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mf_newforms • Show schema
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{'Nk2': 2500, 'analytic_conductor': 4.990650126330024, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[5, 1]], 'atkin_lehner_string': '+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [625, 1, [2], [1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 8, 'field_disc': 6152203125, 'field_disc_factorization': [[3, 4], [5, 6], [4861, 1]], 'field_poly': [1, 16, -27, -35, 26, 20, -8, -3, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-9, 0, 69, 60, -29, -35, -1, 5, 1]], [3, [-29, -40, 71, 105, -19, -45, -4, 5, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014398543037041, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '625.2.a.e', 'level': 625, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [5], 'level_radical': 5, 'minimal_twist': '625.2.a.e', 'nf_label': '8.8.6152203125.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1+\\beta _{1})q^{2}+(\\beta _{3}-\\beta _{5}+\\beta _{7})q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '625.2.a', 'trace_display': [-5, -5, 0, -10], 'trace_hash': 1474513309332963977, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.355', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '143.261', 'prec': 24}, {'__RealLiteral__': 0, 'data': '34.782', 'prec': 20}, {'__RealLiteral__': 0, 'data': '4199.567', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.025', 'prec': 17}, 'traces': [8, -5, -5, 11, 0, -4, -10, -15, 9, 0, 1, -10, -10, -8, 0, 13, -15, 5, -10, 0, -14, 5, -30, 5, 0, 11, -20, 5, 10, 0, -9, -30, -5, 7, 0, 3, 10, -20, 8, 0, -4, 35, 0, -18, 0, -9, -30, -5, -4, 0, -14, -5, -10, -20, 0, 0, 10, 30, -5, 0, 6, -10, 0, -9, 0, -18, -10, -40, 3, 0, -9, 15, 0, -18, 0, -10, -5, 30, -20, 0, 8, 45, -40, -28, 0, -24, -40, 40, -5, 0, 6, -15, 40, 47, 0, 71, 0, 30, -22, 0, -24, 70, -40, -20, 0, 46, -35, 45, -30, 0, -29, 40, -15, 50, 0, -25, -15, 20, 27, 0, 29, 5, 40, 42, 0, 41, 10, 40, 53, 0, -9, 80, 30, 62, 0, 40, 45, 75, -10, 0, 26, 65, -75, -11, 0, -49, 65, 85, 25, 0, -19, 30, 0, -16, 0, -54, 55, 30, -22, 0, 81, 55, 35, -53, 0, 36, -70, 50, -26, 0, -15, -10, -15, 25, 0, -39, 10, -10, -30, 0, -9, -25, -65, 15, 0, -53, 5, -65, 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1, 0, 0, 0, 0, 0, 0, 0], [-1, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, -1, 0, 1], [2, -1, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-2, -1, -1, -2, 0, 1, -2, -1], [-1, -1, 0, 0, 0, 1, 0, -1], [-2, 1, -1, 0, 0, 0, 1, -1], [0, 0, 0, -1, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [2, 1, 0, 1, -2, 0, 2, -1], [0, 1, 0, 1, -1, -1, 3, 2], [-3, 0, 0, -1, 1, 0, -2, 1], [0, -1, 0, 1, 1, -1, 2, 1], [0, 0, 0, 0, 0, 0, 0, 0], [2, -2, 0, 1, 0, 1, -1, 1], [-4, 0, -1, -3, 0, 1, -1, -1], [3, 0, 1, 4, 0, 1, 1, -1], [-2, -2, -1, -2, 1, 0, -1, -2], [0, 0, 0, 0, 0, 0, 0, 0], [-2, 1, 0, -1, -1, 1, 0, -2], [-3, -1, 0, -6, 1, 0, -3, -1], [-3, -1, 0, 0, -1, 1, 0, -1], [0, -2, 0, -2, 0, 1, -3, -3], [0, 0, 0, 0, 0, 0, 0, 0], [4, 0, 0, 3, -1, -1, 2, 1], [-2, -1, 1, -1, -1, -1, -2, 0], [0, -1, -1, 1, 0, 2, -3, -1], [-2, 1, -1, -3, 1, 1, -2, -1], [0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 