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mf_newforms • Show schema
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{'Nk2': 1600, 'analytic_conductor': 3.1940160808512155, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 25, 'char_degree': 4, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 25, 'char_orbit_label': 'y', 'char_order': 10, 'char_parity': 1, 'char_values': [400, 10, [351, 101, 177], [10, 10, 1]], 'cm_discs': [], 'conrey_index': 129, 'conrey_indexes': [129, 209, 289, 369], 'dim': 8, 'field_disc': 58140625, 'field_disc_factorization': [[5, 6], [61, 2]], 'field_poly': [25, -25, -10, 5, 11, -7, 4, -3, 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, [16, -80, 144, -110, 51, -15, 9, -5, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9008848555737488, 'hecke_ring_generator_nbound': 5, '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, 25, 5, 1, 10, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '400.2.y.c', 'level': 400, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 5], 'level_radical': 10, 'minimal_twist': '25.2.e.a', 'nf_label': '8.0.58140625.2', 'prim_orbit_index': 5, 'qexp_display': 'q+(1+\\beta _{3}+\\beta _{7})q^{3}+(\\beta _{3}-\\beta _{4}-\\beta _{5}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c10', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '400.2.y', 'trace_display': [0, 5, 0, 0], 'trace_hash': 649918768404356669, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.017', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.855', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '190.475', 'prec': 24}, 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 1, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, -1, -1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -1, -1, -1, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [1, -1, -1, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, -1, -1, 1, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, -1, -3, 2, -4, -1, 1, -2], [0, 0, 0, 0, 0, 0, 0, 0], [0, 1, -2, 1, -2, 1, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 1, -1, 1, 1, -1], [0, 0, 0, 0, 0, 0, 0, 0], [-2, 2, 1, -1, 0, 1, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0], [2, -1, -3, 4, -2, -1, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -5, 1, -1, -1, 0, -2], [0, 0, 0, 0, 0, 0, 0, 0], [2, -3, -1, 0, 0, -1, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [3, -4, -2, 4, -3, -2, -2, -1], [0, 0, 0, 0, 0, 0, 0, 0], [2, 1, 0, 1, -2, -2, -3, 2], [0, 0, 0, 0, 0, 0, 0, 0], [4, -2, -4, 2, 0, 0, -2, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-5, 2, 1, -4, 3, 2, 3, -1], [0, 0, 0, 0, 0, 0, 0, 0], [4, -1, 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0], [8, -6, -22, -4, 16, -6, 2, -2], [-22, 0, 6, -14, 7, -1, 0, -10], [5, -18, -4, -9, 14, 10, -4, -4], [-30, -3, 27, 0, 16, 1, -1, -6], [-14, 26, 27, -13, 12, 13, 2, 12], [-4, 0, 12, -16, 8, -4, -4, 0], [6, 8, 12, 2, -1, 9, 9, 0], [3, -4, 11, 8, -7, -2, -2, -1], [-2, -2, 0, 0, -17, 7, -7, -4], [-23, 0, 10, -11, 11, -1, 0, -3], [-5, -1, -14, -24, 14, 0, -3, -1], [12, -21, -20, 5, 1, -7, -14, -14], [17, -13, -9, 9, -4, -13, -13, 13], [-23, 16, 17, -24, 12, 19, 19, 0], [-22, 4, 0, -16, 22, 2, -2, -2], [-4, 12, 36, -18, 32, 14, -2, 14], [-14, 8, 18, 6, -10, 8, 0, 0], [-13, 23, 13, -13, 1, 0, 2, 23], [-2, -7, -5, 0, -6, -1, 1, -14], [3, 0, 0, 7, -3, 11, 11, -11], [-6, 12, 14, 7, -7, 6, 0, 6], [9, -9, 6, -8, -15, -9, 8, -8], [14, -9, -3, 8, 6, 3, -3, -3], [14, 0, 0, -4, 0, 18, 0, 14], [2, 0, 8, 15, 5, -8, 0, 18], [22, -14, -16, 8, 6, -8, -6, -8], [-15, 30, 31, -18, 18, 15, 0, 15], [27, -21, -2, 8, -4, 0, 0, 0], [-11, 4, -10, 5, -21, -3, 7, -3], [10, 15, 16, 