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mf_newforms • Show schema
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{'Nk2': 3600, 'analytic_conductor': 10.899210574411876, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 16, 'char_orbit_label': 'p', 'char_order': 4, 'char_parity': -1, 'char_values': [400, 4, [351, 101, 177], [4, 4, 3]], 'cm_discs': [], 'conrey_index': 193, 'conrey_indexes': [193, 257], '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': [[3, [18, -6, 1]], [7, [18, 6, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27022628606706064, 'hecke_ring_generator_nbound': 19, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 3, -1, 4, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '400.3.p.g', 'level': 400, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 5], 'level_radical': 10, 'minimal_twist': '50.3.c.a', 'nf_label': '2.0.4.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(3-3i)q^{3}+(-3-3i)q^{7}-9iq^{9}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '2.2.3.c4', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '400.3.p', 'trace_display': [0, 6, 0, -6], 'trace_hash': 2089562010801380339, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.965', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.372', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '90.947', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.248', 'prec': 17}, 'traces': [2, 0, 6, 0, 0, 0, -6, 0, 0, 0, -24, 0, 24, 0, 0, 0, -24, 0, 0, 0, -36, 0, 6, 0, 0, 0, 0, 0, 0, 0, 16, 0, -72, 0, 0, 0, 96, 0, 0, 0, -96, 0, -54, 0, 0, 0, 54, 0, 0, 0, -144, 0, 24, 0, 0, 0, -120, 0, 0, 0, 64, 0, -54, 0, 0, 0, -6, 0, 0, 0, 96, 0, 24, 0, 0, 0, 72, 0, 0, 0, 162, 0, 186, 0, 0, 0, -180, 0, 0, 0, -144, 0, 48, 0, 0, 0, -24, 0, 0, 0, -156, 0, 186, 0, 0, 0, 54, 0, 0, 0, 576, 0, 144, 0, 0, 0, -216, 0, 0, 0, 46, 0, -288, 0, 0, 0, 234, 0, 0, 0, -264, 0, -120, 0, 0, 0, 336, 0, 0, 0, 324, 0, -288, 0, 0, 0, -186, 0, 0, 0, 496, 0, -216, 0, 0, 0, -144, 0, 0, 0, -36, 0, 186, 0, 0, 0, -6, 0, 0, 0, -360, 0, -336, 0, 0, 0, 360, 0, 0, 0, 284, 0, 192, 0, 0, 0, 288, 0, 0, 0, -384, 0, 264, 0, 0, 0, -264, 0, 0, 0, -36, 0, -180, 0, 0, 0, -54, 0, 0, 0, 56, 0, 288, 0, 0, 0, -48, 0, 0, 0, -576, 0, -234, 0, 0, 0, -186, 0, 0, 0, 432, 0, 504, 0, 0, 0, -240, 0, 0, 0, 64, 0, 486, 0, 0, 0, -480, 0, 0, 0, -504, 0, -72, 0, 0, 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [3, -3], [0, 0], [0, 0], [0, 0], [-3, -3], [0, 0], [0, -9], [0, 0], [-12, 0], [0, 0], [12, -12], [0, 0], [0, 0], [0, 0], [-12, -12], [0, 0], [0, -20], [0, 0], [-18, 0], [0, 0], [3, -3], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, -30], [0, 0], [8, 0], [0, 0], [-36, 36], [0, 0], [0, 0], [0, 0], [48, 48], [0, 0], [0, -72], [0, 0], [-48, 0], [0, 0], [-27, 27], [0, 0], [0, 0], [0, 0], [27, 27], [0, 0], [0, -31], [0, 0], [-72, 0], [0, 0], [12, -12], [0, 0], [0, 0], [0, 0], [-60, -60], [0, 0], [0, 60], [0, 0], [32, 0], [0, 0], [-27, 27], [0, 0], [0, 0], [0, 0], [-3, -3], [0, 0], [0, -18], [0, 0], [48, 0], [0, 0], [12, -12], [0, 0], [0, 0], [0, 0], [36, 36], [0, 0], [0, -40], [0, 0], [81, 0], [0, 0], [93, -93], [0, 0], [0, 0], [0, 0], [-90, -90], [0, 0], [0, 30], [0, 0], [-72, 0], [0, 0], [24, -24], [0, 0], [0, 0], [0, 0], [-12, -12], [0, 0], [0, 108], [0, 0]], 'ap': [[0, 0], [3, -3], [0, 0], [-3, -3], [-12, 0], [12, -12], [-12, -12], [0, -20], [3, -3], [0, -30], [8, 