Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [588,2,Mod(103,588)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(588, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([21, 0, 29]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("588.103");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 588.ba (of order \(42\), 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: | \(4.69520363885\) |
Analytic rank: | \(0\) |
Dimension: | \(336\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 187.6 | ||
Character | \(\chi\) | \(=\) | 588.187 |
Dual form | 588.2.ba.b.283.6 |
$q$-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 \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(295\) | \(493\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{23}{42}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.18126 | − | 0.777579i | −0.835275 | − | 0.549832i | ||||
\(3\) | −0.988831 | − | 0.149042i | −0.570902 | − | 0.0860496i | ||||
\(4\) | 0.790741 | + | 1.83704i | 0.395370 | + | 0.918522i | ||||
\(5\) | −3.50311 | + | 1.37487i | −1.56664 | + | 0.614860i | −0.980704 | − | 0.195499i | \(-0.937368\pi\) |
−0.585934 | + | 0.810359i | \(0.699272\pi\) | |||||||
\(6\) | 1.05217 | + | 0.944952i | 0.429547 | + | 0.385775i | ||||
\(7\) | −1.44441 | + | 2.21668i | −0.545936 | + | 0.837827i | ||||
\(8\) | 0.494379 | − | 2.78489i | 0.174789 | − | 0.984606i | ||||
\(9\) | 0.955573 | + | 0.294755i | 0.318524 | + | 0.0982517i | ||||
\(10\) | 5.20715 | + | 1.09987i | 1.64664 | + | 0.347810i | ||||
\(11\) | 0.139777 | + | 0.453145i | 0.0421442 | + | 0.136628i | 0.974200 | − | 0.225687i | \(-0.0724626\pi\) |
−0.932056 | + | 0.362315i | \(0.881986\pi\) | |||||||
\(12\) | −0.508112 | − | 1.93438i | −0.146679 | − | 0.558407i | ||||
\(13\) | 2.84482 | + | 0.649311i | 0.789011 | + | 0.180087i | 0.597994 | − | 0.801500i | \(-0.295965\pi\) |
0.191016 | + | 0.981587i | \(0.438822\pi\) | |||||||
\(14\) | 3.42987 | − | 1.49533i | 0.916671 | − | 0.399643i | ||||
\(15\) | 3.66890 | − | 0.837402i | 0.947305 | − | 0.216216i | ||||
\(16\) | −2.74946 | + | 2.90525i | −0.687365 | + | 0.726313i | ||||
\(17\) | −4.01552 | + | 5.88969i | −0.973907 | + | 1.42846i | −0.0715670 | + | 0.997436i | \(0.522800\pi\) |
−0.902340 | + | 0.431024i | \(0.858152\pi\) | |||||||
\(18\) | −0.899582 | − | 1.09122i | −0.212034 | − | 0.257202i | ||||
\(19\) | 0.661071 | − | 1.14501i | 0.151660 | − | 0.262683i | −0.780178 | − | 0.625558i | \(-0.784871\pi\) |
0.931838 | + | 0.362875i | \(0.118205\pi\) | |||||||
\(20\) | −5.29575 | − | 5.34820i | −1.18416 | − | 1.19589i | ||||
\(21\) | 1.75866 | − | 1.97664i | 0.383771 | − | 0.431339i | ||||
\(22\) | 0.187244 | − | 0.643968i | 0.0399205 | − | 0.137294i | ||||
\(23\) | −5.01253 | − | 7.35203i | −1.04518 | − | 1.53300i | −0.831048 | − | 0.556201i | \(-0.812258\pi\) |
−0.214137 | − | 0.976804i | \(-0.568694\pi\) | |||||||
\(24\) | −0.903923 | + | 2.68010i | −0.184512 | + | 0.547073i | ||||
\(25\) | 6.71625 | − | 6.23177i | 1.34325 | − | 1.24635i | ||||
\(26\) | −2.85557 | − | 2.97908i | −0.560024 | − | 0.584245i | ||||
\(27\) | −0.900969 | − | 0.433884i | −0.173392 | − | 0.0835010i | ||||
\(28\) | −5.21429 | − | 0.900626i | −0.985409 | − | 0.170202i | ||||
\(29\) | 5.68334 | − | 2.73695i | 1.05537 | − | 0.508239i | 0.176005 | − | 0.984389i | \(-0.443682\pi\) |
0.879364 | + | 0.476150i | \(0.157968\pi\) | |||||||
\(30\) | −4.98506 | − | 1.86367i | −0.910143 | − | 0.340258i | ||||
\(31\) | −4.26238 | − | 7.38265i | −0.765546 | − | 1.32596i | −0.939958 | − | 0.341291i | \(-0.889136\pi\) |
0.174412 | − | 0.984673i | \(-0.444198\pi\) | |||||||
\(32\) | 5.50688 | − | 1.29393i | 0.973488 | − | 0.228736i | ||||
\(33\) | −0.0706777 | − | 0.468916i | −0.0123034 | − | 0.0816278i | ||||
\(34\) | 9.32307 | − | 3.83486i | 1.59889 | − | 0.657672i | ||||
\(35\) | 2.01228 | − | 9.75115i | 0.340138 | − | 1.64825i | ||||
\(36\) | 0.214132 | + | 1.98850i | 0.0356887 | + | 0.331417i | ||||
\(37\) | −0.360697 | + | 4.81317i | −0.0592983 | + | 0.791281i | 0.885711 | + | 0.464237i | \(0.153671\pi\) |
−0.945009 | + | 0.327043i | \(0.893948\pi\) | |||||||
\(38\) | −1.67123 | + | 0.838516i | −0.271109 | + | 0.136025i | ||||
\(39\) | −2.71627 | − | 1.06606i | −0.434951 | − | 0.170706i | ||||
\(40\) | 2.09699 | + | 10.4355i | 0.331563 | + | 1.64999i | ||||
\(41\) | 1.05946 | + | 0.844888i | 0.165459 | + | 0.131949i | 0.702719 | − | 0.711467i | \(-0.251969\pi\) |
−0.537260 | + | 0.843417i | \(0.680541\pi\) | |||||||
\(42\) | −3.61443 | + | 0.967431i | −0.557718 | + | 0.149278i | ||||
\(43\) | −4.03862 | + | 3.22070i | −0.615884 | + | 0.491151i | −0.881032 | − | 0.473056i | \(-0.843151\pi\) |
0.265148 | + | 0.964208i | \(0.414579\pi\) | |||||||
\(44\) | −0.721920 | + | 0.615096i | −0.108833 | + | 0.0927292i | ||||
\(45\) | −3.75273 | + | 0.281228i | −0.559423 | + | 0.0419230i | ||||
\(46\) | 0.204303 | + | 12.5823i | 0.0301228 | + | 1.85516i | ||||
\(47\) | −2.39114 | − | 2.21866i | −0.348784 | − | 0.323624i | 0.486253 | − | 0.873818i | \(-0.338363\pi\) |
−0.835037 | + | 0.550194i | \(0.814554\pi\) | |||||||
\(48\) | 3.15175 | − | 2.46302i | 0.454917 | − | 0.355506i | ||||
\(49\) | −2.82735 | − | 6.40360i | −0.403908 | − | 0.914800i | ||||
\(50\) | −12.7793 | + | 2.13891i | −1.80727 | + | 0.302487i | ||||
\(51\) | 4.84849 | − | 5.22543i | 0.678924 | − | 0.731706i | ||||
\(52\) | 1.05670 | + | 5.73949i | 0.146538 | + | 0.795924i | ||||
\(53\) | −0.511055 | − | 6.81955i | −0.0701988 | − | 0.936738i | −0.915466 | − | 0.402394i | \(-0.868178\pi\) |
0.845268 | − | 0.534343i | \(-0.179441\pi\) | |||||||
\(54\) | 0.726898 | + | 1.21310i | 0.0989182 | + | 0.165082i | ||||
\(55\) | −1.11267 | − | 1.39524i | −0.150032 | − | 0.188134i | ||||
\(56\) | 5.45912 | + | 5.11840i | 0.729505 | + | 0.683975i | ||||
\(57\) | −0.824342 | + | 1.03369i | −0.109187 | + | 0.136916i | ||||
\(58\) | −8.84169 | − | 1.18620i | −1.16097 | − | 0.155756i | ||||
\(59\) | 1.00480 | − | 2.56020i | 0.130814 | − | 0.333309i | −0.850427 | − | 0.526093i | \(-0.823656\pi\) |
0.981241 | + | 0.192784i | \(0.0617516\pi\) | |||||||
\(60\) | 4.43949 | + | 6.07775i | 0.573135 | + | 0.784635i | ||||
\(61\) | 2.70817 | + | 0.202949i | 0.346745 | + | 0.0259850i | 0.246965 | − | 0.969025i | \(-0.420567\pi\) |
0.0997805 | + | 0.995009i | \(0.468186\pi\) | |||||||
\(62\) | −0.705633 | + | 12.0352i | −0.0896154 | + | 1.52847i | ||||
\(63\) | −2.03362 | + | 1.69245i | −0.256212 | + | 0.213229i | ||||
\(64\) | −7.51118 | − | 2.75358i | −0.938897 | − | 0.344197i | ||||
\(65\) | −10.8584 | + | 1.63664i | −1.34682 | + | 0.203001i | ||||
\(66\) | −0.281131 | + | 0.608868i | −0.0346048 | + | 0.0749465i | ||||
\(67\) | 12.8976 | − | 7.44645i | 1.57570 | − | 0.909728i | 0.580246 | − | 0.814442i | \(-0.302957\pi\) |
0.995450 | − | 0.0952866i | \(-0.0303767\pi\) | |||||||
\(68\) | −13.9949 | − | 2.71947i | −1.69713 | − | 0.329785i | ||||
\(69\) | 3.86078 | + | 8.01699i | 0.464783 | + | 0.965133i | ||||
\(70\) | −9.95932 | + | 9.95392i | −1.19037 | + | 1.18972i | ||||
\(71\) | 4.43710 | − | 9.21372i | 0.526586 | − | 1.09347i | −0.452826 | − | 0.891599i | \(-0.649584\pi\) |
0.979413 | − | 0.201869i | \(-0.0647015\pi\) | |||||||
\(72\) | 1.29327 | − | 2.51544i | 0.152414 | − | 0.296448i | ||||
\(73\) | −0.883174 | − | 0.951835i | −0.103368 | − | 0.111404i | 0.679249 | − | 0.733908i | \(-0.262306\pi\) |
−0.782616 | + | 0.622504i | \(0.786115\pi\) | |||||||
\(74\) | 4.16870 | − | 5.40513i | 0.484601 | − | 0.628333i | ||||
\(75\) | −7.57003 | + | 5.16116i | −0.874112 | + | 0.595960i | ||||
\(76\) | 2.62617 | + | 0.309012i | 0.301242 | + | 0.0354461i | ||||
\(77\) | −1.20637 | − | 0.344687i | −0.137479 | − | 0.0392807i | ||||
\(78\) | 2.37967 | + | 3.37140i | 0.269445 | + | 0.381736i | ||||
\(79\) | −7.96671 | − | 4.59958i | −0.896325 | − | 0.517494i | −0.0203191 | − | 0.999794i | \(-0.506468\pi\) |
−0.876006 | + | 0.482300i | \(0.839802\pi\) | |||||||
\(80\) | 5.63732 | − | 13.9576i | 0.630271 | − | 1.56050i | ||||
\(81\) | 0.826239 | + | 0.563320i | 0.0918043 | + | 0.0625911i | ||||
\(82\) | −0.594523 | − | 1.82184i | −0.0656541 | − | 0.201189i | ||||
\(83\) | 3.04218 | + | 13.3287i | 0.333923 | + | 1.46301i | 0.811464 | + | 0.584402i | \(0.198671\pi\) |
−0.477542 | + | 0.878609i | \(0.658472\pi\) | |||||||
\(84\) | 5.02182 | + | 1.66772i | 0.547926 | + | 0.181963i | ||||
\(85\) | 5.96926 | − | 26.1530i | 0.647457 | − | 2.83670i | ||||
\(86\) | 7.27500 | − | 0.664121i | 0.784484 | − | 0.0716140i | ||||
\(87\) | −6.02778 | + | 1.85932i | −0.646246 | + | 0.199341i | ||||
\(88\) | 1.33106 | − | 0.165237i | 0.141891 | − | 0.0176143i | ||||
\(89\) | −2.58076 | + | 8.36662i | −0.273560 | + | 0.886860i | 0.709677 | + | 0.704527i | \(0.248841\pi\) |
−0.983237 | + | 0.182333i | \(0.941635\pi\) | |||||||
\(90\) | 4.65161 | + | 2.58584i | 0.490323 | + | 0.272571i | ||||
\(91\) | −5.54840 | + | 5.36818i | −0.581631 | + | 0.562739i | ||||
\(92\) | 9.54239 | − | 15.0218i | 0.994863 | − | 1.56613i | ||||
\(93\) | 3.11444 | + | 7.93547i | 0.322953 | + | 0.822870i | ||||
\(94\) | 1.09937 | + | 4.48011i | 0.113392 | + | 0.462088i | ||||
\(95\) | −0.741567 | + | 4.91998i | −0.0760832 | + | 0.504779i | ||||
\(96\) | −5.63822 | + | 0.458717i | −0.575449 | + | 0.0468176i | ||||
\(97\) | 7.91128i | 0.803269i | 0.915800 | + | 0.401635i | \(0.131558\pi\) | ||||
−0.915800 | + | 0.401635i | \(0.868442\pi\) | |||||||
\(98\) | −1.63947 | + | 9.76279i | −0.165612 | + | 0.986191i | ||||
\(99\) | 0.474213i | 0.0476602i | ||||||||
\(100\) | 16.7588 | + | 7.41033i | 1.67588 | + | 0.741033i | ||||
\(101\) | 1.78495 | − | 11.8424i | 0.177609 | − | 1.17836i | −0.705332 | − | 0.708877i | \(-0.749202\pi\) |
0.882941 | − | 0.469484i | \(-0.155560\pi\) | |||||||
\(102\) | −9.79050 | + | 2.40249i | −0.969404 | + | 0.237882i | ||||
\(103\) | −1.83691 | − | 4.68038i | −0.180996 | − | 0.461171i | 0.811365 | − | 0.584541i | \(-0.198725\pi\) |
−0.992361 | + | 0.123369i | \(0.960630\pi\) | |||||||
\(104\) | 3.21468 | − | 7.60149i | 0.315225 | − | 0.745387i | ||||
\(105\) | −3.44314 | + | 9.34233i | −0.336016 | + | 0.911718i | ||||
\(106\) | −4.69906 | + | 8.45304i | −0.456413 | + | 0.821031i | ||||
\(107\) | −5.60251 | + | 18.1629i | −0.541615 | + | 1.75587i | 0.106481 | + | 0.994315i | \(0.466042\pi\) |
−0.648096 | + | 0.761558i | \(0.724435\pi\) | |||||||
\(108\) | 0.0846307 | − | 1.99821i | 0.00814359 | − | 0.192278i | ||||
\(109\) | −8.29135 | + | 2.55754i | −0.794167 | + | 0.244968i | −0.665185 | − | 0.746679i | \(-0.731647\pi\) |
−0.128982 | + | 0.991647i | \(0.541171\pi\) | |||||||
\(110\) | 0.229437 | + | 2.51333i | 0.0218759 | + | 0.239636i | ||||
