Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [380,2,Mod(267,380)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(380, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("380.267");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 380 = 2^{2} \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 380.k (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.03431527681\) |
Analytic rank: | \(0\) |
Dimension: | \(52\) |
Relative dimension: | \(26\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 267.15 | ||
Character | \(\chi\) | \(=\) | 380.267 |
Dual form | 380.2.k.d.343.15 |
$q$-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 \(\left(\mathbb{Z}/380\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(77\) | \(191\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.433304 | − | 1.34620i | 0.306392 | − | 0.951905i | ||||
\(3\) | 0.497882 | + | 0.497882i | 0.287453 | + | 0.287453i | 0.836072 | − | 0.548620i | \(-0.184846\pi\) |
−0.548620 | + | 0.836072i | \(0.684846\pi\) | |||||||
\(4\) | −1.62450 | − | 1.16662i | −0.812248 | − | 0.583312i | ||||
\(5\) | −2.01079 | − | 0.978129i | −0.899251 | − | 0.437433i | ||||
\(6\) | 0.885982 | − | 0.454514i | 0.361701 | − | 0.185555i | ||||
\(7\) | −2.91849 | + | 2.91849i | −1.10309 | + | 1.10309i | −0.109049 | + | 0.994036i | \(0.534780\pi\) |
−0.994036 | + | 0.109049i | \(0.965220\pi\) | |||||||
\(8\) | −2.27441 | + | 1.68139i | −0.804124 | + | 0.594461i | ||||
\(9\) | − | 2.50423i | − | 0.834742i | ||||||
\(10\) | −2.18804 | + | 2.28309i | −0.691918 | + | 0.721976i | ||||
\(11\) | − | 3.58797i | − | 1.08182i | −0.841082 | − | 0.540908i | \(-0.818081\pi\) | ||
0.841082 | − | 0.540908i | \(-0.181919\pi\) | |||||||
\(12\) | −0.227966 | − | 1.38965i | −0.0658082 | − | 0.401157i | ||||
\(13\) | −3.29878 | + | 3.29878i | −0.914917 | + | 0.914917i | −0.996654 | − | 0.0817371i | \(-0.973953\pi\) |
0.0817371 | + | 0.996654i | \(0.473953\pi\) | |||||||
\(14\) | 2.66427 | + | 5.19345i | 0.712056 | + | 1.38801i | ||||
\(15\) | −0.514142 | − | 1.48813i | −0.132751 | − | 0.384233i | ||||
\(16\) | 1.27798 | + | 3.79035i | 0.319494 | + | 0.947588i | ||||
\(17\) | −4.60467 | − | 4.60467i | −1.11680 | − | 1.11680i | −0.992208 | − | 0.124589i | \(-0.960239\pi\) |
−0.124589 | − | 0.992208i | \(-0.539761\pi\) | |||||||
\(18\) | −3.37118 | − | 1.08509i | −0.794596 | − | 0.255758i | ||||
\(19\) | −1.00000 | −0.229416 | ||||||||
\(20\) | 2.12541 | + | 3.93480i | 0.475255 | + | 0.879848i | ||||
\(21\) | −2.90613 | −0.634169 | ||||||||
\(22\) | −4.83012 | − | 1.55468i | −1.02979 | − | 0.331459i | ||||
\(23\) | 3.51712 | + | 3.51712i | 0.733370 | + | 0.733370i | 0.971286 | − | 0.237916i | \(-0.0764642\pi\) |
−0.237916 | + | 0.971286i | \(0.576464\pi\) | |||||||
\(24\) | −1.96952 | − | 0.295252i | −0.402027 | − | 0.0602682i | ||||
\(25\) | 3.08653 | + | 3.93362i | 0.617305 | + | 0.786724i | ||||
\(26\) | 3.01144 | + | 5.87018i | 0.590591 | + | 1.15124i | ||||
\(27\) | 2.74046 | − | 2.74046i | 0.527401 | − | 0.527401i | ||||
\(28\) | 8.14585 | − | 1.33629i | 1.53942 | − | 0.252536i | ||||
\(29\) | − | 4.88207i | − | 0.906578i | −0.891364 | − | 0.453289i | \(-0.850251\pi\) | ||
0.891364 | − | 0.453289i | \(-0.149749\pi\) | |||||||
\(30\) | −2.22610 | + | 0.0473253i | −0.406427 | + | 0.00864038i | ||||
\(31\) | − | 1.57175i | − | 0.282295i | −0.989989 | − | 0.141147i | \(-0.954921\pi\) | ||
0.989989 | − | 0.141147i | \(-0.0450791\pi\) | |||||||
\(32\) | 5.65632 | − | 0.0780338i | 0.999905 | − | 0.0137946i | ||||
\(33\) | 1.78639 | − | 1.78639i | 0.310971 | − | 0.310971i | ||||
\(34\) | −8.19402 | + | 4.20358i | −1.40526 | + | 0.720908i | ||||
\(35\) | 8.72312 | − | 3.01380i | 1.47448 | − | 0.509425i | ||||
\(36\) | −2.92149 | + | 4.06811i | −0.486915 | + | 0.678018i | ||||
\(37\) | −5.48286 | − | 5.48286i | −0.901376 | − | 0.901376i | 0.0941788 | − | 0.995555i | \(-0.469977\pi\) |
−0.995555 | + | 0.0941788i | \(0.969977\pi\) | |||||||
\(38\) | −0.433304 | + | 1.34620i | −0.0702911 | + | 0.218382i | ||||
\(39\) | −3.28481 | −0.525990 | ||||||||
\(40\) | 6.21796 | − | 1.15625i | 0.983146 | − | 0.182820i | ||||
\(41\) | −3.69344 | −0.576819 | −0.288409 | − | 0.957507i | \(-0.593126\pi\) | ||||
−0.288409 | + | 0.957507i | \(0.593126\pi\) | |||||||
\(42\) | −1.25924 | + | 3.91222i | −0.194304 | + | 0.603669i | ||||
\(43\) | 4.56114 | + | 4.56114i | 0.695568 | + | 0.695568i | 0.963451 | − | 0.267884i | \(-0.0863242\pi\) |
−0.267884 | + | 0.963451i | \(0.586324\pi\) | |||||||
\(44\) | −4.18582 | + | 5.82865i | −0.631036 | + | 0.878702i | ||||
\(45\) | −2.44946 | + | 5.03546i | −0.365143 | + | 0.750643i | ||||
\(46\) | 6.25872 | − | 3.21076i | 0.922798 | − | 0.473400i | ||||
\(47\) | 1.60126 | − | 1.60126i | 0.233568 | − | 0.233568i | −0.580612 | − | 0.814180i | \(-0.697187\pi\) |
0.814180 | + | 0.580612i | \(0.197187\pi\) | |||||||
\(48\) | −1.25087 | + | 2.52343i | −0.180547 | + | 0.364226i | ||||
\(49\) | − | 10.0352i | − | 1.43359i | ||||||
\(50\) | 6.63283 | − | 2.45062i | 0.938024 | − | 0.346571i | ||||
\(51\) | − | 4.58517i | − | 0.642053i | ||||||
\(52\) | 9.20729 | − | 1.51042i | 1.27682 | − | 0.209457i | ||||
\(53\) | 2.12363 | − | 2.12363i | 0.291703 | − | 0.291703i | −0.546050 | − | 0.837753i | \(-0.683869\pi\) |
0.837753 | + | 0.546050i | \(0.183869\pi\) | |||||||
\(54\) | −2.50175 | − | 4.87665i | −0.340445 | − | 0.663628i | ||||
\(55\) | −3.50950 | + | 7.21465i | −0.473221 | + | 0.972824i | ||||
\(56\) | 1.73071 | − | 11.5450i | 0.231276 | − | 1.54276i | ||||
\(57\) | −0.497882 | − | 0.497882i | −0.0659461 | − | 0.0659461i | ||||
\(58\) | −6.57224 | − | 2.11542i | −0.862977 | − | 0.277768i | ||||
\(59\) | −5.91948 | −0.770651 | −0.385325 | − | 0.922781i | \(-0.625911\pi\) | ||||
−0.385325 | + | 0.922781i | \(0.625911\pi\) | |||||||
\(60\) | −0.900866 | + | 3.01727i | −0.116301 | + | 0.389528i | ||||
\(61\) | 0.536052 | 0.0686345 | 0.0343172 | − | 0.999411i | \(-0.489074\pi\) | ||||
0.0343172 | + | 0.999411i | \(0.489074\pi\) | |||||||
\(62\) | −2.11589 | − | 0.681045i | −0.268718 | − | 0.0864928i | ||||
\(63\) | 7.30856 | + | 7.30856i | 0.920792 | + | 0.920792i | ||||
\(64\) | 2.34585 | − | 7.64833i | 0.293232 | − | 0.956041i | ||||
\(65\) | 9.85977 | − | 3.40651i | 1.22295 | − | 0.422525i | ||||
\(66\) | −1.63078 | − | 3.17888i | −0.200736 | − | 0.391293i | ||||
\(67\) | 1.64255 | − | 1.64255i | 0.200669 | − | 0.200669i | −0.599617 | − | 0.800287i | \(-0.704681\pi\) |
0.800287 | + | 0.599617i | \(0.204681\pi\) | |||||||
\(68\) | 2.10835 | + | 12.8522i | 0.255675 | + | 1.55856i | ||||
\(69\) | 3.50222i | 0.421618i | ||||||||
\(70\) | −0.277412 | − | 13.0489i | −0.0331570 | − | 1.55965i | ||||
\(71\) | 4.08253i | 0.484507i | 0.970213 | + | 0.242254i | \(0.0778866\pi\) | ||||
−0.970213 | + | 0.242254i | \(0.922113\pi\) | |||||||
\(72\) | 4.21058 | + | 5.69563i | 0.496222 | + | 0.671236i | ||||
\(73\) | −0.480968 | + | 0.480968i | −0.0562930 | + | 0.0562930i | −0.734693 | − | 0.678400i | \(-0.762674\pi\) |
0.678400 | + | 0.734693i | \(0.262674\pi\) | |||||||
\(74\) | −9.75675 | + | 5.00527i | −1.13420 | + | 0.581851i | ||||
\(75\) | −0.421752 | + | 3.49521i | −0.0486998 | + | 0.403592i | ||||
\(76\) | 1.62450 | + | 1.16662i | 0.186342 | + | 0.133821i | ||||
\(77\) | 10.4715 | + | 10.4715i | 1.19333 | + | 1.19333i | ||||
\(78\) | −1.42332 | + | 4.42200i | −0.161159 | + | 0.500693i | ||||
\(79\) | 3.35832 | 0.377841 | 0.188920 | − | 0.981992i | \(-0.439501\pi\) | ||||
0.188920 | + | 0.981992i | \(0.439501\pi\) | |||||||
\(80\) | 1.13772 | − | 8.87162i | 0.127201 | − | 0.991877i | ||||
\(81\) | −4.78383 | −0.531536 | ||||||||
\(82\) | −1.60038 | + | 4.97210i | −0.176733 | + | 0.549077i | ||||
\(83\) | −12.4301 | − | 12.4301i | −1.36439 | − | 1.36439i | −0.868238 | − | 0.496147i | \(-0.834748\pi\) |