0], [48, 48], [-48, 0], [-27, 27], [27, 27], [12, -12], [0, 60], [32, 0], [-3, -3], [48, 0], [12, -12], [0, -40], [93, -93], [0, 30], [-12, -12], [-78, 0], [93, -93], [27, 27], [0, 160], [72, -72], [117, 117], [-132, 0], [168, 168], [0, 100], [0, 0], [248, 0], [-72, -72], [93, -93], [-3, -3], [-168, 168], [0, 300], [142, 0], [-192, 0], [132, -132], [-132, -132], [0, -160], [28, 0], [-117, 117], [-93, -93], [0, -370], [252, -252], [0, -360], [32, 0], [-252, 0], [-192, -192], [333, -333], [0, 480], [88, 0], [288, 288], [-288, 0], [-117, 117], [-168, 168], [-243, -243], [-552, 0], [-48, 48], [228, 228], [148, 0], [-192, -192], [117, 117], [0, -130], [-288, 288], [0, 120], [-213, -213], [-168, 168], [0, -20], [123, -123], [0, 0], [108, 108], [-18, 0], [0, 80], [0, 540], [-608, 0], [-312, 0], [252, -252], [0, -40], [213, -213], [0, 480], [-432, -432], [222, 0], [213, -213], [-3, -3], [0, 240], [627, 627], [588, 0], [0, -460], [-627, 627], [0, 450], [-558, 0], [123, -123], [542, 0], [147, 147], [288, 288], [-477, 477], [0, -240], [-692, 0], [168, 168], [-213, -213], [312, -312], [0, -240], [-608, 0], [267, 267], [-228, 228], [348, 348], [0, -940], [808, 0], [-768, 0], [-477, 477], [627, 627], [12, -12], [0, 540], [352, 0], [732, -732], [108, 108], [933, -933], [68, 0], [192, 0], [0, 50], [0, -840], [-963, -963], [72, -72], [0, -20], [243, -243], [-1072, 0], [408, 408], [1362, 0], [0, 370], [132, -132], [-93, -93], [228, 228], [0, -750], [-412, 0], [672, 0], [-717, 717], [-123, -123], [0, 1280], [0, -1560], [372, -372], [-552, -552], [0, 620], [123, -123], [1128, 1128], [912, 0], [-957, 957], [-483, -483], [1077, 1077], [1128, 0], [0, 1600], [0, 960], [-492, -492], [-738, 0], [237, 237], [-648, 648], [627, 627], [708, 0], [-612, -612], [-627, 627], [1168, 0], [108, 108]], 'char_orbit_index': 16, 'field_poly': [1, 0, 1], 'hecke_orbit_code': 27022628606706064, 'hecke_ring_character_values': [[351, [1, 0]], [101, [1, 0]], [177, [0, 1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '400.3.p.g', 'level': 400, 'maxp': 997, 'weight': 3}
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mf_newspaces • Show schema
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{'Nk2': 3600, 'analytic_conductor': 10.899210574411876, 'char_conductor': 5, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 16, 'char_orbit_label': 'p', 'char_order': 4, 'char_parity': -1, 'char_values': [400, 4, [351, 101, 177], [4, 4, 3]], 'conrey_index': 193, 'cusp_dim': 204, 'dim': 34, 'eis_dim': 72, 'eis_new_dim': 4, 'hecke_cutter_primes': [3, 7], 'hecke_orbit_code': 1030842483088, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4], 'label': '400.3.p', 'level': 400, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 5], 'level_radical': 10, 'mf_dim': 276, 'mf_new_dim': 38, 'num_forms': 12, 'prim_orbit_index': 3, 'relative_dim': 17, 'sturm_bound': 180, 'trace_bound': 11, 'trace_display': [0, -2, 0, -2], 'traces': [34, 0, -2, 0, 0, 0, -2, 0, 0, 0, 4, 0, 14, 0, 0, 0, -2, 0, 0, 0, -36, 0, 46, 0, 0, 0, 112, 0, 0, 0, 132, 0, 68, 0, 0, 0, 22, 0, 0, 0, -36, 0, -66, 0, 0, 0, -242, 0, 0, 0, -572, 0, -26, 0, 0, 0, 16, 0, 0, 0, 60, 0, 222, 0, 0, 0, 334, 0, 0, 0, 836, 0, -170, 0, 0, 0, 100, 0, 0, 0, -134, 0, -274, 0, 0, 0, -496, 0, 0, 0, -188, 0, 116, 0, 0, 0, 22, 0, 0, 0, 324, 0, 398, 0, 0, 0, 526, 0, 0, 0, 228, 0, 286, 0, 0, 