Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,3,Mod(2,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([9]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.2");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.f (of order \(14\), degree \(6\), 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: | \(1.17166513675\) |
Analytic rank: | \(0\) |
Dimension: | \(42\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 27.3 | ||
Character | \(\chi\) | \(=\) | 43.27 |
Dual form | 43.3.f.a.8.3 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{1}{14}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.844666 | + | 0.192789i | −0.422333 | + | 0.0963947i | −0.428405 | − | 0.903587i | \(-0.640924\pi\) |
0.00607209 | + | 0.999982i | \(0.498067\pi\) | |||||||
\(3\) | 4.86248 | + | 1.10983i | 1.62083 | + | 0.369943i | 0.934111 | − | 0.356982i | \(-0.116194\pi\) |
0.686717 | + | 0.726925i | \(0.259051\pi\) | |||||||
\(4\) | −2.92758 | + | 1.40985i | −0.731896 | + | 0.352462i | ||||
\(5\) | 0.831553 | − | 0.663142i | 0.166311 | − | 0.132628i | −0.536798 | − | 0.843711i | \(-0.680366\pi\) |
0.703109 | + | 0.711083i | \(0.251795\pi\) | |||||||
\(6\) | −4.32114 | −0.720190 | ||||||||
\(7\) | 0.302383i | 0.0431975i | 0.999767 | + | 0.0215988i | \(0.00687564\pi\) | ||||
−0.999767 | + | 0.0215988i | \(0.993124\pi\) | |||||||
\(8\) | 4.91050 | − | 3.91600i | 0.613813 | − | 0.489499i | ||||
\(9\) | 14.3033 | + | 6.88811i | 1.58926 | + | 0.765346i | ||||
\(10\) | −0.574538 | + | 0.720448i | −0.0574538 | + | 0.0720448i | ||||
\(11\) | −4.95809 | − | 2.38769i | −0.450735 | − | 0.217063i | 0.194723 | − | 0.980858i | \(-0.437619\pi\) |
−0.645458 | + | 0.763796i | \(0.723333\pi\) | |||||||
\(12\) | −15.8000 | + | 3.60625i | −1.31667 | + | 0.300521i | ||||
\(13\) | −12.6441 | − | 15.8552i | −0.972623 | − | 1.21963i | −0.975582 | − | 0.219635i | \(-0.929513\pi\) |
0.00295926 | − | 0.999996i | \(-0.499058\pi\) | |||||||
\(14\) | −0.0582962 | − | 0.255412i | −0.00416402 | − | 0.0182437i | ||||
\(15\) | 4.77939 | − | 2.30163i | 0.318626 | − | 0.153442i | ||||
\(16\) | 4.71103 | − | 5.90745i | 0.294439 | − | 0.369215i | ||||
\(17\) | −13.9269 | + | 17.4637i | −0.819227 | + | 1.02728i | 0.179823 | + | 0.983699i | \(0.442448\pi\) |
−0.999050 | + | 0.0435792i | \(0.986124\pi\) | |||||||
\(18\) | −13.4095 | − | 3.06062i | −0.744970 | − | 0.170035i | ||||
\(19\) | −11.5294 | − | 23.9411i | −0.606813 | − | 1.26006i | −0.947462 | − | 0.319870i | \(-0.896361\pi\) |
0.340649 | − | 0.940191i | \(-0.389353\pi\) | |||||||
\(20\) | −1.49951 | + | 3.11377i | −0.0749756 | + | 0.155688i | ||||
\(21\) | −0.335594 | + | 1.47033i | −0.0159806 | + | 0.0700158i | ||||
\(22\) | 4.64825 | + | 1.06093i | 0.211284 | + | 0.0482242i | ||||
\(23\) | 25.4900 | + | 12.2753i | 1.10826 | + | 0.533711i | 0.896247 | − | 0.443556i | \(-0.146283\pi\) |
0.212015 | + | 0.977266i | \(0.431997\pi\) | |||||||
\(24\) | 28.2233 | − | 13.5916i | 1.17597 | − | 0.566318i | ||||
\(25\) | −5.31130 | + | 23.2703i | −0.212452 | + | 0.930813i | ||||
\(26\) | 13.7368 | + | 10.9547i | 0.528337 | + | 0.421334i | ||||
\(27\) | 26.8103 | + | 21.3805i | 0.992974 | + | 0.791870i | ||||
\(28\) | −0.426314 | − | 0.885251i | −0.0152255 | − | 0.0316161i | ||||
\(29\) | 32.2996 | − | 7.37217i | 1.11378 | − | 0.254213i | 0.374244 | − | 0.927330i | \(-0.377902\pi\) |
0.739535 | + | 0.673118i | \(0.235045\pi\) | |||||||
\(30\) | −3.59326 | + | 2.86553i | −0.119775 | + | 0.0955175i | ||||
\(31\) | 1.10365 | + | 4.83540i | 0.0356016 | + | 0.155981i | 0.989604 | − | 0.143817i | \(-0.0459378\pi\) |
−0.954003 | + | 0.299798i | \(0.903081\pi\) | |||||||
\(32\) | −13.7408 | + | 28.5332i | −0.429401 | + | 0.891661i | ||||
\(33\) | −21.4587 | − | 17.1127i | −0.650263 | − | 0.518568i | ||||
\(34\) | 8.39672 | − | 17.4360i | 0.246962 | − | 0.512823i | ||||
\(35\) | 0.200523 | + | 0.251447i | 0.00572922 | + | 0.00718421i | ||||
\(36\) | −51.5853 | −1.43293 | ||||||||
\(37\) | − | 24.6655i | − | 0.666635i | −0.942815 | − | 0.333318i | \(-0.891832\pi\) | ||
0.942815 | − | 0.333318i | \(-0.108168\pi\) | |||||||
\(38\) | 14.3541 | + | 17.9995i | 0.377740 | + | 0.473671i | ||||
\(39\) | −43.8851 | − | 91.1284i | −1.12526 | − | 2.33663i | ||||
\(40\) | 1.48648 | − | 6.51272i | 0.0371621 | − | 0.162818i | ||||
\(41\) | 12.5719 | + | 55.0811i | 0.306632 | + | 1.34344i | 0.859910 | + | 0.510445i | \(0.170519\pi\) |
−0.553279 | + | 0.832996i | \(0.686624\pi\) | |||||||
\(42\) | − | 1.30664i | − | 0.0311104i | ||||||
\(43\) | −16.1683 | + | 39.8445i | −0.376008 | + | 0.926616i | ||||
\(44\) | 17.8815 | 0.406397 | ||||||||
\(45\) | 16.4618 | − | 3.75729i | 0.365817 | − | 0.0834953i | ||||
\(46\) | −23.8971 | − | 5.45436i | −0.519502 | − | 0.118573i | ||||
\(47\) | −11.2262 | + | 5.40625i | −0.238855 | + | 0.115027i | −0.549483 | − | 0.835505i | \(-0.685175\pi\) |
0.310627 | + | 0.950532i | \(0.399461\pi\) | |||||||
\(48\) | 29.4636 | − | 23.4964i | 0.613824 | − | 0.489509i | ||||
\(49\) | 48.9086 | 0.998134 | ||||||||
\(50\) | − | 20.6796i | − | 0.413592i | ||||||
\(51\) | −87.1009 | + | 69.4607i | −1.70786 | + | 1.36197i | ||||
\(52\) | 59.3701 | + | 28.5911i | 1.14173 | + | 0.549829i | ||||
\(53\) | 39.6570 | − | 49.7283i | 0.748246 | − | 0.938271i | −0.251315 | − | 0.967905i | \(-0.580863\pi\) |
0.999561 | + | 0.0296347i | \(0.00943441\pi\) | |||||||
\(54\) | −26.7677 | − | 12.8906i | −0.495697 | − | 0.238715i | ||||
\(55\) | −5.70629 | + | 1.30242i | −0.103751 | + | 0.0236804i | ||||
\(56\) | 1.18413 | + | 1.48485i | 0.0211452 | + | 0.0265152i | ||||
\(57\) | −29.4911 | − | 129.209i | −0.517389 | − | 2.26683i | ||||
\(58\) | −25.8611 | + | 12.4540i | −0.445881 | + | 0.214725i | ||||
\(59\) | −51.6529 | + | 64.7707i | −0.875473 | + | 1.09781i | 0.119009 | + | 0.992893i | \(0.462028\pi\) |
−0.994481 | + | 0.104915i | \(0.966543\pi\) | |||||||
\(60\) | −10.7471 | + | 13.4764i | −0.179118 | + | 0.224607i | ||||
\(61\) | −50.9949 | − | 11.6393i | −0.835982 | − | 0.190807i | −0.216960 | − | 0.976181i | \(-0.569614\pi\) |
−0.619023 | + | 0.785373i | \(0.712471\pi\) | |||||||
\(62\) | −1.86443 | − | 3.87153i | −0.0300714 | − | 0.0624440i | ||||
\(63\) | −2.08285 | + | 4.32507i | −0.0330610 | + | 0.0686520i | ||||
\(64\) | −0.619859 | + | 2.71578i | −0.00968530 | + | 0.0424341i | ||||
\(65\) | −21.0285 | − | 4.79961i | −0.323515 | − | 0.0738402i | ||||
\(66\) | 21.4246 | + | 10.3175i | 0.324615 | + | 0.156326i | ||||
\(67\) | −35.8982 | + | 17.2877i | −0.535794 | + | 0.258025i | −0.682156 | − | 0.731206i | \(-0.738958\pi\) |
0.146362 | + | 0.989231i | \(0.453243\pi\) | |||||||
\(68\) | 16.1508 | − | 70.7613i | 0.237512 | − | 1.04061i | ||||
\(69\) | 110.321 | + | 87.9783i | 1.59886 | + | 1.27505i | ||||
\(70\) | −0.217851 | − | 0.173730i | −0.00311216 | − | 0.00248186i | ||||
\(71\) | −9.29195 | − | 19.2949i | −0.130873 | − | 0.271760i | 0.825227 | − | 0.564801i | \(-0.191047\pi\) |
−0.956100 | + | 0.293041i | \(0.905333\pi\) | |||||||
\(72\) | 97.2102 | − | 22.1876i | 1.35014 | − | 0.308161i | ||||
\(73\) | 72.6272 | − | 57.9182i | 0.994893 | − | 0.793401i | 0.0164387 | − | 0.999865i | \(-0.494767\pi\) |
0.978454 | + | 0.206464i | \(0.0661957\pi\) | |||||||
\(74\) | 4.75525 | + | 20.8341i | 0.0642601 | + | 0.281542i | ||||
\(75\) | −51.6522 | + | 107.257i | −0.688696 | + | 1.43009i | ||||
\(76\) | 67.5068 | + | 53.8349i | 0.888248 | + | 0.708354i | ||||
\(77\) | 0.721996 | − | 1.49924i | 0.00937657 | − | 0.0194706i | ||||
\(78\) | 54.6369 | + | 68.5125i | 0.700473 | + | 0.878365i | ||||
\(79\) | −79.2902 | −1.00367 | −0.501837 | − | 0.864962i | \(-0.667342\pi\) | ||||
−0.501837 | + | 0.864962i | \(0.667342\pi\) | |||||||
\(80\) | − | 8.03643i | − | 0.100455i | ||||||
\(81\) | 17.5521 | + | 22.0096i | 0.216693 | + | 0.271724i | ||||
\(82\) | −21.2381 | − | 44.1014i | −0.259001 | − | 0.537822i | ||||
\(83\) | 21.7886 | − | 95.4621i | 0.262513 | − | 1.15015i | −0.656002 | − | 0.754760i | \(-0.727754\pi\) |
0.918515 | − | 0.395386i | \(-0.129389\pi\) | |||||||
\(84\) | −1.09047 | − | 4.77765i | −0.0129818 | − | 0.0568768i | ||||
\(85\) | 23.7575i | 0.279500i | ||||||||
\(86\) | 5.97524 | − | 36.7724i | 0.0694796 | − | 0.427586i | ||||
\(87\) | 165.238 | 1.89929 | ||||||||
\(88\) | −33.6969 | + | 7.69109i | −0.382919 | + | 0.0873987i | ||||
\(89\) | −29.9831 | − | 6.84344i | −0.336889 | − | 0.0768926i | 0.0507302 | − | 0.998712i | \(-0.483845\pi\) |
−0.387619 | + | 0.921820i | \(0.626702\pi\) | |||||||
\(90\) | −13.1803 | + | 6.34730i | −0.146448 | + | 0.0705256i | ||||
\(91\) | 4.79434 | − | 3.82336i | 0.0526850 | − | 0.0420149i | ||||
\(92\) | −91.9305 | −0.999245 | ||||||||
\(93\) | 24.7369i | 0.265988i | ||||||||
\(94\) | 8.44011 | − | 6.73076i | 0.0897884 | − | 0.0716039i | ||||
\(95\) | −25.4637 | − | 12.2627i | −0.268039 | − | 0.129081i | ||||
\(96\) | −98.4816 | + | 123.492i | −1.02585 | + | 1.28638i | ||||
\(97\) | 32.3163 | + | 15.5627i | 0.333158 | + | 0.160440i | 0.592982 | − | 0.805216i | \(-0.297950\pi\) |
−0.259825 | + | 0.965656i | \(0.583665\pi\) | |||||||
\(98\) | −41.3114 | + | 9.42906i | −0.421545 | + | 0.0962149i | ||||
\(99\) | −54.4704 | − | 68.3037i | −0.550206 | − | 0.689936i | ||||
\(100\) | −17.2584 | − | 75.6139i | −0.172584 | − | 0.756139i | ||||
\(101\) | 26.2844 | − | 12.6579i | 0.260242 | − | 0.125326i | −0.299214 | − | 0.954186i | \(-0.596724\pi\) |
0.559456 | + | 0.828860i | \(0.311010\pi\) | |||||||
\(102\) | 60.1799 | − | 75.4632i | 0.589999 | − | 0.739835i | ||||
\(103\) | −42.0813 | + | 52.7682i | −0.408556 | + | 0.512313i | −0.942955 | − | 0.332919i | \(-0.891966\pi\) |
0.534399 | + | 0.845232i | \(0.320538\pi\) | |||||||
\(104\) | −124.178 | − | 28.3428i | −1.19402 | − | 0.272527i | ||||
\(105\) | 0.695974 | + | 1.44520i | 0.00662832 | + | 0.0137639i | ||||
\(106\) | −23.9098 | + | 49.6493i | −0.225564 | + | 0.468390i | ||||
\(107\) | 3.06697 | − | 13.4373i | 0.0286633 | − | 0.125582i | −0.958572 | − | 0.284850i | \(-0.908056\pi\) |
0.987235 | + | 0.159268i | \(0.0509133\pi\) | |||||||
\(108\) | −108.633 | − | 24.7947i | −1.00586 | − | 0.229580i | ||||
\(109\) | 90.7422 | + | 43.6991i | 0.832497 | + | 0.400910i | 0.801051 | − | 0.598596i | \(-0.204274\pi\) |
