Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [147,2,Mod(20,147)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(147, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([7, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("147.20");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 147 = 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 147.k (of order \(14\), degree \(6\), 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: | \(1.17380090971\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 104.13 | ||
Character | \(\chi\) | \(=\) | 147.104 |
Dual form | 147.2.k.a.41.13 |
$q$-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 \(\left(\mathbb{Z}/147\mathbb{Z}\right)^\times\).
\(n\) | \(50\) | \(52\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{9}{14}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.17656 | + | 0.938273i | 0.831951 | + | 0.663459i | 0.943891 | − | 0.330256i | \(-0.107135\pi\) |
−0.111940 | + | 0.993715i | \(0.535706\pi\) | |||||||
\(3\) | −0.0557372 | + | 1.73115i | −0.0321799 | + | 0.999482i | ||||
\(4\) | 0.0588885 | + | 0.258007i | 0.0294442 | + | 0.129004i | ||||
\(5\) | 0.160135 | + | 0.0771168i | 0.0716144 | + | 0.0344877i | 0.469348 | − | 0.883013i | \(-0.344489\pi\) |
−0.397734 | + | 0.917501i | \(0.630203\pi\) | |||||||
\(6\) | −1.68987 | + | 1.98450i | −0.689888 | + | 0.810171i | ||||
\(7\) | 0.931491 | + | 2.47635i | 0.352071 | + | 0.935973i | ||||
\(8\) | 1.13308 | − | 2.35287i | 0.400606 | − | 0.831866i | ||||
\(9\) | −2.99379 | − | 0.192979i | −0.997929 | − | 0.0643264i | ||||
\(10\) | 0.116051 | + | 0.240982i | 0.0366985 | + | 0.0762053i | ||||
\(11\) | −3.30885 | − | 2.63872i | −0.997655 | − | 0.795604i | −0.0187305 | − | 0.999825i | \(-0.505962\pi\) |
−0.978925 | + | 0.204221i | \(0.934534\pi\) | |||||||
\(12\) | −0.449933 | + | 0.0875644i | −0.129884 | + | 0.0252777i | ||||
\(13\) | 2.71138 | + | 2.16226i | 0.752002 | + | 0.599702i | 0.922654 | − | 0.385630i | \(-0.126016\pi\) |
−0.170651 | + | 0.985331i | \(0.554587\pi\) | |||||||
\(14\) | −1.22754 | + | 3.78756i | −0.328074 | + | 1.01227i | ||||
\(15\) | −0.142426 | + | 0.272919i | −0.0367744 | + | 0.0704675i | ||||
\(16\) | 4.01764 | − | 1.93480i | 1.00441 | − | 0.483699i | ||||
\(17\) | 1.12571 | − | 4.93208i | 0.273026 | − | 1.19620i | −0.633395 | − | 0.773829i | \(-0.718339\pi\) |
0.906421 | − | 0.422376i | \(-0.138804\pi\) | |||||||
\(18\) | −3.34129 | − | 3.03604i | −0.787550 | − | 0.715601i | ||||
\(19\) | − | 0.363498i | − | 0.0833922i | −0.999130 | − | 0.0416961i | \(-0.986724\pi\) | ||
0.999130 | − | 0.0416961i | \(-0.0132761\pi\) | |||||||
\(20\) | −0.0104666 | + | 0.0458572i | −0.00234040 | + | 0.0102540i | ||||
\(21\) | −4.33887 | + | 1.47453i | −0.946818 | + | 0.321769i | ||||
\(22\) | −1.41721 | − | 6.20921i | −0.302150 | − | 1.32381i | ||||
\(23\) | −1.58516 | + | 0.361803i | −0.330529 | + | 0.0754411i | −0.384565 | − | 0.923098i | \(-0.625649\pi\) |
0.0540360 | + | 0.998539i | \(0.482791\pi\) | |||||||
\(24\) | 4.01003 | + | 2.09269i | 0.818544 | + | 0.427168i | ||||
\(25\) | −3.09775 | − | 3.88446i | −0.619551 | − | 0.776892i | ||||
\(26\) | 1.16131 | + | 5.08803i | 0.227752 | + | 0.997845i | ||||
\(27\) | 0.500942 | − | 5.17195i | 0.0964063 | − | 0.995342i | ||||
\(28\) | −0.584063 | + | 0.386160i | −0.110378 | + | 0.0729774i | ||||
\(29\) | 6.82709 | + | 1.55824i | 1.26776 | + | 0.289358i | 0.802946 | − | 0.596051i | \(-0.203265\pi\) |
0.464813 | + | 0.885409i | \(0.346122\pi\) | |||||||
\(30\) | −0.423646 | + | 0.187470i | −0.0773468 | + | 0.0342273i | ||||
\(31\) | 7.18306i | 1.29011i | 0.764134 | + | 0.645057i | \(0.223167\pi\) | ||||
−0.764134 | + | 0.645057i | \(0.776833\pi\) | |||||||
\(32\) | 1.45032 | + | 0.331026i | 0.256383 | + | 0.0585177i | ||||
\(33\) | 4.75245 | − | 5.58105i | 0.827296 | − | 0.971536i | ||||
\(34\) | 5.95210 | − | 4.74664i | 1.02078 | − | 0.814043i | ||||
\(35\) | −0.0418043 | + | 0.468384i | −0.00706622 | + | 0.0791713i | ||||
\(36\) | −0.126510 | − | 0.783783i | −0.0210849 | − | 0.130630i | ||||
\(37\) | 1.12601 | − | 4.93339i | 0.185116 | − | 0.811044i | −0.794029 | − | 0.607880i | \(-0.792020\pi\) |
0.979145 | − | 0.203165i | \(-0.0651226\pi\) | |||||||
\(38\) | 0.341061 | − | 0.427676i | 0.0553273 | − | 0.0693783i | ||||
\(39\) | −3.89432 | + | 4.57330i | −0.623590 | + | 0.732314i | ||||
\(40\) | 0.362892 | − | 0.289397i | 0.0573783 | − | 0.0457577i | ||||
\(41\) | −1.68678 | − | 0.812311i | −0.263431 | − | 0.126862i | 0.297507 | − | 0.954720i | \(-0.403845\pi\) |
−0.560938 | + | 0.827858i | \(0.689559\pi\) | |||||||
\(42\) | −6.48844 | − | 2.33617i | −1.00119 | − | 0.360479i | ||||
\(43\) | −5.20198 | + | 2.50514i | −0.793294 | + | 0.382030i | −0.786222 | − | 0.617944i | \(-0.787966\pi\) |
−0.00707276 | + | 0.999975i | \(0.502251\pi\) | |||||||
\(44\) | 0.485955 | − | 1.00910i | 0.0732605 | − | 0.152127i | ||||
\(45\) | −0.464527 | − | 0.261774i | −0.0692476 | − | 0.0390229i | ||||
\(46\) | −2.20450 | − | 1.06163i | −0.325036 | − | 0.156529i | ||||
\(47\) | −0.502413 | + | 0.630007i | −0.0732845 | + | 0.0918959i | −0.817122 | − | 0.576464i | \(-0.804432\pi\) |
0.743838 | + | 0.668360i | \(0.233003\pi\) | |||||||
\(48\) | 3.12550 | + | 7.06300i | 0.451127 | + | 1.01946i | ||||
\(49\) | −5.26465 | + | 4.61340i | −0.752093 | + | 0.659058i | ||||
\(50\) | − | 7.47683i | − | 1.05738i | ||||||
\(51\) | 8.47544 | + | 2.22368i | 1.18680 | + | 0.311378i | ||||
\(52\) | −0.398208 | + | 0.826888i | −0.0552216 | + | 0.114669i | ||||
\(53\) | −9.35701 | + | 2.13568i | −1.28528 | + | 0.293358i | −0.809977 | − | 0.586462i | \(-0.800520\pi\) |
−0.475307 | + | 0.879820i | \(0.657663\pi\) | |||||||
\(54\) | 5.44209 | − | 5.61507i | 0.740574 | − | 0.764115i | ||||
\(55\) | −0.326372 | − | 0.677718i | −0.0440080 | − | 0.0913835i | ||||
\(56\) | 6.88200 | + | 0.614235i | 0.919646 | + | 0.0820806i | ||||
\(57\) | 0.629271 | + | 0.0202604i | 0.0833490 | + | 0.00268355i | ||||
\(58\) | 6.57041 | + | 8.23903i | 0.862737 | + | 1.08184i | ||||
\(59\) | −13.6474 | + | 6.57225i | −1.77674 | + | 0.855634i | −0.816068 | + | 0.577956i | \(0.803850\pi\) |
−0.960674 | + | 0.277677i | \(0.910435\pi\) | |||||||
\(60\) | −0.0788025 | − | 0.0206753i | −0.0101734 | − | 0.00266916i | ||||
\(61\) | −2.09383 | − | 0.477903i | −0.268088 | − | 0.0611892i | 0.0863639 | − | 0.996264i | \(-0.472475\pi\) |
−0.354451 | + | 0.935074i | \(0.615332\pi\) | |||||||
\(62\) | −6.73967 | + | 8.45127i | −0.855938 | + | 1.07331i | ||||
\(63\) | −2.31080 | − | 7.59343i | −0.291134 | − | 0.956682i | ||||
\(64\) | −4.16480 | − | 5.22250i | −0.520600 | − | 0.652812i | ||||
\(65\) | 0.267440 | + | 0.555345i | 0.0331719 | + | 0.0688821i | ||||
\(66\) | 10.8281 | − | 2.10733i | 1.33284 | − | 0.259394i | ||||
\(67\) | 11.4382 | 1.39740 | 0.698701 | − | 0.715413i | \(-0.253762\pi\) | ||||
0.698701 | + | 0.715413i | \(0.253762\pi\) | |||||||
\(68\) | 1.33880 | 0.162354 | ||||||||
\(69\) | −0.537984 | − | 2.76432i | −0.0647656 | − | 0.332786i | ||||
\(70\) | −0.488657 | + | 0.511856i | −0.0584057 | + | 0.0611785i | ||||
\(71\) | −2.33876 | + | 0.533807i | −0.277560 | + | 0.0633512i | −0.359035 | − | 0.933324i | \(-0.616894\pi\) |
0.0814749 | + | 0.996675i | \(0.474037\pi\) | |||||||
\(72\) | −3.84627 | + | 6.82534i | −0.453287 | + | 0.804374i | ||||
\(73\) | −5.60382 | + | 4.46890i | −0.655878 | + | 0.523045i | −0.893930 | − | 0.448207i | \(-0.852063\pi\) |
0.238052 | + | 0.971252i | \(0.423491\pi\) | |||||||
\(74\) | 5.95369 | − | 4.74791i | 0.692102 | − | 0.551933i | ||||
\(75\) | 6.89726 | − | 5.14618i | 0.796427 | − | 0.594229i | ||||
\(76\) | 0.0937852 | − | 0.0214059i | 0.0107579 | − | 0.00245542i | ||||
\(77\) | 3.45223 | − | 10.6518i | 0.393419 | − | 1.21389i | ||||
\(78\) | −8.87290 | + | 1.72681i | −1.00466 | + | 0.195523i | ||||
\(79\) | 3.69360 | 0.415563 | 0.207781 | − | 0.978175i | \(-0.433376\pi\) | ||||
0.207781 | + | 0.978175i | \(0.433376\pi\) | |||||||
\(80\) | 0.792569 | 0.0886120 | ||||||||
\(81\) | 8.92552 | + | 1.15548i | 0.991724 | + | 0.128386i | ||||
\(82\) | −1.22242 | − | 2.53839i | −0.134994 | − | 0.280318i | ||||
\(83\) | 10.5063 | + | 13.1744i | 1.15321 | + | 1.44608i | 0.874049 | + | 0.485837i | \(0.161485\pi\) |
0.279162 | + | 0.960244i | \(0.409943\pi\) | |||||||
\(84\) | −0.635949 | − | 1.03263i | −0.0693877 | − | 0.112669i | ||||
\(85\) | 0.560612 | − | 0.702985i | 0.0608069 | − | 0.0762494i | ||||
\(86\) | −8.47093 | − | 1.93343i | −0.913444 | − | 0.208488i | ||||
\(87\) | −3.07807 | + | 11.7319i | −0.330004 | + | 1.25779i | ||||
\(88\) | −9.95777 | + | 4.79541i | −1.06150 | + | 0.511193i | ||||
\(89\) | −1.63575 | − | 2.05117i | −0.173390 | − | 0.217424i | 0.687542 | − | 0.726145i | \(-0.258690\pi\) |
−0.860931 | + | 0.508721i | \(0.830118\pi\) | |||||||
\(90\) | −0.300927 | − | 0.743845i | −0.0317205 | − | 0.0784082i | ||||
\(91\) | −2.82888 | + | 8.72846i | −0.296547 | + | 0.914991i | ||||
\(92\) | −0.186695 | − | 0.387677i | −0.0194643 | − | 0.0404181i | ||||
\(93\) | −12.4350 | − | 0.400363i | −1.28945 | − | 0.0415157i | ||||
\(94\) | −1.18224 | + | 0.269838i | −0.121938 | + | 0.0278316i | ||||
\(95\) | 0.0280318 | − | 0.0582087i | 0.00287600 | − | 0.00597208i | ||||
\(96\) | −0.653894 | + | 2.49228i | −0.0667378 | + | 0.254367i | ||||
\(97\) | 0.550512i | 0.0558961i | 0.999609 | + | 0.0279480i | \(0.00889730\pi\) | ||||
−0.999609 | + | 0.0279480i | \(0.991103\pi\) | |||||||
\(98\) | −10.5228 | + | 0.488255i | −1.06296 | + | 0.0493212i | ||||
\(99\) | 9.39677 | + | 8.53830i | 0.944411 | + | 0.858131i | ||||
\(100\) | 0.819797 | − | 1.02799i | 0.0819797 | − | 0.102799i | ||||
\(101\) | 4.21294 | + | 2.02884i | 0.419203 | + | 0.201878i | 0.631581 | − | 0.775310i | \(-0.282406\pi\) |
−0.212378 | + | 0.977188i | \(0.568121\pi\) | |||||||
\(102\) | 7.88542 | + | 10.5686i | 0.780772 | + | 1.04644i | ||||
\(103\) | −0.241702 | + | 0.501900i | −0.0238156 | + | 0.0494537i | −0.912537 | − | 0.408993i | \(-0.865880\pi\) |
0.888722 | + | 0.458447i | \(0.151594\pi\) | |||||||
\(104\) | 8.15974 | − | 3.92952i | 0.800128 | − | 0.385321i | ||||
\(105\) | −0.808514 | − | 0.0984761i | −0.0789029 | − | 0.00961028i | ||||
\(106\) | −13.0129 | − | 6.26668i | −1.26392 | − | 0.608674i | ||||
\(107\) | 14.4361 | − | 11.5124i | 1.39559 | − | 1.11295i | 0.416594 | − | 0.909092i | \(-0.363224\pi\) |
0.979001 | − | 0.203857i | \(-0.0653479\pi\) | |||||||
\(108\) | 1.36390 | − | 0.175322i | 0.131241 | − | 0.0168703i | ||||
