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mf_newforms • Show schema
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{'Nk2': 2548, 'analytic_conductor': 5.086470608755561, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 91, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 18, 'char_orbit_label': 'r', 'char_order': 6, 'char_parity': 1, 'char_values': [637, 6, [248, 197], [4, 3]], 'cm_discs': [], 'conrey_index': 116, 'conrey_indexes': [116, 324], 'dim': 16, 'field_disc': 2887979526699612107509334016, 'field_disc_factorization': [[2, 24], [3, 8], [11, 4], [13, 4], [89, 4]], 'field_poly': [9, 0, -93, 0, 853, 0, -1050, 0, 952, 0, -334, 0, 85, 0, -11, 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': [[2, [9, 0, -93, 0, 853, 0, -1050, 0, 952, 0, -334, 0, 85, 0, -11, 0, 1]], [3, [4, 20, 114, -62, 67, -6, 11, -2, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22519166401512061, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 3, 1, 3, 0], [1, 1, 13, 2, 1, 2, 0], [1, 1, 91, 18, 1, 6, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '637.2.r.f', 'level': 637, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [7, 13], 'level_radical': 91, 'minimal_twist': '91.2.r.a', 'prim_orbit_index': 18, 'qexp_display': 'q+(-\\beta _{1}-\\beta _{8})q^{2}+(1-\\beta _{4}-\\beta _{7})q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '637.2.r', 'trace_display': [0, 4, 0, 0], 'trace_hash': 1604052067407881345, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.149', 'prec': 17}, {'__RealLiteral__': 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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, -1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0], [0, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, -1, 1, 0], [0, 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, -1, 0, 0], [1, 0, 0, 0, -1, 1, 0, -2, 0, 1, 0, 0, -1, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [1, 0, 0, -1, -1, 1, 0, -3, 0, 1, 0, -1, -1, 0, 0, 0], [1, 0, 1, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, -1, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -1, 0, 2, 0, 0, 0, 0, 0, -1, 0], [1, 0, 0, 1, -1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0], [0, 3, 0, 0, 0, 0, 3, 0, 0, 0, -1, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -1, 0, 0], [0, 0, 0, 0, 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0, 0, 6, 0, 0, 0, 0, 0], [5, 0, 0, 0, 3, 0, 0, -5, 0, 0, 0, 4, -2, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -2, 0, 0, 0, 0]], 'char_orbit_index': 18, 'field_poly': [9, 0, -93, 0, 853, 0, -1050, 0, 952, 0, -334, 0, 85, 0, -11, 0, 1], 'hecke_orbit_code': 22519166401512061, 'hecke_ring_character_values': [[248, [0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0]], [197, [-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, 14163622, 14163622, 42490866, 14163622, 14163622, 42490866, 42490866, 7081811, 14163622, 14163622, 95271, 42490866, 3862806, 42490866], '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], [0, 0, 0, 1, 0, 0, 0, 3, 0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, -1, 0, 0], [-14, 0, 0, 0, 1, 0, 0, 14, 0, 0, 0, 5, 0, 0, 0, 0], [0, -19, 0, 0, 0, 0, 0, 0, -19, 0, 0, 0, 0, -6, 1, 0], [-61, 0, 0, -24, 0, 8, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, -94, -31, 0, 0, 0, -10, 0, 0, 0, 1, 0, 0, 0, 0, 0], [52, 0, 0, -115, -52, 52, 