2, 4, 0, -1, 1, 4], [-6, 0, -1, -2, 2, -2, -1, 2], [0, -3, 1, -2, 1, 0, -1, -4], [5, -1, 1, 4, -2, -2, 2, 3], [0, 0, 0, 0, 0, 0, 0, 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-2, 3], [15, -2, 7, 18, -4, 5, 8, -8], [-2, -3, 1, 8, 0, -1, -3, 18], [-7, 15, 0, -6, -9, -6, 7, 5], [-2, -1, 11, -2, -2, -7, 7, 8], [-15, 3, -6, -14, 4, -2, -7, 0], [1, 0, 3, -8, -5, -9, 4, -9], [-1, -12, 8, -7, 11, -3, 4, 0], [-6, 9, 0, -9, -6, 0, 12, 9], [9, 0, 4, 8, -2, -4, 6, 10], [-7, -5, -4, -1, 4, -9, -13, 7], [3, -4, -8, -17, 8, 3, -4, -10], [3, -3, -4, 11, 4, -7, 13, 1], [17, -10, 4, 1, 1, 4, 8, -2], [-19, 3, 1, -5, 5, 2, 1, -2], [6, 1, 8, 15, -10, -9, 8, 14], [-24, 0, -8, 4, 10, -1, -14, -1], [15, -10, -1, 12, 3, 0, 0, -13], [-23, 15, 2, -11, -11, 6, 10, 0], [2, -13, -3, -9, 9, 0, 4, -11], [26, -8, 1, 3, -4, 2, -3, -15], [-4, 0, -1, -4, 7, -10, -7, 1], [13, 6, 11, 13, -4, -5, 19, 3], [2, 3, 7, 10, -7, -9, 7, 4], [14, -6, -2, -8, 2, 1, -3, 7], [6, -6, 7, 7, 8, -7, -15, 23], [-9, -14, -11, -2, 13, -3, -17, -9], [-17, 5, -3, 7, 5, 2, -3, 18], [10, 11, 0, -13, -7, 10, 2, -11], [-7, 2, 1, -13, -7, 2, -10, -4], [-10, 3, 9, -12, 2, -5, -3, -4], [6, -3, 5, 0, -4, 0, -6, -12], [-1, 10, -1, 14, 1, -3, -14, 7]], 'char_orbit_index': 1, 'field_poly': [1, 16, -27, -35, 26, 20, -8, -3, 1], 'hecke_orbit_code': 18014398543037041, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 3, 3, 3, 3, 3], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [3, 1, 1, 0, 0, 0, 0, 0], [4, 5, 2, 0, 0, 0, 1, -1], [19, 10, 8, 1, 0, 1, 3, -3], [44, 33, 21, 3, 2, 3, 12, -11], [148, 83, 67, 17, 8, 14, 37, -33], [406, 244, 191, 57, 39, 45, 122, -104]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [-3, -1, 1, 0, 0, 0, 0, 0], [1, -15, -1, 17, -2, -4, 1, 0], [0, 4, -15, -1, 17, -2, -4, 1], [-4, 36, -5, -26, 5, 4, -1, 0], [0, -8, 51, -4, -43, 7, 8, -2], [-6, 1, 57, -7, -43, 7, 8, -2]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 8, 'label': '625.2.a.e', 'level': 625, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[5, -1]], 18, 3], [[[5, 1]], 14, 4]], 'ALdims': [14, 18], 'Nk2': 2500, 'analytic_conductor': 4.990650126330024, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [625, 1, [2], [1]], 'conrey_index': 1, 'cusp_dim': 48, 'dim': 32, 'eis_dim': 29, 'eis_new_dim': 16, 'hecke_cutter_primes': [2, 3], 'hecke_orbit_code': 33555057, 'hecke_orbit_dims': [2, 2, 2, 2, 8, 8, 8], 'label': '625.2.a', 'level': 625, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [5], 'level_radical': 5, 'mf_dim': 77, 'mf_new_dim': 48, 'num_forms': 7, 'plus_dim': 14, 'prim_orbit_index': 1, 'relative_dim': 32, 'sturm_bound': 125, 'trace_bound': 3, 'trace_display': [0, 0, 0, 0], 'traces': [32, 0, 0, 24, 0, 4, 0, 0, 16, 0, 4, 0, 0, 8, 0, 12, 0, 0, -10, 0, -6, 0, 0, 20, 0, -6, 0, 0, 10, 0, -6, 0, 0, 18, 0, 12, 0, 0, 2, 0, 14, 0, 0, -22, 0, -26, 0, 0, -26, 0, -46, 0, 0, -50, 0, -10, 0, 0, -30, 0, 4, 0, 0, -46, 0, -2, 0, 0, 32, 0, 24, 0, 0, -12, 0, -40, 0, 0, -40, 0, -8, 0, 0, -52, 0, -56, 0, 0, 30, 0, -46, 0, 0, 48, 0, 84, 0, 0, 2, 0, 14, 0, 0, 30, 0, 54, 0, 0, 20, 0, -16, 0, 0, 30, 0, -60, 0, 0, 48, 0, -24, 0, 0, 8, 0, 84, 0, 0, 42, 0, -6, 0, 0, 18, 0, 90, 0, 