Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [392,2,Mod(37,392)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(392, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([0, 21, 32]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("392.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 392 = 2^{3} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 392.z (of order \(42\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.13013575923\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 205.11 | ||
Character | \(\chi\) | \(=\) | 392.205 |
Dual form | 392.2.z.a.109.11 |
$q$-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 \(\left(\mathbb{Z}/392\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(295\) | \(297\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{1}{21}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.19093 | − | 0.762688i | −0.842112 | − | 0.539302i | ||||
\(3\) | −0.209889 | + | 1.39252i | −0.121180 | + | 0.803974i | 0.842844 | + | 0.538158i | \(0.180879\pi\) |
−0.964024 | + | 0.265816i | \(0.914359\pi\) | |||||||
\(4\) | 0.836613 | + | 1.81661i | 0.418306 | + | 0.908306i | ||||
\(5\) | 1.73139 | − | 0.679519i | 0.774300 | − | 0.303890i | 0.0549049 | − | 0.998492i | \(-0.482514\pi\) |
0.719395 | + | 0.694601i | \(0.244419\pi\) | |||||||
\(6\) | 1.31202 | − | 1.49831i | 0.535632 | − | 0.611684i | ||||
\(7\) | −0.592319 | + | 2.57860i | −0.223875 | + | 0.974618i | ||||
\(8\) | 0.389164 | − | 2.80153i | 0.137590 | − | 0.990489i | ||||
\(9\) | 0.971651 | + | 0.299715i | 0.323884 | + | 0.0999049i | ||||
\(10\) | −2.58022 | − | 0.511251i | −0.815936 | − | 0.161672i | ||||
\(11\) | −0.224646 | − | 0.728285i | −0.0677333 | − | 0.219586i | 0.915378 | − | 0.402596i | \(-0.131892\pi\) |
−0.983111 | + | 0.183010i | \(0.941416\pi\) | |||||||
\(12\) | −2.70527 | + | 0.783716i | −0.780944 | + | 0.226239i | ||||
\(13\) | 1.74405 | + | 0.398067i | 0.483712 | + | 0.110404i | 0.457421 | − | 0.889250i | \(-0.348773\pi\) |
0.0262907 | + | 0.999654i | \(0.491630\pi\) | |||||||
\(14\) | 2.67207 | − | 2.61916i | 0.714142 | − | 0.700001i | ||||
\(15\) | 0.582847 | + | 2.55362i | 0.150490 | + | 0.659342i | ||||
\(16\) | −2.60016 | + | 3.03960i | −0.650040 | + | 0.759900i | ||||
\(17\) | 4.21955 | + | 2.87684i | 1.02339 | + | 0.697737i | 0.953986 | − | 0.299851i | \(-0.0969371\pi\) |
0.0694063 | + | 0.997588i | \(0.477890\pi\) | |||||||
\(18\) | −0.928576 | − | 1.09800i | −0.218867 | − | 0.258802i | ||||
\(19\) | −7.23191 | − | 4.17535i | −1.65911 | − | 0.957890i | −0.973125 | − | 0.230279i | \(-0.926036\pi\) |
−0.685990 | − | 0.727611i | \(-0.740630\pi\) | |||||||
\(20\) | 2.68292 | + | 2.57676i | 0.599920 | + | 0.576182i | ||||
\(21\) | −3.46643 | − | 1.36604i | −0.756438 | − | 0.298094i | ||||
\(22\) | −0.287917 | + | 1.03867i | −0.0613842 | + | 0.221445i | ||||
\(23\) | −0.115232 | + | 0.0785636i | −0.0240275 | + | 0.0163816i | −0.575274 | − | 0.817961i | \(-0.695105\pi\) |
0.551247 | + | 0.834342i | \(0.314152\pi\) | |||||||
\(24\) | 3.81951 | + | 1.12993i | 0.779654 | + | 0.230646i | ||||
\(25\) | −1.12931 | + | 1.04784i | −0.225861 | + | 0.209568i | ||||
\(26\) | −1.77343 | − | 1.80423i | −0.347798 | − | 0.353839i | ||||
\(27\) | −2.45435 | + | 5.09651i | −0.472340 | + | 0.980825i | ||||
\(28\) | −5.17985 | + | 1.08127i | −0.978900 | + | 0.204341i | ||||
\(29\) | 2.76656 | + | 5.74483i | 0.513738 | + | 1.06679i | 0.982979 | + | 0.183718i | \(0.0588133\pi\) |
−0.469241 | + | 0.883070i | \(0.655472\pi\) | |||||||
\(30\) | 1.25349 | − | 3.48571i | 0.228855 | − | 0.636400i | ||||
\(31\) | 3.93613 | + | 6.81758i | 0.706951 | + | 1.22447i | 0.965983 | + | 0.258606i | \(0.0832630\pi\) |
−0.259032 | + | 0.965869i | \(0.583404\pi\) | |||||||
\(32\) | 5.41487 | − | 1.63683i | 0.957222 | − | 0.289354i | ||||
\(33\) | 1.06130 | − | 0.159966i | 0.184749 | − | 0.0278465i | ||||
\(34\) | −2.83104 | − | 6.64431i | −0.485520 | − | 1.13949i | ||||
\(35\) | 0.726673 | + | 4.86704i | 0.122830 | + | 0.822680i | ||||
\(36\) | 0.268430 | + | 2.01586i | 0.0447384 | + | 0.335976i | ||||
\(37\) | 4.03411 | + | 0.302315i | 0.663204 | + | 0.0497003i | 0.402080 | − | 0.915605i | \(-0.368288\pi\) |
0.261125 | + | 0.965305i | \(0.415907\pi\) | |||||||
\(38\) | 5.42819 | + | 10.4882i | 0.880568 | + | 1.70142i | ||||
\(39\) | −0.920374 | + | 2.34508i | −0.147378 | + | 0.375513i | ||||
\(40\) | −1.22990 | − | 5.11497i | −0.194464 | − | 0.808748i | ||||
\(41\) | 2.31407 | − | 2.90175i | 0.361397 | − | 0.453177i | −0.567578 | − | 0.823319i | \(-0.692120\pi\) |
0.928975 | + | 0.370142i | \(0.120691\pi\) | |||||||
\(42\) | 3.08641 | + | 4.27066i | 0.476243 | + | 0.658977i | ||||
\(43\) | 6.71348 | − | 5.35382i | 1.02380 | − | 0.816450i | 0.0406320 | − | 0.999174i | \(-0.487063\pi\) |
0.983164 | + | 0.182724i | \(0.0584914\pi\) | |||||||
\(44\) | 1.13507 | − | 1.01739i | 0.171118 | − | 0.153377i | ||||
\(45\) | 1.88597 | − | 0.141334i | 0.281143 | − | 0.0210688i | ||||
\(46\) | 0.197152 | − | 0.00567765i | 0.0290685 | − | 0.000837124i | ||||
\(47\) | 4.15655 | + | 3.85672i | 0.606295 | + | 0.562560i | 0.922435 | − | 0.386153i | \(-0.126196\pi\) |
−0.316140 | + | 0.948713i | \(0.602387\pi\) | |||||||
\(48\) | −3.68697 | − | 4.25876i | −0.532168 | − | 0.614699i | ||||
\(49\) | −6.29832 | − | 3.05470i | −0.899760 | − | 0.436386i | ||||
\(50\) | 2.14410 | − | 0.386595i | 0.303221 | − | 0.0546728i | ||||
\(51\) | −4.89171 | + | 5.27201i | −0.684976 | + | 0.738229i | ||||
\(52\) | 0.735958 | + | 3.50128i | 0.102059 | + | 0.485541i | ||||
\(53\) | −7.02866 | + | 0.526726i | −0.965461 | + | 0.0723513i | −0.548121 | − | 0.836399i | \(-0.684657\pi\) |
−0.417340 | + | 0.908750i | \(0.637038\pi\) | |||||||
\(54\) | 6.81001 | − | 4.19767i | 0.926724 | − | 0.571230i | ||||
\(55\) | −0.883833 | − | 1.10829i | −0.119176 | − | 0.149442i | ||||
\(56\) | 6.99350 | + | 2.66290i | 0.934545 | + | 0.355844i | ||||
\(57\) | 7.33217 | − | 9.19425i | 0.971169 | − | 1.21781i | ||||
\(58\) | 1.08674 | − | 8.95170i | 0.142696 | − | 1.17542i | ||||
\(59\) | −7.74518 | − | 3.03976i | −1.00834 | − | 0.395743i | −0.197052 | − | 0.980393i | \(-0.563137\pi\) |
−0.811286 | + | 0.584650i | \(0.801232\pi\) | |||||||
\(60\) | −4.15132 | + | 3.19520i | −0.535933 | + | 0.412498i | ||||
\(61\) | −7.47238 | − | 0.559977i | −0.956740 | − | 0.0716978i | −0.412800 | − | 0.910822i | \(-0.635449\pi\) |
−0.543940 | + | 0.839124i | \(0.683068\pi\) | |||||||
\(62\) | 0.512045 | − | 11.1213i | 0.0650298 | − | 1.41240i | ||||
\(63\) | −1.34837 | + | 2.32797i | −0.169879 | + | 0.293296i | ||||
\(64\) | −7.69710 | − | 2.18051i | −0.962138 | − | 0.272564i | ||||
\(65\) | 3.29011 | − | 0.495905i | 0.408088 | − | 0.0615094i | ||||
\(66\) | −1.38594 | − | 0.618937i | −0.170597 | − | 0.0761858i | ||||
\(67\) | 6.85847 | − | 3.95974i | 0.837895 | − | 0.483759i | −0.0186529 | − | 0.999826i | \(-0.505938\pi\) |
0.856548 | + | 0.516067i | \(0.172604\pi\) | |||||||
\(68\) | −1.69598 | + | 10.0721i | −0.205667 | + | 1.22142i | ||||
\(69\) | −0.0852158 | − | 0.176952i | −0.0102588 | − | 0.0213026i | ||||
\(70\) | 2.84662 | − | 6.35051i | 0.340236 | − | 0.759031i | ||||
\(71\) | 2.31572 | + | 1.11519i | 0.274825 | + | 0.132349i | 0.566220 | − | 0.824254i | \(-0.308405\pi\) |
−0.291395 | + | 0.956603i | \(0.594119\pi\) | |||||||
\(72\) | 1.21779 | − | 2.60547i | 0.143518 | − | 0.307057i | ||||
\(73\) | 0.0710248 | − | 0.0659013i | 0.00831282 | − | 0.00771317i | −0.676005 | − | 0.736897i | \(-0.736290\pi\) |
0.684318 | + | 0.729184i | \(0.260100\pi\) | |||||||
\(74\) | −4.57376 | − | 3.43681i | −0.531689 | − | 0.399521i | ||||
\(75\) | −1.22212 | − | 1.79251i | −0.141118 | − | 0.206982i | ||||
\(76\) | 1.53467 | − | 16.6307i | 0.176039 | − | 1.90768i | ||||
\(77\) | 2.01101 | − | 0.147895i | 0.229176 | − | 0.0168542i | ||||
\(78\) | 2.88466 | − | 2.09085i | 0.326623 | − | 0.236743i | ||||
\(79\) | −2.79738 | + | 4.84520i | −0.314729 | + | 0.545127i | −0.979380 | − | 0.202027i | \(-0.935247\pi\) |
0.664651 | + | 0.747154i | \(0.268580\pi\) | |||||||
\(80\) | −2.43641 | + | 7.02958i | −0.272399 | + | 0.785931i | ||||
\(81\) | −4.06145 | − | 2.76905i | −0.451272 | − | 0.307672i | ||||
\(82\) | −4.96902 | + | 1.69086i | −0.548736 | + | 0.186724i | ||||
\(83\) | 9.51251 | − | 2.17117i | 1.04413 | − | 0.238317i | 0.334139 | − | 0.942524i | \(-0.391555\pi\) |
0.709994 | + | 0.704207i | \(0.248697\pi\) | |||||||
\(84\) | −0.418504 | − | 7.44001i | −0.0456625 | − | 0.811772i | ||||
\(85\) | 9.26055 | + | 2.11366i | 1.00445 | + | 0.229259i | ||||
\(86\) | −12.0786 | + | 1.25572i | −1.30246 | + | 0.135407i | ||||
\(87\) | −8.58048 | + | 2.64673i | −0.919924 | + | 0.283759i | ||||
\(88\) | −2.12773 | + | 0.345929i | −0.226817 | + | 0.0368762i | ||||
\(89\) | −0.741049 | − | 0.228583i | −0.0785510 | − | 0.0242298i | 0.255231 | − | 0.966880i | \(-0.417849\pi\) |
−0.333782 | + | 0.942650i | \(0.608325\pi\) | |||||||
\(90\) | −2.35384 | − | 1.27009i | −0.248116 | − | 0.133879i | ||||
\(91\) | −2.05949 | + | 4.26141i | −0.215893 | + | 0.446717i | ||||
\(92\) | −0.239124 | − | 0.143604i | −0.0249304 | − | 0.0149717i | ||||
\(93\) | −10.3198 | + | 4.05022i | −1.07011 | + | 0.419988i | ||||
\(94\) | −2.00867 | − | 7.76322i | −0.207179 | − | 0.800715i | ||||
\(95\) | −15.3585 | − | 2.31492i | −1.57575 | − | 0.237505i | ||||
\(96\) | 1.14281 | + | 7.88388i | 0.116637 | + | 0.804645i | ||||
\(97\) | −12.3959 | −1.25862 | −0.629308 | − | 0.777156i | \(-0.716662\pi\) | ||||
−0.629308 | + | 0.777156i | \(0.716662\pi\) | |||||||
\(98\) | 5.17105 | + | 8.44158i | 0.522355 | + | 0.852728i | ||||
\(99\) | − | 0.774968i | − | 0.0778872i | ||||||
\(100\) | −2.84831 | − | 1.17487i | −0.284831 | − | 0.117487i | ||||
\(101\) | 0.149844 | − | 0.994147i | 0.0149100 | − | 0.0989214i | −0.980138 | − | 0.198316i | \(-0.936453\pi\) |
0.995048 | + | 0.0993950i | \(0.0316907\pi\) | |||||||
\(102\) | 9.84657 | − | 2.54773i | 0.974956 | − | 0.252262i | ||||
\(103\) | −1.59764 | − | 4.07071i | −0.157420 | − | 0.401099i | 0.830304 | − | 0.557311i | \(-0.188167\pi\) |
−0.987724 | + | 0.156212i | \(0.950072\pi\) | |||||||
\(104\) | 1.79392 | − | 4.73108i | 0.175908 | − | 0.463921i | ||||
\(105\) | −6.92999 | − | 0.00962995i | −0.676297 | − | 0.000939787i | ||||
\(106\) | 8.77235 | + | 4.73339i | 0.852046 | + | 0.459747i | ||||
\(107\) | 4.98847 | − | 16.1722i | 0.482253 | − | 1.56343i | −0.308458 | − | 0.951238i | \(-0.599813\pi\) |
0.790711 | − | 0.612189i | \(-0.209711\pi\) | |||||||
\(108\) | −11.3117 | − | 0.194796i | −1.08847 | − | 0.0187443i | ||||
\(109\) | −4.46093 | − | 14.4620i | −0.427280 | − | 1.38521i | −0.871986 | − | 0.489531i | \(-0.837168\pi\) |