15, 1, 5, 10, 10], [33, 0, -10, -1, -26, 8, 0, 13]], 'char_orbit_index': 25, 'field_poly': [25, -25, -10, 5, 11, -7, 4, -3, 1], 'hecke_orbit_code': 9008848555737488, 'hecke_ring_character_values': [[351, [1, 0, 0, 0, 0, 0, 0, 0]], [101, [1, 0, 0, 0, 0, 0, 0, 0]], [177, [0, 0, 1, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1355, 1355, 1355, 1355, 1355, 1355], '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], [0, 0, 1, 1, -1, -1, 0, -1], [3, 1, 1, 4, -3, 1, 0, 1], [2, 4, 2, 2, 2, 4, -5, 5], [-13, 4, 11, -7, 0, 0, -6, 4], [-21, -2, 21, -7, -8, 7, 7, 0], [0, 0, 12, -23, 23, 38, 0, 23]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [-7800, 1065, 4949, 2103, -1896, 747, -714, 406], [-10265, 1055, 5129, 2297, -1924, 698, -776, 420], [-15715, 2190, 8547, 3584, -3353, 1246, -1327, 728], [18200, -2485, -9470, -4907, 4424, -1743, 1666, -857], [-18960, 3235, 9520, 4991, -4492, 1624, -1623, 891], [-20550, 2415, 9646, 5723, -4891, 1942, -1829, 955]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 8, 'label': '400.2.y.c', 'level': 400, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 1600, 'analytic_conductor': 3.1940160808512155, 'char_conductor': 25, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 25, 'char_orbit_label': 'y', 'char_order': 10, 'char_parity': 1, 'char_values': [400, 10, [351, 101, 177], [10, 10, 1]], 'conrey_index': 129, 'cusp_dim': 216, 'dim': 56, 'eis_dim': 48, 'eis_new_dim': 8, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 1649300996496, 'hecke_orbit_dims': [8, 8, 8, 32], 'label': '400.2.y', 'level': 400, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 5], 'level_radical': 10, 'mf_dim': 264, 'mf_new_dim': 64, 'num_forms': 4, 'prim_orbit_index': 5, 'relative_dim': 14, 'sturm_bound': 120, 'trace_bound': 5, 'trace_display': [0, 5, -3, 0], 'traces': [56, 0, 5, 0, -3, 0, 0, 0, 9, 0, -3, 0, -5, 0, 13, 0, -5, 0, 9, 0, 6, 0, 35, 0, 1, 0, 5, 0, -5, 0, 9, 0, -5, 0, -28, 0, -30, 0, 1, 0, -5, 0, 0, 0, -7, 0, 5, 0, -48, 0, 62, 0, -10, 0, 13, 0, 0, 0, 21, 0, 7, 0, -30, 0, 4, 0, -25, 0, -9, 0, 17, 0, -5, 0, -11, 0, 30, 0, -7, 0, -39, 0, -25, 0, 20, 0, -55, 0, -18, 0, -30, 0, 0, 0, -113, 0, -25, 0, -76, 0, -18, 0, -85, 0, 18, 0, 0, 0, 31, 0, 43, 0, -30, 0, -63, 0, 20, 0, -56, 0, 5, 0, -95, 0, -27, 0, 5, 0, -18, 0, -15, 0, 30, 0, 111, 0, -45, 0, 5, 0, 15, 0, 0, 0, -9, 0, -15, 0, 26, 0, -72, 0, -80, 0, 5, 0, 0, 0, 25, 0, 34, 0, 95, 0, -53, 0, 155, 0, 9, 0, -26, 0, 0, 0, 16, 0, 55, 0, 63, 0, 35, 0, 65, 0, 51, 0, 75, 0, 78, 0, 65, 0, 0, 0, 301, 0, 40, 0, 116, 0, -38, 0, 60, 0, 4, 0, 0, 0, 43, 0, -63, 0, 75, 0, 26, 0, 70, 0, 93, 0, -66, 0, 175, 0, 54, 0, 35, 0, 0, 0, -70, 0, 20, 0, -61, 0, -5, 0, 9, 0, 32, 0, 0, 0, 11, 0, 65, 0, -6, 0, 204, 0, -5, 0, 120, 0, 0, 0, -34, 0, -6, 0, -85, 0, -69, 0, -145, 0, -42, 0, -35, 0, 90, 0, -91, 0, -130, 0, -204, 0, 52, 0, -25, 0, -12, 0, -240, 0, 53, 0, -33, 0, 0, 0, -289, 0, 140, 0, -194, 0, 80, 0, -220, 0, 35, 0, 0, 0, -109, 0, 155, 0, 55, 0, -232, 0, -5, 0, -111, 0, -62, 0, -245, 0, -113, 0, -215, 0, 78, 0, 33, 0, -85, 0, 159, 0, 35, 0, 75, 0, -57, 0, 0, 0, 3, 0, -65, 0, -18, 0, -190, 0, 55, 0, -111, 0, 0, 0, 13, 0, -39, 0, 285, 0, -37, 0, 175, 0, -46, 0, -22, 0, -5, 0, 17, 0, -170, 0, 131, 0, -113, 0, -45, 0, -62, 0, 120, 0, -25, 0, 117, 0, 0, 0, 267, 0, -85, 0, 144, 0, 10, 0, 115, 0, 113, 0, 0, 0, -64, 0, -173, 0, 90, 0, 173, 0, -85, 0, 69, 0, 15, 0, 425, 0, -170, 0, 240, 0, -54, 0, -9, 0, -110, 0, -91, 0, -65, 0, 89, 0, -81, 0, 0, 0, -22, 0, 230, 0, -26, 0, 170, 0, -160, 0, 74, 0, 0, 0, -12, 0, 36, 0, -245, 0, 20, 0, -295, 0, 118, 0, -202, 0, -10, 0, 11, 0, 115, 0, -31, 0, -118, 0, -120, 0, 179, 0, -175, 0, -77, 0, -249, 0, 0, 0, -498, 0, -170, 0, -92, 0, 18, 0, 