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{'Nk2': 13524, 'analytic_conductor': 26.9974209233949, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [7, -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': [3381, 1, [2255, 346, 442], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 24197, 'field_disc_factorization': [[24197, 1]], 'field_poly': [2, -1, -6, 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': [[2, [2, 1, -6, 0, 1]], [5, [8, -14, -1, 5, 1]], [11, [-68, -65, -9, 5, 1]], [13, [-236, -152, -11, 7, 1]]], 'hecke_orbit': 23, 'hecke_orbit_code': 99079191835708725, 'hecke_ring_generator_nbound': 2, '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': False, 'label': '3381.2.a.w', 'level': 3381, '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, 7, 23], 'level_radical': 483, 'minimal_twist': '483.2.a.i', 'nf_label': '4.4.24197.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{2}+q^{3}+(1+\\beta _{2})q^{4}+(-1+\\beta _{3})q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3381.2.a', 'trace_display': [0, 4, -5, 0], 'trace_hash': 1592363565030691520, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.891', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '42.264', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '707.191', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.007', 'prec': 17}, 'traces': [4, 0, 4, 4, -5, 0, 0, -3, 4, -4, -5, 4, -7, 0, -5, 8, -12, 0, -3, 1, 0, -1, -4, -3, 7, -5, 4, 0, 6, -4, -4, -6, -5, 9, 0, 4, 20, -23, -7, -21, -3, 0, 9, -27, -5, 0, -7, 8, 0, 3, -12, -38, -6, 0, 21, 0, -3, -7, 2, 1, -24, 9, 0, -21, -14, -1, 1, 13, -4, 0, -17, -3, -16, -33, 7, 25, 0, -5, -10, -6, 4, 7, -8, 0, 17, -35, 6, -12, 3, -4, 0, -4, -4, -8, -3, -6, 2, 0, -5, -36, 14, 9, -7, 23, 0, -14, -31, 4, 19, 28, 20, 0, -27, -23, 5, 25, -7, 76, 0, -21, -1, -27, -3, 21, -48, 0, -4, 2, 9, 43, -29, -27, 0, -36, -5, 16, 33, 0, -35, 0, -7, 5, 17, 8, -39, 7, 0, 1, -9, 3, -21, -14, -12, 0, 7, -38, -13, 17, -6, 43, 0, 0, 14, -37, 21, 5, -1, 0, 19, -22, 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-
mf_newspaces • Show schema
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{'ALdims': [16, 20, 22, 16, 19, 15, 18, 24], 'Nk2': 13524, 'analytic_conductor': 26.9974209233949, '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': [3381, 1, [2255, 346, 442], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 433, 'dim': 150, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5, 11, 13], 'hecke_orbit_code': 33557813, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 5, 5, 6, 6, 6, 6, 8, 8, 10, 10, 10, 10, 10, 10], 'label': '3381.2.a', 'level': 3381, '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, 7, 23], 'level_radical': 483, 'mf_dim': 464, 'mf_new_dim': 150, 'num_forms': 38, 'plus_dim': 65, 'prim_orbit_index': 1, 'relative_dim': 150, 'sturm_bound': 896, 'trace_bound': 11, 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0, -96, -208, 0, 192, 0, -8, 108, 120, 226, -24, 0, 0, 324, -136, 136, -28, 160, -28, 0, 304, -132, 56, -212, 24, 132, 0, 24, 20, 12, 4, 156, 224, 0, -408, 64, 32, 52, 20, -96, 0, 204, 80, 96, 144, -20, 84, 0, -64, 104, 64, 4, 16, 168, 0, -576, 168, -148, -428, -68, 36, 0, -80, 20, 352, 792, -112, -40, 0, 316, 10, 256, 48, -324, -376, 0, 140, 846, -80, 184, -96, -2, 0, 272, 8, -52, 240, -96, 208, 0, -24, 48, -104, -132, -224, -88, 0, 112, 28, 72, -156, -24, 48, 0, 24, 216, -132, 24, 20, -176], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48431154
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 99079191835708725, 'source_is_minimal': False, 'source_label': '3381.2.a.w.1.4', 'source_level': 3381, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 99079191835708725, 'target_is_minimal': False, 'target_label': '3381.2.a.w.1.4', 'target_level': 3381, 'twist_class_label': '483.2.a.i.1.4', 'twist_class_level': 483, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48431155
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 99079191835708725, 'source_is_minimal': False, 'source_label': '3381.2.a.w.1.4', 'source_level': 3381, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 36028797052518883, 'target_is_minimal': True, 'target_label': '483.2.a.i.1.4', 'target_level': 483, 'twist_class_label': '483.2.a.i.1.4', 'twist_class_level': 483, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 48431156
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 99079191835708725, 'source_is_minimal': False, 'source_label': '3381.2.a.w.1.4', 'source_level': 3381, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67553994444113321, 'target_is_minimal': False, 'target_label': '1449.2.a.p.1.1', 'target_level': 1449, 'twist_class_label': '483.2.a.i.1.4', 'twist_class_level': 483, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 48431157
{'conductor': 28, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 99079191835708725, 'source_is_minimal': False, 'source_label': '3381.2.a.w.1.4', 'source_level': 3381, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 247697979538939440, 'target_is_minimal': False, 'target_label': '7728.2.a.cd.1.3', 'target_level': 7728, 'twist_class_label': '483.2.a.i.1.4', 'twist_class_level': 483, 'twisting_char_label': '28.27', 'twisting_conrey_index': 27, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3152200
