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mf_newforms • Show schema
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{'Nk2': 3200, 'analytic_conductor': 11.800382001148122, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 8, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [200, 2, [151, 101, 177], [2, 1, 2]], 'cm_discs': [], 'conrey_index': 101, 'conrey_indexes': [101], 'dim': 2, 'field_disc': -7, 'field_disc_factorization': [[-1, 1], [7, 1]], 'field_poly': [2, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [28, 0, 1]], [7, [-8, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 206225539272, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 8, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '200.4.d.a', 'level': 200, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5], 'level_radical': 10, 'minimal_twist': '8.4.b.a', 'nf_label': '2.0.7.1', 'prim_orbit_index': 2, 'qexp_display': 'q+(1+\\beta )q^{2}-2\\beta q^{3}+(-6+2\\beta )q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '3.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '200.4.d', 'trace_display': [2, 0, 0, 16], 'trace_hash': 724738366384683975, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.930', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.079', 'prec': 17}, {'__RealLiteral__': 0, 'data': '14.916', 'prec': 20}, {'__RealLiteral__': 0, 'data': '2.038', 'prec': 17}, {'__RealLiteral__': 0, 'data': '145.243', 'prec': 24}], 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [1, 1], [0, -2], [-6, 2], [0, 0], [14, -2], [8, 0], [-20, -4], [-1, 0], [0, 0], [0, -6], [28, 12], [0, -20], [8, 8], [0, 0], [8, -24], [14, 0], [-1, -1], [0, -14], [0, 0], [0, -16], [42, -6], [152, 0], [-56, 40], [0, 0], [140, -20], [0, -52], [-48, 16], [0, -60], [0, 0], [224, 0], [176, -16], [-84, 0], [14, 14], [0, 0], [6, -2], [0, -92], [98, -14], [-280, 0], [0, 0], [-70, 0], [112, -16], [0, 166], [84, 36], [0, 0], [152, 152], [-336, 0], [-336, -16], [-279, 0], [0, 0], [0, -28], [280, 120], [0, -12], [364, -52], [0, 0], [-160, -32], [-196, 0], [420, -60], [0, 202], [0, 0], [0, 36], [224, 224], [-8, 0], [288, 160], [0, 0], [-84, -84], [0, -66], [-84, 28], [0, -304], [0, 0], [-72, 0], [20, 4], [294, 0], [644, -92], [0, 0], [196, 84], [0, -48], [-280, -280], [-464, 0], [0, 0], [-755, 0], [-70, -70], [0, 206], [224, 96], [0, 0], [-1162, 166], [-840, 0], [-168, 120], [266, 0], [0, 0], [0, -160], [-912, 304], [0, -448], [-336, -336], [0, 0], [-224, -352], [-994, 0], [-279, -279], [0, 6], [0, 0]], 'ap': [[1, 1], [0, -2], [0, 0], [8, 0], [0, -6], [0, -20], [14, 0], [0, -14], [152, 0], [0, -60], [224, 0], [0, -92], [-70, 0], [0, 166], [-336, 0], [0, -12], [0, 202], [0, 36], [0, -66], [-72, 0], [294, 0], [-464, 0], [0, 206], [266, 0], [-994, 0], [0, 284], [-1176, 0], [0, 102], [0, -716], [1710, 0], [1664, 0], [0, -254], [1062, 0], [0, 1018], [0, 300], [744, 0], [0, -68], [0, 670], [1960, 0], [0, -756], [0, 1234], [0, -884], [3904, 0], [-3330, 0], [0, 452], [-1736, 0], [0, -1102], [-1568, 0], [0, 478], [0, 1948], [838, 0], [6288, 0], [-2926, 0], [0, 2058], [-2562, 0], [5896, 0], [0, -2028], [-1680, 0], [0, 596], [-2742, 0], [0, -1130], [0, 3492], [0, -978], [-2744, 0], [-2282, 0], [0, -3620], [0, -1606], [-6130, 0], [0, -938], [0, -124], [10206, 0], [-3176, 0], [11760, 0], [0, 4148], [0, 1162], [-2688, 0], [0, 3964], [0, 2156], [12402, 0], [-12278, 0], [0, -3102], [0, -548], [7632, 0], [-3794, 0], [-1848, 0], [0, 4662], [-3582, 0], [-2714, 0], [0, 3156], [-2224, 0], [0, -3890], [17696, 0], [-1304, 0], [0, 6298], [0, 1170], [19320, 0], [0, -1692], [-2982, 0], [0, -762], [0, 5828], [0, 4766], [0, 2700], [0, 2862], [15594, 0], [0, -6326], [-6594, 0], [0, 8774], [-14322, 0], [-16088, 0], [-21238, 0], [13664, 0], [0, -7708], [3782, 0], [0, 2202], [2056, 0], [11842, 0], [0, 6142], [-19320, 0], [0, 876], [0, 10482], [0, 8492], [10078, 0], [0, -6108], [0, 6182], [0, -11054], [0, 932], [0, -11972], [-9296, 0], [-21672, 0], [0, 3580], [0, 2594], [-17432, 0], [-11632, 0], [0, 6324], [39466, 0], [35266, 0], [0, -6140], [0, -13170], [0, -964], [-24390, 0], [0, -3622], [0, -3316], [21688, 0], [0, 7350], [0, -7388], [-18760, 0], [0, -10860], [-8778, 0], [0, -2134], [9312, 0], [0, -52], [-31150, 0], [0, -4754], [-37128, 0], [0, -13306], [-10512, 0], [-46104, 0], [-5726, 0], [-1274, 0], [0, -9996], [0, -9042], [-38250, 0], [-4664, 0], [0, 11706], [4814, 0], [12376, 0], [45344, 0], [0, 9828]], 'char_orbit_index': 4, 'field_poly': [2, -1, 1], 'hecke_orbit_code': 206225539272, 'hecke_ring_character_values': [[151, [1, 0]], [101, [-1, 0]], [177, [1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1], 'hecke_ring_inverse_denominators': [1, 2], 'hecke_ring_inverse_numerators': [[1, 0], [1, 1]], 'hecke_ring_numerators': [[1, 0], [-1, 2]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 2, 'label': '200.4.d.a', 'level': 200, 'maxp': 997, 'weight': 4}
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mf_newspaces • Show schema
