Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [287,3,Mod(146,287)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(287, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 9]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("287.146");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 287 = 7 \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 287.p (of order \(10\), degree \(4\), 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: | \(7.82018358714\) |
Analytic rank: | \(0\) |
Dimension: | \(216\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 146.7 | ||
Character | \(\chi\) | \(=\) | 287.146 |
Dual form | 287.3.p.a.230.7 |
$q$-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 \(\left(\mathbb{Z}/287\mathbb{Z}\right)^\times\).
\(n\) | \(206\) | \(211\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{9}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.974724 | − | 2.99989i | −0.487362 | − | 1.49995i | −0.828531 | − | 0.559944i | \(-0.810823\pi\) |
0.341169 | − | 0.940002i | \(-0.389177\pi\) | |||||||
\(3\) | −2.12660 | −0.708865 | −0.354433 | − | 0.935082i | \(-0.615326\pi\) | ||||
−0.354433 | + | 0.935082i | \(0.615326\pi\) | |||||||
\(4\) | −4.81319 | + | 3.49699i | −1.20330 | + | 0.874247i | ||||
\(5\) | −2.94240 | − | 4.04986i | −0.588479 | − | 0.809972i | 0.406114 | − | 0.913823i | \(-0.366884\pi\) |
−0.994593 | + | 0.103850i | \(0.966884\pi\) | |||||||
\(6\) | 2.07284 | + | 6.37956i | 0.345474 | + | 1.06326i | ||||
\(7\) | 1.62289 | − | 6.80927i | 0.231842 | − | 0.972754i | ||||
\(8\) | 4.97468 | + | 3.61432i | 0.621835 | + | 0.451790i | ||||
\(9\) | −4.47759 | −0.497510 | ||||||||
\(10\) | −9.28112 | + | 12.7744i | −0.928112 | + | 1.27744i | ||||
\(11\) | −6.11374 | + | 8.41485i | −0.555795 | + | 0.764986i | −0.990784 | − | 0.135450i | \(-0.956752\pi\) |
0.434989 | + | 0.900436i | \(0.356752\pi\) | |||||||
\(12\) | 10.2357 | − | 7.43668i | 0.852976 | − | 0.619724i | ||||
\(13\) | −1.51016 | − | 4.64779i | −0.116166 | − | 0.357522i | 0.876022 | − | 0.482270i | \(-0.160188\pi\) |
−0.992188 | + | 0.124748i | \(0.960188\pi\) | |||||||
\(14\) | −22.0090 | + | 1.76866i | −1.57207 | + | 0.126333i | ||||
\(15\) | 6.25729 | + | 8.61242i | 0.417153 | + | 0.574161i | ||||
\(16\) | −1.36028 | + | 4.18652i | −0.0850178 | + | 0.261658i | ||||
\(17\) | −1.86749 | − | 1.35681i | −0.109852 | − | 0.0798125i | 0.531503 | − | 0.847057i | \(-0.321628\pi\) |
−0.641355 | + | 0.767244i | \(0.721628\pi\) | |||||||
\(18\) | 4.36441 | + | 13.4323i | 0.242467 | + | 0.746238i | ||||
\(19\) | 5.26775 | − | 16.2125i | 0.277250 | − | 0.853287i | −0.711366 | − | 0.702822i | \(-0.751923\pi\) |
0.988615 | − | 0.150465i | \(-0.0480770\pi\) | |||||||
\(20\) | 28.3246 | + | 9.20323i | 1.41623 | + | 0.460162i | ||||
\(21\) | −3.45124 | + | 14.4806i | −0.164345 | + | 0.689551i | ||||
\(22\) | 31.2028 | + | 10.1384i | 1.41831 | + | 0.460837i | ||||
\(23\) | 2.44765 | + | 7.53310i | 0.106420 | + | 0.327526i | 0.990061 | − | 0.140638i | \(-0.0449155\pi\) |
−0.883641 | + | 0.468164i | \(0.844915\pi\) | |||||||
\(24\) | −10.5791 | − | 7.68620i | −0.440798 | − | 0.320258i | ||||
\(25\) | −0.0182542 | + | 0.0561806i | −0.000730167 | + | 0.00224722i | ||||
\(26\) | −12.4709 | + | 9.06062i | −0.479649 | + | 0.348485i | ||||
\(27\) | 28.6614 | 1.06153 | ||||||||
\(28\) | 16.0007 | + | 38.4496i | 0.571452 | + | 1.37320i | ||||
\(29\) | 25.7471 | + | 35.4379i | 0.887831 | + | 1.22200i | 0.974190 | + | 0.225731i | \(0.0724771\pi\) |
−0.0863582 | + | 0.996264i | \(0.527523\pi\) | |||||||
\(30\) | 19.7372 | − | 27.1659i | 0.657906 | − | 0.905530i | ||||
\(31\) | −3.13200 | + | 4.31082i | −0.101032 | + | 0.139059i | −0.856540 | − | 0.516081i | \(-0.827390\pi\) |
0.755508 | + | 0.655140i | \(0.227390\pi\) | |||||||
\(32\) | 38.4812 | 1.20254 | ||||||||
\(33\) | 13.0015 | − | 17.8950i | 0.393984 | − | 0.542272i | ||||
\(34\) | −2.25000 | + | 6.92479i | −0.0661765 | + | 0.203670i | ||||
\(35\) | −32.3518 | + | 13.4631i | −0.924337 | + | 0.384660i | ||||
\(36\) | 21.5515 | − | 15.6581i | 0.598653 | − | 0.434947i | ||||
\(37\) | −1.32734 | + | 0.964368i | −0.0358740 | + | 0.0260640i | −0.605578 | − | 0.795786i | \(-0.707058\pi\) |
0.569704 | + | 0.821850i | \(0.307058\pi\) | |||||||
\(38\) | −53.7702 | −1.41501 | ||||||||
\(39\) | 3.21150 | + | 9.88397i | 0.0823460 | + | 0.253435i | ||||
\(40\) | − | 30.7815i | − | 0.769538i | ||||||
\(41\) | 10.3941 | + | 39.6606i | 0.253514 | + | 0.967332i | ||||
\(42\) | 46.8042 | − | 3.76123i | 1.11438 | − | 0.0895531i | ||||
\(43\) | −24.1947 | − | 74.4635i | −0.562667 | − | 1.73171i | −0.674785 | − | 0.738015i | \(-0.735763\pi\) |
0.112118 | − | 0.993695i | \(-0.464237\pi\) | |||||||
\(44\) | − | 61.8820i | − | 1.40641i | ||||||
\(45\) | 13.1748 | + | 18.1336i | 0.292774 | + | 0.402969i | ||||
\(46\) | 20.2127 | − | 14.6854i | 0.439406 | − | 0.319247i | ||||
\(47\) | −1.26259 | − | 3.88586i | −0.0268636 | − | 0.0826778i | 0.936726 | − | 0.350064i | \(-0.113840\pi\) |
−0.963589 | + | 0.267386i | \(0.913840\pi\) | |||||||
\(48\) | 2.89277 | − | 8.90305i | 0.0602661 | − | 0.185480i | ||||
\(49\) | −43.7324 | − | 22.1014i | −0.892499 | − | 0.451050i | ||||
\(50\) | 0.186328 | 0.00372657 | ||||||||
\(51\) | 3.97140 | + | 2.88539i | 0.0778706 | + | 0.0565763i | ||||
\(52\) | 23.5219 | + | 17.0897i | 0.452345 | + | 0.328648i | ||||
\(53\) | 14.6966 | + | 20.2282i | 0.277295 | + | 0.381664i | 0.924836 | − | 0.380367i | \(-0.124202\pi\) |
−0.647541 | + | 0.762031i | \(0.724202\pi\) | |||||||
\(54\) | −27.9369 | − | 85.9810i | −0.517351 | − | 1.59224i | ||||
\(55\) | 52.0680 | 0.946691 | ||||||||
\(56\) | 32.6843 | − | 28.0083i | 0.583647 | − | 0.500149i | ||||
\(57\) | −11.2024 | + | 34.4773i | −0.196533 | + | 0.604866i | ||||
\(58\) | 81.2134 | − | 111.781i | 1.40023 | − | 1.92725i | ||||
\(59\) | −75.2942 | + | 24.4646i | −1.27617 | + | 0.414654i | −0.867230 | − | 0.497907i | \(-0.834102\pi\) |
−0.408942 | + | 0.912560i | \(0.634102\pi\) | |||||||
\(60\) | −60.2351 | − | 19.5716i | −1.00392 | − | 0.326193i | ||||
\(61\) | −63.8129 | − | 20.7341i | −1.04611 | − | 0.339903i | −0.264971 | − | 0.964256i | \(-0.585362\pi\) |
−0.781142 | + | 0.624354i | \(0.785362\pi\) | |||||||
\(62\) | 15.9848 | + | 5.19379i | 0.257820 | + | 0.0837708i | ||||
\(63\) | −7.26664 | + | 30.4891i | −0.115344 | + | 0.483954i | ||||
\(64\) | −32.0674 | − | 98.6933i | −0.501053 | − | 1.54208i | ||||
\(65\) | −14.3794 | + | 19.7916i | −0.221222 | + | 0.304486i | ||||
\(66\) | −66.3558 | − | 21.5603i | −1.00539 | − | 0.326671i | ||||
\(67\) | 24.4849 | + | 33.7006i | 0.365446 | + | 0.502993i | 0.951656 | − | 0.307166i | \(-0.0993806\pi\) |
−0.586210 | + | 0.810159i | \(0.699381\pi\) | |||||||
\(68\) | 13.7334 | 0.201961 | ||||||||
\(69\) | −5.20517 | − | 16.0199i | −0.0754372 | − | 0.232172i | ||||
\(70\) | 71.9219 | + | 83.9291i | 1.02746 | + | 1.19899i | ||||
\(71\) | −75.3878 | + | 103.762i | −1.06180 | + | 1.46144i | −0.183690 | + | 0.982984i | \(0.558804\pi\) |
−0.878110 | + | 0.478458i | \(0.841196\pi\) | |||||||
\(72\) | −22.2746 | − | 16.1834i | −0.309369 | − | 0.224770i | ||||
\(73\) | 25.7275i | 0.352431i | 0.984352 | + | 0.176215i | \(0.0563856\pi\) | ||||
−0.984352 | + | 0.176215i | \(0.943614\pi\) | |||||||
\(74\) | 4.18679 | + | 3.04188i | 0.0565782 | + | 0.0411065i | ||||
\(75\) | 0.0388192 | − | 0.119473i | 0.000517590 | − | 0.00159298i | ||||
\(76\) | 31.3401 | + | 96.4549i | 0.412370 | + | 1.26914i | ||||
\(77\) | 47.3771 | + | 55.2866i | 0.615286 | + | 0.718007i | ||||
\(78\) | 26.5205 | − | 19.2683i | 0.340006 | − | 0.247029i | ||||
\(79\) | 50.5680i | 0.640102i | 0.947400 | + | 0.320051i | \(0.103700\pi\) | ||||
−0.947400 | + | 0.320051i | \(0.896300\pi\) | |||||||
\(80\) | 20.9573 | − | 6.80945i | 0.261967 | − | 0.0851181i | ||||
\(81\) | −20.6529 | −0.254974 | ||||||||
\(82\) | 108.846 | − | 69.8392i | 1.32739 | − | 0.851698i | ||||
\(83\) | 54.4948i | 0.656564i | 0.944580 | + | 0.328282i | \(0.106470\pi\) | ||||
−0.944580 | + | 0.328282i | \(0.893530\pi\) | |||||||
\(84\) | −34.0270 | − | 81.7667i | −0.405083 | − | 0.973414i | ||||
\(85\) | 11.5554i | 0.135945i | ||||||||
\(86\) | −199.799 | + | 145.163i | −2.32325 | + | 1.68794i | ||||
\(87\) | −54.7537 | − | 75.3620i | −0.629353 | − | 0.866230i | ||||
\(88\) | −60.8279 | + | 19.7642i | −0.691226 | + | 0.224593i | ||||
\(89\) | 21.8997 | − | 67.4003i | 0.246064 | − | 0.757306i | −0.749396 | − | 0.662122i | \(-0.769656\pi\) |
0.995460 | − | 0.0951841i | \(-0.0303440\pi\) | |||||||
\(90\) | 41.5570 | − | 57.1984i | 0.461745 | − | 0.635537i | ||||
\(91\) | −34.0989 | + | 2.74022i | −0.374713 | + | 0.0301123i | ||||
\(92\) | −38.1242 | − | 27.6989i | −0.414393 | − | 0.301074i | ||||
\(93\) | 6.66049 | − | 9.16738i | 0.0716182 | − | 0.0985740i | ||||
\(94\) | −10.4265 | + | 7.57527i | −0.110920 | + | 0.0805880i | ||||
\(95\) | −81.1580 | + | 26.3698i | −0.854295 | + | 0.277577i | ||||
\(96\) | −81.8340 | −0.852437 | ||||||||
\(97\) | −71.4017 | + | 51.8764i | −0.736100 | + | 0.534808i | −0.891487 | − | 0.453046i | \(-0.850337\pi\) |
0.155387 | + | 0.987854i | \(0.450337\pi\) | |||||||
\(98\) | −23.6749 | + | 152.735i | −0.241580 | + | 1.55852i | ||||
\(99\) | 27.3748 | − | 37.6782i | 0.276513 | − | 0.380588i | ||||
\(100\) | −0.108602 | − | 0.334243i | −0.00108602 | − | 0.00334243i | ||||
\(101\) | 37.9830 | − | 116.900i | 0.376069 | − | 1.15742i | −0.566686 | − | 0.823934i | \(-0.691775\pi\) |
0.942755 | − | 0.333487i | \(-0.108225\pi\) | |||||||
\(102\) | 4.78484 | − | 14.7262i | 0.0469102 | − | 0.144375i | ||||
\(103\) | −76.6567 | − | 24.9073i | −0.744240 | − | 0.241818i | −0.0877388 | − | 0.996144i | \(-0.527964\pi\) |
−0.656501 | + | 0.754325i | \(0.727964\pi\) | |||||||
\(104\) | 9.28603 | − | 28.5795i | 0.0892887 | − | 0.274802i | ||||
\(105\) | 68.7992 | − | 28.6306i | 0.655231 | − | 0.272672i | ||||
\(106\) | 46.3572 | − | 63.8052i | 0.437332 | − | 0.601936i | ||||
\(107\) | −50.1737 | + | 154.419i | −0.468913 | + | 1.44317i | 0.385081 | + | 0.922883i | \(0.374173\pi\) |
−0.853994 | + | 0.520283i | \(0.825827\pi\) | |||||||
\(108\) | −137.953 | + | 100.229i | −1.27734 | + | 0.928042i | ||||
