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mf_newforms • Show schema
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{'Nk2': 1296, 'analytic_conductor': 3.9237158067882754, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 16, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 13, 'char_orbit_label': 'm', 'char_order': 4, 'char_parity': -1, 'char_values': [144, 4, [127, 37, 65], [2, 3, 4]], 'cm_discs': [], 'conrey_index': 19, 'dim': 16, 'field_disc': 4207873885417965748853145600, 'field_disc_factorization': [[2, 32], [3, 8], [5, 2], [7, 4], [49877, 2]], 'field_poly': [65536, 0, -24576, -4096, 2560, 3584, 1408, -512, -496, -128, 88, 56, 10, -4, -6, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [2117472256, 5171462144, 6315081728, 4258177024, 1663893504, 283883520, 12517376, 4026368, 6221952, 518400, 512, -8064, 6656, -32, 0, 0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9008023938793616, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 4096, 'hecke_ring_index_factorization': [[2, 12]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 16, 6, -1, 4, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '144.3.m.c', 'level': 144, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '48.3.l.a', 'prim_orbit_index': 6, 'qexp_display': 'q-\\beta _{2}q^{2}+(1-\\beta _{1})q^{4}+(-\\beta _{1}+\\beta _{3}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '2.2.3.c4', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '144.3.m', 'trace_display': [0, 0, 0, 0], 'trace_hash': 855774822548338242, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -1, 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, 0, 0, 0], [1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, -2, 0, -1, 1, -1, 0, 0, -1, -1, -1, 0, 1, 0, 0], [1, 0, -2, 0, -1, 0, 1, -1, -1, -1, 0, -1, 0, 0, 1, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-3, -1, 1, 0, 1, 0, 1, -1, -1, 1, 1, 1, 1, -1, 1, 0], [-1, 0, 2, -1, 0, 1, 3, 1, 0, -1, 1, 0, 0, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -2, -1, 0, -1, 0, 1, -1, 0, 1, 0, 2, 1, 1, -1], [4, 1, 1, -2, -1, 2, 4, 1, 0, -1, -1, 1, -1, 1, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, -1, 0, 2, -2, 2, 5, 0, -1, 0, 0, -1, -2, -2, -2, 1], [0, -1, -3, -1, 0, -1, 0, 0, 2, 0, -2, 1, 1, 1, 1, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-3, 2, 0, 1, 2, -1, -1, 1, 4, 0, -1, 0, 0, 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145, 0, -21, -26, -84, 27, 8], [242, 6, 110, 37, -68, -43, 298, 17, 103, 22, -17, 0, -120, 47, -97, -43]], 'char_orbit_index': 13, 'field_poly': [65536, 0, -24576, -4096, 2560, 3584, 1408, -512, -496, -128, 88, 56, 10, -4, -6, 0, 1], 'hecke_orbit_code': 9008023938793616, 'hecke_ring_character_values': [[127, [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [37, [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [65, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 4096, 16384, 40960, 122880, 184320, 368640, 737280, 184320, 122880, 737280, 122880, 737280, 147456, 737280, 368640], 'hecke_ring_inverse_denominators': [1, 4, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -2, 0, -1, 0, -2, 0, 0, -1, 0, 0, 0, 2, 0, 0], [1, 0, 1, -1, 2, -1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0], [1, 2, -1, 0, 1, 0, -3, 2, 2, 0, 0, 0, 1, 1, 1, 0], [2, 2, 6, 0, 4, -2, -12, 0, -1, 2, 0, 2, 0, 2, -2, 3], [-24, 6, 14, 0, -5, -4, 10, 2, 8, -1, 2, 6, 0, 0, -2, 0], [-23, 6, 19, -9, 12, 1, 7, 2, -4, -2, 2, 4, 5, 2, 6, -3], [-45, 0, 19, 16, 4, 0, -23, 8, 8, 5, -10, -2, -13, -17, -3, 6], [-92, 6, 8, -2, -26, -4, 18, -16, -27, 16, 16, -38, 22, -18, -2, 11], [10, -22, 100, -4, -71, 48, 28, 6, -36, 7, 2, -2, -134, -26, -4, -28], [-374, -24, -186, 22, -88, 110, 442, -44, -118, -84, -52, -100, 118, 4, -36, -12], [686, -148, -142, 56, -38, 8, -402, -132, 28, -76, -88, -184, -234, -306, 190, -80], [-20, -708, -1340, 224, -904, 244, -40, -64, -350, 588, 48, -740, 304, 348, -428, 122], [3824, 260, -1180, -192, -70, 648, 972, -468, -96, -526, -20, 772, -1536, -272, -556, 16], [6588, -280, -3372, 612, -1440, 220, 4164, -456, 512, -776, -840, -1424, 3020, 1528, 648, -1700], [4276, -3040, -2412, -672, 5344, -1248, -14980, -832, 1632, -1476, 392, 1768, -780, 2596, 460, 1992]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-20480, -4096, 