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mf_newforms • Show schema
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{'Nk2': 5184, 'analytic_conductor': 23.09527005306921, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 12, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [144, 2, [127, 37, 65], [1, 2, 1]], 'cm_discs': [-4], 'conrey_index': 143, 'conrey_indexes': [143], 'dim': 2, 'field_disc': -8, 'field_disc_factorization': [[-1, 1], [2, 3]], 'field_poly': [2, 0, 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, [18, 0, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 137539616912, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 4, 2, -1, 2, -4], [1, 1, 3, 2, -1, 2, 0], [1, 1, 12, 2, 1, 2, 0]], 'is_cm': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': True, 'is_twist_minimal': True, 'label': '144.6.c.a', 'level': 144, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '144.6.c.a', 'nf_label': '2.0.8.1', 'prim_orbit_index': 2, 'qexp_display': 'q+\\beta q^{5}+244q^{13}+239\\beta q^{17}+3107q^{25}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '5.2.1.d2', 'self_twist_discs': [-4], 'self_twist_type': 1, 'space_label': '144.6.c', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1239142894583763482, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.006', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.924', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '22.678', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '297.448', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.759', 'prec': 17}, 'traces': [2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 488, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6214, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24484, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 33614, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 37900, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8604, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -321616, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -56200, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -322102, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -69084, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 987316, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -623514, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1527800, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 994588, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -155412, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1953128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3478096, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -285228, 0, 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [0, 0], [0, 0], [0, 1], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [244, 0], [0, 0], [0, 0], [0, 0], [0, 239], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [3107, 0], [0, 0], [0, 0], [0, 0], [0, 1919], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [12242, 0], [0, 0], [0, 0], [0, 0], [0, 4317], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [16807, 0], [0, 0], [0, 0], [0, 0], [0, 7923], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [18950, 0], [0, 0], [0, 0], [0, 0], [0, 244], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-20144, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-4302, 0], [0, 0], [0, 0], [0, 0], [0, -31919], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-160808, 0], [0, 0], [0, 0], [0, 0]], 'ap': [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0], [244, 0], [0, 239], [0, 0], [0, 0], [0, 1919], [0, 0], [12242, 0], [0, 4317], [0, 0], [0, 0], [0, 7923], [0, 0], [18950, 0], [0, 0], [0, 0], [-20144, 0], [0, 0], [0, 0], [0, -31919], [-160808, 0], [0, -13683], [0, 0], [0, 0], [-28100, 0], [0, -60475], [0, 0], [0, 0], [0, -59525], [0, 0], [0, 97919], [0, 0], [493658, 0], [0, 0], [0, 0], [0, 185525], [0, 0], [763900, 0], [0, 0], [497294, 0], [0, 233525], [0, 0], [0, 0], [0, 0], [0, 0], [976564, 0], [0, -152873], [0, 0], [-1739048, 0], [0, 0], [0, -227525], [0, 0], [0, -337919], [0, 0], [-2451092, 0], [0, -465367], [0, 0], [0, -137525], [0, 0], [0, 0], [-2889094, 0], [0, -474239], [0, 0], [3488608, 0], [0, 0], [-4445050, 0], [0, 1090077], [0, 0], [0, 0], [5159294, 0], [0, 0], [0, 0], [0, 419031], [259958, 0], [0, 1305367], [4976200, 0], [0, 0], [-4184852, 0], [0, 0], [7784606, 0], [0, 0], [0, 0], [0, 1254969], [-7216808, 0], [0, -2146317], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, -2604969], [0, -2884317], [0, 0], [-10828100, 0], [0, 0], [0, -2521189], [0, 0], [0, -1826869], [0, 0], [3306242, 0], [0, 0], [0, 3132475], [0, 0], [-15155050, 0], [0, 0], [11150606, 0], [0, -1848239], [0, 0], [0, 0], [0, -38633], [0, 0], [0, 0], [0, 4888077], [0, 0], [8605250, 0], [17398994, 0], [0, 4661289], [0, 0], [0, 0], [0, -1004633], [26471236, 0], [0, 0], [0, 0], [10512244, 0], [0, 0], [0, 0], [0, 0], [-3004508, 0], [0, -7469267], [-20284750, 0], [0, 6293027], [0, 0], [0, -7926475], [0, -8733131], [0, 0], [0, -1775267], [0, 0], [0, 0], [-38764100, 0], [0, 0], [41824994, 0], [0, -10084811], [0, 0], [0, 0], [-23838058, 0], [0, -9580317], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 4231919], [-11026042, 0], [0, -8208733], [0, 0], [0, 12996475], [0, 0], [0, 0], [0, 2015289], [0, 0], [0, 0], [36210542, 0]], 'char_orbit_index': 3, 'field_poly': [2, 0, 1], 'hecke_orbit_code': 137539616912, 'hecke_ring_character_values': [[127, [-1, 0]], [37, [1, 0]], [65, [-1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1], 'hecke_ring_inverse_denominators': [1, 3], 'hecke_ring_inverse_numerators': [[1, 0], [0, 1]], 'hecke_ring_numerators': [[1, 0], [0, 3]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 2, 'label': '144.6.c.a', 'level': 144, 'maxp': 997, 'weight': 6}
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mf_newspaces • Show schema
Hide schema
