Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [637,2,Mod(53,637)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(637, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([10, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("637.53");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 637 = 7^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 637.bl (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.08647060876\) |
Analytic rank: | \(0\) |
Dimension: | \(324\) |
Relative dimension: | \(27\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 53.26 | ||
Character | \(\chi\) | \(=\) | 637.53 |
Dual form | 637.2.bl.a.625.26 |
$q$-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 \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(248\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.11124 | + | 1.43942i | 1.49287 | + | 1.01782i | 0.987969 | + | 0.154650i | \(0.0494249\pi\) |
0.504905 | + | 0.863175i | \(0.331528\pi\) | |||||||
\(3\) | 1.10080 | + | 1.02139i | 0.635546 | + | 0.589700i | 0.930715 | − | 0.365745i | \(-0.119186\pi\) |
−0.295169 | + | 0.955445i | \(0.595376\pi\) | |||||||
\(4\) | 1.65473 | + | 4.21619i | 0.827366 | + | 2.10809i | ||||
\(5\) | 1.18938 | − | 0.366875i | 0.531906 | − | 0.164071i | −0.0171559 | − | 0.999853i | \(-0.505461\pi\) |
0.549062 | + | 0.835781i | \(0.314985\pi\) | |||||||
\(6\) | 0.853840 | + | 3.74092i | 0.348579 | + | 1.52722i | ||||
\(7\) | −2.52250 | + | 0.798115i | −0.953416 | + | 0.301659i | ||||
\(8\) | −1.43814 | + | 6.30090i | −0.508459 | + | 2.22770i | ||||
\(9\) | −0.0556743 | − | 0.742922i | −0.0185581 | − | 0.247641i | ||||
\(10\) | 3.03916 | + | 0.937455i | 0.961065 | + | 0.296449i | ||||
\(11\) | 0.146357 | − | 1.95300i | 0.0441284 | − | 0.588853i | −0.930684 | − | 0.365825i | \(-0.880787\pi\) |
0.974812 | − | 0.223028i | \(-0.0715941\pi\) | |||||||
\(12\) | −2.48485 | + | 6.33130i | −0.717315 | + | 1.82769i | ||||
\(13\) | 0.900969 | − | 0.433884i | 0.249884 | − | 0.120338i | ||||
\(14\) | −6.47444 | − | 1.94593i | −1.73037 | − | 0.520071i | ||||
\(15\) | 1.68399 | + | 0.810966i | 0.434804 | + | 0.209391i | ||||
\(16\) | −5.46551 | + | 5.07125i | −1.36638 | + | 1.26781i | ||||
\(17\) | −2.84540 | + | 0.428874i | −0.690110 | + | 0.104017i | −0.484728 | − | 0.874665i | \(-0.661082\pi\) |
−0.205381 | + | 0.978682i | \(0.565843\pi\) | |||||||
\(18\) | 0.951835 | − | 1.64863i | 0.224350 | − | 0.388585i | ||||
\(19\) | 0.682942 | + | 1.18289i | 0.156678 | + | 0.271373i | 0.933669 | − | 0.358138i | \(-0.116588\pi\) |
−0.776991 | + | 0.629512i | \(0.783255\pi\) | |||||||
\(20\) | 3.51492 | + | 4.40757i | 0.785959 | + | 0.985562i | ||||
\(21\) | −3.59195 | − | 1.69790i | −0.783828 | − | 0.370511i | ||||
\(22\) | 3.12019 | − | 3.91260i | 0.665227 | − | 0.834168i | ||||
\(23\) | 7.33596 | + | 1.10572i | 1.52965 | + | 0.230558i | 0.859295 | − | 0.511480i | \(-0.170903\pi\) |
0.670358 | + | 0.742038i | \(0.266141\pi\) | |||||||
\(24\) | −8.01878 | + | 5.46711i | −1.63683 | + | 1.11597i | ||||
\(25\) | −2.85117 | + | 1.94389i | −0.570234 | + | 0.388779i | ||||
\(26\) | 2.52671 | + | 0.380840i | 0.495528 | + | 0.0746888i | ||||
\(27\) | 3.50634 | − | 4.39682i | 0.674796 | − | 0.846168i | ||||
\(28\) | −7.53907 | − | 9.31467i | −1.42475 | − | 1.76031i | ||||
\(29\) | −5.89378 | − | 7.39056i | −1.09445 | − | 1.37239i | −0.921916 | − | 0.387389i | \(-0.873377\pi\) |
−0.172531 | − | 0.985004i | \(-0.555194\pi\) | |||||||
\(30\) | 2.38799 | + | 4.13611i | 0.435985 | + | 0.755148i | ||||
\(31\) | 0.371359 | − | 0.643212i | 0.0666980 | − | 0.115524i | −0.830748 | − | 0.556649i | \(-0.812087\pi\) |
0.897446 | + | 0.441124i | \(0.145420\pi\) | |||||||
\(32\) | −6.05718 | + | 0.912973i | −1.07077 | + | 0.161392i | ||||
\(33\) | 2.15589 | − | 2.00037i | 0.375292 | − | 0.348220i | ||||
\(34\) | −6.62465 | − | 3.19026i | −1.13612 | − | 0.547126i | ||||
\(35\) | −2.70740 | + | 1.87470i | −0.457634 | + | 0.316883i | ||||
\(36\) | 3.04017 | − | 1.46407i | 0.506695 | − | 0.244012i | ||||
\(37\) | 2.72620 | − | 6.94624i | 0.448184 | − | 1.14195i | −0.511103 | − | 0.859520i | \(-0.670763\pi\) |
0.959287 | − | 0.282435i | \(-0.0911420\pi\) | |||||||
\(38\) | −0.260821 | + | 3.48041i | −0.0423107 | + | 0.564597i | ||||
\(39\) | 1.43495 | + | 0.442623i | 0.229776 | + | 0.0708764i | ||||
\(40\) | 0.601149 | + | 8.02177i | 0.0950499 | + | 1.26835i | ||||
\(41\) | −1.96869 | + | 8.62539i | −0.307458 | + | 1.34706i | 0.551142 | + | 0.834412i | \(0.314192\pi\) |
−0.858599 | + | 0.512648i | \(0.828665\pi\) | |||||||
\(42\) | −5.13949 | − | 8.75500i | −0.793041 | − | 1.35093i | ||||
\(43\) | −0.267151 | − | 1.17046i | −0.0407401 | − | 0.178494i | 0.950464 | − | 0.310834i | \(-0.100608\pi\) |
−0.991204 | + | 0.132339i | \(0.957751\pi\) | |||||||
\(44\) | 8.47642 | − | 2.61463i | 1.27787 | − | 0.394170i | ||||
\(45\) | −0.338777 | − | 0.863190i | −0.0505019 | − | 0.128677i | ||||
\(46\) | 13.8964 | + | 12.8940i | 2.04891 | + | 1.90111i | ||||
\(47\) | −0.330699 | − | 0.225467i | −0.0482374 | − | 0.0328877i | 0.538961 | − | 0.842331i | \(-0.318817\pi\) |
−0.587199 | + | 0.809443i | \(0.699769\pi\) | |||||||
\(48\) | −11.1961 | −1.61602 | ||||||||
\(49\) | 5.72602 | − | 4.02649i | 0.818003 | − | 0.575213i | ||||
\(50\) | −8.81759 | −1.24700 | ||||||||
\(51\) | −3.57025 | − | 2.43416i | −0.499935 | − | 0.340850i | ||||
\(52\) | 3.32020 | + | 3.08069i | 0.460429 | + | 0.427215i | ||||
\(53\) | 1.43822 | + | 3.66452i | 0.197555 | + | 0.503361i | 0.994982 | − | 0.100054i | \(-0.0319016\pi\) |
−0.797427 | + | 0.603415i | \(0.793806\pi\) | |||||||
\(54\) | 13.7316 | − | 4.23564i | 1.86864 | − | 0.576398i | ||||
\(55\) | −0.542434 | − | 2.37656i | −0.0731417 | − | 0.320455i | ||||
\(56\) | −1.40114 | − | 17.0418i | −0.187235 | − | 2.27731i | ||||
\(57\) | −0.456412 | + | 1.99967i | −0.0604533 | + | 0.264863i | ||||
\(58\) | −1.80506 | − | 24.0869i | −0.237017 | − | 3.16277i | ||||
\(59\) | −5.14154 | − | 1.58596i | −0.669372 | − | 0.206474i | −0.0586013 | − | 0.998281i | \(-0.518664\pi\) |
−0.610771 | + | 0.791808i | \(0.709140\pi\) | |||||||
\(60\) | −0.632636 | + | 8.44194i | −0.0816730 | + | 1.08985i | ||||
\(61\) | −2.46157 | + | 6.27197i | −0.315171 | + | 0.803043i | 0.682240 | + | 0.731129i | \(0.261006\pi\) |
−0.997411 | + | 0.0719144i | \(0.977089\pi\) | |||||||
\(62\) | 1.70988 | − | 0.823436i | 0.217155 | − | 0.104576i | ||||
\(63\) | 0.733375 | + | 1.82959i | 0.0923966 | + | 0.230506i | ||||
\(64\) | −0.667403 | − | 0.321404i | −0.0834253 | − | 0.0401755i | ||||
\(65\) | 0.912412 | − | 0.846595i | 0.113171 | − | 0.105007i | ||||
\(66\) | 7.43099 | − | 1.12004i | 0.914692 | − | 0.137868i | ||||
\(67\) | 7.34068 | − | 12.7144i | 0.896807 | − | 1.55331i | 0.0652542 | − | 0.997869i | \(-0.479214\pi\) |
0.831553 | − | 0.555446i | \(-0.187452\pi\) | |||||||
\(68\) | −6.51658 | − | 11.2871i | −0.790252 | − | 1.36876i | ||||
\(69\) | 6.94604 | + | 8.71005i | 0.836204 | + | 1.04857i | ||||
\(70\) | −8.41447 | + | 0.0608646i | −1.00572 | + | 0.00727471i | ||||
\(71\) | −4.45024 | + | 5.58042i | −0.528146 | + | 0.662274i | −0.972316 | − | 0.233668i | \(-0.924927\pi\) |
0.444170 | + | 0.895942i | \(0.353499\pi\) | |||||||
\(72\) | 4.76114 | + | 0.717626i | 0.561106 | + | 0.0845731i | ||||
\(73\) | −6.17997 | + | 4.21343i | −0.723311 | + | 0.493145i | −0.868145 | − | 0.496311i | \(-0.834688\pi\) |
0.144834 | + | 0.989456i | \(0.453735\pi\) | |||||||
\(74\) | 15.7542 | − | 10.7410i | 1.83139 | − | 1.24862i | ||||
\(75\) | −5.12404 | − | 0.772324i | −0.591673 | − | 0.0891803i | ||||
\(76\) | −3.85720 | + | 4.83678i | −0.442451 | + | 0.554816i | ||||
\(77\) | 1.18954 | + | 5.04326i | 0.135560 | + | 0.574733i | ||||
\(78\) | 2.39241 | + | 2.99998i | 0.270887 | + | 0.339681i | ||||
\(79\) | 1.46684 | + | 2.54065i | 0.165033 | + | 0.285845i | 0.936667 | − | 0.350222i | \(-0.113894\pi\) |
−0.771634 | + | 0.636067i | \(0.780560\pi\) | |||||||
\(80\) | −4.64005 | + | 8.03680i | −0.518773 | + | 0.898541i | ||||
\(81\) | 6.14059 | − | 0.925546i | 0.682288 | − | 0.102838i | ||||
\(82\) | −16.5719 | + | 15.3765i | −1.83007 | + | 1.69805i | ||||
\(83\) | −12.2530 | − | 5.90075i | −1.34494 | − | 0.647691i | −0.383718 | − | 0.923450i | \(-0.625357\pi\) |
−0.961227 | + | 0.275759i | \(0.911071\pi\) | |||||||
\(84\) | 1.21493 | − | 17.9539i | 0.132560 | − | 1.95893i | ||||
\(85\) | −3.22691 | + | 1.55400i | −0.350008 | + | 0.168555i | ||||
\(86\) | 1.12077 | − | 2.85568i | 0.120856 | − | 0.307936i | ||||
\(87\) | 1.06080 | − | 14.1554i | 0.113729 | − | 1.51761i | ||||
\(88\) | 12.0952 | + | 3.73087i | 1.28935 | + | 0.397712i | ||||
\(89\) | 0.894049 | + | 11.9303i | 0.0947690 | + | 1.26460i | 0.818494 | + | 0.574516i | \(0.194810\pi\) |
−0.723725 | + | 0.690089i | \(0.757571\pi\) | |||||||
\(90\) | 0.527253 | − | 2.31005i | 0.0555773 | − | 0.243500i | ||||
\(91\) | −1.92641 | + | 1.81355i | −0.201942 | + | 0.190112i | ||||
\(92\) | 7.47713 | + | 32.7595i | 0.779545 | + | 3.41541i | ||||
\(93\) | 1.06576 | − | 0.328744i | 0.110514 | − | 0.0340892i | ||||
\(94\) | −0.373644 | − | 0.952031i | −0.0385385 | − | 0.0981945i | ||||
\(95\) | 1.24625 | + | 1.15635i | 0.127862 | + | 0.118639i | ||||
\(96\) | −7.60024 | − | 5.18175i | −0.775696 | − | 0.528860i | ||||
\(97\) | −1.27511 | −0.129468 | −0.0647341 | − | 0.997903i | \(-0.520620\pi\) | ||||
−0.0647341 | + | 0.997903i | \(0.520620\pi\) | |||||||
\(98\) | 17.8848 | − | 0.258747i | 1.80664 | − | 0.0261374i | ||||
\(99\) | −1.45908 | −0.146643 | ||||||||
\(100\) | −12.9137 | − | 8.80444i | −1.29137 | − | 0.880444i | ||||
\(101\) | −5.65826 | − | 5.25010i | −0.563018 | − | 0.522404i | 0.346511 | − | 0.938046i | \(-0.387366\pi\) |
−0.909528 | + | 0.415642i | \(0.863557\pi\) | |||||||
\(102\) | −4.03389 | − | 10.2782i | −0.399415 | − | 1.01769i | ||||
\(103\) | −11.7687 | + | 3.63016i | −1.15960 | + | 0.357690i | −0.814098 | − | 0.580727i | \(-0.802768\pi\) |
−0.345505 | + | 0.938417i | \(0.612292\pi\) | |||||||
\(104\) | 1.43814 | + | 6.30090i | 0.141021 | + | 0.617854i | ||||
\(105\) | −4.89511 | − | 0.701646i | −0.477713 | − | 0.0684736i | ||||
\(106\) | −2.23836 | + | 9.80690i | −0.217409 | + | 0.952530i | ||||
\(107\) | −0.446153 | − | 5.95350i | −0.0431313 | − | 0.575547i | −0.976344 | − | 0.216223i | \(-0.930626\pi\) |
0.933213 | − | 0.359324i | \(-0.116993\pi\) | |||||||
\(108\) | 24.3399 | + | 7.50786i | 2.34211 | + | 0.722444i | ||||
\(109\) | −0.890502 | + | 11.8829i | −0.0852946 | + | 1.13818i | 0.776226 | + | 0.630455i | \(0.217131\pi\) |
