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{'Nk2': 20900, 'analytic_conductor': 41.721835056119, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[5, 1], [11, -1], [19, -1]], 'atkin_lehner_string': '+--', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [5225, 1, [2927, 2851, 4676], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 15, 'field_disc': 265220672769489567986553833289, 'field_disc_factorization': [[3, 3], [7, 1], [11, 1], [11239, 1], [21661, 1], [372829, 1], [1405519979401, 1]], 'field_poly': [15, 153, -45, -1081, 391, 2516, -1609, -1763, 1480, 431, -545, -4, 87, -11, -5, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-15, 153, 45, -1081, -391, 2516, 1609, -1763, -1480, 431, 545, -4, -87, -11, 5, 1]], [7, [-22429, -137361, 29409, 510031, 87941, -448684, -195473, 105408, 76610, -324, -10036, -2119, 253, 152, 21, 1]]], 'hecke_orbit': 18, 'hecke_orbit_code': 76561193698858089, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '5225.2.a.r', 'level': 5225, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [5, 11, 19], 'level_radical': 1045, 'minimal_twist': '5225.2.a.r', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{2}-\\beta _{5}q^{3}+(1+\\beta _{2})q^{4}+(-\\beta _{4}+\\cdots)q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 15, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5225.2.a', 'trace_display': [-5, -4, 0, -21], 'trace_hash': 1618136760430834483, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.573', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '366.363', 'prec': 24}, {'__RealLiteral__': 0, 'data': '158.546', 'prec': 24}, {'__RealLiteral__': 0, 'data': '18060.344', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.009', 'prec': 17}, 'traces': [15, -5, -4, 17, 0, -1, -21, -9, 15, 0, 15, -11, -13, 9, 0, 21, -17, -22, 15, 0, 6, -5, -26, 1, 0, 3, -1, -46, 9, 0, 14, -18, -4, -13, 0, 12, -9, -5, -22, 0, 4, 6, -28, 17, 0, 27, -14, 4, 32, 0, -40, -14, -3, -39, 0, 34, -4, -26, 1, 0, 2, 3, -45, 5, 0, -1, -37, -26, -7, 0, -7, -16, -42, -43, 0, 17, -21, 64, -10, 0, 31, -22, -14, -32, 0, 37, -29, -9, 15, 0, -22, -26, 18, -44, 0, 71, 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mf_newspaces • Show schema
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{'ALdims': [32, 37, 35, 30, 41, 31, 35, 45], 'Nk2': 20900, 'analytic_conductor': 41.721835056119, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [5225, 1, [2927, 2851, 4676], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 589, 'dim': 286, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7], 'hecke_orbit_code': 33559657, 'hecke_orbit_dims': [1, 1, 1, 2, 2, 2, 2, 5, 5, 5, 6, 6, 7, 7, 8, 9, 9, 15, 15, 15, 15, 15, 15, 15, 15, 16, 20, 22, 30], 'label': '5225.2.a', 'level': 5225, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [5, 11, 19], 'level_radical': 1045, 'mf_dim': 612, 'mf_new_dim': 286, 'num_forms': 29, 'plus_dim': 128, 'prim_orbit_index': 1, 'relative_dim': 286, 'sturm_bound': 1200, 'trace_bound': 7, 'trace_display': [2, 2, 0, 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-196, 12, -140, 0, -600, 92, 8, -564, 0, 232, -132, -104, -504, 0, 124, 68, 36, 412, 0, 40, 244, -56, 144, 0, 116, -188, -20, -76, 0, -592, 200, -60, -72, 0, 32, -416, 32, 0, 0, 144, 356, -4, -194, 0, -236, 40, 152, 236, 0, 40, -150, 0, -296, 0, -178, 32, -268, -556, 0, 360, 0, -188, 208, 0, 684, 240, -256, -132, 0, -352, 228, -6, -64, 0, 154, -328, 304, 92, 0, 480, -110, 80, 98, 0, 140, -44, -58, -388, 0, 168, 128, 88, 412, 0, 152, 164, 46, -208, 0, -424, 80, 160, -202, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48103278
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 15, 'source_embedding_index': 11, 'source_hecke_orbit_code': 76561193698858089, 'source_is_minimal': True, 'source_label': '5225.2.a.r.1.11', 'source_level': 5225, 'target_conrey_index': 1, 'target_dim': 15, 'target_embedding_index': 11, 'target_hecke_orbit_code': 76561193698858089, 'target_is_minimal': True, 'target_label': '5225.2.a.r.1.11', 'target_level': 5225, 'twist_class_label': '5225.2.a.r.1.11', 'twist_class_level': 5225, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48103279
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 15, 'source_embedding_index': 11, 'source_hecke_orbit_code': 76561193698858089, 'source_is_minimal': True, 'source_label': '5225.2.a.r.1.11', 'source_level': 5225, 'target_conrey_index': 1, 'target_dim': 15, 'target_embedding_index': 5, 'target_hecke_orbit_code': 108086391090451561, 'target_is_minimal': True, 'target_label': '5225.2.a.y.1.5', 'target_level': 5225, 'twist_class_label': '5225.2.a.r.1.11', 'twist_class_level': 5225, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3835000
