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Table mf_newspaces

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

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{'Nk2': 2700, 'analytic_conductor': 5.389902136436426, 'char_conductor': 135, 'char_degree': 6, 'char_is_real': False, 'char_orbit_index': 21, 'char_orbit_label': 'u', 'char_order': 18, 'char_parity': 1, 'char_values': [675, 18, [326, 352], [14, 9]], 'conrey_index': 49, 'cusp_dim': 504, 'dim': 312, 'eis_dim': 72, 'eis_new_dim': 24, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 1374423089827, 'hecke_orbit_dims': [12, 24, 60, 84, 132], 'id': 168748, 'label': '675.2.u', 'level': 675, '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, 5], 'level_radical': 15, 'mf_dim': 576, 'mf_new_dim': 336, 'num_forms': 5, 'prim_orbit_index': 16, 'relative_dim': 52, 'sturm_bound': 180, 'trace_bound': 1, 'trace_display': [0, 0, 0, 0], 'traces': [312, 0, 0, 12, 0, -24, 0, 0, 24, 0, -24, 0, 0, 24, 0, 0, 0, 0, 6, 0, -48, 0, 0, -6, 0, -96, 0, 0, 48, 0, 6, 0, 0, 0, 0, -96, 0, 0, 30, 0, -12, 0, 0, -102, 0, -6, 0, 0, 48, 0, -54, 0, 0, -192, 0, 138, 0, 0, 42, 0, -48, 0, 0, 120, 0, 174, 0, 0, -60, 0, 78, 0, 0, -138, 0, 12, 0, 0, -60, 0, 0, 0, 0, -186, 0, -42, 0, 0, -36, 0, -6, 0, 0, -60, 0, -168, 0, 0, -24, 0, -78, 0, 0, 30, 0, -36, 0, 0, 24, 0, 90, 0, 0, 114, 0, 150, 0, 0, 138, 0, -48, 0, 0, -72, 0, 132, 0, 0, 156, 0, 12, 0, 0, 432, 0, 72, 0, 0, -42, 0, -156, 0, 0, 234, 0, -30, 0, 0, 264, 0, -192, 0, 0, 6, 0, -456, 0, 0, 120, 0, -384, 0, 0, 18, 0, -300, 0, 0, 48, 0, -150, 0, 0, 0, 0, -144, 0, 0, -174, 0, -6, 0, 0, 48, 0, -6, 0, 0, -300, 0, 90, 0, 0, -570, 0, -192, 0, 0, 6, 0, 114, 0, 0, -774, 0, -30, 0, 0, -54, 0, -48, 0, 0, 216, 0, 372, 0, 0, -330, 0, 84, 0, 0, -294, 0, -6, 0, 0, 120, 0, 84, 0, 0, 324, 0, 96, 0, 0, -48, 0, -48, 0, 0, 24, 0, 276, 0, 0, 204, 0, 294, 0, 0, 450, 0, -84, 0, 0, -138, 0, 216, 0, 0, 708, 0, 486, 0, 0, 384, 0, -24, 0, 0, -168, 0, 462, 0, 0, 408, 0, -12, 0, 0, 432, 0, -168, 0, 0, 66, 0, -72, 0, 0, 318, 0, -144, 0, 0, 42, 0, 258, 0, 0, -432, 0, -6, 0, 0, -294, 0, -444, 0, 0, -60, 0, -114, 0, 0, -240, 0, 204, 0, 0, -678, 0, 228, 0, 0, -366, 0, 294, 0, 0, 114, 0, -450, 0, 0, -126, 0, 186, 0, 0, -1236, 0, 276, 0, 0, -132, 0, 54, 0, 0, -174, 0, 192, 0, 0, -342, 0, -54, 0, 0, 456, 0, 6, 0, 0, -348, 0, 60, 0, 0, -66, 0, 228, 0, 0, -84, 0, 12, 0, 0, 414, 0, -150, 0, 0, 324, 0, 234, 0, 0, 288, 0, 144, 0, 