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mf_newforms • Show schema
Hide schema
{'Nk2': 3267, 'analytic_conductor': 9.891033596278778, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 3, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': -1, 'char_values': [363, 2, [122, 244], [1, 2]], 'cm_discs': [], 'conrey_index': 122, 'conrey_indexes': [122], 'dim': 8, 'field_disc': 943694510000, 'field_disc_factorization': [[2, 4], [5, 4], [11, 1], [29, 2], [101, 2]], 'field_poly': [1331, 0, 1061, 0, 282, 0, 29, 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, [1331, 0, 1061, 0, 282, 0, 29, 0, 1]], [5, [2816, 0, 6576, 0, 1687, 0, 79, 0, 1]], [7, [-396, 138, 35, -14, 1]]], 'hecke_orbit': 13, 'hecke_orbit_code': 54043264298254699, 'hecke_ring_generator_nbound': 3, '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_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '363.3.b.m', 'level': 363, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 11], 'level_radical': 33, 'minimal_twist': '33.3.h.b', 'prim_orbit_index': 2, 'qexp_display': 'q+\\beta _{1}q^{2}+(-\\beta _{2}+\\beta _{4}+\\beta _{5})q^{3}+(-4+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '2.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '363.3.b', 'trace_display': [0, 5, 0, 28], 'trace_hash': 438770075512719820, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.002', 'prec': 17}, {'__RealLiteral__': 0, 'data': '6.946', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 1, 1, 0, 0], [-4, 0, -1, 1, 1, 0, 1, 0], [0, 1, 0, -1, 0, 1, 0, -1], [2, -1, 3, -2, 1, 0, 0, 0], [5, 0, 2, -1, 0, 1, 0, 1], [0, -2, 0, -2, 0, -3, 0, -2], [3, 0, 2, 0, 1, 4, 0, 3], [2, 0, 3, -2, 1, 3, 1, 3], [0, 0, 0, 0, 0, 0, 0, 0], [11, -1, 7, 1, -3, -1, 0, 3], [5, 0, 2, 3, 0, -3, 0, -3], [0, 3, 0, 5, -2, -3, 2, 3], [-4, 2, 5, 1, -1, 1, 3, 0], [5, 0, 11, -4, -3, 1, -3, 1], [0, 5, 0, 2, -5, -4, 5, -3], [-4, -1, -6, 10, 1, -6, 6, 3], [5, 0, -9, -3, -2, 1, -2, 1], [0, -2, 0, 7, -4, -6, 4, 3], [-6, -3, -9, 3, 3, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, -1, 6, 10, -6, 5], [-1, 8, -7, 10, -1, -8, 6, 0], [13, 0, 15, 0, 1, 1, 1, 1], [0, 11, 0, -7, -2, 1, 2, -9], [-6, -9, -7, 0, 1, 4, 0, 3], [-30, 0, -23, 10, 5, -5, 5, -5], [0, 2, 0, 2, -2, -2, 2, 0], [-5, -8, -13, 8, -3, -8, 9, 3], [-6, 0, -15, 0, 5, 5, 5, 5], [0, 1, 0, 9, -8, -12, 8, 1], [0, 0, 0, 0, 0, 0, 0, 0], [-21, 0, -26, 1, 3, 2, 3, 2], [0, -3, 0, 1, -4, -3, 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-36, 96, -36, 96], [0, -126, 0, 195, 51, 129, -51, 246], [85, 0, 14, 153, 137, -16, 137, -16], [188, 0, 327, -54, -89, -35, -89, -35], [0, -163, 0, -88, 89, 133, -89, 1], [-606, 0, -319, -7, 40, 47, 40, 47], [0, -347, 0, -90, 180, 261, -180, 90], [0, 197, 0, 114, -240, -169, 240, -126], [0, -208, 0, -52, 273, 247, -273, 221], [168, 0, -207, 8, -5, -13, -5, -13], [-141, 0, 190, 169, 117, -52, 117, -52], [0, -122, 0, -82, 84, 76, -84, 2], [0, -46, 0, -95, -92, -54, 92, -187], [402, 0, -370, -112, -65, 47, -65, 47], [0, -9, 0, -145, 0, -25, 0, -145], [-64, 0, 117, -14, -83, -69, -83, -69], [0, -138, 0, 37, -132, -392, 132, -95], [-100, 0, -367, -130, -91, 39, -91, 39], [494, 0, -194, -230, -118, 112, -118, 112], [-675, 0, 280, -71, -45, 26, -45, 26], [0, 248, 0, -17, 26, 298, -26, 9], [-477, 0, 179, -71, -107, -36, -107, -36], [-851, 0, -232, 25, 26, 1, 26, 1], [0, -254, 0, -105, 81, -21, -81, -24], [-163, 0, 201, 297, 135, -162, 135, -162], [0, -72, 0, 59, -210, -358, 210, -151], [-288, 0, -168, -198, -151, 47, -151, 47], [0, -118, 0, -96, 24, -132, -24, -72], [0, -227, 0, 43, 19, 24, -19, 62], [102, 0, -133, -215, -122, 93, -122, 93], [0, -186, 0, -23, 66, -62, -66, 43], [175, 0, 164, 103, 32, -71, 32, -71], [0, -102, 0, 120, 107, 299, -107, 227], [-424, 0, -747, 168, 37, -131, 37, -131], [0, -18, 0, -409, 