Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(4,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([14, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.z (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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 142.35 | ||
Character | \(\chi\) | \(=\) | 441.142 |
Dual form | 441.2.z.a.382.35 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{4}{21}\right)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.295967 | − | 0.754111i | 0.209280 | − | 0.533237i | −0.787235 | − | 0.616654i | \(-0.788488\pi\) |
0.996515 | + | 0.0834164i | \(0.0265831\pi\) | |||||||
\(3\) | −0.878555 | + | 1.49270i | −0.507234 | + | 0.861808i | ||||
\(4\) | 0.985016 | + | 0.913961i | 0.492508 | + | 0.456981i | ||||
\(5\) | 2.57117 | − | 1.23821i | 1.14986 | − | 0.553745i | 0.240871 | − | 0.970557i | \(-0.422567\pi\) |
0.908993 | + | 0.416812i | \(0.136853\pi\) | |||||||
\(6\) | 0.865636 | + | 1.10432i | 0.353394 | + | 0.450835i | ||||
\(7\) | 0.114478 | − | 2.64327i | 0.0432686 | − | 0.999063i | ||||
\(8\) | 2.44053 | − | 1.17530i | 0.862858 | − | 0.415531i | ||||
\(9\) | −1.45628 | − | 2.62283i | −0.485428 | − | 0.874277i | ||||
\(10\) | −0.172768 | − | 2.30542i | −0.0546339 | − | 0.729038i | ||||
\(11\) | 0.206858 | + | 0.259392i | 0.0623702 | + | 0.0782097i | 0.812038 | − | 0.583605i | \(-0.198358\pi\) |
−0.749668 | + | 0.661814i | \(0.769787\pi\) | |||||||
\(12\) | −2.22966 | + | 0.667365i | −0.643647 | + | 0.192652i | ||||
\(13\) | 0.950468 | − | 2.42175i | 0.263612 | − | 0.671673i | −0.736376 | − | 0.676573i | \(-0.763464\pi\) |
0.999988 | + | 0.00489968i | \(0.00155962\pi\) | |||||||
\(14\) | −1.95944 | − | 0.868651i | −0.523683 | − | 0.232157i | ||||
\(15\) | −0.410643 | + | 4.92582i | −0.106028 | + | 1.27184i | ||||
\(16\) | 0.0368436 | + | 0.491643i | 0.00921089 | + | 0.122911i | ||||
\(17\) | −3.33311 | + | 3.09267i | −0.808397 | + | 0.750083i | −0.971630 | − | 0.236505i | \(-0.923998\pi\) |
0.163233 | + | 0.986587i | \(0.447808\pi\) | |||||||
\(18\) | −2.40892 | + | 0.321928i | −0.567787 | + | 0.0758793i | ||||
\(19\) | 2.60922 | − | 4.51930i | 0.598597 | − | 1.03680i | −0.394432 | − | 0.918925i | \(-0.629059\pi\) |
0.993029 | − | 0.117874i | \(-0.0376080\pi\) | |||||||
\(20\) | 3.66433 | + | 1.13030i | 0.819368 | + | 0.252742i | ||||
\(21\) | 3.84503 | + | 2.49314i | 0.839054 | + | 0.544048i | ||||
\(22\) | 0.256834 | − | 0.0792228i | 0.0547572 | − | 0.0168903i | ||||
\(23\) | −0.899217 | + | 3.93973i | −0.187500 | + | 0.821490i | 0.790430 | + | 0.612553i | \(0.209857\pi\) |
−0.977929 | + | 0.208937i | \(0.933000\pi\) | |||||||
\(24\) | −0.389778 | + | 4.67553i | −0.0795631 | + | 0.954390i | ||||
\(25\) | 1.96032 | − | 2.45816i | 0.392064 | − | 0.491633i | ||||
\(26\) | −1.54496 | − | 1.43352i | −0.302992 | − | 0.281136i | ||||
\(27\) | 5.19451 | + | 0.130513i | 0.999685 | + | 0.0251172i | ||||
\(28\) | 2.52861 | − | 2.49904i | 0.477863 | − | 0.472274i | ||||
\(29\) | 1.02304 | + | 0.315568i | 0.189975 | + | 0.0585994i | 0.388283 | − | 0.921540i | \(-0.373068\pi\) |
−0.198308 | + | 0.980140i | \(0.563545\pi\) | |||||||
\(30\) | 3.59308 | + | 1.76755i | 0.656004 | + | 0.322709i | ||||
\(31\) | −3.59759 | + | 6.23120i | −0.646146 | + | 1.11916i | 0.337890 | + | 0.941186i | \(0.390287\pi\) |
−0.984036 | + | 0.177971i | \(0.943047\pi\) | |||||||
\(32\) | 5.55854 | + | 1.71458i | 0.982621 | + | 0.303098i | ||||
\(33\) | −0.568930 | + | 0.0808864i | −0.0990380 | + | 0.0140805i | ||||
\(34\) | 1.34573 | + | 3.42886i | 0.230791 | + | 0.588045i | ||||
\(35\) | −2.97859 | − | 6.93807i | −0.503474 | − | 1.17275i | ||||
\(36\) | 0.962704 | − | 3.91452i | 0.160451 | − | 0.652419i | ||||
\(37\) | 8.91857 | + | 2.75102i | 1.46620 | + | 0.452264i | 0.922165 | − | 0.386796i | \(-0.126418\pi\) |
0.544039 | + | 0.839060i | \(0.316894\pi\) | |||||||
\(38\) | −2.63582 | − | 3.30521i | −0.427586 | − | 0.536176i | ||||
\(39\) | 2.77990 | + | 3.54640i | 0.445141 | + | 0.567879i | ||||
\(40\) | 4.81976 | − | 6.04379i | 0.762072 | − | 0.955607i | ||||
\(41\) | −9.68129 | − | 6.60059i | −1.51196 | − | 1.03084i | −0.983297 | − | 0.182010i | \(-0.941740\pi\) |
−0.528667 | − | 0.848829i | \(-0.677308\pi\) | |||||||
\(42\) | 3.01811 | − | 2.16169i | 0.465704 | − | 0.333556i | ||||
\(43\) | 1.50288 | − | 1.02465i | 0.229187 | − | 0.156257i | −0.443282 | − | 0.896382i | \(-0.646186\pi\) |
0.672469 | + | 0.740125i | \(0.265234\pi\) | |||||||
\(44\) | −0.0333156 | + | 0.444566i | −0.00502252 | + | 0.0670209i | ||||
\(45\) | −6.99198 | − | 4.94057i | −1.04230 | − | 0.736496i | ||||
\(46\) | 2.70485 | + | 1.84414i | 0.398809 | + | 0.271903i | ||||
\(47\) | −4.30535 | + | 10.9698i | −0.627999 | + | 1.60012i | 0.161850 | + | 0.986815i | \(0.448254\pi\) |
−0.789850 | + | 0.613301i | \(0.789841\pi\) | |||||||
\(48\) | −0.766243 | − | 0.376939i | −0.110598 | − | 0.0544065i | ||||
\(49\) | −6.97379 | − | 0.605193i | −0.996256 | − | 0.0864562i | ||||
\(50\) | −1.27354 | − | 2.20584i | −0.180106 | − | 0.311952i | ||||
\(51\) | −1.68810 | − | 7.69239i | −0.236381 | − | 1.07715i | ||||
\(52\) | 3.14961 | − | 1.51677i | 0.436773 | − | 0.210339i | ||||
\(53\) | 2.07819 | − | 0.641036i | 0.285461 | − | 0.0880530i | −0.148718 | − | 0.988880i | \(-0.547515\pi\) |
0.434179 | + | 0.900827i | \(0.357039\pi\) | |||||||
\(54\) | 1.63583 | − | 3.87861i | 0.222608 | − | 0.527813i | ||||
\(55\) | 0.853052 | + | 0.410808i | 0.115025 | + | 0.0553934i | ||||
\(56\) | −2.82725 | − | 6.58554i | −0.377807 | − | 0.880029i | ||||
\(57\) | 4.45360 | + | 7.86523i | 0.589894 | + | 1.04178i | ||||
\(58\) | 0.540761 | − | 0.678092i | 0.0710053 | − | 0.0890379i | ||||
\(59\) | −4.52522 | + | 3.08524i | −0.589133 | + | 0.401664i | −0.820871 | − | 0.571114i | \(-0.806511\pi\) |
0.231738 | + | 0.972778i | \(0.425559\pi\) | |||||||
\(60\) | −4.90650 | + | 4.47670i | −0.633426 | + | 0.577940i | ||||
\(61\) | 8.35243 | − | 7.74992i | 1.06942 | − | 0.992276i | 0.0694334 | − | 0.997587i | \(-0.477881\pi\) |
0.999986 | + | 0.00531052i | \(0.00169040\pi\) | |||||||
\(62\) | 3.63425 | + | 4.55721i | 0.461551 | + | 0.578766i | ||||
\(63\) | −7.09957 | + | 3.54910i | −0.894462 | + | 0.447144i | ||||
\(64\) | 2.32334 | − | 2.91338i | 0.290418 | − | 0.364172i | ||||
\(65\) | −0.554825 | − | 7.40363i | −0.0688176 | − | 0.918307i | ||||
\(66\) | −0.107387 | + | 0.452976i | −0.0132184 | + | 0.0557575i | ||||
\(67\) | −7.21711 | + | 12.5004i | −0.881711 | + | 1.52717i | −0.0322725 | + | 0.999479i | \(0.510274\pi\) |
−0.849438 | + | 0.527688i | \(0.823059\pi\) | |||||||
\(68\) | −6.10974 | −0.740915 | ||||||||
\(69\) | −5.09080 | − | 4.80352i | −0.612861 | − | 0.578276i | ||||
\(70\) | −6.11364 | + | 0.192752i | −0.730720 | + | 0.0230382i | ||||
\(71\) | −0.790457 | + | 3.46322i | −0.0938099 | + | 0.411008i | −0.999928 | − | 0.0120171i | \(-0.996175\pi\) |
0.906118 | + | 0.423025i | \(0.139032\pi\) | |||||||
\(72\) | −6.63671 | − | 4.68953i | −0.782144 | − | 0.552667i | ||||
\(73\) | −10.6526 | − | 1.60562i | −1.24680 | − | 0.187924i | −0.507705 | − | 0.861531i | \(-0.669506\pi\) |
−0.739090 | + | 0.673607i | \(0.764744\pi\) | |||||||
\(74\) | 4.71417 | − | 5.91139i | 0.548012 | − | 0.687185i | ||||
\(75\) | 1.94704 | + | 5.08579i | 0.224825 | + | 0.587257i | ||||
\(76\) | 6.70060 | − | 2.06686i | 0.768611 | − | 0.237085i | ||||
\(77\) | 0.709325 | − | 0.517089i | 0.0808351 | − | 0.0589277i | ||||
\(78\) | 3.49714 | − | 1.04674i | 0.395973 | − | 0.118520i | ||||
\(79\) | 0.971604 | + | 1.68287i | 0.109314 | + | 0.189337i | 0.915493 | − | 0.402335i | \(-0.131801\pi\) |
−0.806179 | + | 0.591672i | \(0.798468\pi\) | |||||||
\(80\) | 0.703490 | + | 1.21848i | 0.0786525 | + | 0.136230i | ||||
\(81\) | −4.75848 | + | 7.63917i | −0.528720 | + | 0.848796i | ||||
\(82\) | −7.84292 | + | 5.34721i | −0.866106 | + | 0.590501i | ||||
\(83\) | −0.574034 | − | 1.46262i | −0.0630084 | − | 0.160543i | 0.895902 | − | 0.444252i | \(-0.146530\pi\) |
−0.958911 | + | 0.283709i | \(0.908435\pi\) | |||||||
\(84\) | 1.50878 | + | 5.96999i | 0.164621 | + | 0.651380i | ||||
\(85\) | −4.74061 | + | 12.0789i | −0.514192 | + | 1.31014i | ||||
\(86\) | −0.327895 | − | 1.43660i | −0.0353578 | − | 0.154913i | ||||
\(87\) | −1.36985 | + | 1.24985i | −0.146863 | + | 0.133998i | ||||
\(88\) | 0.809707 | + | 0.389935i | 0.0863151 | + | 0.0415672i | ||||
\(89\) | −2.36917 | − | 6.03655i | −0.251132 | − | 0.639873i | 0.748600 | − | 0.663021i | \(-0.230726\pi\) |
−0.999732 | + | 0.0231484i | \(0.992631\pi\) | |||||||
\(90\) | −5.79513 | + | 3.81049i | −0.610861 | + | 0.401661i | ||||
\(91\) | −6.29255 | − | 2.78958i | −0.659638 | − | 0.292428i | ||||
\(92\) | −4.48650 | + | 3.05884i | −0.467750 | + | 0.318907i | ||||
\(93\) | −6.14061 | − | 10.8446i | −0.636752 | − | 1.12453i | ||||
\(94\) | 6.99824 | + | 6.49342i | 0.721814 | + | 0.669745i | ||||
\(95\) | 1.11291 | − | 14.8507i | 0.114182 | − | 1.52365i | ||||
\(96\) | −7.44283 | + | 6.79086i | −0.759631 | + | 0.693089i | ||||
\(97\) | 3.72865 | − | 6.45821i | 0.378587 | − | 0.655732i | −0.612270 | − | 0.790649i | \(-0.709743\pi\) |
0.990857 | + | 0.134917i | \(0.0430768\pi\) | |||||||
\(98\) | −2.52039 | + | 5.07990i | −0.254598 | + | 0.513147i | ||||
\(99\) | 0.379098 | − | 0.920303i | 0.0381007 | − | 0.0924939i | ||||
\(100\) | 4.17761 | − | 0.629674i | 0.417761 | − | 0.0629674i | ||||
\(101\) | −4.90172 | + | 2.36054i | −0.487740 | + | 0.234883i | −0.661557 | − | 0.749895i | \(-0.730104\pi\) |
0.173817 | + | 0.984778i | \(0.444390\pi\) | |||||||
\(102\) | −6.30054 | − | 1.00368i | −0.623847 | − | 0.0993790i | ||||
\(103\) | 0.0891285 | − | 0.0429220i | 0.00878209 | − | 0.00422923i | −0.429488 | − | 0.903073i | \(-0.641306\pi\) |
0.438270 | + | 0.898844i | \(0.355592\pi\) | |||||||
\(104\) | −0.526634 | − | 7.02744i | −0.0516407 | − | 0.689098i | ||||
\(105\) | 12.9733 | + | 1.64934i | 1.26606 | + | 0.160959i | ||||
\(106\) | 0.131662 | − | 1.75691i | 0.0127882 | − | 0.170646i | ||||
\(107\) | 4.92441 | + | 12.5472i | 0.476061 | + | 1.21298i | 0.944213 | + | 0.329335i | \(0.106825\pi\) |
−0.468152 | + | 0.883648i | \(0.655080\pi\) | |||||||
\(108\) | 4.99740 | + | 4.87614i | 0.480875 | + | 0.469207i | ||||
\(109\) | 2.89105 | − | 7.36628i | 0.276912 | − | 0.705561i | −0.722980 | − | 0.690869i | \(-0.757228\pi\) |
0.999892 | − | 0.0146919i | \(-0.00467676\pi\) | |||||||
\(110\) | 0.562270 | − | 0.521710i | 0.0536104 | − | 0.0497431i | ||||
\(111\) | −11.9419 | + | 10.8958i | −1.13347 | + | 1.03418i | ||||
\(112\) | 1.30376 | − | 0.0411053i | 0.123194 | − | 0.00388408i | ||||
