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- 2025-07-20T08:50:29.309429+00:00
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mf_newforms • Show schema
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{'Nk2': 675, 'analytic_conductor': 2.043601982702227, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 15, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': -1, 'char_values': [75, 2, [26, 52], [1, 1]], 'cm_discs': [-3], 'conrey_index': 74, 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [0, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 206208761931, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, -3], [1, 1, 5, 2, 1, 2, 0], [1, 1, 15, 4, -1, 2, 0]], 'is_cm': True, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': True, 'is_twist_minimal': True, 'label': '75.3.d.a', 'level': 75, '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], 'level_radical': 15, 'minimal_twist': '75.3.c.a', 'nf_label': '2.0.4.1', 'prim_orbit_index': 4, 'qexp_display': 'q+3 i q^{3}-4 q^{4}+11 i q^{7}-9 q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '2.2.1.d2', 'self_twist_discs': [-3], 'self_twist_type': 1, 'space_label': '75.3.d', 'trace_display': [0, 0, 0, 0], 'trace_hash': 165610632397156825, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.885', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '22.377', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '295.597', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.761', 'prec': 17}, 'traces': [2, 0, 0, -8, 0, 0, 0, 0, -18, 0, 0, 0, 0, 0, 0, 32, 0, 0, 74, 0, -66, 0, 0, 0, 0, 0, 0, 0, 0, 0, -26, 0, 0, 0, 0, 72, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 94, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -296, 0, 0, 284, 0, 162, 0, 0, 264, 0, 0, 0, 0, 0, 0, -22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -286, 0, -156, 0, 0, 0, 0, 0, 0, 0, 0, 0, 242, 0, 0, 104, 0, 0, 0, 0, -366, 0, 0, 0, 0, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 454, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 336, 0, -666, 0, 0, 0, 0, 0, 0, 0, 0, 0, -626, 0, 0, 0, 0, 0, 0, 0, 594, 0, 0, 0, 0, 0, 0, 576, 0, 0, 554, 0, 654, 0, 0, 0, 0, 0, 0, 0, 0, 0, -506, 0, 0, 0, 0, 0, 0, 0, -276, 0, 0, 0, 0, 0, 0, 0, 0, 0, -766, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -386, 0, 0, -376, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 512, 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0, 0, 354, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2836, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 218, 0, 0, 0, 0, 1104, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3212, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3064, 0, 0, 3674, 0, -3666, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5328, 0, 0, 0, 0, 0, 0, 0, 3594, 0, 0, 0, 0, 0, 0, 0, 0, 0, -92, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1584, 0, 0, 1544, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1504, 0, 0, 0, 0, 2574, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3386, 0, 0, 0, 0, 0, 0, 0, 1404, 0], 'weight': 3, 'weight_parity': -1}
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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [0, 3], [-4, 0], [0, 0], [0, 0], [0, 11], [0, 0], [-9, 0], [0, 0], [0, 0], [0, -12], [0, 1], [0, 0], [0, 0], [16, 0], [0, 0], [0, 0], [37, 0], [0, 0], [-33, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, -27], [0, -44], [0, 0], [0, 0], [-13, 0], [0, 0], [0, 0], [0, 0], [0, 0], [36, 0], [0, 26], [0, 0], [-3, 0], [0, 0], [0, 0], [0, 0], [0, 61], [0, 0], [0, 0], [0, 0], [0, 0], [0, 48], [-72, 0], [0, 0], [0, 0], [0, -4], [0, 0], [0, 0], [0, 0], [0, 0], [0, 111], [0, 0], [0, 0], [0, 