186, 44, -186, -223], [-619, 0, -54, 103, -68, -171, -68, -171], [0, 92, 0, 34, 25, 240, -25, 59], [-753, 0, -456, 83, -35, -118, -35, -118], [0, -322, 0, -44, 200, 58, -200, 156], [569, 0, 826, 73, -64, -137, -64, -137], [0, -109, 0, -215, 91, 27, -91, -124], [92, 0, 26, -37, -45, -8, -45, -8], [0, 198, 0, 7, 156, 538, -156, 163], [387, 0, -133, 47, 22, -25, 22, -25], [0, 308, 0, 133, -216, 38, 216, -83], [-177, 0, -304, -169, -146, 23, -146, 23], [0, 424, 0, 89, -279, -359, 279, -190], [373, 0, -106, -149, -217, -68, -217, -68], [0, 413, 0, -94, -194, -109, 194, -288], [0, -127, 0, 175, 49, -96, -49, 224], [0, -236, 0, -283, 309, 84, -309, 26], [599, 0, 1135, 43, -59, -102, -59, -102], [0, 10, 0, 254, -188, -366, 188, 66], [0, -8, 0, 347, -188, 20, 188, 159], [0, 244, 0, -34, -72, -66, 72, -106], [-79, 0, 847, -71, -41, 30, -41, 30], [-67, 0, 191, -109, -195, -86, -195, -86]], 'char_orbit_index': 2, 'field_poly': [1331, 0, 1061, 0, 282, 0, 29, 0, 1], 'hecke_orbit_code': 54043264298254699, 'hecke_ring_character_values': [[122, [-1, 0, 0, 0, 0, 0, 0, 0]], [244, [1, 0, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 52, 286, 1144, 143, 1144, 286], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [-8, 0, -1, 1, 1, 0, 1, 0], [0, -10, 0, -2, 0, -3, 0, -2], [85, 0, 23, -16, -15, 1, -15, 1], [0, 113, 0, 41, -8, 36, 8, 33], [-1011, 0, -378, 220, 190, -30, 190, -30], [0, -1331, 0, -658, 188, -352, -188, -470]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [541, 0, 260, 0, 30, 0, 1, 0], [6897, -1121, 3575, -377, 517, -47, 22, -2], [10527, -9199, 3432, -5304, 330, -706, 11, -27], [0, 812, 0, 611, 0, 94, 0, 4], [-17061, 13683, -10868, 6812, -1738, 894, -77, 35], [-6897, -2745, -3575, -1599, -517, -235, -22, -10]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 8, 'label': '363.3.b.m', 'level': 363, 'maxp': 997, 'weight': 3}
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mf_newspaces • Show schema
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{'Nk2': 3267, 'analytic_conductor': 9.891033596278778, 'char_conductor': 3, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': -1, 'char_values': [363, 2, [122, 244], [1, 2]], 'conrey_index': 122, 'cusp_dim': 76, 'dim': 64, 'eis_dim': 24, 'eis_new_dim': 18, 'hecke_cutter_primes': [2, 5, 7], 'hecke_orbit_code': 68769808747, 'hecke_orbit_dims': [1, 1, 2, 2, 2, 4, 4, 4, 4, 6, 6, 8, 8, 12], 'label': '363.3.b', 'level': 363, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 11], 'level_radical': 33, 'mf_dim': 100, 'mf_new_dim': 82, 'num_forms': 14, 'prim_orbit_index': 2, 'relative_dim': 64, 'sturm_bound': 132, 'trace_bound': 7, 'trace_display': [0, 0, 0, 12], 'traces': [64, 0, 0, -108, 0, 2, 12, 0, -16, -36, 0, 10, 0, 0, 10, 172, 0, -38, 48, 0, 86, 0, 0, -24, -204, 0, -66, -48, 0, -142, 36, 0, 0, -36, 0, 262, -28, 0, 32, 168, 0, 108, -180, 0, 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mf_twists_nf • Show schema
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id: 276146
{'conductor': 11, 'degree': 4, 'multiplicity': 2, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 8, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '363.3.b.m', 'source_level': 363, 'target_char_orbit': 8, 'target_dim': 16, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '33.3.h.b', 'target_level': 33, 'twist_class_label': '33.3.h.b', 'twist_class_level': 33, 'twisting_char_label': '11.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 276147
{'conductor': 33, 'degree': 4, 'multiplicity': 2, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 8, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '363.3.b.m', 'source_level': 363, 'target_char_orbit': 8, 'target_dim': 16, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '33.3.h.b', 'target_level': 33, 'twist_class_label': '33.3.h.b', 'twist_class_level': 33, 'twisting_char_label': '33.h', 'twisting_char_orbit': 8, 'weight': 3}