{'Nk2': 5184, 'analytic_conductor': 23.09527005306921, 'char_conductor': 12, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [144, 2, [127, 37, 65], [1, 2, 1]], 'conrey_index': 143, 'cusp_dim': 108, 'dim': 10, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 137539616912, 'hecke_orbit_dims': [2, 8], 'label': '144.6.c', 'level': 144, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 132, 'mf_new_dim': 10, 'num_forms': 2, 'prim_orbit_index': 2, 'relative_dim': 10, 'sturm_bound': 144, 'trace_bound': 1, 'trace_display': [0, 0, 0, 0], 'traces': [10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 232, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -14434, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9140, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -93818, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4796, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32864, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 350676, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -271952, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 604024, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -767246, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2402304, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2523852, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1202948, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2828802, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2673400, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3712372, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1872828, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2854656, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2319976, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2301616, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -622080, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6361308, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9115096, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6897014, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2198016, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1209284, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5391688, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6884800, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5038660, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6745442, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -14329492, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 35016192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36405988, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -220016, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4303576, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 33729068, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -50536980, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3681104, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5583360, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 33712208, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -11694996, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 23941980, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40739328, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 21856858, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -51656072, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -67862784, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72101340, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 47025428, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -23058432, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -37804324, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 21230348, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5523286, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -17994920, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -60189696, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 119015444, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -45840844, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -93810204, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -104840028, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 109405576, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 67231488, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -15698456, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -196548876, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 91909192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30262772, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 113978880, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -41159824, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 145691136, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -89690112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -84179336, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -146495794, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 130661972, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 243753084, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 133470812, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -222241536, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -52256772, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 55890432, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -156796388, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 174383420, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 132222592, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -895178, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -293457408, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -46200132, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 931532, 0, 0, 0], 'weight': 6, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 121500
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '144.6.c.a', 'source_level': 144, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '144.6.c.a', 'target_level': 144, 'twist_class_label': '144.6.c.a', 'twist_class_level': 144, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 6}
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id: 121501
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '144.6.c.a', 'source_level': 144, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '144.6.c.a', 'target_level': 144, 'twist_class_label': '144.6.c.a', 'twist_class_level': 144, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 6}
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id: 121502
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': -4, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '144.6.c.a', 'source_level': 144, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '144.6.c.a', 'target_level': 144, 'twist_class_label': '144.6.c.a', 'twist_class_level': 144, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 6}
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id: 121503