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{'Nk2': 3200, 'analytic_conductor': 11.800382001148122, 'char_conductor': 8, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [200, 2, [151, 101, 177], [2, 1, 2]], 'conrey_index': 101, 'cusp_dim': 84, 'dim': 54, 'eis_dim': 12, 'eis_new_dim': 6, 'hecke_cutter_primes': [3, 7], 'hecke_orbit_code': 206225539272, 'hecke_orbit_dims': [2, 12, 12, 12, 16], 'label': '200.4.d', 'level': 200, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5], 'level_radical': 10, 'mf_dim': 96, 'mf_new_dim': 60, 'num_forms': 5, 'prim_orbit_index': 2, 'relative_dim': 54, 'sturm_bound': 120, 'trace_bound': 2, 'trace_display': [0, 0, 0, -12], 'traces': [54, 0, 0, 2, 0, -2, -12, 0, -430, 0, 0, -132, 0, -168, 0, 130, 28, 204, 0, 0, 0, 248, -300, -210, 0, -204, 0, 340, 0, 0, -456, 280, 64, 370, 0, -1032, 0, -624, 176, 0, 92, -660, 0, -458, 0, 72, 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-51076, 31820, 0, 0, 0, -78416, -179424, 68188, 0, 124916, 0, -100848, 0, 0, 6312, -80528, -128332, 80356, 0, -142464, 0, -2976, -150336, 0, -59082, -103432, 0, -176202, 0, 139384, -339636, -33856, 59400, 0, 0, 33828, 0, -294144, 0, 13144, -78868, -43844, 0, 0, 0, -20400, 133324, -40014, 0, 82792, 0, 19072, 0, 0, -122416, 158304, 129200, -214392, 0, 226458, 0, -97256, 587416, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 166843
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '200.4.d.a', 'source_level': 200, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '8.4.b.a', 'target_level': 8, 'twist_class_label': '8.4.b.a', 'twist_class_level': 8, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 166844
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '200.4.d.a', 'source_level': 200, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '8.4.b.a', 'target_level': 8, 'twist_class_label': '8.4.b.a', 'twist_class_level': 8, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 166845
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '200.4.d.a', 'source_level': 200, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '32.4.b.a', 'target_level': 32, 'twist_class_label': '8.4.b.a', 'twist_class_level': 8, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 166846
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '200.4.d.a', 'source_level': 200, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '32.4.b.a', 'target_level': 32, 'twist_class_label': '8.4.b.a', 'twist_class_level': 8, 'twisting_char_label': '40.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 166847
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '200.4.d.a', 'source_level': 200, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '72.4.d.b', 'target_level': 72, 'twist_class_label': '8.4.b.a', 'twist_class_level': 8, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 166848
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '200.4.d.a', 'source_level': 200, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '72.4.d.b', 'target_level': 72, 'twist_class_label': '8.4.b.a', 'twist_class_level': 8, 'twisting_char_label': '120.i', 'twisting_char_orbit': 9, 'weight': 4}
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id: 166849
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '200.4.d.a', 'source_level': 200, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '200.4.d.a', 'target_level': 200, 'twist_class_label': '8.4.b.a', 'twist_class_level': 8, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 166850
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '200.4.d.a', 'source_level': 200, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '200.4.d.a', 'target_level': 200, 'twist_class_label': '8.4.b.a', 'twist_class_level': 8, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 166851
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '200.4.d.a', 'source_level': 200, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '200.4.f.a', 'target_level': 200, 'twist_class_label': '8.4.b.a', 'twist_class_level': 8, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 166852
{'conductor': 40, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '200.4.d.a', 'source_level': 200, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '200.4.f.a', 'target_level': 200, 'twist_class_label': '8.4.b.a', 'twist_class_level': 8, 'twisting_char_label': '40.i', 'twisting_char_orbit': 9, 'weight': 4}
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id: 166853
{'conductor': 80, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '200.4.d.a', 'source_level': 200, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '256.4.a.j', 'target_level': 256, 'twist_class_label': '8.4.b.a', 'twist_class_level': 8, 'twisting_char_label': '80.k', 'twisting_char_orbit': 11, 'weight': 4}
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id: 166854
{'conductor': 80, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '200.4.d.a', 'source_level': 200, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '256.4.a.l', 'target_level': 256, 'twist_class_label': '8.4.b.a', 'twist_class_level': 8, 'twisting_char_label': '80.q', 'twisting_char_orbit': 17, 'weight': 4}