\(113\) | 0.222047 | + | 0.0334682i | 0.0208884 | + | 0.00314842i | 0.159478 | − | 0.987201i | \(-0.449019\pi\) |
−0.138590 | + | 0.990350i | \(0.544257\pi\) | |||||||
\(114\) | 7.24938 | − | 1.03067i | 0.678967 | − | 0.0965306i | ||||
\(115\) | 2.56617 | + | 11.2431i | 0.239297 | + | 1.04843i | ||||
\(116\) | 0.719299 | + | 1.24586i | 0.0667853 | + | 0.115675i | ||||
\(117\) | −7.73600 | + | 1.03384i | −0.715193 | + | 0.0955786i | ||||
\(118\) | 0.987300 | + | 4.32565i | 0.0908884 | + | 0.398208i | ||||
\(119\) | 7.79321 | + | 9.16435i | 0.714402 | + | 0.840095i | ||||
\(120\) | 4.78712 | + | 12.5042i | 0.437002 | + | 1.14148i | ||||
\(121\) | 2.42324 | − | 10.6169i | 0.220294 | − | 0.965172i | ||||
\(122\) | −3.37226 | − | 8.59238i | −0.305310 | − | 0.777918i | ||||
\(123\) | 18.3582 | − | 8.65224i | 1.65531 | − | 0.780146i | ||||
\(124\) | −9.23876 | + | 2.84978i | −0.829665 | + | 0.255918i | ||||
\(125\) | −1.17854 | + | 5.16353i | −0.105412 | + | 0.461840i | ||||
\(126\) | 0.575177 | + | 6.40428i | 0.0512408 | + | 0.570539i | ||||
\(127\) | −1.23564 | − | 5.41369i | −0.109645 | − | 0.480387i | −0.999699 | − | 0.0245316i | \(-0.992191\pi\) |
0.890054 | − | 0.455855i | \(-0.150667\pi\) | |||||||
\(128\) | 4.30759 | + | 7.46097i | 0.380741 | + | 0.659463i | ||||
\(129\) | 0.209123 | + | 3.14355i | 0.0184123 | + | 0.276774i | ||||
\(130\) | −5.74737 | − | 1.77283i | −0.504078 | − | 0.155487i | ||||
\(131\) | −11.2604 | − | 5.42274i | −0.983828 | − | 0.473787i | −0.128408 | − | 0.991721i | \(-0.540987\pi\) |
−0.855420 | + | 0.517935i | \(0.826701\pi\) | |||||||
\(132\) | −0.634333 | − | 0.440306i | −0.0552116 | − | 0.0383237i | ||||
\(133\) | −11.6471 | − | 7.41425i | −1.00993 | − | 0.642897i | ||||
\(134\) | 7.29067 | + | 9.14221i | 0.629818 | + | 0.789767i | ||||
\(135\) | 13.5176 | − | 6.09634i | 1.16341 | − | 0.524689i | ||||
\(136\) | −4.49974 | + | 11.4652i | −0.385850 | + | 0.983129i | ||||
\(137\) | −3.71860 | − | 1.79078i | −0.317701 | − | 0.152997i | 0.268236 | − | 0.963353i | \(-0.413559\pi\) |
−0.585937 | + | 0.810356i | \(0.699274\pi\) | |||||||
\(138\) | −5.12910 | + | 2.41735i | −0.436618 | + | 0.205778i | ||||
\(139\) | 2.23612 | + | 1.52456i | 0.189665 | + | 0.129312i | 0.654430 | − | 0.756123i | \(-0.272909\pi\) |
−0.464765 | + | 0.885434i | \(0.653861\pi\) | |||||||
\(140\) | 3.40716 | − | 9.55643i | 0.287958 | − | 0.807665i | ||||
\(141\) | −12.5922 | − | 16.0642i | −1.06045 | − | 1.35285i | ||||
\(142\) | 2.37770 | + | 1.62109i | 0.199532 | + | 0.136039i | ||||
\(143\) | 0.824796 | − | 0.254416i | 0.0689729 | − | 0.0212753i | ||||
\(144\) | 1.23584 | − | 0.812606i | 0.102987 | − | 0.0677171i | ||||
\(145\) | 3.02117 | − | 0.455368i | 0.250894 | − | 0.0378162i | ||||
\(146\) | −4.36364 | + | 7.55805i | −0.361138 | + | 0.625509i | ||||
\(147\) | 7.03023 | − | 9.87805i | 0.579843 | − | 0.814728i | ||||
\(148\) | 6.27062 | + | 10.8610i | 0.515442 | + | 0.892771i | ||||
\(149\) | −3.68733 | − | 4.62377i | −0.302078 | − | 0.378794i | 0.607505 | − | 0.794316i | \(-0.292170\pi\) |
−0.909583 | + | 0.415522i | \(0.863599\pi\) | |||||||
\(150\) | 4.41152 | + | 0.0369397i | 0.360199 | + | 0.00301611i | ||||
\(151\) | −0.110129 | + | 0.482509i | −0.00896221 | + | 0.0392660i | −0.979211 | − | 0.202843i | \(-0.934982\pi\) |
0.970249 | + | 0.242109i | \(0.0778391\pi\) | |||||||
\(152\) | 1.05636 | − | 14.0961i | 0.0856819 | − | 1.14335i | ||||
\(153\) | 12.9655 | + | 4.23837i | 1.04820 | + | 0.342652i | ||||
\(154\) | −0.180006 | − | 0.687951i | −0.0145053 | − | 0.0554367i | ||||
\(155\) | −1.53447 | + | 20.4761i | −0.123252 | + | 1.64468i | ||||
\(156\) | −0.503026 | + | 6.03399i | −0.0402743 | + | 0.483105i | ||||
\(157\) | 17.2717 | − | 11.7756i | 1.37843 | − | 0.939798i | 0.378531 | − | 0.925588i | \(-0.376429\pi\) |
0.999899 | − | 0.0142094i | \(-0.00452315\pi\) | |||||||
\(158\) | 1.55663 | − | 0.234624i | 0.123839 | − | 0.0186657i | ||||
\(159\) | −0.868929 | + | 3.66528i | −0.0689106 | + | 0.290676i | ||||
\(160\) | 16.4150 | − | 2.47416i | 1.29772 | − | 0.195600i | ||||
\(161\) | 10.3108 | + | 2.82789i | 0.812607 | + | 0.222869i | ||||
\(162\) | 4.35243 | + | 5.84936i | 0.341959 | + | 0.459569i | ||||
\(163\) | −0.381300 | + | 0.259966i | −0.0298657 | + | 0.0203621i | −0.578161 | − | 0.815923i | \(-0.696229\pi\) |
0.548295 | + | 0.836285i | \(0.315277\pi\) | |||||||
\(164\) | −3.50354 | − | 15.3500i | −0.273581 | − | 1.19863i | ||||
\(165\) | −1.36266 | + | 0.912430i | −0.106083 | + | 0.0710325i | ||||
\(166\) | −1.27287 | −0.0987939 | ||||||||
\(167\) | −1.23336 | + | 1.14439i | −0.0954400 | + | 0.0885554i | −0.726450 | − | 0.687219i | \(-0.758831\pi\) |
0.631010 | + | 0.775775i | \(0.282641\pi\) | |||||||
\(168\) | 12.3141 | + | 1.56554i | 0.950053 | + | 0.120784i | ||||
\(169\) | 4.56818 | + | 4.23865i | 0.351398 | + | 0.326050i | ||||
\(170\) | 7.70576 | + | 7.14990i | 0.591005 | + | 0.548373i | ||||
\(171\) | −15.6531 | − | 0.262160i | −1.19703 | − | 0.0200479i | ||||
\(172\) | 2.41685 | + | 0.364281i | 0.184283 | + | 0.0277762i | ||||
\(173\) | −23.6999 | + | 7.31046i | −1.80187 | + | 0.555804i | −0.999176 | − | 0.0405832i | \(-0.987078\pi\) |
−0.802697 | + | 0.596387i | \(0.796602\pi\) | |||||||
\(174\) | 0.537098 | + | 1.40293i | 0.0407173 | + | 0.106356i | ||||
\(175\) | −6.27319 | − | 5.46307i | −0.474208 | − | 0.412969i | ||||
\(176\) | −0.119907 | + | 0.111257i | −0.00903833 | + | 0.00838634i | ||||
\(177\) | −0.629675 | − | 9.46532i | −0.0473293 | − | 0.711457i | ||||
\(178\) | −5.25343 | −0.393761 | ||||||||
\(179\) | 13.0165 | − | 12.0776i | 0.972900 | − | 0.902719i | −0.0223817 | − | 0.999749i | \(-0.507125\pi\) |
0.995281 | + | 0.0970304i | \(0.0309344\pi\) | |||||||
\(180\) | −2.37172 | − | 11.2569i | −0.176778 | − | 0.839043i | ||||
\(181\) | −3.73164 | + | 4.67933i | −0.277371 | + | 0.347812i | −0.900930 | − | 0.433964i | \(-0.857114\pi\) |
0.623560 | + | 0.781776i | \(0.285686\pi\) | |||||||
\(182\) | −3.96604 | + | 3.91966i | −0.293983 | + | 0.290544i | ||||
\(183\) | 4.23021 | + | 19.2764i | 0.312706 | + | 1.42495i | ||||
\(184\) | 2.43578 | + | 10.6719i | 0.179568 | + | 0.786741i | ||||
\(185\) | 26.3376 | − | 3.96975i | 1.93638 | − | 0.291862i | ||||
\(186\) | −9.99542 | + | 1.42108i | −0.732900 | + | 0.104198i | ||||
\(187\) | −1.49170 | − | 0.224837i | −0.109084 | − | 0.0164417i | ||||
\(188\) | −14.2668 | + | 6.87055i | −1.04052 | + | 0.501086i | ||||
\(189\) | 0.939638 | − | 13.7156i | 0.0683486 | − | 0.997661i | ||||
\(190\) | −10.8697 | − | 5.23457i | −0.788570 | − | 0.379756i | ||||
\(191\) | 2.26584 | + | 1.54482i | 0.163950 | + | 0.111779i | 0.642516 | − | 0.766273i | \(-0.277891\pi\) |
−0.478566 | + | 0.878052i | \(0.658843\pi\) | |||||||
\(192\) | 2.30761 | + | 6.02761i | 0.166537 | + | 0.435005i | ||||
\(193\) | 1.33110 | − | 17.7623i | 0.0958146 | − | 1.27856i | −0.717428 | − | 0.696633i | \(-0.754681\pi\) |
0.813243 | − | 0.581925i | \(-0.197700\pi\) | |||||||
\(194\) | −3.76665 | − | 4.72323i | −0.270430 | − | 0.339108i | ||||
\(195\) | 11.5388 | + | 5.67631i | 0.826311 | + | 0.406489i | ||||
\(196\) | −6.31617 | − | 6.96990i | −0.451155 | − | 0.497850i | ||||
\(197\) | −16.2163 | −1.15536 | −0.577682 | − | 0.816262i | \(-0.696043\pi\) | ||||
−0.577682 | + | 0.816262i | \(0.696043\pi\) | |||||||
\(198\) | −0.581811 | − | 0.558261i | −0.0413475 | − | 0.0396739i | ||||
\(199\) | −20.8685 | − | 14.2279i | −1.47933 | − | 1.00859i | −0.990695 | − | 0.136103i | \(-0.956542\pi\) |
−0.488636 | − | 0.872488i | \(-0.662505\pi\) | |||||||
\(200\) | 1.89515 | − | 8.30319i | 0.134007 | − | 0.587124i | ||||
\(201\) | −12.3187 | − | 21.7552i | −0.868892 | − | 1.53450i | ||||
\(202\) | 0.329366 | + | 4.39509i | 0.0231741 | + | 0.309237i | ||||
\(203\) | 0.951248 | − | 2.66806i | 0.0667645 | − | 0.187261i | ||||
\(204\) | 5.36775 | − | 9.11999i | 0.375817 | − | 0.638527i | ||||
\(205\) | −33.0652 | − | 4.98378i | −2.30938 | − | 0.348082i | ||||
\(206\) | −0.00598890 | − | 0.0799163i | −0.000417267 | − | 0.00556803i | ||||
\(207\) | 11.6427 | − | 3.37886i | 0.809227 | − | 0.234847i | ||||
\(208\) | 1.22566 | + | 0.378065i | 0.0849840 | + | 0.0262141i | ||||
\(209\) | 1.71201 | − | 0.258044i | 0.118422 | − | 0.0178493i | ||||
\(210\) | 5.08345 | − | 9.29515i | 0.350791 | − | 0.641426i | ||||
\(211\) | −27.0473 | − | 4.07673i | −1.86201 | − | 0.280653i | −0.880788 | − | 0.473512i | \(-0.842986\pi\) |
−0.981227 | + | 0.192858i | \(0.938224\pi\) | |||||||
\(212\) | 2.63293 | + | 1.26795i | 0.180830 | + | 0.0870833i | ||||
\(213\) | −4.47507 | − | 4.22254i | −0.306627 | − | 0.289323i | ||||
\(214\) | 10.9194 | 0.746438 | ||||||||
\(215\) | 2.59544 | − | 4.49543i | 0.177007 | − | 0.306586i | ||||
\(216\) | 12.8308 | − | 5.78658i | 0.873023 | − | 0.393727i | ||||
\(217\) | 16.0589 | + | 10.2227i | 1.09015 | + | 0.693965i | ||||
\(218\) | −4.69934 | − | 4.36035i | −0.318279 | − | 0.295320i | ||||
\(219\) | 11.7556 | − | 14.4905i | 0.794372 | − | 0.979177i | ||||
\(220\) | 0.464807 | + | 1.18431i | 0.0313373 | + | 0.0798461i | ||||
\(221\) | 4.32167 | + | 11.0114i | 0.290707 | + | 0.740710i | ||||
\(222\) | 4.68224 | + | 12.2303i | 0.314252 | + | 0.820845i | ||||
\(223\) | 2.02324 | + | 1.87729i | 0.135486 | + | 0.125713i | 0.745005 | − | 0.667059i | \(-0.232447\pi\) |
−0.609519 | + | 0.792771i | \(0.708637\pi\) | |||||||
\(224\) | 5.16844 | − | 14.4965i | 0.345331 | − | 0.968586i | ||||
\(225\) | −9.30213 | − | 1.56181i | −0.620142 | − | 0.104120i | ||||
\(226\) | 0.0909573 | − | 0.157543i | 0.00605039 | − | 0.0104796i | ||||
\(227\) | 5.91728 | 0.392744 | 0.196372 | − | 0.980530i | \(-0.437084\pi\) | ||||
0.196372 | + | 0.980530i | \(0.437084\pi\) | |||||||
\(228\) | −2.80165 | + | 11.8178i | −0.185544 | + | 0.782653i | ||||
\(229\) | 13.1284 | + | 6.32233i | 0.867552 | + | 0.417791i | 0.814062 | − | 0.580777i | \(-0.197251\pi\) |
0.0534896 | + | 0.998568i | \(0.482966\pi\) | |||||||
\(230\) | 9.23809 | + | 1.39242i | 0.609141 | + | 0.0918133i | ||||
\(231\) | 0.148675 | + | 1.51310i | 0.00978209 | + | 0.0995545i | ||||
\(232\) | 2.86766 | − | 0.432230i | 0.188271 | − | 0.0283773i | ||||
\(233\) | 16.1668 | + | 4.98678i | 1.05912 | + | 0.326695i | 0.774913 | − | 0.632068i | \(-0.217794\pi\) |
0.284206 | + | 0.958763i | \(0.408270\pi\) | |||||||
\(234\) | −1.50997 | + | 6.13978i | −0.0987097 | + | 0.401370i | ||||
\(235\) | 2.51320 | + | 33.5363i | 0.163943 | + | 2.18767i | ||||
\(236\) | −7.27720 | − | 1.09686i | −0.473705 | − | 0.0713996i | ||||
\(237\) | −3.36562 | − | 0.0281819i | −0.218620 | − | 0.00183061i | ||||
\(238\) | 9.21747 | − | 3.16460i | 0.597480 | − | 0.205131i | ||||
