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mf_newforms • Show schema
Hide schema
{'Nk2': 1500, 'analytic_conductor': 2.994390075798014, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 25, 'char_degree': 4, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 5, 'char_parity': 1, 'char_values': [375, 5, [251, 127], [5, 1]], 'cm_discs': [], 'conrey_index': 76, 'conrey_indexes': [76, 151, 226, 301], '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': 3, 'hecke_orbit_code': 9007611605156215, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 5, 'hecke_ring_index_factorization': [[5, 1]], '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': '375.2.g.c', 'level': 375, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, '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}+\\beta _{8}q^{3}+(-1-\\beta _{4}+\\beta _{8}+\\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': '375.2.g', 'trace_display': [0, -3, 0, 12], 'trace_hash': 2150616798823531559, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.363', 'prec': 20}, {'__RealLiteral__': 0, 'data': '6.226', 'prec': 17}, {'__RealLiteral__': 0, 'data': '428.318', 'prec': 24}, {'__RealLiteral__': 0, 'data': '956.690', 'prec': 24}, {'__RealLiteral__': 0, 'data': '34069.197', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.003', 'prec': 17}, 'traces': [12, 0, -3, -10, 0, 0, 12, -9, -3, 0, -4, 0, 2, 6, 0, 16, 1, 0, 7, 0, -3, -13, -19, 6, 0, -56, -3, -1, -1, 0, 13, 32, 1, -25, 0, 0, -8, 22, 2, 0, 8, 16, 4, 33, 0, -22, 13, 16, -28, 0, 26, -44, -44, 0, 0, 45, 22, -41, -22, 0, -8, -41, -3, 49, 0, -3, 6, 100, 6, 0, -21, -9, 16, -44, 0, -52, -1, 19, 10, 0, -3, -26, 10, -6, 0, 56, 4, 16, 57, 0, -7, -3, -22, -23, 0, -23, -4, 18, 6, 0, -34, -25, 29, 52, 0, 53, -52, -10, -3, 0, -8, -3, -35, 22, 0, 51, -8, -32, -9, 0, 27, 88, 8, -4, 0, -44, 21, -74, 4, 0, 32, 18, 20, -50, 0, 3, -30, 3, 48, 0, -27, 15, 48, -34, 0, -7, 2, 39, -124, 0, 64, 24, 1, -48, 0, 31, 100, -30, 21, 0, -22, 0, 3, -29, 0, -43, 17, -70, 5, 0, 7, 49, -10, 44, 0, -50, -22, -68, 35, 0, -47, -106, -3, 35, 0, -41, -27, -12, -3, 0, 16, -26, 20, 95, 0, -8, -61, -3, 66, 0, 16, -38, 40, -85, 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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, 1, 0, 0, 0], [-1, 0, 0, 0, -1, 0, 0, 0, 1, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 1, -1, 0, -1, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0], [0, -1, 2, -1, 1, -2, 0, -1, 1, 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], [-1, 0, -1, 0, 0, 0, 0, 0, -1, -1, 0, 0], [1, 0, 0, 0, 2, 0, 1, -1, 0, 0, 0, 0], [1, 0, 0, -1, 1, 0, 1, -1, 0, 0, -1, -1], [3, 0, -1, 0, 4, 0, 0, -4, 3, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, -1, 1, 0, 5, 0, -1, -3, 0, 0, 1, 1], [-1, -1, 0, -1, -1, 0, 0, -2, -2, -1, -1, 1], [0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0], [1, 1, 0, 1, -2, 0, 1, -1, -1, 1, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0], [-1, 2, 0, 2, -1, 2, 0, 0, 2, 0, -1, 0], [-3, 0, -1, 0, -1, 0, 0, 1, -3, -1, 0, -1], [0, 0, -1, 1, 0, 2, 0, 1, -1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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1, -1, 0], [-6, 0, 1, -1, 0, 1, 1, -8, 4, -4, -4, -1], [-7, 3, 0, 1, -9, 1, 2, 0, -3, 2, 2, 0], [8, 3, -3, 9, 5, 0, 3, -8, 0, 0, 0, 0], [4, -4, 7, -4, 7, -7, 4, 3, 11, 4, 0, -4], [-12, 4, -8, 0, -7, 4, 0, 7, -12, 1, 0, 0], [3, 5, 0, 1, 1, 1, 2, 0, -7, 2, 4, 0], [-7, 3, -3, 3, 3, 3, -7, 4, -4, -7, 0, 7], [-7, -4, 3, 0, -4, -4, 0, 4, -7, -2, 0, -6], [0, 9, 0, 1, 2, 1, -2, 0, 5, -2, 1, 0], [-2, 0, 0, 0, 0, 6, -5, -4, 3, -1, -1, 5], [12, 1, -1, 0, 0, 0, 3, -12, 0, 0, -1, -1], [-6, 10, -1, 10, 5, 1, -7, 8, -1, -6, 1, 6], [-6, 7, 0, -3, -4, -3, -2, 0, -16, -2, 2, 0], [3, -4, 2, -4, -1, -2, -2, 16, 2, 3, 