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{'Nk2': 12768, 'analytic_conductor': 25.4882483251927, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [7, 1], [19, 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': [3192, 1, [799, 1597, 2129, 913, 1009], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 3, 'field_disc': 568, 'field_disc_factorization': [[2, 3], [71, 1]], 'field_poly': [-2, -6, -1, 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': [[5, [-8, -10, 0, 1]], [11, [16, -24, 2, 1]], [17, [-8, -10, 0, 1]]], 'hecke_orbit': 21, 'hecke_orbit_code': 90071992580967544, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], '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': '3192.2.a.u', 'level': 3192, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 19], 'level_radical': 798, 'minimal_twist': '3192.2.a.u', 'nf_label': '3.3.568.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}-\\beta _{1}q^{5}-q^{7}+q^{9}+(-1-\\beta _{1}+\\cdots)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3192.2.a', 'trace_display': [0, -3, 0, -3], 'trace_hash': 793322789505802632, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.066', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.834', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.177', 'prec': 17}, {'__RealLiteral__': 0, 'data': '22.164', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.194', 'prec': 17}, {'__RealLiteral__': 0, 'data': '254.238', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.015', 'prec': 17}, 'traces': [3, 0, -3, 0, 0, 0, -3, 0, 3, 0, -2, 0, 12, 0, 0, 0, 0, 0, -3, 0, 3, 0, -2, 0, 5, 0, -3, 0, 2, 0, -8, 0, 2, 0, 0, 0, 6, 0, -12, 0, 2, 0, -4, 0, 0, 0, -4, 0, 3, 0, 0, 0, -14, 0, 16, 0, 3, 0, 4, 0, 2, 0, -3, 0, 0, 0, 2, 0, 2, 0, 8, 0, 14, 0, -5, 0, 2, 0, 2, 0, 3, 0, 4, 0, 20, 0, -2, 0, 10, 0, -12, 0, 8, 0, 0, 0, 28, 0, -2, 0, 0, 0, -4, 0, 0, 0, 0, 0, 6, 0, -6, 0, 10, 0, 16, 0, 12, 0, 0, 0, 19, 0, -2, 0, 24, 0, 6, 0, 4, 0, 40, 0, 3, 0, 0, 0, -14, 0, 4, 0, 4, 0, -8, 0, 4, 0, -3, 0, 18, 0, 10, 0, 0, 0, 16, 0, 14, 0, 14, 0, 2, 0, 4, 0, -16, 0, 8, 0, 9, 0, -3, 0, 6, 0, -5, 0, -4, 0, 0, 0, 52, 0, -2, 0, 0, 0, 16, 0, 3, 0, -10, 0, 6, 0, 0, 0, 42, 0, -16, 0, -2, 0, -2, 0, -8, 0, -2, 0, 2, 0, 10, 0, -8, 0, -16, 0, 8, 0, -14, 0, 0, 0, 4, 0, 5, 0, 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mf_hecke_nf • Show schema
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0], [-53, -17, 3], [33, 19, 3], [-5, -7, -17], [1, 4, 5], [28, -8, 4], [-44, -2, -10], [0, 8, 12], [-63, -11, -3], [-2, -8, 12], [-20, -13, 0], [-29, -13, 1], [-32, 2, -18], [-4, -22, 6], [-25, -11, -3], [2, 8, 8], [19, 5, -7], [-4, -10, -12], [15, 9, 13], [34, -18, -4], [25, -17, -1], [-44, -6, -4], [26, -10, 12], [-10, 6, 16], [-43, -3, 5], [-80, 8, 4], [-25, 16, 1], [-30, -2, 4], [-14, -10, -14], [-26, 6, -12], [-23, 13, -11], [26, 10, 16], [-28, -20, 8], [28, -2, 14], [-31, 3, 9], [-22, -4, 0], [18, 12, 8], [-2, 4, 2], [0, -2, -18], [43, -16, -13], [-18, 6, 2], [15, 10, 1], [-13, 7, -3], [32, -8, -6], [37, -12, -9], [-39, -9, -1], [6, 0, 0], [-36, -7, 0], [-11, 4, -5], [19, -11, -11], [32, 9, -8], [0, 4, 8], [19, 8, 11], [-29, -1, -3], [-25, -19, 11], [-30, -30, 2], [-40, 8, 8], [-22, 6, 0], [-31, -20, -5], [-52, 16, 2], [40, 6, -4], [-37, 0, -3]], 'char_orbit_index': 1, 'field_poly': [-2, -6, -1, 1], 'hecke_orbit_code': 90071992580967544, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1], 'hecke_ring_inverse_denominators': [1, 2, 2], 'hecke_ring_inverse_numerators': [[1, 0, 0], [1, 1, 1], [9, 3, 1]], 'hecke_ring_numerators': [[1, 0, 0], [-4, -1, 1], [3, 3, -1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 3, 'label': '3192.2.a.u', 'level': 3192, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [7, -1], [19, -1]], 3, 2], [[[2, 1], [3, 1], [7, -1], [19, -1]], 2, 2], [[[2, 1], [3, -1], [7, -1], [19, 1]], 2, 2], [[[2, 1], [3, 1], [7, -1], [19, 1]], 4, 1], [[[2, -1], [3, 1], [7, -1], [19, 1]], 3, 2], [[[2, 