0.444706 | − | 0.895676i | \(-0.353308\pi\) | |||||||
\(110\) | 0.207299 | + | 1.99398i | 0.0197652 | + | 0.190119i | ||||
\(111\) | −1.26770 | + | 5.55415i | −0.120325 | + | 0.527176i | ||||
\(112\) | −6.29778 | − | 8.50517i | −0.595084 | − | 0.803663i | ||||
\(113\) | −3.21616 | − | 14.0909i | −0.302551 | − | 1.32556i | −0.866263 | − | 0.499589i | \(-0.833484\pi\) |
0.563712 | − | 0.825971i | \(-0.309373\pi\) | |||||||
\(114\) | −15.7444 | + | 5.35751i | −1.47460 | + | 0.501777i | ||||
\(115\) | −0.146125 | + | 0.214326i | −0.0136262 | + | 0.0199860i | ||||
\(116\) | −8.12158 | + | 9.83197i | −0.754070 | + | 0.912876i | ||||
\(117\) | 1.57530 | + | 0.909499i | 0.145636 | + | 0.0840832i | ||||
\(118\) | 6.90556 | + | 9.52730i | 0.635708 | + | 0.877059i | ||||
\(119\) | −9.91754 | + | 9.17652i | −0.909139 | + | 0.841210i | ||||
\(120\) | 7.38086 | − | 0.639083i | 0.673777 | − | 0.0583401i | ||||
\(121\) | 8.60869 | − | 5.86931i | 0.782609 | − | 0.533573i | ||||
\(122\) | 8.47197 | + | 6.36599i | 0.767016 | + | 0.576350i | ||||
\(123\) | 3.55506 | + | 3.83144i | 0.320549 | + | 0.345469i | ||||
\(124\) | −9.09189 | + | 12.8541i | −0.816475 | + | 1.15433i | ||||
\(125\) | −5.27826 | + | 10.9604i | −0.472102 | + | 0.980331i | ||||
\(126\) | 3.38132 | − | 1.74405i | 0.301232 | − | 0.155373i | ||||
\(127\) | 7.99416 | − | 3.84978i | 0.709367 | − | 0.341613i | −0.0441652 | − | 0.999024i | \(-0.514063\pi\) |
0.753532 | + | 0.657411i | \(0.228349\pi\) | |||||||
\(128\) | 7.50364 | + | 8.46732i | 0.663234 | + | 0.748412i | ||||
\(129\) | 6.04624 | + | 10.4724i | 0.532341 | + | 0.922042i | ||||
\(130\) | −4.29651 | − | 1.91875i | −0.376828 | − | 0.168285i | ||||
\(131\) | 1.97653 | + | 13.1134i | 0.172690 | + | 1.14572i | 0.892333 | + | 0.451378i | \(0.149067\pi\) |
−0.719643 | + | 0.694344i | \(0.755694\pi\) | |||||||
\(132\) | 1.17850 | + | 1.79415i | 0.102575 | + | 0.156161i | ||||
\(133\) | 15.0501 | − | 16.1750i | 1.30501 | − | 1.40255i | ||||
\(134\) | −11.1880 | − | 0.515116i | −0.966494 | − | 0.0444993i | ||||
\(135\) | −0.786253 | + | 10.4918i | −0.0676699 | + | 0.902992i | ||||
\(136\) | 9.70165 | − | 10.7016i | 0.831910 | − | 0.917657i | ||||
\(137\) | 6.98926 | − | 17.8083i | 0.597133 | − | 1.52147i | −0.237911 | − | 0.971287i | \(-0.576463\pi\) |
0.835044 | − | 0.550183i | \(-0.185442\pi\) | |||||||
\(138\) | −0.0334738 | + | 0.275730i | −0.00284948 | + | 0.0234717i | ||||
\(139\) | −8.66321 | − | 6.90868i | −0.734804 | − | 0.585986i | 0.182957 | − | 0.983121i | \(-0.441433\pi\) |
−0.917760 | + | 0.397135i | \(0.870005\pi\) | |||||||
\(140\) | −8.23358 | + | 5.39191i | −0.695864 | + | 0.455700i | ||||
\(141\) | −6.24298 | + | 4.97861i | −0.525754 | + | 0.419275i | ||||
\(142\) | −1.90731 | − | 3.09428i | −0.160058 | − | 0.259666i | ||||
\(143\) | −0.101887 | − | 1.35959i | −0.00852021 | − | 0.113694i | ||||
\(144\) | −3.43746 | + | 2.17413i | −0.286455 | + | 0.181177i | ||||
\(145\) | 8.69372 | + | 8.06659i | 0.721974 | + | 0.669894i | ||||
\(146\) | −0.134847 | + | 0.0243139i | −0.0111601 | + | 0.00201223i | ||||
\(147\) | 5.57569 | − | 8.12940i | 0.459875 | − | 0.670502i | ||||
\(148\) | 2.82580 | + | 7.58134i | 0.232280 | + | 0.623182i | ||||
\(149\) | 11.0409 | − | 11.8993i | 0.904508 | − | 0.974828i | −0.0952792 | − | 0.995451i | \(-0.530374\pi\) |
0.999787 | + | 0.0206227i | \(0.00656487\pi\) | |||||||
\(150\) | 0.0883202 | + | 3.06685i | 0.00721131 | + | 0.250407i | ||||
\(151\) | −1.40221 | − | 18.7112i | −0.114110 | − | 1.52269i | −0.701078 | − | 0.713085i | \(-0.747298\pi\) |
0.586968 | − | 0.809610i | \(-0.300321\pi\) | |||||||
\(152\) | −14.5117 | + | 18.6355i | −1.17706 | + | 1.51154i | ||||
\(153\) | 3.23770 | + | 4.05995i | 0.261753 | + | 0.328227i | ||||
\(154\) | −2.50777 | − | 1.35765i | −0.202082 | − | 0.109402i | ||||
\(155\) | 11.4477 | + | 9.12920i | 0.919497 | + | 0.733275i | ||||
\(156\) | −5.03009 | + | 0.289957i | −0.402729 | + | 0.0232151i | ||||
\(157\) | 0.121724 | + | 0.0477732i | 0.00971463 | + | 0.00381271i | 0.370193 | − | 0.928955i | \(-0.379291\pi\) |
−0.360479 | + | 0.932767i | \(0.617387\pi\) | |||||||
\(158\) | 7.02684 | − | 3.63675i | 0.559026 | − | 0.289324i | ||||
\(159\) | 0.741763 | − | 9.89813i | 0.0588256 | − | 0.784973i | ||||
\(160\) | 8.26297 | − | 6.51350i | 0.653245 | − | 0.514937i | ||||
\(161\) | −0.134330 | − | 0.343671i | −0.0105867 | − | 0.0270850i | ||||
\(162\) | 2.72497 | + | 6.39536i | 0.214094 | + | 0.502467i | ||||
\(163\) | 2.73005 | + | 18.1127i | 0.213834 | + | 1.41869i | 0.795838 | + | 0.605509i | \(0.207030\pi\) |
−0.582005 | + | 0.813185i | \(0.697731\pi\) | |||||||
\(164\) | 7.20733 | + | 1.77612i | 0.562798 | + | 0.138692i | ||||
\(165\) | 1.72883 | − | 0.998139i | 0.134589 | − | 0.0777050i | ||||
\(166\) | −12.9846 | − | 4.66938i | −1.00780 | − | 0.362414i | ||||
\(167\) | 20.5598 | − | 9.90107i | 1.59096 | − | 0.766168i | 0.591762 | − | 0.806113i | \(-0.298432\pi\) |
0.999202 | + | 0.0399448i | \(0.0127182\pi\) | |||||||
\(168\) | −5.17600 | + | 9.17969i | −0.399337 | + | 0.708229i | ||||
\(169\) | −8.82935 | − | 4.25199i | −0.679181 | − | 0.327076i | ||||
\(170\) | −9.41657 | − | 9.58013i | −0.722218 | − | 0.734762i | ||||
\(171\) | −5.77548 | − | 6.22449i | −0.441662 | − | 0.475998i | ||||
\(172\) | 15.3424 | + | 7.71671i | 1.16985 | + | 0.588394i | ||||
\(173\) | 9.59645 | + | 14.0754i | 0.729604 | + | 1.07013i | 0.994385 | + | 0.105824i | \(0.0337482\pi\) |
−0.264780 | + | 0.964309i | \(0.585299\pi\) | |||||||
\(174\) | 12.2374 | + | 3.39217i | 0.927711 | + | 0.257160i | ||||
\(175\) | −2.03305 | − | 3.53268i | −0.153684 | − | 0.267045i | ||||
\(176\) | 2.79781 | + | 1.21082i | 0.210893 | + | 0.0912691i | ||||
\(177\) | 5.85857 | − | 10.1473i | 0.440357 | − | 0.762721i | ||||
\(178\) | 0.708197 | + | 0.837415i | 0.0530816 | + | 0.0627669i | ||||
\(179\) | 5.18554 | − | 7.60580i | 0.387586 | − | 0.568484i | −0.582014 | − | 0.813178i | \(-0.697735\pi\) |
0.969600 | + | 0.244695i | \(0.0786877\pi\) | |||||||
\(180\) | 1.83457 | + | 3.30783i | 0.136741 | + | 0.246551i | ||||
\(181\) | 3.01225 | − | 0.687527i | 0.223899 | − | 0.0511035i | −0.109099 | − | 0.994031i | \(-0.534797\pi\) |
0.332999 | + | 0.942927i | \(0.391940\pi\) | |||||||
\(182\) | 5.70283 | − | 3.50428i | 0.422722 | − | 0.259754i | ||||
\(183\) | 2.34815 | − | 10.2879i | 0.173580 | − | 0.760506i | ||||
\(184\) | 0.175254 | + | 0.353399i | 0.0129199 | + | 0.0260529i | ||||
\(185\) | 7.19004 | − | 2.21783i | 0.528622 | − | 0.163058i | ||||
\(186\) | 15.3792 | + | 3.04727i | 1.12766 | + | 0.223437i | ||||
\(187\) | 1.14725 | − | 3.71931i | 0.0838956 | − | 0.271983i | ||||
\(188\) | −3.52873 | + | 10.7774i | −0.257359 | + | 0.786024i | ||||
\(189\) | −11.6881 | − | 9.34754i | −0.850184 | − | 0.679934i | ||||
\(190\) | 16.5252 | + | 14.4706i | 1.19887 | + | 1.04981i | ||||
\(191\) | 4.49771 | + | 11.4600i | 0.325443 | + | 0.829215i | 0.996164 | + | 0.0875053i | \(0.0278895\pi\) |
−0.670721 | + | 0.741710i | \(0.734015\pi\) | |||||||
\(192\) | 4.65195 | − | 10.2607i | 0.335725 | − | 0.740504i | ||||
\(193\) | −10.5584 | − | 1.59142i | −0.760010 | − | 0.114553i | −0.242408 | − | 0.970174i | \(-0.577937\pi\) |
−0.517602 | + | 0.855621i | \(0.673175\pi\) | |||||||
\(194\) | 14.7626 | + | 9.45424i | 1.05990 | + | 0.678775i | ||||
\(195\) | 4.68565i | 0.335546i | ||||||||
\(196\) | 0.279957 | − | 13.9972i | 0.0199969 | − | 0.999800i | ||||
\(197\) | 8.00498i | 0.570331i | 0.958478 | + | 0.285166i | \(0.0920486\pi\) | ||||
−0.958478 | + | 0.285166i | \(0.907951\pi\) | |||||||
\(198\) | −0.591059 | + | 0.922930i | −0.0420047 | + | 0.0655898i | ||||
\(199\) | −4.49928 | − | 0.678158i | −0.318946 | − | 0.0480733i | −0.0123815 | − | 0.999923i | \(-0.503941\pi\) |
−0.306564 | + | 0.951850i | \(0.599179\pi\) | |||||||
\(200\) | 2.49607 | + | 3.57156i | 0.176499 | + | 0.252548i | ||||
\(201\) | 4.07451 | + | 10.3817i | 0.287394 | + | 0.732267i | ||||
\(202\) | −0.936677 | + | 1.06967i | −0.0659044 | + | 0.0752619i | ||||
\(203\) | −16.4523 | + | 3.73108i | −1.15472 | + | 0.261871i | ||||
\(204\) | −13.6697 | − | 4.47571i | −0.957068 | − | 0.313362i | ||||
\(205\) | 2.03475 | − | 6.59651i | 0.142113 | − | 0.460720i | ||||
\(206\) | −1.20202 | + | 6.06641i | −0.0837484 | + | 0.422667i | ||||
\(207\) | −0.135512 | + | 0.0417998i | −0.00941871 | + | 0.00290529i | ||||
\(208\) | −5.74476 | + | 4.26617i | −0.398328 | + | 0.295806i | ||||
\(209\) | −1.41622 | + | 6.20487i | −0.0979620 | + | 0.429200i | ||||
\(210\) | 8.24576 | + | 5.29689i | 0.569012 | + | 0.365520i | ||||
\(211\) | −9.75717 | + | 2.22701i | −0.671711 | + | 0.153314i | −0.544756 | − | 0.838595i | \(-0.683378\pi\) |
−0.126955 | + | 0.991908i | \(0.540520\pi\) | |||||||
\(212\) | −6.83713 | − | 12.3277i | −0.469576 | − | 0.846669i | ||||
\(213\) | −2.03897 | + | 2.99063i | −0.139708 | + | 0.204914i | ||||
\(214\) | −18.2753 | + | 15.4553i | −1.24927 | + | 1.05650i | ||||
\(215\) | 7.98561 | − | 13.8315i | 0.544614 | − | 0.943299i | ||||
\(216\) | 13.3229 | + | 8.85931i | 0.906507 | + | 0.602800i | ||||
\(217\) | −19.9112 | + | 6.11152i | −1.35166 | + | 0.414877i | ||||
\(218\) | −5.71735 | + | 20.6255i | −0.387228 | + | 1.39693i | ||||
\(219\) | 0.0768618 | + | 0.112736i | 0.00519384 | + | 0.00761797i | ||||
\(220\) | 1.27391 | − | 2.53279i | 0.0858869 | − | 0.170761i | ||||
\(221\) | 6.21392 | + | 6.69702i | 0.417994 | + | 0.450490i | ||||
\(222\) | 5.74582 | − | 5.64772i | 0.385634 | − | 0.379050i | ||||
\(223\) | 14.1199 | + | 6.79979i | 0.945538 | + | 0.455347i | 0.842120 | − | 0.539291i | \(-0.181308\pi\) |
0.103419 | + | 0.994638i | \(0.467022\pi\) | |||||||
\(224\) | 1.01340 | + | 14.9323i | 0.0677107 | + | 0.997705i | ||||
\(225\) | −1.41134 | + | 0.679668i | −0.0940896 | + | 0.0453112i | ||||
\(226\) | −6.91676 | + | 19.2342i | −0.460096 | + | 1.27944i | ||||
\(227\) | −6.49559 | + | 3.75023i | −0.431128 | + | 0.248912i | −0.699827 | − | 0.714312i | \(-0.746740\pi\) |
0.268699 | + | 0.963224i | \(0.413406\pi\) | |||||||
\(228\) | 22.8366 | + | 5.62768i | 1.51239 | + | 0.372702i | ||||
\(229\) | 1.93289 | + | 12.8239i | 0.127729 | + | 0.847429i | 0.957314 | + | 0.289048i | \(0.0933388\pi\) |
−0.829585 | + | 0.558380i | \(0.811423\pi\) | |||||||
\(230\) | 0.337488 | − | 0.143799i | 0.0222533 | − | 0.00948181i | ||||
\(231\) | −0.216143 | + | 2.83143i | −0.0142212 | + | 0.186294i | ||||
\(232\) | 17.1709 | − | 5.51492i | 1.12733 | − | 0.362072i | ||||
\(233\) | −0.411273 | + | 5.48806i | −0.0269434 | + | 0.359535i | 0.967395 | + | 0.253273i | \(0.0815072\pi\) |
−0.994338 | + | 0.106262i | \(0.966112\pi\) | |||||||
\(234\) | −1.18240 | − | 2.28461i | −0.0772959 | − | 0.149349i | ||||
