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mf_newforms • Show schema
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{'Nk2': 756, 'analytic_conductor': 1.5091725982021993, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 63, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 19, 'char_orbit_label': 's', 'char_order': 6, 'char_parity': 1, 'char_values': [189, 6, [29, 136], [5, 1]], 'cm_discs': [], 'conrey_index': 17, 'conrey_indexes': [17, 89], 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [3, -3, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 1236984135869, '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, 63, 19, 1, 6, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '189.2.s.a', 'level': 189, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 7], 'level_radical': 21, 'minimal_twist': '63.2.i.a', 'nf_label': '2.0.3.1', 'prim_orbit_index': 19, 'qexp_display': 'q+(1+\\zeta_{6})q^{2}+\\zeta_{6}q^{4}+3q^{5}+(-3+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '189.2.s', 'trace_display': [3, 0, 6, -5], 'trace_hash': 1506519806010659733, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.937', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.050', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.422', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.367', 'prec': 17}, {'__RealLiteral__': 0, 'data': '93.315', 'prec': 20}], 'trace_zratio': 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [1, 1], [0, 0], [0, 1], [3, 0], [0, 0], [-3, 1], [1, -2], [0, 0], [3, 3], [-1, 2], [0, 0], [-1, -1], [-4, -1], [0, 0], [5, -5], [-3, 3], [0, 0], [-6, 3], [0, 3], [0, 0], [-3, 3], [3, -6], [0, 0], [4, 0], [0, -3], [0, 0], [-1, -2], [6, -3], [0, 0], [-4, 2], [6, -3], [0, 0], [-6, 3], [-9, 3], [0, 0], [0, -7], [-9, 0], [0, 0], [3, -6], [-3, 3], [0, 0], [0, -1], [-2, 1], [0, 0], [9, -9], [0, 0], [0, 0], [8, -5], [4, 4], [0, 0], [1, -2], [5, 5], [0, 0], [-3, 6], [-1, 5], [0, 0], [9, 0], [0, 0], [0, 0], [8, 8], [-6, 0], [0, 0], [-1, 0], [-3, -3], [0, 0], [0, 4], [-3, 0], [0, 0], [-12, -3], [-2, 4], [0, 0], [-3, -3], [7, -14], [0, 0], [-3, -3], [1, -5], [0, 0], [-8, 8], [15, -15], [0, 0], [-6, 3], [0, 15], [0, 0], [-9, 9], [1, -2], [0, 0], [3, 0], [0, -3], [0, 0], [4, 1], [6, -3], [0, 0], [0, 0], [-18, 9], [0, 0], [-2, 1], [13, -2], [0, 0], [0, 4]], 'ap': [[1, 1], [0, 0], [3, 0], [-3, 1], [-1, 2], [-1, -1], [-3, 3], [-6, 3], [3, -6], [6, -3], [-4, 2], [0, -7], [-3, 3], [0, -1], [0, 0], [5, 5], [0, 0], [8, 8], [0, 4], [-2, 4], [-3, -3], [-8, 8], [0, 15], [0, -3], [-2, 1], [3, 0], [7, -14], [10, -5], [-19, 19], [-1, -1], [20, 0], [9, 0], [7, -14], [-5, -5], [1, -2], [-17, 0], [0, 0], [0, -11], [9, -9], [6, -6], [-9, -9], [0, 0], [10, 10], [0, 2], [8, -16], [-5, -5], [5, -5], [-6, 3], [-21, 0], [5, -10], [-6, 3], [-1, -1], [-13, 26], [-12, 0], [3, 0], [-13, 26], [-15, 15], [-14, 7], [-1, 0], [22, -11], [4, -2], [9, -9], [14, -28], [0, 24], [-12, -12], [0, 0], [8, -8], [-19, 19], [4, -2], [14, -7], [-21, 0], [26, -13], [3, -6], [-37, 0], [-20, 0], [9, 0], [-21, 42], [10, -5], [-19, 38], [-8, 4], [33, -33], [0, -11], [-9, -9], [-8, 16], [18, 18], [-18, -18], [-20, 40], [26, -26], [0, -15], [1, -1], [0, -3], [27, 0], [23, -23], [15, 15], [25, 0], [24, 0], [-33, 0], [45, -45], [-22, 11], [0, 13], [0, 19], [-7, -7], [0, -36], [-4, -4], [0, -32], [-23, -23], [0, -21], [0, -39], [28, -14], [-34, 17], [-9, 18], [-47, 47], [3, 3], [11, -22], [8, 0], [7, -14], [7, 7], [3, -3], [-23, 46], [-14, 7], [48, -24], [0, 29], [-18, 18], [-5, -5], [-2, -2], [-20, 40], [-10, 