\(109\) | 6.52952 | − | 8.18776i | 0.625415 | − | 0.784245i | −0.363680 | − | 0.931524i | \(-0.618480\pi\) |
0.989095 | + | 0.147278i | \(0.0470514\pi\) | |||||||
\(110\) | 0.251889 | − | 1.10360i | 0.0240167 | − | 0.105224i | ||||
\(111\) | 8.47770 | + | 2.22428i | 0.804667 | + | 0.211119i | ||||
\(112\) | 8.53364 | + | 8.14686i | 0.806353 | + | 0.769806i | ||||
\(113\) | −4.20092 | + | 3.35012i | −0.395189 | + | 0.315153i | −0.800843 | − | 0.598874i | \(-0.795615\pi\) |
0.405654 | + | 0.914027i | \(0.367044\pi\) | |||||||
\(114\) | 0.721364 | + | 0.614266i | 0.0675619 | + | 0.0575313i | ||||
\(115\) | −0.281740 | − | 0.0643054i | −0.0262724 | − | 0.00599651i | ||||
\(116\) | 1.85320i | 0.172065i | ||||||||
\(117\) | −7.70003 | − | 6.99657i | −0.711868 | − | 0.646833i | ||||
\(118\) | −22.2235 | − | 5.07237i | −2.04584 | − | 0.466950i | ||||
\(119\) | 13.2622 | − | 1.80652i | 1.21574 | − | 0.165604i | ||||
\(120\) | 0.480764 | + | 0.644352i | 0.0438875 | + | 0.0588210i | ||||
\(121\) | 1.53791 | + | 6.73803i | 0.139810 | + | 0.612548i | ||||
\(122\) | −2.01511 | − | 2.52687i | −0.182439 | − | 0.228772i | ||||
\(123\) | 1.50025 | − | 2.87480i | 0.135273 | − | 0.259212i | ||||
\(124\) | −1.85328 | + | 0.422999i | −0.166429 | + | 0.0379864i | ||||
\(125\) | −0.394251 | − | 1.72732i | −0.0352628 | − | 0.154497i | ||||
\(126\) | 4.40592 | − | 11.1023i | 0.392511 | − | 0.989069i | ||||
\(127\) | −0.438500 | + | 1.92119i | −0.0389106 | + | 0.170478i | −0.990650 | − | 0.136430i | \(-0.956437\pi\) |
0.951739 | + | 0.306908i | \(0.0992944\pi\) | |||||||
\(128\) | − | 13.0275i | − | 1.15148i | ||||||
\(129\) | −4.04684 | − | 9.14506i | −0.356305 | − | 0.805177i | ||||
\(130\) | −0.206407 | + | 0.904327i | −0.0181031 | + | 0.0793147i | ||||
\(131\) | −9.69014 | + | 4.66652i | −0.846631 | + | 0.407716i | −0.806326 | − | 0.591471i | \(-0.798547\pi\) |
−0.0403051 | + | 0.999187i | \(0.512833\pi\) | |||||||
\(132\) | 1.71982 | + | 0.897508i | 0.149691 | + | 0.0781180i | ||||
\(133\) | 0.900150 | − | 0.338595i | 0.0780529 | − | 0.0293600i | ||||
\(134\) | 13.4577 | + | 10.7322i | 1.16257 | + | 0.927120i | ||||
\(135\) | 0.479062 | − | 0.789577i | 0.0412311 | − | 0.0679560i | ||||
\(136\) | −10.3290 | − | 8.23712i | −0.885707 | − | 0.706327i | ||||
\(137\) | 1.98872 | + | 4.12961i | 0.169907 | + | 0.352816i | 0.968484 | − | 0.249077i | \(-0.0801273\pi\) |
−0.798576 | + | 0.601894i | \(0.794413\pi\) | |||||||
\(138\) | 1.96072 | − | 3.75716i | 0.166908 | − | 0.319831i | ||||
\(139\) | 4.08871 | − | 8.49029i | 0.346799 | − | 0.720137i | −0.652491 | − | 0.757796i | \(-0.726276\pi\) |
0.999291 | + | 0.0376598i | \(0.0119903\pi\) | |||||||
\(140\) | −0.123308 | + | 0.0167966i | −0.0104214 | + | 0.00141957i | ||||
\(141\) | −1.06264 | − | 0.904870i | −0.0894900 | − | 0.0762038i | ||||
\(142\) | −3.25254 | − | 1.56634i | −0.272947 | − | 0.131445i | ||||
\(143\) | −3.26597 | − | 14.3091i | −0.273114 | − | 1.19659i | ||||
\(144\) | −12.4013 | + | 5.01704i | −1.03345 | + | 0.418087i | ||||
\(145\) | 0.973088 | + | 0.776011i | 0.0808105 | + | 0.0644442i | ||||
\(146\) | −10.7863 | −0.892678 | ||||||||
\(147\) | −7.69307 | − | 9.37105i | −0.634514 | − | 0.772911i | ||||
\(148\) | 1.33916 | 0.110078 | ||||||||
\(149\) | 12.8259 | + | 10.2283i | 1.05074 | + | 0.837939i | 0.987111 | − | 0.160035i | \(-0.0511607\pi\) |
0.0636303 | + | 0.997974i | \(0.479732\pi\) | |||||||
\(150\) | 12.9435 | + | 0.416737i | 1.05684 | + | 0.0340264i | ||||
\(151\) | −0.707624 | − | 3.10030i | −0.0575856 | − | 0.252299i | 0.937939 | − | 0.346800i | \(-0.112732\pi\) |
−0.995525 | + | 0.0945007i | \(0.969875\pi\) | |||||||
\(152\) | −0.855265 | − | 0.411874i | −0.0693712 | − | 0.0334074i | ||||
\(153\) | −4.32194 | + | 14.5483i | −0.349408 | + | 1.17616i | ||||
\(154\) | 14.0561 | − | 9.29333i | 1.13267 | − | 0.748878i | ||||
\(155\) | −0.553934 | + | 1.15026i | −0.0444931 | + | 0.0923908i | ||||
\(156\) | −1.40928 | − | 0.735448i | −0.112832 | − | 0.0588830i | ||||
\(157\) | −7.31203 | − | 15.1836i | −0.583564 | − | 1.21178i | −0.958596 | − | 0.284770i | \(-0.908083\pi\) |
0.375032 | − | 0.927012i | \(-0.377632\pi\) | |||||||
\(158\) | 4.34573 | + | 3.46561i | 0.345728 | + | 0.275709i | ||||
\(159\) | −3.17565 | − | 16.3175i | −0.251845 | − | 1.29406i | ||||
\(160\) | 0.206719 | + | 0.164853i | 0.0163426 | + | 0.0130328i | ||||
\(161\) | −2.37252 | − | 3.58840i | −0.186980 | − | 0.282806i | ||||
\(162\) | 9.41723 | + | 9.73406i | 0.739887 | + | 0.764780i | ||||
\(163\) | 5.60254 | − | 2.69804i | 0.438825 | − | 0.211327i | −0.201408 | − | 0.979507i | \(-0.564552\pi\) |
0.640234 | + | 0.768180i | \(0.278838\pi\) | |||||||
\(164\) | 0.110250 | − | 0.483038i | 0.00860909 | − | 0.0377189i | ||||
\(165\) | 1.19143 | − | 0.527226i | 0.0927523 | − | 0.0410445i | ||||
\(166\) | 25.3582i | 1.96818i | ||||||||
\(167\) | 2.60843 | − | 11.4283i | 0.201846 | − | 0.884347i | −0.767965 | − | 0.640491i | \(-0.778731\pi\) |
0.969812 | − | 0.243855i | \(-0.0784122\pi\) | |||||||
\(168\) | −1.44692 | + | 11.8796i | −0.111632 | + | 0.916529i | ||||
\(169\) | −0.216525 | − | 0.948660i | −0.0166558 | − | 0.0729738i | ||||
\(170\) | 1.31918 | − | 0.301095i | 0.101177 | − | 0.0230929i | ||||
\(171\) | −0.0701476 | + | 1.08824i | −0.00536432 | + | 0.0832195i | ||||
\(172\) | −0.952681 | − | 1.19462i | −0.0726413 | − | 0.0910893i | ||||
\(173\) | −1.48849 | − | 6.52149i | −0.113168 | − | 0.495820i | −0.999465 | − | 0.0327033i | \(-0.989588\pi\) |
0.886298 | − | 0.463116i | \(-0.153269\pi\) | |||||||
\(174\) | −14.6292 | + | 10.9152i | −1.10904 | + | 0.827477i | ||||
\(175\) | 6.73376 | − | 11.2895i | 0.509025 | − | 0.853404i | ||||
\(176\) | −18.3992 | − | 4.19949i | −1.38689 | − | 0.316548i | ||||
\(177\) | −10.6169 | − | 23.9921i | −0.798015 | − | 1.80336i | ||||
\(178\) | − | 3.94810i | − | 0.295923i | ||||||
\(179\) | −1.21794 | − | 0.277986i | −0.0910328 | − | 0.0207776i | 0.176762 | − | 0.984254i | \(-0.443438\pi\) |
−0.267795 | + | 0.963476i | \(0.586295\pi\) | |||||||
\(180\) | 0.0401843 | − | 0.135267i | 0.00299516 | − | 0.0100822i | ||||
\(181\) | 17.8456 | − | 14.2314i | 1.32645 | − | 1.05781i | 0.333074 | − | 0.942901i | \(-0.391914\pi\) |
0.993376 | − | 0.114908i | \(-0.0366573\pi\) | |||||||
\(182\) | −11.5180 | + | 7.61527i | −0.853772 | + | 0.564482i | ||||
\(183\) | 0.944028 | − | 3.59811i | 0.0697846 | − | 0.265980i | ||||
\(184\) | −0.944845 | + | 4.13964i | −0.0696549 | + | 0.305178i | ||||
\(185\) | 0.560761 | − | 0.703172i | 0.0412280 | − | 0.0516982i | ||||
\(186\) | −14.2548 | − | 12.1384i | −1.04521 | − | 0.890034i | ||||
\(187\) | −16.7392 | + | 13.3491i | −1.22409 | + | 0.976179i | ||||
\(188\) | −0.192133 | − | 0.0925262i | −0.0140127 | − | 0.00674817i | ||||
\(189\) | 13.2742 | − | 3.57712i | 0.965556 | − | 0.260197i | ||||
\(190\) | 0.0875966 | − | 0.0421843i | 0.00635493 | − | 0.00306037i | ||||
\(191\) | −8.22945 | + | 17.0886i | −0.595462 | + | 1.23649i | 0.357645 | + | 0.933858i | \(0.383580\pi\) |
−0.953107 | + | 0.302633i | \(0.902135\pi\) | |||||||
\(192\) | 9.27308 | − | 6.91882i | 0.669227 | − | 0.499323i | ||||
\(193\) | 12.4538 | + | 5.99742i | 0.896443 | + | 0.431704i | 0.824603 | − | 0.565712i | \(-0.191399\pi\) |
0.0718399 | + | 0.997416i | \(0.477113\pi\) | |||||||
\(194\) | −0.516531 | + | 0.647709i | −0.0370848 | + | 0.0465028i | ||||
\(195\) | −0.976294 | + | 0.432027i | −0.0699139 | + | 0.0309381i | ||||
\(196\) | −1.50032 | − | 1.08664i | −0.107166 | − | 0.0776172i | ||||
\(197\) | 14.2135i | 1.01267i | 0.862336 | + | 0.506336i | \(0.169000\pi\) | ||||
−0.862336 | + | 0.506336i | \(0.831000\pi\) | |||||||
\(198\) | 3.04458 | + | 18.8625i | 0.216369 | + | 1.34050i | ||||
\(199\) | −4.55235 | + | 9.45306i | −0.322708 | + | 0.670109i | −0.997705 | − | 0.0677108i | \(-0.978430\pi\) |
0.674997 | + | 0.737820i | \(0.264145\pi\) | |||||||
\(200\) | −12.6497 | + | 2.88720i | −0.894466 | + | 0.204156i | ||||
\(201\) | −0.637535 | + | 19.8013i | −0.0449682 | + | 1.39668i | ||||
\(202\) | 3.05315 | + | 6.33994i | 0.214819 | + | 0.446077i | ||||
\(203\) | 2.50063 | + | 18.3578i | 0.175510 | + | 1.28846i | ||||
\(204\) | −0.0746211 | + | 2.31767i | −0.00522452 | + | 0.162270i | ||||
\(205\) | −0.207469 | − | 0.260158i | −0.0144903 | − | 0.0181702i | ||||
\(206\) | −0.755296 | + | 0.363731i | −0.0526239 | + | 0.0253424i | ||||
\(207\) | 4.81546 | − | 0.777257i | 0.334697 | − | 0.0540231i | ||||
\(208\) | 15.0769 | + | 3.44120i | 1.04539 | + | 0.238604i | ||||
\(209\) | −0.959169 | + | 1.20276i | −0.0663471 | + | 0.0831967i | ||||
\(210\) | −0.858865 | − | 0.874469i | −0.0592673 | − | 0.0603441i | ||||
\(211\) | 16.8094 | + | 21.0784i | 1.15721 | + | 1.45110i | 0.869880 | + | 0.493264i | \(0.164196\pi\) |
0.287331 | + | 0.957831i | \(0.407232\pi\) | |||||||
\(212\) | −1.10204 | − | 2.28841i | −0.0756884 | − | 0.157169i | ||||
\(213\) | −0.793746 | − | 4.07851i | −0.0543866 | − | 0.279455i | ||||
\(214\) | 27.7868 | 1.89946 | ||||||||
\(215\) | −1.02621 | −0.0699867 | ||||||||
\(216\) | −11.6013 | − | 7.03891i | −0.789371 | − | 0.478937i | ||||
\(217\) | −17.7878 | + | 6.69095i | −1.20751 | + | 0.454212i | ||||
\(218\) | 15.3647 | − | 3.50689i | 1.04063 | − | 0.237517i | ||||
\(219\) | −7.42401 | − | 9.95016i | −0.501668 | − | 0.672370i | ||||
\(220\) | 0.155637 | − | 0.124116i | 0.0104930 | − | 0.00836790i | ||||
\(221\) | 13.7167 | − | 10.9387i | 0.922682 | − | 0.735814i | ||||
\(222\) | 7.88751 | + | 10.5714i | 0.529375 | + | 0.709505i | ||||
\(223\) | −19.5454 | + | 4.46110i | −1.30885 | + | 0.298737i | −0.819365 | − | 0.573272i | \(-0.805674\pi\) |
−0.489489 | + | 0.872010i | \(0.662817\pi\) | |||||||
\(224\) | 0.531223 | + | 3.89985i | 0.0354938 | + | 0.260570i | ||||
\(225\) | 8.52439 | + | 12.2270i | 0.568293 | + | 0.815136i | ||||
\(226\) | −8.08594 | −0.537869 | ||||||||
\(227\) | 11.9128 | 0.790678 | 0.395339 | − | 0.918535i | \(-0.370627\pi\) | ||||
0.395339 | + | 0.918535i | \(0.370627\pi\) | |||||||
\(228\) | 0.0318295 | + | 0.163550i | 0.00210796 | + | 0.0108313i | ||||
\(229\) | 0.809301 | + | 1.68053i | 0.0534801 | + | 0.111053i | 0.925996 | − | 0.377533i | \(-0.123227\pi\) |
−0.872516 | + | 0.488585i | \(0.837513\pi\) | |||||||
\(230\) | −0.271148 | − | 0.340008i | −0.0178789 | − | 0.0224195i | ||||
\(231\) | 18.2475 | + | 6.57005i | 1.20060 | + | 0.432278i | ||||
\(232\) | 11.4020 | − | 14.2977i | 0.748579 | − | 0.938688i | ||||
\(233\) | −23.4982 | − | 5.36331i | −1.53942 | − | 0.351362i | −0.633138 | − | 0.774039i | \(-0.718233\pi\) |
−0.906280 | + | 0.422677i | \(0.861090\pi\) | |||||||
