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{'Nk2': 7500, 'analytic_conductor': 14.971950378990073, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [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': [1875, 1, [626, 1252], [1, 1]], 'cm_discs': [], 'conrey_indexes': [1], 'dim': 6, 'field_disc': 44400625, 'field_disc_factorization': [[5, 4], [19, 1], [3739, 1]], 'field_poly': [-1, 3, 29, -1, -11, 0, 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, [-1, 3, 29, -1, -11, 0, 1]]], 'hecke_orbit': 11, 'hecke_orbit_code': 45035996307261267, 'hecke_ring_generator_nbound': 13, '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': False, 'label': '1875.2.a.k', 'level': 1875, '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': '75.2.g.c', 'nf_label': '6.6.44400625.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}+q^{3}+(1-\\beta _{3}+\\beta _{4})q^{4}+\\beta _{1}q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1875.2.a', 'trace_display': [0, 6, 0, 6], 'trace_hash': 1585335586687046377, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.050', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.435', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.819', 'prec': 17}, {'__RealLiteral__': 0, 'data': '80.878', 'prec': 20}, {'__RealLiteral__': 0, 'data': '39.447', 'prec': 20}, {'__RealLiteral__': 0, 'data': '1928.820', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.003', 'prec': 17}, 'traces': [6, 0, 6, 10, 0, 0, 6, 3, 6, 0, 3, 10, 6, -22, 0, 18, 13, 0, 11, 0, 6, 16, 13, 3, 0, -28, 6, 7, -3, 0, -11, 16, 3, 15, 0, 10, 21, -9, 6, 0, -1, -22, 2, 9, 0, 19, 14, 18, -14, 0, 13, 13, 23, 0, 0, -35, 11, 22, 9, 0, 11, -23, 6, -23, 0, 16, 8, 50, 13, 0, -8, 3, 13, -22, 0, -26, -13, -28, -5, 0, 6, -13, -20, 7, 0, -37, -3, 28, -4, 0, 34, 61, -11, 41, 0, 16, -7, -41, 3, 0, -17, 15, -13, -39, 0, 9, -26, 10, -4, 0, 21, -4, 10, -9, 0, 3, 6, -16, -2, 0, -9, -1, -1, -2, 0, -22, 38, 53, 2, 0, -59, 9, 20, -25, 0, 4, 50, 19, 24, 0, 14, -40, 24, 18, 0, -6, -14, 37, -62, 0, 32, -3, 13, 1, 0, 13, 50, 20, 23, 0, -6, 0, 24, -57, 0, 6, 16, -35, 10, 0, 11, -33, -5, 22, 0, -25, 9, -34, -35, 0, -6, -53, 11, 35, 0, -23, -21, -26, 6, 0, -17, -23, 10, -45, 0, 16, 47, 16, 33, 0, 8, -29, -25, 50, 0, 23, 13, -35, 1, 0, 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0, 211, 21, 341, -86, 0], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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12, 2], [13, -15, -15, 16, 11, -11], [14, 1, -5, -11, 17, 2], [-16, 2, -8, 8, -7, -10], [-31, -27, -12, -2, 6, 4], [28, -8, -12, 30, -12, 4], [-3, 19, 0, -17, 5, -6], [25, 2, 4, -19, 1, -7], [3, -6, 24, 15, -11, 3], [5, 2, -7, 4, 17, -6], [-3, 3, 12, 29, 6, -6], [38, -21, -8, 4, -2, 3], [31, -16, -7, 44, 9, 4], [21, 10, 0, 43, -11, -1], [-1, 7, 1, 16, -7, -9], [-12, -15, 10, -3, -13, -9], [15, 19, -1, 35, 11, 1], [-29, 18, 5, 0, 0, -7], [37, 10, 17, -6, -3, 0], [-4, -16, -2, -20, 0, 4], [27, -6, 15, -2, 2, 13], [-15, 12, 2, -22, -6, 7], [0, 19, -15, -32, 1, -2], [-10, 7, 13, -19, 11, -4], [12, -13, -21, 27, 0, 16], [-5, 19, 3, 8, 1, 11]], 'char_orbit_index': 1, 'field_poly': [-1, 3, 29, -1, -11, 0, 1], 'hecke_orbit_code': 45035996307261267, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 4, 4, 4, 2], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [3, 0, 0, -1, 1, 0], [0, 6, 1, -1, 0, 0], [16, 1, 1, -9, 6, 1], [2, 37, 11, -10, 1, 1]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [-1, 0, 5, -6, -1, 1], [-1, 24, 5, -10, -1, 1], [-13, 24, 9, -10, -1, 1], [3, 34, -7, -12, 1, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 6, 'label': '1875.2.a.k', 'level': 1875, 'maxp': 2999, 'weight': 2}
-
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{'AL_dims': [[[[3, -1], [5, -1]], 14, 3], [[[3, 1], [5, 1]], 18, 5], [[[3, 1], [5, -1]], 22, 3], [[[3, -1], [5, 1]], 26, 5]], 'Nk2': 7500, 'analytic_conductor': 14.971950378990073, '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': [1875, 1, [626, 1252], [1, 1]], 'conrey_indexes': [1], 'cusp_dim': 221, 'dim': 80, 'eis_dim': 59, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 33556307, 'hecke_orbit_dims': [2, 2, 2, 2, 4, 4, 4, 4, 6, 6, 6, 6, 8, 8, 8, 8], 'label': '1875.2.a', 'level': 1875, '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': 280, 'mf_new_dim': 80, 'num_forms': 16, 'plus_dim': 32, 'prim_orbit_index': 1, 'relative_dim': 80, 'sturm_bound': 500, 'trace_bound': 3, 'trace_display': [0, 0, 0, 0], 'traces': [80, 0, 0, 80, 0, 0, 0, 0, 80, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 832825
