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mf_newforms • Show schema
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{'Nk2': 1840, 'analytic_conductor': 6.785219650660171, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[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': [115, 1, [47, 51], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 5, 'field_disc': 354478812, 'field_disc_factorization': [[2, 2], [3, 1], [89, 1], [331909, 1]], 'field_poly': [92, 168, 7, -27, -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, [-44, 82, 72, -13, -6, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014398576590963, 'hecke_ring_generator_nbound': 3, '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': '115.4.a.e', 'level': 115, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [5, 23], 'level_radical': 115, 'minimal_twist': '115.4.a.e', 'prim_orbit_index': 1, 'qexp_display': 'q+(1+\\beta _{1})q^{2}+(1+\\beta _{1}-\\beta _{2}+\\beta _{3})q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 5, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '115.4.a', 'trace_display': [6, 4, -25, -3], 'trace_hash': 2181921772925786175, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.040', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.615', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.501', 'prec': 17}, {'__RealLiteral__': 0, 'data': '63.289', 'prec': 20}, 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, -1, 1, 0], [4, 3, -1, -1, 1], [-5, 0, 0, 0, 0], [5, 2, -3, 0, -2], [-2, 1, 3, 1, 0], [26, 5, -1, -3, 5], [16, 0, 0, 6, -3], [-5, -5, 0, 0, 0], [1, 2, 7, 4, 2], [11, 4, -1, 2, -10], [29, -6, -4, 0, 1], [18, -5, 1, -8, 6], [-5, -5, 5, -5, 0], [44, 19, 15, -7, 13], [10, -14, -2, -4, -9], [4, 4, -12, 3, -15], [-29, -11, 0, 5, -5], [-20, -15, 5, 5, -5], [-8, -11, -9, -5, 9], [35, -10, 5, -26, 18], [-23, 0, 0, 0, 0], [25, 0, -3, 26, -14], [25, 0, 0, 0, 0], [-55, 21, 4, 11, -11], [118, -8, -7, 4, 9], [-5, 15, 2, -15, 23], [93, -17, -21, 9, -5], [-25, -10, 15, 0, 10], [8, 14, -17, -8, 12], [100, 41, 37, -57, 55], [47, -45, -14, 7, 27], [-122, -8, -2, 49, -41], [10, -5, -15, -5, 0], [-107, 18, -49, 14, -44], [-7, 28, 11, 24, -53], [-155, -61, -4, 21, -31], [62, 22, 1, 46, 1], [-130, -25, 5, 15, -25], [-4, 67, -20, -9, -19], [-168, -11, 25, 7, 3], [-136, -10, 60, -6, 4], [-21, 46, 21, -60, 64], [-80, 0, 0, -30, 15], [-23, -23, 0, 0, 0], [188, -29, 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3166, 3131], [-2622, -7430, 368, -4570, 1186], [2344, -2130, 3664, -1882, -288], [919, 7345, -1643, 4219, -2549], [987, -3633, 1978, -2089, 2697], [19987, -710, -1903, 1464, -3384], [-1463, 6630, 2456, 2004, -2165], [-8463, -2696, 3403, 4878, -1194], [31052, 3223, 2122, 325, -1630], [-4095, -1464, 5071, -1510, -244], [10010, -411, -6067, 3025, -1262], [-2868, -4036, -4636, 1118, 2653], [-18998, -1064, 3656, -3110, 3637], [27568, -700, -1234, -164, -2790]], 'char_orbit_index': 1, 'field_poly': [92, 168, 7, -27, -1, 1], 'hecke_orbit_code': 18014398576590963, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 16, 8, 16], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0], [0, 1, 0, 0, 0], [11, 1, -1, -1, 1], [8, 15, 2, 0, 2], [169, 21, -11, -25, 23]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0], [0, 1, 0, 0, 0], [98, -11, -25, 1, 1], [-42, -41, 17, 3, -1], [-162, -109, 25, 7, -1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 5, 'label': '115.4.a.e', 'level': 115, 'maxp': 997, 'weight': 4}
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mf_newspaces • Show schema
Hide schema
{'AL_dims': [[[[5, -1], [23, 1]], 3, 2], [[[5, 1], [23, 1]], 5, 1], [[[5, -1], [23, -1]], 8, 1], [[[5, 1], [23, -1]], 6, 2]], 'ALdims': [5, 6, 3, 8], 'Nk2': 1840, 'analytic_conductor': 6.785219650660171, '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': [115, 1, [47, 51], [1, 1]], 'conrey_index': 1, 'cusp_dim': 34, 'dim': 22, 'eis_dim': 4, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 67108979, 'hecke_orbit_dims': [1, 1, 2, 5, 5, 8], 'label': '115.4.a', 'level': 115, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [5, 23], 'level_radical': 115, 'mf_dim': 38, 'mf_new_dim': 22, 'num_forms': 6, 'plus_dim': 13, 'prim_orbit_index': 1, 'relative_dim': 22, 'sturm_bound': 48, 'trace_bound': 2, 'trace_display': [4, -4, 0, -40], 'traces': [22, 4, -4, 88, 0, -10, -40, 42, 290, 0, -92, 46, 60, 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-507456, 188384, -343456, -17020, 207860, -282040, 138, 36952, 137428, -67640, 516316, 81068, -68478, -63304, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 100218
