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mf_newforms • Show schema
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{'Nk2': 900, 'analytic_conductor': 1.7966340454788086, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 25, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 5, 'char_parity': 1, 'char_values': [225, 5, [101, 127], [5, 3]], 'cm_discs': [], 'conrey_index': 46, 'conrey_indexes': [46, 91, 136, 181], 'dim': 12, 'field_disc': 9857077501953125, 'field_disc_factorization': [[5, 9], [19, 2], [3739, 2]], 'field_poly': [1, -11, 96, -409, 877, -179, 236, -22, 34, -2, 3, 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, [1, 14, 96, 321, 852, 96, 91, 8, 34, 3, 8, 0, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13511279952003297, '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, 4, 1, 5, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '225.2.h.d', 'level': 225, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'minimal_twist': '75.2.g.c', 'prim_orbit_index': 4, 'qexp_display': 'q+\\beta _{2}q^{2}+(-1+\\beta _{1}-\\beta _{5}-2\\beta _{8}+\\beta _{9}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c5', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '225.2.h', 'trace_display': [0, 0, 6, -12], 'trace_hash': 1638276776150458842, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.367', 'prec': 20}, {'__RealLiteral__': 0, 'data': '1.093', 'prec': 17}, {'__RealLiteral__': 0, 'data': '428.359', '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, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 1, 0, 0, 0, -1, 0, 0, -2, 1, 0, 1], [0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, -1, -2, 0, -1, 1, -2, 1, -1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, -1, -1, -1, -3, -1, -1, -3, 1, 1, 1, -1], [1, 0, -1, -1, 0, 0, 0, 0, -1, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 1, 3, -1, -1, 0, 0, -2, -1, 1], [-4, 0, -2, -1, -2, -5, 1, -5, 4, 1, 2, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, -1, 0, 1, 2, 5, -1, 4, 0, -2, -1, 1], [0, 0, 1, 2, 1, 0, -1, 3, 0, 0, -2, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -1, -2, -1, -2, 1, 0, 2, 1, 1, -1], [1, 2, 0, 2, 0, 6, -1, 5, -5, 0, -1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -3, 0, 0, -2, 1, -2, 0, 3, -1, 0, -1], [-4, 0, 0, 0, -2, -2, 1, -2, 4, 1, 2, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 1, -2, 0, 1, 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-3, -6, 1, 3, -9, 0, 6, 1, -5], [-11, -3, 0, -1, 1, -11, 1, 0, 0, 1, -1, 1], [-7, 3, -2, 3, -3, 0, 2, 7, -7, 5, 1, -2], [-7, -1, 0, -2, 1, -7, 1, 0, 5, -2, -2, -2], [-8, 0, -3, 0, -9, -8, 0, -8, 0, 0, 3, 3], [0, 8, 11, 8, 12, -7, 3, 7, 7, -4, -4, 4], [12, -4, -8, 1, 0, 7, -4, 7, -12, 0, 0, -1], [3, -1, 0, -2, 1, 3, 1, 0, 11, -4, -2, -4], [0, 10, 10, 14, 17, 3, -4, 3, -3, -7, -7, 7], [13, 4, 9, 4, 12, 10, -2, 10, -13, -6, -12, 8], [0, -10, 0, -2, -1, 0, -1, 0, 4, 1, -2, 1], [-3, -6, -5, -6, -10, 0, -1, -9, 9, 4, 5, -10], [11, -1, 0, -1, -2, 2, 1, 11, 0, 2, -1, -3], [0, -16, -7, -12, -22, -4, 5, 2, 4, 7, 5, -6], [-6, 7, 0, 2, -3, -6, -3, 0, 18, -2, 2, -2], [0, 7, 5, 6, 10, 6, -1, 19, -6, 2, -8, 3], [0, 3, 8, 8, 7, 10, 0, 11, -10, -8, 0, 4], [-18, -4, 2, -1, 2, -17, -5, -17, 18, -1, -2, 3], [17, -2, 0, -2, -1, 0, -2, 17, -17, 0, 1, -2], [20, 1, 0, 1, 2, 0, 0, 6, -6, -3, -2, 4], [-9, -10, -11, -10, -20, 0, 3, -6, 6, 8, 9, -18], [-5, 8, 6, 8, 8, 4, 4, 4, 5, -4, -8, 0], [10, -7, 2, 3, 1, 23, 