Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [630,2,Mod(23,630)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(630, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([10, 9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("630.23");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 630 = 2 \cdot 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 630.cd (of order \(12\), degree \(4\), 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: | \(5.03057532734\) |
Analytic rank: | \(0\) |
Dimension: | \(192\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 23.9 | ||
Character | \(\chi\) | \(=\) | 630.23 |
Dual form | 630.2.cd.a.137.9 |
$q$-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 \(\left(\mathbb{Z}/630\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(281\) | \(451\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.707107 | − | 0.707107i | −0.500000 | − | 0.500000i | ||||
\(3\) | −0.853456 | − | 1.50719i | −0.492743 | − | 0.870175i | ||||
\(4\) | 1.00000i | 0.500000i | ||||||||
\(5\) | −2.22267 | + | 0.244427i | −0.994008 | + | 0.109311i | ||||
\(6\) | −0.462258 | + | 1.66923i | −0.188716 | + | 0.681459i | ||||
\(7\) | 2.34249 | − | 1.22994i | 0.885377 | − | 0.464873i | ||||
\(8\) | 0.707107 | − | 0.707107i | 0.250000 | − | 0.250000i | ||||
\(9\) | −1.54323 | + | 2.57264i | −0.514409 | + | 0.857545i | ||||
\(10\) | 1.74450 | + | 1.39883i | 0.551659 | + | 0.442348i | ||||
\(11\) | −4.18245 | − | 2.41474i | −1.26106 | − | 0.728071i | −0.287777 | − | 0.957697i | \(-0.592916\pi\) |
−0.973279 | + | 0.229626i | \(0.926250\pi\) | |||||||
\(12\) | 1.50719 | − | 0.853456i | 0.435087 | − | 0.246372i | ||||
\(13\) | −0.177591 | + | 0.0475855i | −0.0492550 | + | 0.0131978i | −0.283362 | − | 0.959013i | \(-0.591450\pi\) |
0.234107 | + | 0.972211i | \(0.424783\pi\) | |||||||
\(14\) | −2.52609 | − | 0.786692i | −0.675125 | − | 0.210252i | ||||
\(15\) | 2.26535 | + | 3.14137i | 0.584910 | + | 0.811098i | ||||
\(16\) | −1.00000 | −0.250000 | ||||||||
\(17\) | −1.82699 | + | 6.81840i | −0.443109 | + | 1.65371i | 0.277772 | + | 0.960647i | \(0.410404\pi\) |
−0.720881 | + | 0.693059i | \(0.756263\pi\) | |||||||
\(18\) | 2.91035 | − | 0.727903i | 0.685977 | − | 0.171568i | ||||
\(19\) | −1.09576 | − | 0.632638i | −0.251385 | − | 0.145137i | 0.369013 | − | 0.929424i | \(-0.379696\pi\) |
−0.620398 | + | 0.784287i | \(0.713029\pi\) | |||||||
\(20\) | −0.244427 | − | 2.22267i | −0.0546556 | − | 0.497004i | ||||
\(21\) | −3.85296 | − | 2.48087i | −0.840784 | − | 0.541370i | ||||
\(22\) | 1.24996 | + | 4.66492i | 0.266492 | + | 0.994563i | ||||
\(23\) | −1.20545 | − | 0.322999i | −0.251354 | − | 0.0673500i | 0.130942 | − | 0.991390i | \(-0.458200\pi\) |
−0.382296 | + | 0.924040i | \(0.624866\pi\) | |||||||
\(24\) | −1.66923 | − | 0.462258i | −0.340729 | − | 0.0943579i | ||||
\(25\) | 4.88051 | − | 1.08656i | 0.976102 | − | 0.217312i | ||||
\(26\) | 0.159224 | + | 0.0919281i | 0.0312264 | + | 0.0180286i | ||||
\(27\) | 5.19452 | + | 0.130298i | 0.999686 | + | 0.0250759i | ||||
\(28\) | 1.22994 | + | 2.34249i | 0.232436 | + | 0.442689i | ||||
\(29\) | 2.32602 | + | 4.02879i | 0.431931 | + | 0.748127i | 0.997040 | − | 0.0768897i | \(-0.0244989\pi\) |
−0.565108 | + | 0.825017i | \(0.691166\pi\) | |||||||
\(30\) | 0.619441 | − | 3.82313i | 0.113094 | − | 0.698004i | ||||
\(31\) | −5.64567 | −1.01399 | −0.506996 | − | 0.861948i | \(-0.669244\pi\) | ||||
−0.506996 | + | 0.861948i | \(0.669244\pi\) | |||||||
\(32\) | 0.707107 | + | 0.707107i | 0.125000 | + | 0.125000i | ||||
\(33\) | −0.0699256 | + | 8.36461i | −0.0121725 | + | 1.45609i | ||||
\(34\) | 6.11321 | − | 3.52947i | 1.04841 | − | 0.605298i | ||||
\(35\) | −4.90595 | + | 3.30631i | −0.829256 | + | 0.558869i | ||||
\(36\) | −2.57264 | − | 1.54323i | −0.428773 | − | 0.257204i | ||||
\(37\) | 2.60690 | + | 9.72908i | 0.428572 | + | 1.59945i | 0.755998 | + | 0.654574i | \(0.227152\pi\) |
−0.327426 | + | 0.944877i | \(0.606181\pi\) | |||||||
\(38\) | 0.327478 | + | 1.22216i | 0.0531239 | + | 0.198261i | ||||
\(39\) | 0.223287 | + | 0.227051i | 0.0357545 | + | 0.0363573i | ||||
\(40\) | −1.39883 | + | 1.74450i | −0.221174 | + | 0.275830i | ||||
\(41\) | 4.51180 | + | 2.60489i | 0.704624 | + | 0.406815i | 0.809067 | − | 0.587716i | \(-0.199973\pi\) |
−0.104443 | + | 0.994531i | \(0.533306\pi\) | |||||||
\(42\) | 0.970213 | + | 4.47869i | 0.149707 | + | 0.691077i | ||||
\(43\) | −0.513956 | + | 1.91811i | −0.0783775 | + | 0.292509i | −0.993978 | − | 0.109581i | \(-0.965049\pi\) |
0.915600 | + | 0.402089i | \(0.131716\pi\) | |||||||
\(44\) | 2.41474 | − | 4.18245i | 0.364036 | − | 0.630528i | ||||
\(45\) | 2.80126 | − | 6.09532i | 0.417587 | − | 0.908637i | ||||
\(46\) | 0.623987 | + | 1.08078i | 0.0920018 | + | 0.159352i | ||||
\(47\) | 0.893226 | + | 0.893226i | 0.130290 | + | 0.130290i | 0.769245 | − | 0.638954i | \(-0.220633\pi\) |
−0.638954 | + | 0.769245i | \(0.720633\pi\) | |||||||
\(48\) | 0.853456 | + | 1.50719i | 0.123186 | + | 0.217544i | ||||
\(49\) | 3.97450 | − | 5.76223i | 0.567786 | − | 0.823176i | ||||
\(50\) | −4.21936 | − | 2.68273i | −0.596707 | − | 0.379395i | ||||
\(51\) | 11.8359 | − | 3.06560i | 1.65735 | − | 0.429270i | ||||
\(52\) | −0.0475855 | − | 0.177591i | −0.00659892 | − | 0.0246275i | ||||
\(53\) | 2.52372 | + | 0.676229i | 0.346660 | + | 0.0928872i | 0.427948 | − | 0.903803i | \(-0.359237\pi\) |
−0.0812881 | + | 0.996691i | \(0.525903\pi\) | |||||||
\(54\) | −3.58094 | − | 3.76521i | −0.487305 | − | 0.512381i | ||||
\(55\) | 9.88643 | + | 4.34486i | 1.33309 | + | 0.585861i | ||||
\(56\) | 0.786692 | − | 2.52609i | 0.105126 | − | 0.337563i | ||||
\(57\) | −0.0183198 | + | 2.19145i | −0.00242652 | + | 0.290264i | ||||
\(58\) | 1.20404 | − | 4.49353i | 0.158098 | − | 0.590029i | ||||
\(59\) | 1.35120 | 0.175911 | 0.0879557 | − | 0.996124i | \(-0.471967\pi\) | ||||
0.0879557 | + | 0.996124i | \(0.471967\pi\) | |||||||
\(60\) | −3.14137 | + | 2.26535i | −0.405549 | + | 0.292455i | ||||
\(61\) | −11.6088 | −1.48636 | −0.743178 | − | 0.669094i | \(-0.766682\pi\) | ||||
−0.743178 | + | 0.669094i | \(0.766682\pi\) | |||||||
\(62\) | 3.99209 | + | 3.99209i | 0.506996 | + | 0.506996i | ||||
\(63\) | −0.450805 | + | 7.92444i | −0.0567961 | + | 0.998386i | ||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | 0.383096 | − | 0.149175i | 0.0475172 | − | 0.0185029i | ||||
\(66\) | 5.96411 | − | 5.86523i | 0.734132 | − | 0.721959i | ||||
\(67\) | 8.89129 | − | 8.89129i | 1.08624 | − | 1.08624i | 0.0903319 | − | 0.995912i | \(-0.471207\pi\) |
0.995912 | − | 0.0903319i | \(-0.0287928\pi\) | |||||||
\(68\) | −6.81840 | − | 1.82699i | −0.826853 | − | 0.221555i | ||||
\(69\) | 0.541978 | + | 2.09250i | 0.0652465 | + | 0.251908i | ||||
\(70\) | 5.80694 | + | 1.13111i | 0.694062 | + | 0.135194i | ||||
\(71\) | 1.54376i | 0.183211i | 0.995795 | + | 0.0916053i | \(0.0291998\pi\) | ||||
−0.995795 | + | 0.0916053i | \(0.970800\pi\) | |||||||
\(72\) | 0.727903 | + | 2.91035i | 0.0857842 | + | 0.342988i | ||||
\(73\) | −3.26694 | + | 12.1924i | −0.382367 | + | 1.42701i | 0.459910 | + | 0.887966i | \(0.347882\pi\) |
−0.842276 | + | 0.539046i | \(0.818785\pi\) | |||||||
\(74\) | 5.03614 | − | 8.72285i | 0.585440 | − | 1.01401i | ||||
\(75\) | −5.80295 | − | 6.42851i | −0.670067 | − | 0.742300i | ||||
\(76\) | 0.632638 | − | 1.09576i | 0.0725686 | − | 0.125693i | ||||
\(77\) | −12.7673 | − | 0.512342i | −1.45497 | − | 0.0583868i | ||||
\(78\) | 0.00266204 | − | 0.318437i | 0.000301416 | − | 0.0360559i | ||||
\(79\) | 9.24893i | 1.04059i | 0.853988 | + | 0.520293i | \(0.174177\pi\) | ||||
−0.853988 | + | 0.520293i | \(0.825823\pi\) | |||||||
\(80\) | 2.22267 | − | 0.244427i | 0.248502 | − | 0.0273278i | ||||
\(81\) | −4.23691 | − | 7.94031i | −0.470768 | − | 0.882257i | ||||
\(82\) | −1.34839 | − | 5.03225i | −0.148905 | − | 0.555720i | ||||
\(83\) | −9.37820 | − | 2.51288i | −1.02939 | − | 0.275825i | −0.295681 | − | 0.955287i | \(-0.595546\pi\) |
−0.733710 | + | 0.679462i | \(0.762213\pi\) | |||||||
\(84\) | 2.48087 | − | 3.85296i | 0.270685 | − | 0.420392i | ||||
\(85\) | 2.39418 | − | 15.6016i | 0.259685 | − | 1.69223i | ||||
\(86\) | 1.71973 | − | 0.992886i | 0.185443 | − | 0.107066i | ||||
\(87\) | 4.08698 | − | 6.94414i | 0.438170 | − | 0.744490i | ||||
\(88\) | −4.66492 | + | 1.24996i | −0.497282 | + | 0.133246i | ||||
\(89\) | −4.15534 | + | 7.19726i | −0.440465 | + | 0.762908i | −0.997724 | − | 0.0674311i | \(-0.978520\pi\) |
0.557259 | + | 0.830339i | \(0.311853\pi\) | |||||||
\(90\) | −6.29083 | + | 2.32926i | −0.663112 | + | 0.245525i | ||||
\(91\) | −0.357479 | + | 0.329895i | −0.0374739 | + | 0.0345824i | ||||
\(92\) | 0.322999 | − | 1.20545i | 0.0336750 | − | 0.125677i | ||||
\(93\) | 4.81833 | + | 8.50908i | 0.499638 | + | 0.882351i | ||||
\(94\) | − | 1.26321i | − | 0.130290i | ||||||
\(95\) | 2.59015 | + | 1.13831i | 0.265744 | + | 0.116788i | ||||
\(96\) | 0.462258 | − | 1.66923i | 0.0471790 | − | 0.170365i | ||||
\(97\) | −9.63550 | − | 2.58182i | −0.978337 | − | 0.262144i | −0.265993 | − | 0.963975i | \(-0.585700\pi\) |
−0.712344 | + | 0.701831i | \(0.752366\pi\) | |||||||
\(98\) | −6.88491 | + | 1.26411i | −0.695481 | + | 0.127695i | ||||
\(99\) | 12.6667 | − | 7.03343i | 1.27305 | − | 0.706887i | ||||
\(100\) | 1.08656 | + | 4.88051i | 0.108656 | + | 0.488051i | ||||