10], [0, 9], [-14, 7], [25, -50], [7, -7], [7, 7], [37, 0], [10, 0], [-45, 0], [-9, -9], [-51, 51], [-44, 22], [45, -45], [1, 1], [6, -12], [-4, -4], [0, 16], [14, -28], [21, 21], [0, 39], [30, -15], [27, 0], [-29, 58], [50, -25], [23, 0], [54, 0], [4, 0], [-15, 0], [19, 0], [-6, 3], [0, 29], [30, -30], [-8, 16], [0, -18], [30, 30], [-12, 24], [25, -25], [0, 57], [48, -24], [39, 0], [47, -47], [-5, 10]], 'char_orbit_index': 19, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 1236984135869, 'hecke_ring_character_values': [[29, [1, -1]], [136, [0, 1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '189.2.s.a', 'level': 189, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 756, 'analytic_conductor': 1.5091725982021993, 'char_conductor': 63, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 19, 'char_orbit_label': 's', 'char_order': 6, 'char_parity': 1, 'char_values': [189, 6, [29, 136], [5, 1]], 'conrey_index': 17, 'cusp_dim': 36, 'dim': 12, 'eis_dim': 24, 'eis_new_dim': 8, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 1236984135869, 'hecke_orbit_dims': [2, 10], 'label': '189.2.s', 'level': 189, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 7], 'level_radical': 21, 'mf_dim': 60, 'mf_new_dim': 20, 'num_forms': 2, 'prim_orbit_index': 19, 'relative_dim': 6, 'sturm_bound': 48, 'trace_bound': 1, 'trace_display': [3, 0, 6, -2], 'traces': [12, 3, 0, 5, 6, 0, -2, 0, 0, -6, 0, 0, 3, -3, 0, -1, 9, 0, -6, 6, 0, 2, 0, 0, -6, -6, 0, -2, 24, 0, -15, -39, 0, -6, 0, 0, -1, -54, 0, 0, 6, 0, 2, -27, 0, -4, -15, 0, -12, 9, 0, 0, 24, 0, 0, 54, 0, 2, 18, 0, 36, -24, 0, 4, -6, 0, -6, 48, 0, -18, 0, 0, -6, 0, 0, 0, -48, 0, 12, 45, 0, 0, 30, 0, 9, 0, 0, 22, -27, 0, -15, -30, 0, -3, -27, 0, 3, -21, 0, -19, -42, 0, 0, 24, 0, 11, 9, 0, 8, -3, 0, 60, -9, 0, 0, 102, 0, 0, 18, 0, 38, 78, 0, -39, -42, 0, 24, 30, 0, -15, 18, 0, -3, 0, 0, 75, 0, 0, -30, -42, 0, -37, -6, 0, -3, 42, 0, -37, 0, 0, -4, -3, 0, 23, -30, 0, 33, -81, 0, 18, -3, 0, -12, -96, 0, 0, 60, 0, -45, -63, 0, 20, -48, 0, -56, 39, 0, 0, 54, 0, 0, 57, 0, -62, 15, 0, -30, -120, 0, -102, 21, 0, 5, -54, 0, 5, 0, 0, -27, 0, 0, 42, -102, 0, -6, 66, 0, -21, 9, 0, -1, 0, 0, 2, -15, 0, 15, -45, 0, -9, -18, 0, -45, -12, 0, 26, -6, 0, 0, 39, 0, 46, 72, 0, -24, 30, 0, -24, 18, 0, 0, 87, 0, 0, 60, 0, 54, 18, 0, 87, -132, 0, 14, 75, 0, -11, 90, 0, 18, 0, 0, -51, 0, 0, 12, 60, 0, 55, 0, 0, 15, 18, 0, 68, 0, 0, 36, 27, 0, 6, 6, 0, 9, -114, 0, 81, 63, 0, 15, -84, 0, 0, 3, 0, 15, -93, 0, -22, -12, 0, 75, 39, 0, 0, 33, 0, 0, 9, 0, 12, -27, 0, -39, 66, 0, 94, -42, 0, 32, 0, 0, 38, 0, 0, 21, 0, 0, -144, -21, 0, -37, 63, 0, 36, 39, 0, -49, 0, 0, -108, -42, 0, 49, -33, 0, 6, -57, 0, 51, -24, 0, 18, 42, 0, 0, -36, 0, -94, 57, 0, -30, 54, 0, -78, -63, 0, 0, -105, 0, 0, 18, 0, -60, 3, 0, -84, -6, 0, -94, 81, 0, 50, 108, 0, 15, 0, 0, -96, 0, 0, 123, 12, 0, 17, -42, 0, -39, -45, 0, 17, 0, 0, -72, 42, 0, -70, -21, 0, -126, 3, 0, -156, -9, 0, 33, -78, 0, 0, 21, 0, 54, -111, 0, 22, -78, 0, -45, 51, 0, 0, 0, 0, 0, -33, 0, 2, -6, 0, 123, 48, 0, 24, -114, 0, -15, -180, 0, -57, 0, 0, -18, 0, 0, 60, -3, 0, 11, 0, 0, 117, -42, 0, 42, 0, 0, 80, -48, 0, -55, 96, 0, 87, 99, 0, 12, -54, 0, -4, 192, 0, 0, -51, 0, 55, 93, 0, 56, -69, 0, 138, 30, 0, 0, -36, 0, 0, 36, 0, -22, 30, 0, -135, -24, 0, 120, 60, 0, -20, 84, 0, 21, 0, 0, 174, 0, 0, -51, 75, 0, -9, -12, 0, 9, -90, 0, -109, 0, 0, 92, 69, 0, -27, 141, 0, 60, 159, 0, 30, 63, 0, -3, -96, 0, 0, -36, 0, -87, 156, 0, 5, 57, 0, -76, -90, 0, 0, -48, 0, 0, -117, 0, -22, -96, 0, -96, 222, 0, -206, -162, 0, -24, -102, 0, 