\(235\) | 9.81731 | + | 3.85301i | 0.640411 | + | 0.251343i | ||||
\(236\) | −0.957654 | − | 16.6131i | −0.0623380 | − | 1.08142i | ||||
\(237\) | −6.15991 | − | 4.91236i | −0.400129 | − | 0.319092i | ||||
\(238\) | 18.8099 | − | 3.36457i | 1.21926 | − | 0.218093i | ||||
\(239\) | 5.70270 | + | 7.15096i | 0.368877 | + | 0.462557i | 0.931279 | − | 0.364307i | \(-0.118694\pi\) |
−0.562402 | + | 0.826864i | \(0.690123\pi\) | |||||||
\(240\) | −9.27748 | − | 4.86819i | −0.598859 | − | 0.314241i | ||||
\(241\) | 0.530096 | + | 7.07364i | 0.0341465 | + | 0.455653i | 0.987903 | + | 0.155073i | \(0.0495612\pi\) |
−0.953757 | + | 0.300580i | \(0.902820\pi\) | |||||||
\(242\) | −14.7288 | + | 0.424165i | −0.946802 | + | 0.0272663i | ||||
\(243\) | −6.83419 | + | 7.36550i | −0.438413 | + | 0.472497i | ||||
\(244\) | −5.23423 | − | 14.0429i | −0.335087 | − | 0.899005i | ||||
\(245\) | −12.9806 | − | 1.00904i | −0.829297 | − | 0.0644654i | ||||
\(246\) | −1.31162 | − | 7.27437i | −0.0836257 | − | 0.463797i | ||||
\(247\) | −10.9507 | − | 10.1608i | −0.696778 | − | 0.646515i | ||||
\(248\) | 20.6314 | − | 8.37402i | 1.31010 | − | 0.531751i | ||||
\(249\) | 1.02683 | + | 13.7021i | 0.0650727 | + | 0.868335i | ||||
\(250\) | 14.6454 | − | 9.02740i | 0.926258 | − | 0.570943i | ||||
\(251\) | 6.39440 | − | 5.09936i | 0.403611 | − | 0.321869i | −0.400556 | − | 0.916272i | \(-0.631183\pi\) |
0.804167 | + | 0.594403i | \(0.202612\pi\) | |||||||
\(252\) | −5.35708 | − | 0.501857i | −0.337464 | − | 0.0316140i | ||||
\(253\) | 0.0831030 | + | 0.0662725i | 0.00522464 | + | 0.00416651i | ||||
\(254\) | −12.4566 | − | 1.51224i | −0.781599 | − | 0.0948865i | ||||
\(255\) | −4.88701 | + | 12.4519i | −0.306036 | + | 0.779768i | ||||
\(256\) | −2.47835 | − | 15.8069i | −0.154897 | − | 0.987931i | ||||
\(257\) | 0.745048 | − | 9.94198i | 0.0464748 | − | 0.620163i | −0.924531 | − | 0.381107i | \(-0.875543\pi\) |
0.971006 | − | 0.239056i | \(-0.0768381\pi\) | |||||||
\(258\) | 0.786545 | − | 17.0832i | 0.0489682 | − | 1.06356i | ||||
\(259\) | −3.16903 | + | 10.2233i | −0.196914 | + | 0.635244i | ||||
\(260\) | 3.65342 | + | 5.56198i | 0.226575 | + | 0.344939i | ||||
\(261\) | 0.966325 | + | 6.41115i | 0.0598140 | + | 0.396840i | ||||
\(262\) | 7.64754 | − | 17.1246i | 0.472466 | − | 1.05796i | ||||
\(263\) | −15.2262 | − | 26.3726i | −0.938888 | − | 1.62620i | −0.767549 | − | 0.640990i | \(-0.778524\pi\) |
−0.171339 | − | 0.985212i | \(-0.554809\pi\) | |||||||
\(264\) | −0.0351267 | − | 3.03552i | −0.00216190 | − | 0.186824i | ||||
\(265\) | −11.8114 | + | 5.68808i | −0.725570 | + | 0.349416i | ||||
\(266\) | −30.2601 | + | 7.78473i | −1.85537 | + | 0.477313i | ||||
\(267\) | 0.473846 | − | 0.983951i | 0.0289989 | − | 0.0602168i | ||||
\(268\) | 12.9312 | + | 9.14641i | 0.789898 | + | 0.558706i | ||||
\(269\) | 0.774505 | + | 0.834718i | 0.0472224 | + | 0.0508937i | 0.756221 | − | 0.654316i | \(-0.227043\pi\) |
−0.708999 | + | 0.705210i | \(0.750853\pi\) | |||||||
\(270\) | 8.93836 | − | 11.8953i | 0.543971 | − | 0.723926i | ||||
\(271\) | 15.2999 | − | 10.4313i | 0.929400 | − | 0.633654i | −0.00107918 | − | 0.999999i | \(-0.500344\pi\) |
0.930479 | + | 0.366345i | \(0.119391\pi\) | |||||||
\(272\) | −19.7160 | + | 5.34552i | −1.19546 | + | 0.324119i | ||||
\(273\) | −5.50185 | − | 3.76231i | −0.332987 | − | 0.227705i | ||||
\(274\) | −21.9059 | + | 15.8778i | −1.32338 | + | 0.959213i | ||||
\(275\) | 1.01682 | + | 0.587062i | 0.0613166 | + | 0.0354012i | ||||
\(276\) | 0.250161 | − | 0.302845i | 0.0150579 | − | 0.0182291i | ||||
\(277\) | −10.4357 | + | 15.3063i | −0.627018 | + | 0.919666i | −0.999966 | − | 0.00818574i | \(-0.997394\pi\) |
0.372949 | + | 0.927852i | \(0.378347\pi\) | |||||||
\(278\) | 5.04808 | + | 14.8351i | 0.302764 | + | 0.889748i | ||||
\(279\) | 1.78122 | + | 7.80403i | 0.106639 | + | 0.467215i | ||||
\(280\) | 13.9179 | − | 0.141714i | 0.831756 | − | 0.00846903i | ||||
\(281\) | 5.53059 | − | 24.2311i | 0.329927 | − | 1.44551i | −0.489339 | − | 0.872094i | \(-0.662762\pi\) |
0.819267 | − | 0.573413i | \(-0.194381\pi\) | |||||||
\(282\) | 11.2321 | − | 1.16771i | 0.668860 | − | 0.0695362i | ||||
\(283\) | −1.40146 | − | 4.54341i | −0.0833079 | − | 0.270078i | 0.904329 | − | 0.426836i | \(-0.140372\pi\) |
−0.987637 | + | 0.156758i | \(0.949896\pi\) | |||||||
\(284\) | −0.0885102 | + | 5.13975i | −0.00525211 | + | 0.304988i | ||||
\(285\) | 6.44715 | − | 20.9011i | 0.381896 | − | 1.23808i | ||||
\(286\) | −0.915601 | + | 1.69688i | −0.0541406 | + | 0.100338i | ||||
\(287\) | 6.11178 | + | 7.68581i | 0.360767 | + | 0.453679i | ||||
\(288\) | 5.75194 | + | 0.0324854i | 0.338936 | + | 0.00191422i | ||||
\(289\) | 3.31761 | + | 8.45314i | 0.195154 | + | 0.497243i | ||||
\(290\) | −4.20128 | − | 16.2373i | −0.246708 | − | 0.953488i | ||||
\(291\) | 2.60177 | − | 17.2616i | 0.152519 | − | 1.01189i | ||||
\(292\) | 0.179137 | + | 0.0738905i | 0.0104832 | + | 0.00432412i | ||||
\(293\) | − | 13.2778i | − | 0.775698i | −0.921723 | − | 0.387849i | \(-0.873218\pi\) | ||
0.921723 | − | 0.387849i | \(-0.126782\pi\) | |||||||
\(294\) | −12.8404 | + | 5.42901i | −0.748870 | + | 0.316626i | ||||
\(295\) | −15.4755 | −0.901018 | ||||||||
\(296\) | 2.41688 | − | 11.1840i | 0.140478 | − | 0.650059i | ||||
\(297\) | 4.26307 | + | 0.642555i | 0.247369 | + | 0.0372848i | ||||
\(298\) | −22.2244 | + | 5.75039i | −1.28742 | + | 0.333111i | ||||
\(299\) | −0.232243 | + | 0.0911487i | −0.0134310 | + | 0.00527126i | ||||
\(300\) | 2.23387 | − | 3.71975i | 0.128972 | − | 0.214760i | ||||
\(301\) | 9.82883 | + | 20.4825i | 0.566524 | + | 1.18059i | ||||
\(302\) | −12.6009 | + | 23.3531i | −0.725099 | + | 1.34382i | ||||
\(303\) | 1.35292 | + | 0.417321i | 0.0777234 | + | 0.0239745i | ||||
\(304\) | 31.4955 | − | 11.1256i | 1.80639 | − | 0.638095i | ||||
\(305\) | −13.3181 | + | 4.10809i | −0.762592 | + | 0.235228i | ||||
\(306\) | −0.759389 | − | 7.30446i | −0.0434114 | − | 0.417568i | ||||
\(307\) | −6.90277 | − | 1.57551i | −0.393962 | − | 0.0899193i | 0.0209506 | − | 0.999781i | \(-0.493331\pi\) |
−0.414913 | + | 0.909861i | \(0.636188\pi\) | |||||||
\(308\) | 1.95111 | + | 3.52950i | 0.111175 | + | 0.201112i | ||||
\(309\) | 6.00388 | − | 1.37035i | 0.341549 | − | 0.0779563i | ||||
\(310\) | −6.67058 | − | 19.6032i | −0.378863 | − | 1.11339i | ||||
\(311\) | −25.4855 | − | 17.3757i | −1.44515 | − | 0.985288i | −0.995764 | − | 0.0919508i | \(-0.970690\pi\) |
−0.449388 | − | 0.893337i | \(-0.648358\pi\) | |||||||
\(312\) | 6.21161 | + | 3.49107i | 0.351663 | + | 0.197643i | ||||
\(313\) | −13.2680 | + | 22.9809i | −0.749953 | + | 1.29896i | 0.197891 | + | 0.980224i | \(0.436591\pi\) |
−0.947844 | + | 0.318733i | \(0.896743\pi\) | |||||||
\(314\) | −0.108528 | − | 0.149732i | −0.00612461 | − | 0.00844986i | ||||
\(315\) | −0.752651 | + | 4.94686i | −0.0424071 | + | 0.278724i | ||||
\(316\) | −11.1422 | − | 1.02819i | −0.626796 | − | 0.0578404i | ||||
\(317\) | 4.54047 | + | 6.65964i | 0.255018 | + | 0.374043i | 0.932303 | − | 0.361678i | \(-0.117796\pi\) |
−0.677285 | + | 0.735721i | \(0.736844\pi\) | |||||||
\(318\) | −8.43258 | + | 11.2222i | −0.472875 | + | 0.629311i | ||||
\(319\) | 3.56237 | − | 3.30540i | 0.199455 | − | 0.185067i | ||||
\(320\) | −14.8084 | + | 1.45502i | −0.827812 | + | 0.0813383i | ||||
\(321\) | 21.4732 | + | 10.3409i | 1.19852 | + | 0.577174i | ||||
\(322\) | −0.102136 | + | 0.511738i | −0.00569184 | + | 0.0285181i | ||||
\(323\) | −18.5036 | − | 38.4232i | −1.02957 | − | 2.13792i | ||||
\(324\) | 1.63243 | − | 9.69470i | 0.0906905 | − | 0.538595i | ||||
\(325\) | −2.38667 | + | 1.37795i | −0.132389 | + | 0.0764347i | ||||
\(326\) | 10.5630 | − | 23.6530i | 0.585033 | − | 1.31002i | ||||
\(327\) | 21.0750 | − | 3.17654i | 1.16545 | − | 0.175663i | ||||
\(328\) | −7.22878 | − | 7.61218i | −0.399142 | − | 0.420312i | ||||
\(329\) | −12.4069 | + | 8.43366i | −0.684015 | + | 0.464963i | ||||
\(330\) | −2.82018 | − | 0.129846i | −0.155246 | − | 0.00714781i | ||||
\(331\) | −9.71208 | − | 0.727820i | −0.533824 | − | 0.0400046i | −0.194909 | − | 0.980821i | \(-0.562441\pi\) |
−0.338916 | + | 0.940817i | \(0.610060\pi\) | |||||||
\(332\) | 11.9025 | + | 15.4641i | 0.653232 | + | 0.848703i | ||||
\(333\) | 3.82914 | + | 1.50283i | 0.209836 | + | 0.0823545i | ||||
\(334\) | −32.0366 | − | 3.88926i | −1.75297 | − | 0.212811i | ||||
\(335\) | 9.18394 | − | 11.5163i | 0.501772 | − | 0.629203i | ||||
\(336\) | 13.1655 | − | 6.98467i | 0.718236 | − | 0.381045i | ||||
\(337\) | 4.10315 | + | 5.14519i | 0.223513 | + | 0.280276i | 0.880926 | − | 0.473254i | \(-0.156921\pi\) |
−0.657413 | + | 0.753530i | \(0.728349\pi\) | |||||||
\(338\) | 7.27217 | + | 11.7979i | 0.395554 | + | 0.641719i | ||||
\(339\) | 20.2969 | − | 1.52105i | 1.10238 | − | 0.0826119i | ||||
\(340\) | 3.90779 | + | 18.5911i | 0.211930 | + | 1.00825i | ||||
\(341\) | 4.08090 | − | 4.39817i | 0.220993 | − | 0.238174i | ||||
\(342\) | 2.13083 | + | 11.8178i | 0.115222 | + | 0.639033i | ||||
\(343\) | 11.6075 | − | 14.4315i | 0.626744 | − | 0.779225i | ||||
\(344\) | −12.3862 | − | 20.8915i | −0.667821 | − | 1.12639i | ||||
\(345\) | −0.267784 | − | 0.248467i | −0.0144170 | − | 0.0133770i | ||||
\(346\) | −0.693518 | − | 24.0819i | −0.0372838 | − | 1.29465i | ||||
\(347\) | 9.65290 | − | 0.723385i | 0.518195 | − | 0.0388333i | 0.186934 | − | 0.982372i | \(-0.440145\pi\) |
0.331261 | + | 0.943539i | \(0.392526\pi\) | |||||||
\(348\) | −11.9866 | − | 13.3731i | −0.642550 | − | 0.716874i | ||||
\(349\) | −12.8430 | + | 10.2420i | −0.687472 | + | 0.548240i | −0.903734 | − | 0.428095i | \(-0.859185\pi\) |
0.216262 | + | 0.976335i | \(0.430613\pi\) | |||||||
\(350\) | −0.273116 | + | 5.75775i | −0.0145987 | + | 0.307765i | ||||
\(351\) | −6.30926 | + | 7.91156i | −0.336763 | + | 0.422288i | ||||
\(352\) | −2.40851 | − | 3.57586i | −0.128374 | − | 0.190594i | ||||
\(353\) | −1.99591 | + | 5.08549i | −0.106231 | + | 0.270673i | −0.974099 | − | 0.226123i | \(-0.927395\pi\) |
0.867867 | + | 0.496796i | \(0.165490\pi\) | |||||||
\(354\) | −14.7164 | + | 7.61647i | −0.782167 | + | 0.404811i | ||||
\(355\) | 4.76720 | + | 0.357252i | 0.253017 | + | 0.0189610i | ||||
\(356\) | −0.204724 | − | 1.53743i | −0.0108503 | − | 0.0814838i | ||||
\(357\) | −10.6969 | − | 15.7365i | −0.566142 | − | 0.832862i | ||||
\(358\) | −11.9765 | + | 5.10299i | −0.632975 | + | 0.269701i | ||||
\(359\) | −8.05567 | + | 1.21420i | −0.425162 | + | 0.0640828i | −0.358138 | − | 0.933669i | \(-0.616588\pi\) |
−0.0670235 | + | 0.997751i | \(0.521350\pi\) | |||||||
\(360\) | 0.338001 | − | 5.33858i | 0.0178142 | − | 0.281368i | ||||