\(101\) | −12.4479 | − | 7.18677i | −1.23861 | − | 0.715110i | −0.269798 | − | 0.962917i | \(-0.586957\pi\) |
−0.968810 | + | 0.247807i | \(0.920290\pi\) | |||||||
\(102\) | −10.5369 | − | 6.20151i | −1.04331 | − | 0.614041i | ||||
\(103\) | −4.77148 | + | 17.8074i | −0.470148 | + | 1.75462i | 0.169083 | + | 0.985602i | \(0.445920\pi\) |
−0.639231 | + | 0.769015i | \(0.720747\pi\) | |||||||
\(104\) | −0.0919281 | + | 0.159224i | −0.00901429 | + | 0.0156132i | ||||
\(105\) | 9.17024 | + | 4.57238i | 0.894924 | + | 0.446219i | ||||
\(106\) | −1.30637 | − | 2.26271i | −0.126886 | − | 0.219773i | ||||
\(107\) | −0.774365 | + | 0.207491i | −0.0748607 | + | 0.0200589i | −0.296055 | − | 0.955171i | \(-0.595671\pi\) |
0.221194 | + | 0.975230i | \(0.429005\pi\) | |||||||
\(108\) | −0.130298 | + | 5.19452i | −0.0125379 | + | 0.499843i | ||||
\(109\) | 5.81142 | − | 3.35523i | 0.556634 | − | 0.321373i | −0.195160 | − | 0.980771i | \(-0.562523\pi\) |
0.751793 | + | 0.659399i | \(0.229189\pi\) | |||||||
\(110\) | −3.91848 | − | 10.0630i | −0.373612 | − | 0.959473i | ||||
\(111\) | 12.4387 | − | 12.2324i | 1.18063 | − | 1.16105i | ||||
\(112\) | −2.34249 | + | 1.22994i | −0.221344 | + | 0.116218i | ||||
\(113\) | −1.44770 | − | 5.40288i | −0.136188 | − | 0.508260i | −0.999990 | − | 0.00442910i | \(-0.998590\pi\) |
0.863802 | − | 0.503831i | \(-0.168076\pi\) | |||||||
\(114\) | 1.56254 | − | 1.53663i | 0.146345 | − | 0.143919i | ||||
\(115\) | 2.75827 | + | 0.423276i | 0.257210 | + | 0.0394707i | ||||
\(116\) | −4.02879 | + | 2.32602i | −0.374064 | + | 0.215966i | ||||
\(117\) | 0.151643 | − | 0.530313i | 0.0140194 | − | 0.0490275i | ||||
\(118\) | −0.955444 | − | 0.955444i | −0.0879557 | − | 0.0879557i | ||||
\(119\) | 4.10652 | + | 18.2191i | 0.376444 | + | 1.67014i | ||||
\(120\) | 3.82313 | + | 0.619441i | 0.349002 | + | 0.0565470i | ||||
\(121\) | 6.16192 | + | 10.6728i | 0.560175 | + | 0.970251i | ||||
\(122\) | 8.20867 | + | 8.20867i | 0.743178 | + | 0.743178i | ||||
\(123\) | 0.0754318 | − | 9.02328i | 0.00680146 | − | 0.813602i | ||||
\(124\) | − | 5.64567i | − | 0.506996i | ||||||
\(125\) | −10.5822 | + | 3.60799i | −0.946498 | + | 0.322709i | ||||
\(126\) | 5.92219 | − | 5.28466i | 0.527591 | − | 0.470795i | ||||
\(127\) | −2.18708 | + | 2.18708i | −0.194072 | + | 0.194072i | −0.797453 | − | 0.603381i | \(-0.793820\pi\) |
0.603381 | + | 0.797453i | \(0.293820\pi\) | |||||||
\(128\) | −0.707107 | + | 0.707107i | −0.0625000 | + | 0.0625000i | ||||
\(129\) | 3.32959 | − | 0.862394i | 0.293154 | − | 0.0759296i | ||||
\(130\) | −0.376372 | − | 0.165407i | −0.0330100 | − | 0.0145071i | ||||
\(131\) | −13.7180 | + | 7.92011i | −1.19855 | + | 0.691983i | −0.960232 | − | 0.279204i | \(-0.909929\pi\) |
−0.238318 | + | 0.971187i | \(0.576596\pi\) | |||||||
\(132\) | −8.36461 | − | 0.0699256i | −0.728046 | − | 0.00608624i | ||||
\(133\) | −3.34492 | − | 0.134229i | −0.290041 | − | 0.0116391i | ||||
\(134\) | −12.5742 | −1.08624 | ||||||||
\(135\) | −11.5775 | + | 0.980072i | −0.996436 | + | 0.0843511i | ||||
\(136\) | 3.52947 | + | 6.11321i | 0.302649 | + | 0.524204i | ||||
\(137\) | 6.98457 | − | 1.87151i | 0.596732 | − | 0.159894i | 0.0522037 | − | 0.998636i | \(-0.483375\pi\) |
0.544528 | + | 0.838743i | \(0.316709\pi\) | |||||||
\(138\) | 1.09639 | − | 1.86286i | 0.0933307 | − | 0.158577i | ||||
\(139\) | −13.1934 | − | 7.61723i | −1.11905 | − | 0.646085i | −0.177893 | − | 0.984050i | \(-0.556928\pi\) |
−0.941159 | + | 0.337965i | \(0.890262\pi\) | |||||||
\(140\) | −3.30631 | − | 4.90595i | −0.279434 | − | 0.414628i | ||||
\(141\) | 0.583929 | − | 2.10859i | 0.0491757 | − | 0.177575i | ||||
\(142\) | 1.09160 | − | 1.09160i | 0.0916053 | − | 0.0916053i | ||||
\(143\) | 0.857673 | + | 0.229813i | 0.0717222 | + | 0.0192179i | ||||
\(144\) | 1.54323 | − | 2.57264i | 0.128602 | − | 0.214386i | ||||
\(145\) | −6.15472 | − | 8.38612i | −0.511122 | − | 0.696429i | ||||
\(146\) | 10.9314 | − | 6.31125i | 0.904689 | − | 0.522323i | ||||
\(147\) | −12.0768 | − | 1.07251i | −0.996080 | − | 0.0884591i | ||||
\(148\) | −9.72908 | + | 2.60690i | −0.799725 | + | 0.214286i | ||||
\(149\) | −9.44270 | − | 16.3552i | −0.773576 | − | 1.33987i | −0.935591 | − | 0.353085i | \(-0.885133\pi\) |
0.162015 | − | 0.986788i | \(-0.448201\pi\) | |||||||
\(150\) | −0.442337 | + | 8.64895i | −0.0361167 | + | 0.706184i | ||||
\(151\) | −7.70459 | + | 13.3447i | −0.626991 | + | 1.08598i | 0.361162 | + | 0.932503i | \(0.382380\pi\) |
−0.988152 | + | 0.153477i | \(0.950953\pi\) | |||||||
\(152\) | −1.22216 | + | 0.327478i | −0.0991306 | + | 0.0265620i | ||||
\(153\) | −14.7218 | − | 15.2225i | −1.19019 | − | 1.23067i | ||||
\(154\) | 8.66558 | + | 9.39014i | 0.698292 | + | 0.756679i | ||||
\(155\) | 12.5485 | − | 1.37996i | 1.00792 | − | 0.110841i | ||||
\(156\) | −0.227051 | + | 0.223287i | −0.0181787 | + | 0.0178772i | ||||
\(157\) | −6.60761 | + | 6.60761i | −0.527345 | + | 0.527345i | −0.919780 | − | 0.392435i | \(-0.871633\pi\) |
0.392435 | + | 0.919780i | \(0.371633\pi\) | |||||||
\(158\) | 6.53998 | − | 6.53998i | 0.520293 | − | 0.520293i | ||||
\(159\) | −1.13468 | − | 4.38085i | −0.0899861 | − | 0.347424i | ||||
\(160\) | −1.74450 | − | 1.39883i | −0.137915 | − | 0.110587i | ||||
\(161\) | −3.22102 | + | 0.726007i | −0.253852 | + | 0.0572173i | ||||
\(162\) | −2.61870 | + | 8.61060i | −0.205745 | + | 0.676512i | ||||
\(163\) | −3.75065 | + | 1.00498i | −0.293774 | + | 0.0787164i | −0.402696 | − | 0.915334i | \(-0.631927\pi\) |
0.108922 | + | 0.994050i | \(0.465260\pi\) | |||||||
\(164\) | −2.60489 | + | 4.51180i | −0.203407 | + | 0.352312i | ||||
\(165\) | −1.88912 | − | 18.6088i | −0.147067 | − | 1.44870i | ||||
\(166\) | 4.85451 | + | 8.40826i | 0.376783 | + | 0.652608i | ||||
\(167\) | 17.5223 | − | 4.69510i | 1.35592 | − | 0.363318i | 0.493603 | − | 0.869687i | \(-0.335679\pi\) |
0.862317 | + | 0.506369i | \(0.169013\pi\) | |||||||
\(168\) | −4.47869 | + | 0.970213i | −0.345539 | + | 0.0748535i | ||||
\(169\) | −11.2291 | + | 6.48310i | −0.863774 | + | 0.498700i | ||||
\(170\) | −12.7249 | + | 9.33907i | −0.975959 | + | 0.716274i | ||||
\(171\) | 3.31856 | − | 1.84269i | 0.253776 | − | 0.140914i | ||||
\(172\) | −1.91811 | − | 0.513956i | −0.146254 | − | 0.0391888i | ||||
\(173\) | 13.9299 | − | 13.9299i | 1.05907 | − | 1.05907i | 0.0609304 | − | 0.998142i | \(-0.480593\pi\) |
0.998142 | − | 0.0609304i | \(-0.0194068\pi\) | |||||||
\(174\) | −7.80018 | + | 2.02032i | −0.591330 | + | 0.153160i | ||||
\(175\) | 10.0961 | − | 8.54798i | 0.763196 | − | 0.646167i | ||||
\(176\) | 4.18245 | + | 2.41474i | 0.315264 | + | 0.182018i | ||||
\(177\) | −1.15319 | − | 2.03651i | −0.0866791 | − | 0.153074i | ||||
\(178\) | 8.02750 | − | 2.15096i | 0.601686 | − | 0.161221i | ||||
\(179\) | −6.59655 | − | 11.4256i | −0.493049 | − | 0.853986i | 0.506919 | − | 0.861994i | \(-0.330784\pi\) |
−0.999968 | + | 0.00800778i | \(0.997451\pi\) | |||||||
\(180\) | 6.09532 | + | 2.80126i | 0.454319 | + | 0.208793i | ||||
\(181\) | −16.6832 | −1.24005 | −0.620027 | − | 0.784580i | \(-0.712879\pi\) | ||||
−0.620027 | + | 0.784580i | \(0.712879\pi\) | |||||||
\(182\) | 0.486046 | + | 0.0195046i | 0.0360282 | + | 0.00144578i | ||||
\(183\) | 9.90761 | + | 17.4967i | 0.732392 | + | 1.29339i | ||||
\(184\) | −1.08078 | + | 0.623987i | −0.0796759 | + | 0.0460009i | ||||
\(185\) | −8.17232 | − | 20.9873i | −0.600841 | − | 1.54302i | ||||
\(186\) | 2.60976 | − | 9.42391i | 0.191357 | − | 0.690994i | ||||
\(187\) | 24.1059 | − | 24.1059i | 1.76280 | − | 1.76280i | ||||
\(188\) | −0.893226 | + | 0.893226i | −0.0651452 | + | 0.0651452i | ||||
\(189\) | 12.3284 | − | 6.08372i | 0.896756 | − | 0.442525i | ||||
\(190\) | −1.02660 | − | 2.63642i | −0.0744777 | − | 0.191266i | ||||
\(191\) | − | 13.8102i | − | 0.999269i | −0.866236 | − | 0.499634i | \(-0.833468\pi\) | ||
0.866236 | − | 0.499634i | \(-0.166532\pi\) | |||||||
\(192\) | −1.50719 | + | 0.853456i | −0.108772 | + | 0.0615929i | ||||
\(193\) | −2.67173 | − | 2.67173i | −0.192316 | − | 0.192316i | 0.604380 | − | 0.796696i | \(-0.293421\pi\) |
−0.796696 | + | 0.604380i | \(0.793421\pi\) | |||||||
\(194\) | 4.98770 | + | 8.63895i | 0.358096 | + | 0.620241i | ||||
\(195\) | −0.551790 | − | 0.450082i | −0.0395145 | − | 0.0322311i | ||||
\(196\) | 5.76223 | + | 3.97450i | 0.411588 | + | 0.283893i | ||||
\(197\) | 5.44571 | + | 5.44571i | 0.387991 | + | 0.387991i | 0.873970 | − | 0.485979i | \(-0.161537\pi\) |
−0.485979 | + | 0.873970i | \(0.661537\pi\) | |||||||
\(198\) | −13.9301 | − | 3.98332i | −0.989969 | − | 0.283083i | ||||
\(199\) | 11.0581 | − | 6.38441i | 0.783890 | − | 0.452579i | −0.0539173 | − | 0.998545i | \(-0.517171\pi\) |
0.837807 | + | 0.545966i | \(0.183837\pi\) | |||||||
\(200\) | 2.68273 | − | 4.21936i | 0.189698 | − | 0.298354i | ||||
\(201\) | −20.9892 | − | 5.81251i | −1.48046 | − | 0.409983i | ||||
\(202\) | 3.72015 | + | 13.8838i | 0.261749 | + | 0.976859i | ||||
\(203\) | 10.4038 | + | 6.57653i | 0.730206 | + | 0.461582i | ||||
\(204\) | 3.06560 | + | 11.8359i | 0.214635 | + | 0.828676i | ||||
\(205\) | −10.6649 | − | 4.68699i | −0.744871 | − | 0.327354i | ||||
\(206\) | 15.9657 | − | 9.21780i | 1.11238 | − | 0.642234i | ||||
\(207\) | 2.69124 | − | 2.60272i | 0.187054 | − | 0.180902i | ||||
\(208\) | 0.177591 | − | 0.0475855i | 0.0123137 | − | 0.00329946i | ||||
\(209\) | 3.05531 | + | 5.29196i | 0.211340 | + | 0.366052i | ||||