1], [3, -1], [7, 1], [19, 1]], 3, 2], [[[2, -1], [3, 1], [7, -1], [19, -1]], 5, 1], [[[2, 1], [3, 1], [7, 1], [19, 1]], 4, 1], [[[2, 1], [3, -1], [7, -1], [19, -1]], 5, 1], [[[2, -1], [3, -1], [7, 1], [19, -1]], 4, 1], [[[2, 1], [3, -1], [7, 1], [19, -1]], 3, 2], [[[2, -1], [3, -1], [7, 1], [19, 1]], 4, 2], [[[2, -1], [3, 1], [7, 1], [19, -1]], 3, 3], [[[2, 1], [3, 1], [7, 1], [19, -1]], 3, 3], [[[2, -1], [3, 1], [7, 1], [19, 1]], 4, 2], [[[2, -1], [3, -1], [7, -1], [19, 1]], 4, 1]], 'ALdims': [4, 3, 4, 2, 3, 3, 2, 5, 4, 3, 3, 5, 4, 4, 4, 3], 'Nk2': 12768, 'analytic_conductor': 25.4882483251927, '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': [3192, 1, [799, 1597, 2129, 913, 1009], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 625, 'dim': 56, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 17], 'hecke_orbit_code': 33557624, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 4, 4, 4, 5, 5], 'label': '3192.2.a', 'level': 3192, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 19], 'level_radical': 798, 'mf_dim': 656, 'mf_new_dim': 56, 'num_forms': 28, 'plus_dim': 24, 'prim_orbit_index': 1, 'relative_dim': 56, 'sturm_bound': 1280, 'trace_bound': 11, 'trace_display': [0, 0, -8, 0], 'traces': [56, 0, 0, 0, -8, 0, 0, 0, 56, 0, 0, 0, -8, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 8, 0, 16, 0, 0, 0, 0, 0, -8, 0, 16, 0, 8, 0, -16, 0, -8, 0, -48, 0, 56, 0, 8, 0, -8, 0, 16, 0, 4, 0, -32, 0, 16, 0, 0, 0, -16, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 56, 0, 16, 0, 0, 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mf_twists_nf • Show schema
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id: 1062236
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 21, 'source_is_minimal': True, 'source_label': '3192.2.a.u', 'source_level': 3192, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 21, 'target_is_minimal': True, 'target_label': '3192.2.a.u', 'target_level': 3192, 'twist_class_label': '3192.2.a.u', 'twist_class_level': 3192, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1062237
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 21, 'source_is_minimal': True, 'source_label': '3192.2.a.u', 'source_level': 3192, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 49, 'target_is_minimal': False, 'target_label': '6384.2.a.bw', 'target_level': 6384, 'twist_class_label': '3192.2.a.u', 'twist_class_level': 3192, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1062238
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 21, 'source_is_minimal': True, 'source_label': '3192.2.a.u', 'source_level': 3192, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 54, 'target_is_minimal': False, 'target_label': '9576.2.a.cb', 'target_level': 9576, 'twist_class_label': '3192.2.a.u', 'twist_class_level': 3192, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3052975
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 90071992580967544, 'p': 2}
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id: 3052976
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 90071992580967544, 'p': 3}
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id: 3052977
{'charpoly_factorization': [[[-8, -10, 0, 1], 1]], 'hecke_orbit_code': 90071992580967544, 'p': 5}
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id: 3052978
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 90071992580967544, 'p': 7}
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id: 3052979
{'charpoly_factorization': [[[16, -24, 2, 1], 1]], 'hecke_orbit_code': 90071992580967544, 'p': 11}
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id: 3052980
{'charpoly_factorization': [[[-4, 1], 3]], 'hecke_orbit_code': 90071992580967544, 'p': 13}
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id: 3052981
{'charpoly_factorization': [[[-8, -10, 0, 1], 1]], 'hecke_orbit_code': 90071992580967544, 'p': 17}
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id: 3052982