5, -3], [4, 1, 4, 1, -14, -4, 8, 7, -10, 4, -4, -4], [-19, -4, -1, 0, -18, -4, 0, 18, -19, 2, 0, 1], [18, 0, -1, 1, 0, -3, 1, -18, 19, 1, 1, -1], [-18, 0, -2, 2, 0, -2, 2, 4, -5, -1, -1, -2], [0, 0, -2, 2, 0, 6, -9, 3, -4, -1, -1, 9], [9, -8, 2, 0, 0, -8, 0, 0, 9, 4, 0, -4], [-7, 1, -1, 5, -17, 0, -3, 7, 0, 0, -3, -3], [0, -5, -1, -5, 0, 1, 2, 5, 0, 0, -2, 0], [5, -6, 0, -5, 4, -5, 1, 0, -16, 1, -1, 0], [5, 7, -7, 2, -3, 0, 4, -5, 0, 0, -6, -6], [8, -4, 4, -6, 1, 0, 1, -8, 0, 0, 1, 1], [12, 0, -2, 2, 0, 6, 0, -12, 14, 2, 2, 0], [9, -9, 0, -4, 7, -4, 2, 0, -3, 2, -1, 0], [4, 0, 0, 0, -12, 0, -6, -4, 0, 0, 3, 3], [22, -4, 0, -4, 23, -4, -1, 0, 0, -1, 0, 0], [4, -2, 0, 0, 15, -2, 0, -15, 4, -1, 0, -4], [-11, 8, -8, 4, -8, 0, -4, 11, 0, 0, 6, 6], [-5, 8, 0, 1, -4, 1, -1, 0, -18, -1, 1, 0], [23, 0, -3, 3, 0, 3, 6, -4, 6, 2, 2, -6], [-3, 0, 0, -9, 8, 0, -5, 3, 0, 0, 6, 6], [4, 3, -2, 3, -6, 2, 7, 9, -2, 4, -3, -4], [-16, -10, 0, -4, -15, -4, -1, 0, -2, -1, -7, 0], [-11, 1, 4, 0, 9, 1, 0, -9, -11, -2, 0, 3], [17, -1, 1, -5, 5, 0, -3, -17, 0, 0, 1, 1], [17, 0, 7, -7, 0, 0, 0, 5, 2, 7, 7, 0], [3, 0, 10, -10, 0, 1, 0, 0, 2, 2, 2, 0], [-8, 0, 2, -2, 0, 6, -2, 15, -17, -2, -2, 2], [-16, 0, -7, 7, 0, 6, 5, 3, -3, 0, 0, -5], [4, -2, 2, 10, 4, 0, 8, -4, 0, 0, -5, -5], [-2, 9, -6, 9, -14, 6, 4, 11, -16, -2, -6, 2], [5, -8, 1, -8, -10, -1, 0, 11, -5, 5, 5, -5], [-2, -5, 9, -5, -6, -9, 3, 8, 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0, -1, 2, 0, -7, 7, 0, 0, 6, 6], [-7, -15, 0, -12, -8, -12, 1, 0, 3, 1, 5, 0], [7, 5, -5, 2, 9, 0, -10, -7, 0, 0, 9, 9], [16, -2, 2, 0, 16, -2, 0, -16, 16, 3, 0, -3], [14, -11, 0, -6, 10, -6, 4, 0, 11, 4, 4, 0], [-9, 4, 1, 0, -12, 4, 0, 12, -9, 6, 0, -7], [-8, -1, -3, 0, 20, -1, 0, -20, -8, -4, 0, 1], [4, 13, 0, 8, 7, 8, -3, 0, -1, -3, 2, 0], [25, 5, -12, 0, 4, 5, 0, -4, 25, 0, 0, -2], [-5, -13, 0, -10, -12, -10, 7, 0, 3, 7, -1, 0], [18, 0, 1, -1, 0, 5, 4, -19, 21, 2, 2, -4], [-21, -4, 4, -17, -3, 0, -6, 21, 0, 0, 7, 7], [-7, 3, -3, 9, 10, 0, -6, 7, 0, 0, 4, 4], [-5, -7, 4, 0, -8, -7, 0, 8, -5, -2, 0, 3], [-6, 0, -6, 0, -12, 6, 0, -16, -18, -6, -6, 6], [0, -12, 13, -12, 1, -13, -7, 6, 1, 0, 7, 0], [9, 0, 0, -9, 13, 0, -6, -9, 0, 0, 3, 3], [12, 0, 1, -1, 0, 4, -8, -4, -1, -5, -5, 8], [11, 10, -5, 0, 17, 10, 0, -17, 11, 2, 0, 4], [1, 1, 11, 1, 7, -11, -1, 4, 8, 1, 2, -1], [11, -3, 0, 4, 0, 4, 11, 0, 20, 11, 1, 0], [-4, 10, -10, 13, -1, 0, 0, 4, 0, 0, -3, -3], [-16, 5, -5, 2, -10, 0, 9, 16, 0, 0, -11, -11], [-2, -1, 0, -9, -4, -9, 2, 0, -5, 2, 1, 0], [0, 14, 0, 1, 3, 1, -3, 0, -13, -3, 1, 0], [3, -8, 9, -8, -14, -9, 5, -10, -11, 3, -2, -3], [-12, 4, 0, -3, -6, -3, -6, 0, -12, -6, 5, 0], [19, 0, -1, 0, 25, 0, 0, -25, 19, 3, 0, 0], [7, 4, -3, 4, -4, 3, 9, 6, 3, 7, -2, -7], [13, -10, 10, -9, 10, 0, 5, -13, 0, 0, -8, -8], [15, -14, 0, -11, 16, -11, -1, 0, 24, -1, 9, 0]], 'char_orbit_index': 7, 'field_poly': [1, -11, 96, -409, 877, -179, 236, -22, 34, -2, 3, 0, 1], 'hecke_orbit_code': 9007611605156215, 'hecke_ring_character_values': [[251, [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, 6061764550, 30308822750, 30308822750], '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, 0, 0, 0, 4, 0, 1, -1, 0, 0, 0, 0], [0, 1, -6, 0, -1, 1, 0, 1, 0, 0, 0, 0], [-6, 0, 1, 0, 9, -1, -5, -25, 3, -6, -1, 6], [3, 0, -11, 11, 0, 37, 1, 10, -9, 1, 1, -1], [-82, 2, 0, -12, -71, -12, -11, 0, 79, -11, -37, 0], [87, -93, 93, 142, 116, 0, 2, -87, 0, 0, 12, 12], [-438, 111, -144, 0, -1059, 111, 0, 1059, -438, 93, 0, -235], [-144, -815, 1529, -815, 712, -1529, -33, -1015, 568, -144, -111, 144], [4799, 0, -934, 934, 0, 1303, 714, 3815, -2286, 1529, 1529, -714], [-6568, 4900, 0, -5243, -5634, -5243, -934, 0, 1821, -934, -1303, 0]], '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], [-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], [25111873119, -76145058940, -2476340056991, 