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Table mf_newspaces

Newspaces $S_k^{\rm new}(N,\chi)$ of modular forms

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{'ALdims': [41, 40, 39, 44], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [12, 12, 12, 12], 'ALdims_old': [83, 78, 77, 78], 'Nk2': 21168, 'analytic_conductor': 78.05952693759484, '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': [1323, 1, [785, 1081], [1, 1]], 'conrey_index': 1, 'cusp_dim': 480, 'dim': 164, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5, 13], 'hecke_orbit_code': 67110187, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 12, 12], 'id': 316940, 'label': '1323.4.a', 'level': 1323, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 7], 'level_radical': 21, 'mf_dim': 528, 'mf_new_dim': 164, 'num_forms': 43, 'plus_dim': 85, 'prim_orbit_index': 1, 'relative_dim': 164, 'sturm_bound': 672, 'trace_bound': 13, 'trace_display': [0, 0, 0, 0], 'traces': [164, 0, 0, 662, 0, 0, 0, 0, 0, -30, 0, 0, -2, 0, 0, 2810, 0, 0, -62, 0, 0, -270, 0, 0, 4202, 0, 0, 0, 0, 0, 406, 0, 0, -204, 0, 0, -338, 0, 0, -1266, 0, 0, 592, 0, 0, -1224, 0, 0, 0, 0, 0, 220, 0, 0, 1122, 0, 0, 300, 0, 0, 2410, 0, 0, 12302, 0, 0, 1222, 0, 0, 0, 0, 0, 1540, 0, 0, 2128, 0, 0, -2486, 0, 0, 1104, 0, 0, -720, 0, 0, -8730, 0, 0, 0, 0, 0, 1704, 0, 0, -3056, 0, 0, 15740, 0, 0, -5606, 0, 0, 510, 0, 0, 1096, 0, 0, 0, 0, 0, -6660, 0, 0, 3900, 0, 0, 22898, 0, 0, 18382, 0, 0, -12038, 0, 0, 17724, 0, 0, 0, 0, 0, 8328, 0, 0, -6662, 0, 0, 36, 0, 0, -6780, 0, 0, -6332, 0, 0, -3068, 0, 0, 0, 0, 0, 6172, 0, 0, -18786, 0, 0, -10142, 0, 0, -2730, 0, 0, 27090, 0, 0, 10744, 0, 0, 0, 0, 0, -9588, 0, 0, 4102, 0, 0, -6864, 0, 0, 18816, 0, 0, 11568, 0, 0, 1384, 0, 0, 0, 0, 0, -12992, 0, 0, -11118, 0, 0, 36780, 0, 0, -7640, 0, 0, -5594, 0, 0, -5874, 0, 0, 0, 0, 0, 17802, 0, 0, -19736, 0, 0, -39420, 0, 0, -9536, 0, 0, 32784, 0, 0, 5388, 0, 0, 0, 0, 0, -3182, 0, 0, 66628, 0, 0, -17110, 0, 0, 11214, 0, 0, 16716, 0, 0, 49250, 0, 0, 0, 0, 0, 33786, 0, 0, 34050, 0, 0, 29032, 0, 0, -8936, 0, 0, -1020, 0, 0, -15020, 0, 0, 0, 0, 0, 8284, 0, 0, -93816, 0, 0, 33788, 0, 0, -9206, 0, 0, 39252, 0, 0, 54222, 0, 0, 0, 0, 0, 13492, 0, 0, 45856, 0, 0, 726, 0, 0, 35104, 0, 0, -94892, 0, 0, 2160, 0, 0, 0, 0, 0, 32866, 0, 0, 9876, 0, 0, 18838, 0, 0, -33672, 0, 0, -41558, 0, 0, -63024, 0, 0, 0, 0, 0, -51138, 0, 0, -62858, 0, 0, -141486, 0, 0, 20280, 0, 0, 6126, 0, 0, 75570, 0, 0, 0, 0, 0, -38192, 0, 0, 50496, 0, 0, -58166, 0, 0, -12972, 0, 0, -53918, 0, 0, -40968, 0, 0, 0, 0, 0, 23710, 0, 0, 20472, 0, 0, 110634, 0, 0, -9692, 0, 0, 137360, 0, 0, -56992, 0, 0, 0, 0, 0, 16576, 