Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [201,3,Mod(29,201)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(201, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 4]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("201.29");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 201 = 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 201.g (of order \(6\), degree \(2\), 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: | \(5.47685331364\) |
Analytic rank: | \(0\) |
Dimension: | \(84\) |
Relative dimension: | \(42\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 29.3 | ||
Character | \(\chi\) | \(=\) | 201.29 |
Dual form | 201.3.g.b.104.3 |
$q$-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 \(\left(\mathbb{Z}/201\mathbb{Z}\right)^\times\).
\(n\) | \(68\) | \(136\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.10861 | − | 1.79476i | −1.55431 | − | 0.897379i | −0.997783 | − | 0.0665463i | \(-0.978802\pi\) |
−0.556522 | − | 0.830833i | \(-0.687865\pi\) | |||||||
\(3\) | 1.01703 | + | 2.82235i | 0.339011 | + | 0.940782i | ||||
\(4\) | 4.44231 | + | 7.69431i | 1.11058 | + | 1.92358i | ||||
\(5\) | − | 6.24319i | − | 1.24864i | −0.781169 | − | 0.624319i | \(-0.785376\pi\) | ||
0.781169 | − | 0.624319i | \(-0.214624\pi\) | |||||||
\(6\) | 1.90387 | − | 10.5989i | 0.317311 | − | 1.76648i | ||||
\(7\) | 0.163929 | + | 0.283933i | 0.0234184 | + | 0.0405619i | 0.877497 | − | 0.479582i | \(-0.159212\pi\) |
−0.854079 | + | 0.520144i | \(0.825878\pi\) | |||||||
\(8\) | − | 17.5334i | − | 2.19168i | ||||||
\(9\) | −6.93129 | + | 5.74084i | −0.770143 | + | 0.637871i | ||||
\(10\) | −11.2050 | + | 19.4077i | −1.12050 | + | 1.94077i | ||||
\(11\) | −1.56125 | + | 0.901388i | −0.141932 | + | 0.0819443i | −0.569284 | − | 0.822141i | \(-0.692780\pi\) |
0.427353 | + | 0.904085i | \(0.359446\pi\) | |||||||
\(12\) | −17.1980 | + | 20.3631i | −1.43317 | + | 1.69693i | ||||
\(13\) | 3.90674 | − | 6.76667i | 0.300518 | − | 0.520513i | −0.675735 | − | 0.737145i | \(-0.736174\pi\) |
0.976253 | + | 0.216631i | \(0.0695070\pi\) | |||||||
\(14\) | − | 1.17685i | − | 0.0840607i | ||||||
\(15\) | 17.6205 | − | 6.34953i | 1.17470 | − | 0.423302i | ||||
\(16\) | −13.6990 | + | 23.7274i | −0.856188 | + | 1.48296i | ||||
\(17\) | 17.3146 | + | 9.99660i | 1.01851 | + | 0.588035i | 0.913671 | − | 0.406454i | \(-0.133235\pi\) |
0.104836 | + | 0.994490i | \(0.466568\pi\) | |||||||
\(18\) | 31.8501 | − | 5.40607i | 1.76945 | − | 0.300337i | ||||
\(19\) | 13.3720 | − | 23.1610i | 0.703790 | − | 1.21900i | −0.263336 | − | 0.964704i | \(-0.584823\pi\) |
0.967126 | − | 0.254296i | \(-0.0818438\pi\) | |||||||
\(20\) | 48.0370 | − | 27.7342i | 2.40185 | − | 1.38671i | ||||
\(21\) | −0.634637 | + | 0.751433i | −0.0302208 | + | 0.0357825i | ||||
\(22\) | 6.47109 | 0.294140 | ||||||||
\(23\) | −18.1296 | − | 10.4671i | −0.788245 | − | 0.455093i | 0.0510996 | − | 0.998694i | \(-0.483727\pi\) |
−0.839344 | + | 0.543600i | \(0.817061\pi\) | |||||||
\(24\) | 49.4854 | − | 17.8321i | 2.06189 | − | 0.743003i | ||||
\(25\) | −13.9774 | −0.559098 | ||||||||
\(26\) | −24.2891 | + | 14.0233i | −0.934195 | + | 0.539358i | ||||
\(27\) | −23.2520 | − | 13.7239i | −0.861185 | − | 0.508291i | ||||
\(28\) | −1.45645 | + | 2.52264i | −0.0520159 | + | 0.0900942i | ||||
\(29\) | 27.7448 | − | 16.0185i | 0.956716 | − | 0.552360i | 0.0615554 | − | 0.998104i | \(-0.480394\pi\) |
0.895161 | + | 0.445743i | \(0.147061\pi\) | |||||||
\(30\) | −66.1710 | − | 11.8862i | −2.20570 | − | 0.396207i | ||||
\(31\) | 3.65568 | + | 6.33183i | 0.117925 | + | 0.204253i | 0.918945 | − | 0.394385i | \(-0.129042\pi\) |
−0.801020 | + | 0.598638i | \(0.795709\pi\) | |||||||
\(32\) | 24.4322 | − | 14.1059i | 0.763506 | − | 0.440811i | ||||
\(33\) | −4.13187 | − | 3.48965i | −0.125208 | − | 0.105747i | ||||
\(34\) | −35.8829 | − | 62.1511i | −1.05538 | − | 1.82797i | ||||
\(35\) | 1.77265 | − | 1.02344i | 0.0506471 | − | 0.0292411i | ||||
\(36\) | −74.9627 | − | 27.8288i | −2.08230 | − | 0.773023i | ||||
\(37\) | 34.8705 | − | 60.3975i | 0.942446 | − | 1.63236i | 0.181661 | − | 0.983361i | \(-0.441853\pi\) |
0.760786 | − | 0.649003i | \(-0.224814\pi\) | |||||||
\(38\) | −83.1368 | + | 47.9990i | −2.18781 | + | 1.26313i | ||||
\(39\) | 23.0712 | + | 4.14424i | 0.591569 | + | 0.106263i | ||||
\(40\) | −109.465 | −2.73661 | ||||||||
\(41\) | 40.6240 | − | 23.4543i | 0.990830 | − | 0.572056i | 0.0853074 | − | 0.996355i | \(-0.472813\pi\) |
0.905522 | + | 0.424299i | \(0.139479\pi\) | |||||||
\(42\) | 3.32148 | − | 1.19690i | 0.0790828 | − | 0.0284975i | ||||
\(43\) | −39.0020 | −0.907023 | −0.453512 | − | 0.891250i | \(-0.649829\pi\) | ||||
−0.453512 | + | 0.891250i | \(0.649829\pi\) | |||||||
\(44\) | −13.8711 | − | 8.00849i | −0.315252 | − | 0.182011i | ||||
\(45\) | 35.8412 | + | 43.2733i | 0.796471 | + | 0.961630i | ||||
\(46\) | 37.5720 | + | 65.0766i | 0.816782 | + | 1.41471i | ||||
\(47\) | 55.1107 | − | 31.8182i | 1.17257 | − | 0.676982i | 0.218284 | − | 0.975885i | \(-0.429954\pi\) |
0.954283 | + | 0.298903i | \(0.0966207\pi\) | |||||||
\(48\) | −80.8992 | − | 14.5318i | −1.68540 | − | 0.302746i | ||||
\(49\) | 24.4463 | − | 42.3422i | 0.498903 | − | 0.864126i | ||||
\(50\) | 43.4504 | + | 25.0861i | 0.869009 | + | 0.501722i | ||||
\(51\) | −10.6043 | + | 59.0347i | −0.207928 | + | 1.15754i | ||||
\(52\) | 69.4198 | 1.33500 | ||||||||
\(53\) | − | 52.5176i | − | 0.990898i | −0.868637 | − | 0.495449i | \(-0.835004\pi\) | ||
0.868637 | − | 0.495449i | \(-0.164996\pi\) | |||||||
\(54\) | 47.6504 | + | 84.3939i | 0.882415 | + | 1.56285i | ||||
\(55\) | 5.62754 | + | 9.74718i | 0.102319 | + | 0.177221i | ||||
\(56\) | 4.97832 | − | 2.87423i | 0.0888985 | − | 0.0513256i | ||||
\(57\) | 78.9682 | + | 14.1849i | 1.38541 | + | 0.248859i | ||||
\(58\) | −114.997 | −1.98271 | ||||||||
\(59\) | 77.3415i | 1.31087i | 0.755250 | + | 0.655436i | \(0.227515\pi\) | ||||
−0.755250 | + | 0.655436i | \(0.772485\pi\) | |||||||
\(60\) | 127.131 | + | 107.371i | 2.11885 | + | 1.78951i | ||||
\(61\) | −44.0343 | + | 76.2696i | −0.721873 | + | 1.25032i | 0.238375 | + | 0.971173i | \(0.423385\pi\) |
−0.960248 | + | 0.279148i | \(0.909948\pi\) | |||||||
\(62\) | − | 26.2443i | − | 0.423295i | ||||||
\(63\) | −2.76625 | − | 1.02693i | −0.0439088 | − | 0.0163005i | ||||
\(64\) | 8.32506 | 0.130079 | ||||||||
\(65\) | −42.2456 | − | 24.3905i | −0.649933 | − | 0.375239i | ||||
\(66\) | 6.58131 | + | 18.2637i | 0.0997169 | + | 0.276722i | ||||
\(67\) | −58.6622 | + | 32.3688i | −0.875556 | + | 0.483117i | ||||
\(68\) | 177.632i | 2.61224i | ||||||||
\(69\) | 11.1035 | − | 61.8135i | 0.160920 | − | 0.895848i | ||||
\(70\) | −7.34730 | −0.104961 | ||||||||
\(71\) | 2.38523 | − | 1.37711i | 0.0335948 | − | 0.0193960i | −0.483109 | − | 0.875560i | \(-0.660492\pi\) |
0.516703 | + | 0.856164i | \(0.327159\pi\) | |||||||
\(72\) | 100.657 | + | 121.529i | 1.39801 | + | 1.68791i | ||||
\(73\) | 28.8945 | − | 50.0467i | 0.395815 | − | 0.685571i | −0.597390 | − | 0.801951i | \(-0.703796\pi\) |
0.993205 | + | 0.116380i | \(0.0371290\pi\) | |||||||
\(74\) | −216.798 | + | 125.168i | −2.92970 | + | 1.69146i | ||||
\(75\) | −14.2155 | − | 39.4492i | −0.189540 | − | 0.525989i | ||||
\(76\) | 237.610 | 3.12645 | ||||||||
\(77\) | −0.511868 | − | 0.295527i | −0.00664763 | − | 0.00383801i | ||||
\(78\) | −64.2814 | − | 54.2900i | −0.824121 | − | 0.696026i | ||||
\(79\) | 70.1161 | + | 121.445i | 0.887545 | + | 1.53727i | 0.842768 | + | 0.538276i | \(0.180924\pi\) |
0.0447769 | + | 0.998997i | \(0.485742\pi\) | |||||||
\(80\) | 148.135 | + | 85.5255i | 1.85168 | + | 1.06907i | ||||
\(81\) | 15.0855 | − | 79.5828i | 0.186240 | − | 0.982504i | ||||
\(82\) | −168.379 | −2.05340 | ||||||||
\(83\) | −68.5120 | − | 39.5554i | −0.825446 | − | 0.476572i | 0.0268448 | − | 0.999640i | \(-0.491454\pi\) |
−0.852291 | + | 0.523068i | \(0.824787\pi\) | |||||||
\(84\) | −8.60101 | − | 1.54499i | −0.102393 | − | 0.0183927i | ||||
\(85\) | 62.4107 | − | 108.098i | 0.734243 | − | 1.27175i | ||||
\(86\) | 121.242 | + | 69.9991i | 1.40979 | + | 0.813943i | ||||
\(87\) | 73.4270 | + | 62.0141i | 0.843988 | + | 0.712805i | ||||
\(88\) | 15.8044 | + | 27.3740i | 0.179596 | + | 0.311069i | ||||
\(89\) | 52.6293i | 0.591341i | 0.955290 | + | 0.295670i | \(0.0955430\pi\) | ||||
−0.955290 | + | 0.295670i | \(0.904457\pi\) | |||||||
\(90\) | −33.7511 | − | 198.846i | −0.375012 | − | 2.20940i | ||||
\(91\) | 2.56171 | 0.0281506 | ||||||||
\(92\) | − | 185.993i | − | 2.02167i | ||||||
\(93\) | −14.1527 | + | 16.7573i | −0.152179 | + | 0.180186i | ||||
\(94\) | −228.424 | −2.43004 | ||||||||
\(95\) | −144.599 | − | 83.4840i | −1.52209 | − | 0.878779i | ||||
\(96\) | 64.6602 | + | 54.6099i | 0.673544 | + | 0.568854i | ||||
\(97\) | −23.0652 | + | 39.9500i | −0.237785 | + | 0.411856i | −0.960078 | − | 0.279731i | \(-0.909755\pi\) |
0.722293 | + | 0.691587i | \(0.243088\pi\) | |||||||
\(98\) | −151.988 | + | 87.7502i | −1.55090 | + | 0.895410i | ||||
\(99\) | 5.64674 | − | 15.2107i | 0.0570378 | − | 0.153643i | ||||
\(100\) | −62.0921 | − | 107.547i | −0.620921 | − | 1.07547i | ||||
\(101\) | −144.604 | + | 83.4872i | −1.43172 | + | 0.826606i | −0.997252 | − | 0.0740804i | \(-0.976398\pi\) |
−0.434471 | + | 0.900686i | \(0.643065\pi\) | |||||||
\(102\) | 138.918 | − | 164.484i | 1.36194 | − | 1.61259i | ||||
\(103\) | 14.1555 | + | 24.5180i | 0.137432 | + | 0.238039i | 0.926524 | − | 0.376236i | \(-0.122782\pi\) |
−0.789092 | + | 0.614275i | \(0.789448\pi\) | |||||||
\(104\) | −118.643 | − | 68.4985i | −1.14080 | − | 0.658639i | ||||
\(105\) | 4.69134 | + | 3.96216i | 0.0446795 | + | 0.0377348i | ||||
\(106\) | −94.2563 | + | 163.257i | −0.889211 | + | 1.54016i | ||||
\(107\) | − | 109.672i | − | 1.02497i | −0.858696 | − | 0.512485i | \(-0.828725\pi\) | ||
0.858696 | − | 0.512485i | \(-0.171275\pi\) | |||||||
\(108\) | 2.30306 | − | 239.874i | 0.0213246 | − | 2.22105i | ||||