{'charpoly_factorization': [[[-15, 153, 45, -1081, -391, 2516, 1609, -1763, -1480, 431, 545, -4, -87, -11, 5, 1], 1]], 'hecke_orbit_code': 76561193698858089, 'p': 2}
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id: 3835001
{'charpoly_factorization': [[[-683, 818, 3765, -2828, -8006, 2586, 7684, -595, -3687, -257, 896, 145, -101, -22, 4, 1], 1]], 'hecke_orbit_code': 76561193698858089, 'p': 3}
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id: 3835002
{'charpoly_factorization': [[[0, 1], 15]], 'hecke_orbit_code': 76561193698858089, 'p': 5}
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id: 3835003
{'charpoly_factorization': [[[-22429, -137361, 29409, 510031, 87941, -448684, -195473, 105408, 76610, -324, -10036, -2119, 253, 152, 21, 1], 1]], 'hecke_orbit_code': 76561193698858089, 'p': 7}
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id: 3835004
{'charpoly_factorization': [[[-1, 1], 15]], 'hecke_orbit_code': 76561193698858089, 'p': 11}
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id: 3835005
{'charpoly_factorization': [[[531655, -241516, -2008913, -397420, 2003656, 1057634, -486709, -441710, -19768, 51769, 10062, -1944, -667, -4, 13, 1], 1]], 'hecke_orbit_code': 76561193698858089, 'p': 13}
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id: 3835006
{'charpoly_factorization': [[[-1116225, 3544002, 67857789, 182953039, 140068260, 18537879, -20658867, -8201626, -37449, 462132, 60055, -7465, -1890, -23, 17, 1], 1]], 'hecke_orbit_code': 76561193698858089, 'p': 17}
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id: 3835007
{'charpoly_factorization': [[[-1, 1], 15]], 'hecke_orbit_code': 76561193698858089, 'p': 19}
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id: 3835008
{'charpoly_factorization': [[[2682024, 20344608, 37476306, 291865, -56829377, -53803232, -16395506, 1560666, 1951288, 296820, -42931, -16040, -871, 178, 26, 1], 1]], 'hecke_orbit_code': 76561193698858089, 'p': 23}
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id: 3835009
{'charpoly_factorization': [[[-31375800, 828314784, -1881786210, 594086533, 726067277, -151912605, -92010190, 13919334, 5211070, -657678, -144635, 16770, 1889, -212, -9, 1], 1]], 'hecke_orbit_code': 76561193698858089, 'p': 29}
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id: 3835010
{'charpoly_factorization': [[[-1388125, -2917059, 8525983, 5264113, -13616411, -53321, 6755062, -2613705, -190108, 273234, -35795, -6114, 1694, -52, -14, 1], 1]], 'hecke_orbit_code': 76561193698858089, 'p': 31}
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id: 3835011
{'charpoly_factorization': [[[162016351, 314621230, -435751892, -639559637, -80928646, 141993275, 45848211, -7461757, -4465121, -98686, 151177, 11831, -2036, -207, 9, 1], 1]], 'hecke_orbit_code': 76561193698858089, 'p': 37}
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id: 3835012
{'charpoly_factorization': [[[-220545465, 834586578, -583272195, -743174212, 726282035, -34565143, -100325373, 15292370, 5058884, -955355, -113816, 23933, 1142, -261, -4, 1], 1]], 'hecke_orbit_code': 76561193698858089, 'p': 41}
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id: 3835013
{'charpoly_factorization': [[[212132375, 676639061, 137918896, -682966242, -216446234, 239593633, 61209809, -33407617, -4752251, 1501513, 196910, -24688, -3891, 74, 28, 1], 1]], 'hecke_orbit_code': 76561193698858089, 'p': 43}
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id: 3835014
{'charpoly_factorization': [[[812451225, 1337842869, -298386006, -967945651, -40484604, 254893675, 35765640, -29142075, -6185812, 1182428, 377951, 7994, -4368, -249, 14, 1], 1]], 'hecke_orbit_code': 76561193698858089, 'p': 47}
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id: 3835015
{'charpoly_factorization': [[[33084572583, -71171562366, -1698788592, 19101364724, -640894762, -1943378311, 74484496, 97718789, -3286897, -2676785, 70817, 40564, -741, -318, 3, 1], 1]], 'hecke_orbit_code': 76561193698858089, 'p': 53}
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id: 3835016
{'charpoly_factorization': [[[-766016655, 7288722027, 18191757036, 4138445122, -6041429935, -2225791370, 327605290, 172167040, -5243324, -5123570, 15373, 69867, 191, -435, -1, 1], 1]], 'hecke_orbit_code': 76561193698858089, 'p': 59}
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id: 3835017
