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mf_newforms • Show schema
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{'Nk2': 2700, 'analytic_conductor': 5.389902136436426, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [675, 3, [326, 352], [1, 3]], 'cm_discs': [], 'conrey_index': 226, 'conrey_indexes': [226, 451], 'dim': 8, 'field_disc': 1223810289, 'field_disc_factorization': [[3, 4], [13, 4], [23, 2]], 'field_poly': [9, 15, 37, -8, 23, -2, 8, -2, 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': [[2, [9, 15, 37, -8, 23, -2, 8, -2, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014673420944035, 'hecke_ring_generator_nbound': 4, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '675.2.e.e', 'level': 675, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'minimal_twist': '225.2.e.c', 'nf_label': '8.0.1223810289.2', 'prim_orbit_index': 3, 'qexp_display': 'q+\\beta _{1}q^{2}+(\\beta _{1}-\\beta _{2}-\\beta _{3}+\\beta _{6})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '675.2.e', 'trace_display': [2, 0, 0, 1], 'trace_hash': 65611337488241637, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.668', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '221.934', 'prec': 24}, {'__RealLiteral__': 0, 'data': 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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], [0, 1, -1, -1, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0], [-1, 0, -1, -1, 0, 0, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, -1, -1, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 1, -2, 0, 0, 2, 0], [2, 1, -1, -1, 1, -2, 1, -1], [0, 0, 0, 0, 0, 0, 0, 0], [0, -3, 0, 0, -2, 1, 0, 0], [-2, 0, 0, -2, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, -1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 2, -2, 1, 1, 0, -1, -1], [5, 1, -1, -1, 1, -5, 1, -1], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [4, 0, -3, 1, 0, 0, 0, -2], [0, 0, 0, 0, 0, 0, 0, 0], [1, 0, -2, -2, 0, 0, 0, 0], [0, -2, 0, 0, -1, 2, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [1, -1, 1, -2, -2, -1, 2, 2], [0, -2, 2, 3, 0, 0, -3, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, -5, 0, 0, -1, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-3, 0, 4, 1, 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6, -6, 0], [0, 10, 0, 0, 12, 15, -6, 0], [7, 7, -7, -16, -4, -7, 16, 4], [-21, 0, -2, 0, 0, 0, 0, -12], [-18, -9, 9, -3, -7, 18, 3, 7], [18, 0, 2, 9, 0, 0, 0, 0], [11, 0, 18, -9, 0, 0, 0, 0], [18, 18, -18, 3, 6, -18, -3, -6], [0, 13, 0, 0, 5, 10, -17, 0], [0, -1, 0, 0, -5, -11, 13, 0], [-10, 0, -2, 7, 0, 0, 0, 2], [0, 10, 0, 0, 5, -13, -4, 0], [-3, 0, -15, 0, 0, 0, 0, 5], [29, 5, -5, -10, -5, -29, 10, 5], [0, -8, 0, 0, 7, -5, -17, 0], [-1, 0, 4, 14, 0, 0, 0, -13], [-23, -9, 9, 0, -3, 23, 0, 3], [23, 0, 2, 8, 0, 0, 0, -7], [-22, -15, 15, 5, -11, 22, -5, 11], [0, 3, 0, 0, -3, 24, 3, 0], [-3, 0, 1, -2, 0, 0, 0, -8], [0, -1, 0, 0, 3, -40, -1, 0]], 'char_orbit_index': 5, 'field_poly': [9, 15, 37, -8, 23, -2, 8, -2, 1], 'hecke_orbit_code': 18014673420944035, 'hecke_ring_character_values': [[326, [-1, 0, 0, 0, 0, 1, 0, 0]], [352, [1, 0, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 6165, 685, 6165, 6165, 2055, 6165], '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], [-2, 1, -1, -1, 0, 2, 1, 0], [-1, 0, -5, -1, 0, 0, 0, -1], [0, -9, 0, 0, -2, -7, -6, 0], [8, -30, 30, 11, -8, -8, -11, 8], [33, 0, 68, 38, 0, 0, 0, 19], [0, 196, 0, 0, 57, 60, 87, 0]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [-2934, -741, -1691, -3496, -722, -361, -32, -76], [-968, -117, -267, 133, -114, -57, 31, -12], [2988, -29793, 9047, -10043, 4694, -3818, 1079, -263], [2016, -10371, 6104, -6776, 1013, -2576, 728, -326], [-1116, 