Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [731,2,Mod(3,731)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(731, base_ring=CyclotomicField(336))
chi = DirichletCharacter(H, H._module([21, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("731.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 731 = 17 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 731.bm (of order \(336\), degree \(96\), 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: | \(5.83706438776\) |
Analytic rank: | \(0\) |
Dimension: | \(6144\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{336})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{336}]$ |
Embedding invariants
Embedding label | 3.10 | ||
Character | \(\chi\) | \(=\) | 731.3 |
Dual form | 731.2.bm.a.244.10 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).
\(n\) | \(173\) | \(562\) |
\(\chi(n)\) | \(e\left(\frac{1}{16}\right)\) | \(e\left(\frac{1}{42}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.123196 | + | 2.19370i | −0.0871126 | + | 1.55118i | 0.585183 | + | 0.810901i | \(0.301022\pi\) |
−0.672296 | + | 0.740282i | \(0.734692\pi\) | |||||||
\(3\) | −2.12773 | − | 0.591500i | −1.22845 | − | 0.341503i | −0.407869 | − | 0.913040i | \(-0.633728\pi\) |
−0.820576 | + | 0.571538i | \(0.806347\pi\) | |||||||
\(4\) | −2.80974 | − | 0.316581i | −1.40487 | − | 0.158291i | ||||
\(5\) | 3.31407 | − | 0.988418i | 1.48210 | − | 0.442034i | 0.559838 | − | 0.828602i | \(-0.310863\pi\) |
0.922261 | + | 0.386568i | \(0.126340\pi\) | |||||||
\(6\) | 1.55970 | − | 4.59474i | 0.636746 | − | 1.87579i | ||||
\(7\) | −0.0369461 | + | 0.563689i | −0.0139643 | + | 0.213054i | 0.985174 | + | 0.171557i | \(0.0548796\pi\) |
−0.999139 | + | 0.0414978i | \(0.986787\pi\) | |||||||
\(8\) | 0.304558 | − | 1.79250i | 0.107677 | − | 0.633744i | ||||
\(9\) | 1.60779 | + | 0.968786i | 0.535929 | + | 0.322929i | ||||
\(10\) | 1.76002 | + | 7.39187i | 0.556566 | + | 2.33751i | ||||
\(11\) | −4.83787 | − | 2.49930i | −1.45867 | − | 0.753568i | −0.467233 | − | 0.884134i | \(-0.654749\pi\) |
−0.991440 | + | 0.130567i | \(0.958320\pi\) | |||||||
\(12\) | 5.79110 | + | 2.33556i | 1.67175 | + | 0.674218i | ||||
\(13\) | 3.74548 | + | 0.140146i | 1.03881 | + | 0.0388695i | 0.551348 | − | 0.834276i | \(-0.314114\pi\) |
0.487460 | + | 0.873145i | \(0.337923\pi\) | |||||||
\(14\) | −1.23202 | − | 0.150493i | −0.329270 | − | 0.0402209i | ||||
\(15\) | −7.63610 | + | 0.142811i | −1.97163 | + | 0.0368737i | ||||
\(16\) | −1.61856 | − | 0.369425i | −0.404640 | − | 0.0923563i | ||||
\(17\) | −0.200151 | − | 4.11824i | −0.0485437 | − | 0.998821i | ||||
\(18\) | −2.32330 | + | 3.40766i | −0.547608 | + | 0.803193i | ||||
\(19\) | −2.02916 | − | 3.36756i | −0.465520 | − | 0.772572i | 0.531712 | − | 0.846925i | \(-0.321549\pi\) |
−0.997232 | + | 0.0743530i | \(0.976311\pi\) | |||||||
\(20\) | −9.62459 | + | 1.72802i | −2.15212 | + | 0.386397i | ||||
\(21\) | 0.412033 | − | 1.17752i | 0.0899130 | − | 0.256957i | ||||
\(22\) | 6.07873 | − | 10.3049i | 1.29599 | − | 2.19702i | ||||
\(23\) | −2.87987 | − | 4.48955i | −0.600494 | − | 0.936135i | −0.999813 | − | 0.0193232i | \(-0.993849\pi\) |
0.399320 | − | 0.916812i | \(-0.369246\pi\) | |||||||
\(24\) | −1.70828 | + | 3.63381i | −0.348701 | + | 0.741748i | ||||
\(25\) | 5.82297 | − | 3.81252i | 1.16459 | − | 0.762504i | ||||
\(26\) | −0.768865 | + | 8.19920i | −0.150787 | + | 1.60800i | ||||
\(27\) | 1.70363 | + | 1.80199i | 0.327863 | + | 0.346792i | ||||
\(28\) | 0.282262 | − | 1.57212i | 0.0533426 | − | 0.297103i | ||||
\(29\) | −0.0421202 | + | 0.0329502i | −0.00782153 | + | 0.00611870i | −0.620056 | − | 0.784558i | \(-0.712890\pi\) |
0.612234 | + | 0.790676i | \(0.290271\pi\) | |||||||
\(30\) | 0.627450 | − | 16.7689i | 0.114556 | − | 3.06158i | ||||
\(31\) | 0.574562 | + | 1.35124i | 0.103194 | + | 0.242690i | 0.963823 | − | 0.266543i | \(-0.0858815\pi\) |
−0.860629 | + | 0.509233i | \(0.829929\pi\) | |||||||
\(32\) | 2.01649 | − | 6.99938i | 0.356468 | − | 1.23733i | ||||
\(33\) | 8.81534 | + | 8.17944i | 1.53455 | + | 1.42386i | ||||
\(34\) | 9.05887 | + | 0.0682791i | 1.55358 | + | 0.0117098i | ||||
\(35\) | 0.434718 | + | 1.90462i | 0.0734808 | + | 0.321940i | ||||
\(36\) | −4.21076 | − | 3.23103i | −0.701793 | − | 0.538505i | ||||
\(37\) | −8.18224 | − | 7.17563i | −1.34515 | − | 1.17967i | −0.967251 | − | 0.253821i | \(-0.918313\pi\) |
−0.377901 | − | 0.925846i | \(-0.623354\pi\) | |||||||
\(38\) | 7.63743 | − | 4.03650i | 1.23895 | − | 0.654806i | ||||
\(39\) | −7.88646 | − | 2.51364i | −1.26284 | − | 0.402505i | ||||
\(40\) | −0.762411 | − | 6.24150i | −0.120548 | − | 0.986868i | ||||
\(41\) | 4.51152 | − | 2.66127i | 0.704580 | − | 0.415621i | −0.111343 | − | 0.993782i | \(-0.535515\pi\) |
0.815923 | + | 0.578161i | \(0.196229\pi\) | |||||||
\(42\) | 2.53238 | + | 1.04895i | 0.390754 | + | 0.161856i | ||||
\(43\) | 5.76958 | − | 3.11639i | 0.879853 | − | 0.475245i | ||||
\(44\) | 12.8019 | + | 8.55396i | 1.92996 | + | 1.28956i | ||||
\(45\) | 6.28589 | + | 1.62146i | 0.937045 | + | 0.241713i | ||||
\(46\) | 10.2035 | − | 5.76448i | 1.50443 | − | 0.849927i | ||||
\(47\) | −0.137762 | + | 1.22267i | −0.0200946 | + | 0.178344i | −0.999750 | − | 0.0223405i | \(-0.992888\pi\) |
0.979656 | + | 0.200685i | \(0.0643168\pi\) | |||||||
\(48\) | 3.22534 | + | 1.74341i | 0.465538 | + | 0.251640i | ||||
\(49\) | 6.62373 | + | 0.872031i | 0.946248 | + | 0.124576i | ||||
\(50\) | 7.64618 | + | 13.2436i | 1.08133 | + | 1.87292i | ||||
\(51\) | −2.01008 | + | 8.88090i | −0.281467 | + | 1.24357i | ||||
\(52\) | −10.4794 | − | 1.57952i | −1.45324 | − | 0.219040i | ||||
\(53\) | 3.79814 | + | 1.40928i | 0.521715 | + | 0.193580i | 0.594992 | − | 0.803732i | \(-0.297155\pi\) |
−0.0732770 | + | 0.997312i | \(0.523346\pi\) | |||||||
\(54\) | −4.16291 | + | 3.51526i | −0.566500 | + | 0.478366i | ||||
\(55\) | −18.5034 | − | 3.50103i | −2.49500 | − | 0.472079i | ||||
\(56\) | 0.999159 | + | 0.237902i | 0.133518 | + | 0.0317909i | ||||
\(57\) | 2.32558 | + | 8.36551i | 0.308030 | + | 1.10804i | ||||
\(58\) | −0.0670940 | − | 0.0964586i | −0.00880987 | − | 0.0126656i | ||||
\(59\) | −2.48351 | − | 1.76214i | −0.323325 | − | 0.229411i | 0.405526 | − | 0.914083i | \(-0.367088\pi\) |
−0.728851 | + | 0.684672i | \(0.759945\pi\) | |||||||
\(60\) | 21.5007 | + | 2.01619i | 2.77572 | + | 0.260288i | ||||
\(61\) | −11.0768 | + | 4.46729i | −1.41824 | + | 0.571978i | −0.950175 | − | 0.311717i | \(-0.899096\pi\) |
−0.468064 | + | 0.883695i | \(0.655048\pi\) | |||||||
\(62\) | −3.03500 | + | 1.09395i | −0.385446 | + | 0.138932i | ||||
\(63\) | −0.605495 | + | 0.870499i | −0.0762852 | + | 0.109673i | ||||
\(64\) | 11.9721 | + | 4.18923i | 1.49651 | + | 0.523653i | ||||
\(65\) | 12.5513 | − | 3.23764i | 1.55680 | − | 0.401580i | ||||
\(66\) | −19.0293 | + | 18.3306i | −2.34234 | + | 2.25634i | ||||
\(67\) | 0.421477 | + | 2.79632i | 0.0514916 | + | 0.341625i | 0.999712 | + | 0.0240106i | \(0.00764354\pi\) |
−0.948220 | + | 0.317614i | \(0.897118\pi\) | |||||||
\(68\) | −0.741389 | + | 11.6346i | −0.0899066 | + | 1.41090i | ||||
\(69\) | 3.47201 | + | 11.2560i | 0.417981 | + | 1.35506i | ||||
\(70\) | −4.23174 | + | 0.719001i | −0.505789 | + | 0.0859371i | ||||
\(71\) | −1.15166 | − | 0.738742i | −0.136676 | − | 0.0876725i | 0.469805 | − | 0.882770i | \(-0.344324\pi\) |
−0.606481 | + | 0.795098i | \(0.707420\pi\) | |||||||
\(72\) | 2.22621 | − | 2.58690i | 0.262362 | − | 0.304870i | ||||
\(73\) | −1.49399 | + | 6.27459i | −0.174858 | + | 0.734385i | 0.813414 | + | 0.581685i | \(0.197606\pi\) |
−0.988273 | + | 0.152700i | \(0.951203\pi\) | |||||||
\(74\) | 16.7492 | − | 17.0654i | 1.94706 | − | 1.98381i | ||||
\(75\) | −14.6448 | + | 4.66772i | −1.69104 | + | 0.538982i | ||||
\(76\) | 4.63529 | + | 10.1044i | 0.531704 | + | 1.15905i | ||||
\(77\) | 1.58757 | − | 2.63471i | 0.180920 | − | 0.300253i | ||||
\(78\) | 6.48577 | − | 16.9909i | 0.734368 | − | 1.92384i | ||||
\(79\) | 6.33628 | − | 5.55677i | 0.712888 | − | 0.625186i | −0.224093 | − | 0.974568i | \(-0.571942\pi\) |
0.936980 | + | 0.349382i | \(0.113608\pi\) | |||||||
\(80\) | −5.72917 | + | 0.375509i | −0.640540 | + | 0.0419832i | ||||
\(81\) | −5.19032 | − | 9.82057i | −0.576702 | − | 1.09117i | ||||
\(82\) | 5.28225 | + | 10.2248i | 0.583327 | + | 1.12914i | ||||
\(83\) | 17.0258 | − | 5.60249i | 1.86882 | − | 0.614954i | 0.878205 | − | 0.478285i | \(-0.158742\pi\) |
0.990617 | − | 0.136668i | \(-0.0436394\pi\) | |||||||
\(84\) | −1.53049 | + | 3.17809i | −0.166990 | + | 0.346758i | ||||
\(85\) | −4.73386 | − | 13.4503i | −0.513459 | − | 1.45889i | ||||
\(86\) | 6.12565 | + | 13.0407i | 0.660546 | + | 1.40621i | ||||
\(87\) | 0.109110 | − | 0.0451950i | 0.0116979 | − | 0.00484542i | ||||
\(88\) | −5.95340 | + | 7.91069i | −0.634635 | + | 0.843282i | ||||
\(89\) | 3.26994 | − | 2.81401i | 0.346613 | − | 0.298284i | −0.461702 | − | 0.887035i | \(-0.652761\pi\) |
0.808315 | + | 0.588751i | \(0.200380\pi\) | |||||||
\(90\) | −4.33140 | + | 13.5896i | −0.456570 | + | 1.43247i | ||||
\(91\) | −0.217379 | + | 2.10610i | −0.0227876 | + | 0.220780i | ||||
\(92\) | 6.67036 | + | 13.5262i | 0.695433 | + | 1.41020i | ||||
\(93\) | −0.423253 | − | 3.21493i | −0.0438893 | − | 0.333372i | ||||
\(94\) | −2.66520 | − | 0.452836i | −0.274894 | − | 0.0467064i | ||||
\(95\) | −10.0533 | − | 9.15470i | −1.03145 | − | 0.939253i | ||||
\(96\) | −8.43068 | + | 13.7000i | −0.860452 | + | 1.39825i | ||||
\(97\) | 1.24331 | − | 14.7401i | 0.126239 | − | 1.49663i | −0.594876 | − | 0.803818i | \(-0.702799\pi\) |
0.721115 | − | 0.692815i | \(-0.243630\pi\) | |||||||
\(98\) | −2.72899 | + | 14.4231i | −0.275670 | + | 1.45695i | ||||
\(99\) | −5.35697 | − | 8.70520i | −0.538396 | − | 0.874906i | ||||
\(100\) | −17.5680 | + | 8.86874i | −1.75680 | + | 0.886874i | ||||
\(101\) | 11.2735 | + | 4.42453i | 1.12176 | + | 0.440257i | 0.852456 | − | 0.522798i | \(-0.175112\pi\) |
0.269301 | + | 0.963056i | \(0.413207\pi\) | |||||||
\(102\) | −19.2344 | − | 5.50360i | −1.90449 | − | 0.544938i | ||||
\(103\) | −13.2006 | + | 4.07185i | −1.30069 | + | 0.401211i | −0.866306 | − | 0.499514i | \(-0.833512\pi\) |
−0.434389 | + | 0.900725i | \(0.643036\pi\) | |||||||
\(104\) | 1.39192 | − | 6.67108i | 0.136489 | − | 0.654153i | ||||
\(105\) | 0.201623 | − | 4.30966i | 0.0196764 | − | 0.420580i | ||||
\(106\) | −3.55947 | + | 8.15838i | −0.345726 | + | 0.792412i | ||||
\(107\) | −8.36780 | − | 4.93604i | −0.808946 | − | 0.477185i | 0.0440961 | − | 0.999027i | \(-0.485959\pi\) |
−0.853042 | + | 0.521842i | \(0.825245\pi\) | |||||||
\(108\) | −4.21627 | − | 5.60245i | −0.405711 | − | 0.539096i | ||||
