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mf_newforms • Show schema
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{'Nk2': 18928, 'analytic_conductor': 37.78521023646988, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 2, 'char_parity': 1, 'char_values': [4732, 2, [2367, 2705, 4565], [2, 2, 1]], 'cm_discs': [], 'conrey_index': 337, 'dim': 16, 'field_disc': 2982150558828139219255296, 'field_disc_factorization': [[2, 24], [3, 8], [1381, 2], [3769, 2]], 'field_poly': [2704, 0, 42624, 0, 76456, 0, 56552, 0, 21849, 0, 4762, 0, 587, 0, 38, 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': [[3, [52, 136, -232, -40, 113, 2, -19, 0, 1]], [5, [3721, 0, 273234, 0, 492193, 0, 339950, 0, 111420, 0, 18058, 0, 1505, 0, 62, 0, 1]], [17, [-1727, -9498, -2380, 4270, 1478, -182, -76, 2, 1]]], 'hecke_orbit': 11, 'hecke_orbit_code': 45036408624124540, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1024, 'hecke_ring_index_factorization': [[2, 10]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 13, 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': '4732.2.g.k', 'level': 4732, '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': [2, 7, 13], 'level_radical': 182, 'minimal_twist': '364.2.u.a', 'prim_orbit_index': 2, 'qexp_display': 'q-\\beta _{2}q^{3}+(-\\beta _{3}-\\beta _{13})q^{5}+\\beta _{3}q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 16, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4732.2.g', 'trace_display': [0, 0, 0, 0], 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mf_hecke_nf • Show schema
Hide schema
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0, 0], [0, 13, 0, -19, 0, 0, 0, 0, 0, 0, 6, 8, 13, 13, -16, -8], [16, 0, -3, 0, 3, -1, 5, -4, 3, -13, 0, 0, 0, 0, 0, 0], [-21, 0, -6, 0, -10, 2, 4, 0, -4, -8, 0, 0, 0, 0, 0, 0], [0, 15, 0, -16, 0, 0, 0, 0, 0, 0, 2, 9, -5, 3, 1, -7], [0, -7, 0, -15, 0, 0, 0, 0, 0, 0, -12, -2, 15, 9, -6, 5], [16, 0, -9, 0, 1, -1, 1, 10, -23, 7, 0, 0, 0, 0, 0, 0], [0, -4, 0, 12, 0, 0, 0, 0, 0, 0, -12, -4, 4, -10, 22, 8], [0, -1, 0, -32, 0, 0, 0, 0, 0, 0, 0, -2, -3, -2, 4, 2], [-4, 0, 1, 0, -2, -13, -4, 3, -3, -2, 0, 0, 0, 0, 0, 0], [0, -14, 0, 16, 0, 0, 0, 0, 0, 0, -1, 1, 6, 12, -3, -2], [0, -7, 0, -15, 0, 0, 0, 0, 0, 0, -8, -4, -19, 3, 0, -2], [8, 0, 5, 0, 7, 5, 11, -2, -1, -3, 0, 0, 0, 0, 0, 0]], 'char_orbit_index': 7, 'field_poly': [2704, 0, 42624, 0, 76456, 0, 56552, 0, 21849, 0, 4762, 0, 587, 0, 38, 0, 1], 'hecke_orbit_code': 45036408624124540, 'hecke_ring_character_values': [[2367, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [2705, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [4565, [-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, 1, 70144, 1823744, 70144, 35072, 17536, 70144, 70144, 35072, 140288, 911872, 13312, 455936, 227968, 113984], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 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, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-5, 0, -1, 0, 0, 1, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0], [0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, -1, 0, 1], [37, 0, 9, 0, 1, -11, 14, 1, 9, 2, 0, 0, 0, 0, 0, 0], [0, 44, 0, 12, 0, 0, 0, 0, 0, 0, -13, -29, -11, 12, 1, -13], [-316, 0, -70, 0, -15, 112, -153, -15, -82, -28, 0, 0, 0, 0, 0, 0], [0, -358, 0, -234, 0, 0, 0, 0, 0, 0, 140, 337, 124, -123, -27, 142], [2907, 0, 529, 0, 158, -1139, 1575, 188, 771, 320, 0, 0, 0, 0, 0, 0], [0, 3086, 0, 3258, 0, 0, 0, 0, 0, 0, -1413, -3670, -1463, 1223, 460, -1485], [-27861, 0, -3949, 0, -1435, 11699, -15888, -2207, -7405, -3480, 0, 0, 0, 0, 0, 0], [0, -27558, 0, -40038, 0, 0, 0, 0, 0, 0, 13843, 38979, 17351, -12158, -6435, 15341], [273468, 0, 28862, 0, 11833, -121182, 159203, 24959, 72152, 37294, 0, 0, 0, 0, 0, 0], [0, 251910, 0, 463814, 0, 0, 0, 0, 0, 0, -133742, -409497, -202962, 