4261, -3379, 3751, -1258, 1426, -403, 156], [17217, 4758, 10858, 10118, 4636, 2318, -119, 488]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 8, 'label': '675.2.e.e', 'level': 675, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2700, 'analytic_conductor': 5.389902136436426, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [675, 3, [326, 352], [1, 3]], 'conrey_index': 226, 'cusp_dim': 144, 'dim': 32, 'eis_dim': 72, 'eis_new_dim': 12, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 274911462051, 'hecke_orbit_dims': [2, 6, 8, 8, 8], 'label': '675.2.e', 'level': 675, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 216, 'mf_new_dim': 44, 'num_forms': 5, 'prim_orbit_index': 3, 'relative_dim': 16, 'sturm_bound': 180, 'trace_bound': 2, 'trace_display': [-2, 0, 0, 2], 'traces': [32, -2, 0, -12, 0, 0, 2, 0, 0, 0, 6, 0, 2, -6, 0, -8, 4, 0, 8, 0, 0, -6, -6, 0, 0, 24, 0, -16, 6, 0, 4, -22, 0, -14, 0, 0, -4, 10, 0, 0, 6, 0, 2, -72, 0, -16, -20, 0, 10, 0, 0, -10, -8, 0, 0, -48, 0, -18, 42, 0, 10, 84, 0, 28, 0, 0, 8, 26, 0, 0, -24, 0, 8, 48, 0, -30, -6, 0, 2, 0, 0, 48, 6, 0, 0, -12, 0, -18, 60, 0, -60, -36, 0, -2, 0, 0, -16, -76, 0, 0, 12, 0, 14, 48, 0, -34, 36, 0, -40, 0, 0, -10, -8, 0, 0, 60, 0, 72, 42, 0, 2, -32, 0, -6, 0, 0, -16, 24, 0, 0, -30, 0, 34, -156, 0, 112, 0, 0, -4, 0, 0, 30, 40, 0, 0, 18, 0, 26, -18, 0, 10, 12, 0, 24, 0, 0, -4, 48, 0, 0, -96, 0, -76, -84, 0, 32, -24, 0, 28, 0, 0, -100, -36, 0, 0, -72, 0, -18, -72, 0, -56, -6, 0, 14, 0, 0, 12, -28, 0, 0, 36, 0, -22, 12, 0, 78, -72, 0, -4, 0, 0, 12, -6, 0, 0, 204, 0, -4, 30, 0, 16, 8, 0, 34, 0, 0, 52, 20, 0, 0, 66, 0, -28, 108, 0, -160, 2, 0, 2, 0, 0, 12, 108, 0, 0, 54, 0, 6, -90, 0, -20, 20, 0, -96, 0, 0, 40, -42, 0, 0, 48, 0, 84, 36, 0, -12, 60, 0, 30, 0, 0, 24, -34, 0, 0, 48, 0, 74, 24, 0, 64, 14, 0, 34, 0, 0, 14, -16, 0, 0, -66, 0, 38, 48, 0, -12, -24, 0, -36, 0, 0, -4, -42, 0, 0, -300, 0, -144, -96, 0, 54, 34, 0, -62, 0, 0, -52, 18, 0, 0, 144, 0, -34, 420, 0, 60, 74, 0, -6, 0, 0, -60, -32, 0, 0, -174, 0, -78, -72, 0, 28, -48, 0, 136, 0, 0, -28, 6, 0, 0, -192, 0, -32, 30, 0, -46, -2, 0, -10, 0, 0, 36, -60, 0, 0, -174, 0, -18, -144, 0, -168, 38, 0, 36, 0, 0, -10, -12, 0, 0, 60, 0, -4, -12, 0, -74, -76, 0, -76, 0, 0, 6, -54, 0, 0, -36, 0, 200, -174, 0, -40, 42, 0, -62, 0, 0, -16, 58, 0, 0, -30, 0, 16, -132, 0, 228, 8, 0, -34, 0, 0, 14, 120, 0, 0, 126, 0, 36, 108, 0, 10, -124, 0, -88, 0, 0, -44, 12, 0, 0, 300, 0, -76, 90, 0, 60, 54, 0, -4, 0, 0, -24, 0, 0, 0, 150, 0, -64, 264, 0, 156, 20, 0, -56, 0, 0, -22, -60, 0, 0, 108, 0, -82, -306, 0, 2, -4, 0, 60, 0, 0, 12, 16, 0, 0, 348, 0, -72, 36, 0, 0, 4, 0, 114, 0, 0, 116, -30, 0, 0, 24, 0, -30, -300, 0, -88, 54, 0, -4, 0, 0, 42, 32, 0, 0, -96, 0, 62, 36, 0, -42, -140, 0, 172, 0, 0, 6, 54, 0, 0, -216, 0, 80, -18, 0, -70, 0, 0, 54, 0, 0, 52, 2, 0, 0, 114, 0, 132, 204, 0, 88, -2, 0, -138, 0, 0, 26, 24, 0, 0, -30, 0, 64, 108, 0, 126, -72, 0, 96, 0, 0, 0, -12, 0, 0, -216, 0, -156, 6, 0, 46, 8, 0, -60, 0, 0, 8, -10, 0, 0, -192, 0, 12, -60, 0, 68, -42, 0, 46, 0, 0, -22, 68, 0, 0, 90, 0, -42, -90, 0, 4, 36, 0, 0, 0, 0, -88, 14, 0, 0, -204, 0, 92, -306, 0, 6, 60, 0, -118, 0, 0, -60, -30, 0, 0, -228, 0, -88, 84, 0, -80, 36, 0, -14, 0, 0, -12, 20, 0, 0, 144, 0, 32, 126, 0, -224, 64, 0, 24, 0, 0, 62, -58, 0, 0, 276, 0, 204, 180, 0, -140, -60, 0, -70, 0, 0, -132, -42, 0, 0, -18, 0, 98, 108, 0, -216, 54, 0, 78, 0, 0, -84, -132, 0, 0, 36, 0, 74, -126, 0, 28, 168, 0, -92, 0, 0, 54, -26, 0, 0, 60, 0, -56, 54, 0, 38, -36, 0, -82, 0, 0, -72, 42, 0, 0, 264, 0, -126, -300, 0, -84, -42, 0, 78, 0, 0, 8, -60, 0, 0, -258, 0, -100, 144, 0, 12, -108, 0, -28, 0, 0, -24, -14, 0, 0, -312, 0, -96, -102, 0, -128, 56, 0, 138, 0, 0, 20, -56, 0, 0, 132, 0, 16, 744, 0, -136, -32, 0, 128, 0, 0, 110, 144, 