# Trace form for 819.6.a.f, downloaded from the LMFDB on 14 June 2024.
[0, 6, 15, 0, 75, -15, 0, -294, 399, 0, -265, 90, 0, 1014, -735, 0, 355, 1314, 0, -341, -2085, 0, -6749, 4905, 0, -10231, 2535, 0, -3675, 6771, 0, -14711, 10143, 0, 9595, 735, 0, -13314, -1017, 0, -13195, 5040, 0, -9127, -10041, 0, 23739, 4713, 0, 14406, -18018, 0, 12675, 159, 0, -13590, -19551, 0, -38427, -30288, 0, -78126, -40632, 0, -8461, -2535, 0, -33894, 61863, 0, 12985, -8316, 0, -89861, 16635, 0, -169069, -4410, 0, -239803, -19305, 0, -106624, 42753, 0, -184316, -51609, 0, -205923, 11421, 0, -49686, 252519, 0, -4976, 180807, 0, -199445, 36015, 0, -344962, 171816, 0, -458624, 67431, 0, -210578, 489864, 0, -88860, -30495, 0, -17395, -90483, 0, 169661, -426267, 0, -619124, -64386, 0, -194044, -841461, 0, -167972, 245985, 0, -588876, -488865, 0, -44785, 672978, 0, 16709, -230514, 0, 62849, 116220, 0, -845046, 102165, 0, -209096, 15210, 0, 132117, 414459, 0, 139519, -344748, 0, -59518, -1382919, 0, 330701, 529521, 0, 315992, -1324602, 0, 93085, -240345, 0, -55620, -2532672, 0, 800370, -144429, 0, 171366, -913623, 0, -1019465, 244662, 0, 501319, -1983693, 0, 1196502, -476745, 0, -87108, -124215, 0, 2220981, -1534764, 0, 707866, 1506924, 0, 679821, -1143930, 0, -518684, -3851094, 0, 180075, -782112, 0, -615312, -2067660, 0, 1654872, -331779, 0, -472030, -2121237, 0, 59995, 426534, 0, -1219475, -1237278, 0, 310930, -1116831, 0, 720839, -832551, 0, 1666405, 222066, 0, -200653, -497007, 0, -1743702, -1344216, 0, -515636, -207027, 0, -1051829, -1451565, 0, -654395, -3609252, 0, -470155, -1307256, 0, 1980171, -1995816, 0, -2396733, -36015, 0, -57629, -1525932, 0, 1687925, 2505660, 0, -3579666, -3898986, 0, -2578397, -1169976, 0, 652386, -352365, 0, 2170607, 100365, 0, -1317771, 49833, 0, -2385386, -1978134, 0, 386672, 393291, 0, 3269921, -999996, 0, -5241653, -1832196, 0, 646555, -856776, 0, -2524080, -3240264, 0, -1140581, -246960, 0, -2439048, 3039051, 0, 456475, 282219, 0, 275880, -431487, 0, -3171312, 828945, 0, 447223, -2736993, 0, -2500761, 4733004, 0, -3098961, 492009, 0, 3103328, 3020298, 0, -1049196, 458055, 0, -4931790, -240486, 0, 1941148, -2519865, 0, -1163211, -2317932, 0, -1729039, 2020242, 0, -8787564, -230937, 0, 942574, -3836970, 0, 4334287, -1821450, 0, -3430251, 428415, 0, 1162693, 716658, 0, -705894, -6891555, 0, 6193294, -759816, 0, -5468257, 882882, 0, 1013765, 4526520, 0, -2043748, 12262866, 0, 11800108, -432900, 0, -5163215, -2972850, 0, -621075, 996453, 0, 3340926, 10992219, 0, -7869307, -7791, 0, -120320, -3136803, 0, 13011468, 1144299, 0, -2475430, -413151, 0, -12363905, 2446704, 0, 665910, -7340040, 0, -3750226, 3866016, 0, -3612456, 957999, 0, 5841832, 2824989, 0, 6773207, 8444481, 0, 1387954, -8932506, 0, -2486159, 10632240, 0, 1882923, 2144238, 0, -4639493, 489780, 0, -9287697, 1484112, 0, 5231529, 1714167, 0, 9367965, 6964176, 0, -1047882, -9208755, 0, -9463246, -3050262, 0, 3828174, -773358, 0, 2503917, 8305998, 0, -10601974, 1990968, 0, 17736765, -6075111, 0, 1310790, 12162255, 0, 