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mf_newforms • Show schema
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{'Nk2': 5184, 'analytic_conductor': 19.11661884185996, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [324, 3, [163, 245], [3, 1]], 'cm_discs': [-3], 'conrey_indexes': [109, 217], 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [0, 1]], [7, [289, 17, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13511073827127620, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, -3], [1, 1, 9, 3, 1, 3, 0], [1, 1, 9, 4, -1, 6, 0]], 'is_cm': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': True, 'is_twist_minimal': False, 'label': '324.4.e.d', 'level': 324, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '108.4.a.c', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(-17+17\\zeta_{6})q^{7}-89\\zeta_{6}q^{13}+107q^{19}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '3.2.1.d3', 'self_twist_discs': [-3], 'self_twist_type': 1, 'space_label': '324.4.e', 'trace_display': [0, 0, 0, -17], 'trace_hash': 1185301677693870233, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.021', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.868', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.220', 'prec': 17}, {'__RealLiteral__': 0, 'data': '16.864', 'prec': 20}, {'__RealLiteral__': 0, 'data': '2.103', 'prec': 17}, {'__RealLiteral__': 0, 'data': '208.891', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.509', 'prec': 17}, 'traces': [2, 0, 0, 0, 0, 0, -17, 0, 0, 0, 0, 0, -89, 0, 0, 0, 0, 0, 214, 0, 0, 0, 0, 0, 125, 0, 0, 0, 0, 0, -308, 0, 0, 0, 0, 0, -866, 0, 0, 0, 0, 0, 520, 0, 0, 0, 0, 0, 54, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 901, 0, 0, 0, 0, 0, -1007, 0, 0, 0, 0, 0, -542, 0, 0, 0, 0, 0, -503, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3026, 0, 0, 0, 0, 0, -1853, 0, 0, 0, 0, 0, 19, 0, 0, 0, 0, 0, -1292, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1331, 0, 0, 0, 0, 0, 760, 0, 0, 0, 0, 0, -1819, 0, 0, 0, 0, 0, 3043, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3709, 0, 0, 0, 0, 0, 3850, 0, 0, 0, 0, 0, -758, 0, 0, 0, 0, 0, -5724, 0, 0, 0, 0, 0, 2125, 0, 0, 0, 0, 0, -9398, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5111, 0, 0, 0, 0, 0, 8746, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2071, 0, 0, 0, 0, 0, 10472, 0, 0, 0, 0, 0, 3220, 0, 0, 0, 0, 0, -4466, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4769, 0, 0, 0, 0, 0, -9523, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7361, 0, 0, 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0, 0, 0, 0, 0, 0, 0, 24389, 0, 0, 0, 0, 0, -45254, 0, 0, 0, 0, 0, -8279, 0, 0, 0, 0, 0, 49807, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -89623, 0, 0, 0, 0, 0, 36793, 0, 0, 0, 0, 0, 104218, 0, 0, 0, 0, 0, -6460, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4607, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5512, 0, 0, 0, 0, 0, -54125, 0, 0, 0, 0, 0, 5778, 0, 0, 0, 0, 0, 30454, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24119, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -65073, 0, 0, 0, 0, 0, -53927, 0, 0, 0, 0, 0, -103462, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 119338, 0, 0, 0, 0, 0, -28910, 0, 0, 0], 'weight': 4, 'weight_parity': 1}
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mf_hecke_nf • Show schema
Hide schema