65, 0, -38, 0, 0, 0, 112, 0, 60, 0, 20, 0, -119, 0, 135, 0, -209, 0, 94, 0, -265, 0, 334, 0, -195, 0, -95, 0, 21, 0, 55, 0, 20, 0, -205, 0, -105, 0, 120, 0, 0, 0, -58, 0, -155, 0, -110, 0, -282, 0, -70, 0, -131, 0, 0, 0, 88, 0, 4, 0, 245, 0, -69, 0, 430, 0, 63, 0, 107, 0, 135, 0, 131, 0, 195, 0, 252, 0, 46, 0, 35, 0, 191, 0, 295, 0, 83, 0, 267, 0, 0, 0, 430, 0, 320, 0, 148, 0, -66, 0, 120, 0, 80, 0, 0, 0, 230, 0, -151, 0, -10, 0, 241, 0, 200, 0, 279, 0, -126, 0, 370, 0, 129, 0, 400, 0, 86, 0, -171, 0, 155, 0, -31, 0, 245, 0, 147, 0, 63, 0, 0, 0, 154, 0, 255, 0, 126, 0, 128, 0, 75, 0, 119, 0, 0, 0, -67, 0, -109, 0, -360, 0, 42, 0, -305, 0, -149, 0, -25, 0, 140, 0, -27, 0, -145, 0, -258, 0, 47, 0, 125, 0, -258, 0, -285, 0, 80, 0, -207, 0, 0, 0, -317, 0, 240, 0, -310, 0, -62, 0, -205, 0, -69, 0, 0, 0, -45, 0, 297, 0, 35, 0, -274, 0, -325, 0, -189, 0, -150, 0, -545, 0, -177, 0, -425, 0, 132, 0, 46, 0, -245, 0, 189, 0, 115, 0, -159, 0, 20, 0, 0, 0, 69, 0, -320, 0, -88, 0, -144, 0, 140, 0, -4, 0, 0, 0, 321, 0, -77, 0, 420, 0, -20, 0, 505, 0, -125, 0, 222, 0, -205, 0, -45, 0, -170, 0, 229, 0, -109, 0, 105, 0, -96, 0, 165, 0, -209, 0, 132, 0, 0, 0, 609, 0, -250, 0, 166, 0, 130, 0, -85, 0, -158, 0, 0, 0, -110, 0, -321, 0, -265, 0, 103, 0, -30, 0, 308, 0, 179, 0, 485, 0, -269, 0, 285, 0, -150, 0, -205, 0, -195, 0, -87, 0, -360, 0, -3, 0, -43, 0, 0, 0, -196, 0, 170, 0, -94, 0, 342, 0, -100, 0, 98, 0, 0, 0, -175, 0, 234, 0, -425, 0, -2, 0, -490, 0, 91, 0, -95, 0, -260, 0, -232, 0, 335, 0, -390, 0, -97, 0, -145, 0, 99, 0, -395, 0, -62, 0, -226, 0, 0, 0, -493, 0, -420, 0, -414, 0, -194, 0, -300, 0, -116, 0, 0, 0, 41, 0, 295, 0, 75, 0, -345, 0, 230, 0, -215, 0, 214, 0, -485, 0, 123, 0, -655, 0, -129, 0, 253, 0, 415, 0, 125, 0, -310, 0, -273, 0, -8, 0, 0, 0, -114, 0, -275, 0, 208, 0, -94, 0, -65, 0, -225, 0, 0, 0, -24, 0, 153, 0, 590, 0, 29, 0, 465, 0, 89, 0, 139, 0, 250, 0, 23, 0, 255, 0, 117, 0, 376, 0, -135, 0, 267, 0, 220, 0, 242, 0, 383, 0, 0, 0, 424, 0, 115, 0, 410, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 297657
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '400.2.y.c', 'source_level': 400, 'target_char_orbit': 5, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '25.2.e.a', 'target_level': 25, 'twist_class_label': '25.2.e.a', 'twist_class_level': 25, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 297658
{'conductor': 100, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '400.2.y.c', 'source_level': 400, 'target_char_orbit': 5, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '25.2.e.a', 'target_level': 25, 'twist_class_label': '25.2.e.a', 'twist_class_level': 25, 'twisting_char_label': '100.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 297659
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '400.2.y.c', 'source_level': 400, 'target_char_orbit': 4, 'target_dim': 16, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '125.2.d.b', 'target_level': 125, 'twist_class_label': '25.2.e.a', 'twist_class_level': 25, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 297660
{'conductor': 100, 'degree': 8, 'multiplicity': 2, 'order': 20, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '400.2.y.c', 'source_level': 400, 'target_char_orbit': 4, 'target_dim': 16, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '125.2.d.b', 'target_level': 125, 'twist_class_label': '25.2.e.a', 'twist_class_level': 25, 'twisting_char_label': '100.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 297661
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '400.2.y.c', 'source_level': 400, 'target_char_orbit': 5, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '125.2.e.b', 'target_level': 125, 'twist_class_label': '25.2.e.a', 'twist_class_level': 25, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 297662
