Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [520,2,Mod(101,520)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(520, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("520.101");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 520 = 2^{3} \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 520.ca (of order \(6\), degree \(2\), 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: | \(4.15222090511\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 381.23 | ||
Character | \(\chi\) | \(=\) | 520.381 |
Dual form | 520.2.ca.b.101.23 |
$q$-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 \(\left(\mathbb{Z}/520\mathbb{Z}\right)^\times\).
\(n\) | \(41\) | \(261\) | \(391\) | \(417\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) | \(1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.23752 | − | 0.684499i | 0.875060 | − | 0.484014i | ||||
\(3\) | −1.48693 | − | 0.858477i | −0.858477 | − | 0.495642i | 0.00502500 | − | 0.999987i | \(-0.498400\pi\) |
−0.863502 | + | 0.504345i | \(0.831734\pi\) | |||||||
\(4\) | 1.06292 | − | 1.69417i | 0.531461 | − | 0.847083i | ||||
\(5\) | 1.00000 | 0.447214 | ||||||||
\(6\) | −2.42773 | − | 0.0445847i | −0.991117 | − | 0.0182016i | ||||
\(7\) | −3.27445 | + | 1.89050i | −1.23763 | + | 0.714543i | −0.968608 | − | 0.248592i | \(-0.920032\pi\) |
−0.269017 | + | 0.963135i | \(0.586699\pi\) | |||||||
\(8\) | 0.155734 | − | 2.82414i | 0.0550602 | − | 0.998483i | ||||
\(9\) | −0.0260346 | − | 0.0450933i | −0.00867820 | − | 0.0150311i | ||||
\(10\) | 1.23752 | − | 0.684499i | 0.391339 | − | 0.216458i | ||||
\(11\) | 1.16530 | − | 2.01837i | 0.351352 | − | 0.608560i | −0.635134 | − | 0.772402i | \(-0.719055\pi\) |
0.986487 | + | 0.163842i | \(0.0523886\pi\) | |||||||
\(12\) | −3.03489 | + | 1.60660i | −0.876097 | + | 0.463787i | ||||
\(13\) | −0.0528676 | − | 3.60516i | −0.0146628 | − | 0.999892i | ||||
\(14\) | −2.75815 | + | 4.58090i | −0.737148 | + | 1.22430i | ||||
\(15\) | −1.48693 | − | 0.858477i | −0.383923 | − | 0.221658i | ||||
\(16\) | −1.74040 | − | 3.60153i | −0.435099 | − | 0.900383i | ||||
\(17\) | −3.14614 | − | 5.44928i | −0.763052 | − | 1.32164i | −0.941270 | − | 0.337654i | \(-0.890367\pi\) |
0.178219 | − | 0.983991i | \(-0.442967\pi\) | |||||||
\(18\) | −0.0630847 | − | 0.0379832i | −0.0148692 | − | 0.00895273i | ||||
\(19\) | −0.665809 | − | 1.15321i | −0.152747 | − | 0.264566i | 0.779489 | − | 0.626415i | \(-0.215479\pi\) |
−0.932236 | + | 0.361850i | \(0.882145\pi\) | |||||||
\(20\) | 1.06292 | − | 1.69417i | 0.237677 | − | 0.378827i | ||||
\(21\) | 6.49182 | 1.41663 | ||||||||
\(22\) | 0.0605196 | − | 3.29542i | 0.0129028 | − | 0.702586i | ||||
\(23\) | −2.99275 | + | 5.18359i | −0.624031 | + | 1.08085i | 0.364697 | + | 0.931126i | \(0.381173\pi\) |
−0.988727 | + | 0.149727i | \(0.952161\pi\) | |||||||
\(24\) | −2.65602 | + | 4.06559i | −0.542158 | + | 0.829885i | ||||
\(25\) | 1.00000 | 0.200000 | ||||||||
\(26\) | −2.53316 | − | 4.42528i | −0.496793 | − | 0.867869i | ||||
\(27\) | 5.24026i | 1.00849i | ||||||||
\(28\) | −0.277656 | + | 7.55692i | −0.0524720 | + | 1.42812i | ||||
\(29\) | 1.31297 | + | 0.758042i | 0.243812 | + | 0.140765i | 0.616928 | − | 0.787020i | \(-0.288377\pi\) |
−0.373116 | + | 0.927785i | \(0.621710\pi\) | |||||||
\(30\) | −2.42773 | − | 0.0445847i | −0.443241 | − | 0.00814001i | ||||
\(31\) | 0.175867i | 0.0315867i | 0.999875 | + | 0.0157934i | \(0.00502739\pi\) | ||||
−0.999875 | + | 0.0157934i | \(0.994973\pi\) | |||||||
\(32\) | −4.61902 | − | 3.26567i | −0.816536 | − | 0.577295i | ||||
\(33\) | −3.46544 | + | 2.00077i | −0.603256 | + | 0.348290i | ||||
\(34\) | −7.62345 | − | 4.59007i | −1.30741 | − | 0.787191i | ||||
\(35\) | −3.27445 | + | 1.89050i | −0.553483 | + | 0.319553i | ||||
\(36\) | −0.104068 | − | 0.00382366i | −0.0173447 | − | 0.000637277i | ||||
\(37\) | 2.04154 | − | 3.53606i | 0.335628 | − | 0.581325i | −0.647977 | − | 0.761660i | \(-0.724385\pi\) |
0.983605 | + | 0.180335i | \(0.0577182\pi\) | |||||||
\(38\) | −1.61333 | − | 0.971383i | −0.261716 | − | 0.157579i | ||||
\(39\) | −3.01634 | + | 5.40600i | −0.483001 | + | 0.865652i | ||||
\(40\) | 0.155734 | − | 2.82414i | 0.0246237 | − | 0.446535i | ||||
\(41\) | 10.9364 | + | 6.31412i | 1.70797 | + | 0.986100i | 0.937065 | + | 0.349155i | \(0.113531\pi\) |
0.770910 | + | 0.636944i | \(0.219802\pi\) | |||||||
\(42\) | 8.03377 | − | 4.44364i | 1.23964 | − | 0.685669i | ||||
\(43\) | 7.71694 | − | 4.45538i | 1.17682 | − | 0.679439i | 0.221545 | − | 0.975150i | \(-0.428890\pi\) |
0.955277 | + | 0.295712i | \(0.0955567\pi\) | |||||||
\(44\) | −2.18082 | − | 4.11958i | −0.328771 | − | 0.621050i | ||||
\(45\) | −0.0260346 | − | 0.0450933i | −0.00388101 | − | 0.00672211i | ||||
\(46\) | −0.155427 | + | 8.46334i | −0.0229165 | + | 1.24785i | ||||
\(47\) | 3.15054i | 0.459553i | 0.973243 | + | 0.229776i | \(0.0737995\pi\) | ||||
−0.973243 | + | 0.229776i | \(0.926200\pi\) | |||||||
\(48\) | −0.503993 | + | 6.84930i | −0.0727451 | + | 0.988611i | ||||
\(49\) | 3.64801 | − | 6.31854i | 0.521144 | − | 0.902648i | ||||
\(50\) | 1.23752 | − | 0.684499i | 0.175012 | − | 0.0968028i | ||||
\(51\) | 10.8036i | 1.51280i | ||||||||
\(52\) | −6.16394 | − | 3.74244i | −0.854785 | − | 0.518983i | ||||
\(53\) | − | 0.254973i | − | 0.0350232i | −0.999847 | − | 0.0175116i | \(-0.994426\pi\) | ||
0.999847 | − | 0.0175116i | \(-0.00557440\pi\) | |||||||
\(54\) | 3.58696 | + | 6.48494i | 0.488123 | + | 0.882489i | ||||
\(55\) | 1.16530 | − | 2.01837i | 0.157130 | − | 0.272156i | ||||
\(56\) | 4.82910 | + | 9.54191i | 0.645315 | + | 1.27509i | ||||
\(57\) | 2.28633i | 0.302831i | ||||||||
\(58\) | 2.14371 | + | 0.0393686i | 0.281482 | + | 0.00516936i | ||||
\(59\) | −5.61545 | − | 9.72625i | −0.731070 | − | 1.26625i | −0.956426 | − | 0.291974i | \(-0.905688\pi\) |
0.225357 | − | 0.974276i | \(-0.427645\pi\) | |||||||
\(60\) | −3.03489 | + | 1.60660i | −0.391802 | + | 0.207412i | ||||
\(61\) | 0.168400 | − | 0.0972260i | 0.0215615 | − | 0.0124485i | −0.489181 | − | 0.872183i | \(-0.662704\pi\) |
0.510742 | + | 0.859734i | \(0.329371\pi\) | |||||||
\(62\) | 0.120381 | + | 0.217640i | 0.0152884 | + | 0.0276403i | ||||
\(63\) | 0.170498 | + | 0.0984370i | 0.0214807 | + | 0.0124019i | ||||
\(64\) | −7.95149 | − | 0.879627i | −0.993937 | − | 0.109953i | ||||
\(65\) | −0.0528676 | − | 3.60516i | −0.00655741 | − | 0.447166i | ||||
\(66\) | −2.91903 | + | 4.84809i | −0.359308 | + | 0.596759i | ||||
\(67\) | 2.63154 | − | 4.55797i | 0.321494 | − | 0.556844i | −0.659302 | − | 0.751878i | \(-0.729148\pi\) |
0.980797 | + | 0.195034i | \(0.0624816\pi\) | |||||||
\(68\) | −12.5761 | − | 0.462069i | −1.52507 | − | 0.0560342i | ||||
\(69\) | 8.89998 | − | 5.13841i | 1.07143 | − | 0.618592i | ||||
\(70\) | −2.75815 | + | 4.58090i | −0.329662 | + | 0.547522i | ||||
\(71\) | 11.0198 | − | 6.36229i | 1.30781 | − | 0.755064i | 0.326080 | − | 0.945342i | \(-0.394272\pi\) |
0.981730 | + | 0.190278i | \(0.0609389\pi\) | |||||||
\(72\) | −0.131404 | + | 0.0665027i | −0.0154861 | + | 0.00783742i | ||||
\(73\) | − | 1.93736i | − | 0.226751i | −0.993552 | − | 0.113376i | \(-0.963834\pi\) | ||
0.993552 | − | 0.113376i | \(-0.0361663\pi\) | |||||||
\(74\) | 0.106027 | − | 5.77339i | 0.0123254 | − | 0.671143i | ||||
\(75\) | −1.48693 | − | 0.858477i | −0.171695 | − | 0.0991284i | ||||
\(76\) | −2.66144 | − | 0.0977864i | −0.305288 | − | 0.0112169i | ||||
\(77\) | 8.81205i | 1.00423i | ||||||||
\(78\) | −0.0323869 | + | 8.75472i | −0.00366710 | + | 0.991277i | ||||
\(79\) | 6.68977 | 0.752657 | 0.376329 | − | 0.926486i | \(-0.377186\pi\) | ||||
0.376329 | + | 0.926486i | \(0.377186\pi\) | |||||||
\(80\) | −1.74040 | − | 3.60153i | −0.194582 | − | 0.402663i | ||||
\(81\) | 4.42054 | − | 7.65660i | 0.491171 | − | 0.850733i | ||||
\(82\) | 17.8560 | + | 0.327921i | 1.97187 | + | 0.0362129i | ||||
\(83\) | −6.27137 | −0.688372 | −0.344186 | − | 0.938901i | \(-0.611845\pi\) | ||||