\(234\) | −2.49483 | − | 15.4566i | −0.163092 | − | 1.01043i | ||||
\(235\) | −0.129038 | + | 0.0621414i | −0.00841750 | + | 0.00405366i | ||||
\(236\) | −2.49936 | − | 3.13410i | −0.162695 | − | 0.204013i | ||||
\(237\) | −0.205871 | + | 6.39419i | −0.0133727 | + | 0.415347i | ||||
\(238\) | 17.2987 | + | 10.3180i | 1.12131 | + | 0.668820i | ||||
\(239\) | −7.02615 | − | 14.5900i | −0.454484 | − | 0.943746i | −0.994758 | − | 0.102257i | \(-0.967394\pi\) |
0.540274 | − | 0.841489i | \(-0.318321\pi\) | |||||||
\(240\) | −0.0441756 | + | 1.37206i | −0.00285152 | + | 0.0885661i | ||||
\(241\) | 9.85112 | − | 2.24845i | 0.634567 | − | 0.144836i | 0.106876 | − | 0.994272i | \(-0.465915\pi\) |
0.527691 | + | 0.849437i | \(0.323058\pi\) | |||||||
\(242\) | −4.51267 | + | 9.37066i | −0.290085 | + | 0.602369i | ||||
\(243\) | −2.49779 | + | 15.3870i | −0.160233 | + | 0.987079i | ||||
\(244\) | − | 0.568367i | − | 0.0363859i | ||||||
\(245\) | −1.19882 | + | 0.332773i | −0.0765900 | + | 0.0212601i | ||||
\(246\) | 4.46248 | − | 1.97472i | 0.284517 | − | 0.125904i | ||||
\(247\) | 0.785976 | − | 0.985583i | 0.0500105 | − | 0.0627111i | ||||
\(248\) | 16.9008 | + | 8.13901i | 1.07320 | + | 0.516827i | ||||
\(249\) | −23.3926 | + | 17.4536i | −1.48244 | + | 1.10608i | ||||
\(250\) | 1.15684 | − | 2.40221i | 0.0731652 | − | 0.151929i | ||||
\(251\) | 2.94270 | − | 1.41713i | 0.185742 | − | 0.0894484i | −0.338702 | − | 0.940894i | \(-0.609988\pi\) |
0.524443 | + | 0.851445i | \(0.324273\pi\) | |||||||
\(252\) | 1.82308 | − | 1.04337i | 0.114843 | − | 0.0657261i | ||||
\(253\) | 6.19975 | + | 2.98564i | 0.389775 | + | 0.187706i | ||||
\(254\) | −2.31852 | + | 1.84896i | −0.145477 | + | 0.116014i | ||||
\(255\) | 1.18573 | + | 1.00969i | 0.0742532 | + | 0.0632291i | ||||
\(256\) | 3.89377 | − | 4.88263i | 0.243360 | − | 0.305164i | ||||
\(257\) | −2.21365 | + | 9.69862i | −0.138084 | + | 0.604984i | 0.857772 | + | 0.514031i | \(0.171848\pi\) |
−0.995855 | + | 0.0909527i | \(0.971009\pi\) | |||||||
\(258\) | 3.81922 | − | 14.5567i | 0.237774 | − | 0.906262i | ||||
\(259\) | 13.2657 | − | 1.80700i | 0.824290 | − | 0.112282i | ||||
\(260\) | −0.127534 | + | 0.101705i | −0.00790932 | + | 0.00630747i | ||||
\(261\) | −20.1381 | − | 5.98252i | −1.24652 | − | 0.370309i | ||||
\(262\) | −15.7795 | − | 3.60156i | −0.974859 | − | 0.222505i | ||||
\(263\) | 0.309293i | 0.0190718i | 0.999955 | + | 0.00953591i | \(0.00303542\pi\) | ||||
−0.999955 | + | 0.00953591i | \(0.996965\pi\) | |||||||
\(264\) | −7.74658 | − | 17.5057i | −0.476769 | − | 1.07740i | ||||
\(265\) | −1.66308 | − | 0.379587i | −0.102162 | − | 0.0233178i | ||||
\(266\) | 1.37677 | + | 0.446209i | 0.0844153 | + | 0.0273589i | ||||
\(267\) | 3.64206 | − | 2.71742i | 0.222891 | − | 0.166303i | ||||
\(268\) | 0.673580 | + | 2.95115i | 0.0411455 | + | 0.180270i | ||||
\(269\) | 15.1386 | + | 18.9832i | 0.923015 | + | 1.15742i | 0.987200 | + | 0.159486i | \(0.0509837\pi\) |
−0.0641854 | + | 0.997938i | \(0.520445\pi\) | |||||||
\(270\) | 1.30448 | − | 0.479492i | 0.0793883 | − | 0.0291809i | ||||
\(271\) | −19.4997 | + | 4.45069i | −1.18453 | + | 0.270360i | −0.769016 | − | 0.639229i | \(-0.779254\pi\) |
−0.415509 | + | 0.909589i | \(0.636396\pi\) | |||||||
\(272\) | −5.01984 | − | 21.9934i | −0.304373 | − | 1.33354i | ||||
\(273\) | −14.9526 | − | 5.38372i | −0.904975 | − | 0.325838i | ||||
\(274\) | −1.53486 | + | 6.72468i | −0.0927246 | + | 0.406253i | ||||
\(275\) | 21.0272i | 1.26799i | ||||||||
\(276\) | 0.681535 | − | 0.301591i | 0.0410236 | − | 0.0181536i | ||||
\(277\) | 5.87838 | − | 25.7549i | 0.353198 | − | 1.54746i | −0.416550 | − | 0.909113i | \(-0.636761\pi\) |
0.769748 | − | 0.638348i | \(-0.220382\pi\) | |||||||
\(278\) | 12.7768 | − | 6.15298i | 0.766302 | − | 0.369031i | ||||
\(279\) | 1.38618 | − | 21.5045i | 0.0829884 | − | 1.28744i | ||||
\(280\) | 1.05468 | + | 0.629078i | 0.0630292 | + | 0.0375946i | ||||
\(281\) | −21.5849 | − | 17.2134i | −1.28765 | − | 1.02686i | −0.997556 | − | 0.0698649i | \(-0.977743\pi\) |
−0.290090 | − | 0.956999i | \(-0.593685\pi\) | |||||||
\(282\) | −0.401236 | − | 2.06167i | −0.0238933 | − | 0.122771i | ||||
\(283\) | 19.6902 | + | 15.7024i | 1.17046 | + | 0.933412i | 0.998662 | − | 0.0517197i | \(-0.0164702\pi\) |
0.171800 | + | 0.985132i | \(0.445042\pi\) | |||||||
\(284\) | −0.275452 | − | 0.571982i | −0.0163451 | − | 0.0339409i | ||||
\(285\) | 0.0992057 | + | 0.0517718i | 0.00587644 | + | 0.00306670i | ||||
\(286\) | 9.58329 | − | 19.8999i | 0.566672 | − | 1.17671i | ||||
\(287\) | 0.440347 | − | 4.93373i | 0.0259928 | − | 0.291229i | ||||
\(288\) | −4.27807 | − | 1.27090i | −0.252088 | − | 0.0748887i | ||||
\(289\) | −7.74168 | − | 3.72820i | −0.455393 | − | 0.219306i | ||||
\(290\) | 0.416782 | + | 1.82604i | 0.0244743 | + | 0.107229i | ||||
\(291\) | −0.953022 | − | 0.0306840i | −0.0558671 | − | 0.00179873i | ||||
\(292\) | −1.48301 | − | 1.18266i | −0.0867866 | − | 0.0692100i | ||||
\(293\) | −5.13020 | −0.299709 | −0.149855 | − | 0.988708i | \(-0.547881\pi\) | ||||
−0.149855 | + | 0.988708i | \(0.547881\pi\) | |||||||
\(294\) | −0.258734 | − | 18.2438i | −0.0150897 | − | 1.06400i | ||||
\(295\) | −2.69225 | −0.156749 | ||||||||
\(296\) | −10.3318 | − | 8.23932i | −0.600522 | − | 0.478900i | ||||
\(297\) | −15.3049 | + | 15.7914i | −0.888078 | + | 0.916307i | ||||
\(298\) | 5.49347 | + | 24.0685i | 0.318228 | + | 1.39425i | ||||
\(299\) | −5.08029 | − | 2.44654i | −0.293801 | − | 0.141487i | ||||
\(300\) | 1.73392 | + | 1.47649i | 0.100108 | + | 0.0852453i | ||||
\(301\) | −11.0492 | − | 10.5484i | −0.636866 | − | 0.608001i | ||||
\(302\) | 2.07637 | − | 4.31163i | 0.119482 | − | 0.248106i | ||||
\(303\) | −3.74706 | + | 7.18016i | −0.215263 | + | 0.412490i | ||||
\(304\) | −0.703295 | − | 1.46041i | −0.0403367 | − | 0.0837601i | ||||
\(305\) | −0.298441 | − | 0.237998i | −0.0170887 | − | 0.0136277i | ||||
\(306\) | −18.7353 | + | 13.0618i | −1.07103 | + | 0.746694i | ||||
\(307\) | −23.8547 | − | 19.0235i | −1.36146 | − | 1.08573i | −0.987387 | − | 0.158327i | \(-0.949390\pi\) |
−0.374071 | − | 0.927400i | \(-0.622039\pi\) | |||||||
\(308\) | 2.95154 | + | 0.263432i | 0.168180 | + | 0.0150104i | ||||
\(309\) | −0.855394 | − | 0.446398i | −0.0486617 | − | 0.0253947i | ||||
\(310\) | −1.73099 | + | 0.833600i | −0.0983136 | + | 0.0473453i | ||||
\(311\) | 0.667589 | − | 2.92490i | 0.0378555 | − | 0.165856i | −0.952467 | − | 0.304642i | \(-0.901463\pi\) |
0.990322 | + | 0.138787i | \(0.0443202\pi\) | |||||||
\(312\) | 6.34781 | + | 14.3448i | 0.359374 | + | 0.812113i | ||||
\(313\) | 3.32001i | 0.187658i | 0.995588 | + | 0.0938292i | \(0.0299107\pi\) | ||||
−0.995588 | + | 0.0938292i | \(0.970089\pi\) | |||||||
\(314\) | 5.64333 | − | 24.7250i | 0.318471 | − | 1.39531i | ||||
\(315\) | 0.215542 | − | 1.39417i | 0.0121444 | − | 0.0785528i | ||||
\(316\) | 0.217511 | + | 0.952976i | 0.0122359 | + | 0.0536091i | ||||
\(317\) | 1.26865 | − | 0.289561i | 0.0712545 | − | 0.0162634i | −0.186745 | − | 0.982408i | \(-0.559794\pi\) |
0.258000 | + | 0.966145i | \(0.416937\pi\) | |||||||
\(318\) | 11.5739 | − | 22.1780i | 0.649032 | − | 1.24368i | ||||
\(319\) | −18.4781 | − | 23.1707i | −1.03457 | − | 1.29731i | ||||
\(320\) | −0.264187 | − | 1.15748i | −0.0147685 | − | 0.0647050i | ||||
\(321\) | 19.1252 | + | 25.6329i | 1.06746 | + | 1.43069i | ||||
\(322\) | 0.575502 | − | 6.44803i | 0.0320715 | − | 0.359335i | ||||
\(323\) | −1.79280 | − | 0.409195i | −0.0997541 | − | 0.0227682i | ||||
\(324\) | 0.227489 | + | 2.37089i | 0.0126383 | + | 0.131716i | ||||
\(325\) | − | 17.2304i | − | 0.955770i | ||||||
\(326\) | 9.12321 | + | 2.08231i | 0.505288 | + | 0.115329i | ||||
\(327\) | 13.8103 | + | 11.7600i | 0.763713 | + | 0.650328i | ||||
\(328\) | −3.82253 | + | 3.04837i | −0.211064 | + | 0.168318i | ||||
\(329\) | −2.02811 | − | 0.657307i | −0.111813 | − | 0.0362385i | ||||
\(330\) | 1.89646 | + | 0.497571i | 0.104397 | + | 0.0273904i | ||||
\(331\) | −1.41536 | + | 6.20111i | −0.0777954 | + | 0.340844i | −0.998815 | − | 0.0486728i | \(-0.984501\pi\) |
0.921019 | + | 0.389517i | \(0.127358\pi\) | |||||||
\(332\) | −2.78040 | + | 3.48651i | −0.152594 | + | 0.191347i | ||||
\(333\) | −4.32309 | + | 14.5522i | −0.236904 | + | 0.797457i | ||||
\(334\) | 13.7918 | − | 10.9986i | 0.754654 | − | 0.601817i | ||||
\(335\) | 1.83166 | + | 0.882080i | 0.100074 | + | 0.0481932i | ||||
\(336\) | −14.5791 | + | 14.3190i | −0.795356 | + | 0.781163i | ||||
\(337\) | −21.3466 | + | 10.2800i | −1.16282 | + | 0.559985i | −0.912861 | − | 0.408271i | \(-0.866132\pi\) |
−0.249960 | + | 0.968256i | \(0.580418\pi\) | |||||||
\(338\) | 0.635347 | − | 1.31931i | 0.0345583 | − | 0.0717611i | ||||
\(339\) | −5.56542 | − | 7.45916i | −0.302272 | − | 0.405126i | ||||
\(340\) | 0.214389 | + | 0.103244i | 0.0116269 | + | 0.00559920i | ||||
\(341\) | 18.9541 | − | 23.7676i | 1.02642 | − | 1.28709i | ||||
\(342\) | −1.10360 | + | 1.21455i | −0.0596756 | + | 0.0656756i | ||||
\(343\) | −16.3284 | − | 8.73978i | −0.881650 | − | 0.471904i | ||||
\(344\) | 15.0781i | 0.812959i | ||||||||
\(345\) | 0.127026 | − | 0.484152i | 0.00683885 | − | 0.0260659i | ||||
\(346\) | 4.36765 | − | 9.06951i | 0.234806 | − | 0.487580i | ||||
\(347\) | 13.9883 | − | 3.19273i | 0.750930 | − | 0.171395i | 0.170108 | − | 0.985425i | \(-0.445588\pi\) |
0.580822 | + | 0.814031i | \(0.302731\pi\) | |||||||
\(348\) | −3.20818 | − | 0.103292i | −0.171976 | − | 0.00553704i | ||||
\(349\) | 12.8264 | + | 26.6343i | 0.686582 | + | 1.42570i | 0.894280 | + | 0.447509i | \(0.147689\pi\) |
−0.207698 | + | 0.978193i | \(0.566597\pi\) | |||||||
\(350\) | 18.5153 | − | 6.96460i | 0.989682 | − | 0.372273i | ||||
\(351\) | 12.5413 | − | 12.9400i | 0.669406 | − | 0.690684i | ||||
\(352\) | −3.92540 | − | 4.92230i | −0.209225 | − | 0.262360i | ||||
\(353\) | 10.8042 | − | 5.20303i | 0.575050 | − | 0.276930i | −0.123672 | − | 0.992323i | \(-0.539467\pi\) |
0.698722 | + | 0.715394i | \(0.253753\pi\) | |||||||
\(354\) | 10.0197 | − | 38.1896i | 0.532543 | − | 2.02976i | ||||
\(355\) | −0.415682 | − | 0.0948768i | −0.0220621 | − | 0.00503554i | ||||
\(356\) | 0.432890 | − | 0.542827i | 0.0229431 | − | 0.0287698i | ||||
\(357\) | 2.38817 | + | 23.0595i | 0.126395 | + | 1.22044i | ||||
\(358\) | −1.17214 | − | 1.46982i | −0.0619498 | − | 0.0776826i | ||||
\(359\) | 2.71099 | + | 5.62942i | 0.143080 | + | 0.297110i | 0.960178 | − | 0.279390i | \(-0.0901324\pi\) |
−0.817097 | + | 0.576500i | \(0.804418\pi\) | |||||||