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 90071992580967544, 'p': 19}
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id: 3052983
{'charpoly_factorization': [[[16, -24, 2, 1], 1]], 'hecke_orbit_code': 90071992580967544, 'p': 23}
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id: 3052984
{'charpoly_factorization': [[[44, -18, -2, 1], 1]], 'hecke_orbit_code': 90071992580967544, 'p': 29}
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id: 3052985
{'charpoly_factorization': [[[-16, -4, 8, 1], 1]], 'hecke_orbit_code': 90071992580967544, 'p': 31}
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id: 3052986
{'charpoly_factorization': [[[-2, 1], 3]], 'hecke_orbit_code': 90071992580967544, 'p': 37}
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id: 3052987
{'charpoly_factorization': [[[-200, -76, -2, 1], 1]], 'hecke_orbit_code': 90071992580967544, 'p': 41}
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id: 3052988
{'charpoly_factorization': [[[-64, -20, 4, 1], 1]], 'hecke_orbit_code': 90071992580967544, 'p': 43}
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id: 3052989
{'charpoly_factorization': [[[8, -14, 4, 1], 1]], 'hecke_orbit_code': 90071992580967544, 'p': 47}
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id: 3052990
{'charpoly_factorization': [[[-4, 14, 14, 1], 1]], 'hecke_orbit_code': 90071992580967544, 'p': 53}
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id: 3052991
{'charpoly_factorization': [[[256, -128, -4, 1], 1]], 'hecke_orbit_code': 90071992580967544, 'p': 59}
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id: 3052992
{'charpoly_factorization': [[[8, -132, -2, 1], 1]], 'hecke_orbit_code': 90071992580967544, 'p': 61}
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id: 3052993
{'charpoly_factorization': [[[-16, -24, -2, 1], 1]], 'hecke_orbit_code': 90071992580967544, 'p': 67}
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id: 3052994
{'charpoly_factorization': [[[16, -46, -8, 1], 1]], 'hecke_orbit_code': 90071992580967544, 'p': 71}
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id: 3052995
{'charpoly_factorization': [[[8, -12, -14, 1], 1]], 'hecke_orbit_code': 90071992580967544, 'p': 73}
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id: 3052996
{'charpoly_factorization': [[[32, -32, -2, 1], 1]], 'hecke_orbit_code': 90071992580967544, 'p': 79}
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id: 3052997
{'charpoly_factorization': [[[232, -62, -4, 1], 1]], 'hecke_orbit_code': 90071992580967544, 'p': 83}
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id: 3052998
{'charpoly_factorization': [[[472, -44, -10, 1], 1]], 'hecke_orbit_code': 90071992580967544, 'p': 89}
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id: 3052999
{'charpoly_factorization': [[[-512, 228, -28, 1], 1]], 'hecke_orbit_code': 90071992580967544, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 21, 'label': '3192.2.a.u', 'level': 3192, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 249105000
{'hecke_orbit_code': 90071992580967544, 'n': 1, 'trace_an': 3}
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id: 249105001
{'hecke_orbit_code': 90071992580967544, 'n': 2, 'trace_an': 0}
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id: 249105002
{'hecke_orbit_code': 90071992580967544, 'n': 3, 'trace_an': -3}
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id: 249105003
{'hecke_orbit_code': 90071992580967544, 'n': 4, 'trace_an': 0}
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id: 249105004
{'hecke_orbit_code': 90071992580967544, 'n': 5, 'trace_an': 0}
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id: 249105005
{'hecke_orbit_code': 90071992580967544, 'n': 6, 'trace_an': 0}
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id: 249105006
{'hecke_orbit_code': 90071992580967544, 'n': 7, 'trace_an': -3}
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id: 249105007
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