{'conductor': 100, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '400.2.y.c', 'source_level': 400, 'target_char_orbit': 5, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '125.2.e.b', 'target_level': 125, 'twist_class_label': '25.2.e.a', 'twist_class_level': 25, 'twisting_char_label': '100.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 297663
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '400.2.y.c', 'source_level': 400, 'target_char_orbit': 13, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '225.2.m.a', 'target_level': 225, 'twist_class_label': '25.2.e.a', 'twist_class_level': 25, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 297664
{'conductor': 300, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '400.2.y.c', 'source_level': 400, 'target_char_orbit': 13, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '225.2.m.a', 'target_level': 225, 'twist_class_label': '25.2.e.a', 'twist_class_level': 25, 'twisting_char_label': '300.r', 'twisting_char_orbit': 18, 'weight': 2}
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id: 297665
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 25, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '400.2.y.c', 'source_level': 400, 'target_char_orbit': 25, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '400.2.y.c', 'target_level': 400, 'twist_class_label': '25.2.e.a', 'twist_class_level': 25, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 297666
{'conductor': 25, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '400.2.y.c', 'source_level': 400, 'target_char_orbit': 25, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '400.2.y.c', 'target_level': 400, 'twist_class_label': '25.2.e.a', 'twist_class_level': 25, 'twisting_char_label': '25.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 297667
{'conductor': 100, 'degree': 8, 'multiplicity': 2, 'order': 20, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '400.2.y.c', 'source_level': 400, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '625.2.a.f', 'target_level': 625, 'twist_class_label': '25.2.e.a', 'twist_class_level': 25, 'twisting_char_label': '100.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 297668
{'conductor': 100, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '400.2.y.c', 'source_level': 400, 'target_char_orbit': 2, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '625.2.b.c', 'target_level': 625, 'twist_class_label': '25.2.e.a', 'twist_class_level': 25, 'twisting_char_label': '100.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 297669
{'conductor': 100, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '400.2.y.c', 'source_level': 400, 'target_char_orbit': 2, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '625.2.b.c', 'target_level': 625, 'twist_class_label': '25.2.e.a', 'twist_class_level': 25, 'twisting_char_label': '100.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 297670
{'conductor': 100, 'degree': 8, 'multiplicity': 4, 'order': 20, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '400.2.y.c', 'source_level': 400, 'target_char_orbit': 4, 'target_dim': 16, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '625.2.d.o', 'target_level': 625, 'twist_class_label': '25.2.e.a', 'twist_class_level': 25, 'twisting_char_label': '100.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 297671
{'conductor': 100, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '400.2.y.c', 'source_level': 400, 'target_char_orbit': 5, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '625.2.e.a', 'target_level': 625, 'twist_class_label': '25.2.e.a', 'twist_class_level': 25, 'twisting_char_label': '100.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 297672