0, -345, 0, 11, 0, -115, -11, 0, 0, 0], [0, 0, -156, 0, 0, 0, -74, 0, 471, 0, 0, 0, 0, 156, -74, 11], [1736, 0, 0, 0, -315, 0, 0, -1736, 0, 0, 0, -553, -85, 0, 0, 0], [0, 2374, 0, 0, 0, 0, 0, 0, 2374, 0, -85, 0, 0, 783, -485, 85], [6935, 0, 0, 2672, 0, -1838, 0, 0, 0, -570, 0, 0, 0, 0, 0, 0], [0, 12015, 3940, 0, 0, 0, 2978, 0, 0, 0, -570, 0, 0, 0, 0, 0], [-10466, 0, 0, 12977, 10466, -10466, 0, 44495, 0, -3548, 0, 12977, 3548, 0, 0, 0], [0, 0, 19895, 0, 0, 0, 17562, 0, -61020, 0, 0, 0, 0, -19895, 17562, -3548]], '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], [0, -55035781, 0, -690027, 0, 6321845, 0, -17193085, 0, 6411671, 0, -1852321, 0, 246060, 0, -24498], [-40872159, 0, -690027, 0, 6321845, 0, -17193085, 0, 6411671, 0, -1852321, 0, 246060, 0, -24498, 0], [-23829231, 0, 218482087, 0, -377649654, 0, 236538400, 0, -78484018, 0, 17340370, 0, -2170865, 0, 172099, 0], [-20454191, 0, -2790528, 0, 25566080, 0, -66564370, 0, 25929344, 0, -7490944, 0, 1000291, 0, -99072, 0], [0, 61326350, 0, 3480555, 0, -31887925, 0, 83757455, 0, -32341015, 0, 9343265, 0, -1246351, 0, 123570], [-5618970, 0, 441286822, 0, -514968195, 0, 494434675, 0, -174659083, 0, 45125185, 0, -5861765, 0, 539569, 0], [0, 5618970, 0, -441286822, 0, 514968195, 0, -494434675, 0, 174659083, 0, -45125185, 0, 5861765, 0, -539569], [23341327, 0, 2881788, 0, -26402180, 0, 67022271, 0, -26777324, 0, 7735924, 0, -1048444, 0, 102312, 0], [0, 238534757, 0, 13414713, 0, -122902055, 0, 318752537, 0, -124648349, 0, 36010699, 0, -4835650, 0, 476262], [46491129, 0, -426433173, 0, 508646350, 0, -477241590, 0, 168247412, 0, -43272864, 0, 5615705, 0, -515071, 0], [366555, 0, -3361729, 0, 4460568, 0, -3722089, 0, 1287475, 0, -317920, 0, 40712, 0, 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{'Nk2': 2548, 'analytic_conductor': 5.086470608755561, 'char_conductor': 91, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 18, 'char_orbit_label': 'r', 'char_order': 6, 'char_parity': 1, 'char_values': [637, 6, [248, 197], [4, 3]], 'conrey_index': 116, 'cusp_dim': 116, 'dim': 84, 'eis_dim': 32, 'eis_new_dim': 16, 'hecke_cutter_primes': [2, 3], 'hecke_orbit_code': 1168264659581, 'hecke_orbit_dims': [4, 4, 4, 12, 12, 16, 32], 'label': '637.2.r', 'level': 637, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [7, 13], 'level_radical': 91, 'mf_dim': 148, 'mf_new_dim': 100, 'num_forms': 7, 'prim_orbit_index': 18, 'relative_dim': 42, 'sturm_bound': 130, 'trace_bound': 12, 'trace_display': [0, 4, 0, 0], 'traces': [84, 0, 4, 38, 0, 0, 0, 0, -22, 6, 0, -18, 12, 0, 0, -34, -8, 0, 0, 0, 0, 12, 22, 0, 28, 6, -32, 0, 4, -10, 0, 0, 0, 0, 0, 24, 0, -34, -14, 4, 0, 0, -116, 0, 0, 0, 0, -36, 0, 0, 24, 42, -22, 0, -24, 0, 0, 0, 0, 0, 12, -44, 0, -176, 20, -2, 0, 2, 56, 0, 0, 0, 0, -54, -8, 0, 0, 36, -62, 0, 38, 16, 0, 0, 0, 0, 68, -52, 0, 216, 0, -28, 0, 26, -34, 0, 0, 0, 0, 156, 8, 0, -32, -52, 0, 0, 8, -106, 0, 0, 0, 0, -124, 30, 0, 56, -28, 76, 0, 320, -46, 0, 0, 0, 0, 0, 112, 0, -76, -100, 32, 0, 0, 12, 0, 0, 0, 0, -96, 0, 0, -88, 10, 148, 0, -92, 0, 0, 0, 0, 0, -20, -160, 0, -108, 74, -64, 0, 40, 76, 0, 0, 0, 0, -136, 104, 0, 0, -20, -30, 0, -144, -52, 0, 0, 0, 0, 82, -50, 0, 136, 0, -224, 0, 36, 138, 0, 0, 0, 0, 40, 132, 0, 36, -84, 0, 0, -12, -92, 0, 0, 0, 0, 372, -44, 0, 150, 24, 80, 0, 92, 94, 0, 0, 0, 0, 0, -132, 0, -110, 66, -66, 0, 0, -144, 0, 0, 0, 0, -100, 0, 0, -166, 104, 