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{'Nk2': 4400, 'analytic_conductor': 8.783544222340842, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [5, 1], [11, 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': [1100, 1, [551, 177, 101], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 21, 'field_disc_factorization': [[3, 1], [7, 1]], 'field_poly': [-5, -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, [-5, -1, 1]], [7, [1, -5, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525197425149004, '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': True, 'label': '1100.2.a.h', 'level': 1100, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 11], 'level_radical': 110, 'minimal_twist': '1100.2.a.g', 'nf_label': '2.2.21.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta q^{3}+(3-\\beta )q^{7}+(2+\\beta )q^{9}-q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1100.2.a', 'trace_display': [0, 1, 0, 5], 'trace_hash': 107371850148364905, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.023', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.936', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.071', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.423', 'prec': 17}, 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [5, -1], [11, -1]], 6, 2], [[[2, -1], [5, 1], [11, 1]], 4, 3], [[[2, -1], [5, -1], [11, 1]], 4, 3], [[[2, -1], [5, 1], [11, -1]], 3, 2]], 'ALdims': [0, 0, 0, 0, 4, 3, 4, 6], 'Nk2': 4400, 'analytic_conductor': 8.783544222340842, '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': [1100, 1, [551, 177, 101], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 163, 'dim': 17, 'eis_dim': 35, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7], 'hecke_orbit_code': 33555532, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 2, 2, 2, 2, 4], 'label': '1100.2.a', 'level': 1100, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 11], 'level_radical': 110, 'mf_dim': 198, 'mf_new_dim': 17, 'num_forms': 10, 'plus_dim': 7, 'prim_orbit_index': 1, 'relative_dim': 17, 'sturm_bound': 360, 'trace_bound': 7, 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0, 34, 0, -8, 0, -56, 0, 0, 0, 64, 0, 268, 0, 18, 0, 56, 0, 0, 0, -43, 0, 380, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 646462
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': True, 'source_label': '1100.2.a.h', 'source_level': 1100, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '1100.2.a.g', 'target_level': 1100, 'twist_class_label': '1100.2.a.g', 'twist_class_level': 1100, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 646463
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': True, 'source_label': '1100.2.a.h', 'source_level': 1100, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': True, 'target_label': '1100.2.a.h', 'target_level': 1100, 'twist_class_label': '1100.2.a.g', 'twist_class_level': 1100, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 646464
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': True, 'source_label': '1100.2.a.h', 'source_level': 1100, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1100.2.b.d', 'target_level': 1100, 'twist_class_label': '1100.2.a.g', 'twist_class_level': 1100, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 646465
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': True, 'source_label': '1100.2.a.h', 'source_level': 1100, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 35, 'target_is_minimal': False, 'target_label': '4400.2.a.bi', 'target_level': 4400, 'twist_class_label': '1100.2.a.g', 'twist_class_level': 1100, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 646466
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': True, 'source_label': '1100.2.a.h', 'source_level': 1100, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 47, 'target_is_minimal': False, 'target_label': '4400.2.a.bu', 'target_level': 4400, 'twist_class_label': '1100.2.a.g', 'twist_class_level': 1100, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 646467
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': True, 'source_label': '1100.2.a.h', 'source_level': 1100, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '4400.2.b.s', 'target_level': 4400, 'twist_class_label': '1100.2.a.g', 'twist_class_level': 1100, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 646468
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': True, 'source_label': '1100.2.a.h', 'source_level': 1100, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 34, 'target_is_minimal': False, 'target_label': '9900.2.a.bh', 'target_level': 9900, 'twist_class_label': '1100.2.a.g', 'twist_class_level': 1100, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 646469
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': True, 'source_label': '1100.2.a.h', 'source_level': 1100, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 52, 'target_is_minimal': False, 'target_label': '9900.2.a.bz', 'target_level': 9900, 'twist_class_label': '1100.2.a.g', 'twist_class_level': 1100, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 646470
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': True, 'source_label': '1100.2.a.h', 'source_level': 1100, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '9900.2.c.x', 'target_level': 9900, 'twist_class_label': '1100.2.a.g', 'twist_class_level': 1100, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1437625
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 31525197425149004, 'p': 2}
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id: 1437626
