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mf_newforms • Show schema
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{'Nk2': 1700, 'analytic_conductor': 3.3936420859044163, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [425, 2, [52, 326], [1, 2]], 'cm_discs': [], 'conrey_index': 324, 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, 0, 1]], [3, [1, 0, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 68753031593, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '425.2.b.a', 'level': 425, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [5, 17], 'level_radical': 85, 'minimal_twist': '425.2.a.b', 'nf_label': '2.0.4.1', 'prim_orbit_index': 2, 'qexp_display': 'q+i q^{2}+i q^{3}+q^{4}-q^{6}+i q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '425.2.b', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1260803572948034907, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.009', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.094', 'prec': 17}, {'__RealLiteral__': 0, 'data': '16.043', 'prec': 20}, {'__RealLiteral__': 0, 'data': '2.459', 'prec': 17}, {'__RealLiteral__': 0, 'data': '159.227', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.514', 'prec': 17}, 'traces': [2, 0, 0, 2, 0, -2, 0, 0, 4, 0, -8, 0, 0, -2, 0, -2, 0, 0, 12, 0, -2, 0, 0, -6, 0, -2, 0, 0, 0, 0, -14, 0, 0, -2, 0, 4, 0, 0, -2, 0, -4, 0, 0, -8, 0, 0, 0, 0, 12, 0, -2, 0, 0, -10, 0, -6, 0, 0, -16, 0, 20, 0, 0, -14, 0, 8, 0, 0, 0, 0, 14, 0, 0, 8, 0, 12, 0, 0, 22, 0, 2, 0, 0, -2, 0, 8, 0, 0, 12, 0, -2, 0, 0, 12, 0, -10, 0, 0, -16, 0, 30, 0, 0, -6, 0, 22, 0, 0, 8, 0, 8, 0, 0, -12, 0, 0, 0, 0, -2, 0, 10, 0, 0, -14, 0, -4, 0, 0, 8, 0, -30, 0, 0, -16, 0, -6, 0, 0, 26, 0, 12, 0, 0, -4, 0, 8, 0, 0, -42, 0, -36, 0, 0, 8, 0, -2, 0, 0, 22, 0, 0, 0, 0, -4, 0, -16, 0, 0, 24, 0, 24, 0, 0, 0, 0, 8, 0, 0, -12, 0, -44, 0, 0, 0, 0, 14, 0, 0, -10, 0, -20, 0, 0, 32, 0, 12, 0, 0, 0, 0, -16, 0, 0, -2, 0, 12, 0, 0, -48, 0, -50, 0, 0, 38, 0, -30, 0, 0, 8, 0, -2, 0, 0, -10, 0, -24, 0, 0, -2, 0, 8, 0, 0, -4, 0, -16, 0, 0, 16, 0, 36, 0, 0, 20, 0, 4, 0, 0, -16, 0, -16, 0, 0, 32, 0, -34, 0, 0, 8, 0, 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0, -48, 0, 0, -46, 0, -58, 0, 0, -50, 0, 24, 0, 0, -48, 0, 0, 0, 0, -20, 0, 114, 0, 0, -36, 0, 4, 0, 0, -50, 0, -68, 0, 0, -88, 0, -16, 0, 0, 0, 0, 8, 0, 0, 12, 0, 60, 0, 0, -2, 0, 12, 0, 0, 32, 0, -8, 0, 0, 42, 0, -6, 0, 0, 0, 0, 22, 0, 0, -72, 0, 36, 0, 0, 60, 0, 2, 0, 0, -6, 0, -2, 0, 0, 88, 0, -40, 0, 0, 8, 0, 24, 0, 0, 112, 0, 72, 0, 0, -44, 0, -12, 0, 0, -20, 0, 68, 0, 0, 16, 0, -32, 0, 0, 8, 0, 28, 0, 0, 44, 0, 16, 0, 0, 22, 0, 36, 0, 0, 36, 0, 0, 0, 0, -12, 0, -64, 0, 0, -8, 0, -20, 0, 0, -48, 0, 16, 0, 0, 12, 0, 0, 0, 0, 0, 0, 10, 0, 0, -14, 0, -16, 0, 0, 40, 0], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 1], [0, 1], [1, 0], [0, 0], [-1, 0], [0, 1], [0, 3], [2, 0], [0, 0], [-4, 0], [0, 1], [0, 1], [-1, 0], [0, 0], [-1, 0], [0, 1], [0, 2], [6, 0], [0, 0], [-1, 0], [0, -4], [0, 0], [-3, 0], [0, 0], [-1, 0], [0, 5], [0, 1], [0, 0], [0, 0], [-7, 0], [0, 5], [0, -4], [-1, 0], [0, 0], [2, 0], [0, -4], [0, 6], [-1, 0], [0, 0], [-2, 0], [0, -1], [0, -4], [-4, 0], [0, 0], [0, 0], [0, -6], [0, -1], [6, 0], [0, 0], [-1, 0], [0, 1], [0, -11], [-5, 0], [0, 0], [-3, 0], [0, 6], [0, 0], [-8, 0], [0, 0], [10, 0], [0, -7], [0, 2], [-7, 0], [0, 0], [4, 0], [0, 8], [0, 1], [0, 0], [0, 0], [7, 0], [0, 6], [0, -4], [4, 0], [0, 0], [6, 0], [0, -4], [0, -1], [11, 