111, 0, 0, -27, 0, 0, 117, -6, 0, 56, -66, 0, -189, 57, 0, -3, 0, 0, 30, -90, 0, 18, -42, 0, 0, 132, 0, -111, -120, 0, -16, 66, 0, 0, -39, 0, 54, -15, 0, -33, 111, 0, 7, -159, 0, 0, -36, 0, 0, -93, 0, -120, 30, 0, 315, 198, 0, 54, 111, 0, -85, 72, 0, -84, 0, 0, -96, 0, 0, -39, 132, 0, -24, -99, 0, 57, -18, 0, 124, 0, 0, 60, 39, 0, 78, -39, 0, 105, 93, 0, 162, 60, 0, -58, 294, 0, 0, -15, 0, 56, -120, 0, 47, -27, 0, 156, -72, 0, 0, -153, 0, 0, -126, 0, 162, -36, 0, -87, 66, 0, 152, -204, 0, 21, -78, 0, -101, 0, 0, 75, 0, 0, -291, -30, 0, -40, -21, 0, -6, -15, 0, -42, 0, 0, -196, 42, 0, 3, -48, 0, 9, 72, 0, 84, -27, 0, -36, 12, 0, 0, -87, 0, -102, -12, 0, 3, 51, 0, -208, 12, 0, 0, -99, 0, 0, -36, 0, -64, -27, 0, -171, -102, 0, -208, -3, 0, 57, 24, 0, 60, 0, 0, -6, 0, 0, 126, 99, 0, 44, -120, 0, -42, -99, 0, -34, 0, 0, -40, 96, 0, -130, 96, 0, -144, 144, 0, -249, 126, 0, -45, 132, 0, 0, -36, 0, 75, 114, 0, -28, -3, 0, 3, 141, 0, 0, -198, 0, 0, -33, 0, 34, -144, 0, 66, 84, 0, 78, -18, 0, 6, -252, 0, -36, 0, 0, -42, 0, 0, 123, -39, 0, 30, -48, 0, 315, 21, 0, 68, 0, 0, 74, -15, 0, -26, 111, 0, -60, -129, 0, 27, 18, 0, 13, 60, 0, 0, -57, 0, 32, 219, 0, 54, 129, 0, 78, -6, 0, 0, 72, 0, 0, -63, 0, 48, -129, 0, -21, 228, 0, 188, -18, 0, -7, -156, 0, -79, 0, 0, 81, 0, 0, -123, 189, 0, -31, -54, 0, -42, -87, 0, -107, 0, 0, 62, 48, 0, 132, -30, 0, 117, 141, 0, 84, 9, 0, 56, 96, 0, 0, 87, 0, -100, -306, 0, -48, -81, 0, -135, 147, 0, 0, -117, 0, 0, -210, 0, 66, -48, 0, 81, 60, 0, -194, 39, 0, 12, -6, 0, 75, 0, 0, 12, 0, 0, 330, 54, 0, -81, 3, 0, -204, -69, 0, 9, 0, 0, 66, 69, 0, 36, -6, 0, -150, 123, 0, -183, 60, 0, 50, 330, 0, 0, -21, 0, 63, 126, 0, -43, 60, 0, 74, 63, 0, 0, -165, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 154828
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '189.2.s.a', 'source_level': 189, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '63.2.i.a', 'target_level': 63, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 154829
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '189.2.s.a', 'source_level': 189, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '63.2.i.a', 'target_level': 63, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 154830
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '189.2.s.a', 'source_level': 189, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '63.2.s.a', 'target_level': 63, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 154831
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '189.2.s.a', 'source_level': 189, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '63.2.s.a', 'target_level': 63, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '63.k', 'twisting_char_orbit': 11, 'weight': 2}
-
id: 154832
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '189.2.s.a', 'source_level': 189, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '189.2.i.a', 'target_level': 189, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
-
id: 154833
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '189.2.s.a', 'source_level': 189, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '189.2.i.a', 'target_level': 189, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
-
id: 154834
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 19, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '189.2.s.a', 'source_level': 189, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '189.2.s.a', 'target_level': 189, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
-
id: 154835