1621555, 3339003, 0, -11932601, 9525654, 0, 414589, -14913756, 0, -4081400, -2041122, 0, -8450394, 124215, 0, 3208894, 4294590, 0, -14585583, 9562062, 0, 396348, -16019727, 0, -929508, -7550244, 0, 1660806, -8478900, 0, -6878556, 13580124, 0, 11054344, -3031287, 0, 9185064, 4493163, 0, -2250066, 16117698, 0, 7617556, -2840199, 0, 3969882, -6880875, 0, -636265, -13150800, 0, -14705378, -171873, 0, -10191732, 407484, 0, 7751800, 5643345, 0, 24212211, 13261494, 0, 11104930, -29586771, 0, -20863074, 388365, 0, 4403189, -13453089, 0, 2968602, -2946396, 0, -13366426, -815115, 0, -2229955, 11106894, 0, -251214, 30419895, 0, 35589812, -18678552, 0, -2747495, 878982, 0, 8284381, 851760, 0, -13216960, 1864746, 0, -31017602, 216090, 0, 15002082, -632118, 0, 18119449, 21784386, 0, 3440603, -414471, 0, 18323012, 5537997, 0, 11750347, -31157394, 0, 7483740, -3052002, 0, -1542463, 945945, 0, 34355650, 32520150, 0, 29295615, -1334784, 0, 853064, -31525065, 0, 4895093, -1696929, 0, 5224576, -7888992, 0, -6367324, 5926038, 0, 17836059, -2094897, 0, 26042362, 21788013, 0, -807578, 5907621, 0, 10094721, 9502800, 0, 16209443, -20792373, 0, 9031484, -15848592, 0, 4011891, 13074405, 0, -13574760, 2528841, 0, -7078929, -1989165, 0, -20513350, 5041713, 0, 16151237, 796497, 0, 31128554, 24524580, 0, 10090227, -14533698, 0, 13210246, 7180452, 0, 6488122, -559629, 0, 8090784, 28731432, 0, -6392873, 51913602, 0, 1681288, -36249498, 0, 7048192, -2517948, 0, 2434614, 45831459, 0, -12980835, -28496511, 0, 11351718, -12373431, 0, -17626075, -15448974, 0, 1859840, -3045042, 0, 22087306, -30252756, 0, -35447346, 10368360, 0, 243824, 10179957, 0, -1768313, 28506126, 0, -66497198, -8859543, 0, -26435749, 76665711, 0, -3128430, -604140, 0, 24913541, 23244567, 0, 2142075, -6298524, 0, 9772805, 20575575, 0, 28646612, 11213496, 0, -263934, -1764735, 0, -52341981, 26871, 0, 21854227, 66447510, 0, -62234312, 2523342, 0, 17567888, 40748922, 0, 16903138, 50875497, 0, -21114708, -7113789, 0, -41863918, -8418984, 0, 2804356, 22478616, 0, 61073466, -17146293, 0, -2296710, 54533352, 0, 10076844, 20238426, 0, 22472576, 2760636, 0, -24372954, -23167890, 0, -47865154, -3304119, 0, 26208109, 4556490, 0, -6117953, 106552992, 0, 36711437, -21637068, 0, -22592558, 4639017, 0, 10318322, -153936, 0, 45929086, 84078204, 0, -45740563, -24003336, 0, 24724149, 64538844, 0, -6494163, -10095846, 0, 10580503, 28747440, 0, 8561995, -65087937, 0, 4354140, -36829737, 0, -31351277, -5118672, 0, 9737529, 1494255, 0, -96093432, 2388018, 0, 20008972, 59997702, 0, -12084246, 36052854, 0, -78632, 15611037, 0, 852355, -24276894, 0, 3387003, 45388080, 0, 4365522, 4433667, 0, -13203294, 59948598, 0, 56019037, 49935300, 0, 27792820, 10194732, 0, -76573238, -60511044, 0, -8313389, -6866808, 0, 74791860, -90069375, 0, -4270058, 20887083, 0, -23045775, -342648, 0, 10285853, 142272705, 0, 8668340, -36443196, 0, -54905092, 38391981, 0, 30337076, 6174732, 0, -1522638, 8491962, 0, -1429909, 3154914, 0, -8819349, 62144457, 0, 7475317, -40346964, 0, 36738169, -56637402, 