50, 0, 64, 0, 0, 0, 0, 0, 92, -132, 0, -232, 8, -40, 0, -94, 160, 0, 0, 0, 0, -70, -32, 0, 0, 208, 78, 0, -58, -40, 0, 0, 0, 0, 152, -142, 0, 28, 0, -100, 0, 10, 158, 0, 0, 0, 0, 38, 20, 0, -52, -64, 0, 0, 18, -136, 0, 0, 0, 0, 136, -12, 0, 134, 6, 40, 0, -300, -156, 0, 0, 0, 0, 0, 352, 0, -120, -210, -92, 0, 0, -356, 0, 0, 0, 0, -264, 0, 0, 54, 56, -126, 0, 88, 0, 0, 0, 0, 0, -24, 184, 0, 228, -144, -88, 0, 88, 96, 0, 0, 0, 0, -136, 20, 0, 0, -20, -62, 0, 174, 76, 0, 0, 0, 0, 120, 128, 0, 104, 0, 132, 0, 40, 214, 0, 0, 0, 0, -20, 106, 0, -84, -72, 0, 0, 178, 8, 0, 0, 0, 0, 300, 286, 0, 176, 100, 0, 0, -312, -144, 0, 0, 0, 0, 0, 248, 0, -238, -36, 110, 0, 0, -216, 0, 0, 0, 0, -212, 0, 0, -26, 76, 16, 0, -64, 0, 0, 0, 0, 0, 84, -192, 0, 76, 150, 12, 0, -46, 40, 0, 0, 0, 0, -186, -104, 0, 0, 204, -62, 0, 70, -164, 0, 0, 0, 0, 76, -284, 0, 172, 0, 72, 0, -110, 60, 0, 0, 0, 0, -128, 76, 0, 0, -208, 0, 0, -296, -28, 0, 0, 0, 0, 300, -52, 0, 238, -54, 28, 0, -368, -58, 0, 0, 0, 0, 0, -376, 0, -36, 0, -64, 0, 0, 296, 0, 0, 0, 0, -168, 0, 0, -414, 88, 300, 0, 92, 0, 0, 0, 0, 0, -40, -144, 0, -384, 130, 8, 0, 24, 460, 0, 0, 0, 0, 4, 22, 0, 0, 472, 86, 0, 144, 132, 0, 0, 0, 0, 46, -56, 0, -56, 0, 156, 0, -20, -92, 0, 0, 0, 0, -48, 84, 0, 96, -40, 0, 0, 368, -136, 0, 0, 0, 0, 88, 286, 0, -314, 120, 424, 0, -32, -196, 0, 0, 0, 0, 0, -96, 0, -52, -42, 84, 0, 0, 588, 0, 0, 0, 0, -44, 0, 0, 212, 2, -94, 0, -16, 0, 0, 0, 0, 0, 64, -20, 0, -124, 200, -120, 0, -136, -208, 0, 0, 0, 0, -126, -28, 0, 0, -144, 294, 0, -540, 14, 0, 0, 0, 0, 160, -94, 0, 316, 0, -1080, 0, -42, -206, 0, 0, 0, 0, 438, -108, 0, 48, -264, 0, 0, 68, -74, 0, 0, 0, 0, -340, -210, 0, 270, -78, 48, 0, -48, 58, 0, 0, 0, 0, 0, 308, 0, -36, -26, -48, 0, 0, -720, 0, 0, 0, 0, 8, 0, 0, 96, -90, -150, 0, -244, 0, 0, 0, 0, 0, -72, 216, 0, -340, -414, -24, 0, 128, -52, 0, 0, 0, 0, 190, 88, 0, 0, 116, -478, 0, 158, -136, 0, 0, 0, 0, 36, -80, 0, 168, 0, -268, 0, 120, -78, 0, 0, 0, 0, 84, 204, 0, 30, 100, 0, 0, 96, 104, 0, 0, 0, 0, -68, 46, 0, -36, 52, -24, 0, 428, 192, 0, 0, 0, 0, 0, 260, 0, -98, -70, 2, 0, 0, 408, 0, 0, 0, 0, 128, 0, 0, -248, -28, 176, 0, 96, 0, 0, 0, 0, 0, 116, -204, 0, -280, 10, 162, 0, 2, 256, 0, 0, 0, 0, -30, -148, 0, 0, -360, 24, 0, -310, -50, 0, 0, 0, 0, 64, 366, 0, -412, 0, -312, 0, -14, 276, 0, 0, 0, 0, 12, -28, 0, -188, 268, 0, 0, -206, 22, 0, 0, 0, 0, 16, -432, 0, 120, -112, -520, 0, 1196, 208, 0, 0, 0, 0, 0, -204, 0, -8, -28, -48, 0, 0, 284, 0, 0, 0, 0, 112, 0, 0, 144, -18, -60, 0, 140, 0, 0, 0, 0, 0, -134, -8, 0, 56, 126, -136, 0, 240, -264, 0, 0, 0, 0, -202, 326, 0, 0, -492, 56, 0, 172, -12, 0, 0, 0, 0, -266, 138, 0, 0, 0, 1060, 0, 8, 486, 0, 0, 0, 0, -376, -16, 0, -36, -144, 0, 0, -12, 76, 0, 0, 0, 0, 508, -288, 0, 24, -24, 64, 0, -512, -154, 0, 0, 0, 0, 0, 64, 0, 178, -12, 48, 0, 0, -820, 0, 0, 0, 0, 156, 0, 0, 120, 144, 408, 0, -448, 0, 0, 0, 0, 0, 152, 72, 0, 1212, -124, 42, 0, -254, -400, 0, 0, 0, 0, 64, 28, 0, 0, -800, 6, 0, 172, -70, 0, 0, 0, 0, -12, -30, 0, -192], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 426755
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 16, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '637.2.r.f', 'source_level': 637, 'target_char_orbit': 18, 'target_dim': 16, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '91.2.r.a', 'target_level': 91, 'twist_class_label': '91.2.r.a', 'twist_class_level': 91, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 426756