0, 0, -282, 0, -12, 72, 0, -126, -36, 0, -184, 0, 0, 110, 96, 0, 0, -276, 0, 76, 216, 0, -42, 14, 0, -44, 0, 0, 240, 16, 0, 0, -186, 0, 132, -240, 0, 268, -60, 0, -108, 0, 0, 52, -64, 0, 0, 120, 0, 56, -96, 0, 168, 280, 0, 236, 0, 0, -22, -4, 0, 0, -132, 0, -36, -114, 0, 110, 16, 0, 276, 0, 0, 44, 44, 0, 0, -114, 0, -58, -408, 0, -212, 10, 0, -64, 0, 0, -132, 56, 0, 0, 234, 0, -110, 192, 0, 102, 84, 0, 140, 0, 0, -70, -56, 0, 0, 624, 0, -40, 168, 0, 110, -126, 0, -18, 0, 0, 44, 10, 0, 0, 144, 0, -24, 180, 0, -16, -82, 0, 62, 0, 0, -52, 52, 0, 0, 126, 0, -18, -330, 0, 24, -24, 0, -16, 0, 0, -66, 80, 0, 0, 660, 0, 60, -54, 0, -56, -126, 0, -104, 0, 0, -112, 78, 0, 0, 234, 0, -24, -624, 0, 156, -84, 0, -126, 0, 0, 42, -140, 0, 0, -336, 0, 84, 186, 0, 96, -16, 0, -372, 0, 0, 38, -36, 0, 0, 60, 0, -176, -72, 0, 344, -14, 0, -54, 0, 0, -168, 18, 0, 0, -174, 0, -44, 204, 0, 40, -6, 0, 126, 0, 0, 44, -56, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 444590
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 8, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '675.2.e.e', 'source_level': 675, 'target_char_orbit': 5, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '225.2.e.c', 'target_level': 225, 'twist_class_label': '225.2.e.c', 'twist_class_level': 225, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 444591
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 8, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '675.2.e.e', 'source_level': 675, 'target_char_orbit': 5, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '225.2.e.c', 'target_level': 225, 'twist_class_label': '225.2.e.c', 'twist_class_level': 225, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 444592
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 8, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '675.2.e.e', 'source_level': 675, 'target_char_orbit': 5, 'target_dim': 8, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '225.2.e.e', 'target_level': 225, 'twist_class_label': '225.2.e.c', 'twist_class_level': 225, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 444593
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 8, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '675.2.e.e', 'source_level': 675, 'target_char_orbit': 5, 'target_dim': 8, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '225.2.e.e', 'target_level': 225, 'twist_class_label': '225.2.e.c', 'twist_class_level': 225, 'twisting_char_label': '45.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 444594
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 8, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '675.2.e.e', 'source_level': 675, 'target_char_orbit': 11, 'target_dim': 16, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '225.2.k.c', 'target_level': 225, 'twist_class_label': '225.2.e.c', 'twist_class_level': 225, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 444595
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 8, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '675.2.e.e', 'source_level': 675, 'target_char_orbit': 11, 'target_dim': 16, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '225.2.k.c', 'target_level': 225, 'twist_class_label': '225.2.e.c', 'twist_class_level': 225, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 444596
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 8, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '675.2.e.e', 'source_level': 675, 'target_char_orbit': 5, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '675.2.e.c', 'target_level': 675, 'twist_class_label': '225.2.e.c', 'twist_class_level': 225, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 444597