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[0, 11, 8, 4, 13, -8, 4, -9, 8, 4, -8, 2], [0, -13, -6, -10, -18, -15, 4, -16, 15, 0, 10, -5], [0, -3, -7, 4, -1, -1, -11, -6, 1, 3, -7, 2], [3, 5, 6, 0, -2, 10, 0, 3, 0, 0, -1, -1], [6, -2, 4, -2, 7, 0, -5, -9, 9, -8, -3, 6], [2, 0, 0, 5, 4, 2, 4, 0, -9, -1, 5, -1], [-11, -5, 0, 5, -2, -11, -2, 0, -1, 3, 5, 3], [8, -2, -1, 2, -7, 4, -2, 8, 0, -4, -1, 3], [-16, 6, -8, -6, -8, -28, 10, -28, 16, 4, 8, -2], [-7, -1, -3, -2, -2, 13, 0, 13, 7, 1, 2, 0], [-23, 4, -7, -6, -8, -21, 8, -21, 23, 4, 8, -2], [0, 1, -2, -6, -2, -8, 4, -25, 8, 7, -1, -3], [17, 2, 3, 3, 8, 19, -3, 17, 0, -6, -1, 5], [4, 5, 4, 5, 10, 0, -5, 0, 0, -7, -6, 12], [-7, -1, -6, 1, -5, -10, -1, -7, 0, -2, 5, 7], [0, 17, 4, 8, 21, -2, -4, 1, 2, -1, -7, 4], [-16, 3, 13, 12, 14, 1, -4, 1, 16, -7, -14, 2], [0, -1, -6, -12, -7, -1, 6, -30, 1, 6, 6, -6], [-12, -1, -9, 5, -8, -6, 3, -6, 12, 4, 8, -13], [14, -1, 2, -1, 4, 0, -9, 9, -9, -5, -2, 4], [-4, -7, 3, -7, 0, 0, 9, -9, 9, -1, 3, -6], [4, -2, 4, -2, 2, 0, -12, 3, -3, 2, 2, -4], [22, -3, -9, -13, -12, -7, 3, -7, -22, 6, 12, 1], [0, 7, 12, 14, 14, -12, -2, 7, 12, -5, -9, 7], [-6, -2, 0, 8, 2, 3, -3, 3, 6, -1, -2, -6], [1, -1, -6, -6, -11, -1, 6, 1, 0, 12, 5, -7], [-7, -21, 0, -1, -12, -7, -12, 0, 2, -5, -1, -5], [-16, -6, -14, -9, -20, -8, 9, -16, 0, 18, 8, -10], [13, -2, -5, -6, -6, 13, 1, 13, -13, 3, 6, 0], [-14, 19, 0, 4, 6, -14, 6, 0, 7, 4, 4, 4], [16, -4, 8, 13, 14, 19, -11, 19, -16, -7, -14, 1], [-7, -1, 4, 5, 2, 21, -2, 21, 7, -1, -2, -3], [4, 14, 0, 3, 8, 4, 8, 0, 3, -2, 3, -2], [-23, -5, -10, 2, 4, -2, -7, -2, 23, -2, -4, 2], [5, 19, 0, 7, 10, 5, 10, 0, 4, -1, 7, -1], [14, -6, -5, -6, -9, 0, 9, 15, -15, 2, 4, -8], [-14, -5, 3, 7, -3, -2, -7, -14, 0, -14, -8, 6], [-3, 5, 7, 4, 17, 8, -4, -3, 0, -8, -2, 6], [2, 7, 1, -5, -6, 5, 10, 5, -2, 3, 6, -1], [0, -6, -12, -12, -12, 6, 0, -22, -6, 0, 12, -6], [0, 12, 13, 0, 12, 6, 13, 6, -6, 7, -7, 0], [12, 3, 3, 3, -3, 10, -3, 12, 0, -6, 0, 6], [-20, -13, -7, -13, -15, 0, 4, -12, 12, 3, 8, -16], [-15, -10, -9, -2, -8, -21, -6, -21, 15, 4, 8, -6], [0, 0, -12, -2, -1, 5, -10, -5, -5, -1, 3, -1], [-11, 15, 0, 11, -4, -11, -4, 0, 19, 1, 11, 1], [7, -13, -7, 3, -7, 4, -3, 7, 0, -6, -6, 0], [27, -7, 6, 11, 20, 12, -11, 27, 0, -22, -13, 9], [-2, -4, 0, -2, -9, -2, -9, 0, 6, -1, -2, -1], [0, 16, 0, 3, 1, 0, 1, 0, 14, -1, 3, -1], [0, 11, 12, 6, 14, 12, 6, -7, -12, -5, -1, 3], [12, -5, 0, -6, 3, 12, 3, 0, -17, 5, -6, 5], [19, 0, 1, -3, 0, 25, 0, 25, -19, 0, 0, 3], [0, -3, -4, -14, -10, -2, 10, -13, 2, 9, 5, -7], [5, -7, -18, -8, -25, 7, 8, 5, 0, 16, 11, -5], [-15, 22, 0, -1, 11, -15, 11, 0, 15, 9, -1, 9]], 'char_orbit_index': 8, 'field_poly': [1, -11, 96, -409, 877, -179, 236, -22, 34, -2, 3, 0, 1], 'hecke_orbit_code': 13511279952003297, 'hecke_ring_character_values': [[101, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [127, [0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 30308822750, 30308822750, 30308822750, 30308822750, 30308822750, 30308822750, 30308822750, 15154411375, 6061764550, 15154411375], 'hecke_ring_inverse_denominators': [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, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -1, 0, 0, 0, 5, 0, 1, 0, 0, -1, -1], [0, 1, 6, 0, 0, -1, 1, -1, 0, 0, 0, 0], [0, 6, 5, 12, 12, 10, -7, 31, -10, -5, -7, 6], [2, -2, 10, -2, 9, 0, 38, -11, 11, 0, 1, -2], [-82, 50, 0, 11, -12, -82, -12, 0, -116, 37, 11, 37], [99, -107, -81, 12, 166, 130, -12, 99, 