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id: 276148
{'conductor': 11, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 8, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '363.3.b.m', 'source_level': 363, 'target_char_orbit': 2, 'target_dim': 8, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '363.3.b.l', 'target_level': 363, 'twist_class_label': '33.3.h.b', 'twist_class_level': 33, 'twisting_char_label': '11.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 276149
{'conductor': 33, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 8, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '363.3.b.m', 'source_level': 363, 'target_char_orbit': 2, 'target_dim': 8, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '363.3.b.l', 'target_level': 363, 'twist_class_label': '33.3.h.b', 'twist_class_level': 33, 'twisting_char_label': '33.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 276150
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 2, 'source_dim': 8, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '363.3.b.m', 'source_level': 363, 'target_char_orbit': 2, 'target_dim': 8, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '363.3.b.m', 'target_level': 363, 'twist_class_label': '33.3.h.b', 'twist_class_level': 33, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 3}
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id: 276151
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 8, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '363.3.b.m', 'source_level': 363, 'target_char_orbit': 2, 'target_dim': 8, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '363.3.b.m', 'target_level': 363, 'twist_class_label': '33.3.h.b', 'twist_class_level': 33, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 276152
{'conductor': 11, 'degree': 4, 'multiplicity': 2, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 8, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '363.3.b.m', 'source_level': 363, 'target_char_orbit': 8, 'target_dim': 16, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '363.3.h.j', 'target_level': 363, 'twist_class_label': '33.3.h.b', 'twist_class_level': 33, 'twisting_char_label': '11.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 276153
{'conductor': 33, 'degree': 4, 'multiplicity': 2, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 8, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '363.3.b.m', 'source_level': 363, 'target_char_orbit': 8, 'target_dim': 16, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '363.3.h.j', 'target_level': 363, 'twist_class_label': '33.3.h.b', 'twist_class_level': 33, 'twisting_char_label': '33.f', 'twisting_char_orbit': 6, 'weight': 3}
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id: 276154
{'conductor': 11, 'degree': 4, 'multiplicity': 2, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 8, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '363.3.b.m', 'source_level': 363, 'target_char_orbit': 8, 'target_dim': 16, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '363.3.h.n', 'target_level': 363, 'twist_class_label': '33.3.h.b', 'twist_class_level': 33, 'twisting_char_label': '11.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 276155
{'conductor': 33, 'degree': 4, 'multiplicity': 2, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 8, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '363.3.b.m', 'source_level': 363, 'target_char_orbit': 8, 'target_dim': 16, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '363.3.h.n', 'target_level': 363, 'twist_class_label': '33.3.h.b', 'twist_class_level': 33, 'twisting_char_label': '33.f', 'twisting_char_orbit': 6, 'weight': 3}