{'an': [[1, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-17, 17], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, -89], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [107, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [125, -125], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, -308], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-433, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [520, -520], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 54], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [901, -901], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, -1007], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-271, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-503, 503], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [1513, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-1853, 1853], [0, 0], [0, 0], [0, 0]], 'ap': [[0, 0], [0, 0], [0, 0], [-17, 17], [0, 0], [0, -89], [0, 0], [107, 0], [0, 0], [0, 0], [0, -308], [-433, 0], [0, 0], [520, -520], [0, 0], [0, 0], [0, 0], [901, -901], [0, -1007], [0, 0], [-271, 0], [-503, 503], [0, 0], [0, 0], [-1853, 1853], [0, 0], [0, 19], [0, 0], [-646, 0], [0, 0], [380, 0], [0, 0], [0, 0], [0, 3043], [0, 0], [3709, -3709], [0, 3850], [-379, 0], [0, 0], [0, 0], [0, 0], [-4699, 0], [0, 0], [0, -5111], [0, 0], [4373, 0], [0, 2071], [3220, -3220], [0, 0], [0, -4466], [0, 0], [0, 0], [-4769, 4769], [0, 0], [0, 0], [0, 0], [0, 0], [-8101, 0], [4030, -4030], [0, 0], [0, -5600], [0, 0], [10640, 0], [0, 0], [9109, -9109], [0, 0], [10891, -10891], [0, -12293], [0, 0], [-1367, 1367], [0, 0], [0, 0], [-9413, 9413], [0, 12601], [14687, 0], [0, 0], [0, 0], [1190, 0], [0, 0], [0, -8297], [0, 0], [6679, -6679], [0, 0], [-2590, 0], [-14924, 14924], [0, 0], [0, 0], [-12710, 12710], [0, 0], [0, -11969], [0, 0], [0, 0], [-6103, 0], [0, 0], [0, 15136], [0, 0], [0, 0], [0, 0], [-11881, 0], [1889, 0], [-21293, 21293], [0, 0], [0, 0], [0, 0], [0, 23941], [27323, 0], [0, 0], [0, 0], [0, 0], [29302, -29302], [0, -6137], [12851, 0], [0, 0], [37, -37], [26459, 0], [0, 0], [0, -13160], [0, 0], [0, 0], [0, 0], [0, -33731], [-9899, 9899], [0, 0], [0, 0], [16072, -16072], [0, 0], [8623, -8623], [0, 0], [10780, -10780], [0, -15050], [31376, 0], [0, 0], [0, 17569], [24137, 0], [0, 0], [0, 34417], [0, 0], [0, 14653], [0, 0], [0, 0], [39368, 0], [0, 0], [0, -45611], [0, 0], [30077, 0], [0, 0], [-8279, 8279], [0, 0], [0, 49807], [0, 0], [0, 36793], [0, 0], [52109, 0], [0, 0], [-4607, 4607], [0, 0], [2756, 0], [0, 0], [15227, 0], [0, 0], [0, 0], [0, 0], [0, -53927], [0, 0], [0, 0], [0, 0], [59669, 0], [-28910, 28910]], 'char_orbit_index': 5, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 13511073827127620, 'hecke_ring_character_values': [[163, [1, 0]], [245, [0, -1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '324.4.e.d', 'level': 324, 'maxp': 997, 'weight': 4}
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mf_newspaces • Show schema
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{'Nk2': 5184, 'analytic_conductor': 19.11661884185996, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [324, 3, [163, 245], [3, 1]], 'conrey_indexes': [109, 217], 'cusp_dim': 288, 'dim': 24, 'eis_dim': 72, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 274945016132, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 8], 'label': '324.4.e', 'level': 324, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 360, 'mf_new_dim': 24, 'num_forms': 9, 'prim_orbit_index': 3, 'relative_dim': 12, 'sturm_bound': 216, 'trace_bound': 7, 'trace_display': [0, 0, 0, 30], 'traces': [24, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, -444, 0, 0, 0, 0, 0, -186, 0, 0, 0, 0, 0, 696, 0, 0, 0, 0, 0, -132, 0, 0, 0, 0, 0, -792, 0, 0, 0, 0, 0, 2268, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, -204, 0, 0, 0, 0, 0, -780, 0, 0, 0, 0, 0, -1356, 0, 0, 0, 0, 0, -1134, 0, 0, 0, 0, 0, -2352, 0, 0, 0, 0, 0, -384, 0, 0, 0, 