\(210\) | −3.25117 | − | 9.71750i | −0.224352 | − | 0.670571i | ||||
\(211\) | 4.03431 | − | 6.98763i | 0.277734 | − | 0.481049i | −0.693088 | − | 0.720853i | \(-0.743750\pi\) |
0.970821 | + | 0.239805i | \(0.0770834\pi\) | |||||||
\(212\) | −0.676229 | + | 2.52372i | −0.0464436 | + | 0.173330i | ||||
\(213\) | 2.32673 | − | 1.31753i | 0.159425 | − | 0.0902757i | ||||
\(214\) | 0.694277 | + | 0.400841i | 0.0474598 | + | 0.0274009i | ||||
\(215\) | 0.673516 | − | 4.38895i | 0.0459334 | − | 0.299324i | ||||
\(216\) | 3.76521 | − | 3.58094i | 0.256190 | − | 0.243652i | ||||
\(217\) | −13.2249 | + | 6.94383i | −0.897766 | + | 0.471378i | ||||
\(218\) | −6.48180 | − | 1.73679i | −0.439003 | − | 0.117631i | ||||
\(219\) | 21.1644 | − | 5.48178i | 1.43016 | − | 0.370424i | ||||
\(220\) | −4.34486 | + | 9.88643i | −0.292930 | + | 0.666543i | ||||
\(221\) | − | 1.29783i | − | 0.0873013i | ||||||
\(222\) | −17.4451 | − | 0.145836i | −1.17084 | − | 0.00978785i | ||||
\(223\) | 3.84121 | − | 14.3356i | 0.257227 | − | 0.959983i | −0.709611 | − | 0.704593i | \(-0.751129\pi\) |
0.966838 | − | 0.255390i | \(-0.0822038\pi\) | |||||||
\(224\) | 2.52609 | + | 0.786692i | 0.168781 | + | 0.0525631i | ||||
\(225\) | −4.73640 | + | 14.2326i | −0.315760 | + | 0.948839i | ||||
\(226\) | −2.79673 | + | 4.84409i | −0.186036 | + | 0.322224i | ||||
\(227\) | 3.01823 | − | 0.808732i | 0.200327 | − | 0.0536774i | −0.157260 | − | 0.987557i | \(-0.550266\pi\) |
0.357587 | + | 0.933880i | \(0.383600\pi\) | |||||||
\(228\) | −2.19145 | − | 0.0183198i | −0.145132 | − | 0.00121326i | ||||
\(229\) | 12.4975 | − | 7.21542i | 0.825856 | − | 0.476808i | −0.0265755 | − | 0.999647i | \(-0.508460\pi\) |
0.852432 | + | 0.522838i | \(0.175127\pi\) | |||||||
\(230\) | −1.65109 | − | 2.24969i | −0.108869 | − | 0.148340i | ||||
\(231\) | 10.1241 | + | 19.6800i | 0.666120 | + | 1.29485i | ||||
\(232\) | 4.49353 | + | 1.20404i | 0.295015 | + | 0.0790489i | ||||
\(233\) | 3.89376 | + | 14.5317i | 0.255089 | + | 0.952004i | 0.968041 | + | 0.250792i | \(0.0806909\pi\) |
−0.712952 | + | 0.701213i | \(0.752642\pi\) | |||||||
\(234\) | −0.482216 | + | 0.267760i | −0.0315234 | + | 0.0175040i | ||||
\(235\) | −2.20367 | − | 1.76702i | −0.143752 | − | 0.115267i | ||||
\(236\) | 1.35120i | 0.0879557i | ||||||||
\(237\) | 13.9399 | − | 7.89356i | 0.905492 | − | 0.512742i | ||||
\(238\) | 9.97911 | − | 15.7866i | 0.646849 | − | 1.02329i | ||||
\(239\) | −12.0443 | + | 20.8613i | −0.779078 | + | 1.34940i | 0.153396 | + | 0.988165i | \(0.450979\pi\) |
−0.932474 | + | 0.361238i | \(0.882354\pi\) | |||||||
\(240\) | −2.26535 | − | 3.14137i | −0.146228 | − | 0.202775i | ||||
\(241\) | −4.75148 | + | 8.22980i | −0.306070 | + | 0.530128i | −0.977499 | − | 0.210940i | \(-0.932347\pi\) |
0.671429 | + | 0.741069i | \(0.265681\pi\) | |||||||
\(242\) | 3.18965 | − | 11.9039i | 0.205038 | − | 0.765213i | ||||
\(243\) | −8.35152 | + | 13.1625i | −0.535750 | + | 0.844376i | ||||
\(244\) | − | 11.6088i | − | 0.743178i | ||||||
\(245\) | −7.42556 | + | 13.7790i | −0.474402 | + | 0.880309i | ||||
\(246\) | −6.43376 | + | 6.32708i | −0.410201 | + | 0.403400i | ||||
\(247\) | 0.224702 | + | 0.0602088i | 0.0142975 | + | 0.00383099i | ||||
\(248\) | −3.99209 | + | 3.99209i | −0.253498 | + | 0.253498i | ||||
\(249\) | 4.21650 | + | 16.2793i | 0.267210 | + | 1.03166i | ||||
\(250\) | 10.0340 | + | 4.93149i | 0.634604 | + | 0.311895i | ||||
\(251\) | 27.1128i | 1.71135i | 0.517516 | + | 0.855674i | \(0.326857\pi\) | ||||
−0.517516 | + | 0.855674i | \(0.673143\pi\) | |||||||
\(252\) | −7.92444 | − | 0.450805i | −0.499193 | − | 0.0283980i | ||||
\(253\) | 4.26177 | + | 4.26177i | 0.267935 | + | 0.267935i | ||||
\(254\) | 3.09299 | 0.194072 | ||||||||
\(255\) | −25.5579 | + | 9.70681i | −1.60050 | + | 0.607864i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | −3.55961 | + | 13.2847i | −0.222043 | + | 0.828674i | 0.761525 | + | 0.648135i | \(0.224451\pi\) |
−0.983568 | + | 0.180539i | \(0.942216\pi\) | |||||||
\(258\) | −2.96418 | − | 1.74457i | −0.184542 | − | 0.108612i | ||||
\(259\) | 18.0728 | + | 19.5839i | 1.12299 | + | 1.21689i | ||||
\(260\) | 0.149175 | + | 0.383096i | 0.00925143 | + | 0.0237586i | ||||
\(261\) | −13.9542 | − | 0.233322i | −0.863742 | − | 0.0144423i | ||||
\(262\) | 15.3005 | + | 4.09975i | 0.945266 | + | 0.253283i | ||||
\(263\) | −0.0411747 | − | 0.153666i | −0.00253894 | − | 0.00947545i | 0.964645 | − | 0.263554i | \(-0.0848946\pi\) |
−0.967184 | + | 0.254078i | \(0.918228\pi\) | |||||||
\(264\) | 5.86523 | + | 5.96411i | 0.360980 | + | 0.367066i | ||||
\(265\) | −5.77468 | − | 0.886167i | −0.354736 | − | 0.0544368i | ||||
\(266\) | 2.27030 | + | 2.46013i | 0.139201 | + | 0.150840i | ||||
\(267\) | 14.3940 | + | 0.120330i | 0.880899 | + | 0.00736405i | ||||
\(268\) | 8.89129 | + | 8.89129i | 0.543122 | + | 0.543122i | ||||
\(269\) | 6.12973 | + | 10.6170i | 0.373736 | + | 0.647330i | 0.990137 | − | 0.140103i | \(-0.0447433\pi\) |
−0.616401 | + | 0.787432i | \(0.711410\pi\) | |||||||
\(270\) | 8.87957 | + | 7.49354i | 0.540394 | + | 0.456042i | ||||
\(271\) | 13.7993 | − | 23.9011i | 0.838249 | − | 1.45189i | −0.0531090 | − | 0.998589i | \(-0.516913\pi\) |
0.891358 | − | 0.453301i | \(-0.149754\pi\) | |||||||
\(272\) | 1.82699 | − | 6.81840i | 0.110777 | − | 0.413426i | ||||
\(273\) | 0.802305 | + | 0.257236i | 0.0485577 | + | 0.0155686i | ||||
\(274\) | −6.26219 | − | 3.61548i | −0.378313 | − | 0.218419i | ||||
\(275\) | −23.0362 | − | 7.24067i | −1.38914 | − | 0.436629i | ||||
\(276\) | −2.09250 | + | 0.541978i | −0.125954 | + | 0.0326232i | ||||
\(277\) | −1.06946 | − | 3.99129i | −0.0642579 | − | 0.239814i | 0.926326 | − | 0.376724i | \(-0.122949\pi\) |
−0.990583 | + | 0.136910i | \(0.956283\pi\) | |||||||
\(278\) | 3.94297 | + | 14.7154i | 0.236484 | + | 0.882568i | ||||
\(279\) | 8.71255 | − | 14.5243i | 0.521607 | − | 0.869545i | ||||
\(280\) | −1.13111 | + | 5.80694i | −0.0675968 | + | 0.347031i | ||||
\(281\) | 17.9800 | − | 10.3808i | 1.07260 | − | 0.619264i | 0.143707 | − | 0.989620i | \(-0.454098\pi\) |
0.928890 | + | 0.370356i | \(0.120764\pi\) | |||||||
\(282\) | −1.90390 | + | 1.07810i | −0.113375 | + | 0.0641997i | ||||
\(283\) | 6.22568 | + | 6.22568i | 0.370078 | + | 0.370078i | 0.867506 | − | 0.497427i | \(-0.165722\pi\) |
−0.497427 | + | 0.867506i | \(0.665722\pi\) | |||||||
\(284\) | −1.54376 | −0.0916053 | ||||||||
\(285\) | −0.494930 | − | 4.87534i | −0.0293171 | − | 0.288790i | ||||
\(286\) | −0.443964 | − | 0.768969i | −0.0262522 | − | 0.0454701i | ||||
\(287\) | 13.7727 | + | 0.552687i | 0.812976 | + | 0.0326241i | ||||
\(288\) | −2.91035 | + | 0.727903i | −0.171494 | + | 0.0428921i | ||||
\(289\) | −28.4303 | − | 16.4143i | −1.67237 | − | 0.965544i | ||||
\(290\) | −1.57784 | + | 10.2819i | −0.0926537 | + | 0.603775i | ||||
\(291\) | 4.33218 | + | 16.7260i | 0.253957 | + | 0.980494i | ||||
\(292\) | −12.1924 | − | 3.26694i | −0.713506 | − | 0.191183i | ||||
\(293\) | −4.99037 | − | 18.6243i | −0.291541 | − | 1.08804i | −0.943926 | − | 0.330157i | \(-0.892898\pi\) |
0.652385 | − | 0.757888i | \(-0.273768\pi\) | |||||||
\(294\) | 7.78123 | + | 9.29798i | 0.453810 | + | 0.542269i | ||||
\(295\) | −3.00327 | + | 0.330270i | −0.174857 | + | 0.0192291i | ||||
\(296\) | 8.72285 | + | 5.03614i | 0.507006 | + | 0.292720i | ||||
\(297\) | −21.4112 | − | 13.0884i | −1.24240 | − | 0.759464i | ||||
\(298\) | −4.88790 | + | 18.2419i | −0.283149 | + | 1.05673i | ||||
\(299\) | 0.229448 | 0.0132693 | ||||||||
\(300\) | 6.42851 | − | 5.80295i | 0.371150 | − | 0.335034i | ||||
\(301\) | 1.15522 | + | 5.12528i | 0.0665858 | + | 0.295416i | ||||
\(302\) | 14.8841 | − | 3.98819i | 0.856485 | − | 0.229495i | ||||
\(303\) | −0.208113 | + | 24.8948i | −0.0119558 | + | 1.43017i | ||||
\(304\) | 1.09576 | + | 0.632638i | 0.0628463 | + | 0.0362843i | ||||
\(305\) | 25.8025 | − | 2.83751i | 1.47745 | − | 0.162475i | ||||
\(306\) | −0.354038 | + | 21.1738i | −0.0202390 | + | 1.21043i | ||||
\(307\) | −12.4832 | + | 12.4832i | −0.712453 | + | 0.712453i | −0.967048 | − | 0.254595i | \(-0.918058\pi\) |
0.254595 | + | 0.967048i | \(0.418058\pi\) | |||||||
\(308\) | 0.512342 | − | 12.7673i | 0.0291934 | − | 0.727485i | ||||
\(309\) | 30.9114 | − | 8.00633i | 1.75849 | − | 0.455464i | ||||
\(310\) | −9.84888 | − | 7.89732i | −0.559379 | − | 0.448538i | ||||
\(311\) | 7.99239i | 0.453207i | 0.973987 | + | 0.226604i | \(0.0727622\pi\) | ||||
−0.973987 | + | 0.226604i | \(0.927238\pi\) | |||||||
\(312\) | 0.318437 | + | 0.00266204i | 0.0180279 | + | 0.000150708i | ||||
\(313\) | −4.27800 | − | 4.27800i | −0.241807 | − | 0.241807i | 0.575791 | − | 0.817597i | \(-0.304694\pi\) |
−0.817597 | + | 0.575791i | \(0.804694\pi\) | |||||||
\(314\) | 9.34457 | 0.527345 | ||||||||
\(315\) | −0.934958 | − | 17.7236i | −0.0526789 | − | 0.998612i | ||||
\(316\) | −9.24893 | −0.520293 | ||||||||
\(317\) | 13.4554 | + | 13.4554i | 0.755730 | + | 0.755730i | 0.975542 | − | 0.219813i | \(-0.0705446\pi\) |
−0.219813 | + | 0.975542i | \(0.570545\pi\) | |||||||
\(318\) | −2.29539 | + | 3.90007i | −0.128719 | + | 0.218705i | ||||
\(319\) | − | 22.4669i | − | 1.25791i | ||||||
\(320\) | 0.244427 | + | 2.22267i | 0.0136639 | + | 0.124251i | ||||
\(321\) | 0.973614 | + | 0.990029i | 0.0543418 | + | 0.0552580i | ||||
\(322\) | 2.79097 | + | 1.76424i | 0.155535 | + | 0.0983174i | ||||