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 16, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '637.2.r.f', 'source_level': 637, 'target_char_orbit': 18, 'target_dim': 16, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '91.2.r.a', 'target_level': 91, 'twist_class_label': '91.2.r.a', 'twist_class_level': 91, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 426757
{'conductor': 91, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 16, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '637.2.r.f', 'source_level': 637, 'target_char_orbit': 18, 'target_dim': 16, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '91.2.r.a', 'target_level': 91, 'twist_class_label': '91.2.r.a', 'twist_class_level': 91, 'twisting_char_label': '91.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 426758
{'conductor': 91, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 16, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '637.2.r.f', 'source_level': 637, 'target_char_orbit': 18, 'target_dim': 16, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '91.2.r.a', 'target_level': 91, 'twist_class_label': '91.2.r.a', 'twist_class_level': 91, 'twisting_char_label': '91.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 426759
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 16, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '637.2.r.f', 'source_level': 637, 'target_char_orbit': 3, 'target_dim': 8, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '637.2.c.e', 'target_level': 637, 'twist_class_label': '91.2.r.a', 'twist_class_level': 91, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 426760
{'conductor': 91, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 16, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '637.2.r.f', 'source_level': 637, 'target_char_orbit': 3, 'target_dim': 8, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '637.2.c.e', 'target_level': 637, 'twist_class_label': '91.2.r.a', 'twist_class_level': 91, 'twisting_char_label': '91.r', 'twisting_char_orbit': 18, 'weight': 2}
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id: 426761
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 16, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '637.2.r.f', 'source_level': 637, 'target_char_orbit': 3, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '637.2.c.f', 'target_level': 637, 'twist_class_label': '91.2.r.a', 'twist_class_level': 91, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 426762
{'conductor': 91, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 16, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '637.2.r.f', 'source_level': 637, 'target_char_orbit': 3, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '637.2.c.f', 'target_level': 637, 'twist_class_label': '91.2.r.a', 'twist_class_level': 91, 'twisting_char_label': '91.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 426763
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 18, 'source_dim': 16, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '637.2.r.f', 'source_level': 637, 'target_char_orbit': 18, 'target_dim': 16, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '637.2.r.f', 'target_level': 637, 'twist_class_label': '91.2.r.a', 'twist_class_level': 91, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 426764
