# Stored data for newspace 2009.2.o, downloaded from the LMFDB on 25 April 2024.
{"label": "2009.2.o", "level": 2009, "weight": 2, "char_conductor": 41, "char_degree": 4, "char_parity": 1, "sturm_bound": 392, "dim": 552, "eis_dim": 64, "eis_new_dim": 40, "cusp_dim": 752, "mf_dim": 816, "char_order": 10, "char_orbit_label": "o", "char_is_real": false, "Nk2": 8036, "analytic_conductor": 16.04194576607523, "level_radical": 287, "mf_new_dim": 592, "char_values": [2009, 10, [493, 785], [10, 1]], "trace_display": [3, 0, 1, 0], "traces": [552, 3, 0, -129, 1, -10, 0, -4, -494, -30, 10, -10, 5, 0, -50, -129, 10, -46, -10, 21, 0, -45, -9, -70, -83, 20, 0, 0, -5, 90, -8, -20, 45, -50, 0, 53, 60, 0, -4, 72, 23, 0, -29, 0, 31, 34, 20, -20, 0, -10, 71, -80, -20, 35, 0, 0, -12, 50, -3, 0, 35, 20, 0, -168, -80, 27, -70, 0, 0, 0, -40, 90, -76, 54, -65, 165, 0, -216, 0, 10, 308, 89, 116, 0, 0, -59, 4, -50, -35, 164, 0, 125, 60, -30, -95, 0, 70, 0, -35, 78, -80, 77, -48, -20, 0, 105, 147, 60, 0, -210, -40, 0, 94, -112, -43, 75, 0, 85, 0, 0, 6, 2, 13, 56, -8, 0, -56, 45, 150, -120, 51, -148, 0, -185, 260, 55, 0, -135, 94, 0, 21, -120, 113, 59, 25, 93, 0, -156, -165, 0, 20, -15, -40, 0, 148, 97, 35, 190, -163, -235, 0, 254, 6, -299, 36, -12, 0, 0, 151, 165, 25, -64, -208, -221, 0, -110, 20, 0, 260, -309, -60, 0, 110, -45, -24, 0, -21, 205, 0, -115, 0, 165, 30, 55, -75, 0, 104, 275, -125, -39, 41, 0, 0, -18, -15, -350, -171, 0, 107, 0, -205, -255, -85, 216, -44, -95, 0, 15, 0, 170, 282, 225, -150, 0, -63, -3, 20, -58, -25, -291, 0, 0, 40, 395, 135, -182, -146, 0, 55, -395, 146, 132, 0, 159, 0, 261, -262, -110, 0, -11, -55, 0, -145, -125, 90, 125, -165, -480, 0, 0, 460, 94, -120, 1, 135, 0, 79, -185, 81, -285, -105, 0, 0, -90, 40, 265, -2, 42, 34, 0, 100, 287, 180, 0, 264, 106, 0, 340, 26, 0, -41, 116, -125, 0, -6, 82, -296, 120, 10, 30, 0, -335, 46, -125, 49, 515, 77, 0, -525, 64, -105, -83, 410, 0, 0, -350, 355, -12, -14, -55, -260, 0, -87, 532, 0, -117, -4, -156, 0, 55, 0, 121, -345, 345, 55, 0, -206, 11, -235, -190, 90, 0, 0, 147, -345, -31, -245, 303, 153, 0, 12, -655, 87, -630, 0, 105, 0, -250, 136, -480, -54, -275, 295, 0, -92, 0, 88, -90, 31, 378, 0, 0, -55, -83, -135, 175, 202, 0, 55, 145, 95, 5, 0, -75, 0, 520, 140, -235, -284, -277, 130, 0, -355, 162, -70, 0, 40, -100, 0, -629, -158, 176, 250, -40, 6, 0, 0, 106, 70, -22, 170, 26, 0, 267, -71, 455, -35, 176, -184, 0, 75, -180, 180, 0, -80, -45, 0, 242, -35, 295, 116, -75, -101, 0, -419, -25, 0, 470, 0, -305, 0, -154, -66, 285, 395, -181, -458, 0, 7, 16, -85, 436, 136, 0, 0, 651, 20, -5, -252, -594, 78, 0, -115, -320, 