\(361\) | 25.3670 | + | 43.9370i | 1.33511 | + | 2.31247i | ||||
\(362\) | −4.11174 | − | 1.47862i | −0.216108 | − | 0.0777144i | ||||
\(363\) | 6.36628 | + | 13.2197i | 0.334143 | + | 0.693855i | ||||
\(364\) | −9.46432 | − | 0.176138i | −0.496065 | − | 0.00923216i | ||||
\(365\) | 0.0781901 | − | 0.162363i | 0.00409266 | − | 0.00849849i | ||||
\(366\) | −10.6430 | + | 10.4613i | −0.556317 | + | 0.546819i | ||||
\(367\) | −9.72965 | + | 9.02779i | −0.507883 | + | 0.471247i | −0.891999 | − | 0.452038i | \(-0.850697\pi\) |
0.384115 | + | 0.923285i | \(0.374507\pi\) | |||||||
\(368\) | 0.0608185 | − | 0.554536i | 0.00317038 | − | 0.0289072i | ||||
\(369\) | 3.11816 | − | 2.12593i | 0.162325 | − | 0.110671i | ||||
\(370\) | −10.2543 | − | 2.84248i | −0.533097 | − | 0.147774i | ||||
\(371\) | 2.80500 | − | 18.4361i | 0.145628 | − | 0.957153i | ||||
\(372\) | −15.9914 | − | 15.3586i | −0.829113 | − | 0.796306i | ||||
\(373\) | −12.8772 | − | 7.43465i | −0.666756 | − | 0.384952i | 0.128090 | − | 0.991763i | \(-0.459115\pi\) |
−0.794846 | + | 0.606811i | \(0.792449\pi\) | |||||||
\(374\) | −4.20297 | + | 3.55443i | −0.217330 | + | 0.183795i | ||||
\(375\) | −14.1548 | − | 9.65058i | −0.730951 | − | 0.498354i | ||||
\(376\) | 12.4223 | − | 10.1438i | 0.640630 | − | 0.523126i | ||||
\(377\) | 2.53819 | + | 11.1205i | 0.130723 | + | 0.572736i | ||||
\(378\) | 6.79040 | + | 20.0466i | 0.349260 | + | 1.03109i | ||||
\(379\) | −3.59089 | − | 0.819598i | −0.184452 | − | 0.0420999i | 0.129297 | − | 0.991606i | \(-0.458728\pi\) |
−0.313749 | + | 0.949506i | \(0.601585\pi\) | |||||||
\(380\) | −8.64378 | − | 29.8371i | −0.443417 | − | 1.53061i | ||||
\(381\) | 3.68303 | + | 11.9401i | 0.188687 | + | 0.611709i | ||||
\(382\) | 3.38395 | − | 17.0783i | 0.173138 | − | 0.873804i | ||||
\(383\) | 4.46475 | + | 1.37719i | 0.228138 | + | 0.0703713i | 0.406717 | − | 0.913554i | \(-0.366674\pi\) |
−0.178578 | + | 0.983926i | \(0.557150\pi\) | |||||||
\(384\) | −13.3659 | + | 8.67179i | −0.682074 | + | 0.442530i | ||||
\(385\) | 3.38135 | − | 1.62259i | 0.172329 | − | 0.0826946i | ||||
\(386\) | 11.3605 | + | 9.94804i | 0.578235 | + | 0.506342i | ||||
\(387\) | 8.12778 | − | 3.18992i | 0.413158 | − | 0.162153i | ||||
\(388\) | −10.3706 | − | 22.5186i | −0.526487 | − | 1.14321i | ||||
\(389\) | 4.43104 | − | 29.3980i | 0.224663 | − | 1.49054i | −0.537561 | − | 0.843225i | \(-0.680654\pi\) |
0.762223 | − | 0.647314i | \(-0.224108\pi\) | |||||||
\(390\) | 3.57369 | − | 5.58026i | 0.180961 | − | 0.282567i | ||||
\(391\) | −0.712242 | −0.0360196 | ||||||||
\(392\) | −11.0089 | + | 16.4561i | −0.556034 | + | 0.831160i | ||||
\(393\) | −18.6756 | −0.942057 | ||||||||
\(394\) | 6.10531 | − | 9.53335i | 0.307581 | − | 0.480283i | ||||
\(395\) | −1.55093 | + | 10.2898i | −0.0780360 | + | 0.517735i | ||||
\(396\) | 1.40782 | − | 0.648348i | 0.0707454 | − | 0.0325807i | ||||
\(397\) | −4.19835 | + | 1.64773i | −0.210709 | + | 0.0826972i | −0.468348 | − | 0.883544i | \(-0.655151\pi\) |
0.257639 | + | 0.966241i | \(0.417055\pi\) | |||||||
\(398\) | 4.84109 | + | 4.23919i | 0.242662 | + | 0.212491i | ||||
\(399\) | 19.3653 | + | 24.3526i | 0.969476 | + | 1.21916i | ||||
\(400\) | −0.248650 | − | 6.15719i | −0.0124325 | − | 0.307860i | ||||
\(401\) | 2.41053 | + | 0.743551i | 0.120376 | + | 0.0371312i | 0.354358 | − | 0.935110i | \(-0.384699\pi\) |
−0.233982 | + | 0.972241i | \(0.575176\pi\) | |||||||
\(402\) | 3.06555 | − | 15.4714i | 0.152896 | − | 0.771644i | ||||
\(403\) | 4.15094 | + | 13.4570i | 0.206773 | + | 0.670342i | ||||
\(404\) | 1.93134 | − | 0.559509i | 0.0960878 | − | 0.0278366i | ||||
\(405\) | −8.91356 | − | 2.03446i | −0.442919 | − | 0.101093i | ||||
\(406\) | 22.4391 | + | 8.10452i | 1.11363 | + | 0.402221i | ||||
\(407\) | −0.686077 | − | 3.00590i | −0.0340076 | − | 0.148997i | ||||
\(408\) | 12.8660 | + | 15.7559i | 0.636962 | + | 0.780035i | ||||
\(409\) | −2.63591 | − | 1.79713i | −0.130337 | − | 0.0888626i | 0.496396 | − | 0.868096i | \(-0.334656\pi\) |
−0.626734 | + | 0.779233i | \(0.715609\pi\) | |||||||
\(410\) | −7.45432 | + | 6.30407i | −0.368143 | + | 0.311336i | ||||
\(411\) | 23.3316 | + | 13.4705i | 1.15086 | + | 0.664450i | ||||
\(412\) | 6.05830 | − | 6.30789i | 0.298471 | − | 0.310767i | ||||
\(413\) | 12.4259 | − | 18.1712i | 0.611440 | − | 0.894146i | ||||
\(414\) | 0.193265 | + | 0.0535726i | 0.00949844 | + | 0.00263295i | ||||
\(415\) | 14.9945 | − | 10.2231i | 0.736050 | − | 0.501830i | ||||
\(416\) | 10.0953 | − | 0.699230i | 0.494965 | − | 0.0342826i | ||||
\(417\) | 11.4388 | − | 10.6137i | 0.560161 | − | 0.519753i | ||||
\(418\) | 6.41899 | − | 6.30941i | 0.313963 | − | 0.308603i | ||||
\(419\) | −1.82209 | + | 3.78360i | −0.0890147 | + | 0.184841i | −0.940723 | − | 0.339174i | \(-0.889852\pi\) |
0.851709 | + | 0.524015i | \(0.175567\pi\) | |||||||
\(420\) | −5.78022 | − | 12.5972i | −0.282046 | − | 0.614678i | ||||
\(421\) | −9.08934 | − | 18.8742i | −0.442987 | − | 0.919872i | −0.996222 | − | 0.0868469i | \(-0.972321\pi\) |
0.553234 | − | 0.833026i | \(-0.313393\pi\) | |||||||
\(422\) | 13.3186 | + | 4.78947i | 0.648339 | + | 0.233148i | ||||
\(423\) | 2.88280 | + | 4.99316i | 0.140167 | + | 0.242776i | ||||
\(424\) | −1.25967 | + | 19.8960i | −0.0611750 | + | 0.966234i | ||||
\(425\) | −7.77964 | + | 1.17259i | −0.377368 | + | 0.0568791i | ||||
\(426\) | 4.70918 | − | 2.00651i | 0.228161 | − | 0.0972159i | ||||
\(427\) | 5.86999 | − | 18.9366i | 0.284069 | − | 0.916405i | ||||
\(428\) | 33.5521 | − | 4.46777i | 1.62180 | − | 0.215958i | ||||
\(429\) | 1.91464 | + | 0.143483i | 0.0924397 | + | 0.00692740i | ||||
\(430\) | −20.0594 | + | 10.3817i | −0.967349 | + | 0.500652i | ||||
\(431\) | 3.97811 | − | 10.1361i | 0.191619 | − | 0.488237i | −0.802484 | − | 0.596673i | \(-0.796489\pi\) |
0.994103 | + | 0.108436i | \(0.0345842\pi\) | |||||||
\(432\) | −9.10967 | − | 20.7120i | −0.438289 | − | 0.996506i | ||||
\(433\) | −15.6673 | + | 19.6462i | −0.752922 | + | 0.944134i | −0.999689 | − | 0.0249406i | \(-0.992060\pi\) |
0.246767 | + | 0.969075i | \(0.420632\pi\) | |||||||
\(434\) | 28.3740 | + | 7.90771i | 1.36200 | + | 0.379582i | ||||
\(435\) | −13.0576 | + | 10.4131i | −0.626065 | + | 0.499271i | ||||
\(436\) | 22.5397 | − | 20.2029i | 1.07946 | − | 0.967542i | ||||
\(437\) | 1.16138 | − | 0.0870331i | 0.0555561 | − | 0.00416336i | ||||
\(438\) | −0.00555467 | − | 0.192881i | −0.000265412 | − | 0.00921623i | ||||
\(439\) | −15.0169 | − | 13.9337i | −0.716718 | − | 0.665017i | 0.234998 | − | 0.971996i | \(-0.424492\pi\) |
−0.951716 | + | 0.306978i | \(0.900682\pi\) | |||||||
\(440\) | −3.44886 | + | 2.04477i | −0.164418 | + | 0.0974807i | ||||
\(441\) | −5.20423 | − | 4.85580i | −0.247820 | − | 0.231229i | ||||
\(442\) | −2.29259 | − | 12.7149i | −0.109047 | − | 0.604788i | ||||
\(443\) | −13.0667 | + | 14.0825i | −0.620816 | + | 0.669080i | −0.962672 | − | 0.270672i | \(-0.912754\pi\) |
0.341856 | + | 0.939752i | \(0.388945\pi\) | |||||||
\(444\) | −11.1503 | + | 2.34375i | −0.529170 | + | 0.111230i | ||||
\(445\) | −1.43837 | + | 0.107791i | −0.0681852 | + | 0.00510978i | ||||
\(446\) | −11.6296 | − | 18.8671i | −0.550680 | − | 0.893384i | ||||
\(447\) | 14.2527 | + | 17.8723i | 0.674128 | + | 0.845330i | ||||
\(448\) | 10.1818 | − | 18.5562i | 0.481044 | − | 0.876696i | ||||
\(449\) | 3.73037 | − | 4.67774i | 0.176047 | − | 0.220756i | −0.685977 | − | 0.727623i | \(-0.740625\pi\) |
0.862024 | + | 0.506867i | \(0.169196\pi\) | |||||||
\(450\) | 2.19918 | + | 0.266982i | 0.103670 | + | 0.0125856i | ||||
\(451\) | −2.63315 | − | 1.03343i | −0.123990 | − | 0.0486625i | ||||
\(452\) | 22.9070 | − | 17.6311i | 1.07746 | − | 0.829299i | ||||
\(453\) | 26.3501 | + | 1.97466i | 1.23803 | + | 0.0927778i | ||||
\(454\) | 10.5960 | + | 0.487862i | 0.497296 | + | 0.0228965i | ||||
\(455\) | −0.670058 | + | 8.77761i | −0.0314128 | + | 0.411501i | ||||
\(456\) | −22.9045 | − | 24.1193i | −1.07260 | − | 1.12949i | ||||
\(457\) | 13.0047 | − | 1.96014i | 0.608334 | − | 0.0916916i | 0.162351 | − | 0.986733i | \(-0.448092\pi\) |
0.445983 | + | 0.895041i | \(0.352854\pi\) | |||||||
\(458\) | 7.47872 | − | 16.7465i | 0.349458 | − | 0.782515i | ||||
\(459\) | −25.0181 | + | 14.4442i | −1.16775 | + | 0.674199i | ||||
\(460\) | −0.511598 | − | 0.0861446i | −0.0238534 | − | 0.00401651i | ||||
\(461\) | 2.18926 | + | 4.54605i | 0.101964 | + | 0.211731i | 0.945710 | − | 0.325013i | \(-0.105369\pi\) |
−0.843746 | + | 0.536743i | \(0.819654\pi\) | |||||||
\(462\) | 2.41691 | − | 3.20717i | 0.112445 | − | 0.149211i | ||||
\(463\) | 20.5018 | + | 9.87313i | 0.952797 | + | 0.458843i | 0.844666 | − | 0.535294i | \(-0.179799\pi\) |
0.108131 | + | 0.994137i | \(0.465513\pi\) | |||||||
\(464\) | −24.6555 | − | 6.52821i | −1.14460 | − | 0.303065i | ||||
\(465\) | −15.1154 | + | 14.0250i | −0.700958 | + | 0.650394i | ||||
\(466\) | 4.67548 | − | 6.22221i | 0.216587 | − | 0.288238i | ||||
\(467\) | 16.2449 | + | 23.8268i | 0.751722 | + | 1.10257i | 0.991290 | + | 0.131694i | \(0.0420417\pi\) |
−0.239568 | + | 0.970880i | \(0.577006\pi\) | |||||||
\(468\) | −0.334292 | + | 3.62260i | −0.0154526 | + | 0.167455i | ||||
\(469\) | 6.14817 | + | 20.0306i | 0.283896 | + | 0.924929i | ||||
\(470\) | −8.75305 | − | 12.0762i | −0.403748 | − | 0.557034i | ||||
\(471\) | −0.0920738 | + | 0.159476i | −0.00424254 | + | 0.00734829i | ||||
\(472\) | −11.5301 | + | 20.5154i | −0.530717 | + | 0.944297i | ||||
\(473\) | −5.40726 | − | 3.68661i | −0.248626 | − | 0.169511i | ||||
\(474\) | 3.58940 | + | 10.5484i | 0.164866 | + | 0.484502i | ||||
\(475\) | 12.5421 | − | 2.86266i | 0.575473 | − | 0.131348i | ||||
\(476\) | −24.9673 | − | 10.3391i | −1.14437 | − | 0.473893i | ||||
\(477\) | −6.98728 | − | 1.59480i | −0.319925 | − | 0.0730209i | ||||
\(478\) | −1.33754 | − | 12.8657i | −0.0611779 | − | 0.588462i | ||||
\(479\) | −7.67288 | + | 2.36677i | −0.350583 | + | 0.108141i | −0.465045 | − | 0.885287i | \(-0.653962\pi\) |
0.114462 | + | 0.993428i | \(0.463486\pi\) | |||||||
\(480\) | 7.33589 | + | 12.8735i | 0.334836 | + | 0.587592i | ||||
\(481\) | 6.91534 | + | 2.13310i | 0.315312 | + | 0.0972610i | ||||
\(482\) | 4.76368 | − | 8.82848i | 0.216979 | − | 0.402126i | ||||
\(483\) | 0.506764 | − | 0.114925i | 0.0230586 | − | 0.00522926i | ||||
\(484\) | 17.8644 | + | 10.7283i | 0.812018 | + | 0.487651i | ||||
\(485\) | −21.4622 | + | 8.42328i | −0.974546 | + | 0.382481i | ||||
\(486\) | 13.7566 | − | 3.55942i | 0.624012 | − | 0.161458i | ||||
\(487\) | 21.0799 | + | 3.17728i | 0.955221 | + | 0.143976i | 0.608115 | − | 0.793849i | \(-0.291926\pi\) |
0.347107 | + | 0.937826i | \(0.387164\pi\) | |||||||