\(109\) | −1.77944 | − | 0.388678i | −0.170440 | − | 0.0372286i | 0.127363 | − | 0.991856i | \(-0.459349\pi\) |
−0.297802 | + | 0.954628i | \(0.596254\pi\) | |||||||
\(110\) | 9.95977 | − | 40.1597i | 0.949627 | − | 3.82908i | ||||
\(111\) | 13.1652 | + | 20.1076i | 1.24959 | + | 1.90853i | ||||
\(112\) | 0.268040 | − | 0.898714i | 0.0253274 | − | 0.0849205i | ||||
\(113\) | 0.307850 | − | 10.9722i | 0.0289601 | − | 1.03218i | −0.841595 | − | 0.540108i | \(-0.818383\pi\) |
0.870556 | − | 0.492070i | \(-0.163760\pi\) | |||||||
\(114\) | −18.6380 | + | 4.07104i | −1.74561 | + | 0.381287i | ||||
\(115\) | −13.9816 | − | 12.0322i | −1.30379 | − | 1.12201i | ||||
\(116\) | 0.128778 | − | 0.0792470i | 0.0119568 | − | 0.00735790i | ||||
\(117\) | 5.88616 | + | 3.85389i | 0.544175 | + | 0.356292i | ||||
\(118\) | 4.17158 | − | 5.23099i | 0.384025 | − | 0.481552i | ||||
\(119\) | 2.32880 | + | 0.0393305i | 0.213481 | + | 0.00360542i | ||||
\(120\) | −2.06964 | + | 13.7312i | −0.188932 | + | 1.25348i | ||||
\(121\) | 10.7931 | + | 15.2114i | 0.981189 | + | 1.38286i | ||||
\(122\) | −8.43530 | − | 24.8496i | −0.763696 | − | 2.24978i | ||||
\(123\) | −11.1734 | + | 2.99391i | −1.00747 | + | 0.269952i | ||||
\(124\) | −1.18659 | − | 3.97853i | −0.106559 | − | 0.357282i | ||||
\(125\) | 4.37330 | − | 5.17903i | 0.391160 | − | 0.463227i | ||||
\(126\) | −1.83502 | − | 1.43552i | −0.163477 | − | 0.127886i | ||||
\(127\) | −4.14785 | + | 3.70674i | −0.368062 | + | 0.328920i | −0.829764 | − | 0.558115i | \(-0.811525\pi\) |
0.461702 | + | 0.887035i | \(0.347239\pi\) | |||||||
\(128\) | −5.08986 | + | 12.2880i | −0.449884 | + | 1.08612i | ||||
\(129\) | −14.1195 | + | 3.21813i | −1.24315 | + | 0.283340i | ||||
\(130\) | 5.55616 | + | 27.9327i | 0.487308 | + | 2.44986i | ||||
\(131\) | −0.0557914 | − | 0.395189i | −0.00487452 | − | 0.0345278i | 0.987593 | − | 0.157033i | \(-0.0501929\pi\) |
−0.992468 | + | 0.122505i | \(0.960907\pi\) | |||||||
\(132\) | −22.1793 | − | 25.7728i | −1.93046 | − | 2.24324i | ||||
\(133\) | 1.97323 | − | 1.01939i | 0.171101 | − | 0.0883926i | ||||
\(134\) | −6.18622 | + | 0.580102i | −0.534408 | + | 0.0501132i | ||||
\(135\) | 7.42706 | + | 4.28802i | 0.639220 | + | 0.369054i | ||||
\(136\) | −7.44290 | − | 0.895474i | −0.638224 | − | 0.0767862i | ||||
\(137\) | −18.0422 | + | 4.11802i | −1.54145 | + | 0.351827i | −0.906999 | − | 0.421134i | \(-0.861632\pi\) |
−0.634454 | + | 0.772960i | \(0.718775\pi\) | |||||||
\(138\) | −25.1200 | + | 6.22987i | −2.13836 | + | 0.530322i | ||||
\(139\) | 6.13543 | + | 8.47798i | 0.520400 | + | 0.719093i | 0.986156 | − | 0.165820i | \(-0.0530271\pi\) |
−0.465756 | + | 0.884913i | \(0.654218\pi\) | |||||||
\(140\) | −0.618475 | − | 5.48912i | −0.0522707 | − | 0.463915i | ||||
\(141\) | 1.01633 | − | 2.52002i | 0.0855902 | − | 0.212224i | ||||
\(142\) | 1.76246 | − | 2.43538i | 0.147902 | − | 0.204373i | ||||
\(143\) | −17.7699 | − | 10.0391i | −1.48599 | − | 0.839510i | ||||
\(144\) | −2.24440 | − | 2.16199i | −0.187034 | − | 0.180166i | ||||
\(145\) | −0.107021 | + | 0.150832i | −0.00888760 | + | 0.0125259i | ||||
\(146\) | −13.5805 | − | 4.05038i | −1.12393 | − | 0.335212i | ||||
\(147\) | −13.5777 | − | 5.77339i | −1.11987 | − | 0.476181i | ||||
\(148\) | 20.7183 | + | 22.7520i | 1.70303 | + | 1.87020i | ||||
\(149\) | 1.52628 | + | 0.665910i | 0.125038 | + | 0.0545535i | 0.461480 | − | 0.887151i | \(-0.347319\pi\) |
−0.336442 | + | 0.941704i | \(0.609224\pi\) | |||||||
\(150\) | −8.43542 | − | 32.7014i | −0.688750 | − | 2.67006i | ||||
\(151\) | 10.4745 | − | 11.7210i | 0.852406 | − | 0.953842i | −0.146971 | − | 0.989141i | \(-0.546952\pi\) |
0.999377 | + | 0.0352984i | \(0.0112382\pi\) | |||||||
\(152\) | −6.65435 | + | 2.61164i | −0.539739 | + | 0.211832i | ||||
\(153\) | 3.66790 | − | 6.81516i | 0.296532 | − | 0.550973i | ||||
\(154\) | 5.58420 | + | 3.80724i | 0.449988 | + | 0.306796i | ||||
\(155\) | 3.23973 | + | 3.91020i | 0.260221 | + | 0.314075i | ||||
\(156\) | 21.3631 | + | 9.55938i | 1.71042 | + | 0.765363i | ||||
\(157\) | −15.1530 | + | 6.61120i | −1.20934 | + | 0.527631i | −0.905196 | − | 0.424994i | \(-0.860276\pi\) |
−0.304148 | + | 0.952625i | \(0.598372\pi\) | |||||||
\(158\) | 11.4093 | + | 14.5845i | 0.907676 | + | 1.16028i | ||||
\(159\) | −7.24783 | − | 5.24517i | −0.574790 | − | 0.415969i | ||||
\(160\) | −0.235529 | − | 25.1896i | −0.0186202 | − | 1.99141i | ||||
\(161\) | 2.63711 | − | 1.45748i | 0.207833 | − | 0.114865i | ||||
\(162\) | 22.1829 | − | 10.1762i | 1.74285 | − | 0.799516i | ||||
\(163\) | −6.32720 | + | 6.94828i | −0.495585 | + | 0.544231i | −0.935277 | − | 0.353917i | \(-0.884849\pi\) |
0.439692 | + | 0.898149i | \(0.355088\pi\) | |||||||
\(164\) | −13.5187 | + | 6.04922i | −1.05563 | + | 0.472365i | ||||
\(165\) | 37.2994 | + | 18.3940i | 2.90375 | + | 1.43197i | ||||
\(166\) | 10.1927 | + | 38.0397i | 0.791108 | + | 2.95245i | ||||
\(167\) | 7.27295 | − | 13.4550i | 0.562798 | − | 1.04118i | −0.427735 | − | 0.903904i | \(-0.640688\pi\) |
0.990532 | − | 0.137279i | \(-0.0438355\pi\) | |||||||
\(168\) | −1.98522 | − | 1.09719i | −0.153163 | − | 0.0846503i | ||||
\(169\) | 1.04530 | + | 0.0783342i | 0.0804075 | + | 0.00602571i | ||||
\(170\) | 30.0892 | − | 8.72767i | 2.30774 | − | 0.669382i | ||||
\(171\) | − | 7.38014i | − | 0.564374i | ||||||
\(172\) | −17.1976 | + | 6.92970i | −1.31131 | + | 0.528385i | ||||
\(173\) | −0.795091 | − | 0.158153i | −0.0604497 | − | 0.0120242i | 0.164773 | − | 0.986332i | \(-0.447311\pi\) |
−0.225222 | + | 0.974307i | \(0.572311\pi\) | |||||||
\(174\) | 0.0857026 | + | 0.244924i | 0.00649710 | + | 0.0185676i | ||||
\(175\) | 1.93394 | + | 3.42320i | 0.146192 | + | 0.258770i | ||||
\(176\) | 6.90707 | + | 5.83250i | 0.520640 | + | 0.439641i | ||||
\(177\) | 4.24192 | + | 5.21836i | 0.318843 | + | 0.392236i | ||||
\(178\) | 5.77026 | + | 7.51995i | 0.432499 | + | 0.563644i | ||||
\(179\) | 8.89945 | − | 1.17163i | 0.665176 | − | 0.0875721i | 0.209625 | − | 0.977782i | \(-0.432776\pi\) |
0.455551 | + | 0.890210i | \(0.349442\pi\) | |||||||
\(180\) | −17.1484 | − | 6.54588i | −1.27816 | − | 0.487901i | ||||
\(181\) | 0.127352 | + | 2.72212i | 0.00946597 | + | 0.202334i | 0.998504 | + | 0.0546742i | \(0.0174120\pi\) |
−0.989038 | + | 0.147659i | \(0.952826\pi\) | |||||||
\(182\) | −4.59339 | − | 0.736329i | −0.340485 | − | 0.0545804i | ||||
\(183\) | 26.2108 | − | 2.95325i | 1.93756 | − | 0.218311i | ||||
\(184\) | −8.92459 | + | 3.79483i | −0.657929 | + | 0.279759i | ||||
\(185\) | −34.2091 | − | 15.6931i | −2.51510 | − | 1.15378i | ||||
\(186\) | 7.10474 | − | 0.532427i | 0.520945 | − | 0.0390394i | ||||
\(187\) | −9.32443 | + | 20.4238i | −0.681870 | + | 1.49353i | ||||
\(188\) | 0.774148 | − | 3.39176i | 0.0564605 | − | 0.247370i | ||||
\(189\) | −1.07870 | + | 0.893740i | −0.0784640 | + | 0.0650100i | ||||
\(190\) | 21.3212 | − | 20.9262i | 1.54681 | − | 1.51815i | ||||
\(191\) | −0.541640 | − | 0.399748i | −0.0391917 | − | 0.0289248i | 0.574048 | − | 0.818822i | \(-0.305372\pi\) |
−0.613240 | + | 0.789897i | \(0.710134\pi\) | |||||||
\(192\) | −22.9955 | − | 15.9950i | −1.65956 | − | 1.15434i | ||||
\(193\) | −21.4720 | + | 16.1593i | −1.54559 | + | 1.16317i | −0.620023 | + | 0.784583i | \(0.712877\pi\) |
−0.925564 | + | 0.378591i | \(0.876409\pi\) | |||||||
\(194\) | 32.1823 | + | 4.54339i | 2.31055 | + | 0.326196i | ||||
\(195\) | −28.6208 | − | 0.535271i | −2.04958 | − | 0.0383315i | ||||
\(196\) | −18.3349 | − | 4.54713i | −1.30963 | − | 0.324795i | ||||
\(197\) | −2.13510 | − | 5.29407i | −0.152120 | − | 0.377187i | 0.831979 | − | 0.554807i | \(-0.187208\pi\) |
−0.984099 | + | 0.177620i | \(0.943160\pi\) | |||||||
\(198\) | 19.7566 | − | 10.6792i | 1.40404 | − | 0.758936i | ||||
\(199\) | 5.48035 | − | 2.09196i | 0.388492 | − | 0.148295i | −0.154582 | − | 0.987980i | \(-0.549403\pi\) |
0.543074 | + | 0.839685i | \(0.317260\pi\) | |||||||
\(200\) | −5.06051 | − | 11.5988i | −0.357832 | − | 0.820159i | ||||
\(201\) | 0.757233 | − | 6.19911i | 0.0534111 | − | 0.437252i | ||||
\(202\) | −11.0950 | + | 24.1857i | −0.780639 | + | 1.70170i | ||||
\(203\) | −0.0170175 | − | 0.0249601i | −0.00119439 | − | 0.00175185i | ||||
\(204\) | 8.45931 | − | 24.3166i | 0.592270 | − | 1.70251i | ||||
\(205\) | 12.3210 | − | 13.2789i | 0.860539 | − | 0.927440i | ||||
\(206\) | −7.30617 | − | 29.4599i | −0.509045 | − | 2.05257i | ||||
\(207\) | −0.280803 | − | 10.0082i | −0.0195172 | − | 0.695618i | ||||
\(208\) | −6.01050 | − | 1.61051i | −0.416753 | − | 0.111669i | ||||
\(209\) | 1.40023 | + | 21.3633i | 0.0968556 | + | 1.47773i | ||||
\(210\) | 9.42928 | + | 0.973234i | 0.650682 | + | 0.0671595i | ||||
\(211\) | 1.83205 | + | 21.7199i | 0.126124 | + | 1.49526i | 0.721837 | + | 0.692063i | \(0.243298\pi\) |
−0.595714 | + | 0.803197i | \(0.703131\pi\) | |||||||
\(212\) | −10.2256 | − | 5.16214i | −0.702299 | − | 0.354537i | ||||
\(213\) | 2.01345 | + | 2.25305i | 0.137959 | + | 0.154376i | ||||
\(214\) | 11.8591 | − | 17.7484i | 0.810671 | − | 1.21325i | ||||
\(215\) | 16.0405 | − | 16.0307i | 1.09395 | − | 1.09329i | ||||
\(216\) | 3.74891 | − | 2.50494i | 0.255081 | − | 0.170440i | ||||
\(217\) | −0.782907 | + | 0.273951i | −0.0531472 | + | 0.0185970i | ||||
\(218\) | 1.07186 | − | 3.85569i | 0.0725958 | − | 0.261140i | ||||
\(219\) | 6.89023 | − | 12.4669i | 0.465598 | − | 0.842437i | ||||
\(220\) | 50.8814 | + | 15.6948i | 3.43042 | + | 1.05814i | ||||
\(221\) | −0.172505 | − | 15.4528i | −0.0116039 | − | 1.03947i | ||||
\(222\) | −45.7320 | + | 26.4034i | −3.06933 | + | 1.77208i | ||||
\(223\) | 13.5526 | − | 9.61609i | 0.907549 | − | 0.643941i | −0.0270533 | − | 0.999634i | \(-0.508612\pi\) |
0.934603 | + | 0.355693i | \(0.115755\pi\) | |||||||
\(224\) | 3.87097 | + | 1.39527i | 0.258640 | + | 0.0932255i | ||||
\(225\) | 13.0556 | − | 0.488507i | 0.870374 | − | 0.0325671i | ||||
\(226\) | 24.0319 | + | 2.02706i | 1.59858 | + | 0.134838i | ||||
\(227\) | −10.8864 | − | 10.6847i | −0.722553 | − | 0.709166i | 0.242811 | − | 0.970074i | \(-0.421931\pi\) |
−0.965364 | + | 0.260908i | \(0.915978\pi\) | |||||||
\(228\) | −3.88590 | − | 24.2411i | −0.257350 | − | 1.60541i | ||||
\(229\) | −20.7009 | − | 6.81182i | −1.36795 | − | 0.450137i | −0.467077 | − | 0.884217i | \(-0.654693\pi\) |
−0.900875 | + | 0.434079i | \(0.857074\pi\) | |||||||
\(230\) | 28.1175 | − | 29.1893i | 1.85401 | − | 1.92468i | ||||
\(231\) | −4.93635 | + | 4.66691i | −0.324788 | + | 0.307060i | ||||
\(232\) | 0.0462352 | + | 0.0855356i | 0.00303549 | + | 0.00561569i | ||||
\(233\) | 0.0869805 | − | 9.30248i | 0.00569829 | − | 0.609426i | −0.949549 | − | 0.313618i | \(-0.898459\pi\) |