\(360\) | −1.14227 | + | 0.796362i | −0.0602029 | + | 0.0419719i | ||||
\(361\) | 18.8679 | 0.993046 | ||||||||
\(362\) | 34.3492 | 1.80535 | ||||||||
\(363\) | −11.7503 | + | 2.28680i | −0.616730 | + | 0.120026i | ||||
\(364\) | −2.41859 | − | 0.215865i | −0.126769 | − | 0.0113144i | ||||
\(365\) | −1.24199 | + | 0.283477i | −0.0650089 | + | 0.0148379i | ||||
\(366\) | 4.48671 | − | 3.34762i | 0.234524 | − | 0.174983i | ||||
\(367\) | −14.5969 | + | 11.6406i | −0.761950 | + | 0.607635i | −0.925433 | − | 0.378912i | \(-0.876298\pi\) |
0.163483 | + | 0.986546i | \(0.447727\pi\) | |||||||
\(368\) | −5.66860 | + | 4.52056i | −0.295496 | + | 0.235650i | ||||
\(369\) | 4.89310 | + | 2.75740i | 0.254725 | + | 0.143544i | ||||
\(370\) | 1.31953 | − | 0.301175i | 0.0685994 | − | 0.0156574i | ||||
\(371\) | −14.0047 | − | 21.1819i | −0.727086 | − | 1.09971i | ||||
\(372\) | −0.628980 | − | 3.23189i | −0.0326111 | − | 0.167566i | ||||
\(373\) | 21.0122 | 1.08797 | 0.543986 | − | 0.839095i | \(-0.316915\pi\) | ||||
0.543986 | + | 0.839095i | \(0.316915\pi\) | |||||||
\(374\) | −32.2197 | −1.66604 | ||||||||
\(375\) | 3.01224 | − | 0.586232i | 0.155551 | − | 0.0302729i | ||||
\(376\) | 0.913049 | + | 1.89597i | 0.0470869 | + | 0.0977770i | ||||
\(377\) | 15.1415 | + | 18.9869i | 0.779829 | + | 0.977875i | ||||
\(378\) | 18.9742 | + | 8.24613i | 0.975925 | + | 0.424135i | ||||
\(379\) | 4.00244 | − | 5.01890i | 0.205591 | − | 0.257803i | −0.668336 | − | 0.743859i | \(-0.732993\pi\) |
0.873928 | + | 0.486056i | \(0.161565\pi\) | |||||||
\(380\) | 0.0166690 | + | 0.00380459i | 0.000855102 | + | 0.000195171i | ||||
\(381\) | −3.30144 | − | 0.866192i | −0.169138 | − | 0.0443764i | ||||
\(382\) | −25.7162 | + | 12.3843i | −1.31576 | + | 0.633635i | ||||
\(383\) | 16.3846 | + | 20.5456i | 0.837214 | + | 1.04983i | 0.998023 | + | 0.0628476i | \(0.0200182\pi\) |
−0.160809 | + | 0.986986i | \(0.551410\pi\) | |||||||
\(384\) | 22.5526 | + | 0.726117i | 1.15088 | + | 0.0370545i | ||||
\(385\) | 1.37426 | − | 1.43950i | 0.0700386 | − | 0.0733637i | ||||
\(386\) | 9.02536 | + | 18.7414i | 0.459379 | + | 0.953910i | ||||
\(387\) | 16.0571 | − | 6.49599i | 0.816226 | − | 0.330210i | ||||
\(388\) | −0.142036 | + | 0.0324188i | −0.00721080 | + | 0.00164582i | ||||
\(389\) | −2.94515 | + | 6.11567i | −0.149325 | + | 0.310077i | −0.962192 | − | 0.272373i | \(-0.912192\pi\) |
0.812867 | + | 0.582450i | \(0.197906\pi\) | |||||||
\(390\) | −1.55402 | − | 0.407726i | −0.0786911 | − | 0.0206460i | ||||
\(391\) | 8.22543i | 0.415978i | ||||||||
\(392\) | 4.88946 | + | 17.6144i | 0.246955 | + | 0.889663i | ||||
\(393\) | −7.53837 | − | 17.0352i | −0.380260 | − | 0.859313i | ||||
\(394\) | −13.3362 | + | 16.7230i | −0.671866 | + | 0.842494i | ||||
\(395\) | 0.591474 | + | 0.284839i | 0.0297603 | + | 0.0143318i | ||||
\(396\) | −1.64958 | + | 2.92724i | −0.0828946 | + | 0.147099i | ||||
\(397\) | 9.61096 | − | 19.9574i | 0.482360 | − | 1.00163i | −0.507771 | − | 0.861492i | \(-0.669530\pi\) |
0.990132 | − | 0.140140i | \(-0.0447552\pi\) | |||||||
\(398\) | −14.2256 | + | 6.85071i | −0.713067 | + | 0.343395i | ||||
\(399\) | 0.535989 | + | 1.57717i | 0.0268330 | + | 0.0789573i | ||||
\(400\) | −19.9613 | − | 9.61286i | −0.998065 | − | 0.480643i | ||||
\(401\) | 19.0491 | − | 15.1912i | 0.951268 | − | 0.758611i | −0.0192059 | − | 0.999816i | \(-0.506114\pi\) |
0.970474 | + | 0.241204i | \(0.0775424\pi\) | |||||||
\(402\) | −19.3292 | + | 22.6992i | −0.964051 | + | 1.13213i | ||||
\(403\) | −15.5316 | + | 19.4760i | −0.773684 | + | 0.970169i | ||||
\(404\) | −0.275363 | + | 1.20644i | −0.0136998 | + | 0.0600229i | ||||
\(405\) | 1.34018 | + | 0.873339i | 0.0665940 | + | 0.0433966i | ||||
\(406\) | −14.2825 | + | 23.9452i | −0.708827 | + | 1.18838i | ||||
\(407\) | −16.7436 | + | 13.3526i | −0.829951 | + | 0.661864i | ||||
\(408\) | 14.8354 | − | 17.4220i | 0.734464 | − | 0.862518i | ||||
\(409\) | 12.4468 | + | 2.84089i | 0.615452 | + | 0.140473i | 0.518872 | − | 0.854852i | \(-0.326352\pi\) |
0.0965807 | + | 0.995325i | \(0.469209\pi\) | |||||||
\(410\) | − | 0.500754i | − | 0.0247305i | ||||||
\(411\) | −7.25984 | + | 3.21260i | −0.358101 | + | 0.158466i | ||||
\(412\) | −0.143727 | − | 0.0328048i | −0.00708094 | − | 0.00161618i | ||||
\(413\) | −28.9877 | − | 27.6738i | −1.42639 | − | 1.36174i | ||||
\(414\) | 6.39494 | + | 3.60372i | 0.314294 | + | 0.177113i | ||||
\(415\) | 0.666446 | + | 2.91989i | 0.0327146 | + | 0.143332i | ||||
\(416\) | 3.21661 | + | 4.03350i | 0.157707 | + | 0.197759i | ||||
\(417\) | 14.4701 | + | 7.55140i | 0.708604 | + | 0.369794i | ||||
\(418\) | −2.25704 | + | 0.515154i | −0.110395 | + | 0.0251970i | ||||
\(419\) | −7.20039 | − | 31.5470i | −0.351762 | − | 1.54117i | −0.773110 | − | 0.634272i | \(-0.781300\pi\) |
0.421348 | − | 0.906899i | \(-0.361557\pi\) | |||||||
\(420\) | −0.0222046 | − | 0.214402i | −0.00108347 | − | 0.0104617i | ||||
\(421\) | −2.84705 | + | 12.4737i | −0.138757 | + | 0.607933i | 0.856952 | + | 0.515395i | \(0.172355\pi\) |
−0.995709 | + | 0.0925375i | \(0.970502\pi\) | |||||||
\(422\) | 40.5718i | 1.97500i | ||||||||
\(423\) | 1.62570 | − | 1.78915i | 0.0790441 | − | 0.0869914i | ||||
\(424\) | −5.57730 | + | 24.4358i | −0.270858 | + | 1.18671i | ||||
\(425\) | −22.6456 | + | 10.9056i | −1.09847 | + | 0.528998i | ||||
\(426\) | 2.89287 | − | 5.54335i | 0.140160 | − | 0.268576i | ||||
\(427\) | −0.766928 | − | 5.63023i | −0.0371143 | − | 0.272466i | ||||
\(428\) | 3.82042 | + | 3.04668i | 0.184667 | + | 0.147267i | ||||
\(429\) | 24.9534 | − | 4.85635i | 1.20476 | − | 0.234467i | ||||
\(430\) | −1.20739 | − | 0.962861i | −0.0582255 | − | 0.0464333i | ||||
\(431\) | −5.85670 | − | 12.1616i | −0.282107 | − | 0.585802i | 0.710976 | − | 0.703217i | \(-0.248254\pi\) |
−0.993083 | + | 0.117415i | \(0.962539\pi\) | |||||||
\(432\) | −7.99406 | − | 21.7483i | −0.384614 | − | 1.04636i | ||||
\(433\) | 1.48761 | − | 3.08906i | 0.0714901 | − | 0.148451i | −0.862161 | − | 0.506634i | \(-0.830889\pi\) |
0.933651 | + | 0.358184i | \(0.116604\pi\) | |||||||
\(434\) | −27.2063 | − | 8.81750i | −1.30594 | − | 0.423254i | ||||
\(435\) | −1.39763 | + | 1.64131i | −0.0670113 | + | 0.0786949i | ||||
\(436\) | 2.49702 | + | 1.20250i | 0.119585 | + | 0.0575893i | ||||
\(437\) | 0.131515 | + | 0.576203i | 0.00629120 | + | 0.0275635i | ||||
\(438\) | 0.601196 | − | 18.6727i | 0.0287262 | − | 0.892215i | ||||
\(439\) | −8.32863 | − | 6.64186i | −0.397504 | − | 0.316999i | 0.404255 | − | 0.914646i | \(-0.367531\pi\) |
−0.801759 | + | 0.597648i | \(0.796102\pi\) | |||||||
\(440\) | −1.96439 | −0.0936487 | ||||||||
\(441\) | 16.6515 | − | 12.7956i | 0.792930 | − | 0.609313i | ||||
\(442\) | 26.4019 | 1.25581 | ||||||||
\(443\) | −31.3236 | − | 24.9797i | −1.48823 | − | 1.18682i | −0.935432 | − | 0.353508i | \(-0.884989\pi\) |
−0.552798 | − | 0.833316i | \(-0.686440\pi\) | |||||||
\(444\) | −0.0746410 | + | 2.31829i | −0.00354230 | + | 0.110021i | ||||
\(445\) | −0.103761 | − | 0.454608i | −0.00491875 | − | 0.0215505i | ||||
\(446\) | −27.1819 | − | 13.0901i | −1.28710 | − | 0.619836i | ||||
\(447\) | −18.4217 | + | 21.6336i | −0.871317 | + | 1.02323i | ||||
\(448\) | 9.05327 | − | 15.1782i | 0.427727 | − | 0.717104i | ||||
\(449\) | 0.649037 | − | 1.34774i | 0.0306300 | − | 0.0636038i | −0.885092 | − | 0.465415i | \(-0.845905\pi\) |
0.915722 | + | 0.401811i | \(0.131619\pi\) | |||||||
\(450\) | −1.44287 | + | 22.3840i | −0.0680176 | + | 1.05519i | ||||
\(451\) | 3.43784 | + | 7.13875i | 0.161882 | + | 0.336151i | ||||
\(452\) | −1.11174 | − | 0.886583i | −0.0522919 | − | 0.0417014i | ||||
\(453\) | 5.40654 | − | 1.05220i | 0.254022 | − | 0.0494369i | ||||
\(454\) | 14.0161 | + | 11.1774i | 0.657806 | + | 0.524583i | ||||
\(455\) | −1.12611 | + | 1.17958i | −0.0527930 | + | 0.0552993i | ||||
\(456\) | 0.760687 | − | 1.45764i | 0.0356225 | − | 0.0682602i | ||||
\(457\) | −16.7736 | + | 8.07774i | −0.784636 | + | 0.377861i | −0.782908 | − | 0.622138i | \(-0.786264\pi\) |
−0.00172816 | + | 0.999999i | \(0.500550\pi\) | |||||||
\(458\) | −0.624608 | + | 2.73659i | −0.0291860 | + | 0.127872i | ||||
\(459\) | −24.9445 | − | 8.29282i | −1.16431 | − | 0.387076i | ||||
\(460\) | − | 0.0764779i | − | 0.00356580i | ||||||
\(461\) | −7.84702 | + | 34.3801i | −0.365472 | + | 1.60124i | 0.373585 | + | 0.927596i | \(0.378129\pi\) |
−0.739057 | + | 0.673643i | \(0.764729\pi\) | |||||||
\(462\) | 15.3047 | + | 24.8512i | 0.712041 | + | 1.15618i | ||||
\(463\) | −7.70536 | − | 33.7594i | −0.358099 | − | 1.56893i | −0.757925 | − | 0.652342i | \(-0.773787\pi\) |
0.399826 | − | 0.916591i | \(-0.369070\pi\) | |||||||
\(464\) | 30.4437 | − | 6.94858i | 1.41331 | − | 0.322580i | ||||
\(465\) | −1.96040 | − | 1.02306i | −0.0909112 | − | 0.0474431i | ||||
\(466\) | −22.6147 | − | 28.3580i | −1.04761 | − | 1.31366i | ||||
\(467\) | −3.71174 | − | 16.2622i | −0.171759 | − | 0.752525i | −0.985274 | − | 0.170982i | \(-0.945306\pi\) |
0.813515 | − | 0.581544i | \(-0.197551\pi\) | |||||||
\(468\) | 1.35172 | − | 2.39868i | 0.0624834 | − | 0.110879i | ||||
\(469\) | 10.6546 | + | 28.3251i | 0.491984 | + | 1.30793i | ||||
\(470\) | −0.210126 | − | 0.0479599i | −0.00969239 | − | 0.00221222i | ||||
\(471\) | 26.6927 | − | 11.8120i | 1.22993 | − | 0.544266i | ||||
\(472\) | 39.5576i | 1.82078i | ||||||||
\(473\) | 23.8229 | + | 5.43743i | 1.09538 | + | 0.250013i | ||||
\(474\) | −6.24171 | + | 7.32997i | −0.286691 | + | 0.336677i | ||||
\(475\) | −1.41199 | + | 1.12603i | −0.0647867 | + | 0.0516657i | ||||
\(476\) | 1.24708 | + | 3.31535i | 0.0571600 | + | 0.151959i | ||||
\(477\) | 28.4250 | − | 4.58805i | 1.30149 | − | 0.210072i | ||||
\(478\) | 5.42269 | − | 23.7584i | 0.248028 | − | 1.08668i | ||||
\(479\) | −9.86022 | + | 12.3643i | −0.450525 | + | 0.564940i | −0.954283 | − | 0.298904i | \(-0.903379\pi\) |
0.503758 | + | 0.863845i | \(0.331950\pi\) | |||||||
\(480\) | −0.296907 | + | 0.348674i | −0.0135519 | + | 0.0159147i | ||||
\(481\) | 13.7203 | − | 10.9416i | 0.625592 | − | 0.498893i | ||||
\(482\) | 13.7001 | + | 6.59761i | 0.624021 | + | 0.300513i | ||||
\(483\) | 6.34431 | − | 3.90718i | 0.288676 | − | 0.177783i | ||||
\(484\) | −1.64790 | + | 0.793585i | −0.0749043 | + | 0.0360720i | ||||
\(485\) | −0.0424538 | + | 0.0881561i | −0.00192773 | + | 0.00400296i | ||||
\(486\) | −17.3760 | + | 15.7601i | −0.788193 | + | 0.714894i | ||||
\(487\) | 1.69673 | + | 0.817101i | 0.0768861 | + | 0.0370264i | 0.471932 | − | 0.881635i | \(-0.343557\pi\) |