−0.344186 | + | 0.938901i | \(0.611845\pi\) | |||||||
\(84\) | 6.90029 | − | 10.9982i | 0.752884 | − | 1.20000i | ||||
\(85\) | −3.14614 | − | 5.44928i | −0.341247 | − | 0.591057i | ||||
\(86\) | 6.50018 | − | 10.7959i | 0.700932 | − | 1.16415i | ||||
\(87\) | −1.30152 | − | 2.25431i | −0.139538 | − | 0.241687i | ||||
\(88\) | −5.51866 | − | 3.60531i | −0.588291 | − | 0.384327i | ||||
\(89\) | −9.69902 | − | 5.59973i | −1.02809 | − | 0.593570i | −0.111656 | − | 0.993747i | \(-0.535615\pi\) |
−0.916438 | + | 0.400177i | \(0.868949\pi\) | |||||||
\(90\) | −0.0630847 | − | 0.0379832i | −0.00664971 | − | 0.00400378i | ||||
\(91\) | 6.98869 | + | 11.7050i | 0.732614 | + | 1.22702i | ||||
\(92\) | 5.60080 | + | 10.5800i | 0.583924 | + | 1.10304i | ||||
\(93\) | 0.150978 | − | 0.261502i | 0.0156557 | − | 0.0271165i | ||||
\(94\) | 2.15654 | + | 3.89886i | 0.222430 | + | 0.402136i | ||||
\(95\) | −0.665809 | − | 1.15321i | −0.0683106 | − | 0.118317i | ||||
\(96\) | 4.06464 | + | 8.82114i | 0.414845 | + | 0.900304i | ||||
\(97\) | −10.4194 | + | 6.01565i | −1.05793 | + | 0.610797i | −0.924859 | − | 0.380310i | \(-0.875817\pi\) |
−0.133072 | + | 0.991106i | \(0.542484\pi\) | |||||||
\(98\) | 0.189458 | − | 10.3164i | 0.0191382 | − | 1.04211i | ||||
\(99\) | −0.121353 | −0.0121964 | ||||||||
\(100\) | 1.06292 | − | 1.69417i | 0.106292 | − | 0.169417i | ||||
\(101\) | 14.5244 | + | 8.38564i | 1.44523 | + | 0.834403i | 0.998192 | − | 0.0601130i | \(-0.0191461\pi\) |
0.447036 | + | 0.894516i | \(0.352479\pi\) | |||||||
\(102\) | 7.39503 | + | 13.3697i | 0.732217 | + | 1.32379i | ||||
\(103\) | 12.0728 | 1.18956 | 0.594782 | − | 0.803887i | \(-0.297238\pi\) | ||||
0.594782 | + | 0.803887i | \(0.297238\pi\) | |||||||
\(104\) | −10.1897 | − | 0.412141i | −0.999183 | − | 0.0404137i | ||||
\(105\) | 6.49182 | 0.633536 | ||||||||
\(106\) | −0.174529 | − | 0.315534i | −0.0169517 | − | 0.0306474i | ||||
\(107\) | 1.30443 | + | 0.753114i | 0.126104 | + | 0.0728063i | 0.561725 | − | 0.827324i | \(-0.310138\pi\) |
−0.435621 | + | 0.900130i | \(0.643471\pi\) | |||||||
\(108\) | 8.87787 | + | 5.56999i | 0.854274 | + | 0.535972i | ||||
\(109\) | 9.53492 | 0.913280 | 0.456640 | − | 0.889652i | \(-0.349053\pi\) | ||||
0.456640 | + | 0.889652i | \(0.349053\pi\) | |||||||
\(110\) | 0.0605196 | − | 3.29542i | 0.00577032 | − | 0.314206i | ||||
\(111\) | −6.07125 | + | 3.50524i | −0.576258 | + | 0.332702i | ||||
\(112\) | 12.5075 | + | 8.50280i | 1.18185 | + | 0.803440i | ||||
\(113\) | 6.25763 | + | 10.8385i | 0.588669 | + | 1.01960i | 0.994407 | + | 0.105615i | \(0.0336810\pi\) |
−0.405739 | + | 0.913989i | \(0.632986\pi\) | |||||||
\(114\) | 1.56499 | + | 2.82938i | 0.146575 | + | 0.264996i | ||||
\(115\) | −2.99275 | + | 5.18359i | −0.279075 | + | 0.483372i | ||||
\(116\) | 2.67983 | − | 1.41865i | 0.248816 | − | 0.131718i | ||||
\(117\) | −0.161192 | + | 0.0962430i | −0.0149022 | + | 0.00889767i | ||||
\(118\) | −13.6069 | − | 8.19268i | −1.25261 | − | 0.754197i | ||||
\(119\) | 20.6038 | + | 11.8956i | 1.88874 | + | 1.09047i | ||||
\(120\) | −2.65602 | + | 4.06559i | −0.242460 | + | 0.371136i | ||||
\(121\) | 2.78413 | + | 4.82226i | 0.253103 | + | 0.438387i | ||||
\(122\) | 0.141848 | − | 0.235589i | 0.0128423 | − | 0.0213292i | ||||
\(123\) | −10.8411 | − | 18.7773i | −0.977505 | − | 1.69309i | ||||
\(124\) | 0.297949 | + | 0.186933i | 0.0267566 | + | 0.0167871i | ||||
\(125\) | 1.00000 | 0.0894427 | ||||||||
\(126\) | 0.278375 | + | 0.00511229i | 0.0247996 | + | 0.000455439i | ||||
\(127\) | −7.06335 | + | 12.2341i | −0.626771 | + | 1.08560i | 0.361424 | + | 0.932401i | \(0.382291\pi\) |
−0.988195 | + | 0.153198i | \(0.951043\pi\) | |||||||
\(128\) | −10.4423 | + | 4.35423i | −0.922974 | + | 0.384863i | ||||
\(129\) | −15.2994 | −1.34703 | ||||||||
\(130\) | −2.53316 | − | 4.42528i | −0.222173 | − | 0.388123i | ||||
\(131\) | − | 20.5359i | − | 1.79423i | −0.441794 | − | 0.897117i | \(-0.645658\pi\) | ||
0.441794 | − | 0.897117i | \(-0.354342\pi\) | |||||||
\(132\) | −0.293851 | + | 7.99770i | −0.0255764 | + | 0.696110i | ||||
\(133\) | 4.36031 | + | 2.51743i | 0.378087 | + | 0.218289i | ||||
\(134\) | 0.136668 | − | 7.44188i | 0.0118063 | − | 0.642880i | ||||
\(135\) | 5.24026i | 0.451010i | ||||||||
\(136\) | −15.8795 | + | 8.03650i | −1.36165 | + | 0.689124i | ||||
\(137\) | 12.9467 | − | 7.47477i | 1.10611 | − | 0.638613i | 0.168290 | − | 0.985737i | \(-0.446175\pi\) |
0.937819 | + | 0.347125i | \(0.112842\pi\) | |||||||
\(138\) | 7.49669 | − | 12.4509i | 0.638161 | − | 1.05989i | ||||
\(139\) | −10.5767 | + | 6.10645i | −0.897102 | + | 0.517942i | −0.876259 | − | 0.481841i | \(-0.839968\pi\) |
−0.0208432 | + | 0.999783i | \(0.506635\pi\) | |||||||
\(140\) | −0.277656 | + | 7.55692i | −0.0234662 | + | 0.638676i | ||||
\(141\) | 2.70466 | − | 4.68461i | 0.227774 | − | 0.394516i | ||||
\(142\) | 9.28227 | − | 15.4165i | 0.778951 | − | 1.29373i | ||||
\(143\) | −7.33815 | − | 4.09441i | −0.613647 | − | 0.342391i | ||||
\(144\) | −0.117094 | + | 0.172245i | −0.00975785 | + | 0.0143537i | ||||
\(145\) | 1.31297 | + | 0.758042i | 0.109036 | + | 0.0629520i | ||||
\(146\) | −1.32612 | − | 2.39753i | −0.109751 | − | 0.198421i | ||||
\(147\) | −10.8486 | + | 6.26346i | −0.894781 | + | 0.516602i | ||||
\(148\) | −3.82067 | − | 7.21727i | −0.314057 | − | 0.593256i | ||||
\(149\) | 5.01036 | + | 8.67820i | 0.410465 | + | 0.710945i | 0.994941 | − | 0.100466i | \(-0.0320332\pi\) |
−0.584476 | + | 0.811411i | \(0.698700\pi\) | |||||||
\(150\) | −2.42773 | − | 0.0445847i | −0.198223 | − | 0.00364032i | ||||
\(151\) | 8.71512i | 0.709226i | 0.935013 | + | 0.354613i | \(0.115387\pi\) | ||||
−0.935013 | + | 0.354613i | \(0.884613\pi\) | |||||||
\(152\) | −3.36053 | + | 1.70074i | −0.272575 | + | 0.137948i | ||||
\(153\) | −0.163817 | + | 0.283740i | −0.0132438 | + | 0.0229390i | ||||
\(154\) | 6.03184 | + | 10.9051i | 0.486059 | + | 0.878758i | ||||
\(155\) | 0.175867i | 0.0141260i | ||||||||
\(156\) | 5.95252 | + | 10.8563i | 0.476583 | + | 0.869202i | ||||
\(157\) | − | 6.14509i | − | 0.490432i | −0.969469 | − | 0.245216i | \(-0.921141\pi\) | ||
0.969469 | − | 0.245216i | \(-0.0788588\pi\) | |||||||
\(158\) | 8.27873 | − | 4.57914i | 0.658621 | − | 0.364297i | ||||
\(159\) | −0.218888 | + | 0.379125i | −0.0173590 | + | 0.0300666i | ||||
\(160\) | −4.61902 | − | 3.26567i | −0.365166 | − | 0.258174i | ||||
\(161\) | − | 22.6312i | − | 1.78359i | ||||||
\(162\) | 0.229579 | − | 12.5011i | 0.0180374 | − | 0.982177i | ||||
\(163\) | −0.384950 | − | 0.666754i | −0.0301516 | − | 0.0522242i | 0.850556 | − | 0.525885i | \(-0.176266\pi\) |
−0.880707 | + | 0.473661i | \(0.842932\pi\) | |||||||
\(164\) | 22.3217 | − | 11.8166i | 1.74303 | − | 0.922723i | ||||
\(165\) | −3.46544 | + | 2.00077i | −0.269784 | + | 0.155760i | ||||
\(166\) | −7.76096 | + | 4.29275i | −0.602367 | + | 0.333182i | ||||
\(167\) | −13.5832 | − | 7.84229i | −1.05110 | − | 0.606854i | −0.128145 | − | 0.991755i | \(-0.540902\pi\) |
−0.922958 | + | 0.384901i | \(0.874236\pi\) | |||||||
\(168\) | 1.01100 | − | 18.3338i | 0.0780000 | − | 1.41448i | ||||
\(169\) | −12.9944 | + | 0.381192i | −0.999570 | + | 0.0293225i | ||||
\(170\) | −7.62345 | − | 4.59007i | −0.584692 | − | 0.352042i | ||||
\(171\) | −0.0346681 | + | 0.0600470i | −0.00265114 | + | 0.00459191i | ||||
\(172\) | 0.654355 | − | 17.8095i | 0.0498941 | − | 1.35796i | ||||
\(173\) | −18.1984 | + | 10.5068i | −1.38360 | + | 0.798821i | −0.992584 | − | 0.121564i | \(-0.961209\pi\) |
−0.391014 | + | 0.920385i | \(0.627876\pi\) | |||||||
\(174\) | −3.15373 | − | 1.89886i | −0.239084 | − | 0.143952i | ||||
\(175\) | −3.27445 | + | 1.89050i | −0.247525 | + | 0.142909i | ||||
\(176\) | −9.29730 | − | 0.684124i | −0.700810 | − | 0.0515678i | ||||
\(177\) | 19.2829i | 1.44940i | ||||||||
\(178\) | −15.8358 | − | 0.290820i | −1.18694 | − | 0.0217979i | ||||
