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mf_newforms • Show schema
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{'Nk2': 6075, 'analytic_conductor': 18.39241784432004, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 3, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': -1, 'char_values': [675, 2, [326, 352], [1, 2]], 'cm_discs': [], 'conrey_index': 26, '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, [1, 0, 1]], [7, [6, 1]]], 'hecke_orbit': 12, 'hecke_orbit_code': 49539733390361251, 'hecke_ring_generator_nbound': 2, '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, 3, 2, -1, 2, 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': '675.3.c.l', 'level': 675, 'level_is_powerful': True, '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': '135.3.d.b', 'nf_label': '2.0.4.1', 'prim_orbit_index': 2, 'qexp_display': 'q+i q^{2}+3 q^{4}-6 q^{7}+7 i q^{8}+21 i q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '2.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '675.3.c', 'trace_display': [0, 0, 0, -12], 'trace_hash': 231568682204927138, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.947', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '15.348', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '151.611', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.510', 'prec': 17}, 'traces': [2, 0, 0, 6, 0, 0, -12, 0, 0, 0, 0, 0, -30, 0, 0, 10, 0, 0, -28, 0, 0, -42, 0, 0, 0, 0, 0, -36, 0, 0, -50, 0, 0, 46, 0, 0, -108, 0, 0, 0, 0, 0, 30, 0, 0, 14, 0, 0, -26, 0, 0, -90, 0, 0, 0, 0, 0, 6, 0, 0, 88, 0, 0, -26, 0, 0, -132, 0, 0, 0, 0, 0, 0, 0, 0, -84, 0, 0, 74, 0, 0, -48, 0, 0, 0, 0, 0, -294, 0, 0, 180, 0, 0, -98, 0, 0, -156, 0, 0, 0, 0, 0, 60, 0, 0, -28, 0, 0, 188, 0, 0, -60, 0, 0, 0, 0, 0, -60, 0, 0, -640, 0, 0, -150, 0, 0, 72, 0, 0, 0, 0, 0, 168, 0, 0, 322, 0, 0, -268, 0, 0, -36, 0, 0, 0, 0, 0, -324, 0, 0, 370, 0, 0, 252, 0, 0, 462, 0, 0, 0, 0, 0, 234, 0, 0, -232, 0, 0, 112, 0, 0, 90, 0, 0, 0, 0, 0, 252, 0, 0, 532, 0, 0, 98, 0, 0, 966, 0, 0, 0, 0, 0, 636, 0, 0, -78, 0, 0, 230, 0, 0, -42, 0, 0, 0, 0, 0, -150, 0, 0, -464, 0, 0, -320, 0, 0, 300, 0, 0, 0, 0, 0, 588, 0, 0, -70, 0, 0, -760, 0, 0, 42, 0, 0, 0, 0, 0, -276, 0, 0, -146, 0, 0, 264, 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 1], [0, 0], [3, 0], [0, 0], [0, 0], [-6, 0], [0, 7], [0, 0], [0, 0], [0, 21], [0, 0], [-15, 0], [0, -6], [0, 0], [5, 0], [0, -23], [0, 0], [-14, 0], [0, 0], [0, 0], [-21, 0], [0, -7], [0, 0], [0, 0], [0, -15], [0, 0], [-18, 0], [0, -3], [0, 0], [-25, 0], [0, 33], [0, 0], [23, 0], [0, 0], [0, 0], [-54, 0], [0, -14], [0, 0], [0, 0], [0, 24], [0, 0], [15, 0], [0, 63], [0, 0], [7, 0], [0, 49], [0, 0], [-13, 0], [0, 0], [0, 0], [-45, 0], [0, 14], [0, 0], [0, 0], [0, -42], [0, 0], [3, 0], [0, 30], [0, 0], [44, 0], [0, -25], [0, 0], [-13, 0], [0, 0], [0, 0], [-66, 0], [0, -69], [0, 0], [0, 0], [0, 18], [0, 0], [0, 0], [0, -54], [0, 0], [-42, 0], [0, -126], [0, 0], [37, 0], [0, 0], [0, 0], [-24, 0], [0, 116], [0, 0], [0, 0], [0, 15], [0, 0], [-147, 0], [0, -126], [0, 0], [90, 0], [0, -21], [0, 0], [-49, 0], [0, 0], [0, 0], [-78, 0], [0, -13], [0, 0], [0, 0]], 'ap': [[0, 1], [0, 0], [0, 0], [-6, 0], [0, 21], [-15, 0], [0, -23], [-14, 0], [0, -7], [0, -3], [-25, 0], [-54, 0], [0, 24], [15, 0], [0, 49], [0, 