0.955247 | − | 0.295808i | \(-0.0955888\pi\) | |||||||
\(234\) | −9.17944 | + | 12.4377i | −0.600079 | + | 0.813078i | ||||
\(235\) | 0.751955 | + | 4.18818i | 0.0490521 | + | 0.273207i | ||||
\(236\) | 6.42014 | + | 5.73739i | 0.417916 | + | 0.373472i | ||||
\(237\) | −16.7687 | + | 8.07540i | −1.08925 | + | 0.524553i | ||||
\(238\) | −0.373178 | + | 5.10386i | −0.0241896 | + | 0.330834i | ||||
\(239\) | −23.1984 | + | 3.49659i | −1.50058 | + | 0.226176i | −0.847370 | − | 0.531003i | \(-0.821815\pi\) |
−0.653208 | + | 0.757178i | \(0.726577\pi\) | |||||||
\(240\) | 12.4122 | + | 2.58982i | 0.801206 | + | 0.167172i | ||||
\(241\) | −0.485133 | − | 4.70026i | −0.0312501 | − | 0.302770i | −0.998754 | − | 0.0499126i | \(-0.984106\pi\) |
0.967503 | − | 0.252858i | \(-0.0813705\pi\) | |||||||
\(242\) | −34.6990 | + | 21.8028i | −2.23054 | + | 1.40154i | ||||
\(243\) | 3.64719 | + | 16.6975i | 0.233967 | + | 1.07114i | ||||
\(244\) | 32.5372 | − | 9.04520i | 2.08298 | − | 0.579060i | ||||
\(245\) | 22.8135 | − | 3.65704i | 1.45750 | − | 0.233640i | ||||
\(246\) | −5.19124 | − | 24.8800i | −0.330981 | − | 1.58629i | ||||
\(247\) | −7.12820 | − | 12.8975i | −0.453557 | − | 0.820649i | ||||
\(248\) | 2.59708 | − | 0.618370i | 0.164915 | − | 0.0392665i | ||||
\(249\) | −39.5401 | + | 1.84984i | −2.50575 | + | 0.117229i | ||||
\(250\) | 10.8225 | + | 10.2318i | 0.684475 | + | 0.647114i | ||||
\(251\) | −7.30745 | + | 27.2718i | −0.461242 | + | 1.72138i | 0.207815 | + | 0.978168i | \(0.433365\pi\) |
−0.669057 | + | 0.743211i | \(0.733302\pi\) | |||||||
\(252\) | 1.97687 | − | 2.25418i | 0.124531 | − | 0.142000i | ||||
\(253\) | 2.71169 | + | 28.9175i | 0.170482 | + | 1.81803i | ||||
\(254\) | −7.62050 | − | 9.55581i | −0.478153 | − | 0.599585i | ||||
\(255\) | 2.11650 | + | 31.4187i | 0.132541 | + | 1.96752i | ||||
\(256\) | −3.47360 | − | 1.67280i | −0.217100 | − | 0.104550i | ||||
\(257\) | 8.47401 | + | 20.4581i | 0.528594 | + | 1.27614i | 0.932444 | + | 0.361314i | \(0.117672\pi\) |
−0.403850 | + | 0.914825i | \(0.632328\pi\) | |||||||
\(258\) | −5.32017 | − | 31.3704i | −0.331219 | − | 1.95303i | ||||
\(259\) | 4.34713 | − | 4.34713i | 0.270117 | − | 0.270117i | ||||
\(260\) | −36.2909 | + | 5.12342i | −2.25066 | + | 0.317741i | ||||
\(261\) | −0.0996420 | + | 0.0121715i | −0.00616769 | + | 0.000753394i | ||||
\(262\) | 0.873802 | − | 0.0737043i | 0.0539837 | − | 0.00455347i | ||||
\(263\) | 11.6727 | + | 9.67124i | 0.719772 | + | 0.596354i | 0.923920 | − | 0.382585i | \(-0.124966\pi\) |
−0.204148 | + | 0.978940i | \(0.565442\pi\) | |||||||
\(264\) | 17.3464 | − | 13.3104i | 1.06760 | − | 0.819197i | ||||
\(265\) | 13.9803 | + | 0.916316i | 0.858802 | + | 0.0562888i | ||||
\(266\) | 1.99316 | + | 4.45426i | 0.122208 | + | 0.273108i | ||||
\(267\) | −8.62202 | + | 4.05328i | −0.527659 | + | 0.248057i | ||||
\(268\) | −0.298978 | − | 7.99035i | −0.0182630 | − | 0.488089i | ||||
\(269\) | 9.18522 | + | 10.8775i | 0.560033 | + | 0.663213i | 0.968341 | − | 0.249632i | \(-0.0803096\pi\) |
−0.408308 | + | 0.912844i | \(0.633881\pi\) | |||||||
\(270\) | −10.3216 | + | 15.7645i | −0.628154 | + | 0.959398i | ||||
\(271\) | 18.0561 | + | 19.4598i | 1.09683 | + | 1.18210i | 0.982033 | + | 0.188710i | \(0.0604305\pi\) |
0.114795 | + | 0.993389i | \(0.463379\pi\) | |||||||
\(272\) | −1.19743 | + | 6.73956i | −0.0726048 | + | 0.408646i | ||||
\(273\) | 1.70829 | − | 4.35264i | 0.103390 | − | 0.263434i | ||||
\(274\) | −6.81100 | − | 40.0867i | −0.411468 | − | 2.42172i | ||||
\(275\) | −37.6994 | + | 3.89111i | −2.27336 | + | 0.234642i | ||||
\(276\) | −6.19200 | − | 32.7255i | −0.372715 | − | 1.96985i | ||||
\(277\) | −1.31779 | + | 1.20000i | −0.0791782 | + | 0.0721008i | −0.711912 | − | 0.702268i | \(-0.752171\pi\) |
0.632734 | + | 0.774369i | \(0.281933\pi\) | |||||||
\(278\) | −19.3541 | + | 12.4149i | −1.16078 | + | 0.744594i | ||||
\(279\) | −0.385290 | + | 2.72913i | −0.0230667 | + | 0.163389i | ||||
\(280\) | 3.54643 | − | 0.199163i | 0.211940 | − | 0.0119023i | ||||
\(281\) | 0.0466486 | − | 2.49429i | 0.00278282 | − | 0.148797i | −0.995662 | − | 0.0930456i | \(-0.970340\pi\) |
0.998445 | − | 0.0557515i | \(-0.0177555\pi\) | |||||||
\(282\) | 5.40297 | + | 2.53998i | 0.321742 | + | 0.151254i | ||||
\(283\) | 3.21692 | − | 7.56549i | 0.191226 | − | 0.449721i | −0.796753 | − | 0.604305i | \(-0.793451\pi\) |
0.987980 | + | 0.154583i | \(0.0494034\pi\) | |||||||
\(284\) | 3.00198 | + | 2.44026i | 0.178135 | + | 0.144803i | ||||
\(285\) | 15.9758 | + | 25.4253i | 0.946322 | + | 1.50606i | ||||
\(286\) | 24.2119 | − | 37.7450i | 1.43168 | − | 2.23191i | ||||
\(287\) | 1.33345 | + | 2.64141i | 0.0787109 | + | 0.155918i | ||||
\(288\) | 10.0230 | − | 9.29997i | 0.590610 | − | 0.548006i | ||||
\(289\) | −16.9199 | + | 1.64854i | −0.995287 | + | 0.0969729i | ||||
\(290\) | −0.317696 | − | 0.253354i | −0.0186557 | − | 0.0148775i | ||||
\(291\) | −11.3642 | + | 30.6276i | −0.666183 | + | 1.79542i | ||||
\(292\) | 6.18414 | − | 17.1570i | 0.361899 | − | 1.00404i | ||||
\(293\) | −6.30577 | − | 3.96218i | −0.368387 | − | 0.231473i | 0.335097 | − | 0.942183i | \(-0.391231\pi\) |
−0.703485 | + | 0.710710i | \(0.748374\pi\) | |||||||
\(294\) | 14.3378 | − | 29.0742i | 0.836199 | − | 1.69564i | ||||
\(295\) | −9.97226 | − | 3.38513i | −0.580607 | − | 0.197090i | ||||
\(296\) | −15.3543 | + | 12.4813i | −0.892449 | + | 0.725458i | ||||
\(297\) | −3.73822 | − | 12.9757i | −0.216914 | − | 0.752924i | ||||
\(298\) | −1.64884 | + | 3.26617i | −0.0955148 | + | 0.189204i | ||||
\(299\) | −10.1573 | − | 17.2191i | −0.587411 | − | 0.995805i | ||||
\(300\) | 42.6258 | − | 8.47880i | 2.46100 | − | 0.489524i | ||||
\(301\) | 1.54351 | + | 3.36739i | 0.0889665 | + | 0.194093i | ||||
\(302\) | 24.4220 | + | 24.4220i | 1.40533 | + | 1.40533i | ||||
\(303\) | −21.3699 | − | 16.0825i | −1.22767 | − | 0.923916i | ||||
\(304\) | 2.04024 | + | 6.20022i | 0.117016 | + | 0.355607i | ||||
\(305\) | −32.2938 | + | 25.7534i | −1.84914 | + | 1.47464i | ||||
\(306\) | 14.4986 | + | 8.88588i | 0.828829 | + | 0.507972i | ||||
\(307\) | 5.78694 | − | 10.0233i | 0.330278 | − | 0.572058i | −0.652288 | − | 0.757971i | \(-0.726191\pi\) |
0.982566 | + | 0.185913i | \(0.0595242\pi\) | |||||||
\(308\) | −5.29475 | + | 6.90026i | −0.301697 | + | 0.393179i | ||||
\(309\) | 30.4958 | − | 0.855630i | 1.73485 | − | 0.0486751i | ||||
\(310\) | −8.97695 | + | 6.62529i | −0.509856 | + | 0.376291i | ||||
\(311\) | −0.704958 | + | 4.39769i | −0.0399745 | + | 0.249370i | −0.999477 | − | 0.0323291i | \(-0.989708\pi\) |
0.959503 | + | 0.281699i | \(0.0908980\pi\) | |||||||
\(312\) | −6.90758 | + | 13.3709i | −0.391065 | + | 0.756979i | ||||
\(313\) | 13.1337 | − | 0.122804i | 0.742362 | − | 0.00694127i | 0.362499 | − | 0.931984i | \(-0.381924\pi\) |
0.379863 | + | 0.925043i | \(0.375971\pi\) | |||||||
\(314\) | −12.6362 | − | 34.0558i | −0.713104 | − | 1.92188i | ||||
\(315\) | −1.14624 | + | 3.48338i | −0.0645833 | + | 0.196266i | ||||
\(316\) | −19.5625 | + | 13.6071i | −1.10047 | + | 0.765461i | ||||
\(317\) | −15.0174 | − | 0.421348i | −0.843462 | − | 0.0236653i | −0.396303 | − | 0.918120i | \(-0.629707\pi\) |
−0.447159 | + | 0.894455i | \(0.647564\pi\) | |||||||
\(318\) | 12.3993 | − | 15.2534i | 0.695316 | − | 0.855369i | ||||
\(319\) | 0.286125 | − | 0.0541377i | 0.0160199 | − | 0.00303113i | ||||
\(320\) | 43.8172 | + | 2.04994i | 2.44945 | + | 0.114595i | ||||
\(321\) | 14.8848 | + | 15.4521i | 0.830786 | + | 0.862453i | ||||
\(322\) | 2.87239 | + | 5.96459i | 0.160072 | + | 0.332393i | ||||
\(323\) | −13.4623 | + | 9.03058i | −0.749063 | + | 0.502475i | ||||
\(324\) | 11.4744 | + | 29.2364i | 0.637469 | + | 1.62424i | ||||
\(325\) | 22.3441 | − | 13.4636i | 1.23943 | − | 0.746828i | ||||
\(326\) | −14.4630 | − | 14.7360i | −0.801031 | − | 0.816152i | ||||
\(327\) | 3.55627 | + | 1.87954i | 0.196662 | + | 0.103939i | ||||
\(328\) | −3.39631 | − | 8.89740i | −0.187530 | − | 0.491276i | ||||
\(329\) | −0.684114 | − | 0.122827i | −0.0377164 | − | 0.00677170i | ||||
\(330\) | −44.9462 | + | 79.5577i | −2.47421 | + | 4.37951i | ||||
\(331\) | −26.4192 | + | 9.80274i | −1.45213 | + | 0.538807i | −0.946148 | − | 0.323735i | \(-0.895061\pi\) |
−0.505985 | + | 0.862542i | \(0.668871\pi\) | |||||||
\(332\) | −49.6116 | + | 10.3515i | −2.72279 | + | 0.568112i | ||||
\(333\) | −6.20365 | − | 19.4637i | −0.339958 | − | 1.06661i | ||||
\(334\) | 28.6204 | + | 17.6123i | 1.56604 | + | 0.963703i | ||||
\(335\) | 4.16074 | + | 8.85061i | 0.227325 | + | 0.483560i | ||||
\(336\) | −1.10191 | + | 1.75368i | −0.0601140 | + | 0.0956708i | ||||
\(337\) | 29.3864 | − | 9.97534i | 1.60078 | − | 0.543392i | 0.628620 | − | 0.777712i | \(-0.283620\pi\) |
0.972159 | + | 0.234321i | \(0.0752866\pi\) | |||||||
\(338\) | −0.300619 | + | 2.28342i | −0.0163515 | + | 0.124202i | ||||
\(339\) | −7.14509 | + | 23.1638i | −0.388068 | + | 1.25808i | ||||
\(340\) | 9.04278 | + | 39.2906i | 0.490414 | + | 2.13083i | ||||
\(341\) | 0.597503 | − | 7.97312i | 0.0323566 | − | 0.431769i | ||||
\(342\) | 16.1899 | + | 0.909203i | 0.875447 | + | 0.0491641i | ||||
\(343\) | −1.50772 | + | 7.57981i | −0.0814092 | + | 0.409271i | ||||
\(344\) | −3.82896 | − | 11.2911i | −0.206443 | − | 0.608775i | ||||
\(345\) | 22.6321 | + | 33.8713i | 1.21847 | + | 1.82357i | ||||
\(346\) | 0.444894 | − | 1.72471i | 0.0239176 | − | 0.0927211i | ||||
\(347\) | 5.13332 | − | 6.56191i | 0.275571 | − | 0.352262i | −0.629895 | − | 0.776680i | \(-0.716902\pi\) |
0.905466 | + | 0.424418i | \(0.139521\pi\) | |||||||
\(348\) | −0.320880 | + | 0.0924439i | −0.0172010 | + | 0.00495551i | ||||
\(349\) | −8.57478 | + | 10.3494i | −0.458997 | + | 0.553988i | −0.947990 | − | 0.318300i | \(-0.896888\pi\) |
0.488993 | + | 0.872288i | \(0.337364\pi\) | |||||||
\(350\) | −7.74775 | + | 3.82077i | −0.414135 | + | 0.204229i | ||||
\(351\) | 6.12836 | + | 6.98805i | 0.327108 | + | 0.372995i | ||||
\(352\) | −27.2491 | + | 28.8223i | −1.45238 | + | 1.53623i | ||||
\(353\) | −11.5479 | − | 15.6468i | −0.614630 | − | 0.832794i | 0.381155 | − | 0.924511i | \(-0.375526\pi\) |
−0.995785 | + | 0.0917169i | \(0.970765\pi\) | |||||||
\(354\) | −11.9701 | + | 8.66265i | −0.636205 | + | 0.460415i | ||||
\(355\) | −4.54686 | − | 1.30993i | −0.241322 | − | 0.0695237i | ||||
\(356\) | −10.0785 | + | 6.87142i | −0.534161 | + | 0.364185i | ||||
\(357\) | −4.93180 | − | 1.46117i | −0.261019 | − | 0.0773334i | ||||
\(358\) | 1.47385 | + | 19.6671i | 0.0778951 | + | 1.03944i | ||||
\(359\) | −0.521716 | − | 27.8960i | −0.0275351 | − | 1.47230i | −0.690329 | − | 0.723495i | \(-0.742534\pi\) |
0.662794 | − | 0.748802i | \(-0.269370\pi\) | |||||||