0, -20, 0, 64, 0, 0, -94, 0, -76, 0, 0, 50, 0, 14, 0, 0, 6, 0, -86, 0, 0, 12, 0, 64, 0, 0, -52, 0, 84, 0, 0, -94, 0, -30, 0, 0, -30, 0, -46, 0, 0, -40, 0, -6, 0, 0, 20, 0, -142, 0, 0, 40, 0, -36, 0, 0, 48, 0, -32, 0, 0, 0, 0, -96, 0, 0, -22, 0, 104, 0, 0, -70, 0, -96, 0, 0, 108, 0, -180, 0, 0, -18, 0, 84, 0, 0, -72, 0, 44, 0, 0, 60, 0, 128, 0, 0, -28, 0, -10, 0, 0, -20, 0, 14, 0, 0, 78, 0, 118, 0, 0, -38, 0, 64, 0, 0, -112, 0, -48, 0, 0, 18, 0, 130, 0, 0, -70, 0, 160, 0, 0, 40, 0, -26, 0, 0, 138, 0, 54, 0, 0, 72, 0, -106, 0, 0, 118, 0, 168, 0, 0, -76, 0, 114, 0, 0, -22, 0, -160, 0, 0, 62, 0, -136, 0, 0, 0, 0, -246, 0, 0, -88, 0, 54, 0, 0, -92, 0, -110, 0, 0, 20, 0, -6, 0, 0, -106, 0, -106, 0, 0, 28, 0, 44, 0, 0, 68, 0, -206, 0, 0, 102, 0, -22, 0, 0, -30, 0, 174, 0, 0, -50, 0, 100, 0, 0, 50, 0, 210, 0, 0, 70, 0, -138, 0, 0, 28, 0, -2, 0, 0, 32, 0, 44, 0, 0, 66, 0, 220, 0, 0, 10, 0, 4, 0, 0, -120, 0, 144, 0, 0, 30, 0, 144, 0, 0, -52, 0, -256, 0, 0, -10, 0, 64, 0, 0, -52, 0, -110, 0, 0, 70, 0, 134, 0, 0, 62, 0, 64, 0, 0, 90, 0, -76, 0, 0, -30, 0, -182, 0, 0, 24, 0, -6, 0, 0, 56, 0, -60, 0, 0, 80, 0, -188, 0, 0, -52, 0, 124, 0, 0, 100, 0, -52, 0, 0, 38, 0, 250, 0, 0, 30, 0, -96, 0, 0, 0, 0, -166, 0, 0, -252, 0, 44, 0, 0, 120, 0, 66, 0, 0, 110, 0, -6, 0, 0, -118, 0, -56, 0, 0, -298, 0, 64, 0, 0, -80, 0, 164, 0, 0, -250, 0, 204, 0, 0, -20, 0, 38, 0, 0, 70, 0, -36, 0, 0, 108, 0, 264, 0, 0, 82, 0, -76, 0, 0, 8, 0, -6, 0, 0, -54, 0, -220, 0, 0, 0, 0, 240, 0, 0, 78, 0, -36, 0, 0, 78, 0, -332, 0, 0, 52, 0, 30, 0, 0, 138, 0, -140, 0, 0, -128, 0, -12, 0, 0, -2, 0, -66, 0, 0, -10, 0, 24, 0, 0, -104, 0, -218, 0, 0, -258, 0, 124, 0, 0, 70, 0, -106, 0, 0, -20, 0, -186, 0, 0, 130, 0, 300, 0, 0, 100, 0, -36, 0, 0, -2, 0, 258, 0, 0, 110, 0, -126, 0, 0, 108, 0, 0, 0, 0, 40, 0, 120, 0, 0, 112, 0, -6, 0, 0, -222, 0, 44, 0, 0, -482, 0, 134, 0, 0, 12, 0, -186, 0, 0, 148, 0, -40, 0, 0, 90, 0, -62, 0, 0, 100, 0, -436, 0, 0, 70, 0, -196, 0, 0, 10, 0, 244, 0, 0, 132, 0, -222, 0, 0, -412, 0, -378, 0, 0, -172, 0, -46, 0, 0, 130, 0, 50, 0, 0, -198, 0, -86, 0, 0, 198, 0, 150, 0, 0, 162, 0, -136, 0, 0, 168, 0, -46, 0, 0, -130, 0, -70, 0, 0, -214, 0, -110, 0, 0, -160, 0, 194, 0, 0, 158, 0, 162, 0, 0, -164, 0, 214, 0, 0, 118, 0, 54, 0, 0, -170, 0, -110, 0, 0, -50, 0, -26, 0, 0, -252, 0, 64, 0, 0, -170, 0, 50, 0, 0, 24, 0, 204, 0, 0, 248, 0, 284, 0, 0, -160, 0, -56, 0, 0, -188, 0, 70, 0, 0, 80, 0, -12, 0, 0, -116, 0, 208, 0, 0, 252, 0, 154, 0, 0, -252, 0, -50, 0, 0, 138, 0, -130, 0, 0, 178, 0, 98, 0, 0, -180, 0, -146, 0, 0, -44, 0, 14, 0, 0, -108, 0, -226, 0, 0, 270, 0, 10, 0, 0, -90, 0, 54, 0, 0, 250, 0, -420, 0, 0, 130, 0, -258, 0, 0, 28, 0, 224, 0, 0, -138, 0, 34, 0, 0, 106, 0, 240, 0, 0, 120, 0, 98, 0, 0, 30, 0, -16, 0, 0, 70, 0, -16, 0, 0, 180, 0, 354, 0, 0, 142, 0, -356, 0, 0, 88, 0, 144, 0, 0, -42, 0, 284, 0, 0, -150, 0, -300, 0, 0, -130, 0, 104, 0, 0, 180, 0, -92, 0, 0, 32, 0, 204, 0, 0, -342, 0, 140, 0, 0, 140, 0, -56, 0, 0, -44, 0, 94, 0, 0, 60, 0, -170, 0, 0, 218, 0, -10, 0, 0, 152, 0, 64, 0, 0, 20, 0, -142, 0, 0, -38, 0, 4, 0, 0, 162, 0, 210, 0, 0, -32, 0, -154, 0, 0, -2, 0, -452, 0, 0, -70, 0, 224, 0, 0, 338, 0, 204, 0, 0, 110, 0, 80, 0, 0, 130, 0, -260, 0, 0, 52, 0, 114, 0, 0, 126, 0, 184, 0, 0, -60, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 420587