−0.395046 | + | 0.918662i | \(0.629271\pi\) | |||||||
\(488\) | −3.49693 | + | 4.38502i | −0.158299 | + | 0.198500i | ||||
\(489\) | 4.35846 | + | 9.84925i | 0.197096 | + | 0.445398i | ||||
\(490\) | −1.72272 | − | 0.733297i | −0.0778244 | − | 0.0331270i | ||||
\(491\) | 11.6554i | 0.526003i | 0.964795 | + | 0.263001i | \(0.0847124\pi\) | ||||
−0.964795 | + | 0.263001i | \(0.915288\pi\) | |||||||
\(492\) | 0.830067 | + | 0.217783i | 0.0374223 | + | 0.00981842i | ||||
\(493\) | 15.3707 | − | 31.9176i | 0.692262 | − | 1.43750i | ||||
\(494\) | 1.84949 | − | 0.422134i | 0.0832125 | − | 0.0189927i | ||||
\(495\) | 0.846302 | + | 2.09193i | 0.0380385 | + | 0.0940251i | ||||
\(496\) | 13.8977 | + | 28.8590i | 0.624027 | + | 1.29581i | ||||
\(497\) | −3.50043 | − | 5.29436i | −0.157016 | − | 0.237485i | ||||
\(498\) | −43.8989 | − | 1.41339i | −1.96716 | − | 0.0633357i | ||||
\(499\) | −10.2080 | − | 12.8004i | −0.456972 | − | 0.573025i | 0.498955 | − | 0.866628i | \(-0.333717\pi\) |
−0.955928 | + | 0.293603i | \(0.905146\pi\) | |||||||
\(500\) | 0.422445 | − | 0.203439i | 0.0188923 | − | 0.00909807i | ||||
\(501\) | 19.6387 | + | 5.15257i | 0.877393 | + | 0.230200i | ||||
\(502\) | 4.79191 | + | 1.09372i | 0.213873 | + | 0.0488152i | ||||
\(503\) | −11.8380 | + | 14.8444i | −0.527831 | + | 0.661879i | −0.972251 | − | 0.233939i | \(-0.924838\pi\) |
0.444420 | + | 0.895819i | \(0.353410\pi\) | |||||||
\(504\) | −20.4847 | − | 3.16697i | −0.912462 | − | 0.141068i | ||||
\(505\) | 0.518180 | + | 0.649777i | 0.0230587 | + | 0.0289147i | ||||
\(506\) | 4.49301 | + | 9.32984i | 0.199739 | + | 0.414762i | ||||
\(507\) | 1.65434 | − | 0.321963i | 0.0734720 | − | 0.0142989i | ||||
\(508\) | −0.521504 | −0.0231380 | ||||||||
\(509\) | −20.7293 | −0.918809 | −0.459405 | − | 0.888227i | \(-0.651937\pi\) | ||||
−0.459405 | + | 0.888227i | \(0.651937\pi\) | |||||||
\(510\) | 0.447714 | + | 2.30049i | 0.0198251 | + | 0.101867i | ||||
\(511\) | −16.2865 | − | 9.71430i | −0.720472 | − | 0.429735i | ||||
\(512\) | −16.2393 | + | 3.70652i | −0.717683 | + | 0.163806i | ||||
\(513\) | −1.87999 | − | 0.182091i | −0.0830038 | − | 0.00803953i | ||||
\(514\) | −11.7044 | + | 9.33398i | −0.516261 | + | 0.411704i | ||||
\(515\) | −0.0774098 | + | 0.0617323i | −0.00341108 | + | 0.00272025i | ||||
\(516\) | 2.12118 | − | 1.58265i | 0.0933797 | − | 0.0696724i | ||||
\(517\) | 3.32482 | − | 0.758868i | 0.146225 | − | 0.0333750i | ||||
\(518\) | 17.3033 | + | 10.3208i | 0.760263 | + | 0.453470i | ||||
\(519\) | 11.3727 | − | 2.21331i | 0.499205 | − | 0.0971536i | ||||
\(520\) | 1.60969 | 0.0705895 | ||||||||
\(521\) | 14.5992 | 0.639602 | 0.319801 | − | 0.947485i | \(-0.396384\pi\) | ||||
0.319801 | + | 0.947485i | \(0.396384\pi\) | |||||||
\(522\) | −18.0804 | − | 25.9339i | −0.791359 | − | 1.13509i | ||||
\(523\) | −14.0425 | − | 29.1595i | −0.614035 | − | 1.27506i | −0.943651 | − | 0.330941i | \(-0.892634\pi\) |
0.329617 | − | 0.944115i | \(-0.393081\pi\) | |||||||
\(524\) | −1.77463 | − | 2.22532i | −0.0775253 | − | 0.0972136i | ||||
\(525\) | 19.1685 | + | 12.2864i | 0.836581 | + | 0.536223i | ||||
\(526\) | −0.290201 | + | 0.363901i | −0.0126534 | + | 0.0158668i | ||||
\(527\) | 35.4274 | + | 8.08607i | 1.54324 | + | 0.352235i | ||||
\(528\) | 8.29548 | − | 31.6177i | 0.361014 | − | 1.37598i | ||||
\(529\) | −18.3404 | + | 8.83229i | −0.797411 | + | 0.384013i | ||||
\(530\) | −1.60055 | − | 2.00703i | −0.0695235 | − | 0.0871797i | ||||
\(531\) | 42.1258 | − | 17.0422i | 1.82810 | − | 0.739570i | ||||
\(532\) | 0.140369 | + | 0.212306i | 0.00608575 | + | 0.00920463i | ||||
\(533\) | −2.81709 | − | 5.84974i | −0.122022 | − | 0.253380i | ||||
\(534\) | 6.83477 | + | 0.220056i | 0.295770 | + | 0.00952276i | ||||
\(535\) | 3.19953 | − | 0.730272i | 0.138328 | − | 0.0315724i | ||||
\(536\) | 12.9605 | − | 26.9127i | 0.559808 | − | 1.16245i | ||||
\(537\) | 0.549121 | − | 2.09294i | 0.0236963 | − | 0.0903171i | ||||
\(538\) | 36.5389i | 1.57530i | ||||||||
\(539\) | 29.5934 | − | 1.37313i | 1.27468 | − | 0.0591447i | ||||
\(540\) | 0.231928 | + | 0.0771045i | 0.00998059 | + | 0.00331805i | ||||
\(541\) | 21.1816 | − | 26.5609i | 0.910667 | − | 1.14194i | −0.0787577 | − | 0.996894i | \(-0.525095\pi\) |
0.989425 | − | 0.145047i | \(-0.0463332\pi\) | |||||||
\(542\) | −27.1185 | − | 13.0596i | −1.16484 | − | 0.560958i | ||||
\(543\) | 23.6420 | + | 31.6866i | 1.01458 | + | 1.35980i | ||||
\(544\) | 3.26529 | − | 6.78045i | 0.139998 | − | 0.290709i | ||||
\(545\) | 1.67702 | − | 0.807609i | 0.0718355 | − | 0.0345942i | ||||
\(546\) | −12.5412 | − | 20.3639i | −0.536715 | − | 0.871495i | ||||
\(547\) | 1.41284 | + | 0.680386i | 0.0604085 | + | 0.0290912i | 0.463844 | − | 0.885917i | \(-0.346470\pi\) |
−0.403436 | + | 0.915008i | \(0.632184\pi\) | |||||||
\(548\) | −0.948357 | + | 0.756290i | −0.0405118 | + | 0.0323071i | ||||
\(549\) | 6.17626 | + | 1.83481i | 0.263596 | + | 0.0783076i | ||||
\(550\) | −19.7292 | + | 24.7397i | −0.841257 | + | 1.05490i | ||||
\(551\) | 0.566417 | − | 2.48164i | 0.0241302 | − | 0.105721i | ||||
\(552\) | −7.11369 | − | 1.86640i | −0.302779 | − | 0.0794394i | ||||
\(553\) | 3.44056 | + | 9.14666i | 0.146307 | + | 0.388956i | ||||
\(554\) | 31.0814 | − | 24.7866i | 1.32052 | − | 1.05308i | ||||
\(555\) | 1.18604 | + | 1.00996i | 0.0503448 | + | 0.0428703i | ||||
\(556\) | 2.43133 | + | 0.554936i | 0.103111 | + | 0.0235345i | ||||
\(557\) | 3.04068i | 0.128838i | 0.997923 | + | 0.0644189i | \(0.0205194\pi\) | ||||
−0.997923 | + | 0.0644189i | \(0.979481\pi\) | |||||||
\(558\) | 21.8080 | − | 24.0007i | 0.923208 | − | 1.01603i | ||||
\(559\) | −19.5213 | − | 4.45561i | −0.825664 | − | 0.188452i | ||||
\(560\) | 0.738272 | + | 1.96268i | 0.0311977 | + | 0.0829384i | ||||
\(561\) | −22.1763 | − | 29.7221i | −0.936283 | − | 1.25487i | ||||
\(562\) | −9.24501 | − | 40.5050i | −0.389977 | − | 1.70860i | ||||
\(563\) | −20.1096 | − | 25.2166i | −0.847519 | − | 1.06275i | −0.997256 | − | 0.0740289i | \(-0.976414\pi\) |
0.149738 | − | 0.988726i | \(-0.452157\pi\) | |||||||
\(564\) | 0.170886 | − | 0.327454i | 0.00719560 | − | 0.0137883i | ||||
\(565\) | −0.931063 | + | 0.212509i | −0.0391701 | + | 0.00894032i | ||||
\(566\) | 8.43350 | + | 36.9496i | 0.354487 | + | 1.55311i | ||||
\(567\) | 5.45267 | + | 23.1790i | 0.228991 | + | 0.973429i | ||||
\(568\) | −1.39403 | + | 6.10766i | −0.0584923 | + | 0.256272i | ||||
\(569\) | 5.55379i | 0.232827i | 0.993201 | + | 0.116414i | \(0.0371398\pi\) | ||||
−0.993201 | + | 0.116414i | \(0.962860\pi\) | |||||||
\(570\) | 0.0681452 | + | 0.153994i | 0.00285429 | + | 0.00645012i | ||||
\(571\) | −2.17521 | + | 9.53022i | −0.0910297 | + | 0.398827i | −0.999831 | − | 0.0184028i | \(-0.994142\pi\) |
0.908801 | + | 0.417230i | \(0.136999\pi\) | |||||||
\(572\) | 3.49954 | − | 1.68529i | 0.146323 | − | 0.0704654i | ||||
\(573\) | −29.1244 | − | 15.1989i | −1.21669 | − | 0.634944i | ||||
\(574\) | 5.14727 | − | 5.39164i | 0.214843 | − | 0.225043i | ||||
\(575\) | 6.31585 | + | 5.03672i | 0.263389 | + | 0.210046i | ||||
\(576\) | 11.4607 | + | 16.4388i | 0.477529 | + | 0.684948i | ||||
\(577\) | 13.3944 | + | 10.6817i | 0.557618 | + | 0.444685i | 0.861306 | − | 0.508086i | \(-0.169647\pi\) |
−0.303689 | + | 0.952771i | \(0.598218\pi\) | |||||||
\(578\) | −5.61046 | − | 11.6502i | −0.233365 | − | 0.484586i | ||||
\(579\) | −11.0766 | + | 21.2251i | −0.460328 | + | 0.882086i | ||||
\(580\) | −0.142913 | + | 0.296762i | −0.00593414 | + | 0.0123224i | ||||
\(581\) | −22.8380 | + | 38.2891i | −0.947482 | + | 1.58850i | ||||
\(582\) | −1.09249 | − | 0.930296i | −0.0452854 | − | 0.0385620i | ||||
\(583\) | 36.5964 | + | 17.6239i | 1.51567 | + | 0.729907i | ||||
\(584\) | 4.16515 | + | 18.2487i | 0.172355 | + | 0.755138i | ||||
\(585\) | −0.693489 | − | 1.71420i | −0.0286722 | − | 0.0708733i | ||||
\(586\) | −6.03597 | − | 4.81352i | −0.249344 | − | 0.198845i | ||||
\(587\) | 12.5088 | 0.516293 | 0.258147 | − | 0.966106i | \(-0.416888\pi\) | ||||
0.258147 | + | 0.966106i | \(0.416888\pi\) | |||||||
\(588\) | 1.96477 | − | 2.53672i | 0.0810256 | − | 0.104612i | ||||
\(589\) | 2.61103 | 0.107586 | ||||||||
\(590\) | −3.16759 | − | 2.52607i | −0.130408 | − | 0.103997i | ||||
\(591\) | −24.6058 | − | 0.792221i | −1.01215 | − | 0.0325876i | ||||
\(592\) | −5.02118 | − | 21.9992i | −0.206369 | − | 0.904162i | ||||
\(593\) | 26.6849 | + | 12.8508i | 1.09582 | + | 0.527719i | 0.892341 | − | 0.451361i | \(-0.149061\pi\) |
0.203477 | + | 0.979080i | \(0.434776\pi\) | |||||||
\(594\) | −32.8236 | + | 4.21929i | −1.34677 | + | 0.173120i | ||||
\(595\) | 2.26304 | + | 0.733448i | 0.0927758 | + | 0.0300685i | ||||
\(596\) | −1.88369 | + | 3.91152i | −0.0771588 | + | 0.160222i | ||||
\(597\) | −16.1110 | − | 8.40771i | −0.659378 | − | 0.344105i | ||||
\(598\) | −3.68173 | − | 7.64519i | −0.150557 | − | 0.312635i | ||||
\(599\) | 1.83439 | + | 1.46288i | 0.0749512 | + | 0.0597716i | 0.660249 | − | 0.751047i | \(-0.270451\pi\) |
−0.585298 | + | 0.810819i | \(0.699022\pi\) | |||||||
\(600\) | −4.29313 | − | 22.0594i | −0.175266 | − | 0.900572i | ||||
\(601\) | 12.0292 | + | 9.59294i | 0.490680 | + | 0.391304i | 0.837336 | − | 0.546688i | \(-0.184112\pi\) |
−0.346656 | + | 0.937992i | \(0.612683\pi\) | |||||||
\(602\) | −3.10273 | − | 22.7780i | −0.126458 | − | 0.928362i | ||||
\(603\) | −34.2436 | − | 2.20734i | −1.39451 | − | 0.0898899i | ||||
\(604\) | 0.758230 | − | 0.365144i | 0.0308519 | − | 0.0148575i | ||||
\(605\) | −0.273342 | + | 1.19759i | −0.0111129 | + | 0.0486890i | ||||
\(606\) | −11.1456 | + | 4.93211i | −0.452758 | + | 0.200353i | ||||
\(607\) | − | 35.8603i | − | 1.45553i | −0.685829 | − | 0.727763i | \(-0.740560\pi\) | ||
0.685829 | − | 0.727763i | \(-0.259440\pi\) | |||||||
\(608\) | 0.120327 | − | 0.527189i | 0.00487992 | − | 0.0213803i | ||||
\(609\) | −31.9195 | + | 3.30576i | −1.29344 | + | 0.133956i | ||||
\(610\) | −0.127825 | − | 0.560037i | −0.00517548 | − | 0.0226753i | ||||
\(611\) | −2.72447 | + | 0.621843i | −0.110220 | + | 0.0251571i | ||||
\(612\) | −4.00809 | − | 0.258361i | −0.162018 | − | 0.0104436i | ||||
\(613\) | −7.28431 | − | 9.13424i | −0.294211 | − | 0.368928i | 0.612653 | − | 0.790352i | \(-0.290102\pi\) |
−0.906864 | + | 0.421423i | \(0.861531\pi\) | |||||||
\(614\) | −10.2172 | − | 44.7644i | −0.412332 | − | 1.80654i | ||||
\(615\) | 0.461938 | − | 0.344661i | 0.0186271 | − | 0.0138981i | ||||
\(616\) | −21.1507 | − | 20.1921i | −0.852186 | − | 0.813562i | ||||