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 16, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '637.2.r.f', 'source_level': 637, 'target_char_orbit': 18, 'target_dim': 16, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '637.2.r.f', 'target_level': 637, 'twist_class_label': '91.2.r.a', 'twist_class_level': 91, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 426765
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 16, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '637.2.r.f', 'source_level': 637, 'target_char_orbit': 18, 'target_dim': 16, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '637.2.r.f', 'target_level': 637, 'twist_class_label': '91.2.r.a', 'twist_class_level': 91, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 426766
{'conductor': 91, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 16, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '637.2.r.f', 'source_level': 637, 'target_char_orbit': 18, 'target_dim': 16, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '637.2.r.f', 'target_level': 637, 'twist_class_label': '91.2.r.a', 'twist_class_level': 91, 'twisting_char_label': '91.r', 'twisting_char_orbit': 18, 'weight': 2}
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id: 426767
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 16, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '637.2.r.f', 'source_level': 637, 'target_char_orbit': 90, 'target_dim': 16, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '819.2.dl.e', 'target_level': 819, 'twist_class_label': '91.2.r.a', 'twist_class_level': 91, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 426768
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 16, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '637.2.r.f', 'source_level': 637, 'target_char_orbit': 90, 'target_dim': 16, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '819.2.dl.e', 'target_level': 819, 'twist_class_label': '91.2.r.a', 'twist_class_level': 91, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 426769
{'conductor': 273, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 16, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '637.2.r.f', 'source_level': 637, 'target_char_orbit': 90, 'target_dim': 16, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '819.2.dl.e', 'target_level': 819, 'twist_class_label': '91.2.r.a', 'twist_class_level': 91, 'twisting_char_label': '273.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 426770
{'conductor': 273, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 16, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '637.2.r.f', 'source_level': 637, 'target_char_orbit': 90, 'target_dim': 16, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '819.2.dl.e', 'target_level': 819, 'twist_class_label': '91.2.r.a', 'twist_class_level': 91, 'twisting_char_label': '273.ba', 'twisting_char_orbit': 27, 'weight': 2}
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id: 426771
{'conductor': 91, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 16, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '637.2.r.f', 'source_level': 637, 'target_char_orbit': 5, 'target_dim': 16, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1183.2.e.i', 'target_level': 1183, 'twist_class_label': '91.2.r.a', 'twist_class_level': 91, 'twisting_char_label': '91.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 426772