0, -24, -26, -2], [-673, 111, -91, -328, -470, -1294, 346, -1294, 673, 235, 470, -142], [0, -671, -1385, 288, -527, 823, -1673, 1159, -823, -33, -255, 144], [4085, -2243, 220, -2243, -494, 0, 2017, -4529, 4529, -815, 714, -1428], [-6568, 7137, 0, 934, -5243, -6568, -5243, 0, -3124, 1303, 934, 1303]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1397761481, -35416016020, 198535658181, 45143977692, 49826077334, 15194306845, 7518729011, 2382459144, 688323383, 322545241, 275969449, 78219134], [-16004299508, 716195569825, -2418682513518, 636101258149, -685028180602, 114346528860, -98445654553, 14064780143, -8708425024, 423072977, -2737251577, 295076203], [-6770591262, 22525707095, -92883364032, -350578208249, 3452612852, -101054177500, -1187789257, -14512620193, -101573726, -1432734827, -328887363, -444010163], [-20040639729, 64350556005, 616828423421, -1176010741503, 265393611944, -322352980505, 33133211726, -46835566971, 3118068203, -3917314994, 78219134, -1397761481], [-3685345568, 65280664295, -535050339608, 1546641523369, -268840754862, 424398953870, -31823778603, 61232986233, -2938441244, 5444121987, 240671723, 1818269283], [24741863047, -181257165080, 39335186057, 2963207308274, -235277902802, 837917775445, -19844616263, 122363308068, -1926569149, 11296708427, 1818269283, 3685345568], [51950796787, -557093397120, 3119750034407, -5941261149626, 1312990013398, -1596671748575, 163465627957, -230098529182, 14973917351, -19982886423, 444010163, -6770591262], [81498022997, -557710769585, 2721179313802, -4687952077811, 1100339980428, -1252252255045, 138755057022, -180032467327, 12663738036, -15574701453, 669745048, -5281629612], [-19681913548, 234556298341, -890205653232, 2487936597601, -435400581988, 674811778168, -51790314045, 97434415327, -4686864056, 8742298783, 341056225, 2874546749], [26628527446, -531297349755, 3772098373286, -7678264693623, 1634346533429, -2073953008960, 202386506296, -299493301711, 18549046073, -26000680229, 252041914, -8838097791]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 12, 'label': '225.2.h.d', 'level': 225, 'maxp': 997, 'weight': 2}
-
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{'Nk2': 900, 'analytic_conductor': 1.7966340454788086, 'char_conductor': 25, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 5, 'char_parity': 1, 'char_values': [225, 5, [101, 127], [5, 3]], 'conrey_index': 46, 'cusp_dim': 104, 'dim': 44, 'eis_dim': 32, 'eis_new_dim': 8, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 481069891809, 'hecke_orbit_dims': [4, 4, 8, 12, 16], 'label': '225.2.h', 'level': 225, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 136, 'mf_new_dim': 52, 'num_forms': 5, 'prim_orbit_index': 4, 'relative_dim': 11, 'sturm_bound': 60, 'trace_bound': 2, 'trace_display': [4, 0, 11, -10], 'traces': [44, 4, 0, -12, 11, 0, -10, -7, 0, -4, -4, 0, -3, 11, 0, 8, 2, 0, 7, -21, 0, -14, -25, 0, -11, 44, 0, 5, -1, 0, 15, -30, 0, -20, 25, 0, -5, 21, 0, 7, -2, 0, -54, -32, 0, -3, 18, 0, -14, -76, 0, -12, -45, 0, 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0, -97, -80, 0, -232, -73, 0, 81, 211, 0, 82], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 181267
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 12, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '225.2.h.d', 'source_level': 225, 'target_char_orbit': 7, 'target_dim': 12, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '75.2.g.c', 'target_level': 75, 'twist_class_label': '75.2.g.c', 'twist_class_level': 75, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 181268