\(179\) | −9.05923 | − | 5.23035i | −0.677119 | − | 0.390935i | 0.121650 | − | 0.992573i | \(-0.461182\pi\) |
−0.798769 | + | 0.601638i | \(0.794515\pi\) | |||||||
\(180\) | −0.104068 | − | 0.00382366i | −0.00775678 | − | 0.000284999i | ||||
\(181\) | 7.70297i | 0.572557i | 0.958146 | + | 0.286279i | \(0.0924183\pi\) | ||||
−0.958146 | + | 0.286279i | \(0.907582\pi\) | |||||||
\(182\) | 16.6607 | + | 9.70142i | 1.23497 | + | 0.719117i | ||||
\(183\) | −0.333865 | −0.0246800 | ||||||||
\(184\) | 14.1731 | + | 9.25918i | 1.04485 | + | 0.682596i | ||||
\(185\) | 2.04154 | − | 3.53606i | 0.150097 | − | 0.259976i | ||||
\(186\) | 0.00784099 | − | 0.426959i | 0.000574930 | − | 0.0313061i | ||||
\(187\) | −14.6649 | −1.07240 | ||||||||
\(188\) | 5.33753 | + | 3.34877i | 0.389279 | + | 0.244234i | ||||
\(189\) | −9.90674 | − | 17.1590i | −0.720609 | − | 1.24813i | ||||
\(190\) | −1.61333 | − | 0.971383i | −0.117043 | − | 0.0704715i | ||||
\(191\) | −9.37985 | − | 16.2464i | −0.678702 | − | 1.17555i | −0.975372 | − | 0.220566i | \(-0.929209\pi\) |
0.296670 | − | 0.954980i | \(-0.404124\pi\) | |||||||
\(192\) | 11.0681 | + | 8.13411i | 0.798774 | + | 0.587029i | ||||
\(193\) | −3.47863 | − | 2.00839i | −0.250397 | − | 0.144567i | 0.369549 | − | 0.929211i | \(-0.379512\pi\) |
−0.619946 | + | 0.784644i | \(0.712846\pi\) | |||||||
\(194\) | −8.77655 | + | 14.5766i | −0.630119 | + | 1.04654i | ||||
\(195\) | −3.01634 | + | 5.40600i | −0.216005 | + | 0.387131i | ||||
\(196\) | −6.82710 | − | 12.8964i | −0.487650 | − | 0.921175i | ||||
\(197\) | 1.39166 | − | 2.41042i | 0.0991513 | − | 0.171735i | −0.812182 | − | 0.583404i | \(-0.801721\pi\) |
0.911334 | + | 0.411669i | \(0.135054\pi\) | |||||||
\(198\) | −0.150177 | + | 0.0830660i | −0.0106726 | + | 0.00590324i | ||||
\(199\) | −6.10093 | − | 10.5671i | −0.432483 | − | 0.749083i | 0.564603 | − | 0.825362i | \(-0.309029\pi\) |
−0.997086 | + | 0.0762796i | \(0.975696\pi\) | |||||||
\(200\) | 0.155734 | − | 2.82414i | 0.0110120 | − | 0.199697i | ||||
\(201\) | −7.82582 | + | 4.51824i | −0.551991 | + | 0.318692i | ||||
\(202\) | 23.7142 | + | 0.435505i | 1.66852 | + | 0.0306420i | ||||
\(203\) | −5.73233 | −0.402331 | ||||||||
\(204\) | 18.3030 | + | 11.4833i | 1.28147 | + | 0.803995i | ||||
\(205\) | 10.9364 | + | 6.31412i | 0.763830 | + | 0.440997i | ||||
\(206\) | 14.9403 | − | 8.26380i | 1.04094 | − | 0.575766i | ||||
\(207\) | 0.311660 | 0.0216619 | ||||||||
\(208\) | −12.8921 | + | 6.46481i | −0.893906 | + | 0.448254i | ||||
\(209\) | −3.10348 | −0.214672 | ||||||||
\(210\) | 8.03377 | − | 4.44364i | 0.554382 | − | 0.306641i | ||||
\(211\) | 7.42770 | + | 4.28838i | 0.511344 | + | 0.295224i | 0.733386 | − | 0.679813i | \(-0.237939\pi\) |
−0.222042 | + | 0.975037i | \(0.571272\pi\) | |||||||
\(212\) | −0.431966 | − | 0.271016i | −0.0296675 | − | 0.0186135i | ||||
\(213\) | −21.8475 | −1.49697 | ||||||||
\(214\) | 2.12977 | + | 0.0391127i | 0.145588 | + | 0.00267369i | ||||
\(215\) | 7.71694 | − | 4.45538i | 0.526291 | − | 0.303854i | ||||
\(216\) | 14.7992 | + | 0.816086i | 1.00696 | + | 0.0555276i | ||||
\(217\) | −0.332478 | − | 0.575869i | −0.0225701 | − | 0.0390925i | ||||
\(218\) | 11.7997 | − | 6.52664i | 0.799175 | − | 0.442040i | ||||
\(219\) | −1.66318 | + | 2.88071i | −0.112387 | + | 0.194661i | ||||
\(220\) | −2.18082 | − | 4.11958i | −0.147031 | − | 0.277742i | ||||
\(221\) | −19.4792 | + | 11.6305i | −1.31031 | + | 0.782349i | ||||
\(222\) | −5.11397 | + | 8.49358i | −0.343227 | + | 0.570051i | ||||
\(223\) | 9.18226 | + | 5.30138i | 0.614889 | + | 0.355007i | 0.774877 | − | 0.632113i | \(-0.217812\pi\) |
−0.159987 | + | 0.987119i | \(0.551145\pi\) | |||||||
\(224\) | 21.2985 | + | 1.96100i | 1.42307 | + | 0.131025i | ||||
\(225\) | −0.0260346 | − | 0.0450933i | −0.00173564 | − | 0.00300622i | ||||
\(226\) | 15.1629 | + | 9.12958i | 1.00862 | + | 0.607291i | ||||
\(227\) | −4.65600 | − | 8.06442i | −0.309029 | − | 0.535255i | 0.669121 | − | 0.743154i | \(-0.266671\pi\) |
−0.978150 | + | 0.207899i | \(0.933337\pi\) | |||||||
\(228\) | 3.87342 | + | 2.43019i | 0.256523 | + | 0.160943i | ||||
\(229\) | 21.7598 | 1.43793 | 0.718964 | − | 0.695048i | \(-0.244617\pi\) | ||||
0.718964 | + | 0.695048i | \(0.244617\pi\) | |||||||
\(230\) | −0.155427 | + | 8.46334i | −0.0102486 | + | 0.558056i | ||||
\(231\) | 7.56494 | − | 13.1029i | 0.497736 | − | 0.862105i | ||||
\(232\) | 2.34529 | − | 3.58995i | 0.153976 | − | 0.235692i | ||||
\(233\) | −3.12022 | −0.204413 | −0.102206 | − | 0.994763i | \(-0.532590\pi\) | ||||
−0.102206 | + | 0.994763i | \(0.532590\pi\) | |||||||
\(234\) | −0.133601 | + | 0.229439i | −0.00873375 | + | 0.0149989i | ||||
\(235\) | 3.15054i | 0.205518i | ||||||||
\(236\) | −22.4467 | − | 0.824733i | −1.46115 | − | 0.0536856i | ||||
\(237\) | −9.94718 | − | 5.74301i | −0.646139 | − | 0.373049i | ||||
\(238\) | 33.6401 | + | 0.617793i | 2.18057 | + | 0.0400456i | ||||
\(239\) | 4.36798i | 0.282541i | 0.989971 | + | 0.141271i | \(0.0451188\pi\) | ||||
−0.989971 | + | 0.141271i | \(0.954881\pi\) | |||||||
\(240\) | −0.503993 | + | 6.84930i | −0.0325326 | + | 0.442120i | ||||
\(241\) | −11.2602 | + | 6.50109i | −0.725334 | + | 0.418772i | −0.816713 | − | 0.577044i | \(-0.804206\pi\) |
0.0913788 | + | 0.995816i | \(0.470873\pi\) | |||||||
\(242\) | 6.74626 | + | 4.06192i | 0.433666 | + | 0.261110i | ||||
\(243\) | 0.468570 | − | 0.270529i | 0.0300588 | − | 0.0173544i | ||||
\(244\) | 0.0142794 | − | 0.388642i | 0.000914148 | − | 0.0248802i | ||||
\(245\) | 3.64801 | − | 6.31854i | 0.233063 | − | 0.403677i | ||||
\(246\) | −26.2691 | − | 15.8166i | −1.67485 | − | 1.00843i | ||||
\(247\) | −4.12233 | + | 2.46132i | −0.262298 | + | 0.156610i | ||||
\(248\) | 0.496674 | + | 0.0273885i | 0.0315388 | + | 0.00173917i | ||||
\(249\) | 9.32506 | + | 5.38383i | 0.590952 | + | 0.341186i | ||||
\(250\) | 1.23752 | − | 0.684499i | 0.0782678 | − | 0.0432915i | ||||
\(251\) | −13.3490 | + | 7.70706i | −0.842583 | + | 0.486465i | −0.858141 | − | 0.513414i | \(-0.828381\pi\) |
0.0155586 | + | 0.999879i | \(0.495047\pi\) | |||||||
\(252\) | 0.347995 | − | 0.184221i | 0.0219216 | − | 0.0116048i | ||||
\(253\) | 6.97492 | + | 12.0809i | 0.438509 | + | 0.759520i | ||||
\(254\) | −0.366833 | + | 19.9748i | −0.0230171 | + | 1.25333i | ||||
\(255\) | 10.8036i | 0.676546i | ||||||||
\(256\) | −9.94205 | + | 12.5362i | −0.621378 | + | 0.783511i | ||||
\(257\) | 7.95763 | − | 13.7830i | 0.496383 | − | 0.859761i | −0.503608 | − | 0.863932i | \(-0.667994\pi\) |
0.999991 | + | 0.00417130i | \(0.00132777\pi\) | |||||||
\(258\) | −18.9333 | + | 10.4724i | −1.17874 | + | 0.651983i | ||||
\(259\) | 15.4382i | 0.959283i | ||||||||
\(260\) | −6.16394 | − | 3.74244i | −0.382271 | − | 0.232096i | ||||
\(261\) | − | 0.0789413i | − | 0.00488634i | ||||||
\(262\) | −14.0568 | − | 25.4137i | −0.868434 | − | 1.57006i | ||||
\(263\) | 8.32944 | − | 14.4270i | 0.513615 | − | 0.889607i | −0.486260 | − | 0.873814i | \(-0.661639\pi\) |
0.999875 | − | 0.0157934i | \(-0.00502740\pi\) | |||||||
\(264\) | 5.11077 | + | 10.0985i | 0.314546 | + | 0.621518i | ||||
\(265\) | − | 0.254973i | − | 0.0156628i | ||||||
\(266\) | 7.11916 | + | 0.130742i | 0.436504 | + | 0.00801629i | ||||
\(267\) | 9.61448 | + | 16.6528i | 0.588397 | + | 1.01913i | ||||
\(268\) | −4.92483 | − | 9.30304i | −0.300832 | − | 0.568273i | ||||
\(269\) | −17.4012 | + | 10.0466i | −1.06097 | + | 0.612550i | −0.925700 | − | 0.378259i | \(-0.876523\pi\) |
−0.135268 | + | 0.990809i | \(0.543189\pi\) | |||||||
\(270\) | 3.58696 | + | 6.48494i | 0.218295 | + | 0.394661i | ||||
\(271\) | 1.29637 | + | 0.748460i | 0.0787489 | + | 0.0454657i | 0.538857 | − | 0.842397i | \(-0.318856\pi\) |
−0.460108 | + | 0.887863i | \(0.652189\pi\) | |||||||
\(272\) | −14.1502 | + | 20.8148i | −0.857983 | + | 1.26208i | ||||
\(273\) | −0.343206 | − | 23.4041i | −0.0207718 | − | 1.41648i | ||||
\(274\) | 10.9053 | − | 18.1122i | 0.658815 | − | 1.09420i | ||||
