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mf_newforms • Show schema
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{'Nk2': 11520, 'analytic_conductor': 42.48137520413324, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 2, 'char_parity': 1, 'char_values': [720, 2, [271, 181, 641, 577], [2, 2, 2, 1]], 'cm_discs': [], 'conrey_index': 289, 'conrey_indexes': [289], 'dim': 4, 'field_disc': 266256, 'field_disc_factorization': [[2, 4], [3, 2], [43, 2]], 'field_poly': [1024, 0, 65, 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': [[7, [1345600, 0, 2324, 0, 1]], [11, [1240, -74, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36029140683457232, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 8, 'hecke_ring_index_factorization': [[2, 3]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 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': '720.4.f.i', 'level': 720, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'minimal_twist': '120.4.f.d', 'nf_label': '4.0.266256.1', 'prim_orbit_index': 2, 'qexp_display': 'q+(-5-\\beta _{1}-\\beta _{2})q^{5}+(-2\\beta _{1}+3\\beta _{2}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '3.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '720.4.f', 'trace_display': [0, 0, -22, 0], 'trace_hash': 81591190834022505, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.060', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.894', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.727', 'prec': 17}, {'__RealLiteral__': 0, 'data': '77.780', 'prec': 20}, {'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-5, -1, -1, 0], [0, 0, 0, 0], [0, -2, 3, -3], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [36, 0, 1, 1], [0, 0, 0, 0], [0, -13, 1, -1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 6, 5, -5], [0, 0, 0, 0], [-32, 0, -8, -8], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 1, -8, 8], [0, 0, 0, 0], [-11, -1, 11, 11], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [18, 0, 7, 7], [0, 0, 0, 0], [-12, 0, 18, 18], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [216, 59, -33, -1], [0, 0, 0, 0], [0, -23, 25, -25], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-166, 0, -6, -6], [0, 0, 0, 0], [0, 27, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 99, 14, -14], [0, 0, 0, 0], [-825, 0, 6, 6], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -80, 1, -1], [0, 0, 0, 0], [-244, -25, -37, -11], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-284, 0, -49, -49], [0, 0, 0, 0], [154, 0, -32, -32], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-224, 106, -11, 49], 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mf_newspaces • Show schema
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{'Nk2': 11520, 'analytic_conductor': 42.48137520413324, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 2, 'char_parity': 1, 'char_values': [720, 2, [271, 181, 641, 577], [2, 2, 2, 1]], 'conrey_index': 289, 'cusp_dim': 408, 'dim': 44, 'eis_dim': 48, 'eis_new_dim': 2, 'hecke_cutter_primes': [7, 11], 'hecke_orbit_code': 343664493264, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 8], 'label': '720.4.f', 'level': 720, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'mf_dim': 456, 'mf_new_dim': 46, 'num_forms': 14, 'prim_orbit_index': 2, 'relative_dim': 44, 'sturm_bound': 576, 'trace_bound': 19, 'trace_display': [0, 0, 2, 0], 'traces': [44, 0, 0, 0, 2, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 104, 0, 0, 0, 0, 0, -96, 0, 0, 0, 172, 0, 56, 0, 0, 0, 184, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, -2220, 0, 0, 0, 0, 0, 264, 0, 0, 0, -720, 0, -536, 0, 0, 0, -328, 0, 0, 0, 0, 0, -176, 0, 0, 0, 0, 0, 0, 0, 1432, 0, 0, 0, 0, 0, -652, 0, 0, 0, -324, 0, -2000, 0, 0, 0, 1216, 0, 0, 0, 0, 0, -1860, 0, 0, 0, 0, 0, 0, 0, 176, 0, 0, 0, 0, 0, 1944, 0, 0, 0, -2640, 0, 6028, 0, 0, 0, -742, 0, 0, 0, 0, 0, 1296, 0, 0, 0, 0, 0, 0, 0, -3496, 0, 0, 0, 0, 0, 1316, 0, 0, 0, 708, 0, -4472, 0, 0, 0, -2616, 0, 0, 0, 0, 0, 2864, 0, 0, 0, 0, 0, 0, 0, -5588, 0, 0, 0, 0, 0, -1056, 0, 0, 0, -880, 0, 4320, 0, 0, 