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '189.2.s.a', 'source_level': 189, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '189.2.s.a', 'target_level': 189, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '63.s', 'twisting_char_orbit': 19, 'weight': 2}
-
id: 154836
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '189.2.s.a', 'source_level': 189, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '441.2.i.a', 'target_level': 441, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
-
id: 154837
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '189.2.s.a', 'source_level': 189, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '441.2.i.a', 'target_level': 441, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '63.l', 'twisting_char_orbit': 12, 'weight': 2}
-
id: 154838
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '189.2.s.a', 'source_level': 189, 'target_char_orbit': 15, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '441.2.o.a', 'target_level': 441, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
-
id: 154839
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '189.2.s.a', 'source_level': 189, 'target_char_orbit': 15, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '441.2.o.a', 'target_level': 441, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '63.h', 'twisting_char_orbit': 8, 'weight': 2}
-
id: 154840
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '189.2.s.a', 'source_level': 189, 'target_char_orbit': 15, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '441.2.o.b', 'target_level': 441, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
-
id: 154841
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '189.2.s.a', 'source_level': 189, 'target_char_orbit': 15, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '441.2.o.b', 'target_level': 441, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '63.t', 'twisting_char_orbit': 20, 'weight': 2}
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id: 154842
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '189.2.s.a', 'source_level': 189, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '441.2.s.a', 'target_level': 441, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 154843
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '189.2.s.a', 'source_level': 189, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '441.2.s.a', 'target_level': 441, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '63.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 154844
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '189.2.s.a', 'source_level': 189, 'target_char_orbit': 16, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '567.2.p.a', 'target_level': 567, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 154845
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '189.2.s.a', 'source_level': 189, 'target_char_orbit': 16, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '567.2.p.a', 'target_level': 567, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '63.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 154846
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '189.2.s.a', 'source_level': 189, 'target_char_orbit': 16, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '567.2.p.b', 'target_level': 567, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 154847
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '189.2.s.a', 'source_level': 189, 'target_char_orbit': 16, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '567.2.p.b', 'target_level': 567, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '63.t', 'twisting_char_orbit': 20, 'weight': 2}