\(239\) | −0.634486 | − | 8.46663i | −0.0410415 | − | 0.547661i | −0.979391 | − | 0.201973i | \(-0.935265\pi\) |
0.938350 | − | 0.345688i | \(-0.112354\pi\) | |||||||
\(240\) | −2.43687 | − | 0.0204051i | −0.157300 | − | 0.00131714i | ||||
\(241\) | −2.13197 | + | 9.34076i | −0.137332 | + | 0.601691i | 0.858683 | + | 0.512507i | \(0.171283\pi\) |
−0.996015 | + | 0.0891842i | \(0.971574\pi\) | |||||||
\(242\) | −7.28912 | − | 4.96964i | −0.468562 | − | 0.319460i | ||||
\(243\) | −7.22237 | − | 13.8144i | −0.463315 | − | 0.886194i | ||||
\(244\) | 15.3104 | 0.980149 | ||||||||
\(245\) | −18.6802 | + | 7.07898i | −1.19343 | + | 0.452259i | ||||
\(246\) | −1.09133 | − | 16.4049i | −0.0695805 | − | 1.04594i | ||||
\(247\) | −8.46465 | − | 10.6143i | −0.538593 | − | 0.675374i | ||||
\(248\) | −1.45650 | + | 19.4357i | −0.0924880 | + | 1.23417i | ||||
\(249\) | 2.68756 | + | 0.428129i | 0.170317 | + | 0.0271316i | ||||
\(250\) | 3.54507 | + | 2.41699i | 0.224210 | + | 0.152864i | ||||
\(251\) | 16.7094 | + | 8.04684i | 1.05469 | + | 0.507912i | 0.879143 | − | 0.476559i | \(-0.158116\pi\) |
0.175548 | + | 0.984471i | \(0.443830\pi\) | |||||||
\(252\) | −10.2369 | − | 2.99282i | −0.644866 | − | 0.188530i | ||||
\(253\) | −1.20794 | + | 0.581716i | −0.0759428 | + | 0.0365721i | ||||
\(254\) | −4.44823 | − | 0.670463i | −0.279107 | − | 0.0420686i | ||||
\(255\) | −13.8652 | − | 17.6883i | −0.868274 | − | 1.10768i | ||||
\(256\) | 14.2708 | − | 2.15097i | 0.891923 | − | 0.134436i | ||||
\(257\) | 3.58339 | + | 15.6999i | 0.223526 | + | 0.979330i | 0.954801 | + | 0.297247i | \(0.0960686\pi\) |
−0.731275 | + | 0.682083i | \(0.761074\pi\) | |||||||
\(258\) | 2.43248 | + | 0.772685i | 0.151440 | + | 0.0481053i | ||||
\(259\) | 8.29267 | − | 23.2593i | 0.515281 | − | 1.44526i | ||||
\(260\) | 6.22012 | − | 7.79978i | 0.385755 | − | 0.483722i | ||||
\(261\) | −0.662163 | − | 3.14283i | −0.0409868 | − | 0.194536i | ||||
\(262\) | −7.42206 | + | 6.88667i | −0.458537 | + | 0.425460i | ||||
\(263\) | −3.25711 | −0.200842 | −0.100421 | − | 0.994945i | \(-0.532019\pi\) | ||||
−0.100421 | + | 0.994945i | \(0.532019\pi\) | |||||||
\(264\) | −1.29343 | + | 0.866068i | −0.0796049 | + | 0.0533028i | ||||
\(265\) | 4.54964 | − | 4.22145i | 0.279482 | − | 0.259322i | ||||
\(266\) | −9.03831 | + | 6.58881i | −0.554175 | + | 0.403986i | ||||
\(267\) | 11.0922 | + | 1.76699i | 0.678830 | + | 0.108138i | ||||
\(268\) | −18.5339 | + | 5.71694i | −1.13214 | + | 0.349218i | ||||
\(269\) | 29.8147 | + | 4.49384i | 1.81783 | + | 0.273995i | 0.967615 | − | 0.252432i | \(-0.0812306\pi\) |
0.850220 | + | 0.526427i | \(0.176469\pi\) | |||||||
\(270\) | −0.596556 | − | 11.9981i | −0.0363053 | − | 0.730181i | ||||
\(271\) | 8.59006 | + | 7.97041i | 0.521809 | + | 0.484168i | 0.896538 | − | 0.442966i | \(-0.146074\pi\) |
−0.374729 | + | 0.927134i | \(0.622264\pi\) | |||||||
\(272\) | −1.64329 | − | 1.52475i | −0.0996393 | − | 0.0924518i | ||||
\(273\) | 9.69235 | − | 6.94206i | 0.586607 | − | 0.420152i | ||||
\(274\) | −2.45103 | + | 2.27423i | −0.148072 | + | 0.137391i | ||||
\(275\) | 1.04314 | 0.0629036 | ||||||||
\(276\) | −0.624288 | − | 9.38434i | −0.0375777 | − | 0.564871i | ||||
\(277\) | 6.61488 | + | 28.9817i | 0.397449 | + | 1.74134i | 0.637380 | + | 0.770550i | \(0.280018\pi\) |
−0.239930 | + | 0.970790i | \(0.577125\pi\) | |||||||
\(278\) | 1.81151 | − | 1.23507i | 0.108647 | − | 0.0740743i | ||||
\(279\) | 21.5825 | + | 0.361466i | 1.29211 | + | 0.0216404i | ||||
\(280\) | −15.4236 | − | 13.4318i | −0.921739 | − | 0.802706i | ||||
\(281\) | 23.7515 | − | 3.57997i | 1.41690 | − | 0.213563i | 0.604472 | − | 0.796627i | \(-0.293384\pi\) |
0.812426 | + | 0.583064i | \(0.198146\pi\) | |||||||
\(282\) | −15.8410 | + | 4.74142i | −0.943320 | + | 0.282348i | ||||
\(283\) | 5.43445 | − | 0.819111i | 0.323044 | − | 0.0486911i | 0.0144817 | − | 0.999895i | \(-0.495390\pi\) |
0.308563 | + | 0.951204i | \(0.400152\pi\) | |||||||
\(284\) | −3.94386 | + | 2.68888i | −0.234025 | + | 0.159556i | ||||
\(285\) | 21.1898 | + | 14.7084i | 1.25518 | + | 0.871249i | ||||
\(286\) | 0.0522544 | − | 0.697287i | 0.00308987 | − | 0.0412314i | ||||
\(287\) | −18.5555 | + | 24.8347i | −1.09529 | + | 1.46594i | ||||
\(288\) | −3.59775 | − | 17.0760i | −0.211999 | − | 1.00621i | ||||
\(289\) | 0.274574 | − | 3.66393i | 0.0161514 | − | 0.215525i | ||||
\(290\) | 0.550768 | − | 2.41307i | 0.0323422 | − | 0.141700i | ||||
\(291\) | 6.36432 | + | 11.2396i | 0.373083 | + | 0.658879i | ||||
\(292\) | −9.02553 | − | 11.3177i | −0.528179 | − | 0.662316i | ||||
\(293\) | 0.936574 | + | 1.62219i | 0.0547152 | + | 0.0947696i | 0.892086 | − | 0.451866i | \(-0.149242\pi\) |
−0.837370 | + | 0.546636i | \(0.815908\pi\) | |||||||
\(294\) | −5.36844 | − | 8.22515i | −0.313094 | − | 0.479701i | ||||
\(295\) | −7.81494 | + | 13.5359i | −0.455003 | + | 0.788089i | ||||
\(296\) | 24.9993 | − | 3.76804i | 1.45306 | − | 0.219013i | ||||
\(297\) | 1.04067 | + | 1.37441i | 0.0603861 | + | 0.0797516i | ||||
\(298\) | −4.57816 | + | 1.41218i | −0.265206 | + | 0.0818052i | ||||
\(299\) | 8.68636 | + | 5.92226i | 0.502345 | + | 0.342493i | ||||
\(300\) | −2.73035 | + | 6.78911i | −0.157637 | + | 0.391970i | ||||
\(301\) | −2.53637 | − | 4.08982i | −0.146194 | − | 0.235734i | ||||
\(302\) | 0.331271 | + | 0.225856i | 0.0190625 | + | 0.0129966i | ||||
\(303\) | 0.782855 | − | 9.39065i | 0.0449739 | − | 0.539479i | ||||
\(304\) | 2.31802 | + | 1.11630i | 0.132947 | + | 0.0640241i | ||||
\(305\) | 11.8795 | − | 30.2685i | 0.680219 | − | 1.73317i | ||||
\(306\) | 7.03356 | − | 8.52301i | 0.402082 | − | 0.487228i | ||||
\(307\) | −5.27970 | − | 6.62054i | −0.301329 | − | 0.377854i | 0.607997 | − | 0.793939i | \(-0.291973\pi\) |
−0.909326 | + | 0.416085i | \(0.863402\pi\) | |||||||
\(308\) | 1.17130 | + | 0.138955i | 0.0667408 | + | 0.00791772i | ||||
\(309\) | −0.0142347 | + | 0.170751i | −0.000809786 | + | 0.00971369i | ||||
\(310\) | 14.9871 | + | 7.21741i | 0.851210 | + | 0.409921i | ||||
\(311\) | 20.3362 | + | 6.27290i | 1.15316 | + | 0.355703i | 0.811633 | − | 0.584168i | \(-0.198579\pi\) |
0.341529 | + | 0.939871i | \(0.389055\pi\) | |||||||
\(312\) | 10.9525 | + | 5.38789i | 0.620064 | + | 0.305029i | ||||
\(313\) | 8.20602 | + | 14.2132i | 0.463831 | + | 0.803380i | 0.999148 | − | 0.0412720i | \(-0.0131410\pi\) |
−0.535317 | + | 0.844652i | \(0.679808\pi\) | |||||||
\(314\) | −3.76829 | − | 16.5100i | −0.212657 | − | 0.931712i | ||||
\(315\) | −13.8597 | + | 17.9161i | −0.780906 | + | 1.00946i | ||||
\(316\) | −0.581030 | + | 2.54566i | −0.0326855 | + | 0.143205i | ||||
\(317\) | −10.4581 | + | 3.22591i | −0.587387 | + | 0.181185i | −0.574182 | − | 0.818728i | \(-0.694680\pi\) |
−0.0132055 | + | 0.999913i | \(0.504204\pi\) | |||||||
\(318\) | 2.50686 | + | 1.74007i | 0.140578 | + | 0.0975784i | ||||
\(319\) | 0.129770 | + | 0.330648i | 0.00726571 | + | 0.0185127i | ||||
\(320\) | 2.36634 | − | 10.3676i | 0.132282 | − | 0.579566i | ||||
\(321\) | −23.0555 | − | 3.67275i | −1.28683 | − | 0.204993i | ||||
\(322\) | 5.18421 | − | 6.93855i | 0.288905 | − | 0.386671i | ||||
\(323\) | 5.27991 | + | 23.1328i | 0.293782 | + | 1.28714i | ||||
\(324\) | −11.6691 | + | 3.17564i | −0.648282 | + | 0.176424i | ||||
\(325\) | −4.08984 | − | 7.08382i | −0.226864 | − | 0.392939i | ||||
\(326\) | 0.0831912 | + | 0.364484i | 0.00460753 | + | 0.0201869i | ||||
\(327\) | 8.45566 | + | 10.7871i | 0.467599 | + | 0.596530i | ||||
\(328\) | −31.3852 | − | 4.73055i | −1.73296 | − | 0.261201i | ||||
\(329\) | 28.5034 | + | 12.6360i | 1.57144 | + | 0.696646i | ||||
\(330\) | 0.284770 | + | 1.29765i | 0.0156761 | + | 0.0714333i | ||||
\(331\) | −6.74790 | + | 6.26114i | −0.370898 | + | 0.344143i | −0.843496 | − | 0.537135i | \(-0.819507\pi\) |
0.472598 | + | 0.881278i | \(0.343316\pi\) | |||||||
\(332\) | 0.771341 | − | 1.96534i | 0.0423328 | − | 0.107862i | ||||
\(333\) | −5.77252 | − | 27.3982i | −0.316332 | − | 1.50141i | ||||
\(334\) | 0.497963 | + | 1.26879i | 0.0272473 | + | 0.0694251i | ||||
\(335\) | −3.07830 | + | 41.0770i | −0.168185 | + | 2.24428i | ||||
\(336\) | −1.08407 | + | 1.98224i | −0.0591409 | + | 0.108140i | ||||
\(337\) | 0.707175 | + | 9.43659i | 0.0385223 | + | 0.514044i | 0.982773 | + | 0.184817i | \(0.0591691\pi\) |
−0.944251 | + | 0.329227i | \(0.893212\pi\) | |||||||
\(338\) | 4.54845 | − | 2.19042i | 0.247403 | − | 0.119143i | ||||
\(339\) | −0.245038 | + | 0.302045i | −0.0133086 | + | 0.0164048i | ||||
\(340\) | −15.7092 | + | 7.56516i | −0.851952 | + | 0.410279i | ||||
\(341\) | −2.36052 | + | 0.355791i | −0.127829 | + | 0.0192671i | ||||
\(342\) | −4.83051 | + | 11.7266i | −0.261204 | + | 0.634103i | ||||
\(343\) | −2.39804 | + | 18.3644i | −0.129482 | + | 0.991582i | ||||
\(344\) | 2.46356 | − | 4.26701i | 0.132826 | − | 0.230062i | ||||
\(345\) | −19.0371 | − | 6.04720i | −1.02492 | − | 0.325570i | ||||
\(346\) | −1.50149 | + | 20.0360i | −0.0807208 | + | 1.07714i | ||||
\(347\) | −0.123454 | − | 0.114549i | −0.00662735 | − | 0.00614929i | 0.676852 | − | 0.736119i | \(-0.263344\pi\) |
−0.683479 | + | 0.729970i | \(0.739534\pi\) | |||||||
\(348\) | −2.49164 | − | 0.0208636i | −0.133566 | − | 0.00111841i | ||||
\(349\) | 20.5156 | − | 13.9873i | 1.09818 | − | 0.748724i | 0.128158 | − | 0.991754i | \(-0.459094\pi\) |
0.970019 | + | 0.243030i | \(0.0781413\pi\) | |||||||
\(350\) | −5.97642 | + | 3.11379i | −0.319453 | + | 0.166439i | ||||
\(351\) | 5.25329 | − | 12.4558i | 0.280400 | − | 0.664840i | ||||
\(352\) | 0.705081 | + | 1.79652i | 0.0375810 | + | 0.0957547i | ||||
\(353\) | 0.577558 | + | 0.278137i | 0.0307403 | + | 0.0148037i | 0.449191 | − | 0.893436i | \(-0.351712\pi\) |
−0.418450 | + | 0.908240i | \(0.637427\pi\) | |||||||
\(354\) | −7.32427 | − | 2.32658i | −0.389281 | − | 0.123656i | ||||
\(355\) | 2.25580 | + | 9.88329i | 0.119725 | + | 0.524551i | ||||
\(356\) | 3.18350 | − | 8.11143i | 0.168725 | − | 0.429905i | ||||
\(357\) | −20.5264 | + | 3.58150i | −1.08637 | + | 0.189553i | ||||
\(358\) | −5.25537 | − | 13.3905i | −0.277755 | − | 0.707708i | ||||
\(359\) | −13.4883 | + | 9.19615i | −0.711884 | + | 0.485354i | −0.864309 | − | 0.502961i | \(-0.832244\pi\) |
0.152425 | + | 0.988315i | \(0.451292\pi\) | |||||||
\(360\) | −22.8708 | − | 3.83995i | −1.20540 | − | 0.202383i | ||||
\(361\) | −4.11608 | − | 7.12925i | −0.216636 | − | 0.375224i | ||||
\(362\) | 2.42429 | + | 4.19900i | 0.127418 | + | 0.220694i | ||||
\(363\) | 13.7188 | + | 12.9447i | 0.720053 | + | 0.679419i | ||||