121781, 81375, -157974], [-2724011, 0, -201593, 0, -88754, 1261905, -1593911, -275542, -710589, -397536, 0, 0, 0, 0, 0, 0], [0, -2341280, 0, -5204012, 0, 0, 0, 0, 0, 0, 1285129, 4280424, 2331497, -1230119, -971326, 1626201]], 'hecke_ring_numerators': [[1, 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], [104520, 0, 1318700, 0, 1944230, 0, 1184157, 0, 355436, 0, 55047, 0, 4204, 0, 125, 0], [0, -8550920, 0, -26288300, 0, -26046678, 0, -12716909, 0, -3354588, 0, -480631, 0, -34940, 0, -1005], [-2071160, 0, -27970484, 0, -40824490, 0, -23040011, 0, -6377556, 0, -922481, 0, -66708, 0, -1899, 0], [-646232, 0, -12771132, 0, -19877674, 0, -11656901, 0, -3315160, 0, -489471, 0, -35968, 0, -1037, 0], [516200, 0, 7492116, 0, 11178918, 0, 6396215, 0, 1787760, 0, 260597, 0, 18968, 0, 543, 0], [-2586920, 0, -40344444, 0, -61053134, 0, -35032713, 0, -9768892, 0, -1417227, 0, -102588, 0, -2921, 0], [-3812504, 0, -56899572, 0, -86415250, 0, -50082819, 0, -14136796, 0, -2076377, 0, -152012, 0, -4371, 0], [-1922424, 0, -32995156, 0, -50285322, 0, -29119795, 0, -8217348, 0, -1207529, 0, -88484, 0, -2547, 0], [0, 44488, 0, -28487316, 0, -44648250, 0, -25761395, 0, -7213652, 0, -1052201, 0, -76628, 0, -2195], [0, -31407032, 0, -217566628, 0, -304113450, 0, -171512567, 0, -47752076, 0, -6952053, 0, -505724, 0, -14471], [0, -116680, 0, -3133372, 0, -4831958, 0, -2796961, 0, -786788, 0, -115155, 0, -8404, 0, -241], [0, -11271216, 0, -164890588, 0, -251045352, 0, -145826787, 0, -41271254, 0, -6079033, 0, -446258, 0, -12863], [0, -4617300, 0, -95906240, 0, -148815217, 0, -86676541, 0, -24470313, 0, -3588551, 0, -262175, 0, -7523], [0, 6680784, 0, 63258436, 0, 90917368, 0, 51301557, 0, 14218170, 0, 2059183, 0, 149086, 0, 4249]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 16, 'label': '4732.2.g.k', 'level': 4732, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 18928, 'analytic_conductor': 37.78521023646988, 'char_conductor': 13, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 2, 'char_parity': 1, 'char_values': [4732, 2, [2367, 2705, 4565], [2, 2, 1]], 'conrey_index': 337, 'cusp_dim': 686, 'dim': 76, 'eis_dim': 84, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 17], 'hecke_orbit_code': 412350419580, 'hecke_orbit_dims': [2, 2, 2, 2, 4, 4, 4, 4, 6, 12, 16, 18], 'label': '4732.2.g', 'level': 4732, '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': [2, 7, 13], 'level_radical': 182, 'mf_dim': 770, 'mf_new_dim': 76, 'num_forms': 12, 'prim_orbit_index': 2, 'relative_dim': 76, 'sturm_bound': 1456, 'trace_bound': 17, 'trace_display': [0, 0, 0, 0], 'traces': [76, 0, 0, 0, 0, 0, 0, 0, 76, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 8, 0, -84, 0, -12, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -76, 0, 8, 0, -24, 0, 20, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 20, 0, 0, 0, 32, 0, 124, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -40, 0, -4, 0, 0, 0, -32, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 12, 0, -24, 0, 36, 0, -8, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -60, 0, -4, 0, 36, 0, -56, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 152, 0, 0, 0, 0, 0, -56, 0, 0, 0, 16, 0, -184, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, 220, 0, -28, 0, -84, 0, -68, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 8, 0, 176, 0, -36, 0, 152, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, -12, 0, 0, 0, 96, 0, 28, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 36, 0, 20, 0, 24, 0, -12, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, 0, 0, -76, 0, 0, 0, 0, 0, 100, 0, 72, 0, -140, 0, -36, 0, 0, 0, 0, 0, 236, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -108, 0, 52, 0, -392, 0, 16, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -68, 0, 292, 0, -92, 0, 64, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 472, 0, 32, 0, -140, 0, -104, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 40, 0, 44, 0, -68, 0, -160, 0, 0, 0, 0, 0, -304, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 100, 0, -76, 0, -16, 0, 80, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 388, 0, 0, 0, 0, 0, -448, 0, -340, 0, 32, 0, 256, 0, 0, 0, 0, 0, 200, 0, 0, 0, 0, 0, 0, 0, -316, 0, 0, 0, 0, 0, 60, 0, 68, 0, 336, 0, -64, 0, 0, 0, 0, 0, 268, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, -128, 0, -52, 0, 284, 0, -156, 0, 0, 0, 0, 0, 228, 0, 0, 0, 0, 0, 0, 0, -356, 0, 0, 0, 0, 0, -212, 0, -8, 0, 124, 0, 68, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 224, 0, -72, 0, -212, 0, 276, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, 0, 0, -408, 0, -60, 0, 196, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, -368, 0, 4, 0, 204, 0, -136, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, -332, 0, -4, 0, 64, 0, -384, 0, 0, 0, 0, 0, -92, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 148, 0, -296, 0, -16, 0, -48, 0, 0, 0, 0, 0, 152, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 64, 0, 220, 0, -144, 0, 176, 0, 0, 0, 0, 0, 220, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 152, 0, -28, 0, 196, 0, 140, 0, 0, 0, 0, 0, 164, 0, 0, 0, 0, 0, 0, 0, 328, 0, 0, 0, 0, 0, 140, 0, 36, 0, -56, 0, -304, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, -340, 0, 0, 0, 0, 0, 96, 0, 444, 0, -44, 0, 264, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, 192, 0, 24, 0, 532, 0, 16, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, -168, 0, 24, 0, 4, 0, -76, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 12, 0, -104, 0, 16, 0, -72, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -128, 0, 0, 0, 348, 0, 100, 0, 0, 0, 0, 0, 208, 0, 0, 0, 0, 0, 0, 0, 100, 0, 0, 0, 0, 0, -112, 0, 8, 0, 212, 0, 20, 0, 0, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, -456, 0, 0, 0, 0, 0, 148, 0, 16, 0, -212, 0, -312, 0, 0, 0, 0, 0, -104, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -76, 0, -388, 0, 140, 0, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, -20, 0, -40, 0, 48, 0, 80, 0, 0, 0, 0, 0, 44, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1221308
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 16, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '4732.2.g.k', 'source_level': 4732, 'target_char_orbit': 21, 'target_dim': 16, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '364.2.u.a', 'target_level': 364, 'twist_class_label': '364.2.u.a', 'twist_class_level': 364, 'twisting_char_label': '13.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1221309
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 16, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '4732.2.g.k', 'source_level': 4732, 'target_char_orbit': 21, 'target_dim': 16, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '364.2.u.a', 'target_level': 364, 'twist_class_label': '364.2.u.a', 'twist_class_level': 364, 'twisting_char_label': '13.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1221310
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 16, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '4732.2.g.k', 'source_level': 4732, 'target_char_orbit': 55, 'target_dim': 16, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1456.2.cc.f', 'target_level': 1456, 'twist_class_label': '364.2.u.a', 'twist_class_level': 364, 'twisting_char_label': '52.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1221311
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 16, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '4732.2.g.k', 'source_level': 4732, 'target_char_orbit': 55, 'target_dim': 16, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1456.2.cc.f', 'target_level': 1456, 'twist_class_label': '364.2.u.a', 'twist_class_level': 364, 'twisting_char_label': '52.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 1221312