0, 275, -349, 350, 0, 315, -92, 35, -625, -176, 255, 0, -60, 0, 150, 85, -445, 200, 0, 454, 625, -380, 104, -378, 0, 0, -88, -17, -282, -296, 0, 20, 0, 185, 370, -235, 326, -65, 205, 0, -120, 0, 255, -61, 75, 84, 0, -634, -500, -75, -52, 100, 43, 0, 0, 335, -125, -415, -35, -6, 0, -370, 280, 237, -37, 0, 266, 0, 346, -344, 110, 0, 144, 173, 0, 565, -301, 304, 258, -345, -175, 0, 0, 295, 42, 430, 95, 90, 0, -264, -215, 432, 180, -616, 20, 0, 375, 535, 30, 58, 100, 212, 0, -565, -143, 605, 0, 773, -340, 0, 380, -274, 0, 4, 316, -140, 0, 221, 288, -492, 230, -65, -285, 0, -80, 281, -260, -59, 415, 61, 0, 75, 284, -240, 284, 1555, 0, 0, -210, 395, 22, 392, -117, -300, 0, -68, 215, 0, -328, 412, -29, 0, 79, 0, 164, -468, 275, -105, 0, -814, -433, -465, -130, -185, 0, 0, -274, -415, -253, -550, 387, 65, 0, -382, -210, 334, -555, 0, -70, 0, -440, 277, -564, -761, -385, 245, 0, -801, 0, -486, 590, 179, 692, 0, 0, -375, -189, -275, 245, 117, 0, -26, 40, 580, 60, 0, 55, 0, 70, -53, -380, -488, -98, 475, 0, 405, 142, -80, 0, -5, -55, 0, -299, 24, -95, 1080, 160, -201, 0, 0, -144, -16, -680, 510, 39, 0, 43, -382, 80, 585, 482, -316, 0, 370, -90, -435, 0, -485, -94, 0, -135, 50, 55, 707, 75, -222, 0, -568, -40, 0, -375, -320, -120, 0, 772, -600, 40, -25, -68, 36, 0, 334, 64, -726, -326, -351, 0, 0, 489, 380, 245, -703, -384, -152, 0, -575, -145, 0, -235, -317, 395, 0, 800, 64, -32, 330, -23, -30, 0, 150, 0, 70, 200, -975, -250, 0, 143, 510, -330, 243, -300, 0, 0, 718, -352, -1538, 37, 0, -279, 0, -225, 480, -150, 1564, -374, -445, 0, -80, 0, 560, 305, 445, -134, 0, 111, 12, 180, 164, 220, -415, 0, 0, 445, 785, -375, -485, -20, 0, -395, -875, 257, 1215, 0, -227, 0, 441, -520, -274, 0, -80, 190, 0, -320, 132, 408, 305, -240, -160, 0, 0, -220, -229, -550, -224, -25, 0, 313, 205, 392, -205, -684, 370, 0, 355, 90, 660, 718, 146, 55, 0, 425, -45, 306, 0, 277, 164, 0, 1120, 137, 0, 39, 534, 120, 0, 228, 436, -111, 1025, -425, 30, 0, -1340, -116, 220, 107, 1015, -109, 0, 700, 174, -620, 98, 590, 0, 0, 105, 35, 133, -264, 401, -180, 0, -342, -179, 0, -1523, 316, 732, 0, 444, 0, 279, -132, 220, 180, 0, -78, 184, 135, 50, 145, 0, 0, -234, -45, -148, -90, 514, 98, 0, -33, 235, 594, -1300, 0, -470, 0, -745, 52, 166, -100, -1455, -310, 0, -437, 0, -31, -154, 90, 704, 0, 0, 321, -285, -145, -10, -42, 0, -79, 410, 240, -590, 0, -495, 0, 695, -32, 90, -725, -388, -20, 0, 935, 434, -165, 0, -570, -195, 0, -87, 490, -130, 380, -230, -37, 0, 0, 170, 216, -211, 504, 29, 0, -497, -772, 800, -285, 1146, -522, 0, -525, 455, 65, 0, -820, -270, 0, -92, -110, 328, 823, -185, -368, 0, -698, -545, 