−0.496147 | − | 0.868238i | \(-0.665252\pi\) | |||||||
\(84\) | 4.72100 | + | 3.39036i | 0.515103 | + | 0.369919i | ||||
\(85\) | 4.75505 | + | 13.7630i | 0.515758 | + | 1.49281i | ||||
\(86\) | 8.11656 | − | 4.16384i | 0.875231 | − | 0.448998i | ||||
\(87\) | 2.43070 | − | 2.43070i | 0.260598 | − | 0.260598i | ||||
\(88\) | 6.03279 | + | 8.16051i | 0.643097 | + | 0.869914i | ||||
\(89\) | 11.9105i | 1.26251i | 0.775575 | + | 0.631256i | \(0.217460\pi\) | ||||
−0.775575 | + | 0.631256i | \(0.782540\pi\) | |||||||
\(90\) | 5.71737 | + | 5.47934i | 0.602664 | + | 0.577573i | ||||
\(91\) | − | 19.2549i | − | 2.01846i | ||||||
\(92\) | −1.61039 | − | 9.81671i | −0.167895 | − | 1.02346i | ||||
\(93\) | 0.782547 | − | 0.782547i | 0.0811463 | − | 0.0811463i | ||||
\(94\) | −1.46178 | − | 2.84945i | −0.150771 | − | 0.293898i | ||||
\(95\) | 2.01079 | + | 0.978129i | 0.206302 | + | 0.100354i | ||||
\(96\) | 2.85503 | + | 2.77733i | 0.291391 | + | 0.283460i | ||||
\(97\) | −6.21450 | − | 6.21450i | −0.630986 | − | 0.630986i | 0.317329 | − | 0.948316i | \(-0.397214\pi\) |
−0.948316 | + | 0.317329i | \(0.897214\pi\) | |||||||
\(98\) | −13.5093 | − | 4.34827i | −1.36465 | − | 0.439241i | ||||
\(99\) | −8.98510 | −0.903037 | ||||||||
\(100\) | −0.424995 | − | 9.99096i | −0.0424995 | − | 0.999096i | ||||
\(101\) | 2.22532 | 0.221427 | 0.110714 | − | 0.993852i | \(-0.464686\pi\) | ||||
0.110714 | + | 0.993852i | \(0.464686\pi\) | |||||||
\(102\) | −6.17255 | − | 1.98677i | −0.611173 | − | 0.196720i | ||||
\(103\) | −7.89357 | − | 7.89357i | −0.777777 | − | 0.777777i | 0.201676 | − | 0.979452i | \(-0.435361\pi\) |
−0.979452 | + | 0.201676i | \(0.935361\pi\) | |||||||
\(104\) | 1.95623 | − | 13.0493i | 0.191824 | − | 1.27959i | ||||
\(105\) | 5.84361 | + | 2.84257i | 0.570278 | + | 0.277406i | ||||
\(106\) | −1.93865 | − | 3.77900i | −0.188298 | − | 0.367049i | ||||
\(107\) | −4.37844 | + | 4.37844i | −0.423280 | + | 0.423280i | −0.886331 | − | 0.463052i | \(-0.846754\pi\) |
0.463052 | + | 0.886331i | \(0.346754\pi\) | |||||||
\(108\) | −7.64895 | + | 1.25478i | −0.736020 | + | 0.120741i | ||||
\(109\) | − | 10.5140i | − | 1.00706i | −0.863978 | − | 0.503530i | \(-0.832034\pi\) | ||
0.863978 | − | 0.503530i | \(-0.167966\pi\) | |||||||
\(110\) | 8.19167 | + | 7.85062i | 0.781045 | + | 0.748527i | ||||
\(111\) | − | 5.45964i | − | 0.518206i | ||||||
\(112\) | −14.7919 | − | 7.33235i | −1.39770 | − | 0.692842i | ||||
\(113\) | 9.63168 | − | 9.63168i | 0.906072 | − | 0.906072i | −0.0898805 | − | 0.995953i | \(-0.528649\pi\) |
0.995953 | + | 0.0898805i | \(0.0286485\pi\) | |||||||
\(114\) | −0.885982 | + | 0.454514i | −0.0829799 | + | 0.0425691i | ||||
\(115\) | −3.63198 | − | 10.5124i | −0.338684 | − | 0.980284i | ||||
\(116\) | −5.69555 | + | 7.93091i | −0.528818 | + | 0.736366i | ||||
\(117\) | 8.26089 | + | 8.26089i | 0.763720 | + | 0.763720i | ||||
\(118\) | −2.56493 | + | 7.96879i | −0.236121 | + | 0.733587i | ||||
\(119\) | 26.8774 | 2.46385 | ||||||||
\(120\) | 3.67149 | + | 2.52014i | 0.335160 | + | 0.230056i | ||||
\(121\) | −1.87356 | −0.170324 | ||||||||
\(122\) | 0.232273 | − | 0.721632i | 0.0210290 | − | 0.0653335i | ||||
\(123\) | −1.83890 | − | 1.83890i | −0.165808 | − | 0.165808i | ||||
\(124\) | −1.83364 | + | 2.55330i | −0.164666 | + | 0.229293i | ||||
\(125\) | −2.35876 | − | 10.9287i | −0.210974 | − | 0.977492i | ||||
\(126\) | 13.0056 | − | 6.67194i | 1.15863 | − | 0.594383i | ||||
\(127\) | −12.4921 | + | 12.4921i | −1.10850 | + | 1.10850i | −0.115151 | + | 0.993348i | \(0.536735\pi\) |
−0.993348 | + | 0.115151i | \(0.963265\pi\) | |||||||
\(128\) | −9.27970 | − | 6.47203i | −0.820217 | − | 0.572052i | ||||
\(129\) | 4.54183i | 0.399886i | ||||||||
\(130\) | −0.313560 | − | 14.7493i | −0.0275010 | − | 1.29360i | ||||
\(131\) | 6.66390i | 0.582227i | 0.956688 | + | 0.291114i | \(0.0940258\pi\) | ||||
−0.956688 | + | 0.291114i | \(0.905974\pi\) | |||||||
\(132\) | −4.98603 | + | 0.817937i | −0.433978 | + | 0.0711923i | ||||
\(133\) | 2.91849 | − | 2.91849i | 0.253065 | − | 0.253065i | ||||
\(134\) | −1.49947 | − | 2.92292i | −0.129535 | − | 0.252502i | ||||
\(135\) | −8.19100 | + | 2.82995i | −0.704969 | + | 0.243564i | ||||
\(136\) | 18.2152 | + | 2.73065i | 1.56194 | + | 0.234151i | ||||
\(137\) | 6.64153 | + | 6.64153i | 0.567424 | + | 0.567424i | 0.931406 | − | 0.363982i | \(-0.118583\pi\) |
−0.363982 | + | 0.931406i | \(0.618583\pi\) | |||||||
\(138\) | 4.71469 | + | 1.51753i | 0.401341 | + | 0.129180i | ||||
\(139\) | −6.81147 | −0.577741 | −0.288871 | − | 0.957368i | \(-0.593280\pi\) | ||||
−0.288871 | + | 0.957368i | \(0.593280\pi\) | |||||||
\(140\) | −17.6866 | − | 5.28070i | −1.49479 | − | 0.446300i | ||||
\(141\) | 1.59448 | 0.134280 | ||||||||
\(142\) | 5.49589 | + | 1.76897i | 0.461205 | + | 0.148449i | ||||
\(143\) | 11.8359 | + | 11.8359i | 0.989771 | + | 0.989771i | ||||
\(144\) | 9.49190 | − | 3.20034i | 0.790992 | − | 0.266695i | ||||
\(145\) | −4.77530 | + | 9.81681i | −0.396567 | + | 0.815241i | ||||
\(146\) | 0.439072 | + | 0.855882i | 0.0363379 | + | 0.0708333i | ||||
\(147\) | 4.99633 | − | 4.99633i | 0.412090 | − | 0.412090i | ||||
\(148\) | 2.51045 | + | 15.3033i | 0.206357 | + | 1.25793i | ||||
\(149\) | − | 19.0682i | − | 1.56212i | −0.624453 | − | 0.781062i | \(-0.714678\pi\) | ||
0.624453 | − | 0.781062i | \(-0.285322\pi\) | |||||||
\(150\) | 4.52249 | + | 2.08225i | 0.369260 | + | 0.170015i | ||||
\(151\) | 6.08117i | 0.494879i | 0.968903 | + | 0.247439i | \(0.0795891\pi\) | ||||
−0.968903 | + | 0.247439i | \(0.920411\pi\) | |||||||
\(152\) | 2.27441 | − | 1.68139i | 0.184479 | − | 0.136379i | ||||
\(153\) | −11.5311 | + | 11.5311i | −0.932238 | + | 0.932238i | ||||
\(154\) | 18.6340 | − | 9.55934i | 1.50157 | − | 0.770313i | ||||
\(155\) | −1.53737 | + | 3.16045i | −0.123485 | + | 0.253854i | ||||
\(156\) | 5.33616 | + | 3.83214i | 0.427235 | + | 0.306817i | ||||
\(157\) | 7.46797 | + | 7.46797i | 0.596009 | + | 0.596009i | 0.939248 | − | 0.343239i | \(-0.111524\pi\) |
−0.343239 | + | 0.939248i | \(0.611524\pi\) | |||||||
\(158\) | 1.45517 | − | 4.52096i | 0.115767 | − | 0.359668i | ||||
\(159\) | 2.11464 | 0.167702 | ||||||||
\(160\) | −11.4500 | − | 5.37570i | −0.905200 | − | 0.424986i | ||||
\(161\) | −20.5294 | −1.61794 | ||||||||
\(162\) | −2.07285 | + | 6.43998i | −0.162858 | + | 0.505972i | ||||
\(163\) | 10.0388 | + | 10.0388i | 0.786297 | + | 0.786297i | 0.980885 | − | 0.194588i | \(-0.0623370\pi\) |
−0.194588 | + | 0.980885i | \(0.562337\pi\) | |||||||
\(164\) | 5.99998 | + | 4.30886i | 0.468520 | + | 0.336466i | ||||
\(165\) | −5.33937 | + | 1.84473i | −0.415669 | + | 0.143612i | ||||
\(166\) | −22.1195 | + | 11.3474i | −1.71680 | + | 0.880730i | ||||
\(167\) | −16.5343 | + | 16.5343i | −1.27946 | + | 1.27946i | −0.338497 | + | 0.940968i | \(0.609918\pi\) |
−0.940968 | + | 0.338497i | \(0.890082\pi\) | |||||||
\(168\) | 6.60972 | − | 4.88634i | 0.509951 | − | 0.376989i | ||||
\(169\) | − | 8.76389i | − | 0.674146i | ||||||
\(170\) | 20.5881 | − | 0.437689i | 1.57903 | − | 0.0335692i | ||||
\(171\) | 2.50423i | 0.191503i | ||||||||
\(172\) | −2.08842 | − | 12.7307i | −0.159240 | − | 0.970707i | ||||
\(173\) | 5.32723 | − | 5.32723i | 0.405022 | − | 0.405022i | −0.474977 | − | 0.879998i | \(-0.657543\pi\) |
0.879998 | + | 0.474977i | \(0.157543\pi\) | |||||||
\(174\) | −2.21897 | − | 4.32543i | −0.168220 | − | 0.327910i | ||||
\(175\) | −20.4882 | − | 2.47223i | −1.54876 | − | 0.186883i | ||||
\(176\) | 13.5997 | − | 4.58534i | 1.02512 | − | 0.345633i | ||||
\(177\) | −2.94721 | − | 2.94721i | −0.221526 | − | 0.221526i | ||||
\(178\) | 16.0339 | + | 5.16086i | 1.20179 | + | 0.386823i | ||||
