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{'Nk2': 24320, 'analytic_conductor': 48.54904442893847, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [5, 1], [19, 1]], 'atkin_lehner_string': '+++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [6080, 1, [191, 5701, 1217, 1921], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 3, 'field_disc': 148, 'field_disc_factorization': [[2, 2], [37, 1]], 'field_poly': [1, -3, -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': [[3, [-2, -4, 0, 1]], [7, [4, -8, 2, 1]], [11, [-4, -4, 2, 1]]], 'hecke_orbit': 46, 'hecke_orbit_code': 202661983265232832, 'hecke_ring_generator_nbound': 3, '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': '6080.2.a.bt', 'level': 6080, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 19], 'level_radical': 190, 'minimal_twist': '3040.2.a.l', 'nf_label': '3.3.148.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{2}q^{3}-q^{5}+(-1+\\beta _{1}-\\beta _{2})q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6080.2.a', 'trace_display': [0, 0, -3, -2], 'trace_hash': 2265898251799565172, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.966', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '23.514', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '280.690', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.006', 'prec': 17}, 'traces': [3, 0, 0, 0, -3, 0, -2, 0, -1, 0, -2, 0, 4, 0, 0, 0, -10, 0, -3, 0, 10, 0, 6, 0, 3, 0, 6, 0, 14, 0, -10, 0, -6, 0, 2, 0, 2, 0, 2, 0, -20, 0, -10, 0, 1, 0, 6, 0, -1, 0, -12, 0, 10, 0, 2, 0, 0, 0, 6, 0, 18, 0, 2, 0, -4, 0, 2, 0, 2, 0, -6, 0, 2, 0, 0, 0, 0, 0, -18, 0, -13, 0, 2, 0, 10, 0, 8, 0, -2, 0, 6, 0, -12, 0, 3, 0, 6, 0, -10, 0, 10, 0, -34, 0, -10, 0, 6, 0, 8, 0, -34, 0, -16, 0, -6, 0, -6, 0, 4, 0, -21, 0, -20, 0, -3, 0, 12, 0, 6, 0, -20, 0, 2, 0, -6, 0, 10, 0, -38, 0, 2, 0, 2, 0, -14, 0, -24, 0, 10, 0, -8, 0, -18, 0, 10, 0, 2, 0, -30, 0, -20, 0, -10, 0, 6, 0, -16, 0, -27, 0, 1, 0, 20, 0, -2, 0, 12, 0, -18, 0, 34, 0, -18, 0, -2, 0, 28, 0, -24, 0, 16, 0, 2, 0, -2, 0, -10, 0, -16, 0, -16, 0, -24, 0, 20, 0, 18, 0, 2, 0, -24, 0, 28, 0, 10, 0, 4, 0, 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mf_hecke_nf • Show schema
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52, 34], [-60, 14, -5], [-26, 30, 8], [-53, -7, 8], [-51, 7, -23], [14, 2, -26], [31, -21, -38], [21, -15, 18], [32, -36, -19], [17, 15, -37], [50, 2, 20], [-9, 21, 17]], 'char_orbit_index': 1, 'field_poly': [1, -3, -1, 1], 'hecke_orbit_code': 202661983265232832, '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, 1, 1]], 'hecke_ring_numerators': [[1, 0, 0], [0, 1, 0], [-2, -1, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 3, 'label': '6080.2.a.bt', 'level': 6080, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, 1], [5, 1], [19, -1]], 21, 10], [[[2, -1], [5, -1], [19, -1]], 21, 9], [[[2, 1], [5, -1], [19, -1]], 15, 6], [[[2, 1], [5, -1], [19, 1]], 19, 7], [[[2, 1], [5, 1], [19, 1]], 17, 7], [[[2, -1], [5, -1], [19, 1]], 17, 8], [[[2, -1], [5, 1], [19, 1]], 19, 10], [[[2, -1], [5, 1], [19, -1]], 15, 7]], 'ALdims': [17, 21, 19, 15, 19, 15, 17, 21], 'Nk2': 24320, 'analytic_conductor': 48.54904442893847, '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': [6080, 1, [191, 5701, 1217, 1921], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 937, 'dim': 144, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 11], 'hecke_orbit_code': 33560512, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5], 'label': 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mf_twists_nf • Show schema
Hide schema
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id: 1288430
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 46, 'source_is_minimal': False, 'source_label': '6080.2.a.bt', 'source_level': 6080, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 12, 'target_is_minimal': True, 'target_label': '3040.2.a.l', 'target_level': 3040, 'twist_class_label': '3040.2.a.l', 'twist_class_level': 3040, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1288431
