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mf_newforms • Show schema
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{'Nk2': 11700, 'analytic_conductor': 23.35624259122451, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [2925, 2, [326, 352, 2251], [2, 1, 2]], 'cm_discs': [], 'conrey_index': 2224, 'conrey_indexes': [2224], 'dim': 4, 'field_disc': 4624, 'field_disc_factorization': [[2, 4], [17, 2]], 'field_poly': [16, 0, 9, 0, 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, [16, 0, 9, 0, 1]], [7, [4, 0, 21, 0, 1]], [11, [-4, -1, 1]]], 'hecke_orbit': 16, 'hecke_orbit_code': 67554131883068269, 'hecke_ring_generator_nbound': 7, '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_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '2925.2.c.p', 'level': 2925, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 13], 'level_radical': 195, 'minimal_twist': '585.2.a.j', 'nf_label': '4.0.4624.1', 'prim_orbit_index': 2, 'qexp_display': 'q+\\beta _{1}q^{2}+(-3+\\beta _{3})q^{4}+(\\beta _{1}+3\\beta _{2}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2925.2.c', 'trace_display': [0, 0, 0, 0], 'trace_hash': 899605039042514482, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.023', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.851', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.933', 'prec': 17}, {'__RealLiteral__': 0, 'data': '76.770', 'prec': 20}, {'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
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-38, 0], [0, -4, 18, 0], [-50, 0, 0, 12], [12, 0, 0, -16], [-24, 0, 0, 0], [0, 4, 28, 0], [0, -4, 22, 0], [4, 0, 0, -16], [0, 18, 12, 0], [-64, 0, 0, 2], [-48, 0, 0, 8], [0, -15, -15, 0], [-4, 0, 0, -16], [0, 9, -5, 0], [0, -6, -28, 0], [0, 14, 8, 0], [-48, 0, 0, 15]], 'char_orbit_index': 3, 'field_poly': [16, 0, 9, 0, 1], 'hecke_orbit_code': 67554131883068269, 'hecke_ring_character_values': [[326, [1, 0, 0, 0]], [352, [-1, 0, 0, 0]], [2251, [1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 4, 1], 'hecke_ring_inverse_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [-5, 0, 0, 1], [0, -5, 4, 0]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [0, 5, 0, 1], [5, 0, 1, 0]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '2925.2.c.p', 'level': 2925, 'maxp': 1999, 'weight': 2}
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mf_newspaces • Show schema
Hide schema
{'Nk2': 11700, 'analytic_conductor': 23.35624259122451, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [2925, 2, [326, 352, 2251], [2, 1, 2]], 'conrey_index': 2224, 'cusp_dim': 396, 'dim': 90, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7, 11], 'hecke_orbit_code': 137472510829, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 12], 'label': '2925.2.c', 'level': 2925, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 13], 'level_radical': 195, 'mf_dim': 444, 'mf_new_dim': 90, 'num_forms': 26, 'prim_orbit_index': 2, 'relative_dim': 90, 'sturm_bound': 840, 'trace_bound': 19, 'trace_display': [0, 0, 0, 0], 'traces': [90, 0, 0, -98, 0, 0, 0, 0, 0, 0, -4, 0, 0, -20, 0, 106, 0, 0, -24, 0, 0, 0, 0, 0, 0, -6, 0, 0, -20, 0, 24, 0, 0, 32, 0, 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0, 524, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 1022990
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '2925.2.c.p', 'source_level': 2925, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': True, 'target_label': '585.2.a.j', 'target_level': 585, 'twist_class_label': '585.2.a.j', 'twist_class_level': 585, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1022991
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '2925.2.c.p', 'source_level': 2925, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 12, 'target_is_minimal': True, 'target_label': '585.2.a.l', 'target_level': 585, 'twist_class_label': '585.2.a.j', 'twist_class_level': 585, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1022992
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '2925.2.c.p', 'source_level': 2925, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '2925.2.a.x', 'target_level': 2925, 'twist_class_label': '585.2.a.j', 'twist_class_level': 585, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1022993
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '2925.2.c.p', 'source_level': 2925, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 29, 'target_is_minimal': False, 'target_label': '2925.2.a.bc', 'target_level': 2925, 'twist_class_label': '585.2.a.j', 'twist_class_level': 585, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1022994
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '2925.2.c.p', 'source_level': 2925, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '2925.2.c.o', 'target_level': 2925, 'twist_class_label': '585.2.a.j', 'twist_class_level': 585, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1022995
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '2925.2.c.p', 'source_level': 2925, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '2925.2.c.o', 'target_level': 2925, 'twist_class_label': '585.2.a.j', 'twist_class_level': 585, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1022996
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '2925.2.c.p', 'source_level': 2925, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '2925.2.c.p', 'target_level': 2925, 'twist_class_label': '585.2.a.j', 'twist_class_level': 585, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1022997
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '2925.2.c.p', 'source_level': 2925, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '2925.2.c.p', 'target_level': 2925, 'twist_class_label': '585.2.a.j', 'twist_class_level': 585, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1022998
