Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,5,Mod(3,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 5, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.3");
S:= CuspForms(chi, 5);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 5 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.h (of order \(42\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.44490841261\) |
Analytic rank: | \(0\) |
Dimension: | \(168\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 18.10 | ||
Character | \(\chi\) | \(=\) | 43.18 |
Dual form | 43.5.h.a.12.10 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{29}{42}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.65115 | − | 3.42866i | 0.412788 | − | 0.857164i | −0.586110 | − | 0.810232i | \(-0.699341\pi\) |
0.998898 | − | 0.0469323i | \(-0.0149445\pi\) | |||||||
\(3\) | −2.58658 | + | 3.79382i | −0.287398 | + | 0.421536i | −0.942603 | − | 0.333916i | \(-0.891630\pi\) |
0.655205 | + | 0.755451i | \(0.272582\pi\) | |||||||
\(4\) | 0.946460 | + | 1.18682i | 0.0591538 | + | 0.0741765i | ||||
\(5\) | 30.9309 | + | 33.3355i | 1.23723 | + | 1.33342i | 0.923349 | + | 0.383961i | \(0.125440\pi\) |
0.313885 | + | 0.949461i | \(0.398369\pi\) | |||||||
\(6\) | 8.73686 | + | 15.1327i | 0.242691 | + | 0.420352i | ||||
\(7\) | −43.6643 | − | 25.2096i | −0.891108 | − | 0.514481i | −0.0168030 | − | 0.999859i | \(-0.505349\pi\) |
−0.874305 | + | 0.485378i | \(0.838682\pi\) | |||||||
\(8\) | 64.9937 | − | 14.8344i | 1.01553 | − | 0.231787i | ||||
\(9\) | 21.8900 | + | 55.7747i | 0.270246 | + | 0.688577i | ||||
\(10\) | 165.368 | − | 51.0092i | 1.65368 | − | 0.510092i | ||||
\(11\) | 81.5151 | − | 102.217i | 0.673679 | − | 0.844766i | −0.321076 | − | 0.947053i | \(-0.604045\pi\) |
0.994755 | + | 0.102287i | \(0.0326160\pi\) | |||||||
\(12\) | −6.95069 | + | 0.520882i | −0.0482687 | + | 0.00361724i | ||||
\(13\) | −124.580 | − | 38.4277i | −0.737157 | − | 0.227383i | −0.0966323 | − | 0.995320i | \(-0.530807\pi\) |
−0.640525 | + | 0.767937i | \(0.721283\pi\) | |||||||
\(14\) | −158.531 | + | 108.085i | −0.808834 | + | 0.551454i | ||||
\(15\) | −206.474 | + | 31.1210i | −0.917664 | + | 0.138316i | ||||
\(16\) | 51.0480 | − | 223.656i | 0.199406 | − | 0.873656i | ||||
\(17\) | 213.946 | + | 198.513i | 0.740297 | + | 0.686895i | 0.957242 | − | 0.289288i | \(-0.0934187\pi\) |
−0.216945 | + | 0.976184i | \(0.569609\pi\) | |||||||
\(18\) | 227.376 | + | 17.0395i | 0.701778 | + | 0.0525910i | ||||
\(19\) | −307.687 | − | 120.758i | −0.852319 | − | 0.334511i | −0.101353 | − | 0.994851i | \(-0.532317\pi\) |
−0.750967 | + | 0.660340i | \(0.770412\pi\) | |||||||
\(20\) | −10.2886 | + | 68.2603i | −0.0257214 | + | 0.170651i | ||||
\(21\) | 208.582 | − | 100.448i | 0.472975 | − | 0.227773i | ||||
\(22\) | −215.872 | − | 448.263i | −0.446017 | − | 0.926163i | ||||
\(23\) | 179.291 | + | 27.0238i | 0.338925 | + | 0.0510847i | 0.316300 | − | 0.948659i | \(-0.397559\pi\) |
0.0226252 | + | 0.999744i | \(0.492798\pi\) | |||||||
\(24\) | −111.833 | + | 284.945i | −0.194154 | + | 0.494696i | ||||
\(25\) | −107.834 | + | 1438.94i | −0.172534 | + | 2.30231i | ||||
\(26\) | −337.456 | + | 363.691i | −0.499195 | + | 0.538004i | ||||
\(27\) | −630.820 | − | 143.981i | −0.865323 | − | 0.197504i | ||||
\(28\) | −11.4072 | − | 75.6817i | −0.0145500 | − | 0.0965327i | ||||
\(29\) | −671.387 | − | 984.744i | −0.798320 | − | 1.17092i | −0.982175 | − | 0.187967i | \(-0.939810\pi\) |
0.183855 | − | 0.982953i | \(-0.441142\pi\) | |||||||
\(30\) | −234.218 | + | 759.315i | −0.260242 | + | 0.843683i | ||||
\(31\) | −92.4166 | − | 1233.21i | −0.0961672 | − | 1.28326i | −0.811448 | − | 0.584425i | \(-0.801320\pi\) |
0.715281 | − | 0.698837i | \(-0.246299\pi\) | |||||||
\(32\) | 151.384 | + | 120.724i | 0.147835 | + | 0.117895i | ||||
\(33\) | 176.946 | + | 573.646i | 0.162485 | + | 0.526764i | ||||
\(34\) | 1033.89 | − | 405.772i | 0.894368 | − | 0.351014i | ||||
\(35\) | −510.199 | − | 2235.33i | −0.416489 | − | 1.82476i | ||||
\(36\) | −45.4768 | + | 78.7681i | −0.0350901 | + | 0.0607778i | ||||
\(37\) | 567.733 | − | 327.781i | 0.414706 | − | 0.239431i | −0.278104 | − | 0.960551i | \(-0.589706\pi\) |
0.692810 | + | 0.721120i | \(0.256373\pi\) | |||||||
\(38\) | −922.078 | + | 855.563i | −0.638558 | + | 0.592495i | ||||
\(39\) | 468.023 | − | 373.236i | 0.307708 | − | 0.245389i | ||||
\(40\) | 2504.82 | + | 1707.76i | 1.56552 | + | 1.06735i | ||||
\(41\) | −2226.96 | − | 1072.45i | −1.32478 | − | 0.637982i | −0.368283 | − | 0.929714i | \(-0.620054\pi\) |
−0.956500 | + | 0.291732i | \(0.905769\pi\) | |||||||
\(42\) | − | 881.010i | − | 0.499439i | ||||||
\(43\) | 1841.10 | + | 170.758i | 0.995726 | + | 0.0923516i | ||||
\(44\) | 198.464 | 0.102512 | ||||||||
\(45\) | −1182.21 | + | 2454.87i | −0.583805 | + | 1.21228i | ||||
\(46\) | 388.693 | − | 570.108i | 0.183692 | − | 0.269427i | ||||
\(47\) | −318.124 | − | 398.915i | −0.144013 | − | 0.180586i | 0.704594 | − | 0.709611i | \(-0.251129\pi\) |
−0.848606 | + | 0.529025i | \(0.822558\pi\) | |||||||
\(48\) | 716.470 | + | 772.171i | 0.310968 | + | 0.335144i | ||||
\(49\) | 70.5458 | + | 122.189i | 0.0293818 | + | 0.0508908i | ||||
\(50\) | 4755.59 | + | 2745.64i | 1.90224 | + | 1.09826i | ||||
\(51\) | −1306.51 | + | 298.202i | −0.502311 | + | 0.114649i | ||||
\(52\) | −72.3027 | − | 184.224i | −0.0267392 | − | 0.0681303i | ||||
\(53\) | 3354.03 | − | 1034.58i | 1.19403 | − | 0.368310i | 0.366868 | − | 0.930273i | \(-0.380430\pi\) |
0.827162 | + | 0.561963i | \(0.189954\pi\) | |||||||
\(54\) | −1535.24 | + | 1925.13i | −0.526489 | + | 0.660196i | ||||
\(55\) | 5928.78 | − | 444.301i | 1.95993 | − | 0.146876i | ||||
\(56\) | −3211.87 | − | 990.731i | −1.02419 | − | 0.315922i | ||||
\(57\) | 1253.99 | − | 854.959i | 0.385963 | − | 0.263145i | ||||
\(58\) | −4484.91 | + | 675.992i | −1.33321 | + | 0.200949i | ||||
\(59\) | −303.667 | + | 1330.45i | −0.0872355 | + | 0.382204i | −0.999633 | − | 0.0271023i | \(-0.991372\pi\) |
0.912397 | + | 0.409306i | \(0.134229\pi\) | |||||||
\(60\) | −232.355 | − | 215.594i | −0.0645430 | − | 0.0598872i | ||||
\(61\) | −2277.82 | − | 170.699i | −0.612153 | − | 0.0458745i | −0.234954 | − | 0.972007i | \(-0.575494\pi\) |
−0.377200 | + | 0.926132i | \(0.623113\pi\) | |||||||
\(62\) | −4380.86 | − | 1719.36i | −1.13966 | − | 0.447285i | ||||
\(63\) | 450.248 | − | 2987.20i | 0.113441 | − | 0.752633i | ||||
\(64\) | 3970.91 | − | 1912.29i | 0.969459 | − | 0.466867i | ||||
\(65\) | −2572.35 | − | 5341.53i | −0.608839 | − | 1.26427i | ||||
\(66\) | 2259.00 | + | 340.489i | 0.518595 | + | 0.0781656i | ||||
\(67\) | −2658.26 | + | 6773.13i | −0.592172 | + | 1.50883i | 0.249244 | + | 0.968441i | \(0.419818\pi\) |
−0.841416 | + | 0.540388i | \(0.818277\pi\) | |||||||
\(68\) | −33.1084 | + | 441.801i | −0.00716012 | + | 0.0955451i | ||||
\(69\) | −566.275 | + | 610.299i | −0.118940 | + | 0.128187i | ||||
\(70\) | −8506.58 | − | 1941.57i | −1.73604 | − | 0.396239i | ||||
\(71\) | 881.717 | + | 5849.81i | 0.174909 | + | 1.16045i | 0.888159 | + | 0.459537i | \(0.151984\pi\) |
−0.713250 | + | 0.700910i | \(0.752777\pi\) | |||||||
\(72\) | 2250.09 | + | 3300.28i | 0.434046 | + | 0.636628i | ||||
\(73\) | 1721.54 | − | 5581.08i | 0.323050 | − | 1.04730i | −0.637792 | − | 0.770209i | \(-0.720152\pi\) |
0.960842 | − | 0.277095i | \(-0.0893718\pi\) | |||||||
\(74\) | −186.433 | − | 2487.78i | −0.0340455 | − | 0.454305i | ||||
\(75\) | −5180.17 | − | 4131.05i | −0.920919 | − | 0.734408i | ||||
\(76\) | −147.895 | − | 479.464i | −0.0256051 | − | 0.0830096i | ||||
\(77\) | −6136.14 | + | 2408.26i | −1.03494 | + | 0.406183i | ||||
\(78\) | −506.920 | − | 2220.96i | −0.0833202 | − | 0.365050i | ||||
\(79\) | 676.836 | − | 1172.31i | 0.108450 | − | 0.187841i | −0.806693 | − | 0.590971i | \(-0.798745\pi\) |
0.915142 | + | 0.403131i | \(0.132078\pi\) | |||||||
\(80\) | 9034.65 | − | 5216.16i | 1.41166 | − | 0.815025i | ||||
\(81\) | −1379.77 | + | 1280.24i | −0.210299 | + | 0.195129i | ||||
\(82\) | −7354.11 | + | 5864.71i | −1.09371 | + | 0.872205i | ||||
\(83\) | −2795.41 | − | 1905.88i | −0.405779 | − | 0.276655i | 0.343183 | − | 0.939269i | \(-0.388495\pi\) |
−0.748962 | + | 0.662613i | \(0.769447\pi\) | |||||||
\(84\) | 316.628 | + | 152.480i | 0.0448736 | + | 0.0216100i | ||||
\(85\) | 13272.2i | 1.83698i | ||||||||
\(86\) | 3625.41 | − | 6030.55i | 0.490185 | − | 0.815379i | ||||
\(87\) | 5472.54 | 0.723020 | ||||||||
\(88\) | 3781.65 | − | 7852.67i | 0.488333 | − | 1.01403i | ||||
\(89\) | −1021.13 | + | 1497.72i | −0.128914 | + | 0.189082i | −0.885269 | − | 0.465079i | \(-0.846026\pi\) |
0.756355 | + | 0.654161i | \(0.226978\pi\) | |||||||
\(90\) | 6464.92 | + | 8106.75i | 0.798138 | + | 1.00083i | ||||
\(91\) | 4470.93 | + | 4818.52i | 0.539902 | + | 0.581876i | ||||
\(92\) | 137.620 | + | 238.364i | 0.0162594 | + | 0.0281621i | ||||
\(93\) | 4917.64 | + | 2839.20i | 0.568579 | + | 0.328269i | ||||
\(94\) | −1893.02 | + | 432.068i | −0.214239 | + | 0.0488986i | ||||
\(95\) | −5491.49 | − | 13992.1i | −0.608475 | − | 1.55037i | ||||
\(96\) | −849.572 | + | 262.058i | −0.0921845 | + | 0.0284351i | ||||
\(97\) | −6785.52 | + | 8508.77i | −0.721173 | + | 0.904322i | −0.998404 | − | 0.0564810i | \(-0.982012\pi\) |
0.277231 | + | 0.960803i | \(0.410583\pi\) | |||||||
\(98\) | 535.426 | − | 40.1246i | 0.0557503 | − | 0.00417791i | ||||
\(99\) | 7485.47 | + | 2308.96i | 0.763746 | + | 0.235584i | ||||
\(100\) | −1809.83 | + | 1233.92i | −0.180983 | + | 0.123392i | ||||
\(101\) | −7013.17 | + | 1057.06i | −0.687498 | + | 0.103624i | −0.483496 | − | 0.875347i | \(-0.660633\pi\) |
−0.204002 | + | 0.978970i | \(0.565395\pi\) | |||||||
\(102\) | −1134.82 | + | 4971.95i | −0.109075 | + | 0.477889i | ||||
\(103\) | 4926.01 | + | 4570.66i | 0.464323 | + | 0.430829i | 0.877322 | − | 0.479903i | \(-0.159328\pi\) |
−0.412998 | + | 0.910732i | \(0.635519\pi\) | |||||||
\(104\) | −8666.94 | − | 649.498i | −0.801308 | − | 0.0600497i | ||||
\(105\) | 9800.10 | + | 3846.25i | 0.888898 | + | 0.348867i | ||||
\(106\) | 1990.80 | − | 13208.1i | 0.177180 | − | 1.17551i | ||||
\(107\) | 12504.6 | − | 6021.88i | 1.09220 | − | 0.525974i | 0.201000 | − | 0.979591i | \(-0.435581\pi\) |
0.891197 | + | 0.453617i | \(0.149867\pi\) | |||||||
\(108\) | −426.167 | − | 884.944i | −0.0365369 | − | 0.0758697i | ||||
\(109\) | 6812.45 | + | 1026.81i | 0.573390 | + | 0.0864247i | 0.429336 | − | 0.903145i | \(-0.358748\pi\) |
0.144055 | + | 0.989570i | \(0.453986\pi\) | |||||||