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '625.2.a.e', 'source_level': 625, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '625.2.a.e', 'target_level': 625, 'twist_class_label': '625.2.a.e', 'twist_class_level': 625, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 420588
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '625.2.a.e', 'source_level': 625, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '625.2.a.g', 'target_level': 625, 'twist_class_label': '625.2.a.e', 'twist_class_level': 625, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 420589
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '625.2.a.e', 'source_level': 625, 'target_char_orbit': 2, 'target_dim': 16, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '625.2.b.d', 'target_level': 625, 'twist_class_label': '625.2.a.e', 'twist_class_level': 625, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 420590
{'conductor': 25, 'degree': 4, 'multiplicity': 2, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '625.2.a.e', 'source_level': 625, 'target_char_orbit': 4, 'target_dim': 16, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '625.2.d.m', 'target_level': 625, 'twist_class_label': '625.2.a.e', 'twist_class_level': 625, 'twisting_char_label': '25.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 420591
{'conductor': 25, 'degree': 4, 'multiplicity': 2, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '625.2.a.e', 'source_level': 625, 'target_char_orbit': 4, 'target_dim': 16, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '625.2.d.n', 'target_level': 625, 'twist_class_label': '625.2.a.e', 'twist_class_level': 625, 'twisting_char_label': '25.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 420592
{'conductor': 25, 'degree': 4, 'multiplicity': 2, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '625.2.a.e', 'source_level': 625, 'target_char_orbit': 4, 'target_dim': 16, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '625.2.d.p', 'target_level': 625, 'twist_class_label': '625.2.a.e', 'twist_class_level': 625, 'twisting_char_label': '25.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 420593
{'conductor': 25, 'degree': 4, 'multiplicity': 2, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '625.2.a.e', 'source_level': 625, 'target_char_orbit': 4, 'target_dim': 16, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '625.2.d.q', 'target_level': 625, 'twist_class_label': '625.2.a.e', 'twist_class_level': 625, 'twisting_char_label': '25.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 420594
{'conductor': 25, 'degree': 8, 'multiplicity': 4, 'order': 20, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '625.2.a.e', 'source_level': 625, 'target_char_orbit': 5, 'target_dim': 32, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '625.2.e.j', 'target_level': 625, 'twist_class_label': '625.2.a.e', 'twist_class_level': 625, 'twisting_char_label': '25.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 420595