−0.861521 | + | 0.507722i | \(0.830488\pi\) | |||||||
\(110\) | 2.27566 | − | 5.79828i | 0.216975 | − | 0.552844i | ||||
\(111\) | 10.0958 | − | 4.86189i | 0.958252 | − | 0.461470i | ||||
\(112\) | 9.73931 | − | 17.1543i | 0.920278 | − | 1.62093i | ||||
\(113\) | −1.83224 | − | 0.882362i | −0.172363 | − | 0.0830057i | 0.345713 | − | 0.938340i | \(-0.387637\pi\) |
−0.518076 | + | 0.855335i | \(0.673351\pi\) | |||||||
\(114\) | −3.84197 | + | 3.56483i | −0.359833 | + | 0.333876i | ||||
\(115\) | 9.13089 | − | 1.37626i | 0.851460 | − | 0.128337i | ||||
\(116\) | 21.4074 | − | 37.0787i | 1.98763 | − | 3.44267i | ||||
\(117\) | −0.372502 | − | 0.645193i | −0.0344379 | − | 0.0596481i | ||||
\(118\) | −8.57219 | − | 10.7492i | −0.789134 | − | 0.989543i | ||||
\(119\) | 6.83522 | − | 3.35279i | 0.626584 | − | 0.307350i | ||||
\(120\) | −7.53162 | + | 9.44435i | −0.687540 | + | 0.862148i | ||||
\(121\) | 7.08433 | + | 1.06779i | 0.644030 | + | 0.0970720i | ||||
\(122\) | −14.2250 | + | 9.69842i | −1.28787 | + | 0.878053i | ||||
\(123\) | −10.9770 | + | 7.48401i | −0.989765 | + | 0.674810i | ||||
\(124\) | 3.32640 | + | 0.501375i | 0.298720 | + | 0.0450248i | ||||
\(125\) | −6.55817 | + | 8.22368i | −0.586581 | + | 0.735549i | ||||
\(126\) | −1.08521 | + | 4.91834i | −0.0966783 | + | 0.438160i | ||||
\(127\) | −7.15603 | − | 8.97338i | −0.634995 | − | 0.796259i | 0.355372 | − | 0.934725i | \(-0.384354\pi\) |
−0.990367 | + | 0.138466i | \(0.955783\pi\) | |||||||
\(128\) | 5.17919 | + | 8.97062i | 0.457780 | + | 0.792898i | ||||
\(129\) | 0.901423 | − | 1.56131i | 0.0793659 | − | 0.137466i | ||||
\(130\) | 3.14493 | − | 0.474022i | 0.275829 | − | 0.0415745i | ||||
\(131\) | 7.33619 | − | 6.80699i | 0.640965 | − | 0.594729i | −0.291244 | − | 0.956649i | \(-0.594069\pi\) |
0.932209 | + | 0.361920i | \(0.117879\pi\) | |||||||
\(132\) | 12.0014 | + | 5.77956i | 1.04459 | + | 0.503046i | ||||
\(133\) | −2.66680 | − | 2.43877i | −0.231241 | − | 0.211469i | ||||
\(134\) | 33.7994 | − | 16.2769i | 2.91982 | − | 1.40611i | ||||
\(135\) | 2.55729 | − | 6.51587i | 0.220097 | − | 0.560797i | ||||
\(136\) | 1.38978 | − | 18.5453i | 0.119173 | − | 1.59025i | ||||
\(137\) | 20.4246 | + | 6.30014i | 1.74499 | + | 0.538257i | 0.992703 | − | 0.120582i | \(-0.0384760\pi\) |
0.752284 | + | 0.658839i | \(0.228952\pi\) | |||||||
\(138\) | 2.12733 | + | 28.3873i | 0.181091 | + | 2.41649i | ||||
\(139\) | 3.19194 | − | 13.9848i | 0.270737 | − | 1.18618i | −0.638408 | − | 0.769698i | \(-0.720407\pi\) |
0.909145 | − | 0.416479i | \(-0.136736\pi\) | |||||||
\(140\) | −12.3841 | − | 8.31278i | −1.04665 | − | 0.702558i | ||||
\(141\) | −0.133743 | − | 0.585966i | −0.0112632 | − | 0.0493473i | ||||
\(142\) | −17.4281 | + | 5.37586i | −1.46253 | + | 0.451132i | ||||
\(143\) | −0.715513 | − | 1.82310i | −0.0598342 | − | 0.152455i | ||||
\(144\) | 4.07183 | + | 3.77811i | 0.339319 | + | 0.314842i | ||||
\(145\) | −9.72135 | − | 6.62790i | −0.807314 | − | 0.550417i | ||||
\(146\) | −19.1123 | −1.58175 | ||||||||
\(147\) | 10.4158 | + | 1.41615i | 0.859082 | + | 0.116802i | ||||
\(148\) | 33.7978 | 2.77816 | ||||||||
\(149\) | −4.97129 | − | 3.38937i | −0.407264 | − | 0.277668i | 0.342312 | − | 0.939586i | \(-0.388790\pi\) |
−0.749576 | + | 0.661919i | \(0.769742\pi\) | |||||||
\(150\) | −9.70639 | − | 9.00621i | −0.792523 | − | 0.735354i | ||||
\(151\) | 0.287367 | + | 0.732200i | 0.0233856 | + | 0.0595856i | 0.942090 | − | 0.335361i | \(-0.108858\pi\) |
−0.918704 | + | 0.394947i | \(0.870763\pi\) | |||||||
\(152\) | −8.43543 | + | 2.60199i | −0.684204 | + | 0.211049i | ||||
\(153\) | 0.477035 | + | 2.09003i | 0.0385660 | + | 0.168969i | ||||
\(154\) | −4.74798 | + | 12.3598i | −0.382603 | + | 0.995981i | ||||
\(155\) | 0.205708 | − | 0.901265i | 0.0165229 | − | 0.0723914i | ||||
\(156\) | 0.508274 | + | 6.78244i | 0.0406945 | + | 0.543030i | ||||
\(157\) | 6.74179 | + | 2.07957i | 0.538054 | + | 0.165968i | 0.551859 | − | 0.833937i | \(-0.313918\pi\) |
−0.0138058 | + | 0.999905i | \(0.504395\pi\) | |||||||
\(158\) | −0.560198 | + | 7.47532i | −0.0445670 | + | 0.594705i | ||||
\(159\) | −2.15972 | + | 5.50288i | −0.171277 | + | 0.436407i | ||||
\(160\) | −6.86934 | + | 3.30810i | −0.543069 | + | 0.261528i | ||||
\(161\) | −19.3875 | + | 3.06577i | −1.52795 | + | 0.241616i | ||||
\(162\) | 14.2965 | + | 6.88485i | 1.12324 | + | 0.540925i | ||||
\(163\) | −9.86953 | + | 9.15759i | −0.773041 | + | 0.717277i | −0.964459 | − | 0.264231i | \(-0.914882\pi\) |
0.191418 | + | 0.981509i | \(0.438691\pi\) | |||||||
\(164\) | −39.6239 | + | 5.97235i | −3.09411 | + | 0.466362i | ||||
\(165\) | 1.83028 | − | 3.17014i | 0.142487 | − | 0.246795i | ||||
\(166\) | −17.3755 | − | 30.0952i | −1.34860 | − | 2.33584i | ||||
\(167\) | 12.7558 | + | 15.9953i | 0.987077 | + | 1.23776i | 0.971294 | + | 0.237880i | \(0.0764526\pi\) |
0.0157827 | + | 0.999875i | \(0.494976\pi\) | |||||||
\(168\) | 15.8640 | − | 20.1907i | 1.22393 | − | 1.55775i | ||||
\(169\) | 0.623490 | − | 0.781831i | 0.0479608 | − | 0.0601409i | ||||
\(170\) | −9.04965 | − | 1.36402i | −0.694076 | − | 0.104615i | ||||
\(171\) | 0.840772 | − | 0.573228i | 0.0642954 | − | 0.0438359i | ||||
\(172\) | 4.49284 | − | 3.06317i | 0.342576 | − | 0.233564i | ||||
\(173\) | −11.6904 | − | 1.76204i | −0.888801 | − | 0.133965i | −0.311258 | − | 0.950325i | \(-0.600750\pi\) |
−0.577543 | + | 0.816360i | \(0.695988\pi\) | |||||||
\(174\) | 22.6151 | − | 28.3585i | 1.71445 | − | 2.14985i | ||||
\(175\) | 5.64062 | − | 7.17904i | 0.426391 | − | 0.542684i | ||||
\(176\) | 9.10426 | + | 11.4164i | 0.686259 | + | 0.860542i | ||||
\(177\) | −4.03992 | − | 6.99734i | −0.303659 | − | 0.525952i | ||||
\(178\) | −15.2851 | + | 26.4746i | −1.14567 | + | 1.98435i | ||||
\(179\) | 5.46100 | − | 0.823113i | 0.408174 | − | 0.0615223i | 0.0582537 | − | 0.998302i | \(-0.481447\pi\) |
0.349920 | + | 0.936779i | \(0.386209\pi\) | |||||||
\(180\) | 3.07879 | − | 2.85670i | 0.229479 | − | 0.212926i | ||||
\(181\) | 9.12364 | + | 4.39371i | 0.678155 | + | 0.326582i | 0.741061 | − | 0.671437i | \(-0.234323\pi\) |
−0.0629066 | + | 0.998019i | \(0.520037\pi\) | |||||||
\(182\) | −6.67757 | + | 1.05593i | −0.494975 | + | 0.0782711i | ||||
\(183\) | −9.11582 | + | 4.38995i | −0.673860 | + | 0.324514i | ||||
\(184\) | −17.5171 | + | 44.6329i | −1.29138 | + | 3.29038i | ||||
\(185\) | 0.694082 | − | 9.26188i | 0.0510299 | − | 0.680947i | ||||
\(186\) | 2.72328 | + | 0.840022i | 0.199681 | + | 0.0615934i | ||||
\(187\) | 0.421149 | + | 5.61984i | 0.0307974 | + | 0.410963i | ||||
\(188\) | 0.403392 | − | 1.76738i | 0.0294204 | − | 0.128899i | ||||
\(189\) | −5.33559 | + | 13.8894i | −0.388107 | + | 1.01031i | ||||
\(190\) | 0.966660 | + | 4.23521i | 0.0701289 | + | 0.307255i | ||||
\(191\) | 3.37925 | − | 1.04236i | 0.244514 | − | 0.0754225i | −0.170076 | − | 0.985431i | \(-0.554401\pi\) |
0.414590 | + | 0.910008i | \(0.363925\pi\) | |||||||
\(192\) | −0.406396 | − | 1.03548i | −0.0293291 | − | 0.0747293i | ||||
\(193\) | −3.01073 | − | 2.79355i | −0.216717 | − | 0.201084i | 0.564342 | − | 0.825541i | \(-0.309130\pi\) |
−0.781059 | + | 0.624457i | \(0.785320\pi\) | |||||||
\(194\) | −2.69208 | − | 1.83543i | −0.193280 | − | 0.131776i | ||||
\(195\) | 1.86909 | 0.133848 | ||||||||
\(196\) | 26.4515 | + | 17.4792i | 1.88939 | + | 1.24852i | ||||
\(197\) | −16.6882 | −1.18898 | −0.594492 | − | 0.804102i | \(-0.702647\pi\) | ||||
−0.594492 | + | 0.804102i | \(0.702647\pi\) | |||||||
\(198\) | −3.08047 | − | 2.10023i | −0.218919 | − | 0.149257i | ||||
\(199\) | 2.43112 | + | 2.25575i | 0.172338 | + | 0.159906i | 0.761626 | − | 0.648017i | \(-0.224401\pi\) |
−0.589288 | + | 0.807923i | \(0.700592\pi\) | |||||||
\(200\) | −8.14790 | − | 20.7605i | −0.576143 | − | 1.46799i | ||||
\(201\) | 21.0670 | − | 6.49831i | 1.48595 | − | 0.458356i | ||||
\(202\) | −4.38886 | − | 19.2288i | −0.308799 | − | 1.35294i | ||||
\(203\) | 20.7656 | + | 13.9388i | 1.45746 | + | 0.978311i | ||||
\(204\) | 4.35505 | − | 19.0807i | 0.304915 | − | 1.33592i | ||||
\(205\) | 0.822921 | + | 10.9811i | 0.0574753 | + | 0.766955i | ||||
\(206\) | −30.0719 | − | 9.27595i | −2.09521 | − | 0.646286i | ||||
\(207\) | 0.413037 | − | 5.51160i | 0.0287081 | − | 0.383083i | ||||
\(208\) | −2.72392 | + | 6.94043i | −0.188870 | + | 0.481233i | ||||
\(209\) | 2.41014 | − | 1.16066i | 0.166713 | − | 0.0802847i | ||||
\(210\) | −9.32480 | − | 8.52747i | −0.643472 | − | 0.588451i | ||||
\(211\) | −11.1718 | − | 5.38008i | −0.769102 | − | 0.370380i | 0.00782623 | − | 0.999969i | \(-0.497509\pi\) |
−0.776928 | + | 0.629589i | \(0.783223\pi\) | |||||||
\(212\) | −13.0704 | + | 12.1276i | −0.897682 | + | 0.832927i | ||||
\(213\) | −10.5986 | + | 1.59748i | −0.726205 | + | 0.109458i | ||||
\(214\) | 7.62766 | − | 13.2115i | 0.521416 | − | 0.903119i | ||||
\(215\) | −0.747158 | − | 1.29412i | −0.0509557 | − | 0.0882579i | ||||
\(216\) | 22.6613 | + | 28.4163i | 1.54190 | + | 1.93349i | ||||
\(217\) | −0.423395 | + | 1.91889i | −0.0287419 | + | 0.130263i | ||||
\(218\) | −18.9846 | + | 23.8059i | −1.28580 | + | 1.61234i | ||||
\(219\) | −11.1065 | − | 1.67403i | −0.750505 | − | 0.113120i | ||||
\(220\) | 9.12243 | − | 6.21957i | 0.615034 | − | 0.419323i | ||||
\(221\) | −2.37753 | + | 1.62097i | −0.159930 | + | 0.109038i | ||||
\(222\) | 28.3130 | + | 4.26750i | 1.90025 | + | 0.286416i | ||||
\(223\) | −16.5859 | + | 20.7981i | −1.11067 | + | 1.39274i | −0.199910 | + | 0.979814i | \(0.564065\pi\) |
−0.910764 | + | 0.412927i | \(0.864507\pi\) | |||||||
\(224\) | 14.5506 | − | 7.13731i | 0.972202 | − | 0.476881i | ||||
\(225\) | 1.60290 | + | 2.00997i | 0.106860 | + | 0.133998i | ||||
\(226\) | −2.59822 | − | 4.50025i | −0.172831 | − | 0.299352i | ||||
\(227\) | 1.48394 | − | 2.57026i | 0.0984926 | − | 0.170594i | −0.812568 | − | 0.582866i | \(-0.801931\pi\) |
0.911061 | + | 0.412272i | \(0.135265\pi\) | |||||||
\(228\) | −9.18624 | + | 1.38460i | −0.608373 | + | 0.0916975i | ||||
\(229\) | 12.9154 | − | 11.9837i | 0.853472 | − | 0.791906i | −0.126306 | − | 0.991991i | \(-0.540312\pi\) |
0.979779 | + | 0.200085i | \(0.0641218\pi\) | |||||||
\(230\) | 21.2586 | + | 10.2376i | 1.40175 | + | 0.675046i | ||||
\(231\) | −3.84171 | + | 6.76660i | −0.252766 | + | 0.445209i | ||||
\(232\) | 55.0432 | − | 26.5074i | 3.61377 | − | 1.74030i | ||||
\(233\) | −3.80253 | + | 9.68868i | −0.249112 | + | 0.634727i | −0.999660 | − | 0.0260895i | \(-0.991695\pi\) |
