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{'Nk2': 31740, 'analytic_conductor': 63.36129400388599, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, -1], [23, -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': [7935, 1, [5291, 4762, 7411], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 73, 'field_disc_factorization': [[73, 1]], 'field_poly': [-18, -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': [[2, [0, 1]], [7, [-18, -1, 1]], [11, [-18, -1, 1]]], 'hecke_orbit': 19, 'hecke_orbit_code': 81064793326231295, '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '7935.2.a.s', 'level': 7935, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 23], 'level_radical': 345, 'minimal_twist': '7935.2.a.r', 'nf_label': '2.2.73.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}-2q^{4}+q^{5}+\\beta q^{7}+q^{9}+(1+\\cdots)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': '7935.2.a', 'trace_display': [0, 2, 2, 1], 'trace_hash': 182631230798215738, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.977', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [1, 0], [-2, 0], [1, 0], [0, 0], [0, 1], [0, 0], [1, 0], [0, 0], [1, -1], [-2, 0], [0, -1], [0, 0], [1, 0], [4, 0], [6, 0], [0, 0], [-1, -1], [-2, 0], [0, 1], [0, 0], [0, 0], [0, 0], [1, 0], [0, 0], [1, 0], [0, -2], [6, 0], [0, 0], [1, 1], [0, 0], [1, -1], [0, 0], [0, 1], [-2, 0], [-6, 1], [0, 0], [0, -1], [0, 0], [-5, -1], [0, 0], [2, -1], [-2, 2], [1, 0], [0, 0], [-2, 2], [4, 0], [11, 1], [0, 0], [6, 0], [0, 2], [-4, -2], [0, 0], [1, -1], [0, 0], [-1, -1], [0, 0], [0, 0], [-2, 0], [-1, 2], [0, 0], [0, 1], [-8, 0], [0, -1], [0, 0], [8, -1], [-12, 0], [0, 0], [0, 0], [5, 1], [0, 0], [2, 0], [0, 0], [1, 0], [2, 2], [-18, 0], [0, 0], [9, 1], [4, 0], [1, 0], [0, 0], [4, 2], [0, -2], [6, 0], [0, 0], [6, 0], [0, 0], [2, -2], [0, 0], [-18, -1], [0, 0], [1, 1], [0, 0], [-1, -1], [0, 0], [8, 2], [0, 0], [1, -1], [-2, 0]], 'ap': [[0, 0], [1, 0], [1, 0], [0, 1], [1, -1], [0, -1], [6, 0], [-1, -1], [0, 0], [6, 0], [1, 1], [-6, 1], [-5, -1], [2, -1], [-2, 2], [-4, -2], [0, 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7], [20, 0], [9, 15]], 'char_orbit_index': 1, 'field_poly': [-18, -1, 1], 'hecke_orbit_code': 81064793326231295, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '7935.2.a.s', 'level': 7935, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [41, 44, 51, 33, 43, 40, 33, 51], 'Nk2': 31740, 'analytic_conductor': 63.36129400388599, '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': [7935, 1, [5291, 4762, 7411], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1057, 'dim': 336, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7, 11], 'hecke_orbit_code': 33562367, 'hecke_orbit_dims': [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, 4, 4, 5, 5, 6, 6, 6, 6, 8, 8, 10, 10, 12, 12, 15, 15, 15, 15, 16, 16, 25, 25, 25, 25], 'label': '7935.2.a', 'level': 7935, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 23], 'level_radical': 345, 'mf_dim': 1152, 'mf_new_dim': 336, 'num_forms': 49, 'plus_dim': 147, 'prim_orbit_index': 1, 'relative_dim': 336, 'sturm_bound': 2208, 'trace_bound': 7, 'trace_display': [4, -2, 0, 0], 'traces': [336, 4, -2, 340, 0, 2, 0, 12, 336, 4, 16, -6, -8, -8, 2, 340, 0, 4, 8, -8, -8, -8, 0, -6, 336, 24, -2, 8, 16, 2, 16, 28, 0, -24, 8, 340, 16, 8, -4, 12, 24, 0, 8, 24, 0, 0, 16, 2, 328, 4, 12, -32, -8, 2, 0, -32, -16, 24, 0, 6, -16, -32, 0, 348, 16, 16, 8, 24, 0, -24, 24, 12, 8, 0, -2, 0, -40, -28, 8, 0, 336, 32, -8, -8, 8, 0, -20, 16, 8, 4, -32, 0, -16, 24, 0, -30, 0, 44, 16, 340, 16, 36, -8, 88, 0, 16, 16, -6, -8, -24, 4, 64, 56, 24, 0, 64, -8, -8, -8, -6, 376, -64, -12, 40, 0, -8, -48, 4, -16, 8, 8, -8, -8, -64, 2, -48, 24, 0, 40, 0, 24, 16, -40, 340, 24, -120, -18, 48, 16, 2, 8, -64, 0, -32, 0, 44, 8, -64, -28, 28, 0, 4, -56, 16, 0, 40, 8, 72, 384, 24, 8, 32, 88, 36, 0, -16, 32, 8, 40, -8, 88, -8, 4, 0, 16, 24, 64, -80, -8, -16, -96, 74, 16, 16, 4, 316, 72, -8, 0, 12, -24, 80, 48, 12, 8, -112, 0, -136, 32, 16, 24, -24, 8, 32, 24, -6, -88, -32, 20, 24, 72, 20, -48, 8, 336, 32, -88, -32, -40, 0, 32, 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-48, 36, 80, 0, 96, 8, 200, 200, 16, -2008, -8, -2016, -136, 56, 56, -2064, -32, -224, -48, 88, 144, -2008, 28, 16, 16, -12, 0, 64, 0, -1696, 152, 56, -224, 8, -12, 256, -128, 16, 24, -1864, 144, 200, 112, 38, 376, 104, 16, 304, 48, 0, -48, -1932, 72, 64, -48, -6, -96, 72, -4, 152, 48, 64, 176, -168, -8, -1680, -24, 204, 0, 40, 56, 80, 0, -24, 232, 80, 88, 56, 64, -128, -240, -1880, 4, 12], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1370015
{'conductor': 23, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 19, 'source_is_minimal': True, 'source_label': '7935.2.a.s', 'source_level': 7935, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 18, 'target_is_minimal': True, 'target_label': '7935.2.a.r', 'target_level': 7935, 'twist_class_label': '7935.2.a.r', 'twist_class_level': 7935, 'twisting_char_label': '23.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1370016