{'conductor': 100, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '400.2.y.c', 'source_level': 400, 'target_char_orbit': 5, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '625.2.e.a', 'target_level': 625, 'twist_class_label': '25.2.e.a', 'twist_class_level': 25, 'twisting_char_label': '100.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 297673
{'conductor': 100, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '400.2.y.c', 'source_level': 400, 'target_char_orbit': 5, 'target_dim': 8, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '625.2.e.i', 'target_level': 625, 'twist_class_label': '25.2.e.a', 'twist_class_level': 25, 'twisting_char_label': '100.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 297674
{'conductor': 100, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '400.2.y.c', 'source_level': 400, 'target_char_orbit': 5, 'target_dim': 8, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '625.2.e.i', 'target_level': 625, 'twist_class_label': '25.2.e.a', 'twist_class_level': 25, 'twisting_char_label': '100.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 297675
{'conductor': 300, 'degree': 8, 'multiplicity': 2, 'order': 20, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '400.2.y.c', 'source_level': 400, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '5625.2.a.x', 'target_level': 5625, 'twist_class_label': '25.2.e.a', 'twist_class_level': 25, 'twisting_char_label': '300.u', 'twisting_char_orbit': 21, 'weight': 2}
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id: 297676
{'conductor': 25, 'degree': 8, 'multiplicity': 2, 'order': 20, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '400.2.y.c', 'source_level': 400, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 36, 'target_is_minimal': False, 'target_label': '10000.2.a.bj', 'target_level': 10000, 'twist_class_label': '25.2.e.a', 'twist_class_level': 25, 'twisting_char_label': '25.f', 'twisting_char_orbit': 6, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 834025
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9008848555737488, 'p': 2}
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id: 834026
{'charpoly_factorization': [[[16, -80, 144, -110, 51, -15, 9, -5, 1], 1]], 'hecke_orbit_code': 9008848555737488, 'p': 3}
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id: 834027
{'charpoly_factorization': [[[625, 0, 125, -100, 5, -20, 5, 0, 1], 1]], 'hecke_orbit_code': 9008848555737488, 'p': 5}
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id: 834028
{'charpoly_factorization': [[[16, 0, 116, 0, 121, 0, 21, 0, 1], 1]], 'hecke_orbit_code': 9008848555737488, 'p': 7}
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id: 834029
{'charpoly_factorization': [[[16, -8, 4, -2, 1], 2]], 'hecke_orbit_code': 9008848555737488, 'p': 11}
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id: 834030
{'charpoly_factorization': [[[1, -5, 4, 5, 21, -5, 4, 5, 1], 1]], 'hecke_orbit_code': 9008848555737488, 'p': 13}
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id: 834031
{'charpoly_factorization': [[[1936, 880, -784, -550, 31, 125, 56, 10, 1], 1]], 'hecke_orbit_code': 9008848555737488, 'p': 17}
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id: 834032
{'charpoly_factorization': [[[400, -200, 400, 100, -15, -40, 30, -5, 1], 1]], 'hecke_orbit_code': 9008848555737488, 'p': 19}
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id: 834033
{'charpoly_factorization': [[[256, 320, -16, 60, 241, 15, -1, 5, 1], 1]], 'hecke_orbit_code': 9008848555737488, 'p': 23}
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id: 834034