\(360\) | 4.82088 | − | 10.7736i | 0.254083 | − | 0.567819i | ||||
\(361\) | 1.65508 | − | 3.13157i | 0.0871096 | − | 0.164819i | ||||
\(362\) | −5.98721 | − | 0.0559819i | −0.314681 | − | 0.00294235i | ||||
\(363\) | −13.9672 | − | 38.7499i | −0.733087 | − | 2.03384i | ||||
\(364\) | 1.27753 | − | 5.84878i | 0.0669609 | − | 0.306560i | ||||
\(365\) | 1.25072 | + | 22.2711i | 0.0654656 | + | 1.16572i | ||||
\(366\) | 3.24950 | + | 57.8627i | 0.169854 | + | 3.02453i | ||||
\(367\) | 1.93913 | − | 8.87771i | 0.101222 | − | 0.463413i | −0.898480 | − | 0.439014i | \(-0.855328\pi\) |
0.999702 | − | 0.0243991i | \(-0.00776724\pi\) | |||||||
\(368\) | 3.00268 | + | 8.33049i | 0.156526 | + | 0.434257i | ||||
\(369\) | 9.83176 | + | 0.0919294i | 0.511821 | + | 0.00478565i | ||||
\(370\) | 38.6404 | − | 73.1113i | 2.00882 | − | 3.80087i | ||||
\(371\) | −0.934724 | + | 2.08890i | −0.0485284 | + | 0.108450i | ||||
\(372\) | 0.171444 | + | 9.16709i | 0.00888897 | + | 0.475292i | ||||
\(373\) | −0.102499 | − | 1.36776i | −0.00530721 | − | 0.0708198i | 0.993921 | − | 0.110093i | \(-0.0351148\pi\) |
−0.999229 | + | 0.0392730i | \(0.987496\pi\) | |||||||
\(374\) | −43.6550 | − | 22.9712i | −2.25734 | − | 1.18781i | ||||
\(375\) | −12.3686 | + | 8.43277i | −0.638712 | + | 0.435466i | ||||
\(376\) | 2.14967 | + | 0.619310i | 0.110861 | + | 0.0319385i | ||||
\(377\) | −0.162378 | + | 0.117511i | −0.00836289 | + | 0.00605214i | ||||
\(378\) | −1.82771 | − | 2.47646i | −0.0940072 | − | 0.127375i | ||||
\(379\) | 15.6892 | − | 16.5950i | 0.805900 | − | 0.852428i | −0.185588 | − | 0.982628i | \(-0.559419\pi\) |
0.991488 | + | 0.130200i | \(0.0415619\pi\) | |||||||
\(380\) | 25.3490 | + | 28.9050i | 1.30038 | + | 1.48280i | ||||
\(381\) | 11.0180 | − | 5.43350i | 0.564471 | − | 0.278366i | ||||
\(382\) | 0.943658 | − | 1.13895i | 0.0482817 | − | 0.0582738i | ||||
\(383\) | 15.2556 | − | 4.39505i | 0.779522 | − | 0.224577i | 0.136721 | − | 0.990610i | \(-0.456344\pi\) |
0.642801 | + | 0.766033i | \(0.277772\pi\) | |||||||
\(384\) | 18.0982 | − | 23.1349i | 0.923569 | − | 1.18060i | ||||
\(385\) | 2.65712 | − | 10.3008i | 0.135419 | − | 0.524978i | ||||
\(386\) | −32.8035 | − | 49.0940i | −1.66966 | − | 2.49882i | ||||
\(387\) | 12.2954 | + | 0.578997i | 0.625009 | + | 0.0294321i | ||||
\(388\) | −8.15984 | + | 41.0223i | −0.414253 | + | 2.08259i | ||||
\(389\) | 27.7612 | + | 1.55904i | 1.40755 | + | 0.0790463i | 0.743547 | − | 0.668683i | \(-0.233142\pi\) |
0.664003 | + | 0.747730i | \(0.268856\pi\) | |||||||
\(390\) | 4.70019 | − | 62.7197i | 0.238004 | − | 3.17594i | ||||
\(391\) | −17.9126 | + | 12.7586i | −0.905881 | + | 0.645229i | ||||
\(392\) | 3.58042 | − | 11.6074i | 0.180839 | − | 0.586265i | ||||
\(393\) | −0.115045 | + | 0.873857i | −0.00580327 | + | 0.0440802i | ||||
\(394\) | 11.8767 | − | 4.03158i | 0.598337 | − | 0.203108i | ||||
\(395\) | 15.5065 | − | 24.6784i | 0.780217 | − | 1.24171i | ||||
\(396\) | 12.2958 | + | 26.1553i | 0.617886 | + | 1.31435i | ||||
\(397\) | 31.4142 | + | 19.3316i | 1.57664 | + | 0.970223i | 0.986659 | + | 0.162803i | \(0.0520536\pi\) |
0.589977 | + | 0.807420i | \(0.299137\pi\) | |||||||
\(398\) | 3.91398 | + | 12.2800i | 0.196190 | + | 0.615540i | ||||
\(399\) | −4.80147 | + | 1.00183i | −0.240374 | + | 0.0501542i | ||||
\(400\) | −10.8333 | + | 4.01963i | −0.541663 | + | 0.200982i | ||||
\(401\) | 18.7634 | − | 33.2125i | 0.937001 | − | 1.65856i | 0.203262 | − | 0.979124i | \(-0.434846\pi\) |
0.733739 | − | 0.679431i | \(-0.237773\pi\) | |||||||
\(402\) | 13.5057 | + | 2.42485i | 0.673605 | + | 0.120941i | ||||
\(403\) | 1.96264 | + | 5.14156i | 0.0977659 | + | 0.256119i | ||||
\(404\) | −30.2749 | − | 16.0008i | −1.50623 | − | 0.796068i | ||||
\(405\) | −26.9079 | − | 27.4159i | −1.33707 | − | 1.36231i | ||||
\(406\) | 0.0568515 | − | 0.0342564i | 0.00282149 | − | 0.00170011i | ||||
\(407\) | 21.6505 | + | 55.1647i | 1.07318 | + | 2.73441i | ||||
\(408\) | 15.3068 | + | 6.30780i | 0.757800 | + | 0.312283i | ||||
\(409\) | 10.7508 | + | 22.3243i | 0.531594 | + | 1.10387i | 0.977917 | + | 0.208994i | \(0.0670189\pi\) |
−0.446323 | + | 0.894872i | \(0.647267\pi\) | |||||||
\(410\) | 27.6121 | + | 28.6646i | 1.36367 | + | 1.41565i | ||||
\(411\) | 40.8248 | + | 1.90995i | 2.01374 | + | 0.0942108i | ||||
\(412\) | 38.3793 | − | 7.26176i | 1.89081 | − | 0.357761i | ||||
\(413\) | 1.08506 | − | 1.33482i | 0.0533921 | − | 0.0656823i | ||||
\(414\) | 21.9896 | + | 0.616970i | 1.08073 | + | 0.0303224i | ||||
\(415\) | 50.8871 | − | 35.3957i | 2.49795 | − | 1.73750i | ||||
\(416\) | 8.53364 | − | 25.9334i | 0.418396 | − | 1.27149i | ||||
\(417\) | −8.03980 | − | 21.6680i | −0.393711 | − | 1.06108i | ||||
\(418\) | −47.0373 | + | 0.439810i | −2.30067 | + | 0.0215118i | ||||
\(419\) | −3.64264 | + | 7.05101i | −0.177955 | + | 0.344465i | −0.960569 | − | 0.278043i | \(-0.910314\pi\) |
0.782614 | + | 0.622507i | \(0.213886\pi\) | |||||||
\(420\) | −1.93087 | + | 12.0452i | −0.0942166 | + | 0.587745i | ||||
\(421\) | −10.9541 | + | 8.08448i | −0.533869 | + | 0.394014i | −0.827123 | − | 0.562021i | \(-0.810024\pi\) |
0.293253 | + | 0.956035i | \(0.405262\pi\) | |||||||
\(422\) | −47.8727 | + | 1.34318i | −2.33041 | + | 0.0653850i | ||||
\(423\) | −1.40599 | + | 1.83233i | −0.0683618 | + | 0.0890908i | ||||
\(424\) | 3.68289 | − | 6.37896i | 0.178857 | − | 0.309789i | ||||
\(425\) | −16.8664 | − | 23.2173i | −0.818139 | − | 1.12621i | ||||
\(426\) | −5.19057 | + | 4.13934i | −0.251484 | + | 0.200552i | ||||
\(427\) | −2.10892 | − | 6.40892i | −0.102058 | − | 0.310149i | ||||
\(428\) | 21.9487 | + | 16.5181i | 1.06093 | + | 0.798431i | ||||
\(429\) | 31.8713 | + | 31.8713i | 1.53876 | + | 1.53876i | ||||
\(430\) | 33.1905 | + | 37.1631i | 1.60059 | + | 1.79216i | ||||
\(431\) | −20.2610 | + | 4.03016i | −0.975938 | + | 0.194126i | −0.657200 | − | 0.753717i | \(-0.728259\pi\) |
−0.318738 | + | 0.947843i | \(0.603259\pi\) | |||||||
\(432\) | −2.09172 | − | 3.54598i | −0.100638 | − | 0.170606i | ||||
\(433\) | −1.13816 | + | 2.25457i | −0.0546964 | + | 0.108348i | −0.918401 | − | 0.395651i | \(-0.870519\pi\) |
0.863705 | + | 0.503998i | \(0.168138\pi\) | |||||||
\(434\) | −0.504516 | − | 1.75122i | −0.0242176 | − | 0.0840610i | ||||
\(435\) | 0.316928 | − | 0.257626i | 0.0151956 | − | 0.0123522i | ||||
\(436\) | 4.87672 | + | 1.65542i | 0.233552 | + | 0.0792803i | ||||
\(437\) | −9.27514 | + | 18.8081i | −0.443690 | + | 0.899715i | ||||
\(438\) | 26.4999 | + | 16.6510i | 1.26621 | + | 0.795615i | ||||
\(439\) | −4.11904 | + | 11.4277i | −0.196591 | + | 0.545412i | −0.998656 | − | 0.0518241i | \(-0.983496\pi\) |
0.802065 | + | 0.597236i | \(0.203735\pi\) | |||||||
\(440\) | −11.9110 | + | 32.1011i | −0.567832 | + | 1.53036i | ||||
\(441\) | 9.80474 | + | 7.81902i | 0.466892 | + | 0.372334i | ||||
\(442\) | 33.9202 | + | 1.52530i | 1.61342 | + | 0.0725511i | ||||
\(443\) | 16.5214 | − | 15.3297i | 0.784957 | − | 0.728334i | −0.181993 | − | 0.983300i | \(-0.558255\pi\) |
0.966950 | + | 0.254966i | \(0.0820642\pi\) | |||||||
\(444\) | −30.6251 | − | 60.6650i | −1.45340 | − | 2.87903i | ||||
\(445\) | 8.05539 | − | 12.5579i | 0.381862 | − | 0.595301i | ||||
\(446\) | 19.4252 | + | 30.9151i | 0.919811 | + | 1.46387i | ||||
\(447\) | −2.85363 | − | 2.31967i | −0.134972 | − | 0.109717i | ||||
\(448\) | −2.80374 | + | 6.59377i | −0.132464 | + | 0.311526i | ||||
\(449\) | 26.3984 | + | 12.4101i | 1.24582 | + | 0.585668i | 0.931532 | − | 0.363661i | \(-0.118473\pi\) |
0.314285 | + | 0.949329i | \(0.398235\pi\) | |||||||
\(450\) | −0.536758 | + | 28.7003i | −0.0253030 | + | 1.35295i | ||||
\(451\) | −28.4774 | + | 1.59926i | −1.34095 | + | 0.0753062i | ||||
\(452\) | −4.33858 | + | 30.7316i | −0.204069 | + | 1.44549i | ||||
\(453\) | −29.2200 | + | 18.7435i | −1.37287 | + | 0.880644i | ||||
\(454\) | 24.7801 | − | 22.5651i | 1.16299 | − | 1.05903i | ||||
\(455\) | 1.36130 | + | 7.19465i | 0.0638188 | + | 0.337290i | ||||
\(456\) | 15.7034 | − | 1.62081i | 0.735381 | − | 0.0759016i | ||||
\(457\) | 0.607791 | + | 3.57720i | 0.0284313 | + | 0.167334i | 0.996530 | − | 0.0832347i | \(-0.0265251\pi\) |
−0.968099 | + | 0.250569i | \(0.919382\pi\) | |||||||
\(458\) | 17.4934 | − | 44.5724i | 0.817412 | − | 2.08273i | ||||
\(459\) | 7.08004 | − | 7.37663i | 0.330468 | − | 0.344311i | ||||
\(460\) | 35.4756 | + | 38.2336i | 1.65406 | + | 1.78265i | ||||
\(461\) | 12.5255 | − | 19.1306i | 0.583373 | − | 0.891002i | −0.416462 | − | 0.909153i | \(-0.636730\pi\) |
0.999835 | + | 0.0181506i | \(0.00577783\pi\) | |||||||
\(462\) | −9.62968 | − | 11.4038i | −0.448013 | − | 0.530555i | ||||
\(463\) | 0.859676 | + | 22.9753i | 0.0399525 | + | 1.06775i | 0.864711 | + | 0.502269i | \(0.167501\pi\) |
−0.824759 | + | 0.565484i | \(0.808689\pi\) | |||||||
\(464\) | 0.0803467 | − | 0.0377716i | 0.00373000 | − | 0.00175350i | ||||
\(465\) | −4.58038 | − | 10.2361i | −0.212410 | − | 0.474690i | ||||
\(466\) | 20.3962 | + | 1.33684i | 0.944835 | + | 0.0619278i | ||||
\(467\) | 21.9630 | − | 16.8528i | 1.01633 | − | 0.779855i | 0.0406734 | − | 0.999172i | \(-0.487050\pi\) |
0.975654 | + | 0.219317i | \(0.0703830\pi\) | |||||||
\(468\) | −15.3185 | − | 12.6919i | −0.708097 | − | 0.586682i | ||||
\(469\) | −1.59183 | + | 0.134269i | −0.0735037 | + | 0.00619996i | ||||
\(470\) | −9.28026 | + | 1.13360i | −0.428066 | + | 0.0522891i | ||||
\(471\) | 36.1521 | − | 5.10383i | 1.66580 | − | 0.235172i | ||||
\(472\) | −3.91501 | + | 3.91501i | −0.180203 | + | 0.180203i | ||||
\(473\) | −35.7013 | + | 0.656762i | −1.64155 | + | 0.0301979i | ||||
\(474\) | −15.6492 | − | 37.7805i | −0.718791 | − | 1.73532i | ||||
\(475\) | −24.6546 | − | 11.8730i | −1.13123 | − | 0.544772i | ||||
\(476\) | −6.53088 | − | 0.847764i | −0.299342 | − | 0.0388572i | ||||
\(477\) | 4.74131 | + | 5.94541i | 0.217090 | + | 0.272222i | ||||
\(478\) | −4.81255 | − | 51.3212i | −0.220121 | − | 2.34737i | ||||
\(479\) | 19.1951 | − | 21.8878i | 0.877046 | − | 1.00008i | −0.122924 | − | 0.992416i | \(-0.539227\pi\) |
0.999971 | − | 0.00766366i | \(-0.00243944\pi\) | |||||||
\(480\) | −14.3985 | + | 53.7360i | −0.657199 | + | 2.45270i | ||||
\(481\) | −29.6407 | − | 28.0229i | −1.35150 | − | 1.27773i | ||||
\(482\) | 10.3708 | − | 0.485185i | 0.472375 | − | 0.0220996i | ||||
\(483\) | −6.47315 | + | 1.54127i | −0.294538 | + | 0.0701301i | ||||
\(484\) | −25.5101 | − | 46.1570i | −1.15955 | − | 2.09804i | ||||
\(485\) | −10.4490 | − | 50.0788i | −0.474463 | − | 2.27396i | ||||
\(486\) | −37.0787 | + | 5.94379i | −1.68192 | + | 0.269616i | ||||
\(487\) | 15.2067 | − | 4.22741i | 0.689082 | − | 0.191562i | 0.0944138 | − | 0.995533i | \(-0.469902\pi\) |