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 8, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '675.2.e.e', 'source_level': 675, 'target_char_orbit': 5, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '675.2.e.c', 'target_level': 675, 'twist_class_label': '225.2.e.c', 'twist_class_level': 225, 'twisting_char_label': '45.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 444598
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 5, 'source_dim': 8, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '675.2.e.e', 'source_level': 675, 'target_char_orbit': 5, 'target_dim': 8, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '675.2.e.e', 'target_level': 675, 'twist_class_label': '225.2.e.c', 'twist_class_level': 225, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 444599
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 8, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '675.2.e.e', 'source_level': 675, 'target_char_orbit': 5, 'target_dim': 8, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '675.2.e.e', 'target_level': 675, 'twist_class_label': '225.2.e.c', 'twist_class_level': 225, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 444600
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 8, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '675.2.e.e', 'source_level': 675, 'target_char_orbit': 11, 'target_dim': 16, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '675.2.k.c', 'target_level': 675, 'twist_class_label': '225.2.e.c', 'twist_class_level': 225, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 444601
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 8, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '675.2.e.e', 'source_level': 675, 'target_char_orbit': 11, 'target_dim': 16, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '675.2.k.c', 'target_level': 675, 'twist_class_label': '225.2.e.c', 'twist_class_level': 225, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 444602
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 8, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '675.2.e.e', 'source_level': 675, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '2025.2.a.p', 'target_level': 2025, 'twist_class_label': '225.2.e.c', 'twist_class_level': 225, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 444603
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 8, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '675.2.e.e', 'source_level': 675, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '2025.2.a.q', 'target_level': 2025, 'twist_class_label': '225.2.e.c', 'twist_class_level': 225, 'twisting_char_label': '45.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 444604
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 8, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '675.2.e.e', 'source_level': 675, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '2025.2.a.y', 'target_level': 2025, 'twist_class_label': '225.2.e.c', 'twist_class_level': 225, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 444605
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 8, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '675.2.e.e', 'source_level': 675, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 26, 'target_is_minimal': False, 'target_label': '2025.2.a.z', 'target_level': 2025, 'twist_class_label': '225.2.e.c', 'twist_class_level': 225, 'twisting_char_label': '45.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 444606
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 8, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '675.2.e.e', 'source_level': 675, 'target_char_orbit': 2, 'target_dim': 8, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '2025.2.b.n', 'target_level': 2025, 'twist_class_label': '225.2.e.c', 'twist_class_level': 225, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 444607