\(109\) | 0.710001 | 0.00651377 | 0.00325688 | − | 0.999995i | \(-0.498963\pi\) | ||||
0.00325688 | + | 0.999995i | \(0.498963\pi\) | |||||||
\(110\) | − | 40.4003i | − | 0.367275i | ||||||
\(111\) | 205.927 | + | 36.9904i | 1.85520 | + | 0.333247i | ||||
\(112\) | −8.98265 | −0.0802022 | ||||||||
\(113\) | 36.5402 | − | 21.0965i | 0.323365 | − | 0.186695i | −0.329526 | − | 0.944146i | \(-0.606889\pi\) |
0.652891 | + | 0.757451i | \(0.273556\pi\) | |||||||
\(114\) | −220.023 | − | 185.824i | −1.93002 | − | 1.63004i | ||||
\(115\) | −65.3484 | + | 113.187i | −0.568247 | + | 0.984232i | ||||
\(116\) | 246.502 | + | 142.318i | 2.12502 | + | 1.22688i | ||||
\(117\) | 11.7677 | + | 69.3297i | 0.100578 | + | 0.592562i | ||||
\(118\) | 138.809 | − | 240.425i | 1.17635 | − | 2.03750i | ||||
\(119\) | 6.55492i | 0.0550834i | ||||||||
\(120\) | −111.329 | − | 308.947i | −0.927742 | − | 2.57456i | ||||
\(121\) | −58.8750 | + | 101.974i | −0.486570 | + | 0.842764i | ||||
\(122\) | 273.771 | − | 158.062i | 2.24402 | − | 1.29559i | ||||
\(123\) | 107.512 | + | 90.8013i | 0.874082 | + | 0.738222i | ||||
\(124\) | −32.4794 | + | 56.2559i | −0.261930 | + | 0.453677i | ||||
\(125\) | − | 68.8159i | − | 0.550528i | ||||||
\(126\) | 6.75611 | + | 8.15709i | 0.0536199 | + | 0.0647388i | ||||
\(127\) | 38.5915 | + | 66.8424i | 0.303870 | + | 0.526318i | 0.977009 | − | 0.213198i | \(-0.0683879\pi\) |
−0.673139 | + | 0.739516i | \(0.735055\pi\) | |||||||
\(128\) | −123.608 | − | 71.3652i | −0.965689 | − | 0.557541i | ||||
\(129\) | −39.6663 | − | 110.077i | −0.307491 | − | 0.853311i | ||||
\(130\) | 87.5501 | + | 151.641i | 0.673463 | + | 1.16647i | ||||
\(131\) | 22.6032i | 0.172543i | 0.996272 | + | 0.0862716i | \(0.0274953\pi\) | ||||
−0.996272 | + | 0.0862716i | \(0.972505\pi\) | |||||||
\(132\) | 8.49535 | − | 47.2940i | 0.0643587 | − | 0.358288i | ||||
\(133\) | 8.76823 | 0.0659266 | ||||||||
\(134\) | 240.452 | + | 4.66239i | 1.79442 | + | 0.0347940i | ||||
\(135\) | −85.6807 | + | 145.167i | −0.634672 | + | 1.07531i | ||||
\(136\) | 175.275 | − | 303.584i | 1.28878 | − | 2.23224i | ||||
\(137\) | 119.755i | 0.874123i | 0.899432 | + | 0.437061i | \(0.143981\pi\) | ||||
−0.899432 | + | 0.437061i | \(0.856019\pi\) | |||||||
\(138\) | −145.457 | + | 172.226i | −1.05403 | + | 1.24802i | ||||
\(139\) | −251.309 | −1.80798 | −0.903988 | − | 0.427559i | \(-0.859374\pi\) | ||||
−0.903988 | + | 0.427559i | \(0.859374\pi\) | |||||||
\(140\) | 15.7493 | + | 9.09287i | 0.112495 | + | 0.0649491i | ||||
\(141\) | 145.851 | + | 123.181i | 1.03441 | + | 0.873626i | ||||
\(142\) | −9.88635 | −0.0696222 | ||||||||
\(143\) | 14.0859i | 0.0985031i | ||||||||
\(144\) | −41.2634 | − | 243.105i | −0.286551 | − | 1.68823i | ||||
\(145\) | −100.006 | − | 173.216i | −0.689698 | − | 1.19459i | ||||
\(146\) | −179.643 | + | 103.717i | −1.23043 | + | 0.710391i | ||||
\(147\) | 144.367 | + | 25.9324i | 0.982088 | + | 0.176411i | ||||
\(148\) | 619.622 | 4.18664 | ||||||||
\(149\) | 27.3970i | 0.183873i | 0.995765 | + | 0.0919364i | \(0.0293056\pi\) | ||||
−0.995765 | + | 0.0919364i | \(0.970694\pi\) | |||||||
\(150\) | −26.6112 | + | 148.146i | −0.177408 | + | 0.987638i | ||||
\(151\) | 2.98146 | − | 5.16405i | 0.0197448 | − | 0.0341990i | −0.855984 | − | 0.517002i | \(-0.827048\pi\) |
0.875729 | + | 0.482803i | \(0.160381\pi\) | |||||||
\(152\) | −406.092 | − | 234.457i | −2.67166 | − | 1.54248i | ||||
\(153\) | −177.401 | + | 30.1112i | −1.15949 | + | 0.196805i | ||||
\(154\) | 1.06080 | + | 1.83736i | 0.00688830 | + | 0.0119309i | ||||
\(155\) | 39.5308 | − | 22.8231i | 0.255038 | − | 0.147246i | ||||
\(156\) | 70.6022 | + | 195.927i | 0.452578 | + | 1.25594i | ||||
\(157\) | 91.3470 | − | 158.218i | 0.581828 | − | 1.00776i | −0.413434 | − | 0.910534i | \(-0.635671\pi\) |
0.995263 | − | 0.0972222i | \(-0.0309958\pi\) | |||||||
\(158\) | − | 503.365i | − | 3.18586i | ||||||
\(159\) | 148.223 | − | 53.4121i | 0.932219 | − | 0.335925i | ||||
\(160\) | −88.0661 | − | 152.535i | −0.550413 | − | 0.953343i | ||||
\(161\) | − | 6.86347i | − | 0.0426302i | ||||||
\(162\) | −189.727 | + | 220.317i | −1.17115 | + | 1.35998i | ||||
\(163\) | −68.1557 | − | 118.049i | −0.418133 | − | 0.724228i | 0.577619 | − | 0.816307i | \(-0.303982\pi\) |
−0.995752 | + | 0.0920791i | \(0.970649\pi\) | |||||||
\(164\) | 360.929 | + | 208.382i | 2.20079 | + | 1.27062i | ||||
\(165\) | −21.7865 | + | 25.7961i | −0.132040 | + | 0.156340i | ||||
\(166\) | 141.985 | + | 245.925i | 0.855330 | + | 1.48148i | ||||
\(167\) | −145.747 | + | 84.1469i | −0.872735 | + | 0.503874i | −0.868256 | − | 0.496116i | \(-0.834759\pi\) |
−0.00447897 | + | 0.999990i | \(0.501426\pi\) | |||||||
\(168\) | 13.1752 | + | 11.1274i | 0.0784238 | + | 0.0662342i | ||||
\(169\) | 53.9748 | + | 93.4871i | 0.319377 | + | 0.553178i | ||||
\(170\) | −388.021 | + | 224.024i | −2.28248 | + | 1.31779i | ||||
\(171\) | 40.2784 | + | 237.302i | 0.235546 | + | 1.38773i | ||||
\(172\) | −173.259 | − | 300.093i | −1.00732 | − | 1.74473i | ||||
\(173\) | 84.7667 | + | 48.9401i | 0.489981 | + | 0.282891i | 0.724567 | − | 0.689205i | \(-0.242040\pi\) |
−0.234586 | + | 0.972095i | \(0.575373\pi\) | |||||||
\(174\) | −116.956 | − | 324.561i | −0.672159 | − | 1.86529i | ||||
\(175\) | −2.29131 | − | 3.96866i | −0.0130932 | − | 0.0226780i | ||||
\(176\) | − | 49.3925i | − | 0.280639i | ||||||
\(177\) | −218.285 | + | 78.6589i | −1.23325 | + | 0.444400i | ||||
\(178\) | 94.4569 | − | 163.604i | 0.530657 | − | 0.919125i | ||||
\(179\) | − | 153.889i | − | 0.859717i | −0.902896 | − | 0.429858i | \(-0.858564\pi\) | ||
0.902896 | − | 0.429858i | \(-0.141436\pi\) | |||||||
\(180\) | −173.741 | + | 468.007i | −0.965227 | + | 2.60004i | ||||
\(181\) | 3.73277 | + | 6.46535i | 0.0206231 | + | 0.0357202i | 0.876153 | − | 0.482034i | \(-0.160102\pi\) |
−0.855530 | + | 0.517754i | \(0.826768\pi\) | |||||||
\(182\) | −7.96336 | − | 4.59765i | −0.0437547 | − | 0.0252618i | ||||
\(183\) | −260.044 | − | 46.7113i | −1.42100 | − | 0.255253i | ||||
\(184\) | −183.525 | + | 317.874i | −0.997418 | + | 1.72758i | ||||
\(185\) | −377.073 | − | 217.703i | −2.03823 | − | 1.17677i | ||||
\(186\) | 74.0704 | − | 26.6913i | 0.398228 | − | 0.143502i | ||||
\(187\) | −36.0432 | −0.192745 | ||||||||
\(188\) | 489.637 | + | 282.692i | 2.60445 | + | 1.50368i | ||||
\(189\) | 0.0849868 | − | 8.85175i | 0.000449666 | − | 0.0468346i | ||||
\(190\) | 299.667 | + | 519.039i | 1.57720 | + | 2.73178i | ||||
\(191\) | 259.965 | + | 150.091i | 1.36107 | + | 0.785816i | 0.989767 | − | 0.142694i | \(-0.0455765\pi\) |
0.371307 | + | 0.928510i | \(0.378910\pi\) | |||||||
\(192\) | 8.46686 | + | 23.4962i | 0.0440982 | + | 0.122376i | ||||
\(193\) | 194.090 | 1.00565 | 0.502823 | − | 0.864390i | \(-0.332295\pi\) | ||||
0.502823 | + | 0.864390i | \(0.332295\pi\) | |||||||
\(194\) | 143.401 | − | 82.7927i | 0.739181 | − | 0.426767i | ||||
\(195\) | 25.8733 | − | 144.038i | 0.132684 | − | 0.738655i | ||||
\(196\) | 434.391 | 2.21628 | ||||||||
\(197\) | 163.285 | − | 94.2724i | 0.828856 | − | 0.478540i | −0.0246051 | − | 0.999697i | \(-0.507833\pi\) |
0.853461 | + | 0.521157i | \(0.174499\pi\) | |||||||
\(198\) | −44.8530 | + | 37.1495i | −0.226530 | + | 0.187624i | ||||
\(199\) | 89.6096 | − | 155.208i | 0.450299 | − | 0.779941i | −0.548105 | − | 0.836410i | \(-0.684651\pi\) |
0.998404 | + | 0.0564681i | \(0.0179839\pi\) | |||||||
\(200\) | 245.072i | 1.22536i | ||||||||
\(201\) | −151.018 | − | 132.645i | −0.751331 | − | 0.659926i | ||||
\(202\) | 599.357 | 2.96711 | ||||||||
\(203\) | 9.09634 | + | 5.25177i | 0.0448095 | + | 0.0258708i | ||||
\(204\) | −501.339 | + | 180.658i | −2.45754 | + | 0.885577i | ||||
\(205\) | −146.430 | − | 253.623i | −0.714291 | − | 1.23719i | ||||
\(206\) | − | 101.623i | − | 0.493314i | ||||||
\(207\) | 185.752 | − | 31.5285i | 0.897352 | − | 0.152312i | ||||
\(208\) | 107.037 | + | 185.393i | 0.514600 | + | 0.891314i | ||||
\(209\) | 48.2135i | 0.230686i | ||||||||
\(210\) | −7.47245 | − | 20.7366i | −0.0355831 | − | 0.0987459i | ||||
\(211\) | 1.38961 | − | 2.40687i | 0.00658583 | − | 0.0114070i | −0.862714 | − | 0.505693i | \(-0.831237\pi\) |
0.869300 | + | 0.494286i | \(0.164570\pi\) | |||||||
\(212\) | 404.086 | − | 233.299i | 1.90607 | − | 1.10047i | ||||
\(213\) | 6.31256 | + | 5.33138i | 0.0296364 | + | 0.0250300i | ||||
\(214\) | −196.834 | + | 340.927i | −0.919786 | + | 1.59312i | ||||
\(215\) | 243.497i | 1.13254i | ||||||||
\(216\) | −240.626 | + | 407.687i | −1.11401 | + | 1.88744i | ||||
\(217\) | −1.19854 | + | 2.07594i | −0.00552324 | + | 0.00956654i | ||||
\(218\) | −2.20712 | − | 1.27428i | −0.0101244 | − | 0.00584532i | ||||
\(219\) | 170.636 | + | 30.6511i | 0.779159 | + | 0.139959i | ||||
\(220\) | −49.9985 | + | 86.6000i | −0.227266 | + | 0.393636i | ||||
\(221\) | 135.287 | − | 78.1082i | 0.612160 | − | 0.353431i | ||||
\(222\) | −573.759 | − | 484.578i | −2.58450 | − | 2.18278i | ||||
\(223\) | −123.261 | −0.552740 | −0.276370 | − | 0.961051i | \(-0.589132\pi\) | ||||
−0.276370 | + | 0.961051i | \(0.589132\pi\) | |||||||
\(224\) | 8.01028 | + | 4.62474i | 0.0357602 | + | 0.0206462i | ||||
\(225\) | 96.8816 | − | 80.2423i | 0.430585 | − | 0.356632i | ||||
\(226\) | −151.453 | −0.670144 | ||||||||
\(227\) | −330.582 | + | 190.861i | −1.45631 | + | 0.840800i | −0.998827 | − | 0.0484202i | \(-0.984581\pi\) |
−0.457480 | + | 0.889220i | \(0.651248\pi\) | |||||||
\(228\) | 241.658 | + | 670.619i | 1.05990 | + | 2.94131i | ||||
\(229\) | −26.9164 | + | 46.6206i | −0.117539 | + | 0.203583i | −0.918792 | − | 0.394742i | \(-0.870834\pi\) |
0.801253 | + | 0.598326i | \(0.204167\pi\) | |||||||
\(230\) | 406.285 | − | 234.569i | 1.76646 | − | 1.01987i | ||||
\(231\) | 0.313493 | − | 1.74523i | 0.00135711 | − | 0.00755510i | ||||
\(232\) | −280.858 | − | 486.461i | −1.21060 | − | 2.09681i | ||||
\(233\) | −254.855 | + | 147.140i | −1.09380 | + | 0.631504i | −0.934585 | − | 0.355740i | \(-0.884229\pi\) |