0.594669 | + | 0.803971i | \(0.297283\pi\) | |||||||
\(488\) | 4.63408 | + | 21.2157i | 0.209775 | + | 0.960389i | ||||
\(489\) | 17.5725 | − | 11.0415i | 0.794655 | − | 0.499315i | ||||
\(490\) | 5.21195 | + | 50.4965i | 0.235452 | + | 2.28120i | ||||
\(491\) | −27.5216 | − | 5.74241i | −1.24203 | − | 0.259151i | −0.463128 | − | 0.886292i | \(-0.653273\pi\) |
−0.778906 | + | 0.627140i | \(0.784225\pi\) | |||||||
\(492\) | 32.3422 | − | 4.87481i | 1.45810 | − | 0.219773i | ||||
\(493\) | 0.144127 | + | 0.166866i | 0.00649117 | + | 0.00751528i | ||||
\(494\) | 29.1715 | − | 14.0482i | 1.31249 | − | 0.632061i | ||||
\(495\) | −26.3578 | − | 23.5548i | −1.18469 | − | 1.05871i | ||||
\(496\) | −0.430779 | − | 2.39932i | −0.0193426 | − | 0.107733i | ||||
\(497\) | 0.458970 | − | 0.621882i | 0.0205876 | − | 0.0278952i | ||||
\(498\) | 0.813165 | − | 86.9672i | 0.0364388 | − | 3.89709i | ||||
\(499\) | 9.60142 | + | 17.7628i | 0.429819 | + | 0.795170i | 0.999646 | − | 0.0265943i | \(-0.00846622\pi\) |
−0.569828 | + | 0.821764i | \(0.692990\pi\) | |||||||
\(500\) | −13.9274 | + | 13.1672i | −0.622853 | + | 0.588856i | ||||
\(501\) | −23.4335 | + | 24.3268i | −1.04693 | + | 1.08684i | ||||
\(502\) | −58.9260 | − | 19.3902i | −2.63000 | − | 0.865425i | ||||
\(503\) | −1.45233 | − | 9.05996i | −0.0647562 | − | 0.403964i | −0.998893 | − | 0.0470477i | \(-0.985019\pi\) |
0.934136 | − | 0.356916i | \(-0.116172\pi\) | |||||||
\(504\) | 1.37596 | + | 1.35047i | 0.0612901 | + | 0.0601546i | ||||
\(505\) | 41.7346 | + | 3.52027i | 1.85716 | + | 0.156650i | ||||
\(506\) | −63.7705 | + | 2.38612i | −2.83494 | + | 0.106076i | ||||
\(507\) | −2.17778 | − | 0.784968i | −0.0967185 | − | 0.0348617i | ||||
\(508\) | 12.8279 | − | 9.10185i | 0.569144 | − | 0.403829i | ||||
\(509\) | 26.6922 | − | 15.4107i | 1.18311 | − | 0.683069i | 0.226379 | − | 0.974039i | \(-0.427311\pi\) |
0.956732 | + | 0.290970i | \(0.0939780\pi\) | |||||||
\(510\) | −69.1842 | + | 0.772324i | −3.06353 | + | 0.0341991i | ||||
\(511\) | −3.48172 | − | 1.07397i | −0.154022 | − | 0.0475095i | ||||
\(512\) | −8.76979 | + | 15.8677i | −0.387573 | + | 0.701261i | ||||
\(513\) | 2.61138 | − | 9.39359i | 0.115295 | − | 0.414737i | ||||
\(514\) | −45.9229 | + | 16.0691i | −2.02557 | + | 0.708779i | ||||
\(515\) | −39.7231 | + | 26.5421i | −1.75041 | + | 1.16959i | ||||
\(516\) | 40.6908 | − | 4.57214i | 1.79131 | − | 0.201277i | ||||
\(517\) | 3.72229 | − | 5.57080i | 0.163706 | − | 0.245003i | ||||
\(518\) | 9.00076 | + | 10.0719i | 0.395471 | + | 0.442532i | ||||
\(519\) | 1.59819 | + | 0.806804i | 0.0701528 | + | 0.0354148i | ||||
\(520\) | −1.98087 | − | 23.4842i | −0.0868670 | − | 1.02985i | ||||
\(521\) | 21.5611 | + | 2.22541i | 0.944610 | + | 0.0974969i | 0.562662 | − | 0.826687i | \(-0.309777\pi\) |
0.381948 | + | 0.924184i | \(0.375253\pi\) | |||||||
\(522\) | −0.0144251 | − | 0.220085i | −0.000631370 | − | 0.00963284i | ||||
\(523\) | −11.5615 | − | 3.09788i | −0.505547 | − | 0.135461i | −0.00297405 | − | 0.999996i | \(-0.500947\pi\) |
−0.502573 | + | 0.864535i | \(0.667613\pi\) | |||||||
\(524\) | 0.0316498 | + | 1.12804i | 0.00138263 | + | 0.0492787i | ||||
\(525\) | −2.09007 | − | 8.42757i | −0.0912183 | − | 0.367809i | ||||
\(526\) | −22.6539 | + | 24.4151i | −0.987756 | + | 1.06455i | ||||
\(527\) | 5.44974 | − | 2.63664i | 0.237394 | − | 0.114854i | ||||
\(528\) | −11.2464 | − | 16.4955i | −0.489439 | − | 0.717875i | ||||
\(529\) | −2.27229 | + | 4.95332i | −0.0987953 | + | 0.215362i | ||||
\(530\) | −3.73244 | + | 30.5557i | −0.162127 | + | 1.32726i | ||||
\(531\) | −2.28581 | − | 5.23914i | −0.0991958 | − | 0.227359i | ||||
\(532\) | −5.86697 | + | 2.23954i | −0.254366 | + | 0.0970964i | ||||
\(533\) | 17.2707 | − | 9.33547i | 0.748079 | − | 0.404364i | ||||
\(534\) | −7.82950 | − | 19.4135i | −0.338816 | − | 0.840105i | ||||
\(535\) | −32.6104 | − | 8.08751i | −1.40987 | − | 0.349654i | ||||
\(536\) | 5.14076 | + | 0.0961432i | 0.222047 | + | 0.00415275i | ||||
\(537\) | −19.6286 | − | 2.77110i | −0.847038 | − | 0.119582i | ||||
\(538\) | −24.9936 | + | 18.8096i | −1.07755 | + | 0.810940i | ||||
\(539\) | −29.8653 | − | 20.7735i | −1.28639 | − | 0.894777i | ||||
\(540\) | −19.5106 | − | 14.3995i | −0.839602 | − | 0.619655i | ||||
\(541\) | 7.93500 | − | 7.78798i | 0.341152 | − | 0.334832i | −0.509588 | − | 0.860419i | \(-0.670202\pi\) |
0.850740 | + | 0.525587i | \(0.176154\pi\) | |||||||
\(542\) | −44.9135 | + | 37.2123i | −1.92920 | + | 1.59840i | ||||
\(543\) | 1.33916 | − | 5.86726i | 0.0574690 | − | 0.251788i | ||||
\(544\) | −29.2288 | − | 6.90346i | −1.25317 | − | 0.295983i | ||||
\(545\) | −6.28138 | + | 0.470724i | −0.269065 | + | 0.0201636i | ||||
\(546\) | 9.33796 | + | 4.28370i | 0.399628 | + | 0.183326i | ||||
\(547\) | −13.9340 | + | 5.92488i | −0.595774 | + | 0.253329i | −0.668124 | − | 0.744050i | \(-0.732902\pi\) |
0.0723501 | + | 0.997379i | \(0.476950\pi\) | |||||||
\(548\) | 51.9977 | − | 5.85873i | 2.22123 | − | 0.250273i | ||||
\(549\) | −22.1370 | − | 3.54860i | −0.944783 | − | 0.151451i | ||||
\(550\) | −3.89153 | − | 83.1807i | −0.165935 | − | 3.54684i | ||||
\(551\) | 0.196430 | + | 0.0749814i | 0.00836822 | + | 0.00319432i | ||||
\(552\) | 21.2338 | − | 2.79548i | 0.903769 | − | 0.118983i | ||||
\(553\) | 2.89819 | + | 3.77699i | 0.123244 | + | 0.160614i | ||||
\(554\) | −2.47009 | − | 3.03867i | −0.104944 | − | 0.129101i | ||||
\(555\) | 63.5052 | + | 53.6253i | 2.69564 | + | 2.27627i | ||||
\(556\) | −14.5550 | − | 25.7633i | −0.617268 | − | 1.09261i | ||||
\(557\) | 1.50003 | + | 4.28684i | 0.0635584 | + | 0.181639i | 0.971283 | − | 0.237927i | \(-0.0764679\pi\) |
−0.907725 | + | 0.419566i | \(0.862182\pi\) | |||||||
\(558\) | −5.93945 | − | 1.18143i | −0.251437 | − | 0.0500139i | ||||
\(559\) | 22.0466 | − | 10.8638i | 0.932471 | − | 0.459489i | ||||
\(560\) | − | 3.24334i | − | 0.137056i | ||||||
\(561\) | 31.9205 | − | 37.9408i | 1.34769 | − | 1.60186i | ||||
\(562\) | 5.46600 | + | 0.409620i | 0.230569 | + | 0.0172788i | ||||
\(563\) | −12.1196 | − | 6.69825i | −0.510779 | − | 0.282298i | 0.207278 | − | 0.978282i | \(-0.433540\pi\) |
−0.718057 | + | 0.695984i | \(0.754968\pi\) | |||||||
\(564\) | −3.65341 | + | 6.75885i | −0.153836 | + | 0.284599i | ||||
\(565\) | −9.82489 | − | 36.6670i | −0.413336 | − | 1.54259i | ||||
\(566\) | 16.2001 | + | 7.98902i | 0.680942 | + | 0.335804i | ||||
\(567\) | 5.72751 | − | 2.56289i | 0.240533 | − | 0.107631i | ||||
\(568\) | −1.67494 | + | 1.83935i | −0.0702789 | + | 0.0771775i | ||||
\(569\) | 30.3635 | − | 13.9290i | 1.27290 | − | 0.583933i | 0.338775 | − | 0.940867i | \(-0.389988\pi\) |
0.934130 | + | 0.356934i | \(0.116178\pi\) | |||||||
\(570\) | −57.7437 | + | 31.9138i | −2.41862 | + | 1.33672i | ||||
\(571\) | 0.401126 | + | 42.9000i | 0.0167866 | + | 1.79531i | 0.448994 | + | 0.893535i | \(0.351782\pi\) |
−0.432208 | + | 0.901774i | \(0.642265\pi\) | |||||||
\(572\) | 46.7504 | + | 33.8328i | 1.95473 | + | 1.41462i | ||||
\(573\) | 0.916012 | + | 1.17094i | 0.0382669 | + | 0.0489166i | ||||
\(574\) | −5.95876 | + | 2.59978i | −0.248714 | + | 0.108513i | ||||
\(575\) | −33.8859 | − | 15.1630i | −1.41314 | − | 0.632339i | ||||
\(576\) | 15.1902 | + | 18.3338i | 0.632923 | + | 0.763908i | ||||
\(577\) | −24.6266 | − | 16.7901i | −1.02522 | − | 0.698983i | −0.0708118 | − | 0.997490i | \(-0.522559\pi\) |
−0.954407 | + | 0.298507i | \(0.903511\pi\) | |||||||
\(578\) | −1.53195 | − | 37.3203i | −0.0637207 | − | 1.55232i | ||||
\(579\) | 55.2448 | − | 21.6820i | 2.29590 | − | 0.901073i | ||||
\(580\) | 0.348451 | − | 0.389917i | 0.0144686 | − | 0.0161904i | ||||
\(581\) | 2.52903 | + | 9.80423i | 0.104922 | + | 0.406748i | ||||
\(582\) | −65.7878 | − | 28.7029i | −2.72699 | − | 1.18977i | ||||
\(583\) | −14.8527 | − | 16.3106i | −0.615135 | − | 0.675517i | ||||
\(584\) | 10.7922 | + | 4.58895i | 0.446584 | + | 0.189892i | ||||
\(585\) | 23.3164 | + | 6.95409i | 0.964015 | + | 0.287516i | ||||
\(586\) | 9.46870 | − | 13.3449i | 0.391148 | − | 0.551272i | ||||
\(587\) | −0.350107 | − | 0.337252i | −0.0144505 | − | 0.0139199i | 0.686501 | − | 0.727129i | \(-0.259146\pi\) |
−0.700951 | + | 0.713209i | \(0.747241\pi\) | |||||||
\(588\) | 36.3221 | + | 20.5202i | 1.49790 | + | 0.846237i | ||||
\(589\) | 3.38451 | − | 4.67675i | 0.139456 | − | 0.192702i | ||||
\(590\) | 8.65451 | − | 21.4592i | 0.356300 | − | 0.883460i | ||||
\(591\) | 1.41148 | + | 12.5273i | 0.0580606 | + | 0.515303i | ||||
\(592\) | 10.5926 | + | 14.6369i | 0.435352 | + | 0.601573i | ||||
\(593\) | 25.9577 | − | 6.43763i | 1.06596 | − | 0.264362i | 0.331805 | − | 0.943348i | \(-0.392342\pi\) |
0.734151 | + | 0.678986i | \(0.237580\pi\) | |||||||
\(594\) | 28.9253 | − | 6.60201i | 1.18682 | − | 0.270884i | ||||
\(595\) | 7.75670 | − | 2.17149i | 0.317994 | − | 0.0890223i | ||||
\(596\) | −4.07764 | − | 2.35422i | −0.167026 | − | 0.0964328i | ||||
\(597\) | −12.8981 | + | 1.20950i | −0.527884 | + | 0.0495013i | ||||
\(598\) | 39.0249 | − | 20.1608i | 1.59585 | − | 0.824434i | ||||
\(599\) | 17.5317 | + | 20.3722i | 0.716325 | + | 0.832385i | 0.991649 | − | 0.128967i | \(-0.0411661\pi\) |
−0.275324 | + | 0.961351i | \(0.588785\pi\) | |||||||
\(600\) | 3.90669 | + | 27.6724i | 0.159490 | + | 1.12972i | ||||
\(601\) | 0.672771 | + | 3.38225i | 0.0274429 | + | 0.137965i | 0.992078 | − | 0.125625i | \(-0.0400935\pi\) |
−0.964635 | + | 0.263590i | \(0.915094\pi\) | |||||||
\(602\) | −7.57721 | + | 2.97116i | −0.308824 | + | 0.121095i | ||||
\(603\) | −2.03139 | + | 4.90421i | −0.0827245 | + | 0.199715i | ||||
\(604\) | −33.1414 | + | 29.6169i | −1.34850 | + | 1.20510i | ||||
\(605\) | 50.8043 | + | 39.7437i | 2.06549 | + | 1.61581i | ||||
\(606\) | 37.9129 | − | 44.8980i | 1.54011 | − | 1.82385i | ||||
\(607\) | −1.16978 | − | 3.92215i | −0.0474798 | − | 0.159195i | 0.931236 | − | 0.364418i | \(-0.118732\pi\) |
−0.978715 | + | 0.205223i | \(0.934208\pi\) | |||||||
\(608\) | −27.6626 | + | 7.41218i | −1.12187 | + | 0.300604i | ||||
\(609\) | 0.0214447 | + | 0.0631741i | 0.000868984 | + | 0.00255994i | ||||
\(610\) | −52.5170 | − | 74.0157i | −2.12635 | − | 2.99681i | ||||
\(611\) | −0.687334 | + | 4.56017i | −0.0278066 | + | 0.184485i | ||||
\(612\) | −12.4634 | + | 17.9876i | −0.503803 | + | 0.727107i | ||||
\(613\) | −12.1104 | + | 15.1859i | −0.489133 | + | 0.613353i | −0.963740 | − | 0.266845i | \(-0.914019\pi\) |
0.474607 | + | 0.880198i | \(0.342590\pi\) | |||||||
\(614\) | 21.2752 | + | 13.9297i | 0.858596 | + | 0.562155i | ||||
\(615\) | −34.0703 | + | 20.9661i | −1.37385 | + | 0.845433i | ||||
\(616\) | −4.23921 | − | 3.64814i | −0.170803 | − | 0.146988i | ||||