0], [47, 0], [0, 0], [0, -99], [-64, 0], [0, 0], [0, 0], [0, -109], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 46], [0, 0], [0, 0], [-148, 0], [0, 0], [0, 0], [142, 0], [0, 0], [81, 0], [0, 0], [0, 0], [132, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-11, 0], [0, 0], [0, -39], [0, 0], [0, 0], [0, 0], [0, -169], [0, 0], [0, 0], [0, 0]], 'ap': [[0, 0], [0, 3], [0, 0], [0, 11], [0, 0], [0, 1], [0, 0], [37, 0], [0, 0], [0, 0], [-13, 0], [0, 26], [0, 0], [0, 61], [0, 0], [0, 0], [0, 0], [47, 0], [0, -109], [0, 0], [0, 46], [142, 0], [0, 0], [0, 0], [0, -169], [0, 0], [0, -194], [0, 0], [-143, 0], [0, 0], [0, 146], [0, 0], [0, 0], [22, 0], [0, 0], [227, 0], [0, 311], [0, -299], [0, 0], [0, 0], [0, 0], [-313, 0], [0, 0], [0, -239], [0, 0], [277, 0], [-253, 0], [0, 421], [0, 0], [-383, 0], [0, 0], [0, 0], [-193, 0], [0, 0], [0, 0], [0, 0], [0, 0], [242, 0], [0, -529], [0, 0], [0, -59], [0, 0], [0, 611], [0, 0], [0, -599], [0, 0], [362, 0], [0, -649], [0, 0], [502, 0], [0, 0], [0, 0], [0, 491], [0, 121], [-83, 0], [0, 0], [0, 0], [0, 431], [0, 0], [-143, 0], [0, 0], [-358, 0], [0, 0], [0, -359], [-803, 0], [0, 0], [0, 0], [0, -814], [0, 0], [0, 526], [0, 0], [0, 0], [0, -349], [0, 0], [877, 0], [0, 0], [0, 0], [0, 0], [0, -179], [-793, 0], [0, 506], [0, 0], [0, 0], [0, 0], [1067, 0], [0, 71], [0, 0], [0, 0], [0, 0], [-673, 0], [0, -814], [0, 1126], [0, 0], [-1163, 0], [587, 0], [0, 0], [0, -314], [0, 0], [0, 0], [0, 0], [122, 0], [0, -1154], [0, 0], [0, 0], [-1318, 0], [0, 0], [457, 0], [0, 0], [0, -1429], [0, -1034], [1222, 0], [0, 0], [1202, 0], [0, 1511], [0, 0], [-863, 0], [0, 0], [0, -949], [0, 0], [0, 0], [-253, 0], [0, 0], [0, 1621], [0, 0], [-458, 0], [0, 0], [0, 481], [0, 0], [-1418, 0], [0, 0], [0, -1129], [0, 0], [0, -1259], [0, 0], [0, -214], [0, 0], [1837, 0], [0, 0], [0, -649], [0, 0], [0, 0], [0, 0], [0, -1534], [0, 0], [0, 0], [0, 0], [-1693, 0], [0, -1894]], 'char_orbit_index': 4, 'field_poly': [1, 0, 1], 'hecke_orbit_code': 206208761931, 'hecke_ring_character_values': [[26, [-1, 0]], [52, [-1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '75.3.d.a', 'level': 75, 'maxp': 997, 'weight': 3}
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mf_newspaces • Show schema
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{'Nk2': 675, 'analytic_conductor': 2.043601982702227, 'char_conductor': 15, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': -1, 'char_values': [75, 2, [26, 52], [1, 1]], 'conrey_index': 74, 'cusp_dim': 14, 'dim': 10, 'eis_dim': 12, 'eis_new_dim': 4, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 206208761931, 'hecke_orbit_dims': [2, 4, 4], 'label': '75.3.d', 'level': 75, '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], 'level_radical': 15, 'mf_dim': 26, 'mf_new_dim': 14, 'num_forms': 3, 'prim_orbit_index': 4, 'relative_dim': 10, 'sturm_bound': 30, 'trace_bound': 4, 'trace_display': [0, 0, 0, 0], 'traces': [10, 0, 0, 24, 0, -2, 0, 0, -28, 0, 0, 0, 0, 0, 0, -24, 0, 0, 54, 0, -18, 0, 0, -126, 0, 0, 0, 0, 0, 0, 70, 0, 0, 4, 0, -22, 0, 0, 22, 0, 0, 0, 0, 0, 0, -144, 0, 0, 104, 0, -62, 0, 0, 212, 0, 0, 0, 0, 0, 0, 390, 0, 0, -352, 0, 470, 0, 0, 252, 0, 0, 0, 0, 0, 0, -484, 0, 0, -316, 0, -380, 0, 0, 312, 0, 0, 0, 0, 0, 0, -406, 0, 0, -176, 0, 14, 0, 0, -710, 0, 0, 0, 0, 0, 0, 656, 0, 0, -86, 0, -428, 0, 0, 194, 0, 0, 0, 0, 0, 0, 30, 0, 0, 1208, 0, 480, 0, 0, 262, 0, 0, 0, 0, 0, 0, 252, 0, 0, 64, 0, 748, 0, 0, -434, 0, 0, 0, 0, 0, 0, 510, 0, 0, 240, 0, -548, 0, 0, -268, 0, 0, 0, 0, 0, 0, -1764, 0, 0, 264, 0, -560, 0, 0, -1660, 0, 0, 0, 0, 0, 0, 110, 0, 0, -1152, 0, -1284, 0, 0, 1122, 0, 0, 0, 0, 0, 0, 2000, 0, 0, 1794, 0, 912, 0, 0, -194, 0, 0, 0, 0, 0, 0, -190, 0, 0, -876, 0, 1476, 