0.750548 | + | 0.660816i | \(0.229790\pi\) | |||||||
\(234\) | 0.142261 | − | 1.89835i | 0.00929992 | − | 0.124099i | ||||
\(235\) | −0.476045 | − | 0.146840i | −0.0310537 | − | 0.00957881i | ||||
\(236\) | −1.82119 | − | 24.3020i | −0.118549 | − | 1.58193i | ||||
\(237\) | −0.980296 | + | 4.29496i | −0.0636770 | + | 0.278987i | ||||
\(238\) | 19.2569 | + | 2.76021i | 1.24824 | + | 0.178918i | ||||
\(239\) | −2.85422 | − | 12.5052i | −0.184624 | − | 0.808891i | −0.979391 | − | 0.201976i | \(-0.935264\pi\) |
0.794766 | − | 0.606915i | \(-0.207593\pi\) | |||||||
\(240\) | −13.3165 | + | 4.10759i | −0.859574 | + | 0.265143i | ||||
\(241\) | −4.49250 | − | 11.4467i | −0.289387 | − | 0.737347i | −0.999448 | − | 0.0332071i | \(-0.989428\pi\) |
0.710061 | − | 0.704140i | \(-0.248667\pi\) | |||||||
\(242\) | 13.4198 | + | 12.4517i | 0.862654 | + | 0.800426i | ||||
\(243\) | −6.23476 | − | 4.25079i | −0.399960 | − | 0.272688i | ||||
\(244\) | −30.5170 | −1.95365 | ||||||||
\(245\) | 5.33319 | − | 6.88976i | 0.340725 | − | 0.440171i | ||||
\(246\) | −33.9478 | −2.16443 | ||||||||
\(247\) | 1.12855 | + | 0.769429i | 0.0718076 | + | 0.0489576i | ||||
\(248\) | 3.51875 | + | 3.26492i | 0.223441 | + | 0.207323i | ||||
\(249\) | −7.46114 | − | 19.0107i | −0.472830 | − | 1.20475i | ||||
\(250\) | −25.6832 | + | 7.92223i | −1.62435 | + | 0.501046i | ||||
\(251\) | 4.74781 | + | 20.8015i | 0.299679 | + | 1.31298i | 0.870607 | + | 0.491979i | \(0.163726\pi\) |
−0.570928 | + | 0.821000i | \(0.693417\pi\) | |||||||
\(252\) | −6.50034 | + | 6.11952i | −0.409483 | + | 0.385494i | ||||
\(253\) | 3.23314 | − | 14.1653i | 0.203266 | − | 0.890566i | ||||
\(254\) | −2.19165 | − | 29.2455i | −0.137516 | − | 1.83503i | ||||
\(255\) | −5.13941 | − | 1.58530i | −0.321843 | − | 0.0992753i | ||||
\(256\) | −2.08869 | + | 27.8716i | −0.130543 | + | 1.74197i | ||||
\(257\) | 4.39692 | − | 11.2032i | 0.274272 | − | 0.698835i | −0.725669 | − | 0.688044i | \(-0.758470\pi\) |
0.999942 | − | 0.0107911i | \(-0.00343497\pi\) | |||||||
\(258\) | 4.15051 | − | 1.99878i | 0.258399 | − | 0.124439i | ||||
\(259\) | −1.33294 | + | 19.6977i | −0.0828247 | + | 1.22396i | ||||
\(260\) | 5.07920 | + | 2.44602i | 0.314999 | + | 0.151695i | ||||
\(261\) | −5.16248 | + | 4.79008i | −0.319549 | + | 0.296498i | ||||
\(262\) | 25.2866 | − | 3.81134i | 1.56221 | − | 0.235465i | ||||
\(263\) | 13.3209 | − | 23.0724i | 0.821399 | − | 1.42271i | −0.0832410 | − | 0.996529i | \(-0.526527\pi\) |
0.904640 | − | 0.426176i | \(-0.140140\pi\) | |||||||
\(264\) | 9.50368 | + | 16.4609i | 0.584911 | + | 1.01310i | ||||
\(265\) | 3.05501 | + | 3.83086i | 0.187668 | + | 0.235328i | ||||
\(266\) | −2.11985 | − | 8.98750i | −0.129976 | − | 0.551059i | ||||
\(267\) | −11.2013 | + | 14.0460i | −0.685508 | + | 0.859599i | ||||
\(268\) | 65.7533 | + | 9.91072i | 4.01652 | + | 0.605393i | ||||
\(269\) | 8.47557 | − | 5.77855i | 0.516765 | − | 0.352324i | −0.276684 | − | 0.960961i | \(-0.589236\pi\) |
0.793449 | + | 0.608637i | \(0.208283\pi\) | |||||||
\(270\) | 14.7781 | − | 10.0756i | 0.899369 | − | 0.613180i | ||||
\(271\) | 6.50960 | + | 0.981165i | 0.395430 | + | 0.0596015i | 0.343748 | − | 0.939062i | \(-0.388303\pi\) |
0.0516826 | + | 0.998664i | \(0.483542\pi\) | |||||||
\(272\) | 13.3766 | − | 16.7737i | 0.811076 | − | 1.01706i | ||||
\(273\) | −3.97293 | + | 0.0287374i | −0.240452 | + | 0.00173927i | ||||
\(274\) | 34.0526 | + | 42.7007i | 2.05720 | + | 2.57964i | ||||
\(275\) | 3.37914 | + | 5.85285i | 0.203770 | + | 0.352940i | ||||
\(276\) | −25.2294 | + | 43.6986i | −1.51863 | + | 2.63035i | ||||
\(277\) | −8.78132 | + | 1.32357i | −0.527618 | + | 0.0795257i | −0.407449 | − | 0.913228i | \(-0.633582\pi\) |
−0.120169 | + | 0.992753i | \(0.538344\pi\) | |||||||
\(278\) | 26.8690 | − | 24.9308i | 1.61150 | − | 1.49525i | ||||
\(279\) | −0.498531 | − | 0.240080i | −0.0298463 | − | 0.0143732i | ||||
\(280\) | −7.91870 | − | 19.7551i | −0.473233 | − | 1.18060i | ||||
\(281\) | 1.01082 | − | 0.486786i | 0.0603005 | − | 0.0290392i | −0.403490 | − | 0.914984i | \(-0.632203\pi\) |
0.463791 | + | 0.885945i | \(0.346489\pi\) | |||||||
\(282\) | 0.561088 | − | 1.42963i | 0.0334123 | − | 0.0851332i | ||||
\(283\) | −0.251720 | + | 3.35897i | −0.0149632 | + | 0.199670i | 0.984712 | + | 0.174190i | \(0.0557306\pi\) |
−0.999675 | + | 0.0254804i | \(0.991888\pi\) | |||||||
\(284\) | −30.8921 | − | 9.52894i | −1.83311 | − | 0.565439i | ||||
\(285\) | 0.190782 | + | 2.54581i | 0.0113010 | + | 0.150801i | ||||
\(286\) | 1.11358 | − | 4.87893i | 0.0658476 | − | 0.288497i | ||||
\(287\) | −1.91804 | − | 23.3288i | −0.113218 | − | 1.37706i | ||||
\(288\) | 1.01550 | + | 4.44918i | 0.0598387 | + | 0.262171i | ||||
\(289\) | −8.33240 | + | 2.57020i | −0.490141 | + | 0.151188i | ||||
\(290\) | −10.9838 | − | 27.9862i | −0.644990 | − | 1.64341i | ||||
\(291\) | −1.40364 | − | 1.30239i | −0.0822830 | − | 0.0763475i | ||||
\(292\) | −27.9908 | − | 19.0838i | −1.63804 | − | 1.11680i | ||||
\(293\) | −20.7684 | −1.21330 | −0.606651 | − | 0.794968i | \(-0.707487\pi\) | ||||
−0.606651 | + | 0.794968i | \(0.707487\pi\) | |||||||
\(294\) | 19.9519 | + | 17.9826i | 1.16362 | + | 1.04877i | ||||
\(295\) | −6.69709 | −0.389920 | ||||||||
\(296\) | 39.8469 | + | 27.1671i | 2.31605 | + | 1.57906i | ||||
\(297\) | −8.07382 | − | 7.49141i | −0.468491 | − | 0.434696i | ||||
\(298\) | −5.61687 | − | 14.3116i | −0.325377 | − | 0.829046i | ||||
\(299\) | 7.08922 | − | 2.18674i | 0.409980 | − | 0.126462i | ||||
\(300\) | −5.22264 | − | 22.8819i | −0.301529 | − | 1.32109i | ||||
\(301\) | 1.60805 | + | 2.73928i | 0.0926867 | + | 0.157890i | ||||
\(302\) | −0.447242 | + | 1.95950i | −0.0257359 | + | 0.112756i | ||||
\(303\) | −0.866196 | − | 11.5586i | −0.0497617 | − | 0.664024i | ||||
\(304\) | −9.73135 | − | 3.00172i | −0.558131 | − | 0.172161i | ||||
\(305\) | −0.626707 | + | 8.36283i | −0.0358852 | + | 0.478854i | ||||
\(306\) | −2.00129 | + | 5.09921i | −0.114406 | + | 0.291503i | ||||
\(307\) | 4.06762 | − | 1.95886i | 0.232151 | − | 0.111798i | −0.314192 | − | 0.949359i | \(-0.601734\pi\) |
0.546343 | + | 0.837561i | \(0.316019\pi\) | |||||||
\(308\) | −19.2950 | + | 13.3606i | −1.09943 | + | 0.761289i | ||||
\(309\) | −16.6628 | − | 8.02436i | −0.947911 | − | 0.456490i | ||||
\(310\) | 1.73160 | − | 1.60669i | 0.0983483 | − | 0.0912539i | ||||
\(311\) | −26.5831 | + | 4.00676i | −1.50739 | + | 0.227202i | −0.850175 | − | 0.526501i | \(-0.823504\pi\) |
−0.657215 | + | 0.753703i | \(0.728266\pi\) | |||||||
\(312\) | −4.85258 | + | 8.40491i | −0.274723 | + | 0.475835i | ||||
\(313\) | 9.99374 | + | 17.3097i | 0.564880 | + | 0.978400i | 0.997061 | + | 0.0766134i | \(0.0244107\pi\) |
−0.432181 | + | 0.901787i | \(0.642256\pi\) | |||||||
\(314\) | 11.2402 | + | 14.0948i | 0.634321 | + | 0.795413i | ||||
\(315\) | 1.54349 | + | 1.90701i | 0.0869658 | + | 0.107448i | ||||
\(316\) | −8.28461 | + | 10.3886i | −0.466046 | + | 0.584403i | ||||
\(317\) | −32.4025 | − | 4.88389i | −1.81991 | − | 0.274307i | −0.851621 | − | 0.524157i | \(-0.824380\pi\) |
−0.968284 | + | 0.249851i | \(0.919618\pi\) | |||||||
\(318\) | −12.4807 | + | 8.50917i | −0.699881 | + | 0.477171i | ||||
\(319\) | −15.2964 | + | 10.4289i | −0.856434 | + | 0.583907i | ||||
\(320\) | −0.911710 | − | 0.137418i | −0.0509661 | − | 0.00768191i | ||||
\(321\) | 5.58973 | − | 7.00930i | 0.311988 | − | 0.391221i | ||||
\(322\) | −45.3446 | − | 21.4341i | −2.52695 | − | 1.19448i | ||||
\(323\) | −2.45055 | − | 3.07289i | −0.136352 | − | 0.170980i | ||||
\(324\) | 14.0633 | + | 24.3584i | 0.781295 | + | 1.35324i | ||||
\(325\) | −1.72539 | + | 2.98846i | −0.0957074 | + | 0.165770i | ||||
\(326\) | −34.0186 | + | 5.12748i | −1.88412 | + | 0.283985i | ||||
\(327\) | −13.1174 | + | 12.1711i | −0.725392 | + | 0.673065i | ||||
\(328\) | −51.5164 | − | 24.8090i | −2.84452 | − | 1.36985i | ||||
\(329\) | 1.01414 | + | 0.304804i | 0.0559112 | + | 0.0168044i | ||||
\(330\) | 8.42735 | − | 4.05840i | 0.463910 | − | 0.223407i | ||||
\(331\) | −2.69844 | + | 6.87551i | −0.148320 | + | 0.377912i | −0.985654 | − | 0.168779i | \(-0.946018\pi\) |
0.837334 | + | 0.546691i | \(0.184113\pi\) | |||||||
\(332\) | 4.60319 | − | 61.4253i | 0.252633 | − | 3.37115i | ||||
\(333\) | −5.31229 | − | 1.63862i | −0.291112 | − | 0.0897960i | ||||
\(334\) | 3.90668 | + | 52.1311i | 0.213764 | + | 2.85249i | ||||
\(335\) | 4.06625 | − | 17.8154i | 0.222163 | − | 0.973358i | ||||
\(336\) | 28.2423 | − | 8.93582i | 1.54074 | − | 0.487489i | ||||
\(337\) | 1.79846 | + | 7.87958i | 0.0979684 | + | 0.429228i | 0.999997 | − | 0.00244855i | \(-0.000779398\pi\) |
−0.902029 | + | 0.431676i | \(0.857922\pi\) | |||||||
\(338\) | 2.44172 | − | 0.753172i | 0.132812 | − | 0.0409672i | ||||
\(339\) | −1.11569 | − | 2.84274i | −0.0605961 | − | 0.154396i | ||||
\(340\) | −11.8916 | − | 11.0338i | −0.644914 | − | 0.598393i | ||||
\(341\) | −1.20185 | − | 0.819404i | −0.0650836 | − | 0.0443732i | ||||
\(342\) | 2.60019 | 0.140602 | ||||||||
\(343\) | −11.2303 | + | 14.7269i | −0.606379 | + | 0.795176i | ||||
\(344\) | 7.75918 | 0.418347 | ||||||||
\(345\) | 11.4570 | + | 7.81123i | 0.616822 | + | 0.420542i | ||||
\(346\) | −22.1449 | − | 20.5474i | −1.19052 | − | 1.10464i | ||||
\(347\) | −9.61188 | − | 24.4907i | −0.515993 | − | 1.31473i | −0.917086 | − | 0.398690i | \(-0.869465\pi\) |
0.401093 | − | 0.916037i | \(-0.368630\pi\) | |||||||
\(348\) | 61.4370 | − | 18.9508i | 3.29337 | − | 1.01587i | ||||
\(349\) | 7.58190 | + | 33.2185i | 0.405850 | + | 1.77814i | 0.602969 | + | 0.797765i | \(0.293984\pi\) |
−0.197119 | + | 0.980380i | \(0.563158\pi\) | |||||||
\(350\) | 22.2424 | − | 7.03746i | 1.18891 | − | 0.376168i | ||||
\(351\) | 1.25140 | − | 5.48274i | 0.0667948 | − | 0.292647i | ||||
\(352\) | 0.896527 | + | 11.9633i | 0.0477851 | + | 0.637647i | ||||
\(353\) | 15.0353 | + | 4.63777i | 0.800248 | + | 0.246844i | 0.667795 | − | 0.744345i | \(-0.267238\pi\) |
0.132453 | + | 0.991189i | \(0.457715\pi\) | |||||||
\(354\) | 1.54287 | − | 20.5882i | 0.0820029 | − | 1.09425i | ||||
\(355\) | −3.24570 | + | 8.26992i | −0.172264 | + | 0.438922i | ||||
\(356\) | −48.8208 | + | 23.5109i | −2.58750 | + | 1.24607i | ||||
\(357\) | 10.9487 | + | 3.29069i | 0.579467 | + | 0.174162i | ||||
\(358\) | 12.7143 | + | 6.12288i | 0.671971 | + | 0.323604i | ||||
\(359\) | 21.5464 | − | 19.9921i | 1.13717 | − | 1.05514i | 0.139282 | − | 0.990253i | \(-0.455521\pi\) |
0.997892 | − | 0.0648907i | \(-0.0206699\pi\) | |||||||