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 8, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '675.2.e.e', 'source_level': 675, 'target_char_orbit': 2, 'target_dim': 8, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '2025.2.b.o', 'target_level': 2025, 'twist_class_label': '225.2.e.c', 'twist_class_level': 225, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1194025
{'charpoly_factorization': [[[9, 15, 37, -8, 23, -2, 8, -2, 1], 1]], 'hecke_orbit_code': 18014673420944035, 'p': 2}
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id: 1194026
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 18014673420944035, 'p': 3}
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id: 1194027
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 18014673420944035, 'p': 5}
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id: 1194028
{'charpoly_factorization': [[[81, -216, 468, -306, 177, -36, 13, -1, 1], 1]], 'hecke_orbit_code': 18014673420944035, 'p': 7}
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id: 1194029
{'charpoly_factorization': [[[81, -369, 1456, -1007, 593, -107, 26, 1, 1], 1]], 'hecke_orbit_code': 18014673420944035, 'p': 11}
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id: 1194030
{'charpoly_factorization': [[[11449, -535, 3235, -278, 803, -50, 34, 2, 1], 1]], 'hecke_orbit_code': 18014673420944035, 'p': 13}
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id: 1194031
{'charpoly_factorization': [[[-303, -110, 20, 11, 1], 2]], 'hecke_orbit_code': 18014673420944035, 'p': 17}
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id: 1194032
{'charpoly_factorization': [[[-25, 80, -27, -2, 1], 2]], 'hecke_orbit_code': 18014673420944035, 'p': 19}
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id: 1194033
{'charpoly_factorization': [[[59049, -2187, 13932, -6777, 3627, -873, 168, -15, 1], 1]], 'hecke_orbit_code': 18014673420944035, 'p': 23}
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id: 1194034
{'charpoly_factorization': [[[16641, -18318, 15004, -5938, 1871, -244, 41, -1, 1], 1]], 'hecke_orbit_code': 18014673420944035, 'p': 29}
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id: 1194035
{'charpoly_factorization': [[[59049, 6561, 10935, 810, 1629, 114, 58, -4, 1], 1]], 'hecke_orbit_code': 18014673420944035, 'p': 31}
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id: 1194036
{'charpoly_factorization': [[[-647, -503, -99, 1, 1], 2]], 'hecke_orbit_code': 18014673420944035, 'p': 37}
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id: 1194037
{'charpoly_factorization': [[[42849, 33327, 20746, 6095, 1637, 197, 50, 5, 1], 1]], 'hecke_orbit_code': 18014673420944035, 'p': 41}
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id: 1194038
{'charpoly_factorization': [[[452929, -394378, 311092, -41588, 8837, -692, 148, -10, 1], 1]], 'hecke_orbit_code': 18014673420944035, 'p': 43}
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id: 1194039
{'charpoly_factorization': [[[145161, 26670, 45667, -22730, 10430, -2000, 293, -20, 1], 1]], 'hecke_orbit_code': 18014673420944035, 'p': 47}
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id: 1194040
{'charpoly_factorization': [[[-471, -179, 86, 20, 1], 2]], 'hecke_orbit_code': 18014673420944035, 'p': 53}
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id: 1194041
{'charpoly_factorization': [[[5349969, -2114082, 840022, -76814, 17855, -1862, 287, -17, 1], 1]], 'hecke_orbit_code': 18014673420944035, 'p': 59}
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id: 1194042
{'charpoly_factorization': [[[1, -91, 8278, -299, 1193, -143, 172, -13, 1], 1]], 'hecke_orbit_code': 18014673420944035, 'p': 61}