0, 0, -518, 0, 0, 0, 0, 0, 0, -1084, 0, 0, -1126, 0, 240, 0, 0, 2380, 0, 0, 0, 0, 0, 0, -990, 0, 0, -272, 0, -1670, 0, 0, -378, 0, 0, 0, 0, 0, 0, -248, 0, 0, -956, 0, -20, 0, 0, 1890, 0, 0, 0, 0, 0, 0, 900, 0, 0, 2004, 0, 1044, 0, 0, -426, 0, 0, 0, 0, 0, 0, 2840, 0, 0, -2766, 0, 1642, 0, 0, -818, 0, 0, 0, 0, 0, 0, -1726, 0, 0, 892, 0, -194, 0, 0, 2072, 0, 0, 0, 0, 0, 0, -2024, 0, 0, 1640, 0, -2262, 0, 0, -2546, 0, 0, 0, 0, 0, 0, -1040, 0, 0, -3216, 0, -1968, 0, 0, 962, 0, 0, 0, 0, 0, 0, 3816, 0, 0, 324, 0, 1262, 0, 0, -2120, 0, 0, 0, 0, 0, 0, -660, 0, 0, -296, 0, 1816, 0, 0, -1690, 0, 0, 0, 0, 0, 0, -3168, 0, 0, 3414, 0, 1232, 0, 0, 2898, 0, 0, 0, 0, 0, 0, -504, 0, 0, 3744, 0, -4010, 0, 0, -2346, 0, 0, 0, 0, 0, 0, 1680, 0, 0, -2426, 0, 618, 0, 0, 1044, 0, 0, 0, 0, 0, 0, 3180, 0, 0, 1728, 0, 3340, 0, 0, -460, 0, 0, 0, 0, 0, 0, 3456, 0, 0, -1686, 0, 662, 0, 0, -2048, 0, 0, 0, 0, 0, 0, -20, 0, 0, 2984, 0, 342, 0, 0, 632, 0, 0, 0, 0, 0, 0, -4824, 0, 0, 2974, 0, -5678, 0, 0, -2496, 0, 0, 0, 0, 0, 0, -2676, 0, 0, -4876, 0, -2582, 0, 0, 3332, 0, 0, 0, 0, 0, 0, 1792, 0, 0, 474, 0, 348, 0, 0, -1440, 0, 0, 0, 0, 0, 0, 764, 0, 0, -5496, 0, 5092, 0, 0, -1728, 0, 0, 0, 0, 0, 0, -4304, 0, 0, -2986, 0, 2360, 0, 0, 6870, 0, 0, 0, 0, 0, 0, 1270, 0, 0, -28, 0, -1920, 0, 0, -406, 0, 0, 0, 0, 0, 0, -2004, 0, 0, 854, 0, 710, 0, 0, 2596, 0, 0, 0, 0, 0, 0, 6950, 0, 0, 3360, 0, 2674, 0, 0, -28, 0, 0, 0, 0, 0, 0, -24, 0, 0, -2282, 0, -612, 0, 0, 220, 0, 0, 0, 0, 0, 0, -2710, 0, 0, 2368, 0, -1200, 0, 0, 1680, 0, 0, 0, 0, 0, 0, -720, 0, 0, 1114, 0, -2952, 0, 0, -3028, 0, 0, 0, 0, 0, 0, 1830, 0, 0, -6856, 0, -2116, 0, 0, 3380, 0, 0, 0, 0, 0, 0, -388, 0, 0, 4480, 0, -6, 0, 0, -2696, 0, 0, 0, 0, 0, 0, 2580, 0, 0, -252, 0, 5680, 0, 0, -3238, 0, 0, 0, 0, 0, 0, 240, 0, 0, -266, 0, -712, 0, 0, 3358, 0, 0, 0, 0, 0, 0, -8520, 0, 0, -2276, 0, -1620, 0, 0, -2448, 0, 0, 0, 0, 0, 0, 936, 0, 0, 1914, 0, -2940, 0, 0, -480, 0, 0, 0, 0, 0, 0, 3644, 0, 0, 7608, 0, 5408, 0, 0, 302, 0, 0, 0, 0, 0, 0, 1008, 0, 0, -3156, 0, 734, 0, 0, -1692, 0, 0, 0, 0, 0, 0, 2340, 0, 0, 80, 0, -1848, 0, 0, -3780, 0, 0, 0, 0, 0, 0, -2184, 0, 0, -626, 0, 48, 0, 0, -4220, 0, 0, 0, 0, 0, 0, 40, 0, 0, -2312, 0, -6840, 0, 0, 1372, 0, 0, 0, 0, 0, 0, 656, 0, 0, -1496, 0, -1110, 0, 0, 342, 0, 0, 0, 0, 0, 0, -6170, 0, 0, 9440, 0, 650, 0, 0, -186, 0, 0, 0, 0, 0, 0, -240, 0, 0, 1964, 0, 882, 0, 0, 3334, 0, 0, 0, 0, 0, 0, 90, 0, 0, 4188, 0, 2596, 0, 0, -4248, 0, 0, 0, 0, 0, 0, 8172, 0, 0, -696, 0, 3360, 0, 0, -1484, 0, 0, 0, 0, 0, 0, 3554, 0, 0, 2088, 0, 2962, 0, 0, 6312, 0, 0, 0, 0, 0, 0, 8796, 0, 0, -3836, 0, 3530, 0, 0, 3500, 0, 0, 0, 0, 0, 0, 536, 0, 0, -4932, 0, -6944, 0, 0, -2400, 0, 0, 0, 0, 0, 0, -6224, 0, 0, -3366, 0, -1888, 0, 0, 240, 0, 0, 0, 0, 0, 0, -6596, 0, 0, -4216, 0, -540, 0, 0, 5342, 0, 0, 0, 0, 0, 0, -10360, 0, 0, 6044, 0, -2632, 0, 0, -2116, 0, 0, 0, 0, 0, 0, -920, 0, 0, -8972, 0, 1440, 0, 0, 74, 0, 0, 0, 0, 0, 0, -4888, 0, 0, -7980, 0, 1190, 0, 0, 1710, 0, 0, 0, 0, 0, 0, 2270, 0, 0, -6720, 0, 2394, 0, 0, 2012, 0], 'weight': 3, 'weight_parity': -1}
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mf_twists_nf • Show schema
Hide schema
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id: 63913
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '75.3.d.a', 'source_level': 75, 'target_char_orbit': 3, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '75.3.c.a', 'target_level': 75, 'twist_class_label': '75.3.c.a', 'twist_class_level': 75, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 63914
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '75.3.d.a', 'source_level': 75, 'target_char_orbit': 3, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '75.3.c.a', 'target_level': 75, 'twist_class_label': '75.3.c.a', 'twist_class_level': 75, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 3}