0, 1135, -135, -485, 0, 1094, -879, 100, -700, -709, -414, 0, -236, 12, -490, -874, -119, 0, 0, -172, 80, 60, 16, -1480, 372, 0, 35, -700, 0, -380, -674, 505, 0, 705, 157, 394, 60, -170, -120, 0, 340, 0, 285, 330, -135, -130, 0, -7, 970, -335, -192, -1143, 0, 0, -694, -1644, -406, -753, 0, -49, 0, 1015, -525, -823, 638, -407, 40, 0, -395, 0, 140, 26, 505, 389, 0, 144, -260, -315, -419, 565, 23, 0, 0, 525, 550, 1120, -573, 1008, 0, -390, -790, -147, 717, 0, 50, 0, 218, -910, -28, 0, 32, -38, 0, 95, -639, 848, 327, -650, 405, 0, 0, 1200, 225, 680, 104, 15, 0, 149, 205, -46, 1255, -1266, 260, 0, -140, -1030, 280, -513, -96, 198, 0, 295, 798, 827, 0, 1092, 184, 0, 112, -276, 0, -342, 222, -540, 0, -337, -84, -72, 145, -680, 195, 0, -25, 482, -115, 30, 735, 16, 0, 175, -60, -440, 1302, 1350, 0, 0, -690, 1180, 64, 512, 241, 80, 0, 126, 887, 0, -293, 1134, 172, 0, 149, 0, 134, -387, 120, 230, 0, -1004, 192, -135, 515, 495, 0, 0, -276, 280, 66, 220, 628, -438, 0, 143, -215, 216, -1445, 0, 25, 0, 185, -546, -676, -964, -385, 55, 0, -581, 0, -421, -1216, 505, 318, 0, 0, -156, 53, 915, 45, 454, 0, 134, -1475, 5, 20, 0, 95, 0, -380, -840, -405, -839, -308, 165, 0, 1260, 0, -395, 0, -40, -100, 0, -182, -1142, -510, 1725, -35, -187, 0, 0, -559, -902, -272, 1996, -76, 0, 166, -284, 30, -925, 283, 640, 0, 265, 75, 35, 0, 155, -26, 0, 137, -270, -252, -354, -60, 107, 0, -677, -360, 0, 130, -670, -125, 0, 374, 745, 485, 295, -290, 323, 0, 620, -428, -46, -572, 168, 0, 0, -26, -645, -145, -1502, -784, 105, 0, -295, 965, 0, 675, -658, -205, 0, 380, 323, -280, 525, 159, -45, 0, 645, 0, 555, 200, -895, -381, 0, 291, -340, -440, 151, -361, 0, 0, 2040, 105, -892, 383, 0, -178, 0, -855, 225, -172, 1212, -323, 340, 0, 230, 0, 185, 140, 570, -175, 0, 320, 560, -425, 570, 240, -370, 0, 0, 235, -135, 415, -534, -42, 0, 65, -130, 467, 352, 0, 341, 0, 369, -116, 221, 0, 25, 108, 0, 335, -18, -8, -152, -570, -575, 0, 0, 10, 589, -75, -12, 320, 0, -130, -50, -224, -1495, -1099, 440, 0, -745, 320, 60, -25, -364, -72, 0, 1015, 503, 423, 0, 756, 216, 0, 1716, 253, 0, -124, 1322, 155, 0, 316, 1252, -307, 480, -170, -385, 0, -1280, -226, -780, 135, 1045, 36, 0, -440, 540, -715, 154, 1575, 0, 0, -800, -340, -17, -992, 355, -245, 0, -303, 648, 0, -978, 498, 550, 0, -1242, 0, 398, 184, 850, 270, 0, 154, 517, -35, 600, 175, 0, 0, -506, -305, 486, -750, 1041, -88, 0, -319, 225, 91, -650, 0, -160, 0, -705, 108, 282, 100, -1560, -495, 0, -560, 0, -121, -92, 416, -918, 0, 0, 476, -601, -1745, 505, -12, 0, -815, 1430, 300, -635, 0, -1050, 0, 790, 225, -1180, -404, -130, -135, 0, -85, 534, -210, 