\(275\) | 1.16530 | − | 2.01837i | 0.0702705 | − | 0.121712i | ||||
\(276\) | 0.754670 | − | 20.5398i | 0.0454258 | − | 1.23635i | ||||
\(277\) | 22.6270 | − | 13.0637i | 1.35953 | − | 0.784923i | 0.369967 | − | 0.929045i | \(-0.379369\pi\) |
0.989560 | + | 0.144122i | \(0.0460356\pi\) | |||||||
\(278\) | −8.90901 | + | 14.7966i | −0.534327 | + | 0.887440i | ||||
\(279\) | 0.00793043 | − | 0.00457864i | 0.000474783 | − | 0.000274116i | ||||
\(280\) | 4.82910 | + | 9.54191i | 0.288594 | + | 0.570238i | ||||
\(281\) | − | 9.22327i | − | 0.550214i | −0.961414 | − | 0.275107i | \(-0.911287\pi\) | ||
0.961414 | − | 0.275107i | \(-0.0887133\pi\) | |||||||
\(282\) | 0.140466 | − | 7.64865i | 0.00836461 | − | 0.455471i | ||||
\(283\) | 25.5241 | + | 14.7364i | 1.51725 | + | 0.875987i | 0.999794 | + | 0.0202784i | \(0.00645525\pi\) |
0.517459 | + | 0.855708i | \(0.326878\pi\) | |||||||
\(284\) | 0.934420 | − | 25.4320i | 0.0554476 | − | 1.50911i | ||||
\(285\) | 2.28633i | 0.135430i | ||||||||
\(286\) | −11.8837 | − | 0.0439623i | −0.702700 | − | 0.00259954i | ||||
\(287\) | −47.7475 | −2.81844 | ||||||||
\(288\) | −0.0270055 | + | 0.293307i | −0.00159131 | + | 0.0172833i | ||||
\(289\) | −11.2964 | + | 19.5660i | −0.664496 | + | 1.15094i | ||||
\(290\) | 2.14371 | + | 0.0393686i | 0.125883 | + | 0.00231181i | ||||
\(291\) | 20.6572 | 1.21095 | ||||||||
\(292\) | −3.28221 | − | 2.05926i | −0.192077 | − | 0.120509i | ||||
\(293\) | −10.4257 | − | 18.0578i | −0.609074 | − | 1.05495i | −0.991393 | − | 0.130916i | \(-0.958208\pi\) |
0.382320 | − | 0.924030i | \(-0.375125\pi\) | |||||||
\(294\) | −9.13809 | + | 15.1771i | −0.532944 | + | 0.885144i | ||||
\(295\) | −5.61545 | − | 9.72625i | −0.326944 | − | 0.566284i | ||||
\(296\) | −9.66838 | − | 6.31629i | −0.561963 | − | 0.367127i | ||||
\(297\) | 10.5768 | + | 6.10650i | 0.613726 | + | 0.354335i | ||||
\(298\) | 12.1406 | + | 7.30987i | 0.703289 | + | 0.423449i | ||||
\(299\) | 18.8459 | + | 10.5153i | 1.08989 | + | 0.608115i | ||||
\(300\) | −3.03489 | + | 1.60660i | −0.175219 | + | 0.0927574i | ||||
\(301\) | −16.8458 | + | 29.1778i | −0.970977 | + | 1.68178i | ||||
\(302\) | 5.96549 | + | 10.7852i | 0.343275 | + | 0.620616i | ||||
\(303\) | −14.3978 | − | 24.9377i | −0.827130 | − | 1.43263i | ||||
\(304\) | −2.99457 | + | 4.40498i | −0.171750 | + | 0.252643i | ||||
\(305\) | 0.168400 | − | 0.0972260i | 0.00964258 | − | 0.00556715i | ||||
\(306\) | −0.00850778 | + | 0.463267i | −0.000486358 | + | 0.0264832i | ||||
\(307\) | 4.20382 | 0.239925 | 0.119962 | − | 0.992778i | \(-0.461723\pi\) | ||||
0.119962 | + | 0.992778i | \(0.461723\pi\) | |||||||
\(308\) | 14.9291 | + | 9.36652i | 0.850663 | + | 0.533707i | ||||
\(309\) | −17.9513 | − | 10.3642i | −1.02121 | − | 0.589598i | ||||
\(310\) | 0.120381 | + | 0.217640i | 0.00683719 | + | 0.0123611i | ||||
\(311\) | 29.6280 | 1.68005 | 0.840025 | − | 0.542548i | \(-0.182540\pi\) | ||||
0.840025 | + | 0.542548i | \(0.182540\pi\) | |||||||
\(312\) | 14.7975 | + | 9.36045i | 0.837745 | + | 0.529931i | ||||
\(313\) | −4.15520 | −0.234866 | −0.117433 | − | 0.993081i | \(-0.537467\pi\) | ||||
−0.117433 | + | 0.993081i | \(0.537467\pi\) | |||||||
\(314\) | −4.20631 | − | 7.60469i | −0.237376 | − | 0.429157i | ||||
\(315\) | 0.170498 | + | 0.0984370i | 0.00960647 | + | 0.00554630i | ||||
\(316\) | 7.11070 | − | 11.3336i | 0.400008 | − | 0.637563i | ||||
\(317\) | −5.79226 | −0.325326 | −0.162663 | − | 0.986682i | \(-0.552008\pi\) | ||||
−0.162663 | + | 0.986682i | \(0.552008\pi\) | |||||||
\(318\) | −0.0113679 | + | 0.619005i | −0.000637479 | + | 0.0347121i | ||||
\(319\) | 3.06001 | − | 1.76670i | 0.171328 | − | 0.0989162i | ||||
\(320\) | −7.95149 | − | 0.879627i | −0.444502 | − | 0.0491727i | ||||
\(321\) | −1.29306 | − | 2.23965i | −0.0721717 | − | 0.125005i | ||||
\(322\) | −15.4910 | − | 28.0066i | −0.863282 | − | 1.56075i | ||||
\(323\) | −4.18946 | + | 7.25636i | −0.233108 | + | 0.403755i | ||||
\(324\) | −8.27286 | − | 15.6275i | −0.459603 | − | 0.868194i | ||||
\(325\) | −0.0528676 | − | 3.60516i | −0.00293256 | − | 0.199978i | ||||
\(326\) | −0.932777 | − | 0.561624i | −0.0516617 | − | 0.0311055i | ||||
\(327\) | −14.1777 | − | 8.18551i | −0.784029 | − | 0.452660i | ||||
\(328\) | 19.5351 | − | 29.9025i | 1.07865 | − | 1.65109i | ||||
\(329\) | −5.95610 | − | 10.3163i | −0.328370 | − | 0.568754i | ||||
\(330\) | −2.91903 | + | 4.84809i | −0.160687 | + | 0.266879i | ||||
\(331\) | 3.64686 | + | 6.31655i | 0.200450 | + | 0.347189i | 0.948673 | − | 0.316257i | \(-0.102426\pi\) |
−0.748224 | + | 0.663447i | \(0.769093\pi\) | |||||||
\(332\) | −6.66597 | + | 10.6247i | −0.365843 | + | 0.583108i | ||||
\(333\) | −0.212603 | −0.0116506 | ||||||||
\(334\) | −22.1776 | − | 0.407286i | −1.21350 | − | 0.0222857i | ||||
\(335\) | 2.63154 | − | 4.55797i | 0.143777 | − | 0.249028i | ||||
\(336\) | −11.2983 | − | 23.3805i | −0.616374 | − | 1.27551i | ||||
\(337\) | 26.1617 | 1.42512 | 0.712560 | − | 0.701612i | \(-0.247536\pi\) | ||||
0.712560 | + | 0.701612i | \(0.247536\pi\) | |||||||
\(338\) | −15.8199 | + | 9.36640i | −0.860491 | + | 0.509465i | ||||
\(339\) | − | 21.4881i | − | 1.16708i | ||||||
\(340\) | −12.5761 | − | 0.462069i | −0.682034 | − | 0.0250592i | ||||
\(341\) | 0.354965 | + | 0.204939i | 0.0192224 | + | 0.0110981i | ||||
\(342\) | −0.00180048 | + | 0.0980398i | −9.73587e−5 | + | 0.00530138i | ||||
\(343\) | 1.11925i | 0.0604340i | ||||||||
\(344\) | −11.3808 | − | 22.4875i | −0.613612 | − | 1.21245i | ||||
\(345\) | 8.89998 | − | 5.13841i | 0.479159 | − | 0.276643i | ||||
\(346\) | −15.3290 | + | 25.4592i | −0.824091 | + | 1.36870i | ||||
\(347\) | 18.2571 | − | 10.5407i | 0.980092 | − | 0.565856i | 0.0777939 | − | 0.996969i | \(-0.475212\pi\) |
0.902298 | + | 0.431113i | \(0.141879\pi\) | |||||||
\(348\) | −5.20258 | − | 0.191153i | −0.278888 | − | 0.0102469i | ||||
\(349\) | −9.12646 | + | 15.8075i | −0.488528 | + | 0.846155i | −0.999913 | − | 0.0131965i | \(-0.995799\pi\) |
0.511385 | + | 0.859352i | \(0.329133\pi\) | |||||||
\(350\) | −2.75815 | + | 4.58090i | −0.147430 | + | 0.244859i | ||||
\(351\) | 18.8920 | − | 0.277040i | 1.00838 | − | 0.0147873i | ||||
\(352\) | −11.9739 | + | 5.51737i | −0.638211 | + | 0.294077i | ||||
\(353\) | −19.4403 | − | 11.2239i | −1.03470 | − | 0.597387i | −0.116376 | − | 0.993205i | \(-0.537128\pi\) |
−0.918329 | + | 0.395818i | \(0.870461\pi\) | |||||||
\(354\) | 13.1992 | + | 23.8631i | 0.701528 | + | 1.26831i | ||||
\(355\) | 11.0198 | − | 6.36229i | 0.584870 | − | 0.337675i | ||||
\(356\) | −19.7962 | + | 10.4797i | −1.04920 | + | 0.555421i | ||||
\(357\) | −20.4242 | − | 35.3757i | −1.08096 | − | 1.87228i | ||||
\(358\) | −14.7912 | − | 0.271636i | −0.781738 | − | 0.0143564i | ||||
\(359\) | 19.0335i | 1.00455i | 0.864708 | + | 0.502274i | \(0.167503\pi\) | ||||
−0.864708 | + | 0.502274i | \(0.832497\pi\) | |||||||
\(360\) | −0.131404 | + | 0.0665027i | −0.00692560 | + | 0.00350500i | ||||
\(361\) | 8.61340 | − | 14.9188i | 0.453337 | − | 0.785202i | ||||
\(362\) | 5.27268 | + | 9.53260i | 0.277126 | + | 0.501022i | ||||
\(363\) | − | 9.56046i | − | 0.501794i | ||||||
\(364\) | 27.2586 | + | 0.601478i | 1.42874 | + | 0.0315260i | ||||
\(365\) | − | 1.93736i | − | 0.101406i | ||||||
\(366\) | −0.413165 | + | 0.228530i | −0.0215965 | + | 0.0119455i | ||||
\(367\) | −7.04526 | + | 12.2027i | −0.367759 | + | 0.636978i | −0.989215 | − | 0.146471i | \(-0.953208\pi\) |
0.621455 | + | 0.783449i | \(0.286542\pi\) | |||||||
\(368\) | 23.8774 | + | 1.75698i | 1.24470 | + | 0.0915887i | ||||
\(369\) | − | 0.657542i | − | 0.0342303i | ||||||
\(370\) | 0.106027 | − | 5.77339i | 0.00551207 | − | 0.300144i | ||||
\(371\) | 0.482027 | + | 0.834895i | 0.0250256 | + | 0.0433456i | ||||
\(372\) | −0.282549 | − | 0.533738i | −0.0146495 | − | 0.0276730i | ||||
\(373\) | −16.4594 | + | 9.50281i | −0.852233 | + | 0.492037i | −0.861404 | − | 0.507921i | \(-0.830414\pi\) |