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id: 166855
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '200.4.d.a', 'source_level': 200, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '288.4.d.a', 'target_level': 288, 'twist_class_label': '8.4.b.a', 'twist_class_level': 8, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 166856
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '200.4.d.a', 'source_level': 200, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '288.4.d.a', 'target_level': 288, 'twist_class_label': '8.4.b.a', 'twist_class_level': 8, 'twisting_char_label': '120.m', 'twisting_char_orbit': 13, 'weight': 4}
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id: 166857
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '200.4.d.a', 'source_level': 200, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '800.4.d.a', 'target_level': 800, 'twist_class_label': '8.4.b.a', 'twist_class_level': 8, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 166858
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '200.4.d.a', 'source_level': 200, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '800.4.d.a', 'target_level': 800, 'twist_class_label': '8.4.b.a', 'twist_class_level': 8, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 166859
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '200.4.d.a', 'source_level': 200, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '800.4.f.a', 'target_level': 800, 'twist_class_label': '8.4.b.a', 'twist_class_level': 8, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 166860
{'conductor': 40, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '200.4.d.a', 'source_level': 200, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '800.4.f.a', 'target_level': 800, 'twist_class_label': '8.4.b.a', 'twist_class_level': 8, 'twisting_char_label': '40.k', 'twisting_char_orbit': 11, 'weight': 4}
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id: 166861
{'conductor': 240, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '200.4.d.a', 'source_level': 200, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '2304.4.a.v', 'target_level': 2304, 'twist_class_label': '8.4.b.a', 'twist_class_level': 8, 'twisting_char_label': '240.t', 'twisting_char_orbit': 20, 'weight': 4}
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id: 166862
{'conductor': 240, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '200.4.d.a', 'source_level': 200, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 40, 'target_is_minimal': False, 'target_label': '2304.4.a.bn', 'target_level': 2304, 'twist_class_label': '8.4.b.a', 'twist_class_level': 8, 'twisting_char_label': '240.bm', 'twisting_char_orbit': 39, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 500500
{'charpoly_factorization': [[[8, -2, 1], 1]], 'hecke_orbit_code': 206225539272, 'p': 2}
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id: 500501
{'charpoly_factorization': [[[28, 0, 1], 1]], 'hecke_orbit_code': 206225539272, 'p': 3}
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id: 500502
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 206225539272, 'p': 5}
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id: 500503
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 206225539272, 'p': 7}
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id: 500504
{'charpoly_factorization': [[[252, 0, 1], 1]], 'hecke_orbit_code': 206225539272, 'p': 11}
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id: 500505
{'charpoly_factorization': [[[2800, 0, 1], 1]], 'hecke_orbit_code': 206225539272, 'p': 13}
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id: 500506
{'charpoly_factorization': [[[-14, 1], 2]], 'hecke_orbit_code': 206225539272, 'p': 17}
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id: 500507
{'charpoly_factorization': [[[1372, 0, 1], 1]], 'hecke_orbit_code': 206225539272, 'p': 19}
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id: 500508
{'charpoly_factorization': [[[-152, 1], 2]], 'hecke_orbit_code': 206225539272, 'p': 23}
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id: 500509
{'charpoly_factorization': [[[25200, 0, 1], 1]], 'hecke_orbit_code': 206225539272, 'p': 29}
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id: 500510
{'charpoly_factorization': [[[-224, 1], 2]], 'hecke_orbit_code': 206225539272, 'p': 31}
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id: 500511
{'charpoly_factorization': [[[59248, 0, 1], 1]], 'hecke_orbit_code': 206225539272, 'p': 37}
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id: 500512
{'charpoly_factorization': [[[70, 1], 2]], 'hecke_orbit_code': 206225539272, 'p': 41}
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id: 500513
{'charpoly_factorization': [[[192892, 0, 1], 1]], 'hecke_orbit_code': 206225539272, 'p': 43}
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id: 500514
{'charpoly_factorization': [[[336, 1], 2]], 'hecke_orbit_code': 206225539272, 'p': 47}