\(360\) | 5.92608 | − | 0.893212i | 0.312332 | − | 0.0470764i | ||||
\(361\) | 8.56718 | − | 14.8388i | 0.450904 | − | 0.780989i | ||||
\(362\) | 12.9378 | + | 22.4090i | 0.679997 | + | 1.17779i | ||||
\(363\) | 6.70779 | + | 8.41130i | 0.352068 | + | 0.441479i | ||||
\(364\) | −10.8340 | − | 5.12115i | −0.567853 | − | 0.268421i | ||||
\(365\) | −5.80452 | + | 7.27864i | −0.303823 | + | 0.380981i | ||||
\(366\) | −25.5647 | − | 3.85326i | −1.33629 | − | 0.201413i | ||||
\(367\) | 19.3425 | − | 13.1875i | 1.00967 | − | 0.688381i | 0.0588951 | − | 0.998264i | \(-0.481242\pi\) |
0.950775 | + | 0.309883i | \(0.100290\pi\) | |||||||
\(368\) | −45.7021 | + | 31.1592i | −2.38239 | + | 1.62428i | ||||
\(369\) | 6.51759 | + | 0.982369i | 0.339292 | + | 0.0511401i | ||||
\(370\) | 14.7971 | − | 18.5550i | 0.769266 | − | 0.964629i | ||||
\(371\) | −6.55262 | − | 8.09589i | −0.340195 | − | 0.420318i | ||||
\(372\) | 3.14960 | + | 3.94947i | 0.163299 | + | 0.204771i | ||||
\(373\) | 14.1983 | + | 24.5922i | 0.735160 | + | 1.27333i | 0.954653 | + | 0.297720i | \(0.0962262\pi\) |
−0.219493 | + | 0.975614i | \(0.570440\pi\) | |||||||
\(374\) | −7.20017 | + | 12.4711i | −0.372312 | + | 0.644863i | ||||
\(375\) | −15.6188 | + | 2.35416i | −0.806552 | + | 0.121568i | ||||
\(376\) | 1.89623 | − | 1.75945i | 0.0977908 | − | 0.0907366i | ||||
\(377\) | −8.51676 | − | 4.10145i | −0.438635 | − | 0.211236i | ||||
\(378\) | −31.2575 | + | 21.6438i | −1.60771 | + | 1.11324i | ||||
\(379\) | −0.815272 | + | 0.392614i | −0.0418777 | + | 0.0201672i | −0.454705 | − | 0.890642i | \(-0.650255\pi\) |
0.412828 | + | 0.910809i | \(0.364541\pi\) | |||||||
\(380\) | −2.81318 | + | 7.16787i | −0.144313 | + | 0.367704i | ||||
\(381\) | 1.28799 | − | 17.1870i | 0.0659855 | − | 0.880516i | ||||
\(382\) | 8.63481 | + | 2.66349i | 0.441795 | + | 0.136276i | ||||
\(383\) | −0.0490578 | − | 0.654631i | −0.00250674 | − | 0.0334501i | 0.995810 | − | 0.0914446i | \(-0.0291484\pi\) |
−0.998317 | + | 0.0579945i | \(0.981529\pi\) | |||||||
\(384\) | −3.46127 | + | 15.1648i | −0.176632 | + | 0.773876i | ||||
\(385\) | 3.26506 | + | 5.56194i | 0.166403 | + | 0.283463i | ||||
\(386\) | −2.33529 | − | 10.2316i | −0.118863 | − | 0.520774i | ||||
\(387\) | −0.854690 | + | 0.263637i | −0.0434463 | + | 0.0134014i | ||||
\(388\) | −2.10997 | − | 5.37613i | −0.107118 | − | 0.272931i | ||||
\(389\) | −4.49467 | − | 4.17044i | −0.227889 | − | 0.211450i | 0.557961 | − | 0.829867i | \(-0.311584\pi\) |
−0.785850 | + | 0.618417i | \(0.787774\pi\) | |||||||
\(390\) | 3.94610 | + | 2.69040i | 0.199818 | + | 0.136234i | ||||
\(391\) | −21.3479 | −1.07961 | ||||||||
\(392\) | 17.1357 | + | 41.8697i | 0.865484 | + | 2.11474i | ||||
\(393\) | 15.0282 | 0.758075 | ||||||||
\(394\) | −35.2328 | − | 24.0213i | −1.77500 | − | 1.21018i | ||||
\(395\) | 2.67673 | + | 2.48364i | 0.134681 | + | 0.124966i | ||||
\(396\) | −2.41438 | − | 6.15175i | −0.121327 | − | 0.309137i | ||||
\(397\) | −13.8982 | + | 4.28703i | −0.697531 | + | 0.215160i | −0.623187 | − | 0.782073i | \(-0.714162\pi\) |
−0.0743438 | + | 0.997233i | \(0.523686\pi\) | |||||||
\(398\) | 1.88571 | + | 8.26185i | 0.0945223 | + | 0.414129i | ||||
\(399\) | −0.444669 | − | 5.40845i | −0.0222613 | − | 0.270761i | ||||
\(400\) | 5.72511 | − | 25.0834i | 0.286256 | − | 1.25417i | ||||
\(401\) | −0.465675 | − | 6.21401i | −0.0232547 | − | 0.310313i | −0.996687 | − | 0.0813364i | \(-0.974081\pi\) |
0.973432 | − | 0.228976i | \(-0.0735379\pi\) | |||||||
\(402\) | 53.8314 | + | 16.6048i | 2.68487 | + | 0.828171i | ||||
\(403\) | 0.0555034 | − | 0.740641i | 0.00276482 | − | 0.0368939i | ||||
\(404\) | 12.7725 | − | 32.5438i | 0.635455 | − | 1.61911i | ||||
\(405\) | 6.96393 | − | 3.35365i | 0.346041 | − | 0.166644i | ||||
\(406\) | 23.7774 | + | 59.3186i | 1.18005 | + | 2.94393i | ||||
\(407\) | −13.1670 | − | 6.34091i | −0.652665 | − | 0.314307i | ||||
\(408\) | 20.4719 | − | 18.9951i | 1.01351 | − | 0.940400i | ||||
\(409\) | 0.241218 | − | 0.0363578i | 0.0119275 | − | 0.00179778i | −0.143076 | − | 0.989712i | \(-0.545699\pi\) |
0.155003 | + | 0.987914i | \(0.450461\pi\) | |||||||
\(410\) | −14.0691 | + | 24.3683i | −0.694822 | + | 1.20347i | ||||
\(411\) | 16.0484 | + | 27.7966i | 0.791609 | + | 1.37111i | ||||
\(412\) | −34.7795 | − | 43.6121i | −1.71346 | − | 2.14861i | ||||
\(413\) | 14.2353 | − | 0.102969i | 0.700474 | − | 0.00506676i | ||||
\(414\) | 8.80554 | − | 11.0418i | 0.432769 | − | 0.542675i | ||||
\(415\) | −16.7383 | − | 2.52290i | −0.821652 | − | 0.123844i | ||||
\(416\) | −5.06121 | + | 3.45067i | −0.248146 | + | 0.169183i | ||||
\(417\) | 17.7977 | − | 12.1342i | 0.871555 | − | 0.594216i | ||||
\(418\) | 6.75908 | + | 1.01877i | 0.330597 | + | 0.0498295i | ||||
\(419\) | 21.6706 | − | 27.1740i | 1.05868 | − | 1.32754i | 0.116216 | − | 0.993224i | \(-0.462924\pi\) |
0.942461 | − | 0.334315i | \(-0.108505\pi\) | |||||||
\(420\) | −5.14182 | − | 21.7997i | −0.250895 | − | 1.06372i | ||||
\(421\) | 16.5518 | + | 20.7554i | 0.806688 | + | 1.01155i | 0.999540 | + | 0.0303267i | \(0.00965476\pi\) |
−0.192852 | + | 0.981228i | \(0.561774\pi\) | |||||||
\(422\) | −15.8423 | − | 27.4396i | −0.771191 | − | 1.33574i | ||||
\(423\) | −0.149093 | + | 0.258236i | −0.00724914 | + | 0.0125559i | ||||
\(424\) | −25.1581 | + | 3.79198i | −1.22179 | + | 0.184155i | ||||
\(425\) | 7.27902 | − | 6.75394i | 0.353084 | − | 0.327614i | ||||
\(426\) | −24.6757 | − | 11.8832i | −1.19554 | − | 0.575742i | ||||
\(427\) | 1.20355 | − | 17.7857i | 0.0582438 | − | 0.860708i | ||||
\(428\) | 24.3628 | − | 11.7325i | 1.17762 | − | 0.567113i | ||||
\(429\) | 1.07446 | − | 2.73768i | 0.0518754 | − | 0.132176i | ||||
\(430\) | 0.285345 | − | 3.80767i | 0.0137606 | − | 0.183622i | ||||
\(431\) | 31.0265 | + | 9.57040i | 1.49449 | + | 0.460990i | 0.930965 | − | 0.365107i | \(-0.118968\pi\) |
0.563527 | + | 0.826097i | \(0.309444\pi\) | |||||||
\(432\) | 3.13341 | + | 41.8124i | 0.150756 | + | 2.01170i | ||||
\(433\) | −7.26508 | + | 31.8304i | −0.349138 | + | 1.52967i | 0.430006 | + | 0.902826i | \(0.358511\pi\) |
−0.779144 | + | 0.626846i | \(0.784346\pi\) | |||||||
\(434\) | −3.65598 | + | 3.44180i | −0.175493 | + | 0.165212i | ||||
\(435\) | −3.93156 | − | 17.2253i | −0.188504 | − | 0.825889i | ||||
\(436\) | −51.5742 | + | 15.9085i | −2.46995 | + | 0.761880i | ||||
\(437\) | 3.70209 | + | 9.43277i | 0.177095 | + | 0.451230i | ||||
\(438\) | −21.0388 | − | 19.5212i | −1.00527 | − | 0.932757i | ||||
\(439\) | 32.1645 | + | 21.9294i | 1.53513 | + | 1.04663i | 0.976058 | + | 0.217509i | \(0.0697930\pi\) |
0.559067 | + | 0.829122i | \(0.311159\pi\) | |||||||
\(440\) | 15.7545 | 0.751068 | ||||||||
\(441\) | −3.31016 | − | 4.02981i | −0.157627 | − | 0.191896i | ||||
\(442\) | −7.35281 | −0.349737 | ||||||||
\(443\) | 12.4763 | + | 8.50622i | 0.592768 | + | 0.404143i | 0.822214 | − | 0.569179i | \(-0.192739\pi\) |
−0.229445 | + | 0.973322i | \(0.573691\pi\) | |||||||
\(444\) | 37.2045 | + | 34.5207i | 1.76565 | + | 1.63828i | ||||
\(445\) | 5.44027 | + | 13.8616i | 0.257894 | + | 0.657102i | ||||
\(446\) | −64.9540 | + | 20.0357i | −3.07566 | + | 0.948716i | ||||
\(447\) | −2.01051 | − | 8.80864i | −0.0950940 | − | 0.416634i | ||||
\(448\) | 1.94004 | + | 0.278078i | 0.0916584 | + | 0.0131380i | ||||
\(449\) | −3.60269 | + | 15.7844i | −0.170021 | + | 0.744912i | 0.815967 | + | 0.578098i | \(0.196205\pi\) |
−0.985988 | + | 0.166814i | \(0.946652\pi\) | |||||||
\(450\) | 0.490913 | + | 6.55078i | 0.0231419 | + | 0.308807i | ||||
\(451\) | 16.5573 | + | 5.10725i | 0.779652 | + | 0.240491i | ||||
\(452\) | 0.688333 | − | 9.18516i | 0.0323764 | − | 0.432034i | ||||
\(453\) | −0.431529 | + | 1.09952i | −0.0202750 | + | 0.0516599i | ||||
\(454\) | 6.83265 | − | 3.29043i | 0.320672 | − | 0.154428i | ||||
\(455\) | −1.62588 | + | 2.86375i | −0.0762225 | + | 0.134255i | ||||
\(456\) | −11.9433 | − | 5.75161i | −0.559298 | − | 0.269344i | ||||
\(457\) | −3.60699 | + | 3.34679i | −0.168728 | + | 0.156556i | −0.760017 | − | 0.649903i | \(-0.774810\pi\) |
0.591290 | + | 0.806459i | \(0.298619\pi\) | |||||||
\(458\) | 44.5171 | − | 6.70988i | 2.08015 | − | 0.313532i | ||||
\(459\) | −8.09125 | + | 14.0145i | −0.377667 | + | 0.654139i | ||||
\(460\) | 20.9118 | + | 36.2202i | 0.975016 | + | 1.68878i | ||||
\(461\) | 4.48434 | + | 5.62318i | 0.208856 | + | 0.261898i | 0.875215 | − | 0.483733i | \(-0.160720\pi\) |
−0.666359 | + | 0.745631i | \(0.732148\pi\) | |||||||
\(462\) | −17.8508 | + | 8.75609i | −0.830493 | + | 0.407370i | ||||
\(463\) | 0.300244 | − | 0.376494i | 0.0139535 | − | 0.0174972i | −0.774806 | − | 0.632199i | \(-0.782152\pi\) |
0.788759 | + | 0.614702i | \(0.210724\pi\) | |||||||
\(464\) | 69.6919 | + | 10.5044i | 3.23536 | + | 0.487653i | ||||
\(465\) | 1.14699 | − | 0.782003i | 0.0531903 | − | 0.0362645i | ||||
\(466\) | −21.9742 | + | 14.9817i | −1.01793 | + | 0.694015i | ||||
\(467\) | −6.41735 | − | 0.967259i | −0.296959 | − | 0.0447594i | −0.00112725 | − | 0.999999i | \(-0.500359\pi\) |
−0.295832 | + | 0.955240i | \(0.595597\pi\) | |||||||
\(468\) | 2.10386 | − | 2.63816i | 0.0972512 | − | 0.121949i | ||||
\(469\) | −8.36929 | + | 37.9309i | −0.386458 | + | 1.75148i | ||||
\(470\) | −0.793681 | − | 0.995244i | −0.0366098 | − | 0.0459072i | ||||
\(471\) | 5.29730 | + | 9.17519i | 0.244087 | + | 0.422770i | ||||
\(472\) | 17.3872 | − | 30.1155i | 0.800311 | − | 1.38618i | ||||
\(473\) | −2.32502 | + | 0.350441i | −0.106905 | + | 0.0161133i | ||||
\(474\) | −8.25189 | + | 7.65664i | −0.379022 | + | 0.351681i | ||||
\(475\) | −4.24659 | − | 2.04505i | −0.194847 | − | 0.0938334i | ||||
\(476\) | 25.4465 | + | 23.2706i | 1.16634 | + | 1.06661i | ||||
\(477\) | 2.64238 | − | 1.27250i | 0.120986 | − | 0.0582639i | ||||
\(478\) | 11.9742 | − | 30.5098i | 0.547689 | − | 1.39549i | ||||
\(479\) | −1.27144 | + | 16.9662i | −0.0580936 | + | 0.775205i | 0.889746 | + | 0.456457i | \(0.150882\pi\) |
−0.947839 | + | 0.318749i | \(0.896737\pi\) | |||||||
\(480\) | −10.9406 | − | 3.37473i | −0.499368 | − | 0.154035i | ||||
\(481\) | −0.557641 | − | 7.44120i | −0.0254262 | − | 0.339289i | ||||
\(482\) | 6.99187 | − | 30.6334i | 0.318471 | − | 1.39531i | ||||
\(483\) | −24.4730 | − | 16.4274i | −1.11356 | − | 0.747472i | ||||
\(484\) | 7.22067 | + | 31.6358i | 0.328212 | + | 1.43799i | ||||
\(485\) | −1.51659 | + | 0.467808i | −0.0688650 | + | 0.0212420i | ||||
\(486\) | −7.04442 | − | 17.9489i | −0.319541 | − | 0.814178i | ||||