\(488\) | −4.47678 | + | 20.7161i | −0.202654 | + | 0.937776i | ||||
\(489\) | −25.7953 | −1.16651 | ||||||||
\(490\) | 14.6893 | + | 11.1018i | 0.663595 | + | 0.501529i | ||||
\(491\) | 30.9539i | 1.39693i | 0.715645 | + | 0.698464i | \(0.246133\pi\) | ||||
−0.715645 | + | 0.698464i | \(0.753867\pi\) | |||||||
\(492\) | −3.98603 | + | 9.66359i | −0.179704 | + | 0.435668i | ||||
\(493\) | −4.85331 | + | 32.1996i | −0.218582 | + | 1.45020i | ||||
\(494\) | 5.29199 | + | 20.4527i | 0.238098 | + | 0.920212i | ||||
\(495\) | −0.526606 | − | 1.34177i | −0.0236692 | − | 0.0603081i | ||||
\(496\) | −30.9573 | − | 5.76252i | −1.39002 | − | 0.258745i | ||||
\(497\) | −4.24727 | + | 5.31075i | −0.190516 | + | 0.238220i | ||||
\(498\) | 9.22755 | − | 17.1013i | 0.413496 | − | 0.766329i | ||||
\(499\) | 4.43132 | − | 14.3660i | 0.198373 | − | 0.643109i | −0.800659 | − | 0.599120i | \(-0.795517\pi\) |
0.999032 | − | 0.0439891i | \(-0.0140067\pi\) | |||||||
\(500\) | −24.3267 | − | 0.418924i | −1.08792 | − | 0.0187348i | ||||
\(501\) | 9.47220 | + | 30.7081i | 0.423187 | + | 1.37194i | ||||
\(502\) | −11.5045 | + | 1.19603i | −0.513471 | + | 0.0533816i | ||||
\(503\) | −1.01460 | + | 4.44523i | −0.0452386 | + | 0.198203i | −0.992497 | − | 0.122267i | \(-0.960984\pi\) |
0.947259 | + | 0.320470i | \(0.103841\pi\) | |||||||
\(504\) | 5.99713 | + | 4.68346i | 0.267133 | + | 0.208618i | ||||
\(505\) | −0.416105 | − | 1.82308i | −0.0185164 | − | 0.0811258i | ||||
\(506\) | −0.0484244 | − | 0.142307i | −0.00215273 | − | 0.00632633i | ||||
\(507\) | 7.77418 | − | 11.4026i | 0.345264 | − | 0.506409i | ||||
\(508\) | 13.6816 | + | 11.3015i | 0.607022 | + | 0.501423i | ||||
\(509\) | −37.7567 | − | 21.7988i | −1.67353 | − | 0.966216i | −0.965635 | − | 0.259903i | \(-0.916309\pi\) |
−0.707900 | − | 0.706312i | \(-0.750357\pi\) | |||||||
\(510\) | 15.3170 | − | 11.1020i | 0.678248 | − | 0.491606i | ||||
\(511\) | 0.127864 | + | 0.222179i | 0.00565635 | + | 0.00982861i | ||||
\(512\) | −9.10419 | + | 20.7151i | −0.402352 | + | 0.915485i | ||||
\(513\) | 39.0294 | − | 26.6098i | 1.72319 | − | 1.17485i | ||||
\(514\) | −8.46993 | + | 11.2719i | −0.373593 | + | 0.497183i | ||||
\(515\) | −5.53225 | − | 5.96235i | −0.243780 | − | 0.262732i | ||||
\(516\) | −13.9659 | + | 19.7450i | −0.614815 | + | 0.869225i | ||||
\(517\) | 1.87503 | − | 3.89355i | 0.0824639 | − | 0.171238i | ||||
\(518\) | 11.5713 | − | 9.75820i | 0.508412 | − | 0.428751i | ||||
\(519\) | −21.6145 | + | 10.4090i | −0.948772 | + | 0.456905i | ||||
\(520\) | −0.108895 | − | 9.41033i | −0.00477537 | − | 0.412670i | ||||
\(521\) | 9.39684 | + | 16.2758i | 0.411683 | + | 0.713056i | 0.995074 | − | 0.0991355i | \(-0.0316077\pi\) |
−0.583391 | + | 0.812192i | \(0.698274\pi\) | |||||||
\(522\) | 3.73889 | − | 8.37221i | 0.163647 | − | 0.366442i | ||||
\(523\) | −4.03395 | − | 26.7635i | −0.176392 | − | 1.17029i | −0.885312 | − | 0.464998i | \(-0.846055\pi\) |
0.708919 | − | 0.705290i | \(-0.249183\pi\) | |||||||
\(524\) | −22.1684 | + | 14.5614i | −0.968429 | + | 0.636118i | ||||
\(525\) | 5.34605 | − | 2.08960i | 0.233321 | − | 0.0911978i | ||||
\(526\) | −1.98075 | + | 43.0206i | −0.0863649 | + | 1.87579i | ||||
\(527\) | −3.00439 | + | 40.0908i | −0.130873 | + | 1.74638i | ||||
\(528\) | −2.27333 | + | 3.64188i | −0.0989338 | + | 0.158492i | ||||
\(529\) | −8.39574 | + | 21.3920i | −0.365032 | + | 0.930087i | ||||
\(530\) | 18.4048 | + | 2.23435i | 0.799452 | + | 0.0970538i | ||||
\(531\) | −6.61455 | − | 5.27493i | −0.287047 | − | 0.228913i | ||||
\(532\) | 41.9749 | + | 13.8080i | 1.81984 | + | 0.598653i | ||||
\(533\) | 5.19094 | − | 4.13963i | 0.224844 | − | 0.179307i | ||||
\(534\) | −1.31476 | + | 0.810416i | −0.0568954 | + | 0.0350701i | ||||
\(535\) | −2.35236 | − | 31.3901i | −0.101702 | − | 1.35711i | ||||
\(536\) | −8.42424 | − | 20.7552i | −0.363872 | − | 0.896487i | ||||
\(537\) | 9.50286 | + | 8.81736i | 0.410079 | + | 0.380497i | ||||
\(538\) | −0.285749 | − | 1.58479i | −0.0123195 | − | 0.0683253i | ||||
\(539\) | −0.809801 | + | 5.27319i | −0.0348806 | + | 0.227133i | ||||
\(540\) | −19.7173 | + | 7.34927i | −0.848500 | + | 0.316262i | ||||
\(541\) | −28.3589 | + | 30.5636i | −1.21924 | + | 1.31403i | −0.284515 | + | 0.958672i | \(0.591833\pi\) |
−0.934729 | + | 0.355361i | \(0.884358\pi\) | |||||||
\(542\) | −26.1768 | + | 0.753849i | −1.12439 | + | 0.0323806i | ||||
\(543\) | 0.325158 | + | 4.33894i | 0.0139539 | + | 0.186202i | ||||
\(544\) | 27.5572 | + | 8.67102i | 1.18151 | + | 0.371767i | ||||
\(545\) | −17.5508 | − | 22.0080i | −0.751794 | − | 0.942719i | ||||
\(546\) | 3.68283 | + | 8.67683i | 0.157611 | + | 0.371334i | ||||
\(547\) | 16.2634 | + | 12.9696i | 0.695372 | + | 0.554540i | 0.906131 | − | 0.422998i | \(-0.139022\pi\) |
−0.210759 | + | 0.977538i | \(0.567594\pi\) | |||||||
\(548\) | 38.1982 | − | 2.20191i | 1.63174 | − | 0.0940611i | ||||
\(549\) | −7.09271 | − | 2.78368i | −0.302710 | − | 0.118805i | ||||
\(550\) | −0.763214 | − | 1.47467i | −0.0325436 | − | 0.0628800i | ||||
\(551\) | 3.97911 | − | 53.0975i | 0.169516 | − | 2.26203i | ||||
\(552\) | −0.528900 | + | 0.169871i | −0.0225115 | + | 0.00723018i | ||||
\(553\) | −10.8369 | − | 10.0832i | −0.460830 | − | 0.428781i | ||||
\(554\) | 24.1020 | − | 10.2695i | 1.02400 | − | 0.436310i | ||||
\(555\) | 1.57927 | + | 10.4778i | 0.0670365 | + | 0.444758i | ||||
\(556\) | 5.30264 | − | 21.5176i | 0.224882 | − | 0.912548i | ||||
\(557\) | 23.0033 | − | 13.2810i | 0.974682 | − | 0.562733i | 0.0740217 | − | 0.997257i | \(-0.476417\pi\) |
0.900660 | + | 0.434524i | \(0.143083\pi\) | |||||||
\(558\) | 3.83074 | − | 10.6525i | 0.162168 | − | 0.450958i | ||||
\(559\) | 13.8398 | − | 6.66490i | 0.585361 | − | 0.281895i | ||||
\(560\) | −16.6833 | − | 10.4463i | −0.704999 | − | 0.441436i | ||||
\(561\) | 4.93843 | + | 2.37822i | 0.208501 | + | 0.100409i | ||||
\(562\) | −25.0673 | + | 24.6393i | −1.05740 | + | 1.03935i | ||||
\(563\) | −21.5549 | − | 23.2306i | −0.908429 | − | 0.979054i | 0.0914301 | − | 0.995811i | \(-0.470856\pi\) |
−0.999860 | + | 0.0167574i | \(0.994666\pi\) | |||||||
\(564\) | −14.2672 | − | 7.17590i | −0.600756 | − | 0.302160i | ||||
\(565\) | −15.1434 | − | 22.2114i | −0.637090 | − | 0.934439i | ||||
\(566\) | −1.79617 | + | 6.47974i | −0.0754988 | + | 0.272364i | ||||
\(567\) | 9.54594 | − | 8.83268i | 0.400892 | − | 0.370938i | ||||
\(568\) | 4.02543 | − | 6.05355i | 0.168903 | − | 0.254001i | ||||
\(569\) | 16.4634 | − | 28.5154i | 0.690180 | − | 1.19543i | −0.281599 | − | 0.959532i | \(-0.590865\pi\) |
0.971779 | − | 0.235895i | \(-0.0758020\pi\) | |||||||
\(570\) | −23.6191 | + | 19.9746i | −0.989297 | + | 0.836642i | ||||
\(571\) | −14.7034 | + | 21.5659i | −0.615317 | + | 0.902505i | −0.999787 | − | 0.0206329i | \(-0.993432\pi\) |
0.384470 | + | 0.923138i | \(0.374384\pi\) | |||||||
\(572\) | 2.38460 | − | 1.32254i | 0.0997052 | − | 0.0552980i | ||||
\(573\) | −16.9023 | + | 3.85784i | −0.706104 | + | 0.161164i | ||||
\(574\) | −1.41680 | − | 13.8146i | −0.0591360 | − | 0.576611i | ||||
\(575\) | 0.0478095 | − | 0.209467i | 0.00199379 | − | 0.00873538i | ||||
\(576\) | −6.82536 | − | 4.42563i | −0.284390 | − | 0.184401i | ||||
\(577\) | 30.1149 | − | 9.28920i | 1.25370 | − | 0.386715i | 0.404378 | − | 0.914592i | \(-0.367488\pi\) |
0.849320 | + | 0.527878i | \(0.177012\pi\) | |||||||
\(578\) | 2.49608 | − | 12.5974i | 0.103823 | − | 0.523982i | ||||
\(579\) | 4.43219 | − | 14.3688i | 0.184195 | − | 0.597147i | ||||
\(580\) | −7.38059 | + | 22.5417i | −0.306462 | + | 0.935994i | ||||
\(581\) | −0.0358726 | + | 25.8149i | −0.00148825 | + | 1.07098i | ||||
\(582\) | −16.2638 | + | 18.5730i | −0.674155 | + | 0.769875i | ||||
\(583\) | 1.96257 | + | 5.00054i | 0.0812813 | + | 0.207101i | ||||
\(584\) | −0.156984 | − | 0.224624i | −0.00649605 | − | 0.00929502i | ||||
\(585\) | 3.34547 | + | 0.504249i | 0.138318 | + | 0.0208481i | ||||
\(586\) | −10.1268 | + | 15.8129i | −0.418336 | + | 0.653225i | ||||
\(587\) | 12.0181i | 0.496040i | 0.968755 | + | 0.248020i | \(0.0797799\pi\) | ||||
−0.968755 | + | 0.248020i | \(0.920220\pi\) | |||||||
\(588\) | 19.4327 | + | 3.32771i | 0.801390 | + | 0.137232i | ||||
\(589\) | − | 65.7389i | − | 2.70872i | ||||||
\(590\) | 18.4302 | + | 11.8030i | 0.758758 | + | 0.485921i | ||||
\(591\) | −11.1471 | − | 1.68016i | −0.458531 | − | 0.0691125i | ||||
\(592\) | −11.4083 | + | 11.4760i | −0.468876 | + | 0.471662i | ||||
\(593\) | −3.87293 | − | 9.86806i | −0.159042 | − | 0.405233i | 0.829034 | − | 0.559198i | \(-0.188891\pi\) |
−0.988076 | + | 0.153965i | \(0.950796\pi\) | |||||||
\(594\) | −4.58694 | − | 4.01663i | −0.188204 | − | 0.164804i | ||||
\(595\) | −10.9355 | + | 22.6273i | −0.448311 | + | 0.927627i | ||||
\(596\) | 30.8534 | + | 10.1020i | 1.26380 | + | 0.413793i | ||||
\(597\) | 1.88870 | − | 6.12302i | 0.0772994 | − | 0.250598i | ||||
\(598\) | 0.346102 | + | 0.0685777i | 0.0141532 | + | 0.00280435i | ||||
\(599\) | −36.5004 | + | 11.2589i | −1.49137 | + | 0.460026i | −0.930006 | − | 0.367545i | \(-0.880198\pi\) |
−0.561361 | + | 0.827571i | \(0.689722\pi\) | |||||||
\(600\) | −5.49738 | + | 2.72621i | −0.224430 | + | 0.111297i | ||||
\(601\) | −8.81242 | + | 38.6097i | −0.359466 | + | 1.57492i | 0.395062 | + | 0.918655i | \(0.370723\pi\) |
−0.754528 | + | 0.656268i | \(0.772134\pi\) | |||||||
\(602\) | 3.91638 | − | 31.8895i | 0.159620 | − | 1.29972i | ||||
\(603\) | 7.85083 | − | 1.79190i | 0.319710 | − | 0.0729718i | ||||
\(604\) | 32.8179 | − | 18.2013i | 1.33534 | − | 0.740600i | ||||
\(605\) | 10.9167 | − | 16.0118i | 0.443826 | − | 0.650973i | ||||
\(606\) | −1.29295 | − | 1.52886i | −0.0525223 | − | 0.0621056i | ||||
\(607\) | −7.64832 | + | 13.2473i | −0.310436 | + | 0.537690i | −0.978457 | − | 0.206452i | \(-0.933808\pi\) |
0.668021 | + | 0.744142i | \(0.267142\pi\) | |||||||
\(608\) | −45.9942 | − | 10.7715i | −1.86531 | − | 0.436843i | ||||
\(609\) | −1.74246 | − | 23.6933i | −0.0706081 | − | 0.960101i | ||||
\(610\) | 18.9941 | + | 5.26513i | 0.769047 | + | 0.213179i | ||||
\(611\) | 5.71399 | + | 8.38088i | 0.231163 | + | 0.339054i | ||||
\(612\) | −4.66665 | + | 9.27825i | −0.188638 | + | 0.375051i | ||||
\(613\) | 18.2011 | + | 19.6161i | 0.735137 | + | 0.792289i | 0.984362 | − | 0.176157i | \(-0.0563665\pi\) |
−0.249226 | + | 0.968445i | \(0.580176\pi\) | |||||||
\(614\) | 7.01907 | + | 7.14099i | 0.283267 | + | 0.288187i | ||||
\(615\) | 8.75872 | + | 4.21798i | 0.353186 | + | 0.170085i | ||||
\(616\) | 0.368284 | − | 5.69146i | 0.0148386 | − | 0.229316i | ||||
\(617\) | −3.66784 | + | 1.76634i | −0.147661 | + | 0.0711100i | −0.506255 | − | 0.862384i | \(-0.668971\pi\) |