−0.159212 | + | 0.987244i | \(0.550895\pi\) | |||||||
\(234\) | 87.8489 | − | 236.639i | 0.375423 | − | 1.01128i | ||||
\(235\) | −198.647 | − | 344.067i | −0.845306 | − | 1.46411i | ||||
\(236\) | −595.089 | + | 343.575i | −2.52156 | + | 1.45583i | ||||
\(237\) | −271.448 | + | 321.405i | −1.14535 | + | 1.35614i | ||||
\(238\) | 11.7645 | − | 20.3767i | 0.0494307 | − | 0.0856164i | ||||
\(239\) | 368.056 | − | 212.497i | 1.53998 | − | 0.889109i | 0.541143 | − | 0.840931i | \(-0.317992\pi\) |
0.998839 | − | 0.0481777i | \(-0.0153414\pi\) | |||||||
\(240\) | −90.7249 | + | 505.069i | −0.378020 | + | 2.10446i | ||||
\(241\) | 9.65970 | 0.0400817 | 0.0200409 | − | 0.999799i | \(-0.493620\pi\) | ||||
0.0200409 | + | 0.999799i | \(0.493620\pi\) | |||||||
\(242\) | 366.039 | − | 211.333i | 1.51256 | − | 0.873276i | ||||
\(243\) | 239.953 | − | 38.3620i | 0.987460 | − | 0.157868i | ||||
\(244\) | −782.455 | −3.20678 | ||||||||
\(245\) | −264.350 | − | 152.623i | −1.07898 | − | 0.622950i | ||||
\(246\) | −171.247 | − | 475.224i | −0.696126 | − | 1.93181i | ||||
\(247\) | −104.482 | − | 180.968i | −0.423004 | − | 0.732664i | ||||
\(248\) | 111.019 | − | 64.0966i | 0.447656 | − | 0.258454i | ||||
\(249\) | 41.9602 | − | 233.594i | 0.168515 | − | 0.938128i | ||||
\(250\) | −123.508 | + | 213.922i | −0.494032 | + | 0.855688i | ||||
\(251\) | 123.217 | + | 71.1396i | 0.490906 | + | 0.283425i | 0.724950 | − | 0.688801i | \(-0.241863\pi\) |
−0.234044 | + | 0.972226i | \(0.575196\pi\) | |||||||
\(252\) | −4.38702 | − | 25.8463i | −0.0174088 | − | 0.102565i | ||||
\(253\) | 37.7398 | 0.149169 | ||||||||
\(254\) | − | 277.049i | − | 1.09075i | ||||||
\(255\) | 368.565 | + | 66.2049i | 1.44535 | + | 0.259627i | ||||
\(256\) | 239.516 | + | 414.855i | 0.935611 | + | 1.62053i | ||||
\(257\) | 23.2260 | − | 13.4096i | 0.0903737 | − | 0.0521773i | −0.454132 | − | 0.890934i | \(-0.650051\pi\) |
0.544506 | + | 0.838757i | \(0.316717\pi\) | |||||||
\(258\) | −74.2546 | + | 413.379i | −0.287809 | + | 1.60224i | ||||
\(259\) | 22.8651 | 0.0882823 | ||||||||
\(260\) | − | 433.401i | − | 1.66693i | ||||||
\(261\) | −100.348 | + | 270.307i | −0.384473 | + | 1.03566i | ||||
\(262\) | 40.5672 | − | 70.2645i | 0.154837 | − | 0.268185i | ||||
\(263\) | − | 298.676i | − | 1.13565i | −0.823149 | − | 0.567826i | \(-0.807785\pi\) | ||
0.823149 | − | 0.567826i | \(-0.192215\pi\) | |||||||
\(264\) | −61.1854 | + | 72.4459i | −0.231763 | + | 0.274416i | ||||
\(265\) | −327.877 | −1.23727 | ||||||||
\(266\) | −27.2570 | − | 15.7369i | −0.102470 | − | 0.0591611i | ||||
\(267\) | −148.538 | + | 53.5258i | −0.556323 | + | 0.200471i | ||||
\(268\) | −509.652 | − | 307.573i | −1.90169 | − | 1.14766i | ||||
\(269\) | − | 2.64942i | − | 0.00984914i | −0.999988 | − | 0.00492457i | \(-0.998432\pi\) | ||
0.999988 | − | 0.00492457i | \(-0.00156755\pi\) | |||||||
\(270\) | 526.887 | − | 297.491i | 1.95143 | − | 1.10182i | ||||
\(271\) | 245.093 | 0.904400 | 0.452200 | − | 0.891916i | \(-0.350639\pi\) | ||||
0.452200 | + | 0.891916i | \(0.350639\pi\) | |||||||
\(272\) | −474.386 | + | 273.887i | −1.74407 | + | 1.00694i | ||||
\(273\) | 2.60534 | + | 7.23003i | 0.00954338 | + | 0.0264836i | ||||
\(274\) | 214.931 | − | 372.271i | 0.784419 | − | 1.35865i | ||||
\(275\) | 21.8223 | − | 12.5991i | 0.0793537 | − | 0.0458149i | ||||
\(276\) | 524.937 | − | 189.161i | 1.90195 | − | 0.685367i | ||||
\(277\) | −222.142 | −0.801958 | −0.400979 | − | 0.916087i | \(-0.631330\pi\) | ||||
−0.400979 | + | 0.916087i | \(0.631330\pi\) | |||||||
\(278\) | 781.221 | + | 451.038i | 2.81015 | + | 1.62244i | ||||
\(279\) | −61.6886 | − | 22.9010i | −0.221106 | − | 0.0820825i | ||||
\(280\) | −17.9444 | − | 31.0806i | −0.0640871 | − | 0.111002i | ||||
\(281\) | −142.102 | − | 82.0424i | −0.505700 | − | 0.291966i | 0.225364 | − | 0.974275i | \(-0.427643\pi\) |
−0.731064 | + | 0.682309i | \(0.760976\pi\) | |||||||
\(282\) | −232.314 | − | 644.691i | −0.823810 | − | 2.28614i | ||||
\(283\) | 413.355 | 1.46062 | 0.730309 | − | 0.683117i | \(-0.239376\pi\) | ||||
0.730309 | + | 0.683117i | \(0.239376\pi\) | |||||||
\(284\) | 21.1919 | + | 12.2351i | 0.0746193 | + | 0.0430815i | ||||
\(285\) | 88.5593 | − | 493.013i | 0.310734 | − | 1.72987i | ||||
\(286\) | 25.2809 | − | 43.7877i | 0.0883946 | − | 0.153104i | ||||
\(287\) | 13.3189 | + | 7.68967i | 0.0464073 | + | 0.0267933i | ||||
\(288\) | −88.3666 | + | 238.034i | −0.306829 | + | 0.826506i | ||||
\(289\) | 55.3640 | + | 95.8932i | 0.191571 | + | 0.331810i | ||||
\(290\) | 717.948i | 2.47568i | ||||||||
\(291\) | −136.211 | − | 24.4674i | −0.468079 | − | 0.0840803i | ||||
\(292\) | 513.433 | 1.75833 | ||||||||
\(293\) | 470.012i | 1.60414i | 0.597232 | + | 0.802068i | \(0.296267\pi\) | ||||
−0.597232 | + | 0.802068i | \(0.703733\pi\) | |||||||
\(294\) | −402.238 | − | 339.717i | −1.36816 | − | 1.15550i | ||||
\(295\) | 482.858 | 1.63681 | ||||||||
\(296\) | −1058.97 | − | 611.399i | −3.57762 | − | 2.06554i | ||||
\(297\) | 48.6727 | + | 0.467313i | 0.163881 | + | 0.00157344i | ||||
\(298\) | 49.1711 | − | 85.1668i | 0.165004 | − | 0.285795i | ||||
\(299\) | −141.655 | + | 81.7848i | −0.473764 | + | 0.273528i | ||||
\(300\) | 240.384 | − | 284.624i | 0.801281 | − | 0.948747i | ||||
\(301\) | −6.39355 | − | 11.0740i | −0.0212410 | − | 0.0367906i | ||||
\(302\) | −18.5364 | + | 10.7020i | −0.0613789 | + | 0.0354371i | ||||
\(303\) | −382.697 | − | 323.213i | −1.26303 | − | 1.06671i | ||||
\(304\) | 366.366 | + | 634.565i | 1.20515 | + | 2.08739i | ||||
\(305\) | 476.166 | + | 274.914i | 1.56120 | + | 0.901358i | ||||
\(306\) | 605.515 | + | 224.789i | 1.97881 | + | 0.734603i | ||||
\(307\) | −271.865 | + | 470.884i | −0.885554 | + | 1.53383i | −0.0404776 | + | 0.999180i | \(0.512888\pi\) |
−0.845077 | + | 0.534645i | \(0.820445\pi\) | |||||||
\(308\) | − | 5.25129i | − | 0.0170496i | ||||||
\(309\) | −54.8018 | + | 64.8874i | −0.177352 | + | 0.209992i | ||||
\(310\) | −163.848 | −0.528542 | ||||||||
\(311\) | 438.000i | 1.40836i | 0.710022 | + | 0.704180i | \(0.248685\pi\) | ||||
−0.710022 | + | 0.704180i | \(0.751315\pi\) | |||||||
\(312\) | 72.6628 | − | 404.517i | 0.232894 | − | 1.29653i | ||||
\(313\) | −196.687 | −0.628392 | −0.314196 | − | 0.949358i | \(-0.601735\pi\) | ||||
−0.314196 | + | 0.949358i | \(0.601735\pi\) | |||||||
\(314\) | −567.925 | + | 327.892i | −1.80868 | + | 1.04424i | ||||
\(315\) | −6.41133 | + | 17.2702i | −0.0203534 | + | 0.0548262i | ||||
\(316\) | −622.955 | + | 1078.99i | −1.97138 | + | 3.41452i | ||||
\(317\) | −242.844 | − | 140.206i | −0.766069 | − | 0.442290i | 0.0654013 | − | 0.997859i | \(-0.479167\pi\) |
−0.831471 | + | 0.555569i | \(0.812501\pi\) | |||||||
\(318\) | −556.629 | − | 99.9865i | −1.75041 | − | 0.314423i | ||||
\(319\) | −28.8777 | + | 50.0176i | −0.0905256 | + | 0.156795i | ||||
\(320\) | − | 51.9749i | − | 0.162422i | ||||||
\(321\) | 309.532 | − | 111.540i | 0.964273 | − | 0.347476i | ||||
\(322\) | −12.3183 | + | 21.3359i | −0.0382555 | + | 0.0662604i | ||||
\(323\) | 463.062 | − | 267.349i | 1.43363 | − | 0.827707i | ||||
\(324\) | 679.349 | − | 237.460i | 2.09676 | − | 0.732900i | ||||
\(325\) | −54.6062 | + | 94.5807i | −0.168019 | + | 0.291018i | ||||
\(326\) | 489.292i | 1.50089i | ||||||||
\(327\) | 0.722094 | + | 2.00387i | 0.00220824 | + | 0.00612804i | ||||
\(328\) | −411.234 | − | 712.278i | −1.25376 | − | 2.17158i | ||||
\(329\) | 18.0685 | + | 10.4318i | 0.0549193 | + | 0.0317077i | ||||
\(330\) | 114.024 | − | 41.0884i | 0.345526 | − | 0.124510i | ||||
\(331\) | 3.43848 | + | 5.95562i | 0.0103882 | + | 0.0179928i | 0.871173 | − | 0.490977i | \(-0.163360\pi\) |
−0.860785 | + | 0.508969i | \(0.830027\pi\) | |||||||
\(332\) | − | 702.870i | − | 2.11708i | ||||||
\(333\) | 105.035 | + | 618.818i | 0.315420 | + | 1.85831i | ||||
\(334\) | 604.093 | 1.80866 | ||||||||
\(335\) | 202.085 | + | 366.240i | 0.603238 | + | 1.09325i | ||||
\(336\) | −9.13565 | − | 25.3521i | −0.0271894 | − | 0.0754528i | ||||
\(337\) | 76.5731 | − | 132.629i | 0.227220 | − | 0.393557i | −0.729763 | − | 0.683700i | \(-0.760370\pi\) |
0.956983 | + | 0.290143i | \(0.0937030\pi\) | |||||||
\(338\) | − | 387.487i | − | 1.14641i | ||||||
\(339\) | 96.7043 | + | 81.6734i | 0.285264 | + | 0.240924i | ||||
\(340\) | 1108.99 | 3.26174 | ||||||||
\(341\) | −11.4149 | − | 6.59038i | −0.0334747 | − | 0.0193266i | ||||
\(342\) | 300.690 | − | 809.970i | 0.879210 | − | 2.36833i | ||||
\(343\) | 32.0948 | 0.0935709 | ||||||||
\(344\) | 683.839i | 1.98790i | ||||||||
\(345\) | −385.914 | − | 69.3211i | −1.11859 | − | 0.200931i | ||||
\(346\) | −175.671 | − | 304.271i | −0.507720 | − | 0.879397i | ||||
\(347\) | 52.4992 | − | 30.3104i | 0.151295 | − | 0.0873500i | −0.422442 | − | 0.906390i | \(-0.638827\pi\) |
0.573736 | + | 0.819040i | \(0.305493\pi\) | |||||||
\(348\) | −150.970 | + | 840.456i | −0.433822 | + | 2.41510i | ||||
\(349\) | 255.090 | 0.730916 | 0.365458 | − | 0.930828i | \(-0.380912\pi\) | ||||
0.365458 | + | 0.930828i | \(0.380912\pi\) | |||||||
\(350\) | 16.4494i | 0.0469982i | ||||||||
\(351\) | −183.704 | + | 103.723i | −0.523374 | + | 0.295507i | ||||
\(352\) | −25.4298 | + | 44.0458i | −0.0722439 | + | 0.125130i | ||||
\(353\) | −343.251 | − | 198.176i | −0.972383 | − | 0.561406i | −0.0724210 | − | 0.997374i | \(-0.523073\pi\) |
−0.899962 | + | 0.435969i | \(0.856406\pi\) | |||||||
\(354\) | 819.735 | + | 147.248i | 2.31564 | + | 0.415955i | ||||
\(355\) | −8.59759 | − | 14.8915i | −0.0242186 | − | 0.0419478i | ||||
\(356\) | −404.946 | + | 233.796i | −1.13749 | + | 0.656730i | ||||
\(357\) | −18.5003 | + | 6.66658i | −0.0518215 | + | 0.0186739i | ||||
\(358\) | −276.194 | + | 478.382i | −0.771492 | + | 1.33626i | ||||
\(359\) | 573.015i | 1.59614i | 0.602564 | + | 0.798070i | \(0.294146\pi\) | ||||
−0.602564 | + | 0.798070i | \(0.705854\pi\) | |||||||
\(360\) | 758.730 | − | 628.419i | 2.10758 | − | 1.74561i | ||||