\(617\) | −1.44254 | − | 0.329249i | −0.0580743 | − | 0.0132551i | 0.193385 | − | 0.981123i | \(-0.438053\pi\) |
−0.251459 | + | 0.967868i | \(0.580910\pi\) | |||||||
\(618\) | −0.587577 | − | 1.32781i | −0.0236358 | − | 0.0534122i | ||||
\(619\) | 12.3921i | 0.498080i | 0.968493 | + | 0.249040i | \(0.0801151\pi\) | ||||
−0.968493 | + | 0.249040i | \(0.919885\pi\) | |||||||
\(620\) | −0.329395 | − | 0.0751822i | −0.0132288 | − | 0.00301939i | ||||
\(621\) | 1.07715 | + | 8.37962i | 0.0432246 | + | 0.336262i | ||||
\(622\) | 3.52981 | − | 2.81493i | 0.141533 | − | 0.112868i | ||||
\(623\) | 3.55573 | − | 5.96135i | 0.142457 | − | 0.238837i | ||||
\(624\) | −6.79759 | + | 25.9086i | −0.272122 | + | 1.03717i | ||||
\(625\) | −5.45780 | + | 23.9122i | −0.218312 | + | 0.956488i | ||||
\(626\) | −3.11508 | + | 3.90619i | −0.124504 | + | 0.156123i | ||||
\(627\) | −2.02870 | − | 1.72751i | −0.0810186 | − | 0.0689900i | ||||
\(628\) | 3.48688 | − | 2.78070i | 0.139142 | − | 0.110962i | ||||
\(629\) | −23.0643 | − | 11.1072i | −0.919634 | − | 0.442872i | ||||
\(630\) | 1.56171 | − | 1.43809i | 0.0622201 | − | 0.0572948i | ||||
\(631\) | 27.4119 | − | 13.2009i | 1.09125 | − | 0.525518i | 0.200353 | − | 0.979724i | \(-0.435791\pi\) |
0.890897 | + | 0.454206i | \(0.150077\pi\) | |||||||
\(632\) | 4.18516 | − | 8.69058i | 0.166477 | − | 0.345693i | ||||
\(633\) | −37.4268 | + | 27.9249i | −1.48758 | + | 1.10991i | ||||
\(634\) | 1.76433 | + | 0.849655i | 0.0700704 | + | 0.0337441i | ||||
\(635\) | −0.218375 | + | 0.273834i | −0.00866596 | + | 0.0108668i | ||||
\(636\) | 4.02301 | − | 1.78025i | 0.159523 | − | 0.0705915i | ||||
\(637\) | −24.2498 | + | 1.12519i | −0.960813 | + | 0.0445815i | ||||
\(638\) | − | 44.5992i | − | 1.76570i | ||||||
\(639\) | 7.10477 | − | 1.14677i | 0.281060 | − | 0.0453656i | ||||
\(640\) | 1.00464 | − | 2.08616i | 0.0397119 | − | 0.0824626i | ||||
\(641\) | −10.7202 | + | 2.44681i | −0.423422 | + | 0.0966433i | −0.428922 | − | 0.903342i | \(-0.641106\pi\) |
0.00549986 | + | 0.999985i | \(0.498249\pi\) | |||||||
\(642\) | −1.54876 | + | 48.1032i | −0.0611245 | + | 1.89848i | ||||
\(643\) | −4.14728 | − | 8.61191i | −0.163553 | − | 0.339621i | 0.803045 | − | 0.595918i | \(-0.203212\pi\) |
−0.966598 | + | 0.256297i | \(0.917497\pi\) | |||||||
\(644\) | 0.786120 | − | 0.823442i | 0.0309775 | − | 0.0324482i | ||||
\(645\) | 0.0571978 | − | 1.77652i | 0.00225216 | − | 0.0699504i | ||||
\(646\) | −1.72540 | − | 2.16358i | −0.0678848 | − | 0.0851249i | ||||
\(647\) | 19.6999 | − | 9.48698i | 0.774484 | − | 0.372972i | −0.00452109 | − | 0.999990i | \(-0.501439\pi\) |
0.779005 | + | 0.627018i | \(0.215725\pi\) | |||||||
\(648\) | 12.8321 | − | 19.6914i | 0.504091 | − | 0.773550i | ||||
\(649\) | 62.4995 | + | 14.2651i | 2.45332 | + | 0.559955i | ||||
\(650\) | 16.1668 | − | 20.2725i | 0.634114 | − | 0.795154i | ||||
\(651\) | −10.5916 | − | 31.1663i | −0.415119 | − | 1.22150i | ||||
\(652\) | 1.02604 | + | 1.28661i | 0.0401828 | + | 0.0503877i | ||||
\(653\) | 4.23152 | + | 8.78685i | 0.165592 | + | 0.343856i | 0.967209 | − | 0.253983i | \(-0.0817406\pi\) |
−0.801616 | + | 0.597839i | \(0.796026\pi\) | |||||||
\(654\) | 5.21459 | + | 26.7941i | 0.203907 | + | 1.04773i | ||||
\(655\) | −1.91159 | −0.0746922 | ||||||||
\(656\) | −8.34854 | −0.325956 | ||||||||
\(657\) | 17.6391 | − | 12.2975i | 0.688165 | − | 0.479772i | ||||
\(658\) | −1.76946 | − | 2.67628i | −0.0689806 | − | 0.104332i | ||||
\(659\) | 30.2466 | − | 6.90359i | 1.17824 | − | 0.268926i | 0.411820 | − | 0.911265i | \(-0.364893\pi\) |
0.766420 | + | 0.642339i | \(0.222036\pi\) | |||||||
\(660\) | 0.206189 | + | 0.276349i | 0.00802591 | + | 0.0107569i | ||||
\(661\) | 25.2895 | − | 20.1677i | 0.983648 | − | 0.784433i | 0.00715316 | − | 0.999974i | \(-0.497723\pi\) |
0.976495 | + | 0.215541i | \(0.0691516\pi\) | |||||||
\(662\) | −7.48359 | + | 5.96797i | −0.290858 | + | 0.231952i | ||||
\(663\) | 18.1720 | + | 24.3553i | 0.705741 | + | 0.945883i | ||||
\(664\) | 42.9022 | − | 9.79216i | 1.66493 | − | 0.380009i | ||||
\(665\) | 0.170257 | + | 0.0151958i | 0.00660227 | + | 0.000589268i | ||||
\(666\) | −18.7403 | + | 13.0653i | −0.726172 | + | 0.506269i | ||||
\(667\) | −11.3858 | −0.440861 | ||||||||
\(668\) | 3.10219 | 0.120027 | ||||||||
\(669\) | −6.63345 | − | 34.0847i | −0.256464 | − | 1.31779i | ||||
\(670\) | 1.32742 | + | 2.75641i | 0.0512826 | + | 0.106489i | ||||
\(671\) | 5.66712 | + | 7.10634i | 0.218777 | + | 0.274337i | ||||
\(672\) | −6.78085 | + | 0.702262i | −0.261577 | + | 0.0270904i | ||||
\(673\) | −12.2567 | + | 15.3694i | −0.472461 | + | 0.592447i | −0.959772 | − | 0.280781i | \(-0.909406\pi\) |
0.487311 | + | 0.873229i | \(0.337978\pi\) | |||||||
\(674\) | −34.7609 | − | 7.93394i | −1.33894 | − | 0.305604i | ||||
\(675\) | −21.6420 | + | 14.0755i | −0.833002 | + | 0.541767i | ||||
\(676\) | 0.232010 | − | 0.111730i | 0.00892347 | − | 0.00429732i | ||||
\(677\) | 26.3303 | + | 33.0172i | 1.01196 | + | 1.26895i | 0.962815 | + | 0.270162i | \(0.0870774\pi\) |
0.0491424 | + | 0.998792i | \(0.484351\pi\) | |||||||
\(678\) | 0.450687 | − | 13.9980i | 0.0173085 | − | 0.537590i | ||||
\(679\) | −1.36326 | + | 0.512798i | −0.0523172 | + | 0.0196794i | ||||
\(680\) | −1.01881 | − | 2.11559i | −0.0390698 | − | 0.0811292i | ||||
\(681\) | −0.663984 | + | 20.6228i | −0.0254439 | + | 0.790269i | ||||
\(682\) | 44.6011 | − | 10.1799i | 1.70786 | − | 0.389809i | ||||
\(683\) | −1.23063 | + | 2.55544i | −0.0470889 | + | 0.0977810i | −0.923186 | − | 0.384354i | \(-0.874424\pi\) |
0.876097 | + | 0.482135i | \(0.160139\pi\) | |||||||
\(684\) | −0.284904 | + | 0.0459860i | −0.0108936 | + | 0.00175832i | ||||
\(685\) | 0.814657i | 0.0311265i | ||||||||
\(686\) | −11.0110 | − | 25.6033i | −0.420401 | − | 0.977540i | ||||
\(687\) | −2.95437 | + | 1.30736i | −0.112716 | + | 0.0498788i | ||||
\(688\) | −16.0528 | + | 20.1295i | −0.612006 | + | 0.767431i | ||||
\(689\) | −29.9883 | − | 14.4416i | −1.14246 | − | 0.550181i | ||||
\(690\) | 0.603720 | − | 0.450447i | 0.0229832 | − | 0.0171482i | ||||
\(691\) | −1.13443 | + | 2.35567i | −0.0431558 | + | 0.0896139i | −0.921432 | − | 0.388540i | \(-0.872980\pi\) |
0.878276 | + | 0.478154i | \(0.158694\pi\) | |||||||
\(692\) | 1.59494 | − | 0.768081i | 0.0606304 | − | 0.0291981i | ||||
\(693\) | −12.3908 | + | 31.2231i | −0.470689 | + | 1.18607i | ||||
\(694\) | 19.4537 | + | 9.36839i | 0.738451 | + | 0.355619i | ||||
\(695\) | 1.30949 | − | 1.04428i | 0.0496717 | − | 0.0396118i | ||||
\(696\) | 24.1159 | + | 20.5355i | 0.914112 | + | 0.778398i | ||||
\(697\) | −5.90521 | + | 7.40491i | −0.223676 | + | 0.280481i | ||||
\(698\) | −9.89925 | + | 43.3714i | −0.374692 | + | 1.64163i | ||||
\(699\) | 10.5944 | − | 40.3801i | 0.400718 | − | 1.52731i | ||||
\(700\) | 3.30931 | + | 1.07254i | 0.125080 | + | 0.0405382i | ||||
\(701\) | 9.09569 | − | 7.25357i | 0.343540 | − | 0.273964i | −0.436486 | − | 0.899711i | \(-0.643777\pi\) |
0.780026 | + | 0.625747i | \(0.215206\pi\) | |||||||
\(702\) | 26.8968 | − | 3.45743i | 1.01515 | − | 0.130492i | ||||
\(703\) | −1.79328 | − | 0.409304i | −0.0676348 | − | 0.0154372i | ||||
\(704\) | 28.2702i | 1.06547i | ||||||||
\(705\) | −0.100384 | − | 0.226848i | −0.00378068 | − | 0.00854359i | ||||
\(706\) | 17.5936 | + | 4.01563i | 0.662145 | + | 0.151130i | ||||
\(707\) | −1.09982 | + | 12.3226i | −0.0413629 | + | 0.463438i | ||||
\(708\) | 5.56492 | − | 4.15210i | 0.209143 | − | 0.156045i | ||||
\(709\) | 2.37107 | + | 10.3883i | 0.0890475 | + | 0.390143i | 0.999737 | − | 0.0229498i | \(-0.00730578\pi\) |
−0.910689 | + | 0.413092i | \(0.864449\pi\) | |||||||
\(710\) | −0.400054 | − | 0.501651i | −0.0150137 | − | 0.0188266i | ||||
\(711\) | −11.0579 | − | 0.712788i | −0.414702 | − | 0.0267316i | ||||
\(712\) | −6.67959 | + | 1.52457i | −0.250328 | + | 0.0571358i | ||||
\(713\) | −2.59885 | − | 11.3863i | −0.0973277 | − | 0.426420i | ||||
\(714\) | −18.8263 | + | 29.3716i | −0.704557 | + | 1.09920i | ||||
\(715\) | 0.580481 | − | 2.54325i | 0.0217087 | − | 0.0951122i | ||||
\(716\) | − | 0.330607i | − | 0.0123553i | ||||||
\(717\) | 25.6491 | − | 11.3502i | 0.957883 | − | 0.423879i | ||||
\(718\) | −2.09230 | + | 9.16698i | −0.0780841 | + | 0.342109i | ||||
\(719\) | −0.857003 | + | 0.412711i | −0.0319608 | + | 0.0153915i | −0.449796 | − | 0.893131i | \(-0.648503\pi\) |
0.417835 | + | 0.908523i | \(0.362789\pi\) | |||||||
\(720\) | −2.37278 | − | 0.152949i | −0.0884284 | − | 0.00570009i | ||||
\(721\) | −1.46803 | − | 0.131025i | −0.0546721 | − | 0.00487961i | ||||
\(722\) | 22.1991 | + | 17.7032i | 0.826166 | + | 0.658845i | ||||
\(723\) | 3.34335 | + | 17.1791i | 0.124340 | + | 0.638899i | ||||
\(724\) | 4.72269 | + | 3.76622i | 0.175517 | + | 0.139970i | ||||
\(725\) | −15.0957 | − | 31.3466i | −0.560641 | − | 1.16418i | ||||
\(726\) | −15.9705 | − | 8.33442i | −0.592722 | − | 0.309319i | ||||
\(727\) | −4.62758 | + | 9.60927i | −0.171627 | + | 0.356388i | −0.968985 | − | 0.247119i | \(-0.920516\pi\) |
0.797358 | + | 0.603507i | \(0.206230\pi\) | |||||||
\(728\) | 17.3316 | + | 16.5461i | 0.642352 | + | 0.613238i | ||||
\(729\) | −26.4981 | − | 5.18169i | −0.981412 | − | 0.191914i | ||||
\(730\) | −1.72726 | − | 0.831802i | −0.0639286 | − | 0.0307864i | ||||
\(731\) | 6.49961 | + | 28.4766i | 0.240397 | + | 1.05325i | ||||
\(732\) | 0.983930 | + | 0.0316791i | 0.0363671 | + | 0.00117089i | ||||
\(733\) | −23.7150 | − | 18.9121i | −0.875933 | − | 0.698533i | 0.0785146 | − | 0.996913i | \(-0.474982\pi\) |
−0.954447 | + | 0.298380i | \(0.903554\pi\) | |||||||
\(734\) | −28.0961 | −1.03705 | ||||||||
\(735\) | −0.509262 | − | 2.09390i | −0.0187844 | − | 0.0772345i | ||||
\(736\) | −2.41876 | −0.0891566 | ||||||||
\(737\) | −37.8474 | − | 30.1823i | −1.39413 | − | 1.11178i | ||||
\(738\) | 3.16982 | + | 7.83530i | 0.116683 | + | 0.288422i | ||||
\(739\) | 5.67478 | + | 24.8628i | 0.208750 | + | 0.914594i | 0.965400 | + | 0.260773i | \(0.0839776\pi\) |
−0.756650 | + | 0.653820i | \(0.773165\pi\) | |||||||
\(740\) | 0.214446 | + | 0.103272i | 0.00788319 | + | 0.00379634i | ||||
\(741\) | 1.66239 | + | 1.41558i | 0.0610693 | + | 0.0520026i | ||||
\(742\) | 3.39711 | − | 38.0619i | 0.124712 | − | 1.39730i | ||||
\(743\) | 5.39981 | − | 11.2128i | 0.198100 | − | 0.411359i | −0.778128 | − | 0.628106i | \(-0.783830\pi\) |
0.976228 | + | 0.216747i | \(0.0695448\pi\) | |||||||
\(744\) | −15.0319 | + | 28.8043i | −0.551095 | + | 1.05602i | ||||