2560, 3584, 1408, -512, -496, -128, 88, 56, 10, -4, -6, 0, 1, 0], [0, -24576, -4096, 2560, 3584, 1408, -512, -496, -128, 88, 56, 10, -4, -6, 0, 1], [-393216, -684032, -437248, -50688, 70400, 41984, -5728, -19568, -12176, -2696, 796, 618, 48, -134, -86, -19], [-180224, 966656, 976896, 195072, -146432, -142976, -22336, 38416, 30752, 9208, -1616, -2310, -588, 218, 268, 81], [-696320, -4229120, -3216896, -442368, 497536, 427584, 56272, -127072, -95144, -25888, 5874, 6524, 1602, -628, -739, -172], [-10231808, -3719168, 3177472, 2271744, 499456, -454272, -450272, -88528, 66544, 59096, 11868, -5530, -4536, -1234, 626, 347], [41648128, 25280512, -1679360, -6363648, -3471872, 299904, 1419520, 695024, 41728, -128632, -56664, -1498, 11268, 5990, -208, -697], [-4751360, -1869824, 1464832, 1115136, 241792, -166848, -197456, -38368, 31144, 27248, 5550, -2188, -1890, -484, 323, 188], [-7716864, -4317184, 741376, 1316352, 588288, -125056, -278656, -117584, 1472, 27688, 9944, -610, -2268, -1122, 88, 131], [38699008, 13115392, -12075008, -8612352, -2430464, 1527936, 1624576, 348848, -212864, -214456, -49752, 14414, 15444, 4766, -2080, -1093], [106496, -2506752, -2496512, -579072, 310784, 320896, 62976, -87984, -75648, -24072, 2872, 5042, 1356, -446, -624, -187], [29753344, 5275648, -13058048, -7193088, -842240, 1843584, 1347712, 87152, -312896, -204856, -25704, 23798, 14868, 2486, -2776, -1249], [-8830976, -3424256, 2265088, 1838592, 497152, -329856, -365312, -87376, 44800, 46568, 10248, -3874, -3564, -1090, 464, 275], [-84557824, -51503104, 5470208, 14565888, 6895616, -1079424, -3192640, -1471280, -66400, 294424, 123216, -1358, -26172, -14126, 76, 1405], [-41566208, -22089728, 7078912, 8446464, 3079936, -1020672, -1739552, -606448, 89104, 189176, 60708, -8710, -15336, -6454, 926, 1037]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 16, 'label': '144.3.m.c', 'level': 144, 'maxp': 997, 'weight': 3}
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mf_newspaces • Show schema
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{'Nk2': 1296, 'analytic_conductor': 3.9237158067882754, 'char_conductor': 16, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 13, 'char_orbit_label': 'm', 'char_order': 4, 'char_parity': -1, 'char_values': [144, 4, [127, 37, 65], [2, 3, 4]], 'conrey_index': 19, 'cusp_dim': 88, 'dim': 38, 'eis_dim': 16, 'eis_new_dim': 4, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 824684052624, 'hecke_orbit_dims': [6, 16, 16], 'label': '144.3.m', 'level': 144, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 104, 'mf_new_dim': 42, 'num_forms': 3, 'prim_orbit_index': 6, 'relative_dim': 19, 'sturm_bound': 72, 'trace_bound': 4, 'trace_display': [2, 0, 2, -4], 'traces': [38, 2, 0, -8, 2, 0, -4, 8, 0, -4, -14, 0, -2, 32, 0, 24, 4, 0, -34, 4, 0, 84, 68, 0, 0, 4, 0, -64, -14, 0, 0, -168, 0, -4, 4, 0, 46, -208, 0, -224, 0, 0, 14, -108, 0, -60, 0, 0, 178, 190, 0, -212, 82, 0, -260, 392, 0, 280, -78, 0, -34, 420, 0, 112, 20, 0, -162, 336, 0, 344, -252, 0, 0, -256, 0, 148, -12, 0, 0, -784, 0, -16, -158, 0, 108, -796, 0, -440, 0, 0, -4, -328, 0, -744, 0, 0, -4, 430, 0, -28, -142, 0, 380, 1032, 0, 468, 338, 0, -82, 1236, 0, 864, 116, 0, 220, 292, 0, 524, 520, 0, 0, -556, 0, 808, 0, 0, 0, -1160, 0, -108, 546, 0, -244, -1304, 0, -1024, 0, 0, -626, -688, 0, -684, 0, 0, -148, 528, 0, 20, -414, 0, 60, 1656, 0, -128, -736, 0, 62, 1532, 0, 848, 200, 0, -2, 752, 0, 928, -1020, 0, 0, -824, 0, -76, -94, 0, 0, -1752, 0, -1520, -766, 0, -674, -1896, 0, -632, 0, 0, 444, -624, 0, -2012, 0, 0, -68, 700, 0, -1544, 34, 0, 1276, 1936, 0, -492, 996, 0, 64, 1760, 0, 1864, -284, 0, 1342, 788, 0, 316, 1924, 0, 0, -692, 0, 536, 276, 0, 0, -1832, 0, 508, 1250, 0, -226, -2144, 0, -440, 0, 0, -320, -676, 0, -816, 0, 0, -452, 450, 0, 1084, 998, 0, -1732, 1512, 0, 2768, -1582, 0, 12, 1460, 0, 768, -76, 0, -932, 936, 0, 2296, -2300, 0, 0, -480, 0, 1940, 274, 0, 0, -1616, 0, -688, -1854, 0, 622, -1500, 0, -1984, 0, 0, 1646, -584, 0, 268, 0, 0, -142, 1164, 0, 48, 290, 0, 1148, 1112, 0, -1652, 2116, 0, 588, 1608, 0, -696, -556, 0, 542, 1224, 0, 744, 2628, 0, 0, -564, 0, -1736, -910, 0, 0, -1376, 0, -2424, 2212, 0, 878, -752, 0, -392, 0, 0, -850, -476, 0, -820, 0, 0, 716, 962, 0, -3800, -1344, 0, -2696, 656, 0, -656, -2478, 