0, -15, 45, 0, 1168, 420, 530, 565, 500, -461, 0, 0, -1172, 278, 242, 1134, 194, 0, -549, 93, 165, 265, 1106, -398, 0, 70, -225, 275, 0, -750, -669, 0, 366, -630, -298, -261, 415, -282, 0, 248, -540, 0, 525, -555, -375, 0, 224, 194, 235, -285, -462, -690, 0, -381, 214, -143, -1754, 293, 0, 0, 312, 315, -155, 317, -2748, 403, 0, -965, -1100, 0, -775, -906, -100, 0, -545, -335, -43, -120, -191, 725, 0, 290, 0, -65, 1105, -775, 63, 0, -1435, 300, -585, 417, -1234, 0, 0, -6, 356, -90, 940, 0, -88, 0, -585, -1225, -710, 318, -573, 220, 0, 1160, 0, 165, 173, 685, 357, 0, 148, 484, 90, -598, 665, 403, 0, 0, -1835, 70, 985, -146, 396, 0, -30, 215, 305, 12, 0, 494, 0, 355, -1764, 169, 0, 157, 1066, 0, 25, -756, 1256, -40, -1055, 615, 0, 0, -120, 130, -1520, -38, 580, 0, 14, -220, 392, 660, -946, 155, 0, -675, 1595, 240, 775, -186, -60, 0, -325, -73, 767, 0, 1652, -426, 0, 976, 427, 0, -313, 1099, -100, 0, 1642, 1840, 76, 840, -305, 680, 0, 700, 346, -10, -407, 795, -98, 0, 70, 465, -340, 696, 2395, 0, 0, 300, -275, 1, 1424, 76, 360, 0, -1092, 759, 0, 635, -310, 253, 0, 644, 0, -60, -628, 255, -720, 0, -1126, -668, -5, 1490, 30, 0, 0, -425, 240, -344, 195, 492, -382, 0, -538, 30, 761, 490, 0, 45, 0, 530, -276, 24, 515, -1190, 1010, 0, -1252, 0, -201, 1370, 230, 764, 0, 0, 892, -537, 225, 160, -565, 0, -522, -1410, -175, 785, 0, 460, 0, 1675, -145, 105, -1367, 151, -335, 0, -740, 788, -990, 0, -1075, -380, 0, -361, -518, -146, 835, 340, -546, 0, 0, -552, 90, -604, 1898, -306, 0, 111, 780, 15, -900, 455, 176, 0, 125, 660, 0, 0, -1370, 401, 0, 313, -2130, 74, 111, 75, -82, 0, 109, 50, 0, 550, -330, -55, 0, -1066, -1388, 515, -2640, -365, 608, 0, 1360, 1678, -372, -734, -26, 0, 0, -16, 1510, 580, -575, -1664, 382, 0, -125, -430, 0, -700, -1173, 60, 0, 885, -1080, 582, -890, 136, -490, 0, 3330, 0, -70, 300, -900, -226, 0, -981, -2040, -115, 784, -1133, 0, 0, -288, 495, -1168, -1202, 0, -82, 0, 125, 820, -28, -490, -277, -775, 0, -340, 0, 235, 850, 1975, -542, 0, 1419, 1181, 260, 1121, 85, -374, 0, 0, 275, 875, 1100, -927, -446, 0, -1440, 205, 132, 19, 0, 44, 0, -2678, -310, -44, 0, 475, -493, 0, -975, 577, 982, -601, -940, -320, 0, 0, -1035, 462, -825, -162, 365, 0, -848, 115, -129, -1295, -972, 145, 0, -1315, 475, 1070, 37, 16], "level_primes": [7, 41], "relative_dim": 138, "hecke_orbit_code": 962106230745, "weight_parity": 1, "level_is_squarefree": false, "level_is_square": false, "level_is_prime": false, "level_is_prime_power": false, "char_orbit_index": 15, "prim_orbit_index": 6, "conrey_index": 148, "newforms": [], "oldspaces": [[41, 6, 4, 3], [287, 14, 64, 2]]}