0.358594 | + | 0.933494i | \(0.383256\pi\) | |||||||
\(618\) | −8.19533 | − | 2.94711i | −0.329665 | − | 0.118550i | ||||
\(619\) | −1.16858 | + | 0.674682i | −0.0469693 | + | 0.0271178i | −0.523301 | − | 0.852148i | \(-0.675300\pi\) |
0.476331 | + | 0.879266i | \(0.341966\pi\) | |||||||
\(620\) | −7.00696 | + | 28.4335i | −0.281406 | + | 1.14192i | ||||
\(621\) | −0.117582 | − | 0.780103i | −0.00471839 | − | 0.0313044i | ||||
\(622\) | 17.0991 | + | 40.1307i | 0.685612 | + | 1.60910i | ||||
\(623\) | 1.02836 | − | 1.77547i | 0.0412004 | − | 0.0711328i | ||||
\(624\) | −4.73498 | − | 8.89514i | −0.189551 | − | 0.356091i | ||||
\(625\) | −1.11527 | + | 14.8822i | −0.0446107 | + | 0.595288i | ||||
\(626\) | 33.3285 | − | 17.2492i | 1.33208 | − | 0.689417i | ||||
\(627\) | −8.34317 | − | 3.27445i | −0.333194 | − | 0.130769i | ||||
\(628\) | 0.0150506 | + | 0.261093i | 0.000600583 | + | 0.0104187i | ||||
\(629\) | 16.1525 | + | 12.8812i | 0.644040 | + | 0.513605i | ||||
\(630\) | 4.66926 | − | 5.31731i | 0.186028 | − | 0.211847i | ||||
\(631\) | 24.1085 | + | 30.2311i | 0.959745 | + | 1.20348i | 0.979040 | + | 0.203669i | \(0.0652866\pi\) |
−0.0192945 | + | 0.999814i | \(0.506142\pi\) | |||||||
\(632\) | 12.4853 | + | 9.72250i | 0.496639 | + | 0.386740i | ||||
\(633\) | −1.05324 | − | 14.0545i | −0.0418625 | − | 0.558616i | ||||
\(634\) | −0.328132 | − | 11.3941i | −0.0130318 | − | 0.452518i | ||||
\(635\) | 11.2250 | − | 12.0976i | 0.445450 | − | 0.480081i | ||||
\(636\) | 18.6016 | − | 6.93341i | 0.737603 | − | 0.274928i | ||||
\(637\) | −9.76858 | − | 7.83470i | −0.387045 | − | 0.310422i | ||||
\(638\) | −6.76352 | + | 1.21951i | −0.267770 | + | 0.0482808i | ||||
\(639\) | 1.91583 | + | 1.77763i | 0.0757891 | + | 0.0703220i | ||||
\(640\) | 18.7454 | + | 9.56134i | 0.740977 | + | 0.377945i | ||||
\(641\) | 0.910719 | + | 12.1527i | 0.0359713 | + | 0.480003i | 0.985878 | + | 0.167468i | \(0.0535591\pi\) |
−0.949906 | + | 0.312535i | \(0.898822\pi\) | |||||||
\(642\) | −17.6861 | − | 28.6926i | −0.698013 | − | 1.13241i | ||||
\(643\) | 12.5805 | − | 10.0326i | 0.496128 | − | 0.395649i | −0.343210 | − | 0.939259i | \(-0.611514\pi\) |
0.839338 | + | 0.543610i | \(0.182943\pi\) | |||||||
\(644\) | 0.511934 | − | 0.531545i | 0.0201730 | − | 0.0209458i | ||||
\(645\) | 17.5846 | + | 14.0232i | 0.692391 | + | 0.552164i | ||||
\(646\) | −7.26845 | + | 59.8717i | −0.285973 | + | 2.35562i | ||||
\(647\) | −10.9579 | + | 27.9204i | −0.430801 | + | 1.09766i | 0.536470 | + | 0.843919i | \(0.319757\pi\) |
−0.967271 | + | 0.253744i | \(0.918338\pi\) | |||||||
\(648\) | −9.33814 | + | 10.3006i | −0.366837 | + | 0.404648i | ||||
\(649\) | −0.473886 | + | 6.32357i | −0.0186017 | + | 0.248222i | ||||
\(650\) | 3.89330 | + | 0.179255i | 0.152708 | + | 0.00703095i | ||||
\(651\) | −4.33128 | − | 29.0096i | −0.169756 | − | 1.13698i | ||||
\(652\) | −30.6197 | + | 20.1127i | −1.19916 | + | 0.787675i | ||||
\(653\) | 1.21179 | + | 8.03969i | 0.0474209 | + | 0.314617i | 0.999948 | + | 0.0101645i | \(0.00323552\pi\) |
−0.952527 | + | 0.304453i | \(0.901526\pi\) | |||||||
\(654\) | −27.5214 | − | 12.2906i | −1.07617 | − | 0.480600i | ||||
\(655\) | 12.3329 | + | 21.3613i | 0.481888 | + | 0.834654i | ||||
\(656\) | 2.80322 | + | 14.5789i | 0.109447 | + | 0.569209i | ||||
\(657\) | 0.0887629 | − | 0.0427459i | 0.00346297 | − | 0.00166768i | ||||
\(658\) | 21.2080 | − | 0.581261i | 0.826773 | − | 0.0226599i | ||||
\(659\) | 6.44111 | − | 13.3751i | 0.250910 | − | 0.521020i | −0.737029 | − | 0.675861i | \(-0.763772\pi\) |
0.987939 | + | 0.154841i | \(0.0494864\pi\) | |||||||
\(660\) | 3.25959 | + | 2.30555i | 0.126879 | + | 0.0897436i | ||||
\(661\) | −25.6785 | − | 27.6749i | −0.998779 | − | 1.07643i | −0.997075 | − | 0.0764295i | \(-0.975648\pi\) |
−0.00170430 | − | 0.999999i | \(-0.500542\pi\) | |||||||
\(662\) | 11.0113 | + | 8.27407i | 0.427966 | + | 0.321581i | ||||
\(663\) | −10.6300 | + | 7.24740i | −0.412834 | + | 0.281466i | ||||
\(664\) | −2.38065 | − | 27.4945i | −0.0923873 | − | 1.06699i | ||||
\(665\) | 15.0663 | − | 38.2321i | 0.584248 | − | 1.48258i | ||||
\(666\) | −3.41404 | − | 4.71020i | −0.132291 | − | 0.182517i | ||||
\(667\) | −0.770131 | − | 0.444635i | −0.0298196 | − | 0.0172163i | ||||
\(668\) | 35.1870 | + | 29.0658i | 1.36143 | + | 1.12459i | ||||
\(669\) | −12.4325 | + | 18.2351i | −0.480667 | + | 0.705009i | ||||
\(670\) | −19.7208 | + | 6.71058i | −0.761879 | + | 0.259252i | ||||
\(671\) | 1.27082 | + | 5.56782i | 0.0490594 | + | 0.214943i | ||||
\(672\) | −21.0063 | − | 1.72294i | −0.810334 | − | 0.0664638i | ||||
\(673\) | 8.02957 | − | 35.1798i | 0.309517 | − | 1.35608i | −0.545773 | − | 0.837933i | \(-0.683764\pi\) |
0.855290 | − | 0.518150i | \(-0.173379\pi\) | |||||||
\(674\) | −0.962377 | − | 9.25697i | −0.0370694 | − | 0.356565i | ||||
\(675\) | −2.56863 | − | 8.32729i | −0.0988666 | − | 0.320518i | ||||
\(676\) | 0.337471 | − | 19.5968i | 0.0129797 | − | 0.753722i | ||||
\(677\) | −14.4148 | + | 46.7317i | −0.554007 | + | 1.79605i | 0.0496060 | + | 0.998769i | \(0.484203\pi\) |
−0.603613 | + | 0.797278i | \(0.706273\pi\) | |||||||
\(678\) | −25.3323 | − | 13.6688i | −0.972879 | − | 0.524947i | ||||
\(679\) | 7.34235 | − | 31.9641i | 0.281773 | − | 1.22667i | ||||
\(680\) | 9.52535 | − | 25.1211i | 0.365281 | − | 0.963351i | ||||
\(681\) | −3.85893 | − | 9.83240i | −0.147875 | − | 0.376778i | ||||
\(682\) | −8.21449 | + | 2.12544i | −0.314549 | + | 0.0813872i | ||||
\(683\) | 0.769230 | − | 5.10351i | 0.0294338 | − | 0.195280i | −0.969282 | − | 0.245954i | \(-0.920899\pi\) |
0.998715 | + | 0.0506738i | \(0.0161369\pi\) | |||||||
\(684\) | 6.47564 | − | 15.6993i | 0.247602 | − | 0.600277i | ||||
\(685\) | − | 35.5825i | − | 1.35954i | ||||||
\(686\) | −24.8303 | + | 8.33394i | −0.948027 | + | 0.318191i | ||||
\(687\) | −18.2633 | −0.696788 | ||||||||
\(688\) | −1.18263 | + | 34.3271i | −0.0450872 | + | 1.30871i | ||||
\(689\) | −12.4680 | − | 1.87925i | −0.474993 | − | 0.0715936i | ||||
\(690\) | 0.129408 | + | 0.500142i | 0.00492648 | + | 0.0190401i | ||||
\(691\) | −18.3938 | + | 7.21905i | −0.699735 | + | 0.274626i | −0.688422 | − | 0.725310i | \(-0.741696\pi\) |
−0.0113128 | + | 0.999936i | \(0.503601\pi\) | |||||||
\(692\) | −17.5410 | + | 29.2087i | −0.666810 | + | 1.11035i | ||||
\(693\) | 1.99833 | + | 0.459028i | 0.0759103 | + | 0.0174370i | ||||
\(694\) | −12.0476 | − | 6.50066i | −0.457321 | − | 0.246762i | ||||
\(695\) | −19.6939 | − | 6.07478i | −0.747034 | − | 0.230429i | ||||
\(696\) | 4.07566 | + | 25.0685i | 0.154487 | + | 0.950217i | ||||
\(697\) | 18.1122 | − | 5.58688i | 0.686049 | − | 0.211618i | ||||
\(698\) | 23.1065 | − | 2.40221i | 0.874596 | − | 0.0909250i | ||||
\(699\) | −7.55593 | − | 1.72459i | −0.285792 | − | 0.0652301i | ||||
\(700\) | 4.71663 | − | 6.64875i | 0.178272 | − | 0.251299i | ||||
\(701\) | 38.4640 | − | 8.77916i | 1.45277 | − | 0.331584i | 0.577963 | − | 0.816063i | \(-0.303848\pi\) |
0.874803 | + | 0.484479i | \(0.160991\pi\) | |||||||
\(702\) | 13.5479 | − | 4.61009i | 0.511333 | − | 0.173997i | ||||
\(703\) | −27.9121 | − | 19.0301i | −1.05272 | − | 0.717735i | ||||
\(704\) | 0.141092 | + | 6.09552i | 0.00531761 | + | 0.229734i | ||||
\(705\) | −7.42595 | + | 12.8621i | −0.279678 | + | 0.484416i | ||||
\(706\) | 6.25563 | − | 4.53419i | 0.235434 | − | 0.170647i | ||||
\(707\) | 2.47475 | + | 0.975238i | 0.0930725 | + | 0.0366776i | ||||
\(708\) | 23.3351 | + | 2.15335i | 0.876988 | + | 0.0809280i | ||||
\(709\) | 16.9658 | + | 24.8842i | 0.637163 | + | 0.934547i | 0.999996 | + | 0.00269297i | \(0.000857199\pi\) |
−0.362833 | + | 0.931854i | \(0.618190\pi\) | |||||||
\(710\) | −5.40491 | − | 4.06135i | −0.202843 | − | 0.152420i | ||||
\(711\) | −4.17025 | + | 3.86942i | −0.156397 | + | 0.145115i | ||||
\(712\) | −0.928772 | + | 1.98711i | −0.0348072 | + | 0.0744702i | ||||
\(713\) | −0.989181 | − | 0.476365i | −0.0370451 | − | 0.0178400i | ||||
\(714\) | 0.737249 | + | 26.8994i | 0.0275909 | + | 1.00668i | ||||
\(715\) | −1.10027 | − | 2.28474i | −0.0411478 | − | 0.0854443i | ||||
\(716\) | 18.1551 | + | 3.05702i | 0.678487 | + | 0.114246i | ||||
\(717\) | −11.1548 | + | 6.44024i | −0.416584 | + | 0.240515i | ||||
\(718\) | 10.5198 | + | 4.69794i | 0.392594 | + | 0.175326i | ||||
\(719\) | −0.509782 | + | 0.0768372i | −0.0190116 | + | 0.00286554i | −0.158541 | − | 0.987352i | \(-0.550679\pi\) |
0.139530 | + | 0.990218i | \(0.455441\pi\) | |||||||
\(720\) | −4.47421 | + | 6.10007i | −0.166744 | + | 0.227336i | ||||
\(721\) | 11.4430 | − | 1.70850i | 0.426161 | − | 0.0636278i | ||||
\(722\) | 3.29996 | − | 71.6729i | 0.122812 | − | 2.66739i | ||||
\(723\) | −9.96146 | − | 0.746509i | −0.370471 | − | 0.0277630i | ||||
\(724\) | 3.76906 | + | 4.89690i | 0.140076 | + | 0.181992i | ||||
\(725\) | −9.14397 | − | 3.58874i | −0.339599 | − | 0.133283i | ||||
\(726\) | 2.50075 | − | 20.5992i | 0.0928116 | − | 0.764508i | ||||
\(727\) | 3.78295 | − | 4.74367i | 0.140302 | − | 0.175933i | −0.706716 | − | 0.707497i | \(-0.749824\pi\) |
0.847018 | + | 0.531564i | \(0.178396\pi\) | |||||||
\(728\) | 11.1370 | + | 7.42810i | 0.412764 | + | 0.275304i | ||||
\(729\) | −18.0167 | − | 22.5922i | −0.667284 | − | 0.836748i | ||||
\(730\) | −0.216951 | + | 0.133728i | −0.00802973 | + | 0.00494950i | ||||
\(731\) | 43.7300 | − | 3.27711i | 1.61741 | − | 0.121208i | ||||
\(732\) | 20.6537 | − | 4.34133i | 0.763382 | − | 0.160460i | ||||
\(733\) | 1.39887 | − | 1.50762i | 0.0516685 | − | 0.0556854i | −0.706689 | − | 0.707525i | \(-0.749812\pi\) |
0.758357 | + | 0.651839i | \(0.226002\pi\) | |||||||
\(734\) | 18.4727 | − | 3.33075i | 0.681839 | − | 0.122940i | ||||
\(735\) | 4.12959 | − | 17.8639i | 0.152322 | − | 0.658921i | ||||
\(736\) | −0.495369 | + | 0.614026i | −0.0182595 | + | 0.0226333i | ||||
\(737\) | −4.42454 | − | 4.10538i | −0.162980 | − | 0.151224i | ||||
\(738\) | −5.33492 | + | 0.153637i | −0.196381 | + | 0.00565546i | ||||
\(739\) | −4.94198 | + | 0.370350i | −0.181794 | + | 0.0136236i | −0.165316 | − | 0.986241i | \(-0.552864\pi\) |
−0.0164779 | + | 0.999864i | \(0.505245\pi\) | |||||||
\(740\) | 10.0442 | + | 11.2060i | 0.369233 | + | 0.411943i | ||||
\(741\) | 16.4476 | − | 13.1165i | 0.604217 | − | 0.481847i | ||||
\(742\) | −17.4015 | + | 19.8167i | −0.638830 | + | 0.727493i | ||||
\(743\) | 2.68870 | − | 3.37152i | 0.0986388 | − | 0.123689i | −0.730062 | − | 0.683381i | \(-0.760509\pi\) |
0.828701 | + | 0.559692i | \(0.189080\pi\) | |||||||
\(744\) | 7.33071 | + | 30.4874i | 0.268757 | + | 1.11772i | ||||
\(745\) | 11.0303 | − | 28.1048i | 0.404120 | − | 1.02968i | ||||