\(110\) | 8265.98 | − | 21061.4i | 0.683139 | − | 1.74061i | ||||
\(111\) | −224.947 | + | 3001.71i | −0.0182572 | + | 0.243625i | ||||
\(112\) | −7867.24 | + | 8478.87i | −0.627172 | + | 0.675930i | ||||
\(113\) | 21894.1 | + | 4997.18i | 1.71463 | + | 0.391353i | 0.963268 | − | 0.268541i | \(-0.0865415\pi\) |
0.751359 | + | 0.659894i | \(0.229399\pi\) | |||||||
\(114\) | −860.822 | − | 5711.18i | −0.0662375 | − | 0.439457i | ||||
\(115\) | 4644.78 | + | 6812.64i | 0.351212 | + | 0.515134i | ||||
\(116\) | 533.277 | − | 1728.84i | 0.0396311 | − | 0.128481i | ||||
\(117\) | −583.748 | − | 7789.57i | −0.0426436 | − | 0.569039i | ||||
\(118\) | 4060.26 | + | 3237.95i | 0.291602 | + | 0.232544i | ||||
\(119\) | −4337.37 | − | 14061.4i | −0.306290 | − | 0.992967i | ||||
\(120\) | −12957.9 | + | 5085.59i | −0.899852 | + | 0.353166i | ||||
\(121\) | −545.615 | − | 2390.50i | −0.0372662 | − | 0.163274i | ||||
\(122\) | −4346.30 | + | 7528.02i | −0.292012 | + | 0.505779i | ||||
\(123\) | 9828.89 | − | 5674.71i | 0.649672 | − | 0.375088i | ||||
\(124\) | 1376.14 | − | 1276.87i | 0.0894992 | − | 0.0830431i | ||||
\(125\) | −29082.2 | + | 23192.3i | −1.86126 | + | 1.48431i | ||||
\(126\) | −9498.65 | − | 6476.07i | −0.598303 | − | 0.407916i | ||||
\(127\) | −10313.3 | − | 4966.64i | −0.639428 | − | 0.307932i | 0.0859328 | − | 0.996301i | \(-0.472613\pi\) |
−0.725361 | + | 0.688368i | \(0.758327\pi\) | |||||||
\(128\) | − | 13674.3i | − | 0.834614i | ||||||
\(129\) | −5409.98 | + | 6543.11i | −0.325099 | + | 0.393192i | ||||
\(130\) | −22561.6 | −1.33501 | ||||||||
\(131\) | −1029.15 | + | 2137.06i | −0.0599705 | + | 0.124530i | −0.928800 | − | 0.370581i | \(-0.879158\pi\) |
0.868830 | + | 0.495111i | \(0.164873\pi\) | |||||||
\(132\) | −513.344 | + | 752.937i | −0.0294619 | + | 0.0432126i | ||||
\(133\) | 10390.7 | + | 13029.5i | 0.587409 | + | 0.736587i | ||||
\(134\) | 18833.6 | + | 20297.7i | 1.04887 | + | 1.13042i | ||||
\(135\) | −14712.1 | − | 25482.2i | −0.807251 | − | 1.39820i | ||||
\(136\) | 16850.0 | + | 9728.33i | 0.911005 | + | 0.525969i | ||||
\(137\) | 1723.90 | − | 393.468i | 0.0918481 | − | 0.0209637i | −0.176350 | − | 0.984328i | \(-0.556429\pi\) |
0.268198 | + | 0.963364i | \(0.413572\pi\) | |||||||
\(138\) | 1157.50 | + | 2949.26i | 0.0607803 | + | 0.154866i | ||||
\(139\) | −19478.9 | + | 6008.44i | −1.00817 | + | 0.310980i | −0.754493 | − | 0.656309i | \(-0.772117\pi\) |
−0.253679 | + | 0.967288i | \(0.581641\pi\) | |||||||
\(140\) | 2170.06 | − | 2721.16i | 0.110717 | − | 0.138835i | ||||
\(141\) | 2336.27 | − | 175.079i | 0.117513 | − | 0.00880635i | ||||
\(142\) | 21512.8 | + | 6635.83i | 1.06689 | + | 0.329093i | ||||
\(143\) | −14083.1 | + | 9601.68i | −0.688693 | + | 0.469543i | ||||
\(144\) | 13591.8 | − | 2048.63i | 0.655468 | − | 0.0987959i | ||||
\(145\) | 12060.4 | − | 52840.1i | 0.573622 | − | 2.51320i | ||||
\(146\) | −16293.1 | − | 15117.8i | −0.764360 | − | 0.709222i | ||||
\(147\) | −646.035 | − | 48.4136i | −0.0298966 | − | 0.00224044i | ||||
\(148\) | 926.354 | + | 363.567i | 0.0422915 | + | 0.0165982i | ||||
\(149\) | −4270.30 | + | 28331.6i | −0.192347 | + | 1.27614i | 0.659242 | + | 0.751931i | \(0.270877\pi\) |
−0.851589 | + | 0.524210i | \(0.824361\pi\) | |||||||
\(150\) | −22717.2 | + | 10940.0i | −1.00965 | + | 0.486223i | ||||
\(151\) | −45.5359 | − | 94.5563i | −0.00199710 | − | 0.00414703i | 0.899968 | − | 0.435956i | \(-0.143590\pi\) |
−0.901965 | + | 0.431809i | \(0.857875\pi\) | |||||||
\(152\) | −21789.1 | − | 3284.18i | −0.943089 | − | 0.142148i | ||||
\(153\) | −6388.73 | + | 16278.2i | −0.272918 | + | 0.695383i | ||||
\(154\) | −1874.62 | + | 25015.1i | −0.0790447 | + | 1.05478i | ||||
\(155\) | 38251.4 | − | 41225.2i | 1.59215 | − | 1.71593i | ||||
\(156\) | 885.931 | + | 202.208i | 0.0364041 | + | 0.00830900i | ||||
\(157\) | 236.402 | + | 1568.42i | 0.00959073 | + | 0.0636303i | 0.993114 | − | 0.117150i | \(-0.0373758\pi\) |
−0.983524 | + | 0.180780i | \(0.942138\pi\) | |||||||
\(158\) | −2901.90 | − | 4256.31i | −0.116243 | − | 0.170498i | ||||
\(159\) | −4750.46 | + | 15400.6i | −0.187906 | + | 0.609178i | ||||
\(160\) | 658.012 | + | 8780.56i | 0.0257036 | + | 0.342991i | ||||
\(161\) | −7147.36 | − | 5699.83i | −0.275736 | − | 0.219892i | ||||
\(162\) | 2111.29 | + | 6844.64i | 0.0804485 | + | 0.260808i | ||||
\(163\) | −29941.3 | + | 11751.1i | −1.12693 | + | 0.442287i | −0.854273 | − | 0.519825i | \(-0.825997\pi\) |
−0.272655 | + | 0.962112i | \(0.587902\pi\) | |||||||
\(164\) | −834.924 | − | 3658.04i | −0.0310427 | − | 0.136007i | ||||
\(165\) | −13649.7 | + | 23642.0i | −0.501366 | + | 0.868391i | ||||
\(166\) | −11150.3 | + | 6437.60i | −0.404640 | + | 0.233619i | ||||
\(167\) | −1174.88 | + | 1090.13i | −0.0421269 | + | 0.0390881i | −0.700955 | − | 0.713205i | \(-0.747243\pi\) |
0.658828 | + | 0.752293i | \(0.271052\pi\) | |||||||
\(168\) | 12066.4 | − | 9622.65i | 0.427524 | − | 0.340939i | ||||
\(169\) | −9554.82 | − | 6514.36i | −0.334541 | − | 0.228086i | ||||
\(170\) | 45505.7 | + | 21914.4i | 1.57459 | + | 0.758284i | ||||
\(171\) | − | 19804.6i | − | 0.677288i | ||||||
\(172\) | 1539.87 | + | 2346.67i | 0.0520507 | + | 0.0793224i | ||||
\(173\) | 39296.7 | 1.31300 | 0.656498 | − | 0.754328i | \(-0.272037\pi\) | ||||
0.656498 | + | 0.754328i | \(0.272037\pi\) | |||||||
\(174\) | 9036.01 | − | 18763.5i | 0.298455 | − | 0.619747i | ||||
\(175\) | 40983.6 | − | 60111.9i | 1.33824 | − | 1.96284i | ||||
\(176\) | −18700.2 | − | 23449.3i | −0.603699 | − | 0.757015i | ||||
\(177\) | −4262.03 | − | 4593.38i | −0.136041 | − | 0.146617i | ||||
\(178\) | 3449.12 | + | 5974.05i | 0.108860 | + | 0.188551i | ||||
\(179\) | −42189.3 | − | 24358.0i | −1.31673 | − | 0.760214i | −0.333528 | − | 0.942740i | \(-0.608239\pi\) |
−0.983201 | + | 0.182526i | \(0.941573\pi\) | |||||||
\(180\) | −4032.41 | + | 920.372i | −0.124457 | + | 0.0284065i | ||||
\(181\) | 5803.80 | + | 14787.9i | 0.177156 | + | 0.451386i | 0.991677 | − | 0.128748i | \(-0.0410957\pi\) |
−0.814522 | + | 0.580133i | \(0.803000\pi\) | |||||||
\(182\) | 23903.2 | − | 7373.17i | 0.721629 | − | 0.222593i | ||||
\(183\) | 6539.38 | − | 8200.12i | 0.195269 | − | 0.244860i | ||||
\(184\) | 12053.7 | − | 903.299i | 0.356028 | − | 0.0266806i | ||||
\(185\) | 28487.2 | + | 8787.14i | 0.832351 | + | 0.256746i | ||||
\(186\) | 17854.4 | − | 12172.9i | 0.516083 | − | 0.351860i | ||||
\(187\) | 37731.2 | − | 5687.06i | 1.07899 | − | 0.162631i | ||||
\(188\) | 172.350 | − | 755.115i | 0.00487636 | − | 0.0213647i | ||||
\(189\) | 23914.6 | + | 22189.5i | 0.669483 | + | 0.621190i | ||||
\(190\) | −57041.4 | − | 4274.66i | −1.58009 | − | 0.118412i | ||||
\(191\) | −57387.1 | − | 22522.8i | −1.57307 | − | 0.617383i | −0.591127 | − | 0.806578i | \(-0.701317\pi\) |
−0.981940 | + | 0.189195i | \(0.939412\pi\) | |||||||
\(192\) | −3016.20 | + | 20011.2i | −0.0818197 | + | 0.542838i | ||||
\(193\) | 9278.95 | − | 4468.51i | 0.249106 | − | 0.119963i | −0.305165 | − | 0.952300i | \(-0.598712\pi\) |
0.554271 | + | 0.832336i | \(0.312997\pi\) | |||||||
\(194\) | 17969.7 | + | 37314.5i | 0.477461 | + | 0.991458i | ||||
\(195\) | 26918.4 | + | 4057.30i | 0.707913 | + | 0.106701i | ||||
\(196\) | −78.2479 | + | 199.372i | −0.00203686 | + | 0.00518983i | ||||
\(197\) | −5265.93 | + | 70268.9i | −0.135688 | + | 1.81063i | 0.350266 | + | 0.936650i | \(0.386091\pi\) |
−0.485955 | + | 0.873984i | \(0.661528\pi\) | |||||||
\(198\) | 20276.3 | − | 21852.7i | 0.517200 | − | 0.557409i | ||||
\(199\) | −15643.7 | − | 3570.57i | −0.395033 | − | 0.0901637i | 0.0203900 | − | 0.999792i | \(-0.493509\pi\) |
−0.415423 | + | 0.909628i | \(0.636366\pi\) | |||||||
\(200\) | 14337.3 | + | 95121.9i | 0.358433 | + | 2.37805i | ||||
\(201\) | −18820.2 | − | 27604.2i | −0.465836 | − | 0.683256i | ||||
\(202\) | −7955.51 | + | 25791.1i | −0.194969 | + | 0.632073i | ||||
\(203\) | 4490.65 | + | 59923.5i | 0.108973 | + | 1.45414i | ||||
\(204\) | −1590.47 | − | 1268.36i | −0.0382178 | − | 0.0304777i | ||||
\(205\) | −33131.2 | − | 107409.i | −0.788369 | − | 2.55583i | ||||
\(206\) | 23804.8 | − | 9342.71i | 0.560958 | − | 0.220160i | ||||
\(207\) | 2417.43 | + | 10591.5i | 0.0564175 | + | 0.247181i | ||||
\(208\) | −14954.1 | + | 25901.3i | −0.345648 | + | 0.598680i | ||||
\(209\) | −37424.7 | + | 21607.2i | −0.856773 | + | 0.494658i | ||||
\(210\) | 29369.0 | − | 27250.4i | 0.665963 | − | 0.617923i | ||||
\(211\) | 49566.4 | − | 39527.9i | 1.11333 | − | 0.887848i | 0.118860 | − | 0.992911i | \(-0.462076\pi\) |
0.994466 | + | 0.105063i | \(0.0335045\pi\) | |||||||
\(212\) | 4402.32 | + | 3001.45i | 0.0979513 | + | 0.0667821i | ||||
\(213\) | −24473.8 | − | 11785.9i | −0.539438 | − | 0.259780i | ||||
\(214\) | − | 52816.9i | − | 1.15331i | ||||||
\(215\) | 51254.5 | + | 66655.7i | 1.10880 | + | 1.44198i | ||||
\(216\) | −43135.2 | −0.924537 | ||||||||
\(217\) | −27053.5 | + | 56177.2i | −0.574519 | + | 1.19300i | ||||
\(218\) | 14769.0 | − | 21662.1i | 0.310769 | − | 0.455815i | ||||
\(219\) | 16720.7 | + | 20967.1i | 0.348632 | + | 0.437170i | ||||
\(220\) | 6138.67 | + | 6615.91i | 0.126832 | + | 0.136692i | ||||
\(221\) | −19024.9 | − | 32952.1i | −0.389527 | − | 0.674681i | ||||
\(222\) | 9920.40 | + | 5727.54i | 0.201290 | + | 0.116215i | ||||
\(223\) | −11703.1 | + | 2671.15i | −0.235337 | + | 0.0537141i | −0.338563 | − | 0.940944i | \(-0.609941\pi\) |
0.103226 | + | 0.994658i | \(0.467084\pi\) | |||||||
\(224\) | −3566.64 | − | 9087.65i | −0.0710826 | − | 0.181116i | ||||
\(225\) | −82617.1 | + | 25484.0i | −1.63194 | + | 0.503388i | ||||
\(226\) | 53284.1 | − | 66816.2i | 1.04323 | − | 1.30817i | ||||
\(227\) | −34279.1 | + | 2568.86i | −0.665239 | + | 0.0498528i | −0.403070 | − | 0.915169i | \(-0.632057\pi\) |
−0.262169 | + | 0.965022i | \(0.584438\pi\) | |||||||
\(228\) | 2201.54 | + | 679.085i | 0.0423504 | + | 0.0130634i | ||||
\(229\) | 32267.0 | − | 21999.2i | 0.615300 | − | 0.419505i | −0.215163 | − | 0.976578i | \(-0.569028\pi\) |
0.830463 | + | 0.557074i | \(0.188076\pi\) | |||||||
\(230\) | 31027.5 | − | 4676.64i | 0.586530 | − | 0.0884052i | ||||
\(231\) | 6735.14 | − | 29508.6i | 0.126218 | − | 0.552999i | ||||
\(232\) | −58244.0 | − | 54042.6i | −1.08212 | − | 1.00406i | ||||
\(233\) | −82062.3 | − | 6149.72i | −1.51158 | − | 0.113278i | −0.707041 | − | 0.707173i | \(-0.749970\pi\) |
−0.804542 | + | 0.593895i | \(0.797589\pi\) | |||||||
\(234\) | −27671.6 | − | 10860.3i | −0.505363 | − | 0.198340i | ||||