0], [0, 0], [1, 0], [0, -2], [0, 8], [-1, 0], [0, 0], [4, 0], [0, 0], [0, -12], [6, 0], [0, 0], [-1, 0], [0, 0], [0, -7], [6, 0], [0, 0], [-5, 0], [0, -16], [0, 6], [-8, 0], [0, 0]], 'ap': [[0, 1], [0, 1], [0, 0], [0, 1], [-4, 0], [0, 1], [0, 1], [6, 0], [0, 0], [0, 0], [-7, 0], [0, -4], [-2, 0], [0, -4], [0, -6], [0, -11], [-8, 0], [10, 0], [0, 8], [7, 0], [0, -4], [11, 0], [0, 8], [6, 0], [0, -16], [15, 0], [0, -6], [0, -19], [4, 0], [0, 12], [0, -16], [-15, 0], [0, -11], [13, 0], [-21, 0], [-18, 0], [0, 21], [0, 11], [0, 8], [0, -6], [-6, 0], [-22, 0], [-10, 0], [0, -24], [0, 14], [0, 0], [-25, 0], [0, 2], [0, 25], [-1, 0], [0, 8], [8, 0], [18, 0], [-8, 0], [0, 19], [0, -16], [-10, 0], [2, 0], [0, -30], [9, 0], [0, 24], [0, -6], [0, 20], [-27, 0], [0, 10], [0, -14], [-14, 0], [0, -24], [0, 7], [-19, 0], [0, -19], [10, 0], [0, 23], [0, -19], [-25, 0], [0, -6], [34, 0], [0, 4], [6, 0], [-19, 0], [-12, 0], [-25, 0], [31, 0], [0, 34], [33, 0], [0, -6], [-36, 0], [0, 3], [-14, 0], [0, -12], [0, 22], [12, 0], [0, 4], [20, 0], [-13, 0], [0, 0], [-5, 0], [18, 0], [0, -20], [-8, 0], [0, 5], [0, -37], [0, 26], [14, 0], [-3, 0], [0, 30], [0, 0], [0, -9], [44, 0], [-8, 0], [0, -27], [0, 47], [0, 36], [-4, 0], [-28, 0], [-12, 0], [0, -1], [0, 4], [0, -4], [2, 0], [-5, 0], [0, 38], [0, -36], [0, -9], [35, 0], [30, 0], [6, 0], [-17, 0], [0, 18], [0, 5], [2, 0], [0, -21], [-32, 0], [0, 38], [-39, 0], [-33, 0], [0, -45], [0, 15], [0, -17], [22, 0], [7, 0], [-10, 0], [0, -53], [0, -36], [-25, 0], [-23, 0], [0, 14], [0, -20], [-18, 0], [0, -56], [0, 16], [30, 0], [0, 2], [0, -43], [0, -36], [1, 0], [44, 0], [56, 0], [0, 25], [34, 0], [0, -4], [0, -9], [0, -4], [-32, 0], [0, 13], [0, 21], [5, 0], [0, 4]], 'char_orbit_index': 2, 'field_poly': [1, 0, 1], 'hecke_orbit_code': 68753031593, 'hecke_ring_character_values': [[52, [-1, 0]], [326, [1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '425.2.b.a', 'level': 425, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 1700, 'analytic_conductor': 3.3936420859044163, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [425, 2, [52, 326], [1, 2]], 'conrey_index': 324, 'cusp_dim': 40, 'dim': 24, 'eis_dim': 12, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 3], 'hecke_orbit_code': 68753031593, 'hecke_orbit_dims': [2, 2, 2, 4, 4, 10], 'label': '425.2.b', 'level': 425, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [5, 17], 'level_radical': 85, 'mf_dim': 52, 'mf_new_dim': 24, 'num_forms': 6, 'prim_orbit_index': 2, 'relative_dim': 24, 'sturm_bound': 90, 'trace_bound': 6, 'trace_display': [0, 0, 0, 0], 'traces': [24, 0, 0, -24, 0, -4, 0, 0, -20, 0, 0, 0, 0, -4, 0, 40, 0, 0, 0, 0, -28, 0, 0, 16, 0, -20, 0, 0, 4, 0, 36, 0, 0, -4, 0, 4, 0, 0, -56, 0, -4, 0, 0, 24, 0, 28, 0, 0, -4, 0, 8, 0, 0, 80, 0, -8, 0, 0, -8, 0, -16, 0, 0, -104, 0, -96, 0, 0, 0, 0, 56, 0, 0, 68, 0, 32, 0, 0, -68, 0, 24, 0, 0, 140, 0, -64, 0, 0, 56, 0, 0, 0, 0, 64, 0, -156, 0, 0, -12, 0, -60, 0, 0, 164, 0, -92, 0, 0, 20, 0, 8, 0, 0, 4, 0, 12, 0, 0, -20, 0, 16, 0, 0, -136, 0, 16, 0, 0, 44, 0, -12, 0, 0, -56, 0, -12, 0, 0, -16, 0, 112, 0, 0, -132, 0, -36, 0, 0, -44, 0, 80, 0, 0, 24, 0, 28, 0, 0, 16, 0, -48, 0, 0, -60, 0, 72, 0, 0, 76, 0, 24, 0, 0, 40, 0, 40, 0, 0, -16, 0, -12, 0, 0, -20, 0, 76, 0, 0, 20, 0, 24, 0, 0, -120, 0, 60, 0, 0, -152, 0, -32, 0, 0, -20, 0, 80, 0, 0, 8, 0, 20, 0, 0, 32, 0, -68, 0, 0, 88, 0, 8, 0, 0, 28, 0, -48, 0, 0, 12, 0, -24, 0, 0, -136, 0, 0, 0, 0, 24, 