\(179\) | 13.0819 | 0.977785 | 0.488893 | − | 0.872344i | \(-0.337401\pi\) | ||||
0.488893 | + | 0.872344i | \(0.337401\pi\) | |||||||
\(180\) | 9.85363 | − | 5.32250i | 0.734446 | − | 0.396715i | ||||
\(181\) | −17.1592 | −1.27543 | −0.637717 | − | 0.770271i | \(-0.720121\pi\) | ||||
−0.637717 | + | 0.770271i | \(0.720121\pi\) | |||||||
\(182\) | −25.9209 | − | 8.34322i | −1.92139 | − | 0.618440i | ||||
\(183\) | 0.266891 | + | 0.266891i | 0.0197292 | + | 0.0197292i | ||||
\(184\) | −13.9130 | − | 2.08571i | −1.02568 | − | 0.153761i | ||||
\(185\) | 5.66192 | + | 16.3878i | 0.416272 | + | 1.20486i | ||||
\(186\) | −0.714382 | − | 1.39254i | −0.0523811 | − | 0.102106i | ||||
\(187\) | −16.5215 | + | 16.5215i | −1.20817 | + | 1.20817i | ||||
\(188\) | −4.46932 | + | 0.733173i | −0.325958 | + | 0.0534721i | ||||
\(189\) | 15.9960i | 1.16354i | ||||||||
\(190\) | 2.18804 | − | 2.28309i | 0.158737 | − | 0.165633i | ||||
\(191\) | 15.3156i | 1.10820i | 0.832451 | + | 0.554098i | \(0.186937\pi\) | ||||
−0.832451 | + | 0.554098i | \(0.813063\pi\) | |||||||
\(192\) | 4.97593 | − | 2.64001i | 0.359107 | − | 0.190526i | ||||
\(193\) | −12.7493 | + | 12.7493i | −0.917717 | + | 0.917717i | −0.996863 | − | 0.0791463i | \(-0.974781\pi\) |
0.0791463 | + | 0.996863i | \(0.474781\pi\) | |||||||
\(194\) | −11.0587 | + | 5.67318i | −0.793969 | + | 0.407310i | ||||
\(195\) | 6.60505 | + | 3.21297i | 0.472997 | + | 0.230085i | ||||
\(196\) | −11.7073 | + | 16.3021i | −0.836233 | + | 1.16443i | ||||
\(197\) | 9.97667 | + | 9.97667i | 0.710808 | + | 0.710808i | 0.966704 | − | 0.255896i | \(-0.0823705\pi\) |
−0.255896 | + | 0.966704i | \(0.582370\pi\) | |||||||
\(198\) | −3.89328 | + | 12.0957i | −0.276683 | + | 0.859605i | ||||
\(199\) | 4.22544 | 0.299533 | 0.149767 | − | 0.988721i | \(-0.452148\pi\) | ||||
0.149767 | + | 0.988721i | \(0.452148\pi\) | |||||||
\(200\) | −13.6340 | − | 3.75699i | −0.964067 | − | 0.265660i | ||||
\(201\) | 1.63559 | 0.115366 | ||||||||
\(202\) | 0.964238 | − | 2.99572i | 0.0678436 | − | 0.210778i | ||||
\(203\) | 14.2483 | + | 14.2483i | 1.00003 | + | 1.00003i | ||||
\(204\) | −5.34917 | + | 7.44860i | −0.374517 | + | 0.521506i | ||||
\(205\) | 7.42673 | + | 3.61267i | 0.518705 | + | 0.252319i | ||||
\(206\) | −14.0466 | + | 7.20600i | −0.978675 | + | 0.502066i | ||||
\(207\) | 8.80766 | − | 8.80766i | 0.612175 | − | 0.612175i | ||||
\(208\) | −16.7193 | − | 8.28778i | −1.15927 | − | 0.574654i | ||||
\(209\) | 3.58797i | 0.248185i | ||||||||
\(210\) | 6.35872 | − | 6.63495i | 0.438793 | − | 0.457855i | ||||
\(211\) | − | 12.8281i | − | 0.883120i | −0.897232 | − | 0.441560i | \(-0.854425\pi\) | ||
0.897232 | − | 0.441560i | \(-0.145575\pi\) | |||||||
\(212\) | −5.92731 | + | 0.972350i | −0.407089 | + | 0.0667813i | ||||
\(213\) | −2.03262 | + | 2.03262i | −0.139273 | + | 0.139273i | ||||
\(214\) | 3.99705 | + | 7.79144i | 0.273233 | + | 0.532612i | ||||
\(215\) | −4.71010 | − | 13.6329i | −0.321226 | − | 0.929754i | ||||
\(216\) | −1.62514 | + | 10.8407i | −0.110577 | + | 0.737616i | ||||
\(217\) | 4.58714 | + | 4.58714i | 0.311395 | + | 0.311395i | ||||
\(218\) | −14.1540 | − | 4.55576i | −0.958627 | − | 0.308555i | ||||
\(219\) | −0.478931 | −0.0323631 | ||||||||
\(220\) | 14.1180 | − | 7.62590i | 0.951833 | − | 0.514138i | ||||
\(221\) | 30.3796 | 2.04355 | ||||||||
\(222\) | −7.34975 | − | 2.36568i | −0.493283 | − | 0.158774i | ||||
\(223\) | −13.4531 | − | 13.4531i | −0.900887 | − | 0.900887i | 0.0946261 | − | 0.995513i | \(-0.469834\pi\) |
−0.995513 | + | 0.0946261i | \(0.969834\pi\) | |||||||
\(224\) | −16.2802 | + | 16.7356i | −1.08776 | + | 1.11820i | ||||
\(225\) | 9.85067 | − | 7.72936i | 0.656711 | − | 0.515291i | ||||
\(226\) | −8.79270 | − | 17.1396i | −0.584882 | − | 1.14011i | ||||
\(227\) | 14.9994 | − | 14.9994i | 0.995546 | − | 0.995546i | −0.00444394 | − | 0.999990i | \(-0.501415\pi\) |
0.999990 | + | 0.00444394i | \(0.00141456\pi\) | |||||||
\(228\) | 0.227966 | + | 1.38965i | 0.0150974 | + | 0.0920318i | ||||
\(229\) | − | 21.4928i | − | 1.42028i | −0.704059 | − | 0.710141i | \(-0.748631\pi\) | ||
0.704059 | − | 0.710141i | \(-0.251369\pi\) | |||||||
\(230\) | −15.7255 | + | 0.334314i | −1.03691 | + | 0.0220440i | ||||
\(231\) | 10.4271i | 0.686054i | ||||||||
\(232\) | 8.20867 | + | 11.1038i | 0.538926 | + | 0.729001i | ||||
\(233\) | −1.81711 | + | 1.81711i | −0.119043 | + | 0.119043i | −0.764119 | − | 0.645076i | \(-0.776826\pi\) |
0.645076 | + | 0.764119i | \(0.276826\pi\) | |||||||
\(234\) | 14.7003 | − | 7.54132i | 0.960986 | − | 0.492991i | ||||
\(235\) | −4.78604 | + | 1.65356i | −0.312207 | + | 0.107866i | ||||
\(236\) | 9.61617 | + | 6.90581i | 0.625960 | + | 0.449530i | ||||
\(237\) | 1.67205 | + | 1.67205i | 0.108611 | + | 0.108611i | ||||
\(238\) | 11.6461 | − | 36.1823i | 0.754902 | − | 2.34535i | ||||
\(239\) | −22.8925 | −1.48079 | −0.740396 | − | 0.672171i | \(-0.765362\pi\) | ||||
−0.740396 | + | 0.672171i | \(0.765362\pi\) | |||||||
\(240\) | 4.98347 | − | 3.85057i | 0.321682 | − | 0.248553i | ||||
\(241\) | 14.0297 | 0.903729 | 0.451865 | − | 0.892086i | \(-0.350759\pi\) | ||||
0.451865 | + | 0.892086i | \(0.350759\pi\) | |||||||
\(242\) | −0.811822 | + | 2.52219i | −0.0521859 | + | 0.162132i | ||||
\(243\) | −10.6032 | − | 10.6032i | −0.680193 | − | 0.680193i | ||||
\(244\) | −0.870815 | − | 0.625372i | −0.0557482 | − | 0.0400353i | ||||
\(245\) | −9.81568 | + | 20.1786i | −0.627101 | + | 1.28916i | ||||
\(246\) | −3.27233 | + | 1.67872i | −0.208636 | + | 0.107031i | ||||
\(247\) | 3.29878 | − | 3.29878i | 0.209896 | − | 0.209896i | ||||
\(248\) | 2.64273 | + | 3.57480i | 0.167813 | + | 0.227000i | ||||
\(249\) | − | 12.3775i | − | 0.784392i | ||||||
\(250\) | −15.7342 | − | 1.56008i | −0.995120 | − | 0.0986684i | ||||
\(251\) | − | 5.28898i | − | 0.333838i | −0.985971 | − | 0.166919i | \(-0.946618\pi\) | ||
0.985971 | − | 0.166919i | \(-0.0533818\pi\) | |||||||
\(252\) | −3.34638 | − | 20.3991i | −0.210802 | − | 1.28502i | ||||
\(253\) | 12.6193 | − | 12.6193i | 0.793371 | − | 0.793371i | ||||
\(254\) | 11.4040 | + | 22.2298i | 0.715551 | + | 1.39482i | ||||
\(255\) | −4.48489 | + | 9.21980i | −0.280855 | + | 0.577367i | ||||
\(256\) | −12.7336 | + | 9.68796i | −0.795847 | + | 0.605497i | ||||
\(257\) | −14.1338 | − | 14.1338i | −0.881643 | − | 0.881643i | 0.112058 | − | 0.993702i | \(-0.464256\pi\) |
−0.993702 | + | 0.112058i | \(0.964256\pi\) | |||||||
\(258\) | 6.11420 | + | 1.96799i | 0.380653 | + | 0.122522i | ||||
\(259\) | 32.0033 | 1.98859 | ||||||||
\(260\) | −19.9913 | − | 5.96879i | −1.23981 | − | 0.370169i | ||||
\(261\) | −12.2258 | −0.756759 | ||||||||
\(262\) | 8.97092 | + | 2.88749i | 0.554225 | + | 0.178390i | ||||
\(263\) | 13.3767 | + | 13.3767i | 0.824840 | + | 0.824840i | 0.986798 | − | 0.161958i | \(-0.0517809\pi\) |
−0.161958 | + | 0.986798i | \(0.551781\pi\) | |||||||
\(264\) | −1.05936 | + | 7.06660i | −0.0651990 | + | 0.434919i | ||||
\(265\) | −6.34735 | + | 2.19298i | −0.389915 | + | 0.134714i | ||||
\(266\) | −2.66427 | − | 5.19345i | −0.163357 | − | 0.318431i | ||||
\(267\) | −5.93003 | + | 5.93003i | −0.362912 | + | 0.362912i | ||||
\(268\) | −4.58455 | + | 0.752077i | −0.280046 | + | 0.0459404i | ||||
\(269\) | 19.2906i | 1.17617i | 0.808801 | + | 0.588083i | \(0.200117\pi\) | ||||
−0.808801 | + | 0.588083i | \(0.799883\pi\) | |||||||
\(270\) | 0.260489 | + | 12.2529i | 0.0158529 | + | 0.745690i | ||||
\(271\) | 15.6415i | 0.950152i | 0.879945 | + | 0.475076i | \(0.157579\pi\) | ||||
−0.879945 | + | 0.475076i | \(0.842421\pi\) | |||||||
\(272\) | 11.5687 | − | 23.3380i | 0.701454 | − | 1.41507i | ||||
\(273\) | 9.58668 | − | 9.58668i | 0.580212 | − | 0.580212i | ||||
\(274\) | 11.8186 | − | 6.06301i | 0.713988 | − | 0.366280i | ||||