{'conductor': 25, 'degree': 8, 'multiplicity': 4, 'order': 20, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '625.2.a.e', 'source_level': 625, 'target_char_orbit': 5, 'target_dim': 32, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '625.2.e.k', 'target_level': 625, 'twist_class_label': '625.2.a.e', 'twist_class_level': 625, 'twisting_char_label': '25.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 420596
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '625.2.a.e', 'source_level': 625, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '5625.2.a.s', 'target_level': 5625, 'twist_class_label': '625.2.a.e', 'twist_class_level': 625, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 420597
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '625.2.a.e', 'source_level': 625, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 31, 'target_is_minimal': False, 'target_label': '5625.2.a.be', 'target_level': 5625, 'twist_class_label': '625.2.a.e', 'twist_class_level': 625, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 420598
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '625.2.a.e', 'source_level': 625, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 31, 'target_is_minimal': False, 'target_label': '10000.2.a.be', 'target_level': 10000, 'twist_class_label': '625.2.a.e', 'twist_class_level': 625, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 420599
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '625.2.a.e', 'source_level': 625, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 40, 'target_is_minimal': False, 'target_label': '10000.2.a.bn', 'target_level': 10000, 'twist_class_label': '625.2.a.e', 'twist_class_level': 625, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1136050
{'charpoly_factorization': [[[-9, 0, 69, 60, -29, -35, -1, 5, 1], 1]], 'hecke_orbit_code': 18014398543037041, 'p': 2}
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id: 1136051
{'charpoly_factorization': [[[-29, -40, 71, 105, -19, -45, -4, 5, 1], 1]], 'hecke_orbit_code': 18014398543037041, 'p': 3}
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id: 1136052
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 18014398543037041, 'p': 5}
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id: 1136053
{'charpoly_factorization': [[[1, 45, 124, -25, -154, -35, 24, 10, 1], 1]], 'hecke_orbit_code': 18014398543037041, 'p': 7}
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id: 1136054
{'charpoly_factorization': [[[2421, 3591, -3588, -1617, 970, 82, -58, -1, 1], 1]], 'hecke_orbit_code': 18014398543037041, 'p': 11}
-
id: 1136055
{'charpoly_factorization': [[[361, 1235, 1211, 95, -389, -140, 11, 10, 1], 1]], 'hecke_orbit_code': 18014398543037041, 'p': 13}
-
id: 1136056
{'charpoly_factorization': [[[1611, 7830, 3579, -1605, -1229, -120, 59, 15, 1], 1]], 'hecke_orbit_code': 18014398543037041, 'p': 17}
-
id: 1136057
{'charpoly_factorization': [[[10525, 22275, 14650, 2075, -1285, -455, -15, 10, 1], 1]], 'hecke_orbit_code': 18014398543037041, 'p': 19}
-
id: 1136058
{'charpoly_factorization': [[[-46089, -78570, -44874, -5670, 4131, 1935, 351, 30, 1], 1]], 'hecke_orbit_code': 18014398543037041, 'p': 23}
-
id: 1136059
{'charpoly_factorization': [[[-60975, 7200, 22875, -7200, -860, 535, -25, -10, 1], 1]], 'hecke_orbit_code': 18014398543037041, 'p': 29}