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id: 1194043
{'charpoly_factorization': [[[59049, -72900, 81252, -19062, 6153, 1212, 253, 17, 1], 1]], 'hecke_orbit_code': 18014673420944035, 'p': 67}
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id: 1194044
{'charpoly_factorization': [[[381, 263, -40, -8, 1], 2]], 'hecke_orbit_code': 18014673420944035, 'p': 71}
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id: 1194045
{'charpoly_factorization': [[[113, -241, -96, -2, 1], 2]], 'hecke_orbit_code': 18014673420944035, 'p': 73}
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id: 1194046
{'charpoly_factorization': [[[42849, 14283, 11592, 621, 1365, 93, 82, -7, 1], 1]], 'hecke_orbit_code': 18014673420944035, 'p': 79}
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id: 1194047
{'charpoly_factorization': [[[531441, -688905, 683073, -228420, 53865, -6750, 612, -30, 1], 1]], 'hecke_orbit_code': 18014673420944035, 'p': 83}
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id: 1194048
{'charpoly_factorization': [[[2025, 405, -99, -9, 1], 2]], 'hecke_orbit_code': 18014673420944035, 'p': 89}
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id: 1194049
{'charpoly_factorization': [[[908209, -153433, 103114, -23173, 10573, -1861, 280, -19, 1], 1]], 'hecke_orbit_code': 18014673420944035, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 5, 'label': '675.2.e.e', 'level': 675, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 158332000
{'hecke_orbit_code': 18014673420944035, 'n': 1, 'trace_an': 8}
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id: 158332001
{'hecke_orbit_code': 18014673420944035, 'n': 2, 'trace_an': 2}
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id: 158332002
{'hecke_orbit_code': 18014673420944035, 'n': 3, 'trace_an': 0}
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id: 158332003
{'hecke_orbit_code': 18014673420944035, 'n': 4, 'trace_an': -4}
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id: 158332004
{'hecke_orbit_code': 18014673420944035, 'n': 5, 'trace_an': 0}
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id: 158332005
{'hecke_orbit_code': 18014673420944035, 'n': 6, 'trace_an': 0}
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id: 158332006
{'hecke_orbit_code': 18014673420944035, 'n': 7, 'trace_an': 1}
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id: 158332007
{'hecke_orbit_code': 18014673420944035, 'n': 8, 'trace_an': -18}
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id: 158332008
{'hecke_orbit_code': 18014673420944035, 'n': 9, 'trace_an': 0}
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id: 158332009
{'hecke_orbit_code': 18014673420944035, 'n': 10, 'trace_an': 0}
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id: 158332010
{'hecke_orbit_code': 18014673420944035, 'n': 11, 'trace_an': -1}
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id: 158332011
{'hecke_orbit_code': 18014673420944035, 'n': 12, 'trace_an': 0}
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id: 158332012
{'hecke_orbit_code': 18014673420944035, 'n': 13, 'trace_an': -2}
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id: 158332013
{'hecke_orbit_code': 18014673420944035, 'n': 14, 'trace_an': 3}
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id: 158332014
{'hecke_orbit_code': 18014673420944035, 'n': 15, 'trace_an': 0}
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id: 158332015
{'hecke_orbit_code': 18014673420944035, 'n': 16, 'trace_an': -4}
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id: 158332016
{'hecke_orbit_code': 18014673420944035, 'n': 17, 'trace_an': -22}
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id: 158332017
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