\(275\) | 14.1137 | − | 11.0744i | 0.851090 | − | 0.667810i | ||||
\(276\) | 4.08578 | − | 5.68935i | 0.245935 | − | 0.342459i | ||||
\(277\) | −9.49242 | − | 9.49242i | −0.570345 | − | 0.570345i | 0.361880 | − | 0.932225i | \(-0.382135\pi\) |
−0.932225 | + | 0.361880i | \(0.882135\pi\) | |||||||
\(278\) | −2.95143 | + | 9.16958i | −0.177015 | + | 0.549955i | ||||
\(279\) | −3.93602 | −0.235643 | ||||||||
\(280\) | −14.7725 | + | 21.5216i | −0.882828 | + | 1.28616i | ||||
\(281\) | −6.05636 | −0.361292 | −0.180646 | − | 0.983548i | \(-0.557819\pi\) | ||||
−0.180646 | + | 0.983548i | \(0.557819\pi\) | |||||||
\(282\) | 0.690894 | − | 2.14649i | 0.0411422 | − | 0.127821i | ||||
\(283\) | −9.20805 | − | 9.20805i | −0.547362 | − | 0.547362i | 0.378315 | − | 0.925677i | \(-0.376504\pi\) |
−0.925677 | + | 0.378315i | \(0.876504\pi\) | |||||||
\(284\) | 4.76278 | − | 6.63205i | 0.282619 | − | 0.393540i | ||||
\(285\) | 0.514142 | + | 1.48813i | 0.0304551 | + | 0.0881491i | ||||
\(286\) | 21.0621 | − | 10.8050i | 1.24543 | − | 0.638911i | ||||
\(287\) | 10.7793 | − | 10.7793i | 0.636280 | − | 0.636280i | ||||
\(288\) | −0.195414 | − | 14.1647i | −0.0115149 | − | 0.834663i | ||||
\(289\) | 25.4060i | 1.49447i | ||||||||
\(290\) | 11.1462 | + | 10.6822i | 0.654528 | + | 0.627278i | ||||
\(291\) | − | 6.18818i | − | 0.362757i | ||||||
\(292\) | 1.34244 | − | 0.220221i | 0.0785603 | − | 0.0128875i | ||||
\(293\) | 8.60824 | − | 8.60824i | 0.502899 | − | 0.502899i | −0.409439 | − | 0.912338i | \(-0.634276\pi\) |
0.912338 | + | 0.409439i | \(0.134276\pi\) | |||||||
\(294\) | −4.56112 | − | 8.89097i | −0.266010 | − | 0.518532i | ||||
\(295\) | 11.9028 | + | 5.79002i | 0.693009 | + | 0.337108i | ||||
\(296\) | 21.6891 | + | 3.25143i | 1.26065 | + | 0.188985i | ||||
\(297\) | −9.83269 | − | 9.83269i | −0.570551 | − | 0.570551i | ||||
\(298\) | −25.6695 | − | 8.26230i | −1.48700 | − | 0.478622i | ||||
\(299\) | −23.2044 | −1.34195 | ||||||||
\(300\) | 4.76273 | − | 5.18592i | 0.274976 | − | 0.299409i | ||||
\(301\) | −26.6233 | −1.53454 | ||||||||
\(302\) | 8.18646 | + | 2.63499i | 0.471078 | + | 0.151627i | ||||
\(303\) | 1.10795 | + | 1.10795i | 0.0636499 | + | 0.0636499i | ||||
\(304\) | −1.27798 | − | 3.79035i | −0.0732969 | − | 0.217392i | ||||
\(305\) | −1.07789 | − | 0.524328i | −0.0617196 | − | 0.0300230i | ||||
\(306\) | 10.5267 | + | 20.5197i | 0.601772 | + | 1.17303i | ||||
\(307\) | −11.3998 | + | 11.3998i | −0.650619 | + | 0.650619i | −0.953142 | − | 0.302523i | \(-0.902171\pi\) |
0.302523 | + | 0.953142i | \(0.402171\pi\) | |||||||
\(308\) | −4.79459 | − | 29.2271i | −0.273197 | − | 1.66537i | ||||
\(309\) | − | 7.86014i | − | 0.447148i | ||||||
\(310\) | 3.58845 | + | 3.43905i | 0.203810 | + | 0.195325i | ||||
\(311\) | − | 11.0301i | − | 0.625460i | −0.949842 | − | 0.312730i | \(-0.898756\pi\) | ||
0.949842 | − | 0.312730i | \(-0.101244\pi\) | |||||||
\(312\) | 7.47099 | − | 5.52305i | 0.422962 | − | 0.312681i | ||||
\(313\) | 21.9744 | − | 21.9744i | 1.24207 | − | 1.24207i | 0.282923 | − | 0.959143i | \(-0.408696\pi\) |
0.959143 | − | 0.282923i | \(-0.0913040\pi\) | |||||||
\(314\) | 13.2893 | − | 6.81747i | 0.749956 | − | 0.384732i | ||||
\(315\) | −7.54724 | − | 21.8447i | −0.425239 | − | 1.23081i | ||||
\(316\) | −5.45558 | − | 3.91790i | −0.306900 | − | 0.220399i | ||||
\(317\) | −17.3687 | − | 17.3687i | −0.975526 | − | 0.975526i | 0.0241817 | − | 0.999708i | \(-0.492302\pi\) |
−0.999708 | + | 0.0241817i | \(0.992302\pi\) | |||||||
\(318\) | 0.916279 | − | 2.84672i | 0.0513824 | − | 0.159636i | ||||
\(319\) | −17.5168 | −0.980750 | ||||||||
\(320\) | −12.1981 | + | 13.0846i | −0.681893 | + | 0.731452i | ||||
\(321\) | −4.35990 | −0.243346 | ||||||||
\(322\) | −8.89544 | + | 27.6366i | −0.495724 | + | 1.54013i | ||||
\(323\) | 4.60467 | + | 4.60467i | 0.256211 | + | 0.256211i | ||||
\(324\) | 7.77131 | + | 5.58093i | 0.431739 | + | 0.310052i | ||||
\(325\) | −23.1579 | − | 2.79437i | −1.28457 | − | 0.155004i | ||||
\(326\) | 17.8640 | − | 9.16433i | 0.989396 | − | 0.507565i | ||||
\(327\) | 5.23475 | − | 5.23475i | 0.289482 | − | 0.289482i | ||||
\(328\) | 8.40039 | − | 6.21012i | 0.463834 | − | 0.342897i | ||||
\(329\) | 9.34653i | 0.515291i | ||||||||
\(330\) | 0.169802 | + | 7.98717i | 0.00934730 | + | 0.439679i | ||||
\(331\) | − | 24.2555i | − | 1.33320i | −0.745414 | − | 0.666602i | \(-0.767748\pi\) | ||
0.745414 | − | 0.666602i | \(-0.232252\pi\) | |||||||
\(332\) | 5.69141 | + | 34.6940i | 0.312357 | + | 1.90408i | ||||
\(333\) | −13.7303 | + | 13.7303i | −0.752417 | + | 0.752417i | ||||
\(334\) | 15.0941 | + | 29.4228i | 0.825912 | + | 1.60995i | ||||
\(335\) | −4.90944 | + | 1.69619i | −0.268232 | + | 0.0926728i | ||||
\(336\) | −3.71396 | − | 11.0153i | −0.202613 | − | 0.600931i | ||||
\(337\) | 16.9925 | + | 16.9925i | 0.925642 | + | 0.925642i | 0.997421 | − | 0.0717789i | \(-0.0228676\pi\) |
−0.0717789 | + | 0.997421i | \(0.522868\pi\) | |||||||
\(338\) | −11.7979 | − | 3.79743i | −0.641723 | − | 0.206553i | ||||
\(339\) | 9.59089 | 0.520905 | ||||||||
\(340\) | 8.33167 | − | 27.9053i | 0.451848 | − | 1.51338i | ||||
\(341\) | −5.63940 | −0.305391 | ||||||||
\(342\) | 3.37118 | + | 1.08509i | 0.182293 | + | 0.0586749i | ||||
\(343\) | 8.85807 | + | 8.85807i | 0.478291 | + | 0.478291i | ||||
\(344\) | −18.0430 | − | 2.70483i | −0.972811 | − | 0.145835i | ||||
\(345\) | 3.42563 | − | 7.04223i | 0.184430 | − | 0.379141i | ||||
\(346\) | −4.86320 | − | 9.47981i | −0.261447 | − | 0.509638i | ||||
\(347\) | 4.16317 | − | 4.16317i | 0.223490 | − | 0.223490i | −0.586476 | − | 0.809967i | \(-0.699485\pi\) |
0.809967 | + | 0.586476i | \(0.199485\pi\) | |||||||
\(348\) | −6.78437 | + | 1.11295i | −0.363681 | + | 0.0596603i | ||||
\(349\) | − | 25.4964i | − | 1.36479i | −0.730983 | − | 0.682396i | \(-0.760938\pi\) | ||
0.730983 | − | 0.682396i | \(-0.239062\pi\) | |||||||
\(350\) | −12.2057 | + | 26.5100i | −0.652423 | + | 1.41702i | ||||
\(351\) | 18.0803i | 0.965057i | ||||||||
\(352\) | −0.279983 | − | 20.2947i | −0.0149232 | − | 1.08171i | ||||
\(353\) | 8.69382 | − | 8.69382i | 0.462725 | − | 0.462725i | −0.436822 | − | 0.899548i | \(-0.643896\pi\) |
0.899548 | + | 0.436822i | \(0.143896\pi\) | |||||||
\(354\) | −5.24456 | + | 2.69049i | −0.278745 | + | 0.142998i | ||||
\(355\) | 3.99324 | − | 8.20910i | 0.211939 | − | 0.435694i | ||||
\(356\) | 13.8951 | − | 19.3486i | 0.736438 | − | 1.02547i | ||||
\(357\) | 13.3818 | + | 13.3818i | 0.708239 | + | 0.708239i | ||||
\(358\) | 5.66842 | − | 17.6108i | 0.299585 | − | 0.930759i | ||||
\(359\) | −10.8276 | −0.571458 | −0.285729 | − | 0.958310i | \(-0.592236\pi\) | ||||
−0.285729 | + | 0.958310i | \(0.592236\pi\) | |||||||
\(360\) | −2.89552 | − | 15.5712i | −0.152607 | − | 0.820674i | ||||
\(361\) | 1.00000 | 0.0526316 | ||||||||
\(362\) | −7.43514 | + | 23.0997i | −0.390782 | + | 1.21409i | ||||
\(363\) | −0.932815 | − | 0.932815i | −0.0489601 | − | 0.0489601i | ||||
\(364\) | −22.4632 | + | 31.2795i | −1.17739 | + | 1.63949i | ||||
\(365\) | 1.43757 | − | 0.496675i | 0.0752459 | − | 0.0259971i | ||||
\(366\) | 0.474933 | − | 0.243643i | 0.0248251 | − | 0.0127354i | ||||
\(367\) | 20.7628 | − | 20.7628i | 1.08381 | − | 1.08381i | 0.0876562 | − | 0.996151i | \(-0.472062\pi\) |
0.996151 | − | 0.0876562i | \(-0.0279377\pi\) | |||||||
\(368\) | −8.83634 | + | 17.8259i | −0.460626 | + | 0.929240i | ||||
\(369\) | 9.24922i | 0.481495i | ||||||||
\(370\) | 24.5146 | − | 0.521163i | 1.27445 | − | 0.0270940i | ||||
\(371\) | 12.3956i | 0.643546i | ||||||||
\(372\) | −2.18418 | + | 0.358306i | −0.113245 | + | 0.0185773i | ||||
\(373\) | 1.85686 | − | 1.85686i | 0.0961447 | − | 0.0961447i | −0.657398 | − | 0.753543i | \(-0.728343\pi\) |
0.753543 | + | 0.657398i | \(0.228343\pi\) | |||||||