\(361\) | −177.121 | − | 306.783i | −0.490641 | − | 0.849815i | ||||
\(362\) | − | 26.7977i | − | 0.0740268i | ||||||
\(363\) | −347.685 | − | 62.4542i | −0.957811 | − | 0.172050i | ||||
\(364\) | 11.3799 | + | 19.7106i | 0.0312635 | + | 0.0541499i | ||||
\(365\) | −312.451 | − | 180.394i | −0.856030 | − | 0.494229i | ||||
\(366\) | 724.539 | + | 611.922i | 1.97961 | + | 1.67192i | ||||
\(367\) | −112.581 | − | 194.997i | −0.306761 | − | 0.531326i | 0.670891 | − | 0.741556i | \(-0.265912\pi\) |
−0.977652 | + | 0.210230i | \(0.932579\pi\) | |||||||
\(368\) | 496.716 | − | 286.779i | 1.34977 | − | 0.779290i | ||||
\(369\) | −146.929 | + | 395.784i | −0.398182 | + | 1.07259i | ||||
\(370\) | 781.449 | + | 1353.51i | 2.11202 | + | 3.65813i | ||||
\(371\) | 14.9115 | − | 8.60914i | 0.0401927 | − | 0.0232052i | ||||
\(372\) | −191.806 | − | 34.4539i | −0.515608 | − | 0.0926180i | ||||
\(373\) | 6.33238 | + | 10.9680i | 0.0169769 | + | 0.0294048i | 0.874389 | − | 0.485226i | \(-0.161262\pi\) |
−0.857412 | + | 0.514630i | \(0.827929\pi\) | |||||||
\(374\) | 112.044 | + | 64.6889i | 0.299584 | + | 0.172965i | ||||
\(375\) | 194.222 | − | 69.9881i | 0.517927 | − | 0.186635i | ||||
\(376\) | −557.881 | − | 966.279i | −1.48373 | − | 2.56989i | ||||
\(377\) | − | 250.320i | − | 0.663978i | ||||||
\(378\) | −16.1509 | + | 27.3641i | −0.0427273 | + | 0.0723918i | ||||
\(379\) | −50.6066 | + | 87.6531i | −0.133527 | + | 0.231275i | −0.925034 | − | 0.379885i | \(-0.875963\pi\) |
0.791507 | + | 0.611160i | \(0.209297\pi\) | |||||||
\(380\) | − | 1483.45i | − | 3.90381i | ||||||
\(381\) | −149.404 | + | 176.899i | −0.392135 | + | 0.464303i | ||||
\(382\) | −538.754 | − | 933.149i | −1.41035 | − | 2.44280i | ||||
\(383\) | 245.824 | + | 141.926i | 0.641838 | + | 0.370565i | 0.785322 | − | 0.619087i | \(-0.212497\pi\) |
−0.143484 | + | 0.989653i | \(0.545831\pi\) | |||||||
\(384\) | 75.7038 | − | 421.446i | 0.197145 | − | 1.09752i | ||||
\(385\) | −1.84503 | + | 3.19569i | −0.00479229 | + | 0.00830049i | ||||
\(386\) | −603.349 | − | 348.344i | −1.56308 | − | 0.902445i | ||||
\(387\) | 270.334 | − | 223.904i | 0.698538 | − | 0.578564i | ||||
\(388\) | −409.850 | −1.05632 | ||||||||
\(389\) | 339.820 | + | 196.195i | 0.873573 | + | 0.504358i | 0.868534 | − | 0.495629i | \(-0.165063\pi\) |
0.00503929 | + | 0.999987i | \(0.498396\pi\) | |||||||
\(390\) | −338.943 | + | 401.321i | −0.869085 | + | 1.02903i | ||||
\(391\) | −209.272 | − | 362.469i | −0.535222 | − | 0.927031i | ||||
\(392\) | −742.403 | − | 428.627i | −1.89388 | − | 1.09343i | ||||
\(393\) | −63.7940 | + | 22.9882i | −0.162326 | + | 0.0584941i | ||||
\(394\) | −676.784 | −1.71773 | ||||||||
\(395\) | 758.202 | − | 437.748i | 1.91950 | − | 1.10822i | ||||
\(396\) | 142.120 | − | 24.1227i | 0.358889 | − | 0.0609160i | ||||
\(397\) | 713.608 | 1.79750 | 0.898751 | − | 0.438459i | \(-0.144476\pi\) | ||||
0.898751 | + | 0.438459i | \(0.144476\pi\) | |||||||
\(398\) | −557.123 | + | 321.655i | −1.39981 | + | 0.808178i | ||||
\(399\) | 8.91758 | + | 24.7470i | 0.0223498 | + | 0.0620225i | ||||
\(400\) | 191.477 | − | 331.648i | 0.478693 | − | 0.829120i | ||||
\(401\) | − | 96.6915i | − | 0.241126i | −0.992706 | − | 0.120563i | \(-0.961530\pi\) | ||
0.992706 | − | 0.120563i | \(-0.0384700\pi\) | |||||||
\(402\) | 231.389 | + | 683.382i | 0.575595 | + | 1.69995i | ||||
\(403\) | 57.1272 | 0.141755 | ||||||||
\(404\) | −1284.75 | − | 741.752i | −3.18008 | − | 1.83602i | ||||
\(405\) | −496.851 | − | 94.1814i | −1.22679 | − | 0.232547i | ||||
\(406\) | −18.8513 | − | 32.6514i | −0.0464318 | − | 0.0804223i | ||||
\(407\) | 125.727i | 0.308913i | ||||||||
\(408\) | 1035.08 | + | 185.930i | 2.53696 | + | 0.455711i | ||||
\(409\) | −208.542 | − | 361.205i | −0.509883 | − | 0.883143i | −0.999934 | − | 0.0114496i | \(-0.996355\pi\) |
0.490052 | − | 0.871693i | \(-0.336978\pi\) | |||||||
\(410\) | 1051.22i | 2.56396i | ||||||||
\(411\) | −337.990 | + | 121.795i | −0.822359 | + | 0.296337i | ||||
\(412\) | −125.766 | + | 217.833i | −0.305258 | + | 0.528722i | ||||
\(413\) | −21.9598 | + | 12.6785i | −0.0531714 | + | 0.0306985i | ||||
\(414\) | −634.016 | − | 235.370i | −1.53144 | − | 0.568525i | ||||
\(415\) | −246.952 | + | 427.734i | −0.595065 | + | 1.03068i | ||||
\(416\) | − | 220.433i | − | 0.529887i | ||||||
\(417\) | −255.589 | − | 709.280i | −0.612924 | − | 1.70091i | ||||
\(418\) | 86.5315 | − | 149.877i | 0.207013 | − | 0.358557i | ||||
\(419\) | 13.0211 | + | 7.51772i | 0.0310765 | + | 0.0179420i | 0.515458 | − | 0.856915i | \(-0.327622\pi\) |
−0.484381 | + | 0.874857i | \(0.660955\pi\) | |||||||
\(420\) | −9.64566 | + | 53.6978i | −0.0229659 | + | 0.127852i | ||||
\(421\) | 173.482 | − | 300.479i | 0.412071 | − | 0.713728i | −0.583045 | − | 0.812440i | \(-0.698139\pi\) |
0.995116 | + | 0.0987119i | \(0.0314722\pi\) | |||||||
\(422\) | −8.63951 | + | 4.98802i | −0.0204728 | + | 0.0118200i | ||||
\(423\) | −199.325 | + | 536.923i | −0.471217 | + | 1.26932i | ||||
\(424\) | −920.813 | −2.17173 | ||||||||
\(425\) | −242.014 | − | 139.727i | −0.569445 | − | 0.328769i | ||||
\(426\) | −10.0547 | − | 27.9027i | −0.0236027 | − | 0.0654993i | ||||
\(427\) | −28.8739 | −0.0676205 | ||||||||
\(428\) | 843.848 | − | 487.196i | 1.97161 | − | 1.13831i | ||||
\(429\) | −39.7554 | + | 14.3259i | −0.0926700 | + | 0.0333937i | ||||
\(430\) | 437.018 | − | 756.937i | 1.01632 | − | 1.76032i | ||||
\(431\) | −308.725 | + | 178.242i | −0.716298 | + | 0.413555i | −0.813389 | − | 0.581721i | \(-0.802380\pi\) |
0.0970905 | + | 0.995276i | \(0.469046\pi\) | |||||||
\(432\) | 644.160 | − | 363.705i | 1.49111 | − | 0.841911i | ||||
\(433\) | −336.614 | − | 583.032i | −0.777399 | − | 1.34649i | −0.933436 | − | 0.358743i | \(-0.883205\pi\) |
0.156038 | − | 0.987751i | \(-0.450128\pi\) | |||||||
\(434\) | 7.45161 | − | 4.30219i | 0.0171696 | − | 0.00991288i | ||||
\(435\) | 387.166 | − | 458.419i | 0.890036 | − | 1.05384i | ||||
\(436\) | 3.15404 | + | 5.46296i | 0.00723405 | + | 0.0125297i | ||||
\(437\) | −484.859 | + | 279.934i | −1.10952 | + | 0.640580i | ||||
\(438\) | −475.429 | − | 401.532i | −1.08545 | − | 0.916740i | ||||
\(439\) | −196.308 | + | 340.015i | −0.447171 | + | 0.774522i | −0.998201 | − | 0.0599632i | \(-0.980902\pi\) |
0.551030 | + | 0.834485i | \(0.314235\pi\) | |||||||
\(440\) | 170.901 | − | 98.6700i | 0.388412 | − | 0.224250i | ||||
\(441\) | 73.6356 | + | 433.828i | 0.166974 | + | 0.983736i | ||||
\(442\) | −560.741 | −1.26865 | ||||||||
\(443\) | 400.981 | − | 231.507i | 0.905150 | − | 0.522589i | 0.0262825 | − | 0.999655i | \(-0.491633\pi\) |
0.878867 | + | 0.477066i | \(0.158300\pi\) | |||||||
\(444\) | 630.177 | + | 1748.79i | 1.41932 | + | 3.93872i | ||||
\(445\) | 328.575 | 0.738371 | ||||||||
\(446\) | 383.171 | + | 221.224i | 0.859128 | + | 0.496018i | ||||
\(447\) | −77.3240 | + | 27.8637i | −0.172984 | + | 0.0623349i | ||||
\(448\) | 1.36472 | + | 2.36376i | 0.00304624 | + | 0.00527625i | ||||
\(449\) | 454.841 | − | 262.603i | 1.01301 | − | 0.584861i | 0.100938 | − | 0.994893i | \(-0.467816\pi\) |
0.912071 | + | 0.410032i | \(0.134482\pi\) | |||||||
\(450\) | −445.183 | + | 75.5630i | −0.989295 | + | 0.167918i | ||||
\(451\) | −42.2828 | + | 73.2360i | −0.0937535 | + | 0.162386i | ||||
\(452\) | 324.646 | + | 187.435i | 0.718244 | + | 0.414678i | ||||
\(453\) | 17.6070 | + | 3.16272i | 0.0388675 | + | 0.00698172i | ||||
\(454\) | 1370.20 | 3.01806 | ||||||||
\(455\) | − | 15.9932i | − | 0.0351500i | ||||||
\(456\) | 248.711 | − | 1384.58i | 0.545418 | − | 3.03636i | ||||
\(457\) | 4.44168 | + | 7.69322i | 0.00971922 | + | 0.0168342i | 0.870844 | − | 0.491559i | \(-0.163573\pi\) |
−0.861125 | + | 0.508393i | \(0.830240\pi\) | |||||||
\(458\) | 167.345 | − | 96.6169i | 0.365383 | − | 0.210954i | ||||
\(459\) | −265.407 | − | 470.064i | −0.578230 | − | 1.02411i | ||||
\(460\) | −1161.19 | −2.52433 | ||||||||
\(461\) | − | 752.593i | − | 1.63252i | −0.577683 | − | 0.816261i | \(-0.696043\pi\) | ||
0.577683 | − | 0.816261i | \(-0.303957\pi\) | |||||||
\(462\) | −4.10679 | + | 4.86259i | −0.00888916 | + | 0.0105251i | ||||
\(463\) | −365.453 | + | 632.984i | −0.789316 | + | 1.36714i | 0.137071 | + | 0.990561i | \(0.456231\pi\) |
−0.926387 | + | 0.376574i | \(0.877102\pi\) | |||||||
\(464\) | 877.747i | 1.89170i | ||||||||
\(465\) | 104.619 | + | 88.3578i | 0.224987 | + | 0.190017i | ||||
\(466\) | 1056.33 | 2.26679 | ||||||||
\(467\) | −65.3596 | − | 37.7354i | −0.139956 | − | 0.0808038i | 0.428387 | − | 0.903595i | \(-0.359082\pi\) |
−0.568343 | + | 0.822792i | \(0.692415\pi\) | |||||||
\(468\) | −481.168 | + | 398.528i | −1.02814 | + | 0.851556i | ||||
\(469\) | −18.8070 | − | 11.3500i | −0.0401002 | − | 0.0242004i | ||||
\(470\) | 1426.09i | 3.03424i | ||||||||
\(471\) | 539.448 | + | 96.9004i | 1.14533 | + | 0.205733i | ||||
\(472\) | 1356.06 | 2.87301 | ||||||||
\(473\) | 60.8918 | − | 35.1559i | 0.128735 | − | 0.0743254i | ||||
\(474\) | 1420.67 | − | 511.939i | 2.99720 | − | 1.08004i | ||||
\(475\) | −186.906 | + | 323.732i | −0.393487 | + | 0.681540i | ||||
\(476\) | −50.4356 | + | 29.1190i | −0.105957 | + | 0.0611744i | ||||
\(477\) | 301.495 | + | 364.014i | 0.632065 | + | 0.763133i | ||||
\(478\) | −1525.52 | −3.19147 | ||||||||
\(479\) | −25.6192 | − | 14.7913i | −0.0534848 | − | 0.0308795i | 0.473019 | − | 0.881052i | \(-0.343164\pi\) |
−0.526504 | + | 0.850173i | \(0.676497\pi\) | |||||||
\(480\) | 340.940 | − | 403.686i | 0.710292 | − | 0.841013i | ||||
\(481\) | −272.460 | − | 471.914i | −0.566445 | − | 0.981111i | ||||
\(482\) | −30.0283 | − | 17.3368i | −0.0622993 | − | 0.0359685i | ||||
\(483\) | 19.3711 | − | 6.98037i | 0.0401058 | − | 0.0144521i | ||||
\(484\) | −1046.16 | −2.16150 | ||||||||
\(485\) | 249.416 | + | 144.000i | 0.514259 | + | 0.296908i | ||||
\(486\) | −814.771 | − | 311.405i | −1.67648 | − | 0.640750i | ||||
\(487\) | −274.762 | + | 475.903i | −0.564194 | + | 0.977213i | 0.432930 | + | 0.901427i | \(0.357480\pi\) |