0, 2296, 0, 0, 0, 0, 0, -4128, 0, 0, 0, 0, 0, 0, 0, -9896, 0, 0, 0, 0, 0, 2340, 0, 0, 0, -5152, 0, -5176, 0, 0, 0, 7488, 0, 0, 0, 0, 0, 3888, 0, 0, 0, 0, 0, 0, 0, -4928, 0, 0, 0, 0, 0, 11048, 0, 0, 0, 3680, 0, -2496, 0, 0, 0, 6366, 0, 0, 0, 0, 0, 15872, 0, 0, 0, 0, 0, 0, 0, -2064, 0, 0, 0, 0, 0, -236, 0, 0, 0, -13020, 0, 23304, 0, 0, 0, -7248, 0, 0, 0, 0, 0, 1140, 0, 0, 0, 0, 0, 0, 0, -1548, 0, 0, 0, 0, 0, 10696, 0, 0, 0, -8960, 0, -3920, 0, 0, 0, 3844, 0, 0, 0, 0, 0, -22560, 0, 0, 0, 0, 0, 0, 0, -18416, 0, 0, 0, 0, 0, 20672, 0, 0, 0, -3888, 0, 24232, 0, 0, 0, 19408, 0, 0, 0, 0, 0, 1728, 0, 0, 0, 0, 0, 0, 0, -27576, 0, 0, 0, 0, 0, 29312, 0, 0, 0, -80, 0, 5180, 0, 0, 0, 12592, 0, 0, 0, 0, 0, 34832, 0, 0, 0, 0, 0, 0, 0, -18296, 0, 0, 0, 0, 0, 10160, 0, 0, 0, -6588, 0, 35504, 0, 0, 0, -24424, 0, 0, 0, 0, 0, 4924, 0, 0, 0, 0, 0, 0, 0, -5680, 0, 0, 0, 0, 0, -36848, 0, 0, 0, -28800, 0, 5456, 0, 0, 0, -1824, 0, 0, 0, 0, 0, -44368, 0, 0, 0, 0, 0, 0, 0, -24360, 0, 0, 0, 0, 0, 22924, 0, 0, 0, -12588, 0, -49184, 0, 0, 0, 59456, 0, 0, 0, 0, 0, 9084, 0, 0, 0, 0, 0, 0, 0, -25200, 0, 0, 0, 0, 0, 8376, 0, 0, 0, 9776, 0, -1712, 0, 0, 0, -6080, 0, 0, 0, 0, 0, 96016, 0, 0, 0, 0, 0, 0, 0, -26152, 0, 0, 0, 0, 0, 44500, 0, 0, 0, -532, 0, 52768, 0, 0, 0, -33208, 0, 0, 0, 0, 0, -2804, 0, 0, 0, 0, 0, 0, 0, -45148, 0, 0, 0, 0, 0, 5200, 0, 0, 0, -71712, 0, 25760, 0, 0, 0, 21828, 0, 0, 0, 0, 0, -108928, 0, 0, 0, 0, 0, 0, 0, -65376, 0, 0, 0, 0, 0, 12212, 0, 0, 0, 228, 0, -65528, 0, 0, 0, 68320, 0, 0, 0, 0, 0, 2896, 0, 0, 0, 0, 0, 0, 0, -6336, 0, 0, 0, 0, 0, 74080, 0, 0, 0, 42064, 0, 14984, 0, 0, 0, 442, 0, 0, 0, 0, 0, 149088, 0, 0, 0, 0, 0, 0, 0, 42072, 0, 0, 0, 0, 0, 26956, 0, 0, 0, -3792, 0, 72104, 0, 0, 0, -83880, 0, 0, 0, 0, 0, -1836, 0, 0, 0, 0, 0, 0, 0, -67472, 0, 0, 0, 0, 0, -26520, 0, 0, 0, -104208, 0, 25768, 0, 0, 0, 9440, 0, 0, 0, 0, 0, -172096, 0, 0, 0, 0, 0, 0, 0, -102080, 0, 0, 0, 0, 0, -40900, 0, 0, 0, -56048, 0, -91672, 0, 0, 0, 116576, 0, 0, 0, 0, 0, 18628, 0, 0, 0, 0, 0, 0, 0, -74464, 0, 0, 0, 0, 0, 75152, 0, 0, 0, 69808, 0, 2496, 0, 0, 0, -7812, 0, 0, 0, 0, 0, 192576, 0, 0, 0, 0, 0, 0, 0, 20152, 0, 0, 0, 0, 0, 18524, 0, 0, 0, -86320, 0, 155480, 0, 0, 0, -135464, 0, 0, 0, 0, 0, -7412, 0, 0, 0, 0, 0, 0, 0, -11416, 0, 0, 0, 0, 0, -50280, 0, 0, 0, -69728, 0, -11936, 0, 0, 0, 16808, 0, 0, 0, 0, 0, -267536, 0, 0, 0, 0, 0, 0, 0, -49840, 0, 0, 0, 0, 0, -34288, 0, 0, 0, 33132, 0, -137176, 0, 0, 0, 186320, 0, 0, 0, 0, 0, -28524, 0, 0, 0, 0, 0, 0, 0, 25616, 0, 0, 0, 0, 0, 169368, 0, 0, 0, 111600, 0, 29724, 0, 0, 0, 50922, 0, 0, 0, 0, 0, 353024, 0, 0, 0, 0, 0, 0, 0, 73224, 0, 0, 0, 0, 0, -31972, 0, 0, 0, 73408, 0, 166912, 0, 0, 0, -228376, 0, 0, 0, 0, 0, 64996, 0, 0, 0, 0, 0, 0, 0, -64864, 0, 0, 0, 0, 0, -75064, 0, 0, 0, -118416, 0, 53832, 0, 0, 0, -100, 0, 0, 0, 0, 0, -364512, 0, 0, 0, 0, 0, 0, 0, -41016, 0, 0, 0, 0, 0, 71552, 0, 0, 0, -59372, 0, -186792, 0, 0, 0, 238128, 0, 0, 0, 0, 0, 50204, 0, 0, 0, 0, 0, 0, 0, 22240, 0, 0, 0, 0, 0, 142032, 0, 0, 0, 215824, 0, 15116, 0, 0, 0, -2672, 0, 0, 0, 0, 0, 396288, 0, 0, 0, 0, 0, 0, 0, 88768, 0, 0, 0, 0, 0, -83228, 0, 0, 0, -59088, 0, 139000, 0, 0, 0, -260968, 0, 0, 0, 0, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 467545
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '720.4.f.i', 'source_level': 720, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '120.4.f.d', 'target_level': 120, 'twist_class_label': '120.4.f.d', 'twist_class_level': 120, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 467546
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '720.4.f.i', 'source_level': 720, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '120.4.f.d', 'target_level': 120, 'twist_class_label': '120.4.f.d', 'twist_class_level': 120, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 467547
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '720.4.f.i', 'source_level': 720, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '240.4.f.g', 'target_level': 240, 'twist_class_label': '120.4.f.d', 'twist_class_level': 120, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 467548