0.0314461 | + | 0.999505i | \(0.489989\pi\) | |||||||
\(110\) | 4.56881 | − | 2.20022i | 0.0415347 | − | 0.0200020i | ||||
\(111\) | 27.3745 | − | 119.936i | 0.246617 | − | 1.08050i | ||||
\(112\) | 1.78631 | + | 1.42453i | 0.0159492 | + | 0.0127191i | ||||
\(113\) | 106.961 | + | 85.2984i | 0.946556 | + | 0.754853i | 0.969553 | − | 0.244882i | \(-0.0787492\pi\) |
−0.0229966 | + | 0.999736i | \(0.507321\pi\) | |||||||
\(114\) | 49.8203 | + | 103.453i | 0.437020 | + | 0.907482i | ||||
\(115\) | 29.3366 | − | 6.69589i | 0.255101 | − | 0.0582251i | ||||
\(116\) | −84.1661 | + | 67.1202i | −0.725570 | + | 0.578623i | ||||
\(117\) | −71.6401 | − | 313.876i | −0.612308 | − | 2.68270i | ||||
\(118\) | 31.1423 | − | 64.6677i | 0.263918 | − | 0.548031i | ||||
\(119\) | −5.28073 | − | 4.21124i | −0.0443759 | − | 0.0353886i | ||||
\(120\) | 14.4560 | − | 30.0182i | 0.120467 | − | 0.250152i | ||||
\(121\) | −56.5607 | − | 70.9249i | −0.467444 | − | 0.586156i | ||||
\(122\) | 45.3176 | 0.371456 | ||||||||
\(123\) | 281.784i | 2.29092i | ||||||||
\(124\) | −10.0482 | − | 12.6001i | −0.0810340 | − | 0.101613i | ||||
\(125\) | 22.5518 | + | 46.8293i | 0.180415 | + | 0.374635i | ||||
\(126\) | 0.925480 | − | 4.05479i | 0.00734508 | − | 0.0321809i | ||||
\(127\) | −18.7891 | − | 82.3203i | −0.147945 | − | 0.648192i | −0.993454 | − | 0.114230i | \(-0.963560\pi\) |
0.845509 | − | 0.533961i | \(-0.179297\pi\) | |||||||
\(128\) | − | 129.091i | − | 1.00852i | ||||||
\(129\) | −122.839 | + | 175.799i | −0.952240 | + | 1.36278i | ||||
\(130\) | 18.6874 | 0.143749 | ||||||||
\(131\) | −45.1831 | + | 10.3128i | −0.344909 | + | 0.0787233i | −0.391467 | − | 0.920192i | \(-0.628032\pi\) |
0.0465572 | + | 0.998916i | \(0.485175\pi\) | |||||||
\(132\) | 86.9484 | + | 19.8454i | 0.658700 | + | 0.150344i | ||||
\(133\) | 7.23939 | − | 3.48631i | 0.0544315 | − | 0.0262128i | ||||
\(134\) | 26.9891 | − | 21.5231i | 0.201411 | − | 0.160620i | ||||
\(135\) | 36.4725 | 0.270166 | ||||||||
\(136\) | 140.293i | 1.03157i | ||||||||
\(137\) | 114.791 | − | 91.5426i | 0.837889 | − | 0.668195i | −0.107476 | − | 0.994208i | \(-0.534277\pi\) |
0.945365 | + | 0.326013i | \(0.105705\pi\) | |||||||
\(138\) | −110.146 | − | 53.0435i | −0.798158 | − | 0.384373i | ||||
\(139\) | −17.1502 | + | 21.5057i | −0.123383 | + | 0.154717i | −0.839686 | − | 0.543072i | \(-0.817261\pi\) |
0.716304 | + | 0.697789i | \(0.245833\pi\) | |||||||
\(140\) | −0.941549 | − | 0.453426i | −0.00672535 | − | 0.00323876i | ||||
\(141\) | −60.5872 | + | 13.8286i | −0.429696 | + | 0.0980754i | ||||
\(142\) | 11.5685 | + | 14.5064i | 0.0814680 | + | 0.102158i | ||||
\(143\) | 24.8333 | + | 108.802i | 0.173659 | + | 0.760850i | ||||
\(144\) | 108.074 | − | 52.0459i | 0.750517 | − | 0.361430i | ||||
\(145\) | 21.9700 | − | 27.5496i | 0.151518 | − | 0.189997i | ||||
\(146\) | −50.1797 | + | 62.9233i | −0.343696 | + | 0.430982i | ||||
\(147\) | 237.817 | + | 54.2802i | 1.61780 | + | 0.369253i | ||||
\(148\) | 34.7747 | + | 72.2103i | 0.234964 | + | 0.487908i | ||||
\(149\) | 43.8929 | − | 91.1445i | 0.294583 | − | 0.611708i | −0.700174 | − | 0.713972i | \(-0.746894\pi\) |
0.994757 | + | 0.102264i | \(0.0326086\pi\) | |||||||
\(150\) | 22.9509 | − | 100.554i | 0.153006 | − | 0.670362i | ||||
\(151\) | 114.117 | + | 26.0465i | 0.755742 | + | 0.172493i | 0.582998 | − | 0.812474i | \(-0.301880\pi\) |
0.172744 | + | 0.984967i | \(0.444737\pi\) | |||||||
\(152\) | −150.369 | − | 72.4138i | −0.989268 | − | 0.476406i | ||||
\(153\) | −319.492 | + | 153.859i | −2.08818 | + | 1.00562i | ||||
\(154\) | −0.320808 | + | 1.40555i | −0.00208317 | + | 0.00912695i | ||||
\(155\) | 4.12430 | + | 3.28902i | 0.0266084 | + | 0.0212195i | ||||
\(156\) | 256.955 | + | 204.915i | 1.64715 | + | 1.31356i | ||||
\(157\) | 91.9503 | + | 190.937i | 0.585670 | + | 1.21616i | 0.957655 | + | 0.287918i | \(0.0929631\pi\) |
−0.371985 | + | 0.928239i | \(0.621323\pi\) | |||||||
\(158\) | 66.9737 | − | 15.2863i | 0.423884 | − | 0.0967488i | ||||
\(159\) | 248.022 | − | 197.791i | 1.55988 | − | 1.24397i | ||||
\(160\) | 7.49528 | + | 32.8390i | 0.0468455 | + | 0.205244i | ||||
\(161\) | −3.71185 | + | 7.70774i | −0.0230550 | + | 0.0478742i | ||||
\(162\) | −19.0689 | − | 15.2069i | −0.117709 | − | 0.0938700i | ||||
\(163\) | 61.8614 | − | 128.457i | 0.379518 | − | 0.788077i | −0.620475 | − | 0.784227i | \(-0.713060\pi\) |
0.999993 | − | 0.00385077i | \(-0.00122574\pi\) | |||||||
\(164\) | −114.461 | − | 143.530i | −0.697935 | − | 0.875183i | ||||
\(165\) | −29.1922 | −0.176922 | ||||||||
\(166\) | 84.8342i | 0.511049i | ||||||||
\(167\) | −51.3450 | − | 64.3846i | −0.307455 | − | 0.385536i | 0.603967 | − | 0.797009i | \(-0.293586\pi\) |
−0.911422 | + | 0.411473i | \(0.865014\pi\) | |||||||
\(168\) | 4.10988 | + | 8.53425i | 0.0244636 | + | 0.0507991i | ||||
\(169\) | −53.9080 | + | 236.186i | −0.318982 | + | 1.39755i | ||||
\(170\) | −4.58019 | − | 20.0671i | −0.0269423 | − | 0.118042i | ||||
\(171\) | − | 421.854i | − | 2.46698i | ||||||
\(172\) | −8.84061 | − | 139.443i | −0.0513989 | − | 0.810715i | ||||
\(173\) | 43.9904 | 0.254280 | 0.127140 | − | 0.991885i | \(-0.459420\pi\) | ||||
0.127140 | + | 0.991885i | \(0.459420\pi\) | |||||||
\(174\) | −139.571 | + | 31.8562i | −0.802132 | + | 0.183081i | ||||
\(175\) | −7.03655 | − | 1.60605i | −0.0402088 | − | 0.00917740i | ||||
\(176\) | −37.4628 | + | 18.0411i | −0.212857 | + | 0.102507i | ||||
\(177\) | −323.046 | + | 257.620i | −1.82512 | + | 1.45548i | ||||
\(178\) | 26.6450 | 0.149691 | ||||||||
\(179\) | 150.763i | 0.842253i | 0.907002 | + | 0.421127i | \(0.138365\pi\) | ||||
−0.907002 | + | 0.421127i | \(0.861635\pi\) | |||||||
\(180\) | −42.8959 | + | 34.2084i | −0.238311 | + | 0.190046i | ||||
\(181\) | −280.100 | − | 134.889i | −1.54752 | − | 0.745244i | −0.551479 | − | 0.834189i | \(-0.685936\pi\) |
−0.996037 | + | 0.0889441i | \(0.971651\pi\) | |||||||
\(182\) | −3.31251 | + | 4.15376i | −0.0182006 | + | 0.0228228i | ||||
\(183\) | −235.044 | − | 113.191i | −1.28440 | − | 0.618532i | ||||
\(184\) | 173.239 | − | 39.5407i | 0.941516 | − | 0.214895i | ||||
\(185\) | −16.3567 | − | 20.5107i | −0.0884147 | − | 0.110869i | ||||
\(186\) | −4.76902 | − | 20.8944i | −0.0256399 | − | 0.112336i | ||||
\(187\) | 110.748 | − | 53.3337i | 0.592238 | − | 0.285207i | ||||
\(188\) | 25.2436 | − | 31.6545i | 0.134274 | − | 0.168375i | ||||
\(189\) | −6.46509 | + | 8.10697i | −0.0342068 | + | 0.0428940i | ||||
\(190\) | 23.8724 | + | 5.44873i | 0.125644 | + | 0.0286775i | ||||
\(191\) | 49.8976 | + | 103.613i | 0.261244 | + | 0.542479i | 0.989793 | − | 0.142515i | \(-0.0455190\pi\) |
−0.728549 | + | 0.684994i | \(0.759805\pi\) | |||||||
\(192\) | −6.02811 | + | 12.5175i | −0.0313964 | + | 0.0651953i | ||||
\(193\) | 0.381280 | − | 1.67050i | 0.00197555 | − | 0.00865543i | −0.973931 | − | 0.226846i | \(-0.927158\pi\) |
0.975906 | + | 0.218191i | \(0.0700156\pi\) | |||||||
\(194\) | −30.2968 | − | 6.91504i | −0.156169 | − | 0.0356446i | ||||
\(195\) | −96.9239 | − | 46.6761i | −0.497046 | − | 0.239365i | ||||
\(196\) | −143.184 | + | 68.9537i | −0.730530 | + | 0.351805i | ||||
\(197\) | 79.5194 | − | 348.397i | 0.403652 | − | 1.76851i | −0.208751 | − | 0.977969i | \(-0.566940\pi\) |
0.612403 | − | 0.790546i | \(-0.290203\pi\) | |||||||
\(198\) | 59.1775 | + | 47.1925i | 0.298876 | + | 0.238346i | ||||
\(199\) | −196.496 | − | 156.700i | −0.987415 | − | 0.787437i | −0.0102563 | − | 0.999947i | \(-0.503265\pi\) |
−0.977159 | + | 0.212510i | \(0.931836\pi\) | |||||||
\(200\) | 65.0453 | + | 135.068i | 0.325227 | + | 0.675340i | ||||
\(201\) | −193.741 | + | 44.2201i | −0.963885 | + | 0.220000i | ||||
\(202\) | −19.7612 | + | 15.7591i | −0.0978280 | + | 0.0780152i | ||||
\(203\) | 2.22922 | + | 9.76684i | 0.0109814 | + | 0.0481125i | ||||
\(204\) | 157.066 | − | 326.151i | 0.769932 | − | 1.59878i | ||||
\(205\) | 46.9808 | + | 37.4659i | 0.229174 | + | 0.182760i | ||||
\(206\) | 25.3714 | − | 52.6843i | 0.123162 | − | 0.255749i | ||||
\(207\) | 280.038 | + | 351.156i | 1.35284 | + | 1.69641i | ||||
\(208\) | −153.230 | −0.736685 | ||||||||
\(209\) | 146.231i | 0.699670i | ||||||||
\(210\) | −0.866486 | − | 1.08654i | −0.00412612 | − | 0.00517399i | ||||
\(211\) | 38.5677 | + | 80.0866i | 0.182785 | + | 0.379557i | 0.972147 | − | 0.234370i | \(-0.0753029\pi\) |
−0.789362 | + | 0.613928i | \(0.789589\pi\) | |||||||
\(212\) | −45.9898 | + | 201.494i | −0.216933 | + | 0.950445i | ||||
\(213\) | −23.7679 | − | 104.134i | −0.111586 | − | 0.488891i | ||||
\(214\) | 11.9413i | 0.0558005i | ||||||||
\(215\) | 12.9777 | + | 43.8547i | 0.0603615 | + | 0.203975i | ||||
\(216\) | 215.378 | 0.997120 | ||||||||
\(217\) | −1.46214 | + | 0.333724i | −0.00673798 | + | 0.00153790i | ||||
\(218\) | −85.0716 | − | 19.4170i | −0.390237 | − | 0.0890689i | ||||
\(219\) | 417.428 | − | 201.023i | 1.90606 | − | 0.917912i | ||||
\(220\) | 14.8694 | − | 11.8580i | 0.0675882 | − | 0.0538998i | ||||
\(221\) | 452.983 | 2.04970 | ||||||||
\(222\) | 106.583i | 0.480104i | ||||||||
\(223\) | 214.263 | − | 170.869i | 0.960823 | − | 0.766231i | −0.0114851 | − | 0.999934i | \(-0.503656\pi\) |
0.972308 | + | 0.233703i | \(0.0750845\pi\) | |||||||
\(224\) | −8.62794 | − | 4.15500i | −0.0385176 | − | 0.0185491i | ||||
\(225\) | −236.258 | + | 296.258i | −1.05003 | + | 1.31670i | ||||
\(226\) | −106.791 | − | 51.4277i | −0.472526 | − | 0.227556i | ||||
\(227\) | −253.278 | + | 57.8090i | −1.11576 | + | 0.254665i | −0.740369 | − | 0.672201i | \(-0.765349\pi\) |
−0.375392 | + | 0.926866i | \(0.622492\pi\) | |||||||
\(228\) | 268.503 | + | 336.692i | 1.17765 | + | 1.47672i | ||||
\(229\) | −12.5285 | − | 54.8910i | −0.0547097 | − | 0.239699i | 0.940178 | − | 0.340682i | \(-0.110658\pi\) |
−0.994888 | + | 0.100984i | \(0.967801\pi\) | |||||||
\(230\) | −23.4887 | + | 11.3116i | −0.102125 | + | 0.0491808i | ||||
\(231\) | 5.17459 | − | 6.48874i | 0.0224008 | − | 0.0280898i | ||||
\(232\) | 129.738 | − | 162.686i | 0.559215 | − | 0.701233i | ||||
\(233\) | −72.7240 | − | 16.5988i | −0.312120 | − | 0.0712393i | 0.0635916 | − | 0.997976i | \(-0.479745\pi\) |
−0.375712 | + | 0.926737i | \(0.622602\pi\) | |||||||
\(234\) | 121.024 | + | 251.309i | 0.517196 | + | 1.07397i | ||||