0, 234, 0, -144, 0, 0, 1152, 0, -240, 0, 0, 192, 0, -276, 0, 0, 660, 0, -282, 0, 0, 48, 0, 276, 0, 0, 54, 0, -366, 0, 0, 486, 0, -96, 0, 0, -72, 0, 246, 0, 0, 192, 0, -558, 0, 0, -312, 0, -246, 0, 0, -162, 0, -6, 0, 0, -330, 0, 522, 0, 0, -744, 0, -198, 0, 0, -1104, 0, 180, 0, 0, -102, 0, -18, 0, 0, 144, 0, 504, 0, 0, 12, 0, -6, 0, 0, -390, 0, 264, 0, 0, -300, 0, -162, 0, 0, -408, 0, 90, 0, 0, 84, 0, 564, 0, 0, 300, 0, 342, 0, 0, -42, 0, -114, 0, 0, -192, 0, 216, 0, 0, 510, 0, 240, 0, 0, 1056, 0, -408, 0, 0, -276, 0, -72, 0, 0, 798, 0, 156, 0, 0, 624, 0, -24, 0, 0, -360, 0, -174, 0, 0, 810, 0, 234, 0, 0, 330, 0, -828, 0, 0, 6, 0, 480, 0, 0, -84, 0, 468, 0, 0, 804, 0, -354, 0, 0, 192, 0, 174, 0, 0, -348, 0, 408, 0, 0, -648, 0, 102, 0, 0, 114, 0, -66, 0, 0, 534, 0, -1056, 0, 0, -432, 0, -336, 0, 0, 6, 0, 294, 0, 0, -630, 0, 156, 0, 0, -1128, 0, -372, 0, 0, -132, 0, -126, 0, 0, -1122, 0, 264, 0, 0, -588, 0, -6, 0, 0, 192, 0, -276, 0, 0, -150, 0, 96, 0, 0, 1314, 0, 234, 0, 0, 24, 0, -426, 0, 0, 18, 0, -552, 0, 0, 96, 0, 186, 0, 0, -192, 0, -708, 0, 0, 720, 0, -942, 0, 0, 264, 0, -12, 0, 0, -204, 0, -630, 0, 0, 660, 0, -1446, 0, 0, 516, 0, 402, 0, 0, -102, 0, -612, 0, 0, 0, 0, -1008, 0, 0, -300, 0, 672, 0, 0, 210, 0, -786, 0, 0, 234, 0, -618, 0, 0, -570, 0, 102, 0, 0, -336, 0, -1740, 0, 0, -1086, 0, -432, 0, 0, -366, 0, 882, 0, 0, -102, 0, -300, 0, 0, -1422, 0, -402, 0, 0, -966, 0, -120, 0, 0, 384, 0, 24, 0, 0, -336, 0, 594, 0, 0, 84, 0, -6, 0, 0, 408, 0, 450, 0, 0, -30, 0, 426, 0, 0, -282, 0, 432, 0, 0, -60, 0, 888, 0, 0, 726, 0, 210, 0, 0, 162, 0, 840, 0, 0, 414, 0, -60, 0, 0, 810, 0, -240, 0, 0, 384, 0, -24, 0, 0, 708, 0, -42, 0, 0, -186, 0, 486, 0, 0, 2052, 0, 654, 0, 0, -210, 0, 12, 0, 0, 438, 0, 552, 0, 0, -96, 0, 168, 0, 0, 576, 0, 1416, 0, 0, 378, 0, 894, 0, 0, -642, 0, -162, 0, 0, 696, 0, 714, 0, 0, -1032, 0, 864, 0, 0, -1506, 0, -174, 0, 0, -222, 0, 618, 0, 0, -1152, 0, -114, 0, 0, 90, 0, -264, 0, 0, -120, 0, 1224, 0, 0, -618, 0, 1110, 0, 0, -96, 0, -108, 0, 0, -600, 0, 270, 0, 0, 132, 0, 840, 0, 0, -36, 0, -684, 0, 0, 240, 0, 282, 0, 0, 606, 0, 702, 0, 0, 150, 0, -474, 0, 0, -144, 0, -342, 0, 0, 390, 0, -180, 0, 0, 816, 0, -456, 0, 0, -228, 0, 90, 0, 0, 558, 0, -270, 0, 0, 240, 0, -714, 0, 0, 6, 0, -618, 0, 0, 108, 0, -372, 0, 0, -414, 0, -1308, 0, 0, -108, 0, -858, 0, 0, -894, 0, -1242, 0, 0, 156, 0, -222, 0, 0, 324, 0, -408, 0, 0, -594, 0], 'weight': 2, 'weight_parity': 1}