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '720.4.f.i', 'source_level': 720, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '240.4.f.g', 'target_level': 240, 'twist_class_label': '120.4.f.d', 'twist_class_level': 120, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 467549
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '720.4.f.i', 'source_level': 720, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '360.4.f.d', 'target_level': 360, 'twist_class_label': '120.4.f.d', 'twist_class_level': 120, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 467550
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '720.4.f.i', 'source_level': 720, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '360.4.f.d', 'target_level': 360, 'twist_class_label': '120.4.f.d', 'twist_class_level': 120, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 467551
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '720.4.f.i', 'source_level': 720, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '600.4.a.t', 'target_level': 600, 'twist_class_label': '120.4.f.d', 'twist_class_level': 120, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 4}
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id: 467552
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '720.4.f.i', 'source_level': 720, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '600.4.a.v', 'target_level': 600, 'twist_class_label': '120.4.f.d', 'twist_class_level': 120, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 4}
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id: 467553
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '720.4.f.i', 'source_level': 720, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '720.4.f.i', 'target_level': 720, 'twist_class_label': '120.4.f.d', 'twist_class_level': 120, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 467554
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '720.4.f.i', 'source_level': 720, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '720.4.f.i', 'target_level': 720, 'twist_class_label': '120.4.f.d', 'twist_class_level': 120, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 467555
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '720.4.f.i', 'source_level': 720, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '960.4.f.n', 'target_level': 960, 'twist_class_label': '120.4.f.d', 'twist_class_level': 120, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 467556
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '720.4.f.i', 'source_level': 720, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '960.4.f.n', 'target_level': 960, 'twist_class_label': '120.4.f.d', 'twist_class_level': 120, 'twisting_char_label': '120.m', 'twisting_char_orbit': 13, 'weight': 4}
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id: 467557
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '720.4.f.i', 'source_level': 720, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '960.4.f.o', 'target_level': 960, 'twist_class_label': '120.4.f.d', 'twist_class_level': 120, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 467558
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '720.4.f.i', 'source_level': 720, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '960.4.f.o', 'target_level': 960, 'twist_class_label': '120.4.f.d', 'twist_class_level': 120, 'twisting_char_label': '120.i', 'twisting_char_orbit': 9, 'weight': 4}
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id: 467559
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '720.4.f.i', 'source_level': 720, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 41, 'target_is_minimal': False, 'target_label': '1200.4.a.bo', 'target_level': 1200, 'twist_class_label': '120.4.f.d', 'twist_class_level': 120, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 467560
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '720.4.f.i', 'source_level': 720, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 43, 'target_is_minimal': False, 'target_label': '1200.4.a.bq', 'target_level': 1200, 'twist_class_label': '120.4.f.d', 'twist_class_level': 120, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 467561