\(487\) | 19.9443 | + | 18.5056i | 0.903764 | + | 0.838570i | 0.987452 | − | 0.157922i | \(-0.0504795\pi\) |
−0.0836881 | + | 0.996492i | \(0.526670\pi\) | |||||||
\(488\) | −35.9789 | − | 24.5300i | −1.62869 | − | 1.11042i | ||||
\(489\) | −20.2178 | −0.914282 | ||||||||
\(490\) | 21.1769 | − | 6.86925i | 0.956676 | − | 0.310321i | ||||
\(491\) | −20.1029 | −0.907232 | −0.453616 | − | 0.891197i | \(-0.649866\pi\) | ||||
−0.453616 | + | 0.891197i | \(0.649866\pi\) | |||||||
\(492\) | −49.7180 | − | 33.8972i | −2.24146 | − | 1.52820i | ||||
\(493\) | 19.9398 | + | 18.5014i | 0.898041 | + | 0.833260i | ||||
\(494\) | 1.27510 | + | 3.24890i | 0.0573695 | + | 0.146175i | ||||
\(495\) | −1.73540 | + | 0.535299i | −0.0780002 | + | 0.0240599i | ||||
\(496\) | 1.23223 | + | 5.39874i | 0.0553286 | + | 0.242410i | ||||
\(497\) | 6.77191 | − | 17.6284i | 0.303762 | − | 0.790743i | ||||
\(498\) | 11.6121 | − | 50.8759i | 0.520350 | − | 2.27980i | ||||
\(499\) | 1.25560 | + | 16.7549i | 0.0562086 | + | 0.750052i | 0.952102 | + | 0.305782i | \(0.0989178\pi\) |
−0.895893 | + | 0.444270i | \(0.853463\pi\) | |||||||
\(500\) | −45.5246 | − | 14.0425i | −2.03592 | − | 0.627999i | ||||
\(501\) | −2.29588 | + | 30.6363i | −0.102572 | + | 1.36873i | ||||
\(502\) | −19.9183 | + | 50.7511i | −0.888999 | + | 2.26513i | ||||
\(503\) | −36.0451 | + | 17.3584i | −1.60717 | + | 0.773972i | −0.999791 | − | 0.0204405i | \(-0.993493\pi\) |
−0.607379 | + | 0.794413i | \(0.707779\pi\) | |||||||
\(504\) | −12.5827 | + | 1.98973i | −0.560479 | + | 0.0886294i | ||||
\(505\) | −8.65594 | − | 4.16848i | −0.385184 | − | 0.185495i | ||||
\(506\) | 27.2158 | − | 25.2526i | 1.20989 | − | 1.12261i | ||||
\(507\) | 1.48489 | − | 0.223811i | 0.0659464 | − | 0.00993981i | ||||
\(508\) | 25.9921 | − | 45.0197i | 1.15322 | − | 1.99743i | ||||
\(509\) | −18.2004 | − | 31.5240i | −0.806718 | − | 1.39728i | −0.915125 | − | 0.403170i | \(-0.867908\pi\) |
0.108407 | − | 0.994107i | \(-0.465425\pi\) | |||||||
\(510\) | −8.56864 | − | 10.7447i | −0.379426 | − | 0.475785i | ||||
\(511\) | 12.2262 | − | 15.5607i | 0.540854 | − | 0.688365i | ||||
\(512\) | −31.6120 | + | 39.6401i | −1.39706 | + | 1.75186i | ||||
\(513\) | 7.59558 | + | 1.14485i | 0.335353 | + | 0.0505463i | ||||
\(514\) | 25.4091 | − | 17.3236i | 1.12075 | − | 0.764111i | ||||
\(515\) | −12.6656 | + | 8.63527i | −0.558114 | + | 0.380515i | ||||
\(516\) | 8.07440 | + | 1.21702i | 0.355455 | + | 0.0535763i | ||||
\(517\) | −0.488738 | + | 0.612858i | −0.0214947 | + | 0.0269535i | ||||
\(518\) | −31.1675 | + | 39.6680i | −1.36942 | + | 1.74291i | ||||
\(519\) | −11.0690 | − | 13.8801i | −0.485875 | − | 0.609267i | ||||
\(520\) | 4.02213 | + | 6.96654i | 0.176382 | + | 0.305503i | ||||
\(521\) | 20.1452 | − | 34.8925i | 0.882576 | − | 1.52867i | 0.0341092 | − | 0.999418i | \(-0.489141\pi\) |
0.848467 | − | 0.529249i | \(-0.177526\pi\) | |||||||
\(522\) | −17.7942 | + | 2.68204i | −0.778830 | + | 0.117390i | ||||
\(523\) | 14.5616 | − | 13.5112i | 0.636736 | − | 0.590804i | −0.294309 | − | 0.955710i | \(-0.595089\pi\) |
0.931044 | + | 0.364906i | \(0.118899\pi\) | |||||||
\(524\) | 40.8390 | + | 19.6670i | 1.78406 | + | 0.859157i | ||||
\(525\) | 13.5418 | − | 2.14138i | 0.591012 | − | 0.0934576i | ||||
\(526\) | 61.3345 | − | 29.5371i | 2.67431 | − | 1.28788i | ||||
\(527\) | −0.780805 | + | 1.98946i | −0.0340124 | + | 0.0866622i | ||||
\(528\) | −1.63864 | + | 21.8661i | −0.0713126 | + | 0.951601i | ||||
\(529\) | 30.6155 | + | 9.44363i | 1.33111 | + | 0.410592i | ||||
\(530\) | 0.935645 | + | 12.4853i | 0.0406418 | + | 0.542327i | ||||
\(531\) | −0.891989 | + | 3.90806i | −0.0387090 | + | 0.169595i | ||||
\(532\) | 5.86949 | − | 15.2793i | 0.254475 | − | 0.662440i | ||||
\(533\) | 1.96869 | + | 8.62539i | 0.0852734 | + | 0.373607i | ||||
\(534\) | −43.8667 | + | 13.5311i | −1.89830 | + | 0.585548i | ||||
\(535\) | −2.71484 | − | 6.91729i | −0.117373 | − | 0.299060i | ||||
\(536\) | 69.5554 | + | 64.5380i | 3.00434 | + | 2.78762i | ||||
\(537\) | 6.85217 | + | 4.67173i | 0.295693 | + | 0.201600i | ||||
\(538\) | 26.2118 | 1.13007 | ||||||||
\(539\) | −7.02571 | − | 11.7723i | −0.302619 | − | 0.507067i | ||||
\(540\) | 31.7038 | 1.36431 | ||||||||
\(541\) | −1.01934 | − | 0.694973i | −0.0438248 | − | 0.0298792i | 0.541210 | − | 0.840888i | \(-0.317967\pi\) |
−0.585034 | + | 0.811009i | \(0.698919\pi\) | |||||||
\(542\) | 12.3310 | + | 11.4415i | 0.529664 | + | 0.491456i | ||||
\(543\) | 5.55558 | + | 14.1554i | 0.238413 | + | 0.607466i | ||||
\(544\) | 16.8435 | − | 5.19554i | 0.722160 | − | 0.222757i | ||||
\(545\) | 3.30040 | + | 14.4600i | 0.141374 | + | 0.619398i | ||||
\(546\) | −8.42918 | − | 5.65804i | −0.360736 | − | 0.242142i | ||||
\(547\) | 6.83501 | − | 29.9461i | 0.292244 | − | 1.28040i | −0.589151 | − | 0.808023i | \(-0.700537\pi\) |
0.881394 | − | 0.472381i | \(-0.156605\pi\) | |||||||
\(548\) | 7.23459 | + | 96.5388i | 0.309046 | + | 4.12393i | ||||
\(549\) | 4.79662 | + | 1.47956i | 0.204715 | + | 0.0631462i | ||||
\(550\) | −1.29052 | + | 17.2208i | −0.0550280 | + | 0.734297i | ||||
\(551\) | 4.71711 | − | 12.0190i | 0.200956 | − | 0.512027i | ||||
\(552\) | −64.8705 | + | 31.2400i | −2.76107 | + | 1.32966i | ||||
\(553\) | −5.72784 | − | 5.23807i | −0.243572 | − | 0.222745i | ||||
\(554\) | −20.4447 | − | 9.84564i | −0.868611 | − | 0.418301i | ||||
\(555\) | 10.2240 | − | 9.48653i | 0.433987 | − | 0.402681i | ||||
\(556\) | 64.2445 | − | 9.68329i | 2.72457 | − | 0.410663i | ||||
\(557\) | −20.6202 | + | 35.7153i | −0.873708 | + | 1.51331i | −0.0155749 | + | 0.999879i | \(0.504958\pi\) |
−0.858133 | + | 0.513428i | \(0.828375\pi\) | |||||||
\(558\) | −0.706945 | − | 1.22446i | −0.0299274 | − | 0.0518357i | ||||
\(559\) | −0.748540 | − | 0.938640i | −0.0316599 | − | 0.0397002i | ||||
\(560\) | 5.29023 | − | 23.9761i | 0.223553 | − | 1.01318i | ||||
\(561\) | −5.27645 | + | 6.61646i | −0.222772 | + | 0.279347i | ||||
\(562\) | 2.83478 | + | 0.427274i | 0.119578 | + | 0.0180235i | ||||
\(563\) | 36.9347 | − | 25.1816i | 1.55661 | − | 1.06128i | 0.589227 | − | 0.807967i | \(-0.299432\pi\) |
0.967384 | − | 0.253313i | \(-0.0815201\pi\) | |||||||
\(564\) | 2.24924 | − | 1.53350i | 0.0947099 | − | 0.0645721i | ||||
\(565\) | −2.50295 | − | 0.377259i | −0.105300 | − | 0.0158714i | ||||
\(566\) | −5.36642 | + | 6.72927i | −0.225567 | + | 0.282853i | ||||
\(567\) | −14.7510 | + | 7.23559i | −0.619482 | + | 0.303866i | ||||
\(568\) | −28.7616 | − | 36.0659i | −1.20681 | − | 1.51329i | ||||
\(569\) | 3.36921 | + | 5.83564i | 0.141245 | + | 0.244643i | 0.927966 | − | 0.372666i | \(-0.121556\pi\) |
−0.786721 | + | 0.617309i | \(0.788223\pi\) | |||||||
\(570\) | −3.26171 | + | 5.64945i | −0.136618 | + | 0.236629i | ||||
\(571\) | 28.5870 | − | 4.30879i | 1.19633 | − | 0.180317i | 0.479483 | − | 0.877551i | \(-0.340824\pi\) |
0.716844 | + | 0.697234i | \(0.245586\pi\) | |||||||
\(572\) | 6.50254 | − | 6.03348i | 0.271885 | − | 0.252272i | ||||
\(573\) | 4.78453 | + | 2.30411i | 0.199876 | + | 0.0962554i | ||||
\(574\) | 29.5305 | − | 52.0136i | 1.23258 | − | 2.17101i | ||||
\(575\) | −23.0655 | + | 11.1077i | −0.961896 | + | 0.463225i | ||||
\(576\) | −0.201621 | + | 0.513722i | −0.00840087 | + | 0.0214051i | ||||
\(577\) | 2.93798 | − | 39.2047i | 0.122310 | − | 1.63211i | −0.511966 | − | 0.859005i | \(-0.671083\pi\) |
0.634276 | − | 0.773106i | \(-0.281298\pi\) | |||||||
\(578\) | −21.2913 | − | 6.56750i | −0.885602 | − | 0.273172i | ||||
\(579\) | −0.460899 | − | 6.15027i | −0.0191543 | − | 0.255597i | ||||
\(580\) | 11.8583 | − | 51.9544i | 0.492388 | − | 2.15729i | ||||
\(581\) | 35.6178 | + | 5.10531i | 1.47767 | + | 0.211804i | ||||
\(582\) | −1.08874 | − | 4.77010i | −0.0451299 | − | 0.197727i | ||||
\(583\) | 7.36732 | − | 2.27252i | 0.305123 | − | 0.0941180i | ||||
\(584\) | −17.6607 | − | 44.9988i | −0.730807 | − | 1.86207i | ||||
\(585\) | −0.679752 | − | 0.630717i | −0.0281043 | − | 0.0260769i | ||||
\(586\) | −43.8471 | − | 29.8945i | −1.81131 | − | 1.23493i | ||||
\(587\) | −8.99176 | −0.371130 | −0.185565 | − | 0.982632i | \(-0.559411\pi\) | ||||
−0.185565 | + | 0.982632i | \(0.559411\pi\) | |||||||
\(588\) | 11.2646 | + | 46.2584i | 0.464545 | + | 1.90767i | ||||
\(589\) | 1.01447 | 0.0418003 | ||||||||
\(590\) | −14.1392 | − | 9.63993i | −0.582101 | − | 0.396870i | ||||
\(591\) | −18.3703 | − | 17.0452i | −0.755654 | − | 0.701144i | ||||
\(592\) | 20.3261 | + | 51.7899i | 0.835396 | + | 2.12855i | ||||
\(593\) | −0.923707 | + | 0.284926i | −0.0379321 | + | 0.0117005i | −0.313663 | − | 0.949534i | \(-0.601556\pi\) |
0.275731 | + | 0.961235i | \(0.411080\pi\) | |||||||
\(594\) | −6.26250 | − | 27.4378i | −0.256954 | − | 1.12579i | ||||
\(595\) | 6.89961 | − | 6.49541i | 0.282857 | − | 0.266286i | ||||
\(596\) | 6.06406 | − | 26.5684i | 0.248394 | − | 1.08828i | ||||
\(597\) | 0.372169 | + | 4.96625i | 0.0152319 | + | 0.203255i | ||||
\(598\) | 18.1147 | + | 5.58765i | 0.740765 | + | 0.228496i | ||||
\(599\) | −1.25956 | + | 16.8077i | −0.0514642 | + | 0.686742i | 0.910490 | + | 0.413531i | \(0.135705\pi\) |
−0.961954 | + | 0.273211i | \(0.911914\pi\) | |||||||
\(600\) | 12.2354 | − | 31.1753i | 0.499508 | − | 1.27273i | ||||
\(601\) | 10.6285 | − | 5.11843i | 0.433547 | − | 0.208785i | −0.204365 | − | 0.978895i | \(-0.565513\pi\) |
0.637911 | + | 0.770110i | \(0.279799\pi\) | |||||||
\(602\) | −0.547986 | + | 8.09796i | −0.0223342 | + | 0.330048i | ||||
\(603\) | −9.85451 | − | 4.74568i | −0.401307 | − | 0.193259i | ||||
\(604\) | −2.61158 | + | 2.42319i | −0.106264 | + | 0.0985983i | ||||
\(605\) | 8.81770 | − | 1.32906i | 0.358491 | − | 0.0540338i | ||||
\(606\) | 14.8089 | − | 25.6498i | 0.601572 | − | 1.04195i | ||||
\(607\) | 11.2167 | + | 19.4280i | 0.455273 | + | 0.788557i | 0.998704 | − | 0.0508975i | \(-0.0162082\pi\) |
−0.543430 | + | 0.839454i | \(0.682875\pi\) | |||||||
\(608\) | −5.21665 | − | 6.54147i | −0.211563 | − | 0.265292i | ||||
\(609\) | 8.62175 | + | 36.5536i | 0.349371 | + | 1.48123i | ||||
\(610\) | −13.3608 | + | 16.7539i | −0.540962 | + | 0.678344i | ||||
\(611\) | −0.395776 | − | 0.0596536i | −0.0160114 | − | 0.00241333i | ||||
\(612\) | −8.02259 | + | 5.46971i | −0.324294 | + | 0.221100i | ||||
\(613\) | 33.7141 | − | 22.9859i | 1.36170 | − | 0.928391i | 0.361707 | − | 0.932292i | \(-0.382194\pi\) |
0.999992 | + | 0.00390100i | \(0.00124173\pi\) | |||||||
\(614\) | 11.4074 | + | 1.71938i | 0.460363 | + | 0.0693886i | ||||