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id: 154848
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '189.2.s.a', 'source_level': 189, 'target_char_orbit': 53, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1008.2.ca.a', 'target_level': 1008, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 154849
{'conductor': 84, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '189.2.s.a', 'source_level': 189, 'target_char_orbit': 53, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1008.2.ca.a', 'target_level': 1008, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '84.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 154850
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '189.2.s.a', 'source_level': 189, 'target_char_orbit': 84, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1008.2.df.a', 'target_level': 1008, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 154851
{'conductor': 252, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '189.2.s.a', 'source_level': 189, 'target_char_orbit': 84, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1008.2.df.a', 'target_level': 1008, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '252.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 154852
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '189.2.s.a', 'source_level': 189, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1323.2.i.a', 'target_level': 1323, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 154853
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '189.2.s.a', 'source_level': 189, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1323.2.i.a', 'target_level': 1323, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '63.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 154854
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '189.2.s.a', 'source_level': 189, 'target_char_orbit': 15, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1323.2.o.a', 'target_level': 1323, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 154855
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '189.2.s.a', 'source_level': 189, 'target_char_orbit': 15, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1323.2.o.a', 'target_level': 1323, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '63.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 154856
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '189.2.s.a', 'source_level': 189, 'target_char_orbit': 15, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1323.2.o.b', 'target_level': 1323, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 154857
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '189.2.s.a', 'source_level': 189, 'target_char_orbit': 15, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1323.2.o.b', 'target_level': 1323, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '63.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 154858
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '189.2.s.a', 'source_level': 189, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1323.2.s.a', 'target_level': 1323, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 154859
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '189.2.s.a', 'source_level': 189, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1323.2.s.a', 'target_level': 1323, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '63.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 154860