−0.997124 | + | 0.0757851i | \(0.975854\pi\) | |||||||
\(488\) | 1337.27 | + | 772.071i | 2.74030 | + | 1.58211i | ||||
\(489\) | 263.859 | − | 312.419i | 0.539589 | − | 0.638893i | ||||
\(490\) | 547.841 | + | 948.889i | 1.11804 | + | 1.93651i | ||||
\(491\) | 446.874i | 0.910130i | 0.890458 | + | 0.455065i | \(0.150384\pi\) | ||||
−0.890458 | + | 0.455065i | \(0.849616\pi\) | |||||||
\(492\) | −221.051 | + | 1230.60i | −0.449290 | + | 2.50122i | ||||
\(493\) | 640.520 | 1.29923 | ||||||||
\(494\) | 750.079i | 1.51838i | ||||||||
\(495\) | −94.9631 | − | 35.2537i | −0.191845 | − | 0.0712196i | ||||
\(496\) | −200.317 | −0.403865 | ||||||||
\(497\) | 0.782017 | + | 0.451498i | 0.00157347 | + | 0.000908446i | ||||
\(498\) | −549.682 | + | 650.844i | −1.10378 | + | 1.30692i | ||||
\(499\) | 188.341 | − | 326.216i | 0.377436 | − | 0.653739i | −0.613252 | − | 0.789887i | \(-0.710139\pi\) |
0.990688 | + | 0.136148i | \(0.0434724\pi\) | |||||||
\(500\) | 529.491 | − | 305.702i | 1.05898 | − | 0.611404i | ||||
\(501\) | −385.721 | − | 325.768i | −0.769903 | − | 0.650235i | ||||
\(502\) | −255.357 | − | 442.290i | −0.508678 | − | 0.881057i | ||||
\(503\) | 186.865 | − | 107.887i | 0.371501 | − | 0.214486i | −0.302613 | − | 0.953114i | \(-0.597859\pi\) |
0.674114 | + | 0.738627i | \(0.264526\pi\) | |||||||
\(504\) | −18.0056 | + | 48.5019i | −0.0357255 | + | 0.0962339i | ||||
\(505\) | 521.226 | + | 902.791i | 1.03213 | + | 1.78770i | ||||
\(506\) | −117.318 | − | 67.7338i | −0.231855 | − | 0.133861i | ||||
\(507\) | −208.959 | + | 247.415i | −0.412148 | + | 0.487998i | ||||
\(508\) | −342.871 | + | 593.869i | −0.674942 | + | 1.16903i | ||||
\(509\) | − | 130.472i | − | 0.256331i | −0.991753 | − | 0.128165i | \(-0.959091\pi\) | ||
0.991753 | − | 0.128165i | \(-0.0409088\pi\) | |||||||
\(510\) | −1026.90 | − | 867.290i | −2.01354 | − | 1.70057i | ||||
\(511\) | 18.9465 | 0.0370774 | ||||||||
\(512\) | − | 1148.57i | − | 2.24331i | ||||||
\(513\) | −628.785 | + | 355.024i | −1.22570 | + | 0.692054i | ||||
\(514\) | −96.2676 | −0.187291 | ||||||||
\(515\) | 153.071 | − | 88.3755i | 0.297225 | − | 0.171603i | ||||
\(516\) | 670.757 | − | 794.202i | 1.29992 | − | 1.53915i | ||||
\(517\) | −57.3610 | + | 99.3522i | −0.110950 | + | 0.192171i | ||||
\(518\) | −71.0788 | − | 41.0374i | −0.137218 | − | 0.0792227i | ||||
\(519\) | −51.9153 | + | 289.015i | −0.100030 | + | 0.556869i | ||||
\(520\) | −427.649 | + | 740.710i | −0.822402 | + | 1.42444i | ||||
\(521\) | 116.822i | 0.224226i | 0.993695 | + | 0.112113i | \(0.0357619\pi\) | ||||
−0.993695 | + | 0.112113i | \(0.964238\pi\) | |||||||
\(522\) | 797.077 | − | 660.179i | 1.52697 | − | 1.26471i | ||||
\(523\) | −5.79925 | + | 10.0446i | −0.0110884 | + | 0.0192057i | −0.871516 | − | 0.490366i | \(-0.836863\pi\) |
0.860428 | + | 0.509572i | \(0.170196\pi\) | |||||||
\(524\) | −173.916 | + | 100.410i | −0.331900 | + | 0.191623i | ||||
\(525\) | 8.87059 | − | 10.5031i | 0.0168964 | − | 0.0200059i | ||||
\(526\) | −536.052 | + | 928.469i | −1.01911 | + | 1.76515i | ||||
\(527\) | 146.178i | 0.277377i | ||||||||
\(528\) | 139.403 | − | 50.2338i | 0.264020 | − | 0.0951397i | ||||
\(529\) | −45.3778 | − | 78.5967i | −0.0857804 | − | 0.148576i | ||||
\(530\) | 1019.24 | + | 588.460i | 1.92310 | + | 1.11030i | ||||
\(531\) | −444.005 | − | 536.076i | −0.836168 | − | 1.00956i | ||||
\(532\) | 38.9512 | + | 67.4655i | 0.0732166 | + | 0.126815i | ||||
\(533\) | − | 366.519i | − | 0.687653i | ||||||
\(534\) | 557.814 | + | 100.199i | 1.04459 | + | 0.187639i | ||||
\(535\) | −684.702 | −1.27982 | ||||||||
\(536\) | 567.536 | + | 1028.55i | 1.05884 | + | 1.91894i | ||||
\(537\) | 434.329 | − | 156.511i | 0.808806 | − | 0.291454i | ||||
\(538\) | −4.75506 | + | 8.23601i | −0.00883841 | + | 0.0153086i | ||||
\(539\) | 88.1422i | 0.163529i | ||||||||
\(540\) | −1497.58 | − | 14.3784i | −2.77329 | − | 0.0266267i | ||||
\(541\) | 51.2806 | 0.0947886 | 0.0473943 | − | 0.998876i | \(-0.484908\pi\) | ||||
0.0473943 | + | 0.998876i | \(0.484908\pi\) | |||||||
\(542\) | −761.897 | − | 439.882i | −1.40571 | − | 0.811590i | ||||
\(543\) | −14.4511 | + | 17.1107i | −0.0266135 | + | 0.0315113i | ||||
\(544\) | 564.046 | 1.03685 | ||||||||
\(545\) | − | 4.43267i | − | 0.00813334i | ||||||
\(546\) | 4.87715 | − | 27.1513i | 0.00893252 | − | 0.0497277i | ||||
\(547\) | 306.576 | + | 531.006i | 0.560469 | + | 0.970760i | 0.997455 | + | 0.0712924i | \(0.0227124\pi\) |
−0.436987 | + | 0.899468i | \(0.643954\pi\) | |||||||
\(548\) | −921.430 | + | 531.988i | −1.68144 | + | 0.970781i | ||||
\(549\) | −132.638 | − | 781.440i | −0.241598 | − | 1.42339i | ||||
\(550\) | −90.4493 | −0.164453 | ||||||||
\(551\) | − | 856.796i | − | 1.55498i | ||||||
\(552\) | −1083.80 | − | 194.682i | −1.96341 | − | 0.352685i | ||||
\(553\) | −22.9881 | + | 39.8165i | −0.0415698 | + | 0.0720010i | ||||
\(554\) | 690.554 | + | 398.692i | 1.24649 | + | 0.719660i | ||||
\(555\) | 230.938 | − | 1285.64i | 0.416105 | − | 2.31647i | ||||
\(556\) | −1116.39 | − | 1933.65i | −2.00790 | − | 3.47778i | ||||
\(557\) | −631.412 | + | 364.546i | −1.13360 | + | 0.654481i | −0.944837 | − | 0.327542i | \(-0.893780\pi\) |
−0.188759 | + | 0.982024i | \(0.560446\pi\) | |||||||
\(558\) | 150.664 | + | 181.906i | 0.270007 | + | 0.325997i | ||||
\(559\) | −152.371 | + | 263.914i | −0.272577 | + | 0.472117i | ||||
\(560\) | 56.0804i | 0.100144i | ||||||||
\(561\) | −36.6572 | − | 101.727i | −0.0653426 | − | 0.181331i | ||||
\(562\) | 294.493 | + | 510.076i | 0.524008 | + | 0.907609i | ||||
\(563\) | − | 417.193i | − | 0.741019i | −0.928829 | − | 0.370509i | \(-0.879183\pi\) | ||
0.928829 | − | 0.370509i | \(-0.120817\pi\) | |||||||
\(564\) | −299.878 | + | 1669.43i | −0.531699 | + | 2.95999i | ||||
\(565\) | −131.710 | − | 228.128i | −0.233114 | − | 0.403766i | ||||
\(566\) | −1284.96 | − | 741.871i | −2.27025 | − | 1.31073i | ||||
\(567\) | 25.0691 | − | 8.76266i | 0.0442137 | − | 0.0154544i | ||||
\(568\) | −24.1455 | − | 41.8213i | −0.0425097 | − | 0.0736290i | ||||
\(569\) | −726.177 | + | 419.258i | −1.27623 | + | 0.736834i | −0.976154 | − | 0.217081i | \(-0.930347\pi\) |
−0.300079 | + | 0.953914i | \(0.597013\pi\) | |||||||
\(570\) | −1160.14 | + | 1373.64i | −2.03533 | + | 2.40990i | ||||
\(571\) | 556.552 | + | 963.976i | 0.974697 | + | 1.68822i | 0.680932 | + | 0.732346i | \(0.261575\pi\) |
0.293764 | + | 0.955878i | \(0.405092\pi\) | |||||||
\(572\) | −108.382 | + | 62.5741i | −0.189478 | + | 0.109395i | ||||
\(573\) | −159.215 | + | 886.359i | −0.277863 | + | 1.54687i | ||||
\(574\) | −27.6022 | − | 47.8084i | −0.0480874 | − | 0.0832899i | ||||
\(575\) | 253.406 | + | 146.304i | 0.440706 | + | 0.254442i | ||||
\(576\) | −57.7034 | + | 47.7929i | −0.100179 | + | 0.0829737i | ||||
\(577\) | 298.919 | + | 517.743i | 0.518057 | + | 0.897302i | 0.999780 | + | 0.0209780i | \(0.00667799\pi\) |
−0.481723 | + | 0.876324i | \(0.659989\pi\) | |||||||
\(578\) | − | 397.460i | − | 0.687647i | ||||||
\(579\) | 197.396 | + | 547.788i | 0.340925 | + | 0.946093i | ||||
\(580\) | 888.518 | − | 1538.96i | 1.53193 | − | 2.65338i | ||||
\(581\) | − | 25.9371i | − | 0.0446422i | ||||||
\(582\) | 379.514 | + | 320.525i | 0.652085 | + | 0.550730i | ||||
\(583\) | 47.3387 | + | 81.9930i | 0.0811985 | + | 0.140640i | ||||
\(584\) | −877.490 | − | 506.619i | −1.50255 | − | 0.867498i | ||||
\(585\) | 432.839 | − | 73.4678i | 0.739895 | − | 0.125586i | ||||
\(586\) | 843.558 | − | 1461.08i | 1.43952 | − | 2.49332i | ||||
\(587\) | −56.2503 | − | 32.4761i | −0.0958267 | − | 0.0553256i | 0.451321 | − | 0.892362i | \(-0.350953\pi\) |
−0.547148 | + | 0.837036i | \(0.684286\pi\) | |||||||
\(588\) | 441.791 | + | 1226.00i | 0.751344 | + | 2.08504i | ||||
\(589\) | 195.535 | 0.331978 | ||||||||
\(590\) | −1501.02 | − | 866.613i | −2.54410 | − | 1.46883i | ||||
\(591\) | 432.135 | + | 364.968i | 0.731193 | + | 0.617542i | ||||
\(592\) | 955.382 | + | 1654.77i | 1.61382 | + | 2.79522i | ||||
\(593\) | 966.846 | + | 558.209i | 1.63043 | + | 0.941330i | 0.983960 | + | 0.178392i | \(0.0570895\pi\) |
0.646472 | + | 0.762938i | \(0.276244\pi\) | |||||||
\(594\) | −150.466 | − | 88.8084i | −0.253309 | − | 0.149509i | ||||
\(595\) | 40.9236 | 0.0687792 | ||||||||
\(596\) | −210.801 | + | 121.706i | −0.353693 | + | 0.204205i | ||||
\(597\) | 529.188 | + | 95.0573i | 0.886412 | + | 0.159225i | ||||
\(598\) | 587.136 | 0.981832 | ||||||||
\(599\) | −346.719 | + | 200.178i | −0.578830 | + | 0.334188i | −0.760668 | − | 0.649141i | \(-0.775129\pi\) |
0.181838 | + | 0.983328i | \(0.441795\pi\) | |||||||
\(600\) | −691.679 | + | 249.247i | −1.15280 | + | 0.415411i | ||||
\(601\) | −163.982 | + | 284.025i | −0.272849 | + | 0.472588i | −0.969590 | − | 0.244735i | \(-0.921299\pi\) |
0.696741 | + | 0.717322i | \(0.254632\pi\) | |||||||
\(602\) | 45.8995i | 0.0762450i | ||||||||
\(603\) | 220.780 | − | 561.128i | 0.366137 | − | 0.930561i | ||||
\(604\) | 52.9784 | 0.0877125 | ||||||||
\(605\) | 636.646 | + | 367.568i | 1.05231 | + | 0.607550i | ||||
\(606\) | 609.566 | + | 1691.59i | 1.00588 | + | 2.79141i | ||||
\(607\) | 101.026 | + | 174.983i | 0.166435 | + | 0.288274i | 0.937164 | − | 0.348889i | \(-0.113441\pi\) |
−0.770729 | + | 0.637163i | \(0.780108\pi\) | |||||||
\(608\) | − | 754.499i | − | 1.24095i | ||||||
\(609\) | −5.57105 | + | 31.0142i | −0.00914786 | + | 0.0509265i | ||||
\(610\) | −986.809 | − | 1709.20i | −1.61772 | − | 2.80197i | ||||
\(611\) | − | 497.221i | − | 0.813782i | ||||||
\(612\) | −1019.76 | − | 1231.22i | −1.66627 | − | 2.01179i | ||||
\(613\) | −19.0228 | + | 32.9484i | −0.0310323 | + | 0.0537495i | −0.881124 | − | 0.472884i | \(-0.843213\pi\) |
0.850092 | + | 0.526634i | \(0.176546\pi\) | |||||||
\(614\) | 1690.25 | − | 975.864i | 2.75284 | − | 1.58936i | ||||
\(615\) | 566.890 | − | 671.219i | 0.921772 | − | 1.09141i | ||||
\(616\) | −5.18160 | + | 8.97479i | −0.00841168 | + | 0.0145695i | ||||