0, 16, 0, 0, 88, 0, 248, 0, 0, 16, 0, -32, 0, 0, 64, 0, 104, 0, 0, -16, 0, -224, 0, 0, 112, 0, 164, 0, 0, -16, 0, -32, 0, 0, 60, 0, 64, 0, 0, -112, 0, -92, 0, 0, -340, 0, -40, 0, 0, -24, 0, -32, 0, 0, -232, 0, -108, 0, 0, 20, 0, -12, 0, 0, 32, 0, -36, 0, 0, 16, 0, 96, 0, 0, -76, 0, 208, 0, 0, -128, 0, -20, 0, 0, 176, 0, -160, 0, 0, 216, 0, 104, 0, 0, -140, 0, -84, 0, 0, 128, 0, -8, 0, 0, 248, 0, -116, 0, 0, -28, 0, 52, 0, 0, -308, 0, -80, 0, 0, 112, 0, -56, 0, 0, 52, 0, 16, 0, 0, 224, 0, -20, 0, 0, -20, 0, -8, 0, 0, -140, 0, -100, 0, 0, 456, 0, 84, 0, 0, 144, 0, 48, 0, 0, -8, 0, 100, 0, 0, -40, 0, -108, 0, 0, 20, 0, -112, 0, 0, 44, 0, -24, 0, 0, 28, 0, -308, 0, 0, -80, 0, -36, 0, 0, 172, 0, -172, 0, 0, 224, 0, 52, 0, 0, 180, 0, -20, 0, 0, 0, 0, -196, 0, 0, -248, 0, 280, 0, 0, -92, 0, -56, 0, 0, 0, 0, -284, 0, 0, -8, 0, -200, 0, 0, -180, 0, 196, 0, 0, 8, 0, 152, 0, 0, -28, 0, -8, 0, 0, 184, 0, 4, 0, 0, -120, 0, 68, 0, 0, -108, 0, -40, 0, 0, -64, 0, -44, 0, 0, 28, 0, -24, 0, 0, -16, 0, 248, 0, 0, -12, 0, 176, 0, 0, 124, 0, 356, 0, 0, -48, 0, 16, 0, 0, -16, 0, -24, 0, 0, 64, 0, -80, 0, 0, 76, 0, 296, 0, 0, 20, 0, 12, 0, 0, 20, 0, -84, 0, 0, -64, 0, -32, 0, 0, -52, 0, -180, 0, 0, -120, 0, -8, 0, 0, -64, 0, -132, 0, 0, -16, 0, -12, 0, 0, 40, 0, 172, 0, 0, 8, 0, 168, 0, 0, -196, 0, 144, 0, 0, -44, 0, -56, 0, 0, 88, 0, -108, 0, 0, -136, 0, 8, 0, 0, -384, 0, 60, 0, 0, -100, 0, -8, 0, 0, -112, 0, -240, 0, 0, 216, 0, 64, 0, 0, -280, 0, 220, 0, 0, -12, 0, 8, 0, 0, 12, 0, 284, 0, 0, -196, 0, -140, 0, 0, 160, 0, -80, 0, 0, -96, 0, -76, 0, 0, 120, 0, -172, 0, 0, 224, 0, 116, 0, 0, 16, 0, -216, 0, 0, 32, 0, -208, 0, 0, 112, 0, 140, 0, 0, -208, 0, 300, 0, 0, -240, 0, -72, 0, 0, 156, 0, 104, 0, 0, 348, 0, 120, 0, 0, 160, 0, 120, 0, 0, -336, 0, -220, 0, 0, 0, 0, 364, 0, 0, -24, 0, 152, 0, 0, -104, 0, -176, 0, 0, 260, 0, 216, 0, 0, -176, 0, 24, 0, 0, -224, 0, -236, 0, 0, 0, 0, 236, 0, 0, -204, 0, 148, 0, 0, -164, 0, 384, 0, 0, 372, 0, 20, 0, 0, 164, 0, -212, 0, 0, 120, 0, -392, 0, 0, 52, 0, -188, 0, 0, -128, 0, 256, 0, 0, -96, 0, -64, 0, 0, 156, 0, 4, 0, 0, -152, 0, -56, 0, 0, 136, 0, 40, 0, 0, 8, 0, 40, 0, 0, 176, 0, 116, 0, 0, 136, 0, 72, 0, 0, 296, 0, 144, 0, 0, -64, 0, 48, 0, 0, -352, 0, -508, 0, 0, -28, 0, 96, 0, 0, -84, 0, -576, 0, 0, -368, 0, -144, 0, 0, -24, 0, -96, 0, 0, -40, 0, 64, 0, 0, 32, 0, 172, 0, 0, 8, 0, -68, 0, 0, 400, 0, 240, 0, 0, -88, 0, -120, 0, 0, 272, 0, -440, 0, 0, -120, 0, 180, 0, 0, 40, 0, -176, 0, 0, 4, 0, -380, 0, 0, -300, 0, 344, 0, 0, 72, 0, 8, 0, 0, 568, 0, 48, 0, 0, 96, 0, 0, 0, 0, -132, 0, -684, 0, 0, -24, 0, 280, 0, 0, 120, 0, -128, 0, 0, -108, 0, -112, 0, 0, 184, 0, -48, 0, 0, 120, 0, 180, 0, 0, 536, 0, -480, 0, 0, 20, 0, 8, 0, 0, 312, 0, 80, 0, 0, 104, 0, 244, 0, 0, 528, 0, -420, 0, 0, 28, 0, -184, 0, 0, 388, 0, -192, 0, 0, -224, 0, -232, 0, 0, -400, 0, 4, 0, 0, 16, 0, 320, 0, 0, 60, 0, -184, 0, 0, 352, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 311430
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '425.2.b.a', 'source_level': 425, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '425.2.a.b', 'target_level': 425, 'twist_class_label': '425.2.a.b', 'twist_class_level': 425, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 311431
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '425.2.b.a', 'source_level': 425, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '425.2.a.c', 'target_level': 425, 'twist_class_label': '425.2.a.b', 'twist_class_level': 425, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 311432