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '115.4.a.e', 'source_level': 115, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '115.4.a.e', 'target_level': 115, 'twist_class_label': '115.4.a.e', 'twist_class_level': 115, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 100219
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '115.4.a.e', 'source_level': 115, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '575.4.a.j', 'target_level': 575, 'twist_class_label': '115.4.a.e', 'twist_class_level': 115, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 100220
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '115.4.a.e', 'source_level': 115, 'target_char_orbit': 2, 'target_dim': 10, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '575.4.b.i', 'target_level': 575, 'twist_class_label': '115.4.a.e', 'twist_class_level': 115, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 100221
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '115.4.a.e', 'source_level': 115, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1035.4.a.k', 'target_level': 1035, 'twist_class_label': '115.4.a.e', 'twist_class_level': 115, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 100222
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '115.4.a.e', 'source_level': 115, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '1840.4.a.n', 'target_level': 1840, 'twist_class_label': '115.4.a.e', 'twist_class_level': 115, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 330350
{'charpoly_factorization': [[[-44, 82, 72, -13, -6, 1], 1]], 'hecke_orbit_code': 18014398576590963, 'p': 2}
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id: 330351
{'charpoly_factorization': [[[3680, 2536, 149, -98, -4, 1], 1]], 'hecke_orbit_code': 18014398576590963, 'p': 3}
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id: 330352
{'charpoly_factorization': [[[5, 1], 5]], 'hecke_orbit_code': 18014398576590963, 'p': 5}
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id: 330353
{'charpoly_factorization': [[[-144774, 34281, 1757, -484, 3, 1], 1]], 'hecke_orbit_code': 18014398576590963, 'p': 7}
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id: 330354
{'charpoly_factorization': [[[-74136848, 2725172, 110364, -4015, -23, 1], 1]], 'hecke_orbit_code': 18014398576590963, 'p': 11}
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id: 330355
{'charpoly_factorization': [[[1550116, -478108, -23267, 4786, -132, 1], 1]], 'hecke_orbit_code': 18014398576590963, 'p': 13}
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id: 330356
{'charpoly_factorization': [[[-1039045340, 41117297, 373053, -14632, -23, 1], 1]], 'hecke_orbit_code': 18014398576590963, 'p': 17}
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id: 330357
{'charpoly_factorization': [[[-801280, -461748, -29000, 3999, 161, 1], 1]], 'hecke_orbit_code': 18014398576590963, 'p': 19}
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id: 330358
{'charpoly_factorization': [[[23, 1], 5]], 'hecke_orbit_code': 18014398576590963, 'p': 23}
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id: 330359
{'charpoly_factorization': [[[-6149898500, -694056278, 7455469, 21037, -401, 1], 1]], 'hecke_orbit_code': 18014398576590963, 'p': 29}
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id: 330360
{'charpoly_factorization': [[[-438072447, -16359324, 1461539, -19809, -32, 1], 1]], 'hecke_orbit_code': 18014398576590963, 'p': 31}
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id: 330361
{'charpoly_factorization': [[[1590700778176, 10447474864, -21374140, -203847, 38, 1], 1]], 'hecke_orbit_code': 18014398576590963, 'p': 37}
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id: 330362
{'charpoly_factorization': [[[114116030755, 2764022726, -5417063, -179855, 12, 1], 1]], 'hecke_orbit_code': 18014398576590963, 'p': 41}
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id: 330363
{'charpoly_factorization': [[[504784881664, -1144677888, -38532704, -15080, 566, 1], 1]], 'hecke_orbit_code': 18014398576590963, 'p': 43}
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id: 330364
{'charpoly_factorization': [[[117787714816, -1323345536, -13884412, 236082, -919, 1], 1]], 'hecke_orbit_code': 18014398576590963, 'p': 47}
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id: 330365