-
id: 1136060
{'charpoly_factorization': [[[24001, -83134, 8667, 20708, 1445, -833, -83, 9, 1], 1]], 'hecke_orbit_code': 18014398543037041, 'p': 31}
-
id: 1136061
{'charpoly_factorization': [[[81, -6345, 23589, -19500, 1111, 985, -91, -10, 1], 1]], 'hecke_orbit_code': 18014398543037041, 'p': 37}
-
id: 1136062
{'charpoly_factorization': [[[-487629, -382914, 7152, 57933, 9220, -943, -193, 4, 1], 1]], 'hecke_orbit_code': 18014398543037041, 'p': 41}
-
id: 1136063
{'charpoly_factorization': [[[-1949, -11580, -1449, 5685, 1946, -180, -99, 0, 1], 1]], 'hecke_orbit_code': 18014398543037041, 'p': 43}
-
id: 1136064
{'charpoly_factorization': [[[56961, 38070, -68601, -40035, -4904, 975, 314, 30, 1], 1]], 'hecke_orbit_code': 18014398543037041, 'p': 47}
-
id: 1136065
{'charpoly_factorization': [[[-1899, 10035, -12984, -180, 5416, -865, -139, 10, 1], 1]], 'hecke_orbit_code': 18014398543037041, 'p': 53}
-
id: 1136066
{'charpoly_factorization': [[[-225, -10350, -9300, 1650, 2065, -155, -100, 5, 1], 1]], 'hecke_orbit_code': 18014398543037041, 'p': 59}
-
id: 1136067
{'charpoly_factorization': [[[-103529, 175871, -3003, -37567, 5645, 1132, -173, -6, 1], 1]], 'hecke_orbit_code': 18014398543037041, 'p': 61}
-
id: 1136068
{'charpoly_factorization': [[[-1746299, -872140, 71444, 81125, 4006, -2075, -181, 10, 1], 1]], 'hecke_orbit_code': 18014398543037041, 'p': 67}
-
id: 1136069
{'charpoly_factorization': [[[-16749, -108909, 12417, 25083, 70, -1458, -133, 9, 1], 1]], 'hecke_orbit_code': 18014398543037041, 'p': 71}
-
id: 1136070
{'charpoly_factorization': [[[237091, -233095, -292704, 12155, 23846, -185, -314, 0, 1], 1]], 'hecke_orbit_code': 18014398543037041, 'p': 73}
-
id: 1136071
{'charpoly_factorization': [[[249525, -637875, 75225, 117525, -1685, -3350, -115, 20, 1], 1]], 'hecke_orbit_code': 18014398543037041, 'p': 79}
-
id: 1136072
{'charpoly_factorization': [[[12262851, 8357355, 1117191, -216135, -56879, -1810, 431, 40, 1], 1]], 'hecke_orbit_code': 18014398543037041, 'p': 83}
-
id: 1136073
{'charpoly_factorization': [[[1849275, -561600, -504525, 22650, 21415, -455, -295, 5, 1], 1]], 'hecke_orbit_code': 18014398543037041, 'p': 89}
-
id: 1136074
{'charpoly_factorization': [[[972421, 1966920, 1199964, 294195, 23066, -1875, -321, 0, 1], 1]], 'hecke_orbit_code': 18014398543037041, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 5, 'label': '625.2.a.e', 'level': 625, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 147029000
{'hecke_orbit_code': 18014398543037041, 'n': 1, 'trace_an': 8}
-
id: 147029001
{'hecke_orbit_code': 18014398543037041, 'n': 2, 'trace_an': -5}
-
id: 147029002
{'hecke_orbit_code': 18014398543037041, 'n': 3, 'trace_an': -5}
-
id: 147029003
{'hecke_orbit_code': 18014398543037041, 'n': 4, 'trace_an': 11}
-
id: 147029004
{'hecke_orbit_code': 18014398543037041, 'n': 5, 'trace_an': 0}
-
id: 147029005
{'hecke_orbit_code': 18014398543037041, 'n': 6, 'trace_an': -4}
-
id: 147029006
{'hecke_orbit_code': 18014398543037041, 'n': 7, 'trace_an': -10}
-
id: 147029007
{'hecke_orbit_code': 18014398543037041, 'n': 8, 'trace_an': -15}
-
id: 147029008
{'hecke_orbit_code': 18014398543037041, 'n': 9, 'trace_an': 9}