\(235\) | 3458.20 | − | 22943.6i | 0.0626201 | − | 0.415458i | ||||
\(236\) | −1866.42 | + | 898.820i | −0.0335108 | + | 0.0161380i | ||||
\(237\) | 2696.86 | + | 5600.08i | 0.0480133 | + | 0.0997006i | ||||
\(238\) | −55373.4 | − | 8346.19i | −0.977568 | − | 0.147345i | ||||
\(239\) | −17132.9 | + | 43653.9i | −0.299940 | + | 0.764236i | 0.698860 | + | 0.715259i | \(0.253691\pi\) |
−0.998800 | + | 0.0489767i | \(0.984404\pi\) | |||||||
\(240\) | −3579.71 | + | 47767.9i | −0.0621477 | + | 0.829303i | ||||
\(241\) | −15847.3 | + | 17079.3i | −0.272848 | + | 0.294060i | −0.854579 | − | 0.519321i | \(-0.826185\pi\) |
0.581732 | + | 0.813381i | \(0.302375\pi\) | |||||||
\(242\) | −9097.09 | − | 2076.35i | −0.155336 | − | 0.0354544i | ||||
\(243\) | −9099.48 | − | 60371.1i | −0.154101 | − | 1.02239i | ||||
\(244\) | −1953.28 | − | 2864.93i | −0.0328084 | − | 0.0481210i | ||||
\(245\) | −1891.19 | + | 6131.09i | −0.0315067 | + | 0.102142i | ||||
\(246\) | −3227.63 | − | 43069.7i | −0.0533351 | − | 0.711708i | ||||
\(247\) | 33691.1 | + | 26867.8i | 0.552232 | + | 0.440390i | ||||
\(248\) | −24300.5 | − | 78780.2i | −0.395104 | − | 1.28090i | ||||
\(249\) | 14461.1 | − | 5675.57i | 0.233240 | − | 0.0915400i | ||||
\(250\) | 31499.2 | + | 138007.i | 0.503987 | + | 2.20811i | ||||
\(251\) | −14964.4 | + | 25919.2i | −0.237527 | + | 0.411409i | −0.960004 | − | 0.279986i | \(-0.909670\pi\) |
0.722477 | + | 0.691395i | \(0.243003\pi\) | |||||||
\(252\) | 3971.42 | − | 2292.90i | 0.0625381 | − | 0.0361064i | ||||
\(253\) | 17377.2 | − | 16123.7i | 0.271481 | − | 0.251898i | ||||
\(254\) | −34057.8 | + | 27160.2i | −0.527897 | + | 0.420984i | ||||
\(255\) | −50352.2 | − | 34329.6i | −0.774352 | − | 0.527944i | ||||
\(256\) | 16649.9 | + | 8018.18i | 0.254058 | + | 0.122348i | ||||
\(257\) | 3674.60i | 0.0556344i | 0.999613 | + | 0.0278172i | \(0.00885563\pi\) | ||||
−0.999613 | + | 0.0278172i | \(0.991144\pi\) | |||||||
\(258\) | 13501.4 | + | 29352.6i | 0.202833 | + | 0.440969i | ||||
\(259\) | −33052.8 | −0.492730 | ||||||||
\(260\) | 3904.83 | − | 8108.47i | 0.0577638 | − | 0.119948i | ||||
\(261\) | 40227.2 | − | 59002.5i | 0.590526 | − | 0.866142i | ||||
\(262\) | 5627.95 | + | 7057.22i | 0.0819875 | + | 0.102809i | ||||
\(263\) | −52253.2 | − | 56315.6i | −0.755442 | − | 0.814173i | 0.231906 | − | 0.972738i | \(-0.425504\pi\) |
−0.987349 | + | 0.158565i | \(0.949313\pi\) | |||||||
\(264\) | 20010.1 | + | 34658.5i | 0.287105 | + | 0.497281i | ||||
\(265\) | 138231. | + | 79808.0i | 1.96841 | + | 1.13646i | ||||
\(266\) | 61830.3 | − | 14112.4i | 0.873852 | − | 0.199451i | ||||
\(267\) | −3040.84 | − | 7747.94i | −0.0426551 | − | 0.108684i | ||||
\(268\) | −10554.5 | + | 3255.62i | −0.146949 | + | 0.0453277i | ||||
\(269\) | 33978.0 | − | 42607.0i | 0.469562 | − | 0.588812i | −0.489502 | − | 0.872002i | \(-0.662821\pi\) |
0.959064 | + | 0.283190i | \(0.0913928\pi\) | |||||||
\(270\) | −111662. | + | 8367.88i | −1.53171 | + | 0.114786i | ||||
\(271\) | 68735.4 | + | 21202.1i | 0.935927 | + | 0.288695i | 0.724955 | − | 0.688797i | \(-0.241861\pi\) |
0.210973 | + | 0.977492i | \(0.432337\pi\) | |||||||
\(272\) | 55320.1 | − | 37716.6i | 0.747730 | − | 0.509794i | ||||
\(273\) | −29845.0 | + | 4498.41i | −0.400448 | + | 0.0603579i | ||||
\(274\) | 1497.35 | − | 6560.32i | 0.0199445 | − | 0.0873824i | ||||
\(275\) | 138294. | + | 128318.i | 1.82868 | + | 1.69677i | ||||
\(276\) | −1260.27 | − | 94.4445i | −0.0165442 | − | 0.00123982i | ||||
\(277\) | 33502.0 | + | 13148.6i | 0.436627 | + | 0.171364i | 0.573465 | − | 0.819230i | \(-0.305599\pi\) |
−0.136838 | + | 0.990593i | \(0.543694\pi\) | |||||||
\(278\) | −11561.8 | + | 76707.3i | −0.149601 | + | 0.992538i | ||||
\(279\) | 66759.2 | − | 32149.5i | 0.857635 | − | 0.413015i | ||||
\(280\) | −66319.4 | − | 137714.i | −0.845911 | − | 1.75655i | ||||
\(281\) | 68280.2 | + | 10291.6i | 0.864733 | + | 0.130338i | 0.566406 | − | 0.824126i | \(-0.308333\pi\) |
0.298327 | + | 0.954464i | \(0.403571\pi\) | |||||||
\(282\) | 3257.25 | − | 8299.34i | 0.0409593 | − | 0.104363i | ||||
\(283\) | −3675.42 | + | 49045.0i | −0.0458917 | + | 0.612382i | 0.926087 | + | 0.377311i | \(0.123151\pi\) |
−0.971978 | + | 0.235071i | \(0.924468\pi\) | |||||||
\(284\) | −6108.18 | + | 6583.06i | −0.0757313 | + | 0.0816189i | ||||
\(285\) | 67287.6 | + | 15358.0i | 0.828410 | + | 0.189079i | ||||
\(286\) | 9667.53 | + | 64139.9i | 0.118191 | + | 0.784144i | ||||
\(287\) | 70202.7 | + | 102968.i | 0.852295 | + | 1.25009i | ||||
\(288\) | −3419.59 | + | 11086.0i | −0.0412276 | + | 0.133657i | ||||
\(289\) | 123.990 | + | 1654.53i | 0.00148454 | + | 0.0198098i | ||||
\(290\) | −161257. | − | 128598.i | −1.91744 | − | 1.52911i | ||||
\(291\) | −14729.4 | − | 47751.7i | −0.173940 | − | 0.563901i | ||||
\(292\) | 8253.13 | − | 3239.11i | 0.0967950 | − | 0.0379892i | ||||
\(293\) | 14461.9 | + | 63361.6i | 0.168457 | + | 0.738059i | 0.986615 | + | 0.163065i | \(0.0521382\pi\) |
−0.818158 | + | 0.574993i | \(0.805005\pi\) | |||||||
\(294\) | −1232.70 | + | 2135.09i | −0.0142614 | + | 0.0247014i | ||||
\(295\) | −53744.0 | + | 31029.1i | −0.617570 | + | 0.356554i | ||||
\(296\) | 32036.6 | − | 29725.6i | 0.365648 | − | 0.339272i | ||||
\(297\) | −66138.6 | + | 52743.8i | −0.749794 | + | 0.597941i | ||||
\(298\) | 90088.4 | + | 61421.2i | 1.01446 | + | 0.691649i | ||||
\(299\) | −21297.6 | − | 10256.4i | −0.238225 | − | 0.114723i | ||||
\(300\) | − | 10057.8i | − | 0.111754i | ||||||
\(301\) | −76085.5 | − | 53869.3i | −0.839786 | − | 0.594578i | ||||
\(302\) | −399.388 | −0.00437906 | ||||||||
\(303\) | 14129.8 | − | 29340.9i | 0.153905 | − | 0.319586i | ||||
\(304\) | −42715.1 | + | 62651.6i | −0.462205 | + | 0.677930i | ||||
\(305\) | −64764.7 | − | 81212.3i | −0.696207 | − | 0.873016i | ||||
\(306\) | 45263.6 | + | 48782.6i | 0.483400 | + | 0.520981i | ||||
\(307\) | −15587.7 | − | 26998.7i | −0.165389 | − | 0.286462i | 0.771405 | − | 0.636345i | \(-0.219555\pi\) |
−0.936793 | + | 0.349883i | \(0.886221\pi\) | |||||||
\(308\) | −8665.79 | − | 5003.20i | −0.0913496 | − | 0.0527407i | ||||
\(309\) | −30081.8 | + | 6865.97i | −0.315055 | + | 0.0719093i | ||||
\(310\) | −78188.0 | − | 199220.i | −0.813611 | − | 2.07305i | ||||
\(311\) | 121587. | − | 37504.6i | 1.25709 | − | 0.387761i | 0.406529 | − | 0.913638i | \(-0.366739\pi\) |
0.850560 | + | 0.525877i | \(0.176263\pi\) | |||||||
\(312\) | 24881.8 | − | 31200.8i | 0.255607 | − | 0.320521i | ||||
\(313\) | 31107.9 | − | 2331.21i | 0.317528 | − | 0.0237954i | 0.0849870 | − | 0.996382i | \(-0.472915\pi\) |
0.232541 | + | 0.972587i | \(0.425296\pi\) | |||||||
\(314\) | 5767.92 | + | 1779.17i | 0.0585006 | + | 0.0180450i | ||||
\(315\) | 113506. | − | 77387.4i | 1.14393 | − | 0.779918i | ||||
\(316\) | 2031.93 | − | 306.264i | 0.0203486 | − | 0.00306706i | ||||
\(317\) | 15586.7 | − | 68289.9i | 0.155109 | − | 0.679576i | −0.836245 | − | 0.548356i | \(-0.815254\pi\) |
0.991353 | − | 0.131219i | \(-0.0418891\pi\) | |||||||
\(318\) | 44959.7 | + | 41716.5i | 0.444600 | + | 0.412528i | ||||
\(319\) | −155386. | − | 11644.5i | −1.52697 | − | 0.114430i | ||||
\(320\) | 186571. | + | 73223.6i | 1.82198 | + | 0.715074i | ||||
\(321\) | −9498.15 | + | 63016.1i | −0.0921784 | + | 0.611564i | ||||
\(322\) | −31344.2 | + | 15094.6i | −0.302305 | + | 0.145582i | ||||
\(323\) | −41856.4 | − | 86915.6i | −0.401196 | − | 0.833092i | ||||
\(324\) | −2825.32 | − | 425.848i | −0.0269139 | − | 0.00405662i | ||||
\(325\) | 68729.2 | − | 175119.i | 0.650690 | − | 1.65793i | ||||
\(326\) | −9147.24 | + | 122061.i | −0.0860707 | + | 1.14853i | ||||
\(327\) | −21516.5 | + | 23189.3i | −0.201222 | + | 0.216866i | ||||
\(328\) | −160648. | − | 36666.8i | −1.49323 | − | 0.340820i | ||||
\(329\) | 3834.18 | + | 25438.1i | 0.0354226 | + | 0.235014i | ||||
\(330\) | 58522.4 | + | 85836.6i | 0.537396 | + | 0.788215i | ||||
\(331\) | 29530.8 | − | 95736.6i | 0.269538 | − | 0.873820i | −0.715072 | − | 0.699051i | \(-0.753606\pi\) |
0.984609 | − | 0.174769i | \(-0.0559179\pi\) | |||||||
\(332\) | −383.803 | − | 5121.50i | −0.00348203 | − | 0.0464645i | ||||
\(333\) | 30709.5 | + | 24490.0i | 0.276939 | + | 0.220852i | ||||
\(334\) | 1797.77 | + | 5828.22i | 0.0161154 | + | 0.0522448i | ||||
\(335\) | −308008. | + | 120884.i | −2.74456 | + | 1.07716i | ||||
\(336\) | −11818.0 | − | 51778.2i | −0.104681 | − | 0.458636i | ||||
\(337\) | −73772.3 | + | 127777.i | −0.649581 | + | 1.12511i | 0.333642 | + | 0.942700i | \(0.391722\pi\) |
−0.983223 | + | 0.182408i | \(0.941611\pi\) | |||||||
\(338\) | −38112.0 | + | 22004.0i | −0.333602 | + | 0.192605i | ||||
\(339\) | −75589.2 | + | 70136.6i | −0.657750 | + | 0.610302i | ||||
\(340\) | −15751.7 | + | 12561.6i | −0.136261 | + | 0.108664i | ||||
\(341\) | −133588. | − | 91079.1i | −1.14884 | − | 0.783267i | ||||
\(342\) | −67903.1 | − | 32700.4i | −0.580547 | − | 0.279577i | ||||
\(343\) | 113943.i | 0.968497i | ||||||||
\(344\) | 122193. | − | 16213.4i | 1.03259 | − | 0.137011i | ||||
\(345\) | −37860.0 | −0.318085 | ||||||||
\(346\) | 64884.8 | − | 134735.i | 0.541990 | − | 1.12545i | ||||
\(347\) | 61141.0 | − | 89677.4i | 0.507778 | − | 0.744774i | −0.483674 | − | 0.875248i | \(-0.660698\pi\) |
0.991452 | + | 0.130475i | \(0.0416502\pi\) | |||||||
\(348\) | 5179.54 | + | 6494.94i | 0.0427694 | + | 0.0536311i | ||||
\(349\) | 142932. | + | 154044.i | 1.17349 | + | 1.26472i | 0.957536 | + | 0.288315i | \(0.0930951\pi\) |
0.215952 | + | 0.976404i | \(0.430714\pi\) | |||||||
\(350\) | −138433. | − | 239773.i | −1.13006 | − | 1.95733i | ||||
\(351\) | 73054.5 | + | 42178.0i | 0.592970 | + | 0.342351i | ||||
\(352\) | 24680.1 | − | 5633.07i | 0.199187 | − | 0.0454632i | ||||
\(353\) | 73855.3 | + | 188180.i | 0.592697 | + | 1.51017i | 0.840752 | + | 0.541420i | \(0.182113\pi\) |
−0.248055 | + | 0.968746i | \(0.579791\pi\) | |||||||
\(354\) | −22786.4 | + | 7028.67i | −0.181831 | + | 0.0560876i | ||||
\(355\) | −167734. | + | 210332.i | −1.33096 | + | 1.66897i | ||||
\(356\) | −2743.98 | + | 205.633i | −0.0216512 | + | 0.00162253i | ||||
\(357\) | 64565.4 | + | 19915.8i | 0.506598 | + | 0.156265i | ||||
\(358\) | −153176. | + | 104434.i | −1.19516 | + | 0.814845i | ||||
\(359\) | 6440.59 | − | 970.763i | 0.0499732 | − | 0.00753224i | −0.124008 | − | 0.992281i | \(-0.539575\pi\) |
0.173981 | + | 0.984749i | \(0.444337\pi\) | |||||||
\(360\) | −40419.3 | + | 177089.i | −0.311878 | + | 1.36643i | ||||