\(235\) | −5.75007 | + | 11.9401i | −0.0244684 | + | 0.0508091i | ||||
\(236\) | 59.9012 | − | 262.444i | 0.253819 | − | 1.11205i | ||||
\(237\) | −385.547 | − | 87.9987i | −1.62678 | − | 0.371302i | ||||
\(238\) | 5.27234 | + | 2.53902i | 0.0221527 | + | 0.0106682i | ||||
\(239\) | −395.505 | + | 190.465i | −1.65483 | + | 0.796925i | −0.655711 | + | 0.755012i | \(0.727631\pi\) |
−0.999121 | + | 0.0419133i | \(0.986655\pi\) | |||||||
\(240\) | 8.91908 | − | 39.0770i | 0.0371628 | − | 0.162821i | ||||
\(241\) | −131.969 | − | 105.242i | −0.547590 | − | 0.436689i | 0.310213 | − | 0.950667i | \(-0.399600\pi\) |
−0.857803 | + | 0.513978i | \(0.828171\pi\) | |||||||
\(242\) | 61.4485 | + | 49.0035i | 0.253919 | + | 0.202494i | ||||
\(243\) | −72.9874 | − | 151.560i | −0.300360 | − | 0.623703i | ||||
\(244\) | 165.701 | − | 37.8203i | 0.679104 | − | 0.155001i | ||||
\(245\) | 40.6701 | − | 32.4333i | 0.166000 | − | 0.132381i | ||||
\(246\) | −54.3249 | − | 238.013i | −0.220833 | − | 0.967532i | ||||
\(247\) | −233.812 | + | 485.516i | −0.946608 | + | 1.96565i | ||||
\(248\) | 24.3549 | + | 19.4224i | 0.0982051 | + | 0.0783160i | ||||
\(249\) | 211.894 | − | 440.001i | 0.850978 | − | 1.76707i | ||||
\(250\) | −28.0770 | − | 35.2074i | −0.112308 | − | 0.140830i | ||||
\(251\) | 3.56660 | 0.0142096 | 0.00710478 | − | 0.999975i | \(-0.497738\pi\) | ||||
0.00710478 | + | 0.999975i | \(0.497738\pi\) | |||||||
\(252\) | − | 15.5985i | − | 0.0618989i | ||||||
\(253\) | −97.0720 | − | 121.724i | −0.383684 | − | 0.481124i | ||||
\(254\) | 31.7410 | + | 65.9108i | 0.124964 | + | 0.259491i | ||||
\(255\) | −26.3668 | + | 115.520i | −0.103399 | + | 0.453021i | ||||
\(256\) | 22.4080 | + | 98.1757i | 0.0875311 | + | 0.383499i | ||||
\(257\) | 433.357i | 1.68621i | 0.537747 | + | 0.843106i | \(0.319276\pi\) | ||||
−0.537747 | + | 0.843106i | \(0.680724\pi\) | |||||||
\(258\) | 69.8656 | − | 172.174i | 0.270797 | − | 0.667340i | ||||
\(259\) | 7.45843 | 0.0287970 | ||||||||
\(260\) | 68.3293 | − | 15.5957i | 0.262805 | − | 0.0599836i | ||||
\(261\) | 512.771 | + | 117.037i | 1.96464 | + | 0.448417i | ||||
\(262\) | 36.1765 | − | 17.4217i | 0.138078 | − | 0.0664949i | ||||
\(263\) | 102.332 | − | 81.6071i | 0.389095 | − | 0.310293i | −0.409331 | − | 0.912386i | \(-0.634238\pi\) |
0.798426 | + | 0.602093i | \(0.205666\pi\) | |||||||
\(264\) | −172.386 | −0.652978 | ||||||||
\(265\) | − | 67.6500i | − | 0.255283i | ||||||
\(266\) | −5.44274 | + | 4.34044i | −0.0204614 | + | 0.0163175i | ||||
\(267\) | −138.197 | − | 66.5523i | −0.517592 | − | 0.249259i | ||||
\(268\) | 80.7220 | − | 101.222i | 0.301201 | − | 0.377695i | ||||
\(269\) | 329.810 | + | 158.828i | 1.22606 | + | 0.590440i | 0.930993 | − | 0.365036i | \(-0.118943\pi\) |
0.295068 | + | 0.955476i | \(0.404658\pi\) | |||||||
\(270\) | −30.8070 | + | 7.03151i | −0.114100 | + | 0.0260426i | ||||
\(271\) | 13.6191 | + | 17.0779i | 0.0502552 | + | 0.0630180i | 0.806324 | − | 0.591474i | \(-0.201454\pi\) |
−0.756069 | + | 0.654492i | \(0.772882\pi\) | |||||||
\(272\) | 37.5562 | + | 164.544i | 0.138074 | + | 0.604942i | ||||
\(273\) | 27.5557 | − | 13.2701i | 0.100937 | − | 0.0486085i | ||||
\(274\) | −79.3114 | + | 99.4534i | −0.289458 | + | 0.362969i | ||||
\(275\) | 81.8962 | − | 102.695i | 0.297804 | − | 0.373435i | ||||
\(276\) | −447.011 | − | 102.027i | −1.61960 | − | 0.369664i | ||||
\(277\) | −109.353 | − | 227.075i | −0.394778 | − | 0.819764i | −0.999724 | − | 0.0234977i | \(-0.992520\pi\) |
0.604946 | − | 0.796266i | \(-0.293195\pi\) | |||||||
\(278\) | 10.3401 | − | 21.4715i | 0.0371947 | − | 0.0772355i | ||||
\(279\) | −17.5209 | + | 76.7643i | −0.0627991 | + | 0.275141i | ||||
\(280\) | 1.96933 | + | 0.449487i | 0.00703333 | + | 0.00160531i | ||||
\(281\) | 191.046 | + | 92.0031i | 0.679880 | + | 0.327413i | 0.741755 | − | 0.670671i | \(-0.233994\pi\) |
−0.0618747 | + | 0.998084i | \(0.519708\pi\) | |||||||
\(282\) | 48.5099 | − | 23.3611i | 0.172021 | − | 0.0828409i | ||||
\(283\) | 14.2648 | − | 62.4982i | 0.0504057 | − | 0.220842i | −0.943452 | − | 0.331510i | \(-0.892442\pi\) |
0.993857 | + | 0.110668i | \(0.0352991\pi\) | |||||||
\(284\) | 54.4059 | + | 43.3873i | 0.191570 | + | 0.152772i | ||||
\(285\) | −110.207 | − | 87.8875i | −0.386693 | − | 0.308377i | ||||
\(286\) | −41.9516 | − | 87.1134i | −0.146684 | − | 0.304592i | ||||
\(287\) | −16.6556 | + | 3.80153i | −0.0580333 | + | 0.0132457i | ||||
\(288\) | −393.079 | + | 313.470i | −1.36486 | + | 1.08844i | ||||
\(289\) | −46.7159 | − | 204.676i | −0.161647 | − | 0.708220i | ||||
\(290\) | −13.2461 | + | 27.5058i | −0.0456761 | + | 0.0948474i | ||||
\(291\) | 139.865 | + | 111.539i | 0.480637 | + | 0.383296i | ||||
\(292\) | −130.966 | + | 271.954i | −0.448514 | + | 0.931349i | ||||
\(293\) | 130.578 | + | 163.739i | 0.445658 | + | 0.558837i | 0.953025 | − | 0.302893i | \(-0.0979525\pi\) |
−0.507367 | + | 0.861730i | \(0.669381\pi\) | |||||||
\(294\) | −211.341 | −0.718846 | ||||||||
\(295\) | 88.1134i | 0.298690i | ||||||||
\(296\) | −96.5900 | − | 121.120i | −0.326318 | − | 0.409189i | ||||
\(297\) | −81.8777 | − | 170.021i | −0.275683 | − | 0.572461i | ||||
\(298\) | −19.5031 | + | 85.4487i | −0.0654467 | + | 0.286741i | ||||
\(299\) | −127.670 | − | 559.360i | −0.426991 | − | 1.87077i | ||||
\(300\) | − | 386.825i | − | 1.28942i | ||||||
\(301\) | −12.0483 | − | 4.88903i | −0.0400276 | − | 0.0162426i | ||||
\(302\) | −101.412 | −0.335802 | ||||||||
\(303\) | 141.856 | − | 32.3777i | 0.468171 | − | 0.106857i | ||||
\(304\) | −195.747 | − | 44.6779i | −0.643903 | − | 0.146967i | ||||
\(305\) | −50.1235 | + | 24.1382i | −0.164339 | + | 0.0791416i | ||||
\(306\) | 240.202 | − | 191.554i | 0.784973 | − | 0.625995i | ||||
\(307\) | −113.215 | −0.368780 | −0.184390 | − | 0.982853i | \(-0.559031\pi\) | ||||
−0.184390 | + | 0.982853i | \(0.559031\pi\) | |||||||
\(308\) | 5.40705i | 0.0175554i | ||||||||
\(309\) | −263.183 | + | 209.882i | −0.851726 | + | 0.679229i | ||||
\(310\) | −4.11774 | − | 1.98300i | −0.0132830 | − | 0.00639677i | ||||
\(311\) | −27.5310 | + | 34.5228i | −0.0885241 | + | 0.111006i | −0.824121 | − | 0.566414i | \(-0.808330\pi\) |
0.735597 | + | 0.677420i | \(0.236902\pi\) | |||||||
\(312\) | −572.357 | − | 275.632i | −1.83448 | − | 0.883437i | ||||
\(313\) | −72.3142 | + | 16.5052i | −0.231036 | + | 0.0527324i | −0.336471 | − | 0.941694i | \(-0.609234\pi\) |
0.105435 | + | 0.994426i | \(0.466376\pi\) | |||||||
\(314\) | −114.478 | − | 143.551i | −0.364579 | − | 0.457168i | ||||
\(315\) | 1.13614 | + | 4.97775i | 0.00360679 | + | 0.0158024i | ||||
\(316\) | 232.129 | − | 111.787i | 0.734584 | − | 0.353757i | ||||
\(317\) | −203.262 | + | 254.882i | −0.641204 | + | 0.804044i | −0.991153 | − | 0.132725i | \(-0.957627\pi\) |
0.349949 | + | 0.936769i | \(0.386199\pi\) | |||||||
\(318\) | −171.363 | + | 214.883i | −0.538879 | + | 0.675733i | ||||
\(319\) | −177.747 | − | 40.5695i | −0.557199 | − | 0.127177i | ||||
\(320\) | 1.28550 | + | 2.66937i | 0.00401719 | + | 0.00834178i | ||||
\(321\) | 29.8262 | − | 61.9348i | 0.0929166 | − | 0.192943i | ||||
\(322\) | 1.64930 | − | 7.22607i | 0.00512206 | − | 0.0224412i | ||||
\(323\) | 578.671 | + | 132.078i | 1.79155 | + | 0.408910i | ||||
\(324\) | −82.4155 | − | 39.6892i | −0.254369 | − | 0.122498i | ||||
\(325\) | 436.112 | − | 210.021i | 1.34188 | − | 0.646217i | ||||
\(326\) | −27.4872 | + | 120.429i | −0.0843165 | + | 0.369415i | ||||
\(327\) | 392.734 | + | 313.195i | 1.20102 | + | 0.957782i | ||||
\(328\) | 277.432 | + | 221.244i | 0.845828 | + | 0.674525i | ||||
\(329\) | −1.63476 | − | 3.39461i | −0.00496886 | − | 0.0103180i | ||||
\(330\) | 24.6576 | − | 5.62795i | 0.0747201 | − | 0.0170544i | ||||
\(331\) | 196.452 | − | 156.665i | 0.593511 | − | 0.473309i | −0.280076 | − | 0.959978i | \(-0.590360\pi\) |
0.873587 | + | 0.486669i | \(0.161788\pi\) | |||||||
\(332\) | 70.7993 | + | 310.192i | 0.213251 | + | 0.934313i | ||||
\(333\) | 169.899 | − | 352.798i | 0.510206 | − | 1.05945i | ||||
\(334\) | 55.7820 | + | 44.4847i | 0.167012 | + | 0.133188i | ||||
\(335\) | −18.3871 | + | 38.1812i | −0.0548869 | + | 0.113974i | ||||
\(336\) | 7.10491 | + | 8.90928i | 0.0211456 | + | 0.0265157i | ||||
\(337\) | 513.631 | 1.52413 | 0.762064 | − | 0.647501i | \(-0.224186\pi\) | ||||
0.762064 | + | 0.647501i | \(0.224186\pi\) | |||||||
\(338\) | − | 209.892i | − | 0.620981i | ||||||
\(339\) | 425.429 | + | 533.471i | 1.25495 | + | 1.57366i | ||||
\(340\) | −33.4945 | − | 69.5520i | −0.0985132 | − | 0.204565i | ||||
\(341\) | 6.07344 | − | 26.6095i | 0.0178107 | − | 0.0780337i | ||||
\(342\) | 81.3289 | + | 356.325i | 0.237804 | + | 1.04189i | ||||
\(343\) | 29.6059i | 0.0863145i | ||||||||
\(344\) | 76.6362 | + | 258.972i | 0.222780 | + | 0.752825i | ||||
\(345\) | 150.080 | 0.435015 | ||||||||
\(346\) | −37.1572 | + | 8.48088i | −0.107391 | + | 0.0245112i | ||||
\(347\) | −50.4078 | − | 11.5053i | −0.145267 | − | 0.0331563i | 0.149269 | − | 0.988797i | \(-0.452308\pi\) |
−0.294536 | + | 0.955640i | \(0.595165\pi\) | |||||||
\(348\) | −483.748 | + | 232.961i | −1.39008 | + | 0.669428i | ||||
\(349\) | −473.778 | + | 377.825i | −1.35753 | + | 1.08259i | −0.369349 | + | 0.929291i | \(0.620419\pi\) |
−0.988179 | + | 0.153302i | \(0.951009\pi\) | |||||||
\(350\) | 6.25316 | 0.0178662 | ||||||||
\(351\) | − | 695.419i | − | 1.98125i | ||||||
\(352\) | 136.257 | − | 108.661i | 0.387093 | − | 0.308696i | ||||
\(353\) | 282.421 | + | 136.007i | 0.800059 | + | 0.385288i | 0.788801 | − | 0.614648i | \(-0.210702\pi\) |
0.0112581 | + | 0.999937i | \(0.496416\pi\) | |||||||
\(354\) | 223.199 | − | 279.883i | 0.630506 | − | 0.790630i | ||||
\(355\) | −20.5220 | − | 9.88289i | −0.0578085 | − | 0.0278391i | ||||
\(356\) | 97.4262 | − | 22.2369i | 0.273669 | − | 0.0624632i | ||||
\(357\) | −21.0037 | − | 26.3378i | −0.0588339 | − | 0.0737754i | ||||
\(358\) | −29.0656 | − | 127.345i | −0.0811888 | − | 0.355711i | ||||
\(359\) | −277.969 | + | 133.863i | −0.774286 | + | 0.372877i | −0.778929 | − | 0.627113i | \(-0.784237\pi\) |
0.00464226 | + | 0.999989i | \(0.498522\pi\) | |||||||
\(360\) | 66.1220 | − | 82.9143i | 0.183672 | − | 0.230318i | ||||