0, 0, -185516, 0, 0, -104970, 0, 0, 8436, 0, 0, 15718, 0, 0, -24570, 0, 0, 0, 0, 0, -49440, 0, 0, 103330, 0, 0, -44276, 0, 0, 5446, 0, 0, -165060, 0, 0, -152748, 0, 0, 0, 0, 0, -25452, 0, 0, 84840, 0, 0, -24626, 0, 0, -58476, 0, 0, -114416, 0, 0, -135852, 0, 0, 0, 0, 0, -25080, 0, 0, -143030, 0, 0, 19344, 0, 0, 53426, 0, 0, 242348, 0, 0, 57874, 0, 0, 0, 0, 0, 37560, 0, 0, 233782, 0, 0, -8456, 0, 0, 9780, 0, 0, -79494, 0, 0, 4750, 0, 0, 0, 0, 0, 68424, 0, 0, -17508, 0, 0, 423948, 0, 0, -75506, 0, 0, 23544, 0, 0, 46412, 0, 0, 0, 0, 0, -4998, 0, 0, -182160, 0, 0, -137306, 0, 0, 61824, 0, 0, -145982, 0, 0, 164040, 0, 0, 0, 0, 0, -186740, 0, 0, 133376, 0, 0, -107436, 0, 0, 28596, 0, 0, -84048, 0, 0, -7106, 0, 0, 0, 0, 0, -98954, 0, 0, 62700, 0, 0, 38802, 0, 0, -52776, 0, 0, 39656, 0, 0, -2840, 0, 0, 0, 0, 0, 93960, 0, 0, -196706, 0, 0, -159410, 0, 0, -46022, 0, 0, 273084, 0, 0, 129226, 0, 0, 0, 0, 0, -58298, 0, 0, 153384, 0, 0, 181328, 0, 0, 139624, 0, 0, 18016, 0, 0, 73614, 0, 0, 0, 0, 0, 178038, 0, 0, 47728, 0, 0, 56112, 0, 0, 6360, 0, 0, 20740, 0, 0, -121818, 0, 0, 0, 0, 0, 51286, 0, 0, -146070, 0, 0, -112920, 0, 0, -137004, 0, 0, 198904, 0, 0, -115206, 0, 0, 0, 0, 0, 128778, 0, 0, 191532, 0, 0, -27608, 0, 0, 75448, 0, 0, -293166, 0, 0, 142584, 0, 0, 0, 0, 0, -22, 0, 0, 36888, 0, 0, 269818, 0, 0, -194820, 0, 0, -87312, 0, 0, -276012, 0, 0, 0, 0, 0, -232388, 0, 0, -163526, 0, 0, 50478, 0, 0, 25096, 0, 0, -161424, 0, 0, 131548, 0, 0, 0, 0, 0, -174138, 0, 0, 205200, 0, 0, 228460, 0, 0, 94248, 0, 0, 9142, 0, 0, 150120, 0, 0, 0, 0, 0, 62196, 0, 0, 66784, 0, 0, -572798, 0, 0, -103784, 0, 0, -390330, 0, 0, -88368, 0, 0, 0, 0, 0, 177622, 0, 0, -264972, 0, 0, -62086, 0, 0, -310670, 0, 0, 278808, 0, 0, -153996, 0, 0, 0, 0, 0, -205014, 0, 0, 56644, 0, 0, -509856, 0, 0, 52184, 0, 0, 85308, 0, 0, -32720, 0, 0, 0, 0, 0, -17390, 0, 0, -30320, 0, 0, 219900, 0, 0, 154188, 0, 0, 150980, 0, 0, -524924, 0, 0, 0, 0, 0, -94392, 0, 0, 51838, 0, 0, -120534, 0, 0, -29294, 0, 0, -193980, 0, 0, 1878, 0, 0, 0, 0, 0, 209966, 0, 0, 31104, 0, 0, 44314, 0, 0, 381954, 0, 0, 206254, 0, 0, -30648, 0, 0, 0, 0, 0, 234088, 0, 0, 31422, 0, 0, 84852, 0, 0, -150144, 0, 0, -311568, 0, 0, -99266, 0, 0, 0, 0, 0, 9246, 0, 0, -214148, 0, 0, -14018, 0, 0, 17346, 0, 0, 232078, 0, 0, 132924, 0, 0, 0, 0, 0, -252894, 0, 0, 163972, 0, 0, -350304, 0, 0, 273792, 0, 0, -247800, 0, 0, -111262, 0, 0, 0, 0, 0, -361080, 0, 0, -86280, 0, 0, 157626, 0, 0, -84224, 0, 0, -12404, 0, 0, 334638, 0, 0, 0, 0, 0, 293704, 0, 0, -206436, 0, 0, -317442, 0, 0, -79830, 0, 0, 148448, 0, 0, 155632, 0, 0, 0, 0, 0, -31316, 0, 0, -112110], 'weight': 4, 'weight_parity': 1}