\(361\) | −15443.2 | − | 14329.2i | −0.118501 | − | 0.109953i | ||||
\(362\) | 60285.4 | + | 4517.77i | 0.460040 | + | 0.0344752i | ||||
\(363\) | 10480.4 | + | 4113.25i | 0.0795361 | + | 0.0312156i | ||||
\(364\) | −1487.17 | + | 9866.74i | −0.0112243 | + | 0.0744682i | ||||
\(365\) | 239297. | − | 115239.i | 1.79619 | − | 0.864998i | ||||
\(366\) | −17317.9 | − | 35960.9i | −0.129280 | − | 0.268453i | ||||
\(367\) | 15856.3 | + | 2389.96i | 0.117726 | + | 0.0177443i | 0.207641 | − | 0.978205i | \(-0.433422\pi\) |
−0.0899152 | + | 0.995949i | \(0.528660\pi\) | |||||||
\(368\) | 15196.5 | − | 38720.0i | 0.112214 | − | 0.285917i | ||||
\(369\) | 11067.4 | − | 147684.i | 0.0812816 | − | 1.08463i | ||||
\(370\) | 77164.8 | − | 83163.9i | 0.563658 | − | 0.607479i | ||||
\(371\) | −172533. | − | 39379.5i | −1.25350 | − | 0.286103i | ||||
\(372\) | 1284.72 | + | 8523.56i | 0.00928373 | + | 0.0615935i | ||||
\(373\) | −102340. | − | 150106.i | −0.735580 | − | 1.07890i | −0.993622 | − | 0.112764i | \(-0.964030\pi\) |
0.258042 | − | 0.966134i | \(-0.416923\pi\) | |||||||
\(374\) | 42801.0 | − | 138757.i | 0.305992 | − | 0.992003i | ||||
\(375\) | −12763.8 | − | 170321.i | −0.0907650 | − | 1.21117i | ||||
\(376\) | −26593.7 | − | 21207.8i | −0.188106 | − | 0.150010i | ||||
\(377\) | 45799.7 | + | 148479.i | 0.322240 | + | 1.04468i | ||||
\(378\) | 115567. | − | 45356.7i | 0.808817 | − | 0.317437i | ||||
\(379\) | 56916.6 | + | 249368.i | 0.396242 | + | 1.73605i | 0.641988 | + | 0.766715i | \(0.278110\pi\) |
−0.245746 | + | 0.969334i | \(0.579033\pi\) | |||||||
\(380\) | 11408.7 | − | 19760.4i | 0.0790074 | − | 0.136845i | ||||
\(381\) | 45518.8 | − | 26280.3i | 0.313575 | − | 0.181043i | ||||
\(382\) | −171978. | + | 159572.i | −1.17854 | + | 1.09353i | ||||
\(383\) | 51749.3 | − | 41268.7i | 0.352783 | − | 0.281335i | −0.431023 | − | 0.902341i | \(-0.641847\pi\) |
0.783806 | + | 0.621006i | \(0.213276\pi\) | |||||||
\(384\) | 51877.9 | + | 35369.8i | 0.351820 | + | 0.239867i | ||||
\(385\) | −270077. | − | 130062.i | −1.82207 | − | 0.877464i | ||||
\(386\) | − | 39192.5i | − | 0.263044i | ||||||
\(387\) | 30777.6 | + | 106425.i | 0.205500 | + | 0.710592i | ||||
\(388\) | −16520.6 | −0.109740 | ||||||||
\(389\) | 47441.8 | − | 98514.0i | 0.313518 | − | 0.651027i | −0.683352 | − | 0.730089i | \(-0.739478\pi\) |
0.996870 | + | 0.0790627i | \(0.0251927\pi\) | |||||||
\(390\) | 58357.5 | − | 85594.7i | 0.383678 | − | 0.562753i | ||||
\(391\) | 32994.1 | + | 41373.2i | 0.215815 | + | 0.270624i | ||||
\(392\) | 6397.63 | + | 6895.01i | 0.0416339 | + | 0.0448707i | ||||
\(393\) | −5445.62 | − | 9432.10i | −0.0352584 | − | 0.0610693i | ||||
\(394\) | 232233. | + | 134080.i | 1.49600 | + | 0.863716i | ||||
\(395\) | 60014.9 | − | 13698.0i | 0.384649 | − | 0.0877936i | ||||
\(396\) | 4344.37 | + | 11069.3i | 0.0277036 | + | 0.0705877i | ||||
\(397\) | 218408. | − | 67369.9i | 1.38576 | − | 0.427450i | 0.489895 | − | 0.871781i | \(-0.337035\pi\) |
0.895862 | + | 0.444332i | \(0.146559\pi\) | |||||||
\(398\) | −38072.4 | + | 47741.3i | −0.240350 | + | 0.301389i | ||||
\(399\) | −76307.9 | + | 5718.49i | −0.479318 | + | 0.0359199i | ||||
\(400\) | 316323. | + | 97572.8i | 1.97702 | + | 0.609830i | ||||
\(401\) | −17773.1 | + | 12117.5i | −0.110528 | + | 0.0753570i | −0.617323 | − | 0.786710i | \(-0.711783\pi\) |
0.506794 | + | 0.862067i | \(0.330830\pi\) | |||||||
\(402\) | −125720. | + | 18949.3i | −0.777954 | + | 0.117258i | ||||
\(403\) | −35876.4 | + | 157185.i | −0.220901 | + | 0.967833i | ||||
\(404\) | −7892.23 | − | 7322.92i | −0.0483545 | − | 0.0448665i | ||||
\(405\) | −85355.0 | − | 6396.48i | −0.520378 | − | 0.0389970i | ||||
\(406\) | 212872. | + | 83546.1i | 1.29142 | + | 0.506844i | ||||
\(407\) | 12774.1 | − | 84750.8i | 0.0771157 | − | 0.511629i | ||||
\(408\) | −80491.3 | + | 38762.6i | −0.483536 | + | 0.232859i | ||||
\(409\) | −36761.0 | − | 76335.0i | −0.219756 | − | 0.456328i | 0.761722 | − | 0.647904i | \(-0.224354\pi\) |
−0.981478 | + | 0.191576i | \(0.938640\pi\) | |||||||
\(410\) | −422972. | − | 63752.8i | −2.51619 | − | 0.379255i | ||||
\(411\) | −2966.25 | + | 7557.89i | −0.0175600 | + | 0.0447421i | ||||
\(412\) | −762.305 | + | 10172.3i | −0.00449091 | + | 0.0599270i | ||||
\(413\) | 46799.5 | − | 50437.9i | 0.274373 | − | 0.295704i | ||||
\(414\) | 40306.1 | + | 9199.60i | 0.235163 | + | 0.0536745i | ||||
\(415\) | −22931.0 | − | 152137.i | −0.133145 | − | 0.883362i | ||||
\(416\) | −14220.1 | − | 20857.1i | −0.0821707 | − | 0.120522i | ||||
\(417\) | 27588.8 | − | 89440.7i | 0.158658 | − | 0.514355i | ||||
\(418\) | 12289.6 | + | 163993.i | 0.0703371 | + | 0.938584i | ||||
\(419\) | −127324. | − | 101538.i | −0.725242 | − | 0.578361i | 0.189751 | − | 0.981832i | \(-0.439232\pi\) |
−0.914992 | + | 0.403471i | \(0.867803\pi\) | |||||||
\(420\) | 4710.58 | + | 15271.3i | 0.0267039 | + | 0.0865721i | ||||
\(421\) | 197711. | − | 77596.0i | 1.11549 | − | 0.437799i | 0.265246 | − | 0.964181i | \(-0.414547\pi\) |
0.850248 | + | 0.526382i | \(0.176452\pi\) | |||||||
\(422\) | −53685.8 | − | 235213.i | −0.301463 | − | 1.32080i | ||||
\(423\) | 15285.7 | − | 26475.5i | 0.0854286 | − | 0.147967i | ||||
\(424\) | 202644. | − | 116996.i | 1.12720 | − | 0.650789i | ||||
\(425\) | −308719. | + | 286449.i | −1.70917 | + | 1.58588i | ||||
\(426\) | −80819.9 | + | 64451.7i | −0.445348 | + | 0.355153i | ||||
\(427\) | 95156.2 | + | 64876.4i | 0.521893 | + | 0.355821i | ||||
\(428\) | 18982.0 | + | 9141.24i | 0.103622 | + | 0.0499019i | ||||
\(429\) | − | 78264.2i | − | 0.425254i | ||||||
\(430\) | 313169. | − | 65675.1i | 1.69372 | − | 0.355192i | ||||
\(431\) | 255865. | 1.37739 | 0.688695 | − | 0.725051i | \(-0.258184\pi\) | ||||
0.688695 | + | 0.725051i | \(0.258184\pi\) | |||||||
\(432\) | −64404.2 | + | 133737.i | −0.345101 | + | 0.716610i | ||||
\(433\) | 150951. | − | 221404.i | 0.805119 | − | 1.18089i | −0.175406 | − | 0.984496i | \(-0.556124\pi\) |
0.980525 | − | 0.196396i | \(-0.0629238\pi\) | |||||||
\(434\) | 147943. | + | 185514.i | 0.785442 | + | 0.984914i | ||||
\(435\) | 169270. | + | 182430.i | 0.894546 | + | 0.964091i | ||||
\(436\) | 5229.07 | + | 9057.02i | 0.0275075 | + | 0.0476444i | ||||
\(437\) | −51902.3 | − | 29965.8i | −0.271784 | − | 0.156914i | ||||
\(438\) | 99497.6 | − | 22709.7i | 0.518638 | − | 0.118376i | ||||
\(439\) | −20369.5 | − | 51900.6i | −0.105694 | − | 0.269304i | 0.868236 | − | 0.496151i | \(-0.165254\pi\) |
−0.973931 | + | 0.226846i | \(0.927158\pi\) | |||||||
\(440\) | 378743. | − | 116827.i | 1.95632 | − | 0.603443i | ||||
\(441\) | −5270.81 | + | 6609.38i | −0.0271019 | + | 0.0339847i | ||||
\(442\) | −144394. | + | 10820.9i | −0.739105 | + | 0.0553882i | ||||
\(443\) | −92719.1 | − | 28600.1i | −0.472456 | − | 0.145734i | 0.0493782 | − | 0.998780i | \(-0.484276\pi\) |
−0.521835 | + | 0.853047i | \(0.674752\pi\) | |||||||
\(444\) | −3775.40 | + | 2574.02i | −0.0191512 | + | 0.0130571i | ||||
\(445\) | −81511.6 | + | 12285.9i | −0.411623 | + | 0.0620421i | ||||
\(446\) | −10165.1 | + | 44536.2i | −0.0511025 | + | 0.223895i | ||||
\(447\) | −96439.5 | − | 89482.8i | −0.482658 | − | 0.447841i | ||||
\(448\) | −221595. | − | 16606.2i | −1.10409 | − | 0.0827399i | ||||
\(449\) | −243116. | − | 95415.9i | −1.20593 | − | 0.473291i | −0.324623 | − | 0.945843i | \(-0.605237\pi\) |
−0.881302 | + | 0.472553i | \(0.843333\pi\) | |||||||
\(450\) | −49037.7 | + | 325344.i | −0.242161 | + | 1.60664i | ||||
\(451\) | −291153. | + | 140212.i | −1.43142 | + | 0.689338i | ||||
\(452\) | 14791.1 | + | 30714.0i | 0.0723975 | + | 0.150335i | ||||
\(453\) | 476.512 | + | 71.8226i | 0.00232208 | + | 0.000349998i | ||||
\(454\) | −47792.3 | + | 121773.i | −0.231871 | + | 0.590798i | ||||
\(455\) | −22338.1 | + | 298082.i | −0.107901 | + | 1.43984i | ||||
\(456\) | 68818.9 | − | 74169.2i | 0.330962 | − | 0.356692i | ||||
\(457\) | −51848.2 | − | 11834.0i | −0.248257 | − | 0.0566630i | 0.0965815 | − | 0.995325i | \(-0.469209\pi\) |
−0.344838 | + | 0.938662i | \(0.612066\pi\) | |||||||
\(458\) | −22150.1 | − | 146956.i | −0.105595 | − | 0.700580i | ||||
\(459\) | −106379. | − | 156030.i | −0.504931 | − | 0.740598i | ||||
\(460\) | −3689.30 | + | 11960.4i | −0.0174353 | + | 0.0565238i | ||||
\(461\) | −18397.3 | − | 245495.i | −0.0865670 | − | 1.15516i | −0.856191 | − | 0.516659i | \(-0.827175\pi\) |
0.769624 | − | 0.638497i | \(-0.220444\pi\) | |||||||
\(462\) | −90054.0 | − | 71815.6i | −0.421909 | − | 0.336461i | ||||
\(463\) | 11775.5 | + | 38175.3i | 0.0549311 | + | 0.178082i | 0.978881 | − | 0.204432i | \(-0.0655346\pi\) |
−0.923950 | + | 0.382514i | \(0.875058\pi\) | |||||||
\(464\) | −254517. | + | 99890.5i | −1.18217 | + | 0.463968i | ||||
\(465\) | 57460.5 | + | 251751.i | 0.265744 | + | 1.16430i | ||||
\(466\) | −156583. | + | 271209.i | −0.721062 | + | 1.24892i | ||||
\(467\) | −367360. | + | 212095.i | −1.68445 | + | 0.972517i | −0.725808 | + | 0.687897i | \(0.758534\pi\) |
−0.958640 | + | 0.284620i | \(0.908133\pi\) | |||||||
\(468\) | 8692.36 | − | 8065.33i | 0.0396868 | − | 0.0368239i | ||||
\(469\) | 286819. | − | 228730.i | 1.30395 | − | 1.03987i | ||||
\(470\) | −72955.8 | − | 49740.5i | −0.330266 | − | 0.225172i | ||||
\(471\) | −6561.79 | − | 3159.99i | −0.0295788 | − | 0.0142444i | ||||
\(472\) | 90975.7i | 0.408358i | ||||||||
\(473\) | 167532. | − | 174272.i | 0.748815 | − | 0.778941i | ||||
\(474\) | 23653.7 | 0.105279 | ||||||||
\(475\) | 206943. | − | 429723.i | 0.917201 | − | 1.90459i | ||||
\(476\) | 12583.3 | − | 18456.3i | 0.0555366 | − | 0.0814572i | ||||
\(477\) | 131123. | + | 164423.i | 0.576292 | + | 0.722647i | ||||
\(478\) | 121385. | + | 130822.i | 0.531263 | + | 0.572566i | ||||
\(479\) | 21592.6 | + | 37399.5i | 0.0941097 | + | 0.163003i | 0.909237 | − | 0.416280i | \(-0.136666\pi\) |
−0.815127 | + | 0.579282i | \(0.803333\pi\) | |||||||
\(480\) | −35013.9 | − | 20215.3i | −0.151970 | − | 0.0877399i | ||||
\(481\) | −83323.7 | + | 19018.1i | −0.360146 | + | 0.0822010i | ||||
\(482\) | 32392.7 | + | 82535.4i | 0.139429 | + | 0.355260i | ||||
\(483\) | 40111.4 | − | 12372.7i | 0.171939 | − | 0.0530360i | ||||
\(484\) | 2320.69 | − | 2910.06i | 0.00990666 | − | 0.0124226i | ||||
\(485\) | −493526. | + | 36984.7i | −2.09810 | + | 0.157231i | ||||
\(486\) | −222017. | − | 68483.0i | −0.939967 | − | 0.289942i | ||||
\(487\) | 28980.8 | − | 19758.8i | 0.122195 | − | 0.0833110i | −0.500680 | − | 0.865632i | \(-0.666917\pi\) |
0.622875 | + | 0.782321i | \(0.285964\pi\) | |||||||