0.00917073 | + | 0.999958i | \(0.497081\pi\) | |||||||
\(374\) | −18.1481 | + | 10.0381i | −0.938415 | + | 0.519057i | ||||
\(375\) | −1.48693 | − | 0.858477i | −0.0767845 | − | 0.0443316i | ||||
\(376\) | 8.89754 | + | 0.490645i | 0.458856 | + | 0.0253031i | ||||
\(377\) | 2.66345 | − | 4.77354i | 0.137175 | − | 0.245850i | ||||
\(378\) | −24.0051 | − | 14.4535i | −1.23469 | − | 0.743405i | ||||
\(379\) | 1.13250 | − | 1.96155i | 0.0581727 | − | 0.100758i | −0.835472 | − | 0.549532i | \(-0.814806\pi\) |
0.893645 | + | 0.448774i | \(0.148139\pi\) | |||||||
\(380\) | −2.66144 | − | 0.0977864i | −0.136529 | − | 0.00501634i | ||||
\(381\) | 21.0054 | − | 12.1275i | 1.07614 | − | 0.621308i | ||||
\(382\) | −22.7284 | − | 13.6847i | −1.16289 | − | 0.700173i | ||||
\(383\) | −17.5544 | + | 10.1350i | −0.896986 | + | 0.517875i | −0.876221 | − | 0.481909i | \(-0.839943\pi\) |
−0.0207648 | + | 0.999784i | \(0.506610\pi\) | |||||||
\(384\) | 19.2649 | + | 2.49001i | 0.983106 | + | 0.127068i | ||||
\(385\) | 8.81205i | 0.449103i | ||||||||
\(386\) | −5.67961 | − | 0.104305i | −0.289085 | − | 0.00530897i | ||||
\(387\) | −0.401815 | − | 0.231988i | −0.0204254 | − | 0.0117926i | ||||
\(388\) | −0.883510 | + | 24.0464i | −0.0448534 | + | 1.22077i | ||||
\(389\) | 16.5412i | 0.838671i | 0.907831 | + | 0.419335i | \(0.137737\pi\) | ||||
−0.907831 | + | 0.419335i | \(0.862263\pi\) | |||||||
\(390\) | −0.0323869 | + | 8.75472i | −0.00163997 | + | 0.443313i | ||||
\(391\) | 37.6624 | 1.90467 | ||||||||
\(392\) | −17.2763 | − | 11.2865i | −0.872585 | − | 0.570054i | ||||
\(393\) | −17.6296 | + | 30.5354i | −0.889297 | + | 1.54031i | ||||
\(394\) | 0.0722751 | − | 3.93553i | 0.00364117 | − | 0.198269i | ||||
\(395\) | 6.68977 | 0.336599 | ||||||||
\(396\) | −0.128989 | + | 0.205592i | −0.00648192 | + | 0.0103314i | ||||
\(397\) | −15.5305 | − | 26.8997i | −0.779456 | − | 1.35006i | −0.932256 | − | 0.361800i | \(-0.882162\pi\) |
0.152800 | − | 0.988257i | \(-0.451171\pi\) | |||||||
\(398\) | −14.7832 | − | 8.90096i | −0.741015 | − | 0.446165i | ||||
\(399\) | −4.32231 | − | 7.48646i | −0.216386 | − | 0.374792i | ||||
\(400\) | −1.74040 | − | 3.60153i | −0.0870198 | − | 0.180077i | ||||
\(401\) | 29.0761 | + | 16.7871i | 1.45199 | + | 0.838308i | 0.998595 | − | 0.0529999i | \(-0.0168783\pi\) |
0.453398 | + | 0.891308i | \(0.350212\pi\) | |||||||
\(402\) | −6.59190 | + | 10.9482i | −0.328774 | + | 0.546046i | ||||
\(403\) | 0.634031 | − | 0.00929768i | 0.0315833 | − | 0.000463151i | ||||
\(404\) | 29.6449 | − | 15.6934i | 1.47489 | − | 0.780775i | ||||
\(405\) | 4.42054 | − | 7.65660i | 0.219658 | − | 0.380460i | ||||
\(406\) | −7.09388 | + | 3.92377i | −0.352063 | + | 0.194734i | ||||
\(407\) | −4.75804 | − | 8.24117i | −0.235847 | − | 0.408500i | ||||
\(408\) | 30.5107 | + | 1.68248i | 1.51051 | + | 0.0832952i | ||||
\(409\) | −31.3876 | + | 18.1216i | −1.55202 | + | 0.896057i | −0.554039 | + | 0.832491i | \(0.686914\pi\) |
−0.997978 | + | 0.0635665i | \(0.979753\pi\) | |||||||
\(410\) | 17.8560 | + | 0.327921i | 0.881846 | + | 0.0161949i | ||||
\(411\) | −25.6677 | −1.26609 | ||||||||
\(412\) | 12.8324 | − | 20.4533i | 0.632207 | − | 1.00766i | ||||
\(413\) | 36.7750 | + | 21.2321i | 1.80958 | + | 1.04476i | ||||
\(414\) | 0.385686 | − | 0.213331i | 0.0189554 | − | 0.0104846i | ||||
\(415\) | −6.27137 | −0.307849 | ||||||||
\(416\) | −11.5291 | + | 16.8250i | −0.565260 | + | 0.824913i | ||||
\(417\) | 20.9690 | 1.02686 | ||||||||
\(418\) | −3.84062 | + | 2.12433i | −0.187851 | + | 0.103904i | ||||
\(419\) | −26.7921 | − | 15.4684i | −1.30888 | − | 0.755683i | −0.326971 | − | 0.945034i | \(-0.606028\pi\) |
−0.981909 | + | 0.189352i | \(0.939361\pi\) | |||||||
\(420\) | 6.90029 | − | 10.9982i | 0.336700 | − | 0.536658i | ||||
\(421\) | −9.60814 | −0.468272 | −0.234136 | − | 0.972204i | \(-0.575226\pi\) | ||||
−0.234136 | + | 0.972204i | \(0.575226\pi\) | |||||||
\(422\) | 12.1273 | + | 0.222716i | 0.590349 | + | 0.0108416i | ||||
\(423\) | 0.142068 | − | 0.0820230i | 0.00690758 | − | 0.00398809i | ||||
\(424\) | −0.720078 | − | 0.0397079i | −0.0349701 | − | 0.00192838i | ||||
\(425\) | −3.14614 | − | 5.44928i | −0.152610 | − | 0.264329i | ||||
\(426\) | −27.0368 | + | 14.9546i | −1.30994 | + | 0.724553i | ||||
\(427\) | −0.367612 | + | 0.636723i | −0.0177900 | + | 0.0308132i | ||||
\(428\) | 2.66241 | − | 1.40942i | 0.128692 | − | 0.0681270i | ||||
\(429\) | 7.39632 | + | 12.3877i | 0.357098 | + | 0.598084i | ||||
\(430\) | 6.50018 | − | 10.7959i | 0.313467 | − | 0.520623i | ||||
\(431\) | −15.4020 | − | 8.89236i | −0.741889 | − | 0.428330i | 0.0808667 | − | 0.996725i | \(-0.474231\pi\) |
−0.822756 | + | 0.568395i | \(0.807565\pi\) | |||||||
\(432\) | 18.8730 | − | 9.12013i | 0.908026 | − | 0.438792i | ||||
\(433\) | 17.2742 | + | 29.9198i | 0.830144 | + | 1.43785i | 0.897924 | + | 0.440151i | \(0.145075\pi\) |
−0.0677796 | + | 0.997700i | \(0.521591\pi\) | |||||||
\(434\) | −0.805631 | − | 0.485069i | −0.0386715 | − | 0.0232841i | ||||
\(435\) | −1.30152 | − | 2.25431i | −0.0624033 | − | 0.108086i | ||||
\(436\) | 10.1349 | − | 16.1537i | 0.485372 | − | 0.773623i | ||||
\(437\) | 7.97039 | 0.381275 | ||||||||
\(438\) | −0.0863767 | + | 4.70339i | −0.00412724 | + | 0.224737i | ||||
\(439\) | −5.20557 | + | 9.01631i | −0.248448 | + | 0.430325i | −0.963095 | − | 0.269160i | \(-0.913254\pi\) |
0.714647 | + | 0.699485i | \(0.246587\pi\) | |||||||
\(440\) | −5.51866 | − | 3.60531i | −0.263092 | − | 0.171876i | ||||
\(441\) | −0.379898 | −0.0180904 | ||||||||
\(442\) | −16.1449 | + | 27.7264i | −0.767936 | + | 1.31881i | ||||
\(443\) | − | 23.7421i | − | 1.12802i | −0.825768 | − | 0.564010i | \(-0.809258\pi\) | ||
0.825768 | − | 0.564010i | \(-0.190742\pi\) | |||||||
\(444\) | −0.514809 | + | 14.0115i | −0.0244318 | + | 0.664956i | ||||
\(445\) | −9.69902 | − | 5.59973i | −0.459778 | − | 0.265453i | ||||
\(446\) | 14.9920 | + | 0.275325i | 0.709893 | + | 0.0130370i | ||||
\(447\) | − | 17.2051i | − | 0.813774i | ||||||
\(448\) | 27.6997 | − | 12.1520i | 1.30869 | − | 0.574130i | ||||
\(449\) | 21.2866 | − | 12.2898i | 1.00458 | − | 0.579993i | 0.0949779 | − | 0.995479i | \(-0.469722\pi\) |
0.909599 | + | 0.415486i | \(0.136389\pi\) | |||||||
\(450\) | −0.0630847 | − | 0.0379832i | −0.00297384 | − | 0.00179055i | ||||
\(451\) | 25.4884 | − | 14.7157i | 1.20020 | − | 0.692937i | ||||
\(452\) | 25.0137 | + | 0.919049i | 1.17654 | + | 0.0432284i | ||||
\(453\) | 7.48173 | − | 12.9587i | 0.351522 | − | 0.608854i | ||||
\(454\) | −11.2820 | − | 6.79288i | −0.529490 | − | 0.318805i | ||||
\(455\) | 6.98869 | + | 11.7050i | 0.327635 | + | 0.548738i | ||||
\(456\) | 6.45690 | + | 0.356058i | 0.302372 | + | 0.0166740i | ||||
\(457\) | 3.96989 | + | 2.29202i | 0.185704 | + | 0.107216i | 0.589970 | − | 0.807425i | \(-0.299140\pi\) |
−0.404266 | + | 0.914641i | \(0.632473\pi\) | |||||||
\(458\) | 26.9282 | − | 14.8946i | 1.25827 | − | 0.695977i | ||||
\(459\) | 28.5557 | − | 16.4866i | 1.33286 | − | 0.769529i | ||||
\(460\) | 5.60080 | + | 10.5800i | 0.261139 | + | 0.493293i | ||||
\(461\) | −19.4500 | − | 33.6884i | −0.905878 | − | 1.56903i | −0.819735 | − | 0.572744i | \(-0.805879\pi\) |
−0.0861432 | − | 0.996283i | \(-0.527454\pi\) | |||||||
\(462\) | 0.392882 | − | 21.3933i | 0.0182785 | − | 0.995305i | ||||
\(463\) | 10.4185i | 0.484187i | 0.970253 | + | 0.242093i | \(0.0778340\pi\) | ||||
−0.970253 | + | 0.242093i | \(0.922166\pi\) | |||||||
\(464\) | 0.445030 | − | 6.04799i | 0.0206600 | − | 0.280771i | ||||
\(465\) | 0.150978 | − | 0.261502i | 0.00700144 | − | 0.0121269i | ||||
\(466\) | −3.86134 | + | 2.13579i | −0.178873 | + | 0.0989385i | ||||
\(467\) | 30.7525i | 1.42305i | 0.702658 | + | 0.711527i | \(0.251996\pi\) | ||||
−0.702658 | + | 0.711527i | \(0.748004\pi\) | |||||||
\(468\) | −0.00828310 | + | 0.375385i | −0.000382887 | + | 0.0173522i | ||||