\(109\) | − | 82.7632i | − | 0.759296i | −0.925131 | − | 0.379648i | \(-0.876045\pi\) | ||
0.925131 | − | 0.379648i | \(-0.123955\pi\) | |||||||
\(110\) | −50.7519 | − | 156.198i | −0.461381 | − | 1.41999i | ||||
\(111\) | 2.82271 | − | 2.05082i | 0.0254298 | − | 0.0184759i | ||||
\(112\) | 26.2996 | + | 16.0568i | 0.234818 | + | 0.143364i | ||||
\(113\) | −95.4413 | − | 69.3421i | −0.844613 | − | 0.613647i | 0.0790425 | − | 0.996871i | \(-0.474814\pi\) |
−0.923655 | + | 0.383224i | \(0.874814\pi\) | |||||||
\(114\) | 114.347 | 1.00305 | ||||||||
\(115\) | 23.3060 | − | 32.0780i | 0.202661 | − | 0.278939i | ||||
\(116\) | −247.852 | − | 80.5319i | −2.13665 | − | 0.694240i | ||||
\(117\) | 6.76186 | + | 20.8109i | 0.0577937 | + | 0.177871i | ||||
\(118\) | 146.782 | + | 202.028i | 1.24392 | + | 1.71210i | ||||
\(119\) | −12.2696 | + | 10.5143i | −0.103106 | + | 0.0883555i | ||||
\(120\) | 65.4599i | 0.545499i | ||||||||
\(121\) | 3.95927 | + | 12.1854i | 0.0327213 | + | 0.100706i | ||||
\(122\) | 211.642i | 1.73477i | ||||||||
\(123\) | −22.1040 | − | 84.3421i | −0.179707 | − | 0.685708i | ||||
\(124\) | − | 31.7014i | − | 0.255656i | ||||||
\(125\) | −118.741 | + | 38.5814i | −0.949930 | + | 0.308651i | ||||
\(126\) | 98.5471 | − | 7.91934i | 0.782119 | − | 0.0628519i | ||||
\(127\) | −1.55465 | + | 1.12952i | −0.0122413 | + | 0.00889385i | −0.593889 | − | 0.804547i | \(-0.702408\pi\) |
0.581648 | + | 0.813441i | \(0.302408\pi\) | |||||||
\(128\) | −140.285 | + | 101.923i | −1.09597 | + | 0.796271i | ||||
\(129\) | 51.4523 | + | 158.354i | 0.398855 | + | 1.22755i | ||||
\(130\) | 73.3885 | + | 23.8454i | 0.564527 | + | 0.183426i | ||||
\(131\) | 56.6368 | − | 77.9539i | 0.432342 | − | 0.595068i | −0.536147 | − | 0.844125i | \(-0.680121\pi\) |
0.968489 | + | 0.249057i | \(0.0801207\pi\) | |||||||
\(132\) | 131.598i | 0.996954i | ||||||||
\(133\) | −101.846 | − | 62.1806i | −0.765760 | − | 0.467523i | ||||
\(134\) | 77.2320 | − | 106.301i | 0.576358 | − | 0.793289i | ||||
\(135\) | −84.3332 | − | 116.075i | −0.624690 | − | 0.859812i | ||||
\(136\) | −4.38623 | − | 13.4994i | −0.0322517 | − | 0.0992605i | ||||
\(137\) | − | 52.9817i | − | 0.386728i | −0.981127 | − | 0.193364i | \(-0.938060\pi\) | ||
0.981127 | − | 0.193364i | \(-0.0619398\pi\) | |||||||
\(138\) | −42.9842 | + | 31.2299i | −0.311480 | + | 0.226303i | ||||
\(139\) | −146.527 | − | 47.6096i | −1.05415 | − | 0.342515i | −0.269856 | − | 0.962901i | \(-0.586976\pi\) |
−0.784297 | + | 0.620386i | \(0.786976\pi\) | |||||||
\(140\) | 108.635 | − | 177.934i | 0.775966 | − | 1.27096i | ||||
\(141\) | 2.68502 | + | 8.26365i | 0.0190427 | + | 0.0586074i | ||||
\(142\) | 384.758 | + | 125.016i | 2.70957 | + | 0.880391i | ||||
\(143\) | 48.3431 | + | 15.7076i | 0.338064 | + | 0.109844i | ||||
\(144\) | 6.09079 | − | 18.7455i | 0.0422972 | − | 0.130177i | ||||
\(145\) | 67.7602 | − | 208.544i | 0.467312 | − | 1.43824i | ||||
\(146\) | 77.1796 | − | 25.0772i | 0.528627 | − | 0.171761i | ||||
\(147\) | 93.0012 | + | 47.0008i | 0.632662 | + | 0.319734i | ||||
\(148\) | 3.01635 | − | 9.28338i | 0.0203808 | − | 0.0627255i | ||||
\(149\) | −17.8822 | − | 24.6127i | −0.120015 | − | 0.165186i | 0.744783 | − | 0.667307i | \(-0.232553\pi\) |
−0.864797 | + | 0.502121i | \(0.832553\pi\) | |||||||
\(150\) | −0.396245 | −0.00264163 | ||||||||
\(151\) | −19.9805 | + | 6.49207i | −0.132321 | + | 0.0429938i | −0.374429 | − | 0.927256i | \(-0.622161\pi\) |
0.242108 | + | 0.970249i | \(0.422161\pi\) | |||||||
\(152\) | 84.8023 | − | 61.6125i | 0.557910 | − | 0.405345i | ||||
\(153\) | 8.36186 | + | 6.07525i | 0.0546527 | + | 0.0397075i | ||||
\(154\) | 119.674 | − | 196.015i | 0.777105 | − | 1.27283i | ||||
\(155\) | 26.6738 | 0.172089 | ||||||||
\(156\) | −50.0217 | − | 36.3429i | −0.320652 | − | 0.232967i | ||||
\(157\) | 18.8832 | − | 58.1166i | 0.120275 | − | 0.370169i | −0.872735 | − | 0.488194i | \(-0.837656\pi\) |
0.993011 | + | 0.118024i | \(0.0376560\pi\) | |||||||
\(158\) | 151.699 | − | 49.2899i | 0.960118 | − | 0.311961i | ||||
\(159\) | −31.2538 | − | 43.0172i | −0.196565 | − | 0.270548i | ||||
\(160\) | −113.227 | − | 155.844i | −0.707668 | − | 0.974022i | ||||
\(161\) | 55.2672 | − | 4.44133i | 0.343275 | − | 0.0275859i | ||||
\(162\) | 20.1309 | + | 61.9564i | 0.124265 | + | 0.382447i | ||||
\(163\) | 141.657 | 0.869059 | 0.434529 | − | 0.900658i | \(-0.356915\pi\) | ||||
0.434529 | + | 0.900658i | \(0.356915\pi\) | |||||||
\(164\) | −188.721 | − | 154.546i | −1.15074 | − | 0.942354i | ||||
\(165\) | −110.728 | −0.671077 | ||||||||
\(166\) | 163.479 | − | 53.1174i | 0.984810 | − | 0.319984i | ||||
\(167\) | −158.384 | −0.948410 | −0.474205 | − | 0.880414i | \(-0.657264\pi\) | ||||
−0.474205 | + | 0.880414i | \(0.657264\pi\) | |||||||
\(168\) | −69.5062 | + | 59.5624i | −0.413727 | + | 0.354538i | ||||
\(169\) | 117.403 | − | 85.2979i | 0.694689 | − | 0.504721i | ||||
\(170\) | 34.6648 | − | 11.2633i | 0.203911 | − | 0.0662546i | ||||
\(171\) | −23.5868 | + | 72.5927i | −0.137935 | + | 0.424519i | ||||
\(172\) | 376.852 | + | 273.799i | 2.19100 | + | 1.59185i | ||||
\(173\) | − | 25.5219i | − | 0.147525i | −0.997276 | − | 0.0737627i | \(-0.976499\pi\) | ||
0.997276 | − | 0.0737627i | \(-0.0235008\pi\) | |||||||
\(174\) | −172.708 | + | 237.712i | −0.992575 | + | 1.36616i | ||||
\(175\) | 0.352924 | + | 0.215473i | 0.00201671 | + | 0.00123127i | ||||
\(176\) | −26.9125 | − | 37.0419i | −0.152912 | − | 0.210465i | ||||
\(177\) | 160.120 | − | 52.0262i | 0.904634 | − | 0.293934i | ||||
\(178\) | −223.540 | −1.25584 | ||||||||
\(179\) | 39.6269 | + | 54.5417i | 0.221379 | + | 0.304702i | 0.905232 | − | 0.424918i | \(-0.139697\pi\) |
−0.683853 | + | 0.729620i | \(0.739697\pi\) | |||||||
\(180\) | −126.826 | − | 41.2083i | −0.704590 | − | 0.228935i | ||||
\(181\) | −19.9693 | − | 14.5085i | −0.110328 | − | 0.0801576i | 0.531253 | − | 0.847213i | \(-0.321721\pi\) |
−0.641581 | + | 0.767055i | \(0.721721\pi\) | |||||||
\(182\) | 41.4574 | + | 99.6220i | 0.227788 | + | 0.547374i | ||||
\(183\) | 135.704 | + | 44.0930i | 0.741553 | + | 0.240945i | ||||
\(184\) | −15.0507 | + | 46.3214i | −0.0817974 | + | 0.251747i | ||||
\(185\) | 7.81111 | + | 2.53798i | 0.0422222 | + | 0.0137188i | ||||
\(186\) | −33.9933 | − | 11.0451i | −0.182760 | − | 0.0593822i | ||||
\(187\) | 22.8347 | − | 7.41946i | 0.122111 | − | 0.0396762i | ||||
\(188\) | 19.6659 | + | 14.2881i | 0.104606 | + | 0.0760006i | ||||
\(189\) | 46.5143 | − | 195.163i | 0.246108 | − | 1.03261i | ||||
\(190\) | 158.213 | + | 217.762i | 0.832701 | + | 1.14611i | ||||
\(191\) | − | 106.818i | − | 0.559254i | −0.960109 | − | 0.279627i | \(-0.909789\pi\) | ||
0.960109 | − | 0.279627i | \(-0.0902108\pi\) | |||||||
\(192\) | 68.1944 | + | 209.881i | 0.355179 | + | 1.09313i | ||||
\(193\) | 81.4959 | + | 112.169i | 0.422259 | + | 0.581189i | 0.966155 | − | 0.257964i | \(-0.0830515\pi\) |
−0.543896 | + | 0.839153i | \(0.683051\pi\) | |||||||
\(194\) | 225.220 | + | 163.632i | 1.16093 | + | 0.843465i | ||||
\(195\) | 30.5792 | − | 42.0887i | 0.156816 | − | 0.215839i | ||||
\(196\) | 287.781 | − | 46.5534i | 1.46827 | − | 0.237517i | ||||
\(197\) | 127.575 | + | 92.6885i | 0.647588 | + | 0.470500i | 0.862449 | − | 0.506144i | \(-0.168930\pi\) |
−0.214861 | + | 0.976645i | \(0.568930\pi\) | |||||||
\(198\) | −139.713 | − | 45.3957i | −0.705624 | − | 0.229271i | ||||
\(199\) | 116.676 | + | 359.093i | 0.586314 | + | 1.80449i | 0.593929 | + | 0.804517i | \(0.297576\pi\) |
−0.00761522 | + | 0.999971i | \(0.502424\pi\) | |||||||
\(200\) | −0.293863 | + | 0.213504i | −0.00146932 | + | 0.00106752i | ||||
\(201\) | −52.0695 | − | 71.6675i | −0.259052 | − | 0.356555i | ||||
\(202\) | −387.709 | −1.91935 | ||||||||
\(203\) | 283.091 | − | 117.807i | 1.39454 | − | 0.580332i | ||||
\(204\) | −29.2053 | −0.143163 | ||||||||
\(205\) | 130.036 | − | 158.792i | 0.634324 | − | 0.774594i | ||||
\(206\) | 254.239i | 1.23417i | ||||||||
\(207\) | −10.9596 | − | 33.7301i | −0.0529448 | − | 0.162947i | ||||
\(208\) | 21.5123 | 0.103425 | ||||||||
\(209\) | 104.220 | + | 143.446i | 0.498659 | + | 0.686345i | ||||
\(210\) | −152.949 | − | 178.483i | −0.728328 | − | 0.849921i | ||||
\(211\) | −292.776 | + | 95.1287i | −1.38756 | + | 0.450847i | −0.905148 | − | 0.425096i | \(-0.860240\pi\) |
−0.482415 | + | 0.875943i | \(0.660240\pi\) | |||||||
\(212\) | −141.475 | − | 45.9682i | −0.667337 | − | 0.216831i | ||||
\(213\) | 160.319 | − | 220.661i | 0.752673 | − | 1.03597i | ||||
\(214\) | 512.145 | 2.39320 | ||||||||
\(215\) | −230.377 | + | 317.086i | −1.07152 | + | 1.47482i | ||||
\(216\) | 142.581 | + | 103.591i | 0.660099 | + | 0.479590i | ||||
\(217\) | 24.2707 | + | 28.3226i | 0.111846 | + | 0.130519i | ||||
\(218\) | −248.281 | + | 80.6713i | −1.13890 | + | 0.370052i | ||||
\(219\) | − | 54.7119i | − | 0.249826i | ||||||
\(220\) | −250.613 | + | 182.081i | −1.13915 | + | 0.827642i | ||||
\(221\) | −3.48597 | + | 10.7287i | −0.0157736 | + | 0.0485462i | ||||
\(222\) | −8.90361 | − | 6.46885i | −0.0401063 | − | 0.0291390i | ||||
\(223\) | −403.535 | + | 131.117i | −1.80957 | + | 0.587966i | −0.809575 | + | 0.587017i | \(0.800302\pi\) |
−1.00000 | 0.000949758i | \(0.999698\pi\) | ||||||||
\(224\) | 62.4508 | − | 262.029i | 0.278798 | − | 1.16977i | ||||
\(225\) | 0.0817347 | − | 0.251553i | 0.000363265 | − | 0.00111802i | ||||
\(226\) | −114.990 | + | 353.903i | −0.508805 | + | 1.56594i | ||||
\(227\) | 115.577 | − | 355.708i | 0.509148 | − | 1.56700i | −0.284535 | − | 0.958666i | \(-0.591839\pi\) |
0.793683 | − | 0.608331i | \(-0.208161\pi\) | |||||||
\(228\) | −66.6477 | − | 205.121i | −0.292315 | − | 0.899652i | ||||
\(229\) | −86.3232 | − | 62.7174i | −0.376957 | − | 0.273875i | 0.383133 | − | 0.923693i | \(-0.374845\pi\) |
−0.760090 | + | 0.649818i | \(0.774845\pi\) | |||||||
\(230\) | −118.948 | − | 38.6484i | −0.517163 | − | 0.168037i | ||||
\(231\) | −100.752 | − | 117.572i | −0.436155 | − | 0.508970i | ||||
\(232\) | 269.350i | 1.16099i | ||||||||
\(233\) | 95.7690 | − | 31.1172i | 0.411026 | − | 0.133550i | −0.0962032 | − | 0.995362i | \(-0.530670\pi\) |
