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mf_newforms • Show schema
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{'Nk2': 1152, 'analytic_conductor': 4.248137520413324, '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': [72, 2, [55, 37, 65], [2, 1, 2]], 'cm_discs': [], 'conrey_index': 37, 'conrey_indexes': [37], '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': [[5, [112, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503805852909640, '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': '72.4.d.b', 'level': 72, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '8.4.b.a', 'nf_label': '2.0.7.1', 'prim_orbit_index': 2, 'qexp_display': 'q+(1+\\beta )q^{2}+(-6+2\\beta )q^{4}+4\\beta q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '3.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '72.4.d', 'trace_display': [2, 0, 0, -16], 'trace_hash': 2214749650597218463, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.930', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '14.916', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '145.243', 'prec': 24}], 'trace_zratio': 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [1, 1], [0, 0], [-6, 2], [0, 4], [0, 0], [-8, 0], [-20, -4], [0, 0], [-28, 4], [0, 6], [0, 0], [0, 20], [-8, -8], [0, 0], [8, -24], [14, 0], [0, 0], [0, -14], [-56, -24], [0, 0], [-42, 6], [152, 0], [0, 0], [13, 0], [-140, 20], [0, 0], [48, -16], [0, 60], [0, 0], [224, 0], [176, -16], [0, 0], [14, 14], [0, -32], [0, 0], [0, 92], [98, -14], [0, 0], [112, -80], [70, 0], [0, 0], [0, -166], [-84, -36], [0, 0], [152, 152], [-336, 0], [0, 0], [-279, 0], [13, 13], [0, 0], [-280, -120], [0, -12], [0, 0], [-168, 0], [160, 32], [0, 0], [-420, 60], [0, -202], [0, 0], [0, 36], [224, 224], [0, 0], [288, 160], [-560, 0], [0, 0], [0, 66], [-84, 28], [0, 0], [224, -32], [72, 0], [0, 0], [-294, 0], [-644, 92], [0, 0], [196, 84], [0, -48], [0, 0], [-464, 0], [672, 32], [0, 0], [70, 70], [0, 206], [0, 0], [0, 56], [1162, -166], [0, 0], [168, -120], [-266, 0], [0, 0], [0, -160], [-912, 304], [0, 0], [-336, -336], [392, 0], [0, 0], [994, 0], [-279, -279], [0, 0], [-78, 26]], 'ap': [[1, 1], [0, 0], [0, 4], [-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': 4503805852909640, 'hecke_ring_character_values': [[55, [1, 0]], [37, [-1, 0]], [65, [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': '72.4.d.b', 'level': 72, 'maxp': 997, 'weight': 4}
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mf_newspaces • Show schema
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{'Nk2': 1152, 'analytic_conductor': 4.248137520413324, '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': [72, 2, [55, 37, 65], [2, 1, 2]], 'conrey_index': 37, 'cusp_dim': 32, 'dim': 14, 'eis_dim': 8, 'eis_new_dim': 2, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 206225539144, 'hecke_orbit_dims': [2, 2, 4, 6], 'label': '72.4.d', 'level': 72, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 40, 'mf_new_dim': 16, 'num_forms': 4, 'prim_orbit_index': 2, 'relative_dim': 14, 'sturm_bound': 48, 'trace_bound': 2, 'trace_display': [0, 0, 0, -16], 'traces': [14, 0, 0, 0, 0, 0, -16, 36, 0, 76, 0, 0, 0, 84, 0, 16, -24, 0, 0, -168, 0, -132, -24, 0, -274, -336, 0, 408, 0, 0, -80, 600, 0, 184, 0, 0, 0, 972, 0, -1000, -96, 0, 0, -1320, 0, -776, -264, 0, 750, -1944, 0, 832, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 61489
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '72.4.d.b', 'source_level': 72, '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': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 61490
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '72.4.d.b', 'source_level': 72, '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': '24.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 61491
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '72.4.d.b', 'source_level': 72, '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': '12.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 61492
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '72.4.d.b', 'source_level': 72, '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': '24.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 61493
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '72.4.d.b', 'source_level': 72, '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': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 61494
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '72.4.d.b', 'source_level': 72, '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': '8.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 61495
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '72.4.d.b', 'source_level': 72, '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': '15.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 61496
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '72.4.d.b', 'source_level': 72, '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': '120.i', 'twisting_char_orbit': 9, 'weight': 4}