0, -26637019, -428415, 0, 9508156, -79212318, 0, -12839356, -22243992, 0, 10610677, 41231589, 0, 31615718, 60074976, 0, -53544810, 80367933, 0, 107703002, 53913600, 0, 32132016, -49822740, 0, 8230628, 33933942, 0, -5728086, 38121627, 0, -70180639, -12053265, 0, -8880206, 20468703, 0, 16884105, -106599756, 0, -101599124, 10454847, 0, 50942942, -5480976, 0, 28854924, -45329418, 0, 164222362, -71770947, 0, -67676705, 23954385, 0, -74691235, 46291413, 0, 22174524, 95178948, 0, -38375650, -104269890, 0, 12597317, 4598838, 0, 2194465, 20288835, 0, 43171810, -123522360, 0, 16111614, -32975922, 0, -32968592, -105614325, 0, -49541623, -1405404, 0, 32197630, -68283081, 0, -154972333, -180675825, 0, -818741, 23422656, 0, 19300259, -3831606, 0, 58366322, 11295186, 0, -62177480, 235365, 0, -35519222, -30395700, 0, 172295493, -11005338, 0, -15186509, 24229692, 0, -3079601, -89509767, 0, -29968110, -106755720, 0, -34012379, -5694780, 0, -67924785, 2811315, 0, 51374166, 12850818, 0, -79986376, 25699482, 0, 18951578, -70335570, 0, 41407254, 124333944, 0, -19992305, -193253742, 0, -2416890, -5006085, 0, -39652582, -7897977, 0, 70650378, -87906981, 0, -28572661, -168945669, 0, 23444592, -96138924, 0, 10245704, -55577508, 0, -60321982, -101500980, 0, 54733955, -745290, 0, -38963264, 40467363, 0, 105798, 13358601, 0, 105464472, 4785840, 0, -113006095, -81297438, 0, -6473733, -41392566, 0, 112414221, -90590190, 0, 88103704, -20308491, 0, 49739859, 85373550, 0, -40526707, -74538534, 0, 29849377, -115408851, 0, 4092910, -205224168, 0, -6836431, -104039868, 0, -87367680, -3262545, 0, 18126913, 16892652, 0, -77868158, -157032816, 0, 70452533, -167208366, 0, 12756496, 122456064, 0, -121512724, -24490995, 0, 2916382, 153664416, 0, 97182778, -266923044, 0, 55769022, 67763031, 0, -18019456, 13416402, 0, -58868998, -99265950, 0, 65858062, -226102458, 0, -21877240, -284176482, 0, -16204349, 7225257, 0, 172282679, -133739583, 0, -31364798, -25946529, 0, 19212618, 81201723, 0, 23500343, -36254010, 0, -110332960, -145901304, 0, 111616127, 544923, 0, -15483608, 29538708, 0, 167825975, -11867274, 0, -31149404, 64905498, 0, -66196966, -84649620, 0, -158647692, -115272612, 0, 18756876, -58281909, 0, -40619451, -8721921, 0, -4561165, 2068632, 0, -79716869, 105996186, 0, 219035735, 11776905, 0, -104659656, 126817050, 0, -188102232, -130536042, 0, -55762696, -98433672, 0, -157635118, 23010840, 0, 2725380, 242476476, 0, -34800987, -141029370, 0, -152218204, 124100928, 0, -47280656, -84708441, 0, -44561206, -131191002, 0, -116980070, 1930149, 0, 50774884, 45676425, 0, -39218130, 116499150, 0, 45710557, 139201146, 0, 61069711, 7077021, 0, -87820603, 49275570, 0, -193217102, -26235360, 0, -37569536, 77399280, 0, 56688880, 145052025, 0, -8396934, 208774329, 0, 151255330, 42712773, 0, 32841826, 44767527, 0, -245947580, -39428418, 0, -20451584, 42675711, 0, -179823795, 60888486, 0, -54138548, -10383660, 0, 49953785, 110467785, 0, -114508368, 91596885, 0, -45020790, -11988438, 0, 45366099, -65101281, 0, -13239785, -36974595, 