\(374\) | 15.0823 | + | 29.3999i | 0.779889 | + | 1.52024i | ||||
\(375\) | 4.26682 | − | 6.61559i | 0.220338 | − | 0.341627i | ||||
\(376\) | −0.949575 | + | 6.33427i | −0.0489706 | + | 0.326665i | ||||
\(377\) | 16.1049 | + | 16.1049i | 0.829444 | + | 0.829444i | ||||
\(378\) | 21.5338 | + | 6.93112i | 1.10758 | + | 0.356498i | ||||
\(379\) | 17.2442 | 0.885776 | 0.442888 | − | 0.896577i | \(-0.353954\pi\) | ||||
0.442888 | + | 0.896577i | \(0.353954\pi\) | |||||||
\(380\) | −2.12541 | − | 3.93480i | −0.109031 | − | 0.201851i | ||||
\(381\) | −12.4392 | −0.637282 | ||||||||
\(382\) | 20.6178 | + | 6.63629i | 1.05490 | + | 0.339542i | ||||
\(383\) | −8.79528 | − | 8.79528i | −0.449418 | − | 0.449418i | 0.445743 | − | 0.895161i | \(-0.352939\pi\) |
−0.895161 | + | 0.445743i | \(0.852939\pi\) | |||||||
\(384\) | −1.39789 | − | 7.84251i | −0.0713357 | − | 0.400211i | ||||
\(385\) | −10.8134 | − | 31.2983i | −0.551104 | − | 1.59511i | ||||
\(386\) | 11.6388 | + | 22.6874i | 0.592399 | + | 1.15476i | ||||
\(387\) | 11.4221 | − | 11.4221i | 0.580620 | − | 0.580620i | ||||
\(388\) | 2.84544 | + | 17.3454i | 0.144455 | + | 0.880580i | ||||
\(389\) | − | 22.5652i | − | 1.14410i | −0.820219 | − | 0.572049i | \(-0.806149\pi\) | ||
0.820219 | − | 0.572049i | \(-0.193851\pi\) | |||||||
\(390\) | 7.18728 | − | 7.49951i | 0.363942 | − | 0.379753i | ||||
\(391\) | − | 32.3904i | − | 1.63805i | ||||||
\(392\) | 16.8730 | + | 22.8240i | 0.852216 | + | 1.15279i | ||||
\(393\) | −3.31784 | + | 3.31784i | −0.167363 | + | 0.167363i | ||||
\(394\) | 17.7535 | − | 9.10764i | 0.894408 | − | 0.458836i | ||||
\(395\) | −6.75287 | − | 3.28487i | −0.339774 | − | 0.165280i | ||||
\(396\) | 14.5963 | + | 10.4822i | 0.733490 | + | 0.526752i | ||||
\(397\) | 13.6045 | + | 13.6045i | 0.682791 | + | 0.682791i | 0.960628 | − | 0.277837i | \(-0.0896175\pi\) |
−0.277837 | + | 0.960628i | \(0.589618\pi\) | |||||||
\(398\) | 1.83090 | − | 5.68827i | 0.0917746 | − | 0.285127i | ||||
\(399\) | 2.90613 | 0.145488 | ||||||||
\(400\) | −10.9653 | + | 16.7261i | −0.548265 | + | 0.836305i | ||||
\(401\) | 33.3363 | 1.66474 | 0.832368 | − | 0.554224i | \(-0.186985\pi\) | ||||
0.832368 | + | 0.554224i | \(0.186985\pi\) | |||||||
\(402\) | 0.708708 | − | 2.20183i | 0.0353472 | − | 0.109817i | ||||
\(403\) | 5.18486 | + | 5.18486i | 0.258276 | + | 0.258276i | ||||
\(404\) | −3.61502 | − | 2.59611i | −0.179854 | − | 0.129161i | ||||
\(405\) | 9.61926 | + | 4.67920i | 0.477985 | + | 0.232511i | ||||
\(406\) | 25.3548 | − | 13.0072i | 1.25834 | − | 0.645535i | ||||
\(407\) | −19.6724 | + | 19.6724i | −0.975123 | + | 0.975123i | ||||
\(408\) | 7.70947 | + | 10.4285i | 0.381675 | + | 0.516290i | ||||
\(409\) | 2.78416i | 0.137668i | 0.997628 | + | 0.0688339i | \(0.0219279\pi\) | ||||
−0.997628 | + | 0.0688339i | \(0.978072\pi\) | |||||||
\(410\) | 8.08139 | − | 8.43246i | 0.399111 | − | 0.416450i | ||||
\(411\) | 6.61340i | 0.326215i | ||||||||
\(412\) | 3.61424 | + | 22.0319i | 0.178061 | + | 1.08543i | ||||
\(413\) | 17.2759 | − | 17.2759i | 0.850093 | − | 0.850093i | ||||
\(414\) | −8.04046 | − | 15.6732i | −0.395167 | − | 0.770298i | ||||
\(415\) | 12.8361 | + | 37.1527i | 0.630098 | + | 1.82375i | ||||
\(416\) | −18.4015 | + | 18.9164i | −0.902209 | + | 0.927451i | ||||
\(417\) | −3.39131 | − | 3.39131i | −0.166073 | − | 0.166073i | ||||
\(418\) | 4.83012 | + | 1.55468i | 0.236249 | + | 0.0760420i | ||||
\(419\) | 21.3153 | 1.04132 | 0.520661 | − | 0.853763i | \(-0.325685\pi\) | ||||
0.520661 | + | 0.853763i | \(0.325685\pi\) | |||||||
\(420\) | −6.17670 | − | 11.4350i | −0.301392 | − | 0.557973i | ||||
\(421\) | −11.5106 | −0.560994 | −0.280497 | − | 0.959855i | \(-0.590499\pi\) | ||||
−0.280497 | + | 0.959855i | \(0.590499\pi\) | |||||||
\(422\) | −17.2691 | − | 5.55845i | −0.840647 | − | 0.270581i | ||||
\(423\) | −4.00992 | − | 4.00992i | −0.194969 | − | 0.194969i | ||||
\(424\) | −1.25935 | + | 8.40065i | −0.0611593 | + | 0.407972i | ||||
\(425\) | 3.90058 | − | 32.3255i | 0.189206 | − | 1.56802i | ||||
\(426\) | 1.85557 | + | 3.61705i | 0.0899025 | + | 0.175247i | ||||
\(427\) | −1.56446 | + | 1.56446i | −0.0757096 | + | 0.0757096i | ||||
\(428\) | 12.2208 | − | 2.00476i | 0.590713 | − | 0.0969040i | ||||
\(429\) | 11.7858i | 0.569024i | ||||||||
\(430\) | −20.3934 | + | 0.433551i | −0.983459 | + | 0.0209077i | ||||
\(431\) | 8.99333i | 0.433193i | 0.976261 | + | 0.216597i | \(0.0694957\pi\) | ||||
−0.976261 | + | 0.216597i | \(0.930504\pi\) | |||||||
\(432\) | 13.8895 | + | 6.88507i | 0.668261 | + | 0.331258i | ||||
\(433\) | −21.6636 | + | 21.6636i | −1.04109 | + | 1.04109i | −0.0419671 | + | 0.999119i | \(0.513362\pi\) |
−0.999119 | + | 0.0419671i | \(0.986638\pi\) | |||||||
\(434\) | 8.16281 | − | 4.18757i | 0.391828 | − | 0.201010i | ||||
\(435\) | −7.26515 | + | 2.51008i | −0.348337 | + | 0.120349i | ||||
\(436\) | −12.2659 | + | 17.0800i | −0.587431 | + | 0.817983i | ||||
\(437\) | −3.51712 | − | 3.51712i | −0.168247 | − | 0.168247i | ||||
\(438\) | −0.207522 | + | 0.644735i | −0.00991580 | + | 0.0308066i | ||||
\(439\) | 20.8810 | 0.996595 | 0.498298 | − | 0.867006i | \(-0.333959\pi\) | ||||
0.498298 | + | 0.867006i | \(0.333959\pi\) | |||||||
\(440\) | −4.14861 | − | 22.3099i | −0.197777 | − | 1.06358i | ||||
\(441\) | −25.1303 | −1.19668 | ||||||||
\(442\) | 13.1636 | − | 40.8970i | 0.626128 | − | 1.94527i | ||||
\(443\) | −21.5183 | − | 21.5183i | −1.02237 | − | 1.02237i | −0.999744 | − | 0.0226219i | \(-0.992799\pi\) |
−0.0226219 | − | 0.999744i | \(-0.507201\pi\) | |||||||
\(444\) | −6.36935 | + | 8.86916i | −0.302276 | + | 0.420912i | ||||
\(445\) | 11.6500 | − | 23.9495i | 0.552264 | − | 1.13531i | ||||
\(446\) | −23.9398 | + | 12.2813i | −1.13358 | + | 0.581535i | ||||
\(447\) | 9.49370 | − | 9.49370i | 0.449037 | − | 0.449037i | ||||
\(448\) | 15.4752 | + | 29.1679i | 0.731136 | + | 1.37805i | ||||
\(449\) | − | 18.9308i | − | 0.893398i | −0.894684 | − | 0.446699i | \(-0.852600\pi\) | ||
0.894684 | − | 0.446699i | \(-0.147400\pi\) | |||||||
\(450\) | −6.13692 | − | 16.6101i | −0.289297 | − | 0.783008i | ||||
\(451\) | 13.2520i | 0.624011i | ||||||||
\(452\) | −26.8832 | + | 4.41007i | −1.26448 | + | 0.207432i | ||||
\(453\) | −3.02771 | + | 3.02771i | −0.142254 | + | 0.142254i | ||||
\(454\) | −13.6929 | − | 26.6915i | −0.642639 | − | 1.25269i | ||||
\(455\) | −18.8338 | + | 38.7175i | −0.882941 | + | 1.81510i | ||||
\(456\) | 1.96952 | + | 0.295252i | 0.0922313 | + | 0.0138265i | ||||
\(457\) | 1.51148 | + | 1.51148i | 0.0707041 | + | 0.0707041i | 0.741575 | − | 0.670870i | \(-0.234079\pi\) |
−0.670870 | + | 0.741575i | \(0.734079\pi\) | |||||||
\(458\) | −28.9335 | − | 9.31290i | −1.35197 | − | 0.435163i | ||||
\(459\) | −25.2378 | −1.17800 | ||||||||
\(460\) | −6.36386 | + | 21.3145i | −0.296716 | + | 0.993792i | ||||
\(461\) | −17.0301 | −0.793171 | −0.396586 | − | 0.917998i | \(-0.629805\pi\) | ||||
−0.396586 | + | 0.917998i | \(0.629805\pi\) | |||||||
\(462\) | 14.0370 | + | 4.51811i | 0.653059 | + | 0.210201i | ||||
\(463\) | −17.2053 | − | 17.2053i | −0.799599 | − | 0.799599i | 0.183433 | − | 0.983032i | \(-0.441279\pi\) |
−0.983032 | + | 0.183433i | \(0.941279\pi\) | |||||||
\(464\) | 18.5048 | − | 6.23917i | 0.859063 | − | 0.289646i | ||||
\(465\) | −2.33897 | + | 0.808103i | −0.108467 | + | 0.0374749i | ||||
\(466\) | 1.65883 | + | 3.23355i | 0.0768437 | + | 0.149791i | ||||
\(467\) | 9.04056 | − | 9.04056i | 0.418347 | − | 0.418347i | −0.466286 | − | 0.884634i | \(-0.654408\pi\) |
0.884634 | + | 0.466286i | \(0.154408\pi\) | |||||||
\(468\) | −3.78243 | − | 23.0571i | −0.174843 | − | 1.06582i | ||||
\(469\) | 9.58753i | 0.442711i | ||||||||
\(470\) | 0.152205 | + | 7.15945i | 0.00702070 | + | 0.330241i | ||||