\(615\) | −10.3101 | + | 12.9285i | −0.415745 | + | 0.521328i | ||||
\(616\) | −33.4878 | + | 0.242228i | −1.34926 | + | 0.00975964i | ||||
\(617\) | −2.10079 | − | 2.63431i | −0.0845748 | − | 0.106053i | 0.737744 | − | 0.675081i | \(-0.235891\pi\) |
−0.822319 | + | 0.569027i | \(0.807320\pi\) | |||||||
\(618\) | −23.6287 | − | 40.9261i | −0.950485 | − | 1.64629i | ||||
\(619\) | 14.0160 | − | 24.2763i | 0.563349 | − | 0.975748i | −0.433853 | − | 0.900984i | \(-0.642846\pi\) |
0.997201 | − | 0.0747646i | \(-0.0238205\pi\) | |||||||
\(620\) | 4.14030 | − | 0.624049i | 0.166278 | − | 0.0250624i | ||||
\(621\) | 30.5840 | − | 28.3778i | 1.22729 | − | 1.13876i | ||||
\(622\) | −61.8908 | − | 29.8050i | −2.48160 | − | 1.19507i | ||||
\(623\) | −11.7770 | − | 29.3805i | −0.471834 | − | 1.17711i | ||||
\(624\) | −10.0874 | + | 4.85783i | −0.403818 | + | 0.194469i | ||||
\(625\) | 1.52047 | − | 3.87410i | 0.0608189 | − | 0.154964i | ||||
\(626\) | −3.81668 | + | 50.9301i | −0.152545 | + | 2.03558i | ||||
\(627\) | 3.83857 | + | 1.18404i | 0.153298 | + | 0.0472861i | ||||
\(628\) | 2.38801 | + | 31.8658i | 0.0952920 | + | 1.27158i | ||||
\(629\) | −4.77805 | + | 20.9340i | −0.190513 | + | 0.834693i | ||||
\(630\) | 0.513687 | + | 6.24790i | 0.0204658 | + | 0.248922i | ||||
\(631\) | 4.33141 | + | 18.9771i | 0.172431 | + | 0.755468i | 0.984993 | + | 0.172594i | \(0.0552148\pi\) |
−0.812562 | + | 0.582874i | \(0.801928\pi\) | |||||||
\(632\) | −18.1179 | + | 5.58862i | −0.720690 | + | 0.222303i | ||||
\(633\) | −6.80278 | − | 17.3332i | −0.270386 | − | 0.688933i | ||||
\(634\) | −61.3796 | − | 56.9519i | −2.43769 | − | 2.26185i | ||||
\(635\) | −11.8033 | − | 8.04738i | −0.468401 | − | 0.319351i | ||||
\(636\) | −26.7749 | −1.06170 | ||||||||
\(637\) | 3.41194 | − | 6.11217i | 0.135186 | − | 0.242173i | ||||
\(638\) | −47.3060 | −1.87286 | ||||||||
\(639\) | 4.39358 | + | 2.99549i | 0.173807 | + | 0.118500i | ||||
\(640\) | 9.45111 | + | 8.76935i | 0.373588 | + | 0.346639i | ||||
\(641\) | −3.48703 | − | 8.88481i | −0.137729 | − | 0.350929i | 0.845322 | − | 0.534256i | \(-0.179408\pi\) |
−0.983052 | + | 0.183328i | \(0.941313\pi\) | |||||||
\(642\) | 21.8906 | − | 6.75236i | 0.863954 | − | 0.266494i | ||||
\(643\) | 0.629054 | + | 2.75606i | 0.0248075 | + | 0.108689i | 0.985816 | − | 0.167831i | \(-0.0536762\pi\) |
−0.961008 | + | 0.276519i | \(0.910819\pi\) | |||||||
\(644\) | −45.0069 | − | 76.6681i | −1.77352 | − | 3.02115i | ||||
\(645\) | 0.499328 | − | 2.18770i | 0.0196610 | − | 0.0861406i | ||||
\(646\) | −0.750520 | − | 10.0150i | −0.0295288 | − | 0.394035i | ||||
\(647\) | −1.18873 | − | 0.366674i | −0.0467337 | − | 0.0144154i | 0.271300 | − | 0.962495i | \(-0.412546\pi\) |
−0.318034 | + | 0.948079i | \(0.603023\pi\) | |||||||
\(648\) | −2.99926 | + | 40.0223i | −0.117822 | + | 1.57222i | ||||
\(649\) | −3.84988 | + | 9.80934i | −0.151121 | + | 0.385050i | ||||
\(650\) | −7.94438 | + | 3.82581i | −0.311604 | + | 0.150061i | ||||
\(651\) | −2.42601 | + | 1.67986i | −0.0950829 | + | 0.0658388i | ||||
\(652\) | −54.9415 | − | 26.4585i | −2.15168 | − | 1.03619i | ||||
\(653\) | 18.9439 | − | 17.5774i | 0.741331 | − | 0.687855i | −0.216147 | − | 0.976361i | \(-0.569349\pi\) |
0.957478 | + | 0.288506i | \(0.0931585\pi\) | |||||||
\(654\) | −45.2133 | + | 6.81482i | −1.76798 | + | 0.266480i | ||||
\(655\) | 6.22819 | − | 10.7875i | 0.243356 | − | 0.421504i | ||||
\(656\) | −32.9816 | − | 57.1259i | −1.28772 | − | 2.23039i | ||||
\(657\) | 3.47431 | + | 4.35665i | 0.135546 | + | 0.169969i | ||||
\(658\) | 1.70235 | + | 2.10329i | 0.0663645 | + | 0.0819947i | ||||
\(659\) | 22.5621 | − | 28.2920i | 0.878896 | − | 1.10210i | −0.115172 | − | 0.993346i | \(-0.536742\pi\) |
0.994069 | − | 0.108755i | \(-0.0346865\pi\) | |||||||
\(660\) | 16.3946 | + | 2.47108i | 0.638157 | + | 0.0961868i | ||||
\(661\) | −18.7959 | + | 12.8148i | −0.731076 | + | 0.498439i | −0.870730 | − | 0.491761i | \(-0.836353\pi\) |
0.139654 | + | 0.990200i | \(0.455401\pi\) | |||||||
\(662\) | −15.5938 | + | 10.6317i | −0.606071 | + | 0.413212i | ||||
\(663\) | −4.27283 | − | 0.644025i | −0.165943 | − | 0.0250119i | ||||
\(664\) | 54.8016 | − | 68.7190i | 2.12671 | − | 2.66681i | ||||
\(665\) | −4.06656 | − | 1.92224i | −0.157695 | − | 0.0745414i | ||||
\(666\) | −8.85686 | − | 11.1062i | −0.343196 | − | 0.430355i | ||||
\(667\) | −35.0646 | − | 60.7337i | −1.35771 | − | 2.35162i | ||||
\(668\) | −46.3318 | + | 80.2491i | −1.79263 | + | 3.10493i | ||||
\(669\) | −39.5007 | + | 5.95377i | −1.52718 | + | 0.230186i | ||||
\(670\) | 34.2287 | − | 31.7596i | 1.32237 | − | 1.22698i | ||||
\(671\) | 11.8889 | + | 5.72540i | 0.458966 | + | 0.221026i | ||||
\(672\) | 23.3072 | + | 7.00511i | 0.899096 | + | 0.270228i | ||||
\(673\) | 16.7049 | − | 8.04466i | 0.643927 | − | 0.310099i | −0.0832706 | − | 0.996527i | \(-0.526537\pi\) |
0.727198 | + | 0.686428i | \(0.240822\pi\) | |||||||
\(674\) | −7.54504 | + | 19.2244i | −0.290624 | + | 0.740498i | ||||
\(675\) | −1.45023 | + | 19.3520i | −0.0558195 | + | 0.744860i | ||||
\(676\) | 4.32806 | + | 1.33503i | 0.166464 | + | 0.0513473i | ||||
\(677\) | −1.15745 | − | 15.4450i | −0.0444843 | − | 0.593601i | −0.974253 | − | 0.225457i | \(-0.927612\pi\) |
0.929769 | − | 0.368144i | \(-0.120007\pi\) | |||||||
\(678\) | 1.73640 | − | 7.60767i | 0.0666861 | − | 0.292171i | ||||
\(679\) | 3.21648 | − | 1.01769i | 0.123437 | − | 0.0390553i | ||||
\(680\) | −5.15084 | − | 22.5673i | −0.197526 | − | 0.865416i | ||||
\(681\) | 4.25876 | − | 1.31365i | 0.163196 | − | 0.0503393i | ||||
\(682\) | −1.35792 | − | 3.45992i | −0.0519974 | − | 0.132487i | ||||
\(683\) | −19.4296 | − | 18.0280i | −0.743453 | − | 0.689824i | 0.214508 | − | 0.976722i | \(-0.431185\pi\) |
−0.957961 | + | 0.286899i | \(0.907376\pi\) | |||||||
\(684\) | 3.80809 | + | 2.59631i | 0.145606 | + | 0.0992725i | ||||
\(685\) | 26.6039 | 1.01648 | ||||||||
\(686\) | −44.9080 | + | 14.9269i | −1.71460 | + | 0.569910i | ||||
\(687\) | 26.4573 | 1.00941 | ||||||||
\(688\) | 7.39584 | + | 5.04240i | 0.281964 | + | 0.192240i | ||||
\(689\) | 2.88577 | + | 2.67760i | 0.109939 | + | 0.102008i | ||||
\(690\) | 12.9448 | + | 32.9828i | 0.492800 | + | 1.25563i | ||||
\(691\) | 24.0645 | − | 7.42292i | 0.915458 | − | 0.282381i | 0.198990 | − | 0.980002i | \(-0.436234\pi\) |
0.716468 | + | 0.697620i | \(0.245758\pi\) | |||||||
\(692\) | −11.9153 | − | 52.2045i | −0.452953 | − | 1.98452i | ||||
\(693\) | 3.68052 | − | 1.16451i | 0.139812 | − | 0.0442361i | ||||
\(694\) | 14.9594 | − | 65.5413i | 0.567850 | − | 2.48791i | ||||
\(695\) | −1.33425 | − | 17.8043i | −0.0506109 | − | 0.675355i | ||||
\(696\) | 87.6659 | + | 27.0414i | 3.32297 | + | 1.02500i | ||||
\(697\) | 1.90249 | − | 25.3870i | 0.0720619 | − | 0.961600i | ||||
\(698\) | −31.8081 | + | 81.0458i | −1.20396 | + | 3.06763i | ||||
\(699\) | −14.0818 | + | 6.78141i | −0.532621 | + | 0.256497i | ||||
\(700\) | 39.6019 | + | 11.9026i | 1.49681 | + | 0.449874i | ||||
\(701\) | −29.3953 | − | 14.1560i | −1.11024 | − | 0.534665i | −0.213378 | − | 0.976970i | \(-0.568447\pi\) |
−0.896865 | + | 0.442305i | \(0.854161\pi\) | |||||||
\(702\) | 10.5340 | − | 9.77411i | 0.397580 | − | 0.368900i | ||||
\(703\) | 10.0785 | − | 1.51908i | 0.380116 | − | 0.0572933i | ||||
\(704\) | −0.725383 | + | 1.25640i | −0.0273389 | + | 0.0473524i | ||||
\(705\) | −0.374047 | − | 0.647869i | −0.0140874 | − | 0.0244002i | ||||
\(706\) | 25.0675 | + | 31.4336i | 0.943426 | + | 1.18302i | ||||
\(707\) | 18.4631 | + | 8.72743i | 0.694378 | + | 0.328229i | ||||
\(708\) | 22.8171 | − | 28.6118i | 0.857521 | − | 1.07530i | ||||
\(709\) | 0.735830 | + | 0.110909i | 0.0276347 | + | 0.00416526i | 0.162845 | − | 0.986652i | \(-0.447933\pi\) |
−0.135210 | + | 0.990817i | \(0.543171\pi\) | |||||||
\(710\) | −18.7564 | + | 12.7879i | −0.703914 | + | 0.479920i | ||||
\(711\) | 1.80583 | − | 1.23120i | 0.0677241 | − | 0.0461735i | ||||
\(712\) | −76.4571 | − | 11.5240i | −2.86535 | − | 0.431882i | ||||
\(713\) | 3.43548 | − | 4.30796i | 0.128660 | − | 0.161334i | ||||
\(714\) | 18.3787 | + | 22.7072i | 0.687805 | + | 0.849797i | ||||
\(715\) | −1.51987 | − | 1.90585i | −0.0568397 | − | 0.0712748i | ||||
\(716\) | 12.5069 | + | 21.6626i | 0.467404 | + | 0.809568i | ||||
\(717\) | 9.63073 | − | 16.6809i | 0.359666 | − | 0.622960i | ||||
\(718\) | 74.2667 | − | 11.1939i | 2.77161 | − | 0.417753i | ||||
\(719\) | 33.4728 | − | 31.0582i | 1.24833 | − | 1.15828i | 0.267465 | − | 0.963568i | \(-0.413814\pi\) |
0.980861 | − | 0.194710i | \(-0.0623765\pi\) | |||||||
\(720\) | 6.22904 | + | 2.99975i | 0.232143 | + | 0.111794i | ||||
\(721\) | 26.7892 | − | 18.5498i | 0.997683 | − | 0.690832i | ||||
\(722\) | 39.4467 | − | 18.9965i | 1.46805 | − | 0.706977i | ||||
\(723\) | 6.74623 | − | 17.1891i | 0.250895 | − | 0.639270i | ||||
\(724\) | −3.42755 | + | 45.7374i | −0.127384 | + | 1.69982i | ||||
\(725\) | 31.1706 | + | 9.61487i | 1.15765 | + | 0.357087i | ||||
\(726\) | 2.05437 | + | 27.4136i | 0.0762447 | + | 1.01742i | ||||
\(727\) | −5.61102 | + | 24.5835i | −0.208101 | + | 0.911750i | 0.757728 | + | 0.652571i | \(0.226309\pi\) |
−0.965829 | + | 0.259180i | \(0.916548\pi\) | |||||||
\(728\) | −8.65655 | − | 14.7462i | −0.320833 | − | 0.546531i | ||||
\(729\) | −6.66703 | − | 29.2102i | −0.246927 | − | 1.08186i | ||||
\(730\) | −22.7318 | + | 7.01183i | −0.841341 | + | 0.259519i | ||||
\(731\) | 1.26213 | + | 3.21586i | 0.0466817 | + | 0.118943i | ||||
\(732\) | −33.5931 | − | 31.1698i | −1.24164 | − | 1.15207i | ||||
\(733\) | 14.1945 | + | 9.67767i | 0.524287 | + | 0.357453i | 0.796359 | − | 0.604824i | \(-0.206757\pi\) |
−0.272072 | + | 0.962277i | \(0.587709\pi\) | |||||||
\(734\) | 59.8191 | 2.20796 | ||||||||
\(735\) | 12.9079 | − | 2.13696i | 0.476115 | − | 0.0788229i | ||||
\(736\) | −45.4447 | −1.67511 | ||||||||
\(737\) | −23.7570 | − | 16.1972i | −0.875099 | − | 0.596633i | ||||
\(738\) | 12.3462 | + | 11.4556i | 0.454469 | + | 0.421686i | ||||
\(739\) | −0.621870 | − | 1.58450i | −0.0228759 | − | 0.0582867i | 0.918980 | − | 0.394305i | \(-0.129015\pi\) |
−0.941855 | + | 0.336019i | \(0.890920\pi\) | |||||||
\(740\) | 40.1984 | − | 12.3996i | 1.47772 | − | 0.455817i | ||||
\(741\) | 0.456412 | + | 1.99967i | 0.0167667 | + | 0.0734598i | ||||
\(742\) | −2.18077 | − | 26.5244i | −0.0800585 | − | 0.973741i | ||||
\(743\) | −9.21096 | + | 40.3559i | −0.337917 | + | 1.48051i | 0.465474 | + | 0.885062i | \(0.345884\pi\) |
−0.803391 | + | 0.595451i | \(0.796973\pi\) | |||||||
