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 | 267.4 | ||
Character | \(\chi\) | \(=\) | 380.267 |
Dual form | 380.2.k.c.343.4 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.34620 | + | 0.433304i | −0.951905 | + | 0.306392i | ||||
\(3\) | −0.497882 | − | 0.497882i | −0.287453 | − | 0.287453i | 0.548620 | − | 0.836072i | \(-0.315154\pi\) |
−0.836072 | + | 0.548620i | \(0.815154\pi\) | |||||||
\(4\) | 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 | \(-0.465220\pi\) |
0.994036 | − | 0.109049i | \(-0.0347805\pi\) | |||||||
\(8\) | −1.68139 | + | 2.27441i | −0.594461 | + | 0.804124i | ||||
\(9\) | − | 2.50423i | − | 0.834742i | ||||||
\(10\) | 3.13074 | + | 0.445474i | 0.990028 | + | 0.140871i | ||||
\(11\) | 3.58797i | 1.08182i | 0.841082 | + | 0.540908i | \(0.181919\pi\) | ||||
−0.841082 | + | 0.540908i | \(0.818081\pi\) | |||||||
\(12\) | −1.38965 | − | 0.227966i | −0.401157 | − | 0.0658082i | ||||
\(13\) | −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 | \(-0.539761\pi\) | |||||||
\(18\) | 1.08509 | + | 3.37118i | 0.255758 | + | 0.794596i | ||||
\(19\) | 1.00000 | 0.229416 | ||||||||
\(20\) | −4.40762 | + | 0.756866i | −0.985575 | + | 0.169240i | ||||
\(21\) | −2.90613 | −0.634169 | ||||||||
\(22\) | −1.55468 | − | 4.83012i | −0.331459 | − | 1.02979i | ||||
\(23\) | −3.51712 | − | 3.51712i | −0.733370 | − | 0.733370i | 0.237916 | − | 0.971286i | \(-0.423536\pi\) |
−0.971286 | + | 0.237916i | \(0.923536\pi\) | |||||||
\(24\) | 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 | ||||
\(28\) | 1.33629 | − | 8.14585i | 0.252536 | − | 1.53942i | ||||
\(29\) | − | 4.88207i | − | 0.906578i | −0.891364 | − | 0.453289i | \(-0.850251\pi\) | ||
0.891364 | − | 0.453289i | \(-0.149749\pi\) | |||||||
\(30\) | −1.33695 | − | 1.78054i | −0.244092 | − | 0.325080i | ||||
\(31\) | 1.57175i | 0.282295i | 0.989989 | + | 0.141147i | \(0.0450791\pi\) | ||||
−0.989989 | + | 0.141147i | \(0.954921\pi\) | |||||||
\(32\) | −0.0780338 | + | 5.65632i | −0.0137946 | + | 0.999905i | ||||
\(33\) | 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 | \(0.969977\pi\) | |||||||
\(38\) | −1.34620 | + | 0.433304i | −0.218382 | + | 0.0702911i | ||||
\(39\) | 3.28481 | 0.525990 | ||||||||
\(40\) | 5.60558 | − | 2.92873i | 0.886320 | − | 0.463073i | ||||
\(41\) | −3.69344 | −0.576819 | −0.288409 | − | 0.957507i | \(-0.593126\pi\) | ||||
−0.288409 | + | 0.957507i | \(0.593126\pi\) | |||||||
\(42\) | 3.91222 | − | 1.25924i | 0.603669 | − | 0.194304i | ||||
\(43\) | −4.56114 | − | 4.56114i | −0.695568 | − | 0.695568i | 0.267884 | − | 0.963451i | \(-0.413676\pi\) |
−0.963451 | + | 0.267884i | \(0.913676\pi\) | |||||||
\(44\) | 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 | −0.814180 | − | 0.580612i | \(-0.802813\pi\) |
0.580612 | + | 0.814180i | \(0.302813\pi\) | |||||||
\(48\) | −2.52343 | + | 1.25087i | −0.364226 | + | 0.180547i | ||||
\(49\) | − | 10.0352i | − | 1.43359i | ||||||
\(50\) | −5.85953 | − | 3.95803i | −0.828662 | − | 0.559749i | ||||
\(51\) | 4.58517i | 0.642053i | ||||||||
\(52\) | −1.51042 | + | 9.20729i | −0.209457 | + | 1.27682i | ||||
\(53\) | 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 | ||||
\(58\) | 2.11542 | + | 6.57224i | 0.277768 | + | 0.862977i | ||||
\(59\) | 5.91948 | 0.770651 | 0.385325 | − | 0.922781i | \(-0.374089\pi\) | ||||
0.385325 | + | 0.922781i | \(0.374089\pi\) | |||||||
\(60\) | 2.57131 | + | 1.81765i | 0.331955 | + | 0.234657i | ||||
\(61\) | 0.536052 | 0.0686345 | 0.0343172 | − | 0.999411i | \(-0.489074\pi\) | ||||
0.0343172 | + | 0.999411i | \(0.489074\pi\) | |||||||
\(62\) | −0.681045 | − | 2.11589i | −0.0864928 | − | 0.268718i | ||||
\(63\) | −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 | −0.800287 | − | 0.599617i | \(-0.795319\pi\) |
0.599617 | + | 0.800287i | \(0.295319\pi\) | |||||||
\(68\) | −12.8522 | − | 2.10835i | −1.55856 | − | 0.255675i | ||||
\(69\) | 3.50222i | 0.421618i | ||||||||
\(70\) | 10.4372 | − | 7.83693i | 1.24748 | − | 0.936692i | ||||
\(71\) | − | 4.08253i | − | 0.484507i | −0.970213 | − | 0.242254i | \(-0.922113\pi\) | ||
0.970213 | − | 0.242254i | \(-0.0778866\pi\) | |||||||
\(72\) | 5.69563 | + | 4.21058i | 0.671236 | + | 0.496222i | ||||
\(73\) | −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 | ||||
\(78\) | −4.42200 | + | 1.42332i | −0.500693 | + | 0.161159i | ||||
\(79\) | −3.35832 | −0.377841 | −0.188920 | − | 0.981992i | \(-0.560499\pi\) | ||||
−0.188920 | + | 0.981992i | \(0.560499\pi\) | |||||||
\(80\) | −6.27719 | + | 6.37157i | −0.701811 | + | 0.712363i | ||||
\(81\) | −4.78383 | −0.531536 | ||||||||
\(82\) | 4.97210 | − | 1.60038i | 0.549077 | − | 0.176733i | ||||
\(83\) | 12.4301 | + | 12.4301i | 1.36439 | + | 1.36439i | 0.868238 | + | 0.496147i | \(0.165252\pi\) |
0.496147 | + | 0.868238i | \(0.334748\pi\) | |||||||
\(84\) | −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 | ||||