\(111\) | 1.07403 | − | 4.70565i | 0.101943 | − | 0.446641i | ||||
\(112\) | −2.46867 | − | 10.2910i | −0.233267 | − | 0.972413i | ||||
\(113\) | −2.29881 | − | 10.0717i | −0.216254 | − | 0.947469i | −0.960218 | − | 0.279250i | \(-0.909914\pi\) |
0.743965 | − | 0.668219i | \(-0.232943\pi\) | |||||||
\(114\) | 1.77754 | − | 0.580066i | 0.166482 | − | 0.0543282i | ||||
\(115\) | 27.6675 | + | 18.8634i | 2.58001 | + | 1.75902i | ||||
\(116\) | 9.52195 | + | 8.27632i | 0.884091 | + | 0.768437i | ||||
\(117\) | 2.52704 | + | 1.45899i | 0.233625 | + | 0.134884i | ||||
\(118\) | −3.17769 | + | 2.24294i | −0.292530 | + | 0.206479i | ||||
\(119\) | −7.25550 | − | 17.4083i | −0.665111 | − | 1.59581i | ||||
\(120\) | −0.518244 | − | 10.6315i | −0.0473090 | − | 0.970514i | ||||
\(121\) | 8.90282 | − | 6.06984i | 0.809348 | − | 0.551804i | ||||
\(122\) | −3.04123 | − | 2.34555i | −0.275340 | − | 0.212356i | ||||
\(123\) | −0.921698 | − | 0.993355i | −0.0831067 | − | 0.0895678i | ||||
\(124\) | 10.1918 | − | 13.6679i | 0.915253 | − | 1.22742i | ||||
\(125\) | −6.79583 | + | 14.1117i | −0.607838 | + | 1.26219i | ||||
\(126\) | 3.71824 | − | 0.417924i | 0.331248 | − | 0.0372316i | ||||
\(127\) | −0.709703 | − | 1.47371i | −0.0629760 | − | 0.130771i | 0.867105 | − | 0.498125i | \(-0.165978\pi\) |
−0.930081 | + | 0.367354i | \(0.880264\pi\) | |||||||
\(128\) | 6.73152 | + | 9.09322i | 0.594988 | + | 0.803735i | ||||
\(129\) | 4.47354 | − | 2.58280i | 0.393873 | − | 0.227403i | ||||
\(130\) | 14.0992 | + | 6.50999i | 1.23658 | + | 0.570964i | ||||
\(131\) | 9.43716 | − | 1.42242i | 0.824528 | − | 0.124278i | 0.276793 | − | 0.960930i | \(-0.410728\pi\) |
0.547735 | + | 0.836652i | \(0.315490\pi\) | |||||||
\(132\) | 0.805532 | − | 0.500629i | 0.0701125 | − | 0.0435742i | ||||
\(133\) | 1.58326 | + | 3.11925i | 0.137286 | + | 0.270473i | ||||
\(134\) | −21.0256 | − | 1.23275i | −1.81634 | − | 0.106494i | ||||
\(135\) | 3.75273 | + | 0.281228i | 0.322983 | + | 0.0242042i | ||||
\(136\) | 14.4169 | + | 14.0945i | 1.23624 | + | 1.20859i | ||||
\(137\) | 2.88095 | − | 7.34054i | 0.246136 | − | 0.627145i | −0.753401 | − | 0.657561i | \(-0.771588\pi\) |
0.999537 | + | 0.0304163i | \(0.00968330\pi\) | |||||||
\(138\) | 1.67327 | − | 12.4722i | 0.142438 | − | 1.06170i | ||||
\(139\) | 7.00200 | − | 8.78023i | 0.593902 | − | 0.744730i | −0.390512 | − | 0.920598i | \(-0.627702\pi\) |
0.984414 | + | 0.175868i | \(0.0562733\pi\) | |||||||
\(140\) | 19.5045 | − | 4.01398i | 1.64843 | − | 0.339243i | ||||
\(141\) | 2.03376 | + | 2.55026i | 0.171274 | + | 0.214770i | ||||
\(142\) | −12.4058 | + | 7.43359i | −1.04107 | + | 0.623813i | ||||
\(143\) | 0.103407 | + | 1.37987i | 0.00864734 | + | 0.115391i | ||||
\(144\) | −3.48365 | + | 1.96576i | −0.290304 | + | 0.163813i | ||||
\(145\) | −16.1464 | + | 17.4017i | −1.34089 | + | 1.44513i | ||||
\(146\) | 0.303129 | + | 1.81110i | 0.0250871 | + | 0.149888i | ||||
\(147\) | 1.84137 | + | 6.75347i | 0.151873 | + | 0.557017i | ||||
\(148\) | −9.12722 | + | 3.14335i | −0.750253 | + | 0.258382i | ||||
\(149\) | 11.0099 | + | 10.2157i | 0.901963 | + | 0.836900i | 0.987204 | − | 0.159461i | \(-0.0509756\pi\) |
−0.0852411 | + | 0.996360i | \(0.527166\pi\) | |||||||
\(150\) | 12.9554 | − | 0.210361i | 1.05780 | − | 0.0171759i | ||||
\(151\) | 5.34170 | − | 0.400305i | 0.434701 | − | 0.0325764i | 0.144417 | − | 0.989517i | \(-0.453869\pi\) |
0.290284 | + | 0.956941i | \(0.406250\pi\) | |||||||
\(152\) | −2.86190 | − | 2.40708i | −0.232131 | − | 0.195240i | ||||
\(153\) | −5.57314 | + | 4.44443i | −0.450562 | + | 0.359311i | ||||
\(154\) | 1.15702 | + | 1.34521i | 0.0932350 | + | 0.108400i | ||||
\(155\) | 25.0818 | + | 20.0020i | 2.01462 | + | 1.60660i | ||||
\(156\) | −0.189471 | − | 5.83288i | −0.0151698 | − | 0.467004i | ||||
\(157\) | −9.97053 | − | 3.91315i | −0.795735 | − | 0.312303i | −0.0675787 | − | 0.997714i | \(-0.521527\pi\) |
−0.728156 | + | 0.685411i | \(0.759623\pi\) | |||||||
\(158\) | 5.83420 | + | 11.6280i | 0.464144 | + | 0.925078i | ||||
\(159\) | −0.511055 | + | 6.81955i | −0.0405293 | + | 0.540826i | ||||
\(160\) | −17.5122 | + | 12.1040i | −1.38446 | + | 0.956906i | ||||
\(161\) | 23.5373 | − | 0.491826i | 1.85500 | − | 0.0387613i | ||||
\(162\) | −0.537975 | − | 1.30789i | −0.0422673 | − | 0.102758i | ||||
\(163\) | −1.27173 | − | 8.43735i | −0.0996093 | − | 0.660865i | −0.981792 | − | 0.189958i | \(-0.939165\pi\) |
0.882183 | − | 0.470907i | \(-0.156073\pi\) | |||||||
\(164\) | −0.714341 | + | 2.61435i | −0.0557807 | + | 0.204147i | ||||
\(165\) | 0.892290 | + | 1.54549i | 0.0694647 | + | 0.120316i | ||||
\(166\) | 6.77049 | − | 18.1101i | 0.525492 | − | 1.40562i | ||||
\(167\) | −7.45290 | + | 3.58913i | −0.576723 | + | 0.277735i | −0.699422 | − | 0.714709i | \(-0.746559\pi\) |
0.122699 | + | 0.992444i | \(0.460845\pi\) | |||||||
\(168\) | −4.63529 | − | 5.87487i | −0.357620 | − | 0.453256i | ||||
\(169\) | −4.04121 | − | 1.94614i | −0.310862 | − | 0.149703i | ||||
\(170\) | −27.3873 | + | 26.2519i | −2.10051 | + | 2.01343i | ||||
\(171\) | 0.969199 | − | 0.899285i | 0.0741165 | − | 0.0687701i | ||||
\(172\) | −9.11006 | − | 4.87239i | −0.694636 | − | 0.371517i | ||||
\(173\) | −3.01826 | − | 4.42698i | −0.229474 | − | 0.336577i | 0.694182 | − | 0.719800i | \(-0.255766\pi\) |
−0.923656 | + | 0.383223i | \(0.874814\pi\) | |||||||
\(174\) | 8.56614 | + | 2.49074i | 0.649397 | + | 0.188822i | ||||
\(175\) | 4.11282 | + | 23.8890i | 0.310900 | + | 1.80584i | ||||
\(176\) | −1.70081 | − | 0.839817i | −0.128203 | − | 0.0633036i | ||||
\(177\) | −1.37516 | + | 2.38184i | −0.103363 | + | 0.179030i | ||||
\(178\) | 9.55425 | − | 7.87639i | 0.716122 | − | 0.590360i | ||||
\(179\) | −5.48611 | + | 8.04665i | −0.410051 | + | 0.601435i | −0.974597 | − | 0.223967i | \(-0.928099\pi\) |
0.564545 | + | 0.825402i | \(0.309052\pi\) | |||||||
\(180\) | −3.48406 | − | 6.67154i | −0.259687 | − | 0.497267i | ||||
\(181\) | −2.09573 | + | 0.478338i | −0.155775 | + | 0.0355546i | −0.299697 | − | 0.954034i | \(-0.596886\pi\) |
0.143922 | + | 0.989589i | \(0.454028\pi\) | |||||||
\(182\) | 10.7283 | − | 2.02689i | 0.795233 | − | 0.150243i | ||||
\(183\) | −2.64767 | − | 0.604313i | −0.195721 | − | 0.0446721i | ||||
\(184\) | −22.9527 | + | 10.3246i | −1.69209 | + | 0.761142i | ||||
\(185\) | −5.35392 | − | 17.3570i | −0.393628 | − | 1.27611i | ||||
\(186\) | 2.49150 | − | 11.7956i | 0.182686 | − | 0.864893i | ||||
\(187\) | −3.23016 | − | 0.996372i | −0.236213 | − | 0.0728619i | ||||
\(188\) | 2.18499 | − | 6.14701i | 0.159357 | − | 0.448317i | ||||
\(189\) | 2.26315 | − | 1.37045i | 0.164620 | − | 0.0996859i | ||||
\(190\) | 4.70166 | − | 5.23514i | 0.341094 | − | 0.379797i | ||||
\(191\) | 3.77676 | − | 1.48227i | 0.273277 | − | 0.107253i | −0.224746 | − | 0.974417i | \(-0.572155\pi\) |
0.498022 | + | 0.867164i | \(0.334060\pi\) | |||||||
\(192\) | 7.01689 | + | 3.84230i | 0.506400 | + | 0.277294i | ||||
\(193\) | −1.66258 | − | 0.250594i | −0.119675 | − | 0.0180382i | 0.0889315 | − | 0.996038i | \(-0.471655\pi\) |
−0.208607 | + | 0.978000i | \(0.566893\pi\) | |||||||
\(194\) | 6.15165 | − | 9.34527i | 0.441663 | − | 0.670951i | ||||
\(195\) | 10.9811 | 0.786371 | ||||||||
\(196\) | 9.52799 | − | 10.2576i | 0.680571 | − | 0.732683i | ||||
\(197\) | 0.221321 | 0.0157685 | 0.00788425 | − | 0.999969i | \(-0.497490\pi\) | ||||
0.00788425 | + | 0.999969i | \(0.497490\pi\) | |||||||
\(198\) | 0.368738 | − | 0.560167i | 0.0262051 | − | 0.0398094i | ||||
\(199\) | −2.39931 | − | 0.361638i | −0.170083 | − | 0.0256358i | 0.0634488 | − | 0.997985i | \(-0.479790\pi\) |
−0.233531 | + | 0.972349i | \(0.575028\pi\) | |||||||
\(200\) | −14.0344 | − | 21.7848i | −0.992382 | − | 1.54042i | ||||
\(201\) | −13.8634 | + | 5.44098i | −0.977849 | + | 0.383777i | ||||
\(202\) | −11.3169 | + | 12.6010i | −0.796253 | + | 0.886601i | ||||
\(203\) | −2.14213 | + | 16.5514i | −0.150348 | + | 1.16168i | ||||
\(204\) | 13.4332 | + | 4.77492i | 0.940514 | + | 0.334312i | ||||
\(205\) | −4.87300 | − | 1.50312i | −0.340345 | − | 0.104983i | ||||
\(206\) | −1.46950 | + | 6.95708i | −0.102385 | + | 0.484722i | ||||
\(207\) | −2.62279 | − | 8.50287i | −0.182296 | − | 0.590990i | ||||
\(208\) | −9.70812 | + | 6.47965i | −0.673137 | + | 0.449283i | ||||
\(209\) | 0.611257 | + | 0.139515i | 0.0422815 | + | 0.00965048i | ||||
\(210\) | 11.3316 | − | 8.35838i | 0.781957 | − | 0.576783i | ||||
\(211\) | −13.6787 | + | 3.12206i | −0.941677 | + | 0.214932i | −0.665689 | − | 0.746229i | \(-0.731862\pi\) |
−0.275988 | + | 0.961161i | \(0.589005\pi\) | |||||||
\(212\) | 12.1237 | − | 6.33133i | 0.832659 | − | 0.434837i | ||||
\(213\) | −5.76077 | + | 8.44950i | −0.394722 | + | 0.578950i | ||||
\(214\) | 20.7411 | − | 17.0987i | 1.41783 | − | 1.16884i | ||||
\(215\) | 9.71971 | − | 16.8350i | 0.662879 | − | 1.14814i | ||||
\(216\) | −1.65374 | + | 2.29459i | −0.112523 | + | 0.156127i | ||||
\(217\) | 22.5216 | + | 1.21526i | 1.52887 | + | 0.0824969i | ||||
\(218\) | 11.7829 | + | 3.42606i | 0.798039 | + | 0.232042i | ||||
\(219\) | 0.731446 | + | 1.07283i | 0.0494265 | + | 0.0724954i | ||||
\(220\) | 1.68329 | − | 3.14729i | 0.113487 | − | 0.212190i | ||||
\(221\) | −15.2477 | + | 14.1478i | −1.02567 | + | 0.951683i | ||||
\(222\) | −4.92773 | + | 4.72344i | −0.330728 | + | 0.317017i | ||||
\(223\) | −14.9992 | − | 7.22322i | −1.00442 | − | 0.483703i | −0.141983 | − | 0.989869i | \(-0.545348\pi\) |
−0.862436 | + | 0.506166i | \(0.831062\pi\) | |||||||
\(224\) | −5.08598 | + | 14.0760i | −0.339821 | + | 0.940490i | ||||
\(225\) | 8.25471 | − | 3.97526i | 0.550314 | − | 0.265017i | ||||
\(226\) | −5.11609 | + | 13.6848i | −0.340317 | + | 0.910300i | ||||
\(227\) | −12.3603 | − | 21.4087i | −0.820382 | − | 1.42094i | −0.905398 | − | 0.424563i | \(-0.860428\pi\) |
0.0850164 | − | 0.996380i | \(-0.472906\pi\) | |||||||
\(228\) | −2.55078 | − | 0.696970i | −0.168929 | − | 0.0461580i | ||||
\(229\) | −2.41233 | − | 16.0048i | −0.159411 | − | 1.05762i | −0.915256 | − | 0.402873i | \(-0.868012\pi\) |
0.755845 | − | 0.654751i | \(-0.227227\pi\) | |||||||
\(230\) | −18.0147 | − | 43.7962i | −1.18785 | − | 2.88784i | ||||
\(231\) | 1.14153 | + | 0.520638i | 0.0751068 | + | 0.0342554i | ||||
\(232\) | −4.81238 | − | 17.1805i | −0.315948 | − | 1.12796i | ||||
\(233\) | 0.870998 | − | 11.6227i | 0.0570610 | − | 0.761426i | −0.893138 | − | 0.449783i | \(-0.851501\pi\) |
0.950199 | − | 0.311644i | \(-0.100879\pi\) | |||||||
\(234\) | −1.85061 | − | 3.68842i | −0.120978 | − | 0.241120i | ||||
