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mf_newforms • Show schema
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{'Nk2': 14112, 'analytic_conductor': 52.039684625063224, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 3, 'char_parity': 1, 'char_values': [882, 3, [785, 199], [3, 2]], 'cm_discs': [], 'conrey_indexes': [361, 667], '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': [[5, [49, 7, 1]], [11, [1225, -35, 1]], [13, [66, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13511211266081650, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '882.4.g.d', 'level': 882, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'minimal_twist': '14.4.c.b', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q-2\\zeta_{6}q^{2}+(-4+4\\zeta_{6})q^{4}-7\\zeta_{6}q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '3.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '882.4.g', 'trace_display': [-2, 0, -7, 0], 'trace_hash': 309417797670440310, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.038', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.945', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.432', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '103.062', 'prec': 24}], 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, -2], [0, 0], [-4, 4], [0, -7], [0, 0], [0, 0], [8, 0], [0, 0], [-14, 14], [35, -35], [0, 0], [-66, 0], [0, 0], [0, 0], [0, -16], [-59, 59], [0, 0], [0, 137], [28, 0], [0, 0], [-70, 0], [0, -7], [0, 0], [76, -76], [0, 132], [0, 0], [0, 0], [-106, 0], [0, 0], [75, -75], [-32, 32], [0, 0], [118, 0], [0, 0], [0, 0], [0, -11], [274, -274], [0, 0], [0, -56], [-498, 0], [0, 0], [260, 0], [0, 140], [0, 0], [-14, 14], [0, 171], [0, 0], [0, 0], [-152, 0], [0, 0], [264, -264], [-417, 417], [0, 0], [-245, 0], [0, 0], [0, 0], [0, 212], [17, -17], [0, 0], [0, 51], [-150, 0], [0, 0], [64, 0], [0, 462], [0, 0], [-439, 439], [0, -236], [0, 0], [0, 0], [784, 0], [0, 0], [295, -295], [-22, 22], [0, 0], [-548, 0], [0, 0], [0, 0], [0, 495], [-112, 112], [0, 0], [0, 996], [932, 0], [0, 0], [413, 0], [0, -520], [0, 0], [280, -280], [0, 873], [0, 0], [0, 0], [28, 0], [0, 0], [342, -342], [959, -959], [0, 0], [290, 0], [0, 0], [0, 0], [0, 304]], 'ap': [[0, -2], [0, 0], [0, -7], [0, 0], [35, -35], [-66, 0], [-59, 59], [0, 137], [0, -7], [-106, 0], [75, -75], [0, -11], [-498, 0], [260, 0], [0, 171], [-417, 417], [17, -17], [0, 51], [-439, 439], [784, 0], [295, -295], [0, 495], [932, 0], [0, 873], [290, 0], [1085, -1085], [0, 1553], [0, 129], [965, -965], [50, 0], [936, 0], [0, 755], [-2357, 2357], [-28, 0], [0, 2295], [1109, -1109], [1559, -1559], [0, 2251], [2788, 0], [0, -1579], [2451, -2451], [1170, 0], [0, -1275], [-35, 35], [2734, 0], [2243, -2243], [1172, 0], [-2024, 0], [-2571, 2571], [0, 895], [0, 1787], [5100, 0], [-4177, 4177], [-4680, 0], [0, 1749], [-4473, 4473], [-1975, 1975], [0, -8439], [-527, 527], [202, 0], [-7949, 7949], [318, 0], [8132, 0], [929, -929], [0, -209], [0, 7131], [0, 6571], [-11466, 0], [-9777, 9777], [-11914, 0], [-9123, 9123], [0, 8149], [9671, -9671], [0, 4109], [-3488, 0], [0, -8717], [163, -163], [0, 999], [0, -14757], [-133, 133], [-6420, 0], [10266, 0], [-15213, 15213], [1378, 0], [0, -2763], [0, 5849], [-4582, 0], [0, -11551], [-9494, 0], [-10160, 0], [0, 1307], [-18287, 18287], [14953, -14953], [-14352, 0], [0, 5531], [8400, 0], [0, 2385], [9153, -9153], [0, -13807], [0, -8175], [4656, 0], [7003, -7003], [19753, -19753], [0, -6897], [-24915, 24915], [127, -127], [9044, 0], [0, 10701], [20799, -20799], [1402, 0], [0, 6525], [-15051, 15051], [-11150, 0], [3415, -3415], [-21184, 0], [-10705, 10705], [-6860, 0], [-14463, 14463], [0, 5979], [6940, 0], [13399, -13399], [29510, 0], [0, 26001], [-8805, 8805], [0, 28685], [3146, 0], [0, -1259], [0, -16425], [6032, 0], [0, 15243], [10053, -10053], [-24384, 0], [0, -11589], [14562, 0], [0, 22765], [-3766, 0], [26861, -26861], [-2097, 2097], [-35334, 0], [42535, -42535], [-30676, 0], [0, 37343], [-2815, 2815], [9276, 0], [18571, -18571], [29048, 0], [-32090, 0], [24537, -24537], [0, 20825], [0, -22847], [0, 42737], [6162, 0], [7748, 0], [0, 25923], [-31935, 31935], [-3408, 0], [0, -13909], [0, 24537], [32758, 0], [38561, -38561], [0, 39661], [46618, 0], [14816, 0], [0, 16875], [-15837, 15837], [-9915, 9915], [43681, -43681], [-47113, 47113]], 'char_orbit_index': 7, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 13511211266081650, 'hecke_ring_character_values': [[785, [1, 0]], [199, [0, -1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '882.4.g.d', 'level': 882, 'maxp': 997, 'weight': 4}