\(88\) | −8.16051 | − | 6.03279i | −0.869914 | − | 0.643097i | ||||
\(89\) | 11.9105i | 1.26251i | 0.775575 | + | 0.631256i | \(0.217460\pi\) | ||||
−0.775575 | + | 0.631256i | \(0.782540\pi\) | |||||||
\(90\) | 1.11557 | − | 7.84009i | 0.117591 | − | 0.826418i | ||||
\(91\) | 19.2549i | 2.01846i | ||||||||
\(92\) | −9.81671 | − | 1.61039i | −1.02346 | − | 0.167895i | ||||
\(93\) | 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 | \(0.897214\pi\) | |||||||
\(98\) | 4.34827 | + | 13.5093i | 0.439241 | + | 1.36465i | ||||
\(99\) | 8.98510 | 0.903037 | ||||||||
\(100\) | 9.60311 | + | 2.78933i | 0.960311 | + | 0.278933i | ||||
\(101\) | 2.22532 | 0.221427 | 0.110714 | − | 0.993852i | \(-0.464686\pi\) | ||||
0.110714 | + | 0.993852i | \(0.464686\pi\) | |||||||
\(102\) | −1.98677 | − | 6.17255i | −0.196720 | − | 0.611173i | ||||
\(103\) | 7.89357 | + | 7.89357i | 0.777777 | + | 0.777777i | 0.979452 | − | 0.201676i | \(-0.0646387\pi\) |
−0.201676 | + | 0.979452i | \(0.564639\pi\) | |||||||
\(104\) | −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 | −0.463052 | − | 0.886331i | \(-0.653246\pi\) |
0.886331 | + | 0.463052i | \(0.153246\pi\) | |||||||
\(108\) | −1.25478 | + | 7.64895i | −0.120741 | + | 0.736020i | ||||
\(109\) | − | 10.5140i | − | 1.00706i | −0.863978 | − | 0.503530i | \(-0.832034\pi\) | ||
0.863978 | − | 0.503530i | \(-0.167966\pi\) | |||||||
\(110\) | −1.59835 | + | 11.2330i | −0.152397 | + | 1.07103i | ||||
\(111\) | 5.45964i | 0.518206i | ||||||||
\(112\) | −7.33235 | − | 14.7919i | −0.692842 | − | 1.39770i | ||||
\(113\) | 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 | ||||
\(118\) | −7.96879 | + | 2.56493i | −0.733587 | + | 0.236121i | ||||
\(119\) | −26.8774 | −2.46385 | ||||||||
\(120\) | −4.24908 | − | 1.33276i | −0.387887 | − | 0.121664i | ||||
\(121\) | −1.87356 | −0.170324 | ||||||||
\(122\) | −0.721632 | + | 0.232273i | −0.0653335 | + | 0.0210290i | ||||
\(123\) | 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 | \(-0.463265\pi\) |
0.993348 | − | 0.115151i | \(-0.0367351\pi\) | |||||||
\(128\) | 6.47203 | + | 9.27970i | 0.572052 | + | 0.820217i | ||||
\(129\) | 4.54183i | 0.399886i | ||||||||
\(130\) | −11.7972 | + | 8.85811i | −1.03468 | + | 0.776908i | ||||
\(131\) | − | 6.66390i | − | 0.582227i | −0.956688 | − | 0.291114i | \(-0.905974\pi\) | ||
0.956688 | − | 0.291114i | \(-0.0940258\pi\) | |||||||
\(132\) | 0.817937 | − | 4.98603i | 0.0711923 | − | 0.433978i | ||||
\(133\) | 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 | \(0.618583\pi\) | |||||||
\(138\) | −1.51753 | − | 4.71469i | −0.129180 | − | 0.401341i | ||||
\(139\) | 6.81147 | 0.577741 | 0.288871 | − | 0.957368i | \(-0.406720\pi\) | ||||
0.288871 | + | 0.957368i | \(0.406720\pi\) | |||||||
\(140\) | −10.6547 | + | 15.0725i | −0.900487 | + | 1.27386i | ||||
\(141\) | 1.59448 | 0.134280 | ||||||||
\(142\) | 1.76897 | + | 5.49589i | 0.148449 | + | 0.461205i | ||||
\(143\) | −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 | ||||
\(148\) | −15.3033 | − | 2.51045i | −1.25793 | − | 0.206357i | ||||
\(149\) | − | 19.0682i | − | 1.56212i | −0.624453 | − | 0.781062i | \(-0.714678\pi\) | ||
0.624453 | − | 0.781062i | \(-0.285322\pi\) | |||||||
\(150\) | 0.946723 | + | 4.88799i | 0.0772996 | + | 0.399102i | ||||
\(151\) | − | 6.08117i | − | 0.494879i | −0.968903 | − | 0.247439i | \(-0.920411\pi\) | ||
0.968903 | − | 0.247439i | \(-0.0795891\pi\) | |||||||
\(152\) | −1.68139 | + | 2.27441i | −0.136379 | + | 0.184479i | ||||
\(153\) | −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 | \(0.611524\pi\) | |||||||
\(158\) | 4.52096 | − | 1.45517i | 0.359668 | − | 0.115767i | ||||
\(159\) | −2.11464 | −0.167702 | ||||||||
\(160\) | 5.68952 | − | 11.2973i | 0.449796 | − | 0.893131i | ||||
\(161\) | −20.5294 | −1.61794 | ||||||||
\(162\) | 6.43998 | − | 2.07285i | 0.505972 | − | 0.162858i | ||||
\(163\) | −10.0388 | − | 10.0388i | −0.786297 | − | 0.786297i | 0.194588 | − | 0.980885i | \(-0.437663\pi\) |
−0.980885 | + | 0.194588i | \(0.937663\pi\) | |||||||
\(164\) | −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 | \(-0.390082\pi\) |
0.940968 | − | 0.338497i | \(-0.109918\pi\) | |||||||
\(168\) | 4.88634 | − | 6.60972i | 0.376989 | − | 0.509951i | ||||
\(169\) | − | 8.76389i | − | 0.674146i | ||||||
\(170\) | −12.3648 | − | 16.4673i | −0.948336 | − | 1.26299i | ||||
\(171\) | − | 2.50423i | − | 0.191503i | ||||||
\(172\) | −12.7307 | − | 2.08842i | −0.970707 | − | 0.159240i | ||||
\(173\) | 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 | ||||
\(178\) | −5.16086 | − | 16.0339i | −0.386823 | − | 1.20179i | ||||
\(179\) | −13.0819 | −0.977785 | −0.488893 | − | 0.872344i | \(-0.662599\pi\) | ||||
−0.488893 | + | 0.872344i | \(0.662599\pi\) | |||||||
\(180\) | 1.89536 | + | 11.0377i | 0.141272 | + | 0.822701i | ||||