1740835657738, -826296544974, 451494146575, -112688230641, 64978959816, -10545703663, 4372551549, -2131145819, 1905700356], [-24741863047, 181257165080, -39335186057, -2963207308274, 235277902802, -837917775445, 19844616263, -122363308068, 1926569149, -11296708427, -1818269283, -3685345568], [-51950796787, 557093397120, -3119750034407, 5941261149626, -1312990013398, 1596671748575, -163465627957, 230098529182, -14973917351, 19982886423, -444010163, 6770591262], [13852270880, -355758053867, 1992575852018, -3198526129079, 790744249492, -852450509356, 100643733429, -122610276713, 9161303434, -10484886687, 648267081, -3594254357], [-164302304099, 1590614018810, -9866805339769, 18791172393242, -4156383014316, 5055738779435, -518817498679, 728953008894, -47451650867, 63167876941, -1399563761, 21468863544], [45677018676, -1191999052005, 6669444982566, -24698086195263, 3779688498924, -6776249219160, 433510281051, -981450539091, 39572030488, -88476638949, -6153218841, -29133222771]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 12, 'label': '375.2.g.c', 'level': 375, 'maxp': 997, 'weight': 2}
-
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{'Nk2': 1500, 'analytic_conductor': 2.994390075798014, 'char_conductor': 25, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 5, 'char_parity': 1, 'char_values': [375, 5, [251, 127], [5, 1]], 'conrey_index': 76, 'cusp_dim': 160, 'dim': 56, 'eis_dim': 80, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 412350415223, 'hecke_orbit_dims': [4, 8, 12, 16, 16], 'label': '375.2.g', 'level': 375, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 240, 'mf_new_dim': 56, 'num_forms': 5, 'prim_orbit_index': 4, 'relative_dim': 14, 'sturm_bound': 100, 'trace_bound': 2, 'trace_display': [2, 0, 0, 8], 'traces': [56, 2, 0, -12, 0, 2, 8, -12, -14, 0, -6, 8, 12, 12, 0, -20, 10, -8, 2, 0, 4, -30, -36, -24, 0, -8, 0, 26, -36, 0, 6, -12, 6, 66, 0, -12, 8, 26, 8, 0, -34, 14, -32, -26, 0, 16, 16, 32, 40, 0, -32, -40, -36, 2, 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0, 136, 116, 56, -486, 0, 208, 40, -280, 16, 0, 326, -12, -160, -524, 0, -388, 90, -182, 32, 0, 162, -192, 34, -180, 0, 502, -96, -232, -132, 0, 312, -74, -40, -146, 0, 420, 72, 216, -56, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 281559
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 12, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '375.2.g.c', 'source_level': 375, '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': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 281560
{'conductor': 25, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 12, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '375.2.g.c', 'source_level': 375, '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': '25.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 281561
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 12, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '375.2.g.c', 'source_level': 375, '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': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 281562
{'conductor': 75, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 12, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '375.2.g.c', 'source_level': 375, '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': '75.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 281563
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 7, 'source_dim': 12, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '375.2.g.c', 'source_level': 375, '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': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 281564