\(488\) | −150576. | + | 22695.7i | −0.632291 | + | 0.0953026i | ||||
\(489\) | 32864.2 | − | 143987.i | 0.137437 | − | 0.602152i | ||||
\(490\) | 17898.8 | + | 16607.6i | 0.0745471 | + | 0.0691696i | ||||
\(491\) | 437195. | + | 32763.3i | 1.81348 | + | 0.135902i | 0.937841 | − | 0.347065i | \(-0.112822\pi\) |
0.875639 | + | 0.482967i | \(0.160441\pi\) | |||||||
\(492\) | 16037.5 | + | 6294.27i | 0.0662533 | + | 0.0260025i | ||||
\(493\) | 51843.8 | − | 343961.i | 0.213306 | − | 1.41519i | ||||
\(494\) | 147749. | − | 71152.4i | 0.605441 | − | 0.291565i | ||||
\(495\) | 154562. | + | 320951.i | 0.630799 | + | 1.30987i | ||||
\(496\) | −280533. | − | 42283.6i | −1.14031 | − | 0.171873i | ||||
\(497\) | 108972. | − | 277655.i | 0.441165 | − | 1.12407i | ||||
\(498\) | 4417.95 | − | 58953.5i | 0.0178140 | − | 0.237712i | ||||
\(499\) | −74566.1 | + | 80363.1i | −0.299461 | + | 0.322742i | −0.864800 | − | 0.502117i | \(-0.832555\pi\) |
0.565339 | + | 0.824859i | \(0.308745\pi\) | |||||||
\(500\) | −55050.3 | − | 12564.9i | −0.220201 | − | 0.0502595i | ||||
\(501\) | −1096.83 | − | 7276.97i | −0.00436981 | − | 0.0289918i | ||||
\(502\) | 64159.3 | + | 94104.4i | 0.254596 | + | 0.373424i | ||||
\(503\) | 60662.4 | − | 196663.i | 0.239764 | − | 0.777295i | −0.753086 | − | 0.657922i | \(-0.771436\pi\) |
0.992850 | − | 0.119372i | \(-0.0380882\pi\) | |||||||
\(504\) | −15050.0 | − | 200828.i | −0.0592482 | − | 0.790613i | ||||
\(505\) | −252161. | − | 201092.i | −0.988771 | − | 0.788518i | ||||
\(506\) | −26590.2 | − | 86203.3i | −0.103853 | − | 0.336684i | ||||
\(507\) | 49428.6 | − | 19399.3i | 0.192293 | − | 0.0754693i | ||||
\(508\) | −3866.64 | − | 16940.8i | −0.0149833 | − | 0.0656459i | ||||
\(509\) | −117695. | + | 203855.i | −0.454281 | + | 0.786837i | −0.998647 | − | 0.0520107i | \(-0.983437\pi\) |
0.544366 | + | 0.838848i | \(0.316770\pi\) | |||||||
\(510\) | −200844. | + | 115957.i | −0.772179 | + | 0.445817i | ||||
\(511\) | −215866. | + | 200295.i | −0.826691 | + | 0.767057i | ||||
\(512\) | 226039. | − | 180260.i | 0.862272 | − | 0.687639i | ||||
\(513\) | 176708. | + | 120478.i | 0.671464 | + | 0.457796i | ||||
\(514\) | 12598.9 | + | 6067.33i | 0.0476878 | + | 0.0229652i | ||||
\(515\) | 305586.i | 1.15218i | ||||||||
\(516\) | −12885.9 | − | 227.891i | −0.0483965 | − | 0.000855910i | ||||
\(517\) | −66707.7 | −0.249572 | ||||||||
\(518\) | −54575.3 | + | 113327.i | −0.203393 | + | 0.422351i | ||||
\(519\) | −101644. | + | 149084.i | −0.377353 | + | 0.553475i | ||||
\(520\) | −246425. | − | 309007.i | −0.911334 | − | 1.14278i | ||||
\(521\) | −69181.4 | − | 74559.8i | −0.254867 | − | 0.274682i | 0.592638 | − | 0.805469i | \(-0.298087\pi\) |
−0.847505 | + | 0.530788i | \(0.821896\pi\) | |||||||
\(522\) | −135878. | − | 235347.i | −0.498664 | − | 0.863711i | ||||
\(523\) | 6978.12 | + | 4028.82i | 0.0255114 | + | 0.0147290i | 0.512701 | − | 0.858567i | \(-0.328645\pi\) |
−0.487190 | + | 0.873296i | \(0.661978\pi\) | |||||||
\(524\) | −3510.36 | + | 801.218i | −0.0127847 | + | 0.00291802i | ||||
\(525\) | 122046. | + | 310969.i | 0.442798 | + | 1.12823i | ||||
\(526\) | −279365. | + | 86172.6i | −1.00972 | + | 0.311457i | ||||
\(527\) | 225037. | − | 282187.i | 0.810274 | − | 1.01605i | ||||
\(528\) | 137332. | − | 10291.6i | 0.492611 | − | 0.0369161i | ||||
\(529\) | −235993. | − | 72794.3i | −0.843312 | − | 0.260127i | ||||
\(530\) | 501876. | − | 342173.i | 1.78667 | − | 1.21813i | ||||
\(531\) | −80852.8 | + | 12186.6i | −0.286752 | + | 0.0432209i | ||||
\(532\) | −5629.35 | + | 24663.8i | −0.0198900 | + | 0.0871438i | ||||
\(533\) | 236222. | + | 219182.i | 0.831508 | + | 0.771526i | ||||
\(534\) | −31585.9 | − | 2367.04i | −0.110767 | − | 0.00830085i | ||||
\(535\) | 587519. | + | 230584.i | 2.05265 | + | 0.805605i | ||||
\(536\) | −72294.8 | + | 479645.i | −0.251639 | + | 1.66951i | ||||
\(537\) | 201536. | − | 97054.7i | 0.698883 | − | 0.336564i | ||||
\(538\) | −89982.0 | − | 186850.i | −0.310879 | − | 0.645546i | ||||
\(539\) | 18240.3 | + | 2749.28i | 0.0627848 | + | 0.00946328i | ||||
\(540\) | 16318.4 | − | 41578.6i | 0.0559616 | − | 0.142588i | ||||
\(541\) | −12960.1 | + | 172941.i | −0.0442807 | + | 0.590885i | 0.930293 | + | 0.366817i | \(0.119553\pi\) |
−0.974574 | + | 0.224067i | \(0.928066\pi\) | |||||||
\(542\) | 186187. | − | 200662.i | 0.633799 | − | 0.683073i | ||||
\(543\) | −71114.5 | − | 16231.4i | −0.241189 | − | 0.0550499i | ||||
\(544\) | 8422.56 | + | 55880.0i | 0.0284607 | + | 0.188825i | ||||
\(545\) | 176486. | + | 258857.i | 0.594178 | + | 0.871499i | ||||
\(546\) | −33855.2 | + | 109756.i | −0.113564 | + | 0.368165i | ||||
\(547\) | −22918.6 | − | 305828.i | −0.0765974 | − | 1.02212i | −0.894589 | − | 0.446891i | \(-0.852531\pi\) |
0.817991 | − | 0.575231i | \(-0.195088\pi\) | |||||||
\(548\) | 2098.58 | + | 1673.56i | 0.00698817 | + | 0.00557288i | ||||
\(549\) | −40340.8 | − | 130782.i | −0.133844 | − | 0.433912i | ||||
\(550\) | 668303. | − | 262290.i | 2.20927 | − | 0.867073i | ||||
\(551\) | 87661.2 | + | 384069.i | 0.288738 | + | 1.26505i | ||||
\(552\) | −27750.9 | + | 48066.0i | −0.0910749 | + | 0.157746i | ||||
\(553\) | −59107.1 | + | 34125.5i | −0.193281 | + | 0.111591i | ||||
\(554\) | 100399. | − | 93156.5i | 0.327121 | − | 0.303524i | ||||
\(555\) | −107021. | + | 85346.7i | −0.347444 | + | 0.277077i | ||||
\(556\) | −25567.0 | − | 17431.3i | −0.0827045 | − | 0.0563870i | ||||
\(557\) | 174927. | + | 84240.2i | 0.563826 | + | 0.271524i | 0.694010 | − | 0.719966i | \(-0.255842\pi\) |
−0.130184 | + | 0.991490i | \(0.541557\pi\) | |||||||
\(558\) | − | 281978.i | − | 0.905622i | ||||||
\(559\) | −222801. | − | 92022.2i | −0.713008 | − | 0.294489i | ||||
\(560\) | −525989. | −1.67726 | ||||||||
\(561\) | −76019.1 | + | 157855.i | −0.241544 | + | 0.501572i | ||||
\(562\) | 148027. | − | 217116.i | 0.468673 | − | 0.687416i | ||||
\(563\) | −146593. | − | 183822.i | −0.462485 | − | 0.579938i | 0.494828 | − | 0.868991i | \(-0.335231\pi\) |
−0.957313 | + | 0.289053i | \(0.906660\pi\) | |||||||
\(564\) | 2418.97 | + | 2607.03i | 0.00760453 | + | 0.00819574i | ||||
\(565\) | 510619. | + | 884418.i | 1.59956 | + | 2.77052i | ||||
\(566\) | 162090. | + | 93582.6i | 0.505968 | + | 0.292121i | ||||
\(567\) | 92521.0 | − | 21117.3i | 0.287789 | − | 0.0656860i | ||||
\(568\) | 144084. | + | 367121.i | 0.446602 | + | 1.13792i | ||||
\(569\) | −260931. | + | 80486.6i | −0.805938 | + | 0.248599i | −0.670233 | − | 0.742150i | \(-0.733806\pi\) |
−0.135705 | + | 0.990749i | \(0.543330\pi\) | |||||||
\(570\) | 163759. | − | 205348.i | 0.504030 | − | 0.632034i | ||||
\(571\) | −257483. | + | 19295.7i | −0.789726 | + | 0.0591818i | −0.463485 | − | 0.886105i | \(-0.653401\pi\) |
−0.326241 | + | 0.945287i | \(0.605782\pi\) | |||||||
\(572\) | −24724.6 | − | 7626.52i | −0.0755678 | − | 0.0233096i | ||||
\(573\) | 233884. | − | 159459.i | 0.712345 | − | 0.485669i | ||||
\(574\) | 468959. | − | 70684.2i | 1.42335 | − | 0.214535i | ||||
\(575\) | −58219.4 | + | 255076.i | −0.176089 | + | 0.771496i | ||||
\(576\) | 193580. | + | 179616.i | 0.583467 | + | 0.541378i | ||||
\(577\) | −573636. | − | 42988.1i | −1.72300 | − | 0.129121i | −0.823862 | − | 0.566790i | \(-0.808185\pi\) |
−0.899136 | + | 0.437669i | \(0.855804\pi\) | |||||||
\(578\) | 5877.55 | + | 2306.77i | 0.0175930 | + | 0.00690475i | ||||
\(579\) | −7048.06 | + | 46760.8i | −0.0210239 | + | 0.139484i | ||||
\(580\) | 74126.5 | − | 35697.5i | 0.220352 | − | 0.106116i | ||||
\(581\) | 74013.2 | + | 153690.i | 0.219259 | + | 0.455295i | ||||
\(582\) | −188045. | − | 28343.2i | −0.555156 | − | 0.0836763i | ||||
\(583\) | 167653. | − | 427172.i | 0.493257 | − | 1.25680i | ||||
\(584\) | 29097.1 | − | 388273.i | 0.0853146 | − | 1.13844i | ||||
\(585\) | 241614. | − | 260398.i | 0.706009 | − | 0.760897i | ||||
\(586\) | 241124. | + | 55035.0i | 0.702175 | + | 0.160267i | ||||
\(587\) | 38316.4 | + | 254213.i | 0.111201 | + | 0.737770i | 0.973048 | + | 0.230602i | \(0.0740696\pi\) |
−0.861847 | + | 0.507168i | \(0.830692\pi\) | |||||||
\(588\) | −553.988 | − | 812.551i | −0.00160231 | − | 0.00235015i | ||||
\(589\) | −120486. | + | 390604.i | −0.347300 | + | 1.12592i | ||||
\(590\) | 17648.6 | + | 235504.i | 0.0506997 | + | 0.676540i | ||||
\(591\) | −252967. | − | 201734.i | −0.724250 | − | 0.577570i | ||||
\(592\) | −44328.4 | − | 143709.i | −0.126485 | − | 0.410054i | ||||
\(593\) | 47926.4 | − | 18809.7i | 0.136291 | − | 0.0534901i | −0.296215 | − | 0.955121i | \(-0.595725\pi\) |
0.432506 | + | 0.901631i | \(0.357629\pi\) | |||||||
\(594\) | 71635.3 | + | 313855.i | 0.203027 | + | 0.889520i | ||||
\(595\) | 334586. | − | 579520.i | 0.945091 | − | 1.63695i | ||||
\(596\) | −37666.3 | + | 21746.6i | −0.106038 | + | 0.0612209i | ||||
\(597\) | 54009.8 | − | 50113.8i | 0.151539 | − | 0.140607i | ||||
\(598\) | −70331.1 | + | 56087.2i | −0.196673 | + | 0.156842i | ||||
\(599\) | −328500. | − | 223967.i | −0.915548 | − | 0.624210i | 0.0111822 | − | 0.999937i | \(-0.496441\pi\) |
−0.926730 | + | 0.375727i | \(0.877393\pi\) | |||||||
\(600\) | −397960. | − | 191647.i | −1.10544 | − | 0.532354i | ||||
\(601\) | 153448.i | 0.424827i | 0.977180 | + | 0.212414i | \(0.0681324\pi\) | ||||
−0.977180 | + | 0.212414i | \(0.931868\pi\) | |||||||
\(602\) | −310328. | + | 171924.i | −0.856305 | + | 0.474400i | ||||
\(603\) | −435959. | −1.19898 | ||||||||
\(604\) | 69.1237 | − | 143.537i | 0.000189476 | − | 0.000393450i | ||||
\(605\) | 62812.2 | − | 92128.5i | 0.171606 | − | 0.251700i | ||||
\(606\) | −77269.3 | − | 96892.6i | −0.210408 | − | 0.263843i | ||||
\(607\) | −290302. | − | 312871.i | −0.787902 | − | 0.849157i | 0.203626 | − | 0.979049i | \(-0.434727\pi\) |
−0.991528 | + | 0.129892i | \(0.958537\pi\) | |||||||
\(608\) | −32000.3 | − | 55426.2i | −0.0865659 | − | 0.149937i | ||||
\(609\) | −238955. | − | 137960.i | −0.644289 | − | 0.371980i | ||||
\(610\) | −385386. | + | 87961.8i | −1.03570 | + | 0.236393i | ||||
\(611\) | 24302.4 | + | 61921.5i | 0.0650978 | + | 0.165867i | ||||
\(612\) | −25366.0 | + | 7824.39i | −0.0677251 | + | 0.0208904i | ||||
\(613\) | −100862. | + | 126477.i | −0.268415 | + | 0.336582i | −0.897712 | − | 0.440583i | \(-0.854772\pi\) |
0.629297 | + | 0.777165i | \(0.283343\pi\) | |||||||
\(614\) | −118307. | + | 8865.89i | −0.313815 | + | 0.0235172i | ||||
\(615\) | 493186. | + | 152128.i | 1.30395 | + | 0.402215i | ||||
\(616\) | −363085. | + | 247547.i | −0.956858 | + | 0.652375i | ||||