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '189.2.s.a', 'source_level': 189, 'target_char_orbit': 53, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '3024.2.ca.a', 'target_level': 3024, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '28.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 154861
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '189.2.s.a', 'source_level': 189, 'target_char_orbit': 53, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '3024.2.ca.a', 'target_level': 3024, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 154862
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '189.2.s.a', 'source_level': 189, 'target_char_orbit': 84, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '3024.2.df.a', 'target_level': 3024, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 154863
{'conductor': 252, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '189.2.s.a', 'source_level': 189, 'target_char_orbit': 84, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '3024.2.df.a', 'target_level': 3024, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '252.bn', 'twisting_char_orbit': 40, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 473050
{'charpoly_factorization': [[[3, -3, 1], 1]], 'hecke_orbit_code': 1236984135869, 'p': 2}
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id: 473051
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 1236984135869, 'p': 3}
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id: 473052
{'charpoly_factorization': [[[-3, 1], 2]], 'hecke_orbit_code': 1236984135869, 'p': 5}
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id: 473053
{'charpoly_factorization': [[[7, 5, 1], 1]], 'hecke_orbit_code': 1236984135869, 'p': 7}
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id: 473054
{'charpoly_factorization': [[[3, 0, 1], 1]], 'hecke_orbit_code': 1236984135869, 'p': 11}
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id: 473055
{'charpoly_factorization': [[[3, 3, 1], 1]], 'hecke_orbit_code': 1236984135869, 'p': 13}
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id: 473056
{'charpoly_factorization': [[[9, 3, 1], 1]], 'hecke_orbit_code': 1236984135869, 'p': 17}
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id: 473057
{'charpoly_factorization': [[[27, 9, 1], 1]], 'hecke_orbit_code': 1236984135869, 'p': 19}
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id: 473058
{'charpoly_factorization': [[[27, 0, 1], 1]], 'hecke_orbit_code': 1236984135869, 'p': 23}
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id: 473059
{'charpoly_factorization': [[[27, -9, 1], 1]], 'hecke_orbit_code': 1236984135869, 'p': 29}
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id: 473060
{'charpoly_factorization': [[[12, 6, 1], 1]], 'hecke_orbit_code': 1236984135869, 'p': 31}
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id: 473061
{'charpoly_factorization': [[[49, 7, 1], 1]], 'hecke_orbit_code': 1236984135869, 'p': 37}
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id: 473062
{'charpoly_factorization': [[[9, 3, 1], 1]], 'hecke_orbit_code': 1236984135869, 'p': 41}
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id: 473063
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 1236984135869, 'p': 43}
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id: 473064
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 1236984135869, 'p': 47}
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id: 473065
{'charpoly_factorization': [[[75, -15, 1], 1]], 'hecke_orbit_code': 1236984135869, 'p': 53}