{'charpoly_factorization': [[[-5, -1, 1], 1]], 'hecke_orbit_code': 31525197425149004, 'p': 3}
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id: 1437627
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 31525197425149004, 'p': 5}
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id: 1437628
{'charpoly_factorization': [[[1, -5, 1], 1]], 'hecke_orbit_code': 31525197425149004, 'p': 7}
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id: 1437629
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 31525197425149004, 'p': 11}
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id: 1437630
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 31525197425149004, 'p': 13}
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id: 1437631
{'charpoly_factorization': [[[-3, -3, 1], 1]], 'hecke_orbit_code': 31525197425149004, 'p': 17}
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id: 1437632
{'charpoly_factorization': [[[-17, -4, 1], 1]], 'hecke_orbit_code': 31525197425149004, 'p': 19}
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id: 1437633
{'charpoly_factorization': [[[-3, -3, 1], 1]], 'hecke_orbit_code': 31525197425149004, 'p': 23}
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id: 1437634
{'charpoly_factorization': [[[15, -9, 1], 1]], 'hecke_orbit_code': 31525197425149004, 'p': 29}
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id: 1437635
{'charpoly_factorization': [[[-5, 8, 1], 1]], 'hecke_orbit_code': 31525197425149004, 'p': 31}
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id: 1437636
{'charpoly_factorization': [[[-17, 4, 1], 1]], 'hecke_orbit_code': 31525197425149004, 'p': 37}
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id: 1437637
{'charpoly_factorization': [[[15, 12, 1], 1]], 'hecke_orbit_code': 31525197425149004, 'p': 41}
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id: 1437638
{'charpoly_factorization': [[[-10, 1], 2]], 'hecke_orbit_code': 31525197425149004, 'p': 43}
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id: 1437639
{'charpoly_factorization': [[[15, -12, 1], 1]], 'hecke_orbit_code': 31525197425149004, 'p': 47}
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id: 1437640
{'charpoly_factorization': [[[-27, 9, 1], 1]], 'hecke_orbit_code': 31525197425149004, 'p': 53}
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id: 1437641
{'charpoly_factorization': [[[15, 12, 1], 1]], 'hecke_orbit_code': 31525197425149004, 'p': 59}
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id: 1437642
{'charpoly_factorization': [[[37, -13, 1], 1]], 'hecke_orbit_code': 31525197425149004, 'p': 61}
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id: 1437643
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 31525197425149004, 'p': 67}
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id: 1437644
{'charpoly_factorization': [[[-180, -6, 1], 1]], 'hecke_orbit_code': 31525197425149004, 'p': 71}
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id: 1437645
{'charpoly_factorization': [[[25, -11, 1], 1]], 'hecke_orbit_code': 31525197425149004, 'p': 73}
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id: 1437646
{'charpoly_factorization': [[[-257, -1, 1], 1]], 'hecke_orbit_code': 31525197425149004, 'p': 79}
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id: 1437647
{'charpoly_factorization': [[[-129, 3, 1], 1]], 'hecke_orbit_code': 31525197425149004, 'p': 83}
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id: 1437648
{'charpoly_factorization': [[[-3, -3, 1], 1]], 'hecke_orbit_code': 31525197425149004, 'p': 89}
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id: 1437649
{'charpoly_factorization': [[[67, -17, 1], 1]], 'hecke_orbit_code': 31525197425149004, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 8, 'label': '1100.2.a.h', 'level': 1100, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 185538000
{'hecke_orbit_code': 31525197425149004, 'n': 1, 'trace_an': 2}
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id: 185538001
{'hecke_orbit_code': 31525197425149004, 'n': 2, 'trace_an': 0}
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id: 185538002
{'hecke_orbit_code': 31525197425149004, 'n': 3, 'trace_an': 1}
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id: 185538003
{'hecke_orbit_code': 31525197425149004, 'n': 4, 'trace_an': 0}
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id: 185538004
{'hecke_orbit_code': 31525197425149004, 'n': 5, 'trace_an': 0}
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id: 185538005
{'hecke_orbit_code': 31525197425149004, 'n': 6, 'trace_an': 0}
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id: 185538006
{'hecke_orbit_code': 31525197425149004, 'n': 7, 'trace_an': 5}
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id: 185538007
{'hecke_orbit_code': 31525197425149004, 'n': 8, 'trace_an': 0}
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id: 185538008
{'hecke_orbit_code': 31525197425149004, 'n': 9, 'trace_an': 5}
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id: 185538009
{'hecke_orbit_code': 31525197425149004, 'n': 10, 'trace_an': 0}
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id: 185538010
{'hecke_orbit_code': 31525197425149004, 'n': 11, 'trace_an': -2}
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id: 185538011
{'hecke_orbit_code': 31525197425149004, 'n': 12, 'trace_an': 0}
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id: 185538012
{'hecke_orbit_code': 31525197425149004, 'n': 13, 'trace_an': 2}
-
id: 185538013
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