\(235\) | 11.4268 | + | 4.48469i | 0.745402 | + | 0.292549i | ||||
\(236\) | 5.49773 | − | 0.178584i | 0.357872 | − | 0.0116249i | ||||
\(237\) | 7.19220 | + | 5.73559i | 0.467184 | + | 0.372566i | ||||
\(238\) | −4.96569 | + | 26.2054i | −0.321878 | + | 1.69864i | ||||
\(239\) | 2.89334 | − | 2.30736i | 0.187155 | − | 0.149251i | −0.525430 | − | 0.850837i | \(-0.676096\pi\) |
0.712585 | + | 0.701586i | \(0.247524\pi\) | |||||||
\(240\) | −7.65462 | + | 12.9615i | −0.494103 | + | 0.836659i | ||||
\(241\) | −3.96047 | + | 0.296796i | −0.255116 | + | 0.0191183i | −0.201674 | − | 0.979453i | \(-0.564638\pi\) |
−0.0534418 | + | 0.998571i | \(0.517019\pi\) | |||||||
\(242\) | −15.2363 | + | 0.247397i | −0.979427 | + | 0.0159033i | ||||
\(243\) | −0.733052 | − | 0.680173i | −0.0470253 | − | 0.0436331i | ||||
\(244\) | 1.76863 | + | 5.13550i | 0.113225 | + | 0.328767i | ||||
\(245\) | 18.7086 | + | 18.5453i | 1.19525 | + | 1.18481i | ||||
\(246\) | 0.316351 | + | 1.89010i | 0.0201698 | + | 0.120508i | ||||
\(247\) | 2.62409 | − | 2.82810i | 0.166967 | − | 0.179948i | ||||
\(248\) | −22.6671 | + | 8.22041i | −1.43936 | + | 0.521996i | ||||
\(249\) | −1.02167 | − | 13.6332i | −0.0647456 | − | 0.863969i | ||||
\(250\) | 19.0006 | − | 11.3852i | 1.20170 | − | 0.720066i | ||||
\(251\) | −0.196904 | − | 0.246910i | −0.0124285 | − | 0.0155848i | 0.775578 | − | 0.631251i | \(-0.217458\pi\) |
−0.788007 | + | 0.615666i | \(0.788887\pi\) | |||||||
\(252\) | −4.71717 | − | 2.39755i | −0.297154 | − | 0.151032i | ||||
\(253\) | 2.63090 | − | 3.29904i | 0.165403 | − | 0.207409i | ||||
\(254\) | −0.307587 | + | 2.29269i | −0.0192997 | + | 0.143856i | ||||
\(255\) | −9.80050 | + | 24.9713i | −0.613731 | + | 1.56376i | ||||
\(256\) | −0.880955 | − | 15.9757i | −0.0550597 | − | 0.998483i | ||||
\(257\) | −17.4662 | − | 1.30891i | −1.08951 | − | 0.0816474i | −0.482160 | − | 0.876083i | \(-0.660148\pi\) |
−0.607348 | + | 0.794436i | \(0.707767\pi\) | |||||||
\(258\) | −7.29273 | − | 0.427580i | −0.454025 | − | 0.0266199i | ||||
\(259\) | −10.1483 | − | 7.75175i | −0.630583 | − | 0.481670i | ||||
\(260\) | −11.5928 | − | 18.6532i | −0.718954 | − | 1.15683i | ||||
\(261\) | 6.23757 | − | 0.940163i | 0.386096 | − | 0.0581946i | ||||
\(262\) | −12.2538 | − | 5.65789i | −0.757040 | − | 0.349546i | ||||
\(263\) | −10.5460 | + | 6.08875i | −0.650296 | + | 0.375449i | −0.788570 | − | 0.614945i | \(-0.789178\pi\) |
0.138273 | + | 0.990394i | \(0.455845\pi\) | |||||||
\(264\) | −1.34082 | − | 0.0349927i | −0.0825217 | − | 0.00215365i | ||||
\(265\) | 11.1663 | + | 23.1870i | 0.685939 | + | 1.42437i | ||||
\(266\) | 0.555223 | − | 4.91575i | 0.0340429 | − | 0.301404i | ||||
\(267\) | 3.79892 | − | 7.88853i | 0.232490 | − | 0.482770i | ||||
\(268\) | 23.8781 | + | 17.8053i | 1.45859 | + | 1.08763i | ||||
\(269\) | 8.04627 | + | 8.67181i | 0.490589 | + | 0.528730i | 0.929017 | − | 0.370037i | \(-0.120655\pi\) |
−0.438428 | + | 0.898767i | \(0.644464\pi\) | |||||||
\(270\) | −4.21426 | − | 3.25024i | −0.256472 | − | 0.197804i | ||||
\(271\) | −15.8096 | + | 10.7788i | −0.960364 | + | 0.654765i | −0.938603 | − | 0.344998i | \(-0.887880\pi\) |
−0.0217606 | + | 0.999763i | \(0.506927\pi\) | |||||||
\(272\) | −6.07051 | − | 27.8596i | −0.368079 | − | 1.68923i | ||||
\(273\) | 6.28652 | − | 4.48128i | 0.380477 | − | 0.271219i | ||||
\(274\) | −9.11100 | + | 6.43091i | −0.550416 | + | 0.388505i | ||||
\(275\) | 3.76267 | + | 2.17238i | 0.226897 | + | 0.130999i | ||||
\(276\) | −11.6747 | + | 13.4318i | −0.702734 | + | 0.808499i | ||||
\(277\) | −15.8836 | − | 10.8292i | −0.954350 | − | 0.650665i | −0.0172965 | − | 0.999850i | \(-0.505506\pi\) |
−0.937054 | + | 0.349186i | \(0.886458\pi\) | |||||||
\(278\) | −15.0985 | + | 4.92711i | −0.905548 | + | 0.295508i | ||||
\(279\) | −1.89694 | − | 8.31102i | −0.113567 | − | 0.497568i | ||||
\(280\) | −26.1610 | − | 10.4247i | −1.56342 | − | 0.622997i | ||||
\(281\) | −5.95740 | + | 26.1011i | −0.355388 | + | 1.55706i | 0.409142 | + | 0.912471i | \(0.365828\pi\) |
−0.764530 | + | 0.644588i | \(0.777029\pi\) | |||||||
\(282\) | −0.419370 | − | 4.59392i | −0.0249731 | − | 0.273564i | ||||
\(283\) | −10.6888 | + | 3.29705i | −0.635382 | + | 0.195989i | −0.595680 | − | 0.803222i | \(-0.703117\pi\) |
−0.0397024 | + | 0.999212i | \(0.512641\pi\) | |||||||
\(284\) | 20.4346 | + | 0.865472i | 1.21257 | + | 0.0513563i | ||||
\(285\) | 1.46657 | − | 4.75450i | 0.0868721 | − | 0.281632i | ||||
\(286\) | 0.950810 | − | 1.71039i | 0.0562226 | − | 0.101138i | ||||
\(287\) | −3.40314 | + | 1.12811i | −0.200881 | + | 0.0665902i | ||||
\(288\) | 5.64362 | + | 0.386740i | 0.332553 | + | 0.0227889i | ||||
\(289\) | −12.3532 | − | 31.4755i | −0.726661 | − | 1.85150i | ||||
\(290\) | 32.6043 | − | 8.00077i | 1.91459 | − | 0.469821i | ||||
\(291\) | 1.17912 | − | 7.82292i | 0.0691210 | − | 0.458588i | ||||
\(292\) | 1.05020 | − | 2.37508i | 0.0614584 | − | 0.138991i | ||||
\(293\) | 19.1982i | 1.12157i | 0.827962 | + | 0.560785i | \(0.189501\pi\) | ||||
−0.827962 | + | 0.560785i | \(0.810499\pi\) | |||||||
\(294\) | 3.07623 | − | 9.40940i | 0.179409 | − | 0.548767i | ||||
\(295\) | 10.3501i | 0.602608i | ||||||||
\(296\) | 13.2258 | + | 3.38403i | 0.768735 | + | 0.196693i | ||||
\(297\) | 0.0706777 | − | 0.468916i | 0.00410114 | − | 0.0272093i | ||||
\(298\) | −5.06200 | − | 20.6284i | −0.293234 | − | 1.19497i | ||||
\(299\) | −9.48598 | − | 24.1699i | −0.548589 | − | 1.39778i | ||||
\(300\) | −15.4672 | − | 9.82534i | −0.893000 | − | 0.567266i | ||||
\(301\) | −1.30582 | − | 13.6044i | −0.0752663 | − | 0.784142i | ||||
\(302\) | −6.62119 | − | 3.68073i | −0.381007 | − | 0.211802i | ||||
\(303\) | −3.53003 | + | 11.4441i | −0.202795 | + | 0.657445i | ||||
\(304\) | 1.50895 | + | 5.06873i | 0.0865442 | + | 0.290712i | ||||
\(305\) | −9.76603 | + | 3.01242i | −0.559201 | + | 0.172491i | ||||
\(306\) | 10.0392 | − | 0.916461i | 0.573904 | − | 0.0523906i | ||||
\(307\) | 0.663352 | − | 2.90633i | 0.0378595 | − | 0.165873i | −0.952464 | − | 0.304651i | \(-0.901460\pi\) |
0.990324 | + | 0.138778i | \(0.0443173\pi\) | |||||||
\(308\) | −0.320723 | − | 2.48872i | −0.0182749 | − | 0.141808i | ||||
\(309\) | 1.11882 | + | 4.90188i | 0.0636475 | + | 0.278858i | ||||
\(310\) | −14.0749 | − | 43.1306i | −0.799398 | − | 2.44965i | ||||
\(311\) | −1.63004 | − | 1.11134i | −0.0924308 | − | 0.0630183i | 0.516223 | − | 0.856454i | \(-0.327338\pi\) |
−0.608654 | + | 0.793436i | \(0.708290\pi\) | |||||||
\(312\) | −4.31171 | + | 7.03746i | −0.244103 | + | 0.398418i | ||||
\(313\) | −23.8187 | − | 13.7517i | −1.34631 | − | 0.777294i | −0.358587 | − | 0.933496i | \(-0.616741\pi\) |
−0.987725 | + | 0.156202i | \(0.950075\pi\) | |||||||
\(314\) | 8.73499 | + | 12.3753i | 0.492944 | + | 0.698379i | ||||
\(315\) | 4.79709 | − | 8.72481i | 0.270285 | − | 0.491587i | ||||
\(316\) | 2.15003 | − | 18.2723i | 0.120949 | − | 1.02790i | ||||
\(317\) | 1.59768 | − | 1.08928i | 0.0897345 | − | 0.0611799i | −0.517622 | − | 0.855610i | \(-0.673183\pi\) |
0.607356 | + | 0.794430i | \(0.292230\pi\) | |||||||
\(318\) | 5.90643 | − | 7.65826i | 0.331216 | − | 0.429454i | ||||
\(319\) | 2.03463 | + | 2.19281i | 0.113918 | + | 0.122774i | ||||
\(320\) | 30.0983 | − | 0.680811i | 1.68255 | − | 0.0380585i | ||||
\(321\) | 8.24697 | − | 17.1250i | 0.460301 | − | 0.955825i | ||||
\(322\) | −28.1860 | − | 17.7211i | −1.57075 | − | 0.987559i | ||||
\(323\) | 4.08920 | + | 8.49132i | 0.227529 | + | 0.472469i | ||||
\(324\) | −0.381503 | + | 1.96328i | −0.0211946 | + | 0.109071i | ||||
\(325\) | 23.1529 | − | 13.3673i | 1.28429 | − | 0.741485i | ||||
\(326\) | −5.05848 | + | 10.9556i | −0.280163 | + | 0.606772i | ||||
\(327\) | 8.57992 | − | 1.29321i | 0.474471 | − | 0.0715149i | ||||
\(328\) | 2.87669 | − | 2.53277i | 0.158839 | − | 0.139849i | ||||
\(329\) | 8.37185 | − | 2.09575i | 0.461555 | − | 0.115542i | ||||
\(330\) | 0.147718 | − | 2.51945i | 0.00813160 | − | 0.138691i | ||||
\(331\) | 18.0945 | + | 1.35599i | 0.994563 | + | 0.0745322i | 0.562057 | − | 0.827099i | \(-0.310010\pi\) |
0.432506 | + | 0.901631i | \(0.357629\pi\) | |||||||
\(332\) | −22.0798 | + | 16.1281i | −1.21178 | + | 0.885146i | ||||
\(333\) | −1.76338 | + | 4.49302i | −0.0966326 | + | 0.246216i | ||||
\(334\) | 11.5946 | + | 1.55554i | 0.634430 | + | 0.0851152i | ||||
\(335\) | −34.9439 | + | 43.8183i | −1.90919 | + | 2.39405i | ||||
\(336\) | 0.907291 | + | 10.5440i | 0.0494968 | + | 0.575225i | ||||
\(337\) | −3.50992 | − | 4.40130i | −0.191198 | − | 0.239754i | 0.676988 | − | 0.735994i | \(-0.263285\pi\) |
−0.868185 | + | 0.496240i | \(0.834714\pi\) | |||||||
\(338\) | 3.26043 | + | 5.44126i | 0.177344 | + | 0.295965i | ||||
\(339\) | 0.772017 | + | 10.3019i | 0.0419302 | + | 0.559520i | ||||
\(340\) | 52.7644 | − | 9.71448i | 2.86155 | − | 0.526842i | ||||
\(341\) | 2.74963 | − | 2.96340i | 0.148901 | − | 0.160477i | ||||
\(342\) | −1.84414 | + | 0.308659i | −0.0997197 | + | 0.0166904i | ||||
\(343\) | 18.2786 | + | 2.98209i | 0.986952 | + | 0.161018i | ||||
\(344\) | 6.97266 | + | 12.8393i | 0.375941 | + | 0.692251i | ||||
\(345\) | −24.5471 | − | 22.7763i | −1.32157 | − | 1.22624i | ||||
\(346\) | 0.123020 | + | 7.57634i | 0.00661358 | + | 0.407307i | ||||
\(347\) | −22.6996 | + | 1.70110i | −1.21858 | + | 0.0913199i | −0.668449 | − | 0.743758i | \(-0.733041\pi\) |
−0.550131 | + | 0.835078i | \(0.685422\pi\) | |||||||
\(348\) | −8.18207 | − | 9.60305i | −0.438605 | − | 0.514778i | ||||
\(349\) | −2.92319 | + | 2.33117i | −0.156475 | + | 0.124785i | −0.698598 | − | 0.715515i | \(-0.746192\pi\) |
0.542123 | + | 0.840299i | \(0.317621\pi\) | |||||||
\(350\) | 13.7173 | − | 31.4171i | 0.733221 | − | 1.67932i | ||||
\(351\) | −2.28137 | − | 1.81933i | −0.121770 | − | 0.0971086i | ||||
\(352\) | 1.35607 | + | 2.31455i | 0.0722788 | + | 0.123366i | ||||
\(353\) | 23.4814 | + | 9.21577i | 1.24979 | + | 0.490506i | 0.895680 | − | 0.444698i | \(-0.146689\pi\) |
0.354108 | + | 0.935204i | \(0.384784\pi\) | |||||||
\(354\) | 3.47649 | − | 1.74428i | 0.184773 | − | 0.0927073i | ||||
\(355\) | −2.87597 | + | 38.3771i | −0.152640 | + | 2.03685i | ||||
\(356\) | −17.4106 | + | 1.87486i | −0.922758 | + | 0.0993672i | ||||
\(357\) | 4.57990 | + | 18.2952i | 0.242394 | + | 0.968285i | ||||
\(358\) | 12.7374 | − | 5.23928i | 0.673194 | − | 0.276905i | ||||
\(359\) | 3.60933 | + | 23.9463i | 0.190493 | + | 1.26384i | 0.855815 | + | 0.517282i | \(0.173056\pi\) |
−0.665322 | + | 0.746557i | \(0.731706\pi\) | |||||||
\(360\) | −1.07208 | + | 10.5899i | −0.0565036 | + | 0.558139i | ||||
\(361\) | 8.62597 | + | 14.9406i | 0.453998 | + | 0.786348i | ||||