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '425.2.b.a', 'source_level': 425, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '425.2.b.a', 'target_level': 425, 'twist_class_label': '425.2.a.b', 'twist_class_level': 425, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 311433
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '425.2.b.a', 'source_level': 425, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '425.2.b.a', 'target_level': 425, 'twist_class_label': '425.2.a.b', 'twist_class_level': 425, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 311434
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '425.2.b.a', 'source_level': 425, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '3825.2.a.f', 'target_level': 3825, 'twist_class_label': '425.2.a.b', 'twist_class_level': 425, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 311435
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '425.2.b.a', 'source_level': 425, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '3825.2.a.k', 'target_level': 3825, 'twist_class_label': '425.2.a.b', 'twist_class_level': 425, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 311436
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '425.2.b.a', 'source_level': 425, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '6800.2.a.i', 'target_level': 6800, 'twist_class_label': '425.2.a.b', 'twist_class_level': 425, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 311437
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '425.2.b.a', 'source_level': 425, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '6800.2.a.q', 'target_level': 6800, 'twist_class_label': '425.2.a.b', 'twist_class_level': 425, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 311438
{'conductor': 85, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '425.2.b.a', 'source_level': 425, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '7225.2.a.b', 'target_level': 7225, 'twist_class_label': '425.2.a.b', 'twist_class_level': 425, 'twisting_char_label': '85.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 311439
{'conductor': 85, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '425.2.b.a', 'source_level': 425, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '7225.2.a.h', 'target_level': 7225, 'twist_class_label': '425.2.a.b', 'twist_class_level': 425, 'twisting_char_label': '85.g', 'twisting_char_orbit': 7, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 866950
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 68753031593, 'p': 2}
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id: 866951
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 68753031593, 'p': 3}
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id: 866952
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 68753031593, 'p': 5}
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id: 866953
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 68753031593, 'p': 7}
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id: 866954
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 68753031593, 'p': 11}
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id: 866955
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 68753031593, 'p': 13}
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id: 866956
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 68753031593, 'p': 17}