0.507229 | + | 0.861811i | \(0.330670\pi\) | |||||||
\(234\) | 55.8394 | − | 40.5697i | 0.238630 | − | 0.173375i | ||||
\(235\) | −12.0221 | + | 16.5470i | −0.0511580 | + | 0.0704130i | ||||
\(236\) | 276.853 | − | 381.056i | 1.17311 | − | 1.61464i | ||||
\(237\) | − | 107.538i | − | 0.453746i | ||||||
\(238\) | 43.5013 | + | 26.5591i | 0.182779 | + | 0.111593i | ||||
\(239\) | −341.535 | − | 110.972i | −1.42902 | − | 0.464316i | −0.510562 | − | 0.859841i | \(-0.670563\pi\) |
−0.918455 | + | 0.395525i | \(0.870563\pi\) | |||||||
\(240\) | −44.5678 | + | 14.4810i | −0.185699 | + | 0.0603373i | ||||
\(241\) | 232.646 | + | 320.210i | 0.965337 | + | 1.32867i | 0.944367 | + | 0.328892i | \(0.106675\pi\) |
0.0209698 | + | 0.999780i | \(0.493325\pi\) | |||||||
\(242\) | 32.6957 | − | 23.7548i | 0.135106 | − | 0.0981603i | ||||
\(243\) | −214.032 | −0.880791 | ||||||||
\(244\) | 379.650 | − | 123.356i | 1.55594 | − | 0.505557i | ||||
\(245\) | 39.1704 | + | 242.142i | 0.159879 | + | 0.988333i | ||||
\(246\) | −231.472 | + | 148.520i | −0.940942 | + | 0.603739i | ||||
\(247\) | −83.3072 | −0.337276 | ||||||||
\(248\) | −31.1614 | + | 10.1249i | −0.125651 | + | 0.0408264i | ||||
\(249\) | − | 115.888i | − | 0.465416i | ||||||
\(250\) | 231.480 | + | 318.605i | 0.925919 | + | 1.27442i | ||||
\(251\) | −174.083 | − | 239.605i | −0.693559 | − | 0.954602i | −0.999996 | − | 0.00271130i | \(-0.999137\pi\) |
0.306437 | − | 0.951891i | \(-0.400863\pi\) | |||||||
\(252\) | −71.6444 | − | 172.161i | −0.284303 | − | 0.683180i | ||||
\(253\) | −78.3542 | − | 25.4588i | −0.309700 | − | 0.100628i | ||||
\(254\) | 4.90379 | + | 3.56281i | 0.0193062 | + | 0.0140268i | ||||
\(255\) | − | 24.5736i | − | 0.0963670i | ||||||
\(256\) | 106.682 | + | 77.5087i | 0.416725 | + | 0.302768i | ||||
\(257\) | 260.437 | + | 189.219i | 1.01337 | + | 0.736259i | 0.964914 | − | 0.262566i | \(-0.0845686\pi\) |
0.0484601 | + | 0.998825i | \(0.484569\pi\) | |||||||
\(258\) | 424.892 | − | 308.702i | 1.64687 | − | 1.19652i | ||||
\(259\) | 4.41252 | + | 10.6033i | 0.0170368 | + | 0.0409393i | ||||
\(260\) | − | 145.545i | − | 0.559789i | ||||||
\(261\) | −115.285 | − | 158.676i | −0.441705 | − | 0.607955i | ||||
\(262\) | −289.058 | − | 93.9208i | −1.10328 | − | 0.358476i | ||||
\(263\) | −264.101 | + | 363.503i | −1.00418 | + | 1.38214i | −0.0814625 | + | 0.996676i | \(0.525959\pi\) |
−0.922722 | + | 0.385465i | \(0.874041\pi\) | |||||||
\(264\) | 129.356 | − | 42.0304i | 0.489986 | − | 0.159206i | ||||
\(265\) | 38.6780 | − | 119.039i | 0.145955 | − | 0.449202i | ||||
\(266\) | −87.2632 | + | 366.136i | −0.328057 | + | 1.37645i | ||||
\(267\) | −46.5718 | + | 143.333i | −0.174426 | + | 0.536828i | ||||
\(268\) | −235.701 | − | 76.5839i | −0.879481 | − | 0.285761i | ||||
\(269\) | 14.4921 | − | 4.70878i | 0.0538742 | − | 0.0175048i | −0.281956 | − | 0.959427i | \(-0.590983\pi\) |
0.335830 | + | 0.941923i | \(0.390983\pi\) | |||||||
\(270\) | −266.010 | + | 366.131i | −0.985221 | + | 1.35604i | ||||
\(271\) | 240.851 | + | 78.2571i | 0.888747 | + | 0.288772i | 0.717585 | − | 0.696471i | \(-0.245248\pi\) |
0.171163 | + | 0.985243i | \(0.445248\pi\) | |||||||
\(272\) | 8.22065 | − | 5.97265i | 0.0302230 | − | 0.0219583i | ||||
\(273\) | 72.5145 | − | 5.82734i | 0.265621 | − | 0.0213456i | ||||
\(274\) | −158.939 | + | 51.6426i | −0.580071 | + | 0.188476i | ||||
\(275\) | −0.361149 | − | 0.497080i | −0.00131327 | − | 0.00180756i | ||||
\(276\) | 81.0748 | + | 58.9043i | 0.293749 | + | 0.213421i | ||||
\(277\) | 166.830 | + | 121.209i | 0.602274 | + | 0.437578i | 0.846685 | − | 0.532094i | \(-0.178595\pi\) |
−0.244411 | + | 0.969672i | \(0.578595\pi\) | |||||||
\(278\) | 485.972i | 1.74810i | ||||||||
\(279\) | 14.0238 | − | 19.3021i | 0.0502645 | − | 0.0691831i | ||||
\(280\) | −209.600 | − | 49.9551i | −0.748571 | − | 0.178411i | ||||
\(281\) | 340.348 | − | 110.586i | 1.21120 | − | 0.393544i | 0.367333 | − | 0.930089i | \(-0.380271\pi\) |
0.843872 | + | 0.536545i | \(0.180271\pi\) | |||||||
\(282\) | 22.1729 | − | 16.1095i | 0.0786273 | − | 0.0571261i | ||||
\(283\) | 165.060 | + | 227.186i | 0.583251 | + | 0.802776i | 0.994047 | − | 0.108951i | \(-0.0347493\pi\) |
−0.410796 | + | 0.911727i | \(0.634749\pi\) | |||||||
\(284\) | − | 763.059i | − | 2.68683i | ||||||
\(285\) | 172.590 | − | 56.0780i | 0.605580 | − | 0.196765i | ||||
\(286\) | − | 160.335i | − | 0.560611i | ||||||
\(287\) | 286.928 | − | 6.41130i | 0.999750 | − | 0.0223390i | ||||
\(288\) | −172.303 | −0.598274 | ||||||||
\(289\) | −87.6593 | − | 269.788i | −0.303319 | − | 0.933521i | ||||
\(290\) | −691.658 | −2.38503 | ||||||||
\(291\) | 151.843 | − | 110.320i | 0.521796 | − | 0.379107i | ||||
\(292\) | −89.9687 | − | 123.831i | −0.308112 | − | 0.424080i | ||||
\(293\) | −52.8732 | − | 162.727i | −0.180455 | − | 0.555383i | 0.819386 | − | 0.573243i | \(-0.194315\pi\) |
−0.999840 | + | 0.0178599i | \(0.994315\pi\) | |||||||
\(294\) | 50.3468 | − | 324.806i | 0.171248 | − | 1.10478i | ||||
\(295\) | 320.623 | + | 232.946i | 1.08686 | + | 0.789649i | ||||
\(296\) | −10.0886 | −0.0340832 | ||||||||
\(297\) | −175.228 | + | 241.181i | −0.589995 | + | 0.812058i | ||||
\(298\) | −56.4053 | + | 77.6352i | −0.189280 | + | 0.260521i | ||||
\(299\) | 31.3159 | − | 22.7523i | 0.104735 | − | 0.0760948i | ||||
\(300\) | 0.230953 | + | 0.710799i | 0.000769842 | + | 0.00236933i | ||||
\(301\) | −546.308 | + | 43.9019i | −1.81498 | + | 0.145853i | ||||
\(302\) | 38.9510 | + | 53.6115i | 0.128977 | + | 0.177521i | ||||
\(303\) | −80.7744 | + | 248.598i | −0.266582 | + | 0.820456i | ||||
\(304\) | 60.7082 | + | 44.1071i | 0.199698 | + | 0.145089i | ||||
\(305\) | 103.793 | + | 319.441i | 0.340304 | + | 1.04735i | ||||
\(306\) | 10.0746 | − | 31.0064i | 0.0329235 | − | 0.101328i | ||||
\(307\) | −4.15519 | − | 1.35010i | −0.0135348 | − | 0.00439773i | 0.302242 | − | 0.953231i | \(-0.402265\pi\) |
−0.315777 | + | 0.948834i | \(0.602265\pi\) | |||||||
\(308\) | −421.371 | − | 100.428i | −1.36809 | − | 0.326064i | ||||
\(309\) | 163.018 | + | 52.9677i | 0.527566 | + | 0.171416i | ||||
\(310\) | −25.9996 | − | 80.0185i | −0.0838697 | − | 0.258124i | ||||
\(311\) | −256.112 | − | 186.077i | −0.823513 | − | 0.598317i | 0.0942038 | − | 0.995553i | \(-0.469969\pi\) |
−0.917717 | + | 0.397236i | \(0.869969\pi\) | |||||||
\(312\) | −19.7476 | + | 60.7770i | −0.0632937 | + | 0.194798i | ||||
\(313\) | 65.7833 | − | 47.7943i | 0.210170 | − | 0.152698i | −0.477721 | − | 0.878512i | \(-0.658537\pi\) |
0.687891 | + | 0.725814i | \(0.258537\pi\) | |||||||
\(314\) | −192.749 | −0.613852 | ||||||||
\(315\) | 144.858 | − | 60.2822i | 0.459867 | − | 0.191372i | ||||
\(316\) | −176.836 | − | 243.394i | −0.559607 | − | 0.770233i | ||||
\(317\) | 43.4395 | − | 59.7894i | 0.137033 | − | 0.188610i | −0.734985 | − | 0.678083i | \(-0.762811\pi\) |
0.872018 | + | 0.489473i | \(0.162811\pi\) | |||||||
\(318\) | −98.5830 | + | 135.688i | −0.310009 | + | 0.426691i | ||||
\(319\) | −455.615 | −1.42826 | ||||||||
\(320\) | −305.339 | + | 420.263i | −0.954185 | + | 1.31332i | ||||
\(321\) | 106.699 | − | 328.386i | 0.332396 | − | 1.02301i | ||||
\(322\) | −67.1938 | − | 161.467i | −0.208676 | − | 0.501449i | ||||
\(323\) | −31.8347 | + | 23.1293i | −0.0985596 | + | 0.0716077i | ||||
\(324\) | 99.4064 | − | 72.2230i | 0.306810 | − | 0.222910i | ||||
\(325\) | 0.288682 | 0.000888252 | ||||||||
\(326\) | −138.076 | − | 424.954i | −0.423546 | − | 1.30354i | ||||
\(327\) | 176.004i | 0.538238i | ||||||||
\(328\) | −91.6388 | + | 234.866i | −0.279386 | + | 0.716056i | ||||
\(329\) | −28.5089 | + | 2.29101i | −0.0866532 | + | 0.00696354i | ||||
\(330\) | 107.929 | + | 332.171i | 0.327057 | + | 1.00658i | ||||
\(331\) | 188.593i | 0.569768i | 0.958562 | + | 0.284884i | \(0.0919550\pi\) | ||||
−0.958562 | + | 0.284884i | \(0.908045\pi\) | |||||||
\(332\) | −190.568 | − | 262.294i | −0.573999 | − | 0.790042i | ||||
\(333\) | 5.94328 | − | 4.31804i | 0.0178477 | − | 0.0129671i | ||||
\(334\) | 154.381 | + | 475.136i | 0.462219 | + | 1.42256i | ||||
\(335\) | 64.4383 | − | 198.321i | 0.192353 | − | 0.592002i | ||||
\(336\) | −55.9286 | − | 34.1464i | −0.166454 | − | 0.101626i | ||||
\(337\) | 218.466 | 0.648267 | 0.324133 | − | 0.946011i | \(-0.394927\pi\) | ||||
0.324133 | + | 0.946011i | \(0.394927\pi\) | |||||||
\(338\) | −370.320 | − | 269.053i | −1.09562 | − | 0.796014i | ||||
\(339\) | 202.965 | + | 147.463i | 0.598717 | + | 0.434993i | ||||
\(340\) | −40.4090 | − | 55.6182i | −0.118850 | − | 0.163583i | ||||
\(341\) | −17.1267 | − | 52.7105i | −0.0502249 | − | 0.154576i | ||||
\(342\) | 240.761 | 0.703979 | ||||||||
\(343\) | −221.468 | + | 261.918i | −0.645679 | + | 0.763609i | ||||
\(344\) | 148.774 | − | 457.880i | 0.432483 | − | 1.33105i | ||||
\(345\) | −49.5625 | + | 68.2170i | −0.143660 | + | 0.197730i | ||||
\(346\) | −76.5630 | + | 24.8768i | −0.221280 | + | 0.0718983i | ||||
\(347\) | −238.522 | − | 77.5003i | −0.687382 | − | 0.223344i | −0.0555575 | − | 0.998455i | \(-0.517694\pi\) |
−0.631824 | + | 0.775112i | \(0.717694\pi\) | |||||||
\(348\) | 527.080 | + | 171.259i | 1.51460 | + | 0.492123i | ||||
\(349\) | −47.9904 | − | 15.5930i | −0.137508 | − | 0.0446791i | 0.239454 | − | 0.970908i | \(-0.423031\pi\) |
−0.376963 | + | 0.926228i | \(0.623031\pi\) | |||||||
\(350\) | 0.302391 | − | 1.26876i | 0.000863974 | − | 0.00362503i | ||||
\(351\) | −43.2832 | − | 133.212i | −0.123314 | − | 0.379521i | ||||
\(352\) | −235.264 | + | 323.813i | −0.668364 | + | 0.919924i | ||||
\(353\) | −340.766 | − | 110.721i | −0.965342 | − | 0.313659i | −0.216408 | − | 0.976303i | \(-0.569434\pi\) |
−0.748934 | + | 0.662645i | \(0.769434\pi\) | |||||||
\(354\) | −312.146 | − | 429.632i | −0.881769 | − | 1.21365i | ||||
\(355\) | 642.044 | 1.80858 | ||||||||
\(356\) | 130.291 | + | 400.993i | 0.365985 | + | 1.12639i | ||||
\(357\) | 26.0926 | − | 22.3597i | 0.0730885 | − | 0.0626322i | ||||
\(358\) | 124.994 | − | 172.039i | 0.349145 | − | 0.480557i | ||||
\(359\) | 186.987 | + | 135.854i | 0.520855 | + | 0.378423i | 0.816926 | − | 0.576743i | \(-0.195677\pi\) |
−0.296071 | + | 0.955166i | \(0.595677\pi\) | |||||||