0, -199020317, -41045787, 0, -840944, 197010906, 0, -24564631, 259979193, 0, 38819160, -181902390, 0, 19693436, 97200957, 0, -146986973, 30556383, 0, -132144821, 48241131, 0, 16878380, -206158650, 0, 72817778, 122286450, 0, -58628598, 298288935, 0, -78991690, -35210823, 0, 184264960, 23360505, 0, -95736280, -214372815, 0, 259893761, 208420677, 0, -33706205, 54548427, 0, -66275398, 64239666, 0, 4268292, 41761272, 0, 11497706, -169511934, 0, -49879402, 6086535, 0, 304421739, 121486506, 0, -244251827, 102002055, 0, -219439766, 164858511, 0, -43715586, -32542251, 0, -108828069, -98739300, 0, -6999774, -96466263, 0, 126617340, 75203436, 0, 43676683, 120445080, 0, -58298578, -146792790, 0, -89603932, 190723302, 0, -98075665, 21616080, 0, -34685434, -183046563, 0, 94616196, 29036904, 0, 166685425, -73839276, 0, -157190398, 204975873, 0, 17847917, 232621530, 0, -68932082, -42325170, 0, -246923351, -121151490, 0, -33311229, 69110748, 0, 99809553, -390716409, 0, 384252741, 56052570, 0, -77507456, -257430, 0, -110720879, 14567604, 0, 33535524, -290720085, 0, -174622925, -58325652, 0, 25415516, 11395839, 0, 26714530, 29873664, 0, -48694872, 188703606, 0, -41194151, 30491526, 0, -357930319, 211058676, 0, -63364751, 83718012, 0, 199175704, 13489083, 0, -8823675, -16686018, 0, -34234170, -387591387, 0, -35587682, 38323488, 0, -44707341, 228258024, 0, 310546550, -48374451, 0, -97502699, -267092136, 0, 25998916, 82787016, 0, 30150288, 176215620, 0, 223815966, -51695172, 0, 22460956, 101315340, 0, 460430658, 123964668, 0, -125949730, -219075687, 0, -7463675, -86560512, 0, 41094496, 103964706, 0, -81088728, 110843028, 0, -15017340, -23382378, 0, 212495464, 16257171, 0, -348795002, 84726690, 0, -206493544, -109758216, 0, -9773379, -5153655, 0, 22279336, 9087090, 0, 23129470, 271786044, 0, 464089450, -106218159, 0, 295306668, 103940613, 0, -105407676, -128148879, 0, -162499314, 99995814, 0, 57870440, 112835838, 0, 68772992, -103635249, 0, -2939755, -218123055, 0, -108261728, 42380301, 0, -99213779, -20900166, 0, 1176113, -329190864, 0, 381820984, -15291627, 0, 74695074, -8355669, 0, 52725890, 62542248, 0, 59754275, 343252710, 0, 161005155, -302922684, 0, 140379250, 60626622, 0, 358417002, 133330305, 0, -34026004, 129401568, 0, 302600484, 39750078, 0, 28672709, -316249713, 0, -15235570, 289771797, 0, 118323237, -184012368, 0, 391243116, 54724719, 0, -404716188, -72039123, 0, -16587883, 48348378, 0, 198193164, 316874982, 0, 2238432, 283145664, 0, -35321111, 180810237, 0, -5025920, -247634196, 0, 196268486, 40794999, 0, 169369093, 346153176, 0, -189225570, 630975, 0, -104631956, 145153371, 0, 279011925, 306135321, 0, -81653845, 50855154, 0, -385040196, -675204588, 0, 512227849, -10881234, 0, 87421024, 6669936, 0, -85142498, -111758895, 0, 123051554, 127921626, 0, 234949916, -69558324, 0, 9831997, 546749640, 0, 463852745, -96672558, 0, 142386483, 24353343, 0, -51352087, 364363491, 0, -32793436, 47837079, 0, 48610308, 467030529, 0, -219653052, 37409358, 0, 85441398, 49297983, 0, 20340212, -142206909, 0, 