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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': 940, 'field_disc_factorization': [[2, 2], [5, 1], [47, 1]], 'field_poly': [-4, -7, 0, 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, [-40, -20, 1, 1]], [11, [32, -8, -5, 1]], [17, [-356, -52, 7, 1]], [19, [16, -16, -6, 1]]], 'hecke_orbit': 35, 'hecke_orbit_code': 153122387364159096, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], '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.bi', '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.a.q', 'nf_label': '3.3.940.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}-\\beta _{2}q^{7}+q^{9}+(2+\\beta _{1})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': 1978121289346316005, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.958', '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], [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: 1365116
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 35, 'source_is_minimal': False, 'source_label': '7800.2.a.bi', 'source_level': 7800, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 17, 'target_is_minimal': True, 'target_label': '1560.2.a.q', 'target_level': 1560, 'twist_class_label': '1560.2.a.q', 'twist_class_level': 1560, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1365117
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 35, 'source_is_minimal': False, 'source_label': '7800.2.a.bi', 'source_level': 7800, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 35, 'target_is_minimal': False, 'target_label': '3120.2.a.bi', 'target_level': 3120, 'twist_class_label': '1560.2.a.q', 'twist_class_level': 1560, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1365118
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 35, 'source_is_minimal': False, 'source_label': '7800.2.a.bi', 'source_level': 7800, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 34, 'target_is_minimal': False, 'target_label': '4680.2.a.bh', 'target_level': 4680, 'twist_class_label': '1560.2.a.q', 'twist_class_level': 1560, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1365119
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 35, 'source_is_minimal': False, 'source_label': '7800.2.a.bi', 'source_level': 7800, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 35, 'target_is_minimal': False, 'target_label': '7800.2.a.bi', 'target_level': 7800, 'twist_class_label': '1560.2.a.q', 'twist_class_level': 1560, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1365120
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 35, 'source_is_minimal': False, 'source_label': '7800.2.a.bi', 'source_level': 7800, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 77, 'target_is_minimal': False, 'target_label': '9360.2.a.cy', 'target_level': 9360, 'twist_class_label': '1560.2.a.q', 'twist_class_level': 1560, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4576350
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 153122387364159096, 'p': 2}
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id: 4576351
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 153122387364159096, 'p': 3}
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id: 4576352
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 153122387364159096, 'p': 5}
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id: 4576353
{'charpoly_factorization': [[[-40, -20, 1, 1], 1]], 'hecke_orbit_code': 153122387364159096, 'p': 7}
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id: 4576354
{'charpoly_factorization': [[[32, -8, -5, 1], 1]], 'hecke_orbit_code': 153122387364159096, 'p': 11}
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id: 4576355
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 153122387364159096, 'p': 13}
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id: 4576356
{'charpoly_factorization': [[[-356, -52, 7, 1], 1]], 'hecke_orbit_code': 153122387364159096, 'p': 17}
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id: 4576357
{'charpoly_factorization': [[[16, -16, -6, 1], 1]], 'hecke_orbit_code': 153122387364159096, 'p': 19}
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id: 4576358
{'charpoly_factorization': [[[40, -20, -1, 1], 1]], 'hecke_orbit_code': 153122387364159096, 'p': 23}
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id: 4576359
{'charpoly_factorization': [[[184, -12, -10, 1], 1]], 'hecke_orbit_code': 153122387364159096, 'p': 29}
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id: 4576360
{'charpoly_factorization': [[[-32, -64, -2, 1], 1]], 'hecke_orbit_code': 153122387364159096, 'p': 31}
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id: 4576361
{'charpoly_factorization': [[[-20, 24, 11, 1], 1]], 'hecke_orbit_code': 153122387364159096, 'p': 37}
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id: 4576362
{'charpoly_factorization': [[[4, -16, 1, 1], 1]], 'hecke_orbit_code': 153122387364159096, 'p': 41}
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id: 4576363
{'charpoly_factorization': [[[-256, -112, 0, 1], 1]], 'hecke_orbit_code': 153122387364159096, 'p': 43}
-
id: 4576364
{'charpoly_factorization': [[[256, -32, -10, 1], 1]], 'hecke_orbit_code': 153122387364159096, 'p': 47}
-
id: 4576365