14], [0, 30], [44, 0], [-66, 0], [0, 18], [0, 0], [37, 0], [0, 116], [0, -126], [-78, 0], [0, 21], [30, 0], [0, 160], [94, 0], [0, 35], [36, 0], [0, -237], [0, -98], [-134, 0], [0, 183], [185, 0], [231, 0], [117, 0], [0, 70], [0, -154], [0, 198], [266, 0], [0, -168], [318, 0], [0, 130], [115, 0], [-232, 0], [294, 0], [0, -26], [-380, 0], [0, 398], [0, -42], [-73, 0], [0, 189], [0, -155], [0, -238], [0, 261], [86, 0], [-150, 0], [0, 354], [102, 0], [0, 308], [279, 0], [0, -336], [-336, 0], [0, 406], [140, 0], [-210, 0], [0, 28], [190, 0], [0, -229], [0, -216], [-168, 0], [147, 0], [-428, 0], [0, -421], [0, -345], [-261, 0], [0, 42], [115, 0], [0, -483], [224, 0], [0, 450], [-342, 0], [406, 0], [0, 512], [0, -738], [-618, 0], [0, -546], [-798, 0], [0, 364], [0, 420], [252, 0], [0, 690], [-614, 0], [0, -175], [0, 777], [0, -72], [135, 0], [56, 0], [183, 0], [0, -236], [0, -406], [0, 672], [560, 0], [-864, 0], [0, 280], [0, -13], [0, -348], [-55, 0], [1050, 0], [-837, 0], [0, -137], [-878, 0], [-958, 0], [0, 786], [237, 0], [0, 670], [0, -1168], [0, 42], [-280, 0], [-84, 0], [0, 904], [0, 1202], [-460, 0], [0, -81], [670, 0], [0, 0], [246, 0], [642, 0], [130, 0], [0, 17], [1127, 0], [-27, 0], [0, -372], [-875, 0], [0, -868], [879, 0], [0, -38], [0, 630], [-1024, 0], [0, -510], [732, 0], [0, -896], [-1064, 0], [0, -840], [231, 0], [0, 910], [-110, 0], [0, -805], [-705, 0], [0, 738], [-1638, 0], [0, 547], [1137, 0], [0, -798], [-677, 0], [0, 1212], [-1350, 0], [0, -1785], [0, -224], [0, 497], [-876, 0], [0, 981], [0, -1547], [0, 1421], [347, 0], [669, 0]], 'char_orbit_index': 3, 'field_poly': [1, 0, 1], 'hecke_orbit_code': 49539733390361251, 'hecke_ring_character_values': [[326, [-1, 0]], [352, [1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '675.3.c.l', 'level': 675, 'maxp': 997, 'weight': 3}
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mf_newspaces • Show schema
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{'Nk2': 6075, 'analytic_conductor': 18.39241784432004, 'char_conductor': 3, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': -1, 'char_values': [675, 2, [326, 352], [1, 2]], 'conrey_index': 26, 'cusp_dim': 162, 'dim': 51, 'eis_dim': 36, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7], 'hecke_orbit_code': 137489285795, 'hecke_orbit_dims': [1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 6, 6], 'label': '675.3.c', 'level': 675, 'level_is_powerful': True, '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': 198, 'mf_new_dim': 51, 'num_forms': 19, 'prim_orbit_index': 2, 'relative_dim': 51, 'sturm_bound': 270, 'trace_bound': 7, 'trace_display': [0, 0, 0, 5], 'traces': [51, 0, 0, -106, 0, 0, 5, 0, 0, 0, 0, 0, 39, 0, 0, 214, 0, 0, -31, 0, 0, 82, 0, 0, 0, 0, 0, -166, 0, 0, 6, 0, 0, 176, 0, 0, 55, 0, 0, 0, 0, 0, 90, 0, 0, 328, 0, 0, 98, 0, 0, -500, 0, 0, 0, 0, 0, -124, 0, 0, 249, 0, 0, -506, 0, 0, -25, 0, 0, 0, 0, 0, 33, 0, 0, -8, 0, 0, 623, 0, 0, 284, 0, 0, 0, 0, 0, 174, 0, 0, -517, 0, 0, -112, 0, 0, -263, 0, 0, 0, 0, 0, -401, 0, 0, -662, 0, 0, -196, 0, 0, 1334, 0, 0, 0, 0, 0, -188, 0, 0, -639, 0, 0, 322, 0, 0, 108, 0, 0, 0, 0, 0, 421, 0, 0, 500, 0, 0, -229, 0, 0, -1720, 0, 0, 0, 0, 0, -96, 0, 0, -321, 0, 0, -786, 0, 0, 1438, 0, 0, 0, 0, 0, 415, 0, 0, 190, 0, 0, 1826, 0, 0, -404, 0, 0, 