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{'Nk2': 31200, 'analytic_conductor': 62.2833135765987, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [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': [7800, 1, [1951, 3901, 5201, 7177, 4201], [1, 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': [[7, [-25, -15, 1, 1]], [11, [-1, -1, 3, 1]], [17, [-137, -29, 5, 1]], [19, [-4, -4, 2, 1]]], 'hecke_orbit': 41, 'hecke_orbit_code': 180143985128382072, 'hecke_ring_generator_nbound': 11, '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': '7800.2.a.bo', 'level': 7800, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 13], 'level_radical': 390, 'minimal_twist': '7800.2.a.bl', 'nf_label': '3.3.148.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+(-\\beta _{1}-2\\beta _{2})q^{7}+q^{9}+(-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': '7800.2.a', 'trace_display': [0, 3, 0, -1], 'trace_hash': 1607753145877837689, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.154', 'prec': 17}, 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mf_hecke_nf • Show schema
Hide schema
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'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': '7800.2.a.bo', 'level': 7800, 'maxp': 3361, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [5, -1], [13, -1]], 7, 3], [[[2, -1], [3, 1], [5, 1], [13, -1]], 5, 4], [[[2, 1], [3, 1], [5, -1], [13, -1]], 7, 2], [[[2, -1], [3, 1], [5, -1], [13, 1]], 7, 2], [[[2, -1], [3, 1], [5, -1], [13, -1]], 9, 4], [[[2, -1], [3, -1], [5, 1], [13, 1]], 7, 4], [[[2, 1], [3, -1], [5, -1], [13, -1]], 9, 2], [[[2, 1], [3, 1], [5, 1], [13, -1]], 7, 3], [[[2, 1], [3, -1], [5, 1], [13, -1]], 5, 3], [[[2, 1], [3, 1], [5, 1], [13, 1]], 7, 3], [[[2, -1], [3, 1], [5, 1], [13, 1]], 8, 5], [[[2, 1], [3, -1], [5, -1], [13, 1]], 7, 3], [[[2, -1], [3, -1], [5, 1], [13, -1]], 7, 4], [[[2, -1], [3, -1], [5, -1], [13, 1]], 7, 2], [[[2, 1], [3, 1], [5, -1], [13, 1]], 7, 3], [[[2, 1], [3, -1], [5, 1], [13, 1]], 8, 6]], 'ALdims': [7, 7, 7, 7, 8, 5, 7, 9, 8, 5, 7, 9, 7, 7, 7, 7], 'Nk2': 31200, 'analytic_conductor': 62.2833135765987, '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': [7800, 1, [1951, 3901, 5201, 7177, 4201], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1633, 'dim': 114, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 17, 19], 'hecke_orbit_code': 33562232, '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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5], 'label': '7800.2.a', 'level': 7800, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 13], 'level_radical': 390, 'mf_dim': 1728, 'mf_new_dim': 114, 'num_forms': 53, 'plus_dim': 52, 'prim_orbit_index': 1, 'relative_dim': 114, 'sturm_bound': 3360, 'trace_bound': 17, 'trace_display': [0, 0, 0, 4], 'traces': [114, 0, 0, 0, 0, 0, 4, 0, 114, 0, 0, 0, -2, 0, 0, 0, -4, 0, -12, 0, 4, 0, -24, 0, 0, 0, 0, 0, -4, 0, 4, 0, -16, 0, 0, 0, -4, 0, 0, 0, -8, 0, 16, 0, 0, 0, 16, 0, 90, 0, 0, 0, 4, 0, 0, 0, 4, 0, 8, 0, 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0, -396, 0, 88, 0, 0, 0, -40, 0, -176, 0, -232, 0, -28, 0, 0, 0, 504, 0, 48, 0, -148, 0, 160, 0, 0, 0, -40, 0, 304, 0, -156, 0, -72, 0, 0, 0, 228, 0, 528, 0, 368, 0, -180, 0, 0, 0, -336, 0, 64, 0, -8, 0, 360, 0, 0, 0, -248, 0, -324, 0, -32, 0, 96, 0, 0, 0, 16, 0, 88, 0, 84, 0, 548, 0, 0, 0, 648, 0, 496, 0, 192, 0, 496, 0, 0, 0, 52, 0, 1248, 0, 124], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 1365134
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 41, 'source_is_minimal': True, 'source_label': '7800.2.a.bo', 'source_level': 7800, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 38, 'target_is_minimal': True, 'target_label': '7800.2.a.bl', 'target_level': 7800, 'twist_class_label': '7800.2.a.bl', 'twist_class_level': 7800, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1365135
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 41, 'source_is_minimal': True, 'source_label': '7800.2.a.bo', 'source_level': 7800, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 41, 'target_is_minimal': True, 'target_label': '7800.2.a.bo', 'target_level': 7800, 'twist_class_label': '7800.2.a.bl', 'twist_class_level': 7800, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4576500