0, 0, 3900, 0, 0, 0, 0, 0, 5340, 0, 0, 0, 0, 0, 5508, 0, 0, 0, 0, 0, 1554, 0, 0, 0, 0, 0, -16044, 0, 0, 0, 0, 0, -2550, 0, 0, 0, 0, 0, -6072, 0, 0, 0, 0, 0, 6804, 0, 0, 0, 0, 0, 3090, 0, 0, 0, 0, 0, 5646, 0, 0, 0, 0, 0, 2640, 0, 0, 0, 0, 0, 8676, 0, 0, 0, 0, 0, 13908, 0, 0, 0, 0, 0, -21444, 0, 0, 0, 0, 0, -7776, 0, 0, 0, 0, 0, -15054, 0, 0, 0, 0, 0, 4764, 0, 0, 0, 0, 0, -10368, 0, 0, 0, 0, 0, 5556, 0, 0, 0, 0, 0, 23532, 0, 0, 0, 0, 0, 17688, 0, 0, 0, 0, 0, -1806, 0, 0, 0, 0, 0, -26568, 0, 0, 0, 0, 0, -19356, 0, 0, 0, 0, 0, -21252, 0, 0, 0, 0, 0, 18792, 0, 0, 0, 0, 0, 3084, 0, 0, 0, 0, 0, 14094, 0, 0, 0, 0, 0, 57540, 0, 0, 0, 0, 0, 24492, 0, 0, 0, 0, 0, 12612, 0, 0, 0, 0, 0, -49548, 0, 0, 0, 0, 0, -35640, 0, 0, 0, 0, 0, -43572, 0, 0, 0, 0, 0, 14304, 0, 0, 0, 0, 0, -17790, 0, 0, 0, 0, 0, 15876, 0, 0, 0, 0, 0, 63084, 0, 0, 0, 0, 0, 17652, 0, 0, 0, 0, 0, 15258, 0, 0, 0, 0, 0, -121620, 0, 0, 0, 0, 0, -27510, 0, 0, 0, 0, 0, -35640, 0, 0, 0, 0, 0, 31788, 0, 0, 0, 0, 0, 14322, 0, 0, 0, 0, 0, 36606, 0, 0, 0, 0, 0, 87744, 0, 0, 0, 0, 0, 62046, 0, 0, 0, 0, 0, 11664, 0, 0, 0, 0, 0, -57516, 0, 0, 0, 0, 0, -35112, 0, 0, 0, 0, 0, -35502, 0, 0, 0, 0, 0, -11988, 0, 0, 0, 0, 0, 2892, 0, 0, 0, 0, 0, 7368, 0, 0, 0, 0, 0, 19272, 0, 0, 0, 0, 0, 52086, 0, 0, 0, 0, 0, 48438, 0, 0, 0, 0, 0, -84888, 0, 0, 0, 0, 0, -52944, 0, 0, 0, 0, 0, -31434, 0, 0, 0, 0, 0, -32772, 0, 0, 0, 0, 0, -23280, 0, 0, 0, 0, 0, 50316, 0, 0, 0, 0, 0, 72264, 0, 0, 0, 0, 0, 72738, 0, 0, 0, 0, 0, 32268, 0, 0, 0, 0, 0, -151308, 0, 0, 0, 0, 0, -27786, 0, 0, 0, 0, 0, -76140, 0, 0, 0, 0, 0, 88320, 0, 0, 0, 0, 0, -8868, 0, 0, 0, 0, 0, 20898, 0, 0, 0, 0, 0, 17976, 0, 0, 0, 0, 0, 13080, 0, 0, 0, 0, 0, 9762, 0, 0, 0, 0, 0, -87456, 0, 0, 0, 0, 0, 3726, 0, 0, 0, 0, 0, -41280, 0, 0, 0, 0, 0, 99120, 0, 0, 0, 0, 0, 52326, 0, 0, 0, 0, 0, 49452, 0, 0, 0, 0, 0, 182736, 0, 0, 0, 0, 0, 40368, 0, 0, 0, 0, 0, 29892, 0, 0, 0, 0, 0, -61476, 0, 0, 0, 0, 0, -111984, 0, 0, 0, 0, 0, -101964, 0, 0, 0, 0, 0, -24684, 0, 0, 0, 0, 0, -90738, 0, 0, 0, 0, 0, -27672, 0, 0, 0, 0, 0, -42768, 0, 0, 0, 0, 0, 13122, 0, 0, 0, 0, 0, 7788, 0, 0, 0, 0, 0, -125712, 0, 0, 0, 0, 0, 36930, 0, 0, 0, 0, 0, -12918, 0, 0, 0, 0, 0, -25596, 0, 0, 0, 0, 0, -26376, 0, 0, 0, 0, 0, 86508, 0, 0, 0, 0, 0, 131352, 0, 0, 0, 0, 0, -12372, 0, 0, 0, 0, 0, -71928, 0, 0, 0, 0, 0, 252132, 0, 0, 0, 0, 0, -25998, 0, 0, 0, 0, 0, 40152, 0, 0, 0, 0, 0, 109344, 0, 0, 0, 0, 0, 17496, 0, 0, 0, 0, 0, -102678, 0, 0, 0, 0, 0, -10716, 0, 0, 0, 0, 0, 17124, 0, 0, 0, 0, 0, 4746, 0, 0, 0, 0, 0, -168000, 0, 0, 0, 0, 0, -7776, 0, 0, 0, 0, 0, 3792, 0, 0, 0, 0, 0, -118920, 0, 0, 0, 0, 0, 53784, 0, 0, 0, 0, 0, 11340, 0, 0, 0, 0, 0, -23496, 0, 0, 0, 0, 0, 41784, 0, 0, 0, 0, 0, 103674, 0, 0, 0, 0, 0, 119892, 0, 0, 0, 0, 0, 30780, 0, 0, 0, 0, 0, -40242, 0, 0, 0, 0, 0, -70800, 0, 0, 0, 0, 0, -41838, 0, 0, 0, 0, 0, -54888, 0, 0, 0, 0, 0, -229392, 0, 0, 0, 0, 0, -185052, 0, 0, 0, 0, 0, -95172, 0, 0, 0, 0, 0, -17160, 0, 0, 0, 0, 0, 24738, 0, 0, 0, 0, 0, 274590, 0, 0, 0, 0, 0, 131544, 0, 0, 0, 0, 0, 162156, 0, 0, 0, 0, 0, 24462, 0, 0, 0, 0, 0, 152004, 0, 0, 0, 0, 0, 72822, 0, 0, 0, 0, 0, 29952, 0, 0, 0, 0, 0, 159780, 0, 0, 0, 0, 0, 46008, 0, 0, 0, 0, 0, -39036, 0, 0, 0, 0, 0, -196992, 0, 0, 0, 0, 0, -140382, 0, 0, 0, 0, 0, -60522, 0, 0, 0, 0, 0, -598548, 0, 0, 0, 0, 0, -16524, 0, 0, 0, 0, 0, -66420, 0, 0, 0, 0, 0, -50460, 0, 0, 0, 0, 0, 175854, 0, 0, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 248939
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '324.4.e.d', 'source_level': 324, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '108.4.a.c', 'target_level': 108, 'twist_class_label': '108.4.a.c', 'twist_class_level': 108, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 248940