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id: 276156
{'conductor': 11, 'degree': 4, 'multiplicity': 2, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 8, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '363.3.b.m', 'source_level': 363, 'target_char_orbit': 8, 'target_dim': 16, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '363.3.h.o', 'target_level': 363, 'twist_class_label': '33.3.h.b', 'twist_class_level': 33, 'twisting_char_label': '11.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 276157
{'conductor': 33, 'degree': 4, 'multiplicity': 2, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 8, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '363.3.b.m', 'source_level': 363, 'target_char_orbit': 8, 'target_dim': 16, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '363.3.h.o', 'target_level': 363, 'twist_class_label': '33.3.h.b', 'twist_class_level': 33, 'twisting_char_label': '33.h', 'twisting_char_orbit': 8, 'weight': 3}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 776950
{'charpoly_factorization': [[[1331, 0, 1061, 0, 282, 0, 29, 0, 1], 1]], 'hecke_orbit_code': 54043264298254699, 'p': 2}
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id: 776951
{'charpoly_factorization': [[[6561, -3645, 567, 135, -72, 15, 7, -5, 1], 1]], 'hecke_orbit_code': 54043264298254699, 'p': 3}
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id: 776952
{'charpoly_factorization': [[[2816, 0, 6576, 0, 1687, 0, 79, 0, 1], 1]], 'hecke_orbit_code': 54043264298254699, 'p': 5}
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id: 776953
{'charpoly_factorization': [[[-396, 138, 35, -14, 1], 2]], 'hecke_orbit_code': 54043264298254699, 'p': 7}
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id: 776954
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 54043264298254699, 'p': 11}
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id: 776955
{'charpoly_factorization': [[[4444, 2626, -85, -22, 1], 2]], 'hecke_orbit_code': 54043264298254699, 'p': 13}
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id: 776956
{'charpoly_factorization': [[[8306771, 0, 12909824, 0, 172761, 0, 734, 0, 1], 1]], 'hecke_orbit_code': 54043264298254699, 'p': 17}
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id: 776957
{'charpoly_factorization': [[[-64999, 8694, 7, -34, 1], 2]], 'hecke_orbit_code': 54043264298254699, 'p': 19}
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id: 776958
{'charpoly_factorization': [[[25255373616, 0, 307285308, 0, 1188583, 0, 1848, 0, 1], 1]], 'hecke_orbit_code': 54043264298254699, 'p': 23}
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id: 776959
{'charpoly_factorization': [[[340736, 0, 93696, 0, 7312, 0, 184, 0, 1], 1]], 'hecke_orbit_code': 54043264298254699, 'p': 29}
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id: 776960
{'charpoly_factorization': [[[-97204, -30786, -1709, -1, 1], 2]], 'hecke_orbit_code': 54043264298254699, 'p': 31}
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id: 776961
{'charpoly_factorization': [[[-698036, 107680, -1111, -70, 1], 2]], 'hecke_orbit_code': 54043264298254699, 'p': 37}
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id: 776962
{'charpoly_factorization': [[[3927187055891, 0, 26651833143, 0, 27887368, 0, 9433, 0, 1], 1]], 'hecke_orbit_code': 54043264298254699, 'p': 41}
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id: 776963
{'charpoly_factorization': [[[-684409, -73219, -1528, 39, 1], 2]], 'hecke_orbit_code': 54043264298254699, 'p': 43}
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id: 776964
{'charpoly_factorization': [[[14778028911536, 0, 51690193292, 0, 40526643, 0, 11237, 0, 1], 1]], 'hecke_orbit_code': 54043264298254699, 'p': 47}
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id: 776965