\(323\) | 6.31552 | − | 6.31552i | 0.351405 | − | 0.351405i | ||||
\(324\) | 7.94031 | − | 4.23691i | 0.441129 | − | 0.235384i | ||||
\(325\) | −0.815032 | + | 0.425205i | −0.0452098 | + | 0.0235861i | ||||
\(326\) | 3.36274 | + | 1.94148i | 0.186245 | + | 0.107529i | ||||
\(327\) | −10.0168 | − | 5.89536i | −0.553928 | − | 0.326014i | ||||
\(328\) | 5.03225 | − | 1.34839i | 0.277860 | − | 0.0744523i | ||||
\(329\) | 3.19098 | + | 0.993759i | 0.175925 | + | 0.0547877i | ||||
\(330\) | −11.8226 | + | 14.4942i | −0.650814 | + | 0.797882i | ||||
\(331\) | −5.93048 | −0.325969 | −0.162984 | − | 0.986629i | \(-0.552112\pi\) | ||||
−0.162984 | + | 0.986629i | \(0.552112\pi\) | |||||||
\(332\) | 2.51288 | − | 9.37820i | 0.137912 | − | 0.514696i | ||||
\(333\) | −29.0524 | − | 8.30756i | −1.59206 | − | 0.455252i | ||||
\(334\) | −15.7101 | − | 9.07024i | −0.859619 | − | 0.496301i | ||||
\(335\) | −17.5891 | + | 21.9357i | −0.960996 | + | 1.19847i | ||||
\(336\) | 3.85296 | + | 2.48087i | 0.210196 | + | 0.135343i | ||||
\(337\) | 5.77250 | + | 21.5433i | 0.314448 | + | 1.17354i | 0.924502 | + | 0.381177i | \(0.124481\pi\) |
−0.610054 | + | 0.792360i | \(0.708852\pi\) | |||||||
\(338\) | 12.5244 | + | 3.35590i | 0.681237 | + | 0.182537i | ||||
\(339\) | −6.90760 | + | 6.79307i | −0.375169 | + | 0.368949i | ||||
\(340\) | 15.6016 | + | 2.39418i | 0.846116 | + | 0.129843i | ||||
\(341\) | 23.6127 | + | 13.6328i | 1.27870 | + | 0.738259i | ||||
\(342\) | −3.64955 | − | 1.04359i | −0.197345 | − | 0.0564311i | ||||
\(343\) | 2.22304 | − | 18.3864i | 0.120033 | − | 0.992770i | ||||
\(344\) | 0.992886 | + | 1.71973i | 0.0535328 | + | 0.0927216i | ||||
\(345\) | −1.71610 | − | 4.51847i | −0.0923918 | − | 0.243266i | ||||
\(346\) | −19.6999 | −1.05907 | ||||||||
\(347\) | 18.7185 | + | 18.7185i | 1.00486 | + | 1.00486i | 0.999988 | + | 0.00487336i | \(0.00155125\pi\) |
0.00487336 | + | 0.999988i | \(0.498449\pi\) | |||||||
\(348\) | 6.94414 | + | 4.08698i | 0.372245 | + | 0.219085i | ||||
\(349\) | −3.94585 | + | 2.27814i | −0.211217 | + | 0.121946i | −0.601877 | − | 0.798589i | \(-0.705580\pi\) |
0.390660 | + | 0.920535i | \(0.372247\pi\) | |||||||
\(350\) | −13.1834 | − | 1.09471i | −0.704682 | − | 0.0585147i | ||||
\(351\) | −0.928702 | + | 0.224044i | −0.0495704 | + | 0.0119586i | ||||
\(352\) | −1.24996 | − | 4.66492i | −0.0666231 | − | 0.248641i | ||||
\(353\) | 0.395422 | + | 1.47573i | 0.0210462 | + | 0.0785454i | 0.975650 | − | 0.219332i | \(-0.0703879\pi\) |
−0.954604 | + | 0.297878i | \(0.903721\pi\) | |||||||
\(354\) | −0.624603 | + | 2.25546i | −0.0331973 | + | 0.119876i | ||||
\(355\) | −0.377337 | − | 3.43127i | −0.0200270 | − | 0.182113i | ||||
\(356\) | −7.19726 | − | 4.15534i | −0.381454 | − | 0.220232i | ||||
\(357\) | 23.9549 | − | 21.7385i | 1.26783 | − | 1.15052i | ||||
\(358\) | −3.41462 | + | 12.7435i | −0.180468 | + | 0.673517i | ||||
\(359\) | 0.774061 | − | 1.34071i | 0.0408534 | − | 0.0707601i | −0.844876 | − | 0.534963i | \(-0.820326\pi\) |
0.885729 | + | 0.464203i | \(0.153659\pi\) | |||||||
\(360\) | −2.32926 | − | 6.29083i | −0.122763 | − | 0.331556i | ||||
\(361\) | −8.69954 | − | 15.0680i | −0.457870 | − | 0.793055i | ||||
\(362\) | 11.7968 | + | 11.7968i | 0.620027 | + | 0.620027i | ||||
\(363\) | 10.8269 | − | 18.3959i | 0.568266 | − | 0.965535i | ||||
\(364\) | −0.329895 | − | 0.357479i | −0.0172912 | − | 0.0187370i | ||||
\(365\) | 4.28118 | − | 27.8982i | 0.224087 | − | 1.46026i | ||||
\(366\) | 5.36626 | − | 19.3777i | 0.280499 | − | 1.01289i | ||||
\(367\) | −1.12596 | − | 4.20215i | −0.0587748 | − | 0.219350i | 0.930292 | − | 0.366820i | \(-0.119554\pi\) |
−0.989067 | + | 0.147470i | \(0.952887\pi\) | |||||||
\(368\) | 1.20545 | + | 0.322999i | 0.0628384 | + | 0.0168375i | ||||
\(369\) | −13.6641 | + | 7.58728i | −0.711327 | + | 0.394978i | ||||
\(370\) | −9.06157 | + | 20.6190i | −0.471089 | + | 1.07193i | ||||
\(371\) | 6.74351 | − | 1.51996i | 0.350105 | − | 0.0789125i | ||||
\(372\) | −8.50908 | + | 4.81833i | −0.441175 | + | 0.249819i | ||||
\(373\) | −1.00941 | + | 3.76716i | −0.0522652 | + | 0.195056i | −0.987122 | − | 0.159968i | \(-0.948861\pi\) |
0.934857 | + | 0.355025i | \(0.115527\pi\) | |||||||
\(374\) | −34.0909 | −1.76280 | ||||||||
\(375\) | 14.4693 | + | 12.8701i | 0.747194 | + | 0.664607i | ||||
\(376\) | 1.26321 | 0.0651452 | ||||||||
\(377\) | −0.604793 | − | 0.604793i | −0.0311484 | − | 0.0311484i | ||||
\(378\) | −13.0193 | − | 4.41563i | −0.669641 | − | 0.227115i | ||||
\(379\) | 27.4556i | 1.41030i | 0.709058 | + | 0.705150i | \(0.249120\pi\) | ||||
−0.709058 | + | 0.705150i | \(0.750880\pi\) | |||||||
\(380\) | −1.13831 | + | 2.59015i | −0.0583942 | + | 0.132872i | ||||
\(381\) | 5.16291 | + | 1.42976i | 0.264504 | + | 0.0732488i | ||||
\(382\) | −9.76526 | + | 9.76526i | −0.499634 | + | 0.499634i | ||||
\(383\) | −21.9460 | − | 5.88041i | −1.12139 | − | 0.300475i | −0.349943 | − | 0.936771i | \(-0.613799\pi\) |
−0.771445 | + | 0.636296i | \(0.780466\pi\) | |||||||
\(384\) | 1.66923 | + | 0.462258i | 0.0851824 | + | 0.0235895i | ||||
\(385\) | 28.5027 | − | 1.98191i | 1.45263 | − | 0.101008i | ||||
\(386\) | 3.77840i | 0.192316i | ||||||||
\(387\) | −4.14145 | − | 4.28230i | −0.210522 | − | 0.217681i | ||||
\(388\) | 2.58182 | − | 9.63550i | 0.131072 | − | 0.489168i | ||||
\(389\) | −7.40808 | + | 12.8312i | −0.375605 | + | 0.650566i | −0.990417 | − | 0.138107i | \(-0.955898\pi\) |
0.614813 | + | 0.788673i | \(0.289232\pi\) | |||||||
\(390\) | 0.0719178 | + | 0.708431i | 0.00364170 | + | 0.0358728i | ||||
\(391\) | 4.40468 | − | 7.62913i | 0.222754 | − | 0.385822i | ||||
\(392\) | −1.26411 | − | 6.88491i | −0.0638474 | − | 0.347741i | ||||
\(393\) | 23.6448 | + | 13.9162i | 1.19272 | + | 0.701978i | ||||
\(394\) | − | 7.70140i | − | 0.387991i | ||||||
\(395\) | −2.26069 | − | 20.5573i | −0.113748 | − | 1.03435i | ||||
\(396\) | 7.03343 | + | 12.6667i | 0.353443 | + | 0.636526i | ||||
\(397\) | −3.99241 | − | 14.8999i | −0.200373 | − | 0.747804i | −0.990810 | − | 0.135260i | \(-0.956813\pi\) |
0.790437 | − | 0.612544i | \(-0.209854\pi\) | |||||||
\(398\) | −12.3337 | − | 3.30481i | −0.618234 | − | 0.165655i | ||||
\(399\) | 2.65243 | + | 5.15597i | 0.132788 | + | 0.258121i | ||||
\(400\) | −4.88051 | + | 1.08656i | −0.244026 | + | 0.0543280i | ||||
\(401\) | 3.42369 | − | 1.97667i | 0.170971 | − | 0.0987101i | −0.412073 | − | 0.911151i | \(-0.635195\pi\) |
0.583044 | + | 0.812441i | \(0.301862\pi\) | |||||||
\(402\) | 10.7315 | + | 18.9516i | 0.535239 | + | 0.945222i | ||||
\(403\) | 1.00262 | − | 0.268652i | 0.0499442 | − | 0.0133825i | ||||
\(404\) | 7.18677 | − | 12.4479i | 0.357555 | − | 0.619304i | ||||
\(405\) | 11.3581 | + | 16.6131i | 0.564387 | + | 0.825510i | ||||
\(406\) | −2.70632 | − | 12.0069i | −0.134312 | − | 0.595894i | ||||
\(407\) | 12.5900 | − | 46.9864i | 0.624061 | − | 2.32903i | ||||
\(408\) | 6.20151 | − | 10.5369i | 0.307021 | − | 0.521655i | ||||
\(409\) | 18.7041i | 0.924858i | 0.886656 | + | 0.462429i | \(0.153022\pi\) | ||||
−0.886656 | + | 0.462429i | \(0.846978\pi\) | |||||||
\(410\) | 4.22704 | + | 10.8555i | 0.208759 | + | 0.536113i | ||||
\(411\) | −8.78173 | − | 8.92980i | −0.433171 | − | 0.440474i | ||||
\(412\) | −17.8074 | − | 4.77148i | −0.877308 | − | 0.235074i | ||||
\(413\) | 3.16517 | − | 1.66189i | 0.155748 | − | 0.0817765i | ||||
\(414\) | −3.74340 | − | 0.0625917i | −0.183978 | − | 0.00307621i | ||||
\(415\) | 21.4588 | + | 3.29302i | 1.05337 | + | 0.161648i | ||||
\(416\) | −0.159224 | − | 0.0919281i | −0.00780660 | − | 0.00450714i | ||||
\(417\) | −0.220578 | + | 26.3859i | −0.0108018 | + | 1.29212i | ||||
\(418\) | 1.58155 | − | 5.90241i | 0.0773559 | − | 0.288696i | ||||
\(419\) | −11.9221 | + | 20.6497i | −0.582434 | + | 1.00881i | 0.412756 | + | 0.910842i | \(0.364566\pi\) |
−0.995190 | + | 0.0979641i | \(0.968767\pi\) | |||||||
\(420\) | −4.57238 | + | 9.17024i | −0.223110 | + | 0.447462i | ||||
\(421\) | −5.70308 | − | 9.87803i | −0.277951 | − | 0.481426i | 0.692924 | − | 0.721010i | \(-0.256322\pi\) |
−0.970875 | + | 0.239585i | \(0.922989\pi\) | |||||||
\(422\) | −7.79369 | + | 2.08831i | −0.379391 | + | 0.101658i | ||||
\(423\) | −3.67639 | + | 0.919496i | −0.178752 | + | 0.0447074i | ||||
\(424\) | 2.26271 | − | 1.30637i | 0.109887 | − | 0.0634431i | ||||
\(425\) | −1.50801 | + | 35.2624i | −0.0731494 | + | 1.71048i | ||||
\(426\) | −2.57689 | − | 0.713615i | −0.124850 | − | 0.0345747i | ||||
\(427\) | −27.1935 | + | 14.2781i | −1.31599 | + | 0.690967i | ||||
\(428\) | −0.207491 | − | 0.774365i | −0.0100294 | − | 0.0374304i | ||||
\(429\) | −0.385615 | − | 1.48881i | −0.0186177 | − | 0.0718804i | ||||
\(430\) | −3.57970 | + | 2.62721i | −0.172628 | + | 0.126695i | ||||
\(431\) | −7.78274 | + | 4.49337i | −0.374881 | + | 0.216438i | −0.675589 | − | 0.737279i | \(-0.736111\pi\) |
0.300708 | + | 0.953716i | \(0.402777\pi\) | |||||||
\(432\) | −5.19452 | − | 0.130298i | −0.249921 | − | 0.00626897i | ||||
\(433\) | −15.0264 | − | 15.0264i | −0.722122 | − | 0.722122i | 0.246915 | − | 0.969037i | \(-0.420583\pi\) |
−0.969037 | + | 0.246915i | \(0.920583\pi\) | |||||||
\(434\) | 14.2615 | + | 4.44140i | 0.684572 | + | 0.213194i | ||||
\(435\) | −7.38666 | + | 16.4335i | −0.354163 | + | 0.787926i | ||||
\(436\) | 3.35523 | + | 5.81142i | 0.160686 | + | 0.278317i | ||||
\(437\) | 1.11654 | + | 1.11654i | 0.0534115 | + | 0.0534115i | ||||