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 180143985128382072, 'p': 2}
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id: 4576501
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 180143985128382072, 'p': 3}
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id: 4576502
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 180143985128382072, 'p': 5}
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id: 4576503
{'charpoly_factorization': [[[-25, -15, 1, 1], 1]], 'hecke_orbit_code': 180143985128382072, 'p': 7}
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id: 4576504
{'charpoly_factorization': [[[-1, -1, 3, 1], 1]], 'hecke_orbit_code': 180143985128382072, 'p': 11}
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id: 4576505
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 180143985128382072, 'p': 13}
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id: 4576506
{'charpoly_factorization': [[[-137, -29, 5, 1], 1]], 'hecke_orbit_code': 180143985128382072, 'p': 17}
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id: 4576507
{'charpoly_factorization': [[[-4, -4, 2, 1], 1]], 'hecke_orbit_code': 180143985128382072, 'p': 19}
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id: 4576508
{'charpoly_factorization': [[[-268, -72, 4, 1], 1]], 'hecke_orbit_code': 180143985128382072, 'p': 23}
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id: 4576509
{'charpoly_factorization': [[[-5, -13, 1, 1], 1]], 'hecke_orbit_code': 180143985128382072, 'p': 29}
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id: 4576510
{'charpoly_factorization': [[[19, 27, 11, 1], 1]], 'hecke_orbit_code': 180143985128382072, 'p': 31}
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id: 4576511
{'charpoly_factorization': [[[-556, -56, 10, 1], 1]], 'hecke_orbit_code': 180143985128382072, 'p': 37}
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id: 4576512
{'charpoly_factorization': [[[-100, 52, 16, 1], 1]], 'hecke_orbit_code': 180143985128382072, 'p': 41}
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id: 4576513
{'charpoly_factorization': [[[-268, -84, 0, 1], 1]], 'hecke_orbit_code': 180143985128382072, 'p': 43}
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id: 4576514
{'charpoly_factorization': [[[-13, 25, -11, 1], 1]], 'hecke_orbit_code': 180143985128382072, 'p': 47}
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id: 4576515
{'charpoly_factorization': [[[221, 115, 19, 1], 1]], 'hecke_orbit_code': 180143985128382072, 'p': 53}
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id: 4576516
{'charpoly_factorization': [[[-675, -207, 3, 1], 1]], 'hecke_orbit_code': 180143985128382072, 'p': 59}
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id: 4576517
{'charpoly_factorization': [[[215, 131, 21, 1], 1]], 'hecke_orbit_code': 180143985128382072, 'p': 61}
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id: 4576518
{'charpoly_factorization': [[[37, -37, 1, 1], 1]], 'hecke_orbit_code': 180143985128382072, 'p': 67}
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id: 4576519
{'charpoly_factorization': [[[796, -148, -2, 1], 1]], 'hecke_orbit_code': 180143985128382072, 'p': 71}
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id: 4576520
{'charpoly_factorization': [[[-860, -156, 2, 1], 1]], 'hecke_orbit_code': 180143985128382072, 'p': 73}
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id: 4576521
{'charpoly_factorization': [[[-604, -52, 12, 1], 1]], 'hecke_orbit_code': 180143985128382072, 'p': 79}
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id: 4576522
{'charpoly_factorization': [[[859, -119, -7, 1], 1]], 'hecke_orbit_code': 180143985128382072, 'p': 83}
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id: 4576523
{'charpoly_factorization': [[[-2096, -160, 16, 1], 1]], 'hecke_orbit_code': 180143985128382072, 'p': 89}
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id: 4576524
{'charpoly_factorization': [[[8, -28, -10, 1], 1]], 'hecke_orbit_code': 180143985128382072, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 41, 'label': '7800.2.a.bo', 'level': 7800, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 273698000