-
id: 147029009
{'hecke_orbit_code': 18014398543037041, 'n': 10, 'trace_an': 0}
-
id: 147029010
{'hecke_orbit_code': 18014398543037041, 'n': 11, 'trace_an': 1}
-
id: 147029011
{'hecke_orbit_code': 18014398543037041, 'n': 12, 'trace_an': -10}
-
id: 147029012
{'hecke_orbit_code': 18014398543037041, 'n': 13, 'trace_an': -10}
-
id: 147029013
{'hecke_orbit_code': 18014398543037041, 'n': 14, 'trace_an': -8}
-
id: 147029014
{'hecke_orbit_code': 18014398543037041, 'n': 15, 'trace_an': 0}
-
id: 147029015
{'hecke_orbit_code': 18014398543037041, 'n': 16, 'trace_an': 13}
-
id: 147029016
{'hecke_orbit_code': 18014398543037041, 'n': 17, 'trace_an': -15}
-
id: 147029017
{'hecke_orbit_code': 18014398543037041, 'n': 18, 'trace_an': 5}
-
id: 147029018
{'hecke_orbit_code': 18014398543037041, 'n': 19, 'trace_an': -10}
-
id: 147029019
{'hecke_orbit_code': 18014398543037041, 'n': 20, 'trace_an': 0}
-
id: 147029020
{'hecke_orbit_code': 18014398543037041, 'n': 21, 'trace_an': -14}
-
id: 147029021
{'hecke_orbit_code': 18014398543037041, 'n': 22, 'trace_an': 5}
-
id: 147029022
{'hecke_orbit_code': 18014398543037041, 'n': 23, 'trace_an': -30}
-
id: 147029023
{'hecke_orbit_code': 18014398543037041, 'n': 24, 'trace_an': 5}
-
id: 147029024
{'hecke_orbit_code': 18014398543037041, 'n': 25, 'trace_an': 0}
-
id: 147029025
{'hecke_orbit_code': 18014398543037041, 'n': 26, 'trace_an': 11}
-
id: 147029026
{'hecke_orbit_code': 18014398543037041, 'n': 27, 'trace_an': -20}
-
id: 147029027
{'hecke_orbit_code': 18014398543037041, 'n': 28, 'trace_an': 5}
-
id: 147029028
{'hecke_orbit_code': 18014398543037041, 'n': 29, 'trace_an': 10}
-
id: 147029029
{'hecke_orbit_code': 18014398543037041, 'n': 30, 'trace_an': 0}
-
id: 147029030
{'hecke_orbit_code': 18014398543037041, 'n': 31, 'trace_an': -9}
-
id: 147029031
{'hecke_orbit_code': 18014398543037041, 'n': 32, 'trace_an': -30}
-
id: 147029032
{'hecke_orbit_code': 18014398543037041, 'n': 33, 'trace_an': -5}
-
id: 147029033
{'hecke_orbit_code': 18014398543037041, 'n': 34, 'trace_an': 7}
-
id: 147029034
{'hecke_orbit_code': 18014398543037041, 'n': 35, 'trace_an': 0}
-
id: 147029035
{'hecke_orbit_code': 18014398543037041, 'n': 36, 'trace_an': 3}
-
id: 147029036
{'hecke_orbit_code': 18014398543037041, 'n': 37, 'trace_an': 10}
-
id: 147029037
{'hecke_orbit_code': 18014398543037041, 'n': 38, 'trace_an': -20}
-
id: 147029038
{'hecke_orbit_code': 18014398543037041, 'n': 39, 'trace_an': 8}
-
id: 147029039
{'hecke_orbit_code': 18014398543037041, 'n': 40, 'trace_an': 0}
-
id: 147029040
{'hecke_orbit_code': 18014398543037041, 'n': 41, 'trace_an': -4}
-
id: 147029041
{'hecke_orbit_code': 18014398543037041, 'n': 42, 'trace_an': 35}
-
id: 147029042
{'hecke_orbit_code': 18014398543037041, 'n': 43, 'trace_an': 0}
-
id: 147029043
{'hecke_orbit_code': 18014398543037041, 'n': 44, 'trace_an': -18}
-
id: 147029044
{'hecke_orbit_code': 18014398543037041, 'n': 45, 'trace_an': 0}
-
id: 147029045
{'hecke_orbit_code': 18014398543037041, 'n': 46, 'trace_an': -9}
-
id: 147029046
{'hecke_orbit_code': 18014398543037041, 'n': 47, 'trace_an': -30}
-
id: 147029047
{'hecke_orbit_code': 18014398543037041, 'n': 48, 'trace_an': -5}
-
id: 147029048