\(438\) | −18.8417 | − | 11.0893i | −0.900291 | − | 0.529867i | ||||
\(439\) | − | 18.5053i | − | 0.883212i | −0.897209 | − | 0.441606i | \(-0.854409\pi\) | ||
0.897209 | − | 0.441606i | \(-0.145591\pi\) | |||||||
\(440\) | 10.0630 | − | 3.91848i | 0.479737 | − | 0.186806i | ||||
\(441\) | 8.69057 | + | 19.1174i | 0.413837 | + | 0.910351i | ||||
\(442\) | −0.917703 | + | 0.917703i | −0.0436507 | + | 0.0436507i | ||||
\(443\) | 0.725427 | − | 0.725427i | 0.0344661 | − | 0.0344661i | −0.689664 | − | 0.724130i | \(-0.742242\pi\) |
0.724130 | + | 0.689664i | \(0.242242\pi\) | |||||||
\(444\) | 12.2324 | + | 12.4387i | 0.580525 | + | 0.590313i | ||||
\(445\) | 7.47673 | − | 17.0128i | 0.354431 | − | 0.806484i | ||||
\(446\) | −12.8530 | + | 7.42066i | −0.608605 | + | 0.351378i | ||||
\(447\) | −16.5915 | + | 28.1904i | −0.784750 | + | 1.33336i | ||||
\(448\) | −1.22994 | − | 2.34249i | −0.0581091 | − | 0.110672i | ||||
\(449\) | 17.0741 | 0.805778 | 0.402889 | − | 0.915249i | \(-0.368006\pi\) | ||||
0.402889 | + | 0.915249i | \(0.368006\pi\) | |||||||
\(450\) | 13.4131 | − | 6.71481i | 0.632300 | − | 0.316539i | ||||
\(451\) | −12.5802 | − | 21.7896i | −0.592380 | − | 1.02603i | ||||
\(452\) | 5.40288 | − | 1.44770i | 0.254130 | − | 0.0680939i | ||||
\(453\) | 26.6886 | + | 0.223108i | 1.25394 | + | 0.0104825i | ||||
\(454\) | −2.70607 | − | 1.56235i | −0.127002 | − | 0.0733247i | ||||
\(455\) | 0.713921 | − | 0.820624i | 0.0334691 | − | 0.0384715i | ||||
\(456\) | 1.53663 | + | 1.56254i | 0.0719594 | + | 0.0731727i | ||||
\(457\) | −22.0678 | + | 22.0678i | −1.03229 | + | 1.03229i | −0.0328258 | + | 0.999461i | \(0.510451\pi\) |
−0.999461 | + | 0.0328258i | \(0.989549\pi\) | |||||||
\(458\) | −13.9391 | − | 3.73498i | −0.651332 | − | 0.174524i | ||||
\(459\) | −10.3787 | + | 35.1803i | −0.484438 | + | 1.64207i | ||||
\(460\) | −0.423276 | + | 2.75827i | −0.0197353 | + | 0.128605i | ||||
\(461\) | 17.3949 | − | 10.0430i | 0.810162 | − | 0.467748i | −0.0368498 | − | 0.999321i | \(-0.511732\pi\) |
0.847012 | + | 0.531573i | \(0.178399\pi\) | |||||||
\(462\) | 6.75701 | − | 21.0747i | 0.314364 | − | 0.980484i | ||||
\(463\) | 22.3258 | − | 5.98219i | 1.03757 | − | 0.278016i | 0.300464 | − | 0.953793i | \(-0.402859\pi\) |
0.737106 | + | 0.675777i | \(0.236192\pi\) | |||||||
\(464\) | −2.32602 | − | 4.02879i | −0.107983 | − | 0.187032i | ||||
\(465\) | −12.7894 | − | 17.7351i | −0.593095 | − | 0.822448i | ||||
\(466\) | 7.52217 | − | 13.0288i | 0.348458 | − | 0.603546i | ||||
\(467\) | −14.0144 | + | 3.75516i | −0.648511 | + | 0.173768i | −0.568056 | − | 0.822990i | \(-0.692304\pi\) |
−0.0804556 | + | 0.996758i | \(0.525638\pi\) | |||||||
\(468\) | 0.530313 | + | 0.151643i | 0.0245137 | + | 0.00700972i | ||||
\(469\) | 9.89200 | − | 31.7635i | 0.456770 | − | 1.46670i | ||||
\(470\) | 0.308763 | + | 2.80770i | 0.0142422 | + | 0.129510i | ||||
\(471\) | 15.5982 | + | 4.31960i | 0.718728 | + | 0.199037i | ||||
\(472\) | 0.955444 | − | 0.955444i | 0.0439779 | − | 0.0439779i | ||||
\(473\) | 6.78133 | − | 6.78133i | 0.311806 | − | 0.311806i | ||||
\(474\) | −15.4386 | − | 4.27539i | −0.709117 | − | 0.196375i | ||||
\(475\) | −6.03528 | − | 1.89699i | −0.276918 | − | 0.0870397i | ||||
\(476\) | −18.2191 | + | 4.10652i | −0.835072 | + | 0.188222i | ||||
\(477\) | −5.63436 | + | 5.44904i | −0.257980 | + | 0.249494i | ||||
\(478\) | 23.2677 | − | 6.23456i | 1.06424 | − | 0.285162i | ||||
\(479\) | −0.447489 | + | 0.775073i | −0.0204463 | + | 0.0354140i | −0.876068 | − | 0.482188i | \(-0.839842\pi\) |
0.855621 | + | 0.517602i | \(0.173175\pi\) | |||||||
\(480\) | −0.619441 | + | 3.82313i | −0.0282735 | + | 0.174501i | ||||
\(481\) | −0.925925 | − | 1.60375i | −0.0422186 | − | 0.0731247i | ||||
\(482\) | 9.17915 | − | 2.45955i | 0.418099 | − | 0.112029i | ||||
\(483\) | 3.84323 | + | 4.23507i | 0.174873 | + | 0.192702i | ||||
\(484\) | −10.6728 | + | 6.16192i | −0.485126 | + | 0.280087i | ||||
\(485\) | 22.0476 | + | 3.38336i | 1.00113 | + | 0.153631i | ||||
\(486\) | 15.2127 | − | 3.40189i | 0.690063 | − | 0.154313i | ||||
\(487\) | 6.99411 | + | 1.87407i | 0.316933 | + | 0.0849220i | 0.413779 | − | 0.910377i | \(-0.364209\pi\) |
−0.0968457 | + | 0.995299i | \(0.530875\pi\) | |||||||
\(488\) | −8.20867 | + | 8.20867i | −0.371589 | + | 0.371589i | ||||
\(489\) | 4.71571 | + | 4.79522i | 0.213252 | + | 0.216847i | ||||
\(490\) | 14.9939 | − | 4.49257i | 0.677355 | − | 0.202953i | ||||
\(491\) | −20.8825 | − | 12.0565i | −0.942416 | − | 0.544104i | −0.0516990 | − | 0.998663i | \(-0.516464\pi\) |
−0.890717 | + | 0.454559i | \(0.849797\pi\) | |||||||
\(492\) | 9.02328 | + | 0.0754318i | 0.406801 | + | 0.00340073i | ||||
\(493\) | −31.7195 | + | 8.49922i | −1.42857 | + | 0.382785i | ||||
\(494\) | −0.116314 | − | 0.201462i | −0.00523323 | − | 0.00906423i | ||||
\(495\) | −26.4347 | + | 18.7291i | −1.18815 | + | 0.841809i | ||||
\(496\) | 5.64567 | 0.253498 | ||||||||
\(497\) | 1.89873 | + | 3.61624i | 0.0851696 | + | 0.162211i | ||||
\(498\) | 8.52971 | − | 14.4927i | 0.382226 | − | 0.649435i | ||||
\(499\) | −0.649129 | + | 0.374775i | −0.0290590 | + | 0.0167772i | −0.514459 | − | 0.857515i | \(-0.672007\pi\) |
0.485400 | + | 0.874292i | \(0.338674\pi\) | |||||||
\(500\) | −3.60799 | − | 10.5822i | −0.161354 | − | 0.473249i | ||||
\(501\) | −22.0309 | − | 22.4024i | −0.984270 | − | 1.00087i | ||||
\(502\) | 19.1717 | − | 19.1717i | 0.855674 | − | 0.855674i | ||||
\(503\) | 19.9246 | − | 19.9246i | 0.888395 | − | 0.888395i | −0.105974 | − | 0.994369i | \(-0.533796\pi\) |
0.994369 | + | 0.105974i | \(0.0337960\pi\) | |||||||
\(504\) | 5.28466 | + | 5.92219i | 0.235397 | + | 0.263795i | ||||
\(505\) | 29.4241 | + | 12.9312i | 1.30935 | + | 0.575432i | ||||
\(506\) | − | 6.02706i | − | 0.267935i | ||||||
\(507\) | 19.3547 | + | 11.3912i | 0.859575 | + | 0.505903i | ||||
\(508\) | −2.18708 | − | 2.18708i | −0.0970359 | − | 0.0970359i | ||||
\(509\) | 21.7037 | + | 37.5919i | 0.962000 | + | 1.66623i | 0.717467 | + | 0.696593i | \(0.245302\pi\) |
0.244534 | + | 0.969641i | \(0.421365\pi\) | |||||||
\(510\) | 24.9359 | + | 11.2084i | 1.10418 | + | 0.496316i | ||||
\(511\) | 7.34312 | + | 32.5787i | 0.324840 | + | 1.44120i | ||||
\(512\) | −0.707107 | − | 0.707107i | −0.0312500 | − | 0.0312500i | ||||
\(513\) | −5.60952 | − | 3.42903i | −0.247667 | − | 0.151395i | ||||
\(514\) | 11.9107 | − | 6.87665i | 0.525358 | − | 0.303316i | ||||
\(515\) | 6.25281 | − | 40.7463i | 0.275532 | − | 1.79549i | ||||
\(516\) | 0.862394 | + | 3.32959i | 0.0379648 | + | 0.146577i | ||||
\(517\) | −1.57897 | − | 5.89278i | −0.0694428 | − | 0.259164i | ||||
\(518\) | 1.06853 | − | 26.6273i | 0.0469487 | − | 1.16994i | ||||
\(519\) | −32.8836 | − | 9.10642i | −1.44343 | − | 0.399728i | ||||
\(520\) | 0.165407 | − | 0.376372i | 0.00725357 | − | 0.0165050i | ||||
\(521\) | 22.3396 | − | 12.8978i | 0.978715 | − | 0.565062i | 0.0768334 | − | 0.997044i | \(-0.475519\pi\) |
0.901882 | + | 0.431982i | \(0.142186\pi\) | |||||||
\(522\) | 9.70211 | + | 10.0321i | 0.424650 | + | 0.439092i | ||||
\(523\) | 38.6748 | − | 10.3629i | 1.69113 | − | 0.453137i | 0.720450 | − | 0.693507i | \(-0.243935\pi\) |
0.970681 | + | 0.240370i | \(0.0772687\pi\) | |||||||
\(524\) | −7.92011 | − | 13.7180i | −0.345991 | − | 0.599275i | ||||
\(525\) | −21.5000 | − | 7.92144i | −0.938338 | − | 0.345720i | ||||
\(526\) | −0.0795434 | + | 0.137773i | −0.00346826 | + | 0.00600719i | ||||
\(527\) | 10.3146 | − | 38.4945i | 0.449309 | − | 1.67685i | ||||
\(528\) | 0.0699256 | − | 8.36461i | 0.00304312 | − | 0.364023i | ||||
\(529\) | −18.5698 | − | 10.7213i | −0.807383 | − | 0.466143i | ||||
\(530\) | 3.45670 | + | 4.70993i | 0.150150 | + | 0.204586i | ||||
\(531\) | −2.08521 | + | 3.47615i | −0.0904903 | + | 0.150852i | ||||
\(532\) | 0.134229 | − | 3.34492i | 0.00581956 | − | 0.145020i | ||||
\(533\) | −0.925211 | − | 0.247909i | −0.0400753 | − | 0.0107382i | ||||
\(534\) | −10.0930 | − | 10.2632i | −0.436767 | − | 0.444132i | ||||
\(535\) | 1.67044 | − | 0.650459i | 0.0722195 | − | 0.0281218i | ||||
\(536\) | − | 12.5742i | − | 0.543122i | ||||||
\(537\) | −11.5906 | + | 19.6934i | −0.500171 | + | 0.849835i | ||||
\(538\) | 3.17298 | − | 11.8417i | 0.136797 | − | 0.510533i | ||||
\(539\) | −30.5374 | + | 14.5029i | −1.31534 | + | 0.624682i | ||||
\(540\) | −0.980072 | − | 11.5775i | −0.0421756 | − | 0.498218i | ||||
\(541\) | 17.9564 | − | 31.1013i | 0.772004 | − | 1.33715i | −0.164459 | − | 0.986384i | \(-0.552588\pi\) |
0.936463 | − | 0.350766i | \(-0.114079\pi\) | |||||||
\(542\) | −26.6582 | + | 7.14305i | −1.14507 | + | 0.306820i | ||||
\(543\) | 14.2384 | + | 25.1447i | 0.611028 | + | 1.07906i | ||||
\(544\) | −6.11321 | + | 3.52947i | −0.262102 | + | 0.151325i | ||||
\(545\) | −12.0968 | + | 8.87803i | −0.518168 | + | 0.380293i | ||||
\(546\) | −0.385422 | − | 0.749209i | −0.0164945 | − | 0.0320632i | ||||
\(547\) | −37.7501 | − | 10.1151i | −1.61408 | − | 0.432491i | −0.664823 | − | 0.747001i | \(-0.731493\pi\) |
−0.949254 | + | 0.314511i | \(0.898160\pi\) | |||||||
\(548\) | 1.87151 | + | 6.98457i | 0.0799469 | + | 0.298366i | ||||
\(549\) | 17.9150 | − | 29.8652i | 0.764594 | − | 1.27462i | ||||
\(550\) | 11.1692 | + | 21.4090i | 0.476255 | + | 0.912884i | ||||
\(551\) | − | 5.88612i | − | 0.250757i | ||||||
\(552\) | 1.86286 | + | 1.09639i | 0.0792886 | + | 0.0466653i | ||||