{'conductor': 25, 'degree': 4, 'multiplicity': 2, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1875.2.a.k', 'source_level': 1875, 'target_char_orbit': 7, 'target_dim': 12, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '75.2.g.c', 'target_level': 75, 'twist_class_label': '75.2.g.c', 'twist_class_level': 75, 'twisting_char_label': '25.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 832826
{'conductor': 75, 'degree': 4, 'multiplicity': 2, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1875.2.a.k', 'source_level': 1875, 'target_char_orbit': 8, 'target_dim': 12, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '225.2.h.d', 'target_level': 225, 'twist_class_label': '75.2.g.c', 'twist_class_level': 75, 'twisting_char_label': '75.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 832827
{'conductor': 25, 'degree': 4, 'multiplicity': 2, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1875.2.a.k', 'source_level': 1875, 'target_char_orbit': 7, 'target_dim': 12, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '375.2.g.c', 'target_level': 375, 'twist_class_label': '75.2.g.c', 'twist_class_level': 75, 'twisting_char_label': '25.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 832828
{'conductor': 25, 'degree': 8, 'multiplicity': 4, 'order': 20, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1875.2.a.k', 'source_level': 1875, 'target_char_orbit': 9, 'target_dim': 24, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '375.2.i.d', 'target_level': 375, 'twist_class_label': '75.2.g.c', 'twist_class_level': 75, 'twisting_char_label': '25.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 832829
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1875.2.a.k', 'source_level': 1875, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1875.2.a.j', 'target_level': 1875, 'twist_class_label': '75.2.g.c', 'twist_class_level': 75, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 832830
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1875.2.a.k', 'source_level': 1875, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1875.2.a.k', 'target_level': 1875, 'twist_class_label': '75.2.g.c', 'twist_class_level': 75, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 832831
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1875.2.a.k', 'source_level': 1875, 'target_char_orbit': 2, 'target_dim': 12, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1875.2.b.f', 'target_level': 1875, 'twist_class_label': '75.2.g.c', 'twist_class_level': 75, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 832832
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1875.2.a.k', 'source_level': 1875, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '5625.2.a.p', 'target_level': 5625, 'twist_class_label': '75.2.g.c', 'twist_class_level': 75, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 832833
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1875.2.a.k', 'source_level': 1875, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '5625.2.a.q', 'target_level': 5625, 'twist_class_label': '75.2.g.c', 'twist_class_level': 75, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2272150
{'charpoly_factorization': [[[-1, 3, 29, -1, -11, 0, 1], 1]], 'hecke_orbit_code': 45035996307261267, 'p': 2}
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id: 2272151
{'charpoly_factorization': [[[-1, 1], 6]], 'hecke_orbit_code': 45035996307261267, 'p': 3}
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id: 2272152
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 45035996307261267, 'p': 5}
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id: 2272153
{'charpoly_factorization': [[[20, -20, -25, 25, 4, -6, 1], 1]], 'hecke_orbit_code': 45035996307261267, 'p': 7}
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id: 2272154
{'charpoly_factorization': [[[244, -390, 111, 66, -24, -3, 1], 1]], 'hecke_orbit_code': 45035996307261267, 'p': 11}
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id: 2272155