\(362\) | 2.84755 | + | 1.06456i | 0.149664 | + | 0.0559520i | ||||
\(363\) | −9.70805 | + | 4.67515i | −0.509540 | + | 0.245382i | ||||
\(364\) | −14.2489 | − | 5.94782i | −0.746847 | − | 0.311750i | ||||
\(365\) | 4.40250 | + | 2.12013i | 0.230438 | + | 0.110973i | ||||
\(366\) | 2.65768 | + | 2.77262i | 0.138919 | + | 0.144927i | ||||
\(367\) | 2.17379 | − | 2.01698i | 0.113471 | − | 0.105286i | −0.621397 | − | 0.783496i | \(-0.713435\pi\) |
0.734868 | + | 0.678210i | \(0.237244\pi\) | |||||||
\(368\) | 35.1412 | + | 5.65145i | 1.83186 | + | 0.294602i | ||||
\(369\) | 0.763352 | + | 1.11963i | 0.0397385 | + | 0.0582857i | ||||
\(370\) | −7.17207 | + | 24.6662i | −0.372858 | + | 1.28233i | ||||
\(371\) | 15.8549 | + | 8.71739i | 0.823148 | + | 0.452584i | ||||
\(372\) | −12.1151 | + | 11.9963i | −0.628138 | + | 0.621977i | ||||
\(373\) | 14.2373 | − | 24.6597i | 0.737178 | − | 1.27683i | −0.216583 | − | 0.976264i | \(-0.569491\pi\) |
0.953761 | − | 0.300566i | \(-0.0971755\pi\) | |||||||
\(374\) | 3.04089 | + | 3.68868i | 0.157241 | + | 0.190737i | ||||
\(375\) | 8.82316 | − | 12.9412i | 0.455626 | − | 0.668281i | ||||
\(376\) | −7.36083 | + | 5.56220i | −0.379606 | + | 0.286849i | ||||
\(377\) | 17.9452 | − | 4.09587i | 0.924225 | − | 0.210948i | ||||
\(378\) | −3.73900 | − | 0.140920i | −0.192314 | − | 0.00724813i | ||||
\(379\) | −11.1834 | − | 2.55255i | −0.574454 | − | 0.131115i | −0.0745826 | − | 0.997215i | \(-0.523762\pi\) |
−0.499872 | + | 0.866099i | \(0.666620\pi\) | |||||||
\(380\) | −9.62460 | + | 2.52813i | −0.493732 | + | 0.129691i | ||||
\(381\) | 0.482131 | + | 1.56303i | 0.0247003 | + | 0.0800764i | ||||
\(382\) | −5.61390 | − | 1.18579i | −0.287232 | − | 0.0606702i | ||||
\(383\) | −5.67565 | − | 1.75071i | −0.290012 | − | 0.0894569i | 0.146336 | − | 0.989235i | \(-0.453252\pi\) |
−0.436348 | + | 0.899778i | \(0.643728\pi\) | |||||||
\(384\) | −5.30106 | − | 9.99494i | −0.270518 | − | 0.510052i | ||||
\(385\) | 4.69995 | − | 0.451128i | 0.239532 | − | 0.0229916i | ||||
\(386\) | 1.76908 | + | 1.58881i | 0.0900439 | + | 0.0808681i | ||||
\(387\) | −4.80852 | + | 1.88720i | −0.244431 | + | 0.0959319i | ||||
\(388\) | −14.5334 | + | 6.25577i | −0.737820 | + | 0.317589i | ||||
\(389\) | −16.6850 | − | 2.51486i | −0.845965 | − | 0.127509i | −0.288264 | − | 0.957551i | \(-0.593078\pi\) |
−0.557700 | + | 0.830042i | \(0.688316\pi\) | |||||||
\(390\) | −12.9715 | − | 8.53866i | −0.656837 | − | 0.432372i | ||||
\(391\) | 63.4291 | 3.20775 | ||||||||
\(392\) | −19.2311 | + | 4.70805i | −0.971316 | + | 0.237793i | ||||
\(393\) | −9.54375 | −0.481419 | ||||||||
\(394\) | −0.261438 | − | 0.172095i | −0.0131710 | − | 0.00867002i | ||||
\(395\) | 34.2321 | + | 5.15966i | 1.72240 | + | 0.259611i | ||||
\(396\) | −0.871149 | + | 0.374979i | −0.0437769 | + | 0.0188434i | ||||
\(397\) | −9.81704 | + | 3.85290i | −0.492703 | + | 0.193372i | −0.598667 | − | 0.800998i | \(-0.704303\pi\) |
0.105964 | + | 0.994370i | \(0.466207\pi\) | |||||||
\(398\) | 2.55300 | + | 2.29284i | 0.127970 | + | 0.114930i | ||||
\(399\) | −1.10068 | − | 3.32038i | −0.0551028 | − | 0.166227i | ||||
\(400\) | −0.361203 | + | 36.6464i | −0.0180601 | + | 1.83232i | ||||
\(401\) | −31.1196 | − | 9.59912i | −1.55404 | − | 0.479357i | −0.605454 | − | 0.795881i | \(-0.707008\pi\) |
−0.948585 | + | 0.316523i | \(0.897484\pi\) | |||||||
\(402\) | 20.6071 | + | 4.35269i | 1.02779 | + | 0.217092i | ||||
\(403\) | −7.33205 | − | 23.7699i | −0.365235 | − | 1.18406i | ||||
\(404\) | 23.1664 | − | 6.08522i | 1.15257 | − | 0.302751i | ||||
\(405\) | −3.66890 | − | 0.837402i | −0.182309 | − | 0.0416108i | ||||
\(406\) | 15.4005 | − | 17.8858i | 0.764312 | − | 0.887659i | ||||
\(407\) | −2.23148 | + | 0.509321i | −0.110610 | + | 0.0252461i | ||||
\(408\) | −12.1552 | − | 16.0858i | −0.601773 | − | 0.796367i | ||||
\(409\) | 14.8750 | − | 21.8177i | 0.735524 | − | 1.07882i | −0.258105 | − | 0.966117i | \(-0.583098\pi\) |
0.993629 | − | 0.112698i | \(-0.0359494\pi\) | |||||||
\(410\) | 4.58747 | + | 5.56472i | 0.226559 | + | 0.274822i | ||||
\(411\) | −3.94282 | + | 6.82917i | −0.194485 | + | 0.336858i | ||||
\(412\) | 7.14553 | − | 7.07545i | 0.352035 | − | 0.348582i | ||||
\(413\) | 4.22379 | + | 5.92531i | 0.207839 | + | 0.291565i | ||||
\(414\) | −3.51347 | + | 12.0835i | −0.172678 | + | 0.593872i | ||||
\(415\) | −28.9823 | − | 42.5092i | −1.42268 | − | 2.08669i | ||||
\(416\) | 16.5062 | − | 0.105308i | 0.809285 | − | 0.00516315i | ||||
\(417\) | −8.23242 | + | 7.63857i | −0.403143 | + | 0.374062i | ||||
\(418\) | −0.613568 | − | 0.640105i | −0.0300106 | − | 0.0313085i | ||||
\(419\) | −30.4114 | − | 14.6453i | −1.48569 | − | 0.715472i | −0.497327 | − | 0.867563i | \(-0.665685\pi\) |
−0.988366 | + | 0.152091i | \(0.951399\pi\) | |||||||
\(420\) | −19.8849 | + | 1.06215i | −0.970283 | + | 0.0518278i | ||||
\(421\) | 3.10467 | − | 1.49513i | 0.151313 | − | 0.0728683i | −0.356695 | − | 0.934221i | \(-0.616096\pi\) |
0.508008 | + | 0.861353i | \(0.330382\pi\) | |||||||
\(422\) | 18.5857 | + | 6.94828i | 0.904736 | + | 0.338237i | ||||
\(423\) | −1.63095 | − | 2.82489i | −0.0792995 | − | 0.137351i | ||||
\(424\) | −19.2443 | − | 1.94821i | −0.934587 | − | 0.0946135i | ||||
\(425\) | 9.73394 | + | 64.5805i | 0.472165 | + | 3.13261i | ||||
\(426\) | 13.3751 | − | 5.50158i | 0.648026 | − | 0.266553i | ||||
\(427\) | −4.36158 | + | 5.71000i | −0.211072 | + | 0.276326i | ||||
\(428\) | −37.7962 | + | 4.07008i | −1.82695 | + | 0.196735i | ||||
\(429\) | 0.103407 | − | 1.37987i | 0.00499255 | − | 0.0666209i | ||||
\(430\) | −24.5721 | + | 12.3287i | −1.18497 | + | 0.594541i | ||||
\(431\) | 14.7611 | + | 5.79330i | 0.711017 | + | 0.279053i | 0.693157 | − | 0.720787i | \(-0.256219\pi\) |
0.0178600 | + | 0.999840i | \(0.494315\pi\) | |||||||
\(432\) | 3.73772 | − | 1.42459i | 0.179831 | − | 0.0685408i | ||||
\(433\) | −6.07248 | − | 4.84264i | −0.291825 | − | 0.232723i | 0.466623 | − | 0.884456i | \(-0.345471\pi\) |
−0.758448 | + | 0.651734i | \(0.774042\pi\) | |||||||
\(434\) | −25.6589 | − | 18.9479i | −1.23167 | − | 0.909527i | ||||
\(435\) | 18.5597 | − | 14.8008i | 0.889867 | − | 0.709645i | ||||
\(436\) | −11.2546 | − | 13.2092i | −0.538999 | − | 0.632607i | ||||
\(437\) | −11.7318 | + | 0.879176i | −0.561207 | + | 0.0420567i | ||||
\(438\) | −0.0298126 | − | 1.83605i | −0.00142450 | − | 0.0877299i | ||||
\(439\) | −13.2056 | − | 12.2530i | −0.630267 | − | 0.584802i | 0.298981 | − | 0.954259i | \(-0.403353\pi\) |
−0.929248 | + | 0.369457i | \(0.879544\pi\) | |||||||
\(440\) | −4.43567 | + | 2.40887i | −0.211462 | + | 0.114839i | ||||
\(441\) | −0.814247 | − | 6.95248i | −0.0387737 | − | 0.331071i | ||||
\(442\) | 29.0125 | − | 4.85589i | 1.37998 | − | 0.230971i | ||||
\(443\) | 1.98605 | − | 2.14046i | 0.0943602 | − | 0.101696i | −0.684106 | − | 0.729382i | \(-0.739807\pi\) |
0.778466 | + | 0.627686i | \(0.215998\pi\) | |||||||
\(444\) | 9.49377 | − | 1.74790i | 0.450555 | − | 0.0829518i | ||||
\(445\) | −2.46232 | − | 32.8574i | −0.116725 | − | 1.55759i | ||||
\(446\) | 12.1013 | + | 20.1955i | 0.573011 | + | 0.956286i | ||||
\(447\) | −9.36433 | − | 11.7425i | −0.442917 | − | 0.555401i | ||||
\(448\) | 16.9530 | − | 12.6726i | 0.800956 | − | 0.598724i | ||||
\(449\) | 21.7887 | − | 27.3221i | 1.02827 | − | 1.28941i | 0.0718513 | − | 0.997415i | \(-0.477109\pi\) |
0.956420 | − | 0.291996i | \(-0.0943193\pi\) | |||||||
\(450\) | −12.8420 | − | 1.72289i | −0.605379 | − | 0.0812177i | ||||
\(451\) | −0.234769 | + | 0.598182i | −0.0110549 | + | 0.0281673i | ||||
\(452\) | 16.6844 | − | 12.1871i | 0.784770 | − | 0.573235i | ||||
\(453\) | −5.34170 | − | 0.400305i | −0.250975 | − | 0.0188080i | ||||
\(454\) | −2.04624 | + | 34.9003i | −0.0960346 | + | 1.63795i | ||||
\(455\) | 12.0561 | − | 26.4337i | 0.565199 | − | 1.23923i | ||||
\(456\) | 2.47118 | + | 2.80673i | 0.115724 | + | 0.131437i | ||||
\(457\) | −6.01794 | + | 0.907058i | −0.281507 | + | 0.0424304i | −0.288278 | − | 0.957547i | \(-0.593083\pi\) |
0.00677095 | + | 0.999977i | \(0.497845\pi\) | |||||||
\(458\) | −9.59539 | + | 20.7815i | −0.448363 | + | 0.971057i | ||||
\(459\) | 6.17330 | − | 3.56416i | 0.288145 | − | 0.166361i | ||||
\(460\) | −12.7751 | + | 65.7425i | −0.595640 | + | 3.06526i | ||||
\(461\) | −3.02414 | − | 6.27970i | −0.140848 | − | 0.292475i | 0.818597 | − | 0.574368i | \(-0.194752\pi\) |
−0.959446 | + | 0.281893i | \(0.909038\pi\) | |||||||
\(462\) | −0.943599 | − | 1.50263i | −0.0439002 | − | 0.0699089i | ||||
\(463\) | −9.42073 | + | 19.5623i | −0.437818 | + | 0.909139i | 0.558980 | + | 0.829181i | \(0.311193\pi\) |
−0.996798 | + | 0.0799578i | \(0.974521\pi\) | |||||||
\(464\) | −7.67457 | + | 24.0367i | −0.356283 | + | 1.11587i | ||||
\(465\) | −21.8205 | − | 23.5169i | −1.01190 | − | 1.09057i | ||||
\(466\) | −10.0664 | + | 13.0521i | −0.466318 | + | 0.604627i | ||||
\(467\) | 19.3099 | − | 13.1653i | 0.893558 | − | 0.609217i | −0.0270807 | − | 0.999633i | \(-0.508621\pi\) |
0.920639 | + | 0.390416i | \(0.127669\pi\) | |||||||
\(468\) | −0.681991 | + | 5.79597i | −0.0315250 | + | 0.267919i | ||||
\(469\) | −2.12307 | + | 39.3457i | −0.0980344 | + | 1.81681i | ||||
\(470\) | −10.0108 | − | 14.1828i | −0.461763 | − | 0.654204i | ||||
\(471\) | 9.27595 | + | 5.35547i | 0.427413 | + | 0.246767i | ||||
\(472\) | −6.63311 | − | 4.06397i | −0.305313 | − | 0.187059i | ||||
\(473\) | −2.02395 | − | 1.37990i | −0.0930611 | − | 0.0634480i | ||||
\(474\) | −4.03597 | − | 12.3677i | −0.185378 | − | 0.568068i | ||||
\(475\) | −2.69551 | − | 11.8098i | −0.123679 | − | 0.541871i | ||||
\(476\) | 26.2425 | − | 27.0941i | 1.20282 | − | 1.24186i | ||||
\(477\) | 1.52175 | − | 6.66722i | 0.0696761 | − | 0.305271i | ||||
\(478\) | −5.21194 | + | 0.475788i | −0.238389 | + | 0.0217620i | ||||
\(479\) | −15.1731 | + | 4.68028i | −0.693276 | + | 0.213847i | −0.621316 | − | 0.783560i | \(-0.713402\pi\) |
−0.0719601 | + | 0.997408i | \(0.522925\pi\) | |||||||
\(480\) | 19.1206 | − | 9.35876i | 0.872734 | − | 0.427167i | ||||
\(481\) | −4.15136 | + | 13.4584i | −0.189286 | + | 0.613650i | ||||
\(482\) | 4.90911 | + | 2.72898i | 0.223604 | + | 0.124302i | ||||
\(483\) | −23.3477 | − | 3.02172i | −1.06236 | − | 0.137493i | ||||
\(484\) | 18.1904 | + | 11.5552i | 0.826836 | + | 0.525237i | ||||
\(485\) | −10.8770 | − | 27.7141i | −0.493898 | − | 1.25843i | ||||
\(486\) | 0.337035 | + | 1.37347i | 0.0152882 | + | 0.0623017i | ||||
\(487\) | −4.18248 | + | 27.7490i | −0.189526 | + | 1.25743i | 0.668458 | + | 0.743750i | \(0.266955\pi\) |
−0.857984 | + | 0.513676i | \(0.828283\pi\) | |||||||