0, -1170, 776, 0, 1840, -204, 0, -3172, -888, 0, -472, -3196, 0, 0, -208, 0, -1144, -496, 0, 0, 64, 0, 3284, -3004, 0, -306, 312, 0, 1280, 0, 0, 1422, -400, 0, -448, 0, 0, -136, -780, 0, 2160, -142, 0, 760, 432, 0, 4276, 3296, 0, -50, -88, 0, 688, 580, 0, 1024, -124, 0, 1744, 3716, 0, 0, 256, 0, 3808, 2036, 0, 0, 408, 0, 772, 3394, 0, 1054, 904, 0, -1584, 0, 0, -4036, -468, 0, 2892, 0, 0, 444, -1184, 0, 1324, 2004, 0, -1860, -776, 0, -3912, -3278, 0, 1968, -708, 0, -4304, 132, 0, -1440, -1560, 0, -144, -5688, 0, 0, -496, 0, -5448, 594, 0, 0, 2400, 0, -4336, -4286, 0, 1932, 1520, 0, -520, 0, 0, 2866, 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0, -8128, 2452, 0, -1826, -2856, 0, 244, 5444, 0, 0, -736, 0, -13416, -5152, 0, 0, 3248, 0, -14404, 4640, 0, 1036, 624, 0, -576, 0, 0, -7410, -1868, 0, -6040, 0, 0, 892, -1984, 0, -11004, -7564, 0, -11460, -4448, 0, -4368, -4412, 0, -2910, -1780, 0, 2912, 1796, 0, -7110, -2264, 0, -6512, -7544, 0, 0, -2328, 0, -2544, -5070, 0, 0, -344, 0, 15516, -6814, 0, -2448, 796, 0, 6688, 0, 0, -1216, 2384, 0, 792, 0, 0, 422, -2668, 0, 10272, 2420, 0, -4356, -4704, 0, 17576, 6674, 0, -5108, -984, 0, -2984, 1796, 0, 4416, 1084, 0, 5836, 5572, 0, 0, 4288, 0, 18376, 6484, 0, 0, -392, 0, 3736, 6596, 0, 7054, 4920, 0, -4528], 'weight': 3, 'weight_parity': -1}
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mf_twists_nf • Show schema
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id: 120454
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 16, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '144.3.m.c', 'source_level': 144, 'target_char_orbit': 12, 'target_dim': 16, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '48.3.l.a', 'target_level': 48, 'twist_class_label': '48.3.l.a', 'twist_class_level': 48, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 120455
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 16, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '144.3.m.c', 'source_level': 144, 'target_char_orbit': 12, 'target_dim': 16, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '48.3.l.a', 'target_level': 48, 'twist_class_label': '48.3.l.a', 'twist_class_level': 48, 'twisting_char_label': '48.k', 'twisting_char_orbit': 11, 'weight': 3}
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id: 120456
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 13, 'source_dim': 16, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '144.3.m.c', 'source_level': 144, 'target_char_orbit': 13, 'target_dim': 16, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '144.3.m.c', 'target_level': 144, 'twist_class_label': '48.3.l.a', 'twist_class_level': 48, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 3}
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id: 120457
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 16, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '144.3.m.c', 'source_level': 144, 'target_char_orbit': 13, 'target_dim': 16, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '144.3.m.c', 'target_level': 144, 'twist_class_label': '48.3.l.a', 'twist_class_level': 48, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 3}
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id: 120458
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 16, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '144.3.m.c', 'source_level': 144, 'target_char_orbit': 12, 'target_dim': 16, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '192.3.l.a', 'target_level': 192, 'twist_class_label': '48.3.l.a', 'twist_class_level': 48, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 120459
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 16, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '144.3.m.c', 'source_level': 144, 'target_char_orbit': 12, 'target_dim': 16, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '192.3.l.a', 'target_level': 192, 'twist_class_label': '48.3.l.a', 'twist_class_level': 48, 'twisting_char_label': '48.i', 'twisting_char_orbit': 9, 'weight': 3}
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id: 120460