\(360\) | 137.827i | 0.382853i | ||||||||
\(361\) | 56.9606 | + | 41.3843i | 0.157786 | + | 0.114638i | ||||
\(362\) | −24.0595 | + | 74.0475i | −0.0664627 | + | 0.204551i | ||||
\(363\) | −8.41978 | − | 25.9134i | −0.0231950 | − | 0.0713868i | ||||
\(364\) | 154.542 | − | 132.433i | 0.424566 | − | 0.363826i | ||||
\(365\) | 104.193 | − | 75.7004i | 0.285459 | − | 0.207398i | ||||
\(366\) | − | 450.076i | − | 1.22972i | ||||||
\(367\) | 278.494 | − | 90.4882i | 0.758839 | − | 0.246562i | 0.0960587 | − | 0.995376i | \(-0.469376\pi\) |
0.662780 | + | 0.748814i | \(0.269376\pi\) | |||||||
\(368\) | −34.8670 | −0.0947473 | ||||||||
\(369\) | −46.5404 | − | 177.584i | −0.126126 | − | 0.481257i | ||||
\(370\) | − | 25.9063i | − | 0.0700171i | ||||||
\(371\) | 161.590 | − | 67.2453i | 0.435553 | − | 0.181254i | ||||
\(372\) | 67.4160i | 0.181226i | ||||||||
\(373\) | 409.810 | − | 297.745i | 1.09869 | − | 0.798243i | 0.117842 | − | 0.993032i | \(-0.462402\pi\) |
0.980845 | + | 0.194790i | \(0.0624024\pi\) | |||||||
\(374\) | −44.5151 | − | 61.2698i | −0.119024 | − | 0.163823i | ||||
\(375\) | 252.515 | − | 82.0470i | 0.673372 | − | 0.218792i | ||||
\(376\) | 7.76373 | − | 23.8943i | 0.0206482 | − | 0.0635487i | ||||
\(377\) | 125.825 | − | 173.184i | 0.333754 | − | 0.459374i | ||||
\(378\) | −630.807 | + | 50.6923i | −1.66880 | + | 0.134107i | ||||
\(379\) | −47.2748 | − | 34.3471i | −0.124736 | − | 0.0906257i | 0.523668 | − | 0.851922i | \(-0.324563\pi\) |
−0.648404 | + | 0.761297i | \(0.724563\pi\) | |||||||
\(380\) | 298.414 | − | 410.732i | 0.785300 | − | 1.08087i | ||||
\(381\) | 3.30611 | − | 2.40203i | 0.00867746 | − | 0.00630454i | ||||
\(382\) | −320.441 | + | 104.118i | −0.838851 | + | 0.272559i | ||||
\(383\) | −607.527 | −1.58623 | −0.793117 | − | 0.609070i | \(-0.791543\pi\) | ||||
−0.793117 | + | 0.609070i | \(0.791543\pi\) | |||||||
\(384\) | 298.329 | − | 216.748i | 0.776898 | − | 0.564449i | ||||
\(385\) | 84.5008 | − | 354.545i | 0.219483 | − | 0.920897i | ||||
\(386\) | 257.060 | − | 353.813i | 0.665959 | − | 0.916614i | ||||
\(387\) | 108.334 | + | 333.417i | 0.279932 | + | 0.861543i | ||||
\(388\) | 162.259 | − | 499.382i | 0.418194 | − | 1.28707i | ||||
\(389\) | 179.156 | − | 551.384i | 0.460554 | − | 1.41744i | −0.403935 | − | 0.914788i | \(-0.632358\pi\) |
0.864489 | − | 0.502652i | \(-0.167642\pi\) | |||||||
\(390\) | −156.068 | − | 50.7095i | −0.400173 | − | 0.130024i | ||||
\(391\) | 5.65003 | − | 17.3890i | 0.0144502 | − | 0.0444732i | ||||
\(392\) | −137.673 | − | 268.011i | −0.351208 | − | 0.683700i | ||||
\(393\) | −120.444 | + | 165.776i | −0.306472 | + | 0.421823i | ||||
\(394\) | 153.705 | − | 473.056i | 0.390115 | − | 1.20065i | ||||
\(395\) | 204.794 | − | 148.791i | 0.518465 | − | 0.376687i | ||||
\(396\) | 277.082i | 0.699702i | ||||||||
\(397\) | −168.967 | − | 520.026i | −0.425608 | − | 1.30989i | −0.902410 | − | 0.430877i | \(-0.858204\pi\) |
0.476802 | − | 0.879011i | \(-0.341796\pi\) | |||||||
\(398\) | 963.513 | − | 700.033i | 2.42089 | − | 1.75888i | ||||
\(399\) | 216.585 | + | 132.233i | 0.542821 | + | 0.331411i | ||||
\(400\) | −0.210370 | − | 0.152843i | −0.000525926 | − | 0.000382108i | ||||
\(401\) | −455.566 | −1.13608 | −0.568038 | − | 0.823003i | \(-0.692297\pi\) | ||||
−0.568038 | + | 0.823003i | \(0.692297\pi\) | |||||||
\(402\) | −164.241 | + | 226.059i | −0.408560 | + | 0.562335i | ||||
\(403\) | 24.7656 | + | 8.04683i | 0.0614531 | + | 0.0199673i | ||||
\(404\) | 225.977 | + | 695.486i | 0.559349 | + | 1.72150i | ||||
\(405\) | 60.7690 | + | 83.6414i | 0.150047 | + | 0.206522i | ||||
\(406\) | −629.345 | − | 734.412i | −1.55011 | − | 1.80890i | ||||
\(407\) | − | 17.0653i | − | 0.0419294i | ||||||
\(408\) | 9.32774 | + | 28.7078i | 0.0228621 | + | 0.0703623i | ||||
\(409\) | 377.122i | 0.922058i | 0.887385 | + | 0.461029i | \(0.152520\pi\) | ||||
−0.887385 | + | 0.461029i | \(0.847480\pi\) | |||||||
\(410\) | −603.108 | − | 235.317i | −1.47099 | − | 0.573944i | ||||
\(411\) | 112.671i | 0.274138i | ||||||||
\(412\) | 456.064 | − | 148.184i | 1.10695 | − | 0.359670i | ||||
\(413\) | 44.3916 | + | 552.402i | 0.107486 | + | 1.33754i | ||||
\(414\) | −90.5041 | + | 65.7551i | −0.218609 | + | 0.158829i | ||||
\(415\) | 220.696 | − | 160.345i | 0.531799 | − | 0.386374i | ||||
\(416\) | −58.1127 | − | 178.852i | −0.139694 | − | 0.429934i | ||||
\(417\) | 311.604 | + | 101.246i | 0.747252 | + | 0.242797i | ||||
\(418\) | 328.737 | − | 452.468i | 0.786453 | − | 1.08246i | ||||
\(419\) | 357.885i | 0.854142i | 0.904218 | + | 0.427071i | \(0.140454\pi\) | ||||
−0.904218 | + | 0.427071i | \(0.859546\pi\) | |||||||
\(420\) | −231.023 | + | 378.395i | −0.550055 | + | 0.900940i | ||||
\(421\) | 287.821 | − | 396.152i | 0.683661 | − | 0.940979i | −0.316309 | − | 0.948656i | \(-0.602444\pi\) |
0.999971 | + | 0.00767730i | \(0.00244379\pi\) | |||||||
\(422\) | 570.751 | + | 785.572i | 1.35249 | + | 1.86154i | ||||
\(423\) | 5.65336 | + | 17.3993i | 0.0133649 | + | 0.0411330i | ||||
\(424\) | 153.747i | 0.362611i | ||||||||
\(425\) | 0.110316 | − | 0.0801493i | 0.000259567 | − | 0.000188587i | ||||
\(426\) | −818.225 | − | 265.858i | −1.92072 | − | 0.624079i | ||||
\(427\) | −244.745 | + | 400.870i | −0.573174 | + | 0.938806i | ||||
\(428\) | −298.505 | − | 918.704i | −0.697442 | − | 2.14650i | ||||
\(429\) | −102.806 | − | 33.4038i | −0.239642 | − | 0.0778643i | ||||
\(430\) | 1175.78 | + | 382.033i | 2.73437 | + | 0.888450i | ||||
\(431\) | −89.2364 | + | 274.641i | −0.207045 | + | 0.637219i | 0.792578 | + | 0.609770i | \(0.208738\pi\) |
−0.999623 | + | 0.0274488i | \(0.991262\pi\) | |||||||
\(432\) | −38.9876 | + | 119.992i | −0.0902491 | + | 0.277758i | ||||
\(433\) | −755.378 | + | 245.437i | −1.74452 | + | 0.566830i | −0.995418 | − | 0.0956213i | \(-0.969516\pi\) |
−0.749105 | + | 0.662451i | \(0.769516\pi\) | |||||||
\(434\) | 61.3076 | − | 100.416i | 0.141262 | − | 0.231374i | ||||
\(435\) | −144.099 | + | 443.490i | −0.331261 | + | 1.01952i | ||||
\(436\) | 289.422 | + | 398.355i | 0.663812 | + | 0.913659i | ||||
\(437\) | 135.024 | 0.308979 | ||||||||
\(438\) | −164.130 | + | 53.3290i | −0.374726 | + | 0.121756i | ||||
\(439\) | 444.861 | − | 323.210i | 1.01335 | − | 0.736242i | 0.0484409 | − | 0.998826i | \(-0.484575\pi\) |
0.964909 | + | 0.262584i | \(0.0845747\pi\) | |||||||
\(440\) | 259.022 | + | 188.190i | 0.588686 | + | 0.427705i | ||||
\(441\) | 195.816 | + | 98.9611i | 0.444027 | + | 0.224402i | ||||
\(442\) | 35.5828 | 0.0805041 | ||||||||
\(443\) | 498.729 | + | 362.348i | 1.12580 | + | 0.817941i | 0.985078 | − | 0.172109i | \(-0.0550580\pi\) |
0.140721 | + | 0.990049i | \(0.455058\pi\) | |||||||
\(444\) | −6.41456 | + | 19.7420i | −0.0144472 | + | 0.0444640i | ||||
\(445\) | −337.399 | + | 109.628i | −0.758200 | + | 0.246354i | ||||
\(446\) | 786.670 | + | 1082.76i | 1.76384 | + | 2.42771i | ||||
\(447\) | 38.0282 | + | 52.3413i | 0.0850743 | + | 0.117095i | ||||
\(448\) | −724.072 | + | 58.1872i | −1.61623 | + | 0.129882i | ||||
\(449\) | 31.1466 | + | 95.8593i | 0.0693687 | + | 0.213495i | 0.979731 | − | 0.200317i | \(-0.0641971\pi\) |
−0.910362 | + | 0.413812i | \(0.864197\pi\) | |||||||
\(450\) | −0.834302 | −0.00185400 | ||||||||
\(451\) | −397.285 | − | 155.010i | −0.880897 | − | 0.343703i | ||||
\(452\) | 701.866 | 1.55280 | ||||||||
\(453\) | 42.4905 | − | 13.8060i | 0.0937981 | − | 0.0304768i | ||||
\(454\) | −1179.74 | −2.59855 | ||||||||
\(455\) | 111.430 | + | 130.033i | 0.244901 | + | 0.285787i | ||||
\(456\) | −180.340 | + | 131.025i | −0.395483 | + | 0.287335i | ||||
\(457\) | −676.280 | + | 219.737i | −1.47983 | + | 0.480825i | −0.934061 | − | 0.357114i | \(-0.883761\pi\) |
−0.545765 | + | 0.837938i | \(0.683761\pi\) | |||||||
\(458\) | −104.004 | + | 320.092i | −0.227084 | + | 0.698891i | ||||
\(459\) | −53.5249 | − | 38.8881i | −0.116612 | − | 0.0847236i | ||||
\(460\) | 235.899i | 0.512823i | ||||||||
\(461\) | −511.878 | + | 704.539i | −1.11036 | + | 1.52828i | −0.289484 | + | 0.957183i | \(0.593484\pi\) |
−0.820880 | + | 0.571101i | \(0.806516\pi\) | |||||||
\(462\) | −254.498 | + | 416.845i | −0.550863 | + | 0.902262i | ||||
\(463\) | −163.919 | − | 225.615i | −0.354036 | − | 0.487289i | 0.594439 | − | 0.804141i | \(-0.297374\pi\) |
−0.948475 | + | 0.316852i | \(0.897374\pi\) | |||||||
\(464\) | −183.385 | + | 59.5853i | −0.395226 | + | 0.128417i | ||||
\(465\) | −56.7244 | −0.121988 | ||||||||
\(466\) | −186.697 | − | 256.966i | −0.400637 | − | 0.551429i | ||||
\(467\) | −553.161 | − | 179.733i | −1.18450 | − | 0.384867i | −0.350463 | − | 0.936577i | \(-0.613976\pi\) |
−0.834037 | + | 0.551709i | \(0.813976\pi\) | |||||||
\(468\) | −105.322 | − | 76.5206i | −0.225046 | − | 0.163506i | ||||
\(469\) | 269.213 | − | 112.032i | 0.574014 | − | 0.238874i | ||||
\(470\) | 61.3576 | + | 19.9363i | 0.130548 | + | 0.0424176i | ||||
\(471\) | −40.1570 | + | 123.591i | −0.0852590 | + | 0.262400i | ||||
\(472\) | −462.987 | − | 150.434i | −0.980905 | − | 0.318715i | ||||
\(473\) | 774.519 | + | 251.656i | 1.63746 | + | 0.532043i | ||||
\(474\) | −322.602 | + | 104.820i | −0.680594 | + | 0.221138i | ||||
\(475\) | 0.814666 | + | 0.591890i | 0.00171509 | + | 0.00124608i | ||||
\(476\) | 22.2878 | − | 93.5142i | 0.0468230 | − | 0.196458i | ||||
\(477\) | −65.8055 | − | 90.5735i | −0.137957 | − | 0.189881i | ||||
\(478\) | 1132.74i | 2.36974i | ||||||||
\(479\) | 144.507 | + | 444.746i | 0.301685 | + | 0.928490i | 0.980894 | + | 0.194545i | \(0.0623229\pi\) |
−0.679209 | + | 0.733945i | \(0.737677\pi\) | |||||||
\(480\) | 240.788 | + | 331.416i | 0.501642 | + | 0.690450i | ||||
\(481\) | 6.48667 | + | 4.71284i | 0.0134858 | + | 0.00979800i | ||||
\(482\) | 733.830 | − | 1010.03i | 1.52247 | − | 2.09550i | ||||
\(483\) | −117.531 | + | 9.44492i | −0.243336 | + | 0.0195547i | ||||
\(484\) | −61.6689 | − | 44.8051i | −0.127415 | − | 0.0925725i | ||||
\(485\) | 420.184 | + | 136.526i | 0.866359 | + | 0.281497i | ||||
\(486\) | 208.622 | + | 642.073i | 0.429264 | + | 1.32114i | ||||
\(487\) | −379.920 | + | 276.028i | −0.780123 | + | 0.566792i | −0.905016 | − | 0.425378i | \(-0.860141\pi\) |