\(364\) | −3.64869 | − | 8.49893i | −0.191243 | − | 0.445465i | ||||
\(365\) | −29.3779 | + | 9.06187i | −1.53771 | + | 0.474320i | ||||
\(366\) | 15.7885 | + | 2.51512i | 0.825280 | + | 0.131467i | ||||
\(367\) | 8.31882 | − | 10.4315i | 0.434239 | − | 0.544518i | −0.515776 | − | 0.856724i | \(-0.672496\pi\) |
0.950015 | + | 0.312205i | \(0.101068\pi\) | |||||||
\(368\) | −1.97007 | − | 0.296940i | −0.102697 | − | 0.0154791i | ||||
\(369\) | −3.21354 | + | 35.0047i | −0.167290 | + | 1.82227i | ||||
\(370\) | 4.80141 | − | 21.0364i | 0.249614 | − | 1.09363i | ||||
\(371\) | −1.45653 | − | 5.56660i | −0.0756190 | − | 0.289003i | ||||
\(372\) | 3.86290 | − | 16.2943i | 0.200282 | − | 0.844823i | ||||
\(373\) | −5.91962 | −0.306506 | −0.153253 | − | 0.988187i | \(-0.548975\pi\) | ||||
−0.153253 | + | 0.988187i | \(0.548975\pi\) | |||||||
\(374\) | −0.611045 | + | 1.05836i | −0.0315964 | + | 0.0547265i | ||||
\(375\) | −6.67216 | − | 6.29565i | −0.344549 | − | 0.325106i | ||||
\(376\) | 2.38550 | + | 31.8323i | 0.123023 | + | 1.64163i | ||||
\(377\) | 1.73660 | − | 2.17762i | 0.0894393 | − | 0.112153i | ||||
\(378\) | −10.0650 | − | 4.76795i | −0.517686 | − | 0.245237i | ||||
\(379\) | −17.2037 | − | 21.5727i | −0.883693 | − | 1.10812i | −0.993463 | − | 0.114159i | \(-0.963583\pi\) |
0.109770 | − | 0.993957i | \(-0.464989\pi\) | |||||||
\(380\) | 14.6692 | − | 13.6110i | 0.752514 | − | 0.698231i | ||||
\(381\) | 9.16656 | + | 2.91179i | 0.469617 | + | 0.149175i | ||||
\(382\) | 1.83558 | − | 1.25148i | 0.0939164 | − | 0.0640311i | ||||
\(383\) | 22.4616 | − | 28.1660i | 1.14773 | − | 1.43921i | 0.268211 | − | 0.963360i | \(-0.413568\pi\) |
0.879524 | − | 0.475854i | \(-0.157861\pi\) | |||||||
\(384\) | −14.9214 | − | 0.124944i | −0.761455 | − | 0.00637602i | ||||
\(385\) | 1.18353 | − | 2.20782i | 0.0603185 | − | 0.112521i | ||||
\(386\) | −13.0008 | − | 6.26085i | −0.661722 | − | 0.318669i | ||||
\(387\) | −4.87609 | − | 2.44963i | −0.247866 | − | 0.124521i | ||||
\(388\) | 9.57533 | − | 2.95360i | 0.486114 | − | 0.149946i | ||||
\(389\) | 3.61206 | − | 1.73948i | 0.183139 | − | 0.0881951i | −0.340068 | − | 0.940401i | \(-0.610450\pi\) |
0.523206 | + | 0.852206i | \(0.324736\pi\) | |||||||
\(390\) | 7.69567 | − | 7.02155i | 0.389686 | − | 0.355550i | ||||
\(391\) | −9.18709 | − | 15.9125i | −0.464611 | − | 0.804730i | ||||
\(392\) | −17.7310 | + | 6.71929i | −0.895552 | + | 0.339375i | ||||
\(393\) | 17.9874 | − | 12.0442i | 0.907345 | − | 0.607551i | ||||
\(394\) | −4.79949 | + | 12.2289i | −0.241795 | + | 0.616083i | ||||
\(395\) | 4.58191 | + | 3.12389i | 0.230541 | + | 0.157180i | ||||
\(396\) | 1.21454 | − | 0.560033i | 0.0610329 | − | 0.0281427i | ||||
\(397\) | −0.301826 | + | 4.02759i | −0.0151482 | + | 0.202139i | 0.984495 | + | 0.175415i | \(0.0561267\pi\) |
−0.999643 | + | 0.0267243i | \(0.991492\pi\) | |||||||
\(398\) | −16.9058 | + | 11.5262i | −0.847413 | + | 0.577756i | ||||
\(399\) | 21.2998 | − | 10.8717i | 1.06632 | − | 0.544266i | ||||
\(400\) | 1.28076 | + | 0.873210i | 0.0640382 | + | 0.0436605i | ||||
\(401\) | 10.0035 | − | 12.5439i | 0.499549 | − | 0.626414i | −0.466579 | − | 0.884480i | \(-0.654514\pi\) |
0.966127 | + | 0.258065i | \(0.0830850\pi\) | |||||||
\(402\) | −20.0518 | + | 2.85082i | −1.00009 | + | 0.142186i | ||||
\(403\) | 11.6710 | + | 14.6350i | 0.581376 | + | 0.729022i | ||||
\(404\) | −6.98572 | − | 2.15481i | −0.347553 | − | 0.107206i | ||||
\(405\) | −2.77597 | + | 25.5336i | −0.137939 | + | 1.26878i | ||||
\(406\) | −1.73048 | − | 1.50700i | −0.0858822 | − | 0.0747914i | ||||
\(407\) | 1.13129 | + | 2.88248i | 0.0560760 | + | 0.142879i | ||||
\(408\) | −13.1607 | − | 16.7895i | −0.651553 | − | 0.831204i | ||||
\(409\) | −36.7696 | − | 11.3419i | −1.81814 | − | 0.560822i | −0.818240 | − | 0.574877i | \(-0.805050\pi\) |
−0.999901 | + | 0.0140548i | \(0.995526\pi\) | |||||||
\(410\) | −13.5445 | + | 23.4598i | −0.668917 | + | 1.15860i | ||||
\(411\) | 5.94009 | − | 3.97744i | 0.293003 | − | 0.196193i | ||||
\(412\) | 0.127022 | + | 0.0391811i | 0.00625793 | + | 0.00193032i | ||||
\(413\) | 7.63709 | + | 12.3146i | 0.375797 | + | 0.605961i | ||||
\(414\) | 0.897829 | − | 9.77996i | 0.0441259 | − | 0.480659i | ||||
\(415\) | −3.28697 | − | 3.04986i | −0.161351 | − | 0.149712i | ||||
\(416\) | 9.43551 | − | 11.8318i | 0.462614 | − | 0.580099i | ||||
\(417\) | −4.24026 | + | 1.99844i | −0.207647 | + | 0.0978640i | ||||
\(418\) | 0.312105 | − | 1.36742i | 0.0152655 | − | 0.0668827i | ||||
\(419\) | −11.2750 | + | 3.47788i | −0.550821 | + | 0.169906i | −0.557658 | − | 0.830071i | \(-0.688300\pi\) |
0.00683720 | + | 0.999977i | \(0.497824\pi\) | |||||||
\(420\) | 11.2715 | + | 13.4817i | 0.549991 | + | 0.657840i | ||||
\(421\) | −22.7657 | − | 7.02230i | −1.10953 | − | 0.342246i | −0.314772 | − | 0.949167i | \(-0.601928\pi\) |
−0.794762 | + | 0.606921i | \(0.792404\pi\) | |||||||
\(422\) | −11.0794 | + | 19.1901i | −0.539338 | + | 0.934160i | ||||
\(423\) | 35.0418 | − | 4.68300i | 1.70379 | − | 0.227695i | ||||
\(424\) | 4.31847 | − | 4.00695i | 0.209723 | − | 0.194595i | ||||
\(425\) | 1.06834 | + | 14.2559i | 0.0518219 | + | 0.691515i | ||||
\(426\) | −4.50874 | + | 2.12497i | −0.218449 | + | 0.102955i | ||||
\(427\) | −19.5290 | − | 22.9650i | −0.945074 | − | 1.11135i | ||||
\(428\) | −6.61703 | + | 16.8599i | −0.319846 | + | 0.814954i | ||||
\(429\) | −0.344863 | + | 1.45469i | −0.0166501 | + | 0.0702330i | ||||
\(430\) | −2.62189 | − | 3.28775i | −0.126439 | − | 0.158549i | ||||
\(431\) | −0.863076 | − | 11.5170i | −0.0415729 | − | 0.554752i | −0.978637 | − | 0.205595i | \(-0.934087\pi\) |
0.937064 | − | 0.349157i | \(-0.113532\pi\) | |||||||
\(432\) | 0.127219 | + | 2.55865i | 0.00612081 | + | 0.123103i | ||||
\(433\) | −12.0316 | + | 5.79413i | −0.578203 | + | 0.278448i | −0.700042 | − | 0.714102i | \(-0.746835\pi\) |
0.121838 | + | 0.992550i | \(0.461121\pi\) | |||||||
\(434\) | 12.4620 | − | 9.08463i | 0.598195 | − | 0.436076i | ||||
\(435\) | −1.97454 | + | 4.90975i | −0.0946717 | + | 0.235404i | ||||
\(436\) | 9.58022 | − | 4.61359i | 0.458809 | − | 0.220951i | ||||
\(437\) | 15.4586 | + | 14.3435i | 0.739483 | + | 0.686140i | ||||
\(438\) | −7.44818 | − | 13.1538i | −0.355888 | − | 0.628511i | ||||
\(439\) | 8.96938 | − | 22.8536i | 0.428085 | − | 1.09074i | −0.540342 | − | 0.841445i | \(-0.681705\pi\) |
0.968427 | − | 0.249297i | \(-0.0801996\pi\) | |||||||
\(440\) | 2.56472 | 0.122268 | ||||||||
\(441\) | 8.56849 | + | 19.1724i | 0.408023 | + | 0.912971i | ||||
\(442\) | 9.58292 | 0.455813 | ||||||||
\(443\) | −8.44365 | + | 21.5141i | −0.401170 | + | 1.02216i | 0.577439 | + | 0.816434i | \(0.304052\pi\) |
−0.978609 | + | 0.205730i | \(0.934043\pi\) | |||||||
\(444\) | −21.7213 | − | 0.181882i | −1.03085 | − | 0.00863176i | ||||
\(445\) | −13.5661 | − | 12.5875i | −0.643094 | − | 0.596704i | ||||
\(446\) | 2.01450 | − | 0.970132i | 0.0953893 | − | 0.0459371i | ||||
\(447\) | 10.1414 | − | 1.44183i | 0.479672 | − | 0.0681963i | ||||
\(448\) | −7.43489 | − | 6.47475i | −0.351265 | − | 0.305903i | ||||
\(449\) | −3.45008 | + | 1.66147i | −0.162819 | + | 0.0784097i | −0.513519 | − | 0.858078i | \(-0.671658\pi\) |
0.350699 | + | 0.936488i | \(0.385944\pi\) | |||||||
\(450\) | −3.93090 | + | 6.55260i | −0.185304 | + | 0.308892i | ||||
\(451\) | −0.290514 | − | 3.87664i | −0.0136798 | − | 0.182544i | ||||
\(452\) | 0.188131 | + | 0.235909i | 0.00884894 | + | 0.0110962i | ||||
\(453\) | −0.623484 | − | 0.588300i | −0.0292938 | − | 0.0276407i | ||||
\(454\) | 1.75132 | − | 4.46229i | 0.0821935 | − | 0.209426i | ||||
\(455\) | −19.6333 | + | 0.619002i | −0.920425 | + | 0.0290193i | ||||
\(456\) | 20.1131 | + | 13.9610i | 0.941884 | + | 0.653785i | ||||
\(457\) | 2.07396 | + | 27.6750i | 0.0970155 | + | 1.29458i | 0.807078 | + | 0.590444i | \(0.201047\pi\) |
−0.710063 | + | 0.704138i | \(0.751334\pi\) | |||||||
\(458\) | 8.65332 | − | 8.02911i | 0.404343 | − | 0.375176i | ||||
\(459\) | −17.7175 | + | 15.6299i | −0.826982 | + | 0.729541i | ||||
\(460\) | −7.74808 | + | 13.4201i | −0.361256 | + | 0.625714i | ||||
\(461\) | −14.1837 | − | 4.37510i | −0.660602 | − | 0.203769i | −0.0537141 | − | 0.998556i | \(-0.517106\pi\) |
−0.606887 | + | 0.794788i | \(0.707582\pi\) | |||||||
\(462\) | 1.18505 | + | 0.335709i | 0.0551334 | + | 0.0156186i | ||||
\(463\) | −1.87919 | + | 0.579653i | −0.0873334 | + | 0.0269388i | −0.338114 | − | 0.941105i | \(-0.609789\pi\) |
0.250781 | + | 0.968044i | \(0.419313\pi\) | |||||||
\(464\) | −0.117454 | + | 0.514600i | −0.00545266 | + | 0.0238897i | ||||
\(465\) | −29.2165 | − | 20.2799i | −1.35488 | − | 0.940456i | ||||
\(466\) | 8.54541 | − | 10.7156i | 0.395859 | − | 0.496391i | ||||
\(467\) | −14.7144 | − | 13.6530i | −0.680903 | − | 0.631786i | 0.261916 | − | 0.965091i | \(-0.415646\pi\) |
−0.942819 | + | 0.333305i | \(0.891836\pi\) | |||||||
\(468\) | −8.56497 | − | 6.05205i | −0.395916 | − | 0.279756i | ||||
\(469\) | 32.2158 | + | 20.5078i | 1.48759 | + | 0.946963i | ||||
\(470\) | 26.0339 | + | 8.03041i | 1.20086 | + | 0.370415i | ||||
\(471\) | 2.40332 | + | 36.1269i | 0.110739 | + | 1.66464i | ||||
\(472\) | −7.41785 | + | 12.8481i | −0.341434 | + | 0.591382i | ||||
\(473\) | 0.576669 | + | 0.177879i | 0.0265153 | + | 0.00817888i | ||||
\(474\) | −1.01736 | + | 2.52971i | −0.0467290 | + | 0.116193i | ||||
\(475\) | −5.99428 | − | 15.2732i | −0.275037 | − | 0.700782i | ||||
\(476\) | −0.699432 | + | 16.1497i | −0.0320584 | + | 0.740222i | ||||
\(477\) | −4.70775 | − | 4.51720i | −0.215553 | − | 0.206828i | ||||
\(478\) | −6.57257 | − | 2.02737i | −0.300622 | − | 0.0927297i | ||||
\(479\) | −7.42143 | − | 9.30618i | −0.339094 | − | 0.425210i | 0.582822 | − | 0.812600i | \(-0.301948\pi\) |
−0.921916 | + | 0.387389i | \(0.873377\pi\) | |||||||
\(480\) | −10.7283 | + | 26.6763i | −0.489678 | + | 1.21760i | ||||
\(481\) | 15.1391 | − | 18.9838i | 0.690283 | − | 0.865588i | ||||
\(482\) | 6.41298 | + | 4.37230i | 0.292103 | + | 0.199153i | ||||
\(483\) | −13.2798 | + | 12.9065i | −0.604252 | + | 0.587265i | ||||
\(484\) | 12.0904 | − | 8.24307i | 0.549562 | − | 0.374685i | ||||
\(485\) | 1.59037 | − | 21.2220i | 0.0722151 | − | 0.963643i | ||||
\(486\) | −12.5552 | + | 1.35787i | −0.569514 | + | 0.0615941i | ||||
\(487\) | −4.77140 | − | 3.25308i | −0.216213 | − | 0.147411i | 0.450371 | − | 0.892842i | \(-0.351292\pi\) |
−0.666584 | + | 0.745430i | \(0.732244\pi\) | |||||||
\(488\) | 11.2759 | − | 28.7305i | 0.510436 | − | 1.30057i | ||||
\(489\) | −0.0530572 | − | 0.797560i | −0.00239933 | − | 0.0360669i | ||||