\(617\) | 187424. | − | 28249.6i | 0.492327 | − | 0.0742064i | 0.101814 | − | 0.994804i | \(-0.467535\pi\) |
0.390514 | + | 0.920597i | \(0.372297\pi\) | |||||||
\(618\) | −26128.6 | + | 114477.i | −0.0684131 | + | 0.299737i | ||||
\(619\) | 319229. | + | 296202.i | 0.833147 | + | 0.773047i | 0.976247 | − | 0.216661i | \(-0.0695166\pi\) |
−0.143100 | + | 0.989708i | \(0.545707\pi\) | |||||||
\(620\) | 85130.4 | + | 6379.64i | 0.221463 | + | 0.0165964i | ||||
\(621\) | −109210. | − | 42861.6i | −0.283190 | − | 0.111144i | ||||
\(622\) | 72168.3 | − | 478806.i | 0.186537 | − | 1.23760i | ||||
\(623\) | 82343.6 | − | 39654.6i | 0.212155 | − | 0.102169i | ||||
\(624\) | −59584.8 | − | 123729.i | −0.153026 | − | 0.317763i | ||||
\(625\) | −780878. | − | 117698.i | −1.99905 | − | 0.301308i | ||||
\(626\) | 43371.0 | − | 110507.i | 0.110675 | − | 0.281996i | ||||
\(627\) | 14828.4 | − | 197871.i | 0.0377189 | − | 0.503324i | ||||
\(628\) | −1637.70 | + | 1765.02i | −0.00415255 | + | 0.00447538i | ||||
\(629\) | 186533. | + | 42574.9i | 0.471469 | + | 0.107610i | ||||
\(630\) | −77918.2 | − | 516953.i | −0.196317 | − | 1.30248i | ||||
\(631\) | 174160. | + | 255446.i | 0.437411 | + | 0.641564i | 0.980131 | − | 0.198350i | \(-0.0635582\pi\) |
−0.542721 | + | 0.839913i | \(0.682606\pi\) | |||||||
\(632\) | 26599.5 | − | 86233.5i | 0.0665947 | − | 0.215895i | ||||
\(633\) | 21754.1 | + | 290288.i | 0.0542917 | + | 0.724472i | ||||
\(634\) | −208406. | − | 166199.i | −0.518481 | − | 0.413475i | ||||
\(635\) | −153435. | − | 497423.i | −0.380519 | − | 1.23361i | ||||
\(636\) | −22773.9 | + | 8938.12i | −0.0563020 | + | 0.0220969i | ||||
\(637\) | −4093.13 | − | 17933.2i | −0.0100873 | − | 0.0441955i | ||||
\(638\) | −296491. | + | 513537.i | −0.728399 | + | 1.26162i | ||||
\(639\) | −306971. | + | 177230.i | −0.751788 | + | 0.434045i | ||||
\(640\) | 455841. | − | 422959.i | 1.11289 | − | 1.03261i | ||||
\(641\) | 449263. | − | 358275.i | 1.09341 | − | 0.871968i | 0.100996 | − | 0.994887i | \(-0.467797\pi\) |
0.992417 | + | 0.122919i | \(0.0392255\pi\) | |||||||
\(642\) | 200378. | + | 136615.i | 0.486160 | + | 0.331458i | ||||
\(643\) | 436850. | + | 210376.i | 1.05660 | + | 0.508832i | 0.879765 | − | 0.475408i | \(-0.157700\pi\) |
0.176835 | + | 0.984240i | \(0.443414\pi\) | |||||||
\(644\) | − | 13877.3i | − | 0.0334606i | ||||||
\(645\) | −385454. | + | 22039.7i | −0.926516 | + | 0.0529767i | ||||
\(646\) | −367115. | −0.879705 | ||||||||
\(647\) | −77027.0 | + | 159948.i | −0.184007 | + | 0.382094i | −0.972484 | − | 0.232970i | \(-0.925156\pi\) |
0.788477 | + | 0.615064i | \(0.210870\pi\) | |||||||
\(648\) | −70684.9 | + | 103676.i | −0.168336 | + | 0.246903i | ||||
\(649\) | 111241. | + | 139492.i | 0.264104 | + | 0.331176i | ||||
\(650\) | −486941. | − | 524797.i | −1.15252 | − | 1.24212i | ||||
\(651\) | −143150. | − | 247943.i | −0.337776 | − | 0.585046i | ||||
\(652\) | −42284.8 | − | 24413.1i | −0.0994693 | − | 0.0574286i | ||||
\(653\) | 319975. | − | 73032.3i | 0.750395 | − | 0.171273i | 0.169815 | − | 0.985476i | \(-0.445683\pi\) |
0.580580 | + | 0.814203i | \(0.302826\pi\) | |||||||
\(654\) | 43981.0 | + | 112062.i | 0.102828 | + | 0.262000i | ||||
\(655\) | −103073. | + | 31793.7i | −0.240248 | + | 0.0741068i | ||||
\(656\) | −353541. | + | 443327.i | −0.821547 | + | 1.03019i | ||||
\(657\) | 348968. | − | 26151.5i | 0.808452 | − | 0.0605851i | ||||
\(658\) | 93549.4 | + | 28856.2i | 0.216067 | + | 0.0666480i | ||||
\(659\) | 460395. | − | 313892.i | 1.06013 | − | 0.722786i | 0.0979498 | − | 0.995191i | \(-0.468772\pi\) |
0.962183 | + | 0.272405i | \(0.0878192\pi\) | |||||||
\(660\) | −40977.7 | + | 6176.40i | −0.0940719 | + | 0.0141791i | ||||
\(661\) | −76232.1 | + | 333995.i | −0.174476 | + | 0.764428i | 0.809644 | + | 0.586921i | \(0.199660\pi\) |
−0.984120 | + | 0.177507i | \(0.943197\pi\) | |||||||
\(662\) | −279488. | − | 259327.i | −0.637745 | − | 0.591741i | ||||
\(663\) | 174224. | + | 13056.3i | 0.396351 | + | 0.0297024i | ||||
\(664\) | −209957. | − | 82401.9i | −0.476205 | − | 0.186897i | ||||
\(665\) | −112953. | + | 749392.i | −0.255419 | + | 1.69460i | ||||
\(666\) | 134674. | − | 64855.6i | 0.303623 | − | 0.146217i | ||||
\(667\) | −93762.3 | − | 194700.i | −0.210754 | − | 0.437636i | ||||
\(668\) | −2405.76 | − | 362.610i | −0.00539138 | − | 0.000812620i | ||||
\(669\) | 20137.1 | − | 51308.4i | 0.0449929 | − | 0.114640i | ||||
\(670\) | −94098.2 | + | 1.25565e6i | −0.209620 | + | 2.79718i | ||||
\(671\) | −203125. | + | 218917.i | −0.451148 | + | 0.486222i | ||||
\(672\) | 43702.3 | + | 9974.77i | 0.0967756 | + | 0.0220884i | ||||
\(673\) | 62921.9 | + | 417460.i | 0.138922 | + | 0.921689i | 0.944338 | + | 0.328978i | \(0.106704\pi\) |
−0.805415 | + | 0.592711i | \(0.798058\pi\) | |||||||
\(674\) | 316295. | + | 463920.i | 0.696262 | + | 1.02123i | ||||
\(675\) | 275204. | − | 892188.i | 0.604013 | − | 1.95816i | ||||
\(676\) | −1311.85 | − | 17505.5i | −0.00287073 | − | 0.0383072i | ||||
\(677\) | 258109. | + | 205835.i | 0.563152 | + | 0.449099i | 0.863226 | − | 0.504817i | \(-0.168440\pi\) |
−0.300074 | + | 0.953916i | \(0.597011\pi\) | |||||||
\(678\) | 115665. | + | 374976.i | 0.251618 | + | 0.815725i | ||||
\(679\) | 510787. | − | 200469.i | 1.10790 | − | 0.434819i | ||||
\(680\) | 196885. | + | 862608.i | 0.425789 | + | 1.86550i | ||||
\(681\) | 78919.9 | − | 136693.i | 0.170174 | − | 0.294749i | ||||
\(682\) | −532854. | + | 307643.i | −1.14562 | + | 0.661422i | ||||
\(683\) | −21624.1 | + | 20064.3i | −0.0463551 | + | 0.0430112i | −0.703010 | − | 0.711180i | \(-0.748161\pi\) |
0.656655 | + | 0.754191i | \(0.271971\pi\) | |||||||
\(684\) | 23504.5 | − | 18744.2i | 0.0502388 | − | 0.0400641i | ||||
\(685\) | 66438.1 | + | 45296.7i | 0.141591 | + | 0.0965352i | ||||
\(686\) | 390670. | + | 188137.i | 0.830161 | + | 0.399784i | ||||
\(687\) | 179318.i | 0.379936i | ||||||||
\(688\) | 132175. | − | 403056.i | 0.279238 | − | 0.851507i | ||||
\(689\) | −457601. | −0.963936 | ||||||||
\(690\) | −62512.8 | + | 129809.i | −0.131302 | + | 0.272651i | ||||
\(691\) | −165074. | + | 242119.i | −0.345718 | + | 0.507076i | −0.959236 | − | 0.282605i | \(-0.908801\pi\) |
0.613518 | + | 0.789681i | \(0.289754\pi\) | |||||||
\(692\) | 37192.7 | + | 46638.2i | 0.0776687 | + | 0.0973934i | ||||
\(693\) | −268640. | − | 289525.i | −0.559376 | − | 0.602864i | ||||
\(694\) | −206520. | − | 357703.i | −0.428788 | − | 0.742683i | ||||
\(695\) | −802793. | − | 463493.i | −1.66201 | − | 0.959563i | ||||
\(696\) | 355681. | − | 81181.8i | 0.734247 | − | 0.167587i | ||||
\(697\) | −263555. | − | 671526.i | −0.542507 | − | 1.38228i | ||||
\(698\) | 764167. | − | 235714.i | 1.56847 | − | 0.483810i | ||||
\(699\) | 235592. | − | 295423.i | 0.482177 | − | 0.604630i | ||||
\(700\) | 110132. | − | 8253.23i | 0.224758 | − | 0.0168433i | ||||
\(701\) | −574451. | − | 177195.i | −1.16901 | − | 0.360591i | −0.351320 | − | 0.936255i | \(-0.614267\pi\) |
−0.817686 | + | 0.575665i | \(0.804743\pi\) | |||||||
\(702\) | 265238. | − | 180836.i | 0.538222 | − | 0.366954i | ||||
\(703\) | −214266. | + | 32295.5i | −0.433554 | + | 0.0653478i | ||||
\(704\) | 128221. | − | 561773.i | 0.258711 | − | 1.13348i | ||||
\(705\) | 78099.1 | + | 72465.4i | 0.157133 | + | 0.145798i | ||||
\(706\) | 767152. | + | 57490.1i | 1.53912 | + | 0.115341i | ||||
\(707\) | 332873. | + | 130643.i | 0.665947 | + | 0.261365i | ||||
\(708\) | 1417.69 | − | 9405.73i | 0.00282822 | − | 0.0187640i | ||||
\(709\) | −141885. | + | 68328.1i | −0.282256 | + | 0.135927i | −0.569656 | − | 0.821883i | \(-0.692924\pi\) |
0.287400 | + | 0.957811i | \(0.407209\pi\) | |||||||
\(710\) | 444202. | + | 922395.i | 0.881178 | + | 1.82979i | ||||
\(711\) | 80201.4 | + | 12088.4i | 0.158651 | + | 0.0239128i | ||||
\(712\) | −44149.1 | + | 112490.i | −0.0870887 | + | 0.221898i | ||||
\(713\) | 16756.7 | − | 223602.i | 0.0329616 | − | 0.439842i | ||||
\(714\) | 174892. | − | 188489.i | 0.343062 | − | 0.369733i | ||||
\(715\) | −755679. | − | 172479.i | −1.47817 | − | 0.337383i | ||||
\(716\) | −11021.8 | − | 73125.2i | −0.0214995 | − | 0.142640i | ||||
\(717\) | −121299. | − | 177914.i | −0.235950 | − | 0.346075i | ||||
\(718\) | 7305.99 | − | 23685.5i | 0.0141720 | − | 0.0459444i | ||||
\(719\) | 24085.4 | + | 321398.i | 0.0465904 | + | 0.621706i | 0.970811 | + | 0.239846i | \(0.0770971\pi\) |
−0.924220 | + | 0.381859i | \(0.875284\pi\) | |||||||
\(720\) | 488698. | + | 389724.i | 0.942704 | + | 0.751782i | ||||
\(721\) | −99865.9 | − | 323757.i | −0.192109 | − | 0.622801i | ||||
\(722\) | −74628.8 | + | 29289.6i | −0.143163 | + | 0.0561875i | ||||
\(723\) | −23805.5 | − | 104299.i | −0.0455408 | − | 0.199527i | ||||
\(724\) | −12057.5 | + | 20884.2i | −0.0230028 | + | 0.0398420i | ||||
\(725\) | 1.48939e6 | − | 859899.i | 2.83356 | − | 1.63596i | ||||
\(726\) | 31407.7 | − | 29142.0i | 0.0595885 | − | 0.0552900i | ||||
\(727\) | 573584. | − | 457418.i | 1.08525 | − | 0.865455i | 0.0937506 | − | 0.995596i | \(-0.470114\pi\) |
0.991496 | + | 0.130141i | \(0.0415429\pi\) | |||||||
\(728\) | 362062. | + | 246850.i | 0.683157 | + | 0.465768i | ||||
\(729\) | 115212. | + | 55483.0i | 0.216791 | + | 0.104401i | ||||
\(730\) | − | 1.01075e6i | − | 1.89669i | ||||||
\(731\) | 359998. | + | 402015.i | 0.673698 | + | 0.752328i | ||||
\(732\) | 15921.4 | 0.0297138 | ||||||||
\(733\) | 256978. | − | 533619.i | 0.478285 | − | 0.993170i | −0.512621 | − | 0.858615i | \(-0.671325\pi\) |
0.990906 | − | 0.134555i | \(-0.0429604\pi\) | |||||||
\(734\) | 34375.6 | − | 50419.8i | 0.0638055 | − | 0.0935855i | ||||
\(735\) | −18368.5 | − | 23033.4i | −0.0340016 | − | 0.0426367i | ||||
\(736\) | 23879.3 | + | 25735.8i | 0.0440825 | + | 0.0475096i | ||||
\(737\) | 475639. | + | 823831.i | 0.875674 | + | 1.51671i | ||||
\(738\) | −488084. | − | 281795.i | −0.896152 | − | 0.517393i | ||||
\(739\) | −540311. | + | 123323.i | −0.989362 | + | 0.225815i | −0.686429 | − | 0.727196i | \(-0.740823\pi\) |
−0.302933 | + | 0.953012i | \(0.597966\pi\) | |||||||
\(740\) | 16533.2 | + | 42126.0i | 0.0301922 | + | 0.0769284i | ||||
\(741\) | −189076. | + | 58322.3i | −0.344350 | + | 0.106218i | ||||
\(742\) | −419897. | + | 526534.i | −0.762667 | + | 0.956354i | ||||
\(743\) | −337216. | + | 25270.8i | −0.610844 | + | 0.0457765i | −0.376561 | − | 0.926392i | \(-0.622893\pi\) |
−0.234283 | + | 0.972168i | \(0.575274\pi\) | |||||||