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id: 473066
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 1236984135869, 'p': 59}
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id: 473067
{'charpoly_factorization': [[[192, -24, 1], 1]], 'hecke_orbit_code': 1236984135869, 'p': 61}
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id: 473068
{'charpoly_factorization': [[[16, -4, 1], 1]], 'hecke_orbit_code': 1236984135869, 'p': 67}
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id: 473069
{'charpoly_factorization': [[[12, 0, 1], 1]], 'hecke_orbit_code': 1236984135869, 'p': 71}
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id: 473070
{'charpoly_factorization': [[[27, 9, 1], 1]], 'hecke_orbit_code': 1236984135869, 'p': 73}
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id: 473071
{'charpoly_factorization': [[[64, 8, 1], 1]], 'hecke_orbit_code': 1236984135869, 'p': 79}
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id: 473072
{'charpoly_factorization': [[[225, -15, 1], 1]], 'hecke_orbit_code': 1236984135869, 'p': 83}
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id: 473073
{'charpoly_factorization': [[[9, 3, 1], 1]], 'hecke_orbit_code': 1236984135869, 'p': 89}
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id: 473074
{'charpoly_factorization': [[[3, 3, 1], 1]], 'hecke_orbit_code': 1236984135869, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 19, 'hecke_orbit': 1, 'label': '189.2.s.a', 'level': 189, 'portrait': 'data:image/png;base64,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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 48619000
{'hecke_orbit_code': 1236984135869, 'n': 1, 'trace_an': 2}
-
id: 48619001
{'hecke_orbit_code': 1236984135869, 'n': 2, 'trace_an': 3}
-
id: 48619002
{'hecke_orbit_code': 1236984135869, 'n': 3, 'trace_an': 0}
-
id: 48619003
{'hecke_orbit_code': 1236984135869, 'n': 4, 'trace_an': 1}
-
id: 48619004
{'hecke_orbit_code': 1236984135869, 'n': 5, 'trace_an': 6}
-
id: 48619005
{'hecke_orbit_code': 1236984135869, 'n': 6, 'trace_an': 0}
-
id: 48619006
{'hecke_orbit_code': 1236984135869, 'n': 7, 'trace_an': -5}
-
id: 48619007
{'hecke_orbit_code': 1236984135869, 'n': 8, 'trace_an': 0}
-
id: 48619008
{'hecke_orbit_code': 1236984135869, 'n': 9, 'trace_an': 0}
-
id: 48619009
{'hecke_orbit_code': 1236984135869, 'n': 10, 'trace_an': 9}
-
id: 48619010
{'hecke_orbit_code': 1236984135869, 'n': 11, 'trace_an': 0}
-
id: 48619011
{'hecke_orbit_code': 1236984135869, 'n': 12, 'trace_an': 0}
-
id: 48619012
{'hecke_orbit_code': 1236984135869, 'n': 13, 'trace_an': -3}
-
id: 48619013
{'hecke_orbit_code': 1236984135869, 'n': 14, 'trace_an': -9}
-
id: 48619014
{'hecke_orbit_code': 1236984135869, 'n': 15, 'trace_an': 0}
-
id: 48619015
{'hecke_orbit_code': 1236984135869, 'n': 16, 'trace_an': 5}
-
id: 48619016
{'hecke_orbit_code': 1236984135869, 'n': 17, 'trace_an': -3}
-
id: 48619017
{'hecke_orbit_code': 1236984135869, 'n': 18, 'trace_an': 0}
-
id: 48619018
{'hecke_orbit_code': 1236984135869, 'n': 19, 'trace_an': -9}
-
id: 48619019
{'hecke_orbit_code': 1236984135869, 'n': 20, 'trace_an': 3}
-
id: 48619020
{'hecke_orbit_code': 1236984135869, 'n': 21, 'trace_an': 0}
-
id: 48619021
{'hecke_orbit_code': 1236984135869, 'n': 22, 'trace_an': -3}
-
id: 48619022
{'hecke_orbit_code': 1236984135869, 'n': 23, 'trace_an': 0}
-
id: 48619023
{'hecke_orbit_code': 1236984135869, 'n': 24, 'trace_an': 0}
-
id: 48619024
{'hecke_orbit_code': 1236984135869, 'n': 25, 'trace_an': 8}
-
id: 48619025
{'hecke_orbit_code': 1236984135869, 'n': 26, 'trace_an': -3}
