 'n': 72, 'trace_an': 0}
-
id: 41772571
{'hecke_orbit_code': 22517998170407155, 'n': 73, 'trace_an': 6}
-
id: 41772572
{'hecke_orbit_code': 22517998170407155, 'n': 74, 'trace_an': 15}
-
id: 41772573
{'hecke_orbit_code': 22517998170407155, 'n': 75, 'trace_an': 0}
-
id: 41772574
{'hecke_orbit_code': 22517998170407155, 'n': 76, 'trace_an': -3}
-
id: 41772575
{'hecke_orbit_code': 22517998170407155, 'n': 77, 'trace_an': 24}
-
id: 41772576
{'hecke_orbit_code': 22517998170407155, 'n': 78, 'trace_an': 0}
-
id: 41772577
{'hecke_orbit_code': 22517998170407155, 'n': 79, 'trace_an': 6}
-
id: 41772578
{'hecke_orbit_code': 22517998170407155, 'n': 80, 'trace_an': -3}
-
id: 41772579
{'hecke_orbit_code': 22517998170407155, 'n': 81, 'trace_an': 0}
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id: 41772580
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