0, -310, 0, 0, 0, 374, 0, -756, 0, 0, 0, -546, 0, 0, 0, -1148, 0, -464, 0, 0, 0, -298, 0, 0, 0, -932, 0, 220, 0, 0, 0, 782, 0, 0, 0, 1092, 0, -538, 0, 0, 0, 158, 0, 0, 0, -612, 0, -450, 0, 0, 0, -946, 0, 0, 0, -1856, 0, 582, 0, 0, 0, 432, 0, 0, 0, 244, 0, 476, 0, 0, 0, 572, 0, 0, 0, 964, 0, 446, 0, 0, 0, -394, 0, 0, 0, 972, 0, 240, 0, 0, 0, -622, 0, 0, 0, -28, 0, -428, 0, 0, 0, -300, 0, 0, 0, 564, 0, 350, 0, 0, 0, 574, 0, 0, 0, 1192, 0, -578, 0, 0, 0, 1088, 0, 0, 0, -868, 0, -194, 0, 0, 0, 192, 0, 0, 0, -828, 0, 804, 0, 0, 0, 734, 0, 0, 0, 1056, 0, -194, 0, 0, 0, 96, 0, 0, 0, 1508, 0, 1300, 0, 0, 0, -962, 0, 0, 0, -148, 0, -146, 0, 0, 0, -404, 0, 0, 0, 3140, 0, -1362, 0, 0, 0, -960, 0, 0, 0, -2212, 0, 364, 0, 0, 0, -754, 0, 0, 0, -3292, 0, -1122, 0, 0, 0, 318, 0, 0, 0, -468, 0, 1088, 0, 0, 0, 1408, 0, 0, 0, -892, 0, 1678, 0, 0, 0, 1142, 0, 0, 0, 2008, 0, 48, 0, 0, 0, -354, 0, 0, 0, -2176, 0, 1334, 0, 0, 0, 180, 0, 0, 0, 1858, 0, -374, 0, 0, 0, 1758, 0, 0, 0, -1628, 0, -1018, 0, 0, 0, -1488, 0, 0, 0, -548, 0, -1954, 0, 0, 0, -1662, 0, 0, 0, -4092, 0, -2012, 0, 0, 0, 1046, 0, 0, 0, -1580, 0, 124, 0, 0, 0, 60, 0, 0, 0, 5444, 0, 1680, 0, 0, 0, 496, 0, 0, 0, -772, 0, -946, 0, 0, 0, -2116, 0, 0, 0, 2372, 0, 1878, 0, 0, 0, -2416, 0, 0, 0, 2594, 0, 2926, 0, 0, 0, 2496, 0, 0, 0, 4520, 0, -3692, 0, 0, 0, -642, 0, 0, 0, -4444, 0, -850, 0, 0, 0, -802, 0, 0, 0, 2212, 0, -1404, 0, 0, 0, 226, 0, 0, 0, -796, 0, 236, 0, 0, 0, 1502, 0, 0, 0, 2372, 0, 1360, 0, 0, 0, 1204, 0, 0, 0, 5436, 0, -2354, 0, 0, 0, -2830, 0, 0, 0, -7260, 0, 1344, 0, 0, 0, 1124, 0, 0, 0, 1284, 0, -370, 0, 0, 0, 92, 0, 0, 0, -3200, 0, -748, 0, 0, 0, -432, 0, 0, 0, 1508, 0, 332, 0, 0, 0, -1794, 0, 0, 0, -3552, 0, -2624, 0, 0, 0, 2294, 0, 0, 0, -5240, 0, 3038, 0, 0, 0, 2190, 0, 0, 0, 708, 0, 3572, 0, 0, 0, 926, 0, 0, 0, -3716, 0, -292, 0, 0, 0, -418, 0, 0, 0, -8636, 0, 1590, 0, 0, 0, -3872, 0, 0, 0, -324, 0, 718, 0, 0, 0, 2062, 0, 0, 0, 3108, 0, -2866, 0, 0, 0, -2018, 0, 0, 0, -160, 0, -2912, 0, 0, 0, -1760, 0, 0, 0, 3332, 0, -2140, 0, 0, 0, 198, 0, 0, 0, -52, 0, -1330, 0, 0, 0, 606, 0, 0, 0, 9704, 0, 742, 0, 0, 0, 1714, 0, 0, 0, 6524, 0, 668, 0, 0, 0, -496, 0, 0, 0, 8008, 0, 3286, 0, 0, 0, 566, 0, 0, 0, 124, 0, 2494, 0, 0, 0, 1456, 0, 0, 0, 4036, 0, -444, 0, 0, 0, -1484, 0, 0, 0, -2980, 0, 1824, 0, 0, 0, 1452, 0, 0, 0, -3520, 0, -428, 0, 0, 0, 2176, 0, 0, 0, 2108, 0, -660, 0, 0, 0, 958, 0, 0, 0, -10044, 0, 3142, 0, 0, 0, 1956, 0, 0, 0, -2528, 0, -2786, 0, 0, 0, 498, 0, 0, 0, -7900, 0, 2628, 0, 0, 0, -3778, 0, 0, 0, 7540, 0, -1248, 0, 0, 0, -2144, 0, 0, 0, -9372, 0, -2418, 0, 0, 0, -204, 0, 0, 0, 56, 0, 2816, 0, 0, 0, -1234, 0, 0, 0, 4100, 0, -1724, 0, 0, 0, 1534, 0, 0, 0, -2416, 0, 2876, 0, 0, 0, -608, 0, 0, 0, 2596, 0, -12, 0, 0, 0, 656, 0, 0, 0, 6492, 0, 3054, 0, 0, 0, 4318, 0, 0, 0, 8260, 0, -758, 0, 0, 0, 3328, 0, 0, 0, 82, 0, -2356, 0, 0, 0, -1974, 0, 0, 0, 8740, 0, 1102, 0, 0, 0, -810, 0, 0, 0, -8328, 0, -2802, 0, 0, 0, -450, 0, 0, 0, 8900, 0, -3122, 0, 0, 0, 1310, 0, 0, 0, -1908, 0, -3362, 0, 0, 0, -4322, 0, 0, 0, -284, 0, 880, 0, 0, 0, -660, 0, 0, 0, -5372, 0, 3212, 0, 0, 0, 270, 0, 0, 0, 2372, 0, 1604, 0, 0, 0, -6204, 0, 0, 0, -2932, 0, -164, 0, 0, 0, -1678, 0, 0, 0, -13152, 0, -3756, 0, 0, 0, -994, 0, 0, 0, -1484, 0, 3500, 0, 0, 0, 5454, 0, 0, 0, -19420, 0, -738, 0, 0, 0, -1440, 0, 0, 0, -6794, 0, -4978, 0, 0, 0, -1810, 0, 0, 0, -16284, 0, -1456, 0, 0, 0, 2006, 0, 0, 0, 7608, 0, -2722, 0, 0, 0, 940, 0, 0, 0, 3908, 0, 3012, 0, 0, 0, 4894, 0, 0, 0], 'weight': 3, 'weight_parity': -1}