{'conductor': 75, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 12, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '225.2.h.d', 'source_level': 225, 'target_char_orbit': 7, 'target_dim': 12, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '75.2.g.c', 'target_level': 75, 'twist_class_label': '75.2.g.c', 'twist_class_level': 75, 'twisting_char_label': '75.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 181269
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 8, 'source_dim': 12, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '225.2.h.d', 'source_level': 225, 'target_char_orbit': 8, 'target_dim': 12, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '225.2.h.d', 'target_level': 225, 'twist_class_label': '75.2.g.c', 'twist_class_level': 75, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 181270
{'conductor': 25, 'degree': 4, 'multiplicity': 1, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 12, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '225.2.h.d', 'source_level': 225, 'target_char_orbit': 8, 'target_dim': 12, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '225.2.h.d', 'target_level': 225, 'twist_class_label': '75.2.g.c', 'twist_class_level': 75, 'twisting_char_label': '25.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 181271
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 12, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '225.2.h.d', 'source_level': 225, 'target_char_orbit': 7, 'target_dim': 12, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '375.2.g.c', 'target_level': 375, 'twist_class_label': '75.2.g.c', 'twist_class_level': 75, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 181272
{'conductor': 75, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 12, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '225.2.h.d', 'source_level': 225, 'target_char_orbit': 7, 'target_dim': 12, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '375.2.g.c', 'target_level': 375, 'twist_class_label': '75.2.g.c', 'twist_class_level': 75, 'twisting_char_label': '75.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 181273
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 12, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '225.2.h.d', 'source_level': 225, 'target_char_orbit': 9, 'target_dim': 24, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '375.2.i.d', 'target_level': 375, 'twist_class_label': '75.2.g.c', 'twist_class_level': 75, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 181274
{'conductor': 75, 'degree': 8, 'multiplicity': 2, 'order': 20, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 12, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '225.2.h.d', 'source_level': 225, 'target_char_orbit': 9, 'target_dim': 24, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '375.2.i.d', 'target_level': 375, 'twist_class_label': '75.2.g.c', 'twist_class_level': 75, 'twisting_char_label': '75.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 181275
{'conductor': 75, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 12, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '225.2.h.d', 'source_level': 225, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1875.2.a.j', 'target_level': 1875, 'twist_class_label': '75.2.g.c', 'twist_class_level': 75, 'twisting_char_label': '75.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 181276