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id: 63915
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '75.3.d.a', 'source_level': 75, 'target_char_orbit': 3, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '75.3.c.b', 'target_level': 75, 'twist_class_label': '75.3.c.a', 'twist_class_level': 75, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 63916
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '75.3.d.a', 'source_level': 75, 'target_char_orbit': 3, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '75.3.c.b', 'target_level': 75, 'twist_class_label': '75.3.c.a', 'twist_class_level': 75, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 3}
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id: 63917
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '75.3.d.a', 'source_level': 75, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '75.3.d.a', 'target_level': 75, 'twist_class_label': '75.3.c.a', 'twist_class_level': 75, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 3}
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id: 63918
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': -3, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '75.3.d.a', 'source_level': 75, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '75.3.d.a', 'target_level': 75, 'twist_class_label': '75.3.c.a', 'twist_class_level': 75, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 63919
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '75.3.d.a', 'source_level': 75, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '75.3.d.a', 'target_level': 75, 'twist_class_label': '75.3.c.a', 'twist_class_level': 75, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 63920
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '75.3.d.a', 'source_level': 75, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '75.3.d.a', 'target_level': 75, 'twist_class_label': '75.3.c.a', 'twist_class_level': 75, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 63921
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '75.3.d.a', 'source_level': 75, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1200.3.c.a', 'target_level': 1200, 'twist_class_label': '75.3.c.a', 'twist_class_level': 75, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 63922
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '75.3.d.a', 'source_level': 75, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1200.3.c.a', 'target_level': 1200, 'twist_class_label': '75.3.c.a', 'twist_class_level': 75, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 63923
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '75.3.d.a', 'source_level': 75, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1200.3.c.a', 'target_level': 1200, 'twist_class_label': '75.3.c.a', 'twist_class_level': 75, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 63924
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '75.3.d.a', 'source_level': 75, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1200.3.c.a', 'target_level': 1200, 'twist_class_label': '75.3.c.a', 'twist_class_level': 75, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 3}
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id: 63925
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '75.3.d.a', 'source_level': 75, 'target_char_orbit': 12, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1200.3.l.c', 'target_level': 1200, 'twist_class_label': '75.3.c.a', 'twist_class_level': 75, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 3}
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id: 63926