0.124893 | + | 0.992170i | \(0.460141\pi\) | |||||||
\(488\) | −242.509 | − | 333.785i | −0.496945 | − | 0.683986i | ||||
\(489\) | −301.246 | −0.616046 | ||||||||
\(490\) | 688.218 | − | 353.528i | 1.40453 | − | 0.721486i | ||||
\(491\) | −0.385793 | −0.000785728 | −0.000392864 | − | 1.00000i | \(-0.500125\pi\) | ||||
−0.000392864 | 1.00000i | \(0.500125\pi\) | ||||||||
\(492\) | 401.334 | + | 328.657i | 0.815720 | + | 0.668002i | ||||
\(493\) | − | 101.114i | − | 0.205099i | ||||||
\(494\) | 81.2015 | + | 249.912i | 0.164375 | + | 0.505896i | ||||
\(495\) | −233.139 | −0.470988 | ||||||||
\(496\) | −13.7870 | − | 18.9761i | −0.0277963 | − | 0.0382583i | ||||
\(497\) | 584.201 | + | 681.732i | 1.17545 | + | 1.37169i | ||||
\(498\) | −347.653 | + | 112.959i | −0.698098 | + | 0.226826i | ||||
\(499\) | −588.259 | − | 191.137i | −1.17887 | − | 0.383040i | −0.346926 | − | 0.937892i | \(-0.612775\pi\) |
−0.831949 | + | 0.554853i | \(0.812775\pi\) | |||||||
\(500\) | 436.606 | − | 600.936i | 0.873211 | − | 1.20187i | ||||
\(501\) | 336.820 | 0.672295 | ||||||||
\(502\) | −549.106 | + | 755.780i | −1.09384 | + | 1.50554i | ||||
\(503\) | −8.47902 | − | 6.16037i | −0.0168569 | − | 0.0122473i | 0.579325 | − | 0.815097i | \(-0.303316\pi\) |
−0.596182 | + | 0.802849i | \(0.703316\pi\) | |||||||
\(504\) | −146.347 | + | 125.410i | −0.290370 | + | 0.248829i | ||||
\(505\) | −585.188 | + | 190.139i | −1.15879 | + | 0.376513i | ||||
\(506\) | 259.869i | 0.513576i | ||||||||
\(507\) | −249.668 | + | 181.394i | −0.492441 | + | 0.357780i | ||||
\(508\) | 3.53291 | − | 10.8732i | 0.00695455 | − | 0.0214039i | ||||
\(509\) | −711.837 | − | 517.180i | −1.39850 | − | 1.01607i | −0.994871 | − | 0.101148i | \(-0.967749\pi\) |
−0.403629 | − | 0.914923i | \(-0.632251\pi\) | |||||||
\(510\) | −73.7181 | + | 23.9525i | −0.144545 | + | 0.0469656i | ||||
\(511\) | 175.185 | + | 41.7529i | 0.342828 | + | 0.0817082i | ||||
\(512\) | −85.8032 | + | 264.075i | −0.167584 | + | 0.515771i | ||||
\(513\) | 150.981 | − | 464.671i | 0.294310 | − | 0.905792i | ||||
\(514\) | 313.781 | − | 965.719i | 0.610469 | − | 1.87883i | ||||
\(515\) | 124.683 | + | 383.736i | 0.242104 | + | 0.745118i | ||||
\(516\) | −801.411 | − | 582.259i | −1.55312 | − | 1.12841i | ||||
\(517\) | 40.4180 | + | 13.1326i | 0.0781780 | + | 0.0254016i | ||||
\(518\) | 27.5077 | − | 23.5723i | 0.0531037 | − | 0.0455065i | ||||
\(519\) | 54.2748i | 0.104576i | ||||||||
\(520\) | −143.066 | + | 46.4850i | −0.275127 | + | 0.0893942i | ||||
\(521\) | 82.8284 | − | 60.1784i | 0.158980 | − | 0.115506i | −0.505451 | − | 0.862855i | \(-0.668674\pi\) |
0.664431 | + | 0.747350i | \(0.268674\pi\) | |||||||
\(522\) | −363.640 | + | 500.508i | −0.696629 | + | 0.958827i | ||||
\(523\) | 472.019 | − | 649.678i | 0.902522 | − | 1.24221i | −0.0671346 | − | 0.997744i | \(-0.521386\pi\) |
0.969657 | − | 0.244471i | \(-0.0786143\pi\) | |||||||
\(524\) | 573.265i | 1.09402i | ||||||||
\(525\) | −0.750527 | − | 0.458223i | −0.00142958 | − | 0.000872806i | ||||
\(526\) | 1347.90 | + | 437.958i | 2.56254 | + | 0.832619i | ||||
\(527\) | 11.6980 | − | 3.80090i | 0.0221973 | − | 0.00721233i | ||||
\(528\) | 57.2321 | + | 78.7732i | 0.108394 | + | 0.149192i | ||||
\(529\) | 377.213 | − | 274.062i | 0.713069 | − | 0.518075i | ||||
\(530\) | −394.803 | −0.744912 | ||||||||
\(531\) | 337.136 | − | 109.542i | 0.634908 | − | 0.206294i | ||||
\(532\) | 707.650 | − | 56.8675i | 1.33017 | − | 0.106894i | ||||
\(533\) | 168.637 | − | 108.203i | 0.316393 | − | 0.203008i | ||||
\(534\) | 475.378 | 0.890222 | ||||||||
\(535\) | 773.005 | − | 251.165i | 1.44487 | − | 0.469467i | ||||
\(536\) | 256.146i | 0.477884i | ||||||||
\(537\) | −84.2704 | − | 115.988i | −0.156928 | − | 0.215993i | ||||
\(538\) | −28.2517 | − | 38.8851i | −0.0525124 | − | 0.0722771i | ||||
\(539\) | 453.349 | − | 232.879i | 0.841093 | − | 0.432058i | ||||
\(540\) | 811.824 | + | 263.777i | 1.50338 | + | 0.488477i | ||||
\(541\) | −651.146 | − | 473.085i | −1.20360 | − | 0.874464i | −0.208963 | − | 0.977924i | \(-0.567009\pi\) |
−0.994634 | + | 0.103459i | \(0.967009\pi\) | |||||||
\(542\) | − | 798.804i | − | 1.47381i | ||||||
\(543\) | 42.4666 | + | 30.8538i | 0.0782073 | + | 0.0568210i | ||||
\(544\) | −71.8633 | − | 52.2118i | −0.132102 | − | 0.0959775i | ||||
\(545\) | −335.180 | + | 243.522i | −0.615008 | + | 0.446830i | ||||
\(546\) | −88.1630 | − | 211.856i | −0.161471 | − | 0.388014i | ||||
\(547\) | − | 197.051i | − | 0.360240i | −0.983645 | − | 0.180120i | \(-0.942351\pi\) | ||
0.983645 | − | 0.180120i | \(-0.0576486\pi\) | |||||||
\(548\) | 185.277 | + | 255.011i | 0.338096 | + | 0.465349i | ||||
\(549\) | 285.728 | + | 92.8386i | 0.520451 | + | 0.169105i | ||||
\(550\) | −1.13916 | + | 1.56792i | −0.00207121 | + | 0.00285077i | ||||
\(551\) | 710.164 | − | 230.746i | 1.28886 | − | 0.418777i | ||||
\(552\) | 32.0068 | − | 98.5069i | 0.0579834 | − | 0.178454i | ||||
\(553\) | 344.332 | + | 82.0665i | 0.622661 | + | 0.148402i | ||||
\(554\) | 201.001 | − | 618.617i | 0.362817 | − | 1.11664i | ||||
\(555\) | −16.6111 | − | 5.39727i | −0.0299299 | − | 0.00972481i | ||||
\(556\) | 871.754 | − | 283.250i | 1.56790 | − | 0.509442i | ||||
\(557\) | 359.531 | − | 494.851i | 0.645477 | − | 0.888422i | −0.353416 | − | 0.935466i | \(-0.614980\pi\) |
0.998893 | + | 0.0470437i | \(0.0149800\pi\) | |||||||
\(558\) | −71.5735 | − | 23.2556i | −0.128268 | − | 0.0416768i | ||||
\(559\) | −309.553 | + | 224.903i | −0.553762 | + | 0.402331i | ||||
\(560\) | −12.3559 | − | 153.755i | −0.0220642 | − | 0.274563i | ||||
\(561\) | −48.5603 | + | 15.7782i | −0.0865602 | + | 0.0281251i | ||||
\(562\) | −663.492 | − | 913.218i | −1.18059 | − | 1.62494i | ||||
\(563\) | −145.273 | − | 105.547i | −0.258035 | − | 0.187473i | 0.451246 | − | 0.892400i | \(-0.350980\pi\) |
−0.709280 | + | 0.704927i | \(0.750980\pi\) | |||||||
\(564\) | −41.8214 | − | 30.3850i | −0.0741514 | − | 0.0538742i | ||||
\(565\) | 590.556i | 1.04523i | ||||||||
\(566\) | 520.644 | − | 716.605i | 0.919866 | − | 1.26609i | ||||
\(567\) | −33.5174 | + | 140.631i | −0.0591136 | + | 0.248027i | ||||
\(568\) | −750.061 | + | 243.710i | −1.32053 | + | 0.429066i | ||||
\(569\) | −240.320 | + | 174.603i | −0.422355 | + | 0.306859i | −0.778585 | − | 0.627540i | \(-0.784062\pi\) |
0.356230 | + | 0.934398i | \(0.384062\pi\) | |||||||
\(570\) | −336.456 | − | 463.091i | −0.590273 | − | 0.812441i | ||||
\(571\) | 836.599i | 1.46515i | 0.680687 | + | 0.732574i | \(0.261681\pi\) | ||||
−0.680687 | + | 0.732574i | \(0.738319\pi\) | |||||||
\(572\) | −287.614 | + | 93.4515i | −0.502822 | + | 0.163377i | ||||
\(573\) | 227.158i | 0.396436i | ||||||||
\(574\) | −298.909 | − | 854.505i | −0.520748 | − | 1.48868i | ||||
\(575\) | −0.467894 | −0.000813728 | ||||||||
\(576\) | 143.585 | + | 441.908i | 0.249279 | + | 0.767202i | ||||
\(577\) | 406.811 | 0.705045 | 0.352522 | − | 0.935803i | \(-0.385324\pi\) | ||||
0.352522 | + | 0.935803i | \(0.385324\pi\) | |||||||
\(578\) | −723.890 | + | 525.937i | −1.25240 | + | 0.909925i | ||||
\(579\) | −173.309 | − | 238.539i | −0.299324 | − | 0.411985i | ||||
\(580\) | 403.135 | + | 1240.72i | 0.695060 | + | 2.13918i | ||||
\(581\) | 371.070 | + | 88.4392i | 0.638675 | + | 0.152219i | ||||
\(582\) | −478.953 | − | 347.980i | −0.822943 | − | 0.597903i | ||||
\(583\) | −260.068 | −0.446087 | ||||||||
\(584\) | −92.9872 | + | 127.986i | −0.159225 | + | 0.219154i | ||||
\(585\) | 64.3851 | − | 88.6185i | 0.110060 | − | 0.151485i | ||||
\(586\) | −436.627 | + | 317.228i | −0.745097 | + | 0.541345i | ||||
\(587\) | −220.146 | − | 677.538i | −0.375035 | − | 1.15424i | −0.943455 | − | 0.331501i | \(-0.892445\pi\) |
0.568420 | − | 0.822739i | \(-0.307555\pi\) | |||||||
\(588\) | −611.994 | + | 99.0003i | −1.04081 | + | 0.168368i | ||||
\(589\) | 53.3905 | + | 73.4857i | 0.0906460 | + | 0.124763i | ||||
\(590\) | 386.295 | − | 1188.89i | 0.654737 | − | 2.01507i | ||||
\(591\) | −271.300 | − | 197.111i | −0.459053 | − | 0.333521i | ||||
\(592\) | −2.23179 | − | 6.86875i | −0.00376992 | − | 0.0116026i | ||||
\(593\) | −158.331 | + | 487.292i | −0.267000 | + | 0.821741i | 0.724226 | + | 0.689562i | \(0.242197\pi\) |
−0.991226 | + | 0.132178i | \(0.957803\pi\) | |||||||
\(594\) | 894.317 | + | 290.581i | 1.50558 | + | 0.489194i | ||||
\(595\) | 78.6837 | + | 18.7531i | 0.132241 | + | 0.0315178i | ||||
\(596\) | 172.141 | + | 55.9320i | 0.288827 | + | 0.0938456i | ||||
\(597\) | −248.124 | − | 763.646i | −0.415618 | − | 1.27914i | ||||
\(598\) | −98.7789 | − | 71.7671i | −0.165182 | − | 0.120012i | ||||
\(599\) | 112.399 | − | 345.929i | 0.187645 | − | 0.577511i | −0.812339 | − | 0.583185i | \(-0.801806\pi\) |
0.999984 | + | 0.00567422i | \(0.00180617\pi\) | |||||||
\(600\) | 0.624928 | − | 0.454037i | 0.00104155 | − | 0.000756728i | ||||
\(601\) | −701.549 | −1.16730 | −0.583651 | − | 0.812005i | \(-0.698376\pi\) | ||||
−0.583651 | + | 0.812005i | \(0.698376\pi\) | |||||||
\(602\) | 664.200 | + | 1596.07i | 1.10332 | + | 2.65128i | ||||
\(603\) | −109.633 | − | 150.897i | −0.181813 | − | 0.250244i | ||||
\(604\) | 73.4675 | − | 101.119i | 0.121635 | − | 0.167416i | ||||
\(605\) | 37.6994 | − | 51.8888i | 0.0623131 | − | 0.0857666i | ||||
\(606\) | 824.500 | 1.36056 | ||||||||
\(607\) | −336.789 | + | 463.551i | −0.554842 | + | 0.763675i | −0.990659 | − | 0.136360i | \(-0.956460\pi\) |
0.435817 | + | 0.900035i | \(0.356460\pi\) | |||||||
\(608\) | 202.709 | − | 623.875i | 0.333403 | − | 1.02611i | ||||
\(609\) | −602.020 | + | 250.529i | −0.988539 | + | 0.411377i | ||||
\(610\) | 857.119 | − | 622.733i | 1.40511 | − | 1.02087i | ||||
\(611\) | −16.1539 | + | 11.7365i | −0.0264385 | + | 0.0192087i | ||||
\(612\) | −61.4923 | −0.100478 | ||||||||
\(613\) | −168.986 | − | 520.086i | −0.275671 | − | 0.848427i | −0.989041 | − | 0.147640i | \(-0.952832\pi\) |
0.713370 | − | 0.700787i | \(-0.247168\pi\) | |||||||
\(614\) | 13.7811i | 0.0224448i | ||||||||
\(615\) | −276.535 | + | 337.686i | −0.449650 | + | 0.549083i | ||||
\(616\) | 35.8626 | + | 446.269i | 0.0582185 | + | 0.724462i | ||||