\(745\) | 1.26510 | + | 2.62701i | 0.0463497 | + | 0.0962461i | ||||
\(746\) | 24.7221 | + | 19.7152i | 0.905139 | + | 0.721824i | ||||
\(747\) | −28.9111 | − | 41.4689i | −1.05780 | − | 1.51727i | ||||
\(748\) | −4.42990 | − | 3.53273i | −0.161973 | − | 0.129169i | ||||
\(749\) | 41.9560 | + | 25.0253i | 1.53304 | + | 0.914403i | ||||
\(750\) | 4.09412 | + | 2.13657i | 0.149496 | + | 0.0780164i | ||||
\(751\) | −18.5207 | + | 8.91912i | −0.675831 | + | 0.325463i | −0.740126 | − | 0.672468i | \(-0.765234\pi\) |
0.0642952 | + | 0.997931i | \(0.479520\pi\) | |||||||
\(752\) | −0.799585 | + | 3.50321i | −0.0291579 | + | 0.127749i | ||||
\(753\) | 2.28925 | + | 5.17325i | 0.0834250 | + | 0.188524i | ||||
\(754\) | 36.5461i | 1.33093i | ||||||||
\(755\) | 0.125770 | − | 0.551036i | 0.00457725 | − | 0.0200542i | ||||
\(756\) | 1.70462 | + | 3.21419i | 0.0619964 | + | 0.116899i | ||||
\(757\) | 8.73564 | + | 38.2733i | 0.317502 | + | 1.39107i | 0.841918 | + | 0.539606i | \(0.181427\pi\) |
−0.524416 | + | 0.851462i | \(0.675716\pi\) | |||||||
\(758\) | 9.41819 | − | 2.14964i | 0.342084 | − | 0.0780785i | ||||
\(759\) | −5.51417 | + | 10.5663i | −0.200152 | + | 0.383533i | ||||
\(760\) | −0.105195 | − | 0.131911i | −0.00381583 | − | 0.00478490i | ||||
\(761\) | 7.19302 | + | 31.5147i | 0.260747 | + | 1.14241i | 0.920444 | + | 0.390875i | \(0.127827\pi\) |
−0.659697 | + | 0.751532i | \(0.729315\pi\) | |||||||
\(762\) | −3.07161 | − | 4.11678i | −0.111273 | − | 0.149135i | ||||
\(763\) | 26.3580 | + | 8.54257i | 0.954223 | + | 0.309262i | ||||
\(764\) | −4.89361 | − | 1.11693i | −0.177045 | − | 0.0404093i | ||||
\(765\) | −1.81401 | + | 1.99640i | −0.0655858 | + | 0.0721800i | ||||
\(766\) | 39.5463i | 1.42887i | ||||||||
\(767\) | −51.2142 | − | 11.6893i | −1.84924 | − | 0.422077i | ||||
\(768\) | 8.23555 | + | 7.01285i | 0.297175 | + | 0.253054i | ||||
\(769\) | −12.1143 | + | 9.66084i | −0.436853 | + | 0.348379i | −0.817090 | − | 0.576511i | \(-0.804414\pi\) |
0.380237 | + | 0.924889i | \(0.375843\pi\) | |||||||
\(770\) | 2.96754 | − | 0.404226i | 0.106943 | − | 0.0145673i | ||||
\(771\) | −16.6664 | − | 4.37274i | −0.600227 | − | 0.157480i | ||||
\(772\) | −0.813995 | + | 3.56634i | −0.0292963 | + | 0.128356i | ||||
\(773\) | 23.8648 | − | 29.9255i | 0.858358 | − | 1.07635i | −0.137945 | − | 0.990440i | \(-0.544050\pi\) |
0.996303 | − | 0.0859069i | \(-0.0273788\pi\) | |||||||
\(774\) | 24.9871 | + | 7.42301i | 0.898141 | + | 0.266814i | ||||
\(775\) | 27.9023 | − | 22.2513i | 1.00228 | − | 0.799291i | ||||
\(776\) | 1.29529 | + | 0.623777i | 0.0464981 | + | 0.0223923i | ||||
\(777\) | 2.38881 | + | 23.0657i | 0.0856980 | + | 0.827476i | ||||
\(778\) | −9.20331 | + | 4.43208i | −0.329955 | + | 0.158898i | ||||
\(779\) | −0.295274 | + | 0.613142i | −0.0105793 | + | 0.0219681i | ||||
\(780\) | −0.168958 | − | 0.226450i | −0.00604968 | − | 0.00810820i | ||||
\(781\) | 9.14717 | + | 4.40505i | 0.327312 | + | 0.157625i | ||||
\(782\) | −7.71769 | + | 9.67768i | −0.275984 | + | 0.346073i | ||||
\(783\) | 11.4791 | − | 34.5288i | 0.410230 | − | 1.23396i | ||||
\(784\) | −12.2255 | + | 28.7210i | −0.436625 | + | 1.02575i | ||||
\(785\) | − | 2.99530i | − | 0.106907i | ||||||
\(786\) | 7.11436 | − | 27.1159i | 0.253761 | − | 0.967194i | ||||
\(787\) | 3.49333 | − | 7.25397i | 0.124524 | − | 0.258576i | −0.829382 | − | 0.558681i | \(-0.811308\pi\) |
0.953906 | + | 0.300105i | \(0.0970218\pi\) | |||||||
\(788\) | −3.66719 | + | 0.837013i | −0.130638 | + | 0.0298173i | ||||
\(789\) | −0.535434 | − | 0.0172391i | −0.0190619 | − | 0.000613729i | ||||
\(790\) | 0.428646 | + | 0.890092i | 0.0152505 | + | 0.0316681i | ||||
\(791\) | −12.2092 | − | 7.28234i | −0.434109 | − | 0.258930i | ||||
\(792\) | 30.7369 | − | 12.4348i | 1.09219 | − | 0.441851i | ||||
\(793\) | −4.64383 | − | 5.82318i | −0.164907 | − | 0.206787i | ||||
\(794\) | 30.0333 | − | 14.4633i | 1.06584 | − | 0.513283i | ||||
\(795\) | 0.749818 | − | 2.85789i | 0.0265933 | − | 0.101359i | ||||
\(796\) | −2.70704 | − | 0.617864i | −0.0959484 | − | 0.0218996i | ||||
\(797\) | 13.8540 | − | 17.3723i | 0.490732 | − | 0.615359i | −0.473379 | − | 0.880859i | \(-0.656966\pi\) |
0.964111 | + | 0.265500i | \(0.0855371\pi\) | |||||||
\(798\) | −0.849195 | + | 2.35853i | −0.0300612 | + | 0.0834912i | ||||
\(799\) | 2.54167 | + | 3.18715i | 0.0899177 | + | 0.112753i | ||||
\(800\) | −3.20688 | − | 6.65915i | −0.113380 | − | 0.235436i | ||||
\(801\) | 4.50127 | + | 6.45644i | 0.159044 | + | 0.228127i | ||||
\(802\) | 36.6659 | 1.29472 | ||||||||
\(803\) | 30.3344 | 1.07048 | ||||||||
\(804\) | −5.14643 | + | 1.00158i | −0.181501 | + | 0.0353231i | ||||
\(805\) | −0.103196 | − | 0.757588i | −0.00363718 | − | 0.0267015i | ||||
\(806\) | −36.5476 | + | 8.34176i | −1.28734 | + | 0.293826i | ||||
\(807\) | −33.7066 | + | 25.1491i | −1.18653 | + | 0.885291i | ||||
\(808\) | 9.54723 | − | 7.61366i | 0.335870 | − | 0.267848i | ||||
\(809\) | −32.1624 | + | 25.6487i | −1.13077 | + | 0.901759i | −0.996021 | − | 0.0891209i | \(-0.971594\pi\) |
−0.134749 | + | 0.990880i | \(0.543023\pi\) | |||||||
\(810\) | 0.757365 | + | 2.28499i | 0.0266111 | + | 0.0802862i | ||||
\(811\) | −40.6757 | + | 9.28397i | −1.42832 | + | 0.326004i | −0.865638 | − | 0.500670i | \(-0.833087\pi\) |
−0.562680 | + | 0.826674i | \(0.690230\pi\) | |||||||
\(812\) | −4.58918 | + | 1.72624i | −0.161049 | + | 0.0605792i | ||||
\(813\) | −6.61797 | − | 34.0051i | −0.232102 | − | 1.19261i | ||||
\(814\) | −32.2282 | −1.12960 | ||||||||
\(815\) | 1.10523 | 0.0387144 | ||||||||
\(816\) | 38.3537 | − | 7.46427i | 1.34265 | − | 0.261302i | ||||
\(817\) | 0.910614 | + | 1.89091i | 0.0318584 | + | 0.0661546i | ||||
\(818\) | 11.9788 | + | 15.0209i | 0.418828 | + | 0.525194i | ||||
\(819\) | 10.1535 | − | 25.5852i | 0.354791 | − | 0.894021i | ||||
\(820\) | 0.0549052 | − | 0.0688489i | 0.00191737 | − | 0.00240431i | ||||
\(821\) | 5.69853 | + | 1.30065i | 0.198880 | + | 0.0453931i | 0.320800 | − | 0.947147i | \(-0.396048\pi\) |
−0.121920 | + | 0.992540i | \(0.538905\pi\) | |||||||
\(822\) | −11.5559 | − | 3.03190i | −0.403059 | − | 0.105750i | ||||
\(823\) | 17.7011 | − | 8.52440i | 0.617021 | − | 0.297142i | −0.0991433 | − | 0.995073i | \(-0.531610\pi\) |
0.716165 | + | 0.697931i | \(0.245896\pi\) | |||||||
\(824\) | 0.907038 | + | 1.13739i | 0.0315982 | + | 0.0396229i | ||||
\(825\) | −36.4013 | − | 1.17200i | −1.26733 | − | 0.0408036i | ||||
\(826\) | −8.14003 | − | 59.7582i | −0.283228 | − | 2.07925i | ||||
\(827\) | −4.62489 | − | 9.60368i | −0.160823 | − | 0.333953i | 0.804949 | − | 0.593344i | \(-0.202192\pi\) |
−0.965772 | + | 0.259391i | \(0.916478\pi\) | |||||||
\(828\) | 0.484113 | + | 1.19665i | 0.0168241 | + | 0.0415865i | ||||
\(829\) | −32.6498 | + | 7.45211i | −1.13397 | + | 0.258822i | −0.748008 | − | 0.663690i | \(-0.768989\pi\) |
−0.385967 | + | 0.922513i | \(0.626132\pi\) | |||||||
\(830\) | −1.95554 | + | 4.06073i | −0.0678779 | + | 0.140950i | ||||
\(831\) | 44.2580 | + | 11.6119i | 1.53529 | + | 0.402812i | ||||
\(832\) | − | 23.1655i | − | 0.803121i | ||||||
\(833\) | 16.8272 | + | 31.1590i | 0.583027 | + | 1.07960i | ||||
\(834\) | 9.93962 | + | 22.4616i | 0.344181 | + | 0.777780i | ||||
\(835\) | 1.29901 | − | 1.62891i | 0.0449542 | − | 0.0563707i | ||||
\(836\) | −0.366805 | − | 0.176644i | −0.0126862 | − | 0.00610936i | ||||
\(837\) | 37.1504 | + | 3.59829i | 1.28411 | + | 0.124375i | ||||
\(838\) | 21.1280 | − | 43.8727i | 0.729855 | − | 1.51556i | ||||
\(839\) | 15.9536 | − | 7.68287i | 0.550781 | − | 0.265242i | −0.137728 | − | 0.990470i | \(-0.543980\pi\) |
0.688509 | + | 0.725228i | \(0.258266\pi\) | |||||||
\(840\) | −1.14782 | + | 1.79075i | −0.0396034 | + | 0.0617867i | ||||
\(841\) | 18.0530 | + | 8.69385i | 0.622516 | + | 0.299788i | ||||
\(842\) | −15.0535 | + | 12.0048i | −0.518778 | + | 0.413711i | ||||
\(843\) | 31.0021 | − | 36.4073i | 1.06777 | − | 1.25394i | ||||
\(844\) | −4.44849 | + | 5.57823i | −0.153123 | + | 0.192011i | ||||
\(845\) | 0.0384844 | − | 0.168611i | 0.00132390 | − | 0.00580040i | ||||
\(846\) | 3.59144 | − | 0.579690i | 0.123476 | − | 0.0199301i | ||||
\(847\) | −15.2532 | + | 10.0848i | −0.524106 | + | 0.346519i | ||||
\(848\) | −33.4610 | + | 26.6843i | −1.14906 | + | 0.916342i | ||||
\(849\) | −28.2808 | + | 33.2116i | −0.970594 | + | 1.13982i | ||||
\(850\) | −36.8763 | − | 8.41677i | −1.26485 | − | 0.288693i | ||||
\(851\) | 8.22762i | 0.282039i | ||||||||
\(852\) | 1.00554 | − | 0.444969i | 0.0344493 | − | 0.0152444i | ||||
\(853\) | −11.7104 | − | 2.67282i | −0.400956 | − | 0.0915156i | 0.0172873 | − | 0.999851i | \(-0.494497\pi\) |
−0.418244 | + | 0.908335i | \(0.637354\pi\) | |||||||
\(854\) | 4.38036 | − | 7.34387i | 0.149893 | − | 0.251302i | ||||
\(855\) | −0.0951543 | + | 0.168855i | −0.00325421 | + | 0.00577471i | ||||
\(856\) | −10.7300 | − | 47.0110i | −0.366742 | − | 1.60680i | ||||
\(857\) | −23.3554 | − | 29.2868i | −0.797807 | − | 1.00042i | −0.999779 | − | 0.0210267i | \(-0.993306\pi\) |
0.201972 | − | 0.979391i | \(-0.435265\pi\) | |||||||
\(858\) | 33.9156 | + | 17.6993i | 1.15786 | + | 0.604244i | ||||
\(859\) | −33.0900 | + | 7.55257i | −1.12902 | + | 0.257690i | −0.745931 | − | 0.666023i | \(-0.767995\pi\) |
−0.383084 | + | 0.923713i | \(0.625138\pi\) | |||||||
\(860\) | −0.0604317 | − | 0.264769i | −0.00206070 | − | 0.00902853i | ||||
\(861\) | 8.51650 | + | 1.03730i | 0.290241 | + | 0.0353511i | ||||
\(862\) | 4.52012 | − | 19.8039i | 0.153956 | − | 0.674525i | ||||
\(863\) | 8.59074i | 0.292432i | 0.989253 | + | 0.146216i | \(0.0467095\pi\) | ||||
−0.989253 | + | 0.146216i | \(0.953291\pi\) | |||||||
\(864\) | 2.43858 | − | 7.33516i | 0.0829621 | − | 0.249547i | ||||
\(865\) | 0.264558 | − | 1.15910i | 0.00899524 | − | 0.0394107i | ||||
\(866\) | 4.64864 | − | 2.23867i | 0.157967 | − | 0.0760730i | ||||
\(867\) | 6.88558 | − | 13.1942i | 0.233847 | − | 0.448100i | ||||
\(868\) | −2.77381 | − | 4.19536i | −0.0941492 | − | 0.142400i | ||||
\(869\) | −12.2216 | − | 9.74637i | −0.414588 | − | 0.330623i | ||||
\(870\) | −3.18439 | + | 0.619736i | −0.107961 | + | 0.0210110i | ||||
\(871\) | 31.0134 | + | 24.7324i | 1.05085 | + | 0.838025i | ||||
\(872\) | −11.8663 | − | 24.6406i | −0.401843 | − | 0.834435i | ||||
\(873\) | 0.106237 | − | 1.64812i | 0.00359559 | − | 0.0557803i | ||||
\(874\) | −0.385902 | + | 0.801333i | −0.0130533 | + | 0.0271055i | ||||
\(875\) | 3.91022 | − | 2.58529i | 0.132190 | − | 0.0873988i | ||||
\(876\) | 2.13003 | − | 2.50140i | 0.0719669 | − | 0.0845144i | ||||