\(471\) | 7.43634i | 0.342649i | ||||||||
\(472\) | 13.4633 | − | 9.95296i | 0.619699 | − | 0.458122i | ||||
\(473\) | 16.3653 | − | 16.3653i | 0.752476 | − | 0.752476i | ||||
\(474\) | 2.97541 | − | 1.52640i | 0.136665 | − | 0.0701100i | ||||
\(475\) | −3.08653 | − | 3.93362i | −0.141620 | − | 0.180487i | ||||
\(476\) | −43.6622 | − | 31.3558i | −2.00125 | − | 1.43719i | ||||
\(477\) | −5.31805 | − | 5.31805i | −0.243497 | − | 0.243497i | ||||
\(478\) | −9.91940 | + | 30.8178i | −0.453703 | + | 1.40957i | ||||
\(479\) | 21.6356 | 0.988556 | 0.494278 | − | 0.869304i | \(-0.335432\pi\) | ||||
0.494278 | + | 0.869304i | \(0.335432\pi\) | |||||||
\(480\) | −3.02427 | − | 8.37721i | −0.138039 | − | 0.382365i | ||||
\(481\) | 36.1735 | 1.64937 | ||||||||
\(482\) | 6.07910 | − | 18.8867i | 0.276895 | − | 0.860265i | ||||
\(483\) | −10.2212 | − | 10.2212i | −0.465081 | − | 0.465081i | ||||
\(484\) | 3.04360 | + | 2.18575i | 0.138345 | + | 0.0993521i | ||||
\(485\) | 6.41745 | + | 18.5746i | 0.291401 | + | 0.843429i | ||||
\(486\) | −18.8683 | + | 9.67956i | −0.855885 | + | 0.439074i | ||||
\(487\) | 14.6707 | − | 14.6707i | 0.664791 | − | 0.664791i | −0.291715 | − | 0.956505i | \(-0.594226\pi\) |
0.956505 | + | 0.291715i | \(0.0942258\pi\) | |||||||
\(488\) | −1.21920 | + | 0.901313i | −0.0551906 | + | 0.0408005i | ||||
\(489\) | 9.99625i | 0.452046i | ||||||||
\(490\) | 22.9112 | + | 21.9573i | 1.03502 | + | 0.991929i | ||||
\(491\) | − | 30.4922i | − | 1.37609i | −0.725667 | − | 0.688047i | \(-0.758468\pi\) | ||
0.725667 | − | 0.688047i | \(-0.241532\pi\) | |||||||
\(492\) | 0.841981 | + | 5.13259i | 0.0379594 | + | 0.231395i | ||||
\(493\) | −22.4804 | + | 22.4804i | −1.01246 | + | 1.01246i | ||||
\(494\) | −3.01144 | − | 5.87018i | −0.135491 | − | 0.264112i | ||||
\(495\) | 18.0671 | + | 8.78859i | 0.812057 | + | 0.395018i | ||||
\(496\) | 5.95749 | − | 2.00866i | 0.267499 | − | 0.0901914i | ||||
\(497\) | −11.9148 | − | 11.9148i | −0.534453 | − | 0.534453i | ||||
\(498\) | −16.6626 | − | 5.36322i | −0.746667 | − | 0.240331i | ||||
\(499\) | 25.7578 | 1.15308 | 0.576538 | − | 0.817071i | \(-0.304403\pi\) | ||||
0.576538 | + | 0.817071i | \(0.304403\pi\) | |||||||
\(500\) | −8.91788 | + | 20.5054i | −0.398820 | + | 0.917029i | ||||
\(501\) | −16.4643 | −0.735571 | ||||||||
\(502\) | −7.12001 | − | 2.29173i | −0.317782 | − | 0.102285i | ||||
\(503\) | −5.81236 | − | 5.81236i | −0.259161 | − | 0.259161i | 0.565552 | − | 0.824713i | \(-0.308663\pi\) |
−0.824713 | + | 0.565552i | \(0.808663\pi\) | |||||||
\(504\) | −28.9112 | − | 4.33409i | −1.28781 | − | 0.193056i | ||||
\(505\) | −4.47464 | − | 2.17665i | −0.199119 | − | 0.0968596i | ||||
\(506\) | −11.5201 | − | 22.4561i | −0.512132 | − | 0.998297i | ||||
\(507\) | 4.36339 | − | 4.36339i | 0.193785 | − | 0.193785i | ||||
\(508\) | 34.8671 | − | 5.71980i | 1.54698 | − | 0.253775i | ||||
\(509\) | 21.8822i | 0.969912i | 0.874539 | + | 0.484956i | \(0.161164\pi\) | ||||
−0.874539 | + | 0.484956i | \(0.838836\pi\) | |||||||
\(510\) | 10.4684 | + | 10.0325i | 0.463547 | + | 0.444248i | ||||
\(511\) | − | 2.80740i | − | 0.124192i | ||||||
\(512\) | 7.52441 | + | 21.3397i | 0.332535 | + | 0.943091i | ||||
\(513\) | −2.74046 | + | 2.74046i | −0.120994 | + | 0.120994i | ||||
\(514\) | −25.1511 | + | 12.9027i | −1.10937 | + | 0.569113i | ||||
\(515\) | 8.15136 | + | 23.5932i | 0.359192 | + | 1.03964i | ||||
\(516\) | 5.29861 | − | 7.37818i | 0.233258 | − | 0.324806i | ||||
\(517\) | −5.74529 | − | 5.74529i | −0.252678 | − | 0.252678i | ||||
\(518\) | 13.8672 | − | 43.0828i | 0.609288 | − | 1.89295i | ||||
\(519\) | 5.30467 | 0.232849 | ||||||||
\(520\) | −16.6975 | + | 24.3259i | −0.732232 | + | 1.06676i | ||||
\(521\) | −30.5569 | −1.33872 | −0.669361 | − | 0.742937i | \(-0.733432\pi\) | ||||
−0.669361 | + | 0.742937i | \(0.733432\pi\) | |||||||
\(522\) | −5.29749 | + | 16.4584i | −0.231865 | + | 0.720363i | ||||
\(523\) | 28.6213 | + | 28.6213i | 1.25152 | + | 1.25152i | 0.955037 | + | 0.296487i | \(0.0958150\pi\) |
0.296487 | + | 0.955037i | \(0.404185\pi\) | |||||||
\(524\) | 7.77427 | − | 10.8255i | 0.339620 | − | 0.472913i | ||||
\(525\) | −8.96984 | − | 11.4316i | −0.391476 | − | 0.498916i | ||||
\(526\) | 23.8038 | − | 12.2115i | 1.03789 | − | 0.532445i | ||||
\(527\) | −7.23740 | + | 7.23740i | −0.315266 | + | 0.315266i | ||||
\(528\) | 9.05401 | + | 4.48809i | 0.394025 | + | 0.195319i | ||||
\(529\) | 1.74027i | 0.0756638i | ||||||||
\(530\) | 0.201858 | + | 9.49502i | 0.00876814 | + | 0.412437i | ||||
\(531\) | 14.8237i | 0.643295i | ||||||||
\(532\) | −8.14585 | + | 1.33629i | −0.353168 | + | 0.0579357i | ||||
\(533\) | 12.1839 | − | 12.1839i | 0.527741 | − | 0.527741i | ||||
\(534\) | 5.41349 | + | 10.5525i | 0.234265 | + | 0.456651i | ||||
\(535\) | 13.0868 | − | 4.52143i | 0.565791 | − | 0.195478i | ||||
\(536\) | −0.974059 | + | 6.49759i | −0.0420729 | + | 0.280653i | ||||
\(537\) | 6.51324 | + | 6.51324i | 0.281067 | + | 0.281067i | ||||
\(538\) | 25.9689 | + | 8.35866i | 1.11960 | + | 0.360368i | ||||
\(539\) | −36.0059 | −1.55088 | ||||||||
\(540\) | 16.6077 | + | 4.95857i | 0.714683 | + | 0.213383i | ||||
\(541\) | 4.01340 | 0.172549 | 0.0862747 | − | 0.996271i | \(-0.472504\pi\) | ||||
0.0862747 | + | 0.996271i | \(0.472504\pi\) | |||||||
\(542\) | 21.0565 | + | 6.77751i | 0.904455 | + | 0.291119i | ||||
\(543\) | −8.54327 | − | 8.54327i | −0.366627 | − | 0.366627i | ||||
\(544\) | −26.4048 | − | 25.6862i | −1.13210 | − | 1.10129i | ||||
\(545\) | −10.2841 | + | 21.1415i | −0.440521 | + | 0.905600i | ||||
\(546\) | −8.75162 | − | 17.0595i | −0.374535 | − | 0.730079i | ||||
\(547\) | −1.65661 | + | 1.65661i | −0.0708313 | + | 0.0708313i | −0.741635 | − | 0.670804i | \(-0.765949\pi\) |
0.670804 | + | 0.741635i | \(0.265949\pi\) | |||||||
\(548\) | −3.04097 | − | 18.5373i | −0.129904 | − | 0.791875i | ||||
\(549\) | − | 1.34240i | − | 0.0572921i | ||||||
\(550\) | −8.79278 | − | 23.7984i | −0.374925 | − | 1.01477i | ||||
\(551\) | 4.88207i | 0.207983i | ||||||||
\(552\) | −5.88861 | − | 7.96548i | −0.250636 | − | 0.339034i | ||||
\(553\) | −9.80122 | + | 9.80122i | −0.416790 | + | 0.416790i | ||||
\(554\) | −16.8918 | + | 8.66558i | −0.717663 | + | 0.368165i | ||||
\(555\) | −5.34023 | + | 10.9782i | −0.226680 | + | 0.465997i | ||||
\(556\) | 11.0652 | + | 7.94642i | 0.469269 | + | 0.337003i | ||||
\(557\) | −32.0355 | − | 32.0355i | −1.35739 | − | 1.35739i | −0.877126 | − | 0.480260i | \(-0.840542\pi\) |
−0.480260 | − | 0.877126i | \(-0.659458\pi\) | |||||||
\(558\) | −1.70549 | + | 5.29866i | −0.0721992 | + | 0.224310i | ||||
\(559\) | −30.0924 | −1.27277 | ||||||||
\(560\) | 22.5713 | + | 29.2121i | 0.953811 | + | 1.23444i | ||||
\(561\) | −16.4515 | −0.694582 | ||||||||
\(562\) | −2.62424 | + | 8.15306i | −0.110697 | + | 0.343916i | ||||
\(563\) | 23.6795 | + | 23.6795i | 0.997973 | + | 0.997973i | 0.999998 | − | 0.00202496i | \(-0.000644564\pi\) |
−0.00202496 | + | 0.999998i | \(0.500645\pi\) | |||||||
\(564\) | −2.59023 | − | 1.86016i | −0.109068 | − | 0.0783269i | ||||
\(565\) | −28.7883 | + | 9.94622i | −1.21113 | + | 0.418441i | ||||
\(566\) | −16.3857 | + | 8.40598i | −0.688744 | + | 0.353330i | ||||
\(567\) | 13.9615 | − | 13.9615i | 0.586330 | − | 0.586330i | ||||
\(568\) | −6.86433 | − | 9.28533i | −0.288021 | − | 0.389604i | ||||
\(569\) | − | 4.84313i | − | 0.203035i | −0.994834 | − | 0.101517i | \(-0.967630\pi\) | ||
0.994834 | − | 0.101517i | \(-0.0323697\pi\) | |||||||
\(570\) | 2.22610 | − | 0.0473253i | 0.0932409 | − | 0.00198224i | ||||
\(571\) | − | 26.9143i | − | 1.12633i | −0.826345 | − | 0.563164i | \(-0.809584\pi\) | ||
0.826345 | − | 0.563164i | \(-0.190416\pi\) | |||||||
\(572\) | −5.41934 | − | 33.0355i | −0.226594 | − | 1.38128i | ||||