\(490\) | −0.190382 | + | 16.1821i | −0.00860059 | + | 0.731032i | ||||
\(491\) | −12.7890 | − | 22.1512i | −0.577159 | − | 0.999668i | −0.995803 | − | 0.0915180i | \(-0.970828\pi\) |
0.418645 | − | 0.908150i | \(-0.362505\pi\) | |||||||
\(492\) | 25.9910 | + | 8.25611i | 1.17176 | + | 0.372214i | ||||
\(493\) | −4.38586 | + | 2.11212i | −0.197529 | + | 0.0951251i | ||||
\(494\) | −10.5097 | + | 3.24180i | −0.472852 | + | 0.145855i | ||||
\(495\) | −0.164805 | − | 2.83566i | −0.00740742 | − | 0.127454i | ||||
\(496\) | −3.19608 | − | 1.53915i | −0.143508 | − | 0.0691098i | ||||
\(497\) | 9.06374 | + | 2.48586i | 0.406564 | + | 0.111506i | ||||
\(498\) | 1.11829 | − | 1.90001i | 0.0501116 | − | 0.0851414i | ||||
\(499\) | −1.21433 | + | 1.52273i | −0.0543611 | + | 0.0681666i | −0.808269 | − | 0.588814i | \(-0.799595\pi\) |
0.753908 | + | 0.656980i | \(0.228167\pi\) | |||||||
\(500\) | −5.88015 | + | 4.00902i | −0.262968 | + | 0.179289i | ||||
\(501\) | −0.624652 | − | 2.84644i | −0.0279074 | − | 0.127169i | ||||
\(502\) | 11.0137 | − | 10.2192i | 0.491564 | − | 0.456104i | ||||
\(503\) | 0.773725 | + | 0.970221i | 0.0344987 | + | 0.0432600i | 0.798782 | − | 0.601621i | \(-0.205478\pi\) |
−0.764283 | + | 0.644881i | \(0.776907\pi\) | |||||||
\(504\) | −13.1555 | + | 17.0058i | −0.585992 | + | 0.757498i | ||||
\(505\) | −9.68033 | + | 12.1387i | −0.430769 | + | 0.540167i | ||||
\(506\) | 0.0811666 | + | 1.08309i | 0.00360830 | + | 0.0481494i | ||||
\(507\) | −10.3404 | + | 3.09502i | −0.459234 | + | 0.137455i | ||||
\(508\) | 3.73078 | − | 6.46189i | 0.165526 | − | 0.286700i | ||||
\(509\) | −31.0255 | −1.37518 | −0.687590 | − | 0.726099i | \(-0.741331\pi\) | ||||
−0.687590 | + | 0.726099i | \(0.741331\pi\) | |||||||
\(510\) | −17.4426 | + | 5.22078i | −0.772370 | + | 0.231180i | ||||
\(511\) | −5.46360 | + | 27.9740i | −0.241695 | + | 1.23750i | ||||
\(512\) | −1.23252 | + | 5.40000i | −0.0544700 | + | 0.238649i | ||||
\(513\) | 14.1435 | − | 23.1351i | 0.624449 | − | 1.02144i | ||||
\(514\) | 12.9000 | + | 1.94436i | 0.568995 | + | 0.0857622i | ||||
\(515\) | 0.176018 | − | 0.220720i | 0.00775630 | − | 0.00972609i | ||||
\(516\) | −2.66710 | + | 3.28758i | −0.117412 | + | 0.144728i | ||||
\(517\) | −3.73609 | + | 1.15243i | −0.164313 | + | 0.0506838i | ||||
\(518\) | −15.0857 | − | 13.1376i | −0.662830 | − | 0.577232i | ||||
\(519\) | 9.90940 | − | 41.7994i | 0.434974 | − | 1.83479i | ||||
\(520\) | −10.0555 | − | 17.4167i | −0.440964 | − | 0.763773i | ||||
\(521\) | 1.21549 | + | 2.10530i | 0.0532517 | + | 0.0922347i | 0.891422 | − | 0.453173i | \(-0.149708\pi\) |
−0.838171 | + | 0.545408i | \(0.816375\pi\) | |||||||
\(522\) | −2.56602 | − | 0.430829i | −0.112312 | − | 0.0188569i | ||||
\(523\) | 34.0713 | − | 23.2294i | 1.48983 | − | 1.01575i | 0.501212 | − | 0.865325i | \(-0.332888\pi\) |
0.988621 | − | 0.150426i | \(-0.0480647\pi\) | |||||||
\(524\) | −6.13553 | − | 15.6331i | −0.268032 | − | 0.682935i | ||||
\(525\) | 13.6660 | − | 4.56436i | 0.596435 | − | 0.199205i | ||||
\(526\) | −0.963998 | + | 2.45623i | −0.0420323 | + | 0.107097i | ||||
\(527\) | −7.27992 | − | 31.8954i | −0.317118 | − | 1.38939i | ||||
\(528\) | −0.0607287 | − | 0.276730i | −0.00264288 | − | 0.0120431i | ||||
\(529\) | 6.00944 | + | 2.89399i | 0.261280 | + | 0.125826i | ||||
\(530\) | −1.83690 | − | 4.68035i | −0.0797899 | − | 0.203301i | ||||
\(531\) | 14.6821 | + | 7.37589i | 0.637147 | + | 0.320086i | ||||
\(532\) | −4.69621 | − | 17.9481i | −0.203606 | − | 0.778150i | ||||
\(533\) | −25.1868 | + | 17.1720i | −1.09096 | + | 0.743803i | ||||
\(534\) | 4.61542 | − | 7.84177i | 0.199729 | − | 0.339347i | ||||
\(535\) | 28.1976 | + | 26.1636i | 1.21909 | + | 1.13115i | ||||
\(536\) | −2.92189 | + | 38.9899i | −0.126206 | + | 1.68411i | ||||
\(537\) | 6.59240 | + | 30.0405i | 0.284483 | + | 1.29634i | ||||
\(538\) | 12.2130 | − | 21.1536i | 0.526541 | − | 0.911996i | ||||
\(539\) | −1.28560 | − | 1.93414i | −0.0553749 | − | 0.0833091i | ||||
\(540\) | 18.8869 | + | 6.34957i | 0.812762 | + | 0.273242i | ||||
\(541\) | −4.30563 | + | 0.648969i | −0.185113 | + | 0.0279014i | −0.240945 | − | 0.970539i | \(-0.577457\pi\) |
0.0558312 | + | 0.998440i | \(0.482219\pi\) | |||||||
\(542\) | 8.55295 | − | 4.11888i | 0.367381 | − | 0.176921i | ||||
\(543\) | −3.70636 | − | 9.68125i | −0.159055 | − | 0.415462i | ||||
\(544\) | −23.8298 | + | 11.4758i | −1.02170 | + | 0.492023i | ||||
\(545\) | −1.68762 | − | 22.5197i | −0.0722897 | − | 0.964639i | ||||
\(546\) | −2.36647 | − | 9.36373i | −0.101276 | − | 0.400731i | ||||
\(547\) | 0.557010 | − | 7.43278i | 0.0238160 | − | 0.317803i | −0.972554 | − | 0.232677i | \(-0.925252\pi\) |
0.996370 | − | 0.0851261i | \(-0.0271293\pi\) | |||||||
\(548\) | −2.02617 | − | 5.16261i | −0.0865539 | − | 0.220536i | ||||
\(549\) | −32.4902 | − | 10.6209i | −1.38665 | − | 0.453290i | ||||
\(550\) | 0.308734 | − | 0.786642i | 0.0131645 | − | 0.0335425i | ||||
\(551\) | 4.09550 | − | 3.80007i | 0.174474 | − | 0.161888i | ||||
\(552\) | −18.0698 | − | 5.73994i | −0.769103 | − | 0.244308i | ||||
\(553\) | 4.55950 | − | 2.37556i | 0.193890 | − | 0.101019i | ||||
\(554\) | 23.8132 | + | 3.58926i | 1.01173 | + | 0.152493i | ||||
\(555\) | −17.2134 | + | 42.8016i | −0.730666 | + | 1.81683i | ||||
\(556\) | 0.809225 | + | 3.54545i | 0.0343188 | + | 0.150360i | ||||
\(557\) | −15.8573 | − | 27.4656i | −0.671895 | − | 1.16376i | −0.977366 | − | 0.211555i | \(-0.932147\pi\) |
0.305471 | − | 0.952201i | \(-0.401186\pi\) | |||||||
\(558\) | 6.66029 | − | 16.1686i | 0.281953 | − | 0.684472i | ||||
\(559\) | −1.05300 | − | 4.61350i | −0.0445372 | − | 0.195130i | ||||
\(560\) | 3.30131 | − | 1.72003i | 0.139506 | − | 0.0726844i | ||||
\(561\) | 1.64615 | − | 2.02912i | 0.0695005 | − | 0.0856694i | ||||
\(562\) | 4.32997 | − | 18.9709i | 0.182649 | − | 0.800237i | ||||
\(563\) | −5.39558 | − | 13.7477i | −0.227397 | − | 0.579397i | 0.770949 | − | 0.636897i | \(-0.219782\pi\) |
−0.998346 | + | 0.0575000i | \(0.981687\pi\) | |||||||
\(564\) | 2.27856 | − | 27.3322i | 0.0959448 | − | 1.15089i | ||||
\(565\) | 0.612362 | − | 0.188889i | 0.0257623 | − | 0.00794661i | ||||
\(566\) | 0.990716 | − | 4.34061i | 0.0416429 | − | 0.182449i | ||||
\(567\) | 19.6477 | + | 13.4525i | 0.825124 | + | 0.564951i | ||||
\(568\) | 2.14118 | + | 9.38111i | 0.0898418 | + | 0.393623i | ||||
\(569\) | −10.4037 | − | 18.0197i | −0.436144 | − | 0.755423i | 0.561245 | − | 0.827650i | \(-0.310323\pi\) |
−0.997388 | + | 0.0722270i | \(0.976989\pi\) | |||||||
\(570\) | 17.3632 | − | 11.6263i | 0.727266 | − | 0.486972i | ||||
\(571\) | 42.5565 | + | 13.1270i | 1.78094 | + | 0.549346i | 0.997404 | − | 0.0720058i | \(-0.0229400\pi\) |
0.783532 | + | 0.621352i | \(0.213416\pi\) | |||||||
\(572\) | 1.04496 | + | 0.503228i | 0.0436921 | + | 0.0210410i | ||||
\(573\) | −4.29661 | + | 2.02499i | −0.179493 | + | 0.0845953i | ||||
\(574\) | 13.2363 | + | 21.3431i | 0.552473 | + | 0.890845i | ||||
\(575\) | 7.92174 | + | 9.93355i | 0.330359 | + | 0.414258i | ||||
\(576\) | −11.0247 | − | 1.85103i | −0.459364 | − | 0.0771262i | ||||
\(577\) | −11.2696 | + | 28.7144i | −0.469159 | + | 1.19540i | 0.479061 | + | 0.877782i | \(0.340977\pi\) |
−0.948220 | + | 0.317615i | \(0.897118\pi\) | |||||||
\(578\) | −2.68175 | − | 1.29146i | −0.111546 | − | 0.0537177i | ||||
\(579\) | 25.3443 | + | 17.5921i | 1.05327 | + | 0.731102i | ||||
\(580\) | 3.39209 | + | 2.31269i | 0.140849 | + | 0.0960290i | ||||
\(581\) | −3.93181 | + | 1.34989i | −0.163119 | + | 0.0560030i | ||||
\(582\) | 10.3596 | − | 1.47285i | 0.429418 | − | 0.0610515i | ||||
\(583\) | 0.596170 | + | 0.406462i | 0.0246908 | + | 0.0168339i | ||||
\(584\) | −27.8852 | + | 8.60143i | −1.15390 | + | 0.355930i | ||||
\(585\) | −18.6105 | + | 12.2370i | −0.769449 | + | 0.505937i | ||||
\(586\) | 1.50051 | − | 0.226165i | 0.0619855 | − | 0.00934281i | ||||
\(587\) | 6.98444 | − | 12.0974i | 0.288279 | − | 0.499314i | −0.685120 | − | 0.728430i | \(-0.740250\pi\) |
0.973399 | + | 0.229117i | \(0.0735837\pi\) | |||||||
\(588\) | 15.9530 | − | 3.30469i | 0.657893 | − | 0.136283i | ||||
\(589\) | 18.7738 | + | 32.5172i | 0.773561 | + | 1.33985i | ||||
\(590\) | 7.89459 | + | 9.89950i | 0.325015 | + | 0.407556i | ||||
\(591\) | 14.2469 | − | 24.2060i | 0.586039 | − | 0.995702i | ||||
\(592\) | −1.02393 | + | 4.48611i | −0.0420831 | + | 0.184378i | ||||
\(593\) | 0.394067 | − | 5.25845i | 0.0161824 | − | 0.215939i | −0.983250 | − | 0.182260i | \(-0.941659\pi\) |
0.999433 | − | 0.0336786i | \(-0.0107223\pi\) | |||||||
\(594\) | 1.34447 | − | 0.378004i | 0.0551641 | − | 0.0155097i | ||||
\(595\) | 31.3851 | + | 13.9135i | 1.28666 | + | 0.570398i | ||||
\(596\) | 0.593864 | − | 7.92457i | 0.0243256 | − | 0.324603i | ||||
\(597\) | 39.5721 | − | 18.6504i | 1.61958 | − | 0.763309i | ||||
\(598\) | 7.03692 | − | 4.79769i | 0.287761 | − | 0.196192i | ||||
\(599\) | 17.0565 | − | 2.57085i | 0.696909 | − | 0.105042i | 0.208973 | − | 0.977921i | \(-0.432988\pi\) |
0.487936 | + | 0.872879i | \(0.337750\pi\) | |||||||
\(600\) | 10.7291 | + | 10.1237i | 0.438015 | + | 0.413298i | ||||
\(601\) | −42.9111 | + | 6.46781i | −1.75038 | + | 0.263828i | −0.944562 | − | 0.328333i | \(-0.893513\pi\) |
−0.805820 | + | 0.592161i | \(0.798275\pi\) | |||||||
\(602\) | −3.83487 | + | 0.702256i | −0.156297 | + | 0.0286218i | ||||
\(603\) | 43.2966 | + | 0.725136i | 1.76317 | + | 0.0295298i | ||||
\(604\) | −0.549474 | + | 0.374625i | −0.0223578 | + | 0.0152433i | ||||
\(605\) | −6.91540 | − | 30.2984i | −0.281151 | − | 1.23180i | ||||
\(606\) | −6.84990 | − | 3.36968i | −0.278258 | − | 0.136884i | ||||
\(607\) | −11.3648 | −0.461284 | −0.230642 | − | 0.973039i | \(-0.574083\pi\) | ||||
−0.230642 | + | 0.973039i | \(0.574083\pi\) | |||||||
\(608\) | 22.2522 | − | 20.6470i | 0.902445 | − | 0.837347i | ||||
\(609\) | 3.14688 | + | 3.76396i | 0.127518 | + | 0.152523i | ||||
\(610\) | −19.3099 | − | 17.9169i | −0.781834 | − | 0.725436i | ||||
\(611\) | 22.4741 | + | 20.8530i | 0.909207 | + | 0.843620i | ||||
\(612\) | 8.89752 | + | 16.0248i | 0.359661 | + | 0.647765i | ||||
\(613\) | 8.22298 | + | 1.23942i | 0.332123 | + | 0.0500595i | 0.312987 | − | 0.949757i | \(-0.398670\pi\) |
0.0191361 | + | 0.999817i | \(0.493908\pi\) | |||||||
\(614\) | −6.55524 | + | 2.02202i | −0.264548 | + | 0.0816023i | ||||
\(615\) | 36.4889 | − | 44.9778i | 1.47137 | − | 1.81368i | ||||
\(616\) | 1.12340 | − | 2.09564i | 0.0452630 | − | 0.0844357i | ||||
\(617\) | −2.42232 | + | 2.24759i | −0.0975190 | + | 0.0904844i | −0.727426 | − | 0.686186i | \(-0.759284\pi\) |