\(617\) | 12.8191 | − | 2.80005i | 0.516079 | − | 0.112726i | 0.0522216 | − | 0.998636i | \(-0.483370\pi\) |
0.463857 | + | 0.885910i | \(0.346465\pi\) | |||||||
\(618\) | −1.87996 | + | 67.0042i | −0.0756230 | + | 2.69531i | ||||
\(619\) | −4.15460 | + | 13.9300i | −0.166987 | + | 0.559893i | 0.832991 | + | 0.553287i | \(0.186627\pi\) |
−0.999978 | + | 0.00660621i | \(0.997897\pi\) | |||||||
\(620\) | −7.86489 | − | 12.0123i | −0.315862 | − | 0.482425i | ||||
\(621\) | 3.18388 | − | 12.8380i | 0.127765 | − | 0.515171i | ||||
\(622\) | −9.56038 | − | 2.08825i | −0.383336 | − | 0.0837310i | ||||
\(623\) | 1.46541 | + | 1.94719i | 0.0587105 | + | 0.0780126i | ||||
\(624\) | 11.8361 | + | 6.98194i | 0.473823 | + | 0.279501i | ||||
\(625\) | −4.54195 | + | 10.4103i | −0.181678 | + | 0.416410i | ||||
\(626\) | −1.34862 | + | 28.8266i | −0.0539019 | + | 1.15214i | ||||
\(627\) | 9.65710 | − | 46.2836i | 0.385667 | − | 1.84839i | ||||
\(628\) | 44.6690 | − | 13.7786i | 1.78249 | − | 0.549825i | ||||
\(629\) | −27.9133 | + | 35.1327i | −1.11298 | + | 1.40083i | ||||
\(630\) | −7.50029 | − | 2.94365i | −0.298819 | − | 0.117278i | ||||
\(631\) | 24.8835 | − | 12.5618i | 0.990595 | − | 0.500076i | 0.120370 | − | 0.992729i | \(-0.461592\pi\) |
0.870226 | + | 0.492654i | \(0.163973\pi\) | |||||||
\(632\) | −8.03074 | − | 13.0501i | −0.319446 | − | 0.519107i | ||||
\(633\) | 8.94921 | − | 47.2977i | 0.355699 | − | 1.87992i | ||||
\(634\) | 2.77439 | − | 32.8918i | 0.110185 | − | 1.30630i | ||||
\(635\) | −10.0825 | + | 16.3842i | −0.400110 | + | 0.650188i | ||||
\(636\) | 18.7040 | + | 17.0321i | 0.741661 | + | 0.675366i | ||||
\(637\) | 24.6868 | + | 4.19446i | 0.978128 | + | 0.166191i | ||||
\(638\) | 0.0835127 | + | 0.634342i | 0.00330630 | + | 0.0251138i | ||||
\(639\) | −1.13593 | − | 2.30345i | −0.0449369 | − | 0.0911230i | ||||
\(640\) | −4.72248 | + | 45.7542i | −0.186672 | + | 1.80859i | ||||
\(641\) | −11.7733 | + | 36.9384i | −0.465018 | + | 1.45898i | 0.380375 | + | 0.924833i | \(0.375795\pi\) |
−0.845393 | + | 0.534145i | \(0.820633\pi\) | |||||||
\(642\) | −35.7311 | + | 30.7491i | −1.41019 | + | 1.21357i | ||||
\(643\) | 0.245326 | − | 0.325981i | 0.00967470 | − | 0.0128554i | −0.794147 | − | 0.607725i | \(-0.792082\pi\) |
0.803822 | + | 0.594870i | \(0.202796\pi\) | |||||||
\(644\) | −7.87099 | + | 3.26027i | −0.310160 | + | 0.128473i | ||||
\(645\) | −43.6121 | + | 24.6210i | −1.71722 | + | 0.969453i | ||||
\(646\) | −18.1519 | − | 30.6449i | −0.714178 | − | 1.20571i | ||||
\(647\) | 16.8940 | − | 35.0808i | 0.664172 | − | 1.37917i | −0.247759 | − | 0.968822i | \(-0.579694\pi\) |
0.911930 | − | 0.410345i | \(-0.134592\pi\) | |||||||
\(648\) | −19.1841 | + | 6.31271i | −0.753623 | + | 0.247987i | ||||
\(649\) | 7.61076 | + | 14.7320i | 0.298748 | + | 0.578283i | ||||
\(650\) | 26.7825 | + | 50.6750i | 1.05050 | + | 1.98764i | ||||
\(651\) | 1.82786 | − | 0.119804i | 0.0716393 | − | 0.00469549i | ||||
\(652\) | 19.9775 | − | 17.5198i | 0.782378 | − | 0.686127i | ||||
\(653\) | −1.21673 | + | 3.18748i | −0.0476142 | + | 0.124736i | −0.955972 | − | 0.293458i | \(-0.905194\pi\) |
0.908358 | + | 0.418194i | \(0.137337\pi\) | |||||||
\(654\) | −4.56128 | + | 7.56985i | −0.178360 | + | 0.296004i | ||||
\(655\) | −0.575509 | − | 1.25454i | −0.0224870 | − | 0.0490190i | ||||
\(656\) | −8.28529 | + | 2.64076i | −0.323486 | + | 0.103104i | ||||
\(657\) | −8.48075 | + | 8.64084i | −0.330865 | + | 0.337111i | ||||
\(658\) | 0.353727 | − | 1.48561i | 0.0137897 | − | 0.0579152i | ||||
\(659\) | −1.23377 | + | 1.43367i | −0.0480610 | + | 0.0558479i | −0.781488 | − | 0.623921i | \(-0.785539\pi\) |
0.733427 | + | 0.679769i | \(0.237920\pi\) | |||||||
\(660\) | −98.9783 | − | 63.4907i | −3.85272 | − | 2.47137i | ||||
\(661\) | −28.5246 | + | 4.84652i | −1.10948 | + | 0.188508i | −0.693211 | − | 0.720735i | \(-0.743804\pi\) |
−0.416266 | + | 0.909243i | \(0.636662\pi\) | |||||||
\(662\) | −18.2496 | − | 59.1637i | −0.709290 | − | 2.29946i | ||||
\(663\) | −8.77331 | + | 32.9815i | −0.340727 | + | 1.28090i | ||||
\(664\) | −4.85713 | − | 32.2250i | −0.188493 | − | 1.25057i | ||||
\(665\) | 5.53183 | − | 5.32872i | 0.214515 | − | 0.206639i | ||||
\(666\) | 43.4619 | − | 11.2111i | 1.68412 | − | 0.434422i | ||||
\(667\) | 0.269232 | + | 0.0942084i | 0.0104247 | + | 0.00364776i | ||||
\(668\) | −24.6947 | + | 35.5027i | −0.955467 | + | 1.37364i | ||||
\(669\) | −34.5242 | + | 12.4441i | −1.33478 | + | 0.481115i | ||||
\(670\) | −19.9282 | + | 8.03707i | −0.769894 | + | 0.310499i | ||||
\(671\) | 64.7532 | + | 6.07212i | 2.49977 | + | 0.234411i | ||||
\(672\) | −7.41108 | − | 5.25844i | −0.285889 | − | 0.202849i | ||||
\(673\) | 4.90008 | + | 7.04467i | 0.188884 | + | 0.271552i | 0.904072 | − | 0.427380i | \(-0.140563\pi\) |
−0.715188 | + | 0.698933i | \(0.753659\pi\) | |||||||
\(674\) | 18.2627 | + | 65.6940i | 0.703452 | + | 2.53044i | ||||
\(675\) | 16.7903 | + | 3.99780i | 0.646259 | + | 0.153875i | ||||
\(676\) | −2.91221 | − | 0.551021i | −0.112008 | − | 0.0211931i | ||||
\(677\) | 7.79999 | − | 6.58650i | 0.299778 | − | 0.253140i | −0.482746 | − | 0.875760i | \(-0.660361\pi\) |
0.782524 | + | 0.622621i | \(0.213932\pi\) | |||||||
\(678\) | −49.9343 | − | 18.5279i | −1.91771 | − | 0.711559i | ||||
\(679\) | 8.26291 | + | 1.24543i | 0.317101 | + | 0.0477953i | ||||
\(680\) | −25.5514 | + | 4.38904i | −0.979853 | + | 0.168312i | ||||
\(681\) | 16.8432 | + | 29.1734i | 0.645435 | + | 1.11793i | ||||
\(682\) | 17.4171 | + | 2.29300i | 0.666934 | + | 0.0878035i | ||||
\(683\) | −15.6122 | − | 8.43899i | −0.597385 | − | 0.322909i | 0.148573 | − | 0.988901i | \(-0.452532\pi\) |
−0.745958 | + | 0.665993i | \(0.768008\pi\) | |||||||
\(684\) | −2.33642 | + | 20.7363i | −0.0893351 | + | 0.792871i | ||||
\(685\) | −55.7230 | + | 31.4807i | −2.12907 | + | 1.20282i | ||||
\(686\) | −16.4421 | − | 4.24129i | −0.627763 | − | 0.161933i | ||||
\(687\) | 40.0166 | + | 26.7383i | 1.52673 | + | 1.02013i | ||||
\(688\) | −10.4897 | + | 2.91263i | −0.399915 | + | 0.111043i | ||||
\(689\) | 14.0283 | + | 5.81073i | 0.534437 | + | 0.221371i | ||||
\(690\) | −77.0919 | + | 45.4754i | −2.93484 | + | 1.73122i | ||||
\(691\) | 3.56388 | + | 29.1758i | 0.135577 | + | 1.10990i | 0.890788 | + | 0.454420i | \(0.150153\pi\) |
−0.755211 | + | 0.655482i | \(0.772466\pi\) | |||||||
\(692\) | 2.18393 | + | 0.696081i | 0.0830205 | + | 0.0264610i | ||||
\(693\) | 5.10494 | − | 2.69804i | 0.193921 | − | 0.102490i | ||||
\(694\) | 13.7625 | + | 12.0694i | 0.522417 | + | 0.458147i | ||||
\(695\) | 28.7130 | + | 22.0323i | 1.08915 | + | 0.835733i | ||||
\(696\) | −0.0477816 | − | 0.209345i | −0.00181116 | − | 0.00793520i | ||||
\(697\) | −11.8628 | − | 18.0469i | −0.449334 | − | 0.683574i | ||||
\(698\) | −21.6470 | − | 20.0855i | −0.819353 | − | 0.760248i | ||||
\(699\) | −5.68749 | + | 19.7417i | −0.215121 | + | 0.746700i | ||||
\(700\) | −4.35014 | − | 10.2305i | −0.164420 | − | 0.386678i | ||||
\(701\) | 0.644434 | − | 17.2229i | 0.0243399 | − | 0.650498i | −0.932719 | − | 0.360604i | \(-0.882570\pi\) |
0.957059 | − | 0.289894i | \(-0.0936200\pi\) | |||||||
\(702\) | −16.0847 | + | 12.5829i | −0.607078 | + | 0.474911i | ||||
\(703\) | −7.56137 | + | 42.1147i | −0.285182 | + | 1.58839i | ||||
\(704\) | −47.4494 | − | 50.1889i | −1.78832 | − | 1.89156i | ||||
\(705\) | 0.877350 | − | 9.35609i | 0.0330429 | − | 0.352371i | ||||
\(706\) | 35.7471 | − | 23.4050i | 1.34536 | − | 0.880857i | ||||
\(707\) | −2.91057 | + | 6.19129i | −0.109463 | + | 0.232847i | ||||
\(708\) | −10.2667 | − | 16.0051i | −0.385845 | − | 0.601510i | ||||
\(709\) | −12.0103 | + | 20.3604i | −0.451056 | + | 0.764650i | −0.997335 | − | 0.0729524i | \(-0.976758\pi\) |
0.546280 | + | 0.837603i | \(0.316044\pi\) | |||||||
\(710\) | 3.43375 | − | 9.81309i | 0.128866 | − | 0.368279i | ||||
\(711\) | 15.5707 | − | 2.79560i | 0.583948 | − | 0.104843i | ||||
\(712\) | −4.04822 | − | 6.71838i | −0.151713 | − | 0.251782i | ||||
\(713\) | 4.41179 | − | 6.47091i | 0.165223 | − | 0.242338i | ||||
\(714\) | 3.81296 | − | 10.6389i | 0.142696 | − | 0.398151i | ||||
\(715\) | −68.8134 | − | 15.7062i | −2.57348 | − | 0.587379i | ||||
\(716\) | −25.3760 | + | 0.474586i | −0.948347 | + | 0.0177361i | ||||
\(717\) | 51.4281 | + | 6.28204i | 1.92062 | + | 0.234607i | ||||
\(718\) | 61.2599 | + | 2.29219i | 2.28620 | + | 0.0855436i | ||||
\(719\) | 19.6435 | + | 7.92227i | 0.732581 | + | 0.295451i | 0.709910 | − | 0.704292i | \(-0.248736\pi\) |
0.0226705 | + | 0.999743i | \(0.492783\pi\) | |||||||
\(720\) | −9.57507 | − | 4.94660i | −0.356842 | − | 0.184349i | ||||
\(721\) | −1.80754 | − | 7.59147i | −0.0673165 | − | 0.282721i | ||||
\(722\) | 6.66584 | + | 4.01656i | 0.248077 | + | 0.149481i | ||||
\(723\) | −1.74797 | + | 10.2878i | −0.0650079 | + | 0.382609i | ||||
\(724\) | 0.503948 | − | 7.68876i | 0.0187291 | − | 0.285750i | ||||
\(725\) | −0.119641 | + | 0.352452i | −0.00444337 | + | 0.0130898i | ||||
\(726\) | 86.7265 | − | 25.8661i | 3.21872 | − | 0.959980i | ||||
\(727\) | 22.6808 | + | 2.55551i | 0.841183 | + | 0.0947786i | 0.522033 | − | 0.852925i | \(-0.325174\pi\) |
0.319151 | + | 0.947704i | \(0.396602\pi\) | |||||||
\(728\) | 3.70899 | + | 1.03108i | 0.137464 | + | 0.0382145i | ||||
\(729\) | 0.247891 | − | 4.41412i | 0.00918116 | − | 0.163486i | ||||
\(730\) | −49.0103 | −1.81395 | ||||||||
\(731\) | −13.9889 | − | 23.1368i | −0.517396 | − | 0.855746i | ||||
\(732\) | −74.5805 | −2.75658 | ||||||||
\(733\) | −0.218882 | + | 3.89756i | −0.00808460 | + | 0.143960i | 0.991787 | + | 0.127904i | \(0.0408251\pi\) |
−0.999871 | + | 0.0160553i | \(0.994889\pi\) | |||||||
\(734\) | 19.2362 | + | 5.34758i | 0.710020 | + | 0.197383i | ||||
\(735\) | −50.7040 | − | 5.71297i | −1.87025 | − | 0.210726i | ||||
\(736\) | −37.2313 | + | 11.1042i | −1.37236 | + | 0.409305i | ||||
\(737\) | 4.94979 | − | 14.5816i | 0.182328 | − | 0.537121i | ||||
\(738\) | −1.41290 | + | 21.5567i | −0.0520095 | + | 0.793511i | ||||
\(739\) | −6.55701 | + | 38.5918i | −0.241204 | + | 1.41962i | 0.563584 | + | 0.826059i | \(0.309422\pi\) |
−0.804787 | + | 0.593563i | \(0.797721\pi\) | |||||||
\(740\) | 91.1504 | + | 54.9234i | 3.35075 | + | 2.01903i | ||||
\(741\) | 7.53801 | + | 31.6587i | 0.276916 | + | 1.16301i | ||||
\(742\) | −4.46728 | − | 2.30785i | −0.163999 | − | 0.0847239i | ||||
\(743\) | −7.22791 | − | 2.91503i | −0.265166 | − | 0.106942i | 0.237604 | − | 0.971362i | \(-0.423638\pi\) |
−0.502770 | + | 0.864420i | \(0.667686\pi\) | |||||||
\(744\) | −5.89166 | − | 0.220450i | −0.215999 | − | 0.00808210i | ||||
\(745\) | 5.71641 | + | 0.698270i | 0.209433 | + | 0.0255826i | ||||
