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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': 4, 'field_disc': 10304, 'field_disc_factorization': [[2, 6], [7, 1], [23, 1]], 'field_poly': [8, 8, -7, -2, 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, 0, 1]], [11, [8, -24, 6, 8, 1]], [17, [-224, 224, -44, -4, 1]], [19, [-448, -224, 12, 12, 1]]], 'hecke_orbit': 49, 'hecke_orbit_code': 216172782147346040, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], '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': '7800.2.a.bw', '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': '1560.2.l.e', 'nf_label': '4.4.10304.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+\\beta _{3}q^{7}+q^{9}+(-2-\\beta _{1})q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7800.2.a', 'trace_display': [0, 4, 0, 0], 'trace_hash': 829325259416582081, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.004', 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mf_hecke_nf • Show schema
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'weight': 2}
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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: 1365159
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 49, 'source_is_minimal': False, 'source_label': '7800.2.a.bw', 'source_level': 7800, 'target_char_orbit': 12, 'target_dim': 8, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '1560.2.l.e', 'target_level': 1560, 'twist_class_label': '1560.2.l.e', 'twist_class_level': 1560, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1365160
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 49, 'source_is_minimal': False, 'source_label': '7800.2.a.bw', 'source_level': 7800, 'target_char_orbit': 12, 'target_dim': 8, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '3120.2.l.o', 'target_level': 3120, 'twist_class_label': '1560.2.l.e', 'twist_class_level': 1560, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1365161
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 49, 'source_is_minimal': False, 'source_label': '7800.2.a.bw', 'source_level': 7800, 'target_char_orbit': 12, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '4680.2.l.f', 'target_level': 4680, 'twist_class_label': '1560.2.l.e', 'twist_class_level': 1560, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1365162
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 49, 'source_is_minimal': False, 'source_label': '7800.2.a.bw', 'source_level': 7800, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 48, 'target_is_minimal': False, 'target_label': '7800.2.a.bv', 'target_level': 7800, 'twist_class_label': '1560.2.l.e', 'twist_class_level': 1560, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1365163
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 49, 'source_is_minimal': False, 'source_label': '7800.2.a.bw', 'source_level': 7800, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 49, 'target_is_minimal': False, 'target_label': '7800.2.a.bw', 'target_level': 7800, 'twist_class_label': '1560.2.l.e', 'twist_class_level': 1560, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4576700
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 216172782147346040, 'p': 2}
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id: 4576701
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 216172782147346040, 'p': 3}
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id: 4576702
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 216172782147346040, 'p': 5}
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id: 4576703
{'charpoly_factorization': [[[-8, 0, 1], 2]], 'hecke_orbit_code': 216172782147346040, 'p': 7}
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id: 4576704
{'charpoly_factorization': [[[8, -24, 6, 8, 1], 1]], 'hecke_orbit_code': 216172782147346040, 'p': 11}
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id: 4576705
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 216172782147346040, 'p': 13}
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id: 4576706
{'charpoly_factorization': [[[-224, 224, -44, -4, 1], 1]], 'hecke_orbit_code': 216172782147346040, 'p': 17}
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id: 4576707
{'charpoly_factorization': [[[-448, -224, 12, 12, 1], 1]], 'hecke_orbit_code': 216172782147346040, 'p': 19}
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id: 4576708
{'charpoly_factorization': [[[-224, 224, -44, -4, 1], 1]], 'hecke_orbit_code': 216172782147346040, 'p': 23}
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id: 4576709
{'charpoly_factorization': [[[-4, -4, 1], 2]], 'hecke_orbit_code': 216172782147346040, 'p': 29}
-
id: 4576710
{'charpoly_factorization': [[[-16, 8, 1], 2]], 'hecke_orbit_code': 216172782147346040, 'p': 31}
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id: 4576711
{'charpoly_factorization': [[[-16, -384, -48, 8, 1], 1]], 'hecke_orbit_code': 216172782147346040, 'p': 37}
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id: 4576712
{'charpoly_factorization': [[[-8, -56, -14, 4, 1], 1]], 'hecke_orbit_code': 216172782147346040, 'p': 41}
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id: 4576713
{'charpoly_factorization': [[[-512, 384, -68, -4, 1], 1]], 'hecke_orbit_code': 216172782147346040, 'p': 43}
-
id: 4576714
{'charpoly_factorization': [[[-1024, -512, -30, 12, 1], 1]], 'hecke_orbit_code': 216172782147346040, 'p': 47}
-
id: 4576715