\(361\) | −215.170 | + | 269.815i | −0.596040 | + | 0.747410i | ||||
\(362\) | 262.596 | + | 59.9359i | 0.725405 | + | 0.165569i | ||||
\(363\) | −196.311 | − | 407.644i | −0.540802 | − | 1.12299i | ||||
\(364\) | −8.64546 | + | 17.9525i | −0.0237513 | + | 0.0493200i | ||||
\(365\) | 21.9854 | − | 96.3242i | 0.0602339 | − | 0.263902i | ||||
\(366\) | 220.356 | + | 50.2948i | 0.602066 | + | 0.137418i | ||||
\(367\) | 88.8360 | + | 42.7812i | 0.242060 | + | 0.116570i | 0.550981 | − | 0.834518i | \(-0.314254\pi\) |
−0.308921 | + | 0.951088i | \(0.599968\pi\) | |||||||
\(368\) | 192.600 | − | 92.7514i | 0.523370 | − | 0.252042i | ||||
\(369\) | −199.585 | + | 874.438i | −0.540880 | + | 2.36975i | ||||
\(370\) | 17.7702 | + | 14.1713i | 0.0480276 | + | 0.0383007i | ||||
\(371\) | 15.0370 | + | 11.9916i | 0.0405310 | + | 0.0323224i | ||||
\(372\) | −34.8753 | − | 72.4194i | −0.0937509 | − | 0.194676i | ||||
\(373\) | 195.815 | − | 44.6935i | 0.524973 | − | 0.119822i | 0.0481825 | − | 0.998839i | \(-0.484657\pi\) |
0.476791 | + | 0.879017i | \(0.341800\pi\) | |||||||
\(374\) | −83.2633 | + | 66.4003i | −0.222629 | + | 0.177541i | ||||
\(375\) | 57.6852 | + | 252.736i | 0.153827 | + | 0.673962i | ||||
\(376\) | −33.9554 | + | 70.5091i | −0.0903069 | + | 0.187524i | ||||
\(377\) | −525.286 | − | 418.902i | −1.39333 | − | 1.11115i | ||||
\(378\) | 3.89790 | − | 8.09408i | 0.0103119 | − | 0.0214129i | ||||
\(379\) | −115.127 | − | 144.365i | −0.303765 | − | 0.380909i | 0.606397 | − | 0.795162i | \(-0.292614\pi\) |
−0.910162 | + | 0.414253i | \(0.864043\pi\) | |||||||
\(380\) | 91.8357 | 0.241673 | ||||||||
\(381\) | − | 421.134i | − | 1.10534i | ||||||
\(382\) | −62.1224 | − | 77.8990i | −0.162624 | − | 0.203924i | ||||
\(383\) | −187.470 | − | 389.285i | −0.489477 | − | 1.01641i | −0.988696 | − | 0.149934i | \(-0.952094\pi\) |
0.499219 | − | 0.866476i | \(-0.333620\pi\) | |||||||
\(384\) | 143.269 | − | 627.703i | 0.373097 | − | 1.63464i | ||||
\(385\) | −0.393830 | − | 1.72548i | −0.00102294 | − | 0.00448177i | ||||
\(386\) | 1.48452i | 0.00384590i | ||||||||
\(387\) | −505.714 | + | 458.539i | −1.30675 | + | 1.18486i | ||||
\(388\) | −116.550 | −0.300386 | ||||||||
\(389\) | −458.980 | + | 104.759i | −1.17990 | + | 0.269304i | −0.767105 | − | 0.641522i | \(-0.778303\pi\) |
−0.412792 | + | 0.910825i | \(0.635446\pi\) | |||||||
\(390\) | 90.8669 | + | 20.7398i | 0.232992 | + | 0.0531789i | ||||
\(391\) | −569.369 | + | 274.194i | −1.45619 | + | 0.701263i | ||||
\(392\) | 240.166 | − | 191.526i | 0.612667 | − | 0.488586i | ||||
\(393\) | −231.148 | −0.588162 | ||||||||
\(394\) | 309.610i | 0.785812i | ||||||||
\(395\) | −65.9340 | + | 52.5806i | −0.166922 | + | 0.133115i | ||||
\(396\) | 255.764 | + | 123.170i | 0.645870 | + | 0.311034i | ||||
\(397\) | 191.438 | − | 240.055i | 0.482211 | − | 0.604674i | −0.479903 | − | 0.877322i | \(-0.659328\pi\) |
0.962114 | + | 0.272648i | \(0.0878995\pi\) | |||||||
\(398\) | 196.183 | + | 94.4769i | 0.492923 | + | 0.237379i | ||||
\(399\) | 39.0706 | − | 8.91762i | 0.0979214 | − | 0.0223499i | ||||
\(400\) | 112.446 | + | 141.003i | 0.281116 | + | 0.352509i | ||||
\(401\) | −84.2379 | − | 369.070i | −0.210070 | − | 0.920375i | −0.964518 | − | 0.264016i | \(-0.914953\pi\) |
0.754449 | − | 0.656359i | \(-0.227904\pi\) | |||||||
\(402\) | 155.121 | − | 74.7024i | 0.385873 | − | 0.185827i | ||||
\(403\) | 62.7116 | − | 78.6378i | 0.155612 | − | 0.195131i | ||||
\(404\) | −59.1041 | + | 74.1142i | −0.146297 | + | 0.183451i | ||||
\(405\) | 29.1910 | + | 6.66266i | 0.0720766 | + | 0.0164510i | ||||
\(406\) | −3.76589 | − | 7.81995i | −0.00927559 | − | 0.0192610i | ||||
\(407\) | −58.8935 | + | 122.294i | −0.144702 | + | 0.300476i | ||||
\(408\) | −155.702 | + | 682.173i | −0.381622 | + | 1.67199i | ||||
\(409\) | 380.868 | + | 86.9307i | 0.931218 | + | 0.212544i | 0.661113 | − | 0.750286i | \(-0.270084\pi\) |
0.270105 | + | 0.962831i | \(0.412942\pi\) | |||||||
\(410\) | −46.9061 | − | 22.5888i | −0.114405 | − | 0.0550946i | ||||
\(411\) | 659.765 | − | 317.726i | 1.60527 | − | 0.773057i | ||||
\(412\) | 48.8011 | − | 213.812i | 0.118449 | − | 0.518960i | ||||
\(413\) | −19.5855 | − | 15.6189i | −0.0474226 | − | 0.0378183i | ||||
\(414\) | −304.237 | − | 242.621i | −0.734873 | − | 0.586042i | ||||
\(415\) | −45.1865 | − | 93.8308i | −0.108883 | − | 0.226098i | ||||
\(416\) | 626.139 | − | 142.912i | 1.50514 | − | 0.343539i | ||||
\(417\) | −107.260 | + | 85.5372i | −0.257219 | + | 0.205125i | ||||
\(418\) | −28.1918 | − | 123.516i | −0.0674445 | − | 0.295494i | ||||
\(419\) | −172.739 | + | 358.695i | −0.412264 | + | 0.856075i | 0.586666 | + | 0.809829i | \(0.300440\pi\) |
−0.998930 | + | 0.0462460i | \(0.985274\pi\) | |||||||
\(420\) | −4.07504 | − | 3.24974i | −0.00970248 | − | 0.00773747i | ||||
\(421\) | −24.7654 | + | 51.4259i | −0.0588252 | + | 0.122152i | −0.928309 | − | 0.371810i | \(-0.878737\pi\) |
0.869484 | + | 0.493962i | \(0.164452\pi\) | |||||||
\(422\) | −48.0166 | − | 60.2110i | −0.113784 | − | 0.142680i | ||||
\(423\) | −197.810 | −0.467637 | ||||||||
\(424\) | − | 399.488i | − | 0.942188i | ||||||
\(425\) | −332.417 | − | 416.838i | −0.782157 | − | 0.980794i | ||||
\(426\) | 40.1518 | + | 83.3761i | 0.0942531 | + | 0.195719i | ||||
\(427\) | 3.51951 | − | 15.4200i | 0.00824241 | − | 0.0361124i | ||||
\(428\) | 9.96574 | + | 43.6628i | 0.0232844 | + | 0.102016i | ||||
\(429\) | 556.607i | 1.29745i | ||||||||
\(430\) | −19.4166 | − | 34.5406i | −0.0451548 | − | 0.0803270i | ||||
\(431\) | −841.359 | −1.95211 | −0.976055 | − | 0.217526i | \(-0.930201\pi\) | ||||
−0.976055 | + | 0.217526i | \(0.930201\pi\) | |||||||
\(432\) | 252.608 | − | 57.6562i | 0.584741 | − | 0.133463i | ||||
\(433\) | −814.672 | − | 185.944i | −1.88146 | − | 0.429431i | −0.882310 | − | 0.470668i | \(-0.844013\pi\) |
−0.999149 | + | 0.0412373i | \(0.986870\pi\) | |||||||
\(434\) | 1.17068 | − | 0.563771i | 0.00269743 | − | 0.00129901i | ||||
\(435\) | 137.404 | − | 109.576i | 0.315872 | − | 0.251899i | ||||
\(436\) | −327.265 | −0.750607 | ||||||||
\(437\) | − | 751.788i | − | 1.72034i | ||||||
\(438\) | −313.832 | + | 250.273i | −0.716511 | + | 0.571399i | ||||
\(439\) | 569.311 | + | 274.166i | 1.29684 | + | 0.624523i | 0.949662 | − | 0.313277i | \(-0.101427\pi\) |
0.347174 | + | 0.937801i | \(0.387141\pi\) | |||||||
\(440\) | −22.9205 | + | 28.7413i | −0.0520919 | + | 0.0653212i | ||||
\(441\) | 699.554 | + | 336.888i | 1.58629 | + | 0.763917i | ||||
\(442\) | −382.620 | + | 87.3304i | −0.865655 | + | 0.197580i | ||||
\(443\) | −542.027 | − | 679.680i | −1.22354 | − | 1.53427i | −0.762657 | − | 0.646803i | \(-0.776105\pi\) |
−0.460880 | − | 0.887463i | \(-0.652466\pi\) | |||||||
\(444\) | 88.9500 | + | 389.716i | 0.200338 | + | 0.877738i | ||||
\(445\) | −29.4707 | + | 14.1923i | −0.0662263 | + | 0.0318929i | ||||
\(446\) | −148.039 | + | 185.635i | −0.331926 | + | 0.416223i | ||||
\(447\) | 314.583 | − | 394.475i | 0.703766 | − | 0.882495i | ||||
\(448\) | −0.821205 | − | 0.187435i | −0.00183305 | − | 0.000418381i | ||||
\(449\) | 206.682 | + | 429.180i | 0.460316 | + | 0.955857i | 0.993918 | + | 0.110121i | \(0.0351238\pi\) |
−0.533602 | + | 0.845736i | \(0.679162\pi\) | |||||||
\(450\) | 142.443 | − | 295.787i | 0.316541 | − | 0.657304i | ||||
\(451\) | 69.1839 | − | 303.114i | 0.153401 | − | 0.672094i | ||||
\(452\) | −433.395 | − | 98.9195i | −0.958838 | − | 0.218849i | ||||
\(453\) | 525.985 | + | 253.301i | 1.16111 | + | 0.559163i | ||||
\(454\) | 202.790 | − | 97.6586i | 0.446674 | − | 0.215107i | ||||
\(455\) | 1.45132 | − | 6.35865i | 0.00318972 | − | 0.0139751i | ||||
\(456\) | −650.799 | − | 518.995i | −1.42719 | − | 1.13815i | ||||
\(457\) | 97.8225 | + | 78.0109i | 0.214054 | + | 0.170702i | 0.724647 | − | 0.689120i | \(-0.242003\pi\) |
−0.510593 | + | 0.859822i | \(0.670574\pi\) | |||||||
\(458\) | 21.1648 | + | 43.9492i | 0.0462114 | + | 0.0959589i | ||||
\(459\) | −746.766 | + | 170.444i | −1.62694 | + | 0.371339i | ||||
\(460\) | −76.4451 | + | 60.9630i | −0.166185 | + | 0.132528i | ||||
\(461\) | 121.760 | + | 533.467i | 0.264122 | + | 1.15720i | 0.916732 | + | 0.399502i | \(0.130817\pi\) |
−0.652610 | + | 0.757694i | \(0.726326\pi\) | |||||||
\(462\) | −3.11984 | + | 6.47842i | −0.00675291 | + | 0.0140226i | ||||
\(463\) | 606.923 | + | 484.005i | 1.31085 | + | 1.04537i | 0.995338 | + | 0.0964445i | \(0.0307470\pi\) |
0.315510 | + | 0.948922i | \(0.397824\pi\) | |||||||
\(464\) | 108.614 | − | 225.539i | 0.234081 | − | 0.486075i | ||||
\(465\) | 16.4041 | + | 20.5701i | 0.0352776 | + | 0.0442367i | ||||
\(466\) | 64.6275 | 0.138686 | ||||||||
\(467\) | − | 331.656i | − | 0.710184i | −0.934831 | − | 0.355092i | \(-0.884450\pi\) | ||
0.934831 | − | 0.355092i | \(-0.115550\pi\) | |||||||
\(468\) | 652.250 | + | 817.895i | 1.39370 | + | 1.74764i | ||||
\(469\) | −5.22749 | − | 10.8550i | −0.0111460 | − | 0.0231450i | ||||
\(470\) | 2.55495 | − | 11.1940i | 0.00543607 | − | 0.0238170i | ||||
\(471\) | 235.199 | + | 1030.48i | 0.499362 | + | 2.18785i | ||||
\(472\) | 520.329i | 1.10239i | ||||||||
\(473\) | 175.300 | − | 158.948i | 0.370614 | − | 0.336041i | ||||
\(474\) | 342.624 | 0.722835 | ||||||||
\(475\) | 618.354 | − | 141.135i | 1.30180 | − | 0.297127i | ||||
\(476\) | 21.3970 | + | 4.88373i | 0.0449517 | + | 0.0102599i | ||||
\(477\) | 909.761 | − | 438.118i | 1.90726 | − | 0.918486i | ||||
\(478\) | 297.350 | − | 237.129i | 0.622071 | − | 0.496085i | ||||
\(479\) | −164.469 | −0.343359 | −0.171679 | − | 0.985153i | \(-0.554919\pi\) | ||||
−0.171679 | + | 0.985153i | \(0.554919\pi\) | |||||||
\(480\) | 167.997i | 0.349995i | ||||||||
\(481\) | −391.077 | + | 311.873i | −0.813049 | + | 0.648385i | ||||
\(482\) | 131.759 | + | 63.4520i | 0.273360 | + | 0.131643i | ||||
\(483\) | −26.6031 | + | 33.3592i | −0.0550789 | + | 0.0690668i | ||||
\(484\) | 265.580 | + | 127.896i | 0.548718 | + | 0.264249i | ||||
\(485\) | 37.1930 | − | 8.48906i | 0.0766866 | − | 0.0175032i | ||||
\(486\) | 90.8691 | + | 113.946i | 0.186973 | + | 0.234457i | ||||
\(487\) | −84.9004 | − | 371.973i | −0.174333 | − | 0.763805i | −0.984181 | − | 0.177165i | \(-0.943308\pi\) |
0.809848 | − | 0.586640i | \(-0.199550\pi\) | |||||||