0, 0, 0, 888, 0, 0, -1005, 0, 0, -1556, 0, 0, -1496, 0, 0, 0, 0, 0, -875, 0, 0, -528, 0, 0, 737, 0, 0, -282, 0, 0, 0, 0, 0, 388, 0, 0, 339, 0, 0, 2930, 0, 0, 484, 0, 0, 0, 0, 0, -938, 0, 0, 1792, 0, 0, -844, 0, 0, -48, 0, 0, 0, 0, 0, -1212, 0, 0, 1311, 0, 0, -2084, 0, 0, 617, 0, 0, 0, 0, 0, 372, 0, 0, -826, 0, 0, -1705, 0, 0, 1398, 0, 0, 0, 0, 0, 3092, 0, 0, 693, 0, 0, 656, 0, 0, -514, 0, 0, 0, 0, 0, 1814, 0, 0, 1296, 0, 0, -3733, 0, 0, 1870, 0, 0, 0, 0, 0, -1870, 0, 0, 1514, 0, 0, 132, 0, 0, -114, 0, 0, 0, 0, 0, -1787, 0, 0, -2636, 0, 0, -1812, 0, 0, -2952, 0, 0, 0, 0, 0, -12, 0, 0, 927, 0, 0, 3092, 0, 0, -465, 0, 0, 0, 0, 0, 1423, 0, 0, -2738, 0, 0, -601, 0, 0, 326, 0, 0, 0, 0, 0, -38, 0, 0, 1980, 0, 0, 6488, 0, 0, 2489, 0, 0, 0, 0, 0, -669, 0, 0, -4960, 0, 0, 563, 0, 0, -352, 0, 0, 0, 0, 0, -5190, 0, 0, -3008, 0, 0, 890, 0, 0, -2334, 0, 0, 0, 0, 0, 886, 0, 0, -924, 0, 0, -1543, 0, 0, 1848, 0, 0, 0, 0, 0, 4516, 0, 0, -693, 0, 0, 4114, 0, 0, -455, 0, 0, 0, 0, 0, 3096, 0, 0, -1748, 0, 0, 986, 0, 0, 88, 0, 0, 0, 0, 0, -2002, 0, 0, -4176, 0, 0, -2620, 0, 0, 120, 0, 0, 0, 0, 0, -3283, 0, 0, 7900, 0, 0, -1, 0, 0, -6216, 0, 0, 0, 0, 0, 772, 0, 0, 8549, 0, 0, -1576, 0, 0, 1075, 0, 0, 0, 0, 0, -3748, 0, 0, 6206, 0, 0, 1496, 0, 0, 2148, 0, 0, 0, 0, 0, -1454, 0, 0, -3979, 0, 0, -5656, 0, 0, -140, 0, 0, 0, 0, 0, 339, 0, 0, 100, 0, 0, -5545, 0, 0, 472, 0, 0, 0, 0, 0, 4408, 0, 0, -4695, 0, 0, -2184, 0, 0, 4347, 0, 0, 0, 0, 0, 2017, 0, 0, 652, 0, 0, 2804, 0, 0, 1452, 0, 0, 0, 0, 0, 2760, 0, 0, 4125, 0, 0, -5280, 0, 0, -2561, 0, 0, 0, 0, 0, -2162, 0, 0, 10720, 0, 0, 3958, 0, 0, 2124, 0, 0, 0, 0, 0, -3840, 0, 0, 3654, 0, 0, 10510, 0, 0, -3741, 0, 0, 0, 0, 0, 5379, 0, 0, 738, 0, 0, -1339, 0, 0, -504, 0, 0, 0, 0, 0, -6912, 0, 0, -4383, 0, 0, -1810, 0, 0, 4820, 0, 0, 0, 0, 0, 926, 0, 0, -8524, 0, 0, 888, 0, 0, -1572, 0, 0, 0, 0, 0, -9132, 0, 0, -2565, 0, 0, -5882, 0, 0, -3396, 0, 0, 0, 0, 0, 2285, 0, 0, -7278, 0, 0, 1277, 0, 0, 5022, 0, 0, 0, 0, 0, 12256, 0, 0, 5802, 0, 0, -2386, 0, 0, 188, 0, 0, 0, 0, 0, 3045, 0, 0, 9736, 0, 0, 5009, 0, 0, 936, 0, 0, 0, 0, 0, 2208, 0, 0, -745, 0, 0, 4468, 0, 0, -152, 0, 0, 0, 0, 0, -4622, 0, 0, -4248, 0, 0, -3634, 0, 0, -6594, 0, 0, 0, 0, 0, 2252, 0, 0, 1773, 0, 0, -12384, 0, 0, -3933, 0, 0, 0, 0, 0, -8918, 0, 0, 9724, 0, 0, -4495, 0, 0, -594, 0, 0, 0, 0, 0, -1278, 0, 0, -1944, 0, 0, 6496, 0, 0, -3321, 0, 0, 0, 0, 0, -3739, 0, 0, -20234, 0, 0, -2776, 0, 0, 948, 0, 0, 0, 0, 0, 10026, 0, 0, -1308, 0, 0, 15468, 0, 0, 2042, 0, 0, 0, 0, 0, 6325, 0, 0, -7212, 0, 0, 9191, 0, 0, -2136, 0, 0, 0, 0, 0, 1424, 0, 0, 675, 0, 0, 2920, 0, 0, 5063, 0, 0, 0, 0, 0, -4453, 0, 0, -21346, 0, 0, 1043, 0, 0, 1500, 0, 0, 0, 0, 0, -6542, 0, 0, 3605, 0, 0, -3140, 0, 0, 3287, 0, 0, 0, 0, 0, 7855, 0, 0, -6500, 0, 0, 8684, 0, 0, 1992, 0, 0, 0, 0, 0, -1568, 0, 0, -5228, 0, 0, -5792, 0, 0, 2051, 0, 0, 0, 0, 0, -3198, 0, 0, 1828, 0, 0, -2374, 0, 0, 4998, 0, 0, 0, 0, 0, -11912, 0, 0, 260, 0, 0, 1730, 0, 0, -5443, 0, 0, 0, 0, 0, 3228, 0, 0, 9804, 0, 0, 4805, 0, 0, 3456, 0, 0, 0, 0, 0, 12072, 0, 0, -1527, 0, 0, -18824, 0, 0, -3911, 0, 0, 0, 0, 0, 4081, 0, 0, 16856, 0, 0, -7980, 0, 0, 8162, 0, 0, 0, 0, 0, 3384, 0, 0, -6573, 0, 0, -21012, 0, 0, -4942, 0, 0, 0], 'weight': 3, 'weight_parity': -1}
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mf_twists_nf • Show schema