\(877\) | −19.7356 | − | 9.50416i | −0.666423 | − | 0.320933i | 0.0699082 | − | 0.997553i | \(-0.477729\pi\) |
−0.736332 | + | 0.676621i | \(0.763444\pi\) | |||||||
\(878\) | −3.56723 | − | 15.6291i | −0.120388 | − | 0.527455i | ||||
\(879\) | 0.285943 | − | 8.88116i | 0.00964460 | − | 0.299554i | ||||
\(880\) | −2.62249 | − | 2.09137i | −0.0884042 | − | 0.0705000i | ||||
\(881\) | −2.80369 | −0.0944588 | −0.0472294 | − | 0.998884i | \(-0.515039\pi\) | ||||
−0.0472294 | + | 0.998884i | \(0.515039\pi\) | |||||||
\(882\) | 31.5972 | + | 0.568948i | 1.06393 | + | 0.0191575i | ||||
\(883\) | 20.0675 | 0.675326 | 0.337663 | − | 0.941267i | \(-0.390364\pi\) | ||||
0.337663 | + | 0.941267i | \(0.390364\pi\) | |||||||
\(884\) | 3.63001 | + | 2.89483i | 0.122090 | + | 0.0973638i | ||||
\(885\) | 0.150059 | − | 4.66071i | 0.00504417 | − | 0.156668i | ||||
\(886\) | −13.4162 | − | 58.7802i | −0.450726 | − | 1.97476i | ||||
\(887\) | −43.0660 | − | 20.7395i | −1.44601 | − | 0.696363i | −0.464116 | − | 0.885775i | \(-0.653628\pi\) |
−0.981898 | + | 0.189411i | \(0.939342\pi\) | |||||||
\(888\) | 14.8394 | − | 17.4267i | 0.497977 | − | 0.584800i | ||||
\(889\) | −5.16601 | + | 0.703694i | −0.173262 | + | 0.0236012i | ||||
\(890\) | 0.304465 | − | 0.632228i | 0.0102057 | − | 0.0211923i | ||||
\(891\) | −26.4842 | − | 27.3752i | −0.887254 | − | 0.917105i | ||||
\(892\) | −2.30199 | − | 4.78014i | −0.0770764 | − | 0.160051i | ||||
\(893\) | 0.229006 | + | 0.182626i | 0.00766340 | + | 0.00611136i | ||||
\(894\) | −41.9724 | + | 8.16853i | −1.40377 | + | 0.273197i | ||||
\(895\) | −0.173596 | − | 0.138439i | −0.00580269 | − | 0.00462749i | ||||
\(896\) | 32.2607 | − | 12.1350i | 1.07776 | − | 0.405403i | ||||
\(897\) | 4.51849 | − | 8.65840i | 0.150868 | − | 0.289096i | ||||
\(898\) | 2.02818 | − | 0.976719i | 0.0676812 | − | 0.0325935i | ||||
\(899\) | −11.1929 | + | 49.0394i | −0.373305 | + | 1.63555i | ||||
\(900\) | −2.65268 | + | 2.91939i | −0.0884226 | + | 0.0973129i | ||||
\(901\) | 48.5537i | 1.61756i | ||||||||
\(902\) | −2.65328 | + | 11.6248i | −0.0883446 | + | 0.387063i | ||||
\(903\) | 18.8768 | − | 18.5399i | 0.628180 | − | 0.616971i | ||||
\(904\) | 3.12241 | + | 13.6802i | 0.103850 | + | 0.454996i | ||||
\(905\) | 3.95517 | − | 0.902742i | 0.131474 | − | 0.0300081i | ||||
\(906\) | 7.34836 | + | 3.83484i | 0.244133 | + | 0.127404i | ||||
\(907\) | 0.683679 | + | 0.857307i | 0.0227012 | + | 0.0284664i | 0.793053 | − | 0.609153i | \(-0.208491\pi\) |
−0.770351 | + | 0.637620i | \(0.779919\pi\) | |||||||
\(908\) | 0.701525 | + | 3.07358i | 0.0232809 | + | 0.102000i | ||||
\(909\) | −12.2211 | − | 6.88694i | −0.405349 | − | 0.228425i | ||||
\(910\) | −2.43170 | + | 0.331237i | −0.0806100 | + | 0.0109804i | ||||
\(911\) | 55.1754 | + | 12.5934i | 1.82804 | + | 0.417238i | 0.991439 | − | 0.130572i | \(-0.0416814\pi\) |
0.836602 | + | 0.547811i | \(0.184539\pi\) | |||||||
\(912\) | 2.56739 | − | 1.13611i | 0.0850147 | − | 0.0376204i | ||||
\(913\) | − | 71.3152i | − | 2.36019i | ||||||
\(914\) | −27.3142 | − | 6.23429i | −0.903474 | − | 0.206212i | ||||
\(915\) | 0.428646 | − | 0.503381i | 0.0141706 | − | 0.0166413i | ||||
\(916\) | −0.385931 | + | 0.307769i | −0.0127515 | + | 0.0101690i | ||||
\(917\) | −20.5822 | − | 19.6494i | −0.679685 | − | 0.648879i | ||||
\(918\) | −21.5677 | − | 33.1618i | −0.711841 | − | 1.09450i | ||||
\(919\) | 0.466970 | − | 2.04593i | 0.0154039 | − | 0.0674890i | −0.966642 | − | 0.256132i | \(-0.917552\pi\) |
0.982046 | + | 0.188643i | \(0.0604089\pi\) | |||||||
\(920\) | −0.470538 | + | 0.590036i | −0.0155132 | + | 0.0194529i | ||||
\(921\) | 34.2621 | − | 40.2358i | 1.12898 | − | 1.32581i | ||||
\(922\) | −41.4903 | + | 33.0874i | −1.36641 | + | 1.08968i | ||||
\(923\) | −7.49550 | − | 3.60964i | −0.246718 | − | 0.118813i | ||||
\(924\) | −0.620552 | + | 5.09489i | −0.0204147 | + | 0.167610i | ||||
\(925\) | −22.6517 | + | 10.9085i | −0.744782 | + | 0.358668i | ||||
\(926\) | 22.6097 | − | 46.9496i | 0.743002 | − | 1.54286i | ||||
\(927\) | 0.820461 | − | 1.45594i | 0.0269475 | − | 0.0478193i | ||||
\(928\) | 9.38565 | + | 4.51989i | 0.308099 | + | 0.148373i | ||||
\(929\) | 3.76158 | − | 4.71687i | 0.123413 | − | 0.154755i | −0.716286 | − | 0.697806i | \(-0.754160\pi\) |
0.839700 | + | 0.543051i | \(0.182731\pi\) | |||||||
\(930\) | −1.34661 | − | 3.04307i | −0.0441571 | − | 0.0997862i | ||||
\(931\) | 1.67696 | + | 1.91369i | 0.0549603 | + | 0.0627187i | ||||
\(932\) | − | 6.37854i | − | 0.208936i | ||||||
\(933\) | 5.02624 | + | 1.31873i | 0.164552 | + | 0.0431731i | ||||
\(934\) | 10.8913 | − | 22.6160i | 0.356375 | − | 0.740019i | ||||
\(935\) | −3.70996 | + | 0.846774i | −0.121329 | + | 0.0276925i | ||||
\(936\) | −25.1868 | + | 10.1895i | −0.823257 | + | 0.333054i | ||||
\(937\) | −13.3706 | − | 27.7644i | −0.436800 | − | 0.907024i | −0.996906 | − | 0.0786033i | \(-0.974954\pi\) |
0.560106 | − | 0.828421i | \(-0.310760\pi\) | |||||||
\(938\) | −14.0409 | + | 43.3230i | −0.458452 | + | 1.41455i | ||||
\(939\) | −5.74746 | − | 0.185048i | −0.187561 | − | 0.00603882i | ||||
\(940\) | −0.0236318 | − | 0.0296333i | −0.000770783 | − | 0.000966532i | ||||
\(941\) | −2.05944 | + | 0.991772i | −0.0671357 | + | 0.0323309i | −0.467150 | − | 0.884178i | \(-0.654719\pi\) |
0.400015 | + | 0.916509i | \(0.369005\pi\) | |||||||
\(942\) | 42.4883 | + | 11.1476i | 1.38434 | + | 0.363208i | ||||
\(943\) | 2.96772 | + | 0.677362i | 0.0966422 | + | 0.0220579i | ||||
\(944\) | −42.1145 | + | 52.8099i | −1.37071 | + | 1.71882i | ||||
\(945\) | 2.40151 | + | 0.450843i | 0.0781213 | + | 0.0146659i | ||||
\(946\) | 22.9272 | + | 28.7498i | 0.745429 | + | 0.934738i | ||||
\(947\) | −3.95600 | − | 8.21471i | −0.128553 | − | 0.266942i | 0.826751 | − | 0.562567i | \(-0.190186\pi\) |
−0.955304 | + | 0.295625i | \(0.904472\pi\) | |||||||
\(948\) | −1.66187 | + | 0.323428i | −0.0539751 | + | 0.0105045i | ||||
\(949\) | −24.8570 | −0.806893 | ||||||||
\(950\) | −2.71781 | −0.0881775 | ||||||||
\(951\) | 0.430564 | + | 2.21237i | 0.0139620 | + | 0.0717410i | ||||
\(952\) | 10.7766 | − | 33.2511i | 0.349272 | − | 1.07767i | ||||
\(953\) | 34.5959 | − | 7.89629i | 1.12067 | − | 0.255786i | 0.378240 | − | 0.925708i | \(-0.376529\pi\) |
0.742432 | + | 0.669922i | \(0.233672\pi\) | |||||||
\(954\) | 37.7485 | + | 21.2723i | 1.22215 | + | 0.688717i | ||||
\(955\) | −2.63564 | + | 2.10185i | −0.0852873 | + | 0.0680144i | ||||
\(956\) | 3.35056 | − | 2.67198i | 0.108365 | − | 0.0864180i | ||||
\(957\) | 41.1420 | − | 30.6969i | 1.32993 | − | 0.992289i | ||||
\(958\) | −23.2022 | + | 5.29575i | −0.749630 | + | 0.171098i | ||||
\(959\) | −8.37390 | + | 8.77146i | −0.270407 | + | 0.283245i | ||||
\(960\) | 2.01850 | − | 0.392834i | 0.0651468 | − | 0.0126787i | ||||
\(961\) | −20.5963 | −0.664396 | ||||||||
\(962\) | 26.4089 | 0.851457 | ||||||||
\(963\) | −45.4404 | + | 31.6799i | −1.46430 | + | 1.02087i | ||||
\(964\) | 1.16024 | + | 2.40925i | 0.0373687 | + | 0.0775968i | ||||
\(965\) | 1.53178 | + | 1.92079i | 0.0493097 | + | 0.0618325i | ||||
\(966\) | 11.1305 | + | 1.35568i | 0.358116 | + | 0.0436182i | ||||
\(967\) | 9.52898 | − | 11.9490i | 0.306431 | − | 0.384253i | −0.604642 | − | 0.796498i | \(-0.706684\pi\) |
0.911073 | + | 0.412245i | \(0.135255\pi\) | |||||||
\(968\) | 17.5963 | + | 4.01624i | 0.565567 | + | 0.129087i | ||||
\(969\) | 0.808306 | − | 3.08081i | 0.0259665 | − | 0.0989698i | ||||
\(970\) | −0.132664 | + | 0.0638875i | −0.00425958 | + | 0.00205130i | ||||
\(971\) | −23.2373 | − | 29.1387i | −0.745722 | − | 0.935106i | 0.253761 | − | 0.967267i | \(-0.418332\pi\) |
−0.999483 | + | 0.0321612i | \(0.989761\pi\) | |||||||
\(972\) | −4.11706 | + | 0.261671i | −0.132055 | + | 0.00839310i | ||||
\(973\) | 24.8335 | + | 2.21645i | 0.796127 | + | 0.0710562i | ||||
\(974\) | 1.22963 | + | 2.55336i | 0.0394000 | + | 0.0818150i | ||||
\(975\) | 29.8285 | + | 0.960373i | 0.955275 | + | 0.0307565i | ||||
\(976\) | −9.33691 | + | 2.13109i | −0.298867 | + | 0.0682145i | ||||
\(977\) | −3.31735 | + | 6.88855i | −0.106131 | + | 0.220384i | −0.947271 | − | 0.320434i | \(-0.896171\pi\) |
0.841139 | + | 0.540819i | \(0.181885\pi\) | |||||||
\(978\) | −4.11331 | + | 15.6776i | −0.131529 | + | 0.501315i | ||||
\(979\) | 11.1033i | 0.354863i | ||||||||
\(980\) | −0.156455 | − | 0.289709i | −0.00499776 | − | 0.00925440i | ||||
\(981\) | −21.1281 | + | 23.2524i | −0.674567 | + | 0.742390i | ||||
\(982\) | −10.9360 | + | 13.7133i | −0.348981 | + | 0.437609i | ||||
\(983\) | 9.23455 | + | 4.44713i | 0.294537 | + | 0.141841i | 0.575317 | − | 0.817931i | \(-0.304879\pi\) |
−0.280780 | + | 0.959772i | \(0.590593\pi\) | |||||||
\(984\) | −5.06413 | − | 6.78729i | −0.161439 | − | 0.216371i | ||||
\(985\) | −1.09610 | + | 2.27608i | −0.0349247 | + | 0.0725219i | ||||
\(986\) | 48.0319 | − | 23.1310i | 1.52965 | − | 0.736640i | ||||
\(987\) | 1.25094 | − | 3.47434i | 0.0398179 | − | 0.110589i | ||||
\(988\) | 0.300572 | + | 0.144748i | 0.00956248 | + | 0.00460505i | ||||
\(989\) | 7.33961 | − | 5.85314i | 0.233386 | − | 0.186119i | ||||
\(990\) | −0.967075 | + | 3.25533i | −0.0307357 | + | 0.103461i | ||||
\(991\) | −30.0699 | + | 37.7064i | −0.955201 | + | 1.19778i | 0.0249815 | + | 0.999688i | \(0.492047\pi\) |
−0.980183 | + | 0.198096i | \(0.936524\pi\) | |||||||
\(992\) | −2.37778 | + | 10.4177i | −0.0754946 | + | 0.330763i | ||||
\(993\) | −10.6562 | − | 2.79584i | −0.338164 | − | 0.0887234i | ||||
\(994\) | 0.849100 | − | 9.51348i | 0.0269318 | − | 0.301749i | ||||
\(995\) | −1.45798 | + | 1.16270i | −0.0462210 | + | 0.0368600i | ||||
\(996\) | −5.88072 | − | 5.00763i | −0.186338 | − | 0.158673i | ||||
\(997\) | −12.6030 | − | 2.87655i | −0.399140 | − | 0.0911011i | 0.0182388 | − | 0.999834i | \(-0.494194\pi\) |
−0.417379 | + | 0.908733i | \(0.637051\pi\) | |||||||
\(998\) | − | 24.6383i | − | 0.779911i | ||||||
\(999\) | −24.9512 | − | 8.29503i | −0.789420 | − | 0.262443i |
(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 | 147.2.k.a.104.13 | yes | 96 | |
3.2 | odd | 2 | inner | 147.2.k.a.104.4 | yes | 96 | |
49.41 | odd | 14 | inner | 147.2.k.a.41.4 | ✓ | 96 | |
147.41 | even | 14 | inner | 147.2.k.a.41.13 | yes | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
147.2.k.a.41.4 | ✓ | 96 | 49.41 | odd | 14 | inner | |
147.2.k.a.41.13 | yes | 96 | 147.41 | even | 14 | inner | |
147.2.k.a.104.4 | yes | 96 | 3.2 | odd | 2 | inner | |
147.2.k.a.104.13 | yes | 96 | 1.1 | even | 1 | trivial |