\(573\) | −7.62536 | + | 7.62536i | −0.318554 | + | 0.318554i | ||||
\(574\) | −9.84034 | − | 19.1817i | −0.410728 | − | 0.800630i | ||||
\(575\) | −2.97933 | + | 24.6907i | −0.124246 | + | 1.02967i | ||||
\(576\) | −19.1532 | − | 5.87455i | −0.798048 | − | 0.244773i | ||||
\(577\) | 11.9729 | + | 11.9729i | 0.498439 | + | 0.498439i | 0.910952 | − | 0.412513i | \(-0.135349\pi\) |
−0.412513 | + | 0.910952i | \(0.635349\pi\) | |||||||
\(578\) | 34.2016 | + | 11.0085i | 1.42260 | + | 0.457894i | ||||
\(579\) | −12.6953 | −0.527600 | ||||||||
\(580\) | 19.2100 | − | 10.3764i | 0.797651 | − | 0.430856i | ||||
\(581\) | 72.5545 | 3.01007 | ||||||||
\(582\) | −8.33051 | − | 2.68136i | −0.345311 | − | 0.111146i | ||||
\(583\) | −7.61953 | − | 7.61953i | −0.315569 | − | 0.315569i | ||||
\(584\) | 0.285222 | − | 1.90261i | 0.0118026 | − | 0.0787306i | ||||
\(585\) | −8.53067 | − | 24.6911i | −0.352700 | − | 1.02085i | ||||
\(586\) | −7.85841 | − | 15.3184i | −0.324628 | − | 0.632796i | ||||
\(587\) | −0.478832 | + | 0.478832i | −0.0197635 | + | 0.0197635i | −0.716919 | − | 0.697156i | \(-0.754448\pi\) |
0.697156 | + | 0.716919i | \(0.254448\pi\) | |||||||
\(588\) | −13.9454 | + | 2.28768i | −0.575097 | + | 0.0943422i | ||||
\(589\) | 1.57175i | 0.0647628i | ||||||||
\(590\) | 12.9520 | − | 13.5147i | 0.533227 | − | 0.556392i | ||||
\(591\) | 9.93442i | 0.408647i | ||||||||
\(592\) | 13.7750 | − | 27.7889i | 0.566150 | − | 1.14212i | ||||
\(593\) | 23.9284 | − | 23.9284i | 0.982622 | − | 0.982622i | −0.0172293 | − | 0.999852i | \(-0.505485\pi\) |
0.999852 | + | 0.0172293i | \(0.00548454\pi\) | |||||||
\(594\) | −17.4973 | + | 8.97621i | −0.717922 | + | 0.368298i | ||||
\(595\) | −54.0447 | − | 26.2896i | −2.21562 | − | 1.07777i | ||||
\(596\) | −22.2454 | + | 30.9762i | −0.911206 | + | 1.26883i | ||||
\(597\) | 2.10377 | + | 2.10377i | 0.0861016 | + | 0.0861016i | ||||
\(598\) | −10.0546 | + | 31.2377i | −0.411161 | + | 1.27741i | ||||
\(599\) | 1.72828 | 0.0706158 | 0.0353079 | − | 0.999376i | \(-0.488759\pi\) | ||||
0.0353079 | + | 0.999376i | \(0.488759\pi\) | |||||||
\(600\) | −4.91757 | − | 8.65865i | −0.200759 | − | 0.353488i | ||||
\(601\) | −26.9304 | −1.09852 | −0.549258 | − | 0.835653i | \(-0.685090\pi\) | ||||
−0.549258 | + | 0.835653i | \(0.685090\pi\) | |||||||
\(602\) | −11.5360 | + | 35.8402i | −0.470171 | + | 1.46074i | ||||
\(603\) | −4.11332 | − | 4.11332i | −0.167507 | − | 0.167507i | ||||
\(604\) | 7.09444 | − | 9.87884i | 0.288669 | − | 0.401964i | ||||
\(605\) | 3.76734 | + | 1.83259i | 0.153164 | + | 0.0745053i | ||||
\(606\) | 1.97159 | − | 1.01144i | 0.0800905 | − | 0.0410869i | ||||
\(607\) | −15.1247 | + | 15.1247i | −0.613894 | + | 0.613894i | −0.943958 | − | 0.330065i | \(-0.892929\pi\) |
0.330065 | + | 0.943958i | \(0.392929\pi\) | |||||||
\(608\) | −5.65632 | + | 0.0780338i | −0.229394 | + | 0.00316469i | ||||
\(609\) | 14.1879i | 0.574924i | ||||||||
\(610\) | −1.17290 | + | 1.22386i | −0.0474894 | + | 0.0495524i | ||||
\(611\) | 10.5644i | 0.427391i | ||||||||
\(612\) | 32.1848 | − | 5.27979i | 1.30099 | − | 0.213423i | ||||
\(613\) | −12.3720 | + | 12.3720i | −0.499701 | + | 0.499701i | −0.911345 | − | 0.411644i | \(-0.864955\pi\) |
0.411644 | + | 0.911345i | \(0.364955\pi\) | |||||||
\(614\) | 10.4068 | + | 20.2859i | 0.419983 | + | 0.818672i | ||||
\(615\) | 1.89895 | + | 5.49632i | 0.0765732 | + | 0.221633i | ||||
\(616\) | −41.4230 | − | 6.20975i | −1.66898 | − | 0.250198i | ||||
\(617\) | −18.4809 | − | 18.4809i | −0.744011 | − | 0.744011i | 0.229336 | − | 0.973347i | \(-0.426344\pi\) |
−0.973347 | + | 0.229336i | \(0.926344\pi\) | |||||||
\(618\) | −10.5813 | − | 3.40583i | −0.425643 | − | 0.137002i | ||||
\(619\) | −16.9676 | −0.681984 | −0.340992 | − | 0.940066i | \(-0.610763\pi\) | ||||
−0.340992 | + | 0.940066i | \(0.610763\pi\) | |||||||
\(620\) | 6.18452 | − | 3.34061i | 0.248376 | − | 0.134162i | ||||
\(621\) | 19.2770 | 0.773561 | ||||||||
\(622\) | −14.8487 | − | 4.77939i | −0.595379 | − | 0.191636i | ||||
\(623\) | −34.7607 | − | 34.7607i | −1.39266 | − | 1.39266i | ||||
\(624\) | −4.19790 | − | 12.4506i | −0.168051 | − | 0.498422i | ||||
\(625\) | −5.94671 | + | 24.2824i | −0.237868 | + | 0.971297i | ||||
\(626\) | −20.0603 | − | 39.1034i | −0.801770 | − | 1.56289i | ||||
\(627\) | −1.78639 | + | 1.78639i | −0.0713415 | + | 0.0713415i | ||||
\(628\) | −3.41937 | − | 20.8440i | −0.136448 | − | 0.831766i | ||||
\(629\) | 50.4936i | 2.01331i | ||||||||
\(630\) | −32.6775 | + | 0.694702i | −1.30190 | + | 0.0276776i | ||||
\(631\) | 26.7082i | 1.06324i | 0.846984 | + | 0.531619i | \(0.178416\pi\) | ||||
−0.846984 | + | 0.531619i | \(0.821584\pi\) | |||||||
\(632\) | −7.63819 | + | 5.64665i | −0.303831 | + | 0.224612i | ||||
\(633\) | 6.38687 | − | 6.38687i | 0.253855 | − | 0.253855i | ||||
\(634\) | −30.9077 | + | 15.8558i | −1.22750 | + | 0.629715i | ||||
\(635\) | 37.3380 | − | 12.9001i | 1.48171 | − | 0.511925i | ||||
\(636\) | −3.43522 | − | 2.46699i | −0.136215 | − | 0.0978224i | ||||
\(637\) | 33.1038 | + | 33.1038i | 1.31162 | + | 1.31162i | ||||
\(638\) | −7.59007 | + | 23.5810i | −0.300494 | + | 0.933581i | ||||
\(639\) | 10.2236 | 0.404439 | ||||||||
\(640\) | 12.3290 | + | 22.0906i | 0.487347 | + | 0.873208i | ||||
\(641\) | 3.98093 | 0.157237 | 0.0786186 | − | 0.996905i | \(-0.474949\pi\) | ||||
0.0786186 | + | 0.996905i | \(0.474949\pi\) | |||||||
\(642\) | −1.88916 | + | 5.86928i | −0.0745592 | + | 0.231642i | ||||
\(643\) | 6.39670 | + | 6.39670i | 0.252261 | + | 0.252261i | 0.821897 | − | 0.569636i | \(-0.192916\pi\) |
−0.569636 | + | 0.821897i | \(0.692916\pi\) | |||||||
\(644\) | 33.3499 | + | 23.9500i | 1.31417 | + | 0.943764i | ||||
\(645\) | 4.44249 | − | 9.13264i | 0.174923 | − | 0.359598i | ||||
\(646\) | 8.19402 | − | 4.20358i | 0.322390 | − | 0.165388i | ||||
\(647\) | −20.5555 | + | 20.5555i | −0.808120 | + | 0.808120i | −0.984349 | − | 0.176230i | \(-0.943610\pi\) |
0.176230 | + | 0.984349i | \(0.443610\pi\) | |||||||
\(648\) | 10.8804 | − | 8.04348i | 0.427421 | − | 0.315978i | ||||
\(649\) | 21.2389i | 0.833702i | ||||||||
\(650\) | −13.7962 | + | 29.9643i | −0.541131 | + | 1.17530i | ||||
\(651\) | 4.56771i | 0.179023i | ||||||||
\(652\) | −4.59647 | − | 28.0194i | −0.180012 | − | 1.09732i | ||||
\(653\) | −19.4414 | + | 19.4414i | −0.760800 | + | 0.760800i | −0.976467 | − | 0.215667i | \(-0.930807\pi\) |
0.215667 | + | 0.976467i | \(0.430807\pi\) | |||||||
\(654\) | −4.77877 | − | 9.31524i | −0.186865 | − | 0.364255i | ||||
\(655\) | 6.51815 | − | 13.3997i | 0.254685 | − | 0.523569i | ||||
\(656\) | −4.72013 | − | 13.9995i | −0.184290 | − | 0.546587i | ||||
\(657\) | 1.20445 | + | 1.20445i | 0.0469901 | + | 0.0469901i | ||||
\(658\) | 12.5823 | + | 4.04989i | 0.490508 | + | 0.157881i | ||||
\(659\) | −9.30532 | −0.362484 | −0.181242 | − | 0.983439i | \(-0.558012\pi\) | ||||
−0.181242 | + | 0.983439i | \(0.558012\pi\) | |||||||
\(660\) | 10.8259 | + | 3.23228i | 0.421397 | + | 0.125816i | ||||
\(661\) | 20.9486 | 0.814805 | 0.407402 | − | 0.913249i | \(-0.366435\pi\) | ||||
0.407402 | + | 0.913249i | \(0.366435\pi\) | |||||||
\(662\) | −32.6527 | − | 10.5100i | −1.26908 | − | 0.408483i | ||||
\(663\) | 15.1255 | + | 15.1255i | 0.587425 | + | 0.587425i | ||||
\(664\) | 49.1711 | + | 7.37128i | 1.90821 | + | 0.286061i | ||||
\(665\) | −8.72312 | + | 3.01380i | −0.338268 | + | 0.116870i | ||||
\(666\) | 12.5343 | + | 24.4331i | 0.485695 | + | 0.946764i | ||||
\(667\) | 17.1708 | − | 17.1708i | 0.664857 | − | 0.664857i | ||||
\(668\) | 46.1493 | − | 7.57060i | 1.78557 | − | 0.292915i | ||||
\(669\) | − | 13.3961i | − | 0.517924i | ||||||
\(670\) | 0.156130 | + | 7.34405i | 0.00603181 | + | 0.283725i | ||||