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '324.4.e.d', 'source_level': 324, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '108.4.a.c', 'target_level': 108, 'twist_class_label': '108.4.a.c', 'twist_class_level': 108, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 248941
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '324.4.e.d', 'source_level': 324, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '324.4.e.d', 'target_level': 324, 'twist_class_label': '108.4.a.c', 'twist_class_level': 108, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 248942
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': -3, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '324.4.e.d', 'source_level': 324, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '324.4.e.d', 'target_level': 324, 'twist_class_label': '108.4.a.c', 'twist_class_level': 108, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 248943
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '324.4.e.d', 'source_level': 324, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '324.4.e.d', 'target_level': 324, 'twist_class_label': '108.4.a.c', 'twist_class_level': 108, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 248944
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '324.4.e.d', 'source_level': 324, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '324.4.e.d', 'target_level': 324, 'twist_class_label': '108.4.a.c', 'twist_class_level': 108, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 248945
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '324.4.e.d', 'source_level': 324, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '432.4.a.g', 'target_level': 432, 'twist_class_label': '108.4.a.c', 'twist_class_level': 108, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 248946
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '324.4.e.d', 'source_level': 324, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '432.4.a.g', 'target_level': 432, 'twist_class_label': '108.4.a.c', 'twist_class_level': 108, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 248947
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '324.4.e.d', 'source_level': 324, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '1728.4.a.p', 'target_level': 1728, 'twist_class_label': '108.4.a.c', 'twist_class_level': 108, 'twisting_char_label': '72.l', 'twisting_char_orbit': 12, 'weight': 4}
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id: 248948
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '324.4.e.d', 'source_level': 324, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '1728.4.a.p', 'target_level': 1728, 'twist_class_label': '108.4.a.c', 'twist_class_level': 108, 'twisting_char_label': '72.p', 'twisting_char_orbit': 16, 'weight': 4}
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id: 248949
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '324.4.e.d', 'source_level': 324, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '1728.4.a.q', 'target_level': 1728, 'twist_class_label': '108.4.a.c', 'twist_class_level': 108, 'twisting_char_label': '72.j', 'twisting_char_orbit': 10, 'weight': 4}
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id: 248950
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '324.4.e.d', 'source_level': 324, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '1728.4.a.q', 'target_level': 1728, 'twist_class_label': '108.4.a.c', 'twist_class_level': 108, 'twisting_char_label': '72.n', 'twisting_char_orbit': 14, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 710025
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511073827127620, 'p': 2}