287069338, 65866584, 0, -135049614, 394355607, 0, 33022504, -49952148, 0, -140657866, 287700504, 0, 116463218, -140813832, 0, 25266164, -167188854, 0, 395240109, -247505142, 0, 203030904, 10144323, 0, -28387268, 97722588, 0, -178329032, 449535048, 0, -226951666, 329118336, 0, -187925279, -285406209, 0, 51539621, 41571465, 0, 271494912, -512132583, 0, -12743994, 71126685, 0, -292245436, 361004889, 0, 384070137, 207533562, 0, 297664408, 110542740, 0, -246666088, 48526941, 0, 32065355, 116925720, 0, 256945083, -180961428, 0, -99520044, 176853348, 0, 165854515, 258494466, 0, 201228211, -150218397, 0, -25411122, -130568280, 0, 110441897, -82618185, 0, 23037595, 99411549, 0, -261080973, -57756567, 0, 408427003, 64055544, 0, 102075548, -388758891, 0, -276346128, 37954947, 0, 560127498, 397350870, 0, 142902126, 96160611, 0, -97028379, 381128391, 0, -7568665, -436859901, 0, 265775822, 97794984, 0, -255286062, 177951276, 0, 51266102, -97382364, 0, 285643665, 113733282, 0, 32133066, -435068292, 0, 117439917, -200737596, 0, 278793208, 407866314, 0, 212905374, 1764735, 0, -226182108, -281191656, 0, 468394295, 230404869, 0, 240760078, 447670266, 0, -113622902, 554888784, 0, 2823821, 3417618, 0, -11093084, -140965884, 0, 353265760, 74770668, 0, -6283538, 481654992, 0, -88737240, -38956866, 0, -132314759, -260006511, 0, -89617784, -670019187, 0, -82708325, -247832586, 0, 123672024, -123710226, 0, 107127435, -122777340, 0, -295884985, -94368825, 0, -16628765, 105189126, 0, 190714074, -451595277, 0, 10621481, -170107290, 0, 175403634, 393271218, 0, -6994584, -204256488, 0, -82158706, 191050314, 0, 89625858, 19641180, 0, -91202216, 403661022, 0, -574795964, 662684520, 0, 364451382, -315705720, 0, 126341453, -271049820, 0, -218244636, -468108651, 0, 715927000, 57328824, 0, 65787518, -104042766, 0, 100330684, 227287464, 0, -142812774, -501707922, 0, -312112810, 226501284, 0, -31966914, 287843184, 0, 225121202, -173530689, 0, 619949352, 17265885, 0, -332562779, 209039226, 0, -54893322, 358383198, 0, -428427160, 41157144, 0, -39712712, -185297250, 0, -106359743, 38862342, 0, -100877500, -252791466, 0, -217432259, -4917885, 0, -589408243, 139320489, 0, -35337224, 74219832, 0, 212655817, 41005680, 0, -632125057, -324282018, 0, 64570779, -281479839, 0, -331714280, 2570490, 0, -23161097, -2441817, 0, -228463868, 81624642, 0, -362376890, -68107629, 0, 9803367, 482278539, 0, 188251719, 516992694, 0, 116883914, 342516882, 0, 407489604, -388618680, 0, -406202286, 96928566, 0, 22327773, -374972172, 0, -216957148, 436908834, 0, 309673726, 571934325, 0, -458734641, -244735626, 0, -18946928, 70043571, 0, 165271388, -805953885, 0, -314121164, -19271259, 0, 185642348, 464071482, 0, -412129189, 30111345, 0, -672014232, -141626046, 0, 184353840, -98273667, 0, -160226129, -75379098, 0, -795567856, 172464627, 0, 23578711, 48999804, 0, -35602902, 540320094, 0, 143791964, 340215291, 0, 66917035, 257691165, 0, -42484392, -58262412, 0, 256840997, 237436062, 0, -497657016, -113019726, 0, 61834670, 89777604, 0, 165748848, 477824034, 