0.629907 | + | 0.776671i | \(0.283093\pi\) | |||||||
\(618\) | 0.124552 | + | 0.0612713i | 0.00501023 | + | 0.00246469i | ||||
\(619\) | 28.4430 | 1.14322 | 0.571611 | − | 0.820525i | \(-0.306319\pi\) | ||||
0.571611 | + | 0.820525i | \(0.306319\pi\) | |||||||
\(620\) | −20.2258 | + | 18.7668i | −0.812289 | + | 0.753694i | ||||
\(621\) | −5.18518 | + | 20.3476i | −0.208074 | + | 0.816521i | ||||
\(622\) | 10.7493 | − | 13.4792i | 0.431008 | − | 0.540467i | ||||
\(623\) | −16.2275 | + | 5.57132i | −0.650140 | + | 0.223210i | ||||
\(624\) | −1.64114 | + | 1.49738i | −0.0656983 | + | 0.0599432i | ||||
\(625\) | 6.86146 | + | 30.0620i | 0.274458 | + | 1.20248i | ||||
\(626\) | 13.1471 | − | 1.98160i | 0.525463 | − | 0.0792008i | ||||
\(627\) | −1.11891 | + | 2.78222i | −0.0446851 | + | 0.111111i | ||||
\(628\) | 27.7754 | + | 4.18646i | 1.10836 | + | 0.167058i | ||||
\(629\) | −38.2345 | + | 18.4128i | −1.52451 | + | 0.734166i | ||||
\(630\) | 9.40874 | + | 15.7543i | 0.374853 | + | 0.627668i | ||||
\(631\) | 4.29936 | + | 2.07046i | 0.171155 | + | 0.0824238i | 0.517500 | − | 0.855684i | \(-0.326863\pi\) |
−0.346345 | + | 0.938107i | \(0.612577\pi\) | |||||||
\(632\) | 4.34910 | + | 2.96516i | 0.172998 | + | 0.117948i | ||||
\(633\) | 29.8479 | − | 36.7918i | 1.18635 | − | 1.46234i | ||||
\(634\) | −0.662568 | + | 8.84136i | −0.0263139 | + | 0.351135i | ||||
\(635\) | −9.88034 | − | 12.3895i | −0.392089 | − | 0.491664i | ||||
\(636\) | −4.20584 | + | 2.81620i | −0.166772 | + | 0.111669i | ||||
\(637\) | −8.09399 | + | 16.3136i | −0.320696 | + | 0.646367i | ||||
\(638\) | 0.287753 | 0.0113922 | ||||||||
\(639\) | 10.2346 | − | 2.97019i | 0.404873 | − | 0.117499i | ||||
\(640\) | 20.3138 | + | 13.8497i | 0.802975 | + | 0.547459i | ||||
\(641\) | 9.76300 | − | 42.7745i | 0.385615 | − | 1.68949i | −0.293905 | − | 0.955835i | \(-0.594955\pi\) |
0.679520 | − | 0.733657i | \(-0.262188\pi\) | |||||||
\(642\) | −9.59333 | + | 16.2994i | −0.378618 | + | 0.643286i | ||||
\(643\) | 1.12292 | + | 14.9844i | 0.0442837 | + | 0.590925i | 0.974569 | + | 0.224088i | \(0.0719403\pi\) |
−0.930285 | + | 0.366837i | \(0.880441\pi\) | |||||||
\(644\) | 7.57176 | + | 12.2092i | 0.298369 | + | 0.481111i | ||||
\(645\) | 4.43008 | + | 7.82368i | 0.174434 | + | 0.308057i | ||||
\(646\) | 19.0074 | + | 2.86490i | 0.747835 | + | 0.112718i | ||||
\(647\) | 2.46792 | + | 32.9321i | 0.0970239 | + | 1.29469i | 0.807035 | + | 0.590503i | \(0.201071\pi\) |
−0.710011 | + | 0.704190i | \(0.751310\pi\) | |||||||
\(648\) | −2.63492 | + | 24.2363i | −0.103510 | + | 0.952090i | ||||
\(649\) | −1.73637 | − | 0.535598i | −0.0681583 | − | 0.0210241i | ||||
\(650\) | −6.55244 | + | 0.987622i | −0.257008 | + | 0.0387377i | ||||
\(651\) | −29.3681 | + | 14.9899i | −1.15103 | + | 0.587499i | ||||
\(652\) | −0.613186 | − | 0.0924229i | −0.0240142 | − | 0.00361956i | ||||
\(653\) | −5.49000 | − | 2.64385i | −0.214840 | − | 0.103462i | 0.323369 | − | 0.946273i | \(-0.395185\pi\) |
−0.538209 | + | 0.842811i | \(0.680899\pi\) | |||||||
\(654\) | 10.6373 | − | 3.18388i | 0.415951 | − | 0.124499i | ||||
\(655\) | −35.6670 | −1.39363 | ||||||||
\(656\) | 2.88844 | − | 5.00293i | 0.112775 | − | 0.195332i | ||||
\(657\) | 11.3020 | + | 30.2783i | 0.440931 | + | 1.18127i | ||||
\(658\) | 17.9650 | − | 17.7549i | 0.700350 | − | 0.692159i | ||||
\(659\) | 9.03258 | + | 8.38101i | 0.351859 | + | 0.326478i | 0.836224 | − | 0.548389i | \(-0.184759\pi\) |
−0.484364 | + | 0.874866i | \(0.660949\pi\) | |||||||
\(660\) | −2.17617 | − | 0.346665i | −0.0847074 | − | 0.0134939i | ||||
\(661\) | −14.0663 | − | 35.8404i | −0.547117 | − | 1.39403i | −0.890563 | − | 0.454859i | \(-0.849690\pi\) |
0.343446 | − | 0.939172i | \(-0.388406\pi\) | |||||||
\(662\) | 2.72444 | + | 6.94176i | 0.105888 | + | 0.269799i | ||||
\(663\) | −20.2336 | − | 3.22321i | −0.785806 | − | 0.125179i | ||||
\(664\) | −3.11996 | − | 2.89490i | −0.121078 | − | 0.112344i | ||||
\(665\) | −39.1270 | − | 4.64179i | −1.51728 | − | 0.180001i | ||||
\(666\) | −22.3697 | − | 3.75583i | −0.866810 | − | 0.145535i | ||||
\(667\) | −2.16319 | + | 3.74675i | −0.0837590 | + | 0.145075i | ||||
\(668\) | −2.26080 | −0.0874731 | ||||||||
\(669\) | −4.57975 | + | 1.37078i | −0.177064 | + | 0.0529973i | ||||
\(670\) | 30.0656 | + | 14.4788i | 1.16154 | + | 0.559366i | ||||
\(671\) | 3.73804 | + | 0.563419i | 0.144305 | + | 0.0217505i | ||||
\(672\) | 17.0981 | + | 20.4508i | 0.659572 | + | 0.788909i | ||||
\(673\) | 23.8646 | − | 3.59701i | 0.919913 | − | 0.138655i | 0.328020 | − | 0.944671i | \(-0.393619\pi\) |
0.591893 | + | 0.806016i | \(0.298381\pi\) | |||||||
\(674\) | 7.32554 | + | 2.25963i | 0.282169 | + | 0.0870377i | ||||
\(675\) | 10.5037 | − | 12.5131i | 0.404289 | − | 0.481630i | ||||
\(676\) | 0.625767 | + | 8.35028i | 0.0240680 | + | 0.321165i | ||||
\(677\) | 36.3323 | + | 5.47622i | 1.39637 | + | 0.210468i | 0.803726 | − | 0.595000i | \(-0.202848\pi\) |
0.592639 | + | 0.805468i | \(0.298086\pi\) | |||||||
\(678\) | 0.155252 | + | 0.274181i | 0.00596243 | + | 0.0105299i | ||||
\(679\) | −16.6440 | − | 10.5952i | −0.638737 | − | 0.406605i | ||||
\(680\) | 2.62667 | + | 35.0505i | 0.100728 | + | 1.34413i | ||||
\(681\) | −5.19865 | + | 8.83270i | −0.199213 | + | 0.338470i | ||||
\(682\) | −0.430329 | + | 1.88539i | −0.0164781 | + | 0.0721955i | ||||
\(683\) | −27.0703 | − | 18.4562i | −1.03582 | − | 0.706208i | −0.0789922 | − | 0.996875i | \(-0.525170\pi\) |
−0.956824 | + | 0.290668i | \(0.906123\pi\) | |||||||
\(684\) | −15.1790 | − | 14.5646i | −0.580383 | − | 0.556891i | ||||
\(685\) | −11.7785 | −0.450035 | ||||||||
\(686\) | 13.1390 | + | 7.24363i | 0.501650 | + | 0.276563i | ||||
\(687\) | −20.9714 | + | 14.0423i | −0.800108 | + | 0.535746i | ||||
\(688\) | 0.559132 | + | 0.701129i | 0.0213167 | + | 0.0267303i | ||||
\(689\) | 0.422820 | − | 5.64213i | 0.0161081 | − | 0.214948i | ||||
\(690\) | −10.1946 | + | 12.5663i | −0.388103 | + | 0.478392i | ||||
\(691\) | −4.89249 | − | 3.33564i | −0.186119 | − | 0.126894i | 0.466676 | − | 0.884428i | \(-0.345451\pi\) |
−0.652795 | + | 0.757534i | \(0.726404\pi\) | |||||||
\(692\) | −30.0263 | − | 14.4599i | −1.14143 | − | 0.549683i | ||||
\(693\) | −2.38921 | − | 1.10741i | −0.0907587 | − | 0.0420671i | ||||
\(694\) | −0.122921 | + | 0.0591954i | −0.00466600 | + | 0.00224703i | ||||
\(695\) | 7.63719 | + | 1.15112i | 0.289695 | + | 0.0436645i | ||||
\(696\) | −1.87421 | + | 4.66028i | −0.0710416 | + | 0.176647i | ||||
\(697\) | 52.6822 | − | 7.94057i | 1.99548 | − | 0.300770i | ||||
\(698\) | −4.47605 | − | 19.6109i | −0.169421 | − | 0.742282i | ||||
\(699\) | −21.6471 | + | 19.7509i | −0.818770 | + | 0.747047i | ||||
\(700\) | −1.18616 | − | 11.1147i | −0.0448325 | − | 0.420095i | ||||
\(701\) | 32.0190 | − | 40.1505i | 1.20934 | − | 1.51646i | 0.414029 | − | 0.910264i | \(-0.364121\pi\) |
0.795312 | − | 0.606201i | \(-0.207307\pi\) | |||||||
\(702\) | −7.83824 | − | 7.64806i | −0.295835 | − | 0.288657i | ||||
\(703\) | 35.7032 | − | 33.1277i | 1.34657 | − | 1.24944i | ||||
\(704\) | 1.23631 | 0.0465952 | ||||||||
\(705\) | −52.2675 | − | 25.7120i | −1.96851 | − | 0.968372i | ||||
\(706\) | 0.380684 | − | 0.353223i | 0.0143272 | − | 0.0132937i | ||||
\(707\) | 5.67843 | + | 13.2268i | 0.213559 | + | 0.497446i | ||||
\(708\) | 8.03070 | − | 9.89899i | 0.301812 | − | 0.372027i | ||||
\(709\) | −27.4584 | + | 8.46981i | −1.03122 | + | 0.318090i | −0.763775 | − | 0.645482i | \(-0.776657\pi\) |
−0.267448 | + | 0.963572i | \(0.586180\pi\) | |||||||
\(710\) | 8.12074 | + | 1.22400i | 0.304766 | + | 0.0459361i | ||||
\(711\) | 2.99894 | − | 4.99908i | 0.112469 | − | 0.187480i | ||||
\(712\) | −12.8768 | − | 11.9479i | −0.482578 | − | 0.447767i | ||||
\(713\) | −21.3142 | − | 19.7767i | −0.798224 | − | 0.740643i | ||||
\(714\) | −3.37427 | + | 16.5392i | −0.126279 | + | 0.618963i | ||||
\(715\) | 1.80567 | − | 1.67542i | 0.0675284 | − | 0.0626572i | ||||
\(716\) | 23.8599 | 0.891686 | ||||||||
\(717\) | 13.1955 | + | 6.49130i | 0.492796 | + | 0.242422i | ||||
\(718\) | 2.94284 | + | 12.8934i | 0.109826 | + | 0.481178i | ||||
\(719\) | 38.6646 | − | 26.3611i | 1.44195 | − | 0.983103i | 0.445825 | − | 0.895120i | \(-0.352910\pi\) |
0.996122 | − | 0.0879824i | \(-0.0280419\pi\) | |||||||
\(720\) | 2.17139 | − | 3.61959i | 0.0809228 | − | 0.134894i | ||||
\(721\) | −0.103251 | − | 0.240505i | −0.00384528 | − | 0.00895686i | ||||
\(722\) | −6.59447 | + | 0.993957i | −0.245421 | + | 0.0369912i | ||||
\(723\) | −12.0699 | − | 11.3887i | −0.448883 | − | 0.423552i | ||||
\(724\) | −7.95245 | + | 1.19864i | −0.295550 | + | 0.0445471i | ||||
\(725\) | 2.78121 | − | 1.89620i | 0.103292 | − | 0.0704231i | ||||
\(726\) | 13.8221 | − | 6.51434i | 0.512984 | − | 0.241770i | ||||
\(727\) | 1.79864 | − | 24.0012i | 0.0667080 | − | 0.890156i | −0.859014 | − | 0.511952i | \(-0.828923\pi\) |
0.925722 | − | 0.378204i | \(-0.123458\pi\) | |||||||
\(728\) | −18.6357 | + | 0.587550i | −0.690687 | + | 0.0217761i | ||||
\(729\) | 26.9659 | + | 1.35590i | 0.998738 | + | 0.0502185i | ||||
\(730\) | −1.86122 | + | 24.8362i | −0.0688867 | + | 0.919229i | ||||
\(731\) | −1.84037 | + | 8.06317i | −0.0680684 | + | 0.298227i | ||||
\(732\) | −13.4510 | + | 22.8538i | −0.497165 | + | 0.844700i | ||||
\(733\) | 15.1152 | + | 18.9538i | 0.558291 | + | 0.700075i | 0.978241 | − | 0.207473i | \(-0.0665238\pi\) |
−0.419950 | + | 0.907547i | \(0.637952\pi\) | |||||||
\(734\) | −5.40440 | − | 9.36069i | −0.199480 | − | 0.345509i | ||||
\(735\) | 5.84481 | − | 34.1031i | 0.215589 | − | 1.25791i | ||||
\(736\) | −11.7533 | + | 20.3573i | −0.433233 | + | 0.750382i | ||||
\(737\) | −4.73543 | + | 0.713751i | −0.174432 | + | 0.0262914i | ||||
\(738\) | 25.4464 | + | 12.7836i | 0.936693 | + | 0.470571i | ||||
\(739\) | 4.37802 | − | 1.35044i | 0.161048 | − | 0.0496768i | −0.213183 | − | 0.977012i | \(-0.568383\pi\) |
0.374231 | + | 0.927336i | \(0.377907\pi\) | |||||||
\(740\) | 29.5711 | + | 20.1612i | 1.08706 | + | 0.741142i | ||||
\(741\) | 23.2806 | − | 3.30988i | 0.855236 | − | 0.121591i | ||||
\(742\) | −4.62892 | − | 0.549147i | −0.169933 | − | 0.0201598i | ||||
\(743\) | −24.0000 | − | 16.3629i | −0.880473 | − | 0.600296i | 0.0364611 | − | 0.999335i | \(-0.488392\pi\) |
−0.916934 | + | 0.399039i | \(0.869344\pi\) | |||||||
\(744\) | −27.7319 | − | 19.2494i | −1.01670 | − | 0.705718i | ||||
\(745\) | −15.2060 | − | 7.32281i | −0.557104 | − | 0.268287i | ||||
\(746\) | −1.75201 | + | 4.46406i | −0.0641457 | + | 0.163441i | ||||
\(747\) | −3.00024 | + | 3.63558i | −0.109773 | + | 0.133019i | ||||