{'charpoly_factorization': [[[101, -985, 101, 173, -26, -6, 1], 1]], 'hecke_orbit_code': 45035996307261267, 'p': 13}
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id: 2272156
{'charpoly_factorization': [[[4639, 622, -1810, 425, 15, -13, 1], 1]], 'hecke_orbit_code': 45035996307261267, 'p': 17}
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id: 2272157
{'charpoly_factorization': [[[-380, -750, -199, 169, 11, -11, 1], 1]], 'hecke_orbit_code': 45035996307261267, 'p': 19}
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id: 2272158
{'charpoly_factorization': [[[-2020, -2120, -115, 310, 6, -13, 1], 1]], 'hecke_orbit_code': 45035996307261267, 'p': 23}
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id: 2272159
{'charpoly_factorization': [[[2105, 1830, 226, -173, -41, 3, 1], 1]], 'hecke_orbit_code': 45035996307261267, 'p': 29}
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id: 2272160
{'charpoly_factorization': [[[-2900, 4050, -485, -680, -46, 11, 1], 1]], 'hecke_orbit_code': 45035996307261267, 'p': 31}
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id: 2272161
{'charpoly_factorization': [[[-6025, 7400, -2140, -115, 139, -21, 1], 1]], 'hecke_orbit_code': 45035996307261267, 'p': 37}
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id: 2272162
{'charpoly_factorization': [[[-82655, -13455, 8995, 110, -181, 1, 1], 1]], 'hecke_orbit_code': 45035996307261267, 'p': 41}
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id: 2272163
{'charpoly_factorization': [[[-6284, -1422, 1369, 174, -91, -2, 1], 1]], 'hecke_orbit_code': 45035996307261267, 'p': 43}
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id: 2272164
{'charpoly_factorization': [[[2284, 906, -2311, 687, -4, -14, 1], 1]], 'hecke_orbit_code': 45035996307261267, 'p': 47}
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id: 2272165
{'charpoly_factorization': [[[-34495, 38570, -14430, 1785, 61, -23, 1], 1]], 'hecke_orbit_code': 45035996307261267, 'p': 53}
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id: 2272166
{'charpoly_factorization': [[[3920, -5040, 1231, 391, -89, -9, 1], 1]], 'hecke_orbit_code': 45035996307261267, 'p': 59}
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id: 2272167
{'charpoly_factorization': [[[168269, -67021, 1389, 1848, -139, -11, 1], 1]], 'hecke_orbit_code': 45035996307261267, 'p': 61}
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id: 2272168
{'charpoly_factorization': [[[14684, -13038, 755, 1390, -155, -8, 1], 1]], 'hecke_orbit_code': 45035996307261267, 'p': 67}
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id: 2272169
{'charpoly_factorization': [[[-196, -3122, -5155, -1745, -150, 8, 1], 1]], 'hecke_orbit_code': 45035996307261267, 'p': 71}
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id: 2272170
{'charpoly_factorization': [[[22205, -14825, -270, 1175, -74, -13, 1], 1]], 'hecke_orbit_code': 45035996307261267, 'p': 73}
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id: 2272171
{'charpoly_factorization': [[[-8000, 3800, 1955, -530, -160, 5, 1], 1]], 'hecke_orbit_code': 45035996307261267, 'p': 79}
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id: 2272172
{'charpoly_factorization': [[[41036, 7744, -5031, -1252, 26, 20, 1], 1]], 'hecke_orbit_code': 45035996307261267, 'p': 83}
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id: 2272173
{'charpoly_factorization': [[[-377055, -197505, 55441, -131, -464, 4, 1], 1]], 'hecke_orbit_code': 45035996307261267, 'p': 89}
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id: 2272174
{'charpoly_factorization': [[[2399, 78987, 11495, -1490, -215, 7, 1], 1]], 'hecke_orbit_code': 45035996307261267, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 11, 'label': '1875.2.a.k', 'level': 1875, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 210089000
{'hecke_orbit_code': 45035996307261267, 'n': 1, 'trace_an': 6}
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id: 210089001
{'hecke_orbit_code': 45035996307261267, 'n': 2, 'trace_an': 0}
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id: 210089002
{'hecke_orbit_code': 45035996307261267, 'n': 3, 'trace_an': 6}
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id: 210089999
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