\(671\) | − | 1.92334i | − | 0.0742498i | ||||||
\(672\) | −16.4380 | + | 0.226776i | −0.634109 | + | 0.00874809i | ||||
\(673\) | −2.71457 | + | 2.71457i | −0.104639 | + | 0.104639i | −0.757488 | − | 0.652849i | \(-0.773574\pi\) |
0.652849 | + | 0.757488i | \(0.273574\pi\) | |||||||
\(674\) | 30.2382 | − | 15.5124i | 1.16473 | − | 0.597514i | ||||
\(675\) | 19.2384 | + | 2.32142i | 0.740487 | + | 0.0893515i | ||||
\(676\) | −10.2242 | + | 14.2369i | −0.393237 | + | 0.547573i | ||||
\(677\) | −19.1114 | − | 19.1114i | −0.734513 | − | 0.734513i | 0.236998 | − | 0.971510i | \(-0.423837\pi\) |
−0.971510 | + | 0.236998i | \(0.923837\pi\) | |||||||
\(678\) | 4.15577 | − | 12.9112i | 0.159601 | − | 0.495853i | ||||
\(679\) | 36.2739 | 1.39206 | ||||||||
\(680\) | −33.9559 | − | 23.3075i | −1.30215 | − | 0.893803i | ||||
\(681\) | 14.9359 | 0.572345 | ||||||||
\(682\) | −2.44357 | + | 7.59175i | −0.0935692 | + | 0.290703i | ||||
\(683\) | −12.0794 | − | 12.0794i | −0.462204 | − | 0.462204i | 0.437173 | − | 0.899377i | \(-0.355980\pi\) |
−0.899377 | + | 0.437173i | \(0.855980\pi\) | |||||||
\(684\) | 2.92149 | − | 4.06811i | 0.111706 | − | 0.155548i | ||||
\(685\) | −6.85842 | − | 19.8510i | −0.262047 | − | 0.758467i | ||||
\(686\) | 15.7629 | − | 8.08648i | 0.601832 | − | 0.308743i | ||||
\(687\) | 10.7009 | − | 10.7009i | 0.408264 | − | 0.408264i | ||||
\(688\) | −11.4593 | + | 23.1174i | −0.436882 | + | 0.881342i | ||||
\(689\) | 14.0108i | 0.533768i | ||||||||
\(690\) | −7.99589 | − | 7.66299i | −0.304398 | − | 0.291725i | ||||
\(691\) | 16.1397i | 0.613985i | 0.951712 | + | 0.306992i | \(0.0993226\pi\) | ||||
−0.951712 | + | 0.306992i | \(0.900677\pi\) | |||||||
\(692\) | −14.8689 | + | 2.43919i | −0.565232 | + | 0.0927240i | ||||
\(693\) | 26.2229 | − | 26.2229i | 0.996126 | − | 0.996126i | ||||
\(694\) | −3.80053 | − | 7.40836i | −0.144266 | − | 0.281217i | ||||
\(695\) | 13.6964 | + | 6.66249i | 0.519534 | + | 0.252723i | ||||
\(696\) | −1.44144 | + | 9.61535i | −0.0546378 | + | 0.364469i | ||||
\(697\) | 17.0071 | + | 17.0071i | 0.644190 | + | 0.644190i | ||||
\(698\) | −34.3232 | − | 11.0477i | −1.29915 | − | 0.418161i | ||||
\(699\) | −1.80941 | −0.0684383 | ||||||||
\(700\) | 30.3989 | + | 27.9182i | 1.14897 | + | 1.05521i | ||||
\(701\) | 1.39112 | 0.0525418 | 0.0262709 | − | 0.999655i | \(-0.491637\pi\) | ||||
0.0262709 | + | 0.999655i | \(0.491637\pi\) | |||||||
\(702\) | 24.3397 | + | 7.83427i | 0.918643 | + | 0.295686i | ||||
\(703\) | 5.48286 | + | 5.48286i | 0.206790 | + | 0.206790i | ||||
\(704\) | −27.4420 | − | 8.41686i | −1.03426 | − | 0.317222i | ||||
\(705\) | −3.20616 | − | 1.55961i | −0.120751 | − | 0.0587383i | ||||
\(706\) | −7.93654 | − | 15.4707i | −0.298696 | − | 0.582246i | ||||
\(707\) | −6.49457 | + | 6.49457i | −0.244253 | + | 0.244253i | ||||
\(708\) | 1.34944 | + | 8.22601i | 0.0507151 | + | 0.309152i | ||||
\(709\) | 0.442717i | 0.0166266i | 0.999965 | + | 0.00831330i | \(0.00264624\pi\) | ||||
−0.999965 | + | 0.00831330i | \(0.997354\pi\) | |||||||
\(710\) | −9.32078 | − | 8.93272i | −0.349803 | − | 0.335239i | ||||
\(711\) | − | 8.40999i | − | 0.315399i | ||||||
\(712\) | −20.0262 | − | 27.0893i | −0.750514 | − | 1.01522i | ||||
\(713\) | 5.52803 | − | 5.52803i | 0.207026 | − | 0.207026i | ||||
\(714\) | 23.8129 | − | 12.2161i | 0.891175 | − | 0.457178i | ||||
\(715\) | −12.2225 | − | 35.3766i | −0.457094 | − | 1.32301i | ||||
\(716\) | −21.2515 | − | 15.2616i | −0.794204 | − | 0.570354i | ||||
\(717\) | −11.3978 | − | 11.3978i | −0.425658 | − | 0.425658i | ||||
\(718\) | −4.69163 | + | 14.5761i | −0.175090 | + | 0.543974i | ||||
\(719\) | 3.55928 | 0.132739 | 0.0663694 | − | 0.997795i | \(-0.478858\pi\) | ||||
0.0663694 | + | 0.997795i | \(0.478858\pi\) | |||||||
\(720\) | −22.2165 | − | 2.84911i | −0.827961 | − | 0.106180i | ||||
\(721\) | 46.0746 | 1.71591 | ||||||||
\(722\) | 0.433304 | − | 1.34620i | 0.0161259 | − | 0.0501003i | ||||
\(723\) | 6.98512 | + | 6.98512i | 0.259779 | + | 0.259779i | ||||
\(724\) | 27.8751 | + | 20.0183i | 1.03597 | + | 0.743976i | ||||
\(725\) | 19.2042 | − | 15.0686i | 0.713227 | − | 0.559635i | ||||
\(726\) | −1.65994 | + | 0.851561i | −0.0616063 | + | 0.0316044i | ||||
\(727\) | −25.1946 | + | 25.1946i | −0.934415 | + | 0.934415i | −0.997978 | − | 0.0635627i | \(-0.979754\pi\) |
0.0635627 | + | 0.997978i | \(0.479754\pi\) | |||||||
\(728\) | 32.3750 | + | 43.7935i | 1.19990 | + | 1.62309i | ||||
\(729\) | 3.79323i | 0.140490i | ||||||||
\(730\) | −0.0457175 | − | 2.15047i | −0.00169208 | − | 0.0795923i | ||||
\(731\) | − | 42.0052i | − | 1.55362i | ||||||
\(732\) | −0.122202 | − | 0.744925i | −0.00451671 | − | 0.0275332i | ||||
\(733\) | −7.66294 | + | 7.66294i | −0.283037 | + | 0.283037i | −0.834319 | − | 0.551282i | \(-0.814139\pi\) |
0.551282 | + | 0.834319i | \(0.314139\pi\) | |||||||
\(734\) | −18.9542 | − | 36.9473i | −0.699612 | − | 1.36375i | ||||
\(735\) | −14.9336 | + | 5.15950i | −0.550834 | + | 0.190311i | ||||
\(736\) | 20.1684 | + | 19.6195i | 0.743417 | + | 0.723184i | ||||
\(737\) | −5.89343 | − | 5.89343i | −0.217087 | − | 0.217087i | ||||
\(738\) | 12.4513 | + | 4.00772i | 0.458338 | + | 0.147526i | ||||
\(739\) | −50.2765 | −1.84945 | −0.924725 | − | 0.380635i | \(-0.875706\pi\) | ||||
−0.924725 | + | 0.380635i | \(0.875706\pi\) | |||||||
\(740\) | 9.92065 | − | 33.2273i | 0.364690 | − | 1.22146i | ||||
\(741\) | 3.28481 | 0.120670 | ||||||||
\(742\) | 16.6869 | + | 5.37105i | 0.612595 | + | 0.197177i | ||||
\(743\) | 17.6854 | + | 17.6854i | 0.648814 | + | 0.648814i | 0.952706 | − | 0.303893i | \(-0.0982864\pi\) |
−0.303893 | + | 0.952706i | \(0.598286\pi\) | |||||||
\(744\) | −0.464063 | + | 3.09560i | −0.0170134 | + | 0.113490i | ||||
\(745\) | −18.6511 | + | 38.3420i | −0.683324 | + | 1.40474i | ||||
\(746\) | −1.69512 | − | 3.30429i | −0.0620627 | − | 0.120979i | ||||
\(747\) | −31.1279 | + | 31.1279i | −1.13891 | + | 1.13891i | ||||
\(748\) | 46.1134 | − | 7.56471i | 1.68607 | − | 0.276593i | ||||
\(749\) | − | 25.5569i | − | 0.933827i | ||||||
\(750\) | −7.05706 | − | 8.61054i | −0.257687 | − | 0.314412i | ||||
\(751\) | 40.6953i | 1.48499i | 0.669851 | + | 0.742496i | \(0.266358\pi\) | ||||
−0.669851 | + | 0.742496i | \(0.733642\pi\) | |||||||
\(752\) | 8.11573 | + | 4.02298i | 0.295950 | + | 0.146703i | ||||
\(753\) | 2.63329 | − | 2.63329i | 0.0959625 | − | 0.0959625i | ||||
\(754\) | 28.6587 | − | 14.7021i | 1.04369 | − | 0.535417i | ||||
\(755\) | 5.94817 | − | 12.2279i | 0.216476 | − | 0.445020i | ||||
\(756\) | 18.6613 | − | 25.9854i | 0.678705 | − | 0.945081i | ||||
\(757\) | 13.3742 | + | 13.3742i | 0.486092 | + | 0.486092i | 0.907071 | − | 0.420978i | \(-0.138313\pi\) |
−0.420978 | + | 0.907071i | \(0.638313\pi\) | |||||||
\(758\) | 7.47198 | − | 23.2141i | 0.271394 | − | 0.843175i | ||||
\(759\) | 12.5659 | 0.456113 | ||||||||
\(760\) | −6.21796 | + | 1.15625i | −0.225549 | + | 0.0419417i | ||||
\(761\) | 37.9781 | 1.37670 | 0.688352 | − | 0.725377i | \(-0.258334\pi\) | ||||
0.688352 | + | 0.725377i | \(0.258334\pi\) | |||||||
\(762\) | −5.38997 | + | 16.7457i | −0.195258 | + | 0.606632i | ||||
\(763\) | 30.6851 | + | 30.6851i | 1.11087 | + | 1.11087i | ||||
\(764\) | 17.8675 | − | 24.8801i | 0.646424 | − | 0.900130i | ||||
\(765\) | 34.4656 | − | 11.9077i | 1.24611 | − | 0.430525i | ||||
\(766\) | −15.6512 | + | 8.02916i | −0.565501 | + | 0.290105i | ||||
\(767\) | 19.5271 | − | 19.5271i | 0.705081 | − | 0.705081i | ||||
\(768\) | −11.1633 | − | 1.51635i | −0.402820 | − | 0.0547166i | ||||
\(769\) | 32.0784i | 1.15678i | 0.815762 | + | 0.578388i | \(0.196318\pi\) | ||||
−0.815762 | + | 0.578388i | \(0.803682\pi\) | |||||||
\(770\) | −46.8192 | + | 0.995346i | −1.68725 | + | 0.0358698i | ||||
\(771\) | − | 14.0740i | − |