\(617\) | 139.810i | 0.226596i | 0.993561 | + | 0.113298i | \(0.0361414\pi\) | ||||
−0.993561 | + | 0.113298i | \(0.963859\pi\) | |||||||
\(618\) | 286.815 | − | 103.354i | 0.464101 | − | 0.167239i | ||||
\(619\) | 462.300 | − | 800.728i | 0.746850 | − | 1.29358i | −0.202475 | − | 0.979287i | \(-0.564899\pi\) |
0.949325 | − | 0.314295i | \(-0.101768\pi\) | |||||||
\(620\) | 351.216 | + | 202.775i | 0.566478 | + | 0.327056i | ||||
\(621\) | 277.900 | + | 492.191i | 0.447505 | + | 0.792577i | ||||
\(622\) | 786.104 | − | 1361.57i | 1.26383 | − | 2.18902i | ||||
\(623\) | −14.9432 | + | 8.62747i | −0.0239859 | + | 0.0138483i | ||||
\(624\) | −414.384 | + | 490.646i | −0.664077 | + | 0.786292i | ||||
\(625\) | −779.067 | −1.24651 | ||||||||
\(626\) | 611.422 | + | 353.005i | 0.976713 | + | 0.563905i | ||||
\(627\) | −136.075 | + | 49.0347i | −0.217026 | + | 0.0782053i | ||||
\(628\) | 1623.17 | 2.58466 | ||||||||
\(629\) | 1207.54 | − | 697.173i | 1.91978 | − | 1.10838i | ||||
\(630\) | 50.9262 | − | 42.1797i | 0.0808353 | − | 0.0669519i | ||||
\(631\) | −257.740 | + | 446.419i | −0.408463 | + | 0.707479i | −0.994718 | − | 0.102648i | \(-0.967268\pi\) |
0.586255 | + | 0.810127i | \(0.300602\pi\) | |||||||
\(632\) | 2129.34 | − | 1229.37i | 3.36921 | − | 1.94521i | ||||
\(633\) | 8.20631 | + | 1.47409i | 0.0129642 | + | 0.00232873i | ||||
\(634\) | 503.272 | + | 871.692i | 0.793804 | + | 1.37491i | ||||
\(635\) | 417.310 | − | 240.934i | 0.657181 | − | 0.379424i | ||||
\(636\) | 1069.42 | + | 903.199i | 1.68148 | + | 1.42012i | ||||
\(637\) | −191.010 | − | 330.839i | −0.299859 | − | 0.519371i | ||||
\(638\) | 179.539 | − | 103.657i | 0.281409 | − | 0.162472i | ||||
\(639\) | −8.62693 | + | 23.2384i | −0.0135007 | + | 0.0363669i | ||||
\(640\) | −445.547 | + | 771.710i | −0.696167 | + | 1.20580i | ||||
\(641\) | −151.797 | + | 87.6402i | −0.236813 | + | 0.136724i | −0.613711 | − | 0.789531i | \(-0.710324\pi\) |
0.376898 | + | 0.926255i | \(0.376991\pi\) | |||||||
\(642\) | −1162.40 | − | 208.800i | −1.81059 | − | 0.325234i | ||||
\(643\) | 887.550 | 1.38033 | 0.690164 | − | 0.723653i | \(-0.257539\pi\) | ||||
0.690164 | + | 0.723653i | \(0.257539\pi\) | |||||||
\(644\) | 52.8096 | − | 30.4896i | 0.0820025 | − | 0.0473442i | ||||
\(645\) | −687.233 | + | 247.645i | −1.06548 | + | 0.383945i | ||||
\(646\) | −1919.31 | −2.97107 | ||||||||
\(647\) | 666.232 | + | 384.649i | 1.02973 | + | 0.594512i | 0.916906 | − | 0.399103i | \(-0.130678\pi\) |
0.112819 | + | 0.993616i | \(0.464012\pi\) | |||||||
\(648\) | −1395.36 | − | 264.500i | −2.15333 | − | 0.408179i | ||||
\(649\) | −69.7147 | − | 120.749i | −0.107419 | − | 0.186054i | ||||
\(650\) | 339.499 | − | 196.010i | 0.522306 | − | 0.301554i | ||||
\(651\) | −7.07798 | − | 1.27141i | −0.0108725 | − | 0.00195301i | ||||
\(652\) | 605.537 | − | 1048.82i | 0.928738 | − | 1.60862i | ||||
\(653\) | −360.543 | − | 208.159i | −0.552133 | − | 0.318774i | 0.197849 | − | 0.980233i | \(-0.436604\pi\) |
−0.749982 | + | 0.661458i | \(0.769938\pi\) | |||||||
\(654\) | 1.35175 | − | 7.52523i | 0.00206689 | − | 0.0115065i | ||||
\(655\) | 141.116 | 0.215444 | ||||||||
\(656\) | 1285.20i | 1.95915i | ||||||||
\(657\) | 87.0343 | + | 512.766i | 0.132472 | + | 0.780466i | ||||
\(658\) | −37.4452 | − | 64.8570i | −0.0569076 | − | 0.0985669i | ||||
\(659\) | −573.877 | + | 331.328i | −0.870831 | + | 0.502774i | −0.867624 | − | 0.497221i | \(-0.834354\pi\) |
−0.00320640 | + | 0.999995i | \(0.501021\pi\) | |||||||
\(660\) | −295.265 | − | 53.0381i | −0.447372 | − | 0.0803608i | ||||
\(661\) | −274.970 | −0.415991 | −0.207995 | − | 0.978130i | \(-0.566694\pi\) | ||||
−0.207995 | + | 0.978130i | \(0.566694\pi\) | |||||||
\(662\) | − | 24.6849i | − | 0.0372884i | ||||||
\(663\) | 358.040 | + | 302.389i | 0.540031 | + | 0.456092i | ||||
\(664\) | −693.542 | + | 1201.25i | −1.04449 | + | 1.80911i | ||||
\(665\) | − | 54.7418i | − | 0.0823184i | ||||||
\(666\) | 784.116 | − | 2112.18i | 1.17735 | − | 3.17144i | ||||
\(667\) | −670.670 | −1.00550 | ||||||||
\(668\) | −1294.90 | − | 747.614i | −1.93848 | − | 1.11918i | ||||
\(669\) | −125.361 | − | 347.886i | −0.187385 | − | 0.520008i | ||||
\(670\) | 29.1082 | − | 1501.19i | 0.0434451 | − | 2.24058i | ||||
\(671\) | − | 158.768i | − | 0.236614i | ||||||
\(672\) | −4.90589 | + | 27.3113i | −0.00730044 | + | 0.0406418i | ||||
\(673\) | 187.571 | 0.278709 | 0.139355 | − | 0.990243i | \(-0.455497\pi\) | ||||
0.139355 | + | 0.990243i | \(0.455497\pi\) | |||||||
\(674\) | −476.072 | + | 274.860i | −0.706339 | + | 0.407805i | ||||
\(675\) | 325.003 | + | 191.825i | 0.481487 | + | 0.284185i | ||||
\(676\) | −479.545 | + | 830.597i | −0.709387 | + | 1.22869i | ||||
\(677\) | 199.802 | − | 115.356i | 0.295129 | − | 0.170393i | −0.345124 | − | 0.938557i | \(-0.612163\pi\) |
0.640252 | + | 0.768165i | \(0.278830\pi\) | |||||||
\(678\) | −154.032 | − | 427.452i | −0.227186 | − | 0.630460i | ||||
\(679\) | −15.1242 | −0.0222742 | ||||||||
\(680\) | −1895.34 | − | 1094.27i | −2.78726 | − | 1.60922i | ||||
\(681\) | −874.890 | − | 738.904i | −1.28471 | − | 1.08503i | ||||
\(682\) | 23.6563 | + | 40.9738i | 0.0346866 | + | 0.0600789i | ||||
\(683\) | −617.809 | − | 356.692i | −0.904553 | − | 0.522244i | −0.0258782 | − | 0.999665i | \(-0.508238\pi\) |
−0.878674 | + | 0.477421i | \(0.841572\pi\) | |||||||
\(684\) | −1646.95 | + | 1364.08i | −2.40782 | + | 1.99428i | ||||
\(685\) | 747.652 | 1.09146 | ||||||||
\(686\) | −99.7703 | − | 57.6024i | −0.145438 | − | 0.0839685i | ||||
\(687\) | −158.954 | − | 28.5528i | −0.231375 | − | 0.0415615i | ||||
\(688\) | 534.288 | − | 925.415i | 0.776582 | − | 1.34508i | ||||
\(689\) | −355.369 | − | 205.172i | −0.515775 | − | 0.297783i | ||||
\(690\) | 1075.24 | + | 908.114i | 1.55832 | + | 1.31611i | ||||
\(691\) | −43.4158 | − | 75.1983i | −0.0628303 | − | 0.108825i | 0.832899 | − | 0.553425i | \(-0.186679\pi\) |
−0.895730 | + | 0.444599i | \(0.853346\pi\) | |||||||
\(692\) | 869.628i | 1.25669i | ||||||||
\(693\) | 5.24447 | − | 0.890170i | 0.00756778 | − | 0.00128452i | ||||
\(694\) | −217.600 | −0.313544 | ||||||||
\(695\) | 1568.97i | 2.25751i | ||||||||
\(696\) | 1087.32 | − | 1287.43i | 1.56224 | − | 1.84975i | ||||
\(697\) | 937.852 | 1.34556 | ||||||||
\(698\) | −792.975 | − | 457.824i | −1.13607 | − | 0.655908i | ||||
\(699\) | −674.477 | − | 569.642i | −0.964917 | − | 0.814938i | ||||
\(700\) | 20.3574 | − | 35.2600i | 0.0290820 | − | 0.0503715i | ||||
\(701\) | −533.497 | + | 308.015i | −0.761052 | + | 0.439394i | −0.829673 | − | 0.558249i | \(-0.811473\pi\) |
0.0686213 | + | 0.997643i | \(0.478140\pi\) | |||||||
\(702\) | 757.223 | + | 7.27020i | 1.07867 | + | 0.0103564i | ||||
\(703\) | −932.578 | − | 1615.27i | −1.32657 | − | 2.29768i | ||||
\(704\) | −12.9975 | + | 7.50411i | −0.0184624 | + | 0.0106592i | ||||
\(705\) | 769.045 | − | 910.578i | 1.09084 | − | 1.29160i | ||||
\(706\) | 711.356 | + | 1232.11i | 1.00759 | + | 1.74519i | ||||
\(707\) | −47.4095 | − | 27.3719i | −0.0670573 | − | 0.0387156i | ||||
\(708\) | −1574.91 | − | 1330.12i | −2.22445 | − | 1.87870i | ||||
\(709\) | 652.791 | − | 1130.67i | 0.920720 | − | 1.59473i | 0.122417 | − | 0.992479i | \(-0.460935\pi\) |
0.798303 | − | 0.602256i | \(-0.205731\pi\) | |||||||
\(710\) | 61.7224i | 0.0869329i | ||||||||
\(711\) | −1183.19 | − | 439.242i | −1.66412 | − | 0.617781i | ||||
\(712\) | 922.773 | 1.29603 | ||||||||
\(713\) | − | 153.058i | − | 0.214668i | ||||||
\(714\) | 69.4750 | + | 12.4797i | 0.0973040 | + | 0.0174786i | ||||
\(715\) | 87.9413 | 0.122995 | ||||||||
\(716\) | 1184.07 | − | 683.624i | 1.65373 | − | 0.954782i | ||||
\(717\) | 974.065 | + | 822.664i | 1.35853 | + | 1.14737i | ||||
\(718\) | 1028.42 | − | 1781.28i | 1.43234 | − | 2.48089i | ||||
\(719\) | −320.335 | − | 184.945i | −0.445528 | − | 0.257226i | 0.260411 | − | 0.965498i | \(-0.416142\pi\) |
−0.705940 | + | 0.708272i | \(0.749475\pi\) | |||||||
\(720\) | −1517.75 | + | 257.615i | −2.10799 | + | 0.357799i | ||||
\(721\) | −4.64099 | + | 8.03843i | −0.00643688 | + | 0.0111490i | ||||
\(722\) | 1271.56i | 1.76116i | ||||||||
\(723\) | 9.82424 | + | 27.2630i | 0.0135882 | + | 0.0377082i | ||||
\(724\) | −33.1643 | + | 57.4422i | −0.0458070 | + | 0.0793401i | ||||
\(725\) | −387.801 | + | 223.897i | −0.534898 | + | 0.308823i | ||||
\(726\) | 968.728 | + | 818.157i | 1.33434 | + | 1.12694i | ||||
\(727\) | 292.373 | − | 506.405i | 0.402164 | − | 0.696568i | −0.591823 | − | 0.806068i | \(-0.701592\pi\) |
0.993987 | + | 0.109500i | \(0.0349249\pi\) | |||||||
\(728\) | − | 44.9155i | − | 0.0616971i | ||||||
\(729\) | 352.311 | + | 638.215i | 0.483280 | + | 0.875466i | ||||
\(730\) | 647.526 | + | 1121.55i | 0.887022 | + | 1.53637i | ||||
\(731\) | −675.305 | − | 389.887i | −0.923809 | − | 0.533362i | ||||
\(732\) | −795.783 | − | 2208.36i | −1.08714 | − | 3.01689i | ||||
\(733\) | 523.912 | + | 907.443i | 0.714751 | + | 1.23798i | 0.963056 | + | 0.269303i | \(0.0867932\pi\) |
−0.248305 | + | 0.968682i | \(0.579874\pi\) | |||||||
\(734\) | 808.225i | 1.10112i | ||||||||
\(735\) | 161.901 | − | 901.310i | 0.220274 | − | 1.22627i | ||||
\(736\) | −590.596 | −0.802440 | ||||||||
\(737\) | 62.4095 | − | 103.413i | 0.0846805 | − | 0.140316i | ||||
\(738\) | 1167.08 | − | 966.637i | 1.58141 | − | 1.30981i | ||||
\(739\) | 354.949 | − | 614.790i | 0.480310 | − | 0.831921i | −0.519435 | − | 0.854510i | \(-0.673858\pi\) |
0.999745 | + | 0.0225888i | \(0.00719085\pi\) | |||||||
\(740\) | − | 3868.42i | − | 5.22760i | ||||||
\(741\) | 404.493 | − | 478.935i | 0.545874 | − | 0.646336i | ||||
\(742\) | −61.8053 | −0.0832956 | ||||||||
\(743\) | −863.539 | − | 498.564i | −1.16223 | − | 0.671015i | −0.210394 | − | 0.977617i | \(-0.567475\pi\) |
−0.951838 | + | 0.306601i | \(0.900808\pi\) | |||||||
\(744\) | 293.813 | + | 248.145i | 0.394909 | + | 0.333528i | ||||
\(745\) | 171.045 | 0.229591 | ||||||||