{'conductor': 75, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 12, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '225.2.h.d', 'source_level': 225, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1875.2.a.k', 'target_level': 1875, 'twist_class_label': '75.2.g.c', 'twist_class_level': 75, 'twisting_char_label': '75.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 181277
{'conductor': 75, 'degree': 8, 'multiplicity': 2, 'order': 20, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 12, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '225.2.h.d', 'source_level': 225, 'target_char_orbit': 2, 'target_dim': 12, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1875.2.b.f', 'target_level': 1875, 'twist_class_label': '75.2.g.c', 'twist_class_level': 75, 'twisting_char_label': '75.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 181278
{'conductor': 25, 'degree': 4, 'multiplicity': 1, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 12, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '225.2.h.d', 'source_level': 225, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '5625.2.a.p', 'target_level': 5625, 'twist_class_label': '75.2.g.c', 'twist_class_level': 75, 'twisting_char_label': '25.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 181279
{'conductor': 25, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 12, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '225.2.h.d', 'source_level': 225, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '5625.2.a.q', 'target_level': 5625, 'twist_class_label': '75.2.g.c', 'twist_class_level': 75, 'twisting_char_label': '25.e', 'twisting_char_orbit': 5, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 538150
{'charpoly_factorization': [[[1, 14, 96, 321, 852, 96, 91, 8, 34, 3, 8, 0, 1], 1]], 'hecke_orbit_code': 13511279952003297, 'p': 2}
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id: 538151
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 13511279952003297, 'p': 3}
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id: 538152
{'charpoly_factorization': [[[15625, -18750, 10000, -2625, -100, 500, -285, 100, -4, -21, 16, -6, 1], 1]], 'hecke_orbit_code': 13511279952003297, 'p': 5}
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id: 538153
{'charpoly_factorization': [[[20, 20, -25, -25, 4, 6, 1], 2]], 'hecke_orbit_code': 13511279952003297, 'p': 7}
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id: 538154
{'charpoly_factorization': [[[59536, -19520, 46448, -37838, 23099, -3553, 3901, -251, 212, -1, 11, -4, 1], 1]], 'hecke_orbit_code': 13511279952003297, 'p': 11}
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id: 538155
{'charpoly_factorization': [[[10201, -157560, 926492, 96364, 194054, 29186, 18329, 1828, 457, -18, 19, 2, 1], 1]], 'hecke_orbit_code': 13511279952003297, 'p': 13}
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id: 538156
{'charpoly_factorization': [[[21520321, 15304061, 16136289, 3548020, 640270, 127031, 44941, 1159, 760, 160, 29, -1, 1], 1]], 'hecke_orbit_code': 13511279952003297, 'p': 17}
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id: 538157
{'charpoly_factorization': [[[144400, -125400, 244440, -366020, 311101, -85007, 10923, -139, 710, -179, 73, -7, 1], 1]], 'hecke_orbit_code': 13511279952003297, 'p': 19}
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id: 538158