\(488\) | −295.990 | + | 142.541i | −0.606537 | + | 0.292093i | ||||
\(489\) | 443.365 | − | 555.963i | 0.906678 | − | 1.13694i | ||||
\(490\) | −28.0998 | + | 35.2361i | −0.0573466 | + | 0.0719103i | ||||
\(491\) | 17.3795 | + | 3.96677i | 0.0353962 | + | 0.00807895i | 0.240182 | − | 0.970728i | \(-0.422793\pi\) |
−0.204786 | + | 0.978807i | \(0.565650\pi\) | |||||||
\(492\) | −397.272 | − | 824.945i | −0.807464 | − | 1.67672i | ||||
\(493\) | −321.086 | + | 666.743i | −0.651291 | + | 1.35242i | ||||
\(494\) | 103.891 | − | 455.175i | 0.210305 | − | 0.921407i | ||||
\(495\) | −90.5900 | − | 20.6766i | −0.183010 | − | 0.0417709i | ||||
\(496\) | 33.7642 | + | 16.2600i | 0.0680730 | + | 0.0327822i | ||||
\(497\) | 5.83446 | − | 2.80973i | 0.0117394 | − | 0.00565337i | ||||
\(498\) | −94.1516 | + | 412.505i | −0.189059 | + | 0.828323i | ||||
\(499\) | −89.5761 | − | 71.4346i | −0.179511 | − | 0.143155i | 0.529612 | − | 0.848240i | \(-0.322338\pi\) |
−0.709123 | + | 0.705085i | \(0.750909\pi\) | |||||||
\(500\) | −132.045 | − | 105.302i | −0.264089 | − | 0.210604i | ||||
\(501\) | −178.208 | − | 370.053i | −0.355705 | − | 0.738629i | ||||
\(502\) | −3.01259 | + | 0.687603i | −0.00600117 | + | 0.00136973i | ||||
\(503\) | 398.644 | − | 317.908i | 0.792532 | − | 0.632023i | −0.141206 | − | 0.989980i | \(-0.545098\pi\) |
0.933738 | + | 0.357957i | \(0.116527\pi\) | |||||||
\(504\) | 6.70915 | + | 29.3947i | 0.0133118 | + | 0.0583228i | ||||
\(505\) | 13.4629 | − | 27.9560i | 0.0266592 | − | 0.0553585i | ||||
\(506\) | 105.461 | + | 84.1020i | 0.208420 | + | 0.166209i | ||||
\(507\) | −524.254 | + | 1088.62i | −1.03403 | + | 2.14719i | ||||
\(508\) | 171.066 | + | 214.510i | 0.336744 | + | 0.422263i | ||||
\(509\) | −279.653 | −0.549417 | −0.274709 | − | 0.961528i | \(-0.588581\pi\) | ||||
−0.274709 | + | 0.961528i | \(0.588581\pi\) | |||||||
\(510\) | − | 102.659i | − | 0.201293i | ||||||
\(511\) | 17.5135 | + | 21.9612i | 0.0342730 | + | 0.0429769i | ||||
\(512\) | 186.188 | + | 386.623i | 0.363648 | + | 0.755122i | ||||
\(513\) | 202.766 | − | 888.374i | 0.395255 | − | 1.73172i | ||||
\(514\) | −83.5466 | − | 366.042i | −0.162542 | − | 0.712143i | ||||
\(515\) | 71.7854i | 0.139389i | ||||||||
\(516\) | 111.771 | − | 687.851i | 0.216610 | − | 1.33304i | ||||
\(517\) | 68.5688 | 0.132628 | ||||||||
\(518\) | −6.29988 | + | 1.43791i | −0.0121619 | + | 0.00277588i | ||||
\(519\) | 213.902 | + | 48.8218i | 0.412144 | + | 0.0940691i | ||||
\(520\) | −122.056 | + | 58.7789i | −0.234722 | + | 0.113036i | ||||
\(521\) | 127.595 | − | 101.754i | 0.244904 | − | 0.195305i | −0.493343 | − | 0.869835i | \(-0.664225\pi\) |
0.738247 | + | 0.674530i | \(0.235654\pi\) | |||||||
\(522\) | −455.684 | −0.872958 | ||||||||
\(523\) | 402.940i | 0.770439i | 0.922825 | + | 0.385220i | \(0.125874\pi\) | ||||
−0.922825 | + | 0.385220i | \(0.874126\pi\) | |||||||
\(524\) | 117.738 | − | 93.8929i | 0.224691 | − | 0.179185i | ||||
\(525\) | −32.4327 | − | 15.6187i | −0.0617765 | − | 0.0297500i | ||||
\(526\) | −70.7034 | + | 88.6592i | −0.134417 | + | 0.168554i | ||||
\(527\) | −99.8145 | − | 48.0681i | −0.189401 | − | 0.0912109i | ||||
\(528\) | −202.185 | + | 46.1474i | −0.382926 | + | 0.0874004i | ||||
\(529\) | 169.231 | + | 212.209i | 0.319907 | + | 0.401151i | ||||
\(530\) | 13.0422 | + | 57.1416i | 0.0246079 | + | 0.107814i | ||||
\(531\) | −1184.95 | + | 570.644i | −2.23155 | + | 1.07466i | ||||
\(532\) | −16.2787 | + | 20.4129i | −0.0305991 | + | 0.0383701i | ||||
\(533\) | 714.361 | − | 895.780i | 1.34026 | − | 1.68064i | ||||
\(534\) | 129.561 | + | 29.5715i | 0.242624 | + | 0.0553773i | ||||
\(535\) | −6.36048 | − | 13.2077i | −0.0118887 | − | 0.0246872i | ||||
\(536\) | −108.580 | + | 225.468i | −0.202574 | + | 0.420650i | ||||
\(537\) | −167.322 | + | 733.084i | −0.311586 | + | 1.36515i | ||||
\(538\) | −309.200 | − | 70.5729i | −0.574721 | − | 0.131176i | ||||
\(539\) | −242.493 | − | 116.778i | −0.449894 | − | 0.216658i | ||||
\(540\) | −106.776 | + | 51.4207i | −0.197734 | + | 0.0952235i | ||||
\(541\) | −36.9797 | + | 162.019i | −0.0683544 | + | 0.299480i | −0.997537 | − | 0.0701405i | \(-0.977655\pi\) |
0.929183 | + | 0.369621i | \(0.120512\pi\) | |||||||
\(542\) | −14.7961 | − | 11.7995i | −0.0272990 | − | 0.0217702i | ||||
\(543\) | −1212.28 | − | 966.761i | −2.23256 | − | 1.78041i | ||||
\(544\) | −306.929 | − | 637.344i | −0.564207 | − | 1.17159i | ||||
\(545\) | 104.436 | − | 23.8368i | 0.191625 | − | 0.0437372i | ||||
\(546\) | −20.7170 | + | 16.5213i | −0.0379432 | + | 0.0302587i | ||||
\(547\) | 191.646 | + | 839.658i | 0.350359 | + | 1.53502i | 0.776353 | + | 0.630298i | \(0.217067\pi\) |
−0.425994 | + | 0.904726i | \(0.640076\pi\) | |||||||
\(548\) | −206.998 | + | 429.837i | −0.377734 | + | 0.784373i | ||||
\(549\) | −649.223 | − | 517.738i | −1.18256 | − | 0.943057i | ||||
\(550\) | −49.3765 | + | 102.531i | −0.0897754 | + | 0.186420i | ||||
\(551\) | −548.895 | − | 688.292i | −0.996179 | − | 1.24917i | ||||
\(552\) | 886.255 | 1.60553 | ||||||||
\(553\) | − | 23.9760i | − | 0.0433562i | ||||||
\(554\) | 136.145 | + | 170.720i | 0.245748 | + | 0.308159i | ||||
\(555\) | −56.7709 | − | 117.886i | −0.102290 | − | 0.212407i | ||||
\(556\) | 19.8889 | − | 87.1388i | 0.0357713 | − | 0.156725i | ||||
\(557\) | 80.7033 | + | 353.584i | 0.144889 | + | 0.634801i | 0.994259 | + | 0.107002i | \(0.0341253\pi\) |
−0.849370 | + | 0.527799i | \(0.823018\pi\) | |||||||
\(558\) | − | 68.2180i | − | 0.122254i | ||||||
\(559\) | 836.177 | − | 247.446i | 1.49584 | − | 0.442658i | ||||
\(560\) | 2.43008 | 0.00433943 | ||||||||
\(561\) | 597.704 | − | 136.422i | 1.06543 | − | 0.243177i | ||||
\(562\) | −179.108 | − | 40.8801i | −0.318697 | − | 0.0727405i | ||||
\(563\) | −296.194 | + | 142.640i | −0.526100 | + | 0.253356i | −0.678029 | − | 0.735035i | \(-0.737166\pi\) |
0.151929 | + | 0.988391i | \(0.451451\pi\) | |||||||
\(564\) | 157.878 | − | 125.903i | 0.279925 | − | 0.223233i | ||||
\(565\) | 145.509 | 0.257537 | ||||||||
\(566\) | 55.5402i | 0.0981275i | ||||||||
\(567\) | −6.65534 | + | 5.30745i | −0.0117378 | + | 0.00936059i | ||||
\(568\) | −121.187 | − | 58.3606i | −0.213357 | − | 0.102748i | ||||
\(569\) | 79.5676 | − | 99.7746i | 0.139838 | − | 0.175351i | −0.706981 | − | 0.707232i | \(-0.749943\pi\) |
0.846819 | + | 0.531882i | \(0.178515\pi\) | |||||||
\(570\) | 110.032 | + | 52.9887i | 0.193039 | + | 0.0929627i | ||||
\(571\) | 834.419 | − | 190.451i | 1.46133 | − | 0.333539i | 0.583344 | − | 0.812225i | \(-0.301744\pi\) |
0.877986 | + | 0.478686i | \(0.158887\pi\) | |||||||
\(572\) | −226.095 | − | 283.515i | −0.395271 | − | 0.495655i | ||||
\(573\) | 127.633 | + | 559.196i | 0.222745 | + | 0.975910i | ||||
\(574\) | 13.3355 | − | 6.42204i | 0.0232326 | − | 0.0111882i | ||||
\(575\) | −421.036 | + | 527.963i | −0.732237 | + | 0.918196i | ||||
\(576\) | −27.5726 | + | 34.5750i | −0.0478691 | + | 0.0600260i | ||||
\(577\) | 378.607 | + | 86.4147i | 0.656165 | + | 0.149765i | 0.537625 | − | 0.843184i | \(-0.319321\pi\) |
0.118540 | + | 0.992949i | \(0.462179\pi\) | |||||||
\(578\) | 78.9186 | + | 163.876i | 0.136537 | + | 0.283523i | ||||
\(579\) | 3.70794 | − | 7.69961i | 0.00640404 | − | 0.0132981i | ||||
\(580\) | −25.4784 | + | 111.628i | −0.0439282 | + | 0.192462i | ||||
\(581\) | 28.8661 | + | 6.58850i | 0.0496835 | + | 0.0113399i | ||||
\(582\) | −139.643 | − | 67.2486i | −0.239937 | − | 0.115547i | ||||
\(583\) | −315.359 | + | 151.869i | −0.540924 | + | 0.260495i | ||||
\(584\) | 129.828 | − | 568.815i | 0.222309 | − | 0.973999i | ||||
\(585\) | −267.717 | − | 213.497i | −0.457635 | − | 0.364952i | ||||
\(586\) | −141.862 | − | 113.131i | −0.242085 | − | 0.193056i | ||||
\(587\) | 444.020 | + | 922.016i | 0.756422 | + | 1.57073i | 0.819742 | + | 0.572733i | \(0.194117\pi\) |
−0.0633202 | + | 0.997993i | \(0.520169\pi\) | |||||||
\(588\) | −772.756 | + | 176.377i | −1.31421 | + | 0.299960i | ||||
\(589\) | 103.041 | − | 82.1721i | 0.174942 | − | 0.139511i | ||||
\(590\) | −16.9873 | − | 74.4264i | −0.0287921 | − | 0.126146i | ||||
\(591\) | 773.324 | − | 1605.82i | 1.30850 | − | 2.71713i | ||||
\(592\) | −145.710 | − | 116.200i | −0.246132 | − | 0.196284i | ||||
\(593\) | −4.55877 | + | 9.46638i | −0.00768764 | + | 0.0159635i | −0.904777 | − | 0.425885i | \(-0.859963\pi\) |
0.897090 | + | 0.441848i | \(0.145677\pi\) | |||||||
\(594\) | 101.938 | + | 127.826i | 0.171612 | + | 0.215195i | ||||
\(595\) | −7.18386 | −0.0120737 | ||||||||
\(596\) | 328.716i | 0.551536i | ||||||||
\(597\) | −781.546 | − | 980.028i | −1.30912 | − | 1.64159i | ||||
\(598\) | 215.677 | + | 447.859i | 0.360665 | + | 0.748928i | ||||
\(599\) | −118.588 | + | 519.569i | −0.197977 | + | 0.867394i | 0.774162 | + | 0.632988i | \(0.218172\pi\) |
−0.972139 | + | 0.234406i | \(0.924685\pi\) | |||||||
\(600\) | 166.379 | + | 728.955i | 0.277299 | + | 1.21493i | ||||
\(601\) | − | 56.8479i | − | 0.0945888i | −0.998881 | − | 0.0472944i | \(-0.984940\pi\) | ||
0.998881 | − | 0.0472944i | \(-0.0150599\pi\) | |||||||
\(602\) | 11.1193 | + | 1.80681i | 0.0184707 | + | 0.00300135i | ||||
\(603\) | −632.542 | −1.04899 | ||||||||
\(604\) | −370.809 | + | 84.6346i | −0.613922 | + | 0.140124i | ||||
\(605\) | −94.0665 | − | 21.4701i | −0.155482 | − | 0.0354877i | ||||
\(606\) | −113.579 | + | 54.6966i | −0.187423 | + | 0.0902584i | ||||
\(607\) | −150.156 | + | 119.746i | −0.247374 | + | 0.197274i | −0.739325 | − | 0.673349i | \(-0.764855\pi\) |
0.491951 | + | 0.870623i | \(0.336284\pi\) | |||||||
\(608\) | 841.541 | 1.38411 | ||||||||
\(609\) | 49.9652i | 0.0820446i | ||||||||
\(610\) | 37.6840 | − | 30.0520i | 0.0617770 | − | 0.0492655i | ||||
\(611\) | 227.662 | + | 109.636i | 0.372606 | + | 0.179437i | ||||
\(612\) | 718.421 | − | 900.872i | 1.17389 | − | 1.47201i | ||||
\(613\) | 166.780 | + | 80.3172i | 0.272072 | + | 0.131023i | 0.564946 | − | 0.825128i | \(-0.308897\pi\) |
−0.292873 | + | 0.956151i | \(0.594611\pi\) | |||||||
\(614\) | 95.6292 | − | 21.8267i | 0.155748 | − | 0.0355484i | ||||
\(615\) | 186.862 | + | 234.318i | 0.303841 | + | 0.381005i | ||||
\(616\) | −2.32565 | − | 10.1894i | −0.00377541 | − | 0.0165412i | ||||