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id: 61497
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '72.4.d.b', 'source_level': 72, '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': '15.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 61498
{'conductor': 120, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '72.4.d.b', 'source_level': 72, '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': '120.w', 'twisting_char_orbit': 23, 'weight': 4}
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id: 61499
{'conductor': 48, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '72.4.d.b', 'source_level': 72, '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': '48.k', 'twisting_char_orbit': 11, 'weight': 4}
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id: 61500
{'conductor': 48, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '72.4.d.b', 'source_level': 72, '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': '48.i', 'twisting_char_orbit': 9, 'weight': 4}
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id: 61501
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '72.4.d.b', 'source_level': 72, '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': '4.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 61502
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '72.4.d.b', 'source_level': 72, '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': '8.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 61503
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '72.4.d.b', 'source_level': 72, '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': '60.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 61504
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '72.4.d.b', 'source_level': 72, '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': '120.m', 'twisting_char_orbit': 13, 'weight': 4}
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id: 61505
{'conductor': 60, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '72.4.d.b', 'source_level': 72, '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': '60.l', 'twisting_char_orbit': 12, 'weight': 4}
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id: 61506
{'conductor': 120, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '72.4.d.b', 'source_level': 72, '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': '120.q', 'twisting_char_orbit': 17, 'weight': 4}
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id: 61507
{'conductor': 16, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '72.4.d.b', 'source_level': 72, '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': '16.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 61508
{'conductor': 16, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '72.4.d.b', 'source_level': 72, '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': '16.e', 'twisting_char_orbit': 5, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 225025
{'charpoly_factorization': [[[8, -2, 1], 1]], 'hecke_orbit_code': 4503805852909640, 'p': 2}
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id: 225026
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503805852909640, 'p': 3}
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id: 225027
{'charpoly_factorization': [[[112, 0, 1], 1]], 'hecke_orbit_code': 4503805852909640, 'p': 5}
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id: 225028
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 4503805852909640, 'p': 7}
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id: 225029
{'charpoly_factorization': [[[252, 0, 1], 1]], 'hecke_orbit_code': 4503805852909640, 'p': 11}
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id: 225030
{'charpoly_factorization': [[[2800, 0, 1], 1]], 'hecke_orbit_code': 4503805852909640, 'p': 13}
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id: 225031
{'charpoly_factorization': [[[-14, 1], 2]], 'hecke_orbit_code': 4503805852909640, 'p': 17}
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id: 225032
{'charpoly_factorization': [[[1372, 0, 1], 1]], 'hecke_orbit_code': 4503805852909640, 'p': 19}
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id: 225033
{'charpoly_factorization': [[[-152, 1], 2]], 'hecke_orbit_code': 4503805852909640, 'p': 23}
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id: 225034
{'charpoly_factorization': [[[25200, 0, 1], 1]], 'hecke_orbit_code': 4503805852909640, 'p': 29}
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id: 225035
{'charpoly_factorization': [[[-224, 1], 2]], 'hecke_orbit_code': 4503805852909640, 'p': 31}
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id: 225036
{'charpoly_factorization': [[[59248, 0, 1], 1]], 'hecke_orbit_code': 4503805852909640, 'p': 37}
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id: 225037
{'charpoly_factorization': [[[-70, 1], 2]], 'hecke_orbit_code': 4503805852909640, 'p': 41}