{'conductor': 91, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 16, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '4732.2.g.k', 'source_level': 4732, 'target_char_orbit': 21, 'target_dim': 16, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2548.2.u.c', 'target_level': 2548, 'twist_class_label': '364.2.u.a', 'twist_class_level': 364, 'twisting_char_label': '91.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 1221313
{'conductor': 91, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 16, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '4732.2.g.k', 'source_level': 4732, 'target_char_orbit': 21, 'target_dim': 16, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2548.2.u.c', 'target_level': 2548, 'twist_class_label': '364.2.u.a', 'twist_class_level': 364, 'twisting_char_label': '91.t', 'twisting_char_orbit': 20, 'weight': 2}
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id: 1221314
{'conductor': 91, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 16, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '4732.2.g.k', 'source_level': 4732, 'target_char_orbit': 28, 'target_dim': 16, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2548.2.bb.c', 'target_level': 2548, 'twist_class_label': '364.2.u.a', 'twist_class_level': 364, 'twisting_char_label': '91.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1221315
{'conductor': 91, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 16, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '4732.2.g.k', 'source_level': 4732, 'target_char_orbit': 28, 'target_dim': 16, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2548.2.bb.c', 'target_level': 2548, 'twist_class_label': '364.2.u.a', 'twist_class_level': 364, 'twisting_char_label': '91.v', 'twisting_char_orbit': 22, 'weight': 2}
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id: 1221316
{'conductor': 91, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 16, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '4732.2.g.k', 'source_level': 4732, 'target_char_orbit': 28, 'target_dim': 16, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2548.2.bb.d', 'target_level': 2548, 'twist_class_label': '364.2.u.a', 'twist_class_level': 364, 'twisting_char_label': '91.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1221317
{'conductor': 91, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 16, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '4732.2.g.k', 'source_level': 4732, 'target_char_orbit': 28, 'target_dim': 16, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2548.2.bb.d', 'target_level': 2548, 'twist_class_label': '364.2.u.a', 'twist_class_level': 364, 'twisting_char_label': '91.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 1221318
{'conductor': 91, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 16, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '4732.2.g.k', 'source_level': 4732, 'target_char_orbit': 43, 'target_dim': 16, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2548.2.bq.c', 'target_level': 2548, 'twist_class_label': '364.2.u.a', 'twist_class_level': 364, 'twisting_char_label': '91.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 1221319
{'conductor': 91, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 16, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '4732.2.g.k', 'source_level': 4732, 'target_char_orbit': 43, 'target_dim': 16, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2548.2.bq.c', 'target_level': 2548, 'twist_class_label': '364.2.u.a', 'twist_class_level': 364, 'twisting_char_label': '91.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 1221320