\(469\) | 19.8998i | 0.918886i | ||||||||
\(470\) | 2.15654 | + | 3.89886i | 0.0994737 | + | 0.179841i | ||||
\(471\) | −5.27542 | + | 9.13729i | −0.243079 | + | 0.421024i | ||||
\(472\) | −28.3428 | + | 14.3441i | −1.30458 | + | 0.660241i | ||||
\(473\) | − | 20.7675i | − | 0.954889i | ||||||
\(474\) | −16.2409 | − | 0.298261i | −0.745971 | − | 0.0136996i | ||||
\(475\) | −0.665809 | − | 1.15321i | −0.0305494 | − | 0.0529131i | ||||
\(476\) | 42.0533 | − | 22.2621i | 1.92751 | − | 1.02038i | ||||
\(477\) | −0.0114975 | + | 0.00663811i | −0.000526436 | + | 0.000303938i | ||||
\(478\) | 2.98988 | + | 5.40547i | 0.136754 | + | 0.247241i | ||||
\(479\) | −4.80650 | − | 2.77503i | −0.219615 | − | 0.126795i | 0.386157 | − | 0.922433i | \(-0.373802\pi\) |
−0.605772 | + | 0.795638i | \(0.707136\pi\) | |||||||
\(480\) | 4.06464 | + | 8.82114i | 0.185524 | + | 0.402628i | ||||
\(481\) | −12.8560 | − | 7.17316i | −0.586183 | − | 0.327068i | ||||
\(482\) | −9.48477 | + | 15.7528i | −0.432019 | + | 0.717522i | ||||
\(483\) | −19.4284 | + | 33.6509i | −0.884021 | + | 1.53117i | ||||
\(484\) | 11.1290 | + | 0.408902i | 0.505865 | + | 0.0185864i | ||||
\(485\) | −10.4194 | + | 6.01565i | −0.473121 | + | 0.273157i | ||||
\(486\) | 0.394688 | − | 0.655521i | 0.0179034 | − | 0.0297350i | ||||
\(487\) | 6.26700 | − | 3.61825i | 0.283985 | − | 0.163959i | −0.351241 | − | 0.936285i | \(-0.614240\pi\) |
0.635226 | + | 0.772326i | \(0.280907\pi\) | |||||||
\(488\) | −0.248354 | − | 0.490727i | −0.0112425 | − | 0.0222142i | ||||
\(489\) | 1.32188i | 0.0597777i | ||||||||
\(490\) | 0.189458 | − | 10.3164i | 0.00855884 | − | 0.466047i | ||||
\(491\) | −7.49146 | − | 4.32520i | −0.338085 | − | 0.195193i | 0.321340 | − | 0.946964i | \(-0.395867\pi\) |
−0.659425 | + | 0.751770i | \(0.729200\pi\) | |||||||
\(492\) | −43.3350 | − | 1.59221i | −1.95369 | − | 0.0717823i | ||||
\(493\) | − | 9.53964i | − | 0.429644i | ||||||
\(494\) | −3.41670 | + | 5.86767i | −0.153725 | + | 0.263999i | ||||
\(495\) | −0.121353 | −0.00545441 | ||||||||
\(496\) | 0.633392 | − | 0.306079i | 0.0284401 | − | 0.0137433i | ||||
\(497\) | −24.0559 | + | 41.6660i | −1.07905 | + | 1.86897i | ||||
\(498\) | 15.2252 | + | 0.279607i | 0.682257 | + | 0.0125295i | ||||
\(499\) | 15.6626 | 0.701155 | 0.350577 | − | 0.936534i | \(-0.385985\pi\) | ||||
0.350577 | + | 0.936534i | \(0.385985\pi\) | |||||||
\(500\) | 1.06292 | − | 1.69417i | 0.0475353 | − | 0.0757654i | ||||
\(501\) | 13.4648 | + | 23.3218i | 0.601565 | + | 1.04194i | ||||
\(502\) | −11.2442 | + | 18.6751i | −0.501855 | + | 0.833508i | ||||
\(503\) | 15.2515 | + | 26.4164i | 0.680032 | + | 1.17785i | 0.974971 | + | 0.222333i | \(0.0713673\pi\) |
−0.294939 | + | 0.955516i | \(0.595299\pi\) | |||||||
\(504\) | 0.304552 | − | 0.466179i | 0.0135658 | − | 0.0207653i | ||||
\(505\) | 14.5244 | + | 8.38564i | 0.646326 | + | 0.373156i | ||||
\(506\) | 16.9010 | + | 10.1761i | 0.751341 | + | 0.452381i | ||||
\(507\) | 19.6490 | + | 10.5886i | 0.872641 | + | 0.470256i | ||||
\(508\) | 13.2188 | + | 24.9704i | 0.586489 | + | 1.10788i | ||||
\(509\) | −2.95595 | + | 5.11986i | −0.131020 | + | 0.226934i | −0.924070 | − | 0.382223i | \(-0.875159\pi\) |
0.793050 | + | 0.609157i | \(0.208492\pi\) | |||||||
\(510\) | 7.39503 | + | 13.3697i | 0.327458 | + | 0.592018i | ||||
\(511\) | 3.66259 | + | 6.34380i | 0.162024 | + | 0.280633i | ||||
\(512\) | −3.72250 | + | 22.3191i | −0.164513 | + | 0.986375i | ||||
\(513\) | 6.04315 | − | 3.48901i | 0.266812 | − | 0.154044i | ||||
\(514\) | 0.413276 | − | 22.5038i | 0.0182288 | − | 0.992599i | ||||
\(515\) | 12.0728 | 0.531989 | ||||||||
\(516\) | −16.2620 | + | 25.9196i | −0.715895 | + | 1.14105i | ||||
\(517\) | 6.35893 | + | 3.67133i | 0.279666 | + | 0.161465i | ||||
\(518\) | 10.5674 | + | 19.1051i | 0.464306 | + | 0.839430i | ||||
\(519\) | 36.0795 | 1.58372 | ||||||||
\(520\) | −10.1897 | − | 0.412141i | −0.446848 | − | 0.0180736i | ||||
\(521\) | 4.99681 | 0.218914 | 0.109457 | − | 0.993992i | \(-0.465089\pi\) | ||||
0.109457 | + | 0.993992i | \(0.465089\pi\) | |||||||
\(522\) | −0.0540353 | − | 0.0976916i | −0.00236506 | − | 0.00427585i | ||||
\(523\) | 25.9469 | + | 14.9804i | 1.13458 | + | 0.655049i | 0.945082 | − | 0.326833i | \(-0.105981\pi\) |
0.189495 | + | 0.981882i | \(0.439315\pi\) | |||||||
\(524\) | −34.7913 | − | 21.8281i | −1.51986 | − | 0.953565i | ||||
\(525\) | 6.49182 | 0.283326 | ||||||||
\(526\) | 0.432586 | − | 23.5552i | 0.0188617 | − | 1.02706i | ||||
\(527\) | 0.958351 | − | 0.553304i | 0.0417464 | − | 0.0241023i | ||||
\(528\) | 13.2371 | + | 8.99876i | 0.576070 | + | 0.391621i | ||||
\(529\) | −6.41306 | − | 11.1077i | −0.278829 | − | 0.482946i | ||||
\(530\) | −0.174529 | − | 0.315534i | −0.00758104 | − | 0.0137059i | ||||
\(531\) | −0.292392 | + | 0.506438i | −0.0126887 | + | 0.0219775i | ||||
\(532\) | 8.89961 | − | 4.71127i | 0.385847 | − | 0.204259i | ||||
\(533\) | 22.1853 | − | 39.7612i | 0.960950 | − | 1.72225i | ||||
\(534\) | 23.2969 | + | 14.0271i | 1.00816 | + | 0.607011i | ||||
\(535\) | 1.30443 | + | 0.753114i | 0.0563955 | + | 0.0325600i | ||||
\(536\) | −12.4625 | − | 8.14167i | −0.538298 | − | 0.351667i | ||||
\(537\) | 8.98027 | + | 15.5543i | 0.387527 | + | 0.671217i | ||||
\(538\) | −14.6575 | + | 24.3439i | −0.631928 | + | 1.04954i | ||||
\(539\) | −8.50208 | − | 14.7260i | −0.366211 | − | 0.634295i | ||||
\(540\) | 8.87787 | + | 5.56999i | 0.382043 | + | 0.239694i | ||||
\(541\) | −29.5361 | −1.26986 | −0.634929 | − | 0.772571i | \(-0.718971\pi\) | ||||
−0.634929 | + | 0.772571i | \(0.718971\pi\) | |||||||
\(542\) | 2.11661 | + | 0.0388710i | 0.0909161 | + | 0.00166965i | ||||
\(543\) | 6.61282 | − | 11.4537i | 0.283783 | − | 0.491527i | ||||
\(544\) | −3.26347 | + | 35.4446i | −0.139920 | + | 1.51968i | ||||
\(545\) | 9.53492 | 0.408431 | ||||||||
\(546\) | −16.4448 | − | 28.7281i | −0.703772 | − | 1.22945i | ||||
\(547\) | − | 7.61764i | − | 0.325707i | −0.986650 | − | 0.162853i | \(-0.947930\pi\) | ||
0.986650 | − | 0.162853i | \(-0.0520697\pi\) | |||||||
\(548\) | 1.09781 | − | 29.8789i | 0.0468960 | − | 1.27636i | ||||
\(549\) | −0.00876847 | − | 0.00506248i | −0.000374229 | − | 0.000216061i | ||||
\(550\) | 0.0605196 | − | 3.29542i | 0.00258057 | − | 0.140517i | ||||
\(551\) | − | 2.01885i | − | 0.0860057i | ||||||
\(552\) | −13.1255 | − | 25.9350i | −0.558660 | − | 1.10387i | ||||
\(553\) | −21.9053 | + | 12.6470i | −0.931508 | + | 0.537806i | ||||
\(554\) | 19.0594 | − | 31.6548i | 0.809754 | − | 1.34489i | ||||
\(555\) | −6.07125 | + | 3.50524i | −0.257710 | + | 0.148789i | ||||
\(556\) | −0.896845 | + | 24.4093i | −0.0380347 | + | 1.03519i | ||||
\(557\) | 9.41978 | − | 16.3155i | 0.399129 | − | 0.691311i | −0.594490 | − | 0.804103i | \(-0.702646\pi\) |
0.993619 | + | 0.112792i | \(0.0359793\pi\) | |||||||
\(558\) | 0.00668001 | − | 0.0110945i | 0.000282788 | − | 0.000469669i | ||||
\(559\) | −16.4703 | − | 27.5853i | −0.696621 | − | 1.16673i | ||||
\(560\) | 12.5075 | + | 8.50280i | 0.528540 | + | 0.359309i | ||||
\(561\) | 21.8055 | + | 12.5894i | 0.920631 | + | 0.531526i | ||||
\(562\) | −6.31332 | − | 11.4140i | −0.266311 | − | 0.481471i | ||||
\(563\) | 40.3186 | − | 23.2779i | 1.69923 | − | 0.981049i | 0.752732 | − | 0.658327i | \(-0.228736\pi\) |
0.946494 | − | 0.322721i | \(-0.104598\pi\) | |||||||
\(564\) | −5.06167 | − | 9.56152i | −0.213135 | − | 0.402613i | ||||
\(565\) | 6.25763 | + | 10.8385i | 0.263261 | + | 0.455981i | ||||
\(566\) | 41.6737 | + | 0.765328i | 1.75168 | + | 0.0321691i | ||||
\(567\) | 33.4282i | 1.40385i | ||||||||
\(568\) | −16.2518 | − | 32.1122i | −0.681911 | − | 1.34740i | ||||
\(569\) | −7.34580 | + | 12.7233i | −0.307952 | + | 0.533389i | −0.977914 | − | 0.209007i | \(-0.932977\pi\) |
0.669962 | + | 0.742395i | \(0.266310\pi\) | |||||||
\(570\) | 1.56499 | + | 2.82938i | 0.0655502 | + | 0.118510i | ||||