{'conductor': 65, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '2925.2.c.p', 'source_level': 2925, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 30, 'target_is_minimal': False, 'target_label': '7605.2.a.bd', 'target_level': 7605, 'twist_class_label': '585.2.a.j', 'twist_class_level': 585, 'twisting_char_label': '65.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1022999
{'conductor': 195, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '2925.2.c.p', 'source_level': 2925, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 35, 'target_is_minimal': False, 'target_label': '7605.2.a.bi', 'target_level': 7605, 'twist_class_label': '585.2.a.j', 'twist_class_level': 585, 'twisting_char_label': '195.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 1023000
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '2925.2.c.p', 'source_level': 2925, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 64, 'target_is_minimal': False, 'target_label': '9360.2.a.cl', 'target_level': 9360, 'twist_class_label': '585.2.a.j', 'twist_class_level': 585, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1023001
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '2925.2.c.p', 'source_level': 2925, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 75, 'target_is_minimal': False, 'target_label': '9360.2.a.cw', 'target_level': 9360, 'twist_class_label': '585.2.a.j', 'twist_class_level': 585, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2920875
{'charpoly_factorization': [[[16, 0, 9, 0, 1], 1]], 'hecke_orbit_code': 67554131883068269, 'p': 2}
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id: 2920876
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 67554131883068269, 'p': 3}
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id: 2920877
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 67554131883068269, 'p': 5}
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id: 2920878
{'charpoly_factorization': [[[4, 0, 21, 0, 1], 1]], 'hecke_orbit_code': 67554131883068269, 'p': 7}
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id: 2920879
{'charpoly_factorization': [[[-4, -1, 1], 2]], 'hecke_orbit_code': 67554131883068269, 'p': 11}
-
id: 2920880
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 67554131883068269, 'p': 13}
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id: 2920881
{'charpoly_factorization': [[[16, 0, 9, 0, 1], 1]], 'hecke_orbit_code': 67554131883068269, 'p': 17}
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id: 2920882
{'charpoly_factorization': [[[-16, -2, 1], 2]], 'hecke_orbit_code': 67554131883068269, 'p': 19}
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id: 2920883
{'charpoly_factorization': [[[256, 0, 49, 0, 1], 1]], 'hecke_orbit_code': 67554131883068269, 'p': 23}
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id: 2920884
{'charpoly_factorization': [[[-8, -6, 1], 2]], 'hecke_orbit_code': 67554131883068269, 'p': 29}
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id: 2920885
{'charpoly_factorization': [[[-6, 1], 4]], 'hecke_orbit_code': 67554131883068269, 'p': 31}
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id: 2920886
{'charpoly_factorization': [[[324, 0, 117, 0, 1], 1]], 'hecke_orbit_code': 67554131883068269, 'p': 37}
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id: 2920887
{'charpoly_factorization': [[[-2, -3, 1], 2]], 'hecke_orbit_code': 67554131883068269, 'p': 41}
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id: 2920888
{'charpoly_factorization': [[[256, 0, 36, 0, 1], 1]], 'hecke_orbit_code': 67554131883068269, 'p': 43}
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id: 2920889
{'charpoly_factorization': [[[1024, 0, 132, 0, 1], 1]], 'hecke_orbit_code': 67554131883068269, 'p': 47}
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id: 2920890
{'charpoly_factorization': [[[1296, 0, 81, 0, 1], 1]], 'hecke_orbit_code': 67554131883068269, 'p': 53}
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id: 2920891
{'charpoly_factorization': [[[12, 1], 4]], 'hecke_orbit_code': 67554131883068269, 'p': 59}
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id: 2920892
{'charpoly_factorization': [[[-38, 1, 1], 2]], 'hecke_orbit_code': 67554131883068269, 'p': 61}
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id: 2920893
{'charpoly_factorization': [[[23104, 0, 308, 0, 1], 1]], 'hecke_orbit_code': 67554131883068269, 'p': 67}
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id: 2920894
{'charpoly_factorization': [[[152, -25, 1], 2]], 'hecke_orbit_code': 67554131883068269, 'p': 71}
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id: 2920895
{'charpoly_factorization': [[[36, 0, 1], 2]], 'hecke_orbit_code': 67554131883068269, 'p': 73}
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id: 2920896
{'charpoly_factorization': [[[-36, -3, 1], 2]], 'hecke_orbit_code': 67554131883068269, 'p': 79}
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id: 2920897
{'charpoly_factorization': [[[272, 0, 1], 2]], 'hecke_orbit_code': 67554131883068269, 'p': 83}
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id: 2920898
{'charpoly_factorization': [[[-18, 9, 1], 2]], 'hecke_orbit_code': 67554131883068269, 'p': 89}
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id: 2920899
{'charpoly_factorization': [[[40804, 0, 429, 0, 1], 1]], 'hecke_orbit_code': 67554131883068269, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 16, 'label': '2925.2.c.p', 'level': 2925, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 237160000
{'hecke_orbit_code': 67554131883068269, 'n': 1, 'trace_an': 4}
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id: 237160001
{'hecke_orbit_code': 67554131883068269, 'n': 2, 'trace_an': 0}
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id: 237160997
{'hecke_orbit_code': 67554131883068269, 'n': 998, 'trace_an': 0}
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id: 237160998
{'hecke_orbit_code': 67554131883068269, 'n': 999, 'trace_an': 0}
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id: 237160999
{'hecke_orbit_code': 67554131883068269, 'n': 1000, 'trace_an': 0}