\(181\) | −17.1592 | −1.27543 | −0.637717 | − | 0.770271i | \(-0.720121\pi\) | ||||
−0.637717 | + | 0.770271i | \(0.720121\pi\) | |||||||
\(182\) | −8.34322 | − | 25.9209i | −0.618440 | − | 1.92139i | ||||
\(183\) | −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 | ||||
\(188\) | −0.733173 | + | 4.46932i | −0.0534721 | + | 0.325958i | ||||
\(189\) | 15.9960i | 1.16354i | ||||||||
\(190\) | 3.13074 | + | 0.445474i | 0.227128 | + | 0.0323181i | ||||
\(191\) | − | 15.3156i | − | 1.10820i | −0.832451 | − | 0.554098i | \(-0.813063\pi\) | ||
0.832451 | − | 0.554098i | \(-0.186937\pi\) | |||||||
\(192\) | −2.64001 | + | 4.97593i | −0.190526 | + | 0.359107i | ||||
\(193\) | −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 | \(0.582370\pi\) | |||||||
\(198\) | −12.0957 | + | 3.89328i | −0.859605 | + | 0.276683i | ||||
\(199\) | −4.22544 | −0.299533 | −0.149767 | − | 0.988721i | \(-0.547852\pi\) | ||||
−0.149767 | + | 0.988721i | \(0.547852\pi\) | |||||||
\(200\) | −14.1363 | + | 0.406068i | −0.999588 | + | 0.0287133i | ||||
\(201\) | 1.63559 | 0.115366 | ||||||||
\(202\) | −2.99572 | + | 0.964238i | −0.210778 | + | 0.0678436i | ||||
\(203\) | −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 | ||||
\(208\) | 8.28778 | + | 16.7193i | 0.574654 | + | 1.15927i | ||||
\(209\) | 3.58797i | 0.248185i | ||||||||
\(210\) | −9.09834 | − | 1.29461i | −0.627845 | − | 0.0893363i | ||||
\(211\) | 12.8281i | 0.883120i | 0.897232 | + | 0.441560i | \(0.145575\pi\) | ||||
−0.897232 | + | 0.441560i | \(0.854425\pi\) | |||||||
\(212\) | 0.972350 | − | 5.92731i | 0.0667813 | − | 0.407089i | ||||
\(213\) | −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 | ||||
\(218\) | 4.55576 | + | 14.1540i | 0.308555 | + | 0.958627i | ||||
\(219\) | 0.478931 | 0.0323631 | ||||||||
\(220\) | −2.71561 | − | 15.8144i | −0.183087 | − | 1.06621i | ||||
\(221\) | 30.3796 | 2.04355 | ||||||||
\(222\) | −2.36568 | − | 7.34975i | −0.158774 | − | 0.493283i | ||||
\(223\) | 13.4531 | + | 13.4531i | 0.900887 | + | 0.900887i | 0.995513 | − | 0.0946261i | \(-0.0301655\pi\) |
−0.0946261 | + | 0.995513i | \(0.530166\pi\) | |||||||
\(224\) | 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 | −0.999990 | − | 0.00444394i | \(-0.998585\pi\) |
0.00444394 | + | 0.999990i | \(0.498585\pi\) | |||||||
\(228\) | −1.38965 | − | 0.227966i | −0.0920318 | − | 0.0150974i | ||||
\(229\) | − | 21.4928i | − | 1.42028i | −0.704059 | − | 0.710141i | \(-0.748631\pi\) | ||
0.704059 | − | 0.710141i | \(-0.251369\pi\) | |||||||
\(230\) | −9.44441 | − | 12.5780i | −0.622746 | − | 0.829368i | ||||
\(231\) | − | 10.4271i | − | 0.686054i | ||||||
\(232\) | 11.1038 | + | 8.20867i | 0.729001 | + | 0.538926i | ||||
\(233\) | −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 | ||||
\(238\) | 36.1823 | − | 11.6461i | 2.34535 | − | 0.754902i | ||||
\(239\) | 22.8925 | 1.48079 | 0.740396 | − | 0.672171i | \(-0.234638\pi\) | ||||
0.740396 | + | 0.672171i | \(0.234638\pi\) | |||||||
\(240\) | 6.29760 | − | 0.0469882i | 0.406508 | − | 0.00303307i | ||||
\(241\) | 14.0297 | 0.903729 | 0.451865 | − | 0.892086i | \(-0.350759\pi\) | ||||
0.451865 | + | 0.892086i | \(0.350759\pi\) | |||||||
\(242\) | 2.52219 | − | 0.811822i | 0.162132 | − | 0.0521859i | ||||
\(243\) | 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 | ||||
\(248\) | −3.57480 | − | 2.64273i | −0.227000 | − | 0.167813i | ||||
\(249\) | − | 12.3775i | − | 0.784392i | ||||||
\(250\) | 7.91079 | + | 13.6901i | 0.500323 | + | 0.865839i | ||||
\(251\) | 5.28898i | 0.333838i | 0.985971 | + | 0.166919i | \(0.0533818\pi\) | ||||
−0.985971 | + | 0.166919i | \(0.946618\pi\) | |||||||
\(252\) | −20.3991 | − | 3.34638i | −1.28502 | − | 0.210802i | ||||
\(253\) | 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 | \(0.964256\pi\) | |||||||
\(258\) | −1.96799 | − | 6.11420i | −0.122522 | − | 0.380653i | ||||
\(259\) | −32.0033 | −1.98859 | ||||||||
\(260\) | 12.0430 | − | 17.0365i | 0.746878 | − | 1.05656i | ||||
\(261\) | −12.2258 | −0.756759 | ||||||||
\(262\) | 2.88749 | + | 8.97092i | 0.178390 | + | 0.554225i | ||||
\(263\) | −13.3767 | − | 13.3767i | −0.824840 | − | 0.824840i | 0.161958 | − | 0.986798i | \(-0.448219\pi\) |
−0.986798 | + | 0.161958i | \(0.948219\pi\) | |||||||
\(264\) | 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 | ||||
\(268\) | −0.752077 | + | 4.58455i | −0.0459404 | + | 0.280046i | ||||
\(269\) | 19.2906i | 1.17617i | 0.808801 | + | 0.588083i | \(0.200117\pi\) | ||||
−0.808801 | + | 0.588083i | \(0.799883\pi\) | |||||||
\(270\) | −9.80047 | + | 7.35887i | −0.596438 | + | 0.447846i | ||||
\(271\) | − | 15.6415i | − | 0.950152i | −0.879945 | − | 0.475076i | \(-0.842421\pi\) | ||
0.879945 | − | 0.475076i | \(-0.157579\pi\) | |||||||
\(272\) | −23.3380 | + | 11.5687i | −1.41507 | + | 0.701454i | ||||
\(273\) | 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 | \(0.882135\pi\) | |||||||