\(617\) | 754.934 | − | 363.557i | 1.22356 | − | 0.589234i | 0.293257 | − | 0.956034i | \(-0.405261\pi\) |
0.930300 | + | 0.366800i | \(0.119547\pi\) | |||||||
\(618\) | 181.839 | − | 228.019i | 0.294238 | − | 0.368962i | ||||
\(619\) | −173.375 | + | 217.405i | −0.280088 | + | 0.351220i | −0.901898 | − | 0.431949i | \(-0.857826\pi\) |
0.621810 | + | 0.783168i | \(0.286398\pi\) | |||||||
\(620\) | −16.7112 | − | 3.81423i | −0.0269536 | − | 0.00615199i | ||||
\(621\) | 420.942 | + | 874.095i | 0.677845 | + | 1.40756i | ||||
\(622\) | 16.5989 | − | 34.4679i | 0.0266863 | − | 0.0554146i | ||||
\(623\) | 2.06934 | − | 9.06637i | 0.00332157 | − | 0.0145528i | ||||
\(624\) | −745.081 | − | 170.060i | −1.19404 | − | 0.272532i | ||||
\(625\) | −487.818 | − | 234.921i | −0.780508 | − | 0.375873i | ||||
\(626\) | 57.8993 | − | 27.8828i | 0.0924909 | − | 0.0445413i | ||||
\(627\) | −162.292 | + | 711.046i | −0.258838 | + | 1.13404i | ||||
\(628\) | −538.384 | − | 429.347i | −0.857299 | − | 0.683673i | ||||
\(629\) | 430.752 | + | 343.513i | 0.684820 | + | 0.546126i | ||||
\(630\) | −1.91932 | − | 3.98550i | −0.00304653 | − | 0.00632619i | ||||
\(631\) | 150.928 | − | 34.4484i | 0.239189 | − | 0.0545933i | −0.101246 | − | 0.994861i | \(-0.532283\pi\) |
0.340435 | + | 0.940268i | \(0.389426\pi\) | |||||||
\(632\) | −389.355 | + | 310.500i | −0.616068 | + | 0.491297i | ||||
\(633\) | 98.6522 | + | 432.223i | 0.155849 | + | 0.682817i | ||||
\(634\) | 122.550 | − | 254.477i | 0.193296 | − | 0.401383i | ||||
\(635\) | −70.2141 | − | 55.9939i | −0.110573 | − | 0.0881794i | ||||
\(636\) | −447.249 | + | 928.722i | −0.703222 | + | 1.46025i | ||||
\(637\) | −618.405 | − | 775.455i | −0.970808 | − | 1.21735i | ||||
\(638\) | 157.958 | 0.247583 | ||||||||
\(639\) | − | 339.985i | − | 0.532059i | ||||||
\(640\) | −85.6057 | − | 107.346i | −0.133759 | − | 0.167728i | ||||
\(641\) | 317.481 | + | 659.257i | 0.495291 | + | 1.02848i | 0.987443 | + | 0.157973i | \(0.0504959\pi\) |
−0.492153 | + | 0.870509i | \(0.663790\pi\) | |||||||
\(642\) | −13.2528 | + | 58.0644i | −0.0206430 | + | 0.0904430i | ||||
\(643\) | −271.265 | − | 1188.49i | −0.421873 | − | 1.84835i | −0.521399 | − | 0.853313i | \(-0.674590\pi\) |
0.0995261 | − | 0.995035i | \(-0.468267\pi\) | |||||||
\(644\) | − | 27.7982i | − | 0.0431649i | ||||||
\(645\) | 14.4326 | + | 227.646i | 0.0223762 | + | 0.352939i | ||||
\(646\) | −514.246 | −0.796047 | ||||||||
\(647\) | −202.845 | + | 46.2981i | −0.313517 | + | 0.0715582i | −0.376384 | − | 0.926464i | \(-0.622833\pi\) |
0.0628673 | + | 0.998022i | \(0.479976\pi\) | |||||||
\(648\) | 172.379 | + | 39.3445i | 0.266017 | + | 0.0607167i | ||||
\(649\) | 410.752 | − | 197.808i | 0.632899 | − | 0.304788i | ||||
\(650\) | −327.879 | + | 261.475i | −0.504430 | + | 0.402269i | ||||
\(651\) | −7.48002 | −0.0114900 | ||||||||
\(652\) | 463.283i | 0.710556i | ||||||||
\(653\) | 594.755 | − | 474.302i | 0.910805 | − | 0.726342i | −0.0513977 | − | 0.998678i | \(-0.516368\pi\) |
0.962202 | + | 0.272336i | \(0.0877962\pi\) | |||||||
\(654\) | −392.109 | − | 188.830i | −0.599556 | − | 0.288731i | ||||
\(655\) | −30.7334 | + | 38.5384i | −0.0469212 | + | 0.0588373i | ||||
\(656\) | 384.615 | + | 185.221i | 0.586303 | + | 0.282349i | ||||
\(657\) | 1437.76 | − | 328.158i | 2.18837 | − | 0.499480i | ||||
\(658\) | 2.03527 | + | 2.55214i | 0.00309311 | + | 0.00387864i | ||||
\(659\) | 181.565 | + | 795.490i | 0.275516 | + | 1.20712i | 0.903396 | + | 0.428806i | \(0.141066\pi\) |
−0.627880 | + | 0.778310i | \(0.716077\pi\) | |||||||
\(660\) | 85.4626 | − | 41.1566i | 0.129489 | − | 0.0623585i | ||||
\(661\) | 67.1647 | − | 84.2218i | 0.101611 | − | 0.127416i | −0.728426 | − | 0.685124i | \(-0.759748\pi\) |
0.830037 | + | 0.557709i | \(0.188319\pi\) | |||||||
\(662\) | −135.733 | + | 170.204i | −0.205035 | + | 0.257105i | ||||
\(663\) | 2202.62 | + | 502.735i | 3.32221 | + | 0.758273i | ||||
\(664\) | −266.836 | − | 554.091i | −0.401862 | − | 0.834475i | ||||
\(665\) | 3.70802 | − | 7.69979i | 0.00557597 | − | 0.0115786i | ||||
\(666\) | −75.4918 | + | 330.751i | −0.113351 | + | 0.496624i | ||||
\(667\) | 913.813 | + | 208.572i | 1.37003 | + | 0.312702i | ||||
\(668\) | 241.089 | + | 116.102i | 0.360912 | + | 0.173806i | ||||
\(669\) | 1231.49 | − | 593.054i | 1.84079 | − | 0.886478i | ||||
\(670\) | 8.17002 | − | 35.7952i | 0.0121941 | − | 0.0534257i | ||||
\(671\) | 225.046 | + | 179.468i | 0.335389 | + | 0.267464i | ||||
\(672\) | −37.3419 | − | 29.7791i | −0.0555683 | − | 0.0443142i | ||||
\(673\) | −16.9997 | − | 35.3002i | −0.0252596 | − | 0.0524520i | 0.887957 | − | 0.459926i | \(-0.152124\pi\) |
−0.913217 | + | 0.407474i | \(0.866410\pi\) | |||||||
\(674\) | −433.847 | + | 99.0227i | −0.643690 | + | 0.146918i | ||||
\(675\) | −639.928 | + | 510.326i | −0.948042 | + | 0.756038i | ||||
\(676\) | −175.167 | − | 767.458i | −0.259123 | − | 1.13529i | ||||
\(677\) | −160.174 | + | 332.604i | −0.236594 | + | 0.491292i | −0.985132 | − | 0.171800i | \(-0.945042\pi\) |
0.748538 | + | 0.663092i | \(0.230756\pi\) | |||||||
\(678\) | −462.193 | − | 368.586i | −0.681700 | − | 0.543638i | ||||
\(679\) | −4.70589 | + | 9.77189i | −0.00693062 | + | 0.0143916i | ||||
\(680\) | 93.0342 | + | 116.661i | 0.136815 | + | 0.171561i | ||||
\(681\) | −1295.72 | −1.90267 | ||||||||
\(682\) | 23.6470i | 0.0346731i | ||||||||
\(683\) | −217.384 | − | 272.590i | −0.318278 | − | 0.399108i | 0.596797 | − | 0.802392i | \(-0.296440\pi\) |
−0.915074 | + | 0.403285i | \(0.867868\pi\) | |||||||
\(684\) | 594.750 | + | 1235.01i | 0.869518 | + | 1.80557i | ||||
\(685\) | 34.7490 | − | 152.245i | 0.0507284 | − | 0.222256i | ||||
\(686\) | −5.70770 | − | 25.0071i | −0.00832026 | − | 0.0364534i | ||||
\(687\) | − | 280.811i | − | 0.408750i | ||||||
\(688\) | 159.210 | + | 283.222i | 0.231409 | + | 0.411660i | ||||
\(689\) | −1289.88 | −1.87210 | ||||||||
\(690\) | −126.767 | + | 28.9338i | −0.183721 | + | 0.0419331i | ||||
\(691\) | 664.988 | + | 151.779i | 0.962357 | + | 0.219652i | 0.674708 | − | 0.738085i | \(-0.264269\pi\) |
0.287648 | + | 0.957736i | \(0.407127\pi\) | |||||||
\(692\) | −128.785 | + | 62.0198i | −0.186106 | + | 0.0896240i | ||||
\(693\) | 20.6539 | − | 16.4709i | 0.0298035 | − | 0.0237675i | ||||
\(694\) | 44.7958 | 0.0645473 | ||||||||
\(695\) | 29.2561i | 0.0420951i | ||||||||
\(696\) | 811.402 | − | 647.072i | 1.16581 | − | 0.929701i | ||||
\(697\) | −1137.01 | − | 547.554i | −1.63129 | − | 0.785587i | ||||
\(698\) | 327.343 | − | 410.475i | 0.468973 | − | 0.588073i | ||||
\(699\) | −335.197 | − | 161.422i | −0.479538 | − | 0.230933i | ||||
\(700\) | 22.8644 | − | 5.21864i | 0.0326634 | − | 0.00745520i | ||||
\(701\) | 141.292 | + | 177.175i | 0.201558 | + | 0.252746i | 0.872330 | − | 0.488918i | \(-0.162608\pi\) |
−0.670772 | + | 0.741664i | \(0.734037\pi\) | |||||||
\(702\) | 134.070 | + | 587.397i | 0.190982 | + | 0.836748i | ||||
\(703\) | −590.521 | + | 284.380i | −0.840001 | + | 0.404523i | ||||
\(704\) | 9.55775 | − | 11.9850i | 0.0135763 | − | 0.0170242i | ||||
\(705\) | −41.2111 | + | 51.6771i | −0.0584555 | + | 0.0733009i | ||||
\(706\) | −264.772 | − | 60.4325i | −0.375031 | − | 0.0855984i | ||||
\(707\) | 3.82754 | + | 7.94796i | 0.00541377 | + | 0.0112418i | ||||
\(708\) | 582.537 | − | 1209.65i | 0.822793 | − | 1.70855i | ||||
\(709\) | −200.265 | + | 877.417i | −0.282461 | + | 1.23754i | 0.612167 | + | 0.790729i | \(0.290298\pi\) |
−0.894627 | + | 0.446813i | \(0.852559\pi\) | |||||||
\(710\) | 19.2396 | + | 4.39131i | 0.0270980 | + | 0.00618494i | ||||
\(711\) | −1134.11 | − | 546.160i | −1.59509 | − | 0.768157i | ||||
\(712\) | −174.031 | + | 83.8089i | −0.244425 | + | 0.117709i | ||||
\(713\) | −31.2242 | + | 136.802i | −0.0437927 | + | 0.191868i | ||||
\(714\) | 22.8188 | + | 18.1974i | 0.0319591 | + | 0.0254865i | ||||
\(715\) | 92.8010 | + | 74.0063i | 0.129792 | + | 0.103505i | ||||
\(716\) | −212.554 | − | 441.372i | −0.296863 | − | 0.616442i | ||||
\(717\) | −2134.52 | + | 487.190i | −2.97702 | + | 0.679484i | ||||
\(718\) | 208.983 | − | 166.659i | 0.291063 | − | 0.232115i | ||||
\(719\) | −22.0183 | − | 96.4685i | −0.0306235 | − | 0.134170i | 0.957305 | − | 0.289079i | \(-0.0933489\pi\) |
−0.987929 | + | 0.154908i | \(0.950492\pi\) | |||||||
\(720\) | 55.3558 | − | 114.948i | 0.0768831 | − | 0.159649i | ||||
\(721\) | −15.9562 | − | 12.7246i | −0.0221307 | − | 0.0176486i | ||||
\(722\) | 129.730 | − | 269.386i | 0.179681 | − | 0.373111i | ||||
\(723\) | −524.898 | − | 658.201i | −0.726000 | − | 0.910375i | ||||
\(724\) | 1010.19 | 1.39529 | ||||||||
\(725\) | 790.778i | 1.09073i | ||||||||
\(726\) | 244.407 | + | 306.476i | 0.336648 | + | 0.422143i | ||||
\(727\) | −363.195 | − | 754.182i | −0.499580 | − | 1.03739i | −0.986473 | − | 0.163927i | \(-0.947584\pi\) |
0.486892 | − | 0.873462i | \(-0.338130\pi\) | |||||||
\(728\) | 8.57036 | − | 37.5492i | 0.0117725 | − | 0.0515786i | ||||
\(729\) | −243.073 | − | 1064.97i | −0.333433 | − | 1.46087i | ||||
\(730\) | 85.6003i | 0.117261i | ||||||||
\(731\) | −470.660 | − | 837.268i | −0.643857 | − | 1.14537i | ||||
\(732\) | 847.695 | 1.15805 | ||||||||
\(733\) | −859.811 | + | 196.246i | −1.17300 | + | 0.267730i | −0.764253 | − | 0.644916i | \(-0.776892\pi\) |
−0.408750 | + | 0.912646i | \(0.634035\pi\) | |||||||
\(734\) | −83.2845 | − | 19.0091i | −0.113467 | − | 0.0258980i | ||||
\(735\) | 233.753 | − | 112.570i | 0.318031 | − | 0.153156i | ||||
\(736\) | −700.509 | + | 558.637i | −0.951778 | + | 0.759018i | ||||
\(737\) | 219.264 | 0.297509 | ||||||||
\(738\) | − | 777.086i | − | 1.05296i | ||||||
\(739\) | 17.4864 | − | 13.9449i | 0.0236622 | − | 0.0188700i | −0.611587 | − | 0.791177i | \(-0.709469\pi\) |
0.635250 | + | 0.772307i | \(0.280897\pi\) | |||||||
\(740\) | 76.8026 | + | 36.9862i | 0.103787 | + | 0.0499814i | ||||
\(741\) | −1675.75 | + | 2101.32i | −2.26147 | + | 2.83579i | ||||
\(742\) | −15.0131 | − | 7.22992i | −0.0202333 | − | 0.00974383i | ||||
\(743\) | 193.249 | − | 44.1079i | 0.260093 | − | 0.0593645i | −0.0904859 | − | 0.995898i | \(-0.528842\pi\) |
0.350579 | + | 0.936533i | \(0.385985\pi\) | |||||||
\(744\) | 96.8697 | + | 121.471i | 0.130201 | + | 0.163267i | ||||