\(617\) | 46.8071 | + | 144.057i | 0.0758624 | + | 0.233480i | 0.981796 | − | 0.189940i | \(-0.0608293\pi\) |
−0.905933 | + | 0.423420i | \(0.860829\pi\) | |||||||
\(618\) | − | 540.664i | − | 0.874862i | ||||||
\(619\) | −480.350 | − | 661.145i | −0.776009 | − | 1.06809i | −0.995711 | − | 0.0925179i | \(-0.970508\pi\) |
0.219702 | − | 0.975567i | \(-0.429492\pi\) | |||||||
\(620\) | −128.386 | + | 93.2780i | −0.207075 | + | 0.150448i | ||||
\(621\) | 70.1531 | + | 215.909i | 0.112968 | + | 0.347680i | ||||
\(622\) | −308.571 | + | 949.683i | −0.496094 | + | 1.52682i | ||||
\(623\) | −423.406 | − | 258.504i | −0.679624 | − | 0.414935i | ||||
\(624\) | −45.7480 | −0.0733141 | ||||||||
\(625\) | 506.828 | + | 368.232i | 0.810924 | + | 0.589171i | ||||
\(626\) | −207.498 | − | 150.756i | −0.331467 | − | 0.240825i | ||||
\(627\) | −221.633 | − | 305.052i | −0.353482 | − | 0.486526i | ||||
\(628\) | 112.345 | + | 345.761i | 0.178893 | + | 0.550575i | ||||
\(629\) | 3.78726 | 0.00602108 | ||||||||
\(630\) | −322.037 | − | 375.800i | −0.511169 | − | 0.596508i | ||||
\(631\) | 219.836 | − | 676.586i | 0.348393 | − | 1.07224i | −0.611349 | − | 0.791361i | \(-0.709373\pi\) |
0.959742 | − | 0.280883i | \(-0.0906273\pi\) | |||||||
\(632\) | −182.769 | + | 251.560i | −0.289191 | + | 0.398038i | ||||
\(633\) | 622.616 | − | 202.300i | 0.983596 | − | 0.319590i | ||||
\(634\) | −221.703 | − | 72.0357i | −0.349689 | − | 0.113621i | ||||
\(635\) | 9.14879 | + | 2.97262i | 0.0144075 | + | 0.00468129i | ||||
\(636\) | 300.861 | + | 97.7557i | 0.473052 | + | 0.153704i | ||||
\(637\) | −36.6799 | + | 236.636i | −0.0575822 | + | 0.371485i | ||||
\(638\) | 444.099 | + | 1366.80i | 0.696080 | + | 2.14231i | ||||
\(639\) | 337.556 | − | 464.606i | 0.528256 | − | 0.727082i | ||||
\(640\) | 825.546 | + | 268.236i | 1.28992 | + | 0.419119i | ||||
\(641\) | −233.215 | − | 320.993i | −0.363830 | − | 0.500770i | 0.587381 | − | 0.809311i | \(-0.300159\pi\) |
−0.951211 | + | 0.308541i | \(0.900159\pi\) | |||||||
\(642\) | −1089.13 | −1.69646 | ||||||||
\(643\) | 216.249 | + | 665.545i | 0.336312 | + | 1.03506i | 0.966072 | + | 0.258272i | \(0.0831531\pi\) |
−0.629760 | + | 0.776789i | \(0.716847\pi\) | |||||||
\(644\) | −250.481 | + | 214.646i | −0.388945 | + | 0.333301i | ||||
\(645\) | 489.918 | − | 674.314i | 0.759563 | − | 1.04545i | ||||
\(646\) | 100.415 | + | 72.9561i | 0.155442 | + | 0.112935i | ||||
\(647\) | − | 979.185i | − | 1.51342i | −0.653749 | − | 0.756712i | \(-0.726805\pi\) | ||
0.653749 | − | 0.756712i | \(-0.273195\pi\) | |||||||
\(648\) | −102.742 | − | 74.6461i | −0.158552 | − | 0.115195i | ||||
\(649\) | 254.464 | − | 783.159i | 0.392086 | − | 1.20672i | ||||
\(650\) | −0.281385 | − | 0.866014i | −0.000432900 | − | 0.00133233i | ||||
\(651\) | −51.6140 | − | 60.2308i | −0.0792841 | − | 0.0925204i | ||||
\(652\) | −681.821 | + | 495.372i | −1.04574 | + | 0.759772i | ||||
\(653\) | 102.886i | 0.157559i | 0.996892 | + | 0.0787793i | \(0.0251022\pi\) | ||||
−0.996892 | + | 0.0787793i | \(0.974898\pi\) | |||||||
\(654\) | 527.993 | − | 171.555i | 0.807328 | − | 0.262317i | ||||
\(655\) | −482.350 | −0.736413 | ||||||||
\(656\) | −180.179 | − | 10.4346i | −0.274663 | − | 0.0159064i | ||||
\(657\) | − | 115.197i | − | 0.175338i | ||||||
\(658\) | 34.6611 | + | 83.2905i | 0.0526764 | + | 0.126581i | ||||
\(659\) | 228.108i | 0.346142i | 0.984909 | + | 0.173071i | \(0.0553690\pi\) | ||||
−0.984909 | + | 0.173071i | \(0.944631\pi\) | |||||||
\(660\) | 532.954 | − | 387.213i | 0.807505 | − | 0.586687i | ||||
\(661\) | 46.4132 | + | 63.8823i | 0.0702167 | + | 0.0966450i | 0.842681 | − | 0.538413i | \(-0.180976\pi\) |
−0.772464 | + | 0.635058i | \(0.780976\pi\) | |||||||
\(662\) | 565.759 | − | 183.826i | 0.854621 | − | 0.277683i | ||||
\(663\) | 7.41325 | − | 22.8156i | 0.0111814 | − | 0.0344127i | ||||
\(664\) | −196.962 | + | 271.094i | −0.296629 | + | 0.408275i | ||||
\(665\) | 47.8488 | + | 595.422i | 0.0719530 | + | 0.895372i | ||||
\(666\) | −18.7467 | − | 13.6203i | −0.0281482 | − | 0.0204509i | ||||
\(667\) | −203.937 | + | 280.695i | −0.305753 | + | 0.420832i | ||||
\(668\) | 762.335 | − | 553.869i | 1.14122 | − | 0.829145i | ||||
\(669\) | 858.156 | − | 278.832i | 1.28274 | − | 0.416789i | ||||
\(670\) | −657.750 | −0.981717 | ||||||||
\(671\) | 564.609 | − | 410.213i | 0.841445 | − | 0.611345i | ||||
\(672\) | −132.808 | + | 557.230i | −0.197631 | + | 0.829211i | ||||
\(673\) | 492.073 | − | 677.280i | 0.731163 | − | 1.00636i | −0.267916 | − | 0.963442i | \(-0.586335\pi\) |
0.999079 | − | 0.0429169i | \(-0.0136651\pi\) | |||||||
\(674\) | −212.944 | − | 655.374i | −0.315941 | − | 0.972365i | ||||
\(675\) | −0.523190 | + | 1.61021i | −0.000775096 | + | 0.00238550i | ||||
\(676\) | −266.795 | + | 821.111i | −0.394667 | + | 1.21466i | ||||
\(677\) | −62.8236 | − | 20.4126i | −0.0927970 | − | 0.0301516i | 0.262251 | − | 0.965000i | \(-0.415535\pi\) |
−0.355048 | + | 0.934848i | \(0.615535\pi\) | |||||||
\(678\) | 244.537 | − | 752.608i | 0.360674 | − | 1.11004i | ||||
\(679\) | 237.363 | + | 570.384i | 0.349578 | + | 0.840035i | ||||
\(680\) | −41.7648 | + | 57.4843i | −0.0614188 | + | 0.0845357i | ||||
\(681\) | −245.785 | + | 756.448i | −0.360917 | + | 1.11079i | ||||
\(682\) | −141.432 | + | 102.756i | −0.207378 | + | 0.150669i | ||||
\(683\) | − | 483.239i | − | 0.707524i | −0.935335 | − | 0.353762i | \(-0.884902\pi\) | ||
0.935335 | − | 0.353762i | \(-0.115098\pi\) | |||||||
\(684\) | −140.328 | − | 431.886i | −0.205158 | − | 0.631412i | ||||
\(685\) | −214.569 | + | 155.893i | −0.313239 | + | 0.227581i | ||||
\(686\) | 1001.60 | + | 409.082i | 1.46005 | + | 0.596329i | ||||
\(687\) | 183.574 | + | 133.375i | 0.267212 | + | 0.194141i | ||||
\(688\) | 344.655 | 0.500952 | ||||||||
\(689\) | 71.8220 | − | 98.8546i | 0.104241 | − | 0.143475i | ||||
\(690\) | 252.953 | + | 82.1895i | 0.366599 | + | 0.119115i | ||||
\(691\) | −289.242 | − | 890.196i | −0.418585 | − | 1.28827i | −0.909005 | − | 0.416786i | \(-0.863156\pi\) |
0.490419 | − | 0.871487i | \(-0.336844\pi\) | |||||||
\(692\) | 89.2499 | + | 122.842i | 0.128974 | + | 0.177517i | ||||
\(693\) | −212.135 | − | 247.550i | −0.306111 | − | 0.357216i | ||||
\(694\) | 791.080i | 1.13988i | ||||||||
\(695\) | 238.329 | + | 733.501i | 0.342919 | + | 1.05540i | ||||
\(696\) | − | 572.799i | − | 0.822988i | ||||||
\(697\) | 34.4011 | − | 88.1687i | 0.0493560 | − | 0.126497i | ||||
\(698\) | 159.165i | 0.228030i | ||||||||
\(699\) | −203.662 | + | 66.1738i | −0.291362 | + | 0.0946692i | ||||
\(700\) | −2.45220 | + | 0.197061i | −0.00350314 | + | 0.000281516i | ||||
\(701\) | −576.161 | + | 418.606i | −0.821914 | + | 0.597155i | −0.917260 | − | 0.398289i | \(-0.869604\pi\) |
0.0953463 | + | 0.995444i | \(0.469604\pi\) | |||||||
\(702\) | −357.432 | + | 259.690i | −0.509163 | + | 0.369929i | ||||
\(703\) | 8.64269 | + | 26.5995i | 0.0122940 | + | 0.0378371i | ||||
\(704\) | 1026.54 | + | 333.543i | 1.45815 | + | 0.473783i | ||||
\(705\) | 25.5662 | − | 35.1889i | 0.0362641 | − | 0.0499133i | ||||
\(706\) | 1130.18i | 1.60083i | ||||||||
\(707\) | −734.359 | − | 448.352i | −1.03870 | − | 0.634161i | ||||
\(708\) | −588.755 | + | 810.351i | −0.831574 | + | 1.14456i | ||||
\(709\) | −347.202 | − | 477.882i | −0.489707 | − | 0.674023i | 0.490627 | − | 0.871370i | \(-0.336768\pi\) |
−0.980334 | + | 0.197346i | \(0.936768\pi\) | |||||||
\(710\) | −625.816 | − | 1926.06i | −0.881431 | − | 2.71276i | ||||
\(711\) | − | 226.423i | − | 0.318457i | ||||||
\(712\) | 352.550 | − | 256.142i | 0.495154 | − | 0.359751i | ||||
\(713\) | −40.1399 | − | 13.0422i | −0.0562972 | − | 0.0182921i | ||||
\(714\) | −92.5097 | − | 56.4804i | −0.129565 | − | 0.0791042i | ||||
\(715\) | −78.6309 | − | 242.001i | −0.109973 | − | 0.338463i | ||||
\(716\) | −381.464 | − | 123.945i | −0.532770 | − | 0.173108i | ||||
\(717\) | 726.308 | + | 235.992i | 1.01298 | + | 0.329138i | ||||
\(718\) | 225.286 | − | 693.360i | 0.313769 | − | 0.965683i | ||||
\(719\) | 118.489 | − | 364.671i | 0.164797 | − | 0.507192i | −0.834225 | − | 0.551425i | \(-0.814084\pi\) |
0.999021 | + | 0.0442329i | \(0.0140844\pi\) | |||||||
\(720\) | −93.8383 | + | 30.4899i | −0.130331 | + | 0.0423471i | ||||
\(721\) | −294.006 | + | 481.555i | −0.407775 | + | 0.667898i | ||||
\(722\) | 68.6275 | − | 211.214i | 0.0950520 | − | 0.292540i | ||||
\(723\) | −494.745 | − | 680.958i | −0.684294 | − | 0.941850i | ||||
\(724\) | 146.852 | 0.202834 | ||||||||
\(725\) | −2.46091 | + | 0.799598i | −0.00339436 | + | 0.00110289i | ||||
\(726\) | −69.5305 | + | 50.5168i | −0.0957720 | + | 0.0695824i | ||||
\(727\) | 521.495 | + | 378.888i | 0.717324 | + | 0.521166i | 0.885528 | − | 0.464586i | \(-0.153797\pi\) |
−0.168204 | + | 0.985752i | \(0.553797\pi\) | |||||||
\(728\) | −179.535 | − | 109.612i | −0.246614 | − | 0.150567i | ||||
\(729\) | 641.036 | 0.879336 | ||||||||
\(730\) | −328.652 | − | 238.780i | −0.450208 | − | 0.327095i | ||||
\(731\) | −55.8497 | + | 171.888i | −0.0764018 | + | 0.235140i | ||||
\(732\) | −807.363 | + | 262.328i | −1.10295 | + | 0.358372i | ||||
\(733\) | 170.795 | + | 235.079i | 0.233008 | + | 0.320707i | 0.909470 | − | 0.415770i | \(-0.136488\pi\) |
−0.676462 | + | 0.736477i | \(0.736488\pi\) | |||||||
\(734\) | −542.909 | − | 747.250i | −0.739658 | − | 1.01805i | ||||
\(735\) | −83.2997 | − | 514.937i | −0.113333 | − | 0.700595i | ||||
\(736\) | 94.1886 | + | 289.883i | 0.127974 | + | 0.393862i | ||||
\(737\) | −433.279 | −0.587896 | ||||||||
\(738\) | −487.368 | + | 312.711i | −0.660391 | + | 0.423728i | ||||
\(739\) | −1413.87 | −1.91322 | −0.956609 | − | 0.291375i | \(-0.905887\pi\) | ||||
−0.956609 | + | 0.291375i | \(0.905887\pi\) | |||||||
\(740\) | −46.4717 | + | 15.0996i | −0.0627996 | + | 0.0204048i | ||||
\(741\) | 177.161 | 0.239083 | ||||||||
\(742\) | −359.234 | − | 419.208i | −0.484143 | − | 0.564970i | ||||
\(743\) | −1129.47 | + | 820.608i | −1.52015 | + | 1.10445i | −0.558735 | + | 0.829347i | \(0.688713\pi\) |
−0.961414 | + | 0.275106i | \(0.911287\pi\) | |||||||
\(744\) | 66.2677 | − | 21.5317i | 0.0890694 | − | 0.0289404i | ||||
\(745\) | −47.0616 | + | 144.841i | −0.0631700 | + | 0.194417i | ||||