\(748\) | −1.26385 | − | 1.58482i | −0.0462110 | − | 0.0579468i | ||||
\(749\) | 33.7294 | − | 11.5802i | 1.23245 | − | 0.423131i | ||||
\(750\) | −6.72236 | + | 3.16825i | −0.245466 | + | 0.115688i | ||||
\(751\) | −5.09358 | − | 2.45294i | −0.185867 | − | 0.0895090i | 0.338636 | − | 0.940918i | \(-0.390035\pi\) |
−0.524503 | + | 0.851409i | \(0.675749\pi\) | |||||||
\(752\) | −5.55187 | − | 1.71253i | −0.202456 | − | 0.0624494i | ||||
\(753\) | −26.6917 | + | 17.8725i | −0.972698 | + | 0.651311i | ||||
\(754\) | −1.12820 | − | 1.95409i | −0.0410865 | − | 0.0711639i | ||||
\(755\) | 0.314286 | + | 1.37698i | 0.0114380 | + | 0.0501133i | ||||
\(756\) | 13.4611 | − | 12.6513i | 0.489574 | − | 0.460122i | ||||
\(757\) | 4.09934 | − | 17.9604i | 0.148993 | − | 0.652782i | −0.844173 | − | 0.536071i | \(-0.819908\pi\) |
0.993166 | − | 0.116711i | \(-0.0372350\pi\) | |||||||
\(758\) | −21.3599 | + | 6.58867i | −0.775828 | + | 0.239311i | ||||
\(759\) | 0.192921 | − | 2.31416i | 0.00700260 | − | 0.0839988i | ||||
\(760\) | −14.7379 | − | 37.5516i | −0.534600 | − | 1.36214i | ||||
\(761\) | −10.3112 | + | 45.1763i | −0.373781 | + | 1.63764i | 0.342278 | + | 0.939599i | \(0.388802\pi\) |
−0.716058 | + | 0.698041i | \(0.754055\pi\) | |||||||
\(762\) | 4.90881 | − | 6.05082i | 0.177827 | − | 0.219198i | ||||
\(763\) | −19.1401 | − | 8.48511i | −0.692919 | − | 0.307182i | ||||
\(764\) | 0.819978 | + | 3.59256i | 0.0296658 | + | 0.129974i | ||||
\(765\) | 38.5846 | − | 5.15645i | 1.39503 | − | 0.186432i | ||||
\(766\) | −14.5924 | − | 25.2748i | −0.527244 | − | 0.913214i | ||||
\(767\) | 3.17061 | + | 13.8914i | 0.114484 | + | 0.501588i | ||||
\(768\) | −9.32691 | + | 23.1917i | −0.336556 | + | 0.836857i | ||||
\(769\) | 29.2589 | + | 4.41007i | 1.05510 | + | 0.159031i | 0.653611 | − | 0.756831i | \(-0.273253\pi\) |
0.401493 | + | 0.915862i | \(0.368492\pi\) | |||||||
\(770\) | −1.31466 | − | 1.54596i | −0.0473769 | − | 0.0557125i | ||||
\(771\) | −26.5833 | − | 8.44427i | −0.957375 | − | 0.304113i | ||||
\(772\) | 17.5452 | − | 16.2796i | 0.631466 | − | 0.585915i | ||||
\(773\) | 13.7600 | − | 35.0599i | 0.494912 | − | 1.26102i | −0.437369 | − | 0.899282i | \(-0.644090\pi\) |
0.932282 | − | 0.361734i | \(-0.117815\pi\) | |||||||
\(774\) | −3.29045 | + | 2.95211i | −0.118273 | + | 0.106111i | ||||
\(775\) | 8.26490 | + | 21.0586i | 0.296884 | + | 0.756448i | ||||
\(776\) | 1.50956 | − | 20.1437i | 0.0541902 | − | 0.723118i | ||||
\(777\) | 27.4335 | + | 32.8130i | 0.984171 | + | 1.17716i | ||||
\(778\) | −0.242709 | − | 3.23873i | −0.00870154 | − | 0.116114i | ||||
\(779\) | −55.0907 | + | 26.5303i | −1.97383 | + | 0.950546i | ||||
\(780\) | 6.17799 | + | 16.1373i | 0.221208 | + | 0.577807i | ||||
\(781\) | −1.06184 | + | 0.511357i | −0.0379958 | + | 0.0182978i | ||||
\(782\) | −14.7189 | + | 2.21851i | −0.526346 | + | 0.0793339i | ||||
\(783\) | 5.27303 | + | 1.77274i | 0.188443 | + | 0.0633526i | ||||
\(784\) | 0.0406000 | − | 3.45091i | 0.00145000 | − | 0.123247i | ||||
\(785\) | 29.8278 | − | 51.6632i | 1.06460 | − | 1.84394i | ||||
\(786\) | −3.75901 | − | 17.1292i | −0.134080 | − | 0.610978i | ||||
\(787\) | −2.61474 | + | 34.8913i | −0.0932055 | + | 1.24374i | 0.732944 | + | 0.680289i | \(0.238146\pi\) |
−0.826149 | + | 0.563452i | \(0.809473\pi\) | |||||||
\(788\) | −15.9733 | − | 14.8211i | −0.569026 | − | 0.527979i | ||||
\(789\) | 2.86155 | − | 4.86188i | 0.101874 | − | 0.173088i | ||||
\(790\) | 3.71186 | − | 2.53070i | 0.132062 | − | 0.0900383i | ||||
\(791\) | 0.113885 | − | 0.583099i | 0.00404929 | − | 0.0207326i | ||||
\(792\) | −0.156431 | − | 2.69158i | −0.00555853 | − | 0.0956412i | ||||
\(793\) | −10.8297 | − | 27.5936i | −0.384573 | − | 0.979876i | ||||
\(794\) | 2.94792 | + | 1.41964i | 0.104618 | + | 0.0503813i | ||||
\(795\) | 2.30423 | + | 10.5000i | 0.0817227 | + | 0.372397i | ||||
\(796\) | −7.55207 | − | 33.0878i | −0.267676 | − | 1.17276i | ||||
\(797\) | 4.02064 | − | 10.2444i | 0.142418 | − | 0.362876i | −0.841811 | − | 0.539772i | \(-0.818510\pi\) |
0.984230 | + | 0.176896i | \(0.0566056\pi\) | |||||||
\(798\) | −1.89443 | − | 19.2801i | −0.0670623 | − | 0.682508i | ||||
\(799\) | −19.5759 | − | 49.8787i | −0.692547 | − | 1.76458i | ||||
\(800\) | 15.1112 | − | 10.3027i | 0.534263 | − | 0.364255i | ||||
\(801\) | −12.3827 | + | 15.0049i | −0.437520 | + | 0.530171i | ||||
\(802\) | −6.49884 | − | 11.2563i | −0.229482 | − | 0.397474i | ||||
\(803\) | −1.78710 | − | 3.09535i | −0.0630653 | − | 0.109232i | ||||
\(804\) | 7.74936 | − | 32.6881i | 0.273299 | − | 1.15282i | ||||
\(805\) | 30.0125 | − | 5.49601i | 1.05780 | − | 0.193709i | ||||
\(806\) | 14.4907 | − | 4.46978i | 0.510412 | − | 0.157441i | ||||
\(807\) | −32.9018 | + | 40.5562i | −1.15820 | + | 1.42765i | ||||
\(808\) | −9.18846 | + | 11.5220i | −0.323249 | + | 0.405341i | ||||
\(809\) | −20.2531 | − | 3.05267i | −0.712062 | − | 0.107326i | −0.216984 | − | 0.976175i | \(-0.569622\pi\) |
−0.495077 | + | 0.868849i | \(0.664860\pi\) | |||||||
\(810\) | 18.4336 | + | 9.65051i | 0.647691 | + | 0.339084i | ||||
\(811\) | −9.39342 | + | 41.1552i | −0.329847 | + | 1.44516i | 0.489573 | + | 0.871963i | \(0.337153\pi\) |
−0.819420 | + | 0.573194i | \(0.805704\pi\) | |||||||
\(812\) | 3.37550 | − | 1.75868i | 0.118457 | − | 0.0617176i | ||||
\(813\) | −19.4442 | + | 5.81990i | −0.681939 | + | 0.204113i | ||||
\(814\) | 2.50853 | 0.0879241 | ||||||||
\(815\) | −0.658496 | + | 1.14055i | −0.0230661 | + | 0.0399517i | ||||
\(816\) | 3.71972 | − | 1.11336i | 0.130216 | − | 0.0389753i | ||||
\(817\) | −0.709342 | − | 9.46551i | −0.0248167 | − | 0.331156i | ||||
\(818\) | −19.4357 | + | 24.3716i | −0.679552 | + | 0.852132i | ||||
\(819\) | 1.84712 | + | 20.5667i | 0.0645437 | + | 0.718659i | ||||
\(820\) | −28.0148 | − | 35.1294i | −0.978319 | − | 1.22677i | ||||
\(821\) | −3.73527 | + | 3.46582i | −0.130362 | + | 0.120958i | −0.742660 | − | 0.669669i | \(-0.766436\pi\) |
0.612298 | + | 0.790627i | \(0.290245\pi\) | |||||||
\(822\) | −1.24136 | − | 5.65668i | −0.0432974 | − | 0.197299i | ||||
\(823\) | −14.5926 | + | 9.94906i | −0.508665 | + | 0.346802i | −0.790301 | − | 0.612719i | \(-0.790076\pi\) |
0.281635 | + | 0.959522i | \(0.409123\pi\) | |||||||
\(824\) | 0.167075 | − | 0.209505i | 0.00582032 | − | 0.00729846i | ||||
\(825\) | −0.916453 | + | 1.55709i | −0.0319068 | + | 0.0542108i | ||||
\(826\) | 11.5469 | − | 2.11451i | 0.401768 | − | 0.0735733i | ||||
\(827\) | 14.7202 | + | 7.08888i | 0.511872 | + | 0.246504i | 0.671945 | − | 0.740601i | \(-0.265459\pi\) |
−0.160074 | + | 0.987105i | \(0.551173\pi\) | |||||||
\(828\) | 14.5564 | + | 7.31279i | 0.505871 | + | 0.254137i | ||||
\(829\) | 27.6214 | − | 8.52008i | 0.959332 | − | 0.295915i | 0.224736 | − | 0.974420i | \(-0.427848\pi\) |
0.734596 | + | 0.678505i | \(0.237372\pi\) | |||||||
\(830\) | −3.27277 | + | 1.57608i | −0.113600 | + | 0.0547066i | ||||
\(831\) | −49.0724 | − | 15.5880i | −1.70230 | − | 0.540741i | ||||
\(832\) | −4.84722 | − | 8.39563i | −0.168047 | − | 0.291066i | ||||
\(833\) | 25.1160 | − | 19.5505i | 0.870219 | − | 0.677383i | ||||
\(834\) | 0.252068 | + | 3.78910i | 0.00872840 | + | 0.131206i | ||||
\(835\) | −1.75418 | + | 4.46958i | −0.0607059 | + | 0.154676i | ||||
\(836\) | 1.92220 | + | 1.31054i | 0.0664807 | + | 0.0453258i | ||||
\(837\) | −19.5010 | + | 31.8985i | −0.674052 | + | 1.10257i | ||||
\(838\) | −0.714321 | + | 9.53196i | −0.0246758 | + | 0.329276i | ||||
\(839\) | −21.0515 | + | 14.3527i | −0.726778 | + | 0.495509i | −0.869301 | − | 0.494282i | \(-0.835431\pi\) |
0.142523 | + | 0.989791i | \(0.454478\pi\) | |||||||
\(840\) | 33.6002 | − | 11.2222i | 1.15932 | − | 0.387203i | ||||
\(841\) | −23.0139 | − | 15.6906i | −0.793582 | − | 0.541055i | ||||
\(842\) | −12.0335 | + | 15.0895i | −0.414702 | + | 0.520020i | ||||
\(843\) | −15.5232 | + | 38.5990i | −0.534648 | + | 1.32942i | ||||
\(844\) | −22.9161 | − | 28.7359i | −0.788804 | − | 0.989129i | ||||
\(845\) | 16.9939 | + | 5.24194i | 0.584609 | + | 0.180328i | ||||
\(846\) | 6.83972 | − | 27.8115i | 0.235154 | − | 0.956178i | ||||
\(847\) | −27.7859 | − | 7.62068i | −0.954736 | − | 0.261850i | ||||
\(848\) | 0.391728 | + | 0.998108i | 0.0134520 | + | 0.0342752i | ||||
\(849\) | −3.55178 | + | 8.83161i | −0.121897 | + | 0.303100i | ||||
\(850\) | 11.0668 | + | 3.41364i | 0.379587 | + | 0.117087i | ||||
\(851\) | −18.8580 | + | 32.6630i | −0.646443 | + | 1.11967i | ||||
\(852\) | −0.548781 | − | 8.24931i | −0.0188009 | − | 0.282617i | ||||
\(853\) | 1.35975 | + | 0.419428i | 0.0465571 | + | 0.0143610i | 0.317946 | − | 0.948109i | \(-0.397007\pi\) |
−0.271389 | + | 0.962470i | \(0.587483\pi\) | |||||||
\(854\) | −23.0981 | + | 7.93017i | −0.790400 | + | 0.271365i | ||||
\(855\) | −40.5716 | + | 18.7078i | −1.38752 | + | 0.639795i | ||||
\(856\) | 26.7649 | + | 24.8342i | 0.914804 | + | 0.848814i | ||||
\(857\) | 28.1398 | − | 35.2862i | 0.961237 | − | 1.20535i | −0.0174192 | − | 0.999848i | \(-0.505545\pi\) |
0.978656 | − | 0.205505i | \(-0.0658836\pi\) | |||||||
\(858\) | 0.994929 | + | 0.690604i | 0.0339663 | + | 0.0235768i | ||||
\(859\) | 9.90182 | − | 43.3827i | 0.337846 | − | 1.48020i | −0.465693 | − | 0.884946i | \(-0.654195\pi\) |
0.803539 | − | 0.595253i | \(-0.202948\pi\) | |||||||
\(860\) | 6.66520 | − | 2.05594i | 0.227281 | − | 0.0701070i | ||||
\(861\) | −20.7686 | − | 49.5163i | −0.707793 | − | 1.68751i | ||||
\(862\) | −8.94051 | − | 2.75778i | −0.304515 | − | 0.0939304i | ||||
\(863\) | −10.8552 | + | 18.8018i | −0.369516 | + | 0.640020i | −0.989490 | − | 0.144602i | \(-0.953810\pi\) |
0.619974 | + | 0.784622i | \(0.287143\pi\) | |||||||
\(864\) | 28.6501 | + | 9.63188i | 0.974698 | + | 0.327683i | ||||
\(865\) | −51.8848 | + | 48.1420i | −1.76414 | + | 1.63688i | ||||
\(866\) | 0.808453 | + | 10.7881i | 0.0274724 | + | 0.366593i | ||||
\(867\) | 5.22791 | + | 3.62882i | 0.177549 | + | 0.123241i | ||||
\(868\) | 6.47511 | + | 24.7468i | 0.219780 | + | 0.839961i | ||||
\(869\) | −0.235538 | + | 0.600141i | −0.00799009 | + | 0.0203584i | ||||
\(870\) | 3.11810 | + | 2.94214i | 0.105714 | + | 0.0997480i | ||||
\(871\) | 23.4132 | + | 29.3593i | 0.793328 | + | 0.994801i | ||||
\(872\) | −1.60187 | − | 21.3755i | −0.0542462 | − | 0.723865i | ||||
\(873\) | −22.3688 | − | 0.374634i | −0.757068 | − | 0.0126794i | ||||
\(874\) | 15.3918 | − | 7.41229i | 0.520635 | − | 0.250725i | ||||
\(875\) | 13.5137 | + | 3.70632i | 0.456846 | + | 0.125296i | ||||
\(876\) | 24.8232 | − | 3.52919i | 0.838700 | − | 0.119240i | ||||