{'conductor': 91, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 16, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '4732.2.g.k', 'source_level': 4732, 'target_char_orbit': 43, 'target_dim': 16, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '2548.2.bq.e', 'target_level': 2548, 'twist_class_label': '364.2.u.a', 'twist_class_level': 364, 'twisting_char_label': '91.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 1221321
{'conductor': 91, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 16, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '4732.2.g.k', 'source_level': 4732, 'target_char_orbit': 43, 'target_dim': 16, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '2548.2.bq.e', 'target_level': 2548, 'twist_class_label': '364.2.u.a', 'twist_class_level': 364, 'twisting_char_label': '91.u', 'twisting_char_orbit': 21, 'weight': 2}
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id: 1221322
{'conductor': 39, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 16, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '4732.2.g.k', 'source_level': 4732, 'target_char_orbit': 58, 'target_dim': 16, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '3276.2.cf.c', 'target_level': 3276, 'twist_class_label': '364.2.u.a', 'twist_class_level': 364, 'twisting_char_label': '39.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1221323
{'conductor': 39, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 16, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '4732.2.g.k', 'source_level': 4732, 'target_char_orbit': 58, 'target_dim': 16, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '3276.2.cf.c', 'target_level': 3276, 'twist_class_label': '364.2.u.a', 'twist_class_level': 364, 'twisting_char_label': '39.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1221324
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 16, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '4732.2.g.k', 'source_level': 4732, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '4732.2.a.s', 'target_level': 4732, 'twist_class_label': '364.2.u.a', 'twist_class_level': 364, 'twisting_char_label': '13.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1221325
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 16, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '4732.2.g.k', 'source_level': 4732, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '4732.2.a.t', 'target_level': 4732, 'twist_class_label': '364.2.u.a', 'twist_class_level': 364, 'twisting_char_label': '13.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1221326
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 7, 'source_dim': 16, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '4732.2.g.k', 'source_level': 4732, 'target_char_orbit': 7, 'target_dim': 16, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '4732.2.g.k', 'target_level': 4732, 'twist_class_label': '364.2.u.a', 'twist_class_level': 364, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1221327
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 16, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '4732.2.g.k', 'source_level': 4732, 'target_char_orbit': 7, 'target_dim': 16, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '4732.2.g.k', 'target_level': 4732, 'twist_class_label': '364.2.u.a', 'twist_class_level': 364, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3690675
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 45036408624124540, 'p': 2}
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id: 3690676
{'charpoly_factorization': [[[52, 136, -232, -40, 113, 2, -19, 0, 1], 2]], 'hecke_orbit_code': 45036408624124540, 'p': 3}
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id: 3690677
{'charpoly_factorization': [[[3721, 0, 273234, 0, 492193, 0, 339950, 0, 111420, 0, 18058, 0, 1505, 0, 62, 0, 1], 1]], 'hecke_orbit_code': 45036408624124540, 'p': 5}