{'charpoly_factorization': [[[4080400, 2403800, 3413700, 656950, 559235, -52695, 35410, 8265, 1551, 509, 156, 19, 1], 1]], 'hecke_orbit_code': 13511279952003297, 'p': 23}
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id: 538159
{'charpoly_factorization': [[[4431025, 2210250, 1363885, 616635, 255601, 62141, 16207, 2538, 545, 32, 12, -1, 1], 1]], 'hecke_orbit_code': 13511279952003297, 'p': 29}
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id: 538160
{'charpoly_factorization': [[[8410000, -9425000, 15808000, -7774000, 5500025, -513775, 179220, -35605, 2351, 263, 44, -13, 1], 1]], 'hecke_orbit_code': 13511279952003297, 'p': 31}
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id: 538161
{'charpoly_factorization': [[[36300625, 23196250, 26472625, 4007250, 867525, -101000, 18455, -1550, 2576, -222, 44, -8, 1], 1]], 'hecke_orbit_code': 13511279952003297, 'p': 37}
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id: 538162
{'charpoly_factorization': [[[6831849025, 5018398325, 1749002375, 270723125, 43623460, 1803925, 638380, 85585, 17636, 1537, 179, 8, 1], 1]], 'hecke_orbit_code': 13511279952003297, 'p': 41}
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id: 538163
{'charpoly_factorization': [[[-6284, 1422, 1369, -174, -91, 2, 1], 2]], 'hecke_orbit_code': 13511279952003297, 'p': 43}
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id: 538164
{'charpoly_factorization': [[[5216656, 9346128, 15308248, 10666294, 3541003, 228711, -14118, 9289, 4013, -889, 178, -13, 1], 1]], 'hecke_orbit_code': 13511279952003297, 'p': 47}
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id: 538165
{'charpoly_factorization': [[[1189905025, 683345950, 369144525, 178298250, 75162585, 17567060, 4409895, 872810, 128756, 13394, 976, 44, 1], 1]], 'hecke_orbit_code': 13511279952003297, 'p': 53}
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id: 538166
{'charpoly_factorization': [[[15366400, 8232000, 13120240, 1218420, 1826161, -608092, 108283, 10236, 2225, -544, 213, -22, 1], 1]], 'hecke_orbit_code': 13511279952003297, 'p': 59}
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id: 538167
{'charpoly_factorization': [[[28314456361, 2319251627, 2125615763, 415809961, 83532878, 9010629, 1252612, 82331, 11178, 289, 53, 8, 1], 1]], 'hecke_orbit_code': 13511279952003297, 'p': 61}
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id: 538168
{'charpoly_factorization': [[[215619856, -151303936, 98258104, -51076650, 27556405, -5374286, 1493906, 16796, 8600, -590, 29, 6, 1], 1]], 'hecke_orbit_code': 13511279952003297, 'p': 67}
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id: 538169
{'charpoly_factorization': [[[38416, -249704, 6976424, 16339400, 14511625, 17926, 691931, 71639, 4950, -1125, 259, -21, 1], 1]], 'hecke_orbit_code': 13511279952003297, 'p': 71}
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id: 538170
{'charpoly_factorization': [[[493062025, 484624125, 377325100, 165631950, 51790035, 10361630, 1271285, 50305, 2311, 881, 191, 16, 1], 1]], 'hecke_orbit_code': 13511279952003297, 'p': 73}
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id: 538171
{'charpoly_factorization': [[[64000000, -52800000, 53360000, -22452000, 10174025, -2679425, 730875, -138925, 17860, 865, -35, -10, 1], 1]], 'hecke_orbit_code': 13511279952003297, 'p': 79}
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id: 538172
{'charpoly_factorization': [[[1683953296, 150109688, 10439084, -18676802, 10885437, -1526378, 924089, -166606, 29189, -2734, 217, -10, 1], 1]], 'hecke_orbit_code': 13511279952003297, 'p': 83}