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mf_twists_nf • Show schema
Hide schema
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id: 298257
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '400.3.p.g', 'source_level': 400, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '50.3.c.a', 'target_level': 50, 'twist_class_label': '50.3.c.a', 'twist_class_level': 50, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 298258
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '400.3.p.g', 'source_level': 400, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '50.3.c.a', 'target_level': 50, 'twist_class_label': '50.3.c.a', 'twist_class_level': 50, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 3}
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id: 298259
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '400.3.p.g', 'source_level': 400, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '50.3.c.b', 'target_level': 50, 'twist_class_label': '50.3.c.a', 'twist_class_level': 50, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 298260
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '400.3.p.g', 'source_level': 400, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '50.3.c.b', 'target_level': 50, 'twist_class_label': '50.3.c.a', 'twist_class_level': 50, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 3}
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id: 298261
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '400.3.p.g', 'source_level': 400, 'target_char_orbit': 16, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '400.3.p.a', 'target_level': 400, 'twist_class_label': '50.3.c.a', 'twist_class_level': 50, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 298262
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '400.3.p.g', 'source_level': 400, 'target_char_orbit': 16, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '400.3.p.a', 'target_level': 400, 'twist_class_label': '50.3.c.a', 'twist_class_level': 50, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 298263
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 16, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '400.3.p.g', 'source_level': 400, 'target_char_orbit': 16, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '400.3.p.g', 'target_level': 400, 'twist_class_label': '50.3.c.a', 'twist_class_level': 50, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 3}
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id: 298264
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '400.3.p.g', 'source_level': 400, 'target_char_orbit': 16, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '400.3.p.g', 'target_level': 400, 'twist_class_label': '50.3.c.a', 'twist_class_level': 50, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 298265
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '400.3.p.g', 'source_level': 400, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '450.3.g.c', 'target_level': 450, 'twist_class_label': '50.3.c.a', 'twist_class_level': 50, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 298266