\(746\) | −1292.65 | − | 939.167i | −1.73278 | − | 1.25894i | ||||
\(747\) | − | 244.005i | − | 0.326647i | ||||||
\(748\) | −83.9623 | + | 115.564i | −0.112249 | + | 0.154498i | ||||
\(749\) | 970.053 | + | 592.251i | 1.29513 | + | 0.790723i | ||||
\(750\) | −492.264 | − | 677.543i | −0.656352 | − | 0.903391i | ||||
\(751\) | 502.925 | − | 163.410i | 0.669673 | − | 0.217590i | 0.0456046 | − | 0.998960i | \(-0.485479\pi\) |
0.624069 | + | 0.781370i | \(0.285479\pi\) | |||||||
\(752\) | 17.9857 | 0.0239172 | ||||||||
\(753\) | 370.205 | + | 509.543i | 0.491640 | + | 0.676684i | ||||
\(754\) | −642.178 | − | 208.656i | −0.851695 | − | 0.276732i | ||||
\(755\) | 85.0826 | + | 61.8161i | 0.112692 | + | 0.0818757i | ||||
\(756\) | 458.601 | + | 1102.02i | 0.606616 | + | 1.45770i | ||||
\(757\) | 94.1290 | + | 30.5844i | 0.124345 | + | 0.0404021i | 0.370528 | − | 0.928821i | \(-0.379177\pi\) |
−0.246184 | + | 0.969223i | \(0.579177\pi\) | |||||||
\(758\) | −56.9578 | + | 175.298i | −0.0751423 | + | 0.231264i | ||||
\(759\) | 166.628 | + | 54.1406i | 0.219536 | + | 0.0713315i | ||||
\(760\) | −499.044 | − | 162.149i | −0.656637 | − | 0.213354i | ||||
\(761\) | 607.194 | − | 197.289i | 0.797890 | − | 0.259250i | 0.118430 | − | 0.992962i | \(-0.462214\pi\) |
0.679460 | + | 0.733712i | \(0.262214\pi\) | |||||||
\(762\) | −10.4284 | − | 7.57666i | −0.0136855 | − | 0.00994312i | ||||
\(763\) | −563.558 | − | 134.316i | −0.738607 | − | 0.176036i | ||||
\(764\) | 373.540 | + | 514.133i | 0.488926 | + | 0.672949i | ||||
\(765\) | − | 51.7402i | − | 0.0676342i | ||||||
\(766\) | 592.171 | + | 1822.52i | 0.773070 | + | 2.37926i | ||||
\(767\) | 227.412 | + | 313.006i | 0.296496 | + | 0.408091i | ||||
\(768\) | −226.869 | − | 164.830i | −0.295402 | − | 0.214622i | ||||
\(769\) | 516.500 | − | 710.901i | 0.671652 | − | 0.924449i | −0.328145 | − | 0.944627i | \(-0.606423\pi\) |
0.999796 | + | 0.0201782i | \(0.00642336\pi\) | |||||||
\(770\) | −1145.96 | + | 92.0907i | −1.48826 | + | 0.119598i | ||||
\(771\) | −553.845 | − | 402.392i | −0.718346 | − | 0.521909i | ||||
\(772\) | −784.511 | − | 254.903i | −1.01621 | − | 0.330185i | ||||
\(773\) | 291.546 | + | 897.287i | 0.377162 | + | 1.16078i | 0.942009 | + | 0.335589i | \(0.108935\pi\) |
−0.564847 | + | 0.825196i | \(0.691065\pi\) | |||||||
\(774\) | 894.619 | − | 649.979i | 1.15584 | − | 0.839766i | ||||
\(775\) | −0.185012 | − | 0.254648i | −0.000238726 | − | 0.000328578i | ||||
\(776\) | −542.699 | −0.699354 | ||||||||
\(777\) | −9.38365 | − | 22.5489i | −0.0120768 | − | 0.0290205i | ||||
\(778\) | −1828.72 | −2.35054 | ||||||||
\(779\) | 697.749 | + | 40.4083i | 0.895698 | + | 0.0518721i | ||||
\(780\) | 309.516i | 0.396815i | ||||||||
\(781\) | −412.243 | − | 1268.75i | −0.527840 | − | 1.62452i | ||||
\(782\) | −57.6724 | −0.0737498 | ||||||||
\(783\) | 737.948 | + | 1015.70i | 0.942462 | + | 1.29719i | ||||
\(784\) | 152.017 | − | 153.023i | 0.193899 | − | 0.195182i | ||||
\(785\) | −290.926 | + | 94.5276i | −0.370607 | + | 0.120417i | ||||
\(786\) | 614.710 | + | 199.732i | 0.782074 | + | 0.254111i | ||||
\(787\) | 512.157 | − | 704.924i | 0.650772 | − | 0.895710i | −0.348361 | − | 0.937361i | \(-0.613261\pi\) |
0.999132 | + | 0.0416502i | \(0.0132615\pi\) | |||||||
\(788\) | −938.173 | −1.19058 | ||||||||
\(789\) | 561.635 | − | 773.025i | 0.711832 | − | 0.979752i | ||||
\(790\) | −645.974 | − | 469.328i | −0.817689 | − | 0.594086i | ||||
\(791\) | −627.060 | + | 537.351i | −0.792744 | + | 0.679331i | ||||
\(792\) | 272.362 | − | 88.4958i | 0.343892 | − | 0.111737i | ||||
\(793\) | 327.900i | 0.413493i | ||||||||
\(794\) | −1395.32 | + | 1013.76i | −1.75734 | + | 1.27678i | ||||
\(795\) | −82.2525 | + | 253.147i | −0.103462 | + | 0.318424i | ||||
\(796\) | −1817.33 | − | 1320.37i | −2.28308 | − | 1.65875i | ||||
\(797\) | 31.0750 | − | 10.0969i | 0.0389900 | − | 0.0126686i | −0.289457 | − | 0.957191i | \(-0.593475\pi\) |
0.328447 | + | 0.944522i | \(0.393475\pi\) | |||||||
\(798\) | 185.574 | − | 778.623i | 0.232548 | − | 0.975719i | ||||
\(799\) | −2.91450 | + | 8.96991i | −0.00364768 | + | 0.0112264i | ||||
\(800\) | −0.702442 | + | 2.16190i | −0.000878053 | + | 0.00270237i | ||||
\(801\) | −98.0577 | + | 301.791i | −0.122419 | + | 0.376767i | ||||
\(802\) | 444.051 | + | 1366.65i | 0.553680 | + | 1.70405i | ||||
\(803\) | −216.493 | − | 157.291i | −0.269605 | − | 0.195879i | ||||
\(804\) | 501.241 | + | 162.863i | 0.623434 | + | 0.202566i | ||||
\(805\) | −180.605 | − | 210.756i | −0.224354 | − | 0.261809i | ||||
\(806\) | − | 82.1375i | − | 0.101908i | ||||||
\(807\) | −30.8189 | + | 10.0137i | −0.0381895 | + | 0.0124085i | ||||
\(808\) | 611.465 | − | 444.255i | 0.756764 | − | 0.549821i | ||||
\(809\) | −624.954 | + | 860.175i | −0.772502 | + | 1.06326i | 0.223568 | + | 0.974688i | \(0.428229\pi\) |
−0.996070 | + | 0.0885690i | \(0.971771\pi\) | |||||||
\(810\) | 191.682 | − | 263.828i | 0.236644 | − | 0.325713i | ||||
\(811\) | 540.503i | 0.666465i | 0.942845 | + | 0.333233i | \(0.108139\pi\) | ||||
−0.942845 | + | 0.333233i | \(0.891861\pi\) | |||||||
\(812\) | −950.600 | + | 1557.00i | −1.17069 | + | 1.91748i | ||||
\(813\) | −512.192 | − | 166.421i | −0.630002 | − | 0.204700i | ||||
\(814\) | −51.1939 | + | 16.6339i | −0.0628918 | + | 0.0204348i | ||||
\(815\) | −416.810 | − | 573.690i | −0.511423 | − | 0.703914i | ||||
\(816\) | −17.4820 | + | 12.7014i | −0.0214240 | + | 0.0155655i | ||||
\(817\) | −1334.69 | −1.63364 | ||||||||
\(818\) | 1131.32 | − | 367.590i | 1.38304 | − | 0.449376i | ||||
\(819\) | 152.681 | − | 12.2696i | 0.186423 | − | 0.0149812i | ||||
\(820\) | −70.5971 | + | 1219.03i | −0.0860940 | + | 1.48662i | ||||
\(821\) | −317.115 | −0.386255 | −0.193127 | − | 0.981174i | \(-0.561863\pi\) | ||||
−0.193127 | + | 0.981174i | \(0.561863\pi\) | |||||||
\(822\) | 338.000 | − | 109.823i | 0.411192 | − | 0.133604i | ||||
\(823\) | − | 278.777i | − | 0.338733i | −0.985553 | − | 0.169366i | \(-0.945828\pi\) | ||
0.985553 | − | 0.169366i | \(-0.0541721\pi\) | |||||||
\(824\) | −291.320 | − | 400.967i | −0.353543 | − | 0.486611i | ||||
\(825\) | 0.768019 | + | 1.05709i | 0.000930932 | + | 0.00128132i | ||||
\(826\) | 1613.88 | − | 671.609i | 1.95385 | − | 0.813086i | ||||
\(827\) | −900.494 | − | 292.588i | −1.08887 | − | 0.353795i | −0.291059 | − | 0.956705i | \(-0.594008\pi\) |
−0.797809 | + | 0.602910i | \(0.794008\pi\) | |||||||
\(828\) | 170.704 | + | 124.024i | 0.206165 | + | 0.149788i | ||||
\(829\) | − | 293.022i | − | 0.353465i | −0.984259 | − | 0.176733i | \(-0.943447\pi\) | ||
0.984259 | − | 0.176733i | \(-0.0565528\pi\) | |||||||
\(830\) | −696.137 | − | 505.773i | −0.838719 | − | 0.609365i | ||||
\(831\) | −354.780 | − | 257.763i | −0.426931 | − | 0.310184i | ||||
\(832\) | −410.279 | + | 298.085i | −0.493123 | + | 0.358275i | ||||
\(833\) | 51.6825 | + | 100.611i | 0.0620438 | + | 0.120782i | ||||
\(834\) | − | 1033.47i | − | 1.23917i | ||||||
\(835\) | 466.030 | + | 641.435i | 0.558120 | + | 0.768186i | ||||
\(836\) | −1003.26 | − | 325.979i | −1.20007 | − | 0.389927i | ||||
\(837\) | −89.7674 | + | 123.554i | −0.107249 | + | 0.147616i | ||||
\(838\) | 1073.62 | − | 348.839i | 1.28117 | − | 0.416276i | ||||
\(839\) | −437.581 | + | 1346.74i | −0.521551 | + | 1.60517i | 0.249487 | + | 0.968378i | \(0.419738\pi\) |
−0.771038 | + | 0.636790i | \(0.780262\pi\) | |||||||
\(840\) | 445.734 | + | 106.234i | 0.530636 | + | 0.126469i | ||||
\(841\) | −333.045 | + | 1025.01i | −0.396011 | + | 1.21880i | ||||
\(842\) | −1468.96 | − | 477.294i | −1.74461 | − | 0.566857i | ||||
\(843\) | −723.784 | + | 235.172i | −0.858581 | + | 0.278970i | ||||
\(844\) | 1076.52 | − | 1481.71i | 1.27550 | − | 1.75558i | ||||
\(845\) | −690.890 | − | 224.484i | −0.817621 | − | 0.265661i | ||||
\(846\) | 46.6854 | − | 33.9190i | 0.0551837 | − | 0.0400933i | ||||
\(847\) | 89.3992 | − | 7.18421i | 0.105548 | − | 0.00848195i | ||||
\(848\) | −104.677 | + | 34.0117i | −0.123440 | + | 0.0401082i | ||||
\(849\) | −351.016 | − | 483.132i | −0.413446 | − | 0.569060i | ||||
\(850\) | −0.347967 | − | 0.252813i | −0.000409373 | − | 0.000297427i | ||||
\(851\) | −10.5135 | − | 7.63854i | −0.0123543 | − | 0.00897595i | ||||
\(852\) | 1622.72i | 1.90460i | ||||||||
\(853\) | 569.680 | − | 784.097i | 0.667854 | − | 0.919223i | −0.331855 | − | 0.943330i | \(-0.607674\pi\) |
0.999709 | + | 0.0241077i | \(0.00767445\pi\) | |||||||
\(854\) | 1441.13 | + | 343.471i | 1.68750 | + | 0.402191i | ||||
\(855\) | 363.392 | − | 118.073i | 0.425020 | − | 0.138097i | ||||
\(856\) | −807.717 | + | 586.840i | −0.943594 | + | 0.685561i | ||||
\(857\) | −95.8609 | − | 131.941i | −0.111856 | − | 0.153957i | 0.749418 | − | 0.662097i | \(-0.230333\pi\) |
−0.861275 | + | 0.508140i | \(0.830333\pi\) | |||||||
\(858\) | 340.967i | 0.397398i | ||||||||
\(859\) | −668.888 | + | 217.335i | −0.778683 | + | 0.253009i | −0.671278 | − | 0.741206i | \(-0.734254\pi\) |
−0.107405 | + | 0.994215i | \(0.534254\pi\) | |||||||
\(860\) | − | 2331.82i | − | 2.71142i | ||||||
\(861\) | −610.181 | + | 13.6342i | −0.708688 | + | 0.0158354i | ||||
\(862\) | 910.875 | 1.05670 | ||||||||
\(863\) | 365.459 | + | 1124.77i | 0.423475 | + | 1.30332i | 0.904447 | + | 0.426586i | \(0.140284\pi\) |
−0.480972 | + | 0.876736i | \(0.659716\pi\) | |||||||
\(864\) | 1102.92 | 1.27653 | ||||||||
\(865\) | −103.360 | + | 75.0956i | −0.119492 | + | 0.0868157i | ||||
\(866\) | 1472.57 | + | 2026.82i | 1.70043 | + | 2.34044i | ||||
\(867\) | 186.416 | + | 573.729i | 0.215013 | + | 0.661741i | ||||
\(868\) | −215.863 | − | 51.4479i | −0.248691 | − | 0.0592718i | ||||
\(869\) | −425.522 | − | 309.160i | −0.489669 | − | 0.355765i | ||||
\(870\) | 1470.88 | 1.69066 | ||||||||
\(871\) | 119.657 | − | 164.694i | 0.137379 | − | 0.189086i | ||||
\(872\) | 299.133 | − | 411.721i | 0.343042 | − | 0.472157i | ||||
\(873\) | 319.708 | − | 232.281i | 0.366217 | − | 0.266072i | ||||
\(874\) | −131.611 | − | 405.056i | −0.150584 | − | 0.463451i | ||||
\(875\) | 70.0069 | + | 871.155i | 0.0800079 | + | 0.995605i | ||||
\(876\) | 191.327 | + | 263.339i | 0.218410 | + | 0.300615i | ||||