0, 92532102, 288847101, 0, -95139057, 20907780, 0, -424109032, -222414078, 0, -31681195, -19281048, 0, -10058542, -380415942, 0, -170477139, 41982024, 0, 138774006, 64969344, 0, -502591237, 513464178, 0, 590100852, -233713311, 0, -1282711295, 198119238, 0, 123679920, 794460426, 0, -429364212, -317679975, 0, 406632235, 158772936, 0, -92357629, -52972668, 0, -76906180, 100765230, 0, -422890732, 182058450, 0, -814061835, 280330365, 0, 55888469, -589724205, 0, 146099516, -170618400, 0, 23732601, 12101040, 0, 501021359, 685427622, 0, 488210134, 89489049, 0, 334361584, -519191274, 0, -654199320, -1054226931, 0, 119513352, -618364797, 0, -221053804, -266917224, 0, -94741728, -148913499, 0, 156882358, -209500584, 0, 7573126, 715592529, 0, -882136857, -10741974, 0, 53402648, -432746358, 0, -22367275, -70693107, 0, -19187983, 92554335, 0, 600474980, -13828731, 0, -158855187, -223857738, 0, -1083188582, 216846018, 0, 1467568892, 99446373, 0, -1310344736, 68051280, 0, -13518120, -455457030, 0, -969721408, -719472876, 0, 64469314, 21142863, 0, -570927503, 423050652, 0, -249847718, 921335625, 0, 15731365, -1178864556, 0, 369383431, 309825573, 0, 155394288, 96512676, 0, -326946478, -335964249, 0, -700561168, -40618305, 0, -212591948, -364544997, 0, -582729606, -469215525, 0, -214535484, -882273582, 0, 215540840, -364287456, 0, -21913927, -336601740, 0, 151723735, -288515958, 0, 306208005, 134112657, 0, 712943080, 960313083, 0, -9399780, 608603670, 0, -669847936, 633393336, 0, 554844424, -618454440, 0, 122537289, -332876019, 0, 514374036, -428021568, 0, -446724626, -231917196, 0, -348159274, 405391917, 0, -391405070, -327138768, 0, 263541906, 62692218, 0, -1294072145, 499180875, 0, 151849089, -35990100, 0, -1142626194, -479685132, 0, -444508114, -24108441, 0, 135262530, 3337572, 0, -450625590, 1544383116, 0, -33724435, -17949528, 0, -325097692, -570059754, 0, -152063072, -24408501, 0, 163980054, -777802659, 0, -13987207, -147994602, 0, 725194392, -420608133, 0, -1073849888, -150797664, 0, 677462345, -1251548754, 0, -514080036, -417964662, 0, 51410604, 1007922957, 0, 107182402, -152173518, 0, 28960854, -22444695, 0, 502713140, 466342236, 0, 1123067801, 1167831327, 0, 594072224, 153418026, 0, 159294111, -154402287, 0, 241657710, -187322568, 0, 377492011, -253361550, 0, -1232431400, 11783814, 0, 551436608, -1023012984, 0, -1002735124, -595014126, 0, 1145661364, -164323860, 0, -450748462, 343003983, 0, -95116252, 377196492, 0, -172289585, -1145997393, 0, -200845570, 123473385, 0, 533947032, 855983649, 0, -17462110, -678109257, 0, 730646762, 41347878, 0, 278404662, -538396641, 0, 56997339, -645572520, 0, -382212384, -409314102, 0, 32901150, 113578668, 0, 782533993, -1454136864, 0, 400012549, 106093695, 0, 196060406, 170486142, 0, -1918401208, 193242852, 0, 84722911, -793008714, 0, 376061842, 1111749861, 0, -33694732, -98991858, 0, 1695563208, 302667300, 0, 214815314, -335244117, 0, -338810250, -975481371, 0, 639416018, -1346472852, 0, 430590636, -403456440, 0, -296783455, -756844944, 0, 102488699, 