\(278\) | −9.16958 | + | 2.95143i | −0.549955 | + | 0.177015i | ||||
\(279\) | 3.93602 | 0.235643 | ||||||||
\(280\) | 7.81236 | − | 24.9073i | 0.466878 | − | 1.48850i | ||||
\(281\) | −6.05636 | −0.361292 | −0.180646 | − | 0.983548i | \(-0.557819\pi\) | ||||
−0.180646 | + | 0.983548i | \(0.557819\pi\) | |||||||
\(282\) | −2.14649 | + | 0.690894i | −0.127821 | + | 0.0411422i | ||||
\(283\) | 9.20805 | + | 9.20805i | 0.547362 | + | 0.547362i | 0.925677 | − | 0.378315i | \(-0.123496\pi\) |
−0.378315 | + | 0.925677i | \(0.623496\pi\) | |||||||
\(284\) | −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 | ||||
\(288\) | 14.1647 | + | 0.195414i | 0.834663 | + | 0.0115149i | ||||
\(289\) | 25.4060i | 1.49447i | ||||||||
\(290\) | 2.17484 | − | 15.2845i | 0.127711 | − | 0.897538i | ||||
\(291\) | 6.18818i | 0.362757i | ||||||||
\(292\) | −0.220221 | + | 1.34244i | −0.0128875 | + | 0.0785603i | ||||
\(293\) | 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 | ||||
\(298\) | 8.26230 | + | 25.6695i | 0.478622 | + | 1.48700i | ||||
\(299\) | 23.2044 | 1.34195 | ||||||||
\(300\) | −3.39246 | − | 6.16998i | −0.195864 | − | 0.356224i | ||||
\(301\) | −26.6233 | −1.53454 | ||||||||
\(302\) | 2.63499 | + | 8.18646i | 0.151627 | + | 0.471078i | ||||
\(303\) | −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 | −0.302523 | − | 0.953142i | \(-0.597829\pi\) |
0.953142 | + | 0.302523i | \(0.0978290\pi\) | |||||||
\(308\) | 29.2271 | + | 4.79459i | 1.66537 | + | 0.273197i | ||||
\(309\) | − | 7.86014i | − | 0.447148i | ||||||
\(310\) | −0.700174 | + | 4.92075i | −0.0397672 | + | 0.279480i | ||||
\(311\) | 11.0301i | 0.625460i | 0.949842 | + | 0.312730i | \(0.101244\pi\) | ||||
−0.949842 | + | 0.312730i | \(0.898756\pi\) | |||||||
\(312\) | −5.52305 | + | 7.47099i | −0.312681 | + | 0.422962i | ||||
\(313\) | 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 | \(0.992302\pi\) | |||||||
\(318\) | 2.84672 | − | 0.916279i | 0.159636 | − | 0.0513824i | ||||
\(319\) | 17.5168 | 0.980750 | ||||||||
\(320\) | −2.76405 | + | 17.6737i | −0.154515 | + | 0.987990i | ||||
\(321\) | −4.35990 | −0.243346 | ||||||||
\(322\) | 27.6366 | − | 8.89544i | 1.54013 | − | 0.495724i | ||||
\(323\) | −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 | ||||
\(328\) | 6.21012 | − | 8.40039i | 0.342897 | − | 0.463834i | ||||
\(329\) | 9.34653i | 0.515291i | ||||||||
\(330\) | 6.38852 | − | 4.79694i | 0.351676 | − | 0.264063i | ||||
\(331\) | 24.2555i | 1.33320i | 0.745414 | + | 0.666602i | \(0.232252\pi\) | ||||
−0.745414 | + | 0.666602i | \(0.767748\pi\) | |||||||
\(332\) | 34.6940 | + | 5.69141i | 1.90408 | + | 0.312357i | ||||
\(333\) | −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 | \(0.522868\pi\) | |||||||
\(338\) | 3.79743 | + | 11.7979i | 0.206553 | + | 0.641723i | ||||
\(339\) | −9.59089 | −0.520905 | ||||||||
\(340\) | 23.7808 | + | 16.8106i | 1.28969 | + | 0.911680i | ||||
\(341\) | −5.63940 | −0.305391 | ||||||||
\(342\) | 1.08509 | + | 3.37118i | 0.0586749 | + | 0.182293i | ||||
\(343\) | −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 | −0.809967 | − | 0.586476i | \(-0.800515\pi\) |
0.586476 | + | 0.809967i | \(0.300515\pi\) | |||||||
\(348\) | −1.11295 | + | 6.78437i | −0.0596603 | + | 0.363681i | ||||
\(349\) | − | 25.4964i | − | 1.36479i | −0.730983 | − | 0.682396i | \(-0.760938\pi\) | ||
0.730983 | − | 0.682396i | \(-0.239062\pi\) | |||||||
\(350\) | −28.6524 | + | 5.54951i | −1.53154 | + | 0.296634i | ||||
\(351\) | − | 18.0803i | − | 0.965057i | ||||||
\(352\) | −20.2947 | − | 0.279983i | −1.08171 | − | 0.0149232i | ||||
\(353\) | 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 | ||||
\(358\) | 17.6108 | − | 5.66842i | 0.930759 | − | 0.299585i | ||||
\(359\) | 10.8276 | 0.571458 | 0.285729 | − | 0.958310i | \(-0.407764\pi\) | ||||
0.285729 | + | 0.958310i | \(0.407764\pi\) | |||||||
\(360\) | −7.33420 | − | 14.0376i | −0.386546 | − | 0.739849i | ||||
\(361\) | 1.00000 | 0.0526316 | ||||||||
\(362\) | 23.0997 | − | 7.43514i | 1.21409 | − | 0.390782i | ||||
\(363\) | 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 | \(0.527938\pi\) |
−0.996151 | + | 0.0876562i | \(0.972062\pi\) | |||||||
\(368\) | −17.8259 | + | 8.83634i | −0.929240 | + | 0.460626i | ||||
\(369\) | 9.24922i | 0.481495i | ||||||||
\(370\) | −14.7230 | − | 19.6079i | −0.765410 | − | 1.01937i | ||||
\(371\) | − | 12.3956i | − | 0.643546i | ||||||
\(372\) | 0.358306 | − | 2.18418i | 0.0185773 | − | 0.113245i | ||||
\(373\) | 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 | ||||
\(378\) | −6.93112 | − | 21.5338i | −0.356498 | − | 1.10758i | ||||
\(379\) | −17.2442 | −0.885776 | −0.442888 | − | 0.896577i | \(-0.646046\pi\) | ||||
−0.442888 | + | 0.896577i | \(0.646046\pi\) | |||||||
\(380\) | −4.40762 | + | 0.756866i | −0.226106 | + | 0.0388264i | ||||