\(746\) | 9.66548 | + | 18.6754i | 0.353878 | + | 0.683756i | ||||
\(747\) | 9.89356 | + | 0.741420i | 0.361987 | + | 0.0271271i | ||||
\(748\) | 7.71635 | − | 1.02750i | 0.282138 | − | 0.0375693i | ||||
\(749\) | 38.7469 | + | 22.4424i | 1.41578 | + | 0.820026i | ||||
\(750\) | 9.49695 | + | 22.2888i | 0.346779 | + | 0.813873i | ||||
\(751\) | 6.26088 | − | 0.943677i | 0.228463 | − | 0.0344352i | −0.0338130 | − | 0.999428i | \(-0.510765\pi\) |
0.262276 | + | 0.964993i | \(0.415527\pi\) | |||||||
\(752\) | −22.5306 | + | 2.60619i | −0.821605 | + | 0.0950379i | ||||
\(753\) | 5.75887 | + | 9.97465i | 0.209865 | + | 0.363497i | ||||
\(754\) | 5.45870 | − | 15.1796i | 0.198794 | − | 0.552808i | ||||
\(755\) | −15.1424 | − | 31.4435i | −0.551088 | − | 1.14435i | ||||
\(756\) | 7.20245 | − | 29.0530i | 0.261951 | − | 1.05665i | ||||
\(757\) | −21.8359 | + | 45.3427i | −0.793639 | + | 1.64801i | −0.0324546 | + | 0.999473i | \(0.510332\pi\) |
−0.761185 | + | 0.648535i | \(0.775382\pi\) | |||||||
\(758\) | 3.65139 | + | 3.71481i | 0.132625 | + | 0.134928i | ||||
\(759\) | −0.109728 | + | 0.101813i | −0.00398289 | + | 0.00369558i | ||||
\(760\) | −12.4623 | + | 42.1263i | −0.452054 | + | 1.52808i | ||||
\(761\) | 38.5196 | − | 26.2622i | 1.39633 | − | 0.952003i | 0.396916 | − | 0.917855i | \(-0.370080\pi\) |
0.999417 | − | 0.0341485i | \(-0.0108719\pi\) | |||||||
\(762\) | 4.72035 | − | 17.0288i | 0.171000 | − | 0.616887i | ||||
\(763\) | 39.9339 | − | 2.93684i | 1.44570 | − | 0.106321i | ||||
\(764\) | −17.0555 | + | 17.7582i | −0.617046 | + | 0.642468i | ||||
\(765\) | 8.36453 | + | 4.82926i | 0.302420 | + | 0.174602i | ||||
\(766\) | −4.26682 | − | 5.04535i | −0.154167 | − | 0.182296i | ||||
\(767\) | −12.2979 | − | 8.38459i | −0.444053 | − | 0.302750i | ||||
\(768\) | 22.5316 | − | 0.133472i | 0.813041 | − | 0.00481626i | ||||
\(769\) | −5.65279 | − | 24.7665i | −0.203845 | − | 0.893102i | −0.968569 | − | 0.248744i | \(-0.919982\pi\) |
0.764724 | − | 0.644357i | \(-0.222875\pi\) | |||||||
\(770\) | −5.26446 | − | 0.646533i | −0.189718 | − | 0.0232994i | ||||
\(771\) | 13.6881 | + | 3.12421i | 0.492963 | + | 0.112516i | ||||
\(772\) | −5.94229 | − | 20.5119i | −0.213868 | − | 0.738240i | ||||
\(773\) | −6.16300 | − | 19.9800i | −0.221668 | − | 0.718629i | −0.996279 | − | 0.0861912i | \(-0.972530\pi\) |
0.774611 | − | 0.632438i | \(-0.217946\pi\) | |||||||
\(774\) | −12.1125 | − | 2.40000i | −0.435375 | − | 0.0862664i | ||||
\(775\) | −11.5889 | − | 3.57469i | −0.416284 | − | 0.128407i | ||||
\(776\) | −4.82406 | + | 34.7275i | −0.173174 | + | 1.24665i | ||||
\(777\) | −13.5710 | − | 6.55871i | −0.486858 | − | 0.235292i | ||||
\(778\) | −27.6986 | + | 31.6314i | −0.993042 | + | 1.13404i | ||||
\(779\) | −28.8510 | + | 11.3232i | −1.03369 | + | 0.405694i | ||||
\(780\) | −8.51200 | + | 3.92007i | −0.304778 | + | 0.140361i | ||||
\(781\) | 0.291960 | − | 1.93703i | 0.0104471 | − | 0.0693122i | ||||
\(782\) | 0.848227 | + | 0.543218i | 0.0303326 | + | 0.0194254i | ||||
\(783\) | −36.0687 | −1.28899 | ||||||||
\(784\) | 25.6617 | − | 11.2017i | 0.916489 | − | 0.400059i | ||||
\(785\) | 0.243214 | 0.00868069 | ||||||||
\(786\) | 22.2412 | + | 14.2436i | 0.793318 | + | 0.508054i | ||||
\(787\) | 1.51759 | − | 10.0685i | 0.0540962 | − | 0.358905i | −0.945363 | − | 0.326020i | \(-0.894292\pi\) |
0.999459 | − | 0.0328851i | \(-0.0104695\pi\) | |||||||
\(788\) | −14.5419 | + | 6.69707i | −0.518035 | + | 0.238573i | ||||
\(789\) | 39.9202 | − | 15.6675i | 1.42120 | − | 0.557779i | ||||
\(790\) | 9.69494 | − | 11.0715i | 0.344931 | − | 0.393906i | ||||
\(791\) | 38.2397 | + | 0.0531382i | 1.35965 | + | 0.00188938i | ||||
\(792\) | −2.17109 | − | 0.301590i | −0.0771464 | − | 0.0107165i | ||||
\(793\) | −12.8093 | − | 3.95114i | −0.454871 | − | 0.140309i | ||||
\(794\) | 6.25663 | + | 1.23971i | 0.222039 | + | 0.0439955i | ||||
\(795\) | −5.44169 | − | 17.6415i | −0.192997 | − | 0.625681i | ||||
\(796\) | −2.53221 | − | 8.74080i | −0.0897517 | − | 0.309810i | ||||
\(797\) | 31.2226 | + | 7.12636i | 1.10596 | + | 0.252429i | 0.736245 | − | 0.676715i | \(-0.236597\pi\) |
0.369718 | + | 0.929144i | \(0.379454\pi\) | |||||||
\(798\) | −4.48915 | − | 43.7719i | −0.158914 | − | 1.54951i | ||||
\(799\) | 6.44362 | + | 28.2314i | 0.227959 | + | 0.998754i | ||||
\(800\) | −4.39990 | + | 7.52241i | −0.155560 | + | 0.265957i | ||||
\(801\) | −0.651531 | − | 0.444206i | −0.0230207 | − | 0.0156953i | ||||
\(802\) | −2.30367 | − | 2.72400i | −0.0813454 | − | 0.0961878i | ||||
\(803\) | −0.0639504 | − | 0.0369218i | −0.00225676 | − | 0.00130294i | ||||
\(804\) | −15.4507 | + | 16.0873i | −0.544904 | + | 0.567354i | ||||
\(805\) | −0.466108 | − | 0.503747i | −0.0164281 | − | 0.0177548i | ||||
\(806\) | 5.32005 | − | 19.1922i | 0.187391 | − | 0.676017i | ||||
\(807\) | −1.32492 | + | 0.903318i | −0.0466396 | + | 0.0317983i | ||||
\(808\) | −2.72682 | − | 0.806678i | −0.0959291 | − | 0.0283788i | ||||
\(809\) | 16.6425 | − | 15.4420i | 0.585118 | − | 0.542911i | −0.331097 | − | 0.943597i | \(-0.607419\pi\) |
0.916215 | + | 0.400686i | \(0.131228\pi\) | |||||||
\(810\) | 9.06374 | + | 9.22117i | 0.318467 | + | 0.323999i | ||||
\(811\) | −23.0719 | + | 47.9092i | −0.810163 | + | 1.68232i | −0.0822910 | + | 0.996608i | \(0.526224\pi\) |
−0.727872 | + | 0.685713i | \(0.759491\pi\) | |||||||
\(812\) | −20.5421 | − | 26.7659i | −0.720887 | − | 0.939301i | ||||
\(813\) | 11.3145 | + | 23.4948i | 0.396817 | + | 0.823999i | ||||
\(814\) | −1.47550 | + | 4.10307i | −0.0517161 | + | 0.143812i | ||||
\(815\) | 17.0347 | + | 29.5049i | 0.596699 | + | 1.03351i | ||||
\(816\) | −3.30559 | − | 28.5769i | −0.115719 | − | 1.00039i | ||||
\(817\) | −70.9054 | + | 10.6873i | −2.48066 | + | 0.373900i | ||||
\(818\) | 1.76852 | + | 4.15063i | 0.0618350 | + | 0.145124i | ||||
\(819\) | −3.27831 | + | 3.52334i | −0.114553 | + | 0.123116i | ||||
\(820\) | 13.6856 | − | 1.82237i | 0.477922 | − | 0.0636397i | ||||
\(821\) | 32.1753 | + | 2.41121i | 1.12293 | + | 0.0841517i | 0.623222 | − | 0.782045i | \(-0.285823\pi\) |
0.499704 | + | 0.866196i | \(0.333442\pi\) | |||||||
\(822\) | −17.5124 | − | 33.8371i | −0.610815 | − | 1.18020i | ||||
\(823\) | 4.18252 | − | 10.6569i | 0.145793 | − | 0.371475i | −0.839259 | − | 0.543732i | \(-0.817011\pi\) |
0.985052 | + | 0.172257i | \(0.0551059\pi\) | |||||||
\(824\) | −12.0259 | + | 2.89164i | −0.418944 | + | 0.100735i | ||||
\(825\) | −1.03092 | + | 1.29273i | −0.0358919 | + | 0.0450071i | ||||
\(826\) | −28.6573 | + | 12.1634i | −0.997116 | + | 0.423220i | ||||
\(827\) | −36.2588 | + | 28.9155i | −1.26084 | + | 1.00549i | −0.261656 | + | 0.965161i | \(0.584269\pi\) |
−0.999187 | + | 0.0403277i | \(0.987160\pi\) | |||||||
\(828\) | −0.189305 | − | 0.211202i | −0.00657879 | − | 0.00733977i | ||||
\(829\) | 51.0719 | − | 3.82731i | 1.77380 | − | 0.132928i | 0.852736 | − | 0.522342i | \(-0.174941\pi\) |
0.921063 | + | 0.389414i | \(0.127322\pi\) | |||||||
\(830\) | −25.6543 | + | 0.738803i | −0.890475 | + | 0.0256442i | ||||
\(831\) | −19.1240 | − | 17.7445i | −0.663406 | − | 0.615551i | ||||
\(832\) | −12.5561 | − | 6.86687i | −0.435305 | − | 0.238066i | ||||
\(833\) | −17.7882 | − | 31.0088i | −0.616324 | − | 1.07439i | ||||
\(834\) | −21.7177 | + | 3.91585i | −0.752022 | + | 0.135595i | ||||
\(835\) | 28.8690 | − | 31.1134i | 0.999052 | − | 1.07672i | ||||
\(836\) | −12.4567 | + | 2.61835i | −0.430823 | + | 0.0905574i | ||||
\(837\) | −44.4066 | + | 3.32781i | −1.53492 | + | 0.115026i | ||||
\(838\) | 5.05568 | − | 3.11631i | 0.174645 | − | 0.107651i | ||||
\(839\) | −32.1642 | − | 40.3327i | −1.11043 | − | 1.39244i | −0.910940 | − | 0.412539i | \(-0.864642\pi\) |
−0.199492 | − | 0.979899i | \(-0.563929\pi\) | |||||||
\(840\) | −2.72388 | + | 19.4108i | −0.0939829 | + | 0.669736i | ||||
\(841\) | −7.26799 | + | 9.11377i | −0.250620 | + | 0.314268i | ||||
\(842\) | −3.57040 | + | 29.4101i | −0.123044 | + | 1.01354i | ||||
\(843\) | 32.5816 | + | 12.7873i | 1.12217 | + | 0.440419i | ||||
\(844\) | −12.2086 | − | 15.8618i | −0.420237 | − | 0.545987i | ||||
\(845\) | −18.1763 | − | 1.36213i | −0.625285 | − | 0.0468586i | ||||
\(846\) | 0.375019 | − | 8.14517i | 0.0128934 | − | 0.280037i | ||||
\(847\) | 10.0355 | + | 25.6748i | 0.344823 | + | 0.882198i | ||||
\(848\) | 16.6746 | − | 22.7339i | 0.572608 | − | 0.780686i | ||||
\(849\) | 6.62095 | − | 0.997948i | 0.227230 | − | 0.0342495i | ||||
\(850\) | 10.1593 | + | 4.53697i | 0.348461 | + | 0.155617i | ||||
\(851\) | −0.488609 | + | 0.282098i | −0.0167493 | + | 0.00967021i | ||||
\(852\) | −7.13864 | − | 1.20203i | −0.244566 | − | 0.0411808i | ||||
\(853\) | −12.9322 | − | 26.8540i | −0.442790 | − | 0.919463i | −0.996245 | − | 0.0865839i | \(-0.972405\pi\) |
0.553454 | − | 0.832880i | \(-0.313309\pi\) | |||||||
\(854\) | −21.4334 | + | 18.0751i | −0.733437 | + | 0.618517i | ||||
\(855\) | −14.2293 | − | 6.85245i | −0.486630 | − | 0.234349i | ||||
\(856\) | −43.3656 | − | 20.2690i | −1.48220 | − | 0.692779i | ||||
\(857\) | 14.9905 | − | 13.9092i | 0.512067 | − | 0.475128i | −0.381303 | − | 0.924450i | \(-0.624525\pi\) |
0.893370 | + | 0.449321i | \(0.148334\pi\) | |||||||
\(858\) | −2.17076 | − | 1.63115i | −0.0741087 | − | 0.0556866i | ||||
\(859\) | 4.10106 | + | 6.01515i | 0.139926 | + | 0.205234i | 0.889805 | − | 0.456341i | \(-0.150840\pi\) |
−0.749878 | + | 0.661576i | \(0.769888\pi\) | |||||||
\(860\) | 31.8073 | + | 2.93516i | 1.08462 | + | 0.100088i | ||||
\(861\) | −11.9855 | + | 6.89762i | −0.408464 | + | 0.235070i | ||||
\(862\) | −12.4683 | + | 9.03726i | −0.424672 | + | 0.307810i | ||||
\(863\) | −15.1295 | + | 26.2051i | −0.515014 | + | 0.892031i | 0.484834 | + | 0.874606i | \(0.338880\pi\) |
−0.999848 | + | 0.0174245i | \(0.994453\pi\) | |||||||
\(864\) | −4.94785 | + | 31.6143i | −0.168329 | + | 1.07554i | ||||
\(865\) | 26.1797 | + | 17.8490i | 0.890136 | + | 0.606884i | ||||
\(866\) | 33.6425 | − | 11.4479i | 1.14322 | − | 0.389015i | ||||
\(867\) | −12.4675 | + | 2.84563i | −0.423419 | + | 0.0966427i | ||||
\(868\) | −27.7603 | − | 31.0580i | −0.942244 | − | 1.05418i | ||||
\(869\) | 4.15710 | + | 0.948831i | 0.141020 | + | 0.0321869i | ||||
\(870\) | 23.4926 | − | 2.44235i | 0.796475 | − | 0.0828034i | ||||
\(871\) | 13.5377 | − | 4.17584i | 0.458709 | − | 0.141493i | ||||
\(872\) | −42.2517 | + | 6.86933i | −1.43082 | + | 0.232625i | ||||
\(873\) | −12.0445 | − | 3.71524i | −0.407645 | − | 0.125742i | ||||
\(874\) | −1.44949 | − | 0.782118i | −0.0490298 | − | 0.0264555i | ||||
\(875\) | −25.1361 | − | 20.1026i | −0.849756 | − | 0.679591i | ||||