\(877\) | −28.9378 | + | 13.9357i | −0.977159 | + | 0.470575i | −0.853127 | − | 0.521703i | \(-0.825297\pi\) |
−0.124032 | + | 0.992278i | \(0.539583\pi\) | |||||||
\(878\) | −14.5795 | − | 13.5278i | −0.492035 | − | 0.456542i | ||||
\(879\) | −3.24427 | − | 0.0271658i | −0.109427 | − | 0.000916280i | ||||
\(880\) | −0.170541 | + | 0.434533i | −0.00574895 | + | 0.0146481i | ||||
\(881\) | 15.3125 | 0.515893 | 0.257946 | − | 0.966159i | \(-0.416954\pi\) | ||||
0.257946 | + | 0.966159i | \(0.416954\pi\) | |||||||
\(882\) | 16.9941 | − | 0.787200i | 0.572222 | − | 0.0265064i | ||||
\(883\) | 41.9569 | 1.41196 | 0.705982 | − | 0.708230i | \(-0.250506\pi\) | ||||
0.705982 | + | 0.708230i | \(0.250506\pi\) | |||||||
\(884\) | −5.80711 | + | 14.7963i | −0.195314 | + | 0.497653i | ||||
\(885\) | −13.3391 | − | 23.5573i | −0.448388 | − | 0.791871i | ||||
\(886\) | 13.7250 | + | 12.7349i | 0.461099 | + | 0.427838i | ||||
\(887\) | −26.1857 | + | 12.6104i | −0.879229 | + | 0.423414i | −0.818343 | − | 0.574731i | \(-0.805107\pi\) |
−0.0608859 | + | 0.998145i | \(0.519393\pi\) | |||||||
\(888\) | −16.3387 | + | 40.6268i | −0.548292 | + | 1.36335i | ||||
\(889\) | −14.4513 | + | 2.64638i | −0.484681 | + | 0.0887568i | ||||
\(890\) | −13.5075 | + | 6.50486i | −0.452772 | + | 0.218043i | ||||
\(891\) | −2.96587 | + | 0.345913i | −0.0993605 | + | 0.0115885i | ||||
\(892\) | 0.277151 | + | 3.69833i | 0.00927971 | + | 0.123829i | ||||
\(893\) | 38.3425 | + | 48.0799i | 1.28308 | + | 1.60893i | ||||
\(894\) | 1.91422 | − | 8.07448i | 0.0640210 | − | 0.270051i | ||||
\(895\) | 18.5131 | − | 47.1707i | 0.618826 | − | 1.57674i | ||||
\(896\) | 20.2145 | − | 10.5320i | 0.675319 | − | 0.351850i | ||||
\(897\) | −16.4716 | + | 7.76307i | −0.549970 | + | 0.259201i | ||||
\(898\) | 0.231825 | + | 3.09349i | 0.00773609 | + | 0.103231i | ||||
\(899\) | −5.64686 | + | 5.23952i | −0.188333 | + | 0.174748i | ||||
\(900\) | −7.73532 | − | 10.0402i | −0.257844 | − | 0.334673i | ||||
\(901\) | −4.94430 | + | 8.56378i | −0.164719 | + | 0.285301i | ||||
\(902\) | −3.00940 | − | 0.928277i | −0.100202 | − | 0.0309082i | ||||
\(903\) | 8.33321 | − | 0.192902i | 0.277312 | − | 0.00641937i | ||||
\(904\) | 0.581247 | − | 0.179291i | 0.0193320 | − | 0.00596313i | ||||
\(905\) | −3.80069 | + | 16.6519i | −0.126339 | + | 0.553529i | ||||
\(906\) | −0.628174 | + | 0.296059i | −0.0208697 | + | 0.00983590i | ||||
\(907\) | 26.0787 | − | 32.7017i | 0.865930 | − | 1.08584i | −0.129616 | − | 0.991564i | \(-0.541374\pi\) |
0.995546 | − | 0.0942776i | \(-0.0300541\pi\) | |||||||
\(908\) | 5.82862 | + | 5.40817i | 0.193429 | + | 0.179476i | ||||
\(909\) | 13.3296 | + | 9.41876i | 0.442115 | + | 0.312401i | ||||
\(910\) | −5.34402 | + | 14.9889i | −0.177153 | + | 0.496878i | ||||
\(911\) | 8.79757 | + | 2.71369i | 0.291477 | + | 0.0899086i | 0.437045 | − | 0.899440i | \(-0.356025\pi\) |
−0.145569 | + | 0.989348i | \(0.546501\pi\) | |||||||
\(912\) | −3.70280 | + | 2.47937i | −0.122612 | + | 0.0821000i | ||||
\(913\) | 0.260647 | − | 0.451454i | 0.00862616 | − | 0.0149410i | ||||
\(914\) | 21.4839 | + | 6.62689i | 0.710623 | + | 0.219198i | ||||
\(915\) | 34.7449 | + | 44.3250i | 1.14863 | + | 1.46534i | ||||
\(916\) | 7.15337 | + | 18.2265i | 0.236354 | + | 0.602220i | ||||
\(917\) | −15.6229 | + | 29.1436i | −0.515912 | + | 0.962407i | ||||
\(918\) | 6.54290 | + | 17.9869i | 0.215948 | + | 0.593656i | ||||
\(919\) | −10.2521 | − | 3.16236i | −0.338187 | − | 0.104317i | 0.121010 | − | 0.992651i | \(-0.461387\pi\) |
−0.459197 | + | 0.888334i | \(0.651863\pi\) | |||||||
\(920\) | 19.4769 | + | 24.4232i | 0.642133 | + | 0.805210i | ||||
\(921\) | 14.5210 | − | 2.06449i | 0.478482 | − | 0.0680271i | ||||
\(922\) | −7.49722 | + | 9.40122i | −0.246908 | + | 0.309613i | ||||
\(923\) | 7.63575 | + | 5.20597i | 0.251334 | + | 0.171356i | ||||
\(924\) | −1.23647 | + | 1.62631i | −0.0406767 | + | 0.0535016i | ||||
\(925\) | 24.2457 | − | 16.5304i | 0.797194 | − | 0.543518i | ||||
\(926\) | −0.119055 | + | 1.58868i | −0.00391239 | + | 0.0522072i | ||||
\(927\) | −0.242374 | − | 0.171262i | −0.00796059 | − | 0.00562499i | ||||
\(928\) | 5.14557 | + | 3.50819i | 0.168912 | + | 0.115162i | ||||
\(929\) | 15.6463 | − | 39.8661i | 0.513339 | − | 1.30797i | −0.405775 | − | 0.913973i | \(-0.632998\pi\) |
0.919114 | − | 0.393993i | \(-0.128906\pi\) | |||||||
\(930\) | −23.9404 | + | 16.0303i | −0.785036 | + | 0.525654i | ||||
\(931\) | −20.9312 | + | 29.9376i | −0.685993 | + | 0.981165i | ||||
\(932\) | 11.3668 | + | 19.6879i | 0.372332 | + | 0.644897i | ||||
\(933\) | −27.2300 | + | 24.8447i | −0.891471 | + | 0.813380i | ||||
\(934\) | −14.6509 | + | 7.05549i | −0.479392 | + | 0.230863i | ||||
\(935\) | −4.11381 | + | 1.26894i | −0.134536 | + | 0.0414988i | ||||
\(936\) | −17.6649 | + | 11.6152i | −0.577394 | + | 0.379655i | ||||
\(937\) | 8.86234 | + | 4.26788i | 0.289520 | + | 0.139426i | 0.573007 | − | 0.819551i | \(-0.305777\pi\) |
−0.283487 | + | 0.958976i | \(0.591491\pi\) | |||||||
\(938\) | 25.0000 | − | 18.2247i | 0.816279 | − | 0.595056i | ||||
\(939\) | −28.4255 | − | 0.238020i | −0.927630 | − | 0.00776748i | ||||
\(940\) | −28.1754 | + | 35.3308i | −0.918979 | + | 1.15236i | ||||
\(941\) | −2.08187 | + | 1.41939i | −0.0678669 | + | 0.0462709i | −0.596778 | − | 0.802406i | \(-0.703553\pi\) |
0.528911 | + | 0.848677i | \(0.322600\pi\) | |||||||
\(942\) | 27.9550 | + | 8.88000i | 0.910824 | + | 0.289326i | ||||
\(943\) | 34.7101 | − | 32.2063i | 1.13032 | − | 1.04878i | ||||
\(944\) | −1.68356 | − | 2.11112i | −0.0547953 | − | 0.0687111i | ||||
\(945\) | −14.5668 | − | 36.4286i | −0.473859 | − | 1.18502i | ||||
\(946\) | 0.304815 | − | 0.382226i | 0.00991040 | − | 0.0124273i | ||||
\(947\) | 0.339507 | + | 4.53040i | 0.0110325 | + | 0.147218i | 1.00000 | 0.000917065i | \(-0.000291911\pi\) | |
−0.988967 | + | 0.148135i | \(0.952673\pi\) | |||||||
\(948\) | −3.28943 | − | 3.10380i | −0.106836 | − | 0.100807i | ||||
\(949\) | −14.0134 | + | 24.2719i | −0.454894 | + | 0.787900i | ||||
\(950\) | −13.2918 | −0.431243 | ||||||||
\(951\) | 4.37274 | − | 18.4450i | 0.141796 | − | 0.598118i | ||||
\(952\) | 29.7904 | + | 13.2066i | 0.965513 | + | 0.428027i | ||||
\(953\) | 6.26159 | − | 27.4338i | 0.202833 | − | 0.888669i | −0.766369 | − | 0.642401i | \(-0.777939\pi\) |
0.969202 | − | 0.246268i | \(-0.0792043\pi\) | |||||||
\(954\) | −4.79981 | + | 2.21323i | −0.155400 | + | 0.0716559i | ||||
\(955\) | 7.73867 | + | 1.16642i | 0.250418 | + | 0.0377444i | ||||
\(956\) | 7.11319 | − | 8.91966i | 0.230057 | − | 0.288483i | ||||
\(957\) | −0.607566 | − | 0.0967855i | −0.0196398 | − | 0.00312863i | ||||
\(958\) | −9.21440 | + | 2.84226i | −0.297704 | + | 0.0918294i | ||||
\(959\) | −5.15923 | + | 9.62427i | −0.166600 | + | 0.310784i | ||||
\(960\) | 13.3967 | + | 12.6407i | 0.432377 | + | 0.407978i | ||||
\(961\) | −10.3853 | − | 17.9878i | −0.335008 | − | 0.580251i | ||||
\(962\) | −9.83525 | − | 17.0351i | −0.317101 | − | 0.549235i | ||||
\(963\) | 25.7378 | − | 31.1882i | 0.829390 | − | 1.00502i | ||||
\(964\) | −10.6371 | + | 7.25226i | −0.342598 | + | 0.233580i | ||||
\(965\) | −18.5710 | − | 47.3181i | −0.597822 | − | 1.52322i | ||||
\(966\) | 5.80254 | + | 13.8343i | 0.186694 | + | 0.445113i | ||||
\(967\) | 20.3519 | − | 51.8557i | 0.654471 | − | 1.66757i | −0.0866866 | − | 0.996236i | \(-0.527628\pi\) |
0.741158 | − | 0.671331i | \(-0.234277\pi\) | |||||||
\(968\) | −6.56403 | − | 28.7589i | −0.210976 | − | 0.924345i | ||||
\(969\) | −39.1689 | − | 12.4421i | −1.25829 | − | 0.399699i | ||||
\(970\) | −15.5331 | − | 7.48034i | −0.498737 | − | 0.240179i | ||||
\(971\) | 3.08819 | + | 7.86857i | 0.0991047 | + | 0.252515i | 0.971824 | − | 0.235708i | \(-0.0757408\pi\) |
−0.872719 | + | 0.488222i | \(0.837646\pi\) | |||||||
\(972\) | 5.51167 | − | 20.2084i | 0.176787 | − | 0.648184i | ||||
\(973\) | 4.28582 | − | 5.73615i | 0.137397 | − | 0.183893i | ||||
\(974\) | −3.86536 | + | 2.63536i | −0.123854 | + | 0.0844424i | ||||
\(975\) | 14.1671 | + | 0.118628i | 0.453711 | + | 0.00379914i | ||||
\(976\) | 4.11793 | + | 3.82088i | 0.131812 | + | 0.122303i | ||||
\(977\) | 3.46569 | − | 46.2464i | 0.110877 | − | 1.47955i | −0.613252 | − | 0.789888i | \(-0.710139\pi\) |
0.724129 | − | 0.689665i | \(-0.242242\pi\) | |||||||
\(978\) | −0.617152 | − | 0.196040i | −0.0197344 | − | 0.00626868i | ||||
\(979\) | 1.07575 | − | 1.86326i | 0.0343812 | − | 0.0595499i | ||||
\(980\) | −24.8702 | − | 10.1001i | −0.794449 | − | 0.322635i | ||||
\(981\) | −23.5307 | + | 3.14465i | −0.751277 | + | 0.100401i | ||||
\(982\) | −20.4896 | + | 3.08830i | −0.653848 | + | 0.0985517i | ||||
\(983\) | −11.3484 | + | 5.46512i | −0.361959 | + | 0.174310i | −0.606020 | − | 0.795450i | \(-0.707235\pi\) |
0.244061 | + | 0.969760i | \(0.421520\pi\) | |||||||
\(984\) | 34.6349 | − | 42.6924i | 1.10412 | − | 1.36099i | ||||
\(985\) | −41.6949 | + | 20.0792i | −1.32851 | + | 0.639777i | ||||
\(986\) | 0.294704 | + | 3.93255i | 0.00938528 | + | 0.125238i | ||||
\(987\) | −43.9035 | + | 31.4455i | −1.39747 | + | 1.00092i | ||||
\(988\) | 1.36328 | − | 18.1917i | 0.0433716 | − | 0.578754i | ||||
\(989\) | 2.68541 | + | 6.84232i | 0.0853911 | + | 0.217573i | ||||
\(990\) | −2.18718 | − | 0.714981i | −0.0695132 | − | 0.0227236i | ||||
\(991\) | 3.87798 | − | 9.88094i | 0.123188 | − | 0.313878i | −0.855955 | − | 0.517051i | \(-0.827030\pi\) |
0.979143 | + | 0.203172i | \(0.0651251\pi\) | |||||||
\(992\) | −30.6812 | + | 28.4680i | −0.974130 | + | 0.903861i | ||||
\(993\) | −3.41757 | − | 15.5733i | −0.108453 | − | 0.494204i | ||||
\(994\) | 4.55718 | − | 6.09934i | 0.144545 | − | 0.193459i | ||||
\(995\) | −71.2738 | − | 10.7428i | −2.25953 | − | 0.340570i | ||||
\(996\) | 2.25600 | + | 2.87804i | 0.0714840 | + | 0.0911942i | ||||
\(997\) | 9.35030 | + | 40.9663i | 0.296127 | + | 1.29742i | 0.875842 | + | 0.482598i | \(0.160307\pi\) |
−0.579715 | + | 0.814819i | \(0.696836\pi\) | |||||||
\(998\) | 0.788903 | + | 1.36642i | 0.0249723 | + | 0.0432533i | ||||
\(999\) | 45.9686 | + | 15.4542i | 1.45438 | + | 0.488948i |
(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 | 441.2.z.a.142.35 | yes | 648 | |
9.4 | even | 3 | 441.2.y.a.436.35 | yes | 648 | ||
49.39 | even | 21 | 441.2.y.a.88.35 | ✓ | 648 | ||
441.382 | even | 21 | inner | 441.2.z.a.382.35 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.y.a.88.35 | ✓ | 648 | 49.39 | even | 21 | ||
441.2.y.a.436.35 | yes | 648 | 9.4 | even | 3 | ||
441.2.z.a.142.35 | yes | 648 | 1.1 | even | 1 | trivial | |
441.2.z.a.382.35 | yes | 648 | 441.382 | even | 21 | inner |