{'conductor': 25, 'degree': 4, 'multiplicity': 1, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 12, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '375.2.g.c', 'source_level': 375, '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': '25.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 281565
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 12, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '375.2.g.c', 'source_level': 375, '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': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 281566
{'conductor': 25, 'degree': 8, 'multiplicity': 2, 'order': 20, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 12, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '375.2.g.c', 'source_level': 375, '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': '25.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 281567
{'conductor': 25, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 12, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '375.2.g.c', 'source_level': 375, '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': '25.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 281568
{'conductor': 25, 'degree': 4, 'multiplicity': 1, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 12, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '375.2.g.c', 'source_level': 375, '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': '25.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 281569
{'conductor': 25, 'degree': 8, 'multiplicity': 2, 'order': 20, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 12, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '375.2.g.c', 'source_level': 375, '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': '25.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 281570
{'conductor': 75, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 12, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '375.2.g.c', 'source_level': 375, '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': '75.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 281571
{'conductor': 75, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 12, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '375.2.g.c', 'source_level': 375, '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': '75.j', 'twisting_char_orbit': 10, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 795350
{'charpoly_factorization': [[[1, 14, 96, 321, 852, 96, 91, 8, 34, 3, 8, 0, 1], 1]], 'hecke_orbit_code': 9007611605156215, 'p': 2}
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id: 795351
{'charpoly_factorization': [[[1, 1, 1, 1, 1], 3]], 'hecke_orbit_code': 9007611605156215, 'p': 3}
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id: 795352
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 9007611605156215, 'p': 5}
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id: 795353
{'charpoly_factorization': [[[20, -20, -25, 25, 4, -6, 1], 2]], 'hecke_orbit_code': 9007611605156215, 'p': 7}
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id: 795354
{'charpoly_factorization': [[[59536, 19520, 46448, 37838, 23099, 3553, 3901, 251, 212, 1, 11, 4, 1], 1]], 'hecke_orbit_code': 9007611605156215, 'p': 11}
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id: 795355
{'charpoly_factorization': [[[10201, 157560, 926492, -96364, 194054, -29186, 18329, -1828, 457, 18, 19, -2, 1], 1]], 'hecke_orbit_code': 9007611605156215, 'p': 13}
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id: 795356
{'charpoly_factorization': [[[21520321, 15304061, 16136289, 3548020, 640270, 127031, 44941, 1159, 760, 160, 29, -1, 1], 1]], 'hecke_orbit_code': 9007611605156215, 'p': 17}
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id: 795357