{'charpoly_factorization': [[[5720332226904, -68273328852, 173281818, 207937, -1156, 1], 1]], 'hecke_orbit_code': 18014398576590963, 'p': 53}
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id: 330366
{'charpoly_factorization': [[[24279649927232, -340984500996, 869263410, -179991, -1324, 1], 1]], 'hecke_orbit_code': 18014398576590963, 'p': 59}
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id: 330367
{'charpoly_factorization': [[[-34095834816896, -231909558144, -357036812, 538609, 1673, 1], 1]], 'hecke_orbit_code': 18014398576590963, 'p': 61}
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id: 330368
{'charpoly_factorization': [[[5644442112, -150859824, -3348748, 87929, -558, 1], 1]], 'hecke_orbit_code': 18014398576590963, 'p': 67}
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id: 330369
{'charpoly_factorization': [[[15638892903635, 68461430962, -384080415, -1071379, 108, 1], 1]], 'hecke_orbit_code': 18014398576590963, 'p': 71}
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id: 330370
{'charpoly_factorization': [[[-100895881632176, 136465351528, 798610296, -754002, -1173, 1], 1]], 'hecke_orbit_code': 18014398576590963, 'p': 73}
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id: 330371
{'charpoly_factorization': [[[-90481602379776, 187317697536, 824275072, -1386736, -656, 1], 1]], 'hecke_orbit_code': 18014398576590963, 'p': 79}
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id: 330372
{'charpoly_factorization': [[[18307318870176, -18715519308, -633085852, -1275819, 82, 1], 1]], 'hecke_orbit_code': 18014398576590963, 'p': 83}
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id: 330373
{'charpoly_factorization': [[[-115104799418880, 155412194688, 1591194176, -2129176, -570, 1], 1]], 'hecke_orbit_code': 18014398576590963, 'p': 89}
-
id: 330374
{'charpoly_factorization': [[[-480989167569272, 811222464868, 1101737538, -1805341, -633, 1], 1]], 'hecke_orbit_code': 18014398576590963, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 5, 'label': '115.4.a.e', 'level': 115, 'portrait': 'data:image/png;base64,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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 154115000
{'hecke_orbit_code': 18014398576590963, 'n': 1, 'trace_an': 5}
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id: 154115001
{'hecke_orbit_code': 18014398576590963, 'n': 2, 'trace_an': 6}
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id: 154115002
{'hecke_orbit_code': 18014398576590963, 'n': 3, 'trace_an': 4}
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id: 154115003
{'hecke_orbit_code': 18014398576590963, 'n': 4, 'trace_an': 22}
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id: 154115004
{'hecke_orbit_code': 18014398576590963, 'n': 5, 'trace_an': -25}
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id: 154115005
{'hecke_orbit_code': 18014398576590963, 'n': 6, 'trace_an': 19}
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id: 154115006
{'hecke_orbit_code': 18014398576590963, 'n': 7, 'trace_an': -3}
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id: 154115007
{'hecke_orbit_code': 18014398576590963, 'n': 8, 'trace_an': 138}
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id: 154115008
{'hecke_orbit_code': 18014398576590963, 'n': 9, 'trace_an': 77}
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id: 154115009
{'hecke_orbit_code': 18014398576590963, 'n': 10, 'trace_an': -30}
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id: 154115010
{'hecke_orbit_code': 18014398576590963, 'n': 11, 'trace_an': 23}
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id: 154115011
{'hecke_orbit_code': 18014398576590963, 'n': 12, 'trace_an': 47}
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id: 154115012
{'hecke_orbit_code': 18014398576590963, 'n': 13, 'trace_an': 132}
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id: 154115013
{'hecke_orbit_code': 18014398576590963, 'n': 14, 'trace_an': 93}
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id: 154115014
{'hecke_orbit_code': 18014398576590963, 'n': 15, 'trace_an': -20}
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id: 154115015
{'hecke_orbit_code': 18014398576590963, 'n': 16, 'trace_an': 282}
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id: 154115016
{'hecke_orbit_code': 18014398576590963, 'n': 17, 'trace_an': 23}
-
id: 154115017
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