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{'Nk2': 10140, 'analytic_conductor': 20.242076912394577, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [5, -1], [13, -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': [2535, 1, [1691, 1522, 1861], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 3, 'field_disc': 49, 'field_disc_factorization': [[7, 2]], 'field_poly': [1, -2, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 14, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-1, -2, 1, 1]], [7, [1, -1, -2, 1]], [11, [1, 1]]], 'hecke_orbit': 22, 'hecke_orbit_code': 94575592208337383, 'hecke_ring_generator_nbound': 2, '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': '2535.2.a.v', 'level': 2535, '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': '2535.2.a.v', 'nf_label': '3.3.49.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{2}-q^{3}+\\beta _{2}q^{4}+q^{5}+\\beta _{1}q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2535.2.a', 'trace_display': [-1, -3, 3, 2], 'trace_hash': 741726958732928468, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.875', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.099', 'prec': 17}, {'__RealLiteral__': 0, 'data': '22.237', 'prec': 20}, {'__RealLiteral__': 0, 'data': '4.456', 'prec': 17}, {'__RealLiteral__': 0, 'data': '254.902', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.003', 'prec': 17}, 'traces': [3, -1, -3, -1, 3, 1, 2, 0, 3, -1, -3, 1, 0, 4, -3, -5, -10, -1, -6, -1, -2, 1, 5, 0, 3, 0, -3, -3, 1, 1, 3, 4, 3, -6, 2, -1, 5, -5, 0, 0, -22, -4, -16, 1, 3, -4, 12, 5, -15, -1, 10, 0, 5, 1, -3, -7, 6, 16, 3, 1, -10, -1, 2, 4, 0, -1, -20, 8, -5, 4, 6, 0, 2, -18, -3, 16, -2, 0, -2, -5, 3, 12, 27, 3, -10, 10, -1, 0, 4, -1, 0, -4, -3, -18, -6, -4, 9, 12, -3, -1, -7, 6, -13, 0, -2, 17, 13, 1, -6, 1, -5, -1, -21, 5, 5, -19, 0, -29, -16, 0, -30, -13, 22, -15, 3, 4, -33, 7, 16, 0, 3, -1, -11, 9, -3, 14, -23, 4, -45, -3, -12, -23, 0, -5, 1, -31, 15, 3, -31, 1, -29, 0, -10, -4, 3, 0, -51, 38, -5, 4, 1, -1, 31, 5, 3, 12, -15, 7, 0, -6, -6, 3, -18, -16, 2, 5, -3, 1, 13, -1, -21, 0, 10, 7, 5, 1, 10, 17, -2, -5, 4, -4, 17, -3, 0, 5, -14, 1, -16, 0, 20, -35, 17, -8, -22, -19, 5, 0, 6, -4, 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mf_hecke_nf • Show schema
Hide schema
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[-19, -29, -13], [-1, 37, -20], [25, -13, -36], [-73, -10, -3], [-8, 23, -17], [8, 40, 3], [73, -18, 40], [-66, 53, -80], [-27, 12, 33], [31, -10, -3], [-10, 71, -31], [-31, -19, -8], [-15, -29, -22], [76, -28, 44], [12, 16, 8], [-8, -54, 25], [24, -29, 24], [15, 20, -35], [40, -22, -15], [36, 40, -16], [-76, 17, -22], [-21, -13, -13], [-13, 30, -16]], 'char_orbit_index': 1, 'field_poly': [1, -2, -1, 1], 'hecke_orbit_code': 94575592208337383, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0], [0, 1, 0], [2, 0, 1]], 'hecke_ring_numerators': [[1, 0, 0], [0, 1, 0], [-2, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 3, 'label': '2535.2.a.v', 'level': 2535, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[3, -1], [5, -1], [13, -1]], 18, 7], [[[3, -1], [5, -1], [13, 1]], 8, 5], [[[3, 1], [5, 1], [13, 1]], 11, 5], [[[3, 1], [5, 1], [13, -1]], 14, 3], [[[3, 1], [5, -1], [13, -1]], 8, 3], [[[3, -1], [5, 1], [13, 1]], 15, 8], [[[3, 1], [5, -1], [13, 1]], 18, 4], [[[3, -1], [5, 1], [13, -1]], 12, 5]], 'ALdims': [11, 14, 18, 8, 15, 12, 8, 18], 'Nk2': 10140, 'analytic_conductor': 20.242076912394577, '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': [2535, 1, [1691, 1522, 1861], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 337, 'dim': 104, 'eis_dim': 55, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7, 11], 'hecke_orbit_code': 33556967, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 9, 9], 'label': '2535.2.a', 'level': 2535, 'level_is_prime': False, 'level_is_prime_power': False, 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56, -392, 0, 252, -256, 352, 272, -16, -320, -24, 208, 576, -6], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 958616
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 22, 'source_is_minimal': True, 'source_label': '2535.2.a.v', 'source_level': 2535, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 22, 'target_is_minimal': True, 'target_label': '2535.2.a.v', 'target_level': 2535, 'twist_class_label': '2535.2.a.v', 'twist_class_level': 2535, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 958617
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 22, 'source_is_minimal': True, 'source_label': '2535.2.a.v', 'source_level': 2535, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 30, 'target_is_minimal': True, 'target_label': '2535.2.a.bd', 'target_level': 2535, 'twist_class_label': '2535.2.a.v', 'twist_class_level': 2535, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 958618
{'conductor': 39, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 22, 'source_is_minimal': True, 'source_label': '2535.2.a.v', 'source_level': 2535, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 43, 'target_is_minimal': False, 'target_label': '7605.2.a.bq', 'target_level': 7605, 'twist_class_label': '2535.2.a.v', 'twist_class_level': 2535, 'twisting_char_label': '39.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 958619