\(488\) | 1.90405 | − | 7.44160i | 0.0861922 | − | 0.336865i | ||||
\(489\) | 8.53266i | 0.385860i | ||||||||
\(490\) | −7.67931 | − | 36.4542i | −0.346916 | − | 1.64683i | ||||
\(491\) | − | 30.5004i | − | 1.37646i | −0.725491 | − | 0.688232i | \(-0.758387\pi\) | ||
0.725491 | − | 0.688232i | \(-0.241613\pi\) | |||||||
\(492\) | 1.09601 | − | 2.47869i | 0.0494120 | − | 0.111748i | ||||
\(493\) | −6.70178 | + | 44.4634i | −0.301833 | + | 2.00253i | ||||
\(494\) | −5.29881 | + | 1.30028i | −0.238405 | + | 0.0585022i | ||||
\(495\) | −0.651980 | − | 1.66122i | −0.0293043 | − | 0.0746662i | ||||
\(496\) | 33.1677 | + | 7.91503i | 1.48927 | + | 0.355395i | ||||
\(497\) | 14.0149 | + | 23.1440i | 0.628654 | + | 1.03815i | ||||
\(498\) | −9.39405 | + | 16.8988i | −0.420957 | + | 0.757252i | ||||
\(499\) | 1.07968 | − | 3.50024i | 0.0483331 | − | 0.156692i | −0.928189 | − | 0.372109i | \(-0.878635\pi\) |
0.976522 | + | 0.215417i | \(0.0691110\pi\) | |||||||
\(500\) | −31.2975 | − | 1.32555i | −1.39967 | − | 0.0592805i | ||||
\(501\) | 7.90459 | − | 2.43824i | 0.353151 | − | 0.108933i | ||||
\(502\) | 0.0406025 | + | 0.444773i | 0.00181218 | + | 0.0198512i | ||||
\(503\) | 1.86844 | − | 8.18615i | 0.0833094 | − | 0.365002i | −0.916039 | − | 0.401089i | \(-0.868632\pi\) |
0.999349 | + | 0.0360862i | \(0.0114891\pi\) | |||||||
\(504\) | 3.70791 | + | 6.50011i | 0.165163 | + | 0.289538i | ||||
\(505\) | 10.0288 | + | 43.9392i | 0.446278 | + | 1.95527i | ||||
\(506\) | −5.67304 | + | 1.85129i | −0.252197 | + | 0.0822998i | ||||
\(507\) | 3.70601 | + | 2.52672i | 0.164590 | + | 0.112215i | ||||
\(508\) | 2.14609 | − | 2.46908i | 0.0952171 | − | 0.109548i | ||||
\(509\) | −9.60795 | − | 5.54715i | −0.425865 | − | 0.245873i | 0.271719 | − | 0.962377i | \(-0.412408\pi\) |
−0.697583 | + | 0.716504i | \(0.745741\pi\) | |||||||
\(510\) | 30.9941 | − | 21.8768i | 1.37244 | − | 0.968723i | ||||
\(511\) | 3.38558 | − | 0.582874i | 0.149769 | − | 0.0257848i | ||||
\(512\) | −11.3818 | + | 19.5565i | −0.503008 | + | 0.864282i | ||||
\(513\) | −1.09241 | + | 0.744789i | −0.0482309 | + | 0.0328833i | ||||
\(514\) | 19.6142 | + | 15.1275i | 0.865147 | + | 0.667244i | ||||
\(515\) | 12.8698 | + | 13.8704i | 0.567111 | + | 0.611201i | ||||
\(516\) | 8.28212 | + | 6.17576i | 0.364600 | + | 0.271873i | ||||
\(517\) | 0.671146 | − | 1.39365i | 0.0295170 | − | 0.0612926i | ||||
\(518\) | 5.96013 | + | 17.0479i | 0.261873 | + | 0.749042i | ||||
\(519\) | 2.32474 | + | 4.82738i | 0.102045 | + | 0.211899i | ||||
\(520\) | −0.810306 | + | 31.0486i | −0.0355343 | + | 1.36157i | ||||
\(521\) | 7.88271 | − | 4.55109i | 0.345348 | − | 0.199387i | −0.317286 | − | 0.948330i | \(-0.602772\pi\) |
0.662634 | + | 0.748943i | \(0.269438\pi\) | |||||||
\(522\) | −8.09924 | − | 3.73963i | −0.354494 | − | 0.163679i | ||||
\(523\) | 40.1209 | − | 6.04726i | 1.75437 | − | 0.264428i | 0.808385 | − | 0.588654i | \(-0.200342\pi\) |
0.945980 | + | 0.324226i | \(0.105104\pi\) | |||||||
\(524\) | 10.0754 | + | 16.2117i | 0.440146 | + | 0.708211i | ||||
\(525\) | −0.506409 | − | 24.2352i | −0.0221015 | − | 1.05771i | ||||
\(526\) | 17.1921 | + | 1.00799i | 0.749610 | + | 0.0439503i | ||||
\(527\) | 60.5972 | + | 4.54113i | 2.63966 | + | 0.197815i | ||||
\(528\) | 1.55664 | + | 1.08393i | 0.0677442 | + | 0.0471719i | ||||
\(529\) | −20.5241 | + | 52.2945i | −0.892351 | + | 2.27367i | ||||
\(530\) | 4.83949 | − | 36.0725i | 0.210214 | − | 1.56689i | ||||
\(531\) | 1.71479 | − | 2.15028i | 0.0744157 | − | 0.0933144i | ||||
\(532\) | −4.47825 | + | 5.37504i | −0.194157 | + | 0.233037i | ||||
\(533\) | 2.46536 | + | 3.09147i | 0.106787 | + | 0.133906i | ||||
\(534\) | −10.6215 | + | 6.36443i | −0.459635 | + | 0.275416i | ||||
\(535\) | −5.34539 | − | 71.3293i | −0.231102 | − | 3.08384i | ||||
\(536\) | −14.3612 | − | 39.5998i | −0.620309 | − | 1.71045i | ||||
\(537\) | 6.62413 | − | 7.13911i | 0.285852 | − | 0.308075i | ||||
\(538\) | −2.76169 | − | 16.5003i | −0.119065 | − | 0.711377i | ||||
\(539\) | 2.50656 | − | 2.17627i | 0.107965 | − | 0.0937387i | ||||
\(540\) | 2.45080 | + | 7.11630i | 0.105466 | + | 0.306237i | ||||
\(541\) | 24.1368 | + | 22.3956i | 1.03772 | + | 0.962864i | 0.999337 | − | 0.0363994i | \(-0.0115888\pi\) |
0.0383830 | + | 0.999263i | \(0.487779\pi\) | |||||||
\(542\) | 27.0566 | − | 0.439327i | 1.16218 | − | 0.0188707i | ||||
\(543\) | 2.14362 | − | 0.160642i | 0.0919915 | − | 0.00689381i | ||||
\(544\) | −14.4922 | + | 37.6296i | −0.621347 | + | 1.61336i | ||||
\(545\) | 25.5292 | − | 20.3589i | 1.09355 | − | 0.872078i | ||||
\(546\) | −10.9106 | + | 0.405279i | −0.466928 | + | 0.0173443i | ||||
\(547\) | 5.76612 | + | 4.59832i | 0.246541 | + | 0.196610i | 0.738962 | − | 0.673747i | \(-0.235316\pi\) |
−0.492421 | + | 0.870357i | \(0.663888\pi\) | |||||||
\(548\) | 15.7630 | − | 0.512033i | 0.673361 | − | 0.0218730i | ||||
\(549\) | 2.52803 | + | 0.992178i | 0.107894 | + | 0.0423451i | ||||
\(550\) | −2.75549 | − | 5.49191i | −0.117494 | − | 0.234176i | ||||
\(551\) | 0.623258 | − | 8.31679i | 0.0265517 | − | 0.354307i | ||||
\(552\) | 24.2351 | − | 6.78840i | 1.03151 | − | 0.288934i | ||||
\(553\) | 21.7030 | − | 11.0160i | 0.922906 | − | 0.468447i | ||||
\(554\) | 10.3420 | + | 25.1428i | 0.439389 | + | 1.06822i | ||||
\(555\) | 2.70720 | + | 17.9611i | 0.114914 | + | 0.762405i | ||||
\(556\) | 21.6664 | + | 5.92010i | 0.918862 | + | 0.251068i | ||||
\(557\) | −16.2988 | − | 28.2303i | −0.690600 | − | 1.19615i | −0.971641 | − | 0.236459i | \(-0.924013\pi\) |
0.281041 | − | 0.959696i | \(-0.409320\pi\) | |||||||
\(558\) | −4.22171 | + | 11.2925i | −0.178719 | + | 0.478049i | ||||
\(559\) | −13.5804 | + | 6.53997i | −0.574389 | + | 0.276611i | ||||
\(560\) | 22.7968 | + | 32.6566i | 0.963343 | + | 1.37999i | ||||
\(561\) | 3.04558 | + | 1.46667i | 0.128584 | + | 0.0619230i | ||||
\(562\) | 27.3329 | − | 26.1997i | 1.15297 | − | 1.10517i | ||||
\(563\) | −24.8986 | + | 23.1026i | −1.04935 | + | 0.973657i | −0.999685 | − | 0.0251092i | \(-0.992007\pi\) |
−0.0496675 | + | 0.998766i | \(0.515816\pi\) | |||||||
\(564\) | −3.07675 | + | 5.75270i | −0.129555 | + | 0.242232i | ||||
\(565\) | 21.9003 | + | 32.1218i | 0.921352 | + | 1.35137i | ||||
\(566\) | 15.1899 | + | 4.41671i | 0.638480 | + | 0.185648i | ||||
\(567\) | −2.44213 | + | 1.01784i | −0.102560 | + | 0.0427454i | ||||
\(568\) | −23.4656 | − | 16.9119i | −0.984593 | − | 0.709606i | ||||
\(569\) | 1.08510 | − | 1.87946i | 0.0454899 | − | 0.0787909i | −0.842384 | − | 0.538878i | \(-0.818848\pi\) |
0.887874 | + | 0.460087i | \(0.152182\pi\) | |||||||
\(570\) | −5.42940 | + | 4.47592i | −0.227412 | + | 0.187476i | ||||
\(571\) | 2.10591 | − | 3.08880i | 0.0881295 | − | 0.129262i | −0.779642 | − | 0.626225i | \(-0.784599\pi\) |
0.867772 | + | 0.496963i | \(0.165551\pi\) | |||||||
\(572\) | −2.45312 | + | 1.28109i | −0.102570 | + | 0.0535649i | ||||
\(573\) | −3.95549 | + | 0.902816i | −0.165243 | + | 0.0377157i | ||||
\(574\) | 4.89718 | + | 1.31362i | 0.204404 | + | 0.0548294i | ||||
\(575\) | −79.4816 | − | 18.1412i | −3.31461 | − | 0.756538i | ||||
\(576\) | −6.36585 | − | 4.84520i | −0.265244 | − | 0.201883i | ||||
\(577\) | −2.48421 | − | 8.05360i | −0.103419 | − | 0.335276i | 0.889044 | − | 0.457822i | \(-0.151370\pi\) |
−0.992463 | + | 0.122546i | \(0.960894\pi\) | |||||||
\(578\) | −9.88237 | + | 46.7863i | −0.411052 | + | 1.94606i | ||||
\(579\) | 1.60666 | + | 0.495590i | 0.0667707 | + | 0.0205960i | ||||
\(580\) | −44.7353 | − | 15.9014i | −1.85753 | − | 0.660271i | ||||
\(581\) | −33.9396 | − | 12.5085i | −1.40805 | − | 0.518941i | ||||
\(582\) | −7.47578 | + | 8.32403i | −0.309881 | + | 0.345042i | ||||
\(583\) | 3.01881 | − | 1.18480i | 0.125026 | − | 0.0490692i | ||||
\(584\) | −3.08737 | + | 1.98897i | −0.127756 | + | 0.0823042i | ||||
\(585\) | −10.8584 | − | 1.63664i | −0.448941 | − | 0.0676669i | ||||
\(586\) | 14.9281 | − | 22.6780i | 0.616674 | − | 0.936820i | ||||
\(587\) | 40.3820 | 1.66674 | 0.833372 | − | 0.552713i | \(-0.186407\pi\) | ||||
0.833372 | + | 0.552713i | \(0.186407\pi\) | |||||||
\(588\) | −10.9504 | + | 8.72291i | −0.451586 | + | 0.359727i | ||||
\(589\) | −11.2709 | −0.464411 | ||||||||
\(590\) | 8.04804 | − | 12.2262i | 0.331333 | − | 0.503343i | ||||
\(591\) | −0.218849 | − | 0.0329863i | −0.00900226 | − | 0.00135687i | ||||
\(592\) | −12.9917 | − | 14.2815i | −0.533957 | − | 0.586967i | ||||
\(593\) | 36.8151 | − | 14.4489i | 1.51182 | − | 0.593344i | 0.542695 | − | 0.839930i | \(-0.317404\pi\) |
0.969121 | + | 0.246586i | \(0.0793089\pi\) | |||||||
\(594\) | −0.448108 | + | 0.498953i | −0.0183861 | + | 0.0204723i | ||||
\(595\) | 49.3509 | + | 51.0077i | 2.02319 | + | 2.09111i | ||||
\(596\) | −10.0607 | + | 28.3035i | −0.412101 | + | 1.15936i | ||||
\(597\) | 2.31861 | + | 0.715197i | 0.0948945 | + | 0.0292711i | ||||
\(598\) | −7.58862 | + | 35.9270i | −0.310322 | + | 1.46916i | ||||
\(599\) | −10.3186 | − | 33.4521i | −0.421606 | − | 1.36681i | −0.878691 | − | 0.477391i | \(-0.841583\pi\) |
0.457085 | − | 0.889423i | \(-0.348894\pi\) | |||||||
\(600\) | 10.6308 | + | 23.6332i | 0.434000 | + | 0.964823i | ||||
\(601\) | 14.1847 | + | 3.23756i | 0.578605 | + | 0.132063i | 0.501801 | − | 0.864983i | \(-0.332671\pi\) |
0.0768046 | + | 0.997046i | \(0.475528\pi\) | |||||||
\(602\) | −9.03595 | + | 17.0856i | −0.368278 | + | 0.696358i | ||||
\(603\) | 14.5195 | − | 3.31398i | 0.591280 | − | 0.134956i | ||||
\(604\) | 4.95928 | + | 9.49640i | 0.201790 | + | 0.386403i | ||||
\(605\) | −22.8423 | + | 33.5035i | −0.928673 | + | 1.36211i | ||||
\(606\) | 13.0686 | − | 10.7735i | 0.530874 | − | 0.437645i | ||||
\(607\) | −12.0802 | + | 20.9235i | −0.490320 | + | 0.849259i | −0.999938 | − | 0.0111419i | \(-0.996453\pi\) |
0.509618 | + | 0.860401i | \(0.329787\pi\) | |||||||
\(608\) | 2.15888 | − | 7.16081i | 0.0875543 | − | 0.290409i | ||||
\(609\) | 4.58507 | − | 16.0473i | 0.185796 | − | 0.650269i | ||||
\(610\) | 13.8786 | + | 4.03542i | 0.561928 | + | 0.163389i | ||||
\(611\) | −5.36177 | − | 7.86427i | −0.216914 | − | 0.318154i | ||||
\(612\) | −12.5715 | − | 6.72371i | −0.508174 | − | 0.271790i | ||||
\(613\) | −7.69293 | + | 7.13800i | −0.310715 | + | 0.288301i | −0.820080 | − | 0.572250i | \(-0.806071\pi\) |
0.509365 | + | 0.860551i | \(0.329880\pi\) | |||||||
\(614\) | −3.04350 | + | 2.91732i | −0.122825 | + | 0.117734i | ||||
\(615\) | 4.59454 | + | 2.21262i | 0.185270 | + | 0.0892213i | ||||
\(616\) | −1.55632 | + | 3.18920i | −0.0627059 | + | 0.128497i | ||||