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '400.3.p.g', 'source_level': 400, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '450.3.g.c', 'target_level': 450, 'twist_class_label': '50.3.c.a', 'twist_class_level': 50, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 3}
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id: 298267
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '400.3.p.g', 'source_level': 400, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '450.3.g.e', 'target_level': 450, 'twist_class_label': '50.3.c.a', 'twist_class_level': 50, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 3}
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id: 298268
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '400.3.p.g', 'source_level': 400, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '450.3.g.e', 'target_level': 450, 'twist_class_label': '50.3.c.a', 'twist_class_level': 50, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 3}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 834875
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27022628606706064, 'p': 2}
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id: 834876
{'charpoly_factorization': [[[18, -6, 1], 1]], 'hecke_orbit_code': 27022628606706064, 'p': 3}
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id: 834877
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27022628606706064, 'p': 5}
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id: 834878
{'charpoly_factorization': [[[18, 6, 1], 1]], 'hecke_orbit_code': 27022628606706064, 'p': 7}
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id: 834879
{'charpoly_factorization': [[[12, 1], 2]], 'hecke_orbit_code': 27022628606706064, 'p': 11}
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id: 834880
{'charpoly_factorization': [[[288, -24, 1], 1]], 'hecke_orbit_code': 27022628606706064, 'p': 13}
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id: 834881
{'charpoly_factorization': [[[288, 24, 1], 1]], 'hecke_orbit_code': 27022628606706064, 'p': 17}
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id: 834882
{'charpoly_factorization': [[[400, 0, 1], 1]], 'hecke_orbit_code': 27022628606706064, 'p': 19}
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id: 834883
{'charpoly_factorization': [[[18, -6, 1], 1]], 'hecke_orbit_code': 27022628606706064, 'p': 23}
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id: 834884
{'charpoly_factorization': [[[900, 0, 1], 1]], 'hecke_orbit_code': 27022628606706064, 'p': 29}
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id: 834885
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 27022628606706064, 'p': 31}
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id: 834886
{'charpoly_factorization': [[[4608, -96, 1], 1]], 'hecke_orbit_code': 27022628606706064, 'p': 37}
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id: 834887
{'charpoly_factorization': [[[48, 1], 2]], 'hecke_orbit_code': 27022628606706064, 'p': 41}
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id: 834888
{'charpoly_factorization': [[[1458, 54, 1], 1]], 'hecke_orbit_code': 27022628606706064, 'p': 43}
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id: 834889
{'charpoly_factorization': [[[1458, -54, 1], 1]], 'hecke_orbit_code': 27022628606706064, 'p': 47}
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id: 834890
{'charpoly_factorization': [[[288, -24, 1], 1]], 'hecke_orbit_code': 27022628606706064, 'p': 53}