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mf_newspaces • Show schema
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{'Nk2': 14112, 'analytic_conductor': 52.039684625063224, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 3, 'char_parity': 1, 'char_values': [882, 3, [785, 199], [3, 2]], 'conrey_indexes': [361, 667], 'cusp_dim': 944, 'dim': 100, 'eis_dim': 128, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 13], 'hecke_orbit_code': 412383970162, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], 'label': '882.4.g', 'level': 882, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'mf_dim': 1072, 'mf_new_dim': 100, 'num_forms': 37, 'prim_orbit_index': 3, 'relative_dim': 50, 'sturm_bound': 672, 'trace_bound': 13, 'trace_display': [0, 0, 18, 0], 'traces': [100, 0, 0, -200, 18, 0, 0, 0, 0, -8, 2, 0, 192, 0, 0, -800, 150, 0, -46, -144, 0, 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0, -59094, 72288, 0, 313616, 0, 0, -192700, -45264, 0, 60968, -270012, 0, -444544, 4736, 0, 58664, -10254, 0, 0, -132352, 0, 4704, -91638, 0, 47748, 0, 0, 69624, -2658, 0, 34172, 59088, 0, -283200, -262336, 0, -176818, 29952, 0, 0, 79092, 0, -32014, 134088, 0, -102336], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 553952
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '882.4.g.d', 'source_level': 882, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '14.4.c.b', 'target_level': 14, 'twist_class_label': '14.4.c.b', 'twist_class_level': 14, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 553953
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '882.4.g.d', 'source_level': 882, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '14.4.c.b', 'target_level': 14, 'twist_class_label': '14.4.c.b', 'twist_class_level': 14, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 4}
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id: 553954
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '882.4.g.d', 'source_level': 882, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '98.4.a.b', 'target_level': 98, 'twist_class_label': '14.4.c.b', 'twist_class_level': 14, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 4}
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id: 553955
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '882.4.g.d', 'source_level': 882, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '98.4.a.c', 'target_level': 98, 'twist_class_label': '14.4.c.b', 'twist_class_level': 14, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 553956
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '882.4.g.d', 'source_level': 882, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '98.4.c.e', 'target_level': 98, 'twist_class_label': '14.4.c.b', 'twist_class_level': 14, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 553957
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '882.4.g.d', 'source_level': 882, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '98.4.c.e', 'target_level': 98, 'twist_class_label': '14.4.c.b', 'twist_class_level': 14, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 553958
{'conductor': 84, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '882.4.g.d', 'source_level': 882, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '112.4.i.b', 'target_level': 112, 'twist_class_label': '14.4.c.b', 'twist_class_level': 14, 'twisting_char_label': '84.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 553959
{'conductor': 84, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '882.4.g.d', 'source_level': 882, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '112.4.i.b', 'target_level': 112, 'twist_class_label': '14.4.c.b', 'twist_class_level': 14, 'twisting_char_label': '84.j', 'twisting_char_orbit': 10, 'weight': 4}