{'hecke_orbit_code': 18014398543037041, 'n': 49, 'trace_an': -4}
-
id: 147029049
{'hecke_orbit_code': 18014398543037041, 'n': 50, 'trace_an': 0}
-
id: 147029050
{'hecke_orbit_code': 18014398543037041, 'n': 51, 'trace_an': -14}
-
id: 147029051
{'hecke_orbit_code': 18014398543037041, 'n': 52, 'trace_an': -5}
-
id: 147029052
{'hecke_orbit_code': 18014398543037041, 'n': 53, 'trace_an': -10}
-
id: 147029053
{'hecke_orbit_code': 18014398543037041, 'n': 54, 'trace_an': -20}
-
id: 147029054
{'hecke_orbit_code': 18014398543037041, 'n': 55, 'trace_an': 0}
-
id: 147029055
{'hecke_orbit_code': 18014398543037041, 'n': 56, 'trace_an': 0}
-
id: 147029056
{'hecke_orbit_code': 18014398543037041, 'n': 57, 'trace_an': 10}
-
id: 147029057
{'hecke_orbit_code': 18014398543037041, 'n': 58, 'trace_an': 30}
-
id: 147029058
{'hecke_orbit_code': 18014398543037041, 'n': 59, 'trace_an': -5}
-
id: 147029059
{'hecke_orbit_code': 18014398543037041, 'n': 60, 'trace_an': 0}
-
id: 147029060
{'hecke_orbit_code': 18014398543037041, 'n': 61, 'trace_an': 6}
-
id: 147029061
{'hecke_orbit_code': 18014398543037041, 'n': 62, 'trace_an': -10}
-
id: 147029062
{'hecke_orbit_code': 18014398543037041, 'n': 63, 'trace_an': 0}
-
id: 147029063
{'hecke_orbit_code': 18014398543037041, 'n': 64, 'trace_an': -9}
-
id: 147029064
{'hecke_orbit_code': 18014398543037041, 'n': 65, 'trace_an': 0}
-
id: 147029065
{'hecke_orbit_code': 18014398543037041, 'n': 66, 'trace_an': -18}
-
id: 147029066
{'hecke_orbit_code': 18014398543037041, 'n': 67, 'trace_an': -10}
-
id: 147029067
{'hecke_orbit_code': 18014398543037041, 'n': 68, 'trace_an': -40}
-
id: 147029068
{'hecke_orbit_code': 18014398543037041, 'n': 69, 'trace_an': 3}
-
id: 147029069
{'hecke_orbit_code': 18014398543037041, 'n': 70, 'trace_an': 0}
-
id: 147029070
{'hecke_orbit_code': 18014398543037041, 'n': 71, 'trace_an': -9}
-
id: 147029071
{'hecke_orbit_code': 18014398543037041, 'n': 72, 'trace_an': 15}
-
id: 147029072
{'hecke_orbit_code': 18014398543037041, 'n': 73, 'trace_an': 0}
-
id: 147029073
{'hecke_orbit_code': 18014398543037041, 'n': 74, 'trace_an': -18}
-
id: 147029074
{'hecke_orbit_code': 18014398543037041, 'n': 75, 'trace_an': 0}
-
id: 147029075
{'hecke_orbit_code': 18014398543037041, 'n': 76, 'trace_an': -10}
-
id: 147029076
{'hecke_orbit_code': 18014398543037041, 'n': 77, 'trace_an': -5}
-
id: 147029077
{'hecke_orbit_code': 18014398543037041, 'n': 78, 'trace_an': 30}
-
id: 147029078
{'hecke_orbit_code': 18014398543037041, 'n': 79, 'trace_an': -20}
-
id: 147029079
{'hecke_orbit_code': 18014398543037041, 'n': 80, 'trace_an': 0}
-
id: 147029080
{'hecke_orbit_code': 18014398543037041, 'n': 81, 'trace_an': 8}
-
id: 147029081
{'hecke_orbit_code': 18014398543037041, 'n': 82, 'trace_an': 45}
-
id: 147029082
{'hecke_orbit_code': 18014398543037041, 'n': 83, 'trace_an': -40}
-
id: 147029083
{'hecke_orbit_code': 18014398543037041, 'n': 84, 'trace_an': -28}
-
id: 147029084
{'hecke_orbit_code': 18014398543037041, 'n': 85, 'trace_an': 0}
-
id: 147029085
{'hecke_orbit_code': 18014398543037041, 'n': 86, 'trace_an': -24}
-
id: 147029086
{'hecke_orbit_code': 18014398543037041, 'n': 87, 'trace_an': -40}
-
id: 147029087
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