{'conductor': 91, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 16, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '637.2.r.f', 'source_level': 637, 'target_char_orbit': 5, 'target_dim': 16, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1183.2.e.i', 'target_level': 1183, 'twist_class_label': '91.2.r.a', 'twist_class_level': 91, 'twisting_char_label': '91.bb', 'twisting_char_orbit': 28, 'weight': 2}
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id: 426773
{'conductor': 91, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 16, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '637.2.r.f', 'source_level': 637, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 62, 'target_is_minimal': False, 'target_label': '8281.2.a.cj', 'target_level': 8281, 'twist_class_label': '91.2.r.a', 'twist_class_level': 91, 'twisting_char_label': '91.z', 'twisting_char_orbit': 26, 'weight': 2}
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id: 426774
{'conductor': 91, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 16, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '637.2.r.f', 'source_level': 637, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 63, 'target_is_minimal': False, 'target_label': '8281.2.a.ck', 'target_level': 8281, 'twist_class_label': '91.2.r.a', 'twist_class_level': 91, 'twisting_char_label': '91.bb', 'twisting_char_orbit': 28, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1148650
{'charpoly_factorization': [[[9, 0, -93, 0, 853, 0, -1050, 0, 952, 0, -334, 0, 85, 0, -11, 0, 1], 1]], 'hecke_orbit_code': 22519166401512061, 'p': 2}
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id: 1148651
{'charpoly_factorization': [[[4, 20, 114, -62, 67, -6, 11, -2, 1], 2]], 'hecke_orbit_code': 22519166401512061, 'p': 3}
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id: 1148652
{'charpoly_factorization': [[[2304, 0, -7680, 0, 20656, 0, -14560, 0, 7361, 0, -1740, 0, 297, 0, -20, 0, 1], 1]], 'hecke_orbit_code': 22519166401512061, 'p': 5}
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id: 1148653
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 22519166401512061, 'p': 7}
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id: 1148654
{'charpoly_factorization': [[[729, 0, -9180, 0, 99508, 0, -199832, 0, 337509, 0, -30312, 0, 2108, 0, -52, 0, 1], 1]], 'hecke_orbit_code': 22519166401512061, 'p': 11}
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id: 1148655
{'charpoly_factorization': [[[28561, -13182, 4732, -1690, 598, -130, 28, -6, 1], 2]], 'hecke_orbit_code': 22519166401512061, 'p': 13}
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id: 1148656
{'charpoly_factorization': [[[15129, -6396, 5164, 56, 485, 24, 36, 4, 1], 2]], 'hecke_orbit_code': 22519166401512061, 'p': 17}
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id: 1148657
{'charpoly_factorization': [[[10673289, 0, -7618644, 0, 3674044, 0, -971784, 0, 185725, 0, -19096, 0, 1396, 0, -44, 0, 1], 1]], 'hecke_orbit_code': 22519166401512061, 'p': 19}
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id: 1148658
{'charpoly_factorization': [[[36, 60, 130, 22, 91, 50, 31, 6, 1], 2]], 'hecke_orbit_code': 22519166401512061, 'p': 23}
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id: 1148659
{'charpoly_factorization': [[[624, -208, -63, 4, 1], 4]], 'hecke_orbit_code': 22519166401512061, 'p': 29}