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id: 553960
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '882.4.g.d', 'source_level': 882, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '126.4.g.c', 'target_level': 126, 'twist_class_label': '14.4.c.b', 'twist_class_level': 14, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 553961
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '882.4.g.d', 'source_level': 882, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '126.4.g.c', 'target_level': 126, 'twist_class_label': '14.4.c.b', 'twist_class_level': 14, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 553962
{'conductor': 105, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '882.4.g.d', 'source_level': 882, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '350.4.e.b', 'target_level': 350, 'twist_class_label': '14.4.c.b', 'twist_class_level': 14, 'twisting_char_label': '105.g', 'twisting_char_orbit': 7, 'weight': 4}
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id: 553963
{'conductor': 105, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '882.4.g.d', 'source_level': 882, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '350.4.e.b', 'target_level': 350, 'twist_class_label': '14.4.c.b', 'twist_class_level': 14, 'twisting_char_label': '105.p', 'twisting_char_orbit': 16, 'weight': 4}
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id: 553964
{'conductor': 105, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '882.4.g.d', 'source_level': 882, 'target_char_orbit': 10, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '350.4.j.d', 'target_level': 350, 'twist_class_label': '14.4.c.b', 'twist_class_level': 14, 'twisting_char_label': '105.k', 'twisting_char_orbit': 11, 'weight': 4}
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id: 553965
{'conductor': 105, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '882.4.g.d', 'source_level': 882, 'target_char_orbit': 10, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '350.4.j.d', 'target_level': 350, 'twist_class_label': '14.4.c.b', 'twist_class_level': 14, 'twisting_char_label': '105.w', 'twisting_char_orbit': 23, 'weight': 4}
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id: 553966
{'conductor': 168, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '882.4.g.d', 'source_level': 882, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '448.4.i.c', 'target_level': 448, 'twist_class_label': '14.4.c.b', 'twist_class_level': 14, 'twisting_char_label': '168.i', 'twisting_char_orbit': 9, 'weight': 4}
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id: 553967
{'conductor': 168, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '882.4.g.d', 'source_level': 882, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '448.4.i.c', 'target_level': 448, 'twist_class_label': '14.4.c.b', 'twist_class_level': 14, 'twisting_char_label': '168.ba', 'twisting_char_orbit': 27, 'weight': 4}
-
id: 553968
{'conductor': 168, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '882.4.g.d', 'source_level': 882, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '448.4.i.d', 'target_level': 448, 'twist_class_label': '14.4.c.b', 'twist_class_level': 14, 'twisting_char_label': '168.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 553969
{'conductor': 168, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '882.4.g.d', 'source_level': 882, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '448.4.i.d', 'target_level': 448, 'twist_class_label': '14.4.c.b', 'twist_class_level': 14, 'twisting_char_label': '168.be', 'twisting_char_orbit': 31, 'weight': 4}
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id: 553970
{'conductor': 84, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '882.4.g.d', 'source_level': 882, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '784.4.a.j', 'target_level': 784, 'twist_class_label': '14.4.c.b', 'twist_class_level': 14, 'twisting_char_label': '84.n', 'twisting_char_orbit': 14, 'weight': 4}
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id: 553971