\(553\) | 11.3756 | + | 21.6655i | 0.483740 | + | 0.921311i | ||||
\(554\) | −2.06605 | + | 3.57850i | −0.0877779 | + | 0.152036i | ||||
\(555\) | −24.6571 | + | 30.2290i | −1.04664 | + | 1.28315i | ||||
\(556\) | 7.61723 | − | 13.1934i | 0.323042 | − | 0.559526i | ||||
\(557\) | 11.6604 | − | 43.5173i | 0.494068 | − | 1.84389i | −0.0411206 | − | 0.999154i | \(-0.513093\pi\) |
0.535189 | − | 0.844733i | \(-0.320241\pi\) | |||||||
\(558\) | −16.4309 | + | 4.10950i | −0.695576 | + | 0.173969i | ||||
\(559\) | − | 0.365096i | − | 0.0154419i | ||||||
\(560\) | 4.90595 | − | 3.30631i | 0.207314 | − | 0.139717i | ||||
\(561\) | −56.9055 | − | 15.7588i | −2.40255 | − | 0.665337i | ||||
\(562\) | −20.0541 | − | 5.37348i | −0.845931 | − | 0.226666i | ||||
\(563\) | −10.1373 | + | 10.1373i | −0.427236 | + | 0.427236i | −0.887686 | − | 0.460450i | \(-0.847688\pi\) |
0.460450 | + | 0.887686i | \(0.347688\pi\) | |||||||
\(564\) | 2.10859 | + | 0.583929i | 0.0887875 | + | 0.0245879i | ||||
\(565\) | 4.53836 | + | 11.6549i | 0.190930 | + | 0.490327i | ||||
\(566\) | − | 8.80445i | − | 0.370078i | ||||||
\(567\) | −19.6910 | − | 13.3890i | −0.826945 | − | 0.562283i | ||||
\(568\) | 1.09160 | + | 1.09160i | 0.0458026 | + | 0.0458026i | ||||
\(569\) | −39.8931 | −1.67240 | −0.836202 | − | 0.548421i | \(-0.815229\pi\) | ||||
−0.836202 | + | 0.548421i | \(0.815229\pi\) | |||||||
\(570\) | −3.09742 | + | 3.79735i | −0.129736 | + | 0.159054i | ||||
\(571\) | −24.8538 | −1.04010 | −0.520050 | − | 0.854136i | \(-0.674087\pi\) | ||||
−0.520050 | + | 0.854136i | \(0.674087\pi\) | |||||||
\(572\) | −0.229813 | + | 0.857673i | −0.00960896 | + | 0.0358611i | ||||
\(573\) | −20.8145 | + | 11.7864i | −0.869538 | + | 0.492383i | ||||
\(574\) | −9.34795 | − | 10.1296i | −0.390176 | − | 0.422800i | ||||
\(575\) | −6.23417 | − | 0.266607i | −0.259983 | − | 0.0111183i | ||||
\(576\) | 2.57264 | + | 1.54323i | 0.107193 | + | 0.0643011i | ||||
\(577\) | 16.8814 | + | 4.52337i | 0.702783 | + | 0.188310i | 0.592477 | − | 0.805587i | \(-0.298150\pi\) |
0.110306 | + | 0.993898i | \(0.464817\pi\) | |||||||
\(578\) | 8.49664 | + | 31.7099i | 0.353414 | + | 1.31896i | ||||
\(579\) | −1.74660 | + | 6.30701i | −0.0725860 | + | 0.262110i | ||||
\(580\) | 8.38612 | − | 6.15472i | 0.348215 | − | 0.255561i | ||||
\(581\) | −25.0590 | + | 5.64821i | −1.03962 | + | 0.234327i | ||||
\(582\) | 8.76373 | − | 14.8904i | 0.363268 | − | 0.617225i | ||||
\(583\) | −8.92242 | − | 8.92242i | −0.369529 | − | 0.369529i | ||||
\(584\) | 6.31125 | + | 10.9314i | 0.261161 | + | 0.452345i | ||||
\(585\) | −0.207430 | + | 1.21578i | −0.00857619 | + | 0.0502661i | ||||
\(586\) | −9.64066 | + | 16.6981i | −0.398252 | + | 0.689793i | ||||
\(587\) | −0.503646 | + | 1.87963i | −0.0207877 | + | 0.0775807i | −0.975540 | − | 0.219820i | \(-0.929453\pi\) |
0.954753 | + | 0.297401i | \(0.0961197\pi\) | |||||||
\(588\) | 1.07251 | − | 12.0768i | 0.0442295 | − | 0.498040i | ||||
\(589\) | 6.18631 | + | 3.57167i | 0.254903 | + | 0.147168i | ||||
\(590\) | 2.35717 | + | 1.89010i | 0.0970432 | + | 0.0778141i | ||||
\(591\) | 3.56003 | − | 12.8554i | 0.146440 | − | 0.528800i | ||||
\(592\) | −2.60690 | − | 9.72908i | −0.107143 | − | 0.399863i | ||||
\(593\) | −7.39416 | − | 27.5954i | −0.303642 | − | 1.13321i | −0.934108 | − | 0.356990i | \(-0.883803\pi\) |
0.630467 | − | 0.776216i | \(-0.282864\pi\) | |||||||
\(594\) | 5.88511 | + | 24.3949i | 0.241469 | + | 1.00093i | ||||
\(595\) | −13.5807 | − | 39.4913i | −0.556754 | − | 1.61899i | ||||
\(596\) | 16.3552 | − | 9.44270i | 0.669937 | − | 0.386788i | ||||
\(597\) | −19.0601 | − | 11.2178i | −0.780079 | − | 0.459116i | ||||
\(598\) | −0.162244 | − | 0.162244i | −0.00663465 | − | 0.00663465i | ||||
\(599\) | −23.7866 | −0.971893 | −0.485947 | − | 0.873988i | \(-0.661525\pi\) | ||||
−0.485947 | + | 0.873988i | \(0.661525\pi\) | |||||||
\(600\) | −8.64895 | − | 0.442337i | −0.353092 | − | 0.0180583i | ||||
\(601\) | 8.26152 | + | 14.3094i | 0.336994 | + | 0.583692i | 0.983866 | − | 0.178908i | \(-0.0572563\pi\) |
−0.646871 | + | 0.762599i | \(0.723923\pi\) | |||||||
\(602\) | 2.80726 | − | 4.44099i | 0.114415 | − | 0.181001i | ||||
\(603\) | 9.15278 | + | 36.5953i | 0.372730 | + | 1.49028i | ||||
\(604\) | −13.3447 | − | 7.70459i | −0.542990 | − | 0.313495i | ||||
\(605\) | −16.3046 | − | 22.2159i | −0.662877 | − | 0.903204i | ||||
\(606\) | 17.7505 | − | 17.4561i | 0.721063 | − | 0.709108i | ||||
\(607\) | 34.7241 | + | 9.30431i | 1.40941 | + | 0.377650i | 0.881714 | − | 0.471784i | \(-0.156390\pi\) |
0.527695 | + | 0.849434i | \(0.323056\pi\) | |||||||
\(608\) | −0.327478 | − | 1.22216i | −0.0132810 | − | 0.0495653i | ||||
\(609\) | 1.03284 | − | 21.2933i | 0.0418526 | − | 0.862848i | ||||
\(610\) | −20.2516 | − | 16.2387i | −0.819962 | − | 0.657487i | ||||
\(611\) | −0.201134 | − | 0.116125i | −0.00813700 | − | 0.00469790i | ||||
\(612\) | 15.2225 | − | 14.7218i | 0.615333 | − | 0.595094i | ||||
\(613\) | −9.22756 | + | 34.4377i | −0.372697 | + | 1.39093i | 0.483982 | + | 0.875078i | \(0.339190\pi\) |
−0.856680 | + | 0.515848i | \(0.827477\pi\) | |||||||
\(614\) | 17.6539 | 0.712453 | ||||||||
\(615\) | 2.03787 | + | 20.0742i | 0.0821750 | + | 0.809470i | ||||
\(616\) | −9.39014 | + | 8.66558i | −0.378339 | + | 0.349146i | ||||
\(617\) | 36.8494 | − | 9.87378i | 1.48350 | − | 0.397503i | 0.575965 | − | 0.817474i | \(-0.304626\pi\) |
0.907538 | + | 0.419971i | \(0.137960\pi\) | |||||||
\(618\) | −27.5190 | − | 16.1963i | −1.10697 | − | 0.651511i | ||||
\(619\) | 21.6005 | + | 12.4711i | 0.868198 | + | 0.501255i | 0.866749 | − | 0.498744i | \(-0.166205\pi\) |
0.00144919 | + | 0.999999i | \(0.499539\pi\) | |||||||
\(620\) | 1.37996 | + | 12.5485i | 0.0554203 | + | 0.503958i | ||||
\(621\) | −6.21964 | − | 1.83489i | −0.249586 | − | 0.0736317i | ||||
\(622\) | 5.65148 | − | 5.65148i | 0.226604 | − | 0.226604i | ||||
\(623\) | −0.881650 | + | 21.9703i | −0.0353226 | + | 0.880221i | ||||
\(624\) | −0.223287 | − | 0.227051i | −0.00893862 | − | 0.00908933i | ||||
\(625\) | 22.6388 | − | 10.6059i | 0.905551 | − | 0.424238i | ||||
\(626\) | 6.05000i | 0.241807i | ||||||||
\(627\) | 5.36839 | − | 9.12138i | 0.214393 | − | 0.364273i | ||||
\(628\) | −6.60761 | − | 6.60761i | −0.263672 | − | 0.263672i | ||||
\(629\) | −71.0996 | −2.83492 | ||||||||
\(630\) | −11.8714 | + | 13.1936i | −0.472966 | + | 0.525645i | ||||
\(631\) | −42.7354 | −1.70127 | −0.850635 | − | 0.525757i | \(-0.823782\pi\) | ||||
−0.850635 | + | 0.525757i | \(0.823782\pi\) | |||||||
\(632\) | 6.53998 | + | 6.53998i | 0.260146 | + | 0.260146i | ||||
\(633\) | −13.9748 | − | 0.116825i | −0.555448 | − | 0.00464337i | ||||
\(634\) | − | 19.0288i | − | 0.755730i | ||||||
\(635\) | 4.32657 | − | 5.39573i | 0.171695 | − | 0.214123i | ||||
\(636\) | 4.38085 | − | 1.13468i | 0.173712 | − | 0.0449930i | ||||
\(637\) | −0.431639 | + | 1.21245i | −0.0171022 | + | 0.0480391i | ||||
\(638\) | −15.8865 | + | 15.8865i | −0.628953 | + | 0.628953i | ||||
\(639\) | −3.97153 | − | 2.38237i | −0.157111 | − | 0.0942451i | ||||
\(640\) | 1.39883 | − | 1.74450i | 0.0552935 | − | 0.0689574i | ||||
\(641\) | 32.4056 | + | 18.7094i | 1.27994 | + | 0.738975i | 0.976838 | − | 0.213982i | \(-0.0686434\pi\) |
0.303105 | + | 0.952957i | \(0.401977\pi\) | |||||||
\(642\) | 0.0116075 | − | 1.38851i | 0.000458111 | − | 0.0547999i | ||||
\(643\) | −19.9201 | + | 5.33756i | −0.785571 | + | 0.210493i | −0.629239 | − | 0.777212i | \(-0.716633\pi\) |
−0.156331 | + | 0.987705i | \(0.549967\pi\) | |||||||
\(644\) | −0.726007 | − | 3.22102i | −0.0286087 | − | 0.126926i | ||||
\(645\) | −7.18978 | + | 2.73066i | −0.283097 | + | 0.107520i | ||||
\(646\) | −8.93150 | −0.351405 | ||||||||
\(647\) | −7.39788 | + | 27.6093i | −0.290841 | + | 1.08543i | 0.653624 | + | 0.756819i | \(0.273248\pi\) |
−0.944465 | + | 0.328613i | \(0.893419\pi\) | |||||||
\(648\) | −8.61060 | − | 2.61870i | −0.338256 | − | 0.102872i | ||||
\(649\) | −5.65133 | − | 3.26280i | −0.221834 | − | 0.128076i | ||||
\(650\) | 0.876980 | + | 0.275649i | 0.0343980 | + | 0.0108119i | ||||
\(651\) | 21.7525 | + | 14.0062i | 0.852549 | + | 0.548945i | ||||
\(652\) | −1.00498 | − | 3.75065i | −0.0393582 | − | 0.146887i | ||||
\(653\) | 17.1972 | + | 4.60797i | 0.672978 | + | 0.180324i | 0.579096 | − | 0.815259i | \(-0.303406\pi\) |
0.0938822 | + | 0.995583i | \(0.470072\pi\) | |||||||
\(654\) | 2.91426 | + | 11.2516i | 0.113957 | + | 0.439971i | ||||
\(655\) | 28.5547 | − | 20.9568i | 1.11573 | − | 0.818851i | ||||
\(656\) | −4.51180 | − | 2.60489i | −0.176156 | − | 0.101704i | ||||
\(657\) | −26.3250 | − | 27.2203i | −1.02703 | − | 1.06196i | ||||
\(658\) | −1.55367 | − | 2.95906i | −0.0605685 | − | 0.115356i | ||||
\(659\) | −20.8707 | − | 36.1491i | −0.813008 | − | 1.40817i | −0.910750 | − | 0.412959i | \(-0.864495\pi\) |
0.0977417 | − | 0.995212i | \(-0.468838\pi\) | |||||||
\(660\) | 18.6088 | − | 1.88912i | 0.724348 | − | 0.0735337i | ||||
\(661\) | 16.1816 | 0.629390 | 0.314695 | − | 0.949193i | \(-0.398098\pi\) | ||||
0.314695 | + | 0.949193i | \(0.398098\pi\) | |||||||
\(662\) | 4.19348 | + | 4.19348i | 0.162984 | + | 0.162984i | ||||
\(663\) | −1.95607 | + | 1.10764i | −0.0759674 | + | 0.0430171i | ||||
\(664\) | −8.40826 | + | 4.85451i | −0.326304 | + | 0.188392i | ||||
\(665\) | 7.46745 | − | 0.519242i | 0.289575 | − | 0.0201353i | ||||