{'charpoly_factorization': [[[144400, -125400, 244440, -366020, 311101, -85007, 10923, -139, 710, -179, 73, -7, 1], 1]], 'hecke_orbit_code': 9007611605156215, 'p': 19}
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id: 795358
{'charpoly_factorization': [[[4080400, 2403800, 3413700, 656950, 559235, -52695, 35410, 8265, 1551, 509, 156, 19, 1], 1]], 'hecke_orbit_code': 9007611605156215, 'p': 23}
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id: 795359
{'charpoly_factorization': [[[4431025, -2210250, 1363885, -616635, 255601, -62141, 16207, -2538, 545, -32, 12, 1, 1], 1]], 'hecke_orbit_code': 9007611605156215, 'p': 29}
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id: 795360
{'charpoly_factorization': [[[8410000, -9425000, 15808000, -7774000, 5500025, -513775, 179220, -35605, 2351, 263, 44, -13, 1], 1]], 'hecke_orbit_code': 9007611605156215, 'p': 31}
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id: 795361
{'charpoly_factorization': [[[36300625, -23196250, 26472625, -4007250, 867525, 101000, 18455, 1550, 2576, 222, 44, 8, 1], 1]], 'hecke_orbit_code': 9007611605156215, 'p': 37}
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id: 795362
{'charpoly_factorization': [[[6831849025, -5018398325, 1749002375, -270723125, 43623460, -1803925, 638380, -85585, 17636, -1537, 179, -8, 1], 1]], 'hecke_orbit_code': 9007611605156215, 'p': 41}
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id: 795363
{'charpoly_factorization': [[[-6284, -1422, 1369, 174, -91, -2, 1], 2]], 'hecke_orbit_code': 9007611605156215, 'p': 43}
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id: 795364
{'charpoly_factorization': [[[5216656, 9346128, 15308248, 10666294, 3541003, 228711, -14118, 9289, 4013, -889, 178, -13, 1], 1]], 'hecke_orbit_code': 9007611605156215, 'p': 47}
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id: 795365
{'charpoly_factorization': [[[1189905025, 683345950, 369144525, 178298250, 75162585, 17567060, 4409895, 872810, 128756, 13394, 976, 44, 1], 1]], 'hecke_orbit_code': 9007611605156215, 'p': 53}
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id: 795366
{'charpoly_factorization': [[[15366400, -8232000, 13120240, -1218420, 1826161, 608092, 108283, -10236, 2225, 544, 213, 22, 1], 1]], 'hecke_orbit_code': 9007611605156215, 'p': 59}
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id: 795367
{'charpoly_factorization': [[[28314456361, 2319251627, 2125615763, 415809961, 83532878, 9010629, 1252612, 82331, 11178, 289, 53, 8, 1], 1]], 'hecke_orbit_code': 9007611605156215, 'p': 61}
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id: 795368
{'charpoly_factorization': [[[215619856, 151303936, 98258104, 51076650, 27556405, 5374286, 1493906, -16796, 8600, 590, 29, -6, 1], 1]], 'hecke_orbit_code': 9007611605156215, 'p': 67}
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id: 795369
{'charpoly_factorization': [[[38416, 249704, 6976424, -16339400, 14511625, -17926, 691931, -71639, 4950, 1125, 259, 21, 1], 1]], 'hecke_orbit_code': 9007611605156215, 'p': 71}
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id: 795370
{'charpoly_factorization': [[[493062025, -484624125, 377325100, -165631950, 51790035, -10361630, 1271285, -50305, 2311, -881, 191, -16, 1], 1]], 'hecke_orbit_code': 9007611605156215, 'p': 73}
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id: 795371
{'charpoly_factorization': [[[64000000, -52800000, 53360000, -22452000, 10174025, -2679425, 730875, -138925, 17860, 865, -35, -10, 1], 1]], 'hecke_orbit_code': 9007611605156215, 'p': 79}
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id: 795372
{'charpoly_factorization': [[[1683953296, 150109688, 10439084, -18676802, 10885437, -1526378, 924089, -166606, 29189, -2734, 217, -10, 1], 1]], 'hecke_orbit_code': 9007611605156215, 'p': 83}