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 16, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '144.3.m.c', 'source_level': 144, 'target_char_orbit': 12, 'target_dim': 16, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '384.3.l.a', 'target_level': 384, 'twist_class_label': '48.3.l.a', 'twist_class_level': 48, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 3}
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id: 120461
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 16, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '144.3.m.c', 'source_level': 144, 'target_char_orbit': 12, 'target_dim': 16, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '384.3.l.a', 'target_level': 384, 'twist_class_label': '48.3.l.a', 'twist_class_level': 48, 'twisting_char_label': '48.k', 'twisting_char_orbit': 11, 'weight': 3}
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id: 120462
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 16, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '144.3.m.c', 'source_level': 144, 'target_char_orbit': 12, 'target_dim': 16, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '384.3.l.b', 'target_level': 384, 'twist_class_label': '48.3.l.a', 'twist_class_level': 48, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 3}
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id: 120463
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 16, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '144.3.m.c', 'source_level': 144, 'target_char_orbit': 12, 'target_dim': 16, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '384.3.l.b', 'target_level': 384, 'twist_class_label': '48.3.l.a', 'twist_class_level': 48, 'twisting_char_label': '48.i', 'twisting_char_orbit': 9, 'weight': 3}
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id: 120464
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 16, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '144.3.m.c', 'source_level': 144, 'target_char_orbit': 13, 'target_dim': 16, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '576.3.m.c', 'target_level': 576, 'twist_class_label': '48.3.l.a', 'twist_class_level': 48, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 120465
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 16, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '144.3.m.c', 'source_level': 144, 'target_char_orbit': 13, 'target_dim': 16, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '576.3.m.c', 'target_level': 576, 'twist_class_label': '48.3.l.a', 'twist_class_level': 48, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 3}
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id: 120466
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 16, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '144.3.m.c', 'source_level': 144, 'target_char_orbit': 13, 'target_dim': 16, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1152.3.m.c', 'target_level': 1152, 'twist_class_label': '48.3.l.a', 'twist_class_level': 48, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 120467
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 16, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '144.3.m.c', 'source_level': 144, 'target_char_orbit': 13, 'target_dim': 16, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1152.3.m.c', 'target_level': 1152, 'twist_class_label': '48.3.l.a', 'twist_class_level': 48, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 3}
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id: 120468
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 16, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '144.3.m.c', 'source_level': 144, 'target_char_orbit': 13, 'target_dim': 16, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1152.3.m.f', 'target_level': 1152, 'twist_class_label': '48.3.l.a', 'twist_class_level': 48, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 120469
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 16, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '144.3.m.c', 'source_level': 144, 'target_char_orbit': 13, 'target_dim': 16, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1152.3.m.f', 'target_level': 1152, 'twist_class_label': '48.3.l.a', 'twist_class_level': 48, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 3}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 381850
{'charpoly_factorization': [[[65536, 0, -24576, -4096, 2560, 3584, 1408, -512, -496, -128, 88, 56, 10, -4, -6, 0, 1], 1]], 'hecke_orbit_code': 9008023938793616, 'p': 2}