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id: 710026
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511073827127620, 'p': 3}
-
id: 710027
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511073827127620, 'p': 5}
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id: 710028
{'charpoly_factorization': [[[289, 17, 1], 1]], 'hecke_orbit_code': 13511073827127620, 'p': 7}
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id: 710029
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511073827127620, 'p': 11}
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id: 710030
{'charpoly_factorization': [[[7921, 89, 1], 1]], 'hecke_orbit_code': 13511073827127620, 'p': 13}
-
id: 710031
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511073827127620, 'p': 17}
-
id: 710032
{'charpoly_factorization': [[[-107, 1], 2]], 'hecke_orbit_code': 13511073827127620, 'p': 19}
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id: 710033
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511073827127620, 'p': 23}
-
id: 710034
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511073827127620, 'p': 29}
-
id: 710035
{'charpoly_factorization': [[[94864, 308, 1], 1]], 'hecke_orbit_code': 13511073827127620, 'p': 31}
-
id: 710036
{'charpoly_factorization': [[[433, 1], 2]], 'hecke_orbit_code': 13511073827127620, 'p': 37}
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id: 710037
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511073827127620, 'p': 41}
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id: 710038
{'charpoly_factorization': [[[270400, -520, 1], 1]], 'hecke_orbit_code': 13511073827127620, 'p': 43}
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id: 710039
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511073827127620, 'p': 47}
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id: 710040
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511073827127620, 'p': 53}
-
id: 710041
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511073827127620, 'p': 59}
-
id: 710042
{'charpoly_factorization': [[[811801, -901, 1], 1]], 'hecke_orbit_code': 13511073827127620, 'p': 61}
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id: 710043
{'charpoly_factorization': [[[1014049, 1007, 1], 1]], 'hecke_orbit_code': 13511073827127620, 'p': 67}
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id: 710044
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511073827127620, 'p': 71}
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id: 710045
{'charpoly_factorization': [[[271, 1], 2]], 'hecke_orbit_code': 13511073827127620, 'p': 73}
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id: 710046
{'charpoly_factorization': [[[253009, 503, 1], 1]], 'hecke_orbit_code': 13511073827127620, 'p': 79}
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id: 710047
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511073827127620, 'p': 83}
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id: 710048
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511073827127620, 'p': 89}
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id: 710049
{'charpoly_factorization': [[[3433609, 1853, 1], 1]], 'hecke_orbit_code': 13511073827127620, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 4, 'label': '324.4.e.d', 'level': 324, 'portrait': 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', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
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id: 141585000
{'hecke_orbit_code': 13511073827127620, 'n': 1, 'trace_an': 2}
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id: 141585001