Hide schema
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id: 445144
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '675.3.c.l', 'source_level': 675, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '135.3.d.b', 'target_level': 135, 'twist_class_label': '135.3.d.b', 'twist_class_level': 135, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 445145
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '675.3.c.l', 'source_level': 675, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '135.3.d.b', 'target_level': 135, 'twist_class_label': '135.3.d.b', 'twist_class_level': 135, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 3}
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id: 445146
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '675.3.c.l', 'source_level': 675, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '135.3.d.e', 'target_level': 135, 'twist_class_label': '135.3.d.b', 'twist_class_level': 135, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 445147
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '675.3.c.l', 'source_level': 675, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '135.3.d.e', 'target_level': 135, 'twist_class_label': '135.3.d.b', 'twist_class_level': 135, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 3}
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id: 445148
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '675.3.c.l', 'source_level': 675, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '405.3.h.d', 'target_level': 405, 'twist_class_label': '135.3.d.b', 'twist_class_level': 135, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 3}
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id: 445149
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '675.3.c.l', 'source_level': 675, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '405.3.h.d', 'target_level': 405, 'twist_class_label': '135.3.d.b', 'twist_class_level': 135, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 3}
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id: 445150
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '675.3.c.l', 'source_level': 675, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '405.3.h.g', 'target_level': 405, 'twist_class_label': '135.3.d.b', 'twist_class_level': 135, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 3}
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id: 445151
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '675.3.c.l', 'source_level': 675, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '405.3.h.g', 'target_level': 405, 'twist_class_label': '135.3.d.b', 'twist_class_level': 135, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 3}
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id: 445152
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '675.3.c.l', 'source_level': 675, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '675.3.c.l', 'target_level': 675, 'twist_class_label': '135.3.d.b', 'twist_class_level': 135, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 3}
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id: 445153