\(381\) | −12.4392 | −0.637282 | ||||||||
\(382\) | 6.63629 | + | 20.6178i | 0.339542 | + | 1.05490i | ||||
\(383\) | 8.79528 | + | 8.79528i | 0.449418 | + | 0.449418i | 0.895161 | − | 0.445743i | \(-0.147061\pi\) |
−0.445743 | + | 0.895161i | \(0.647061\pi\) | |||||||
\(384\) | 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 | ||||
\(388\) | −17.3454 | − | 2.84544i | −0.880580 | − | 0.144455i | ||||
\(389\) | − | 22.5652i | − | 1.14410i | −0.820219 | − | 0.572049i | \(-0.806149\pi\) | ||
0.820219 | − | 0.572049i | \(-0.193851\pi\) | |||||||
\(390\) | 10.2839 | + | 1.46330i | 0.520745 | + | 0.0740970i | ||||
\(391\) | 32.3904i | 1.63805i | ||||||||
\(392\) | 22.8240 | + | 16.8730i | 1.15279 | + | 0.852216i | ||||
\(393\) | −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 | \(0.589618\pi\) | |||||||
\(398\) | 5.68827 | − | 1.83090i | 0.285127 | − | 0.0917746i | ||||
\(399\) | −2.90613 | −0.145488 | ||||||||
\(400\) | 18.8543 | − | 6.67196i | 0.942715 | − | 0.333598i | ||||
\(401\) | 33.3363 | 1.66474 | 0.832368 | − | 0.554224i | \(-0.186985\pi\) | ||||
0.832368 | + | 0.554224i | \(0.186985\pi\) | |||||||
\(402\) | −2.20183 | + | 0.708708i | −0.109817 | + | 0.0353472i | ||||
\(403\) | −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 | ||||
\(408\) | −10.4285 | − | 7.70947i | −0.516290 | − | 0.381675i | ||||
\(409\) | 2.78416i | 0.137668i | 0.997628 | + | 0.0688339i | \(0.0219279\pi\) | ||||
−0.997628 | + | 0.0688339i | \(0.978072\pi\) | |||||||
\(410\) | −11.5632 | − | 1.64533i | −0.571067 | − | 0.0812573i | ||||
\(411\) | − | 6.61340i | − | 0.326215i | ||||||
\(412\) | 22.0319 | + | 3.61424i | 1.08543 | + | 0.178061i | ||||
\(413\) | 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 | ||||
\(418\) | −1.55468 | − | 4.83012i | −0.0760420 | − | 0.236249i | ||||
\(419\) | −21.3153 | −1.04132 | −0.520661 | − | 0.853763i | \(-0.674315\pi\) | ||||
−0.520661 | + | 0.853763i | \(0.674315\pi\) | |||||||
\(420\) | 12.8091 | − | 2.19955i | 0.625021 | − | 0.107327i | ||||
\(421\) | −11.5106 | −0.560994 | −0.280497 | − | 0.959855i | \(-0.590499\pi\) | ||||
−0.280497 | + | 0.959855i | \(0.590499\pi\) | |||||||
\(422\) | −5.55845 | − | 17.2691i | −0.270581 | − | 0.840647i | ||||
\(423\) | 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 | ||||
\(428\) | 2.00476 | − | 12.2208i | 0.0969040 | − | 0.590713i | ||||
\(429\) | 11.7858i | 0.569024i | ||||||||
\(430\) | −12.2479 | − | 16.3116i | −0.590646 | − | 0.786617i | ||||
\(431\) | − | 8.99333i | − | 0.433193i | −0.976261 | − | 0.216597i | \(-0.930504\pi\) | ||
0.976261 | − | 0.216597i | \(-0.0694957\pi\) | |||||||
\(432\) | 6.88507 | + | 13.8895i | 0.331258 | + | 0.668261i | ||||
\(433\) | −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 | ||||
\(438\) | −0.644735 | + | 0.207522i | −0.0308066 | + | 0.00991580i | ||||
\(439\) | −20.8810 | −0.996595 | −0.498298 | − | 0.867006i | \(-0.666041\pi\) | ||||
−0.498298 | + | 0.867006i | \(0.666041\pi\) | |||||||
\(440\) | 10.5082 | + | 20.1127i | 0.500959 | + | 0.958835i | ||||
\(441\) | −25.1303 | −1.19668 | ||||||||
\(442\) | −40.8970 | + | 13.1636i | −1.94527 | + | 0.626128i | ||||
\(443\) | 21.5183 | + | 21.5183i | 1.02237 | + | 1.02237i | 0.999744 | + | 0.0226219i | \(0.00720139\pi\) |
0.0226219 | + | 0.999744i | \(0.492799\pi\) | |||||||
\(444\) | 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 | ||||
\(448\) | −29.1679 | − | 15.4752i | −1.37805 | − | 0.731136i | ||||
\(449\) | − | 18.9308i | − | 0.893398i | −0.894684 | − | 0.446699i | \(-0.852600\pi\) | ||
0.894684 | − | 0.446699i | \(-0.147400\pi\) | |||||||
\(450\) | −9.91179 | + | 14.6736i | −0.467246 | + | 0.691719i | ||||
\(451\) | − | 13.2520i | − | 0.624011i | ||||||
\(452\) | 4.41007 | − | 26.8832i | 0.207432 | − | 1.26448i | ||||
\(453\) | −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 | \(0.734079\pi\) | |||||||
\(458\) | 9.31290 | + | 28.9335i | 0.435163 | + | 1.35197i | ||||
\(459\) | 25.2378 | 1.17800 | ||||||||
\(460\) | 18.1641 | + | 12.8402i | 0.846907 | + | 0.598675i | ||||
\(461\) | −17.0301 | −0.793171 | −0.396586 | − | 0.917998i | \(-0.629805\pi\) | ||||
−0.396586 | + | 0.917998i | \(0.629805\pi\) | |||||||
\(462\) | 4.51811 | + | 14.0370i | 0.210201 | + | 0.653059i | ||||
\(463\) | 17.2053 | + | 17.2053i | 0.799599 | + | 0.799599i | 0.983032 | − | 0.183433i | \(-0.0587210\pi\) |
−0.183433 | + | 0.983032i | \(0.558721\pi\) | |||||||
\(464\) | −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 | −0.884634 | − | 0.466286i | \(-0.845592\pi\) |
0.466286 | + | 0.884634i | \(0.345592\pi\) | |||||||
\(468\) | 23.0571 | + | 3.78243i | 1.06582 | + | 0.174843i | ||||
\(469\) | 9.58753i | 0.442711i | ||||||||
\(470\) | −5.72646 | + | 4.29982i | −0.264142 | + | 0.198336i | ||||
\(471\) | − | 7.43634i | − | 0.342649i | ||||||
\(472\) | −9.95296 | + | 13.4633i | −0.458122 | + | 0.619699i | ||||