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id: 1148660
{'charpoly_factorization': [[[1136229264, 0, -657036336, 0, 309454636, 0, -35364492, 0, 2779213, 0, -128296, 0, 4309, 0, -80, 0, 1], 1]], 'hecke_orbit_code': 22519166401512061, 'p': 31}
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id: 1148661
{'charpoly_factorization': [[[76527504, 0, -433655856, 0, 2419355628, 0, -213389964, 0, 12939021, 0, -422496, 0, 10053, 0, -120, 0, 1], 1]], 'hecke_orbit_code': 22519166401512061, 'p': 37}
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id: 1148662
{'charpoly_factorization': [[[292032, 0, 88192, 0, 5732, 0, 132, 0, 1], 2]], 'hecke_orbit_code': 22519166401512061, 'p': 41}
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id: 1148663
{'charpoly_factorization': [[[-104, -156, -66, -4, 1], 4]], 'hecke_orbit_code': 22519166401512061, 'p': 43}
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id: 1148664
{'charpoly_factorization': [[[57728231289, 0, -58599199164, 0, 56549167060, 0, -2884224440, 0, 101089845, 0, -1905768, 0, 26204, 0, -196, 0, 1], 1]], 'hecke_orbit_code': 22519166401512061, 'p': 47}
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id: 1148665
{'charpoly_factorization': [[[7569, -11310, 16900, -1740, 1213, 260, 100, 10, 1], 2]], 'hecke_orbit_code': 22519166401512061, 'p': 53}
-
id: 1148666
{'charpoly_factorization': [[[12487392009, 0, -18073959780, 0, 24989166028, 0, -1652371368, 0, 79227709, 0, -1646008, 0, 24868, 0, -188, 0, 1], 1]], 'hecke_orbit_code': 22519166401512061, 'p': 59}
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id: 1148667
{'charpoly_factorization': [[[49729, 20962, 14188, 420, 917, -44, 60, -6, 1], 2]], 'hecke_orbit_code': 22519166401512061, 'p': 61}
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id: 1148668
{'charpoly_factorization': [[[66330457209, 0, -73439011956, 0, 75732974260, 0, -6027737800, 0, 387569525, 0, -5578872, 0, 59004, 0, -284, 0, 1], 1]], 'hecke_orbit_code': 22519166401512061, 'p': 67}
-
id: 1148669
{'charpoly_factorization': [[[397488, 0, 253084, 0, 19829, 0, 292, 0, 1], 2]], 'hecke_orbit_code': 22519166401512061, 'p': 71}
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id: 1148670
{'charpoly_factorization': [[[8437677133824, 0, -1371747640320, 0, 164987876800, 0, -7922514640, 0, 273313457, 0, -4249020, 0, 47625, 0, -260, 0, 1], 1]], 'hecke_orbit_code': 22519166401512061, 'p': 73}
-
id: 1148671
{'charpoly_factorization': [[[64, -480, 3672, 380, 689, -210, 91, -10, 1], 2]], 'hecke_orbit_code': 22519166401512061, 'p': 79}
-
id: 1148672
{'charpoly_factorization': [[[5483712, 0, 959920, 0, 28692, 0, 296, 0, 1], 2]], 'hecke_orbit_code': 22519166401512061, 'p': 83}
-
id: 1148673
{'charpoly_factorization': [[[58102628210064, 0, -22401057000432, 0, 8157120819724, 0, -178140025756, 0, 2655587933, 0, -21797952, 0, 130701, 0, -440, 0, 1], 1]], 'hecke_orbit_code': 22519166401512061, 'p': 89}
-
id: 1148674
{'charpoly_factorization': [[[192, 0, 4816, 0, 2740, 0, 104, 0, 1], 2]], 'hecke_orbit_code': 22519166401512061, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 18, 'hecke_orbit': 6, 'label': '637.2.r.f', 'level': 637, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 173842000
{'hecke_orbit_code': 22519166401512061, 'n': 1, 'trace_an': 16}
-
id: 173842001
{'hecke_orbit_code': 22519166401512061, 'n': 2, 'trace_an': 0}