{'charpoly_factorization': [[[483025, 142475, 49350, 4525, 485, -5, 30, 5, 1], 1]], 'hecke_orbit_code': 9008848555737488, 'p': 29}
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id: 834035
{'charpoly_factorization': [[[1936, -23496, 110532, -31178, 6855, -917, 117, -9, 1], 1]], 'hecke_orbit_code': 9008848555737488, 'p': 31}
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id: 834036
{'charpoly_factorization': [[[116281, -192665, 141631, -61170, 17321, -3270, 406, -30, 1], 1]], 'hecke_orbit_code': 9008848555737488, 'p': 37}
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id: 834037
{'charpoly_factorization': [[[13456, -1624, 9492, -7622, 2655, 457, 52, 4, 1], 1]], 'hecke_orbit_code': 9008848555737488, 'p': 41}
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id: 834038
{'charpoly_factorization': [[[246016, 0, 56784, 0, 4421, 0, 129, 0, 1], 1]], 'hecke_orbit_code': 9008848555737488, 'p': 43}
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id: 834039
{'charpoly_factorization': [[[65536, 61440, -4864, -9840, 4101, -615, 16, 0, 1], 1]], 'hecke_orbit_code': 9008848555737488, 'p': 47}
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id: 834040
{'charpoly_factorization': [[[8755681, 4157395, 722619, 29590, -8079, -1290, -6, 10, 1], 1]], 'hecke_orbit_code': 9008848555737488, 'p': 53}
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id: 834041
{'charpoly_factorization': [[[4080400, -1333200, 407000, -54150, 5635, -15, 0, 0, 1], 1]], 'hecke_orbit_code': 9008848555737488, 'p': 59}
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id: 834042
{'charpoly_factorization': [[[116281, -59334, 139032, 12978, 16405, -1068, -43, 9, 1], 1]], 'hecke_orbit_code': 9008848555737488, 'p': 61}
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id: 834043
{'charpoly_factorization': [[[246016, -198400, 74816, -6080, -2384, -80, 116, 20, 1], 1]], 'hecke_orbit_code': 9008848555737488, 'p': 67}
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id: 834044
{'charpoly_factorization': [[[24245776, 5889104, 966712, 53922, 3455, -297, 142, 6, 1], 1]], 'hecke_orbit_code': 9008848555737488, 'p': 71}
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id: 834045
{'charpoly_factorization': [[[1, 0, 4, 30, 91, 120, 49, -15, 1], 1]], 'hecke_orbit_code': 9008848555737488, 'p': 73}
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id: 834046
{'charpoly_factorization': [[[33408400, -4913000, 1416100, -79050, 12185, -600, 100, 15, 1], 1]], 'hecke_orbit_code': 9008848555737488, 'p': 79}
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id: 834047
{'charpoly_factorization': [[[99856, -284400, 329344, -199950, 70651, -11175, 949, -45, 1], 1]], 'hecke_orbit_code': 9008848555737488, 'p': 83}
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id: 834048
{'charpoly_factorization': [[[1392400, 1640200, 888600, 258800, 47985, 5890, 520, 25, 1], 1]], 'hecke_orbit_code': 9008848555737488, 'p': 89}
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id: 834049
{'charpoly_factorization': [[[301334881, 63360350, 5529361, 971040, 213086, 24990, 1636, 60, 1], 1]], 'hecke_orbit_code': 9008848555737488, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 25, 'hecke_orbit': 3, 'label': '400.2.y.c', 'level': 400, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 124095000
{'hecke_orbit_code': 9008848555737488, 'n': 1, 'trace_an': 8}
-
id: 124095001
{'hecke_orbit_code': 9008848555737488, 'n': 2, 'trace_an': 0}
-
id: 124095002
{'hecke_orbit_code': 9008848555737488, 'n': 3, 'trace_an': 5}
-
id: 124095003
{'hecke_orbit_code': 9008848555737488, 'n': 4, 'trace_an': 0}
-
id: 124095004
{'hecke_orbit_code': 9008848555737488, 'n': 5, 'trace_an': 0}