11315913, 0, 393265540, -1098906204, 0, -564333450, 515208786, 0, 326638536, -1046112528, 0, 202208838, -711656052, 0, -46186126, 351685737, 0, 319598167, -661069368, 0, 1404071570, 188011530, 0, 108165475, -80569905, 0, -302268368, 283987656, 0, 844253986, -296373114, 0, -2761232, -1935314907, 0, -212380063, -1192946328, 0, -364466586, -197761416, 0, 100316562, 89251050, 0, -1892488, -226379826, 0, 97726900, 951998655, 0, -14721252, -1231317774, 0, 841024404, 363975000, 0, 168082299, 131501040, 0, 524094859, -16273236, 0, -172736836, -20992335, 0, 1116962675, 317965644, 0, -343821111, 283057566, 0, -505008554, -494830863, 0, 544996288, -957890628, 0, -56971957, -537155106, 0, 411985006, -974928552, 0, -405257441, -35116242, 0, -841421772, -54617952, 0, 375345789, -567215688, 0, 816595803, -1128699831, 0, -1646331245, 443506929, 0, 34588806, -802985268, 0, 2949972, -259375116, 0, -161620655, 337686195, 0, 254325810, 821504925, 0, -110902532, -562195896, 0, 393876915, -202343184, 0, 1003345024, -52918170, 0, -303471406, 132555510, 0, -388996506, 118289874, 0, -976845733, 37230984, 0, 119629354, -285859791, 0, -1130684802, 605660970, 0, 433405528, -1600863594, 0, -415036705, -393347880, 0, 267944593, 254670156, 0, 1066779008, 388940493, 0, 315245789, -43261218, 0, 453784485, 705925410, 0, 413792528, -44122224, 0, -829671056, -175863636, 0, 868899512, -113747229, 0, -49674485, 258227394, 0, -523343150, 617062707, 0, 114889749, -221799480, 0, 311021817, 201216690, 0, 1668666859, 983104521, 0, 664078744, 181719636, 0, -630288795, -193324170, 0, 100143652, 174138630, 0, 771499158, -687147798, 0, -1013609931, -600880434, 0, 2114719471, 306779748, 0, 307778000, -249040002, 0, 1147168093, -106664124, 0, -1435049016, 1748413692, 0, -578205292, 863966754, 0, -87657596, -451122975, 0, -1459199981, 21212100, 0, 177409630, 104248185, 0, 2179893584, 952741008, 0, 150345831, -650834886, 0, -1735070957, -126406530, 0, 252997535, 944265078, 0, 612430983, 531475188, 0, -534912200, 145669650, 0, 286406044, 383799432, 0, 304282318, 128569554, 0, -602406120, 303237288, 0, -313047269, -183671622, 0, 30432675, -710088237, 0, -1548848448, 1230858393, 0, 108629402, -48826197, 0, -501884091, 608750532, 0, 927893245, -132176928, 0, 666319090, -1095310818, 0, 693323488, 3197448, 0, -163705374, -312937098, 0, 468564613, 179988213, 0, 515587600, -538618731, 0, 1180073115, 240788688, 0, -246044945, 2058065604, 0, -539489781, 560663670, 0, -103987728, -1439464980, 0, 385596043, 797280762, 0, -857187044, 1190573109, 0, 976726552, 381759, 0, -54379967, -349434540, 0, -1749795564, -337904358, 0, -85806264, -94022850, 0, 737121730, 134807802, 0, 5895680, -135975837, 0, -791039162, 1122930390, 0, -97352112, 153703347, 0, 407512733, 884509527, 0, -1195894330, 1796680872, 0, 279673368, -1639267296, 0, -483960384, 311086200, 0, -637561932, 218162058, 0, 812508544, -271969530, 0, -479462317, -56070651, 0, 302845238, -1870444623, 0, 317435142, -437377596, 0, -109774542, -456269598, 0, 480431100, -1570732086, 0, 