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id: 500515
{'charpoly_factorization': [[[1008, 0, 1], 1]], 'hecke_orbit_code': 206225539272, 'p': 53}
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id: 500516
{'charpoly_factorization': [[[285628, 0, 1], 1]], 'hecke_orbit_code': 206225539272, 'p': 59}
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id: 500517
{'charpoly_factorization': [[[9072, 0, 1], 1]], 'hecke_orbit_code': 206225539272, 'p': 61}
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id: 500518
{'charpoly_factorization': [[[30492, 0, 1], 1]], 'hecke_orbit_code': 206225539272, 'p': 67}
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id: 500519
{'charpoly_factorization': [[[72, 1], 2]], 'hecke_orbit_code': 206225539272, 'p': 71}
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id: 500520
{'charpoly_factorization': [[[-294, 1], 2]], 'hecke_orbit_code': 206225539272, 'p': 73}
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id: 500521
{'charpoly_factorization': [[[464, 1], 2]], 'hecke_orbit_code': 206225539272, 'p': 79}
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id: 500522
{'charpoly_factorization': [[[297052, 0, 1], 1]], 'hecke_orbit_code': 206225539272, 'p': 83}
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id: 500523
{'charpoly_factorization': [[[-266, 1], 2]], 'hecke_orbit_code': 206225539272, 'p': 89}
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id: 500524
{'charpoly_factorization': [[[994, 1], 2]], 'hecke_orbit_code': 206225539272, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 4, 'hecke_orbit': 1, 'label': '200.4.d.a', 'level': 200, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 26741000
{'hecke_orbit_code': 206225539272, 'n': 1, 'trace_an': 2}
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id: 26741001
{'hecke_orbit_code': 206225539272, 'n': 2, 'trace_an': 2}
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id: 26741002
{'hecke_orbit_code': 206225539272, 'n': 3, 'trace_an': 0}
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id: 26741003
{'hecke_orbit_code': 206225539272, 'n': 4, 'trace_an': -12}
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id: 26741004
{'hecke_orbit_code': 206225539272, 'n': 5, 'trace_an': 0}
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id: 26741005
{'hecke_orbit_code': 206225539272, 'n': 6, 'trace_an': 28}
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id: 26741006
{'hecke_orbit_code': 206225539272, 'n': 7, 'trace_an': 16}
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id: 26741007
{'hecke_orbit_code': 206225539272, 'n': 8, 'trace_an': -40}
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id: 26741008
{'hecke_orbit_code': 206225539272, 'n': 9, 'trace_an': -2}
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id: 26741009
{'hecke_orbit_code': 206225539272, 'n': 10, 'trace_an': 0}
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id: 26741010
{'hecke_orbit_code': 206225539272, 'n': 11, 'trace_an': 0}
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id: 26741011
{'hecke_orbit_code': 206225539272, 'n': 12, 'trace_an': 56}
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id: 26741012
{'hecke_orbit_code': 206225539272, 'n': 13, 'trace_an': 0}
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id: 26741013
{'hecke_orbit_code': 206225539272, 'n': 14, 'trace_an': 16}
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id: 26741014
{'hecke_orbit_code': 206225539272, 'n': 15, 'trace_an': 0}
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id: 26741015
{'hecke_orbit_code': 206225539272, 'n': 16, 'trace_an': 16}
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id: 26741016
{'hecke_orbit_code': 206225539272, 'n': 17, 'trace_an': 28}
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id: 26741017
{'hecke_orbit_code': 206225539272, 'n': 18, 'trace_an': -2}
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id: 26741018
{'hecke_orbit_code': 206225539272, 'n': 19, 'trace_an': 0}
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id: 26741019
{'hecke_orbit_code': 206225539272, 'n': 20, 'trace_an': 0}
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id: 26741020
{'hecke_orbit_code': 206225539272, 'n': 21, 'trace_an': 0}
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id: 26741021
{'hecke_orbit_code': 206225539272, 'n': 22, 'trace_an': 84}
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id: 26741022
{'hecke_orbit_code': 206225539272, 'n': 23, 'trace_an': 304}
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id: 26741023
{'hecke_orbit_code': 206225539272, 'n': 24, 'trace_an': -112}
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id: 26741024
{'hecke_orbit_code': 206225539272, 'n': 25, 'trace_an': 0}
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id: 26741025
{'hecke_orbit_code': 206225539272, 'n': 26, 'trace_an': 280}
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id: 26741026
{'hecke_orbit_code': 206225539272, 'n': 27, 'trace_an': 0}
-
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