-
id: 124095005
{'hecke_orbit_code': 9008848555737488, 'n': 6, 'trace_an': 0}
-
id: 124095006
{'hecke_orbit_code': 9008848555737488, 'n': 7, 'trace_an': 0}
-
id: 124095007
{'hecke_orbit_code': 9008848555737488, 'n': 8, 'trace_an': 0}
-
id: 124095008
{'hecke_orbit_code': 9008848555737488, 'n': 9, 'trace_an': 1}
-
id: 124095009
{'hecke_orbit_code': 9008848555737488, 'n': 10, 'trace_an': 0}
-
id: 124095010
{'hecke_orbit_code': 9008848555737488, 'n': 11, 'trace_an': 4}
-
id: 124095011
{'hecke_orbit_code': 9008848555737488, 'n': 12, 'trace_an': 0}
-
id: 124095012
{'hecke_orbit_code': 9008848555737488, 'n': 13, 'trace_an': -5}
-
id: 124095013
{'hecke_orbit_code': 9008848555737488, 'n': 14, 'trace_an': 0}
-
id: 124095014
{'hecke_orbit_code': 9008848555737488, 'n': 15, 'trace_an': -15}
-
id: 124095015
{'hecke_orbit_code': 9008848555737488, 'n': 16, 'trace_an': 0}
-
id: 124095016
{'hecke_orbit_code': 9008848555737488, 'n': 17, 'trace_an': -10}
-
id: 124095017
{'hecke_orbit_code': 9008848555737488, 'n': 18, 'trace_an': 0}
-
id: 124095018
{'hecke_orbit_code': 9008848555737488, 'n': 19, 'trace_an': 5}
-
id: 124095019
{'hecke_orbit_code': 9008848555737488, 'n': 20, 'trace_an': 0}
-
id: 124095020
{'hecke_orbit_code': 9008848555737488, 'n': 21, 'trace_an': -4}
-
id: 124095021
{'hecke_orbit_code': 9008848555737488, 'n': 22, 'trace_an': 0}
-
id: 124095022
{'hecke_orbit_code': 9008848555737488, 'n': 23, 'trace_an': -5}
-
id: 124095023
{'hecke_orbit_code': 9008848555737488, 'n': 24, 'trace_an': 0}
-
id: 124095024
{'hecke_orbit_code': 9008848555737488, 'n': 25, 'trace_an': -10}
-
id: 124095025
{'hecke_orbit_code': 9008848555737488, 'n': 26, 'trace_an': 0}
-
id: 124095026
{'hecke_orbit_code': 9008848555737488, 'n': 27, 'trace_an': 5}
-
id: 124095027
{'hecke_orbit_code': 9008848555737488, 'n': 28, 'trace_an': 0}
-
id: 124095028
{'hecke_orbit_code': 9008848555737488, 'n': 29, 'trace_an': -5}
-
id: 124095029
{'hecke_orbit_code': 9008848555737488, 'n': 30, 'trace_an': 0}
-
id: 124095030
{'hecke_orbit_code': 9008848555737488, 'n': 31, 'trace_an': 9}
-
id: 124095031
{'hecke_orbit_code': 9008848555737488, 'n': 32, 'trace_an': 0}
-
id: 124095032
{'hecke_orbit_code': 9008848555737488, 'n': 33, 'trace_an': 10}
-
id: 124095033
{'hecke_orbit_code': 9008848555737488, 'n': 34, 'trace_an': 0}
-
id: 124095034
{'hecke_orbit_code': 9008848555737488, 'n': 35, 'trace_an': -15}
-
id: 124095035
{'hecke_orbit_code': 9008848555737488, 'n': 36, 'trace_an': 0}
-
id: 124095036
{'hecke_orbit_code': 9008848555737488, 'n': 37, 'trace_an': 30}
-
id: 124095037
{'hecke_orbit_code': 9008848555737488, 'n': 38, 'trace_an': 0}
-
id: 124095038
{'hecke_orbit_code': 9008848555737488, 'n': 39, 'trace_an': 3}
-
id: 124095039
{'hecke_orbit_code': 9008848555737488, 'n': 40, 'trace_an': 0}
-
id: 124095040
{'hecke_orbit_code': 9008848555737488, 'n': 41, 'trace_an': -4}
-
id: 124095041
{'hecke_orbit_code': 9008848555737488, 'n': 42, 'trace_an': 0}
-
id: 124095042
{'hecke_orbit_code': 9008848555737488, 'n': 43, 'trace_an': 0}
-
id: 124095043
{'hecke_orbit_code': 9008848555737488, 'n': 44, 'trace_an': 0}
-
id: 124095044
{'hecke_orbit_code': 9008848555737488, 'n': 45, 'trace_an': -15}
-
id: 124095045
{'hecke_orbit_code': 9008848555737488, 'n': 46, 'trace_an': 0}
-
id: 124095046
{'hecke_orbit_code': 9008848555737488, 'n': 47, 'trace_an': 0}
-
id: 124095047
{'hecke_orbit_code': 9008848555737488, 'n': 48, 'trace_an': 0}
-
id: 124095048
{'hecke_orbit_code': 9008848555737488, 'n': 49, 'trace_an': 14}
-
id: 124095049
{'hecke_orbit_code': 9008848555737488, 'n': 50, 'trace_an': 0}
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id: 124095050
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