\(744\) | 361733. | + | 111580.i | 0.653495 | + | 0.201577i | ||||
\(745\) | −1.07653e6 | + | 733968.i | −1.93961 | + | 1.32241i | ||||
\(746\) | −683642. | + | 103042.i | −1.22843 | + | 0.185156i | ||||
\(747\) | 45108.4 | − | 197633.i | 0.0808381 | − | 0.354175i | ||||
\(748\) | 42460.6 | + | 39397.7i | 0.0758897 | + | 0.0704153i | ||||
\(749\) | −697811. | − | 52293.7i | −1.24387 | − | 0.0932151i | ||||
\(750\) | −605049. | − | 237464.i | −1.07564 | − | 0.422158i | ||||
\(751\) | −13009.7 | + | 86313.9i | −0.0230668 | + | 0.153039i | −0.997399 | − | 0.0720761i | \(-0.977038\pi\) |
0.974332 | + | 0.225115i | \(0.0722757\pi\) | |||||||
\(752\) | −105459. | + | 50786.5i | −0.186487 | + | 0.0898076i | ||||
\(753\) | −59625.9 | − | 123814.i | −0.105159 | − | 0.218364i | ||||
\(754\) | 584706. | + | 88130.2i | 1.02848 | + | 0.155018i | ||||
\(755\) | 1743.62 | − | 4442.67i | 0.00305885 | − | 0.00779382i | ||||
\(756\) | −3700.81 | + | 49383.9i | −0.00647521 | + | 0.0864056i | ||||
\(757\) | 305538. | − | 329291.i | 0.533179 | − | 0.574630i | −0.407810 | − | 0.913067i | \(-0.633708\pi\) |
0.940989 | + | 0.338436i | \(0.109898\pi\) | |||||||
\(758\) | 948975. | + | 216597.i | 1.65164 | + | 0.376977i | ||||
\(759\) | 16222.8 | + | 107631.i | 0.0281607 | + | 0.186834i | ||||
\(760\) | −564476. | − | 827935.i | −0.977279 | − | 1.43341i | ||||
\(761\) | −118694. | + | 384796.i | −0.204955 | + | 0.664448i | 0.793484 | + | 0.608592i | \(0.208265\pi\) |
−0.998439 | + | 0.0558568i | \(0.982211\pi\) | |||||||
\(762\) | −14947.6 | − | 199461.i | −0.0257431 | − | 0.343517i | ||||
\(763\) | −271575. | − | 216574.i | −0.466489 | − | 0.372012i | ||||
\(764\) | −27584.0 | − | 89425.2i | −0.0472575 | − | 0.153205i | ||||
\(765\) | −740252. | + | 290527.i | −1.26490 | + | 0.496437i | ||||
\(766\) | −56050.1 | − | 245572.i | −0.0955255 | − | 0.418524i | ||||
\(767\) | 88956.9 | − | 154078.i | 0.151213 | − | 0.261908i | ||||
\(768\) | −73485.9 | + | 42427.1i | −0.124590 | + | 0.0719319i | ||||
\(769\) | −662546. | + | 614753.i | −1.12037 | + | 1.03956i | −0.121478 | + | 0.992594i | \(0.538763\pi\) |
−0.998897 | + | 0.0469613i | \(0.985046\pi\) | |||||||
\(770\) | −891876. | + | 711248.i | −1.50426 | + | 1.19961i | ||||
\(771\) | −13940.8 | − | 9504.65i | −0.0234519 | − | 0.0159892i | ||||
\(772\) | 14085.5 | + | 6783.21i | 0.0236340 | + | 0.0113815i | ||||
\(773\) | − | 655311.i | − | 1.09670i | −0.836249 | − | 0.548351i | \(-0.815256\pi\) | ||
0.836249 | − | 0.548351i | \(-0.184744\pi\) | |||||||
\(774\) | 415712. | + | 70197.7i | 0.693922 | + | 0.117177i | ||||
\(775\) | 1.78449e6 | 2.97106 | ||||||||
\(776\) | −314794. | + | 653676.i | −0.522760 | + | 1.08552i | ||||
\(777\) | 85493.9 | − | 125396.i | 0.141610 | − | 0.207703i | ||||
\(778\) | −259437. | − | 325324.i | −0.428620 | − | 0.537473i | ||||
\(779\) | 555701. | + | 598903.i | 0.915727 | + | 0.986919i | ||||
\(780\) | 20661.9 | + | 35787.5i | 0.0339610 | + | 0.0588223i | ||||
\(781\) | 669822. | + | 386722.i | 1.09814 | + | 0.634011i | ||||
\(782\) | 196333. | − | 44811.7i | 0.321055 | − | 0.0732787i | ||||
\(783\) | 281741. | + | 717863.i | 0.459543 | + | 1.17090i | ||||
\(784\) | 30929.5 | − | 9540.48i | 0.0503200 | − | 0.0155217i | ||||
\(785\) | −44972.2 | + | 56393.3i | −0.0729801 | + | 0.0915142i | ||||
\(786\) | −41331.0 | + | 3097.33i | −0.0669007 | + | 0.00501351i | ||||
\(787\) | 650491. | + | 200650.i | 1.05025 | + | 0.323959i | 0.771383 | − | 0.636372i | \(-0.219565\pi\) |
0.278865 | + | 0.960330i | \(0.410042\pi\) | |||||||
\(788\) | −88380.8 | + | 60257.0i | −0.142333 | + | 0.0970410i | ||||
\(789\) | 348808. | − | 52574.4i | 0.560316 | − | 0.0844540i | ||||
\(790\) | 52128.0 | − | 228388.i | 0.0835251 | − | 0.365948i | ||||
\(791\) | −830012. | − | 770139.i | −1.32657 | − | 1.23088i | ||||
\(792\) | 520761. | + | 39025.6i | 0.830210 | + | 0.0622156i | ||||
\(793\) | 277211. | + | 108797.i | 0.440822 | + | 0.173010i | ||||
\(794\) | 129637. | − | 860084.i | 0.205630 | − | 1.36427i | ||||
\(795\) | −660324. | + | 317995.i | −1.04478 | + | 0.503137i | ||||
\(796\) | −10568.5 | − | 21945.7i | −0.0166797 | − | 0.0346357i | ||||
\(797\) | 13615.5 | + | 2052.20i | 0.0214346 | + | 0.00323075i | 0.159751 | − | 0.987157i | \(-0.448931\pi\) |
−0.138316 | + | 0.990388i | \(0.544169\pi\) | |||||||
\(798\) | −106389. | + | 271076.i | −0.167068 | + | 0.425681i | ||||
\(799\) | 11128.4 | − | 148498.i | 0.0174317 | − | 0.232609i | ||||
\(800\) | −190040. | + | 204814.i | −0.296937 | + | 0.320022i | ||||
\(801\) | −105887. | − | 24168.1i | −0.165036 | − | 0.0376684i | ||||
\(802\) | 12200.6 | + | 80945.7i | 0.0189685 | + | 0.125848i | ||||
\(803\) | −430149. | − | 630912.i | −0.667095 | − | 0.978448i | ||||
\(804\) | 14948.7 | − | 48462.6i | 0.0231256 | − | 0.0749712i | ||||
\(805\) | −31067.1 | − | 414562.i | −0.0479412 | − | 0.639732i | ||||
\(806\) | 479695. | + | 382544.i | 0.738406 | + | 0.588859i | ||||
\(807\) | 73756.6 | + | 239113.i | 0.113254 | + | 0.367160i | ||||
\(808\) | −440131. | + | 172739.i | −0.674154 | + | 0.264586i | ||||
\(809\) | −253753. | − | 1.11176e6i | −0.387716 | − | 1.69870i | −0.672494 | − | 0.740102i | \(-0.734777\pi\) |
0.284778 | − | 0.958593i | \(-0.408080\pi\) | |||||||
\(810\) | −162866. | + | 282092.i | −0.248233 | + | 0.429952i | ||||
\(811\) | 333953. | − | 192808.i | 0.507743 | − | 0.293145i | −0.224163 | − | 0.974552i | \(-0.571965\pi\) |
0.731905 | + | 0.681406i | \(0.238631\pi\) | |||||||
\(812\) | −66868.5 | + | 62044.9i | −0.101417 | + | 0.0941009i | ||||
\(813\) | −258227. | + | 205929.i | −0.390679 | + | 0.311556i | ||||
\(814\) | −269489. | − | 183735.i | −0.406718 | − | 0.277295i | ||||
\(815\) | −1.31784e6 | − | 634639.i | −1.98403 | − | 0.955458i | ||||
\(816\) | 307431.i | 0.461708i | ||||||||
\(817\) | −545862. | − | 274868.i | −0.817784 | − | 0.411794i | ||||
\(818\) | −322425. | −0.481861 | ||||||||
\(819\) | −170883. | + | 354842.i | −0.254760 | + | 0.529014i | ||||
\(820\) | 96117.8 | − | 140979.i | 0.142947 | − | 0.209665i | ||||
\(821\) | 765819. | + | 960306.i | 1.13616 | + | 1.42470i | 0.890288 | + | 0.455398i | \(0.150503\pi\) |
0.245873 | + | 0.969302i | \(0.420926\pi\) | |||||||
\(822\) | 21015.7 | + | 22649.5i | 0.0311028 | + | 0.0335208i | ||||
\(823\) | 312324. | + | 540961.i | 0.461111 | + | 0.798668i | 0.999017 | − | 0.0443372i | \(-0.0141176\pi\) |
−0.537905 | + | 0.843005i | \(0.680784\pi\) | |||||||
\(824\) | 387962. | + | 223990.i | 0.571393 | + | 0.329894i | ||||
\(825\) | −844524. | + | 192757.i | −1.24081 | + | 0.283206i | ||||
\(826\) | −95660.9 | − | 243740.i | −0.140209 | − | 0.357246i | ||||
\(827\) | −830758. | + | 256255.i | −1.21468 | + | 0.374681i | −0.834904 | − | 0.550396i | \(-0.814477\pi\) |
−0.379781 | + | 0.925077i | \(0.624001\pi\) | |||||||
\(828\) | −10282.2 | + | 12893.5i | −0.0149977 | + | 0.0188066i | ||||
\(829\) | 775485. | − | 58114.6i | 1.12840 | − | 0.0845622i | 0.502583 | − | 0.864529i | \(-0.332383\pi\) |
0.625821 | + | 0.779967i | \(0.284764\pi\) | |||||||
\(830\) | −559488. | − | 172579.i | −0.812147 | − | 0.250514i | ||||
\(831\) | −136539. | + | 93090.6i | −0.197722 | + | 0.134804i | ||||
\(832\) | −568179. | + | 85639.2i | −0.820802 | + | 0.123716i | ||||
\(833\) | −9163.07 | + | 40146.1i | −0.0132054 | + | 0.0578566i | ||||
\(834\) | −261108. | − | 242273.i | −0.375395 | − | 0.348315i | ||||
\(835\) | −72679.9 | − | 5446.61i | −0.104242 | − | 0.00781184i | ||||
\(836\) | −61064.9 | − | 23966.2i | −0.0873733 | − | 0.0342915i | ||||
\(837\) | −119261. | + | 791243.i | −0.170234 | + | 1.12943i | ||||
\(838\) | −558369. | + | 268897.i | −0.795122 | + | 0.382910i | ||||
\(839\) | −460164. | − | 955540.i | −0.653715 | − | 1.35745i | −0.919374 | − | 0.393386i | \(-0.871304\pi\) |
0.265659 | − | 0.964067i | \(-0.414411\pi\) | |||||||
\(840\) | 694002. | + | 104604.i | 0.983562 | + | 0.148248i | ||||
\(841\) | −260562. | + | 663901.i | −0.368399 | + | 0.938666i | ||||
\(842\) | 60401.9 | − | 806007.i | 0.0851974 | − | 1.13688i | ||||
\(843\) | −215657. | + | 232423.i | −0.303464 | + | 0.327057i | ||||
\(844\) | 93825.2 | + | 21415.0i | 0.131715 | + | 0.0300631i | ||||
\(845\) | −78378.9 | − | 520010.i | −0.109771 | − | 0.728280i | ||||
\(846\) | −65536.5 | − | 96124.4i | −0.0915678 | − | 0.134305i | ||||
\(847\) | −36439.5 | + | 118134.i | −0.0507932 | + | 0.164668i | ||||
\(848\) | −60173.7 | − | 802962.i | −0.0836787 | − | 1.11661i | ||||
\(849\) | −176561. | − | 140803.i | −0.244951 | − | 0.195342i | ||||
\(850\) | 472394. | + | 1.53146e6i | 0.653833 | + | 2.11967i | ||||
\(851\) | 110647. | − | 43425.9i | 0.152785 | − | 0.0599639i | ||||
\(852\) | −9175.61 | − | 40201.0i | −0.0126403 | − | 0.0553806i | ||||
\(853\) | 207201. | − | 358882.i | 0.284770 | − | 0.493235i | −0.687784 | − | 0.725916i | \(-0.741416\pi\) |
0.972553 | + | 0.232680i | \(0.0747496\pi\) | |||||||
\(854\) | 379556. | − | 219137.i | 0.520428 | − | 0.300469i | ||||
\(855\) | 660196. | − | 612573.i | 0.903110 | − | 0.837964i | ||||
\(856\) | 723387. | − | 576882.i | 0.987241 | − | 0.787298i | ||||
\(857\) | 354874. | + | 241949.i | 0.483184 | + | 0.329430i | 0.780293 | − | 0.625414i | \(-0.215070\pi\) |
−0.297109 | + | 0.954844i | \(0.596022\pi\) | |||||||
\(858\) | −268341. | − | 129226.i | −0.364513 | − | 0.175540i | ||||
\(859\) | 736032.i | 0.997495i | 0.866747 | + | 0.498747i | \(0.166206\pi\) | ||||
−0.866747 | + | 0.498747i | \(0.833794\pi\) | |||||||
\(860\) | −30598.3 | + | 123917.i | −0.0413714 | + | 0.167546i | ||||
\(861\) | −572229. | −0.771904 | ||||||||
\(862\) | 422473. | − | 877275.i | 0.568571 | − | 1.18065i | ||||
\(863\) | −532686. | + | 781306.i | −0.715236 | + | 1.04906i | 0.280770 | + | 0.959775i | \(0.409410\pi\) |
−0.996006 | + | 0.0892837i | \(0.971542\pi\) | |||||||
\(864\) | −78113.8 | − | 97951.6i | −0.104641 | − | 0.131215i | ||||
\(865\) | 1.21548e6 | + | 1.30998e6i | 1.62448 | + | 1.75078i | ||||
\(866\) | −509876. | − | 883131.i | −0.679875 | − | 1.17758i | ||||
\(867\) | −6597.71 | − | 3809.19i | −0.00877718 | − | 0.00506750i | ||||
\(868\) | −92277.5 | + | 21061.7i | −0.122478 | + | 0.0279547i | ||||
\(869\) | −64657.8 | − | 164745.i | −0.0856212 | − | 0.218159i | ||||
\(870\) | 904982. | − | 279150.i | 1.19564 | − | 0.368807i | ||||
\(871\) | 591441. | − | 741643.i | 0.779606 | − | 0.977595i | ||||
\(872\) | 457999. | − | 34322.3i | 0.602326 | − | 0.0451381i | ||||
\(873\) | −623109. | − | 192204.i | −0.817590 | − | 0.252193i | ||||
\(874\) | −188441. | + | 128477.i | −0.246691 | + | 0.168191i | ||||