{'conductor': 84, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '882.4.g.d', 'source_level': 882, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '784.4.a.l', 'target_level': 784, 'twist_class_label': '14.4.c.b', 'twist_class_level': 14, 'twisting_char_label': '84.j', 'twisting_char_orbit': 10, 'weight': 4}
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id: 553972
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '882.4.g.d', 'source_level': 882, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '882.4.a.k', 'target_level': 882, 'twist_class_label': '14.4.c.b', 'twist_class_level': 14, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 553973
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '882.4.g.d', 'source_level': 882, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '882.4.a.p', 'target_level': 882, 'twist_class_label': '14.4.c.b', 'twist_class_level': 14, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 553974
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '882.4.g.d', 'source_level': 882, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '882.4.g.d', 'target_level': 882, 'twist_class_label': '14.4.c.b', 'twist_class_level': 14, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 553975
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '882.4.g.d', 'source_level': 882, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '882.4.g.d', 'target_level': 882, 'twist_class_label': '14.4.c.b', 'twist_class_level': 14, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 553976
{'conductor': 105, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '882.4.g.d', 'source_level': 882, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 32, 'target_is_minimal': False, 'target_label': '2450.4.a.bf', 'target_level': 2450, 'twist_class_label': '14.4.c.b', 'twist_class_level': 14, 'twisting_char_label': '105.o', 'twisting_char_orbit': 15, 'weight': 4}
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id: 553977
{'conductor': 105, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '882.4.g.d', 'source_level': 882, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 34, 'target_is_minimal': False, 'target_label': '2450.4.a.bh', 'target_level': 2450, 'twist_class_label': '14.4.c.b', 'twist_class_level': 14, 'twisting_char_label': '105.p', 'twisting_char_orbit': 16, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1447575
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 13511211266081650, 'p': 2}
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id: 1447576
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511211266081650, 'p': 3}
-
id: 1447577
{'charpoly_factorization': [[[49, 7, 1], 1]], 'hecke_orbit_code': 13511211266081650, 'p': 5}
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id: 1447578
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511211266081650, 'p': 7}
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id: 1447579
{'charpoly_factorization': [[[1225, -35, 1], 1]], 'hecke_orbit_code': 13511211266081650, 'p': 11}
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id: 1447580
{'charpoly_factorization': [[[66, 1], 2]], 'hecke_orbit_code': 13511211266081650, 'p': 13}
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id: 1447581
{'charpoly_factorization': [[[3481, 59, 1], 1]], 'hecke_orbit_code': 13511211266081650, 'p': 17}
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id: 1447582
{'charpoly_factorization': [[[18769, -137, 1], 1]], 'hecke_orbit_code': 13511211266081650, 'p': 19}
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id: 1447583
{'charpoly_factorization': [[[49, 7, 1], 1]], 'hecke_orbit_code': 13511211266081650, 'p': 23}
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id: 1447584
{'charpoly_factorization': [[[106, 1], 2]], 'hecke_orbit_code': 13511211266081650, 'p': 29}
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id: 1447585
{'charpoly_factorization': [[[5625, -75, 1], 1]], 'hecke_orbit_code': 13511211266081650, 'p': 31}
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id: 1447586
{'charpoly_factorization': [[[121, 11, 1], 1]], 'hecke_orbit_code': 13511211266081650, 'p': 37}
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id: 1447587
{'charpoly_factorization': [[[498, 1], 2]], 'hecke_orbit_code': 13511211266081650, 'p': 41}