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id: 795373
{'charpoly_factorization': [[[142170473025, 51903506025, 70721566965, -5534078130, 749196316, -1696647, 7501473, -2361589, 353250, -29914, 1683, -57, 1], 1]], 'hecke_orbit_code': 9007611605156215, 'p': 89}
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id: 795374
{'charpoly_factorization': [[[5755201, -304699389, 6155269049, 564755965, 202353010, 6104141, 1982626, 50839, 16020, 355, 139, 4, 1], 1]], 'hecke_orbit_code': 9007611605156215, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 7, 'hecke_orbit': 3, 'label': '375.2.g.c', 'level': 375, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 119555000
{'hecke_orbit_code': 9007611605156215, 'n': 1, 'trace_an': 12}
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id: 119555001
{'hecke_orbit_code': 9007611605156215, 'n': 2, 'trace_an': 0}
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id: 119555002
{'hecke_orbit_code': 9007611605156215, 'n': 3, 'trace_an': -3}
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id: 119555003
{'hecke_orbit_code': 9007611605156215, 'n': 4, 'trace_an': -10}
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id: 119555004
{'hecke_orbit_code': 9007611605156215, 'n': 5, 'trace_an': 0}
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id: 119555005
{'hecke_orbit_code': 9007611605156215, 'n': 6, 'trace_an': 0}
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id: 119555006
{'hecke_orbit_code': 9007611605156215, 'n': 7, 'trace_an': 12}
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id: 119555007
{'hecke_orbit_code': 9007611605156215, 'n': 8, 'trace_an': -9}
-
id: 119555008
{'hecke_orbit_code': 9007611605156215, 'n': 9, 'trace_an': -3}
-
id: 119555009
{'hecke_orbit_code': 9007611605156215, 'n': 10, 'trace_an': 0}
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id: 119555010
{'hecke_orbit_code': 9007611605156215, 'n': 11, 'trace_an': -4}
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id: 119555011
{'hecke_orbit_code': 9007611605156215, 'n': 12, 'trace_an': 0}
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id: 119555012
{'hecke_orbit_code': 9007611605156215, 'n': 13, 'trace_an': 2}
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id: 119555013
{'hecke_orbit_code': 9007611605156215, 'n': 14, 'trace_an': 6}
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id: 119555014
{'hecke_orbit_code': 9007611605156215, 'n': 15, 'trace_an': 0}
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id: 119555015
{'hecke_orbit_code': 9007611605156215, 'n': 16, 'trace_an': 16}
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id: 119555016
{'hecke_orbit_code': 9007611605156215, 'n': 17, 'trace_an': 1}
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id: 119555017
{'hecke_orbit_code': 9007611605156215, 'n': 18, 'trace_an': 0}
-
id: 119555018
{'hecke_orbit_code': 9007611605156215, 'n': 19, 'trace_an': 7}
-
id: 119555019
{'hecke_orbit_code': 9007611605156215, 'n': 20, 'trace_an': 0}
-
id: 119555020
{'hecke_orbit_code': 9007611605156215, 'n': 21, 'trace_an': -3}
-
id: 119555021
{'hecke_orbit_code': 9007611605156215, 'n': 22, 'trace_an': -13}
-
id: 119555022
{'hecke_orbit_code': 9007611605156215, 'n': 23, 'trace_an': -19}
-
id: 119555023
{'hecke_orbit_code': 9007611605156215, 'n': 24, 'trace_an': 6}
-
id: 119555024
{'hecke_orbit_code': 9007611605156215, 'n': 25, 'trace_an': 0}
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id: 119555025
{'hecke_orbit_code': 9007611605156215, 'n': 26, 'trace_an': -56}
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id: 119555026
{'hecke_orbit_code': 9007611605156215, 'n': 27, 'trace_an': -3}
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id: 119555027
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