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '675.3.c.l', 'source_level': 675, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '675.3.c.l', 'target_level': 675, 'twist_class_label': '135.3.d.b', 'twist_class_level': 135, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 445154
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '675.3.c.l', 'source_level': 675, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '675.3.c.m', 'target_level': 675, 'twist_class_label': '135.3.d.b', 'twist_class_level': 135, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 445155
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '675.3.c.l', 'source_level': 675, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '675.3.c.m', 'target_level': 675, 'twist_class_label': '135.3.d.b', 'twist_class_level': 135, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 445156
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '675.3.c.l', 'source_level': 675, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2160.3.c.b', 'target_level': 2160, 'twist_class_label': '135.3.d.b', 'twist_class_level': 135, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 3}
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id: 445157
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '675.3.c.l', 'source_level': 675, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2160.3.c.b', 'target_level': 2160, 'twist_class_label': '135.3.d.b', 'twist_class_level': 135, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 3}
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id: 445158
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '675.3.c.l', 'source_level': 675, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '2160.3.c.e', 'target_level': 2160, 'twist_class_label': '135.3.d.b', 'twist_class_level': 135, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 3}
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id: 445159
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '675.3.c.l', 'source_level': 675, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '2160.3.c.e', 'target_level': 2160, 'twist_class_label': '135.3.d.b', 'twist_class_level': 135, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 3}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 1194775
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 49539733390361251, 'p': 2}
-
id: 1194776
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 49539733390361251, 'p': 3}
-
id: 1194777
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 49539733390361251, 'p': 5}
-
id: 1194778
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 49539733390361251, 'p': 7}
-
id: 1194779
{'charpoly_factorization': [[[441, 0, 1], 1]], 'hecke_orbit_code': 49539733390361251, 'p': 11}
-
id: 1194780
{'charpoly_factorization': [[[15, 1], 2]], 'hecke_orbit_code': 49539733390361251, 'p': 13}
-
id: 1194781
{'charpoly_factorization': [[[529, 0, 1], 1]], 'hecke_orbit_code': 49539733390361251, 'p': 17}
-
id: 1194782
{'charpoly_factorization': [[[14, 1], 2]], 'hecke_orbit_code': 49539733390361251, 'p': 19}
-
id: 1194783
{'charpoly_factorization': [[[49, 0, 1], 1]], 'hecke_orbit_code': 49539733390361251, 'p': 23}
-
id: 1194784
{'charpoly_factorization': [[[9, 0, 1], 1]], 'hecke_orbit_code': 49539733390361251, 'p': 29}
-
id: 1194785
{'charpoly_factorization': [[[25, 1], 2]], 'hecke_orbit_code': 49539733390361251, 'p': 31}
-