\(745\) | −23.9424 | − | 104.899i | −0.0321375 | − | 0.140804i | ||||
\(746\) | −156.782 | + | 75.5021i | −0.210163 | + | 0.101209i | ||||
\(747\) | 969.203 | − | 1215.34i | 1.29746 | − | 1.62696i | ||||
\(748\) | −249.033 | + | 312.277i | −0.332932 | + | 0.417483i | ||||
\(749\) | 4.06321 | + | 0.927400i | 0.00542484 | + | 0.00123818i | ||||
\(750\) | −97.4495 | − | 202.356i | −0.129933 | − | 0.269808i | ||||
\(751\) | 462.332 | − | 960.042i | 0.615622 | − | 1.27835i | −0.327169 | − | 0.944966i | \(-0.606095\pi\) |
0.942791 | − | 0.333386i | \(-0.108191\pi\) | |||||||
\(752\) | −20.9498 | + | 91.7871i | −0.0278588 | + | 0.122057i | ||||
\(753\) | 17.3425 | + | 3.95832i | 0.0230313 | + | 0.00525674i | ||||
\(754\) | 524.451 | + | 252.562i | 0.695559 | + | 0.334964i | ||||
\(755\) | 112.167 | − | 54.0167i | 0.148565 | − | 0.0715453i | ||||
\(756\) | 7.49749 | − | 32.8486i | 0.00991731 | − | 0.0434506i | ||||
\(757\) | −509.378 | − | 406.215i | −0.672890 | − | 0.536612i | 0.226362 | − | 0.974043i | \(-0.427317\pi\) |
−0.899252 | + | 0.437432i | \(0.855888\pi\) | |||||||
\(758\) | 125.076 | + | 99.7446i | 0.165008 | + | 0.131589i | ||||
\(759\) | −336.918 | − | 699.617i | −0.443897 | − | 0.921761i | ||||
\(760\) | −173.060 | + | 39.4999i | −0.227711 | + | 0.0519735i | ||||
\(761\) | −400.049 | + | 319.028i | −0.525688 | + | 0.419222i | −0.850043 | − | 0.526713i | \(-0.823424\pi\) |
0.324355 | + | 0.945935i | \(0.394853\pi\) | |||||||
\(762\) | 81.1902 | + | 355.717i | 0.106549 | + | 0.466821i | ||||
\(763\) | −13.2139 | + | 27.4389i | −0.0173183 | + | 0.0359618i | ||||
\(764\) | −292.159 | − | 232.989i | −0.382407 | − | 0.304959i | ||||
\(765\) | −163.644 | + | 339.811i | −0.213914 | + | 0.444197i | ||||
\(766\) | 233.399 | + | 292.674i | 0.304699 | + | 0.382080i | ||||
\(767\) | 1680.06 | 2.19042 | ||||||||
\(768\) | 502.247i | 0.653967i | ||||||||
\(769\) | −211.105 | − | 264.718i | −0.274519 | − | 0.344236i | 0.625391 | − | 0.780312i | \(-0.284940\pi\) |
−0.899910 | + | 0.436075i | \(0.856368\pi\) | |||||||
\(770\) | 0.665310 | + | 1.38153i | 0.000864039 | + | 0.00179419i | ||||
\(771\) | −480.952 | + | 2107.19i | −0.623803 | + | 2.73306i | ||||
\(772\) | 1.23892 | + | 5.42807i | 0.00160482 | + | 0.00703118i | ||||
\(773\) | 513.752i | 0.664621i | 0.943170 | + | 0.332311i | \(0.107828\pi\) | ||||
−0.943170 | + | 0.332311i | \(0.892172\pi\) | |||||||
\(774\) | 338.758 | − | 484.808i | 0.437672 | − | 0.626368i | ||||
\(775\) | −118.383 | −0.152752 | ||||||||
\(776\) | 219.633 | − | 50.1297i | 0.283032 | − | 0.0646002i | ||||
\(777\) | 36.2665 | + | 8.27759i | 0.0466750 | + | 0.0106533i | ||||
\(778\) | 367.488 | − | 176.973i | 0.472350 | − | 0.227472i | ||||
\(779\) | 1173.76 | − | 936.040i | 1.50675 | − | 1.20159i | ||||
\(780\) | 349.559 | 0.448153 | ||||||||
\(781\) | 117.852i | 0.150899i | ||||||||
\(782\) | 428.065 | − | 341.370i | 0.547398 | − | 0.436535i | ||||
\(783\) | 1023.58 | + | 492.931i | 1.30726 | + | 0.629542i | ||||
\(784\) | 230.410 | − | 288.925i | 0.293890 | − | 0.368526i | ||||
\(785\) | 203.080 | + | 97.7980i | 0.258700 | + | 0.124583i | ||||
\(786\) | 195.243 | − | 44.5628i | 0.248400 | − | 0.0566957i | ||||
\(787\) | −69.4862 | − | 87.1329i | −0.0882925 | − | 0.110715i | 0.735723 | − | 0.677283i | \(-0.236843\pi\) |
−0.824015 | + | 0.566567i | \(0.808271\pi\) | |||||||
\(788\) | 258.388 | + | 1132.07i | 0.327904 | + | 1.43664i | ||||
\(789\) | 588.158 | − | 283.242i | 0.745447 | − | 0.358988i | ||||
\(790\) | 45.5552 | − | 57.1244i | 0.0576648 | − | 0.0723094i | ||||
\(791\) | −25.7928 | + | 32.3431i | −0.0326078 | + | 0.0408889i | ||||
\(792\) | −534.954 | − | 122.100i | −0.675447 | − | 0.154166i | ||||
\(793\) | 460.242 | + | 955.702i | 0.580381 | + | 1.20517i | ||||
\(794\) | −115.421 | + | 239.674i | −0.145366 | + | 0.301856i | ||||
\(795\) | 75.0800 | − | 328.947i | 0.0944402 | − | 0.413770i | ||||
\(796\) | 796.181 | + | 181.723i | 1.00023 | + | 0.228295i | ||||
\(797\) | −899.213 | − | 433.038i | −1.12825 | − | 0.543335i | −0.225816 | − | 0.974170i | \(-0.572505\pi\) |
−0.902431 | + | 0.430835i | \(0.858219\pi\) | |||||||
\(798\) | −31.2824 | + | 15.0648i | −0.0392010 | + | 0.0188782i | ||||
\(799\) | 61.9323 | − | 271.343i | 0.0775123 | − | 0.339603i | ||||
\(800\) | −590.994 | − | 471.302i | −0.738743 | − | 0.589128i | ||||
\(801\) | −381.719 | − | 304.411i | −0.476553 | − | 0.380038i | ||||
\(802\) | 142.306 | + | 295.501i | 0.177439 | + | 0.368455i | ||||
\(803\) | −498.382 | + | 113.753i | −0.620651 | + | 0.141659i | ||||
\(804\) | 504.849 | − | 402.603i | 0.627921 | − | 0.500750i | ||||
\(805\) | 2.02472 | + | 8.87088i | 0.00251518 | + | 0.0110197i | ||||
\(806\) | −37.8098 | + | 78.5128i | −0.0469104 | + | 0.0974105i | ||||
\(807\) | 1427.43 | + | 1138.33i | 1.76880 | + | 1.41057i | ||||
\(808\) | 79.5014 | − | 165.086i | 0.0983929 | − | 0.204315i | ||||
\(809\) | 252.720 | + | 316.900i | 0.312385 | + | 0.391719i | 0.913094 | − | 0.407749i | \(-0.133686\pi\) |
−0.600709 | + | 0.799468i | \(0.705115\pi\) | |||||||
\(810\) | −25.9411 | −0.0320261 | ||||||||
\(811\) | 1126.53i | 1.38907i | 0.719459 | + | 0.694534i | \(0.244390\pi\) | ||||
−0.719459 | + | 0.694534i | \(0.755610\pi\) | |||||||
\(812\) | −20.2960 | − | 25.4504i | −0.0249951 | − | 0.0313428i | ||||
\(813\) | 47.2693 | + | 98.1558i | 0.0581419 | + | 0.120733i | ||||
\(814\) | 26.1684 | − | 114.651i | 0.0321479 | − | 0.140849i | ||||
\(815\) | −33.7438 | − | 147.841i | −0.0414035 | − | 0.181400i | ||||
\(816\) | 841.775i | 1.03159i | ||||||||
\(817\) | 1140.34 | − | 72.2966i | 1.39576 | − | 0.0884904i | ||||
\(818\) | −338.466 | −0.413772 | ||||||||
\(819\) | 94.9106 | − | 21.6627i | 0.115886 | − | 0.0264502i | ||||
\(820\) | −190.361 | − | 43.4487i | −0.232148 | − | 0.0529863i | ||||
\(821\) | −185.139 | + | 89.1581i | −0.225504 | + | 0.108597i | −0.543225 | − | 0.839587i | \(-0.682797\pi\) |
0.317721 | + | 0.948184i | \(0.397083\pi\) | |||||||
\(822\) | −496.027 | + | 395.568i | −0.603439 | + | 0.481227i | ||||
\(823\) | −806.160 | −0.979538 | −0.489769 | − | 0.871852i | \(-0.662919\pi\) | ||||
−0.489769 | + | 0.871852i | \(0.662919\pi\) | |||||||
\(824\) | 423.909i | 0.514452i | ||||||||
\(825\) | 512.192 | − | 408.460i | 0.620839 | − | 0.495103i | ||||
\(826\) | 19.5544 | + | 9.41690i | 0.0236736 | + | 0.0114006i | ||||
\(827\) | 405.969 | − | 509.069i | 0.490893 | − | 0.615561i | −0.473255 | − | 0.880926i | \(-0.656921\pi\) |
0.964148 | + | 0.265365i | \(0.0854925\pi\) | |||||||
\(828\) | −1314.91 | − | 633.228i | −1.58806 | − | 0.764768i | ||||
\(829\) | −616.946 | + | 140.814i | −0.744205 | + | 0.169860i | −0.577778 | − | 0.816194i | \(-0.696080\pi\) |
−0.166427 | + | 0.986054i | \(0.553223\pi\) | |||||||
\(830\) | 56.2571 | + | 70.5441i | 0.0677796 | + | 0.0849930i | ||||
\(831\) | −279.715 | − | 1225.51i | −0.336600 | − | 1.47474i | ||||
\(832\) | 50.8968 | − | 24.5106i | 0.0611740 | − | 0.0294598i | ||||
\(833\) | −681.143 | + | 854.126i | −0.817698 | + | 1.02536i | ||||
\(834\) | 74.1084 | − | 92.9289i | 0.0888589 | − | 0.111426i | ||||
\(835\) | −85.3922 | − | 19.4902i | −0.102266 | − | 0.0233416i | ||||
\(836\) | −206.164 | − | 428.103i | −0.246607 | − | 0.512085i | ||||
\(837\) | −73.7941 | + | 153.235i | −0.0881650 | + | 0.183076i | ||||
\(838\) | 76.7537 | − | 336.280i | 0.0915915 | − | 0.401289i | ||||
\(839\) | −1442.32 | − | 329.199i | −1.71909 | − | 0.392371i | −0.754537 | − | 0.656258i | \(-0.772138\pi\) |
−0.964554 | + | 0.263887i | \(0.914996\pi\) | |||||||
\(840\) | 9.07700 | + | 4.37125i | 0.0108059 | + | 0.00520387i | ||||
\(841\) | 231.200 | − | 111.340i | 0.274911 | − | 0.132390i | ||||
\(842\) | 11.0041 | − | 48.2122i | 0.0130690 | − | 0.0572592i | ||||
\(843\) | 826.852 | + | 659.393i | 0.980845 | + | 0.782198i | ||||
\(844\) | −225.820 | − | 180.086i | −0.267559 | − | 0.213372i | ||||
\(845\) | 111.798 | + | 232.150i | 0.132305 | + | 0.274734i | ||||
\(846\) | 167.084 | − | 38.1358i | 0.197498 | − | 0.0450777i | ||||
\(847\) | 21.4465 | − | 17.1030i | 0.0253205 | − | 0.0201924i | ||||
\(848\) | −106.942 | − | 468.543i | −0.126111 | − | 0.552528i | ||||
\(849\) | 138.725 | − | 288.065i | 0.163398 | − | 0.339299i | ||||
\(850\) | 361.143 | + | 288.002i | 0.424874 | + | 0.338826i | ||||
\(851\) | 302.778 | − | 628.724i | 0.355790 | − | 0.738806i | ||||
\(852\) | 216.395 | + | 271.351i | 0.253985 | + | 0.318487i | ||||
\(853\) | −1125.72 | −1.31972 | −0.659861 | − | 0.751388i | \(-0.729385\pi\) | ||||
−0.659861 | + | 0.751388i | \(0.729385\pi\) | |||||||
\(854\) | 13.7033i | 0.0160460i | ||||||||
\(855\) | −279.749 | − | 350.794i | −0.327191 | − | 0.410285i | ||||
\(856\) | −37.5600 | − | 77.9941i | −0.0438785 | − | 0.0911146i | ||||
\(857\) | 234.106 | − | 1025.69i | 0.273170 | − | 1.19683i | −0.633078 | − | 0.774088i | \(-0.718209\pi\) |
0.906248 | − | 0.422747i | \(-0.138934\pi\) | |||||||
\(858\) | −107.308 | − | 470.147i | −0.125067 | − | 0.547956i | ||||
\(859\) | 459.916i | 0.535409i | 0.963501 | + | 0.267705i | \(0.0862651\pi\) | ||||
−0.963501 | + | 0.267705i | \(0.913735\pi\) | |||||||
\(860\) | −99.8219 | − | 110.092i | −0.116072 | − | 0.128014i | ||||
\(861\) | −85.2065 | −0.0989622 | ||||||||
\(862\) | 710.667 | − | 162.205i | 0.824440 | − | 0.188173i | ||||
\(863\) | 1115.66 | + | 254.643i | 1.29277 | + | 0.295067i | 0.812968 | − | 0.582309i | \(-0.197850\pi\) |
0.479804 | + | 0.877375i | \(0.340708\pi\) | |||||||
\(864\) | −978.449 | + | 471.196i | −1.13246 | + | 0.545366i | ||||
\(865\) | 36.5803 | − | 29.1718i | 0.0422894 | − | 0.0337247i | ||||
\(866\) | 723.974 | 0.835997 | ||||||||
\(867\) | − | 1047.08i | − | 1.20770i | ||||||
\(868\) | 3.81004 | − | 3.03841i | 0.00438945 | − | 0.00350047i | ||||
\(869\) | 393.128 | + | 189.320i | 0.452391 | + | 0.217860i | ||||
\(870\) | −94.9356 | + | 119.045i | −0.109121 | + | 0.136834i | ||||
\(871\) | 728.000 | + | 350.586i | 0.835821 | + | 0.402510i | ||||
\(872\) | 616.715 | − | 140.761i | 0.707242 | − | 0.161423i | ||||
\(873\) | 355.032 | + | 445.196i | 0.406681 | + | 0.509961i | ||||
\(874\) | 144.937 | + | 635.010i | 0.165832 | + | 0.726556i | ||||
\(875\) | −14.1604 | + | 6.81928i | −0.0161833 | + | 0.00779347i | ||||