\(746\) | 3.01309 | − | 0.0563511i | 0.110317 | − | 0.00206316i | ||||
\(747\) | 32.8014 | + | 7.48671i | 1.20014 | + | 0.273924i | ||||
\(748\) | 32.6650 | − | 54.4335i | 1.19435 | − | 1.99028i | ||||
\(749\) | 3.09155 | − | 4.53447i | 0.112963 | − | 0.165686i | ||||
\(750\) | −16.9752 | − | 28.1719i | −0.619848 | − | 1.02869i | ||||
\(751\) | −12.4892 | + | 2.24235i | −0.455739 | + | 0.0818244i | −0.399785 | − | 0.916609i | \(-0.630915\pi\) |
−0.0559537 | + | 0.998433i | \(0.517820\pi\) | |||||||
\(752\) | 0.674660 | − | 1.92807i | 0.0246023 | − | 0.0703094i | ||||
\(753\) | 31.6795 | − | 53.7046i | 1.15447 | − | 1.95710i | ||||
\(754\) | −0.237781 | − | 0.370686i | −0.00865946 | − | 0.0134996i | ||||
\(755\) | 23.1281 | − | 49.1975i | 0.841719 | − | 1.79048i | ||||
\(756\) | 3.31381 | − | 2.16968i | 0.120522 | − | 0.0789104i | ||||
\(757\) | 2.29615 | − | 24.4862i | 0.0834551 | − | 0.889968i | −0.848931 | − | 0.528504i | \(-0.822753\pi\) |
0.932386 | − | 0.361464i | \(-0.117723\pi\) | |||||||
\(758\) | 34.4717 | + | 36.4619i | 1.25207 | + | 1.32436i | ||||
\(759\) | 11.3350 | − | 63.1326i | 0.411433 | − | 2.29157i | ||||
\(760\) | −19.4716 | + | 15.2324i | −0.706310 | + | 0.552539i | ||||
\(761\) | 0.517661 | − | 13.8348i | 0.0187652 | − | 0.501510i | −0.957946 | − | 0.286950i | \(-0.907359\pi\) |
0.976711 | − | 0.214560i | \(-0.0688318\pi\) | |||||||
\(762\) | 10.5621 | + | 24.8397i | 0.382625 | + | 0.899848i | ||||
\(763\) | 0.284837 | − | 0.988691i | 0.0103118 | − | 0.0357930i | ||||
\(764\) | 1.39531 | + | 1.29466i | 0.0504807 | + | 0.0468392i | ||||
\(765\) | 5.41945 | − | 26.2114i | 0.195941 | − | 0.947674i | ||||
\(766\) | 7.76202 | + | 34.0076i | 0.280453 | + | 1.22875i | ||||
\(767\) | −9.05496 | − | 6.94812i | −0.326956 | − | 0.250882i | ||||
\(768\) | 6.40142 | + | 5.61390i | 0.230991 | + | 0.202574i | ||||
\(769\) | −15.8455 | + | 8.37458i | −0.571403 | + | 0.301995i | −0.727900 | − | 0.685683i | \(-0.759504\pi\) |
0.156497 | + | 0.987678i | \(0.449980\pi\) | |||||||
\(770\) | 22.2696 | + | 7.09796i | 0.802540 | + | 0.255793i | ||||
\(771\) | −5.92945 | − | 48.5416i | −0.213544 | − | 1.74818i | ||||
\(772\) | 65.4464 | − | 38.6058i | 2.35547 | − | 1.38945i | ||||
\(773\) | 0.143902 | + | 0.0596063i | 0.00517581 | + | 0.00214389i | 0.385270 | − | 0.922804i | \(-0.374108\pi\) |
−0.380094 | + | 0.924948i | \(0.624108\pi\) | |||||||
\(774\) | −2.78489 | + | 26.9011i | −0.100101 | + | 0.966940i | ||||
\(775\) | 8.49729 | + | 5.67770i | 0.305232 | + | 0.203949i | ||||
\(776\) | −26.0430 | − | 6.71786i | −0.934889 | − | 0.241157i | ||||
\(777\) | −11.8208 | + | 6.67818i | −0.424070 | + | 0.239578i | ||||
\(778\) | −6.84013 | + | 60.7079i | −0.245231 | + | 2.17648i | ||||
\(779\) | −18.1166 | − | 9.79268i | −0.649094 | − | 0.350859i | ||||
\(780\) | 80.2476 | + | 10.5648i | 2.87333 | + | 0.378280i | ||||
\(781\) | 3.72522 | + | 6.45227i | 0.133299 | + | 0.230880i | ||||
\(782\) | −25.7818 | − | 40.8668i | −0.921955 | − | 1.46140i | ||||
\(783\) | −0.131133 | − | 0.0197651i | −0.00468631 | − | 0.000706348i | ||||
\(784\) | −10.3987 | − | 3.85841i | −0.371384 | − | 0.137800i | ||||
\(785\) | −43.6836 | + | 36.8875i | −1.55914 | + | 1.31657i | ||||
\(786\) | −1.90281 | − | 0.360031i | −0.0678710 | − | 0.0128419i | ||||
\(787\) | 29.2193 | + | 6.95717i | 1.04156 | + | 0.247996i | 0.716419 | − | 0.697671i | \(-0.245780\pi\) |
0.325137 | + | 0.945667i | \(0.394590\pi\) | |||||||
\(788\) | 4.32308 | + | 15.5509i | 0.154003 | + | 0.553977i | ||||
\(789\) | −19.1159 | − | 27.4822i | −0.680544 | − | 0.978393i | ||||
\(790\) | 52.2269 | + | 37.0570i | 1.85815 | + | 1.31843i | ||||
\(791\) | 6.17354 | + | 0.578912i | 0.219506 | + | 0.0205838i | ||||
\(792\) | −17.2356 | + | 6.95113i | −0.612439 | + | 0.246998i | ||||
\(793\) | −42.1140 | + | 15.1798i | −1.49551 | + | 0.539049i | ||||
\(794\) | −46.2778 | + | 66.5320i | −1.64234 | + | 2.36113i | ||||
\(795\) | −29.2043 | − | 10.2190i | −1.03577 | − | 0.362431i | ||||
\(796\) | −16.0606 | + | 4.14288i | −0.569253 | + | 0.146840i | ||||
\(797\) | −23.7730 | + | 22.9001i | −0.842084 | + | 0.811165i | −0.983898 | − | 0.178729i | \(-0.942802\pi\) |
0.141815 | + | 0.989893i | \(0.454706\pi\) | |||||||
\(798\) | −1.60620 | − | 10.6564i | −0.0568588 | − | 0.377233i | ||||
\(799\) | 5.06282 | + | 0.322618i | 0.179110 | + | 0.0114134i | ||||
\(800\) | −14.9433 | − | 48.4451i | −0.528327 | − | 1.71279i | ||||
\(801\) | 7.98353 | − | 1.35646i | 0.282084 | − | 0.0479280i | ||||
\(802\) | 70.5469 | + | 45.2531i | 2.49110 | + | 1.59794i | ||||
\(803\) | 22.9098 | − | 26.6217i | 0.808470 | − | 0.939459i | ||||
\(804\) | −4.09015 | + | 17.1782i | −0.144249 | + | 0.605827i | ||||
\(805\) | 7.29897 | − | 7.43675i | 0.257255 | − | 0.262111i | ||||
\(806\) | −11.5208 | + | 3.67202i | −0.405805 | + | 0.129342i | ||||
\(807\) | −13.1096 | − | 28.5774i | −0.461481 | − | 1.00597i | ||||
\(808\) | 11.3644 | − | 18.8603i | 0.399798 | − | 0.663501i | ||||
\(809\) | −2.34273 | + | 6.13730i | −0.0823660 | + | 0.215776i | −0.969182 | − | 0.246348i | \(-0.920769\pi\) |
0.886816 | + | 0.462124i | \(0.152912\pi\) | |||||||
\(810\) | 63.4573 | − | 55.6505i | 2.22966 | − | 1.95536i | ||||
\(811\) | −14.8535 | + | 0.973553i | −0.521578 | + | 0.0341861i | −0.323919 | − | 0.946085i | \(-0.605001\pi\) |
−0.197659 | + | 0.980271i | \(0.563334\pi\) | |||||||
\(812\) | 0.0399128 | + | 0.0755187i | 0.00140066 | + | 0.00265019i | ||||
\(813\) | −26.9079 | − | 52.0854i | −0.943702 | − | 1.82671i | ||||
\(814\) | −123.682 | + | 40.6988i | −4.33506 | + | 1.42649i | ||||
\(815\) | −14.1010 | + | 29.2810i | −0.493936 | + | 1.02567i | ||||
\(816\) | 6.53425 | − | 13.6317i | 0.228745 | − | 0.477204i | ||||
\(817\) | −22.2020 | − | 13.1058i | −0.776751 | − | 0.458514i | ||||
\(818\) | −50.2974 | + | 20.8339i | −1.75861 | + | 0.728439i | ||||
\(819\) | −2.38986 | + | 3.17557i | −0.0835086 | + | 0.110964i | ||||
\(820\) | −38.8228 | + | 33.4097i | −1.35575 | + | 1.16672i | ||||
\(821\) | 8.76484 | − | 27.4994i | 0.305895 | − | 0.959735i | −0.670161 | − | 0.742216i | \(-0.733775\pi\) |
0.976056 | − | 0.217519i | \(-0.0697964\pi\) | |||||||
\(822\) | −9.21931 | + | 89.3223i | −0.321560 | + | 3.11547i | ||||
\(823\) | −21.6800 | − | 43.9626i | −0.755716 | − | 1.53244i | −0.843998 | − | 0.536346i | \(-0.819804\pi\) |
0.0882819 | − | 0.996096i | \(-0.471862\pi\) | |||||||
\(824\) | 3.27843 | + | 24.9022i | 0.114210 | + | 0.867509i | ||||
\(825\) | 82.5157 | + | 14.0200i | 2.87283 | + | 0.488113i | ||||
\(826\) | 2.79453 | + | 2.54474i | 0.0972341 | + | 0.0885427i | ||||
\(827\) | 14.8631 | − | 24.1529i | 0.516840 | − | 0.839877i | −0.482511 | − | 0.875890i | \(-0.660275\pi\) |
0.999351 | + | 0.0360128i | \(0.0114657\pi\) | |||||||
\(828\) | −2.37943 | + | 28.2093i | −0.0826909 | + | 0.980342i | ||||
\(829\) | 7.87802 | − | 41.6363i | 0.273615 | − | 1.44609i | −0.528507 | − | 0.848929i | \(-0.677248\pi\) |
0.802122 | − | 0.597161i | \(-0.203705\pi\) | |||||||
\(830\) | 71.3785 | + | 115.992i | 2.47759 | + | 4.02613i | ||||
\(831\) | 3.51370 | − | 1.77380i | 0.121889 | − | 0.0615323i | ||||
\(832\) | 44.2542 | + | 17.3685i | 1.53424 | + | 0.602144i | ||||
\(833\) | 2.26549 | − | 27.4527i | 0.0784947 | − | 0.951180i | ||||
\(834\) | 48.5236 | − | 14.9675i | 1.68023 | − | 0.518284i | ||||
\(835\) | 10.8039 | − | 51.7797i | 0.373884 | − | 1.79191i | ||||
\(836\) | 2.82896 | − | 60.4686i | 0.0978416 | − | 2.09135i | ||||
\(837\) | −1.45608 | + | 3.33736i | −0.0503294 | + | 0.115356i | ||||
\(838\) | −15.0191 | − | 8.85953i | −0.518826 | − | 0.306047i | ||||
\(839\) | 1.27204 | + | 1.69025i | 0.0439157 | + | 0.0583538i | 0.820435 | − | 0.571739i | \(-0.193731\pi\) |
−0.776520 | + | 0.630093i | \(0.783017\pi\) | |||||||
\(840\) | −7.66365 | − | 1.67395i | −0.264421 | − | 0.0577567i | ||||
\(841\) | −6.97996 | + | 28.1445i | −0.240688 | + | 0.970501i | ||||
\(842\) | −16.3855 | − | 25.0260i | −0.564681 | − | 0.862453i | ||||
\(843\) | −1.57463 | + | 5.27959i | −0.0542332 | + | 0.181839i | ||||
\(844\) | 1.72853 | − | 61.6072i | 0.0594985 | − | 2.12061i | ||||
\(845\) | 3.54162 | − | 0.773586i | 0.121835 | − | 0.0266122i | ||||
\(846\) | −3.84637 | − | 3.31007i | −0.132241 | − | 0.113803i | ||||
\(847\) | −8.97327 | + | 5.52193i | −0.308325 | + | 0.189736i | ||||
\(848\) | −5.62689 | − | 3.68414i | −0.193228 | − | 0.126514i | ||||
\(849\) | −11.3197 | + | 14.1945i | −0.388492 | + | 0.487154i | ||||
\(850\) | 53.0099 | − | 34.1395i | 1.81822 | − | 1.17098i | ||||
\(851\) | −8.65157 | + | 57.3994i | −0.296572 | + | 1.96763i | ||||
\(852\) | −4.94398 | − | 6.96789i | −0.169378 | − | 0.238716i | ||||
\(853\) | −3.95478 | − | 11.6504i | −0.135409 | − | 0.398902i | 0.857982 | − | 0.513679i | \(-0.171718\pi\) |
−0.993391 | + | 0.114777i | \(0.963385\pi\) | |||||||
\(854\) | 14.3191 | − | 3.83679i | 0.489989 | − | 0.131292i | ||||
\(855\) | −7.29467 | − | 24.4583i | −0.249472 | − | 0.836457i | ||||
\(856\) | −11.3963 | + | 13.4960i | −0.389518 | + | 0.461282i | ||||
\(857\) | 4.90972 | + | 3.84082i | 0.167713 | + | 0.131200i | 0.696507 | − | 0.717550i | \(-0.254737\pi\) |
−0.528794 | + | 0.848750i | \(0.677356\pi\) | |||||||
\(858\) | −73.8427 | + | 65.9898i | −2.52095 | + | 2.25286i | ||||
\(859\) | 9.70624 | − | 23.4329i | 0.331173 | − | 0.799521i | −0.667327 | − | 0.744765i | \(-0.732562\pi\) |
0.998500 | − | 0.0547567i | \(-0.0174383\pi\) | |||||||
\(860\) | −50.1447 | + | 39.9640i | −1.70992 | + | 1.36276i | ||||
\(861\) | −1.27482 | − | 6.40895i | −0.0434457 | − | 0.218416i | ||||
\(862\) | −6.34492 | − | 44.9432i | −0.216109 | − | 1.53077i | ||||
\(863\) | 19.8501 | + | 23.0663i | 0.675706 | + | 0.785185i | 0.986230 | − | 0.165381i | \(-0.0528852\pi\) |
−0.310523 | + | 0.950566i | \(0.600504\pi\) | |||||||
\(864\) | 16.0481 | − | 8.29066i | 0.545969 | − | 0.282054i | ||||
\(865\) | −2.79131 | + | 0.261750i | −0.0949075 | + | 0.00889978i | ||||
\(866\) | −4.80564 | − | 2.77453i | −0.163302 | − | 0.0942825i | ||||
\(867\) | 36.9760 | + | 6.50047i | 1.25577 | + | 0.220767i | ||||
\(868\) | 2.28649 | − | 0.521876i | 0.0776085 | − | 0.0177136i | ||||
\(869\) | −44.5422 | + | 11.0466i | −1.51099 | + | 0.374732i | ||||
\(870\) | 0.526112 | + | 0.726986i | 0.0178369 | + | 0.0246471i | ||||
\(871\) | 1.18674 | + | 10.5326i | 0.0402112 | + | 0.356884i | ||||
\(872\) | −1.23865 | + | 3.07127i | −0.0419459 | + | 0.104006i | ||||
\(873\) | 16.2790 | − | 22.4945i | 0.550961 | − | 0.761323i | ||||
\(874\) | −40.1168 | − | 22.6640i | −1.35697 | − | 0.766621i | ||||
\(875\) | 2.75779 | + | 2.65653i | 0.0932302 | + | 0.0898070i | ||||
\(876\) | −23.3065 | + | 32.8475i | −0.787455 | + | 1.10981i | ||||