id: 1194786
{'charpoly_factorization': [[[54, 1], 2]], 'hecke_orbit_code': 49539733390361251, 'p': 37}
-
id: 1194787
{'charpoly_factorization': [[[576, 0, 1], 1]], 'hecke_orbit_code': 49539733390361251, 'p': 41}
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id: 1194788
{'charpoly_factorization': [[[-15, 1], 2]], 'hecke_orbit_code': 49539733390361251, 'p': 43}
-
id: 1194789
{'charpoly_factorization': [[[2401, 0, 1], 1]], 'hecke_orbit_code': 49539733390361251, 'p': 47}
-
id: 1194790
{'charpoly_factorization': [[[196, 0, 1], 1]], 'hecke_orbit_code': 49539733390361251, 'p': 53}
-
id: 1194791
{'charpoly_factorization': [[[900, 0, 1], 1]], 'hecke_orbit_code': 49539733390361251, 'p': 59}
-
id: 1194792
{'charpoly_factorization': [[[-44, 1], 2]], 'hecke_orbit_code': 49539733390361251, 'p': 61}
-
id: 1194793
{'charpoly_factorization': [[[66, 1], 2]], 'hecke_orbit_code': 49539733390361251, 'p': 67}
-
id: 1194794
{'charpoly_factorization': [[[324, 0, 1], 1]], 'hecke_orbit_code': 49539733390361251, 'p': 71}
-
id: 1194795
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 49539733390361251, 'p': 73}
-
id: 1194796
{'charpoly_factorization': [[[-37, 1], 2]], 'hecke_orbit_code': 49539733390361251, 'p': 79}
-
id: 1194797
{'charpoly_factorization': [[[13456, 0, 1], 1]], 'hecke_orbit_code': 49539733390361251, 'p': 83}
-
id: 1194798
{'charpoly_factorization': [[[15876, 0, 1], 1]], 'hecke_orbit_code': 49539733390361251, 'p': 89}
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id: 1194799
{'charpoly_factorization': [[[78, 1], 2]], 'hecke_orbit_code': 49539733390361251, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 12, 'label': '675.3.c.l', 'level': 675, 'portrait': 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', 'weight': 3}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 56844343
{'hecke_orbit_code': 49539733390361251, 'n': 1, 'trace_an': 2}
-
id: 56844344
{'hecke_orbit_code': 49539733390361251, 'n': 2, 'trace_an': 0}
-
id: 56844345
{'hecke_orbit_code': 49539733390361251, 'n': 3, 'trace_an': 0}
-
id: 56844346
{'hecke_orbit_code': 49539733390361251, 'n': 4, 'trace_an': 6}
-
id: 56844347
{'hecke_orbit_code': 49539733390361251, 'n': 5, 'trace_an': 0}
-
id: 56844348
{'hecke_orbit_code': 49539733390361251, 'n': 6, 'trace_an': 0}
-
id: 56844349
{'hecke_orbit_code': 49539733390361251, 'n': 7, 'trace_an': -12}
-
id: 56844350
{'hecke_orbit_code': 49539733390361251, 'n': 8, 'trace_an': 0}
-
id: 56844351
{'hecke_orbit_code': 49539733390361251, 'n': 9, 'trace_an': 0}
-
id: 56844352
{'hecke_orbit_code': 49539733390361251, 'n': 10, 'trace_an': 0}
-
id: 56844353
{'hecke_orbit_code': 49539733390361251, 'n': 11, 'trace_an': 0}
-
id: 56844354
{'hecke_orbit_code': 49539733390361251, 'n': 12, 'trace_an': 0}
-
id: 56844355
{'hecke_orbit_code': 49539733390361251, 'n': 13, 'trace_an': -30}
-
id: 56844356
{'hecke_orbit_code': 49539733390361251, 'n': 14, 'trace_an': 0}
-
id: 56844357
{'hecke_orbit_code': 49539733390361251, 'n': 15, 'trace_an': 0}
-
id: 56844358
{'hecke_orbit_code': 49539733390361251, 'n': 16, 'trace_an': 10}
-
id: 56844359
{'hecke_orbit_code': 49539733390361251, 'n': 17, 'trace_an': 0}
-
id: 56844360
{'hecke_orbit_code': 49539733390361251, 'n': 18, 'trace_an': 0}
-
id: 56844361
{'hecke_orbit_code': 49539733390361251, 'n': 19, 'trace_an': -28}