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 22, 'source_is_minimal': True, 'source_label': '2535.2.a.v', 'source_level': 2535, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 52, 'target_is_minimal': False, 'target_label': '7605.2.a.bz', 'target_level': 7605, 'twist_class_label': '2535.2.a.v', 'twist_class_level': 2535, '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: 2713600
{'charpoly_factorization': [[[-1, -2, 1, 1], 1]], 'hecke_orbit_code': 94575592208337383, 'p': 2}
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id: 2713601
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 94575592208337383, 'p': 3}
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id: 2713602
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 94575592208337383, 'p': 5}
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id: 2713603
{'charpoly_factorization': [[[1, -1, -2, 1], 1]], 'hecke_orbit_code': 94575592208337383, 'p': 7}
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id: 2713604
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 94575592208337383, 'p': 11}
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id: 2713605
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 94575592208337383, 'p': 13}
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id: 2713606
{'charpoly_factorization': [[[8, 24, 10, 1], 1]], 'hecke_orbit_code': 94575592208337383, 'p': 17}
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id: 2713607
{'charpoly_factorization': [[[-41, -9, 6, 1], 1]], 'hecke_orbit_code': 94575592208337383, 'p': 19}
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id: 2713608
{'charpoly_factorization': [[[-1, 6, -5, 1], 1]], 'hecke_orbit_code': 94575592208337383, 'p': 23}
-
id: 2713609
{'charpoly_factorization': [[[127, -44, -1, 1], 1]], 'hecke_orbit_code': 94575592208337383, 'p': 29}
-
id: 2713610
{'charpoly_factorization': [[[-29, -25, -3, 1], 1]], 'hecke_orbit_code': 94575592208337383, 'p': 31}
-
id: 2713611
{'charpoly_factorization': [[[97, -22, -5, 1], 1]], 'hecke_orbit_code': 94575592208337383, 'p': 37}
-
id: 2713612
{'charpoly_factorization': [[[377, 159, 22, 1], 1]], 'hecke_orbit_code': 94575592208337383, 'p': 41}
-
id: 2713613
{'charpoly_factorization': [[[139, 83, 16, 1], 1]], 'hecke_orbit_code': 94575592208337383, 'p': 43}
-
id: 2713614
{'charpoly_factorization': [[[41, -1, -12, 1], 1]], 'hecke_orbit_code': 94575592208337383, 'p': 47}
-
id: 2713615
{'charpoly_factorization': [[[83, -92, -5, 1], 1]], 'hecke_orbit_code': 94575592208337383, 'p': 53}
-
id: 2713616
{'charpoly_factorization': [[[377, -88, -3, 1], 1]], 'hecke_orbit_code': 94575592208337383, 'p': 59}
-
id: 2713617
{'charpoly_factorization': [[[-433, -81, 10, 1], 1]], 'hecke_orbit_code': 94575592208337383, 'p': 61}
-
id: 2713618
{'charpoly_factorization': [[[169, 117, 20, 1], 1]], 'hecke_orbit_code': 94575592208337383, 'p': 67}
-
id: 2713619
{'charpoly_factorization': [[[307, -51, -6, 1], 1]], 'hecke_orbit_code': 94575592208337383, 'p': 71}
-
id: 2713620
{'charpoly_factorization': [[[743, -183, -2, 1], 1]], 'hecke_orbit_code': 94575592208337383, 'p': 73}
-
id: 2713621
{'charpoly_factorization': [[[223, -155, 2, 1], 1]], 'hecke_orbit_code': 94575592208337383, 'p': 79}
-
id: 2713622
{'charpoly_factorization': [[[377, 152, -27, 1], 1]], 'hecke_orbit_code': 94575592208337383, 'p': 83}
-
id: 2713623
{'charpoly_factorization': [[[421, -81, -4, 1], 1]], 'hecke_orbit_code': 94575592208337383, 'p': 89}
-
id: 2713624
{'charpoly_factorization': [[[2241, -225, -9, 1], 1]], 'hecke_orbit_code': 94575592208337383, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 22, 'label': '2535.2.a.v', 'level': 2535, 'portrait': 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'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 251224000
{'hecke_orbit_code': 94575592208337383, 'n': 1, 'trace_an': 3}
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id: 251224001
{'hecke_orbit_code': 94575592208337383, 'n': 2, 'trace_an': -1}
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id: 251224002
{'hecke_orbit_code': 94575592208337383, 'n': 3, 'trace_an': -3}
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id: 251224003
{'hecke_orbit_code': 94575592208337383, 'n': 4, 'trace_an': -1}
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id: 251224004
{'hecke_orbit_code': 94575592208337383, 'n': 5, 'trace_an': 3}
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id: 251224005
{'hecke_orbit_code': 94575592208337383, 'n': 6, 'trace_an': 1}
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id: 251224006
{'hecke_orbit_code': 94575592208337383, 'n': 7, 'trace_an': 2}
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id: 251224007
{'hecke_orbit_code': 94575592208337383, 'n': 8, 'trace_an': 0}
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id: 251224008
{'hecke_orbit_code': 94575592208337383, 'n': 9, 'trace_an': 3}
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id: 251224009
{'hecke_orbit_code': 94575592208337383, 'n': 10, 'trace_an': -1}
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id: 251224010
{'hecke_orbit_code': 94575592208337383, 'n': 11, 'trace_an': -3}
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