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '720.4.f.i', 'source_level': 720, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 38, 'target_is_minimal': False, 'target_label': '1800.4.a.bl', 'target_level': 1800, 'twist_class_label': '120.4.f.d', 'twist_class_level': 120, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 467562
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '720.4.f.i', 'source_level': 720, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 40, 'target_is_minimal': False, 'target_label': '1800.4.a.bn', 'target_level': 1800, 'twist_class_label': '120.4.f.d', 'twist_class_level': 120, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 4}
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mf_hecke_charpolys • Show schema
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id: 1246025
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 36029140683457232, 'p': 2}
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id: 1246026
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 36029140683457232, 'p': 3}
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id: 1246027
{'charpoly_factorization': [[[15625, 2750, 242, 22, 1], 1]], 'hecke_orbit_code': 36029140683457232, 'p': 5}
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id: 1246028
{'charpoly_factorization': [[[1345600, 0, 2324, 0, 1], 1]], 'hecke_orbit_code': 36029140683457232, 'p': 7}
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id: 1246029
{'charpoly_factorization': [[[1240, -74, 1], 2]], 'hecke_orbit_code': 36029140683457232, 'p': 11}
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id: 1246030
{'charpoly_factorization': [[[5161984, 0, 5060, 0, 1], 1]], 'hecke_orbit_code': 36029140683457232, 'p': 13}
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id: 1246031
{'charpoly_factorization': [[[2903616, 0, 9492, 0, 1], 1]], 'hecke_orbit_code': 36029140683457232, 'p': 17}
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id: 1246032
{'charpoly_factorization': [[[-6656, 80, 1], 2]], 'hecke_orbit_code': 36029140683457232, 'p': 19}
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id: 1246033
{'charpoly_factorization': [[[61716736, 0, 17312, 0, 1], 1]], 'hecke_orbit_code': 36029140683457232, 'p': 23}
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id: 1246034
{'charpoly_factorization': [[[-5696, -50, 1], 2]], 'hecke_orbit_code': 36029140683457232, 'p': 29}
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id: 1246035
{'charpoly_factorization': [[[-41760, -12, 1], 2]], 'hecke_orbit_code': 36029140683457232, 'p': 31}
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id: 1246036
{'charpoly_factorization': [[[6453872896, 0, 161828, 0, 1], 1]], 'hecke_orbit_code': 36029140683457232, 'p': 37}
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id: 1246037
{'charpoly_factorization': [[[24940, 344, 1], 2]], 'hecke_orbit_code': 36029140683457232, 'p': 41}
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id: 1246038
{'charpoly_factorization': [[[11664, 0, 1], 2]], 'hecke_orbit_code': 36029140683457232, 'p': 43}
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id: 1246039
{'charpoly_factorization': [[[27742233600, 0, 434256, 0, 1], 1]], 'hecke_orbit_code': 36029140683457232, 'p': 47}
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id: 1246040
{'charpoly_factorization': [[[10072129600, 0, 201236, 0, 1], 1]], 'hecke_orbit_code': 36029140683457232, 'p': 53}
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id: 1246041
{'charpoly_factorization': [[[-198840, 666, 1], 2]], 'hecke_orbit_code': 36029140683457232, 'p': 59}
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id: 1246042
{'charpoly_factorization': [[[-117212, -244, 1], 2]], 'hecke_orbit_code': 36029140683457232, 'p': 61}
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id: 1246043
{'charpoly_factorization': [[[8276632576, 0, 778448, 0, 1], 1]], 'hecke_orbit_code': 36029140683457232, 'p': 67}