{'charpoly_factorization': [[[1733384590256, 0, 8491109372, 0, 11081859, 0, 5633, 0, 1], 1]], 'hecke_orbit_code': 54043264298254699, 'p': 53}
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id: 776966
{'charpoly_factorization': [[[162457590843251, 0, 315187108454, 0, 162295647, 0, 23636, 0, 1], 1]], 'hecke_orbit_code': 54043264298254699, 'p': 59}
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id: 776967
{'charpoly_factorization': [[[1180476, -62286, -4549, -11, 1], 2]], 'hecke_orbit_code': 54043264298254699, 'p': 61}
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id: 776968
{'charpoly_factorization': [[[-11977619, 552568, -3927, -92, 1], 2]], 'hecke_orbit_code': 54043264298254699, 'p': 67}
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id: 776969
{'charpoly_factorization': [[[1657701936, 0, 269041212, 0, 2752883, 0, 3227, 0, 1], 1]], 'hecke_orbit_code': 54043264298254699, 'p': 71}
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id: 776970
{'charpoly_factorization': [[[2336356, 316506, 12357, 189, 1], 2]], 'hecke_orbit_code': 54043264298254699, 'p': 73}
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id: 776971
{'charpoly_factorization': [[[-27267284, -928896, -3903, 126, 1], 2]], 'hecke_orbit_code': 54043264298254699, 'p': 79}
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id: 776972
{'charpoly_factorization': [[[46820268891, 0, 892608003, 0, 4637264, 0, 4757, 0, 1], 1]], 'hecke_orbit_code': 54043264298254699, 'p': 83}
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id: 776973
{'charpoly_factorization': [[[3248250664131, 0, 15048846351, 0, 19103392, 0, 8529, 0, 1], 1]], 'hecke_orbit_code': 54043264298254699, 'p': 89}
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id: 776974
{'charpoly_factorization': [[[-3010169, 18612, 7293, 162, 1], 2]], 'hecke_orbit_code': 54043264298254699, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 2, 'hecke_orbit': 13, 'label': '363.3.b.m', 'level': 363, 'portrait': 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', 'weight': 3}
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mf_hecke_traces • Show schema
Hide schema
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id: 225159000
{'hecke_orbit_code': 54043264298254699, 'n': 1, 'trace_an': 8}
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id: 225159001
{'hecke_orbit_code': 54043264298254699, 'n': 2, 'trace_an': 0}
-
id: 225159002
{'hecke_orbit_code': 54043264298254699, 'n': 3, 'trace_an': 5}
-
id: 225159003
{'hecke_orbit_code': 54043264298254699, 'n': 4, 'trace_an': -26}
-
id: 225159004
{'hecke_orbit_code': 54043264298254699, 'n': 5, 'trace_an': 0}
-
id: 225159005
{'hecke_orbit_code': 54043264298254699, 'n': 6, 'trace_an': 1}
-
id: 225159006
{'hecke_orbit_code': 54043264298254699, 'n': 7, 'trace_an': 28}
-
id: 225159007
{'hecke_orbit_code': 54043264298254699, 'n': 8, 'trace_an': 0}
-
id: 225159008
{'hecke_orbit_code': 54043264298254699, 'n': 9, 'trace_an': 11}
-
id: 225159009
{'hecke_orbit_code': 54043264298254699, 'n': 10, 'trace_an': -6}
-
id: 225159010
{'hecke_orbit_code': 54043264298254699, 'n': 11, 'trace_an': 0}
-
id: 225159011
{'hecke_orbit_code': 54043264298254699, 'n': 12, 'trace_an': 53}
-
id: 225159012
{'hecke_orbit_code': 54043264298254699, 'n': 13, 'trace_an': 44}
-
id: 225159013
{'hecke_orbit_code': 54043264298254699, 'n': 14, 'trace_an': 0}
-
id: 225159014
{'hecke_orbit_code': 54043264298254699, 'n': 15, 'trace_an': -54}
-
id: 225159015
{'hecke_orbit_code': 54043264298254699, 'n': 16, 'trace_an': -14}
-
id: 225159016
{'hecke_orbit_code': 54043264298254699, 'n': 17, 'trace_an': 0}
-
id: 225159017
{'hecke_orbit_code': 54043264298254699, 'n': 18, 'trace_an': 1}
-
id: 225159018
{'hecke_orbit_code': 54043264298254699, 'n': 19, 'trace_an': 68}
-
id: 225159019
{'hecke_orbit_code': 54043264298254699, 'n': 20, 'trace_an': 0}