\(744\) | 0.538669 | + | 7.18804i | 0.0197486 | + | 0.263526i | ||||
\(745\) | −7.15622 | − | 2.20740i | −0.262184 | − | 0.0808729i | ||||
\(746\) | −5.42244 | + | 72.3574i | −0.198529 | + | 2.64919i | ||||
\(747\) | −3.70161 | + | 9.43156i | −0.135435 | + | 0.345083i | ||||
\(748\) | −22.9974 | + | 11.0750i | −0.840869 | + | 0.404941i | ||||
\(749\) | 5.87700 | + | 14.6616i | 0.214741 | + | 0.535725i | ||||
\(750\) | −36.3637 | − | 17.5119i | −1.32782 | − | 0.639443i | ||||
\(751\) | 22.1004 | − | 20.5061i | 0.806453 | − | 0.748279i | −0.164800 | − | 0.986327i | \(-0.552698\pi\) |
0.971254 | + | 0.238048i | \(0.0765074\pi\) | |||||||
\(752\) | 2.95084 | − | 0.444767i | 0.107606 | − | 0.0162190i | ||||
\(753\) | −16.0201 | + | 27.7476i | −0.583805 | + | 1.01118i | ||||
\(754\) | −12.0772 | − | 20.9184i | −0.439827 | − | 0.761802i | ||||
\(755\) | 0.610415 | + | 0.765436i | 0.0222153 | + | 0.0278571i | ||||
\(756\) | −67.3895 | + | 0.487450i | −2.45093 | + | 0.0177284i | ||||
\(757\) | −18.7847 | + | 23.5553i | −0.682743 | + | 0.856133i | −0.995604 | − | 0.0936661i | \(-0.970141\pi\) |
0.312860 | + | 0.949799i | \(0.398713\pi\) | |||||||
\(758\) | −2.28637 | − | 0.344616i | −0.0830449 | − | 0.0125170i | ||||
\(759\) | 18.0274 | − | 12.2909i | 0.654352 | − | 0.446130i | ||||
\(760\) | −9.07832 | + | 6.18949i | −0.329305 | + | 0.224516i | ||||
\(761\) | 40.5065 | + | 6.10537i | 1.46836 | + | 0.221320i | 0.834020 | − | 0.551735i | \(-0.186034\pi\) |
0.634340 | + | 0.773054i | \(0.281272\pi\) | |||||||
\(762\) | 27.4586 | − | 34.4319i | 0.994719 | − | 1.24734i | ||||
\(763\) | −7.23765 | − | 30.6854i | −0.262020 | − | 1.11089i | ||||
\(764\) | 9.98654 | + | 12.5227i | 0.361300 | + | 0.453056i | ||||
\(765\) | 1.33415 | + | 2.31082i | 0.0482365 | + | 0.0835480i | ||||
\(766\) | 0.838717 | − | 1.45270i | 0.0303041 | − | 0.0524882i | ||||
\(767\) | −5.32049 | + | 0.801935i | −0.192112 | + | 0.0289562i | ||||
\(768\) | −30.7670 | + | 28.5476i | −1.11021 | + | 1.03012i | ||||
\(769\) | 11.9113 | + | 5.73618i | 0.429533 | + | 0.206852i | 0.636143 | − | 0.771571i | \(-0.280529\pi\) |
−0.206610 | + | 0.978423i | \(0.566243\pi\) | |||||||
\(770\) | −1.11265 | + | 16.4424i | −0.0400972 | + | 0.592543i | ||||
\(771\) | 16.2829 | − | 7.84145i | 0.586416 | − | 0.282403i | ||||
\(772\) | 6.79619 | − | 17.3164i | 0.244600 | − | 0.623231i | ||||
\(773\) | −0.548389 | + | 7.31774i | −0.0197242 | + | 0.263201i | 0.978620 | + | 0.205677i | \(0.0659396\pi\) |
−0.998344 | + | 0.0575239i | \(0.981679\pi\) | |||||||
\(774\) | −2.18394 | − | 0.673657i | −0.0785002 | − | 0.0242141i | ||||
\(775\) | 0.191530 | + | 2.55579i | 0.00687996 | + | 0.0918066i | ||||
\(776\) | 1.83379 | − | 8.03437i | 0.0658293 | − | 0.288417i | ||||
\(777\) | −21.5864 | + | 20.3217i | −0.774406 | + | 0.729039i | ||||
\(778\) | −3.48631 | − | 15.2745i | −0.124990 | − | 0.547618i | ||||
\(779\) | −11.5474 | + | 3.56190i | −0.413728 | + | 0.127618i | ||||
\(780\) | 3.09284 | + | 7.88042i | 0.110741 | + | 0.282164i | ||||
\(781\) | 10.2473 | + | 9.50807i | 0.366676 | + | 0.340225i | ||||
\(782\) | −45.0706 | − | 30.7286i | −1.61172 | − | 1.09885i | ||||
\(783\) | −53.1606 | −1.89980 | ||||||||
\(784\) | −10.8763 | + | 51.0449i | −0.388438 | + | 1.82303i | ||||
\(785\) | 8.78149 | 0.313425 | ||||||||
\(786\) | 31.7283 | + | 21.6320i | 1.13171 | + | 0.771587i | ||||
\(787\) | 5.34873 | + | 4.96289i | 0.190662 | + | 0.176908i | 0.769727 | − | 0.638373i | \(-0.220392\pi\) |
−0.579066 | + | 0.815281i | \(0.696583\pi\) | |||||||
\(788\) | −27.6145 | − | 70.3605i | −0.983725 | − | 2.50649i | ||||
\(789\) | 38.2295 | − | 11.7922i | 1.36101 | − | 0.419815i | ||||
\(790\) | 2.07622 | + | 9.09652i | 0.0738686 | + | 0.323639i | ||||
\(791\) | 5.32606 | + | 0.763418i | 0.189373 | + | 0.0271440i | ||||
\(792\) | 2.09836 | − | 9.19349i | 0.0745618 | − | 0.326677i | ||||
\(793\) | 0.503510 | + | 6.71888i | 0.0178802 | + | 0.238594i | ||||
\(794\) | −35.5133 | − | 10.9544i | −1.26032 | − | 0.388757i | ||||
\(795\) | −0.549859 | + | 7.33736i | −0.0195015 | + | 0.260229i | ||||
\(796\) | −5.48782 | + | 13.9827i | −0.194511 | + | 0.495605i | ||||
\(797\) | 42.3773 | − | 20.4079i | 1.50108 | − | 0.722883i | 0.510510 | − | 0.859872i | \(-0.329457\pi\) |
0.990573 | + | 0.136989i | \(0.0437424\pi\) | |||||||
\(798\) | 6.84623 | − | 12.0586i | 0.242354 | − | 0.426870i | ||||
\(799\) | 1.03767 | + | 0.499714i | 0.0367100 | + | 0.0176786i | ||||
\(800\) | 15.4953 | − | 14.3776i | 0.547843 | − | 0.508324i | ||||
\(801\) | 8.81347 | − | 1.32842i | 0.311409 | − | 0.0469373i | ||||
\(802\) | 7.96142 | − | 13.7896i | 0.281128 | − | 0.486927i | ||||
\(803\) | 7.32436 | + | 12.6862i | 0.258471 | + | 0.447685i | ||||
\(804\) | 62.2584 | + | 78.0695i | 2.19568 | + | 2.75330i | ||||
\(805\) | −21.9343 | + | 10.7591i | −0.773082 | + | 0.379209i | ||||
\(806\) | 1.18328 | − | 1.48378i | 0.0416791 | − | 0.0522639i | ||||
\(807\) | 15.2320 | + | 2.29586i | 0.536193 | + | 0.0808181i | ||||
\(808\) | 41.2177 | − | 28.1017i | 1.45003 | − | 0.988616i | ||||
\(809\) | −12.3063 | + | 8.39031i | −0.432667 | + | 0.294988i | −0.760002 | − | 0.649921i | \(-0.774802\pi\) |
0.327334 | + | 0.944909i | \(0.393850\pi\) | |||||||
\(810\) | 19.5299 | + | 2.94366i | 0.686210 | + | 0.103430i | ||||
\(811\) | −24.7396 | + | 31.0225i | −0.868724 | + | 1.08935i | 0.126523 | + | 0.991964i | \(0.459618\pi\) |
−0.995247 | + | 0.0973819i | \(0.968953\pi\) | |||||||
\(812\) | −24.4071 | + | 110.617i | −0.856521 | + | 3.88188i | ||||
\(813\) | 6.16361 | + | 7.72892i | 0.216167 | + | 0.271065i | ||||
\(814\) | −18.6716 | − | 32.3401i | −0.654438 | − | 1.13352i | ||||
\(815\) | −8.37892 | + | 14.5127i | −0.293501 | + | 0.508358i | ||||
\(816\) | 31.8575 | − | 4.80174i | 1.11523 | − | 0.168095i | ||||
\(817\) | 1.20208 | − | 1.11537i | 0.0420555 | − | 0.0390218i | ||||
\(818\) | 0.561605 | + | 0.270455i | 0.0196360 | + | 0.00945622i | ||||
\(819\) | 1.45458 | + | 1.33020i | 0.0508270 | + | 0.0464810i | ||||
\(820\) | −44.9368 | + | 21.6404i | −1.56926 | + | 0.755716i | ||||
\(821\) | −15.5015 | + | 39.4972i | −0.541006 | + | 1.37846i | 0.355187 | + | 0.934795i | \(0.384417\pi\) |
−0.896193 | + | 0.443665i | \(0.853678\pi\) | |||||||
\(822\) | −6.12900 | + | 81.7859i | −0.213774 | + | 2.85261i | ||||
\(823\) | −10.8353 | − | 3.34224i | −0.377694 | − | 0.116503i | 0.100095 | − | 0.994978i | \(-0.468085\pi\) |
−0.477789 | + | 0.878475i | \(0.658562\pi\) | |||||||
\(824\) | −5.94825 | − | 79.3739i | −0.207217 | − | 2.76512i | ||||
\(825\) | −2.25829 | + | 9.89423i | −0.0786237 | + | 0.344473i | ||||
\(826\) | 30.2024 | + | 20.2732i | 1.05088 | + | 0.705396i | ||||
\(827\) | −8.22592 | − | 36.0401i | −0.286043 | − | 1.25324i | −0.889904 | − | 0.456148i | \(-0.849229\pi\) |
0.603861 | − | 0.797090i | \(-0.293628\pi\) | |||||||
\(828\) | 23.9214 | − | 7.37878i | 0.831327 | − | 0.256430i | ||||
\(829\) | 13.1424 | + | 33.4864i | 0.456456 | + | 1.16303i | 0.955116 | + | 0.296232i | \(0.0957303\pi\) |
−0.498660 | + | 0.866797i | \(0.666174\pi\) | |||||||
\(830\) | −31.7072 | − | 29.4200i | −1.10057 | − | 1.02118i | ||||
\(831\) | −11.0183 | − | 7.51218i | −0.382222 | − | 0.260595i | ||||
\(832\) | −0.740761 | −0.0256813 | ||||||||
\(833\) | −14.5659 | + | 13.9127i | −0.504680 | + | 0.482047i | ||||
\(834\) | 55.0415 | 1.90593 | ||||||||
\(835\) | 21.0398 | + | 14.3447i | 0.728113 | + | 0.496419i | ||||
\(836\) | 8.88171 | + | 8.24103i | 0.307180 | + | 0.285022i | ||||
\(837\) | −1.52597 | − | 3.88812i | −0.0527454 | − | 0.134393i | ||||
\(838\) | 84.8668 | − | 26.1779i | 2.93167 | − | 0.904302i | ||||
\(839\) | −5.77872 | − | 25.3182i | −0.199503 | − | 0.874082i | −0.971233 | − | 0.238131i | \(-0.923465\pi\) |
0.771730 | − | 0.635951i | \(-0.219392\pi\) | |||||||
\(840\) | 11.4608 | − | 29.8345i | 0.395437 | − | 1.02939i | ||||
\(841\) | −13.4307 | + | 58.8438i | −0.463128 | + | 2.02910i | ||||
\(842\) | 5.06927 | + | 67.6447i | 0.174699 | + | 2.33119i | ||||
\(843\) | 1.60991 | + | 0.496591i | 0.0554482 | + | 0.0171035i | ||||
\(844\) | 4.19701 | − | 56.0052i | 0.144467 | − | 1.92778i | ||||
\(845\) | 0.454731 | − | 1.15864i | 0.0156432 | − | 0.0398583i | ||||
\(846\) | −0.686482 | + | 0.330592i | −0.0236017 | + | 0.0113660i | ||||
\(847\) | −18.7225 | + | 2.96061i | −0.643311 | + | 0.101728i | ||||
\(848\) | −26.4443 | − | 12.7349i | −0.908101 | − | 0.437318i | ||||
\(849\) | −3.70792 | + | 3.44044i | −0.127255 | + | 0.118076i | ||||
\(850\) | 25.0895 | − | 3.78164i | 0.860564 | − | 0.129709i | ||||
\(851\) | 27.6798 | − | 47.9429i | 0.948853 | − | 1.64346i | ||||
\(852\) | −24.2731 | − | 42.0423i | −0.831584 | − | 1.44035i | ||||
\(853\) | −27.8836 | − | 34.9650i | −0.954718 | − | 1.19718i | −0.980302 | − | 0.197506i | \(-0.936716\pi\) |
0.0255840 | − | 0.999673i | \(-0.491855\pi\) | |||||||
\(854\) | 28.1420 | − | 35.8174i | 0.963001 | − | 1.22565i | ||||
\(855\) | 0.789693 | − | 0.990244i | 0.0270069 | − | 0.0338656i | ||||
\(856\) | 38.1540 | + | 5.75080i | 1.30408 | + | 0.196558i | ||||
\(857\) | −9.83162 | + | 6.70308i | −0.335842 | + | 0.228973i | −0.719484 | − | 0.694509i | \(-0.755622\pi\) |
0.383643 | + | 0.923482i | \(0.374669\pi\) | |||||||
\(858\) | 6.20912 | − | 4.23331i | 0.211976 | − | 0.144523i | ||||
\(859\) | 20.5960 | + | 3.10435i | 0.702728 | + | 0.105919i | 0.490680 | − | 0.871340i | \(-0.336749\pi\) |
0.212048 | + | 0.977259i | \(0.431987\pi\) | |||||||
\(860\) | 4.21989 | − | 5.29157i | 0.143897 | − | 0.180441i | ||||
\(861\) | 21.7165 | − | 27.6393i | 0.740095 | − | 0.941947i | ||||
\(862\) | 51.7286 | + | 64.8656i | 1.76188 | + | 2.20933i | ||||
\(863\) | 19.2365 | + | 33.3186i | 0.654819 | + | 1.13418i | 0.981939 | + | 0.189197i | \(0.0605883\pi\) |
−0.327121 | + | 0.944983i | \(0.606078\pi\) | |||||||
\(864\) | −17.2244 | + | 29.8335i | −0.585986 | + | 1.01496i | ||||
\(865\) | −14.5507 | + | 2.19317i | −0.494739 | + | 0.0745699i | ||||
\(866\) | −61.1557 | + | 56.7442i | −2.07816 | + | 1.92825i | ||||
\(867\) | −11.7975 | − | 5.68136i | −0.400663 | − | 0.192949i | ||||
\(868\) | −8.79101 | + | 1.39014i | −0.298386 | + | 0.0471843i | ||||
\(869\) | 5.17657 | − | 2.49291i | 0.175603 | − | 0.0845661i | ||||
\(870\) | 16.4940 | − | 42.0259i | 0.559197 | − | 1.42481i | ||||
\(871\) | 1.09714 | − | 14.6403i | 0.0371751 | − | 0.496068i | ||||
\(872\) | −73.5924 | − | 22.7002i | −2.49215 | − | 0.768727i | ||||
\(873\) | 0.0709911 | + | 0.947310i | 0.00240268 | + | 0.0320616i | ||||