\(666\) | 14.6688 | + | 26.4175i | 0.568405 | + | 1.02366i | ||||
\(667\) | −1.50261 | − | 5.60780i | −0.0581812 | − | 0.217135i | ||||
\(668\) | 4.69510 | + | 17.5223i | 0.181659 | + | 0.677960i | ||||
\(669\) | −24.8847 | + | 6.44538i | −0.962100 | + | 0.249193i | ||||
\(670\) | 27.9482 | − | 3.07347i | 1.07973 | − | 0.118739i | ||||
\(671\) | 48.5533 | + | 28.0322i | 1.87438 | + | 1.08217i | ||||
\(672\) | −0.970213 | − | 4.47869i | −0.0374268 | − | 0.172769i | ||||
\(673\) | 2.64718 | − | 9.87942i | 0.102041 | − | 0.380824i | −0.895951 | − | 0.444152i | \(-0.853505\pi\) |
0.997993 | + | 0.0633286i | \(0.0201716\pi\) | |||||||
\(674\) | 11.1516 | − | 19.3152i | 0.429544 | − | 0.743992i | ||||
\(675\) | 25.4935 | − | 5.00824i | 0.981245 | − | 0.192767i | ||||
\(676\) | −6.48310 | − | 11.2291i | −0.249350 | − | 0.431887i | ||||
\(677\) | −4.92442 | − | 4.92442i | −0.189261 | − | 0.189261i | 0.606116 | − | 0.795377i | \(-0.292727\pi\) |
−0.795377 | + | 0.606116i | \(0.792727\pi\) | |||||||
\(678\) | 9.68784 | + | 0.0809874i | 0.372059 | + | 0.00311030i | ||||
\(679\) | −25.7465 | + | 5.80317i | −0.988061 | + | 0.222705i | ||||
\(680\) | −9.33907 | − | 12.7249i | −0.358137 | − | 0.487980i | ||||
\(681\) | −3.79484 | − | 3.85882i | −0.145418 | − | 0.147870i | ||||
\(682\) | −7.05687 | − | 26.3366i | −0.270221 | − | 1.00848i | ||||
\(683\) | 7.78578 | + | 2.08619i | 0.297915 | + | 0.0798260i | 0.404680 | − | 0.914458i | \(-0.367383\pi\) |
−0.106766 | + | 0.994284i | \(0.534049\pi\) | |||||||
\(684\) | 1.84269 | + | 3.31856i | 0.0704571 | + | 0.126888i | ||||
\(685\) | −15.0669 | + | 5.86696i | −0.575678 | + | 0.224165i | ||||
\(686\) | −14.5730 | + | 11.4292i | −0.556401 | + | 0.436369i | ||||
\(687\) | −21.5410 | − | 12.6780i | −0.821842 | − | 0.483695i | ||||
\(688\) | 0.513956 | − | 1.91811i | 0.0195944 | − | 0.0731272i | ||||
\(689\) | −0.480370 | −0.0183006 | ||||||||
\(690\) | −1.98157 | + | 4.40851i | −0.0754372 | + | 0.167829i | ||||
\(691\) | 7.93478 | 0.301853 | 0.150927 | − | 0.988545i | \(-0.451774\pi\) | ||||
0.150927 | + | 0.988545i | \(0.451774\pi\) | |||||||
\(692\) | 13.9299 | + | 13.9299i | 0.529536 | + | 0.529536i | ||||
\(693\) | 21.0209 | − | 32.0550i | 0.798519 | − | 1.21767i | ||||
\(694\) | − | 26.4720i | − | 1.00486i | ||||||
\(695\) | 31.1865 | + | 13.7057i | 1.18297 | + | 0.519889i | ||||
\(696\) | −2.02032 | − | 7.80018i | −0.0765800 | − | 0.295665i | ||||
\(697\) | −26.0042 | + | 26.0042i | −0.984978 | + | 0.984978i | ||||
\(698\) | 4.40102 | + | 1.17925i | 0.166581 | + | 0.0446353i | ||||
\(699\) | 18.5789 | − | 18.2708i | 0.702717 | − | 0.691065i | ||||
\(700\) | 8.54798 | + | 10.0961i | 0.323083 | + | 0.381598i | ||||
\(701\) | 31.3968i | 1.18584i | 0.805261 | + | 0.592920i | \(0.202025\pi\) | ||||
−0.805261 | + | 0.592920i | \(0.797975\pi\) | |||||||
\(702\) | 0.815114 | + | 0.498269i | 0.0307645 | + | 0.0188059i | ||||
\(703\) | 3.29845 | − | 12.3100i | 0.124403 | − | 0.464280i | ||||
\(704\) | −2.41474 | + | 4.18245i | −0.0910089 | + | 0.157632i | ||||
\(705\) | −0.782486 | + | 4.82942i | −0.0294701 | + | 0.181886i | ||||
\(706\) | 0.763896 | − | 1.32311i | 0.0287496 | − | 0.0497958i | ||||
\(707\) | −37.9982 | − | 1.52484i | −1.42907 | − | 0.0573475i | ||||
\(708\) | 2.03651 | − | 1.15319i | 0.0765369 | − | 0.0433396i | ||||
\(709\) | 21.1676i | 0.794966i | 0.917610 | + | 0.397483i | \(0.130116\pi\) | ||||
−0.917610 | + | 0.397483i | \(0.869884\pi\) | |||||||
\(710\) | −2.15945 | + | 2.69309i | −0.0810429 | + | 0.101070i | ||||
\(711\) | −23.7941 | − | 14.2732i | −0.892350 | − | 0.535286i | ||||
\(712\) | 2.15096 | + | 8.02750i | 0.0806107 | + | 0.300843i | ||||
\(713\) | 6.80557 | + | 1.82355i | 0.254871 | + | 0.0682924i | ||||
\(714\) | −32.3101 | − | 1.56721i | −1.20918 | − | 0.0586512i | ||||
\(715\) | −1.96250 | − | 0.301159i | −0.0733932 | − | 0.0112627i | ||||
\(716\) | 11.4256 | − | 6.59655i | 0.426993 | − | 0.246525i | ||||
\(717\) | 41.7211 | + | 0.348775i | 1.55810 | + | 0.0130253i | ||||
\(718\) | −1.49537 | + | 0.400683i | −0.0558067 | + | 0.0149534i | ||||
\(719\) | 4.31065 | − | 7.46626i | 0.160760 | − | 0.278444i | −0.774381 | − | 0.632719i | \(-0.781939\pi\) |
0.935141 | + | 0.354275i | \(0.115272\pi\) | |||||||
\(720\) | −2.80126 | + | 6.09532i | −0.104397 | + | 0.227159i | ||||
\(721\) | 10.7249 | + | 47.5823i | 0.399415 | + | 1.77206i | ||||
\(722\) | −4.50321 | + | 16.8062i | −0.167592 | + | 0.625463i | ||||
\(723\) | 16.4590 | + | 0.137593i | 0.612118 | + | 0.00511712i | ||||
\(724\) | − | 16.6832i | − | 0.620027i | ||||||
\(725\) | 15.7297 | + | 17.1352i | 0.584186 | + | 0.636385i | ||||
\(726\) | −20.6637 | + | 5.35208i | −0.766900 | + | 0.198634i | ||||
\(727\) | 25.0409 | + | 6.70968i | 0.928714 | + | 0.248848i | 0.691306 | − | 0.722562i | \(-0.257036\pi\) |
0.237408 | + | 0.971410i | \(0.423702\pi\) | |||||||
\(728\) | −0.0195046 | + | 0.486046i | −0.000722890 | + | 0.0180141i | ||||
\(729\) | 26.9660 | + | 1.35367i | 0.998742 | + | 0.0501360i | ||||
\(730\) | −22.7542 | + | 16.6997i | −0.842172 | + | 0.618085i | ||||
\(731\) | −12.1395 | − | 7.00872i | −0.448994 | − | 0.259227i | ||||
\(732\) | −17.4967 | + | 9.90761i | −0.646695 | + | 0.366196i | ||||
\(733\) | 6.10111 | − | 22.7696i | 0.225350 | − | 0.841016i | −0.756915 | − | 0.653514i | \(-0.773294\pi\) |
0.982264 | − | 0.187502i | \(-0.0600392\pi\) | |||||||
\(734\) | −2.17519 | + | 3.76754i | −0.0802878 | + | 0.139063i | ||||
\(735\) | 27.1049 | − | 0.568071i | 0.999780 | − | 0.0209536i | ||||
\(736\) | −0.623987 | − | 1.08078i | −0.0230005 | − | 0.0398380i | ||||
\(737\) | −58.6575 | + | 15.7172i | −2.16068 | + | 0.578952i | ||||
\(738\) | 15.0270 | + | 4.29699i | 0.553152 | + | 0.158174i | ||||
\(739\) | 16.3520 | − | 9.44086i | 0.601520 | − | 0.347287i | −0.168120 | − | 0.985767i | \(-0.553769\pi\) |
0.769639 | + | 0.638479i | \(0.220436\pi\) | |||||||
\(740\) | 20.9873 | − | 8.17232i | 0.771509 | − | 0.300421i | ||||
\(741\) | −0.101028 | − | 0.390054i | −0.00371134 | − | 0.0143290i | ||||
\(742\) | −5.84315 | − | 3.69360i | −0.214509 | − | 0.135596i | ||||
\(743\) | −4.80997 | − | 17.9511i | −0.176461 | − | 0.658561i | −0.996298 | − | 0.0859643i | \(-0.972603\pi\) |
0.819837 | − | 0.572596i | \(-0.194064\pi\) | |||||||
\(744\) | 9.42391 | + | 2.60976i | 0.345497 | + | 0.0956783i | ||||
\(745\) | 24.9857 | + | 34.0442i | 0.915404 | + | 1.24728i | ||||
\(746\) | 3.37754 | − | 1.95003i | 0.123661 | − | 0.0713955i | ||||
\(747\) | 20.9374 | − | 20.2487i | 0.766060 | − | 0.740863i | ||||
\(748\) | 24.1059 | + | 24.1059i | 0.881400 | + | 0.881400i | ||||
\(749\) | −1.55874 | + | 1.43847i | −0.0569552 | + | 0.0525604i | ||||
\(750\) | −1.13087 | − | 19.3319i | −0.0412935 | − | 0.705900i | ||||
\(751\) | 13.5254 | + | 23.4267i | 0.493549 | + | 0.854852i | 0.999972 | − | 0.00743325i | \(-0.00236610\pi\) |
−0.506424 | + | 0.862285i | \(0.669033\pi\) | |||||||
\(752\) | −0.893226 | − | 0.893226i | −0.0325726 | − | 0.0325726i | ||||
\(753\) | 40.8641 | − | 23.1396i | 1.48917 | − | 0.843254i | ||||
\(754\) | 0.855307i | 0.0311484i | ||||||||
\(755\) | 13.8629 | − | 31.5442i | 0.504524 | − | 1.14801i | ||||
\(756\) | 6.08372 | + | 12.3284i | 0.221263 | + | 0.448378i | ||||
\(757\) | −10.6629 | + | 10.6629i | −0.387548 | + | 0.387548i | −0.873812 | − | 0.486264i | \(-0.838359\pi\) |
0.486264 | + | 0.873812i | \(0.338359\pi\) | |||||||
\(758\) | 19.4140 | − | 19.4140i | 0.705150 | − | 0.705150i | ||||
\(759\) | 2.78605 | − | 10.0605i | 0.101127 | − | 0.365174i | ||||
\(760\) | 2.63642 | − | 1.02660i | 0.0956330 | − | 0.0372389i | ||||
\(761\) | −18.1821 | + | 10.4975i | −0.659102 | + | 0.380533i | −0.791935 | − | 0.610606i | \(-0.790926\pi\) |
0.132832 | + | 0.991139i | \(0.457593\pi\) | |||||||
\(762\) | −2.63973 | − | 4.66172i | −0.0956275 | − | 0.168876i | ||||
\(763\) | 9.48647 | − | 15.0073i | 0.343433 | − | 0.543300i | ||||
\(764\) | 13.8102 | 0.499634 | ||||||||
\(765\) | 36.4425 | + | 30.2362i | 1.31758 | + | 1.09319i | ||||
\(766\) | 11.3601 | + | 19.6762i | 0.410457 | + | 0.710932i | ||||
\(767\) | −0.239962 | + | 0.0642975i | −0.00866451 | + | 0.00232165i | ||||
\(768\) | −0.853456 | − | 1.50719i | −0.0307964 | − | 0.0543859i | ||||
\(769\) | −14.7777 | − | 8.53189i | −0.532896 | − | 0.307668i | 0.209299 | − | 0.977852i | \(-0.432882\pi\) |
−0.742195 | + | 0.670184i | \(0.766215\pi\) | |||||||
\(770\) | −21.5559 | − | 18.7531i | −0.776821 | − | 0.675813i | ||||
\(771\) | 23.0604 | − | 5.97287i | 0.830501 | − | 0.215108i | ||||
\(772\) | 2.67173 | − | 2.67173i | 0.0961578 | − | 0.0961578i | ||||
\(773\) | 0.115893 | + | 0.0310535i | 0.00416839 | + | 0.00111692i | 0.260903 | − | 0.965365i | \(-0.415980\pi\) |
−0.256734 | + | 0.966482i | \(0.582647\pi\) | |||||||
\(774\) | −0.0995958 | + | 5.95649i | −0.00357990 | + | 0.214101i | ||||
\(775\) | −27.5538 | + | 6.13437i | −0.989761 | + | 0.220353i | ||||
\(776\) | −8.63895 | + | 4.98770i | −0.310120 | + | 0.179048i | ||||
\(777\) | 14.0923 | − | 43.9531i | 0.505559 | − | 1.57681i | ||||
\(778\) | 14.3113 | − | 3.83470i | 0.513085 | − | 0.137481i | ||||
\(779\) | −3.29590 | − | 5.70867i | −0.118088 | − | 0.204534i | ||||
\(780\) | 0.450082 | − | 0.551790i | 0.0161155 | − | 0.0197572i | ||||
\(781\) | 3.72778 | − | 6.45670i | 0.133390 | − | 0.231039i | ||||
\(782\) | −8.50919 | + | 2.28003i | −0.304288 | + | 0.0815337i | ||||