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id: 1447588
{'charpoly_factorization': [[[-260, 1], 2]], 'hecke_orbit_code': 13511211266081650, 'p': 43}
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id: 1447589
{'charpoly_factorization': [[[29241, -171, 1], 1]], 'hecke_orbit_code': 13511211266081650, 'p': 47}
-
id: 1447590
{'charpoly_factorization': [[[173889, 417, 1], 1]], 'hecke_orbit_code': 13511211266081650, 'p': 53}
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id: 1447591
{'charpoly_factorization': [[[289, -17, 1], 1]], 'hecke_orbit_code': 13511211266081650, 'p': 59}
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id: 1447592
{'charpoly_factorization': [[[2601, -51, 1], 1]], 'hecke_orbit_code': 13511211266081650, 'p': 61}
-
id: 1447593
{'charpoly_factorization': [[[192721, 439, 1], 1]], 'hecke_orbit_code': 13511211266081650, 'p': 67}
-
id: 1447594
{'charpoly_factorization': [[[-784, 1], 2]], 'hecke_orbit_code': 13511211266081650, 'p': 71}
-
id: 1447595
{'charpoly_factorization': [[[87025, -295, 1], 1]], 'hecke_orbit_code': 13511211266081650, 'p': 73}
-
id: 1447596
{'charpoly_factorization': [[[245025, -495, 1], 1]], 'hecke_orbit_code': 13511211266081650, 'p': 79}
-
id: 1447597
{'charpoly_factorization': [[[-932, 1], 2]], 'hecke_orbit_code': 13511211266081650, 'p': 83}
-
id: 1447598
{'charpoly_factorization': [[[762129, -873, 1], 1]], 'hecke_orbit_code': 13511211266081650, 'p': 89}
-
id: 1447599
{'charpoly_factorization': [[[-290, 1], 2]], 'hecke_orbit_code': 13511211266081650, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 7, 'hecke_orbit': 4, 'label': '882.4.g.d', 'level': 882, 'portrait': 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', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 142658000
{'hecke_orbit_code': 13511211266081650, 'n': 1, 'trace_an': 2}
-
id: 142658001
{'hecke_orbit_code': 13511211266081650, 'n': 2, 'trace_an': -2}
-
id: 142658002
{'hecke_orbit_code': 13511211266081650, 'n': 3, 'trace_an': 0}
-
id: 142658003
{'hecke_orbit_code': 13511211266081650, 'n': 4, 'trace_an': -4}
-
id: 142658004
{'hecke_orbit_code': 13511211266081650, 'n': 5, 'trace_an': -7}
-
id: 142658005
{'hecke_orbit_code': 13511211266081650, 'n': 6, 'trace_an': 0}
-
id: 142658006
{'hecke_orbit_code': 13511211266081650, 'n': 7, 'trace_an': 0}
-
id: 142658007
{'hecke_orbit_code': 13511211266081650, 'n': 8, 'trace_an': 16}
-
id: 142658008
{'hecke_orbit_code': 13511211266081650, 'n': 9, 'trace_an': 0}
-
id: 142658009
{'hecke_orbit_code': 13511211266081650, 'n': 10, 'trace_an': -14}
-
id: 142658010
{'hecke_orbit_code': 13511211266081650, 'n': 11, 'trace_an': 35}
-
id: 142658011
{'hecke_orbit_code': 13511211266081650, 'n': 12, 'trace_an': 0}
-
id: 142658012
{'hecke_orbit_code': 13511211266081650, 'n': 13, 'trace_an': -132}
-
id: 142658013
{'hecke_orbit_code': 13511211266081650, 'n': 14, 'trace_an': 0}
-
id: 142658014
{'hecke_orbit_code': 13511211266081650, 'n': 15, 'trace_an': 0}
-
id: 142658015
{'hecke_orbit_code': 13511211266081650, 'n': 16, 'trace_an': -16}
-
id: 142658016
{'hecke_orbit_code': 13511211266081650, 'n': 17, 'trace_an': -59}
-
id: 142658017
{'hecke_orbit_code': 13511211266081650, 'n': 18, 'trace_an': 0}
-
id: 142658018
{'hecke_orbit_code': 13511211266081650, 'n': 19, 'trace_an': 137}
-
id: 142658019
{'hecke_orbit_code': 13511211266081650, 'n': 20, 'trace_an': 56}
-
id: 142658020
{'hecke_orbit_code': 13511211266081650, 'n': 21, 'trace_an': 0}
-
id: 142658021
{'hecke_orbit_code': 13511211266081650, 'n': 22, 'trace_an': -140}
-
id: 142658022
{'hecke_orbit_code': 13511211266081650, 'n': 23, 'trace_an': -7}
-
id: 142658023
{'hecke_orbit_code': 13511211266081650, 'n': 24, 'trace_an': 0}
-
id: 142658024
{'hecke_orbit_code': 13511211266081650, 'n': 25, 'trace_an': 76}
-
id: 142658025
{'hecke_orbit_code': 13511211266081650, 'n': 26, 'trace_an': 132}
-
id: 142658026
{'hecke_orbit_code': 13511211266081650, 'n': 27, 'trace_an': 0}
-
id: 142658027
{'hecke_orbit_code': 13511211266081650, 'n': 28, 'trace_an': 0}
-
id: 142658028
{'hecke_orbit_code': 13511211266081650, 'n': 29, 'trace_an': -212}
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{'hecke_orbit_code': 13511211266081650, 'n': 1000, 'trace_an': -22512}