\(746\) | − | 45.4604i | − | 0.0609388i | ||||||
\(747\) | 701.958 | − | 119.147i | 0.939703 | − | 0.159500i | ||||
\(748\) | −160.115 | − | 277.328i | −0.214058 | − | 0.370759i | ||||
\(749\) | 31.1394 | − | 17.9784i | 0.0415747 | − | 0.0240031i | ||||
\(750\) | −729.374 | − | 131.016i | −0.972499 | − | 0.174689i | ||||
\(751\) | 51.1587 | 0.0681207 | 0.0340604 | − | 0.999420i | \(-0.489156\pi\) | ||||
0.0340604 | + | 0.999420i | \(0.489156\pi\) | |||||||
\(752\) | 1743.51i | 2.31850i | ||||||||
\(753\) | −75.4644 | + | 420.113i | −0.100218 | + | 0.557919i | ||||
\(754\) | −449.263 | + | 778.146i | −0.595840 | + | 1.03202i | ||||
\(755\) | −32.2401 | − | 18.6139i | −0.0427022 | − | 0.0246541i | ||||
\(756\) | 68.4856 | − | 38.6683i | 0.0905894 | − | 0.0511485i | ||||
\(757\) | −537.695 | − | 931.314i | −0.710297 | − | 1.23027i | −0.964746 | − | 0.263184i | \(-0.915227\pi\) |
0.254449 | − | 0.967086i | \(-0.418106\pi\) | |||||||
\(758\) | 314.632 | − | 181.653i | 0.415082 | − | 0.239648i | ||||
\(759\) | 38.3827 | + | 106.515i | 0.0505700 | + | 0.140336i | ||||
\(760\) | −1463.76 | + | 2535.31i | −1.92600 | + | 3.33593i | ||||
\(761\) | 178.624i | 0.234722i | 0.993089 | + | 0.117361i | \(0.0374435\pi\) | ||||
−0.993089 | + | 0.117361i | \(0.962556\pi\) | |||||||
\(762\) | 781.929 | − | 281.768i | 1.02615 | − | 0.369775i | ||||
\(763\) | 0.116390 | + | 0.201593i | 0.000152542 | + | 0.000264211i | ||||
\(764\) | 2667.00i | 3.49084i | ||||||||
\(765\) | 187.990 | + | 1107.55i | 0.245739 | + | 1.44778i | ||||
\(766\) | −509.447 | − | 882.388i | −0.665075 | − | 1.15194i | ||||
\(767\) | 523.344 | + | 302.153i | 0.682326 | + | 0.393941i | ||||
\(768\) | −927.268 | + | 1097.92i | −1.20738 | + | 1.42958i | ||||
\(769\) | −579.131 | − | 1003.08i | −0.753096 | − | 1.30440i | −0.946315 | − | 0.323245i | \(-0.895226\pi\) |
0.193220 | − | 0.981156i | \(-0.438107\pi\) | |||||||
\(770\) | 11.4710 | − | 6.62277i | 0.0148974 | − | 0.00860100i | ||||
\(771\) | 61.4681 | + | 51.9140i | 0.0797251 | + | 0.0673333i | ||||
\(772\) | 862.206 | + | 1493.38i | 1.11685 | + | 1.93444i | ||||
\(773\) | −340.404 | + | 196.532i | −0.440367 | + | 0.254246i | −0.703753 | − | 0.710444i | \(-0.748494\pi\) |
0.263386 | + | 0.964690i | \(0.415161\pi\) | |||||||
\(774\) | −1242.22 | + | 210.847i | −1.60493 | + | 0.272413i | ||||
\(775\) | −51.0971 | − | 88.5028i | −0.0659317 | − | 0.114197i | ||||
\(776\) | 700.461 | + | 404.411i | 0.902655 | + | 0.521148i | ||||
\(777\) | 23.2546 | + | 64.5333i | 0.0299287 | + | 0.0830545i | ||||
\(778\) | −704.246 | − | 1219.79i | −0.905200 | − | 1.56785i | ||||
\(779\) | − | 1254.52i | − | 1.61043i | ||||||
\(780\) | 1223.21 | − | 440.783i | 1.56822 | − | 0.565107i | ||||
\(781\) | −2.48263 | + | 4.30004i | −0.00317878 | + | 0.00550581i | ||||
\(782\) | 1502.37i | 1.92119i | ||||||||
\(783\) | −864.957 | − | 8.30456i | −1.10467 | − | 0.0106061i | ||||
\(784\) | 669.779 | + | 1160.09i | 0.854309 | + | 1.47971i | ||||
\(785\) | −987.783 | − | 570.297i | −1.25832 | − | 0.726493i | ||||
\(786\) | 239.569 | + | 43.0334i | 0.304795 | + | 0.0547499i | ||||
\(787\) | −393.633 | + | 681.792i | −0.500169 | + | 0.866318i | 0.499831 | + | 0.866123i | \(0.333395\pi\) |
−1.00000 | 0.000194969i | \(0.999938\pi\) | ||||||||
\(788\) | 1450.72 | + | 837.574i | 1.84102 | + | 1.06291i | ||||
\(789\) | 842.968 | − | 303.764i | 1.06840 | − | 0.384999i | ||||
\(790\) | −3142.61 | −3.97798 | ||||||||
\(791\) | 11.9800 | + | 6.91666i | 0.0151454 | + | 0.00874419i | ||||
\(792\) | −266.695 | − | 99.0067i | −0.336736 | − | 0.125008i | ||||
\(793\) | 344.061 | + | 595.931i | 0.433872 | + | 0.751489i | ||||
\(794\) | −2218.33 | − | 1280.75i | −2.79387 | − | 1.61304i | ||||
\(795\) | −333.462 | − | 925.383i | −0.419449 | − | 1.16400i | ||||
\(796\) | 1592.29 | 2.00037 | ||||||||
\(797\) | −227.216 | + | 131.183i | −0.285089 | + | 0.164596i | −0.635725 | − | 0.771916i | \(-0.719299\pi\) |
0.350636 | + | 0.936512i | \(0.385965\pi\) | |||||||
\(798\) | 16.6936 | − | 92.9337i | 0.0209192 | − | 0.116458i | ||||
\(799\) | 1272.29 | 1.59236 | ||||||||
\(800\) | −341.500 | + | 197.165i | −0.426875 | + | 0.246456i | ||||
\(801\) | −302.137 | − | 364.789i | −0.377199 | − | 0.455417i | ||||
\(802\) | −173.538 | + | 300.576i | −0.216381 | + | 0.374783i | ||||
\(803\) | 104.180i | 0.129739i | ||||||||
\(804\) | 349.745 | − | 1751.23i | 0.435006 | − | 2.17814i | ||||
\(805\) | −42.8499 | −0.0532297 | ||||||||
\(806\) | −177.586 | − | 102.529i | −0.220330 | − | 0.127208i | ||||
\(807\) | 7.47758 | − | 2.69455i | 0.00926590 | − | 0.00333897i | ||||
\(808\) | 1463.82 | + | 2535.40i | 1.81165 | + | 3.13788i | ||||
\(809\) | 745.431i | 0.921423i | 0.887550 | + | 0.460711i | \(0.152406\pi\) | ||||
−0.887550 | + | 0.460711i | \(0.847594\pi\) | |||||||
\(810\) | 1375.48 | + | 1184.50i | 1.69813 | + | 1.46235i | ||||
\(811\) | 238.337 | + | 412.811i | 0.293880 | + | 0.509015i | 0.974724 | − | 0.223414i | \(-0.0717200\pi\) |
−0.680844 | + | 0.732429i | \(0.738387\pi\) | |||||||
\(812\) | 93.3200i | 0.114926i | ||||||||
\(813\) | 249.267 | + | 691.736i | 0.306602 | + | 0.850844i | ||||
\(814\) | 225.650 | − | 390.838i | 0.277212 | − | 0.480145i | ||||
\(815\) | −737.003 | + | 425.509i | −0.904298 | + | 0.522097i | ||||
\(816\) | −1255.47 | − | 1060.33i | −1.53857 | − | 1.29942i | ||||
\(817\) | −521.535 | + | 903.325i | −0.638354 | + | 1.10566i | ||||
\(818\) | 1497.13i | 1.83023i | ||||||||
\(819\) | −17.7559 | + | 14.7064i | −0.0216800 | + | 0.0179565i | ||||
\(820\) | 1300.97 | − | 2253.35i | 1.58655 | − | 2.74799i | ||||
\(821\) | −37.5104 | − | 21.6566i | −0.0456887 | − | 0.0263784i | 0.476982 | − | 0.878913i | \(-0.341731\pi\) |
−0.522670 | + | 0.852535i | \(0.675064\pi\) | |||||||
\(822\) | 1269.27 | + | 227.997i | 1.54412 | + | 0.277369i | ||||
\(823\) | −527.142 | + | 913.037i | −0.640513 | + | 1.10940i | 0.344805 | + | 0.938674i | \(0.387945\pi\) |
−0.985318 | + | 0.170727i | \(0.945388\pi\) | |||||||
\(824\) | 429.885 | − | 248.194i | 0.521705 | − | 0.301207i | ||||
\(825\) | 57.7530 | + | 48.7763i | 0.0700036 | + | 0.0591228i | ||||
\(826\) | 91.0193 | 0.110193 | ||||||||
\(827\) | 87.2550 | + | 50.3767i | 0.105508 | + | 0.0609150i | 0.551825 | − | 0.833960i | \(-0.313931\pi\) |
−0.446318 | + | 0.894875i | \(0.647265\pi\) | |||||||
\(828\) | 1067.76 | + | 1289.17i | 1.28956 | + | 1.55697i | ||||
\(829\) | −496.172 | −0.598519 | −0.299260 | − | 0.954172i | \(-0.596740\pi\) | ||||
−0.299260 | + | 0.954172i | \(0.596740\pi\) | |||||||
\(830\) | 1535.36 | − | 886.439i | 1.84983 | − | 1.06800i | ||||
\(831\) | −225.926 | − | 626.963i | −0.271873 | − | 0.754468i | ||||
\(832\) | 32.5238 | − | 56.3329i | 0.0390911 | − | 0.0677079i | ||||
\(833\) | 846.555 | − | 488.759i | 1.01627 | − | 0.586745i | ||||
\(834\) | −478.458 | + | 2663.60i | −0.573691 | + | 3.19376i | ||||
\(835\) | 525.345 | + | 909.925i | 0.629156 | + | 1.08973i | ||||
\(836\) | −370.969 | + | 214.179i | −0.443743 | + | 0.256195i | ||||
\(837\) | 1.89524 | − | 197.398i | 0.00226433 | − | 0.235840i | ||||
\(838\) | −26.9850 | − | 46.7393i | −0.0322016 | − | 0.0557749i | ||||
\(839\) | 861.500 | − | 497.387i | 1.02682 | − | 0.592833i | 0.110746 | − | 0.993849i | \(-0.464676\pi\) |
0.916071 | + | 0.401015i | \(0.131343\pi\) | |||||||
\(840\) | 69.4702 | − | 82.2553i | 0.0827026 | − | 0.0979230i | ||||
\(841\) | 92.6816 | − | 160.529i | 0.110204 | − | 0.190879i | ||||
\(842\) | −1078.58 | + | 622.716i | −1.28097 | + | 0.739568i | ||||
\(843\) | 87.0301 | − | 484.500i | 0.103239 | − | 0.574733i | ||||
\(844\) | 24.6923 | 0.0292563 | ||||||||
\(845\) | 583.658 | − | 336.975i | 0.690719 | − | 0.398787i | ||||
\(846\) | 1583.27 | − | 1311.34i | 1.87148 | − | 1.55005i | ||||
\(847\) | −38.6052 | −0.0455788 | ||||||||
\(848\) | 1246.10 | + | 719.438i | 1.46946 | + | 0.848394i | ||||
\(849\) | 420.395 | + | 1166.63i | 0.495165 | + | 1.37412i | ||||
\(850\) | 501.552 | + | 868.713i | 0.590061 | + | 1.02202i | ||||
\(851\) | −1264.38 | + | 729.989i | −1.48576 | + | 0.857802i | ||||
\(852\) | −12.9790 | + | 72.2544i | −0.0152335 | + | 0.0848056i | ||||
\(853\) | −741.602 | + | 1284.49i | −0.869404 | + | 1.50585i | −0.00679711 | + | 0.999977i | \(0.502164\pi\) |
−0.862607 | + | 0.505875i | \(0.831170\pi\) | |||||||
\(854\) | 89.7579 | + | 51.8217i | 0.105103 | + | 0.0606812i | ||||
\(855\) | 1481.52 | − | 251.466i | 1.73278 | − | 0.294112i | ||||
\(856\) | −1922.92 | −2.24640 | ||||||||
\(857\) | 373.684i | 0.436038i | 0.975945 | + | 0.218019i | \(0.0699594\pi\) | ||||
−0.975945 | + | 0.218019i | \(0.930041\pi\) | |||||||
\(858\) | 149.296 | + | 26.8178i | 0.174004 | + | 0.0312561i | ||||
\(859\) | −26.7737 | − | 46.3735i | −0.0311685 | − | 0.0539854i | 0.850020 | − | 0.526750i | \(-0.176590\pi\) |
−0.881189 | + | 0.472764i | \(0.843256\pi\) | |||||||
\(860\) | −1873.54 | + | 1081.69i | −2.17854 | + | 1.25778i | ||||
\(861\) | −8.15715 | + | 45.4112i | −0.00947404 | + | 0.0527424i | ||||
\(862\) | 1279.61 | 1.48446 | ||||||||
\(863\) | 435.807i | 0.504991i | 0.967598 | + | 0.252496i | \(0.0812513\pi\) | ||||
−0.967598 | + | 0.252496i | \(0.918749\pi\) | |||||||
\(864\) | −761.686 | − | 7.31305i | −0.881580 | − | 0.00846417i | ||||
\(865\) | 305.542 | − | 529.215i | 0.353228 | − | 0.611809i | ||||
\(866\) | 2416.56i | 2.79048i | ||||||||
\(867\) | −214.337 | + | 253.783i | −0.247217 | + | 0.292714i | ||||
\(868\) | −21.2972 | −0.0245360 | ||||||||
\(869\) | −218.937 | − | 126.404i | −0.251942 | − | 0.145459i | ||||
\(870\) | −2026.30 | + | 730.177i | −2.32908 | + | 0.839284i | ||||
\(871\) | −10.1489 | + | 523.405i | −0.0116520 | + | 0.600924i | ||||
\(872\) | − | 12.4487i | − | 0.0142761i | ||||||
\(873\) | −69.4756 | − | 409.318i | −0.0795826 | − | 0.468864i | ||||
\(874\) | 2009.65 | 2.29937 | ||||||||
\(875\) | 19.5391 | − | 11.2809i | 0.0223304 | − | 0.0128925i | ||||
\(876\) | 522.178 | + | 1449.09i | 0.596094 | + | 1.65421i | ||||