\(876\) | −0.140493 | + | 0.233944i | −0.00474683 | + | 0.00790424i | ||||
\(877\) | 50.1199 | − | 19.6706i | 1.69243 | − | 0.664230i | 0.693985 | − | 0.719989i | \(-0.255853\pi\) |
0.998444 | + | 0.0557594i | \(0.0177580\pi\) | |||||||
\(878\) | 7.25700 | + | 28.0472i | 0.244912 | + | 0.946547i | ||||
\(879\) | 18.4897 | + | 2.78687i | 0.623641 | + | 0.0939987i | ||||
\(880\) | 5.66687 | + | 0.195233i | 0.191030 | + | 0.00658131i | ||||
\(881\) | 4.28528 | 0.144375 | 0.0721874 | − | 0.997391i | \(-0.477002\pi\) | ||||
0.0721874 | + | 0.997391i | \(0.477002\pi\) | |||||||
\(882\) | 2.49439 | + | 9.75211i | 0.0839904 | + | 0.328370i | ||||
\(883\) | 15.3063i | 0.515098i | 0.966265 | + | 0.257549i | \(0.0829148\pi\) | ||||
−0.966265 | + | 0.257549i | \(0.917085\pi\) | |||||||
\(884\) | −6.96723 | + | 16.8911i | −0.234333 | + | 0.568109i | ||||
\(885\) | 3.24814 | − | 21.5500i | 0.109185 | − | 0.724395i | ||||
\(886\) | 26.3020 | − | 6.80545i | 0.883633 | − | 0.228633i | ||||
\(887\) | 14.5356 | + | 37.0360i | 0.488057 | + | 1.24355i | 0.936793 | + | 0.349884i | \(0.113779\pi\) |
−0.448736 | + | 0.893664i | \(0.648126\pi\) | |||||||
\(888\) | 15.0667 | + | 5.71297i | 0.505607 | + | 0.191715i | ||||
\(889\) | 5.19195 | + | 22.8940i | 0.174132 | + | 0.767840i | ||||
\(890\) | 1.79520 | + | 0.968656i | 0.0601753 | + | 0.0324694i | ||||
\(891\) | −1.10427 | + | 3.57995i | −0.0369944 | + | 0.119933i | ||||
\(892\) | −0.539683 | + | 31.3392i | −0.0180699 | + | 1.04931i | ||||
\(893\) | −13.9567 | − | 45.2465i | −0.467043 | − | 1.51412i | ||||
\(894\) | −3.34290 | − | 32.1549i | −0.111803 | − | 1.07542i | ||||
\(895\) | 3.80990 | − | 16.6923i | 0.127351 | − | 0.557960i | ||||
\(896\) | −26.2783 | + | 14.3335i | −0.877898 | + | 0.478848i | ||||
\(897\) | −0.0781814 | − | 0.342535i | −0.00261040 | − | 0.0114369i | ||||
\(898\) | −8.01025 | + | 2.72573i | −0.267306 | + | 0.0909588i | ||||
\(899\) | −28.2763 | + | 41.4737i | −0.943067 | + | 1.38323i | ||||
\(900\) | −2.41544 | − | 1.99525i | −0.0805147 | − | 0.0665082i | ||||
\(901\) | −31.1731 | − | 17.9978i | −1.03853 | − | 0.599594i | ||||
\(902\) | 2.34770 | + | 3.23901i | 0.0781697 | + | 0.107847i | ||||
\(903\) | −30.5854 | + | 9.38781i | −1.01782 | + | 0.312407i | ||||
\(904\) | −40.7276 | + | 3.52647i | −1.35458 | + | 0.117289i | ||||
\(905\) | 4.74819 | − | 3.23726i | 0.157835 | − | 0.107610i | ||||
\(906\) | −29.8749 | − | 22.4486i | −0.992529 | − | 0.745804i | ||||
\(907\) | −34.1764 | − | 36.8334i | −1.13481 | − | 1.22303i | −0.971648 | − | 0.236433i | \(-0.924022\pi\) |
−0.163161 | − | 0.986600i | \(-0.552169\pi\) | |||||||
\(908\) | −12.2470 | − | 8.66248i | −0.406431 | − | 0.287474i | ||||
\(909\) | 0.443556 | − | 0.921054i | 0.0147118 | − | 0.0305494i | ||||
\(910\) | 7.49257 | − | 9.94244i | 0.248376 | − | 0.329589i | ||||
\(911\) | −32.7833 | + | 15.7876i | −1.08616 | + | 0.523067i | −0.889281 | − | 0.457361i | \(-0.848795\pi\) |
−0.196878 | + | 0.980428i | \(0.563080\pi\) | |||||||
\(912\) | 8.88205 | + | 46.1934i | 0.294114 | + | 1.52961i | ||||
\(913\) | −3.71817 | − | 6.44007i | −0.123054 | − | 0.213135i | ||||
\(914\) | −16.9826 | − | 7.58415i | −0.561735 | − | 0.250861i | ||||
\(915\) | −2.92529 | − | 19.4080i | −0.0967070 | − | 0.641609i | ||||
\(916\) | −21.6790 | + | 14.2400i | −0.716294 | + | 0.470502i | ||||
\(917\) | −34.9849 | − | 2.67065i | −1.15530 | − | 0.0881926i | ||||
\(918\) | 40.8112 | + | 1.87903i | 1.34697 | + | 0.0620171i | ||||
\(919\) | 0.0812289 | − | 1.08392i | 0.00267949 | − | 0.0357554i | −0.995704 | − | 0.0925958i | \(-0.970484\pi\) |
0.998383 | + | 0.0568404i | \(0.0181026\pi\) | |||||||
\(920\) | 0.543574 | + | 0.492781i | 0.0179211 | + | 0.0162465i | ||||
\(921\) | 3.64276 | − | 9.28159i | 0.120033 | − | 0.305839i | ||||
\(922\) | 0.859969 | − | 7.08374i | 0.0283216 | − | 0.233290i | ||||
\(923\) | 3.59480 | + | 2.86676i | 0.118324 | + | 0.0943605i | ||||
\(924\) | −5.32443 | + | 1.97616i | −0.175161 | + | 0.0650108i | ||||
\(925\) | −4.87253 | + | 3.88571i | −0.160208 | + | 0.127761i | ||||
\(926\) | −16.8860 | − | 27.3946i | −0.554907 | − | 0.900243i | ||||
\(927\) | −0.332293 | − | 4.43414i | −0.0109139 | − | 0.145636i | ||||
\(928\) | 24.3839 | + | 26.5791i | 0.800441 | + | 0.872501i | ||||
\(929\) | −21.5650 | − | 20.0094i | −0.707525 | − | 0.656488i | 0.241965 | − | 0.970285i | \(-0.422208\pi\) |
−0.949490 | + | 0.313797i | \(0.898399\pi\) | |||||||
\(930\) | 28.6980 | − | 5.17444i | 0.941044 | − | 0.169677i | ||||
\(931\) | 32.7944 | + | 48.3890i | 1.07479 | + | 1.58589i | ||||
\(932\) | −10.3138 | + | 3.84426i | −0.337838 | + | 0.125923i | ||||
\(933\) | 29.5452 | − | 31.8422i | 0.967268 | − | 1.04247i | ||||
\(934\) | −1.17399 | − | 40.7658i | −0.0384140 | − | 1.33390i | ||||
\(935\) | −0.541000 | − | 7.21914i | −0.0176926 | − | 0.236091i | ||||
\(936\) | 3.16103 | − | 4.05929i | 0.103322 | − | 0.132682i | ||||
\(937\) | −35.9657 | − | 45.0996i | −1.17495 | − | 1.47334i | −0.849349 | − | 0.527831i | \(-0.823005\pi\) |
−0.325600 | − | 0.945508i | \(-0.605566\pi\) | |||||||
\(938\) | 7.95513 | − | 28.5442i | 0.259744 | − | 0.932000i | ||||
\(939\) | −29.2166 | − | 23.2995i | −0.953449 | − | 0.760350i | ||||
\(940\) | 1.21386 | + | 21.0577i | 0.0395918 | + | 0.686827i | ||||
\(941\) | −20.4253 | − | 8.01632i | −0.665844 | − | 0.261325i | 0.00825434 | − | 0.999966i | \(-0.497373\pi\) |
−0.674099 | + | 0.738641i | \(0.735468\pi\) | |||||||
\(942\) | 0.231284 | − | 0.119701i | 0.00753564 | − | 0.00390008i | ||||
\(943\) | −0.0386820 | + | 0.516175i | −0.00125966 | + | 0.0168090i | ||||
\(944\) | 29.3784 | − | 15.6384i | 0.956184 | − | 0.508987i | ||||
\(945\) | −26.5884 | − | 8.24193i | −0.864922 | − | 0.268110i | ||||
\(946\) | 3.62792 | + | 8.51454i | 0.117954 | + | 0.276832i | ||||
\(947\) | −3.54943 | − | 23.5489i | −0.115341 | − | 0.765237i | −0.969476 | − | 0.245186i | \(-0.921151\pi\) |
0.854135 | − | 0.520051i | \(-0.174087\pi\) | |||||||
\(948\) | 3.77040 | − | 15.2999i | 0.122457 | − | 0.496918i | ||||
\(949\) | 0.150104 | − | 0.0866624i | 0.00487257 | − | 0.00281318i | ||||
\(950\) | −17.1201 | − | 6.15653i | −0.555449 | − | 0.199744i | ||||
\(951\) | −10.2267 | + | 4.92492i | −0.331624 | + | 0.159702i | ||||
\(952\) | 21.8487 | + | 31.3554i | 0.708121 | + | 1.01624i | ||||
\(953\) | 19.2103 | + | 9.25120i | 0.622283 | + | 0.299676i | 0.718332 | − | 0.695701i | \(-0.244906\pi\) |
−0.0960485 | + | 0.995377i | \(0.530620\pi\) | |||||||
\(954\) | 7.10500 | + | 7.22840i | 0.230033 | + | 0.234028i | ||||
\(955\) | 15.5746 | + | 16.7854i | 0.503981 | + | 0.543162i | ||||
\(956\) | −8.21957 | + | 16.3422i | −0.265840 | + | 0.528544i | ||||
\(957\) | 3.85514 | + | 5.65446i | 0.124619 | + | 0.182783i | ||||
\(958\) | 10.9430 | + | 3.03337i | 0.353551 | + | 0.0980037i | ||||
\(959\) | 41.7807 | + | 28.5707i | 1.34917 | + | 0.922596i | ||||
\(960\) | 1.08196 | − | 20.9264i | 0.0349201 | − | 0.675396i | ||||
\(961\) | −15.4863 | + | 26.8231i | −0.499558 | + | 0.865260i | ||||
\(962\) | −6.60878 | − | 7.81462i | −0.213075 | − | 0.251953i | ||||
\(963\) | 9.69410 | − | 14.2186i | 0.312388 | − | 0.458189i | ||||
\(964\) | −12.4066 | + | 6.88087i | −0.399589 | + | 0.221618i | ||||
\(965\) | −19.3621 | + | 4.41927i | −0.623287 | + | 0.142261i | ||||
\(966\) | −0.691170 | − | 0.249636i | −0.0222380 | − | 0.00803190i | ||||
\(967\) | −5.01186 | + | 21.9584i | −0.161171 | + | 0.706135i | 0.828165 | + | 0.560484i | \(0.189385\pi\) |
−0.989336 | + | 0.145651i | \(0.953472\pi\) | |||||||
\(968\) | −13.0928 | − | 26.4016i | −0.420819 | − | 0.848580i | ||||
\(969\) | 57.3889 | − | 17.7021i | 1.84360 | − | 0.568674i | ||||
\(970\) | 31.9842 | + | 6.33743i | 1.02695 | + | 0.203483i | ||||
\(971\) | 11.0948 | − | 35.9685i | 0.356050 | − | 1.15429i | −0.583569 | − | 0.812063i | \(-0.698344\pi\) |
0.939619 | − | 0.342222i | \(-0.111179\pi\) | |||||||
\(972\) | −19.0978 | − | 6.25299i | −0.612563 | − | 0.200565i | ||||
\(973\) | 22.9461 | − | 18.2468i | 0.735617 | − | 0.584965i | ||||
\(974\) | −22.6813 | − | 19.8613i | −0.726757 | − | 0.636397i | ||||
\(975\) | −1.41789 | − | 3.61271i | −0.0454087 | − | 0.115699i | ||||
\(976\) | 21.1315 | − | 21.2570i | 0.676402 | − | 0.680421i | ||||
\(977\) | −25.3727 | − | 3.82431i | −0.811743 | − | 0.122351i | −0.269963 | − | 0.962871i | \(-0.587011\pi\) |
−0.541780 | + | 0.840520i | \(0.682250\pi\) | |||||||
\(978\) | 30.7204 | + | 19.6738i | 0.982329 | + | 0.629099i | ||||
\(979\) | 0.591045i | 0.0188899i | ||||||||
\(980\) | −9.02665 | − | 24.4248i | −0.288346 | − | 0.780222i | ||||
\(981\) | − | 15.3890i | − | 0.491333i | ||||||
\(982\) | 23.6082 | − | 36.8638i | 0.753367 | − | 1.17637i | ||||
\(983\) | −17.5647 | − | 2.64745i | −0.560227 | − | 0.0844406i | −0.137176 | − | 0.990547i | \(-0.543803\pi\) |
−0.423051 | + | 0.906106i | \(0.639041\pi\) | |||||||
\(984\) | 12.1174 | − | 8.46853i | 0.386288 | − | 0.269967i | ||||
\(985\) | 5.43954 | + | 13.8597i | 0.173318 | + | 0.441607i | ||||
\(986\) | 30.3382 | − | 34.6458i | 0.966165 | − | 1.10335i | ||||
\(987\) | −9.13999 | − | 19.0471i | −0.290929 | − | 0.606274i | ||||
\(988\) | 9.29669 | − | 28.3939i | 0.295767 | − | 0.903329i | ||||
\(989\) | −0.352990 | + | 1.14437i | −0.0112244 | + | 0.0363887i | ||||
\(990\) | −0.396203 | + | 1.99959i | −0.0125922 | + | 0.0635510i | ||||
\(991\) | 39.4776 | − | 12.1772i | 1.25405 | − | 0.386822i | 0.404599 | − | 0.914494i | \(-0.367411\pi\) |
0.849448 | + | 0.527672i | \(0.176935\pi\) | |||||||
\(992\) | 32.4729 | + | 30.4735i | 1.03101 | + | 0.967535i | ||||
\(993\) | 3.05197 | − | 13.3715i | 0.0968513 | − | 0.424333i | ||||
\(994\) | 9.10864 | − | 3.08537i | 0.288909 | − | 0.0978621i | ||||
\(995\) | −8.25082 | + | 1.88320i | −0.261568 | + | 0.0597013i | ||||
\(996\) | −24.0323 | + | 13.3287i | −0.761493 | + | 0.422336i | ||||
\(997\) | −18.1250 | + | 26.5845i | −0.574024 | + | 0.841939i | −0.997966 | − | 0.0637507i | \(-0.979694\pi\) |
0.423942 | + | 0.905689i | \(0.360646\pi\) | |||||||
\(998\) | −16.2341 | + | 13.7291i | −0.513883 | + | 0.434587i | ||||
\(999\) | −11.4419 | + | 19.8179i | −0.362005 | + | 0.627012i |
(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 | 392.2.z.a.205.11 | yes | 648 | |
8.5 | even | 2 | inner | 392.2.z.a.205.16 | yes | 648 | |
49.11 | even | 21 | inner | 392.2.z.a.109.16 | yes | 648 | |
392.109 | even | 42 | inner | 392.2.z.a.109.11 | ✓ | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
392.2.z.a.109.11 | ✓ | 648 | 392.109 | even | 42 | inner | |
392.2.z.a.109.16 | yes | 648 | 49.11 | even | 21 | inner | |
392.2.z.a.205.11 | yes | 648 | 1.1 | even | 1 | trivial | |
392.2.z.a.205.16 | yes | 648 | 8.5 | even | 2 | inner |