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '75.3.d.a', 'source_level': 75, 'target_char_orbit': 12, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1200.3.l.c', 'target_level': 1200, 'twist_class_label': '75.3.c.a', 'twist_class_level': 75, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 3}
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id: 63927
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '75.3.d.a', 'source_level': 75, 'target_char_orbit': 12, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1200.3.l.d', 'target_level': 1200, 'twist_class_label': '75.3.c.a', 'twist_class_level': 75, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 3}
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id: 63928
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '75.3.d.a', 'source_level': 75, 'target_char_orbit': 12, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1200.3.l.d', 'target_level': 1200, 'twist_class_label': '75.3.c.a', 'twist_class_level': 75, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 3}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 231525
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 206208761931, 'p': 2}
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id: 231526
{'charpoly_factorization': [[[9, 0, 1], 1]], 'hecke_orbit_code': 206208761931, 'p': 3}
-
id: 231527
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 206208761931, 'p': 5}
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id: 231528
{'charpoly_factorization': [[[121, 0, 1], 1]], 'hecke_orbit_code': 206208761931, 'p': 7}
-
id: 231529
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 206208761931, 'p': 11}
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id: 231530
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 206208761931, 'p': 13}
-
id: 231531
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 206208761931, 'p': 17}
-
id: 231532
{'charpoly_factorization': [[[-37, 1], 2]], 'hecke_orbit_code': 206208761931, 'p': 19}
-
id: 231533
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 206208761931, 'p': 23}
-
id: 231534
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 206208761931, 'p': 29}
-
id: 231535
{'charpoly_factorization': [[[13, 1], 2]], 'hecke_orbit_code': 206208761931, 'p': 31}
-
id: 231536
{'charpoly_factorization': [[[676, 0, 1], 1]], 'hecke_orbit_code': 206208761931, 'p': 37}
-
id: 231537
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 206208761931, 'p': 41}
-
id: 231538
{'charpoly_factorization': [[[3721, 0, 1], 1]], 'hecke_orbit_code': 206208761931, 'p': 43}
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id: 231539
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 206208761931, 'p': 47}
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id: 231540
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 206208761931, 'p': 53}
-
id: 231541
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 206208761931, 'p': 59}
-
id: 231542
{'charpoly_factorization': [[[-47, 1], 2]], 'hecke_orbit_code': 206208761931, 'p': 61}
-
id: 231543
{'charpoly_factorization': [[[11881, 0, 1], 1]], 'hecke_orbit_code': 206208761931, 'p': 67}
-
id: 231544
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 206208761931, 'p': 71}
-
id: 231545
{'charpoly_factorization': [[[2116, 0, 1], 1]], 'hecke_orbit_code': 206208761931, 'p': 73}
-
id: 231546
{'charpoly_factorization': [[[-142, 1], 2]], 'hecke_orbit_code': 206208761931, 'p': 79}
-
id: 231547
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 206208761931, 'p': 83}
-
id: 231548
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 206208761931, 'p': 89}
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id: 231549