\(877\) | 521.779 | − | 903.748i | 0.594959 | − | 1.03050i | −0.398593 | − | 0.917128i | \(-0.630501\pi\) |
0.993553 | − | 0.113372i | \(-0.0361652\pi\) | |||||||
\(878\) | 1220.49 | − | 704.650i | 1.39008 | − | 0.802563i | ||||
\(879\) | −1326.54 | + | 478.018i | −1.50914 | + | 0.543820i | ||||
\(880\) | −308.367 | −0.350417 | ||||||||
\(881\) | 1139.59 | + | 657.941i | 1.29352 | + | 0.746812i | 0.979276 | − | 0.202532i | \(-0.0649169\pi\) |
0.314240 | + | 0.949343i | \(0.398250\pi\) | |||||||
\(882\) | 549.711 | − | 1480.76i | 0.623255 | − | 1.67887i | ||||
\(883\) | 408.052 | + | 706.767i | 0.462120 | + | 0.800415i | 0.999066 | − | 0.0432012i | \(-0.0137556\pi\) |
−0.536947 | + | 0.843616i | \(0.680422\pi\) | |||||||
\(884\) | 1201.98 | + | 693.962i | 1.35970 | + | 0.785025i | ||||
\(885\) | 491.082 | + | 1362.79i | 0.554895 | + | 1.53988i | ||||
\(886\) | −1661.99 | −1.87584 | ||||||||
\(887\) | −647.598 | − | 373.891i | −0.730099 | − | 0.421523i | 0.0883591 | − | 0.996089i | \(-0.471838\pi\) |
−0.818459 | + | 0.574566i | \(0.805171\pi\) | |||||||
\(888\) | 648.569 | − | 3610.61i | 0.730370 | − | 4.06600i | ||||
\(889\) | −12.6525 | + | 21.9148i | −0.0142323 | + | 0.0246511i | ||||
\(890\) | −1021.41 | − | 589.713i | −1.14765 | − | 0.662598i | ||||
\(891\) | 48.1828 | + | 137.847i | 0.0540773 | + | 0.154710i | ||||
\(892\) | −547.564 | − | 948.409i | −0.613861 | − | 1.06324i | ||||
\(893\) | − | 1701.89i | − | 1.90581i | ||||||
\(894\) | 290.379 | + | 52.1604i | 0.324809 | + | 0.0583449i | ||||
\(895\) | −960.760 | −1.07348 | ||||||||
\(896\) | − | 46.7953i | − | 0.0522269i | ||||||
\(897\) | −374.893 | − | 316.623i | −0.417941 | − | 0.352980i | ||||
\(898\) | −1885.23 | −2.09937 | ||||||||
\(899\) | 202.852 | + | 117.117i | 0.225642 | + | 0.130274i | ||||
\(900\) | 1047.79 | + | 388.976i | 1.16421 | + | 0.432196i | ||||
\(901\) | 524.997 | − | 909.322i | 0.582683 | − | 1.00924i | ||||
\(902\) | 262.882 | − | 151.775i | 0.291443 | − | 0.168265i | ||||
\(903\) | 24.7521 | − | 29.3074i | 0.0274110 | − | 0.0324556i | ||||
\(904\) | −369.894 | − | 640.675i | −0.409175 | − | 0.708712i | ||||
\(905\) | 40.3644 | − | 23.3044i | 0.0446016 | − | 0.0257507i | ||||
\(906\) | −49.0570 | − | 41.4319i | −0.0541468 | − | 0.0457306i | ||||
\(907\) | 796.012 | + | 1378.73i | 0.877632 | + | 1.52010i | 0.853932 | + | 0.520384i | \(0.174211\pi\) |
0.0236995 | + | 0.999719i | \(0.492456\pi\) | |||||||
\(908\) | −2937.09 | − | 1695.73i | −3.23468 | − | 1.86755i | ||||
\(909\) | 523.005 | − | 1408.82i | 0.575363 | − | 1.54986i | ||||
\(910\) | −28.7040 | + | 49.7168i | −0.0315428 | + | 0.0546338i | ||||
\(911\) | 191.983i | 0.210739i | 0.994433 | + | 0.105369i | \(0.0336025\pi\) | ||||
−0.994433 | + | 0.105369i | \(0.966398\pi\) | |||||||
\(912\) | −1418.36 | + | 1679.39i | −1.55522 | + | 1.84143i | ||||
\(913\) | 142.619 | 0.156209 | ||||||||
\(914\) | − | 31.8870i | − | 0.0348873i | ||||||
\(915\) | −291.627 | + | 1623.50i | −0.318718 | + | 1.77432i | ||||
\(916\) | −478.284 | −0.522145 | ||||||||
\(917\) | −6.41779 | + | 3.70531i | −0.00699868 | + | 0.00404069i | ||||
\(918\) | −18.6031 | + | 1937.59i | −0.0202648 | + | 2.11066i | ||||
\(919\) | −523.951 | + | 907.510i | −0.570132 | + | 0.987497i | 0.426420 | + | 0.904525i | \(0.359774\pi\) |
−0.996552 | + | 0.0829719i | \(0.973559\pi\) | |||||||
\(920\) | 1984.55 | + | 1145.78i | 2.15712 | + | 1.24541i | ||||
\(921\) | −1605.50 | − | 288.393i | −1.74321 | − | 0.313130i | ||||
\(922\) | −1350.72 | + | 2339.52i | −1.46499 | + | 2.53744i | ||||
\(923\) | − | 21.5201i | − | 0.0233154i | ||||||
\(924\) | 14.8210 | − | 5.34074i | 0.0160400 | − | 0.00578002i | ||||
\(925\) | −487.400 | + | 844.202i | −0.526919 | + | 0.912651i | ||||
\(926\) | 2272.10 | − | 1311.80i | 2.45368 | − | 1.41663i | ||||
\(927\) | −238.870 | − | 88.6771i | −0.257681 | − | 0.0956603i | ||||
\(928\) | 451.911 | − | 782.732i | 0.486973 | − | 0.843461i | ||||
\(929\) | 481.067i | 0.517833i | 0.965900 | + | 0.258917i | \(0.0833655\pi\) | ||||
−0.965900 | + | 0.258917i | \(0.916635\pi\) | |||||||
\(930\) | −166.639 | − | 462.436i | −0.179182 | − | 0.497243i | ||||
\(931\) | −653.791 | − | 1132.40i | −0.702246 | − | 1.21633i | ||||
\(932\) | −2264.29 | − | 1307.29i | −2.42949 | − | 1.40267i | ||||
\(933\) | −1236.19 | + | 445.460i | −1.32496 | + | 0.477450i | ||||
\(934\) | 135.452 | + | 234.609i | 0.145023 | + | 0.251188i | ||||
\(935\) | 225.025i | 0.240668i | ||||||||
\(936\) | 1215.59 | − | 206.327i | 1.29870 | − | 0.220435i | ||||
\(937\) | 662.767 | 0.707329 | 0.353664 | − | 0.935372i | \(-0.384935\pi\) | ||||
0.353664 | + | 0.935372i | \(0.384935\pi\) | |||||||
\(938\) | 38.0933 | + | 69.0367i | 0.0406112 | + | 0.0735999i | ||||
\(939\) | −200.037 | − | 555.118i | −0.213032 | − | 0.591180i | ||||
\(940\) | 1764.90 | − | 3056.90i | 1.87756 | − | 3.25202i | ||||
\(941\) | 674.729i | 0.717034i | 0.933523 | + | 0.358517i | \(0.116718\pi\) | ||||
−0.933523 | + | 0.358517i | \(0.883282\pi\) | |||||||
\(942\) | −1503.02 | − | 1269.40i | −1.59557 | − | 1.34756i | ||||
\(943\) | −981.997 | −1.04135 | ||||||||
\(944\) | −1835.11 | − | 1059.50i | −1.94397 | − | 1.12235i | ||||
\(945\) | −55.2632 | − | 0.530589i | −0.0584795 | − | 0.000561470i | ||||
\(946\) | −252.385 | −0.266792 | ||||||||
\(947\) | − | 1086.38i | − | 1.14718i | −0.819142 | − | 0.573590i | \(-0.805550\pi\) | ||
0.819142 | − | 0.573590i | \(-0.194450\pi\) | |||||||
\(948\) | −3678.85 | − | 660.826i | −3.88064 | − | 0.697074i | ||||
\(949\) | −225.766 | − | 391.039i | −0.237899 | − | 0.412053i | ||||
\(950\) | 1162.04 | − | 670.904i | 1.22320 | − | 0.706214i | ||||
\(951\) | 148.730 | − | 827.984i | 0.156393 | − | 0.870646i | ||||
\(952\) | 114.930 | 0.120725 | ||||||||
\(953\) | 1432.08i | 1.50271i | 0.659899 | + | 0.751354i | \(0.270599\pi\) | ||||
−0.659899 | + | 0.751354i | \(0.729401\pi\) | |||||||
\(954\) | −283.914 | − | 1672.69i | −0.297603 | − | 1.75334i | ||||
\(955\) | 937.046 | − | 1623.01i | 0.981200 | − | 1.69949i | ||||
\(956\) | 3270.03 | + | 1887.95i | 3.42054 | + | 1.97485i | ||||
\(957\) | −170.537 | − | 30.6333i | −0.178199 | − | 0.0320097i | ||||
\(958\) | 53.0935 | + | 91.9606i | 0.0554211 | + | 0.0959922i | ||||
\(959\) | −34.0023 | + | 19.6313i | −0.0354560 | + | 0.0204706i | ||||
\(960\) | 146.691 | − | 52.8603i | 0.152803 | − | 0.0550628i | ||||
\(961\) | 453.772 | − | 785.956i | 0.472187 | − | 0.817852i | ||||
\(962\) | 1956.00i | 2.03326i | ||||||||
\(963\) | 629.608 | + | 760.166i | 0.653799 | + | 0.789373i | ||||
\(964\) | 42.9114 | + | 74.3247i | 0.0445139 | + | 0.0771003i | ||||
\(965\) | − | 1211.74i | − | 1.25569i | ||||||
\(966\) | −72.7453 | − | 13.0671i | −0.0753056 | − | 0.0135271i | ||||
\(967\) | 19.7589 | + | 34.2234i | 0.0204332 | + | 0.0353913i | 0.876061 | − | 0.482200i | \(-0.160162\pi\) |
−0.855628 | + | 0.517591i | \(0.826829\pi\) | |||||||
\(968\) | 1787.96 | + | 1032.28i | 1.84707 | + | 1.06641i | ||||
\(969\) | 1225.50 | + | 1035.02i | 1.26471 | + | 1.06813i | ||||
\(970\) | −516.891 | − | 895.281i | −0.532877 | − | 0.922970i | ||||
\(971\) | 442.524 | − | 255.491i | 0.455740 | − | 0.263122i | −0.254511 | − | 0.967070i | \(-0.581915\pi\) |
0.710251 | + | 0.703948i | \(0.248581\pi\) | |||||||
\(972\) | 1361.11 | + | 1675.85i | 1.40032 | + | 1.72413i | ||||
\(973\) | −41.1967 | − | 71.3548i | −0.0423399 | − | 0.0733349i | ||||
\(974\) | 1708.26 | − | 986.264i | 1.75386 | − | 1.01259i | ||||
\(975\) | −322.476 | − | 57.9259i | −0.330745 | − | 0.0594112i | ||||
\(976\) | −1206.45 | − | 2089.63i | −1.23612 | − | 2.14102i | ||||
\(977\) | −554.112 | − | 319.917i | −0.567156 | − | 0.327448i | 0.188856 | − | 0.982005i | \(-0.439522\pi\) |
−0.756013 | + | 0.654557i | \(0.772855\pi\) | |||||||
\(978\) | −1380.95 | + | 497.626i | −1.41202 | + | 0.508820i | ||||
\(979\) | −47.4394 | − | 82.1675i | −0.0484570 | − | 0.0839301i | ||||
\(980\) | − | 2711.99i | − | 2.76734i | ||||||
\(981\) | −4.92122 | + | 4.07600i | −0.00501653 | + | 0.00415495i | ||||
\(982\) | 802.030 | − | 1389.16i | 0.816731 | − | 1.41462i | ||||
\(983\) | − | 170.206i | − | 0.173149i | −0.996245 | − | 0.0865745i | \(-0.972408\pi\) | ||
0.996245 | − | 0.0865745i | \(-0.0275921\pi\) | |||||||
\(984\) | 1592.06 | − | 1885.06i | 1.61794 | − | 1.91571i | ||||
\(985\) | −588.561 | − | 1019.42i | −0.597523 | − | 1.03494i | ||||
\(986\) | −1991.13 | − | 1149.58i | −2.01940 | − | 1.16590i | ||||
\(987\) | −11.0660 | + | 61.6050i | −0.0112118 | + | 0.0624164i | ||||
\(988\) | 928.282 | − | 1607.83i | 0.939557 | − | 1.62736i | ||||
\(989\) | 707.092 | + | 408.240i | 0.714956 | + | 0.412780i | ||||
\(990\) | 231.932 | + | 280.026i | 0.234274 | + | 0.282854i | ||||
\(991\) | −453.646 | −0.457766 | −0.228883 | − | 0.973454i | \(-0.573507\pi\) | ||||
−0.228883 | + | 0.973454i | \(0.573507\pi\) | |||||||
\(992\) | 178.633 | + | 103.134i | 0.180073 | + | 0.103965i | ||||
\(993\) | −13.3118 | + | 15.7616i | −0.0134056 | + | 0.0158728i | ||||
\(994\) | −1.62066 | − | 2.80706i | −0.00163044 | − | 0.00282401i | ||||
\(995\) | −968.995 | − | 559.450i | −0.973865 | − | 0.562261i | ||||
\(996\) | 1983.74 | − | 714.842i | 1.99171 | − | 0.717713i | ||||
\(997\) | −163.788 | −0.164281 | −0.0821406 | − | 0.996621i | \(-0.526176\pi\) | ||||
−0.0821406 | + | 0.996621i | \(0.526176\pi\) | |||||||
\(998\) | −1170.96 | + | 676.052i | −1.17330 | + | 0.677407i | ||||
\(999\) | −1639.70 | + | 925.804i | −1.64134 | + | 0.926731i |
(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 | 201.3.g.b.29.3 | ✓ | 84 | |
3.2 | odd | 2 | inner | 201.3.g.b.29.40 | yes | 84 | |
67.37 | even | 3 | inner | 201.3.g.b.104.40 | yes | 84 | |
201.104 | odd | 6 | inner | 201.3.g.b.104.3 | yes | 84 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
201.3.g.b.29.3 | ✓ | 84 | 1.1 | even | 1 | trivial | |
201.3.g.b.29.40 | yes | 84 | 3.2 | odd | 2 | inner | |
201.3.g.b.104.3 | yes | 84 | 201.104 | odd | 6 | inner | |
201.3.g.b.104.40 | yes | 84 | 67.37 | even | 3 | inner |