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id: 1246044
{'charpoly_factorization': [[[-162560, -308, 1], 2]], 'hecke_orbit_code': 36029140683457232, 'p': 71}
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id: 1246045
{'charpoly_factorization': [[[97443865600, 0, 1369424, 0, 1], 1]], 'hecke_orbit_code': 36029140683457232, 'p': 73}
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id: 1246046
{'charpoly_factorization': [[[251392, -1052, 1], 2]], 'hecke_orbit_code': 36029140683457232, 'p': 79}
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id: 1246047
{'charpoly_factorization': [[[311451904, 0, 96800, 0, 1], 1]], 'hecke_orbit_code': 36029140683457232, 'p': 83}
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id: 1246048
{'charpoly_factorization': [[[-180252, -684, 1], 2]], 'hecke_orbit_code': 36029140683457232, 'p': 89}
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id: 1246049
{'charpoly_factorization': [[[510230204416, 0, 1956992, 0, 1], 1]], 'hecke_orbit_code': 36029140683457232, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 6, 'hecke_orbit': 9, 'label': '720.4.f.i', 'level': 720, 'portrait': 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', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
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id: 201906000
{'hecke_orbit_code': 36029140683457232, 'n': 1, 'trace_an': 4}
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id: 201906001
{'hecke_orbit_code': 36029140683457232, 'n': 2, 'trace_an': 0}
-
id: 201906002
{'hecke_orbit_code': 36029140683457232, 'n': 3, 'trace_an': 0}
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id: 201906003
{'hecke_orbit_code': 36029140683457232, 'n': 4, 'trace_an': 0}
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id: 201906004
{'hecke_orbit_code': 36029140683457232, 'n': 5, 'trace_an': -22}
-
id: 201906005
{'hecke_orbit_code': 36029140683457232, 'n': 6, 'trace_an': 0}
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id: 201906006
{'hecke_orbit_code': 36029140683457232, 'n': 7, 'trace_an': 0}
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id: 201906007
{'hecke_orbit_code': 36029140683457232, 'n': 8, 'trace_an': 0}
-
id: 201906008
{'hecke_orbit_code': 36029140683457232, 'n': 9, 'trace_an': 0}
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id: 201906009
{'hecke_orbit_code': 36029140683457232, 'n': 10, 'trace_an': 0}
-
id: 201906010
{'hecke_orbit_code': 36029140683457232, 'n': 11, 'trace_an': 148}
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id: 201906011
{'hecke_orbit_code': 36029140683457232, 'n': 12, 'trace_an': 0}
-
id: 201906012
{'hecke_orbit_code': 36029140683457232, 'n': 13, 'trace_an': 0}
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id: 201906013
{'hecke_orbit_code': 36029140683457232, 'n': 14, 'trace_an': 0}
-
id: 201906014
{'hecke_orbit_code': 36029140683457232, 'n': 15, 'trace_an': 0}
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id: 201906015
{'hecke_orbit_code': 36029140683457232, 'n': 16, 'trace_an': 0}
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id: 201906016
{'hecke_orbit_code': 36029140683457232, 'n': 17, 'trace_an': 0}
-
id: 201906017
{'hecke_orbit_code': 36029140683457232, 'n': 18, 'trace_an': 0}
-
id: 201906018
{'hecke_orbit_code': 36029140683457232, 'n': 19, 'trace_an': -160}
-
id: 201906019
{'hecke_orbit_code': 36029140683457232, 'n': 20, 'trace_an': 0}
-
id: 201906020
{'hecke_orbit_code': 36029140683457232, 'n': 21, 'trace_an': 0}
-
id: 201906021
{'hecke_orbit_code': 36029140683457232, 'n': 22, 'trace_an': 0}
-
id: 201906022
{'hecke_orbit_code': 36029140683457232, 'n': 23, 'trace_an': 0}
-
id: 201906023
{'hecke_orbit_code': 36029140683457232, 'n': 24, 'trace_an': 0}
-
id: 201906024
{'hecke_orbit_code': 36029140683457232, 'n': 25, 'trace_an': 0}
-
id: 201906025
{'hecke_orbit_code': 36029140683457232, 'n': 26, 'trace_an': 0}
-
id: 201906026
{'hecke_orbit_code': 36029140683457232, 'n': 27, 'trace_an': 0}
-
id: 201906027
{'hecke_orbit_code': 36029140683457232, 'n': 28, 'trace_an': 0}
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