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id: 834891
{'charpoly_factorization': [[[3600, 0, 1], 1]], 'hecke_orbit_code': 27022628606706064, 'p': 59}
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id: 834892
{'charpoly_factorization': [[[-32, 1], 2]], 'hecke_orbit_code': 27022628606706064, 'p': 61}
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id: 834893
{'charpoly_factorization': [[[18, 6, 1], 1]], 'hecke_orbit_code': 27022628606706064, 'p': 67}
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id: 834894
{'charpoly_factorization': [[[-48, 1], 2]], 'hecke_orbit_code': 27022628606706064, 'p': 71}
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id: 834895
{'charpoly_factorization': [[[288, -24, 1], 1]], 'hecke_orbit_code': 27022628606706064, 'p': 73}
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id: 834896
{'charpoly_factorization': [[[1600, 0, 1], 1]], 'hecke_orbit_code': 27022628606706064, 'p': 79}
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id: 834897
{'charpoly_factorization': [[[17298, -186, 1], 1]], 'hecke_orbit_code': 27022628606706064, 'p': 83}
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id: 834898
{'charpoly_factorization': [[[900, 0, 1], 1]], 'hecke_orbit_code': 27022628606706064, 'p': 89}
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id: 834899
{'charpoly_factorization': [[[288, 24, 1], 1]], 'hecke_orbit_code': 27022628606706064, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 16, 'hecke_orbit': 7, 'label': '400.3.p.g', 'level': 400, 'portrait': 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', 'weight': 3}
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mf_hecke_traces • Show schema
Hide schema
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id: 184680000
{'hecke_orbit_code': 27022628606706064, 'n': 1, 'trace_an': 2}
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id: 184680001
{'hecke_orbit_code': 27022628606706064, 'n': 2, 'trace_an': 0}
-
id: 184680002
{'hecke_orbit_code': 27022628606706064, 'n': 3, 'trace_an': 6}
-
id: 184680003
{'hecke_orbit_code': 27022628606706064, 'n': 4, 'trace_an': 0}
-
id: 184680004
{'hecke_orbit_code': 27022628606706064, 'n': 5, 'trace_an': 0}
-
id: 184680005
{'hecke_orbit_code': 27022628606706064, 'n': 6, 'trace_an': 0}
-
id: 184680006
{'hecke_orbit_code': 27022628606706064, 'n': 7, 'trace_an': -6}
-
id: 184680007
{'hecke_orbit_code': 27022628606706064, 'n': 8, 'trace_an': 0}
-
id: 184680008
{'hecke_orbit_code': 27022628606706064, 'n': 9, 'trace_an': 0}
-
id: 184680009
{'hecke_orbit_code': 27022628606706064, 'n': 10, 'trace_an': 0}
-
id: 184680010
{'hecke_orbit_code': 27022628606706064, 'n': 11, 'trace_an': -24}
-
id: 184680011
{'hecke_orbit_code': 27022628606706064, 'n': 12, 'trace_an': 0}
-
id: 184680012
{'hecke_orbit_code': 27022628606706064, 'n': 13, 'trace_an': 24}
-
id: 184680013
{'hecke_orbit_code': 27022628606706064, 'n': 14, 'trace_an': 0}
-
id: 184680014
{'hecke_orbit_code': 27022628606706064, 'n': 15, 'trace_an': 0}
-
id: 184680015
{'hecke_orbit_code': 27022628606706064, 'n': 16, 'trace_an': 0}
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id: 184680016
{'hecke_orbit_code': 27022628606706064, 'n': 17, 'trace_an': -24}
-
id: 184680017
{'hecke_orbit_code': 27022628606706064, 'n': 18, 'trace_an': 0}
-
id: 184680018
{'hecke_orbit_code': 27022628606706064, 'n': 19, 'trace_an': 0}