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id: 381851
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 9008023938793616, 'p': 3}
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id: 381852
{'charpoly_factorization': [[[2117472256, 5171462144, 6315081728, 4258177024, 1663893504, 283883520, 12517376, 4026368, 6221952, 518400, 512, -8064, 6656, -32, 0, 0, 1], 1]], 'hecke_orbit_code': 9008023938793616, 'p': 5}
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id: 381853
{'charpoly_factorization': [[[-400880, -720640, -136576, 53248, 13704, -448, -224, 0, 1], 2]], 'hecke_orbit_code': 9008023938793616, 'p': 7}
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id: 381854
{'charpoly_factorization': [[[25620118503424, -29481536323584, 16962470019072, 22391525736448, 10536909537280, 2206640635904, 269438418944, 21404090368, 3292530688, 584835072, 68780032, 4242432, 151552, 4608, 512, 32, 1], 1]], 'hecke_orbit_code': 9008023938793616, 'p': 11}
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id: 381855
{'charpoly_factorization': [[[27957043852960000, -3777806164172800, 255245502513152, 75155778920448, 18426489989376, -1347500722176, 114873139200, 37570686976, 5634806368, 8847872, 5120000, 1717760, 271248, 3200, 0, 0, 1], 1]], 'hecke_orbit_code': 9008023938793616, 'p': 13}
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id: 381856
{'charpoly_factorization': [[[816881920, -9390080, -53986304, -1044480, 508448, 2944, -1344, 0, 1], 2]], 'hecke_orbit_code': 9008023938793616, 'p': 17}
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id: 381857
{'charpoly_factorization': [[[10598900522979229696, 1221045122401566720, 70335181828915200, -89104253114777600, 23939487244337152, -1508224010715136, 41927575470080, 1219751600128, 149480318464, -9271351296, 294903808, 15014400, 559552, -14208, 512, 32, 1], 1]], 'hecke_orbit_code': 9008023938793616, 'p': 19}
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id: 381858
{'charpoly_factorization': [[[-35037900800, -425492480, 777799680, -42348544, -1089152, 109056, -736, -64, 1], 2]], 'hecke_orbit_code': 9008023938793616, 'p': 23}
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id: 381859
{'charpoly_factorization': [[[56446323002698240000, 10320873959271219200, 943555165480583168, -1809064899469205504, 1336868519252525056, -34131461984319488, 401836469485568, 22033099003904, 4665816875136, -92505709824, 1050931712, 64121984, 3957248, -45280, 512, 32, 1], 1]], 'hecke_orbit_code': 9008023938793616, 'p': 29}
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id: 381860
{'charpoly_factorization': [[[4109607350375443718400, 0, 885437391795507240960, 0, 7691970571770562816, 0, 26353243415873536, 0, 46734989650528, 0, 46823575040, 0, 26696080, 0, 8064, 0, 1], 1]], 'hecke_orbit_code': 9008023938793616, 'p': 31}
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id: 381861
{'charpoly_factorization': [[[3804001007988103938304, -734284911784017907712, 70869372871016480768, 2884347249537718272, 703119961976168704, -97908324877949952, 6893443090702336, 6367638655488, -968313092000, -28675020544, 14234605568, 224961664, 1620496, 14528, 4608, 96, 1], 1]], 'hecke_orbit_code': 9008023938793616, 'p': 37}
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id: 381862
{'charpoly_factorization': [[[9447035993707891197542400, 0, 70805170442242133852160, 0, 219522060142929657856, 0, 365640212557922304, 0, 356212041131520, 0, 207527260160, 0, 70874688, 0, 13056, 0, 1], 1]], 'hecke_orbit_code': 9008023938793616, 'p': 41}
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id: 381863
{'charpoly_factorization': [[[921669553849870911078400, -286341547624904646983680, 44479868925767390855168, -3207498038265755598848, 144279758486420045824, -5239225685693136896, 245950489383796736, -12945845326176256, 537795837003264, -15508493912064, 306484011008, -4149187072, 46122944, -682624, 12800, -160, 1], 1]], 'hecke_orbit_code': 9008023938793616, 'p': 43}
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id: 381864
{'charpoly_factorization': [[[11024466169662170726400, 0, 373417878874107150336, 0, 4369756732867477504, 0, 22735051785764864, 0, 57150256209920, 0, 69921902592, 0, 41678592, 0, 11200, 0, 1], 1]], 'hecke_orbit_code': 9008023938793616, 'p': 47}