\(876\) | −938.643 | + | 1177.02i | −1.07151 | + | 1.34363i | ||||
\(877\) | 222.830 | − | 279.420i | 0.254082 | − | 0.318609i | −0.638389 | − | 0.769714i | \(-0.720399\pi\) |
0.892471 | + | 0.451105i | \(0.148970\pi\) | |||||||
\(878\) | −533.734 | − | 121.821i | −0.607897 | − | 0.138749i | ||||
\(879\) | 453.209 | + | 941.099i | 0.515596 | + | 1.07065i | ||||
\(880\) | −19.1885 | + | 39.8453i | −0.0218051 | + | 0.0452788i | ||||
\(881\) | 194.664 | − | 852.879i | 0.220958 | − | 0.968080i | −0.735801 | − | 0.677198i | \(-0.763194\pi\) |
0.956759 | − | 0.290882i | \(-0.0939488\pi\) | |||||||
\(882\) | −655.838 | − | 149.691i | −0.743580 | − | 0.169717i | ||||
\(883\) | −620.045 | − | 298.598i | −0.702203 | − | 0.338163i | 0.0484814 | − | 0.998824i | \(-0.484562\pi\) |
−0.750684 | + | 0.660661i | \(0.770276\pi\) | |||||||
\(884\) | −1326.15 | + | 638.639i | −1.50017 | + | 0.722442i | ||||
\(885\) | −97.7909 | + | 428.450i | −0.110498 | + | 0.484124i | ||||
\(886\) | 588.866 | + | 469.605i | 0.664635 | + | 0.530029i | ||||
\(887\) | 186.359 | + | 148.616i | 0.210100 | + | 0.167549i | 0.722886 | − | 0.690967i | \(-0.242815\pi\) |
−0.512786 | + | 0.858516i | \(0.671387\pi\) | |||||||
\(888\) | −335.245 | − | 696.143i | −0.377528 | − | 0.783945i | ||||
\(889\) | 24.8922 | − | 5.68149i | 0.0280003 | − | 0.00639088i | ||||
\(890\) | 22.1568 | − | 17.6694i | 0.0248952 | − | 0.0198533i | ||||
\(891\) | −34.4727 | − | 151.035i | −0.0386899 | − | 0.169511i | ||||
\(892\) | −386.374 | + | 802.314i | −0.433155 | + | 0.899455i | ||||
\(893\) | 258.863 | + | 206.437i | 0.289881 | + | 0.231172i | ||||
\(894\) | −189.667 | + | 393.848i | −0.212156 | + | 0.440546i | ||||
\(895\) | 99.9774 | + | 125.368i | 0.111707 | + | 0.140076i | ||||
\(896\) | 39.0349 | 0.0435658 | ||||||||
\(897\) | − | 2861.57i | − | 3.19016i | ||||||
\(898\) | −257.319 | − | 322.667i | −0.286546 | − | 0.359318i | ||||
\(899\) | 71.2948 | + | 148.045i | 0.0793046 | + | 0.164678i | ||||
\(900\) | 273.985 | − | 1200.41i | 0.304428 | − | 1.33379i | ||||
\(901\) | 316.144 | + | 1385.12i | 0.350882 | + | 1.53731i | ||||
\(902\) | 269.368i | 0.298635i | ||||||||
\(903\) | −53.1586 | − | 37.1444i | −0.0588689 | − | 0.0411344i | ||||
\(904\) | 859.260 | 0.950509 | ||||||||
\(905\) | −322.369 | + | 73.5786i | −0.356209 | + | 0.0813023i | ||||
\(906\) | −493.115 | − | 112.550i | −0.544277 | − | 0.124228i | ||||
\(907\) | 1085.69 | − | 522.841i | 1.19701 | − | 0.576451i | 0.274191 | − | 0.961675i | \(-0.411590\pi\) |
0.922823 | + | 0.385224i | \(0.125876\pi\) | |||||||
\(908\) | 659.990 | − | 526.324i | 0.726861 | − | 0.579652i | ||||
\(909\) | 463.143 | 0.509509 | ||||||||
\(910\) | 5.65073i | 0.00620960i | ||||||||
\(911\) | −1242.13 | + | 990.563i | −1.36348 | + | 1.08734i | −0.376509 | + | 0.926413i | \(0.622876\pi\) |
−0.986967 | + | 0.160923i | \(0.948553\pi\) | |||||||
\(912\) | −902.230 | − | 434.491i | −0.989287 | − | 0.476415i | ||||
\(913\) | −335.964 | + | 421.285i | −0.367978 | + | 0.461429i | ||||
\(914\) | −97.6670 | − | 47.0340i | −0.106857 | − | 0.0514595i | ||||
\(915\) | −270.514 | + | 61.7430i | −0.295644 | + | 0.0674787i | ||||
\(916\) | 114.066 | + | 143.035i | 0.124527 | + | 0.156151i | ||||
\(917\) | −3.11840 | − | 13.6626i | −0.00340065 | − | 0.0148992i | ||||
\(918\) | 597.908 | − | 287.937i | 0.651316 | − | 0.313657i | ||||
\(919\) | 234.326 | − | 293.835i | 0.254979 | − | 0.319734i | −0.637823 | − | 0.770183i | \(-0.720165\pi\) |
0.892802 | + | 0.450449i | \(0.148736\pi\) | |||||||
\(920\) | 117.836 | − | 147.762i | 0.128083 | − | 0.160611i | ||||
\(921\) | −550.508 | − | 125.650i | −0.597729 | − | 0.136428i | ||||
\(922\) | −205.694 | − | 427.127i | −0.223095 | − | 0.463262i | ||||
\(923\) | −188.437 | + | 391.293i | −0.204157 | + | 0.423936i | ||||
\(924\) | −6.00091 | + | 26.2917i | −0.00649449 | + | 0.0284542i | ||||
\(925\) | 573.974 | + | 131.006i | 0.620513 | + | 0.141628i | ||||
\(926\) | −605.958 | − | 291.814i | −0.654382 | − | 0.315134i | ||||
\(927\) | −965.375 | + | 464.900i | −1.04140 | + | 0.501510i | ||||
\(928\) | −233.472 | + | 1022.91i | −0.251587 | + | 1.10227i | ||||
\(929\) | −420.046 | − | 334.975i | −0.452148 | − | 0.360576i | 0.370781 | − | 0.928720i | \(-0.379090\pi\) |
−0.822929 | + | 0.568144i | \(0.807662\pi\) | |||||||
\(930\) | −17.8217 | − | 14.2123i | −0.0191631 | − | 0.0152820i | ||||
\(931\) | −563.889 | − | 1170.93i | −0.605681 | − | 1.25771i | ||||
\(932\) | 236.307 | − | 53.9356i | 0.253548 | − | 0.0578708i | ||||
\(933\) | −172.183 | + | 137.312i | −0.184548 | + | 0.147172i | ||||
\(934\) | 63.9398 | + | 280.139i | 0.0684580 | + | 0.299934i | ||||
\(935\) | 56.7255 | − | 117.792i | 0.0606690 | − | 0.125980i | ||||
\(936\) | −1580.92 | − | 1260.75i | −1.68902 | − | 1.34695i | ||||
\(937\) | 378.289 | − | 785.526i | 0.403724 | − | 0.838342i | −0.595660 | − | 0.803237i | \(-0.703109\pi\) |
0.999384 | − | 0.0351047i | \(-0.0111765\pi\) | |||||||
\(938\) | 6.50821 | + | 8.16104i | 0.00693839 | + | 0.00870047i | ||||
\(939\) | −369.945 | −0.393977 | ||||||||
\(940\) | − | 43.0625i | − | 0.0458111i | ||||||
\(941\) | −276.222 | − | 346.372i | −0.293541 | − | 0.368089i | 0.613090 | − | 0.790013i | \(-0.289926\pi\) |
−0.906631 | + | 0.421924i | \(0.861355\pi\) | |||||||
\(942\) | −397.330 | − | 825.064i | −0.421794 | − | 0.875864i | ||||
\(943\) | −355.681 | + | 1558.34i | −0.377181 | + | 1.65254i | ||||
\(944\) | 139.291 | + | 610.273i | 0.147554 | + | 0.646476i | ||||
\(945\) | 11.0286i | 0.0116705i | ||||||||
\(946\) | −117.427 | + | 168.054i | −0.124130 | + | 0.177646i | ||||
\(947\) | 765.005 | 0.807819 | 0.403910 | − | 0.914799i | \(-0.367651\pi\) | ||||
0.403910 | + | 0.914799i | \(0.367651\pi\) | |||||||
\(948\) | 1252.79 | − | 285.940i | 1.32150 | − | 0.301625i | ||||
\(949\) | −1836.61 | − | 419.194i | −1.93531 | − | 0.441722i | ||||
\(950\) | −495.093 | + | 238.424i | −0.521151 | + | 0.250973i | ||||
\(951\) | −1271.23 | + | 1013.77i | −1.33673 | + | 1.06601i | ||||
\(952\) | −42.4222 | −0.0445612 | ||||||||
\(953\) | 38.7778i | 0.0406903i | 0.999793 | + | 0.0203451i | \(0.00647650\pi\) | ||||
−0.999793 | + | 0.0203451i | \(0.993523\pi\) | |||||||
\(954\) | −683.979 | + | 545.455i | −0.716960 | + | 0.571756i | ||||
\(955\) | 110.203 | + | 53.0709i | 0.115396 | + | 0.0555716i | ||||
\(956\) | 889.346 | − | 1115.20i | 0.930279 | − | 1.16653i | ||||
\(957\) | −819.265 | − | 394.537i | −0.856076 | − | 0.412264i | ||||
\(958\) | 138.921 | − | 31.7078i | 0.145012 | − | 0.0330980i | ||||
\(959\) | 27.6809 | + | 34.7108i | 0.0288644 | + | 0.0361948i | ||||
\(960\) | 3.28818 | + | 14.4065i | 0.00342519 | + | 0.0150067i | ||||
\(961\) | 843.668 | − | 406.289i | 0.877906 | − | 0.422777i | ||||
\(962\) | 270.203 | − | 338.824i | 0.280876 | − | 0.352208i | ||||
\(963\) | 136.425 | − | 171.072i | 0.141667 | − | 0.177645i | ||||
\(964\) | 534.726 | + | 122.048i | 0.554695 | + | 0.126606i | ||||
\(965\) | −0.790722 | − | 1.64195i | −0.000819401 | − | 0.00170150i | ||||
\(966\) | 16.0394 | − | 33.3062i | 0.0166040 | − | 0.0344785i | ||||
\(967\) | −126.429 | + | 553.921i | −0.130743 | + | 0.572824i | 0.866536 | + | 0.499114i | \(0.166341\pi\) |
−0.997280 | + | 0.0737103i | \(0.976516\pi\) | |||||||
\(968\) | −555.483 | − | 126.785i | −0.573846 | − | 0.130977i | ||||
\(969\) | 2667.19 | + | 1284.45i | 2.75252 | + | 1.32554i | ||||
\(970\) | −29.7790 | + | 14.3408i | −0.0307000 | + | 0.0147844i | ||||
\(971\) | 148.447 | − | 650.391i | 0.152881 | − | 0.669815i | −0.839158 | − | 0.543887i | \(-0.816952\pi\) |
0.992039 | − | 0.125928i | \(-0.0401909\pi\) | |||||||
\(972\) | 427.353 | + | 340.803i | 0.439664 | + | 0.350620i | ||||
\(973\) | −6.50294 | − | 5.18592i | −0.00668340 | − | 0.00532983i | ||||
\(974\) | 143.425 | + | 297.825i | 0.147253 | + | 0.305775i | ||||
\(975\) | 2353.68 | − | 537.211i | 2.41403 | − | 0.550986i | ||||
\(976\) | −308.997 | + | 246.417i | −0.316595 | + | 0.252476i | ||||
\(977\) | 39.7516 | + | 174.163i | 0.0406874 | + | 0.178263i | 0.991189 | − | 0.132458i | \(-0.0422868\pi\) |
−0.950501 | + | 0.310721i | \(0.899430\pi\) | |||||||
\(978\) | −267.312 | + | 555.079i | −0.273325 | + | 0.567565i | ||||
\(979\) | 132.319 | + | 105.521i | 0.135157 | + | 0.107784i | ||||
\(980\) | −73.3389 | + | 152.290i | −0.0748356 | + | 0.155398i | ||||
\(981\) | 996.909 | + | 1250.08i | 1.01622 | + | 1.27430i | ||||
\(982\) | −15.4447 | −0.0157278 | ||||||||
\(983\) | 448.952i | 0.456716i | 0.973577 | + | 0.228358i | \(0.0733356\pi\) | ||||
−0.973577 | + | 0.228358i | \(0.926664\pi\) | |||||||
\(984\) | 1103.46 | + | 1383.70i | 1.12141 | + | 1.40620i | ||||
\(985\) | −164.912 | − | 342.444i | −0.167424 | − | 0.347658i | ||||
\(986\) | 142.670 | − | 625.077i | 0.144695 | − | 0.633952i | ||||
\(987\) | −4.18154 | − | 18.3205i | −0.00423662 | − | 0.0185618i | ||||
\(988\) | − | 1751.03i | − | 1.77230i | ||||||
\(989\) | −901.236 | + | 817.165i | −0.911260 | + | 0.826254i | ||||
\(990\) | 80.5045 | 0.0813177 | ||||||||
\(991\) | −23.2361 | + | 5.30348i | −0.0234471 | + | 0.00535165i | −0.234228 | − | 0.972182i | \(-0.575256\pi\) |
0.210781 | + | 0.977533i | \(0.432399\pi\) | |||||||
\(992\) | −153.134 | − | 34.9519i | −0.154369 | − | 0.0352338i | ||||
\(993\) | 1129.12 | − | 543.754i | 1.13708 | − | 0.547587i | ||||
\(994\) | −4.38648 | + | 3.49810i | −0.00441296 | + | 0.00351922i | ||||
\(995\) | −267.311 | −0.268654 | ||||||||
\(996\) | 1586.88i | 1.59325i | ||||||||
\(997\) | 159.486 | − | 127.186i | 0.159966 | − | 0.127569i | −0.540235 | − | 0.841514i | \(-0.681665\pi\) |
0.700202 | + | 0.713945i | \(0.253093\pi\) | |||||||
\(998\) | 89.4337 | + | 43.0690i | 0.0896130 | + | 0.0431553i | ||||
\(999\) | 527.361 | − | 661.289i | 0.527889 | − | 0.661951i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 43.3.f.a.27.3 | yes | 42 | |
3.2 | odd | 2 | 387.3.w.b.199.5 | 42 | |||
43.8 | odd | 14 | inner | 43.3.f.a.8.3 | ✓ | 42 | |
129.8 | even | 14 | 387.3.w.b.352.5 | 42 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.3.f.a.8.3 | ✓ | 42 | 43.8 | odd | 14 | inner | |
43.3.f.a.27.3 | yes | 42 | 1.1 | even | 1 | trivial | |
387.3.w.b.199.5 | 42 | 3.2 | odd | 2 | |||
387.3.w.b.352.5 | 42 | 129.8 | even | 14 |