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id: 866957
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 68753031593, 'p': 19}
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id: 866958
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 68753031593, 'p': 23}
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id: 866959
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 68753031593, 'p': 29}
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id: 866960
{'charpoly_factorization': [[[7, 1], 2]], 'hecke_orbit_code': 68753031593, 'p': 31}
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id: 866961
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 68753031593, 'p': 37}
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id: 866962
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 68753031593, 'p': 41}
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id: 866963
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 68753031593, 'p': 43}
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id: 866964
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 68753031593, 'p': 47}
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id: 866965
{'charpoly_factorization': [[[121, 0, 1], 1]], 'hecke_orbit_code': 68753031593, 'p': 53}
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id: 866966
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 68753031593, 'p': 59}
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id: 866967
{'charpoly_factorization': [[[-10, 1], 2]], 'hecke_orbit_code': 68753031593, 'p': 61}
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id: 866968
{'charpoly_factorization': [[[64, 0, 1], 1]], 'hecke_orbit_code': 68753031593, 'p': 67}
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id: 866969
{'charpoly_factorization': [[[-7, 1], 2]], 'hecke_orbit_code': 68753031593, 'p': 71}
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id: 866970
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 68753031593, 'p': 73}
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id: 866971
{'charpoly_factorization': [[[-11, 1], 2]], 'hecke_orbit_code': 68753031593, 'p': 79}
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id: 866972
{'charpoly_factorization': [[[64, 0, 1], 1]], 'hecke_orbit_code': 68753031593, 'p': 83}
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id: 866973
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 68753031593, 'p': 89}
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id: 866974
{'charpoly_factorization': [[[256, 0, 1], 1]], 'hecke_orbit_code': 68753031593, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 2, 'hecke_orbit': 1, 'label': '425.2.b.a', 'level': 425, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 4469107
{'hecke_orbit_code': 68753031593, 'n': 1, 'trace_an': 2}
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id: 4469108
{'hecke_orbit_code': 68753031593, 'n': 2, 'trace_an': 0}
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id: 4469109
{'hecke_orbit_code': 68753031593, 'n': 3, 'trace_an': 0}
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id: 4469110
{'hecke_orbit_code': 68753031593, 'n': 4, 'trace_an': 2}
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id: 4469111
{'hecke_orbit_code': 68753031593, 'n': 5, 'trace_an': 0}
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id: 4469112
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