{'hecke_orbit_code': 13511073827127620, 'n': 2, 'trace_an': 0}
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id: 141585002
{'hecke_orbit_code': 13511073827127620, 'n': 3, 'trace_an': 0}
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id: 141585003
{'hecke_orbit_code': 13511073827127620, 'n': 4, 'trace_an': 0}
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id: 141585004
{'hecke_orbit_code': 13511073827127620, 'n': 5, 'trace_an': 0}
-
id: 141585005
{'hecke_orbit_code': 13511073827127620, 'n': 6, 'trace_an': 0}
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id: 141585006
{'hecke_orbit_code': 13511073827127620, 'n': 7, 'trace_an': -17}
-
id: 141585007
{'hecke_orbit_code': 13511073827127620, 'n': 8, 'trace_an': 0}
-
id: 141585008
{'hecke_orbit_code': 13511073827127620, 'n': 9, 'trace_an': 0}
-
id: 141585009
{'hecke_orbit_code': 13511073827127620, 'n': 10, 'trace_an': 0}
-
id: 141585010
{'hecke_orbit_code': 13511073827127620, 'n': 11, 'trace_an': 0}
-
id: 141585011
{'hecke_orbit_code': 13511073827127620, 'n': 12, 'trace_an': 0}
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id: 141585012
{'hecke_orbit_code': 13511073827127620, 'n': 13, 'trace_an': -89}
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id: 141585013
{'hecke_orbit_code': 13511073827127620, 'n': 14, 'trace_an': 0}
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id: 141585014
{'hecke_orbit_code': 13511073827127620, 'n': 15, 'trace_an': 0}
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id: 141585015
{'hecke_orbit_code': 13511073827127620, 'n': 16, 'trace_an': 0}
-
id: 141585016
{'hecke_orbit_code': 13511073827127620, 'n': 17, 'trace_an': 0}
-
id: 141585017
{'hecke_orbit_code': 13511073827127620, 'n': 18, 'trace_an': 0}
-
id: 141585018
{'hecke_orbit_code': 13511073827127620, 'n': 19, 'trace_an': 214}
-
id: 141585019
{'hecke_orbit_code': 13511073827127620, 'n': 20, 'trace_an': 0}
-
id: 141585020
{'hecke_orbit_code': 13511073827127620, 'n': 21, 'trace_an': 0}
-
id: 141585021
{'hecke_orbit_code': 13511073827127620, 'n': 22, 'trace_an': 0}
-
id: 141585022
{'hecke_orbit_code': 13511073827127620, 'n': 23, 'trace_an': 0}
-
id: 141585023
{'hecke_orbit_code': 13511073827127620, 'n': 24, 'trace_an': 0}
-
id: 141585024
{'hecke_orbit_code': 13511073827127620, 'n': 25, 'trace_an': 125}
-
id: 141585025
{'hecke_orbit_code': 13511073827127620, 'n': 26, 'trace_an': 0}
-
id: 141585026
{'hecke_orbit_code': 13511073827127620, 'n': 27, 'trace_an': 0}
-
id: 141585027
{'hecke_orbit_code': 13511073827127620, 'n': 28, 'trace_an': 0}
-
id: 141585028
{'hecke_orbit_code': 13511073827127620, 'n': 29, 'trace_an': 0}
-
id: 141585029
{'hecke_orbit_code': 13511073827127620, 'n': 30, 'trace_an': 0}
-
id: 141585030
{'hecke_orbit_code': 13511073827127620, 'n': 31, 'trace_an': -308}
-
id: 141585031
{'hecke_orbit_code': 13511073827127620, 'n': 32, 'trace_an': 0}
-
id: 141585032
{'hecke_orbit_code': 13511073827127620, 'n': 33, 'trace_an': 0}
-
id: 141585033
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{'hecke_orbit_code': 13511073827127620, 'n': 993, 'trace_an': 0}
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id: 141585993
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id: 141585994
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id: 141585995
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id: 141585996
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id: 141585997
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id: 141585998
{'hecke_orbit_code': 13511073827127620, 'n': 999, 'trace_an': 0}
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id: 141585999
{'hecke_orbit_code': 13511073827127620, 'n': 1000, 'trace_an': 0}