\(473\) | 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 | ||||
\(478\) | −30.8178 | + | 9.91940i | −1.40957 | + | 0.453703i | ||||
\(479\) | −21.6356 | −0.988556 | −0.494278 | − | 0.869304i | \(-0.664568\pi\) | ||||
−0.494278 | + | 0.869304i | \(0.664568\pi\) | |||||||
\(480\) | −8.45745 | + | 2.79203i | −0.386028 | + | 0.127438i | ||||
\(481\) | 36.1735 | 1.64937 | ||||||||
\(482\) | −18.8867 | + | 6.07910i | −0.860265 | + | 0.276895i | ||||
\(483\) | 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 | −0.956505 | − | 0.291715i | \(-0.905774\pi\) |
0.291715 | + | 0.956505i | \(0.405774\pi\) | |||||||
\(488\) | −0.901313 | + | 1.21920i | −0.0408005 | + | 0.0551906i | ||||
\(489\) | 9.99625i | 0.452046i | ||||||||
\(490\) | 4.47040 | − | 31.4175i | 0.201952 | − | 1.41930i | ||||
\(491\) | 30.4922i | 1.37609i | 0.725667 | + | 0.688047i | \(0.241532\pi\) | ||||
−0.725667 | + | 0.688047i | \(0.758468\pi\) | |||||||
\(492\) | 5.13259 | + | 0.841981i | 0.231395 | + | 0.0379594i | ||||
\(493\) | −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 | ||||
\(498\) | 5.36322 | + | 16.6626i | 0.240331 | + | 0.746667i | ||||
\(499\) | −25.7578 | −1.15308 | −0.576538 | − | 0.817071i | \(-0.695597\pi\) | ||||
−0.576538 | + | 0.817071i | \(0.695597\pi\) | |||||||
\(500\) | −16.5815 | − | 15.0018i | −0.741546 | − | 0.670902i | ||||
\(501\) | −16.4643 | −0.735571 | ||||||||
\(502\) | −2.29173 | − | 7.12001i | −0.102285 | − | 0.317782i | ||||
\(503\) | 5.81236 | + | 5.81236i | 0.259161 | + | 0.259161i | 0.824713 | − | 0.565552i | \(-0.191337\pi\) |
−0.565552 | + | 0.824713i | \(0.691337\pi\) | |||||||
\(504\) | 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 | ||||
\(508\) | 5.71980 | − | 34.8671i | 0.253775 | − | 1.54698i | ||||
\(509\) | 21.8822i | 0.969912i | 0.874539 | + | 0.484956i | \(0.161164\pi\) | ||||
−0.874539 | + | 0.484956i | \(0.838836\pi\) | |||||||
\(510\) | −2.04258 | + | 14.3550i | −0.0904468 | + | 0.635650i | ||||
\(511\) | 2.80740i | 0.124192i | ||||||||
\(512\) | 21.3397 | + | 7.52441i | 0.943091 | + | 0.332535i | ||||
\(513\) | −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 | ||||
\(518\) | 43.0828 | − | 13.8672i | 1.89295 | − | 0.609288i | ||||
\(519\) | −5.30467 | −0.232849 | ||||||||
\(520\) | −8.83034 | + | 28.1528i | −0.387236 | + | 1.23458i | ||||
\(521\) | −30.5569 | −1.33872 | −0.669361 | − | 0.742937i | \(-0.733432\pi\) | ||||
−0.669361 | + | 0.742937i | \(0.733432\pi\) | |||||||
\(522\) | 16.4584 | − | 5.29749i | 0.720363 | − | 0.231865i | ||||
\(523\) | −28.6213 | − | 28.6213i | −1.25152 | − | 1.25152i | −0.955037 | − | 0.296487i | \(-0.904185\pi\) |
−0.296487 | − | 0.955037i | \(-0.595815\pi\) | |||||||
\(524\) | −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 | ||||
\(528\) | −4.48809 | − | 9.05401i | −0.195319 | − | 0.394025i | ||||
\(529\) | 1.74027i | 0.0756638i | ||||||||
\(530\) | 7.59456 | − | 5.70252i | 0.329887 | − | 0.247702i | ||||
\(531\) | − | 14.8237i | − | 0.643295i | ||||||
\(532\) | 1.33629 | − | 8.14585i | 0.0579357 | − | 0.353168i | ||||
\(533\) | 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 | ||||
\(538\) | −8.35866 | − | 25.9689i | −0.360368 | − | 1.11960i | ||||
\(539\) | 36.0059 | 1.55088 | ||||||||
\(540\) | 10.0048 | − | 14.1531i | 0.430536 | − | 0.609051i | ||||
\(541\) | 4.01340 | 0.172549 | 0.0862747 | − | 0.996271i | \(-0.472504\pi\) | ||||
0.0862747 | + | 0.996271i | \(0.472504\pi\) | |||||||
\(542\) | 6.77751 | + | 21.0565i | 0.291119 | + | 0.904455i | ||||
\(543\) | 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 | −0.670804 | − | 0.741635i | \(-0.734051\pi\) |
0.741635 | + | 0.670804i | \(0.234051\pi\) | |||||||
\(548\) | 18.5373 | + | 3.04097i | 0.791875 | + | 0.129904i | ||||
\(549\) | − | 1.34240i | − | 0.0572921i | ||||||
\(550\) | 14.2013 | − | 21.0238i | 0.605545 | − | 0.896459i | ||||
\(551\) | − | 4.88207i | − | 0.207983i | ||||||
\(552\) | −7.96548 | − | 5.88861i | −0.339034 | − | 0.250636i | ||||
\(553\) | −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 | \(-0.659458\pi\) | |||||||
\(558\) | −5.29866 | + | 1.70549i | −0.224310 | + | 0.0721992i | ||||
\(559\) | 30.0924 | 1.27277 | ||||||||
\(560\) | 0.275435 | + | 36.9153i | 0.0116393 | + | 1.55995i | ||||
\(561\) | −16.4515 | −0.694582 | ||||||||
\(562\) | 8.15306 | − | 2.62424i | 0.343916 | − | 0.110697i | ||||
\(563\) | −23.6795 | − | 23.6795i | −0.997973 | − | 0.997973i | 0.00202496 | − | 0.999998i | \(-0.499355\pi\) |
−0.999998 | + | 0.00202496i | \(0.999355\pi\) | |||||||
\(564\) | 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 | ||||
\(568\) | 9.28533 | + | 6.86433i | 0.389604 | + | 0.288021i | ||||
\(569\) | − | 4.84313i | − | 0.203035i | −0.994834 | − | 0.101517i | \(-0.967630\pi\) | ||
0.994834 | − | 0.101517i | \(-0.0323697\pi\) | |||||||