{'charpoly_factorization': [[[28561, 0, 1], 1]], 'hecke_orbit_code': 206208761931, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 4, 'hecke_orbit': 1, 'label': '75.3.d.a', 'level': 75, 'portrait': 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', 'weight': 3}
-
mf_hecke_traces • Show schema
Hide schema
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id: 6750120
{'hecke_orbit_code': 206208761931, 'n': 1, 'trace_an': 2}
-
id: 6750121
{'hecke_orbit_code': 206208761931, 'n': 2, 'trace_an': 0}
-
id: 6750122
{'hecke_orbit_code': 206208761931, 'n': 3, 'trace_an': 0}
-
id: 6750123
{'hecke_orbit_code': 206208761931, 'n': 4, 'trace_an': -8}
-
id: 6750124
{'hecke_orbit_code': 206208761931, 'n': 5, 'trace_an': 0}
-
id: 6750125
{'hecke_orbit_code': 206208761931, 'n': 6, 'trace_an': 0}
-
id: 6750126
{'hecke_orbit_code': 206208761931, 'n': 7, 'trace_an': 0}
-
id: 6750127
{'hecke_orbit_code': 206208761931, 'n': 8, 'trace_an': 0}
-
id: 6750128
{'hecke_orbit_code': 206208761931, 'n': 9, 'trace_an': -18}
-
id: 6750129
{'hecke_orbit_code': 206208761931, 'n': 10, 'trace_an': 0}
-
id: 6750130
{'hecke_orbit_code': 206208761931, 'n': 11, 'trace_an': 0}
-
id: 6750131
{'hecke_orbit_code': 206208761931, 'n': 12, 'trace_an': 0}
-
id: 6750132
{'hecke_orbit_code': 206208761931, 'n': 13, 'trace_an': 0}
-
id: 6750133
{'hecke_orbit_code': 206208761931, 'n': 14, 'trace_an': 0}
-
id: 6750134
{'hecke_orbit_code': 206208761931, 'n': 15, 'trace_an': 0}
-
id: 6750135
{'hecke_orbit_code': 206208761931, 'n': 16, 'trace_an': 32}
-
id: 6750136
{'hecke_orbit_code': 206208761931, 'n': 17, 'trace_an': 0}
-
id: 6750137
{'hecke_orbit_code': 206208761931, 'n': 18, 'trace_an': 0}
-
id: 6750138
{'hecke_orbit_code': 206208761931, 'n': 19, 'trace_an': 74}
-
id: 6750139
{'hecke_orbit_code': 206208761931, 'n': 20, 'trace_an': 0}
-
id: 6750140
{'hecke_orbit_code': 206208761931, 'n': 21, 'trace_an': -66}
-
id: 6750141
{'hecke_orbit_code': 206208761931, 'n': 22, 'trace_an': 0}
-
id: 6750142
{'hecke_orbit_code': 206208761931, 'n': 23, 'trace_an': 0}
-
id: 6750143
{'hecke_orbit_code': 206208761931, 'n': 24, 'trace_an': 0}
-
id: 6750144
{'hecke_orbit_code': 206208761931, 'n': 25, 'trace_an': 0}
-
id: 6750145
{'hecke_orbit_code': 206208761931, 'n': 26, 'trace_an': 0}
-
id: 6750146
{'hecke_orbit_code': 206208761931, 'n': 27, 'trace_an': 0}
-
id: 6750147
{'hecke_orbit_code': 206208761931, 'n': 28, 'trace_an': 0}
-
id: 6750148
{'hecke_orbit_code': 206208761931, 'n': 29, 'trace_an': 0}
-
id: 6750149
{'hecke_orbit_code': 206208761931, 'n': 30, 'trace_an': 0}
-
id: 6750150
{'hecke_orbit_code': 206208761931, 'n': 31, 'trace_an': -26}
-
id: 6750151
{'hecke_orbit_code': 206208761931, 'n': 32, 'trace_an': 0}
-
id: 6750152
{'hecke_orbit_code': 206208761931, 'n': 33, 'trace_an': 0}
-
id: 6750153
{'hecke_orbit_code': 206208761931, 'n': 34, 'trace_an': 0}
-
id: 6750154
{'hecke_orbit_code': 206208761931, 'n': 35, 'trace_an': 0}
-
id: 6750155
{'hecke_orbit_code': 206208761931, 'n': 36, 'trace_an': 72}
-
id: 6750156
{'hecke_orbit_code': 206208761931, 'n': 37, 'trace_an': 0}
-
id: 6750157
{'hecke_orbit_code': 206208761931, 'n': 38, 'trace_an': 0}
-
id: 6750158
{'hecke_orbit_code': 206208761931, 'n': 39, 'trace_an': -6}
-
id: 6750159
{'hecke_orbit_code': 206208761931, 'n': 40, 'trace_an': 0}
-
id: 6750160
{'hecke_orbit_code': 206208761931, 'n': 41, 'trace_an': 0}
-
id: 6750161
{'hecke_orbit_code': 206208761931, 'n': 42, 'trace_an': 0}
-
id: 6750162
{'hecke_orbit_code': 206208761931, 'n': 43, 'trace_an': 0}
-
id: 6750163
{'hecke_orbit_code': 206208761931, 'n': 44, 'trace_an': 0}
-
id: 6750164
{'hecke_orbit_code': 206208761931, 'n': 45, 'trace_an': 0}
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