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id: 3690678
{'charpoly_factorization': [[[1, 0, 1], 8]], 'hecke_orbit_code': 45036408624124540, 'p': 7}
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id: 3690679
{'charpoly_factorization': [[[185722384, 0, 238770368, 0, 96333800, 0, 18991096, 0, 2114001, 0, 139610, 0, 5419, 0, 114, 0, 1], 1]], 'hecke_orbit_code': 45036408624124540, 'p': 11}
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id: 3690680
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 45036408624124540, 'p': 13}
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id: 3690681
{'charpoly_factorization': [[[-1727, -9498, -2380, 4270, 1478, -182, -76, 2, 1], 2]], 'hecke_orbit_code': 45036408624124540, 'p': 17}
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id: 3690682
{'charpoly_factorization': [[[1235663104, 0, 1113745152, 0, 397682016, 0, 72284368, 0, 7210793, 0, 400086, 0, 11995, 0, 178, 0, 1], 1]], 'hecke_orbit_code': 45036408624124540, 'p': 19}
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id: 3690683
{'charpoly_factorization': [[[-9408, 21504, -8864, -3200, 2020, 32, -92, 0, 1], 2]], 'hecke_orbit_code': 45036408624124540, 'p': 23}
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id: 3690684
{'charpoly_factorization': [[[-23031, -71550, 37813, 7114, -5644, 498, 117, -22, 1], 2]], 'hecke_orbit_code': 45036408624124540, 'p': 29}
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id: 3690685
{'charpoly_factorization': [[[1643965037584, 0, 833486342048, 0, 117129257624, 0, 7529012968, 0, 262193913, 0, 5275544, 0, 61390, 0, 384, 0, 1], 1]], 'hecke_orbit_code': 45036408624124540, 'p': 31}
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id: 3690686
{'charpoly_factorization': [[[592240896, 0, 835406208, 0, 379016368, 0, 80854952, 0, 9160529, 0, 564252, 0, 17862, 0, 244, 0, 1], 1]], 'hecke_orbit_code': 45036408624124540, 'p': 37}
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id: 3690687
{'charpoly_factorization': [[[1637621852416, 0, 1402481812864, 0, 248133706672, 0, 18307755336, 0, 657124385, 0, 11993284, 0, 114198, 0, 540, 0, 1], 1]], 'hecke_orbit_code': 45036408624124540, 'p': 41}
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id: 3690688
{'charpoly_factorization': [[[-2442908, -2582264, -414832, 118088, 21357, -1538, -269, 6, 1], 2]], 'hecke_orbit_code': 45036408624124540, 'p': 43}
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id: 3690689
{'charpoly_factorization': [[[5725040896, 0, 8403401472, 0, 3981918048, 0, 702423856, 0, 53054657, 0, 1926624, 0, 34990, 0, 304, 0, 1], 1]], 'hecke_orbit_code': 45036408624124540, 'p': 47}
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id: 3690690
{'charpoly_factorization': [[[117909, 122148, -160560, -25164, 10722, 684, -200, -4, 1], 2]], 'hecke_orbit_code': 45036408624124540, 'p': 53}
-
id: 3690691
{'charpoly_factorization': [[[119508624, 0, 9050989920, 0, 4061637592, 0, 614764600, 0, 42225601, 0, 1485536, 0, 27814, 0, 264, 0, 1], 1]], 'hecke_orbit_code': 45036408624124540, 'p': 59}
-
id: 3690692
{'charpoly_factorization': [[[1286464, -584256, -243040, 53912, 15977, -844, -262, 4, 1], 2]], 'hecke_orbit_code': 45036408624124540, 'p': 61}
-
id: 3690693
{'charpoly_factorization': [[[62066753424, 0, 226862558880, 0, 53318653336, 0, 5010726008, 0, 234301217, 0, 5738796, 0, 72126, 0, 436, 0, 1], 1]], 'hecke_orbit_code': 45036408624124540, 'p': 67}
-
id: 3690694
{'charpoly_factorization': [[[7345574313984, 0, 86204038447104, 0, 7440985931776, 0, 254317907968, 0, 4543585792, 0, 46194944, 0, 267712, 0, 816, 0, 1], 1]], 'hecke_orbit_code': 45036408624124540, 'p': 71}
-
id: 3690695
{'charpoly_factorization': [[[89262317824, 0, 54149796224, 0, 11951716784, 0, 1307926552, 0, 78468801, 0, 2633732, 0, 47350, 0, 396, 0, 1], 1]], 'hecke_orbit_code': 45036408624124540, 'p': 73}