\(875\) | 1.85452e6 | − | 279524.i | 2.42223 | − | 0.365093i | ||||
\(876\) | −9058.78 | + | 39689.1i | −0.0118049 | + | 0.0517206i | ||||
\(877\) | −401815. | − | 372830.i | −0.522428 | − | 0.484743i | 0.374310 | − | 0.927304i | \(-0.377880\pi\) |
−0.896738 | + | 0.442561i | \(0.854070\pi\) | |||||||
\(878\) | −211582. | − | 15855.9i | −0.274467 | − | 0.0205685i | ||||
\(879\) | −277789. | − | 109024.i | −0.359532 | − | 0.141106i | ||||
\(880\) | 203282. | − | 1.34869e6i | 0.262503 | − | 1.74159i | ||||
\(881\) | 1.17096e6 | − | 563907.i | 1.50866 | − | 0.726533i | 0.517070 | − | 0.855943i | \(-0.327023\pi\) |
0.991591 | + | 0.129410i | \(0.0413083\pi\) | |||||||
\(882\) | 13958.4 | + | 28984.9i | 0.0179431 | + | 0.0372593i | ||||
\(883\) | 769593. | + | 115997.i | 0.987051 | + | 0.148774i | 0.622677 | − | 0.782479i | \(-0.286045\pi\) |
0.364374 | + | 0.931253i | \(0.381283\pi\) | |||||||
\(884\) | 21102.0 | − | 53767.1i | 0.0270035 | − | 0.0688037i | ||||
\(885\) | 21294.4 | − | 284154.i | 0.0271881 | − | 0.362800i | ||||
\(886\) | −251153. | + | 270679.i | −0.319942 | + | 0.344816i | ||||
\(887\) | −1.26919e6 | − | 289683.i | −1.61316 | − | 0.368194i | −0.681585 | − | 0.731739i | \(-0.738709\pi\) |
−0.931577 | + | 0.363545i | \(0.881566\pi\) | |||||||
\(888\) | 29908.4 | + | 198429.i | 0.0379286 | + | 0.251640i | ||||
\(889\) | 325118. | + | 476860.i | 0.411374 | + | 0.603375i | ||||
\(890\) | −92464.0 | + | 299761.i | −0.116733 | + | 0.378438i | ||||
\(891\) | 18389.8 | + | 245395.i | 0.0231644 | + | 0.309108i | ||||
\(892\) | −14246.7 | − | 11361.3i | −0.0179054 | − | 0.0142791i | ||||
\(893\) | 49710.4 | + | 161157.i | 0.0623368 | + | 0.202091i | ||||
\(894\) | −466042. | + | 182908.i | −0.583109 | + | 0.228854i | ||||
\(895\) | −492965. | − | 2.15982e6i | −0.615417 | − | 2.69632i | ||||
\(896\) | −344724. | + | 597079.i | −0.429393 | + | 0.743731i | ||||
\(897\) | 93998.7 | − | 54270.2i | 0.116825 | − | 0.0674491i | ||||
\(898\) | −728570. | + | 676014.i | −0.903480 | + | 0.838307i | ||||
\(899\) | −1.15235e6 | + | 918971.i | −1.42583 | + | 1.13706i | ||||
\(900\) | −108439. | − | 73932.3i | −0.133875 | − | 0.0912745i | ||||
\(901\) | 922959. | + | 444474.i | 1.13693 | + | 0.547515i | ||||
\(902\) | 1.22978e6i | 1.51152i | ||||||||
\(903\) | 401172. | − | 149317.i | 0.491989 | − | 0.183119i | ||||
\(904\) | 1.49711e6 | 1.83196 | ||||||||
\(905\) | −313444. | + | 650874.i | −0.382704 | + | 0.794694i | ||||
\(906\) | 1033.05 | − | 1515.21i | 0.00125853 | − | 0.00184593i | ||||
\(907\) | 627574. | + | 786953.i | 0.762870 | + | 0.956609i | 0.999889 | − | 0.0148961i | \(-0.00474177\pi\) |
−0.237019 | + | 0.971505i | \(0.576170\pi\) | |||||||
\(908\) | −35492.6 | − | 38251.9i | −0.0430493 | − | 0.0463961i | ||||
\(909\) | −212475. | − | 368018.i | −0.257147 | − | 0.445391i | ||||
\(910\) | 985137. | + | 568769.i | 1.18963 | + | 0.686836i | ||||
\(911\) | 811055. | − | 185118.i | 0.977268 | − | 0.223055i | 0.296079 | − | 0.955163i | \(-0.404321\pi\) |
0.681188 | + | 0.732108i | \(0.261464\pi\) | |||||||
\(912\) | −127203. | − | 324107.i | −0.152935 | − | 0.389672i | ||||
\(913\) | −422681. | + | 130380.i | −0.507074 | + | 0.156412i | ||||
\(914\) | −126184. | + | 158230.i | −0.151047 | + | 0.189407i | ||||
\(915\) | 475624. | − | 35643.1i | 0.568096 | − | 0.0425729i | ||||
\(916\) | 56648.6 | + | 17473.8i | 0.0675147 | + | 0.0208255i | ||||
\(917\) | 98811.5 | − | 67368.6i | 0.117508 | − | 0.0801159i | ||||
\(918\) | −710622. | + | 107109.i | −0.843244 | + | 0.127099i | ||||
\(919\) | 3468.95 | − | 15198.5i | 0.00410740 | − | 0.0179957i | −0.972833 | − | 0.231509i | \(-0.925634\pi\) |
0.976940 | + | 0.213514i | \(0.0684908\pi\) | |||||||
\(920\) | 402943. | + | 373876.i | 0.476067 | + | 0.441725i | ||||
\(921\) | 142747. | + | 10697.4i | 0.168286 | + | 0.0126113i | ||||
\(922\) | −872095. | − | 342272.i | −1.02589 | − | 0.402633i | ||||
\(923\) | 114951. | − | 762650.i | 0.134930 | − | 0.895203i | ||||
\(924\) | 41396.0 | − | 19935.3i | 0.0484858 | − | 0.0233495i | ||||
\(925\) | 410437. | + | 852280.i | 0.479692 | + | 0.996091i | ||||
\(926\) | 150333. | + | 22659.1i | 0.175321 | + | 0.0264253i | ||||
\(927\) | −147097. | + | 374798.i | −0.171177 | + | 0.436152i | ||||
\(928\) | 17245.6 | − | 230127.i | 0.0200255 | − | 0.267221i | ||||
\(929\) | −112799. | + | 121569.i | −0.130700 | + | 0.140861i | −0.795010 | − | 0.606596i | \(-0.792535\pi\) |
0.664311 | + | 0.747457i | \(0.268725\pi\) | |||||||
\(930\) | 958044. | + | 218667.i | 1.10769 | + | 0.252824i | ||||
\(931\) | −6950.71 | − | 46115.0i | −0.00801918 | − | 0.0532038i | ||||
\(932\) | −70370.1 | − | 103214.i | −0.0810133 | − | 0.118825i | ||||
\(933\) | −172209. | + | 558288.i | −0.197830 | + | 0.641349i | ||||
\(934\) | 120634. | + | 1.60975e6i | 0.138286 | + | 1.84529i | ||||
\(935\) | 1.35664e6 | + | 1.08188e6i | 1.55182 | + | 1.23753i | ||||
\(936\) | −153494. | − | 497614.i | −0.175202 | − | 0.567990i | ||||
\(937\) | −1.05460e6 | + | 413902.i | −1.20119 | + | 0.471431i | −0.879721 | − | 0.475490i | \(-0.842271\pi\) |
−0.321465 | + | 0.946921i | \(0.604175\pi\) | |||||||
\(938\) | −310656. | − | 1.36107e6i | −0.353081 | − | 1.54695i | ||||
\(939\) | −71618.9 | + | 124048.i | −0.0812263 | + | 0.140688i | ||||
\(940\) | 30503.1 | − | 17611.0i | 0.0345214 | − | 0.0199309i | ||||
\(941\) | 876618. | − | 813383.i | 0.989991 | − | 0.918577i | −0.00669085 | − | 0.999978i | \(-0.502130\pi\) |
0.996681 | + | 0.0814006i | \(0.0259393\pi\) | |||||||
\(942\) | −21669.1 | + | 17280.5i | −0.0244196 | + | 0.0194740i | ||||
\(943\) | −370293. | − | 252461.i | −0.416411 | − | 0.283904i | ||||
\(944\) | 282062. | + | 135834.i | 0.316519 | + | 0.152428i | ||||
\(945\) | 1.48355e6i | 1.66126i | ||||||||
\(946\) | −320897. | − | 862158.i | −0.358578 | − | 0.963395i | ||||
\(947\) | 584035. | 0.651237 | 0.325619 | − | 0.945501i | \(-0.394427\pi\) | ||||
0.325619 | + | 0.945501i | \(0.394427\pi\) | |||||||
\(948\) | −4093.84 | + | 8500.95i | −0.00455527 | + | 0.00945912i | ||||
\(949\) | −428937. | + | 629134.i | −0.476278 | + | 0.698572i | ||||
\(950\) | −1.13168e6 | − | 1.41908e6i | −1.25393 | − | 1.57238i | ||||
\(951\) | 218763. | + | 235771.i | 0.241887 | + | 0.260692i | ||||
\(952\) | −490494. | − | 849561.i | −0.541203 | − | 0.937390i | ||||
\(953\) | −166592. | − | 96182.1i | −0.183429 | − | 0.105903i | 0.405473 | − | 0.914107i | \(-0.367107\pi\) |
−0.588903 | + | 0.808204i | \(0.700440\pi\) | |||||||
\(954\) | 780255. | − | 178088.i | 0.857314 | − | 0.195676i | ||||
\(955\) | −1.02422e6 | − | 2.60968e6i | −1.12302 | − | 2.86141i | ||||
\(956\) | −68025.1 | + | 20983.0i | −0.0744309 | + | 0.0229589i | ||||
\(957\) | 446095. | − | 559385.i | 0.487083 | − | 0.610783i | ||||
\(958\) | 163883. | − | 12281.3i | 0.178568 | − | 0.0133818i | ||||
\(959\) | −85191.8 | − | 26278.2i | −0.0926319 | − | 0.0285732i | ||||
\(960\) | −760378. | + | 518417.i | −0.825062 | + | 0.562518i | ||||
\(961\) | −599071. | + | 90295.4i | −0.648681 | + | 0.0977730i | ||||
\(962\) | −72373.8 | + | 317090.i | −0.0782044 | + | 0.342636i | ||||
\(963\) | 609593. | + | 565620.i | 0.657336 | + | 0.609919i | ||||
\(964\) | −35268.9 | − | 2643.04i | −0.0379523 | − | 0.00284413i | ||||
\(965\) | 435966. | + | 171104.i | 0.468164 | + | 0.183741i | ||||
\(966\) | 23808.2 | − | 157957.i | 0.0255137 | − | 0.169272i | ||||
\(967\) | 803607. | − | 386997.i | 0.859391 | − | 0.413861i | 0.0483365 | − | 0.998831i | \(-0.484608\pi\) |
0.811055 | + | 0.584970i | \(0.198894\pi\) | |||||||
\(968\) | −70923.1 | − | 147273.i | −0.0756897 | − | 0.157171i | ||||
\(969\) | 438007. | + | 66018.9i | 0.466481 | + | 0.0703106i | ||||
\(970\) | −688080. | + | 1.75320e6i | −0.731300 | + | 1.86332i | ||||
\(971\) | 94544.9 | − | 1.26161e6i | 0.100277 | − | 1.33810i | −0.689313 | − | 0.724464i | \(-0.742088\pi\) |
0.789590 | − | 0.613635i | \(-0.210293\pi\) | |||||||
\(972\) | 63037.6 | − | 67938.4i | 0.0667217 | − | 0.0719089i | ||||
\(973\) | 1.00200e6 | + | 228700.i | 1.05838 | + | 0.241569i | ||||
\(974\) | −19894.3 | − | 131990.i | −0.0209706 | − | 0.139131i | ||||
\(975\) | 486597. | + | 713706.i | 0.511870 | + | 0.750776i | ||||
\(976\) | −154456. | + | 500735.i | −0.162146 | + | 0.525664i | ||||
\(977\) | −32397.4 | − | 432313.i | −0.0339407 | − | 0.452907i | −0.988121 | − | 0.153676i | \(-0.950889\pi\) |
0.954181 | − | 0.299231i | \(-0.0967302\pi\) | |||||||
\(978\) | −439419. | − | 350425.i | −0.459411 | − | 0.366368i | ||||
\(979\) | 69854.5 | + | 226463.i | 0.0728835 | + | 0.236282i | ||||
\(980\) | −9066.46 | + | 3558.32i | −0.00944030 | + | 0.00370504i | ||||
\(981\) | 91854.2 | + | 402439.i | 0.0954467 | + | 0.418179i | ||||
\(982\) | 834211. | − | 1.44490e6i | 0.865073 | − | 1.49835i | ||||
\(983\) | −1.49513e6 | + | 863212.i | −1.54729 | + | 0.893327i | −0.548941 | + | 0.835861i | \(0.684969\pi\) |
−0.998347 | + | 0.0574661i | \(0.981698\pi\) | |||||||
\(984\) | 554635. | − | 514626.i | 0.572819 | − | 0.531498i | ||||
\(985\) | −2.50533e6 | + | 1.99794e6i | −2.58222 | + | 2.05925i | ||||
\(986\) | −1.09372e6 | − | 745687.i | −1.12500 | − | 0.767013i | ||||
\(987\) | −106425. | − | 51251.6i | −0.109247 | − | 0.0526106i | ||||
\(988\) | 65414.7i | 0.0670133i | ||||||||
\(989\) | 325478. | + | 80368.9i | 0.332759 | + | 0.0821666i | ||||
\(990\) | 1.35563e6 | 1.38316 | ||||||||
\(991\) | 317777. | − | 659871.i | 0.323575 | − | 0.671911i | −0.674202 | − | 0.738547i | \(-0.735512\pi\) |
0.997777 | + | 0.0666359i | \(0.0212266\pi\) | |||||||
\(992\) | 134889. | − | 197845.i | 0.137073 | − | 0.201049i | ||||
\(993\) | 286824. | + | 359665.i | 0.290882 | + | 0.364754i | ||||
\(994\) | −772056. | − | 832079.i | −0.781405 | − | 0.842154i | ||||
\(995\) | −364846. | − | 631932.i | −0.368522 | − | 0.638299i | ||||
\(996\) | 20422.8 | + | 11791.1i | 0.0205871 | + | 0.0118860i | ||||
\(997\) | 416413. | − | 95043.6i | 0.418923 | − | 0.0956165i | −0.00786297 | − | 0.999969i | \(-0.502503\pi\) |
0.426786 | + | 0.904353i | \(0.359646\pi\) | |||||||
\(998\) | 152417. | + | 388353.i | 0.153029 | + | 0.389911i | ||||
\(999\) | −405331. | + | 125028.i | −0.406143 | + | 0.125279i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 43.5.h.a.18.10 | yes | 168 | |
43.12 | odd | 42 | inner | 43.5.h.a.12.10 | ✓ | 168 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.5.h.a.12.10 | ✓ | 168 | 43.12 | odd | 42 | inner | |
43.5.h.a.18.10 | yes | 168 | 1.1 | even | 1 | trivial |