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id: 225038
{'charpoly_factorization': [[[192892, 0, 1], 1]], 'hecke_orbit_code': 4503805852909640, 'p': 43}
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id: 225039
{'charpoly_factorization': [[[336, 1], 2]], 'hecke_orbit_code': 4503805852909640, 'p': 47}
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id: 225040
{'charpoly_factorization': [[[1008, 0, 1], 1]], 'hecke_orbit_code': 4503805852909640, 'p': 53}
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id: 225041
{'charpoly_factorization': [[[285628, 0, 1], 1]], 'hecke_orbit_code': 4503805852909640, 'p': 59}
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id: 225042
{'charpoly_factorization': [[[9072, 0, 1], 1]], 'hecke_orbit_code': 4503805852909640, 'p': 61}
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id: 225043
{'charpoly_factorization': [[[30492, 0, 1], 1]], 'hecke_orbit_code': 4503805852909640, 'p': 67}
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id: 225044
{'charpoly_factorization': [[[-72, 1], 2]], 'hecke_orbit_code': 4503805852909640, 'p': 71}
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id: 225045
{'charpoly_factorization': [[[294, 1], 2]], 'hecke_orbit_code': 4503805852909640, 'p': 73}
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id: 225046
{'charpoly_factorization': [[[464, 1], 2]], 'hecke_orbit_code': 4503805852909640, 'p': 79}
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id: 225047
{'charpoly_factorization': [[[297052, 0, 1], 1]], 'hecke_orbit_code': 4503805852909640, 'p': 83}
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id: 225048
{'charpoly_factorization': [[[266, 1], 2]], 'hecke_orbit_code': 4503805852909640, 'p': 89}
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id: 225049
{'charpoly_factorization': [[[-994, 1], 2]], 'hecke_orbit_code': 4503805852909640, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 4, 'hecke_orbit': 2, 'label': '72.4.d.b', 'level': 72, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 84133000
{'hecke_orbit_code': 4503805852909640, 'n': 1, 'trace_an': 2}
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id: 84133001
{'hecke_orbit_code': 4503805852909640, 'n': 2, 'trace_an': 2}
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id: 84133002
{'hecke_orbit_code': 4503805852909640, 'n': 3, 'trace_an': 0}
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id: 84133003
{'hecke_orbit_code': 4503805852909640, 'n': 4, 'trace_an': -12}
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id: 84133004
{'hecke_orbit_code': 4503805852909640, 'n': 5, 'trace_an': 0}
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id: 84133005
{'hecke_orbit_code': 4503805852909640, 'n': 6, 'trace_an': 0}
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id: 84133006
{'hecke_orbit_code': 4503805852909640, 'n': 7, 'trace_an': -16}
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id: 84133007
{'hecke_orbit_code': 4503805852909640, 'n': 8, 'trace_an': -40}
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id: 84133008
{'hecke_orbit_code': 4503805852909640, 'n': 9, 'trace_an': 0}
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id: 84133009
{'hecke_orbit_code': 4503805852909640, 'n': 10, 'trace_an': -56}
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id: 84133010
{'hecke_orbit_code': 4503805852909640, 'n': 11, 'trace_an': 0}
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id: 84133011
{'hecke_orbit_code': 4503805852909640, 'n': 12, 'trace_an': 0}
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id: 84133012
{'hecke_orbit_code': 4503805852909640, 'n': 13, 'trace_an': 0}
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id: 84133013
{'hecke_orbit_code': 4503805852909640, 'n': 14, 'trace_an': -16}
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id: 84133014
{'hecke_orbit_code': 4503805852909640, 'n': 15, 'trace_an': 0}
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id: 84133015
{'hecke_orbit_code': 4503805852909640, 'n': 16, 'trace_an': 16}
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id: 84133016
{'hecke_orbit_code': 4503805852909640, 'n': 17, 'trace_an': 28}
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id: 84133017
{'hecke_orbit_code': 4503805852909640, 'n': 18, 'trace_an': 0}
-
id: 84133018
{'hecke_orbit_code': 4503805852909640, 'n': 19, 'trace_an': 0}
-
id: 84133019
{'hecke_orbit_code': 4503805852909640, 'n': 20, 'trace_an': -112}
-
id: 84133020
{'hecke_orbit_code': 4503805852909640, 'n': 21, 'trace_an': 0}
-
id: 84133021
{'hecke_orbit_code': 4503805852909640, 'n': 22, 'trace_an': -84}
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id: 84133022
{'hecke_orbit_code': 4503805852909640, 'n': 23, 'trace_an': 304}
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id: 84133023
{'hecke_orbit_code': 4503805852909640, 'n': 24, 'trace_an': 0}
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