\(570\) | −1.33695 | − | 1.78054i | −0.0559986 | − | 0.0745784i | ||||
\(571\) | 26.9143i | 1.12633i | 0.826345 | + | 0.563164i | \(0.190416\pi\) | ||||
−0.826345 | + | 0.563164i | \(0.809584\pi\) | |||||||
\(572\) | −33.0355 | − | 5.41934i | −1.38128 | − | 0.226594i | ||||
\(573\) | −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 | \(0.635349\pi\) | |||||||
\(578\) | −11.0085 | − | 34.2016i | −0.457894 | − | 1.42260i | ||||
\(579\) | 12.6953 | 0.527600 | ||||||||
\(580\) | 3.69507 | + | 21.5183i | 0.153430 | + | 0.893501i | ||||
\(581\) | 72.5545 | 3.01007 | ||||||||
\(582\) | −2.68136 | − | 8.33051i | −0.111146 | − | 0.345311i | ||||
\(583\) | 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 | −0.697156 | − | 0.716919i | \(-0.745552\pi\) |
0.716919 | + | 0.697156i | \(0.245552\pi\) | |||||||
\(588\) | −2.28768 | + | 13.9454i | −0.0943422 | + | 0.575097i | ||||
\(589\) | 1.57175i | 0.0647628i | ||||||||
\(590\) | 18.5324 | + | 2.63698i | 0.762966 | + | 0.108563i | ||||
\(591\) | − | 9.93442i | − | 0.408647i | ||||||
\(592\) | −27.7889 | + | 13.7750i | −1.14212 | + | 0.566150i | ||||
\(593\) | 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 | ||||
\(598\) | −31.2377 | + | 10.0546i | −1.27741 | + | 0.411161i | ||||
\(599\) | −1.72828 | −0.0706158 | −0.0353079 | − | 0.999376i | \(-0.511241\pi\) | ||||
−0.0353079 | + | 0.999376i | \(0.511241\pi\) | |||||||
\(600\) | 7.24039 | + | 6.83604i | 0.295588 | + | 0.279080i | ||||
\(601\) | −26.9304 | −1.09852 | −0.549258 | − | 0.835653i | \(-0.685090\pi\) | ||||
−0.549258 | + | 0.835653i | \(0.685090\pi\) | |||||||
\(602\) | 35.8402 | − | 11.5360i | 1.46074 | − | 0.470171i | ||||
\(603\) | 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 | −0.330065 | − | 0.943958i | \(-0.607071\pi\) |
0.943958 | + | 0.330065i | \(0.107071\pi\) | |||||||
\(608\) | −0.0780338 | + | 5.65632i | −0.00316469 | + | 0.229394i | ||||
\(609\) | 14.1879i | 0.574924i | ||||||||
\(610\) | 1.67824 | + | 0.238798i | 0.0679500 | + | 0.00966863i | ||||
\(611\) | − | 10.5644i | − | 0.427391i | ||||||
\(612\) | −5.27979 | + | 32.1848i | −0.213423 | + | 1.30099i | ||||
\(613\) | −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 | \(0.926344\pi\) | |||||||
\(618\) | 3.40583 | + | 10.5813i | 0.137002 | + | 0.425643i | ||||
\(619\) | 16.9676 | 0.681984 | 0.340992 | − | 0.940066i | \(-0.389237\pi\) | ||||
0.340992 | + | 0.940066i | \(0.389237\pi\) | |||||||
\(620\) | −1.18960 | − | 6.92768i | −0.0477756 | − | 0.278223i | ||||
\(621\) | 19.2770 | 0.773561 | ||||||||
\(622\) | −4.77939 | − | 14.8487i | −0.191636 | − | 0.595379i | ||||
\(623\) | 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 | ||||
\(628\) | 20.8440 | + | 3.41937i | 0.831766 | + | 0.136448i | ||||
\(629\) | 50.4936i | 2.01331i | ||||||||
\(630\) | −19.6254 | − | 26.1370i | −0.781896 | − | 1.04132i | ||||
\(631\) | − | 26.7082i | − | 1.06324i | −0.846984 | − | 0.531619i | \(-0.821584\pi\) | ||
0.846984 | − | 0.531619i | \(-0.178416\pi\) | |||||||
\(632\) | 5.64665 | − | 7.63819i | 0.224612 | − | 0.303831i | ||||
\(633\) | 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 | ||||
\(638\) | −23.5810 | + | 7.59007i | −0.933581 | + | 0.300494i | ||||
\(639\) | −10.2236 | −0.404439 | ||||||||
\(640\) | −3.93713 | − | 24.9900i | −0.155629 | − | 0.987816i | ||||
\(641\) | 3.98093 | 0.157237 | 0.0786186 | − | 0.996905i | \(-0.474949\pi\) | ||||
0.0786186 | + | 0.996905i | \(0.474949\pi\) | |||||||
\(642\) | 5.86928 | − | 1.88916i | 0.231642 | − | 0.0745592i | ||||
\(643\) | −6.39670 | − | 6.39670i | −0.252261 | − | 0.252261i | 0.569636 | − | 0.821897i | \(-0.307084\pi\) |
−0.821897 | + | 0.569636i | \(0.807084\pi\) | |||||||
\(644\) | −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 | −0.176230 | − | 0.984349i | \(-0.556390\pi\) |
0.984349 | + | 0.176230i | \(0.0563901\pi\) | |||||||
\(648\) | 8.04348 | − | 10.8804i | 0.315978 | − | 0.427421i | ||||
\(649\) | 21.2389i | 0.833702i | ||||||||
\(650\) | 32.3859 | − | 6.27263i | 1.27028 | − | 0.246033i | ||||
\(651\) | − | 4.56771i | − | 0.179023i | ||||||
\(652\) | −28.0194 | − | 4.59647i | −1.09732 | − | 0.180012i | ||||
\(653\) | −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 | ||||
\(658\) | −4.04989 | − | 12.5823i | −0.157881 | − | 0.490508i | ||||
\(659\) | 9.30532 | 0.362484 | 0.181242 | − | 0.983439i | \(-0.441988\pi\) | ||||
0.181242 | + | 0.983439i | \(0.441988\pi\) | |||||||
\(660\) | −6.52168 | + | 9.22579i | −0.253856 | + | 0.359113i | ||||
\(661\) | 20.9486 | 0.814805 | 0.407402 | − | 0.913249i | \(-0.366435\pi\) | ||||
0.407402 | + | 0.913249i | \(0.366435\pi\) | |||||||
\(662\) | −10.5100 | − | 32.6527i | −0.408483 | − | 1.26908i | ||||
\(663\) | −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 | ||||
\(668\) | 7.57060 | − | 46.1493i | 0.292915 | − | 1.78557i | ||||
\(669\) | − | 13.3961i | − | 0.517924i | ||||||