\(617\) | 15.1227 | − | 7.28270i | 0.608817 | − | 0.293191i | −0.103960 | − | 0.994581i | \(-0.533151\pi\) |
0.712777 | + | 0.701391i | \(0.247437\pi\) | |||||||
\(618\) | 2.48998 | − | 6.66035i | 0.100162 | − | 0.267919i | ||||
\(619\) | 4.31111 | + | 7.46707i | 0.173278 | + | 0.300127i | 0.939564 | − | 0.342373i | \(-0.111231\pi\) |
−0.766286 | + | 0.642500i | \(0.777897\pi\) | |||||||
\(620\) | −16.9114 | + | 61.8927i | −0.679180 | + | 2.48567i | ||||
\(621\) | 1.32621 | + | 8.79881i | 0.0532188 | + | 0.353084i | ||||
\(622\) | 1.06134 | + | 2.58026i | 0.0425558 | + | 0.103459i | ||||
\(623\) | −14.8185 | − | 17.8056i | −0.593689 | − | 0.713365i | ||||
\(624\) | 10.5654 | − | 4.96036i | 0.422956 | − | 0.198573i | ||||
\(625\) | 0.981414 | − | 13.0961i | 0.0392565 | − | 0.523842i | ||||
\(626\) | 17.4430 | + | 34.7653i | 0.697161 | + | 1.38950i | ||||
\(627\) | −0.583636 | − | 0.229060i | −0.0233082 | − | 0.00914779i | ||||
\(628\) | −0.695486 | − | 21.4106i | −0.0277529 | − | 0.854375i | ||||
\(629\) | −26.8997 | − | 21.4518i | −1.07256 | − | 0.855339i | ||||
\(630\) | −12.4508 | + | 6.57613i | −0.496053 | + | 0.261999i | ||||
\(631\) | 9.33103 | − | 7.44124i | 0.371462 | − | 0.296231i | −0.419910 | − | 0.907566i | \(-0.637938\pi\) |
0.791372 | + | 0.611334i | \(0.209367\pi\) | |||||||
\(632\) | −16.7479 | + | 19.9125i | −0.666195 | + | 0.792075i | ||||
\(633\) | 13.9912 | − | 1.04850i | 0.556100 | − | 0.0416739i | ||||
\(634\) | −2.73427 | + | 0.0443973i | −0.108592 | + | 0.00176324i | ||||
\(635\) | 4.51233 | + | 4.18683i | 0.179066 | + | 0.166149i | ||||
\(636\) | −12.9319 | + | 4.45367i | −0.512784 | + | 0.176599i | ||||
\(637\) | −3.88538 | − | 20.0529i | −0.153944 | − | 0.794525i | ||||
\(638\) | −0.698340 | − | 4.17237i | −0.0276476 | − | 0.165186i | ||||
\(639\) | 6.95576 | − | 7.49653i | 0.275166 | − | 0.296558i | ||||
\(640\) | −36.0832 | − | 22.5996i | −1.42631 | − | 0.893327i | ||||
\(641\) | 3.62764 | + | 48.4075i | 0.143283 | + | 1.91198i | 0.355360 | + | 0.934730i | \(0.384358\pi\) |
−0.212076 | + | 0.977253i | \(0.568023\pi\) | |||||||
\(642\) | −23.0579 | + | 13.8164i | −0.910021 | + | 0.545289i | ||||
\(643\) | −14.8332 | − | 18.6002i | −0.584964 | − | 0.733521i | 0.397987 | − | 0.917391i | \(-0.369709\pi\) |
−0.982951 | + | 0.183870i | \(0.941137\pi\) | |||||||
\(644\) | 19.5154 | + | 42.8501i | 0.769014 | + | 1.68853i | ||||
\(645\) | −12.1203 | + | 15.1983i | −0.477235 | + | 0.598434i | ||||
\(646\) | 1.77227 | − | 13.2101i | 0.0697290 | − | 0.519745i | ||||
\(647\) | 7.84089 | − | 19.9783i | 0.308257 | − | 0.785427i | −0.689851 | − | 0.723951i | \(-0.742324\pi\) |
0.998109 | − | 0.0614756i | \(-0.0195806\pi\) | |||||||
\(648\) | 1.97726 | − | 2.02249i | 0.0776740 | − | 0.0794508i | ||||
\(649\) | 1.30059 | + | 0.0974656i | 0.0510525 | + | 0.00382586i | ||||
\(650\) | −37.7437 | − | 2.21295i | −1.48043 | − | 0.0867989i | ||||
\(651\) | −22.0889 | − | 4.55836i | −0.865734 | − | 0.178656i | ||||
\(652\) | 14.4942 | − | 9.00798i | 0.567636 | − | 0.352780i | ||||
\(653\) | 29.7952 | − | 4.49090i | 1.16598 | − | 0.175742i | 0.462604 | − | 0.886565i | \(-0.346915\pi\) |
0.703371 | + | 0.710823i | \(0.251677\pi\) | |||||||
\(654\) | −11.1407 | − | 5.14395i | −0.435635 | − | 0.201144i | ||||
\(655\) | −31.1037 | + | 17.9578i | −1.21532 | + | 0.701668i | ||||
\(656\) | −5.36754 | + | 0.755000i | −0.209567 | + | 0.0294778i | ||||
\(657\) | −0.563379 | − | 1.16987i | −0.0219795 | − | 0.0456409i | ||||
\(658\) | −11.5189 | − | 4.03415i | −0.449054 | − | 0.157268i | ||||
\(659\) | −3.12846 | + | 6.49631i | −0.121867 | + | 0.253060i | −0.952974 | − | 0.303054i | \(-0.901994\pi\) |
0.831106 | + | 0.556114i | \(0.187708\pi\) | |||||||
\(660\) | −2.13357 | + | 2.86126i | −0.0830489 | + | 0.111374i | ||||
\(661\) | 5.49704 | + | 5.92440i | 0.213810 | + | 0.230432i | 0.830846 | − | 0.556503i | \(-0.187857\pi\) |
−0.617036 | + | 0.786935i | \(0.711667\pi\) | |||||||
\(662\) | −20.3199 | − | 15.6717i | −0.789754 | − | 0.609097i | ||||
\(663\) | 17.1860 | − | 11.7172i | 0.667449 | − | 0.455059i | ||||
\(664\) | 38.6228 | − | 1.88272i | 1.49886 | − | 0.0730637i | ||||
\(665\) | −9.83490 | − | 8.75029i | −0.381381 | − | 0.339322i | ||||
\(666\) | 5.57668 | − | 3.93625i | 0.216092 | − | 0.152526i | ||||
\(667\) | −48.6101 | − | 28.0650i | −1.88219 | − | 1.08668i | ||||
\(668\) | −12.4867 | − | 10.8532i | −0.483125 | − | 0.419924i | ||||
\(669\) | 13.7551 | + | 9.37805i | 0.531802 | + | 0.362577i | ||||
\(670\) | 75.3499 | − | 24.5890i | 2.91102 | − | 0.949956i | ||||
\(671\) | 0.286573 | + | 1.25556i | 0.0110630 | + | 0.0484703i | ||||
\(672\) | 7.12709 | − | 13.1607i | 0.274933 | − | 0.507686i | ||||
\(673\) | 4.67224 | − | 20.4704i | 0.180102 | − | 0.789077i | −0.801478 | − | 0.598024i | \(-0.795953\pi\) |
0.981580 | − | 0.191053i | \(-0.0611901\pi\) | |||||||
\(674\) | 0.723761 | + | 7.92832i | 0.0278782 | + | 0.305387i | ||||
\(675\) | −8.75500 | + | 2.70056i | −0.336980 | + | 0.103945i | ||||
\(676\) | 0.379603 | − | 8.96277i | 0.0146001 | − | 0.344722i | ||||
\(677\) | 12.3539 | − | 40.0504i | 0.474799 | − | 1.53926i | −0.328982 | − | 0.944336i | \(-0.606706\pi\) |
0.803781 | − | 0.594925i | \(-0.202818\pi\) | |||||||
\(678\) | 7.09856 | − | 12.7695i | 0.272619 | − | 0.490408i | ||||
\(679\) | −17.5368 | − | 11.4271i | −0.673000 | − | 0.438534i | ||||
\(680\) | −69.8822 | − | 29.5532i | −2.67986 | − | 1.13331i | ||||
\(681\) | 9.03145 | + | 23.0118i | 0.346086 | + | 0.881812i | ||||
\(682\) | −5.55230 | + | 1.36248i | −0.212608 | + | 0.0521720i | ||||
\(683\) | −4.12764 | + | 27.3851i | −0.157940 | + | 1.04786i | 0.759650 | + | 0.650332i | \(0.225370\pi\) |
−0.917589 | + | 0.397529i | \(0.869868\pi\) | |||||||
\(684\) | 2.41841 | + | 1.06936i | 0.0924703 | + | 0.0408880i | ||||
\(685\) | 29.6757i | 1.13385i | ||||||||
\(686\) | −19.2729 | − | 17.7357i | −0.735844 | − | 0.677151i | ||||
\(687\) | 16.1855i | 0.617517i | ||||||||
\(688\) | 1.74710 | − | 20.5884i | 0.0666077 | − | 0.784925i | ||||
\(689\) | 2.97415 | − | 19.7322i | 0.113306 | − | 0.751738i | ||||
\(690\) | 11.2860 | + | 45.9920i | 0.429650 | + | 1.75089i | ||||
\(691\) | −1.68651 | − | 4.29715i | −0.0641578 | − | 0.163471i | 0.895199 | − | 0.445666i | \(-0.147033\pi\) |
−0.959357 | + | 0.282194i | \(0.908938\pi\) | |||||||
\(692\) | 5.74589 | − | 9.04527i | 0.218426 | − | 0.343850i | ||||
\(693\) | −1.05118 | − | 0.684958i | −0.0399310 | − | 0.0260194i | ||||
\(694\) | 28.1369 | + | 15.6413i | 1.06806 | + | 0.593737i | ||||
\(695\) | −12.4571 | + | 40.3850i | −0.472525 | + | 1.53189i | ||||
\(696\) | 2.19800 | + | 17.7059i | 0.0833150 | + | 0.671140i | ||||
\(697\) | −9.23040 | + | 2.84720i | −0.349626 | + | 0.107845i | ||||
\(698\) | 5.26571 | − | 0.480697i | 0.199310 | − | 0.0181946i | ||||
\(699\) | −2.59354 | + | 11.3630i | −0.0980966 | + | 0.429789i | ||||
\(700\) | −40.6330 | + | 26.4455i | −1.53578 | + | 0.999544i | ||||
\(701\) | −5.96322 | − | 26.1266i | −0.225228 | − | 0.986787i | −0.953475 | − | 0.301473i | \(-0.902522\pi\) |
0.728247 | − | 0.685315i | \(-0.240335\pi\) | |||||||
\(702\) | 1.28021 | + | 3.92304i | 0.0483184 | + | 0.148066i | ||||
\(703\) | 5.27268 | + | 3.59485i | 0.198863 | + | 0.135582i | ||||
\(704\) | 0.197881 | − | 3.78854i | 0.00745792 | − | 0.142786i | ||||
\(705\) | −10.6308 | − | 6.13767i | −0.400378 | − | 0.231158i | ||||
\(706\) | −20.5716 | − | 29.1449i | −0.774222 | − | 1.09688i | ||||
\(707\) | 23.6726 | + | 21.0619i | 0.890299 | + | 0.792116i | ||||
\(708\) | −5.46295 | − | 0.642805i | −0.205310 | − | 0.0241581i | ||||
\(709\) | 12.2425 | − | 8.34682i | 0.459778 | − | 0.313471i | −0.311187 | − | 0.950349i | \(-0.600727\pi\) |
0.770965 | + | 0.636877i | \(0.219774\pi\) | |||||||
\(710\) | 33.2385 | − | 43.0970i | 1.24742 | − | 1.61740i | ||||
\(711\) | −6.25702 | − | 6.74347i | −0.234657 | − | 0.252900i | ||||
\(712\) | 22.0242 | + | 11.3234i | 0.825392 | + | 0.424362i | ||||
\(713\) | −32.9122 | + | 68.3429i | −1.23257 | + | 2.55946i | ||||
\(714\) | 8.81594 | − | 25.1726i | 0.329928 | − | 0.942061i | ||||
\(715\) | −2.25939 | − | 4.69167i | −0.0844964 | − | 0.175459i | ||||
\(716\) | −19.1201 | − | 3.71542i | −0.714553 | − | 0.138852i | ||||
\(717\) | −3.20492 | + | 1.85036i | −0.119690 | + | 0.0691030i | ||||
\(718\) | 14.3566 | − | 31.0933i | 0.535784 | − | 1.16039i | ||||
\(719\) | 19.5518 | − | 2.94696i | 0.729159 | − | 0.109903i | 0.226037 | − | 0.974119i | \(-0.427423\pi\) |
0.503121 | + | 0.864216i | \(0.332185\pi\) | |||||||
\(720\) | 9.50093 | − | 11.6758i | 0.354079 | − | 0.435133i | ||||
\(721\) | 13.0282 | + | 2.68854i | 0.485194 | + | 0.100126i | ||||
\(722\) | 1.42802 | − | 24.3561i | 0.0531454 | − | 0.906440i | ||||
\(723\) | 3.96047 | + | 0.296796i | 0.147291 | + | 0.0110380i | ||||
\(724\) | −2.53591 | − | 3.47171i | −0.0942463 | − | 0.129025i | ||||
\(725\) | 21.1147 | − | 53.7993i | 0.784179 | − | 1.99806i | ||||
\(726\) | 15.1030 | + | 2.02622i | 0.560525 | + | 0.0752001i | ||||
\(727\) | −14.8493 | + | 18.6204i | −0.550729 | + | 0.690593i | −0.976814 | − | 0.214091i | \(-0.931321\pi\) |
0.426084 | + | 0.904683i | \(0.359893\pi\) | |||||||
\(728\) | 12.2068 | + | 18.1056i | 0.452413 | + | 0.671038i | ||||
\(729\) | 0.623490 | + | 0.781831i | 0.0230922 | + | 0.0289567i | ||||
\(730\) | −3.55192 | − | 5.92772i | −0.131462 | − | 0.219395i | ||||
\(731\) | −2.75171 | − | 36.7190i | −0.101776 | − | 1.35810i | ||||
\(732\) | −0.983470 | − | 5.34174i | −0.0363501 | − | 0.197436i | ||||
\(733\) | 8.83261 | − | 9.51929i | 0.326240 | − | 0.351603i | −0.548539 | − | 0.836125i | \(-0.684816\pi\) |
0.874779 | + | 0.484522i | \(0.161006\pi\) | |||||||
\(734\) | −4.13617 | + | 0.692282i | −0.152669 | + | 0.0255526i | ||||
\(735\) | −15.7356 | − | 21.1265i | −0.580418 | − | 0.779263i | ||||
\(736\) | −37.1164 | − | 34.0009i | −1.36813 | − | 1.25329i | ||||
\(737\) | 5.17710 | + | 4.80365i | 0.190701 | + | 0.176945i | ||||
\(738\) | −0.0311130 | − | 1.91614i | −0.00114529 | − | 0.0705341i | ||||
\(739\) | −3.64746 | + | 0.273340i | −0.134174 | + | 0.0100550i | −0.141648 | − | 0.989917i | \(-0.545240\pi\) |
0.00747373 | + | 0.999972i | \(0.497621\pi\) | |||||||
\(740\) | 27.6520 | − | 23.5602i | 1.01651 | − | 0.866092i | ||||
\(741\) | −3.01629 | + | 2.40541i | −0.110806 | + | 0.0883651i | ||||
\(742\) | −11.9503 | − | 22.6260i | −0.438710 | − | 0.830625i | ||||
\(743\) | −15.1389 | − | 12.0729i | −0.555394 | − | 0.442912i | 0.305138 | − | 0.952308i | \(-0.401297\pi\) |
−0.860532 | + | 0.509396i | \(0.829869\pi\) | |||||||
\(744\) | 23.6391 | − | 4.75024i | 0.866651 | − | 0.174152i | ||||
\(745\) | −52.6140 | − | 20.6495i | −1.92763 | − | 0.756537i | ||||