\(571\) | − | 9.08765i | − | 0.380306i | −0.981754 | − | 0.190153i | \(-0.939102\pi\) | ||
0.981754 | − | 0.190153i | \(-0.0608985\pi\) | |||||||
\(572\) | −14.7365 | + | 8.08000i | −0.616163 | + | 0.337842i | ||||
\(573\) | 32.2095i | 1.34557i | ||||||||
\(574\) | −59.0885 | + | 32.6831i | −2.46631 | + | 1.36417i | ||||
\(575\) | −2.99275 | + | 5.18359i | −0.124806 | + | 0.216171i | ||||
\(576\) | 0.167349 | + | 0.381459i | 0.00697286 | + | 0.0158941i | ||||
\(577\) | 38.8384i | 1.61687i | 0.588589 | + | 0.808433i | \(0.299684\pi\) | ||||
−0.588589 | + | 0.808433i | \(0.700316\pi\) | |||||||
\(578\) | −0.586676 | + | 31.9458i | −0.0244025 | + | 1.32877i | ||||
\(579\) | 3.44831 | + | 5.97264i | 0.143307 | + | 0.248214i | ||||
\(580\) | 2.67983 | − | 1.41865i | 0.111274 | − | 0.0589060i | ||||
\(581\) | 20.5353 | − | 11.8560i | 0.851947 | − | 0.491872i | ||||
\(582\) | 25.5637 | − | 14.1398i | 1.05965 | − | 0.586115i | ||||
\(583\) | −0.514628 | − | 0.297121i | −0.0213137 | − | 0.0123055i | ||||
\(584\) | −5.47138 | − | 0.301713i | −0.226407 | − | 0.0124850i | ||||
\(585\) | −0.161192 | + | 0.0962430i | −0.00666448 | + | 0.00397916i | ||||
\(586\) | −25.2625 | − | 15.2105i | −1.04359 | − | 0.628342i | ||||
\(587\) | 12.8892 | − | 22.3248i | 0.531995 | − | 0.921442i | −0.467308 | − | 0.884095i | \(-0.654776\pi\) |
0.999302 | − | 0.0373469i | \(-0.0118906\pi\) | |||||||
\(588\) | −0.919906 | + | 25.0370i | −0.0379363 | + | 1.03251i | ||||
\(589\) | 0.202813 | − | 0.117094i | 0.00835676 | − | 0.00482478i | ||||
\(590\) | −13.6069 | − | 8.19268i | −0.560185 | − | 0.337287i | ||||
\(591\) | −4.13858 | + | 2.38941i | −0.170238 | + | 0.0982871i | ||||
\(592\) | −16.2883 | − | 1.19855i | −0.669446 | − | 0.0492599i | ||||
\(593\) | 12.4011i | 0.509251i | 0.967040 | + | 0.254625i | \(0.0819522\pi\) | ||||
−0.967040 | + | 0.254625i | \(0.918048\pi\) | |||||||
\(594\) | 17.2689 | + | 0.317139i | 0.708550 | + | 0.0130124i | ||||
\(595\) | 20.6038 | + | 11.8956i | 0.844672 | + | 0.487672i | ||||
\(596\) | 20.0279 | + | 0.735864i | 0.820376 | + | 0.0301422i | ||||
\(597\) | 20.9500i | 0.857427i | ||||||||
\(598\) | 30.5199 | + | 0.112904i | 1.24805 | + | 0.00461700i | ||||
\(599\) | 27.7083 | 1.13213 | 0.566065 | − | 0.824361i | \(-0.308465\pi\) | ||||
0.566065 | + | 0.824361i | \(0.308465\pi\) | |||||||
\(600\) | −2.65602 | + | 4.06559i | −0.108432 | + | 0.165977i | ||||
\(601\) | −4.42901 | + | 7.67127i | −0.180663 | + | 0.312918i | −0.942107 | − | 0.335314i | \(-0.891158\pi\) |
0.761443 | + | 0.648231i | \(0.224491\pi\) | |||||||
\(602\) | −0.874881 | + | 47.6391i | −0.0356575 | + | 1.94163i | ||||
\(603\) | −0.274045 | −0.0111600 | ||||||||
\(604\) | 14.7649 | + | 9.26349i | 0.600773 | + | 0.376926i | ||||
\(605\) | 2.78413 | + | 4.82226i | 0.113191 | + | 0.196053i | ||||
\(606\) | −34.8874 | − | 21.0056i | −1.41720 | − | 0.853296i | ||||
\(607\) | 8.70593 | + | 15.0791i | 0.353363 | + | 0.612042i | 0.986836 | − | 0.161722i | \(-0.0517048\pi\) |
−0.633474 | + | 0.773764i | \(0.718371\pi\) | |||||||
\(608\) | −0.690638 | + | 7.50104i | −0.0280091 | + | 0.304207i | ||||
\(609\) | 8.52355 | + | 4.92107i | 0.345391 | + | 0.199412i | ||||
\(610\) | 0.141848 | − | 0.235589i | 0.00574326 | − | 0.00953873i | ||||
\(611\) | 11.3582 | − | 0.166561i | 0.459503 | − | 0.00673834i | ||||
\(612\) | 0.306577 | + | 0.579126i | 0.0123926 | + | 0.0234098i | ||||
\(613\) | −15.1928 | + | 26.3148i | −0.613633 | + | 1.06284i | 0.376989 | + | 0.926218i | \(0.376959\pi\) |
−0.990623 | + | 0.136626i | \(0.956374\pi\) | |||||||
\(614\) | 5.20232 | − | 2.87751i | 0.209948 | − | 0.116127i | ||||
\(615\) | −10.8411 | − | 18.7773i | −0.437153 | − | 0.757172i | ||||
\(616\) | 24.8864 | + | 1.37233i | 1.00270 | + | 0.0552929i | ||||
\(617\) | 2.28942 | − | 1.32180i | 0.0921685 | − | 0.0532135i | −0.453207 | − | 0.891405i | \(-0.649720\pi\) |
0.545376 | + | 0.838192i | \(0.316387\pi\) | |||||||
\(618\) | −29.3094 | − | 0.538260i | −1.17900 | − | 0.0216520i | ||||
\(619\) | 0.212316 | 0.00853370 | 0.00426685 | − | 0.999991i | \(-0.498642\pi\) | ||||
0.00426685 | + | 0.999991i | \(0.498642\pi\) | |||||||
\(620\) | 0.297949 | + | 0.186933i | 0.0119659 | + | 0.00750742i | ||||
\(621\) | −27.1634 | − | 15.6828i | −1.09003 | − | 0.629328i | ||||
\(622\) | 36.6653 | − | 20.2803i | 1.47014 | − | 0.813168i | ||||
\(623\) | 42.3453 | 1.69653 | ||||||||
\(624\) | 24.7195 | + | 1.45487i | 0.989571 | + | 0.0582415i | ||||
\(625\) | 1.00000 | 0.0400000 | ||||||||
\(626\) | −5.14216 | + | 2.84423i | −0.205522 | + | 0.113678i | ||||
\(627\) | 4.61464 | + | 2.66427i | 0.184291 | + | 0.106401i | ||||
\(628\) | −10.4108 | − | 6.53175i | −0.415436 | − | 0.260645i | ||||
\(629\) | −25.6920 | −1.02441 | ||||||||
\(630\) | 0.278375 | + | 0.00511229i | 0.0110907 | + | 0.000203679i | ||||
\(631\) | −39.2581 | + | 22.6657i | −1.56284 | + | 0.902307i | −0.565874 | + | 0.824491i | \(0.691461\pi\) |
−0.996968 | + | 0.0778160i | \(0.975205\pi\) | |||||||
\(632\) | 1.04182 | − | 18.8928i | 0.0414415 | − | 0.751516i | ||||
\(633\) | −7.36295 | − | 12.7530i | −0.292651 | − | 0.506887i | ||||
\(634\) | −7.16805 | + | 3.96480i | −0.284680 | + | 0.157462i | ||||
\(635\) | −7.06335 | + | 12.2341i | −0.280301 | + | 0.485495i | ||||
\(636\) | 0.409640 | + | 0.773813i | 0.0162433 | + | 0.0306837i | ||||
\(637\) | −22.9722 | − | 12.8176i | −0.910193 | − | 0.507853i | ||||
\(638\) | 2.57753 | − | 4.28091i | 0.102045 | − | 0.169483i | ||||
\(639\) | −0.573792 | − | 0.331279i | −0.0226989 | − | 0.0131052i | ||||
\(640\) | −10.4423 | + | 4.35423i | −0.412766 | + | 0.172116i | ||||
\(641\) | −7.52790 | − | 13.0387i | −0.297334 | − | 0.514998i | 0.678191 | − | 0.734886i | \(-0.262764\pi\) |
−0.975525 | + | 0.219888i | \(0.929431\pi\) | |||||||
\(642\) | −3.13323 | − | 1.88652i | −0.123659 | − | 0.0744548i | ||||
\(643\) | −5.72240 | − | 9.91149i | −0.225670 | − | 0.390871i | 0.730851 | − | 0.682538i | \(-0.239124\pi\) |
−0.956520 | + | 0.291666i | \(0.905790\pi\) | |||||||
\(644\) | −38.3410 | − | 24.0552i | −1.51085 | − | 0.947907i | ||||
\(645\) | −15.2994 | −0.602411 | ||||||||
\(646\) | −0.217578 | + | 11.8476i | −0.00856050 | + | 0.466137i | ||||
\(647\) | 12.0980 | − | 20.9543i | 0.475621 | − | 0.823800i | −0.523989 | − | 0.851725i | \(-0.675557\pi\) |
0.999610 | + | 0.0279251i | \(0.00888999\pi\) | |||||||
\(648\) | −20.9349 | − | 13.6766i | −0.822399 | − | 0.537268i | ||||
\(649\) | −26.1748 | −1.02745 | ||||||||
\(650\) | −2.53316 | − | 4.42528i | −0.0993586 | − | 0.173574i | ||||
\(651\) | 1.14170i | 0.0447467i | ||||||||
\(652\) | −1.53876 | − | 0.0565371i | −0.0602626 | − | 0.00221416i | ||||
\(653\) | 24.3794 | + | 14.0754i | 0.954038 | + | 0.550814i | 0.894333 | − | 0.447402i | \(-0.147651\pi\) |
0.0597051 | + | 0.998216i | \(0.480984\pi\) | |||||||
\(654\) | −23.1482 | − | 0.425111i | −0.905167 | − | 0.0166232i | ||||
\(655\) | − | 20.5359i | − | 0.802406i | ||||||
\(656\) | 3.70688 | − | 50.3768i | 0.144729 | − | 1.96688i | ||||
\(657\) | −0.0873620 | + | 0.0504385i | −0.00340832 | + | 0.00196779i | ||||
\(658\) | −14.4323 | − | 8.68966i | −0.562629 | − | 0.338758i | ||||
\(659\) | 25.2767 | − | 14.5935i | 0.984641 | − | 0.568483i | 0.0809728 | − | 0.996716i | \(-0.474197\pi\) |
0.903668 | + | 0.428234i | \(0.140864\pi\) | |||||||
\(660\) | −0.293851 | + | 7.99770i | −0.0114381 | + | 0.311310i | ||||
\(661\) | 12.5865 | − | 21.8004i | 0.489557 | − | 0.847938i | −0.510371 | − | 0.859955i | \(-0.670492\pi\) |
0.999928 | + | 0.0120167i | \(0.00382512\pi\) | |||||||
\(662\) | 8.83675 | + | 5.32060i | 0.343450 | + | 0.206791i | ||||
\(663\) | 38.9486 | − | 0.571158i | 1.51264 | − | 0.0221819i | ||||
\(664\) | −0.976664 | + | 17.7112i | −0.0379019 | + | 0.687328i | ||||
\(665\) | 4.36031 | + | 2.51743i | 0.169086 | + | 0.0976217i | ||||
\(666\) | −0.263101 | + | 0.145527i | −0.0101950 | + | 0.00563905i | ||||
\(667\) | −7.85876 | + | 4.53726i | −0.304292 | + | 0.175683i | ||||