\(874\) | −5.76172 | + | 25.2437i | −0.194893 | + | 0.853882i | ||||
\(875\) | 9.97954 | − | 25.9784i | 0.337370 | − | 0.878231i | ||||
\(876\) | −11.3202 | − | 49.5970i | −0.382474 | − | 1.67573i | ||||
\(877\) | −37.2609 | + | 11.4935i | −1.25821 | + | 0.388107i | −0.850971 | − | 0.525213i | \(-0.823985\pi\) |
−0.407242 | + | 0.913320i | \(0.633509\pi\) | |||||||
\(878\) | 36.3414 | + | 92.5964i | 1.22646 | + | 3.12498i | ||||
\(879\) | −22.8618 | − | 21.2126i | −0.771109 | − | 0.715485i | ||||
\(880\) | 15.0168 | + | 10.2383i | 0.506216 | + | 0.345132i | ||||
\(881\) | 3.87059 | 0.130404 | 0.0652018 | − | 0.997872i | \(-0.479231\pi\) | ||||
0.0652018 | + | 0.997872i | \(0.479231\pi\) | |||||||
\(882\) | −1.18795 | − | 13.2726i | −0.0400005 | − | 0.446913i | ||||
\(883\) | −24.4117 | −0.821519 | −0.410760 | − | 0.911744i | \(-0.634736\pi\) | ||||
−0.410760 | + | 0.911744i | \(0.634736\pi\) | |||||||
\(884\) | −10.7685 | − | 7.34184i | −0.362184 | − | 0.246933i | ||||
\(885\) | −7.37214 | − | 6.84035i | −0.247812 | − | 0.229936i | ||||
\(886\) | 14.0965 | + | 35.9174i | 0.473582 | + | 1.20667i | ||||
\(887\) | 12.1942 | − | 3.76140i | 0.409440 | − | 0.126295i | −0.0831916 | − | 0.996534i | \(-0.526511\pi\) |
0.492631 | + | 0.870238i | \(0.336035\pi\) | |||||||
\(888\) | 16.1151 | + | 70.6048i | 0.540787 | + | 2.36934i | ||||
\(889\) | 25.2129 | + | 16.9240i | 0.845613 | + | 0.567613i | ||||
\(890\) | −8.46693 | + | 37.0960i | −0.283812 | + | 1.24346i | ||||
\(891\) | −0.908873 | − | 12.1281i | −0.0304484 | − | 0.406305i | ||||
\(892\) | −115.134 | − | 35.5141i | −3.85496 | − | 1.18910i | ||||
\(893\) | 0.0408542 | − | 0.545161i | 0.00136713 | − | 0.0182431i | ||||
\(894\) | 8.43466 | − | 21.4912i | 0.282097 | − | 0.718772i | ||||
\(895\) | 6.19321 | − | 2.98249i | 0.207016 | − | 0.0996938i | ||||
\(896\) | −20.2241 | − | 18.4948i | −0.675640 | − | 0.617868i | ||||
\(897\) | 10.0373 | + | 4.83371i | 0.335136 | + | 0.161393i | ||||
\(898\) | −30.3266 | + | 28.1389i | −1.01201 | + | 0.939008i | ||||
\(899\) | −6.94241 | + | 1.04640i | −0.231542 | + | 0.0348994i | ||||
\(900\) | −5.82205 | + | 10.0841i | −0.194068 | + | 0.336136i | ||||
\(901\) | −5.66392 | − | 9.81020i | −0.188693 | − | 0.326825i | ||||
\(902\) | 27.6050 | + | 34.6156i | 0.919145 | + | 1.15257i | ||||
\(903\) | −1.02773 | + | 4.65785i | −0.0342009 | + | 0.155003i | ||||
\(904\) | 8.19469 | − | 10.2758i | 0.272551 | − | 0.341769i | ||||
\(905\) | 12.4634 | + | 1.87856i | 0.414298 | + | 0.0624453i | ||||
\(906\) | −2.49373 | + | 1.70020i | −0.0828488 | + | 0.0564853i | ||||
\(907\) | 1.72514 | − | 1.17618i | 0.0572823 | − | 0.0390544i | −0.534340 | − | 0.845269i | \(-0.679440\pi\) |
0.591623 | + | 0.806215i | \(0.298488\pi\) | |||||||
\(908\) | 13.2922 | + | 2.00348i | 0.441118 | + | 0.0664879i | ||||
\(909\) | −3.58539 | + | 4.49594i | −0.118920 | + | 0.149121i | ||||
\(910\) | −7.55477 | + | 3.70574i | −0.250438 | + | 0.122844i | ||||
\(911\) | 0.0998111 | + | 0.125159i | 0.00330689 | + | 0.00414671i | 0.783482 | − | 0.621414i | \(-0.213442\pi\) |
−0.780175 | + | 0.625561i | \(0.784870\pi\) | |||||||
\(912\) | −7.64632 | − | 13.2438i | −0.253195 | − | 0.438546i | ||||
\(913\) | −13.3175 | + | 23.0666i | −0.440745 | + | 0.763393i | ||||
\(914\) | −12.4327 | + | 1.87392i | −0.411236 | + | 0.0619839i | ||||
\(915\) | −9.23160 | + | 8.56567i | −0.305187 | + | 0.283172i | ||||
\(916\) | 71.8971 | + | 34.6238i | 2.37555 | + | 1.14400i | ||||
\(917\) | −13.0728 | + | 23.0257i | −0.431701 | + | 0.760377i | ||||
\(918\) | −37.2553 | + | 17.9412i | −1.22961 | + | 0.592148i | ||||
\(919\) | 6.57683 | − | 16.7575i | 0.216950 | − | 0.552779i | −0.780420 | − | 0.625255i | \(-0.784995\pi\) |
0.997370 | + | 0.0724763i | \(0.0230902\pi\) | |||||||
\(920\) | −4.45981 | + | 59.5121i | −0.147036 | + | 1.96205i | ||||
\(921\) | 6.47839 | + | 1.99832i | 0.213470 | + | 0.0658468i | ||||
\(922\) | 1.37340 | + | 18.3267i | 0.0452305 | + | 0.603559i | ||||
\(923\) | −1.58827 | + | 6.95867i | −0.0522786 | + | 0.229048i | ||||
\(924\) | −34.8862 | − | 5.00046i | −1.14767 | − | 0.164503i | ||||
\(925\) | 5.72990 | + | 25.1043i | 0.188398 | + | 0.825425i | ||||
\(926\) | 1.17582 | − | 0.362693i | 0.0386399 | − | 0.0119188i | ||||
\(927\) | 3.35214 | + | 8.54110i | 0.110099 | + | 0.280527i | ||||
\(928\) | 42.4471 | + | 39.3851i | 1.39339 | + | 1.29288i | ||||
\(929\) | −17.9954 | − | 12.2690i | −0.590409 | − | 0.402534i | 0.230934 | − | 0.972970i | \(-0.425822\pi\) |
−0.821342 | + | 0.570436i | \(0.806774\pi\) | |||||||
\(930\) | 3.54720 | 0.116317 | ||||||||
\(931\) | 8.67344 | + | 4.02339i | 0.284260 | + | 0.131861i | ||||
\(932\) | −47.1415 | −1.54417 | ||||||||
\(933\) | −33.3551 | − | 22.7411i | −1.09200 | − | 0.744511i | ||||
\(934\) | −12.1563 | − | 11.2794i | −0.397766 | − | 0.369073i | ||||
\(935\) | 2.56268 | + | 6.52961i | 0.0838087 | + | 0.213541i | ||||
\(936\) | 4.60100 | − | 1.41922i | 0.150389 | − | 0.0463887i | ||||
\(937\) | −11.3210 | − | 49.6007i | −0.369842 | − | 1.62039i | −0.727205 | − | 0.686420i | \(-0.759181\pi\) |
0.357363 | − | 0.933966i | \(-0.383676\pi\) | |||||||
\(938\) | −72.2681 | + | 68.0344i | −2.35964 | + | 2.22140i | ||||
\(939\) | −6.67885 | + | 29.2620i | −0.217956 | + | 0.954928i | ||||
\(940\) | −0.168620 | − | 2.25008i | −0.00549977 | − | 0.0733894i | ||||
\(941\) | −1.60606 | − | 0.495405i | −0.0523562 | − | 0.0161497i | 0.268466 | − | 0.963289i | \(-0.413483\pi\) |
−0.320823 | + | 0.947139i | \(0.603959\pi\) | |||||||
\(942\) | −2.02308 | + | 26.9961i | −0.0659154 | + | 0.879581i | ||||
\(943\) | −23.9795 | + | 61.0987i | −0.780879 | + | 1.98965i | ||||
\(944\) | 36.1439 | − | 17.4060i | 1.17638 | − | 0.566517i | ||||
\(945\) | −1.25035 | + | 18.4773i | −0.0406740 | + | 0.601067i | ||||
\(946\) | −5.41312 | − | 2.60682i | −0.175996 | − | 0.0847551i | ||||
\(947\) | 35.6540 | − | 33.0821i | 1.15860 | − | 1.07502i | 0.162508 | − | 0.986707i | \(-0.448042\pi\) |
0.996092 | − | 0.0883164i | \(-0.0281487\pi\) | |||||||
\(948\) | −19.7305 | + | 2.97389i | −0.640816 | + | 0.0965875i | ||||
\(949\) | −3.73982 | + | 6.47756i | −0.121400 | + | 0.210270i | ||||
\(950\) | −6.02190 | − | 10.4302i | −0.195376 | − | 0.338402i | ||||
\(951\) | −30.6802 | − | 38.4718i | −0.994875 | − | 1.24753i | ||||
\(952\) | 11.2956 | + | 47.8898i | 0.366092 | + | 1.55212i | ||||
\(953\) | 13.4043 | − | 16.8085i | 0.434209 | − | 0.544481i | −0.515798 | − | 0.856710i | \(-0.672504\pi\) |
0.950007 | + | 0.312230i | \(0.101076\pi\) | |||||||
\(954\) | 7.41037 | + | 1.11693i | 0.239920 | + | 0.0361621i | ||||
\(955\) | 3.63679 | − | 2.47952i | 0.117684 | − | 0.0802355i | ||||
\(956\) | 48.0011 | − | 32.7266i | 1.55247 | − | 1.05845i | ||||
\(957\) | −27.4902 | − | 4.14349i | −0.888633 | − | 0.133940i | ||||
\(958\) | −27.1058 | + | 33.9896i | −0.875749 | + | 1.09816i | ||||
\(959\) | −56.5492 | + | 0.409038i | −1.82607 | + | 0.0132085i | ||||
\(960\) | −0.863250 | − | 1.08248i | −0.0278613 | − | 0.0349370i | ||||
\(961\) | 15.2242 | + | 26.3691i | 0.491103 | + | 0.850615i | ||||
\(962\) | 9.53370 | − | 16.5129i | 0.307379 | − | 0.532396i | ||||
\(963\) | −4.39815 | + | 0.662914i | −0.141728 | + | 0.0213621i | ||||
\(964\) | 40.8276 | − | 37.8825i | 1.31497 | − | 1.22011i | ||||
\(965\) | −4.60579 | − | 2.21803i | −0.148266 | − | 0.0714009i | ||||
\(966\) | −28.0226 | − | 69.9092i | −0.901611 | − | 2.24929i | ||||
\(967\) | −21.7636 | + | 10.4808i | −0.699872 | + | 0.337040i | −0.749756 | − | 0.661715i | \(-0.769829\pi\) |
0.0498841 | + | 0.998755i | \(0.484115\pi\) | |||||||
\(968\) | −16.9163 | + | 43.1020i | −0.543710 | + | 1.38535i | ||||
\(969\) | 0.441065 | − | 5.88560i | 0.0141690 | − | 0.189073i | ||||
\(970\) | −3.87527 | − | 1.19536i | −0.124427 | − | 0.0383808i | ||||
\(971\) | −3.08004 | − | 41.1002i | −0.0988431 | − | 1.31897i | −0.797416 | − | 0.603430i | \(-0.793800\pi\) |
0.698573 | − | 0.715539i | \(-0.253819\pi\) | |||||||
\(972\) | 7.60526 | − | 33.3208i | 0.243939 | − | 1.06877i | ||||
\(973\) | 3.10982 | + | 37.8243i | 0.0996962 | + | 1.21259i | ||||
\(974\) | 15.4699 | + | 67.7782i | 0.495688 | + | 2.17175i | ||||
\(975\) | −4.95170 | + | 1.52740i | −0.158581 | + | 0.0489158i | ||||
\(976\) | −18.3530 | − | 46.7627i | −0.587465 | − | 1.49684i | ||||
\(977\) | 19.9470 | + | 18.5081i | 0.638161 | + | 0.592127i | 0.931438 | − | 0.363901i | \(-0.118555\pi\) |
−0.293277 | + | 0.956028i | \(0.594746\pi\) | |||||||
\(978\) | −42.6848 | − | 29.1020i | −1.36491 | − | 0.930579i | ||||
\(979\) | 23.4307 | 0.748848 | ||||||||
\(980\) | 37.8735 | + | 11.0850i | 1.20983 | + | 0.354099i | ||||
\(981\) | 8.87765 | 0.283442 | ||||||||
\(982\) | −42.4422 | − | 28.9366i | −1.35438 | − | 0.923403i | ||||
\(983\) | −26.7112 | − | 24.7844i | −0.851956 | − | 0.790500i | 0.127567 | − | 0.991830i | \(-0.459283\pi\) |
−0.979523 | + | 0.201330i | \(0.935474\pi\) | |||||||
\(984\) | −31.3695 | − | 79.9281i | −1.00002 | − | 2.54802i | ||||
\(985\) | −19.8486 | + | 6.12247i | −0.632428 | + | 0.195078i | ||||
\(986\) | 15.4664 | + | 67.7626i | 0.492550 | + | 2.15800i | ||||
\(987\) | 0.805036 | + | 1.37136i | 0.0256246 | + | 0.0436508i | ||||
\(988\) | −1.37662 | + | 6.03136i | −0.0437961 | + | 0.191883i | ||||
\(989\) | −0.665604 | − | 8.88187i | −0.0211650 | − | 0.282427i | ||||
\(990\) | −4.43436 | − | 1.36782i | −0.140933 | − | 0.0434722i | ||||
\(991\) | 1.84775 | − | 24.6565i | 0.0586957 | − | 0.783240i | −0.887740 | − | 0.460346i | \(-0.847725\pi\) |
0.946435 | − | 0.322894i | \(-0.104656\pi\) | |||||||
\(992\) | −1.66215 | + | 4.23510i | −0.0527734 | + | 0.134464i | ||||
\(993\) | −9.99302 | + | 4.81239i | −0.317119 | + | 0.152716i | ||||
\(994\) | 39.6719 | − | 27.4703i | 1.25832 | − | 0.871304i | ||||
\(995\) | 3.71910 | + | 1.79103i | 0.117904 | + | 0.0567794i | ||||
\(996\) | 67.8064 | − | 62.9151i | 2.14853 | − | 1.99354i | ||||
\(997\) | −32.1156 | + | 4.84065i | −1.01711 | + | 0.153305i | −0.636376 | − | 0.771379i | \(-0.719567\pi\) |
−0.380735 | + | 0.924684i | \(0.624329\pi\) | |||||||
\(998\) | −21.4664 | + | 37.1810i | −0.679509 | + | 1.17694i | ||||
\(999\) | −20.9823 | − | 36.3425i | −0.663852 | − | 1.14983i |
(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 | 637.2.bl.a.53.26 | ✓ | 324 | |
49.37 | even | 21 | inner | 637.2.bl.a.625.26 | yes | 324 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
637.2.bl.a.53.26 | ✓ | 324 | 1.1 | even | 1 | trivial | |
637.2.bl.a.625.26 | yes | 324 | 49.37 | even | 21 | inner |