{'charpoly_factorization': [[[-164, -112, 3, 1], 1]], 'hecke_orbit_code': 153122387364159096, 'p': 53}
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id: 4576366
{'charpoly_factorization': [[[1024, -160, -8, 1], 1]], 'hecke_orbit_code': 153122387364159096, 'p': 59}
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id: 4576367
{'charpoly_factorization': [[[-164, -112, 3, 1], 1]], 'hecke_orbit_code': 153122387364159096, 'p': 61}
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id: 4576368
{'charpoly_factorization': [[[640, -64, -12, 1], 1]], 'hecke_orbit_code': 153122387364159096, 'p': 67}
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id: 4576369
{'charpoly_factorization': [[[160, 104, 19, 1], 1]], 'hecke_orbit_code': 153122387364159096, 'p': 71}
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id: 4576370
{'charpoly_factorization': [[[328, 180, 26, 1], 1]], 'hecke_orbit_code': 153122387364159096, 'p': 73}
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id: 4576371
{'charpoly_factorization': [[[-160, 104, -19, 1], 1]], 'hecke_orbit_code': 153122387364159096, 'p': 79}
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id: 4576372
{'charpoly_factorization': [[[-320, -176, -4, 1], 1]], 'hecke_orbit_code': 153122387364159096, 'p': 83}
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id: 4576373
{'charpoly_factorization': [[[-20, 40, -13, 1], 1]], 'hecke_orbit_code': 153122387364159096, 'p': 89}
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id: 4576374
{'charpoly_factorization': [[[-1420, -156, 9, 1], 1]], 'hecke_orbit_code': 153122387364159096, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 35, 'label': '7800.2.a.bi', '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: 269773000
{'hecke_orbit_code': 153122387364159096, 'n': 1, 'trace_an': 3}
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id: 269773001
{'hecke_orbit_code': 153122387364159096, 'n': 2, 'trace_an': 0}
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id: 269773002
{'hecke_orbit_code': 153122387364159096, 'n': 3, 'trace_an': -3}
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id: 269773003
{'hecke_orbit_code': 153122387364159096, 'n': 4, 'trace_an': 0}
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id: 269773004
{'hecke_orbit_code': 153122387364159096, 'n': 5, 'trace_an': 0}
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id: 269773005
{'hecke_orbit_code': 153122387364159096, 'n': 6, 'trace_an': 0}
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id: 269773006
{'hecke_orbit_code': 153122387364159096, 'n': 7, 'trace_an': -1}
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id: 269773007
{'hecke_orbit_code': 153122387364159096, 'n': 8, 'trace_an': 0}
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id: 269773008
{'hecke_orbit_code': 153122387364159096, 'n': 9, 'trace_an': 3}
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id: 269773009
{'hecke_orbit_code': 153122387364159096, 'n': 10, 'trace_an': 0}
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id: 269773010
{'hecke_orbit_code': 153122387364159096, 'n': 11, 'trace_an': 5}
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id: 269773011
{'hecke_orbit_code': 153122387364159096, 'n': 12, 'trace_an': 0}
-
id: 269773012
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{'hecke_orbit_code': 153122387364159096, 'n': 975, 'trace_an': 0}
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id: 269773975
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id: 269773976
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id: 269773977
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id: 269773978
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id: 269773979
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id: 269773980
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id: 269773981
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id: 269773982
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id: 269773983
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id: 269773984
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id: 269773985
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id: 269773986
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id: 269773987
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id: 269773988
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id: 269773989
{'hecke_orbit_code': 153122387364159096, 'n': 990, 'trace_an': 0}
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id: 269773990
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id: 269773991
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id: 269773992
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id: 269773993
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id: 269773994
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id: 269773995
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id: 269773996
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id: 269773997
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id: 269773998
{'hecke_orbit_code': 153122387364159096, 'n': 999, 'trace_an': 11}
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id: 269773999
{'hecke_orbit_code': 153122387364159096, 'n': 1000, 'trace_an': 0}