-
id: 225159020
{'hecke_orbit_code': 54043264298254699, 'n': 21, 'trace_an': -6}
-
id: 225159021
{'hecke_orbit_code': 54043264298254699, 'n': 22, 'trace_an': 0}
-
id: 225159022
{'hecke_orbit_code': 54043264298254699, 'n': 23, 'trace_an': 0}
-
id: 225159023
{'hecke_orbit_code': 54043264298254699, 'n': 24, 'trace_an': 33}
-
id: 225159024
{'hecke_orbit_code': 54043264298254699, 'n': 25, 'trace_an': 42}
-
id: 225159025
{'hecke_orbit_code': 54043264298254699, 'n': 26, 'trace_an': 0}
-
id: 225159026
{'hecke_orbit_code': 54043264298254699, 'n': 27, 'trace_an': -25}
-
id: 225159027
{'hecke_orbit_code': 54043264298254699, 'n': 28, 'trace_an': -118}
-
id: 225159028
{'hecke_orbit_code': 54043264298254699, 'n': 29, 'trace_an': 0}
-
id: 225159029
{'hecke_orbit_code': 54043264298254699, 'n': 30, 'trace_an': 10}
-
id: 225159030
{'hecke_orbit_code': 54043264298254699, 'n': 31, 'trace_an': 2}
-
id: 225159031
{'hecke_orbit_code': 54043264298254699, 'n': 32, 'trace_an': 0}
-
id: 225159032
{'hecke_orbit_code': 54043264298254699, 'n': 33, 'trace_an': 0}
-
id: 225159033
{'hecke_orbit_code': 54043264298254699, 'n': 34, 'trace_an': -66}
-
id: 225159034
{'hecke_orbit_code': 54043264298254699, 'n': 35, 'trace_an': 0}
-
id: 225159035
{'hecke_orbit_code': 54043264298254699, 'n': 36, 'trace_an': -7}
-
id: 225159036
{'hecke_orbit_code': 54043264298254699, 'n': 37, 'trace_an': 140}
-
id: 225159037
{'hecke_orbit_code': 54043264298254699, 'n': 38, 'trace_an': 0}
-
id: 225159038
{'hecke_orbit_code': 54043264298254699, 'n': 39, 'trace_an': 38}
-
id: 225159039
{'hecke_orbit_code': 54043264298254699, 'n': 40, 'trace_an': 58}
-
id: 225159040
{'hecke_orbit_code': 54043264298254699, 'n': 41, 'trace_an': 0}
-
id: 225159041
{'hecke_orbit_code': 54043264298254699, 'n': 42, 'trace_an': 174}
-
id: 225159042
{'hecke_orbit_code': 54043264298254699, 'n': 43, 'trace_an': -78}
-
id: 225159043
{'hecke_orbit_code': 54043264298254699, 'n': 44, 'trace_an': 0}
-
id: 225159044
{'hecke_orbit_code': 54043264298254699, 'n': 45, 'trace_an': -36}
-
id: 225159045
{'hecke_orbit_code': 54043264298254699, 'n': 46, 'trace_an': -286}
-
id: 225159046
{'hecke_orbit_code': 54043264298254699, 'n': 47, 'trace_an': 0}
-
id: 225159047
{'hecke_orbit_code': 54043264298254699, 'n': 48, 'trace_an': -285}
-
id: 225159048
{'hecke_orbit_code': 54043264298254699, 'n': 49, 'trace_an': -140}
-
id: 225159049
{'hecke_orbit_code': 54043264298254699, 'n': 50, 'trace_an': 0}
-
id: 225159050
{'hecke_orbit_code': 54043264298254699, 'n': 51, 'trace_an': 58}
-
id: 225159051
{'hecke_orbit_code': 54043264298254699, 'n': 52, 'trace_an': -102}
-
id: 225159052
{'hecke_orbit_code': 54043264298254699, 'n': 53, 'trace_an': 0}
-
id: 225159053
{'hecke_orbit_code': 54043264298254699, 'n': 54, 'trace_an': 523}
-
id: 225159054
{'hecke_orbit_code': 54043264298254699, 'n': 55, 'trace_an': 0}
-
id: 225159055
{'hecke_orbit_code': 54043264298254699, 'n': 56, 'trace_an': 0}
-
id: 225159056
{'hecke_orbit_code': 54043264298254699, 'n': 57, 'trace_an': -22}
-
id: 225159057
{'hecke_orbit_code': 54043264298254699, 'n': 58, 'trace_an': -68}
-
id: 225159058
{'hecke_orbit_code': 54043264298254699, 'n': 59, 'trace_an': 0}
-
id: 225159059
{'hecke_orbit_code': 54043264298254699, 'n': 60, 'trace_an': 262}
-
id: 225159060
{'hecke_orbit_code': 54043264298254699, 'n': 61, 'trace_an': 22}
-
id: 225159061
{'hecke_orbit_code': 54043264298254699, 'n': 62, 'trace_an': 0}
-
id: 225159062
{'hecke_orbit_code': 54043264298254699, 'n': 63, 'trace_an': 246}
-
id: 225159063
{'hecke_orbit_code': 54043264298254699, 'n': 64, 'trace_an': -52}
-
id: 225159064
{'hecke_orbit_code': 54043264298254699, 'n': 65, 'trace_an': 0}
-
id: 225159065
{'hecke_orbit_code': 54043264298254699, 'n': 66, 'trace_an': 0}
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