{'charpoly_factorization': [[[2601462755, 41660638977, -51882636144, 4735041579, 11595091970, -2604050583, -805026316, 216886203, 22453346, -6599288, -248447, 84894, 1162, -483, -2, 1], 1]], 'hecke_orbit_code': 76561193698858089, 'p': 61}
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id: 3835018
{'charpoly_factorization': [[[-995592677, -565732862, 4310894023, -2796656037, -898335790, 1040721955, -49941666, -85374962, 3252452, 3298980, 46295, -57818, -3575, 309, 37, 1], 1]], 'hecke_orbit_code': 76561193698858089, 'p': 67}
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id: 3835019
{'charpoly_factorization': [[[-765891181005, 1832891931429, -1378988660799, 227422824397, 126728810038, -39688051945, -2531774524, 1446203048, 268332, -22404605, 367030, 172303, -2987, -657, 7, 1], 1]], 'hecke_orbit_code': 76561193698858089, 'p': 71}
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id: 3835020
{'charpoly_factorization': [[[23072143651, -20247507234, -13737320342, 10745139271, 4126304960, -1807574180, -706176481, 72882513, 51519937, 3909405, -861927, -163077, -7055, 385, 42, 1], 1]], 'hecke_orbit_code': 76561193698858089, 'p': 73}
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id: 3835021
{'charpoly_factorization': [[[1326572185771, 855249688244, -166256491988, -231344928009, -37278503702, 9861531526, 3000844563, -63020763, -80629411, -3336059, 966595, 67179, -5171, -447, 10, 1], 1]], 'hecke_orbit_code': 76561193698858089, 'p': 79}
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id: 3835022
{'charpoly_factorization': [[[-87522675, 421419735, 3825897492, 6072242678, 284875052, -2429880539, -27223084, 278486043, -21219252, -7153824, 560763, 80080, -4854, -441, 14, 1], 1]], 'hecke_orbit_code': 76561193698858089, 'p': 83}
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id: 3835023
{'charpoly_factorization': [[[-1998434698983, 8694124921971, -3104673779514, -972883107398, 428704614444, 16362342517, -16910816507, 389470831, 293427498, -13784786, -2484424, 144909, 9945, -636, -15, 1], 1]], 'hecke_orbit_code': 76561193698858089, 'p': 89}
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id: 3835024
{'charpoly_factorization': [[[-1657280631608, 2293751276152, 585317674414, -676828804625, -215779207074, 19753195779, 11833186313, 267998104, -240865884, -15295104, 2040603, 173685, -6974, -719, 8, 1], 1]], 'hecke_orbit_code': 76561193698858089, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 18, 'label': '5225.2.a.r', 'level': 5225, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 62348773
{'hecke_orbit_code': 76561193698858089, 'n': 1, 'trace_an': 15}
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id: 62348774
{'hecke_orbit_code': 76561193698858089, 'n': 2, 'trace_an': -5}
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id: 62348775
{'hecke_orbit_code': 76561193698858089, 'n': 3, 'trace_an': -4}
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id: 62348776
{'hecke_orbit_code': 76561193698858089, 'n': 4, 'trace_an': 17}
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id: 62348777
{'hecke_orbit_code': 76561193698858089, 'n': 5, 'trace_an': 0}
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id: 62348778
{'hecke_orbit_code': 76561193698858089, 'n': 6, 'trace_an': -1}
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id: 62348779
{'hecke_orbit_code': 76561193698858089, 'n': 7, 'trace_an': -21}
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id: 62348780
{'hecke_orbit_code': 76561193698858089, 'n': 8, 'trace_an': -9}
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id: 62348781
{'hecke_orbit_code': 76561193698858089, 'n': 9, 'trace_an': 15}
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id: 62348782
{'hecke_orbit_code': 76561193698858089, 'n': 10, 'trace_an': 0}
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id: 62348783
{'hecke_orbit_code': 76561193698858089, 'n': 11, 'trace_an': 15}
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id: 62348784
{'hecke_orbit_code': 76561193698858089, 'n': 12, 'trace_an': -11}
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id: 62348785
{'hecke_orbit_code': 76561193698858089, 'n': 13, 'trace_an': -13}
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id: 62348786
{'hecke_orbit_code': 76561193698858089, 'n': 14, 'trace_an': 9}
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id: 62348787
{'hecke_orbit_code': 76561193698858089, 'n': 15, 'trace_an': 0}
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id: 62348788
{'hecke_orbit_code': 76561193698858089, 'n': 16, 'trace_an': 21}
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