\(746\) | −35.9928 | + | 18.0588i | −1.31779 | + | 0.661181i | ||||
\(747\) | −1.02167 | + | 13.6332i | −0.0373809 | + | 0.498813i | ||||
\(748\) | −0.723839 | − | 6.72181i | −0.0264662 | − | 0.245774i | ||||
\(749\) | −32.1690 | − | 38.6537i | −1.17543 | − | 1.41237i | ||||
\(750\) | −20.4852 | + | 8.42619i | −0.748015 | + | 0.307681i | ||||
\(751\) | 0.383135 | + | 2.54193i | 0.0139808 | + | 0.0927564i | 0.994733 | − | 0.102500i | \(-0.0326842\pi\) |
−0.980752 | + | 0.195256i | \(0.937446\pi\) | |||||||
\(752\) | 13.0201 | − | 0.846764i | 0.474794 | − | 0.0308783i | ||||
\(753\) | 0.157905 | + | 0.273499i | 0.00575437 | + | 0.00996687i | ||||
\(754\) | −24.3828 | − | 9.11553i | −0.887968 | − | 0.331968i | ||||
\(755\) | −18.1622 | + | 8.74645i | −0.660990 | + | 0.318316i | ||||
\(756\) | 4.30715 | + | 3.07383i | 0.156650 | + | 0.111794i | ||||
\(757\) | 18.5014 | + | 8.90980i | 0.672444 | + | 0.323832i | 0.738762 | − | 0.673966i | \(-0.235411\pi\) |
−0.0663177 | + | 0.997799i | \(0.521125\pi\) | |||||||
\(758\) | 11.2257 | + | 11.7112i | 0.407736 | + | 0.425371i | ||||
\(759\) | −3.09321 | + | 2.87008i | −0.112276 | + | 0.104177i | ||||
\(760\) | 13.3350 | + | 4.49751i | 0.483710 | + | 0.163142i | ||||
\(761\) | 1.80002 | + | 2.64014i | 0.0652506 | + | 0.0957051i | 0.857477 | − | 0.514522i | \(-0.172031\pi\) |
−0.792227 | + | 0.610227i | \(0.791078\pi\) | |||||||
\(762\) | 0.645859 | − | 2.22124i | 0.0233970 | − | 0.0804669i | ||||
\(763\) | 6.30686 | − | 22.0734i | 0.228324 | − | 0.799111i | ||||
\(764\) | 5.70943 | + | 5.76598i | 0.206560 | + | 0.208606i | ||||
\(765\) | 13.4128 | − | 23.2317i | 0.484941 | − | 0.839943i | ||||
\(766\) | 5.34309 | + | 6.48130i | 0.193054 | + | 0.234179i | ||||
\(767\) | 4.52085 | − | 6.63087i | 0.163238 | − | 0.239427i | ||||
\(768\) | −1.50994 | + | 15.9286i | −0.0544854 | + | 0.574774i | ||||
\(769\) | −45.4577 | + | 10.3754i | −1.63925 | + | 0.374148i | −0.940118 | − | 0.340848i | \(-0.889286\pi\) |
−0.699129 | + | 0.714995i | \(0.746429\pi\) | |||||||
\(770\) | −5.90265 | − | 3.12169i | −0.212717 | − | 0.112498i | ||||
\(771\) | 17.0760 | + | 3.89748i | 0.614977 | + | 0.140364i | ||||
\(772\) | −0.854320 | − | 3.25239i | −0.0307476 | − | 0.117056i | ||||
\(773\) | −14.1605 | − | 45.9071i | −0.509317 | − | 1.65117i | −0.735837 | − | 0.677159i | \(-0.763211\pi\) |
0.226520 | − | 0.974007i | \(-0.427265\pi\) | |||||||
\(774\) | 7.14755 | + | 1.50973i | 0.256913 | + | 0.0542661i | ||||
\(775\) | −74.6342 | − | 23.0216i | −2.68094 | − | 0.826960i | ||||
\(776\) | 22.0320 | + | 3.91117i | 0.790903 | + | 0.140403i | ||||
\(777\) | 8.87959 | + | 9.17769i | 0.318553 | + | 0.329248i | ||||
\(778\) | 17.7538 | + | 15.9446i | 0.636505 | + | 0.571643i | ||||
\(779\) | 1.66778 | − | 0.654555i | 0.0597544 | − | 0.0234519i | ||||
\(780\) | 8.68318 | + | 20.1727i | 0.310908 | + | 0.722299i | ||||
\(781\) | 4.79535 | + | 0.722783i | 0.171591 | + | 0.0258632i | ||||
\(782\) | −74.9262 | − | 49.3212i | −2.67935 | − | 1.76372i | ||||
\(783\) | −6.30803 | −0.225431 | ||||||||
\(784\) | 26.3777 | + | 9.39226i | 0.942062 | + | 0.335438i | ||||
\(785\) | 40.3079 | 1.43865 | ||||||||
\(786\) | 11.2736 | + | 7.42103i | 0.402117 | + | 0.264699i | ||||
\(787\) | 50.4803 | + | 7.60868i | 1.79943 | + | 0.271220i | 0.961549 | − | 0.274634i | \(-0.0885566\pi\) |
0.837880 | + | 0.545854i | \(0.183795\pi\) | |||||||
\(788\) | 0.175008 | + | 0.406577i | 0.00623440 | + | 0.0144837i | ||||
\(789\) | 11.3357 | − | 4.44894i | 0.403562 | − | 0.158387i | ||||
\(790\) | −36.4249 | − | 32.7131i | −1.29594 | − | 1.16388i | ||||
\(791\) | 25.6462 | + | 9.45200i | 0.911875 | + | 0.336074i | ||||
\(792\) | 1.32063 | + | 0.234441i | 0.0469265 | + | 0.00833048i | ||||
\(793\) | 7.57246 | + | 2.33580i | 0.268906 | + | 0.0829465i | ||||
\(794\) | 14.5924 | + | 3.08225i | 0.517865 | + | 0.109385i | ||||
\(795\) | −7.58571 | − | 24.5923i | −0.269037 | − | 0.872198i | ||||
\(796\) | −1.23289 | − | 4.69360i | −0.0436985 | − | 0.166360i | ||||
\(797\) | 7.98621 | + | 1.82280i | 0.282886 | + | 0.0645669i | 0.361610 | − | 0.932330i | \(-0.382227\pi\) |
−0.0787236 | + | 0.996896i | \(0.525084\pi\) | |||||||
\(798\) | −1.28168 | + | 4.77809i | −0.0453708 | + | 0.169143i | ||||
\(799\) | 22.6689 | − | 5.17402i | 0.801967 | − | 0.183044i | ||||
\(800\) | 28.9221 | − | 43.0080i | 1.02255 | − | 1.52056i | ||||
\(801\) | −4.93221 | + | 7.23422i | −0.174271 | + | 0.255609i | ||||
\(802\) | 29.2962 | + | 35.5370i | 1.03448 | + | 1.25485i | ||||
\(803\) | 0.307872 | − | 0.533250i | 0.0108646 | − | 0.0188180i | ||||
\(804\) | −20.9577 | − | 21.1653i | −0.739120 | − | 0.746441i | ||||
\(805\) | −81.7774 | + | 34.0836i | −2.88228 | + | 1.20129i | ||||
\(806\) | −9.82196 | + | 33.7797i | −0.345964 | + | 1.18984i | ||||
\(807\) | −6.66393 | − | 9.77419i | −0.234581 | − | 0.344068i | ||||
\(808\) | −32.0973 | − | 10.8255i | −1.12918 | − | 0.380840i | ||||
\(809\) | −19.5322 | + | 18.1233i | −0.686717 | + | 0.637180i | −0.944304 | − | 0.329075i | \(-0.893263\pi\) |
0.257587 | + | 0.966255i | \(0.417073\pi\) | |||||||
\(810\) | 3.68277 | + | 3.84205i | 0.129399 | + | 0.134996i | ||||
\(811\) | −4.94805 | − | 2.38286i | −0.173750 | − | 0.0836734i | 0.344987 | − | 0.938607i | \(-0.387883\pi\) |
−0.518737 | + | 0.854934i | \(0.673598\pi\) | |||||||
\(812\) | −32.0996 | + | 9.15271i | −1.12647 | + | 0.321197i | ||||
\(813\) | 17.2395 | − | 8.30211i | 0.604616 | − | 0.291168i | ||||
\(814\) | 3.03199 | + | 1.13351i | 0.106271 | + | 0.0397296i | ||||
\(815\) | 16.0553 | + | 27.8085i | 0.562391 | + | 0.974090i | ||||
\(816\) | 1.85046 | + | 28.4532i | 0.0647789 | + | 0.996060i | ||||
\(817\) | 1.01791 | + | 6.75337i | 0.0356120 | + | 0.236270i | ||||
\(818\) | −34.5363 | + | 14.2058i | −1.20753 | + | 0.496694i | ||||
\(819\) | −6.88420 | + | 3.49427i | −0.240554 | + | 0.122100i | ||||
\(820\) | −1.09198 | − | 10.1405i | −0.0381336 | − | 0.354121i | ||||
\(821\) | −1.34334 | + | 17.9256i | −0.0468828 | + | 0.625607i | 0.923432 | + | 0.383762i | \(0.125372\pi\) |
−0.970315 | + | 0.241845i | \(0.922247\pi\) | |||||||
\(822\) | 9.96772 | − | 5.00116i | 0.347664 | − | 0.174435i | ||||
\(823\) | −18.5590 | − | 7.28386i | −0.646925 | − | 0.253899i | 0.0191128 | − | 0.999817i | \(-0.493916\pi\) |
−0.666038 | + | 0.745918i | \(0.732011\pi\) | |||||||
\(824\) | −13.9424 | + | 2.80171i | −0.485708 | + | 0.0976023i | ||||
\(825\) | −3.39687 | − | 2.70891i | −0.118264 | − | 0.0943122i | ||||
\(826\) | −0.381992 | − | 10.2837i | −0.0132912 | − | 0.357814i | ||||
\(827\) | 7.11479 | − | 5.67385i | 0.247405 | − | 0.197299i | −0.491933 | − | 0.870633i | \(-0.663710\pi\) |
0.739339 | + | 0.673334i | \(0.235138\pi\) | |||||||
\(828\) | 13.5462 | − | 11.5417i | 0.470763 | − | 0.401103i | ||||
\(829\) | −34.9429 | + | 2.61861i | −1.21362 | + | 0.0909480i | −0.666110 | − | 0.745854i | \(-0.732042\pi\) |
−0.547506 | + | 0.836801i | \(0.684423\pi\) | |||||||
\(830\) | 1.18127 | + | 72.7503i | 0.0410026 | + | 2.52520i | ||||
\(831\) | 14.0921 | + | 13.0756i | 0.488851 | + | 0.453587i | ||||
\(832\) | −19.5800 | − | 12.7105i | −0.678815 | − | 0.440658i | ||||
\(833\) | 49.0685 | + | 9.06157i | 1.70012 | + | 0.313965i | ||||
\(834\) | 15.6642 | − | 2.62176i | 0.542407 | − | 0.0907842i | ||||
\(835\) | 21.1738 | − | 22.8199i | 0.732748 | − | 0.789714i | ||||
\(836\) | 0.227050 | + | 1.23323i | 0.00785268 | + | 0.0426520i | ||||
\(837\) | 0.637056 | + | 8.50092i | 0.0220199 | + | 0.293835i | ||||
\(838\) | 24.5358 | + | 40.9472i | 0.847574 | + | 1.41450i | ||||
\(839\) | −2.11448 | − | 2.65148i | −0.0730001 | − | 0.0915392i | 0.743991 | − | 0.668190i | \(-0.232931\pi\) |
−0.816991 | + | 0.576651i | \(0.804359\pi\) | |||||||
\(840\) | 24.3151 | + | 14.2074i | 0.838951 | + | 0.490202i | ||||
\(841\) | 6.72823 | − | 8.43693i | 0.232008 | − | 0.290929i | ||||
\(842\) | −4.83001 | − | 0.647994i | −0.166453 | − | 0.0223313i | ||||
\(843\) | 9.78102 | − | 24.9216i | 0.336876 | − | 0.858346i | ||||
\(844\) | −16.5516 | − | 22.6595i | −0.569731 | − | 0.779974i | ||||
\(845\) | 16.8325 | + | 1.26142i | 0.579055 | + | 0.0433942i | ||||
\(846\) | −0.270002 | + | 4.60512i | −0.00928287 | + | 0.158327i | ||||
\(847\) | 0.595569 | + | 28.5021i | 0.0204640 | + | 0.979343i | ||||
\(848\) | 21.2176 | + | 17.2653i | 0.728616 | + | 0.592894i | ||||
\(849\) | 11.0608 | − | 1.66715i | 0.379606 | − | 0.0572163i | ||||
\(850\) | 38.7181 | − | 83.8551i | 1.32802 | − | 2.87621i | ||||
\(851\) | 37.1946 | − | 21.4743i | 1.27501 | − | 0.736130i | ||||
\(852\) | −20.0774 | − | 3.90143i | −0.687840 | − | 0.133661i | ||||
\(853\) | −2.62933 | − | 5.45987i | −0.0900267 | − | 0.186942i | 0.851094 | − | 0.525014i | \(-0.175940\pi\) |
−0.941120 | + | 0.338071i | \(0.890225\pi\) | |||||||
\(854\) | 9.59213 | − | 3.35351i | 0.328236 | − | 0.114755i | ||||
\(855\) | −2.15881 | + | 4.48282i | −0.0738298 | + | 0.153309i | ||||
\(856\) | 47.8118 | + | 24.5817i | 1.63417 | + | 0.840185i | ||||
\(857\) | −34.9469 | − | 37.6638i | −1.19376 | − | 1.28657i | −0.948377 | − | 0.317144i | \(-0.897276\pi\) |
−0.245385 | − | 0.969426i | \(-0.578914\pi\) | |||||||
\(858\) | −1.19511 | + | 1.54958i | −0.0408004 | + | 0.0529017i | ||||
\(859\) | −22.4784 | + | 15.3255i | −0.766953 | + | 0.522899i | −0.882449 | − | 0.470408i | \(-0.844107\pi\) |
0.115496 | + | 0.993308i | \(0.463154\pi\) | |||||||
\(860\) | 38.6124 | + | 4.54339i | 1.31667 | + | 0.154928i | ||||
\(861\) | 3.53326 | − | 0.608299i | 0.120413 | − | 0.0207308i | ||||
\(862\) | −12.9319 | − | 18.3213i | −0.440462 | − | 0.624026i | ||||
\(863\) | 3.33991 | + | 1.92830i | 0.113692 | + | 0.0656399i | 0.555768 | − | 0.831338i | \(-0.312424\pi\) |
−0.442076 | + | 0.896978i | \(0.645758\pi\) | |||||||
\(864\) | −5.52294 | − | 1.22356i | −0.187894 | − | 0.0416263i | ||||
\(865\) | 16.6598 | + | 11.3585i | 0.566451 | + | 0.386200i | ||||
\(866\) | 3.40763 | + | 10.4423i | 0.115796 | + | 0.354842i | ||||
\(867\) | 7.52407 | + | 32.9651i | 0.255531 | + | 1.11955i | ||||
\(868\) | 15.5763 | + | 42.3341i | 0.528693 | + | 1.43691i | ||||
\(869\) | 0.970717 | − | 4.25299i | 0.0329293 | − | 0.144273i | ||||
\(870\) | −33.4326 | + | 3.05199i | −1.13347 | + | 0.103472i | ||||
\(871\) | 41.5265 | − | 12.8092i | 1.40707 | − | 0.434024i | ||||
\(872\) | 3.02340 | + | 24.3548i | 0.102385 | + | 0.824759i | ||||
\(873\) | −2.33189 | + | 7.55981i | −0.0789226 | + | 0.255861i | ||||
\(874\) | 14.5419 | + | 8.08386i | 0.491887 | + | 0.273441i | ||||
\(875\) | −21.4651 | − | 35.4473i | −0.725654 | − | 1.19834i | ||||