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 46, 'source_is_minimal': False, 'source_label': '6080.2.a.bt', 'source_level': 6080, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 13, 'target_is_minimal': True, 'target_label': '3040.2.a.m', 'target_level': 3040, 'twist_class_label': '3040.2.a.l', 'twist_class_level': 3040, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1288432
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 46, 'source_is_minimal': False, 'source_label': '6080.2.a.bt', 'source_level': 6080, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 46, 'target_is_minimal': False, 'target_label': '6080.2.a.bt', 'target_level': 6080, 'twist_class_label': '3040.2.a.l', 'twist_class_level': 3040, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1288433
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 46, 'source_is_minimal': False, 'source_label': '6080.2.a.bt', 'source_level': 6080, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 47, 'target_is_minimal': False, 'target_label': '6080.2.a.bu', 'target_level': 6080, 'twist_class_label': '3040.2.a.l', 'twist_class_level': 3040, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4085875
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 202661983265232832, 'p': 2}
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id: 4085876
{'charpoly_factorization': [[[-2, -4, 0, 1], 1]], 'hecke_orbit_code': 202661983265232832, 'p': 3}
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id: 4085877
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 202661983265232832, 'p': 5}
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id: 4085878
{'charpoly_factorization': [[[4, -8, 2, 1], 1]], 'hecke_orbit_code': 202661983265232832, 'p': 7}
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id: 4085879
{'charpoly_factorization': [[[-4, -4, 2, 1], 1]], 'hecke_orbit_code': 202661983265232832, 'p': 11}
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id: 4085880
{'charpoly_factorization': [[[2, 2, -4, 1], 1]], 'hecke_orbit_code': 202661983265232832, 'p': 13}
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id: 4085881
{'charpoly_factorization': [[[-40, 12, 10, 1], 1]], 'hecke_orbit_code': 202661983265232832, 'p': 17}
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id: 4085882
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 202661983265232832, 'p': 19}
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id: 4085883
{'charpoly_factorization': [[[100, -16, -6, 1], 1]], 'hecke_orbit_code': 202661983265232832, 'p': 23}
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id: 4085884
{'charpoly_factorization': [[[296, 12, -14, 1], 1]], 'hecke_orbit_code': 202661983265232832, 'p': 29}
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id: 4085885
{'charpoly_factorization': [[[-40, 12, 10, 1], 1]], 'hecke_orbit_code': 202661983265232832, 'p': 31}
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id: 4085886
{'charpoly_factorization': [[[74, -74, -2, 1], 1]], 'hecke_orbit_code': 202661983265232832, 'p': 37}
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id: 4085887
{'charpoly_factorization': [[[-32, 96, 20, 1], 1]], 'hecke_orbit_code': 202661983265232832, 'p': 41}
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id: 4085888
{'charpoly_factorization': [[[20, 28, 10, 1], 1]], 'hecke_orbit_code': 202661983265232832, 'p': 43}
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id: 4085889
{'charpoly_factorization': [[[100, -16, -6, 1], 1]], 'hecke_orbit_code': 202661983265232832, 'p': 47}
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id: 4085890
{'charpoly_factorization': [[[334, -26, -10, 1], 1]], 'hecke_orbit_code': 202661983265232832, 'p': 53}
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id: 4085891
{'charpoly_factorization': [[[216, -108, -6, 1], 1]], 'hecke_orbit_code': 202661983265232832, 'p': 59}
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id: 4085892
{'charpoly_factorization': [[[52, 60, -18, 1], 1]], 'hecke_orbit_code': 202661983265232832, 'p': 61}