121296070, -675303582, 0, 692056514, 585070350, 0, -1334428193, 20244399, 0, -120997319, 1331269905, 0, -79773070, 1404180096, 0, -2804694721, 848443380, 0, -443627922, 308165355, 0, 605831345, -294537096, 0, -752723736, -358489053, 0, -72427970, -119888496, 0, 353536148, 1196092197, 0, -339885546, 242564472, 0, 454152780, 394877562, 0, -1632278361, -57538455, 0, -32629590, -1336993923, 0, 1036781400, 2794191180, 0, -1911891466, 359661960, 0, 10139155, -42913296, 0, 400686732, 695256666, 0, -345905098, 974270328, 0, -802312173, -1088267064, 0, 183761074, 72084246, 0, -1139421464, -1023744273, 0, -573850365, -189434784, 0, -117607018, -3440914884, 0, 1639693324, 902060736, 0, 1472447675, -855747435, 0, 965284496, 876275559, 0, 177010344, 2287899186, 0, -686246773, 81757626, 0, -206091275, -46941951, 0, -78997152, 1446455700, 0, 1000232713, -129122865, 0, -312665293, 1003147467, 0, -70740503, -209099982, 0, -286249768, -289151793, 0, -180132720, 1176647388, 0, -1550146356, -138424461, 0, 32340484, 893066406, 0, 119040302, -303815412, 0, -149527816, -131406255, 0, -1627467096, 381597153, 0, -331887143, 912745044, 0, 52547170, 283685451, 0, -401703000, -413779569, 0, -354294708, 1746601191, 0, -101580100, 861478494, 0, 332880370, -188744439, 0, -590534442, -499387764, 0, -68009746, -67613004, 0, 947469429, 1361219406, 0, -76798719, 437692794, 0, -1095326537, -422344530, 0, -857941691, 644954961, 0, 56114930, 1569486051, 0, -1824230951, 690039933, 0, 121821791, -284627298, 0, 980233482, 16369794, 0, 1163791600, -520979760, 0, 528539344, 1695235218, 0, -130121598, -140701119, 0, -143881354, -786867819, 0, -389552234, 602775480, 0, -92263227, 844227681, 0, 89422865, -1518469452, 0, -740328710, -105067662, 0, -680828820, -2251354092, 0, -974219435, 713004321, 0, -811612297, 489447018, 0, 281622445, -1187035554, 0, 227335157, 289657416, 0, -1637157649, 749420154, 0, -744340802, -23999220, 0, 1331475156, 37529154, 0, 4843851, 1324953426, 0, 2017036744, 1740154080, 0, -258170198, -1383662247, 0, 455097153, -84990606, 0, 982887892, -190915158, 0, -486031312, -72721488, 0, -1452529434, 422453955, 0, 799046662, -182771124, 0, -33910357, 895588920, 0, 467591085, 1312777932, 0, -256344921, -745167030, 0, -323009285, 882789375, 0, 203006440, -83994183, 0, -2128230732, -257504766, 0, -267117268, 16162314, 0, -528925265, -20511156, 0, 1523789144, -2329011051, 0, -459030285, 807024240, 0, -1045488614, -428963706, 0, -209453956, -341244624, 0, -732763723, 1397729304, 0, -294685638, -962161116, 0, -807883800, 1390495365, 0, -862736787, -207298023, 0, 51346218, -622405590, 0, 1597211084, -227172504, 0, -1064608184, 451228995, 0, 675054470, 1064218503, 0, 266479448, -356881539, 0, -269837864, -435009633, 0, 403138973, -1132536702, 0, 463699054, -456325134, 0, -601847659, 1777548882, 0, -2624391229, 149462838, 0, -87142484, -939466575, 0, -4199328, 450369492, 0, 731255466, 233545296, 0, 306851824, 187015374, 0, -187580526, -34987563, 0, -1151482503, -1258202766, 0, 1103122305, 37894542, 0, 225769658, 1862154438, 0]