-
id: 48619026
{'hecke_orbit_code': 1236984135869, 'n': 27, 'trace_an': 0}
-
id: 48619027
{'hecke_orbit_code': 1236984135869, 'n': 28, 'trace_an': -4}
-
id: 48619028
{'hecke_orbit_code': 1236984135869, 'n': 29, 'trace_an': 9}
-
id: 48619029
{'hecke_orbit_code': 1236984135869, 'n': 30, 'trace_an': 0}
-
id: 48619030
{'hecke_orbit_code': 1236984135869, 'n': 31, 'trace_an': -6}
-
id: 48619031
{'hecke_orbit_code': 1236984135869, 'n': 32, 'trace_an': 9}
-
id: 48619032
{'hecke_orbit_code': 1236984135869, 'n': 33, 'trace_an': 0}
-
id: 48619033
{'hecke_orbit_code': 1236984135869, 'n': 34, 'trace_an': -9}
-
id: 48619034
{'hecke_orbit_code': 1236984135869, 'n': 35, 'trace_an': -15}
-
id: 48619035
{'hecke_orbit_code': 1236984135869, 'n': 36, 'trace_an': 0}
-
id: 48619036
{'hecke_orbit_code': 1236984135869, 'n': 37, 'trace_an': -7}
-
id: 48619037
{'hecke_orbit_code': 1236984135869, 'n': 38, 'trace_an': -18}
-
id: 48619038
{'hecke_orbit_code': 1236984135869, 'n': 39, 'trace_an': 0}
-
id: 48619039
{'hecke_orbit_code': 1236984135869, 'n': 40, 'trace_an': 0}
-
id: 48619040
{'hecke_orbit_code': 1236984135869, 'n': 41, 'trace_an': -3}
-
id: 48619041
{'hecke_orbit_code': 1236984135869, 'n': 42, 'trace_an': 0}
-
id: 48619042
{'hecke_orbit_code': 1236984135869, 'n': 43, 'trace_an': -1}
-
id: 48619043
{'hecke_orbit_code': 1236984135869, 'n': 44, 'trace_an': -3}
-
id: 48619044
{'hecke_orbit_code': 1236984135869, 'n': 45, 'trace_an': 0}
-
id: 48619045
{'hecke_orbit_code': 1236984135869, 'n': 46, 'trace_an': 9}
-
id: 48619046
{'hecke_orbit_code': 1236984135869, 'n': 47, 'trace_an': 0}
-
id: 48619047
{'hecke_orbit_code': 1236984135869, 'n': 48, 'trace_an': 0}
-
id: 48619048
{'hecke_orbit_code': 1236984135869, 'n': 49, 'trace_an': 11}
-
id: 48619049
{'hecke_orbit_code': 1236984135869, 'n': 50, 'trace_an': 12}
-
id: 48619050
{'hecke_orbit_code': 1236984135869, 'n': 51, 'trace_an': 0}
-
id: 48619051
{'hecke_orbit_code': 1236984135869, 'n': 52, 'trace_an': 0}
-
id: 48619052
{'hecke_orbit_code': 1236984135869, 'n': 53, 'trace_an': 15}
-
id: 48619053
{'hecke_orbit_code': 1236984135869, 'n': 54, 'trace_an': 0}
-
id: 48619054
{'hecke_orbit_code': 1236984135869, 'n': 55, 'trace_an': 0}
-
id: 48619055
{'hecke_orbit_code': 1236984135869, 'n': 56, 'trace_an': 3}
-
id: 48619056
{'hecke_orbit_code': 1236984135869, 'n': 57, 'trace_an': 0}
-
id: 48619057
{'hecke_orbit_code': 1236984135869, 'n': 58, 'trace_an': 18}
-
id: 48619058
{'hecke_orbit_code': 1236984135869, 'n': 59, 'trace_an': 0}
-
id: 48619059
{'hecke_orbit_code': 1236984135869, 'n': 60, 'trace_an': 0}
-
id: 48619060
{'hecke_orbit_code': 1236984135869, 'n': 61, 'trace_an': 24}
-
id: 48619061
{'hecke_orbit_code': 1236984135869, 'n': 62, 'trace_an': -12}
-
id: 48619062
{'hecke_orbit_code': 1236984135869, 'n': 63, 'trace_an': 0}
-
id: 48619063
{'hecke_orbit_code': 1236984135869, 'n': 64, 'trace_an': -2}
-
id: 48619064
{'hecke_orbit_code': 1236984135869, 'n': 65, 'trace_an': -9}
-
id: 48619065
{'hecke_orbit_code': 1236984135869, 'n': 66, 'trace_an': 0}
-
id: 48619066
{'hecke_orbit_code': 1236984135869, 'n': 67, 'trace_an': 4}
-
id: 48619067
{'hecke_orbit_code': 1236984135869, 'n': 68, 'trace_an': -6}
-
id: 48619068
{'hecke_orbit_code': 1236984135869, 'n': 69, 'trace_an': 0}
-
id: 48619069
{'hecke_orbit_code': 1236984135869, 'n': 70, 'trace_an': -27}
-
id: 48619070
{'hecke_orbit_code': 1236984135869, 'n': 71, 'trace_an': 0}
-
id: 48619071
{'hecke_orbit_code': 1236984135869, 'n': 72, 'trace_an': 0}
-
id: 48619072
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