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id: 4085893
{'charpoly_factorization': [[[-86, -64, -2, 1], 1]], 'hecke_orbit_code': 202661983265232832, 'p': 67}
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id: 4085894
{'charpoly_factorization': [[[296, -148, 6, 1], 1]], 'hecke_orbit_code': 202661983265232832, 'p': 71}
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id: 4085895
{'charpoly_factorization': [[[-296, -148, -2, 1], 1]], 'hecke_orbit_code': 202661983265232832, 'p': 73}
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id: 4085896
{'charpoly_factorization': [[[-520, -12, 18, 1], 1]], 'hecke_orbit_code': 202661983265232832, 'p': 79}
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id: 4085897
{'charpoly_factorization': [[[-268, -92, -2, 1], 1]], 'hecke_orbit_code': 202661983265232832, 'p': 83}
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id: 4085898
{'charpoly_factorization': [[[232, -84, 2, 1], 1]], 'hecke_orbit_code': 202661983265232832, 'p': 89}
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id: 4085899
{'charpoly_factorization': [[[-54, -198, -6, 1], 1]], 'hecke_orbit_code': 202661983265232832, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 46, 'label': '6080.2.a.bt', 'level': 6080, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 275848000
{'hecke_orbit_code': 202661983265232832, 'n': 1, 'trace_an': 3}
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id: 275848001
{'hecke_orbit_code': 202661983265232832, 'n': 2, 'trace_an': 0}
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id: 275848002
{'hecke_orbit_code': 202661983265232832, 'n': 3, 'trace_an': 0}
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id: 275848003
{'hecke_orbit_code': 202661983265232832, 'n': 4, 'trace_an': 0}
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id: 275848004
{'hecke_orbit_code': 202661983265232832, 'n': 5, 'trace_an': -3}
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id: 275848005
{'hecke_orbit_code': 202661983265232832, 'n': 6, 'trace_an': 0}
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id: 275848006
{'hecke_orbit_code': 202661983265232832, 'n': 7, 'trace_an': -2}
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id: 275848007
{'hecke_orbit_code': 202661983265232832, 'n': 8, 'trace_an': 0}
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id: 275848008
{'hecke_orbit_code': 202661983265232832, 'n': 9, 'trace_an': -1}
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id: 275848009
{'hecke_orbit_code': 202661983265232832, 'n': 10, 'trace_an': 0}
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id: 275848010
{'hecke_orbit_code': 202661983265232832, 'n': 11, 'trace_an': -2}
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id: 275848011
{'hecke_orbit_code': 202661983265232832, 'n': 12, 'trace_an': 0}
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id: 275848012
{'hecke_orbit_code': 202661983265232832, 'n': 13, 'trace_an': 4}
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id: 275848013
{'hecke_orbit_code': 202661983265232832, 'n': 14, 'trace_an': 0}
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id: 275848014
{'hecke_orbit_code': 202661983265232832, 'n': 15, 'trace_an': 0}
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id: 275848015
{'hecke_orbit_code': 202661983265232832, 'n': 16, 'trace_an': 0}
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id: 275848016
{'hecke_orbit_code': 202661983265232832, 'n': 17, 'trace_an': -10}
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id: 275848017
{'hecke_orbit_code': 202661983265232832, 'n': 18, 'trace_an': 0}
-
id: 275848018
{'hecke_orbit_code': 202661983265232832, 'n': 19, 'trace_an': -3}
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id: 275848019
{'hecke_orbit_code': 202661983265232832, 'n': 20, 'trace_an': 0}
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id: 275848020
{'hecke_orbit_code': 202661983265232832, 'n': 21, 'trace_an': 10}
-
id: 275848021
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