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id: 538173
{'charpoly_factorization': [[[142170473025, -51903506025, 70721566965, 5534078130, 749196316, 1696647, 7501473, 2361589, 353250, 29914, 1683, 57, 1], 1]], 'hecke_orbit_code': 13511279952003297, 'p': 89}
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id: 538174
{'charpoly_factorization': [[[5755201, 304699389, 6155269049, -564755965, 202353010, -6104141, 1982626, -50839, 16020, -355, 139, -4, 1], 1]], 'hecke_orbit_code': 13511279952003297, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 8, 'hecke_orbit': 4, 'label': '225.2.h.d', 'level': 225, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 142888000
{'hecke_orbit_code': 13511279952003297, 'n': 1, 'trace_an': 12}
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id: 142888001
{'hecke_orbit_code': 13511279952003297, 'n': 2, 'trace_an': 0}
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id: 142888002
{'hecke_orbit_code': 13511279952003297, 'n': 3, 'trace_an': 0}
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id: 142888003
{'hecke_orbit_code': 13511279952003297, 'n': 4, 'trace_an': -10}
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id: 142888004
{'hecke_orbit_code': 13511279952003297, 'n': 5, 'trace_an': 6}
-
id: 142888005
{'hecke_orbit_code': 13511279952003297, 'n': 6, 'trace_an': 0}
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id: 142888006
{'hecke_orbit_code': 13511279952003297, 'n': 7, 'trace_an': -12}
-
id: 142888007
{'hecke_orbit_code': 13511279952003297, 'n': 8, 'trace_an': -9}
-
id: 142888008
{'hecke_orbit_code': 13511279952003297, 'n': 9, 'trace_an': 0}
-
id: 142888009
{'hecke_orbit_code': 13511279952003297, 'n': 10, 'trace_an': -9}
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id: 142888010
{'hecke_orbit_code': 13511279952003297, 'n': 11, 'trace_an': 4}
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id: 142888011
{'hecke_orbit_code': 13511279952003297, 'n': 12, 'trace_an': 0}
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id: 142888012
{'hecke_orbit_code': 13511279952003297, 'n': 13, 'trace_an': -2}
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id: 142888013
{'hecke_orbit_code': 13511279952003297, 'n': 14, 'trace_an': -6}
-
id: 142888014
{'hecke_orbit_code': 13511279952003297, 'n': 15, 'trace_an': 0}
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id: 142888015
{'hecke_orbit_code': 13511279952003297, 'n': 16, 'trace_an': 16}
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id: 142888016
{'hecke_orbit_code': 13511279952003297, 'n': 17, 'trace_an': 1}
-
id: 142888017
{'hecke_orbit_code': 13511279952003297, 'n': 18, 'trace_an': 0}
-
id: 142888018
{'hecke_orbit_code': 13511279952003297, 'n': 19, 'trace_an': 7}
-
id: 142888019
{'hecke_orbit_code': 13511279952003297, 'n': 20, 'trace_an': -26}
-
id: 142888020
{'hecke_orbit_code': 13511279952003297, 'n': 21, 'trace_an': 0}
-
id: 142888021
{'hecke_orbit_code': 13511279952003297, 'n': 22, 'trace_an': 13}
-
id: 142888022
{'hecke_orbit_code': 13511279952003297, 'n': 23, 'trace_an': -19}
-
id: 142888023
{'hecke_orbit_code': 13511279952003297, 'n': 24, 'trace_an': 0}
-
id: 142888024
{'hecke_orbit_code': 13511279952003297, 'n': 25, 'trace_an': 4}
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id: 142888025
{'hecke_orbit_code': 13511279952003297, 'n': 26, 'trace_an': 56}
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