\(670\) | −5.87411 | + | 4.41069i | −0.226937 | + | 0.170400i | ||||
\(671\) | 1.92334i | 0.0742498i | ||||||||
\(672\) | 0.226776 | − | 16.4380i | 0.00874809 | − | 0.634109i | ||||
\(673\) | −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 | \(0.923837\pi\) | |||||||
\(678\) | 12.9112 | − | 4.15577i | 0.495853 | − | 0.159601i | ||||
\(679\) | −36.2739 | −1.39206 | ||||||||
\(680\) | −39.2977 | − | 12.3260i | −1.50700 | − | 0.472682i | ||||
\(681\) | 14.9359 | 0.572345 | ||||||||
\(682\) | 7.59175 | − | 2.44357i | 0.290703 | − | 0.0935692i | ||||
\(683\) | 12.0794 | + | 12.0794i | 0.462204 | + | 0.462204i | 0.899377 | − | 0.437173i | \(-0.144020\pi\) |
−0.437173 | + | 0.899377i | \(0.644020\pi\) | |||||||
\(684\) | −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 | ||||
\(688\) | −23.1174 | + | 11.4593i | −0.881342 | + | 0.436882i | ||||
\(689\) | 14.0108i | 0.533768i | ||||||||
\(690\) | −1.56015 | + | 10.9646i | −0.0593939 | + | 0.417414i | ||||
\(691\) | − | 16.1397i | − | 0.613985i | −0.951712 | − | 0.306992i | \(-0.900677\pi\) | ||
0.951712 | − | 0.306992i | \(-0.0993226\pi\) | |||||||
\(692\) | 2.43919 | − | 14.8689i | 0.0927240 | − | 0.565232i | ||||
\(693\) | 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 | ||||
\(698\) | 11.0477 | + | 34.3232i | 0.418161 | + | 1.29915i | ||||
\(699\) | 1.80941 | 0.0684383 | ||||||||
\(700\) | 36.1672 | − | 19.8859i | 1.36699 | − | 0.751617i | ||||
\(701\) | 1.39112 | 0.0525418 | 0.0262709 | − | 0.999655i | \(-0.491637\pi\) | ||||
0.0262709 | + | 0.999655i | \(0.491637\pi\) | |||||||
\(702\) | 7.83427 | + | 24.3397i | 0.295686 | + | 0.918643i | ||||
\(703\) | −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 | ||||
\(708\) | −8.22601 | − | 1.34944i | −0.309152 | − | 0.0507151i | ||||
\(709\) | 0.442717i | 0.0166266i | 0.999965 | + | 0.00831330i | \(0.00264624\pi\) | ||||
−0.999965 | + | 0.00831330i | \(0.997354\pi\) | |||||||
\(710\) | 1.81866 | − | 12.7814i | 0.0682532 | − | 0.479676i | ||||
\(711\) | 8.40999i | 0.315399i | ||||||||
\(712\) | −27.0893 | − | 20.0262i | −1.01522 | − | 0.750514i | ||||
\(713\) | 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 | ||||
\(718\) | −14.5761 | + | 4.69163i | −0.543974 | + | 0.175090i | ||||
\(719\) | −3.55928 | −0.132739 | −0.0663694 | − | 0.997795i | \(-0.521142\pi\) | ||||
−0.0663694 | + | 0.997795i | \(0.521142\pi\) | |||||||
\(720\) | 15.9558 | + | 15.7195i | 0.594639 | + | 0.585831i | ||||
\(721\) | 46.0746 | 1.71591 | ||||||||
\(722\) | −1.34620 | + | 0.433304i | −0.0501003 | + | 0.0161259i | ||||
\(723\) | −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 | −0.0635627 | − | 0.997978i | \(-0.520246\pi\) |
0.997978 | + | 0.0635627i | \(0.0202463\pi\) | |||||||
\(728\) | −43.7935 | − | 32.3750i | −1.62309 | − | 1.19990i | ||||
\(729\) | 3.79323i | 0.140490i | ||||||||
\(730\) | −1.72004 | + | 1.29153i | −0.0636617 | + | 0.0478016i | ||||
\(731\) | 42.0052i | 1.55362i | ||||||||
\(732\) | −0.744925 | − | 0.122202i | −0.0275332 | − | 0.00451671i | ||||
\(733\) | −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 | ||||
\(738\) | −4.00772 | − | 12.4513i | −0.147526 | − | 0.458338i | ||||
\(739\) | 50.2765 | 1.84945 | 0.924725 | − | 0.380635i | \(-0.124294\pi\) | ||||
0.924725 | + | 0.380635i | \(0.124294\pi\) | |||||||
\(740\) | 28.3162 | + | 20.0166i | 1.04092 | + | 0.735825i | ||||
\(741\) | 3.28481 | 0.120670 | ||||||||
\(742\) | 5.37105 | + | 16.6869i | 0.197177 | + | 0.612595i | ||||
\(743\) | −17.6854 | − | 17.6854i | −0.648814 | − | 0.648814i | 0.303893 | − | 0.952706i | \(-0.401714\pi\) |
−0.952706 | + | 0.303893i | \(0.901714\pi\) | |||||||
\(744\) | 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 | ||||
\(748\) | 7.56471 | − | 46.1134i | 0.276593 | − | 1.68607i | ||||
\(749\) | − | 25.5569i | − | 0.933827i | ||||||
\(750\) | 2.87742 | − | 10.7547i | 0.105069 | − | 0.392707i | ||||
\(751\) | − | 40.6953i | − | 1.48499i | −0.669851 | − | 0.742496i | \(-0.733642\pi\) | ||
0.669851 | − | 0.742496i | \(-0.266358\pi\) | |||||||
\(752\) | 4.02298 | + | 8.11573i | 0.146703 | + | 0.295950i | ||||
\(753\) | 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 | \(0.638313\pi\) | |||||||
\(758\) | 23.2141 | − | 7.47198i | 0.843175 | − | 0.271394i | ||||
\(759\) | −12.5659 | −0.456113 | ||||||||
\(760\) | 5.60558 | − | 2.92873i | 0.203336 | − | 0.106236i | ||||
\(761\) | 37.9781 | 1.37670 | 0.688352 | − | 0.725377i | \(-0.258334\pi\) | ||||
0.688352 | + | 0.725377i | \(0.258334\pi\) | |||||||
\(762\) | 16.7457 | − | 5.38997i | 0.606632 | − | 0.195258i | ||||
\(763\) | −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 | ||||
\(768\) | 1.51635 | + | 11.1633i | 0.0547166 | + | 0.402820i | ||||
\(769\) | 32.0784i | 1.15678i | 0.815762 | + | 0.578388i | \(0.196318\pi\) | ||||
−0.815762 | + | 0.578388i | \(0.803682\pi\) | |||||||
\(770\) |