\(877\) | −9.00212 | − | 2.68487i | −0.303980 | − | 0.0906616i | 0.130200 | − | 0.991488i | \(-0.458438\pi\) |
−0.434180 | + | 0.900826i | \(0.642962\pi\) | |||||||
\(878\) | −24.5615 | − | 10.4438i | −0.828909 | − | 0.352461i | ||||
\(879\) | 11.0734 | + | 12.1603i | 0.373495 | + | 0.410157i | ||||
\(880\) | 28.6555 | + | 12.5023i | 0.965976 | + | 0.421451i | ||||
\(881\) | 5.82675 | + | 22.5884i | 0.196308 | + | 0.761024i | 0.988560 | + | 0.150829i | \(0.0481944\pi\) |
−0.792252 | + | 0.610194i | \(0.791091\pi\) | |||||||
\(882\) | −18.3605 | + | 20.5454i | −0.618231 | + | 0.691801i | ||||
\(883\) | −23.5777 | + | 9.25357i | −0.793454 | + | 0.311408i | −0.727227 | − | 0.686397i | \(-0.759191\pi\) |
−0.0662265 | + | 0.997805i | \(0.521096\pi\) | |||||||
\(884\) | −4.40739 | + | 43.4730i | −0.148237 | + | 1.46216i | ||||
\(885\) | 19.2160 | + | 13.1012i | 0.645938 | + | 0.440393i | ||||
\(886\) | 31.5934 | + | 38.1317i | 1.06140 | + | 1.28106i | ||||
\(887\) | −15.3699 | − | 6.87758i | −0.516070 | − | 0.230927i | 0.133749 | − | 0.991015i | \(-0.457298\pi\) |
−0.649820 | + | 0.760089i | \(0.725156\pi\) | |||||||
\(888\) | 40.0524 | − | 17.4747i | 1.34407 | − | 0.586412i | ||||
\(889\) | −1.93620 | − | 2.47505i | −0.0649382 | − | 0.0830104i | ||||
\(890\) | 26.5559 | + | 19.2182i | 0.890156 | + | 0.644196i | ||||
\(891\) | 0.565529 | + | 60.4828i | 0.0189459 | + | 2.02625i | ||||
\(892\) | −41.1235 | + | 22.7282i | −1.37692 | + | 0.760996i | ||||
\(893\) | 4.39695 | − | 2.01706i | 0.147138 | − | 0.0674984i | ||||
\(894\) | 5.44023 | − | 5.97424i | 0.181948 | − | 0.199809i | ||||
\(895\) | 28.3354 | − | 12.6793i | 0.947146 | − | 0.423821i | ||||
\(896\) | −6.73856 | − | 3.32309i | −0.225119 | − | 0.111017i | ||||
\(897\) | 11.4269 | + | 42.6456i | 0.381531 | + | 1.42389i | ||||
\(898\) | −30.4762 | + | 56.3814i | −1.01700 | + | 1.88147i | ||||
\(899\) | −0.0687243 | − | 0.0379826i | −0.00229208 | − | 0.00126679i | ||||
\(900\) | −36.8375 | − | 2.76059i | −1.22792 | − | 0.0920197i | ||||
\(901\) | 5.04357 | − | 15.9237i | 0.168026 | − | 0.530497i | ||||
\(902\) | − | 62.6681i | − | 2.08662i | ||||||
\(903\) | −1.29236 | − | 8.07788i | −0.0430072 | − | 0.268815i | ||||
\(904\) | −19.5739 | − | 3.89349i | −0.651019 | − | 0.129496i | ||||
\(905\) | 3.11264 | + | 8.89542i | 0.103468 | + | 0.295694i | ||||
\(906\) | −37.5178 | − | 66.4091i | −1.24645 | − | 2.20629i | ||||
\(907\) | −13.4493 | − | 11.3570i | −0.446578 | − | 0.377102i | 0.393716 | − | 0.919232i | \(-0.371189\pi\) |
−0.840294 | + | 0.542130i | \(0.817618\pi\) | |||||||
\(908\) | 27.2052 | + | 33.4675i | 0.902838 | + | 1.11066i | ||||
\(909\) | 13.8390 | + | 18.0353i | 0.459011 | + | 0.598194i | ||||
\(910\) | −15.9506 | + | 2.09994i | −0.528758 | + | 0.0696124i | ||||
\(911\) | 30.1461 | + | 11.5074i | 0.998786 | + | 0.381257i | 0.800789 | − | 0.598946i | \(-0.204414\pi\) |
0.197997 | + | 0.980203i | \(0.436557\pi\) | |||||||
\(912\) | −0.673652 | − | 14.3992i | −0.0223068 | − | 0.476805i | ||||
\(913\) | −96.3708 | − | 15.4484i | −3.18941 | − | 0.511268i | ||||
\(914\) | −7.92220 | + | 0.892618i | −0.262043 | + | 0.0295252i | ||||
\(915\) | 83.9456 | − | 35.6946i | 2.77516 | − | 1.18003i | ||||
\(916\) | 56.0075 | + | 25.6929i | 1.85054 | + | 0.848918i | ||||
\(917\) | 0.224825 | − | 0.0168483i | 0.00742438 | − | 0.000556380i | ||||
\(918\) | 15.3099 | + | 16.4403i | 0.505302 | + | 0.542610i | ||||
\(919\) | −10.0908 | + | 44.2105i | −0.332863 | + | 1.45837i | 0.480696 | + | 0.876887i | \(0.340384\pi\) |
−0.813560 | + | 0.581482i | \(0.802473\pi\) | |||||||
\(920\) | −25.8259 | + | 21.3976i | −0.851454 | + | 0.705457i | ||||
\(921\) | −18.2418 | + | 17.9038i | −0.601088 | + | 0.589951i | ||||
\(922\) | 40.4239 | + | 29.8342i | 1.33129 | + | 0.982536i | ||||
\(923\) | −4.20997 | − | 2.92834i | −0.138573 | − | 0.0963875i | ||||
\(924\) | 15.3473 | − | 11.5500i | 0.504889 | − | 0.379968i | ||||
\(925\) | −75.0022 | − | 10.5886i | −2.46606 | − | 0.348149i | ||||
\(926\) | −50.5070 | − | 0.944588i | −1.65976 | − | 0.0310411i | ||||
\(927\) | −25.1685 | − | 6.24190i | −0.826642 | − | 0.205011i | ||||
\(928\) | 0.145696 | + | 0.361259i | 0.00478272 | + | 0.0118589i | ||||
\(929\) | 13.4803 | − | 7.28663i | 0.442276 | − | 0.239066i | −0.239108 | − | 0.970993i | \(-0.576855\pi\) |
0.681383 | + | 0.731927i | \(0.261379\pi\) | |||||||
\(930\) | 23.0194 | − | 8.78696i | 0.754835 | − | 0.288136i | ||||
\(931\) | −10.5040 | − | 24.0753i | −0.344253 | − | 0.789037i | ||||
\(932\) | −3.18939 | + | 26.1100i | −0.104472 | + | 0.855262i | ||||
\(933\) | 4.10119 | − | 8.94011i | 0.134267 | − | 0.292686i | ||||
\(934\) | 34.2643 | + | 50.2566i | 1.12116 | + | 1.64444i | ||||
\(935\) | −10.7146 | + | 76.9023i | −0.350406 | + | 2.51497i | ||||
\(936\) | 8.70076 | − | 9.37719i | 0.284393 | − | 0.306503i | ||||
\(937\) | 11.1437 | + | 44.9336i | 0.364050 | + | 1.46792i | 0.817133 | + | 0.576449i | \(0.195562\pi\) |
−0.453084 | + | 0.891468i | \(0.649676\pi\) | |||||||
\(938\) | −0.0984400 | − | 3.50854i | −0.00321418 | − | 0.114558i | ||||
\(939\) | −28.0177 | − | 7.50731i | −0.914321 | − | 0.244992i | ||||
\(940\) | −0.786897 | − | 12.0057i | −0.0256658 | − | 0.391584i | ||||
\(941\) | −0.885125 | − | 0.0913573i | −0.0288543 | − | 0.00297816i | 0.0882306 | − | 0.996100i | \(-0.471879\pi\) |
−0.117085 | + | 0.993122i | \(0.537355\pi\) | |||||||
\(942\) | 6.74250 | + | 79.9358i | 0.219683 | + | 2.60445i | ||||
\(943\) | −24.9405 | − | 12.5905i | −0.812174 | − | 0.410004i | ||||
\(944\) | 3.36872 | + | 3.76960i | 0.109643 | + | 0.122690i | ||||
\(945\) | −2.69151 | + | 4.02813i | −0.0875548 | + | 0.131035i | ||||
\(946\) | 2.95751 | − | 78.3990i | 0.0961569 | − | 2.54897i | ||||
\(947\) | 19.5371 | − | 13.0543i | 0.634871 | − | 0.424207i | −0.196053 | − | 0.980593i | \(-0.562812\pi\) |
0.830924 | + | 0.556386i | \(0.187812\pi\) | |||||||
\(948\) | 49.6723 | − | 17.3811i | 1.61328 | − | 0.564511i | ||||
\(949\) | −6.47506 | + | 23.2919i | −0.210189 | + | 0.756088i | ||||
\(950\) | 29.0833 | − | 52.6223i | 0.943587 | − | 1.70729i | ||||
\(951\) | 31.7038 | + | 9.77931i | 1.02806 | + | 0.317116i | ||||
\(952\) | 0.779755 | − | 4.16240i | 0.0252720 | − | 0.134904i | ||||
\(953\) | −41.5687 | + | 23.9997i | −1.34654 | + | 0.777426i | −0.987758 | − | 0.155995i | \(-0.950142\pi\) |
−0.358783 | + | 0.933421i | \(0.616808\pi\) | |||||||
\(954\) | −13.6266 | + | 9.66858i | −0.441177 | + | 0.313032i | ||||
\(955\) | −2.19015 | − | 0.789429i | −0.0708717 | − | 0.0255453i | ||||
\(956\) | 66.2883 | − | 2.48033i | 2.14392 | − | 0.0802197i | ||||
\(957\) | −0.640818 | − | 0.0540524i | −0.0207147 | − | 0.00174726i | ||||
\(958\) | 45.6506 | + | 44.8049i | 1.47491 | + | 1.44758i | ||||
\(959\) | −1.65469 | − | 10.3224i | −0.0534328 | − | 0.333326i | ||||
\(960\) | −92.0186 | − | 30.2796i | −2.96989 | − | 0.977270i | ||||
\(961\) | 20.0109 | − | 20.7736i | 0.645512 | − | 0.670117i | ||||
\(962\) | 65.1255 | − | 61.5707i | 2.09973 | − | 1.98512i | ||||
\(963\) | −8.67168 | − | 16.0427i | −0.279441 | − | 0.516969i | ||||
\(964\) | −0.124920 | + | 13.3601i | −0.00402341 | + | 0.430299i | ||||
\(965\) | −55.1876 | + | 74.7765i | −1.77655 | + | 2.40714i | ||||
\(966\) | −2.58362 | − | 14.3901i | −0.0831267 | − | 0.462992i | ||||
\(967\) | −1.83676 | − | 1.64143i | −0.0590662 | − | 0.0527847i | 0.636291 | − | 0.771449i | \(-0.280468\pi\) |
−0.695357 | + | 0.718665i | \(0.744754\pi\) | |||||||
\(968\) | 30.5536 | − | 14.7138i | 0.982028 | − | 0.472920i | ||||
\(969\) | 33.9858 | − | 11.2517i | 1.09178 | − | 0.361456i | ||||
\(970\) | 111.145 | − | 16.7525i | 3.56866 | − | 0.537889i | ||||
\(971\) | −58.9754 | − | 12.3053i | −1.89261 | − | 0.394895i | −0.894023 | − | 0.448021i | \(-0.852129\pi\) |
−0.998588 | + | 0.0531268i | \(0.983081\pi\) | |||||||
\(972\) | −4.96152 | − | 48.0702i | −0.159141 | − | 1.54185i | ||||
\(973\) | −5.00562 | + | 3.14524i | −0.160473 | + | 0.100832i | ||||
\(974\) | 7.40028 | + | 33.8799i | 0.237120 | + | 1.08558i | ||||
\(975\) | −55.5060 | + | 15.4304i | −1.77761 | + | 0.494169i | ||||
\(976\) | 19.5788 | − | 3.13852i | 0.626701 | − | 0.100461i | ||||
\(977\) | 0.0738057 | + | 0.353729i | 0.00236125 | + | 0.0113168i | 0.980083 | − | 0.198590i | \(-0.0636363\pi\) |
−0.977721 | + | 0.209907i | \(0.932684\pi\) | |||||||
\(978\) | 22.0570 | + | 39.9091i | 0.705304 | + | 1.27615i | ||||
\(979\) | −22.8526 | + | 5.44124i | −0.730371 | + | 0.173903i | ||||
\(980\) | −65.2576 | + | 3.05301i | −2.08458 | + | 0.0975249i | ||||
\(981\) | −2.48442 | − | 2.34881i | −0.0793213 | − | 0.0749917i | ||||
\(982\) | 15.9877 | − | 59.6669i | 0.510188 | − | 1.90405i | ||||
\(983\) | 28.4830 | − | 32.4786i | 0.908466 | − | 1.03591i | −0.0907321 | − | 0.995875i | \(-0.528921\pi\) |
0.999198 | − | 0.0400319i | \(-0.0127460\pi\) | |||||||
\(984\) | 1.96363 | + | 20.9402i | 0.0625981 | + | 0.667548i | ||||
\(985\) | −12.3086 | − | 15.4346i | −0.392186 | − | 0.491786i | ||||
\(986\) | −0.383811 | + | 0.295616i | −0.0122230 | + | 0.00941432i | ||||
\(987\) | 1.38296 | + | 0.665997i | 0.0440200 | + | 0.0211989i | ||||
\(988\) | 15.9453 | + | 38.4953i | 0.507287 | + | 1.22470i | ||||
\(989\) | −30.6068 | − | 16.9280i | −0.973240 | − | 0.538280i | ||||
\(990\) | 54.9193 | − | 54.9193i | 1.74545 | − | 1.74545i | ||||
\(991\) | 32.2538 | − | 4.55348i | 1.02458 | − | 0.144646i | 0.392661 | − | 0.919683i | \(-0.371555\pi\) |
0.631916 | + | 0.775037i | \(0.282269\pi\) | |||||||
\(992\) | 10.6164 | − | 1.29682i | 0.337072 | − | 0.0411740i | ||||
\(993\) | 62.0113 | − | 5.23059i | 1.96787 | − | 0.165988i | ||||
\(994\) | 1.30768 | + | 1.08346i | 0.0414772 | + | 0.0343652i | ||||
\(995\) | 16.0945 | − | 12.3498i | 0.510231 | − | 0.391514i | ||||
\(996\) | 111.683 | + | 7.32009i | 3.53881 | + | 0.231946i | ||||
\(997\) | −18.0850 | − | 40.4161i | −0.572758 | − | 1.27999i | −0.937210 | − | 0.348767i | \(-0.886601\pi\) |
0.364451 | − | 0.931222i | \(-0.381257\pi\) | |||||||
\(998\) | −40.1491 | + | 18.8744i | −1.27090 | + | 0.597458i | ||||
\(999\) | −1.00910 | − | 26.9689i | −0.0319267 | − | 0.853258i |
(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 | 731.2.bm.a.3.10 | ✓ | 6144 | |
17.6 | odd | 16 | inner | 731.2.bm.a.261.10 | yes | 6144 | |
43.29 | odd | 42 | inner | 731.2.bm.a.717.10 | yes | 6144 | |
731.244 | even | 336 | inner | 731.2.bm.a.244.10 | yes | 6144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
731.2.bm.a.3.10 | ✓ | 6144 | 1.1 | even | 1 | trivial | |
731.2.bm.a.244.10 | yes | 6144 | 731.244 | even | 336 | inner | |
731.2.bm.a.261.10 | yes | 6144 | 17.6 | odd | 16 | inner | |
731.2.bm.a.717.10 | yes | 6144 | 43.29 | odd | 42 | inner |