-
id: 3690696
{'charpoly_factorization': [[[-1070784, 3524352, -862448, -101168, 30996, 1056, -328, -4, 1], 2]], 'hecke_orbit_code': 45036408624124540, 'p': 79}
-
id: 3690697
{'charpoly_factorization': [[[1971216, 0, 38267407584, 0, 71565626392, 0, 21016522744, 0, 953546361, 0, 17668920, 0, 157262, 0, 656, 0, 1], 1]], 'hecke_orbit_code': 45036408624124540, 'p': 83}
-
id: 3690698
{'charpoly_factorization': [[[33199755264, 0, 32439330816, 0, 11205500800, 0, 1790466208, 0, 138731913, 0, 4950414, 0, 77699, 0, 506, 0, 1], 1]], 'hecke_orbit_code': 45036408624124540, 'p': 89}
-
id: 3690699
{'charpoly_factorization': [[[44302336, 0, 20870846906368, 0, 3280322461696, 0, 151991656512, 0, 3305235593, 0, 38571322, 0, 246267, 0, 798, 0, 1], 1]], 'hecke_orbit_code': 45036408624124540, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 7, 'hecke_orbit': 11, 'label': '4732.2.g.k', 'level': 4732, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 55515127
{'hecke_orbit_code': 45036408624124540, 'n': 1, 'trace_an': 16}
-
id: 55515128
{'hecke_orbit_code': 45036408624124540, 'n': 2, 'trace_an': 0}
-
id: 55515129
{'hecke_orbit_code': 45036408624124540, 'n': 3, 'trace_an': 0}
-
id: 55515130
{'hecke_orbit_code': 45036408624124540, 'n': 4, 'trace_an': 0}
-
id: 55515131
{'hecke_orbit_code': 45036408624124540, 'n': 5, 'trace_an': 0}
-
id: 55515132
{'hecke_orbit_code': 45036408624124540, 'n': 6, 'trace_an': 0}
-
id: 55515133
{'hecke_orbit_code': 45036408624124540, 'n': 7, 'trace_an': 0}
-
id: 55515134
{'hecke_orbit_code': 45036408624124540, 'n': 8, 'trace_an': 0}
-
id: 55515135
{'hecke_orbit_code': 45036408624124540, 'n': 9, 'trace_an': 28}
-
id: 55515136
{'hecke_orbit_code': 45036408624124540, 'n': 10, 'trace_an': 0}
-
id: 55515137
{'hecke_orbit_code': 45036408624124540, 'n': 11, 'trace_an': 0}
-
id: 55515138
{'hecke_orbit_code': 45036408624124540, 'n': 12, 'trace_an': 0}
-
id: 55515139
{'hecke_orbit_code': 45036408624124540, 'n': 13, 'trace_an': 0}
-
id: 55515140
{'hecke_orbit_code': 45036408624124540, 'n': 14, 'trace_an': 0}
-
id: 55515141
{'hecke_orbit_code': 45036408624124540, 'n': 15, 'trace_an': 0}
-
id: 55515142
{'hecke_orbit_code': 45036408624124540, 'n': 16, 'trace_an': 0}
-
id: 55515143
{'hecke_orbit_code': 45036408624124540, 'n': 17, 'trace_an': -4}
-
id: 55515144
{'hecke_orbit_code': 45036408624124540, 'n': 18, 'trace_an': 0}
-
id: 55515145
{'hecke_orbit_code': 45036408624124540, 'n': 19, 'trace_an': 0}
-
id: 55515146
{'hecke_orbit_code': 45036408624124540, 'n': 20, 'trace_an': 0}
-
id: 55515147
{'hecke_orbit_code': 45036408624124540, 'n': 21, 'trace_an': 0}
-
id: 55515148
{'hecke_orbit_code': 45036408624124540, 'n': 22, 'trace_an': 0}
-
id: 55515149
{'hecke_orbit_code': 45036408624124540, 'n': 23, 'trace_an': 0}
-
id: 55515150
{'hecke_orbit_code': 45036408624124540, 'n': 24, 'trace_an': 0}
-
id: 55515151
{'hecke_orbit_code': 45036408624124540, 'n': 25, 'trace_an': -44}
-
id: 55515152
{'hecke_orbit_code': 45036408624124540, 'n': 26, 'trace_an': 0}
-
id: 55515153
{'hecke_orbit_code': 45036408624124540, 'n': 27, 'trace_an': -12}
-
id: 55515154
{'hecke_orbit_code': 45036408624124540, 'n': 28, 'trace_an': 0}
-
id: 55515155
{'hecke_orbit_code': 45036408624124540, 'n': 29, 'trace_an': 44}
-
id: 55515156
{'hecke_orbit_code': 45036408624124540, 'n': 30, 'trace_an': 0}
-
id: 55515157
{'hecke_orbit_code': 45036408624124540, 'n': 31, 'trace_an': 0}
-
id: 55515158
{'hecke_orbit_code': 45036408624124540, 'n': 32, 'trace_an': 0}
-
id: 55515159
{'hecke_orbit_code': 45036408624124540, 'n': 33, 'trace_an': 0}
-
id: 55515160
{'hecke_orbit_code': 45036408624124540, 'n': 34, 'trace_an': 0}
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id: 55515161
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