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 19, 'source_is_minimal': True, 'source_label': '7935.2.a.s', 'source_level': 7935, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 19, 'target_is_minimal': True, 'target_label': '7935.2.a.s', 'target_level': 7935, 'twist_class_label': '7935.2.a.r', 'twist_class_level': 7935, '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: 4612400
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 81064793326231295, 'p': 2}
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id: 4612401
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 81064793326231295, 'p': 3}
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id: 4612402
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 81064793326231295, 'p': 5}
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id: 4612403
{'charpoly_factorization': [[[-18, -1, 1], 1]], 'hecke_orbit_code': 81064793326231295, 'p': 7}
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id: 4612404
{'charpoly_factorization': [[[-18, -1, 1], 1]], 'hecke_orbit_code': 81064793326231295, 'p': 11}
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id: 4612405
{'charpoly_factorization': [[[-18, 1, 1], 1]], 'hecke_orbit_code': 81064793326231295, 'p': 13}
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id: 4612406
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 81064793326231295, 'p': 17}
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id: 4612407
{'charpoly_factorization': [[[-16, 3, 1], 1]], 'hecke_orbit_code': 81064793326231295, 'p': 19}
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id: 4612408
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 81064793326231295, 'p': 23}
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id: 4612409
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 81064793326231295, 'p': 29}
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id: 4612410
{'charpoly_factorization': [[[-16, -3, 1], 1]], 'hecke_orbit_code': 81064793326231295, 'p': 31}
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id: 4612411
{'charpoly_factorization': [[[12, 11, 1], 1]], 'hecke_orbit_code': 81064793326231295, 'p': 37}
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id: 4612412
{'charpoly_factorization': [[[12, 11, 1], 1]], 'hecke_orbit_code': 81064793326231295, 'p': 41}
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id: 4612413
{'charpoly_factorization': [[[-16, -3, 1], 1]], 'hecke_orbit_code': 81064793326231295, 'p': 43}
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id: 4612414
{'charpoly_factorization': [[[-72, 2, 1], 1]], 'hecke_orbit_code': 81064793326231295, 'p': 47}
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id: 4612415
{'charpoly_factorization': [[[-48, 10, 1], 1]], 'hecke_orbit_code': 81064793326231295, 'p': 53}
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id: 4612416
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 81064793326231295, 'p': 59}
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id: 4612417
{'charpoly_factorization': [[[-73, 0, 1], 1]], 'hecke_orbit_code': 81064793326231295, 'p': 61}
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id: 4612418
{'charpoly_factorization': [[[38, -15, 1], 1]], 'hecke_orbit_code': 81064793326231295, 'p': 67}
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id: 4612419
{'charpoly_factorization': [[[12, -11, 1], 1]], 'hecke_orbit_code': 81064793326231295, 'p': 71}
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id: 4612420
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 81064793326231295, 'p': 73}
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id: 4612421
{'charpoly_factorization': [[[72, -19, 1], 1]], 'hecke_orbit_code': 81064793326231295, 'p': 79}
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id: 4612422
{'charpoly_factorization': [[[-48, -10, 1], 1]], 'hecke_orbit_code': 81064793326231295, 'p': 83}
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id: 4612423
{'charpoly_factorization': [[[-72, -2, 1], 1]], 'hecke_orbit_code': 81064793326231295, 'p': 89}
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id: 4612424
{'charpoly_factorization': [[[8, -18, 1], 1]], 'hecke_orbit_code': 81064793326231295, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 19, 'label': '7935.2.a.s', 'level': 7935, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 63268027
{'hecke_orbit_code': 81064793326231295, 'n': 1, 'trace_an': 2}
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id: 63268028
{'hecke_orbit_code': 81064793326231295, 'n': 2, 'trace_an': 0}
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id: 63268029
{'hecke_orbit_code': 81064793326231295, 'n': 3, 'trace_an': 2}
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id: 63268030
{'hecke_orbit_code': 81064793326231295, 'n': 4, 'trace_an': -4}
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id: 63268031
{'hecke_orbit_code': 81064793326231295, 'n': 5, 'trace_an': 2}
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