-
id: 184680019
{'hecke_orbit_code': 27022628606706064, 'n': 20, 'trace_an': 0}
-
id: 184680020
{'hecke_orbit_code': 27022628606706064, 'n': 21, 'trace_an': -36}
-
id: 184680021
{'hecke_orbit_code': 27022628606706064, 'n': 22, 'trace_an': 0}
-
id: 184680022
{'hecke_orbit_code': 27022628606706064, 'n': 23, 'trace_an': 6}
-
id: 184680023
{'hecke_orbit_code': 27022628606706064, 'n': 24, 'trace_an': 0}
-
id: 184680024
{'hecke_orbit_code': 27022628606706064, 'n': 25, 'trace_an': 0}
-
id: 184680025
{'hecke_orbit_code': 27022628606706064, 'n': 26, 'trace_an': 0}
-
id: 184680026
{'hecke_orbit_code': 27022628606706064, 'n': 27, 'trace_an': 0}
-
id: 184680027
{'hecke_orbit_code': 27022628606706064, 'n': 28, 'trace_an': 0}
-
id: 184680028
{'hecke_orbit_code': 27022628606706064, 'n': 29, 'trace_an': 0}
-
id: 184680029
{'hecke_orbit_code': 27022628606706064, 'n': 30, 'trace_an': 0}
-
id: 184680030
{'hecke_orbit_code': 27022628606706064, 'n': 31, 'trace_an': 16}
-
id: 184680031
{'hecke_orbit_code': 27022628606706064, 'n': 32, 'trace_an': 0}
-
id: 184680032
{'hecke_orbit_code': 27022628606706064, 'n': 33, 'trace_an': -72}
-
id: 184680033
{'hecke_orbit_code': 27022628606706064, 'n': 34, 'trace_an': 0}
-
id: 184680034
{'hecke_orbit_code': 27022628606706064, 'n': 35, 'trace_an': 0}
-
id: 184680035
{'hecke_orbit_code': 27022628606706064, 'n': 36, 'trace_an': 0}
-
id: 184680036
{'hecke_orbit_code': 27022628606706064, 'n': 37, 'trace_an': 96}
-
id: 184680037
{'hecke_orbit_code': 27022628606706064, 'n': 38, 'trace_an': 0}
-
id: 184680038
{'hecke_orbit_code': 27022628606706064, 'n': 39, 'trace_an': 0}
-
id: 184680039
{'hecke_orbit_code': 27022628606706064, 'n': 40, 'trace_an': 0}
-
id: 184680040
{'hecke_orbit_code': 27022628606706064, 'n': 41, 'trace_an': -96}
-
id: 184680041
{'hecke_orbit_code': 27022628606706064, 'n': 42, 'trace_an': 0}
-
id: 184680042
{'hecke_orbit_code': 27022628606706064, 'n': 43, 'trace_an': -54}
-
id: 184680043
{'hecke_orbit_code': 27022628606706064, 'n': 44, 'trace_an': 0}
-
id: 184680044
{'hecke_orbit_code': 27022628606706064, 'n': 45, 'trace_an': 0}
-
id: 184680045
{'hecke_orbit_code': 27022628606706064, 'n': 46, 'trace_an': 0}
-
id: 184680046
{'hecke_orbit_code': 27022628606706064, 'n': 47, 'trace_an': 54}
-
id: 184680047
{'hecke_orbit_code': 27022628606706064, 'n': 48, 'trace_an': 0}
-
id: 184680048
{'hecke_orbit_code': 27022628606706064, 'n': 49, 'trace_an': 0}
-
id: 184680049
{'hecke_orbit_code': 27022628606706064, 'n': 50, 'trace_an': 0}
-
id: 184680050
{'hecke_orbit_code': 27022628606706064, 'n': 51, 'trace_an': -144}
-
id: 184680051
{'hecke_orbit_code': 27022628606706064, 'n': 52, 'trace_an': 0}
-
id: 184680052
{'hecke_orbit_code': 27022628606706064, 'n': 53, 'trace_an': 24}
-
id: 184680053
{'hecke_orbit_code': 27022628606706064, 'n': 54, 'trace_an': 0}
-
id: 184680054
{'hecke_orbit_code': 27022628606706064, 'n': 55, 'trace_an': 0}
-
id: 184680055
{'hecke_orbit_code': 27022628606706064, 'n': 56, 'trace_an': 0}
-
id: 184680056
{'hecke_orbit_code': 27022628606706064, 'n': 57, 'trace_an': -120}
-
id: 184680057
{'hecke_orbit_code': 27022628606706064, 'n': 58, 'trace_an': 0}
-
id: 184680058
{'hecke_orbit_code': 27022628606706064, 'n': 59, 'trace_an': 0}
-
id: 184680059
{'hecke_orbit_code': 27022628606706064, 'n': 60, 'trace_an': 0}
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