\(876\) | −1.39246 | + | 2.19203i | −0.0470468 | + | 0.0740619i | ||||
\(877\) | 9.07021 | + | 23.1105i | 0.306279 | + | 0.780387i | 0.998288 | + | 0.0584972i | \(0.0186309\pi\) |
−0.692008 | + | 0.721889i | \(0.743274\pi\) | |||||||
\(878\) | 6.07152 | + | 24.7423i | 0.204904 | + | 0.835012i | ||||
\(879\) | 2.86134 | − | 18.9838i | 0.0965106 | − | 0.640306i | ||||
\(880\) | 7.11276 | + | 0.603580i | 0.239771 | + | 0.0203467i | ||||
\(881\) | − | 38.5437i | − | 1.29857i | −0.760545 | − | 0.649286i | \(-0.775068\pi\) | ||
0.760545 | − | 0.649286i | \(-0.224932\pi\) | |||||||
\(882\) | −4.44427 | + | 8.84582i | −0.149646 | + | 0.297854i | ||||
\(883\) | 3.13393i | 0.105465i | 0.998609 | + | 0.0527326i | \(0.0167931\pi\) | ||||
−0.998609 | + | 0.0527326i | \(0.983207\pi\) | |||||||
\(884\) | −38.0470 | − | 16.8234i | −1.27966 | − | 0.565833i | ||||
\(885\) | 1.54261 | − | 10.2345i | 0.0518541 | − | 0.344030i | ||||
\(886\) | −4.01041 | + | 0.984117i | −0.134732 | + | 0.0330620i | ||||
\(887\) | 14.7075 | + | 37.4741i | 0.493829 | + | 1.25826i | 0.933008 | + | 0.359856i | \(0.117174\pi\) |
−0.439178 | + | 0.898400i | \(0.644730\pi\) | |||||||
\(888\) | −12.5737 | − | 5.31744i | −0.421947 | − | 0.178442i | ||||
\(889\) | 4.29186 | + | 0.555463i | 0.143944 | + | 0.0186296i | ||||
\(890\) | −22.6406 | + | 40.7277i | −0.758914 | + | 1.36520i | ||||
\(891\) | −0.139777 | + | 0.453145i | −0.00468269 | + | 0.0151809i | ||||
\(892\) | 1.40892 | − | 33.2658i | 0.0471740 | − | 1.11382i | ||||
\(893\) | −4.12110 | + | 1.27119i | −0.137907 | + | 0.0425387i | ||||
\(894\) | 1.93096 | + | 21.1524i | 0.0645811 | + | 0.707443i | ||||
\(895\) | 8.15536 | − | 35.7310i | 0.272604 | − | 1.19436i | ||||
\(896\) | −29.8799 | + | 1.78728i | −0.998216 | + | 0.0597087i | ||||
\(897\) | 5.77770 | + | 25.3137i | 0.192912 | + | 0.845201i | ||||
\(898\) | −46.9832 | + | 15.3321i | −1.56785 | + | 0.511637i | ||||
\(899\) | −44.4305 | − | 30.2922i | −1.48184 | − | 1.01030i | ||||
\(900\) | 13.8301 | + | 12.0209i | 0.461002 | + | 0.400696i | ||||
\(901\) | 42.2172 | + | 24.3741i | 1.40646 | + | 0.812020i | ||||
\(902\) | 0.742457 | − | 0.524056i | 0.0247211 | − | 0.0174491i | ||||
\(903\) | −0.736387 | + | 13.6470i | −0.0245054 | + | 0.454145i | ||||
\(904\) | −29.1851 | + | 1.42267i | −0.970682 | + | 0.0473172i | ||||
\(905\) | 6.68394 | − | 4.55703i | 0.222182 | − | 0.151481i | ||||
\(906\) | 5.99866 | + | 4.62646i | 0.199292 | + | 0.153704i | ||||
\(907\) | 17.1775 | + | 18.5130i | 0.570370 | + | 0.614713i | 0.950690 | − | 0.310142i | \(-0.100377\pi\) |
−0.380320 | + | 0.924855i | \(0.624186\pi\) | |||||||
\(908\) | 29.5549 | − | 39.6351i | 0.980812 | − | 1.31534i | ||||
\(909\) | 5.19626 | − | 10.7901i | 0.172349 | − | 0.357886i | ||||
\(910\) | −34.7957 | + | 21.8504i | −1.15346 | + | 0.724333i | ||||
\(911\) | −19.2449 | − | 39.9624i | −0.637612 | − | 1.32401i | −0.929945 | − | 0.367698i | \(-0.880146\pi\) |
0.292334 | − | 0.956316i | \(-0.405568\pi\) | |||||||
\(912\) | −0.736640 | − | 5.23702i | −0.0243926 | − | 0.173415i | ||||
\(913\) | −5.61459 | + | 3.24158i | −0.185816 | + | 0.107281i | ||||
\(914\) | 7.81405 | + | 3.60796i | 0.258466 | + | 0.119341i | ||||
\(915\) | 10.1059 | − | 1.52322i | 0.334092 | − | 0.0503562i | ||||
\(916\) | 27.4939 | − | 17.0872i | 0.908424 | − | 0.564576i | ||||
\(917\) | −10.4781 | + | 22.9737i | −0.346017 | + | 0.758659i | ||||
\(918\) | −10.0637 | − | 0.590043i | −0.332151 | − | 0.0194743i | ||||
\(919\) | −9.74207 | − | 0.730067i | −0.321361 | − | 0.0240827i | −0.0869271 | − | 0.996215i | \(-0.527705\pi\) |
−0.234434 | + | 0.972132i | \(0.575324\pi\) | |||||||
\(920\) | 66.2106 | − | 67.7252i | 2.18290 | − | 2.23283i | ||||
\(921\) | −1.08911 | + | 2.77501i | −0.0358874 | + | 0.0914395i | ||||
\(922\) | −1.31067 | + | 9.76945i | −0.0431646 | + | 0.321740i | ||||
\(923\) | 18.6053 | − | 23.3303i | 0.612401 | − | 0.767927i | ||||
\(924\) | −0.0537836 | + | 2.50872i | −0.00176935 | + | 0.0825309i | ||||
\(925\) | 27.5720 | + | 34.5742i | 0.906563 | + | 1.13679i | ||||
\(926\) | 26.3396 | − | 15.7828i | 0.865572 | − | 0.518655i | ||||
\(927\) | −0.375738 | − | 5.01388i | −0.0123409 | − | 0.164677i | ||||
\(928\) | 27.7561 | − | 22.4259i | 0.911137 | − | 0.736166i | ||||
\(929\) | −7.61467 | + | 8.20666i | −0.249829 | + | 0.269252i | −0.845498 | − | 0.533978i | \(-0.820696\pi\) |
0.595669 | + | 0.803230i | \(0.296887\pi\) | |||||||
\(930\) | 7.48937 | + | 44.7466i | 0.245586 | + | 1.46730i | ||||
\(931\) | −9.20126 | − | 0.995891i | −0.301559 | − | 0.0326390i | ||||
\(932\) | 22.0401 | − | 7.59045i | 0.721947 | − | 0.248633i | ||||
\(933\) | 1.44619 | + | 1.34187i | 0.0473462 | + | 0.0439309i | ||||
\(934\) | −33.0471 | + | 0.536597i | −1.08133 | + | 0.0175580i | ||||
\(935\) | 12.6855 | − | 0.950645i | 0.414860 | − | 0.0310894i | ||||
\(936\) | 5.31243 | − | 6.31623i | 0.173642 | − | 0.206453i | ||||
\(937\) | 27.2436 | − | 21.7260i | 0.890008 | − | 0.709758i | −0.0676365 | − | 0.997710i | \(-0.521546\pi\) |
0.957645 | + | 0.287952i | \(0.0929744\pi\) | |||||||
\(938\) | 33.1023 | − | 44.8265i | 1.08083 | − | 1.46364i | ||||
\(939\) | 21.5031 | + | 17.1481i | 0.701726 | + | 0.559608i | ||||
\(940\) | 0.797066 | + | 24.5377i | 0.0259974 | + | 0.800333i | ||||
\(941\) | −28.2698 | − | 11.0951i | −0.921570 | − | 0.361689i | −0.143343 | − | 0.989673i | \(-0.545785\pi\) |
−0.778227 | + | 0.627984i | \(0.783880\pi\) | |||||||
\(942\) | −6.79298 | − | 13.5390i | −0.221327 | − | 0.441124i | ||||
\(943\) | 0.901087 | − | 12.0242i | 0.0293434 | − | 0.391561i | ||||
\(944\) | 4.67535 | + | 9.95836i | 0.152170 | + | 0.324117i | ||||
\(945\) | −6.04387 | + | 7.91239i | −0.196607 | + | 0.257390i | ||||
\(946\) | 1.31782 | + | 3.20380i | 0.0428460 | + | 0.104165i | ||||
\(947\) | 5.76681 | + | 38.2603i | 0.187396 | + | 1.24329i | 0.862686 | + | 0.505740i | \(0.168781\pi\) |
−0.675290 | + | 0.737553i | \(0.735981\pi\) | |||||||
\(948\) | −4.84936 | + | 17.7477i | −0.157500 | + | 0.576420i | ||||
\(949\) | −1.89443 | − | 3.28125i | −0.0614959 | − | 0.106514i | ||||
\(950\) | −5.99897 | + | 16.0464i | −0.194632 | + | 0.520614i | ||||
\(951\) | −1.74218 | + | 0.838990i | −0.0564941 | + | 0.0272061i | ||||
\(952\) | −52.0670 | + | 11.5995i | −1.68750 | + | 0.375941i | ||||
\(953\) | −37.1382 | − | 17.8848i | −1.20302 | − | 0.579346i | −0.278488 | − | 0.960440i | \(-0.589833\pi\) |
−0.924536 | + | 0.381094i | \(0.875547\pi\) | |||||||
\(954\) | −6.98187 | + | 6.69242i | −0.226046 | + | 0.216675i | ||||
\(955\) | −11.1925 | + | 10.3851i | −0.362180 | + | 0.336054i | ||||
\(956\) | 6.52661 | + | 3.49067i | 0.211086 | + | 0.112896i | ||||
\(957\) | −1.68509 | − | 2.47157i | −0.0544711 | − | 0.0798944i | ||||
\(958\) | 21.5626 | + | 6.26966i | 0.696656 | + | 0.202564i | ||||
\(959\) | 12.1104 | + | 16.9889i | 0.391064 | + | 0.548601i | ||||
\(960\) | −29.8636 | − | 3.81271i | −0.963843 | − | 0.123055i | ||||
\(961\) | −20.8357 | + | 36.0885i | −0.672120 | + | 1.16415i | ||||
\(962\) | 15.3688 | − | 12.6698i | 0.495510 | − | 0.408491i | ||||
\(963\) | −10.7072 | + | 15.7046i | −0.345035 | + | 0.506074i | ||||
\(964\) | −3.67693 | − | 7.04086i | −0.118426 | − | 0.226771i | ||||
\(965\) | 6.16874 | − | 1.40798i | 0.198579 | − | 0.0453243i | ||||
\(966\) | 25.2300 | + | 21.7241i | 0.811762 | + | 0.698961i | ||||
\(967\) | −25.9322 | − | 5.91885i | −0.833923 | − | 0.190338i | −0.215819 | − | 0.976433i | \(-0.569242\pi\) |
−0.618104 | + | 0.786096i | \(0.712099\pi\) | |||||||
\(968\) | −12.5025 | − | 27.7941i | −0.401844 | − | 0.893338i | ||||
\(969\) | −2.77796 | − | 9.00594i | −0.0892411 | − | 0.289312i | ||||
\(970\) | −8.70139 | + | 41.1952i | −0.279385 | + | 1.32270i | ||||
\(971\) | 10.3120 | + | 3.18084i | 0.330929 | + | 0.102078i | 0.455767 | − | 0.890099i | \(-0.349365\pi\) |
−0.124838 | + | 0.992177i | \(0.539841\pi\) | |||||||
\(972\) | 0.669853 | − | 1.88449i | 0.0214855 | − | 0.0604450i | ||||
\(973\) | 9.34921 | + | 28.2035i | 0.299722 | + | 0.904162i | ||||
\(974\) | 26.5176 | − | 29.5265i | 0.849679 | − | 0.946089i | ||||
\(975\) | −24.8866 | + | 9.76726i | −0.797008 | + | 0.312803i | ||||
\(976\) | −8.03561 | + | 7.30990i | −0.257214 | + | 0.233984i | ||||
\(977\) | 4.27970 | + | 0.645061i | 0.136920 | + | 0.0206373i | 0.217145 | − | 0.976139i | \(-0.430326\pi\) |
−0.0802247 | + | 0.996777i | \(0.525564\pi\) | |||||||
\(978\) | 6.63482 | − | 10.0793i | 0.212158 | − | 0.322299i | ||||
\(979\) | −4.15202 | −0.132699 | ||||||||
\(980\) | −19.2748 | + | 49.0331i | −0.615710 | + | 1.56630i | ||||
\(981\) | −8.67683 | −0.277030 | ||||||||
\(982\) | −23.7165 | + | 36.0288i | −0.756823 | + | 1.14973i | ||||
\(983\) | −29.0099 | − | 4.37254i | −0.925273 | − | 0.139462i | −0.330913 | − | 0.943661i | \(-0.607357\pi\) |
−0.594360 | + | 0.804199i | \(0.702595\pi\) | |||||||
\(984\) | −3.22205 | + | 2.07573i | −0.102715 | + | 0.0661719i | ||||
\(985\) | −0.775313 | + | 0.304288i | −0.0247035 | + | 0.00969542i | ||||
\(986\) | 42.4904 | − | 47.3116i | 1.35317 | − | 1.50671i | ||||
\(987\) | −8.59069 | + | 0.824583i | −0.273445 | + | 0.0262468i | ||||
\(988\) | 7.27032 | + | 2.58428i | 0.231300 | + | 0.0822170i | ||||
\(989\) | 43.9224 | + | 13.5483i | 1.39665 | + | 0.430810i | ||||
\(990\) | −0.521573 | + | 2.46929i | −0.0165767 | + | 0.0784793i | ||||
\(991\) | 13.3374 | + | 43.2389i | 0.423678 | + | 1.37353i | 0.876273 | + | 0.481814i | \(0.160022\pi\) |
−0.452596 | + | 0.891716i | \(0.649502\pi\) | |||||||
\(992\) | −33.0250 | − | 35.1402i | −1.04855 | − | 1.11570i | ||||
\(993\) | −17.6903 | − | 4.03769i | −0.561384 | − | 0.128132i | ||||
\(994\) | 1.44111 | − | 38.2368i | 0.0457093 | − | 1.21280i | ||||
\(995\) | 8.90225 | − | 2.03188i | 0.282220 | − | 0.0644150i | ||||
\(996\) | 24.2369 | − | 12.6572i | 0.767976 | − | 0.401058i | ||||
\(997\) | 18.5177 | − | 27.1605i | 0.586463 | − | 0.860183i | −0.412241 | − | 0.911075i | \(-0.635254\pi\) |
0.998704 | + | 0.0508917i | \(0.0162063\pi\) | |||||||
\(998\) | −3.99709 | + | 3.29514i | −0.126526 | + | 0.104306i | ||||
\(999\) | 2.41333 | − | 4.18002i | 0.0763545 | − | 0.132250i |
(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 | 588.2.ba.b.187.6 | yes | 336 | |
4.3 | odd | 2 | 588.2.ba.a.187.9 | ✓ | 336 | ||
49.38 | odd | 42 | 588.2.ba.a.283.9 | yes | 336 | ||
196.87 | even | 42 | inner | 588.2.ba.b.283.6 | yes | 336 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
588.2.ba.a.187.9 | ✓ | 336 | 4.3 | odd | 2 | ||
588.2.ba.a.283.9 | yes | 336 | 49.38 | odd | 42 | ||
588.2.ba.b.187.6 | yes | 336 | 1.1 | even | 1 | trivial | |
588.2.ba.b.283.6 | yes | 336 | 196.87 | even | 42 | inner |