{'hecke_orbit_code': 180143985128382072, 'n': 1, 'trace_an': 3}
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id: 273698001
{'hecke_orbit_code': 180143985128382072, 'n': 2, 'trace_an': 0}
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id: 273698002
{'hecke_orbit_code': 180143985128382072, 'n': 3, 'trace_an': 3}
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id: 273698003
{'hecke_orbit_code': 180143985128382072, 'n': 4, 'trace_an': 0}
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id: 273698004
{'hecke_orbit_code': 180143985128382072, 'n': 5, 'trace_an': 0}
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id: 273698005
{'hecke_orbit_code': 180143985128382072, 'n': 6, 'trace_an': 0}
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id: 273698006
{'hecke_orbit_code': 180143985128382072, 'n': 7, 'trace_an': -1}
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id: 273698007
{'hecke_orbit_code': 180143985128382072, 'n': 8, 'trace_an': 0}
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id: 273698008
{'hecke_orbit_code': 180143985128382072, 'n': 9, 'trace_an': 3}
-
id: 273698009
{'hecke_orbit_code': 180143985128382072, 'n': 10, 'trace_an': 0}
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id: 273698010
{'hecke_orbit_code': 180143985128382072, 'n': 11, 'trace_an': -3}
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id: 273698011
{'hecke_orbit_code': 180143985128382072, 'n': 12, 'trace_an': 0}
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id: 273698012
{'hecke_orbit_code': 180143985128382072, 'n': 13, 'trace_an': 3}
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id: 273698013
{'hecke_orbit_code': 180143985128382072, 'n': 14, 'trace_an': 0}
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id: 273698014
{'hecke_orbit_code': 180143985128382072, 'n': 15, 'trace_an': 0}
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id: 273698015
{'hecke_orbit_code': 180143985128382072, 'n': 16, 'trace_an': 0}
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id: 273698016
{'hecke_orbit_code': 180143985128382072, 'n': 17, 'trace_an': -5}
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id: 273698017
{'hecke_orbit_code': 180143985128382072, 'n': 18, 'trace_an': 0}
-
id: 273698018
{'hecke_orbit_code': 180143985128382072, 'n': 19, 'trace_an': -2}
-
id: 273698019
{'hecke_orbit_code': 180143985128382072, 'n': 20, 'trace_an': 0}
-
id: 273698020
{'hecke_orbit_code': 180143985128382072, 'n': 21, 'trace_an': -1}
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id: 273698021
{'hecke_orbit_code': 180143985128382072, 'n': 22, 'trace_an': 0}
-
id: 273698022
{'hecke_orbit_code': 180143985128382072, 'n': 23, 'trace_an': -4}
-
id: 273698023
{'hecke_orbit_code': 180143985128382072, 'n': 24, 'trace_an': 0}
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id: 273698024
{'hecke_orbit_code': 180143985128382072, 'n': 25, 'trace_an': 0}
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id: 273698025
{'hecke_orbit_code': 180143985128382072, 'n': 26, 'trace_an': 0}
-
id: 273698026
{'hecke_orbit_code': 180143985128382072, 'n': 27, 'trace_an': 3}
-
id: 273698027
{'hecke_orbit_code': 180143985128382072, 'n': 28, 'trace_an': 0}
-
id: 273698028
{'hecke_orbit_code': 180143985128382072, 'n': 29, 'trace_an': -1}
-
id: 273698029
{'hecke_orbit_code': 180143985128382072, 'n': 30, 'trace_an': 0}
-
id: 273698030
{'hecke_orbit_code': 180143985128382072, 'n': 31, 'trace_an': -11}
-
id: 273698031
{'hecke_orbit_code': 180143985128382072, 'n': 32, 'trace_an': 0}
-
id: 273698032
{'hecke_orbit_code': 180143985128382072, 'n': 33, 'trace_an': -3}
-
id: 273698033
{'hecke_orbit_code': 180143985128382072, 'n': 34, 'trace_an': 0}
-
id: 273698034
{'hecke_orbit_code': 180143985128382072, 'n': 35, 'trace_an': 0}
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id: 273698994
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id: 273698995
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id: 273698996
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id: 273698998
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