\(668\) | −27.7241 | + | 14.6765i | −1.07268 | + | 0.567852i | ||||
\(669\) | −9.10222 | − | 15.7655i | −0.351912 | − | 0.609530i | ||||
\(670\) | 0.136668 | − | 7.44188i | 0.00527996 | − | 0.287505i | ||||
\(671\) | − | 0.453191i | − | 0.0174953i | ||||||
\(672\) | −29.9858 | − | 21.2002i | −1.15673 | − | 0.817814i | ||||
\(673\) | 16.7563 | − | 29.0227i | 0.645907 | − | 1.11874i | −0.338184 | − | 0.941080i | \(-0.609813\pi\) |
0.984091 | − | 0.177664i | \(-0.0568540\pi\) | |||||||
\(674\) | 32.3757 | − | 17.9077i | 1.24707 | − | 0.689778i | ||||
\(675\) | 5.24026i | 0.201698i | ||||||||
\(676\) | −13.1662 | + | 22.4199i | −0.506394 | + | 0.862302i | ||||
\(677\) | 12.7044i | 0.488269i | 0.969741 | + | 0.244135i | \(0.0785039\pi\) | ||||
−0.969741 | + | 0.244135i | \(0.921496\pi\) | |||||||
\(678\) | −14.7086 | − | 26.5920i | −0.564881 | − | 1.02126i | ||||
\(679\) | 22.7452 | − | 39.3959i | 0.872882 | − | 1.51188i | ||||
\(680\) | −15.8795 | + | 8.03650i | −0.608950 | + | 0.308186i | ||||
\(681\) | 15.9883i | 0.612672i | ||||||||
\(682\) | 0.579557 | + | 0.0106434i | 0.0221924 | + | 0.000407558i | ||||
\(683\) | 8.46499 | + | 14.6618i | 0.323904 | + | 0.561018i | 0.981290 | − | 0.192536i | \(-0.0616712\pi\) |
−0.657386 | + | 0.753554i | \(0.728338\pi\) | |||||||
\(684\) | 0.0648800 | + | 0.122559i | 0.00248075 | + | 0.00468615i | ||||
\(685\) | 12.9467 | − | 7.47477i | 0.494667 | − | 0.285596i | ||||
\(686\) | 0.766128 | + | 1.38510i | 0.0292509 | + | 0.0528834i | ||||
\(687\) | −32.3552 | − | 18.6803i | −1.23443 | − | 0.712697i | ||||
\(688\) | −29.4767 | − | 20.0387i | −1.12379 | − | 0.763967i | ||||
\(689\) | −0.919218 | + | 0.0134798i | −0.0350194 | + | 0.000513539i | ||||
\(690\) | 7.49669 | − | 12.4509i | 0.285394 | − | 0.473999i | ||||
\(691\) | −1.85408 | + | 3.21136i | −0.0705325 | + | 0.122166i | −0.899135 | − | 0.437672i | \(-0.855803\pi\) |
0.828602 | + | 0.559838i | \(0.189137\pi\) | |||||||
\(692\) | −1.54312 | + | 41.9990i | −0.0586608 | + | 1.59656i | ||||
\(693\) | 0.397364 | − | 0.229418i | 0.0150946 | − | 0.00871487i | ||||
\(694\) | 15.3784 | − | 25.5414i | 0.583757 | − | 0.969536i | ||||
\(695\) | −10.5767 | + | 6.10645i | −0.401196 | + | 0.231631i | ||||
\(696\) | −6.56916 | + | 3.32461i | −0.249003 | + | 0.126019i | ||||
\(697\) | − | 79.4605i | − | 3.00978i | ||||||
\(698\) | −0.473979 | + | 25.8092i | −0.0179404 | + | 0.976891i | ||||
\(699\) | 4.63954 | + | 2.67864i | 0.175483 | + | 0.101315i | ||||
\(700\) | −0.277656 | + | 7.55692i | −0.0104944 | + | 0.285625i | ||||
\(701\) | − | 4.72864i | − | 0.178598i | −0.996005 | − | 0.0892992i | \(-0.971537\pi\) | ||
0.996005 | − | 0.0892992i | \(-0.0284627\pi\) | |||||||
\(702\) | 23.1896 | − | 13.2744i | 0.875236 | − | 0.501010i | ||||
\(703\) | −5.43712 | −0.205065 | ||||||||
\(704\) | −11.0413 | + | 15.0240i | −0.416135 | + | 0.566238i | ||||
\(705\) | 2.70466 | − | 4.68461i | 0.101863 | − | 0.176433i | ||||
\(706\) | −31.7406 | − | 0.582908i | −1.19457 | − | 0.0219380i | ||||
\(707\) | −63.4124 | −2.38487 | ||||||||
\(708\) | 32.6685 | + | 20.4963i | 1.22776 | + | 0.770297i | ||||
\(709\) | −4.75914 | − | 8.24308i | −0.178733 | − | 0.309575i | 0.762714 | − | 0.646736i | \(-0.223867\pi\) |
−0.941447 | + | 0.337161i | \(0.890533\pi\) | |||||||
\(710\) | 9.28227 | − | 15.4165i | 0.348357 | − | 0.578571i | ||||
\(711\) | −0.174165 | − | 0.301663i | −0.00653171 | − | 0.0113133i | ||||
\(712\) | −17.3249 | + | 26.5193i | −0.649277 | + | 0.993852i | ||||
\(713\) | −0.911624 | − | 0.526327i | −0.0341406 | − | 0.0197111i | ||||
\(714\) | −49.4900 | − | 29.7979i | −1.85212 | − | 1.11516i | ||||
\(715\) | −7.33815 | − | 4.09441i | −0.274431 | − | 0.153122i | ||||
\(716\) | −18.4903 | + | 9.78839i | −0.691016 | + | 0.365809i | ||||
\(717\) | 3.74981 | − | 6.49486i | 0.140039 | − | 0.242555i | ||||
\(718\) | 13.0284 | + | 23.5544i | 0.486216 | + | 0.879041i | ||||
\(719\) | −8.53992 | − | 14.7916i | −0.318485 | − | 0.551633i | 0.661687 | − | 0.749780i | \(-0.269841\pi\) |
−0.980172 | + | 0.198148i | \(0.936507\pi\) | |||||||
\(720\) | −0.117094 | + | 0.172245i | −0.00436385 | + | 0.00641917i | ||||
\(721\) | −39.5316 | + | 22.8236i | −1.47224 | + | 0.849995i | ||||
\(722\) | 0.447334 | − | 24.3583i | 0.0166480 | − | 0.906520i | ||||
\(723\) | 22.3241 | 0.830243 | ||||||||
\(724\) | 13.0501 | + | 8.18766i | 0.485004 | + | 0.304292i | ||||
\(725\) | 1.31297 | + | 0.758042i | 0.0487624 | + | 0.0281530i | ||||
\(726\) | −6.54413 | − | 11.8313i | −0.242875 | − | 0.439100i | ||||
\(727\) | 33.5816 | 1.24547 | 0.622736 | − | 0.782432i | \(-0.286021\pi\) | ||||
0.622736 | + | 0.782432i | \(0.286021\pi\) | |||||||
\(728\) | 34.1448 | − | 17.9141i | 1.26549 | − | 0.663942i | ||||
\(729\) | −27.4522 | −1.01675 | ||||||||
\(730\) | −1.32612 | − | 2.39753i | −0.0490820 | − | 0.0887365i | ||||
\(731\) | −48.5572 | − | 28.0345i | −1.79595 | − | 1.03689i | ||||
\(732\) | −0.354873 | + | 0.565623i | −0.0131165 | + | 0.0209060i | ||||
\(733\) | 41.7157 | 1.54080 | 0.770402 | − | 0.637558i | \(-0.220055\pi\) | ||||
0.770402 | + | 0.637558i | \(0.220055\pi\) | |||||||
\(734\) | −0.365893 | + | 19.9236i | −0.0135053 | + | 0.735395i | ||||
\(735\) | −10.8486 | + | 6.26346i | −0.400158 | + | 0.231031i | ||||
\(736\) | 30.7515 | − | 14.1698i | 1.13351 | − | 0.522305i | ||||
\(737\) | −6.13310 | − | 10.6228i | −0.225916 | − | 0.391297i | ||||
\(738\) | −0.450087 | − | 0.813723i | −0.0165679 | − | 0.0299536i | ||||
\(739\) | 3.25983 | − | 5.64619i | 0.119915 | − | 0.207699i | −0.799819 | − | 0.600241i | \(-0.795071\pi\) |
0.919734 | + | 0.392543i | \(0.128405\pi\) | |||||||
\(740\) | −3.82067 | − | 7.21727i | −0.140451 | − | 0.265312i | ||||
\(741\) | 8.24258 | − | 0.120873i | 0.302799 | − | 0.00444036i | ||||
\(742\) | 1.16800 | + | 0.703254i | 0.0428788 | + | 0.0258173i | ||||
\(743\) | −29.7573 | − | 17.1804i | −1.09169 | − | 0.630287i | −0.157664 | − | 0.987493i | \(-0.550396\pi\) |
−0.934026 | + | 0.357206i | \(0.883730\pi\) | |||||||
\(744\) | −0.715004 | − | 0.467108i | −0.0262133 | − | 0.0171250i | ||||
\(745\) | 5.01036 | + | 8.67820i | 0.183565 | + | 0.317944i | ||||
\(746\) | −13.8641 | + | 23.0264i | −0.507602 | + | 0.843055i | ||||
\(747\) | 0.163273 | + | 0.282796i | 0.00597383 | + | 0.0103470i | ||||
\(748\) | −15.5876 | + | 24.8447i | −0.569939 | + | 0.908412i | ||||
\(749\) | −5.69506 | −0.208093 | ||||||||
\(750\) | −2.42773 | − | 0.0445847i | −0.0886482 | − | 0.00162800i | ||||
\(751\) | −6.67823 | + | 11.5670i | −0.243692 | + | 0.422087i | −0.961763 | − | 0.273883i | \(-0.911692\pi\) |
0.718071 | + | 0.695970i | \(0.245025\pi\) | |||||||
\(752\) | 11.3468 | − | 5.48318i | 0.413773 | − | 0.199951i | ||||
\(753\) | 26.4653 | 0.964450 | ||||||||
\(754\) | 0.0285979 | − | 7.73049i | 0.00104147 | − | 0.281528i | ||||
\(755\) | 8.71512i | 0.317176i | ||||||||
\(756\) | −39.6002 | − | 1.45499i | −1.44025 | − | 0.0529174i | ||||
\(757\) | −5.94730 | − | 3.43368i | −0.216158 | − | 0.124799i | 0.388012 | − | 0.921654i | \(-0.373162\pi\) |
−0.604170 | + | 0.796855i | \(0.706495\pi\) | |||||||
\(758\) | 0.0588161 | − | 3.20266i | 0.00213630 | − | 0.116326i | ||||
\(759\) | − | 23.9512i | − | 0.869374i | ||||||
\(760\) | −3.36053 | + | 1.70074i | −0.121899 | + | 0.0616924i | ||||
\(761\) | −37.6520 | + | 21.7384i | −1.36488 | + | 0.788016i | −0.990269 | − | 0.139165i | \(-0.955558\pi\) |
−0.374614 | + | 0.927181i | \(0.622225\pi\) | |||||||
\(762\) | 17.6934 | − | 29.3861i | 0.640963 | − | 1.06455i | ||||
\(763\) | −31.2216 | + | 18.0258i | −1.13030 | + | 0.652578i | ||||
\(764\) | −37.4941 | − | 1.37760i | −1.35649 | − | 0.0498400i | ||||
\(765\) | −0.163817 | + | 0.283740i | −0.00592282 | + | 0.0102586i | ||||
\(766\) | −14.7865 | + | 24.5582i | −0.534258 | + | 0.887326i | ||||
\(767\) | −34.7678 | + | 20.7588i | −1.25539 | + | 0.749558i | ||||
\(768\) | 25.5451 | − | 10.1053i | 0.921780 | − | 0.364645i |