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id: 381865
{'charpoly_factorization': [[[964202241499962888294400, -2030668155695661908213760, 2138354891263017100541952, -19278049905064818974720, 91449263140998676480, -5591746172921030656, 1685959386162102272, -18190042770372608, 100041121243264, -1029094838016, 299678376448, -3156153984, 16960000, -153504, 12800, -160, 1], 1]], 'hecke_orbit_code': 9008023938793616, 'p': 53}
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id: 381866
{'charpoly_factorization': [[[2354567196983689216000000, 181321183266412167168000, 6981616736878284767232, -1624651112584394571776, 97922953659373584384, -714303909442617344, 215142153171501056, -32123905497890816, 2068957458595840, -72789256044544, 1586277384192, -20765343744, 158699520, -675840, 8192, -128, 1], 1]], 'hecke_orbit_code': 9008023938793616, 'p': 59}
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id: 381867
{'charpoly_factorization': [[[123219379938459167726987526400, -903620687869229632700968960, 3313319495492789381660672, 224140820215758491060224, 35750546801949141823744, -203632445835649061888, 735866880468475904, 49175921370646016, 3370685859892320, -12153910400256, 42705459200, 2795215232, 115399952, -157120, 512, 32, 1], 1]], 'hecke_orbit_code': 9008023938793616, 'p': 61}
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id: 381868
{'charpoly_factorization': [[[218440766638990972420096, 115385479389312769327104, 30474643215075243982848, -2866476071676048048128, 133010965887499370496, 621625262253015040, 579595725034225664, -50262831949414400, 2061397582544896, -36863866568704, 475717435392, -9110568960, 255286272, -4611072, 51200, -320, 1], 1]], 'hecke_orbit_code': 9008023938793616, 'p': 67}
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id: 381869
{'charpoly_factorization': [[[290924400640, 109021003776, 16299499520, 1284915200, 59283584, 1659392, 27776, 256, 1], 2]], 'hecke_orbit_code': 9008023938793616, 'p': 71}
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id: 381870
{'charpoly_factorization': [[[985907622738458033799561216, 0, 13067729363675367868465152, 0, 45327992512474743046144, 0, 53883999480140791808, 0, 25520342188187648, 0, 5899646435328, 0, 709382400, 0, 42496, 0, 1], 1]], 'hecke_orbit_code': 9008023938793616, 'p': 73}
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id: 381871
{'charpoly_factorization': [[[18873453677143355654400, 0, 2587752408175977123840, 0, 114950930654421319936, 0, 1719443636116761600, 0, 4201068991559776, 0, 2270484756224, 0, 458363920, 0, 36928, 0, 1], 1]], 'hecke_orbit_code': 9008023938793616, 'p': 79}
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id: 381872
{'charpoly_factorization': [[[14128529127252719096037376, -4236012087763315913129984, 635020045117962089136128, 137663961287507678593024, 12138187060968167571456, 396017560781535576064, 6381120662228434944, -5903701162754048, 105517061441536, 17298459828224, 474865041408, -3104705536, 3373056, 206336, 12800, -160, 1], 1]], 'hecke_orbit_code': 9008023938793616, 'p': 83}
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id: 381873
{'charpoly_factorization': [[[520469506007627359651430400, 0, 6855948794487416265768960, 0, 23073336363015526137856, 0, 30661655762820161536, 0, 18282328190707200, 0, 5304960677376, 0, 743027648, 0, 45728, 0, 1], 1]], 'hecke_orbit_code': 9008023938793616, 'p': 89}
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id: 381874
{'charpoly_factorization': [[[409778579046400, 2337541980160, -1019025981440, -1982349312, 383621120, 116224, -37056, 0, 1], 2]], 'hecke_orbit_code': 9008023938793616, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 13, 'hecke_orbit': 3, 'label': '144.3.m.c', 'level': 144, 'portrait': 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', 'weight': 3}
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mf_hecke_traces • Show schema
Hide schema
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id: 31551829
{'hecke_orbit_code': 9008023938793616, 'n': 1, 'trace_an': 16}
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id: 31551830
{'hecke_orbit_code': 9008023938793616, 'n': 2, 'trace_an': 0}
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