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{'Nk2': 31200, 'analytic_conductor': 62.2833135765987, 'analytic_rank': 0, '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': 568, 'field_disc_factorization': [[2, 3], [71, 1]], 'field_poly': [-2, -6, -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, [8, -5, -2, 1]], [11, [80, -29, -2, 1]], [17, [4, -7, -2, 1]], [19, [100, -40, -3, 1]]], 'hecke_orbit': 39, 'hecke_orbit_code': 171136785873641080, 'hecke_ring_generator_nbound': 7, '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.bm', '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.bm', 'nf_label': '3.3.568.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}+(1-\\beta _{1})q^{7}+q^{9}+(1+\\beta _{1}+2\\beta _{2})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, 2], 'trace_hash': 528265360816727415, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.189', 'prec': 17}, 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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_cc • Show schema
Hide schema
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id: 48910827
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 171136785873641080, 'source_is_minimal': True, 'source_label': '7800.2.a.bm.1.2', 'source_level': 7800, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 171136785873641080, 'target_is_minimal': True, 'target_label': '7800.2.a.bm.1.2', 'target_level': 7800, 'twist_class_label': '7800.2.a.bm.1.2', 'twist_class_level': 7800, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48910828
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 171136785873641080, 'source_is_minimal': True, 'source_label': '7800.2.a.bm.1.2', 'source_level': 7800, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 175640385501011576, 'target_is_minimal': True, 'target_label': '7800.2.a.bn.1.2', 'target_level': 7800, 'twist_class_label': '7800.2.a.bm.1.2', 'twist_class_level': 7800, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4576450
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 171136785873641080, 'p': 2}
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id: 4576451
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 171136785873641080, 'p': 3}
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id: 4576452
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 171136785873641080, 'p': 5}
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id: 4576453
{'charpoly_factorization': [[[8, -5, -2, 1], 1]], 'hecke_orbit_code': 171136785873641080, 'p': 7}
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id: 4576454
{'charpoly_factorization': [[[80, -29, -2, 1], 1]], 'hecke_orbit_code': 171136785873641080, 'p': 11}
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id: 4576455
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 171136785873641080, 'p': 13}
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id: 4576456
{'charpoly_factorization': [[[4, -7, -2, 1], 1]], 'hecke_orbit_code': 171136785873641080, 'p': 17}
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id: 4576457
{'charpoly_factorization': [[[100, -40, -3, 1], 1]], 'hecke_orbit_code': 171136785873641080, 'p': 19}
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id: 4576458
{'charpoly_factorization': [[[64, -20, -4, 1], 1]], 'hecke_orbit_code': 171136785873641080, 'p': 23}
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id: 4576459
{'charpoly_factorization': [[[1, -33, -1, 1], 1]], 'hecke_orbit_code': 171136785873641080, 'p': 29}
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id: 4576460
{'charpoly_factorization': [[[100, 35, -14, 1], 1]], 'hecke_orbit_code': 171136785873641080, 'p': 31}
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id: 4576461
{'charpoly_factorization': [[[-20, -24, -1, 1], 1]], 'hecke_orbit_code': 171136785873641080, 'p': 37}
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id: 4576462
{'charpoly_factorization': [[[64, -16, -5, 1], 1]], 'hecke_orbit_code': 171136785873641080, 'p': 41}
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id: 4576463
{'charpoly_factorization': [[[8, -28, -6, 1], 1]], 'hecke_orbit_code': 171136785873641080, 'p': 43}
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id: 4576464
{'charpoly_factorization': [[[-59, -11, 5, 1], 1]], 'hecke_orbit_code': 171136785873641080, 'p': 47}
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id: 4576465
{'charpoly_factorization': [[[-11, 35, 15, 1], 1]], 'hecke_orbit_code': 171136785873641080, 'p': 53}
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id: 4576466
{'charpoly_factorization': [[[670, -97, -8, 1], 1]], 'hecke_orbit_code': 171136785873641080, 'p': 59}
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id: 4576467
{'charpoly_factorization': [[[664, 17, -18, 1], 1]], 'hecke_orbit_code': 171136785873641080, 'p': 61}
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id: 4576468
{'charpoly_factorization': [[[61, -187, -3, 1], 1]], 'hecke_orbit_code': 171136785873641080, 'p': 67}
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id: 4576469
{'charpoly_factorization': [[[-236, 152, -23, 1], 1]], 'hecke_orbit_code': 171136785873641080, 'p': 71}
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id: 4576470
{'charpoly_factorization': [[[-80, -12, 8, 1], 1]], 'hecke_orbit_code': 171136785873641080, 'p': 73}
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id: 4576471
{'charpoly_factorization': [[[284, -112, -7, 1], 1]], 'hecke_orbit_code': 171136785873641080, 'p': 79}
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id: 4576472
{'charpoly_factorization': [[[-170, -41, 8, 1], 1]], 'hecke_orbit_code': 171136785873641080, 'p': 83}
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id: 4576473
{'charpoly_factorization': [[[-128, -32, 14, 1], 1]], 'hecke_orbit_code': 171136785873641080, 'p': 89}
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id: 4576474
{'charpoly_factorization': [[[272, -300, 0, 1], 1]], 'hecke_orbit_code': 171136785873641080, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 39, 'label': '7800.2.a.bm', '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: 272580000
{'hecke_orbit_code': 171136785873641080, 'n': 1, 'trace_an': 3}
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id: 272580001
{'hecke_orbit_code': 171136785873641080, 'n': 2, 'trace_an': 0}
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id: 272580002
{'hecke_orbit_code': 171136785873641080, 'n': 3, 'trace_an': -3}
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id: 272580003
{'hecke_orbit_code': 171136785873641080, 'n': 4, 'trace_an': 0}
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id: 272580004
{'hecke_orbit_code': 171136785873641080, 'n': 5, 'trace_an': 0}
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id: 272580005
{'hecke_orbit_code': 171136785873641080, 'n': 6, 'trace_an': 0}
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id: 272580006
{'hecke_orbit_code': 171136785873641080, 'n': 7, 'trace_an': 2}
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id: 272580007
{'hecke_orbit_code': 171136785873641080, 'n': 8, 'trace_an': 0}
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id: 272580008
{'hecke_orbit_code': 171136785873641080, 'n': 9, 'trace_an': 3}
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id: 272580009
{'hecke_orbit_code': 171136785873641080, 'n': 10, 'trace_an': 0}
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id: 272580010
{'hecke_orbit_code': 171136785873641080, 'n': 11, 'trace_an': 2}
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id: 272580011
{'hecke_orbit_code': 171136785873641080, 'n': 12, 'trace_an': 0}
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id: 272580012
{'hecke_orbit_code': 171136785873641080, 'n': 13, 'trace_an': 3}
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id: 272580013
{'hecke_orbit_code': 171136785873641080, 'n': 14, 'trace_an': 0}
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id: 272580014
{'hecke_orbit_code': 171136785873641080, 'n': 15, 'trace_an': 0}
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id: 272580015
{'hecke_orbit_code': 171136785873641080, 'n': 16, 'trace_an': 0}
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id: 272580016
{'hecke_orbit_code': 171136785873641080, 'n': 17, 'trace_an': 2}
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id: 272580017
{'hecke_orbit_code': 171136785873641080, 'n': 18, 'trace_an': 0}
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id: 272580018
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