-
id: 56844362
{'hecke_orbit_code': 49539733390361251, 'n': 20, 'trace_an': 0}
-
id: 56844363
{'hecke_orbit_code': 49539733390361251, 'n': 21, 'trace_an': 0}
-
id: 56844364
{'hecke_orbit_code': 49539733390361251, 'n': 22, 'trace_an': -42}
-
id: 56844365
{'hecke_orbit_code': 49539733390361251, 'n': 23, 'trace_an': 0}
-
id: 56844366
{'hecke_orbit_code': 49539733390361251, 'n': 24, 'trace_an': 0}
-
id: 56844367
{'hecke_orbit_code': 49539733390361251, 'n': 25, 'trace_an': 0}
-
id: 56844368
{'hecke_orbit_code': 49539733390361251, 'n': 26, 'trace_an': 0}
-
id: 56844369
{'hecke_orbit_code': 49539733390361251, 'n': 27, 'trace_an': 0}
-
id: 56844370
{'hecke_orbit_code': 49539733390361251, 'n': 28, 'trace_an': -36}
-
id: 56844371
{'hecke_orbit_code': 49539733390361251, 'n': 29, 'trace_an': 0}
-
id: 56844372
{'hecke_orbit_code': 49539733390361251, 'n': 30, 'trace_an': 0}
-
id: 56844373
{'hecke_orbit_code': 49539733390361251, 'n': 31, 'trace_an': -50}
-
id: 56844374
{'hecke_orbit_code': 49539733390361251, 'n': 32, 'trace_an': 0}
-
id: 56844375
{'hecke_orbit_code': 49539733390361251, 'n': 33, 'trace_an': 0}
-
id: 56844376
{'hecke_orbit_code': 49539733390361251, 'n': 34, 'trace_an': 46}
-
id: 56844377
{'hecke_orbit_code': 49539733390361251, 'n': 35, 'trace_an': 0}
-
id: 56844378
{'hecke_orbit_code': 49539733390361251, 'n': 36, 'trace_an': 0}
-
id: 56844379
{'hecke_orbit_code': 49539733390361251, 'n': 37, 'trace_an': -108}
-
id: 56844380
{'hecke_orbit_code': 49539733390361251, 'n': 38, 'trace_an': 0}
-
id: 56844381
{'hecke_orbit_code': 49539733390361251, 'n': 39, 'trace_an': 0}
-
id: 56844382
{'hecke_orbit_code': 49539733390361251, 'n': 40, 'trace_an': 0}
-
id: 56844383
{'hecke_orbit_code': 49539733390361251, 'n': 41, 'trace_an': 0}
-
id: 56844384
{'hecke_orbit_code': 49539733390361251, 'n': 42, 'trace_an': 0}
-
id: 56844385
{'hecke_orbit_code': 49539733390361251, 'n': 43, 'trace_an': 30}
-
id: 56844386
{'hecke_orbit_code': 49539733390361251, 'n': 44, 'trace_an': 0}
-
id: 56844387
{'hecke_orbit_code': 49539733390361251, 'n': 45, 'trace_an': 0}
-
id: 56844388
{'hecke_orbit_code': 49539733390361251, 'n': 46, 'trace_an': 14}
-
id: 56844389
{'hecke_orbit_code': 49539733390361251, 'n': 47, 'trace_an': 0}
-
id: 56844390
{'hecke_orbit_code': 49539733390361251, 'n': 48, 'trace_an': 0}
-
id: 56844391
{'hecke_orbit_code': 49539733390361251, 'n': 49, 'trace_an': -26}
-
id: 56844392
{'hecke_orbit_code': 49539733390361251, 'n': 50, 'trace_an': 0}
-
id: 56844393
{'hecke_orbit_code': 49539733390361251, 'n': 51, 'trace_an': 0}
-
id: 56844394
{'hecke_orbit_code': 49539733390361251, 'n': 52, 'trace_an': -90}
-
id: 56844395
{'hecke_orbit_code': 49539733390361251, 'n': 53, 'trace_an': 0}
-
id: 56844396
{'hecke_orbit_code': 49539733390361251, 'n': 54, 'trace_an': 0}
-
id: 56844397
{'hecke_orbit_code': 49539733390361251, 'n': 55, 'trace_an': 0}
-
id: 56844398
{'hecke_orbit_code': 49539733390361251, 'n': 56, 'trace_an': 0}
-
id: 56844399
{'hecke_orbit_code': 49539733390361251, 'n': 57, 'trace_an': 0}
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{'hecke_orbit_code': 49539733390361251, 'n': 991, 'trace_an': 694}
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id: 56844600
{'hecke_orbit_code': 49539733390361251, 'n': 997, 'trace_an': 1338}