{'charpoly_factorization': [[[2, 1, -6, 0, 1], 1]], 'hecke_orbit_code': 99079191835708725, 'p': 2}
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id: 3152201
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 99079191835708725, 'p': 3}
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id: 3152202
{'charpoly_factorization': [[[8, -14, -1, 5, 1], 1]], 'hecke_orbit_code': 99079191835708725, 'p': 5}
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id: 3152203
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 99079191835708725, 'p': 7}
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id: 3152204
{'charpoly_factorization': [[[-68, -65, -9, 5, 1], 1]], 'hecke_orbit_code': 99079191835708725, 'p': 11}
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id: 3152205
{'charpoly_factorization': [[[-236, -152, -11, 7, 1], 1]], 'hecke_orbit_code': 99079191835708725, 'p': 13}
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id: 3152206
{'charpoly_factorization': [[[-104, -10, 37, 12, 1], 1]], 'hecke_orbit_code': 99079191835708725, 'p': 17}
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id: 3152207
{'charpoly_factorization': [[[52, -51, -37, 3, 1], 1]], 'hecke_orbit_code': 99079191835708725, 'p': 19}
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id: 3152208
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 99079191835708725, 'p': 23}
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id: 3152209
{'charpoly_factorization': [[[-436, 264, -31, -6, 1], 1]], 'hecke_orbit_code': 99079191835708725, 'p': 29}
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id: 3152210
{'charpoly_factorization': [[[-16, -46, -11, 4, 1], 1]], 'hecke_orbit_code': 99079191835708725, 'p': 31}
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id: 3152211
{'charpoly_factorization': [[[-1868, 280, 91, -20, 1], 1]], 'hecke_orbit_code': 99079191835708725, 'p': 37}
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id: 3152212
{'charpoly_factorization': [[[-34, -71, -27, 3, 1], 1]], 'hecke_orbit_code': 99079191835708725, 'p': 41}
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id: 3152213
{'charpoly_factorization': [[[272, 184, -39, -9, 1], 1]], 'hecke_orbit_code': 99079191835708725, 'p': 43}
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id: 3152214
{'charpoly_factorization': [[[-32, -28, 6, 7, 1], 1]], 'hecke_orbit_code': 99079191835708725, 'p': 47}
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id: 3152215
{'charpoly_factorization': [[[-202, -249, -68, 6, 1], 1]], 'hecke_orbit_code': 99079191835708725, 'p': 53}
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id: 3152216
{'charpoly_factorization': [[[17564, 263, -278, -2, 1], 1]], 'hecke_orbit_code': 99079191835708725, 'p': 59}
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id: 3152217
{'charpoly_factorization': [[[-1286, 191, 172, 24, 1], 1]], 'hecke_orbit_code': 99079191835708725, 'p': 61}
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id: 3152218
{'charpoly_factorization': [[[4208, -24, -141, -1, 1], 1]], 'hecke_orbit_code': 99079191835708725, 'p': 67}
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id: 3152219
{'charpoly_factorization': [[[64, 128, 79, 17, 1], 1]], 'hecke_orbit_code': 99079191835708725, 'p': 71}
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id: 3152220
{'charpoly_factorization': [[[-6656, -2270, -95, 16, 1], 1]], 'hecke_orbit_code': 99079191835708725, 'p': 73}
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id: 3152221
{'charpoly_factorization': [[[128, -214, -17, 10, 1], 1]], 'hecke_orbit_code': 99079191835708725, 'p': 79}
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id: 3152222
{'charpoly_factorization': [[[-7256, -2450, -195, 8, 1], 1]], 'hecke_orbit_code': 99079191835708725, 'p': 83}
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id: 3152223
{'charpoly_factorization': [[[-92, -380, -113, -3, 1], 1]], 'hecke_orbit_code': 99079191835708725, 'p': 89}
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id: 3152224
{'charpoly_factorization': [[[4, 356, -87, -2, 1], 1]], 'hecke_orbit_code': 99079191835708725, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 23, 'label': '3381.2.a.w', 'level': 3381, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 65389561
{'hecke_orbit_code': 99079191835708725, 'n': 1, 'trace_an': 4}
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id: 65389562
{'hecke_orbit_code': 99079191835708725, 'n': 2, 'trace_an': 0}
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id: 65389563
{'hecke_orbit_code': 99079191835708725, 'n': 3, 'trace_an': 4}
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id: 65389564
{'hecke_orbit_code': 99079191835708725, 'n': 4, 'trace_an': 4}
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id: 65389565
{'hecke_orbit_code': 99079191835708725, 'n': 5, 'trace_an': -5}
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id: 65389566
{'hecke_orbit_code': 99079191835708725, 'n': 6, 'trace_an': 0}
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id: 65389567
{'hecke_orbit_code': 99079191835708725, 'n': 7, 'trace_an': 0}
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id: 65389568
{'hecke_orbit_code': 99079191835708725, 'n': 8, 'trace_an': -3}
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id: 65389569
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