\(877\) | 225.420 | − | 693.773i | 0.257036 | − | 0.791075i | −0.736386 | − | 0.676562i | \(-0.763469\pi\) |
0.993422 | − | 0.114513i | \(-0.0365308\pi\) | |||||||
\(878\) | −1403.21 | − | 1019.49i | −1.59819 | − | 1.16115i | ||||
\(879\) | 112.440 | + | 346.055i | 0.127918 | + | 0.393691i | ||||
\(880\) | −70.8273 | + | 217.984i | −0.0804856 | + | 0.247709i | ||||
\(881\) | 1206.87 | + | 392.135i | 1.36988 | + | 0.445102i | 0.899330 | − | 0.437270i | \(-0.144055\pi\) |
0.470552 | + | 0.882372i | \(0.344055\pi\) | |||||||
\(882\) | 106.006 | − | 683.886i | 0.120188 | − | 0.775381i | ||||
\(883\) | 323.622 | + | 105.151i | 0.366503 | + | 0.119084i | 0.486478 | − | 0.873693i | \(-0.338281\pi\) |
−0.119975 | + | 0.992777i | \(0.538281\pi\) | |||||||
\(884\) | −20.7395 | − | 63.8297i | −0.0234610 | − | 0.0722056i | ||||
\(885\) | −681.836 | − | 495.383i | −0.770437 | − | 0.559755i | ||||
\(886\) | 600.881 | − | 1849.32i | 0.678195 | − | 2.08727i | ||||
\(887\) | 1150.09 | − | 835.587i | 1.29660 | − | 0.942037i | 0.296687 | − | 0.954975i | \(-0.404118\pi\) |
0.999916 | + | 0.0129374i | \(0.00411821\pi\) | |||||||
\(888\) | 21.4544 | 0.0241604 | ||||||||
\(889\) | 5.16818 | + | 12.4191i | 0.00581347 | + | 0.0139698i | ||||
\(890\) | 657.742 | + | 905.304i | 0.739036 | + | 1.01720i | ||||
\(891\) | 126.267 | − | 173.791i | 0.141713 | − | 0.195052i | ||||
\(892\) | 1483.78 | − | 2042.25i | 1.66343 | − | 2.28951i | ||||
\(893\) | −69.6503 | −0.0779958 | ||||||||
\(894\) | 119.951 | − | 165.099i | 0.134174 | − | 0.184674i | ||||
\(895\) | 104.288 | − | 320.967i | 0.116523 | − | 0.358622i | ||||
\(896\) | 466.353 | + | 1120.65i | 0.520483 | + | 1.25072i | ||||
\(897\) | −66.5963 | + | 48.3850i | −0.0742433 | + | 0.0539409i | ||||
\(898\) | 257.208 | − | 186.873i | 0.286423 | − | 0.208099i | ||||
\(899\) | −233.406 | −0.259629 | ||||||||
\(900\) | 0.486275 | + | 1.49660i | 0.000540306 | + | 0.00166289i | ||||
\(901\) | − | 57.7165i | − | 0.0640583i | ||||||
\(902\) | −77.7708 | + | 1342.90i | −0.0862204 | + | 1.48881i | ||||
\(903\) | 1161.78 | − | 93.3615i | 1.28657 | − | 0.103390i | ||||
\(904\) | −224.165 | − | 689.910i | −0.247971 | − | 0.763175i | ||||
\(905\) | 123.563i | 0.136533i | ||||||||
\(906\) | −82.8330 | − | 114.010i | −0.0914272 | − | 0.125839i | ||||
\(907\) | −27.1891 | + | 19.7540i | −0.0299770 | + | 0.0217795i | −0.602673 | − | 0.797988i | \(-0.705898\pi\) |
0.572696 | + | 0.819768i | \(0.305898\pi\) | |||||||
\(908\) | 687.616 | + | 2116.26i | 0.757286 | + | 2.33069i | ||||
\(909\) | −170.072 | + | 523.428i | −0.187098 | + | 0.575828i | ||||
\(910\) | 281.471 | − | 461.024i | 0.309309 | − | 0.506620i | ||||
\(911\) | −819.219 | −0.899252 | −0.449626 | − | 0.893217i | \(-0.648443\pi\) | ||||
−0.449626 | + | 0.893217i | \(0.648443\pi\) | |||||||
\(912\) | −129.102 | − | 93.7980i | −0.141559 | − | 0.102849i | ||||
\(913\) | −458.566 | − | 333.167i | −0.502262 | − | 0.364915i | ||||
\(914\) | 1318.37 | + | 1814.59i | 1.44242 | + | 1.98532i | ||||
\(915\) | −220.725 | − | 679.322i | −0.241230 | − | 0.742428i | ||||
\(916\) | 634.812 | 0.693026 | ||||||||
\(917\) | −438.894 | − | 512.166i | −0.478619 | − | 0.558524i | ||||
\(918\) | −64.4882 | + | 198.474i | −0.0702485 | + | 0.216203i | ||||
\(919\) | −889.360 | + | 1224.10i | −0.967747 | + | 1.33199i | −0.0245705 | + | 0.999698i | \(0.507822\pi\) |
−0.943177 | + | 0.332292i | \(0.892178\pi\) | |||||||
\(920\) | 231.880 | − | 75.3425i | 0.252044 | − | 0.0818940i | ||||
\(921\) | 8.83642 | + | 2.87113i | 0.00959437 | + | 0.00311740i | ||||
\(922\) | 2612.48 | + | 848.846i | 2.83349 | + | 0.920657i | ||||
\(923\) | 596.113 | + | 193.689i | 0.645843 | + | 0.209847i | ||||
\(924\) | 896.087 | + | 213.569i | 0.969791 | + | 0.231136i | ||||
\(925\) | −0.0299493 | − | 0.0921744i | −3.23776e−5 | − | 9.96480e-5i | ||||
\(926\) | −517.045 | + | 711.651i | −0.558363 | + | 0.768521i | ||||
\(927\) | 343.237 | + | 111.524i | 0.370267 | + | 0.120307i | ||||
\(928\) | 990.780 | + | 1363.69i | 1.06765 | + | 1.46950i | ||||
\(929\) | −1026.30 | −1.10474 | −0.552371 | − | 0.833599i | \(-0.686277\pi\) | ||||
−0.552371 | + | 0.833599i | \(0.686277\pi\) | |||||||
\(930\) | 55.2906 | + | 170.167i | 0.0594523 | + | 0.182975i | ||||
\(931\) | −588.690 | + | 592.585i | −0.632320 | + | 0.636504i | ||||
\(932\) | −352.138 | + | 484.676i | −0.377830 | + | 0.520039i | ||||
\(933\) | 544.648 | + | 395.710i | 0.583760 | + | 0.424126i | ||||
\(934\) | 1834.61i | 1.96425i | ||||||||
\(935\) | −97.2366 | − | 70.6465i | −0.103996 | − | 0.0755578i | ||||
\(936\) | −41.5790 | + | 127.967i | −0.0444220 | + | 0.136717i | ||||
\(937\) | −198.924 | − | 612.224i | −0.212298 | − | 0.653387i | −0.999334 | − | 0.0364801i | \(-0.988385\pi\) |
0.787036 | − | 0.616907i | \(-0.211615\pi\) | |||||||
\(938\) | −598.492 | − | 698.409i | −0.638051 | − | 0.744572i | ||||
\(939\) | −139.894 | + | 101.639i | −0.148982 | + | 0.108242i | ||||
\(940\) | − | 121.685i | − | 0.129453i | ||||||
\(941\) | −1023.18 | + | 332.450i | −1.08733 | + | 0.353295i | −0.797214 | − | 0.603697i | \(-0.793694\pi\) |
−0.290115 | + | 0.956992i | \(0.593694\pi\) | |||||||
\(942\) | 409.900 | 0.435138 | ||||||||
\(943\) | −273.326 | + | 175.375i | −0.289847 | + | 0.185976i | ||||
\(944\) | − | 348.500i | − | 0.369173i | ||||||
\(945\) | −927.248 | + | 385.871i | −0.981215 | + | 0.408329i | ||||
\(946\) | − | 2568.77i | − | 2.71540i | ||||||
\(947\) | 670.295 | − | 486.998i | 0.707809 | − | 0.514254i | −0.174657 | − | 0.984629i | \(-0.555882\pi\) |
0.882466 | + | 0.470376i | \(0.155882\pi\) | |||||||
\(948\) | 376.058 | + | 517.600i | 0.396686 | + | 0.545992i | ||||
\(949\) | 119.576 | − | 38.8525i | 0.126002 | − | 0.0409405i | ||||
\(950\) | 0.981530 | − | 3.02084i | 0.00103319 | − | 0.00317983i | ||||
\(951\) | −92.3783 | + | 127.148i | −0.0971381 | + | 0.133699i | ||||
\(952\) | −99.0397 | + | 7.95893i | −0.104033 | + | 0.00836022i | ||||
\(953\) | 1471.09 | + | 1068.81i | 1.54364 | + | 1.12152i | 0.947998 | + | 0.318276i | \(0.103104\pi\) |
0.595646 | + | 0.803247i | \(0.296896\pi\) | |||||||
\(954\) | −207.568 | + | 285.693i | −0.217577 | + | 0.299469i | ||||
\(955\) | −432.596 | + | 314.299i | −0.452980 | + | 0.329109i | ||||
\(956\) | 2031.94 | − | 660.218i | 2.12546 | − | 0.690604i | ||||
\(957\) | 968.910 | 1.01245 | ||||||||
\(958\) | 1193.34 | − | 867.010i | 1.24565 | − | 0.905021i | ||||
\(959\) | −360.767 | − | 85.9836i | −0.376191 | − | 0.0896597i | ||||
\(960\) | 649.333 | − | 893.730i | 0.676389 | − | 0.930969i | ||||
\(961\) | 288.192 | + | 886.962i | 0.299887 | + | 0.922958i | ||||
\(962\) | 7.81530 | − | 24.0530i | 0.00812401 | − | 0.0250031i | ||||
\(963\) | 224.657 | − | 691.424i | 0.233289 | − | 0.717989i | ||||
\(964\) | −2239.54 | − | 727.672i | −2.32318 | − | 0.754846i | ||||
\(965\) | 214.478 | − | 660.094i | 0.222257 | − | 0.684035i | ||||
\(966\) | 142.894 | + | 343.374i | 0.147923 | + | 0.355460i | ||||
\(967\) | 811.892 | − | 1117.47i | 0.839599 | − | 1.15561i | −0.146461 | − | 0.989217i | \(-0.546788\pi\) |
0.986060 | − | 0.166392i | \(-0.0532119\pi\) | |||||||
\(968\) | −24.3458 | + | 74.9285i | −0.0251506 | + | 0.0774055i | ||||
\(969\) | 67.6996 | − | 49.1867i | 0.0698655 | − | 0.0507602i | ||||
\(970\) | − | 1393.58i | − | 1.43668i | ||||||
\(971\) | 2.80823 | + | 8.64285i | 0.00289210 | + | 0.00890098i | 0.952492 | − | 0.304563i | \(-0.0985105\pi\) |
−0.949600 | + | 0.313464i | \(0.898510\pi\) | |||||||
\(972\) | 1030.18 | − | 748.468i | 1.05985 | − | 0.770029i | ||||
\(973\) | −561.984 | + | 920.479i | −0.577579 | + | 0.946021i | ||||
\(974\) | 1198.37 | + | 870.667i | 1.23036 | + | 0.893909i | ||||
\(975\) | −0.613910 | −0.000629651 | ||||||||
\(976\) | 173.607 | − | 238.950i | 0.177876 | − | 0.244826i | ||||
\(977\) | −1083.59 | − | 352.080i | −1.10910 | − | 0.360369i | −0.303502 | − | 0.952831i | \(-0.598156\pi\) |
−0.805598 | + | 0.592462i | \(0.798156\pi\) | |||||||
\(978\) | 293.632 | + | 903.706i | 0.300237 | + | 0.924035i | ||||
\(979\) | 433.274 | + | 596.350i | 0.442568 | + | 0.609142i | ||||
\(980\) | −1035.30 | − | 1028.50i | −1.05643 | − | 1.04948i | ||||
\(981\) | 370.580i | 0.377757i | ||||||||
\(982\) | 0.376041 | + | 1.15734i | 0.000382934 | + | 0.00117855i | ||||
\(983\) | 985.689i | 1.00274i | 0.865234 | + | 0.501368i | \(0.167170\pi\) | ||||
−0.865234 | + | 0.501368i | \(0.832830\pi\) | |||||||
\(984\) | 194.879 | − | 499.466i | 0.198047 | − | 0.507587i | ||||
\(985\) | − | 789.387i | − | 0.801408i | ||||||
\(986\) | −303.331 | + | 98.5582i | −0.307638 | + | 0.0999576i | ||||
\(987\) | 60.6269 | − | 4.87204i | 0.0614255 | − | 0.00493621i | ||||
\(988\) | 400.973 | − | 291.324i | 0.405844 | − | 0.294863i | ||||
\(989\) | 501.721 | − | 364.522i | 0.507301 | − | 0.368576i | ||||
\(990\) | 227.246 | + | 699.392i | 0.229542 | + | 0.706457i | ||||
\(991\) | −590.854 | − | 191.980i | −0.596220 | − | 0.193724i | −0.00466618 | − | 0.999989i | \(-0.501485\pi\) |
−0.591554 | + | 0.806265i | \(0.701485\pi\) | |||||||
\(992\) | −120.523 | + | 165.886i | −0.121495 | + | 0.167223i | ||||
\(993\) | − | 401.061i | − | 0.403889i | ||||||
\(994\) | 1475.69 | − | 2417.04i | 1.48459 | − | 2.43163i | ||||
\(995\) | 1110.97 | − | 1529.12i | 1.11655 | − | 1.53680i | ||||
\(996\) | 405.261 | + | 557.794i | 0.406888 | + | 0.560034i | ||||
\(997\) | −250.503 | − | 770.968i | −0.251256 | − | 0.773287i | −0.994544 | − | 0.104316i | \(-0.966735\pi\) |
0.743288 | − | 0.668972i | \(-0.233265\pi\) | |||||||
\(998\) | 1951.02i | 1.95493i | ||||||||
\(999\) | −38.0434 | + | 27.6401i | −0.0380815 | + | 0.0276678i |
(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 | 287.3.p.a.146.7 | ✓ | 216 | |
7.6 | odd | 2 | inner | 287.3.p.a.146.8 | yes | 216 | |
41.25 | even | 10 | inner | 287.3.p.a.230.8 | yes | 216 | |
287.230 | odd | 10 | inner | 287.3.p.a.230.7 | yes | 216 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
287.3.p.a.146.7 | ✓ | 216 | 1.1 | even | 1 | trivial | |
287.3.p.a.146.8 | yes | 216 | 7.6 | odd | 2 | inner | |
287.3.p.a.230.7 | yes | 216 | 287.230 | odd | 10 | inner | |
287.3.p.a.230.8 | yes | 216 | 41.25 | even | 10 | inner |