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '144.6.c.a', 'source_level': 144, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '144.6.c.a', 'target_level': 144, 'twist_class_label': '144.6.c.a', 'twist_class_level': 144, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 6}
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id: 121504
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '144.6.c.a', 'source_level': 144, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '576.6.c.a', 'target_level': 576, 'twist_class_label': '144.6.c.a', 'twist_class_level': 144, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 6}
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id: 121505
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '144.6.c.a', 'source_level': 144, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '576.6.c.a', 'target_level': 576, 'twist_class_label': '144.6.c.a', 'twist_class_level': 144, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 6}
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id: 121506
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '144.6.c.a', 'source_level': 144, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '576.6.c.a', 'target_level': 576, 'twist_class_label': '144.6.c.a', 'twist_class_level': 144, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 6}
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id: 121507
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '144.6.c.a', 'source_level': 144, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '576.6.c.a', 'target_level': 576, 'twist_class_label': '144.6.c.a', 'twist_class_level': 144, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 6}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 383975
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 137539616912, 'p': 2}
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id: 383976
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 137539616912, 'p': 3}
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id: 383977
{'charpoly_factorization': [[[18, 0, 1], 1]], 'hecke_orbit_code': 137539616912, 'p': 5}
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id: 383978
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 137539616912, 'p': 7}
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id: 383979
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 137539616912, 'p': 11}
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id: 383980
{'charpoly_factorization': [[[-244, 1], 2]], 'hecke_orbit_code': 137539616912, 'p': 13}
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id: 383981
{'charpoly_factorization': [[[1028178, 0, 1], 1]], 'hecke_orbit_code': 137539616912, 'p': 17}
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id: 383982
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 137539616912, 'p': 19}
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id: 383983
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 137539616912, 'p': 23}
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id: 383984
{'charpoly_factorization': [[[66286098, 0, 1], 1]], 'hecke_orbit_code': 137539616912, 'p': 29}
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id: 383985
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 137539616912, 'p': 31}
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id: 383986
{'charpoly_factorization': [[[-12242, 1], 2]], 'hecke_orbit_code': 137539616912, 'p': 37}
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id: 383987
{'charpoly_factorization': [[[335456802, 0, 1], 1]], 'hecke_orbit_code': 137539616912, 'p': 41}
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id: 383988
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 137539616912, 'p': 43}
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id: 383989
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 137539616912, 'p': 47}
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id: 383990
{'charpoly_factorization': [[[1129930722, 0, 1], 1]], 'hecke_orbit_code': 137539616912, 'p': 53}
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id: 383991
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 137539616912, 'p': 59}
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id: 383992
{'charpoly_factorization': [[[-18950, 1], 2]], 'hecke_orbit_code': 137539616912, 'p': 61}
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id: 383993
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 137539616912, 'p': 67}
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id: 383994
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 137539616912, 'p': 71}
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id: 383995
{'charpoly_factorization': [[[20144, 1], 2]], 'hecke_orbit_code': 137539616912, 'p': 73}
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id: 383996
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 137539616912, 'p': 79}
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id: 383997
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 137539616912, 'p': 83}
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id: 383998
{'charpoly_factorization': [[[18338806098, 0, 1], 1]], 'hecke_orbit_code': 137539616912, 'p': 89}
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id: 383999
{'charpoly_factorization': [[[160808, 1], 2]], 'hecke_orbit_code': 137539616912, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 1, 'label': '144.6.c.a', 'level': 144, 'portrait': 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', 'weight': 6}
-
mf_hecke_traces • Show schema
Hide schema
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id: 23412000
{'hecke_orbit_code': 137539616912, 'n': 1, 'trace_an': 2}
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id: 23412001
{'hecke_orbit_code': 137539616912, 'n': 2, 'trace_an': 0}
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id: 23412002
{'hecke_orbit_code': 137539616912, 'n': 3, 'trace_an': 0}
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id: 23412003
{'hecke_orbit_code': 137539616912, 'n': 4, 'trace_an': 0}
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id: 23412004
{'hecke_orbit_code': 137539616912, 'n': 5, 'trace_an': 0}
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id: 23412005
{'hecke_orbit_code': 137539616912, 'n': 6, 'trace_an': 0}
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