{'charpoly_factorization': [[[496, -160, -80, 0, 1], 1]], 'hecke_orbit_code': 216172782147346040, 'p': 53}
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id: 4576716
{'charpoly_factorization': [[[8, -24, 6, 8, 1], 1]], 'hecke_orbit_code': 216172782147346040, 'p': 59}
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id: 4576717
{'charpoly_factorization': [[[-1472, 736, -44, -12, 1], 1]], 'hecke_orbit_code': 216172782147346040, 'p': 61}
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id: 4576718
{'charpoly_factorization': [[[-128, 64, 136, 24, 1], 1]], 'hecke_orbit_code': 216172782147346040, 'p': 67}
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id: 4576719
{'charpoly_factorization': [[[512, -576, -46, 12, 1], 1]], 'hecke_orbit_code': 216172782147346040, 'p': 71}
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id: 4576720
{'charpoly_factorization': [[[-5008, -768, 112, 24, 1], 1]], 'hecke_orbit_code': 216172782147346040, 'p': 73}
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id: 4576721
{'charpoly_factorization': [[[6272, -896, -132, 12, 1], 1]], 'hecke_orbit_code': 216172782147346040, 'p': 79}
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id: 4576722
{'charpoly_factorization': [[[-4384, -2448, -206, 12, 1], 1]], 'hecke_orbit_code': 216172782147346040, 'p': 83}
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id: 4576723
{'charpoly_factorization': [[[184, -1288, -190, 4, 1], 1]], 'hecke_orbit_code': 216172782147346040, 'p': 89}
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id: 4576724
{'charpoly_factorization': [[[-16, -384, -48, 8, 1], 1]], 'hecke_orbit_code': 216172782147346040, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 49, 'label': '7800.2.a.bw', '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: 276981000
{'hecke_orbit_code': 216172782147346040, 'n': 1, 'trace_an': 4}
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id: 276981001
{'hecke_orbit_code': 216172782147346040, 'n': 2, 'trace_an': 0}
-
id: 276981002
{'hecke_orbit_code': 216172782147346040, 'n': 3, 'trace_an': 4}
-
id: 276981003
{'hecke_orbit_code': 216172782147346040, 'n': 4, 'trace_an': 0}
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id: 276981004
{'hecke_orbit_code': 216172782147346040, 'n': 5, 'trace_an': 0}
-
id: 276981005
{'hecke_orbit_code': 216172782147346040, 'n': 6, 'trace_an': 0}
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id: 276981006
{'hecke_orbit_code': 216172782147346040, 'n': 7, 'trace_an': 0}
-
id: 276981007
{'hecke_orbit_code': 216172782147346040, 'n': 8, 'trace_an': 0}
-
id: 276981008
{'hecke_orbit_code': 216172782147346040, 'n': 9, 'trace_an': 4}
-
id: 276981009
{'hecke_orbit_code': 216172782147346040, 'n': 10, 'trace_an': 0}
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id: 276981010
{'hecke_orbit_code': 216172782147346040, 'n': 11, 'trace_an': -8}
-
id: 276981011
{'hecke_orbit_code': 216172782147346040, 'n': 12, 'trace_an': 0}
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id: 276981012
{'hecke_orbit_code': 216172782147346040, 'n': 13, 'trace_an': -4}
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id: 276981013
{'hecke_orbit_code': 216172782147346040, 'n': 14, 'trace_an': 0}
-
id: 276981014
{'hecke_orbit_code': 216172782147346040, 'n': 15, 'trace_an': 0}
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id: 276981015
{'hecke_orbit_code': 216172782147346040, 'n': 16, 'trace_an': 0}
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id: 276981016
{'hecke_orbit_code': 216172782147346040, 'n': 17, 'trace_an': 4}
-
id: 276981017
{'hecke_orbit_code': 216172782147346040, 'n': 18, 'trace_an': 0}
-
id: 276981018
{'hecke_orbit_code': 216172782147346040, 'n': 19, 'trace_an': -12}
-
id: 276981019
{'hecke_orbit_code': 216172782147346040, 'n': 20, 'trace_an': 0}
-
id: 276981020
{'hecke_orbit_code': 216172782147346040, 'n': 21, 'trace_an': 0}
-
id: 276981021
{'hecke_orbit_code': 216172782147346040, 'n': 22, 'trace_an': 0}
-
id: 276981022
{'hecke_orbit_code': 216172782147346040, 'n': 23, 'trace_an': 4}
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id: 276981023
{'hecke_orbit_code': 216172782147346040, 'n': 24, 'trace_an': 0}
-
id: 276981024
{'hecke_orbit_code': 216172782147346040, 'n': 25, 'trace_an': 0}
-
id: 276981025
{'hecke_orbit_code': 216172782147346040, 'n': 26, 'trace_an': 0}
-
id: 276981026
{'hecke_orbit_code': 216172782147346040, 'n': 27, 'trace_an': 4}
-
id: 276981027
{'hecke_orbit_code': 216172782147346040, 'n': 28, 'trace_an': 0}
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{'hecke_orbit_code': 216172782147346040, 'n': 989, 'trace_an': -48}
-
id: 276981989
{'hecke_orbit_code': 216172782147346040, 'n': 990, 'trace_an': 0}
-
id: 276981990
{'hecke_orbit_code': 216172782147346040, 'n': 991, 'trace_an': 96}
-
id: 276981991
{'hecke_orbit_code': 216172782147346040, 'n': 992, 'trace_an': 0}
-
id: 276981992
{'hecke_orbit_code': 216172782147346040, 'n': 993, 'trace_an': 28}
-
id: 276981993
{'hecke_orbit_code': 216172782147346040, 'n': 994, 'trace_an': 0}
-
id: 276981994
{'hecke_orbit_code': 216172782147346040, 'n': 995, 'trace_an': 0}
-
id: 276981995
{'hecke_orbit_code': 216172782147346040, 'n': 996, 'trace_an': 0}
-
id: 276981996
{'hecke_orbit_code': 216172782147346040, 'n': 997, 'trace_an': -52}
-
id: 276981997
{'hecke_orbit_code': 216172782147346040, 'n': 998, 'trace_an': 0}
-
id: 276981998
{'hecke_orbit_code': 216172782147346040, 'n': 999, 'trace_an': -8}
-
id: 276981999
{'hecke_orbit_code': 216172782147346040, 'n': 1000, 'trace_an': 0}