-
id: 173842002
{'hecke_orbit_code': 22519166401512061, 'n': 3, 'trace_an': 4}
-
id: 173842003
{'hecke_orbit_code': 22519166401512061, 'n': 4, 'trace_an': 6}
-
id: 173842004
{'hecke_orbit_code': 22519166401512061, 'n': 5, 'trace_an': 0}
-
id: 173842005
{'hecke_orbit_code': 22519166401512061, 'n': 6, 'trace_an': 0}
-
id: 173842006
{'hecke_orbit_code': 22519166401512061, 'n': 7, 'trace_an': 0}
-
id: 173842007
{'hecke_orbit_code': 22519166401512061, 'n': 8, 'trace_an': 0}
-
id: 173842008
{'hecke_orbit_code': 22519166401512061, 'n': 9, 'trace_an': -12}
-
id: 173842009
{'hecke_orbit_code': 22519166401512061, 'n': 10, 'trace_an': 6}
-
id: 173842010
{'hecke_orbit_code': 22519166401512061, 'n': 11, 'trace_an': 0}
-
id: 173842011
{'hecke_orbit_code': 22519166401512061, 'n': 12, 'trace_an': -18}
-
id: 173842012
{'hecke_orbit_code': 22519166401512061, 'n': 13, 'trace_an': 12}
-
id: 173842013
{'hecke_orbit_code': 22519166401512061, 'n': 14, 'trace_an': 0}
-
id: 173842014
{'hecke_orbit_code': 22519166401512061, 'n': 15, 'trace_an': 0}
-
id: 173842015
{'hecke_orbit_code': 22519166401512061, 'n': 16, 'trace_an': 2}
-
id: 173842016
{'hecke_orbit_code': 22519166401512061, 'n': 17, 'trace_an': -8}
-
id: 173842017
{'hecke_orbit_code': 22519166401512061, 'n': 18, 'trace_an': 0}
-
id: 173842018
{'hecke_orbit_code': 22519166401512061, 'n': 19, 'trace_an': 0}
-
id: 173842019
{'hecke_orbit_code': 22519166401512061, 'n': 20, 'trace_an': 0}
-
id: 173842020
{'hecke_orbit_code': 22519166401512061, 'n': 21, 'trace_an': 0}
-
id: 173842021
{'hecke_orbit_code': 22519166401512061, 'n': 22, 'trace_an': -36}
-
id: 173842022
{'hecke_orbit_code': 22519166401512061, 'n': 23, 'trace_an': -12}
-
id: 173842023
{'hecke_orbit_code': 22519166401512061, 'n': 24, 'trace_an': 0}
-
id: 173842024
{'hecke_orbit_code': 22519166401512061, 'n': 25, 'trace_an': 0}
-
id: 173842025
{'hecke_orbit_code': 22519166401512061, 'n': 26, 'trace_an': 6}
-
id: 173842026
{'hecke_orbit_code': 22519166401512061, 'n': 27, 'trace_an': -32}
-
id: 173842027
{'hecke_orbit_code': 22519166401512061, 'n': 28, 'trace_an': 0}
-
id: 173842028
{'hecke_orbit_code': 22519166401512061, 'n': 29, 'trace_an': -16}
-
id: 173842029
{'hecke_orbit_code': 22519166401512061, 'n': 30, 'trace_an': 38}
-
id: 173842030
{'hecke_orbit_code': 22519166401512061, 'n': 31, 'trace_an': 0}
-
id: 173842031
{'hecke_orbit_code': 22519166401512061, 'n': 32, 'trace_an': 0}
-
id: 173842032
{'hecke_orbit_code': 22519166401512061, 'n': 33, 'trace_an': 0}
-
id: 173842033
{'hecke_orbit_code': 22519166401512061, 'n': 34, 'trace_an': 0}
-
id: 173842034
{'hecke_orbit_code': 22519166401512061, 'n': 35, 'trace_an': 0}
-
id: 173842035
{'hecke_orbit_code': 22519166401512061, 'n': 36, 'trace_an': -56}
-
id: 173842036
{'hecke_orbit_code': 22519166401512061, 'n': 37, 'trace_an': 0}
-
id: 173842037
{'hecke_orbit_code': 22519166401512061, 'n': 38, 'trace_an': -34}
-
id: 173842038
{'hecke_orbit_code': 22519166401512061, 'n': 39, 'trace_an': 18}
-
id: 173842039
{'hecke_orbit_code': 22519166401512061, 'n': 40, 'trace_an': 4}
-
id: 173842040
{'hecke_orbit_code': 22519166401512061, 'n': 41, 'trace_an': 0}
-
id: 173842041
{'hecke_orbit_code': 22519166401512061, 'n': 42, 'trace_an': 0}
-
id: 173842042
{'hecke_orbit_code': 22519166401512061, 'n': 43, 'trace_an': 16}
-
id: 173842043
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