\(783\) | 11.5576 | + | 21.2307i | 0.413036 | + | 0.758723i | ||||
\(784\) | −3.97450 | + | 5.76223i | −0.141947 | + | 0.205794i | ||||
\(785\) | 13.0714 | − | 16.3016i | 0.466540 | − | 0.581829i | ||||
\(786\) | −6.87919 | − | 26.5596i | −0.245373 | − | 0.947350i | ||||
\(787\) | −16.2043 | + | 16.2043i | −0.577619 | + | 0.577619i | −0.934247 | − | 0.356627i | \(-0.883927\pi\) |
0.356627 | + | 0.934247i | \(0.383927\pi\) | |||||||
\(788\) | −5.44571 | + | 5.44571i | −0.193996 | + | 0.193996i | ||||
\(789\) | −0.196463 | + | 0.193205i | −0.00699425 | + | 0.00687828i | ||||
\(790\) | −12.9377 | + | 16.1348i | −0.460301 | + | 0.574049i | ||||
\(791\) | −10.0364 | − | 10.8756i | −0.356854 | − | 0.386692i | ||||
\(792\) | 3.98332 | − | 13.9301i | 0.141541 | − | 0.494985i | ||||
\(793\) | 2.06162 | − | 0.552411i | 0.0732104 | − | 0.0196167i | ||||
\(794\) | −7.71275 | + | 13.3589i | −0.273715 | + | 0.474089i | ||||
\(795\) | 3.59282 | + | 9.45983i | 0.127424 | + | 0.335506i | ||||
\(796\) | 6.38441 | + | 11.0581i | 0.226289 | + | 0.391945i | ||||
\(797\) | −22.5250 | + | 6.03554i | −0.797875 | + | 0.213790i | −0.634651 | − | 0.772799i | \(-0.718856\pi\) |
−0.163224 | + | 0.986589i | \(0.552189\pi\) | |||||||
\(798\) | 1.77027 | − | 5.52137i | 0.0626669 | − | 0.195455i | ||||
\(799\) | −7.72228 | + | 4.45846i | −0.273195 | + | 0.157729i | ||||
\(800\) | 4.21936 | + | 2.68273i | 0.149177 | + | 0.0948488i | ||||
\(801\) | −12.1033 | − | 21.7972i | −0.427649 | − | 0.770165i | ||||
\(802\) | −3.81863 | − | 1.02320i | −0.134841 | − | 0.0361304i | ||||
\(803\) | 43.1053 | − | 43.1053i | 1.52115 | − | 1.52115i | ||||
\(804\) | 5.81251 | − | 20.9892i | 0.204991 | − | 0.740230i | ||||
\(805\) | 6.98181 | − | 2.40098i | 0.246076 | − | 0.0846233i | ||||
\(806\) | −0.898927 | − | 0.518996i | −0.0316633 | − | 0.0182808i | ||||
\(807\) | 10.7703 | − | 18.2998i | 0.379134 | − | 0.644183i | ||||
\(808\) | −13.8838 | + | 3.72015i | −0.488429 | + | 0.130874i | ||||
\(809\) | 2.79658 | + | 4.84381i | 0.0983224 | + | 0.170299i | 0.910990 | − | 0.412428i | \(-0.135319\pi\) |
−0.812668 | + | 0.582727i | \(0.801986\pi\) | |||||||
\(810\) | 3.71584 | − | 19.7786i | 0.130561 | − | 0.694949i | ||||
\(811\) | 17.5649 | 0.616787 | 0.308393 | − | 0.951259i | \(-0.400209\pi\) | ||||
0.308393 | + | 0.951259i | \(0.400209\pi\) | |||||||
\(812\) | −6.57653 | + | 10.4038i | −0.230791 | + | 0.365103i | ||||
\(813\) | −47.8006 | − | 0.399598i | −1.67644 | − | 0.0140145i | ||||
\(814\) | −42.1268 | + | 24.3219i | −1.47654 | + | 0.852483i | ||||
\(815\) | 8.09080 | − | 3.15051i | 0.283409 | − | 0.110357i | ||||
\(816\) | −11.8359 | + | 3.06560i | −0.414338 | + | 0.107317i | ||||
\(817\) | 1.77664 | − | 1.77664i | 0.0621569 | − | 0.0621569i | ||||
\(818\) | 13.2258 | − | 13.2258i | 0.462429 | − | 0.462429i | ||||
\(819\) | −0.297029 | − | 1.42876i | −0.0103790 | − | 0.0499251i | ||||
\(820\) | 4.68699 | − | 10.6649i | 0.163677 | − | 0.372436i | ||||
\(821\) | 24.6658i | 0.860842i | 0.902628 | + | 0.430421i | \(0.141635\pi\) | ||||
−0.902628 | + | 0.430421i | \(0.858365\pi\) | |||||||
\(822\) | −0.104696 | + | 12.5239i | −0.00365170 | + | 0.436823i | ||||
\(823\) | 15.1451 | + | 15.1451i | 0.527927 | + | 0.527927i | 0.919954 | − | 0.392027i | \(-0.128226\pi\) |
−0.392027 | + | 0.919954i | \(0.628226\pi\) | |||||||
\(824\) | 9.21780 | + | 15.9657i | 0.321117 | + | 0.556191i | ||||
\(825\) | 8.74738 | + | 40.8995i | 0.304545 | + | 1.42394i | ||||
\(826\) | −3.41325 | − | 1.06298i | −0.118762 | − | 0.0369858i | ||||
\(827\) | 12.6164 | + | 12.6164i | 0.438716 | + | 0.438716i | 0.891580 | − | 0.452864i | \(-0.149598\pi\) |
−0.452864 | + | 0.891580i | \(0.649598\pi\) | |||||||
\(828\) | 2.60272 | + | 2.69124i | 0.0904509 | + | 0.0935271i | ||||
\(829\) | −10.9537 | + | 6.32413i | −0.380438 | + | 0.219646i | −0.678009 | − | 0.735054i | \(-0.737157\pi\) |
0.297571 | + | 0.954700i | \(0.403824\pi\) | |||||||
\(830\) | −12.8452 | − | 17.5022i | −0.445863 | − | 0.607511i | ||||
\(831\) | −5.10289 | + | 5.01828i | −0.177017 | + | 0.174082i | ||||
\(832\) | 0.0475855 | + | 0.177591i | 0.00164973 | + | 0.00615687i | ||||
\(833\) | 32.0279 | + | 37.6273i | 1.10970 | + | 1.30371i | ||||
\(834\) | 18.8136 | − | 18.5017i | 0.651463 | − | 0.640662i | ||||
\(835\) | −37.7988 | + | 14.7186i | −1.30808 | + | 0.509358i | ||||
\(836\) | −5.29196 | + | 3.05531i | −0.183026 | + | 0.105670i | ||||
\(837\) | −29.3266 | − | 0.735620i | −1.01367 | − | 0.0254268i | ||||
\(838\) | 23.0318 | − | 6.17135i | 0.795620 | − | 0.213186i | ||||
\(839\) | 7.14105 | + | 12.3687i | 0.246537 | + | 0.427014i | 0.962562 | − | 0.271060i | \(-0.0873741\pi\) |
−0.716026 | + | 0.698074i | \(0.754041\pi\) | |||||||
\(840\) | 9.71750 | − | 3.25117i | 0.335286 | − | 0.112176i | ||||
\(841\) | 3.67925 | − | 6.37264i | 0.126871 | − | 0.219746i | ||||
\(842\) | −2.95213 | + | 11.0175i | −0.101737 | + | 0.379688i | ||||
\(843\) | −30.9909 | − | 18.2397i | −1.06738 | − | 0.628209i | ||||
\(844\) | 6.98763 | + | 4.03431i | 0.240524 | + | 0.138867i | ||||
\(845\) | 23.3738 | − | 17.1545i | 0.804084 | − | 0.590132i | ||||
\(846\) | 3.24978 | + | 1.94942i | 0.111730 | + | 0.0670225i | ||||
\(847\) | 27.5611 | + | 17.4220i | 0.947010 | + | 0.598628i | ||||
\(848\) | −2.52372 | − | 0.676229i | −0.0866649 | − | 0.0232218i | ||||
\(849\) | 4.06992 | − | 14.6966i | 0.139679 | − | 0.504387i | ||||
\(850\) | 26.0006 | − | 23.8680i | 0.891814 | − | 0.818665i | ||||
\(851\) | − | 12.5699i | − | 0.430892i | ||||||
\(852\) | 1.31753 | + | 2.32673i | 0.0451379 | + | 0.0797126i | ||||
\(853\) | −7.17000 | + | 26.7588i | −0.245496 | + | 0.916203i | 0.727638 | + | 0.685962i | \(0.240618\pi\) |
−0.973133 | + | 0.230242i | \(0.926048\pi\) | |||||||
\(854\) | 29.3249 | + | 9.13256i | 1.00348 | + | 0.312510i | ||||
\(855\) | −6.92565 | + | 4.90684i | −0.236852 | + | 0.167810i | ||||
\(856\) | −0.400841 | + | 0.694277i | −0.0137005 | + | 0.0237299i | ||||
\(857\) | −50.9278 | + | 13.6461i | −1.73966 | + | 0.466140i | −0.982371 | − | 0.186940i | \(-0.940143\pi\) |
−0.757288 | + | 0.653081i | \(0.773476\pi\) | |||||||
\(858\) | −0.780076 | + | 1.32542i | −0.0266313 | + | 0.0452490i | ||||
\(859\) | 4.49440 | − | 2.59484i | 0.153347 | − | 0.0885348i | −0.421363 | − | 0.906892i | \(-0.638448\pi\) |
0.574710 | + | 0.818357i | \(0.305115\pi\) | |||||||
\(860\) | 4.38895 | + | 0.673516i | 0.149662 | + | 0.0229667i | ||||
\(861\) | −10.9214 | − | 21.2297i | −0.372199 | − | 0.723506i | ||||
\(862\) | 8.68052 | + | 2.32594i | 0.295660 | + | 0.0792217i | ||||
\(863\) | −7.67533 | − | 28.6447i | −0.261271 | − | 0.975078i | −0.964493 | − | 0.264108i | \(-0.914923\pi\) |
0.703222 | − | 0.710971i | \(-0.251744\pi\) | |||||||
\(864\) | 3.58094 | + | 3.76521i | 0.121826 | + | 0.128095i | ||||
\(865\) | −27.5568 | + | 34.3665i | −0.936958 | + | 1.16849i | ||||
\(866\) | 21.2505i | 0.722122i | ||||||||
\(867\) | −0.475321 | + | 56.8586i | −0.0161427 | + | 1.93102i | ||||
\(868\) | −6.94383 | − | 13.2249i | −0.235689 | − | 0.448883i | ||||
\(869\) | 22.3337 | − | 38.6832i | 0.757620 | − | 1.31224i | ||||
\(870\) | 16.8434 | − | 6.39708i | 0.571045 | − | 0.216881i | ||||
\(871\) | −1.15592 | + | 2.00211i | −0.0391668 | + | 0.0678390i | ||||
\(872\) | 1.73679 | − | 6.48180i | 0.0588153 | − | 0.219502i | ||||
\(873\) | 21.5118 | − | 20.8043i | 0.728065 | − | 0.704118i | ||||
\(874\) | − | 1.57903i | − | 0.0534115i | ||||||
\(875\) | −20.3510 | + | 21.4671i | −0.687990 | + | 0.725720i | ||||
\(876\) | 5.48178 | + | 21.1644i | 0.185212 | + | 0.715079i | ||||
\(877\) | 40.0178 | + | 10.7227i | 1.35130 | + | 0.362081i | 0.860616 | − | 0.509254i | \(-0.170079\pi\) |
0.490688 | + | 0.871335i | \(0.336745\pi\) | |||||||
\(878\) | −13.0852 | + | 13.0852i | −0.441606 | + | 0.441606i | ||||
\(879\) | −23.8113 | + | 23.4165i | −0.803134 | + | 0.789818i | ||||
\(880\) | −9.88643 | − | 4.34486i | −0.333271 | − | 0.146465i | ||||
\(881\) | 25.8897i | 0.872245i | 0.899887 | + | 0.436123i | \(0.143649\pi\) | ||||
−0.899887 | + | 0.436123i | \(0.856351\pi\) | |||||||
\(882\) | 7.37287 | − | 19.6632i | 0.248257 | − | 0.662094i | ||||
\(883\) | −24.3887 | − | 24.3887i | −0.820745 | − | 0.820745i | 0.165470 | − | 0.986215i | \(-0.447086\pi\) |
−0.986215 | + | 0.165470i | \(0.947086\pi\) | |||||||
\(884\) | 1.29783 | 0.0436507 | ||||||||
\(885\) | 3.06094 | + | 4.24462i | 0.102892 | + | 0.142681i | ||||
\(886\) | −1.02591 | −0.0344661 | ||||||||
\(887\) | 7.09099 | − | 26.4639i | 0.238092 | − | 0.888572i | −0.738638 | − | 0.674102i | \(-0.764531\pi\) |
0.976731 | − | 0.214470i | \(-0.0688025\pi\) | |||||||
\(888\) | 0.145836 | − | 17.4451i | 0.00489393 | − | 0.585419i | ||||
\(889\) | −2.43323 | + | 7.81317i | −0.0816080 | + | 0.262045i | ||||
\(890\) | −17.3167 | + | 6.74301i | −0.580457 | + | 0.226026i | ||||
\(891\) | −1.45312 | + | 43.4410i | −0.0486814 | + | 1.45533i | ||||
\(892\) | 14.3356 | + | 3.84121i | 0.479992 | + | 0.128613i | ||||
\(893\) | −0.413674 | − | 1.54385i | −0.0138431 | − | 0.0516630i | ||||
\(894\) | 31.6656 | − | 8.20168i | 1.05906 | − | 0.274305i | ||||
\(895\) | 17.4547 | + | 23.7828i | 0.583445 | + | 0.794973i | ||||
\(896\) | −0.786692 | + | 2.52609i | −0.0262815 | + | 0.0843906i | ||||
\(897\) | −0.195823 | − | 0.345820i | −0.00653835 | − | 0.0115466i | ||||
\(898\) | −12.0732 | − | 12.0732i | −0.402889 | − | 0.402889i | ||||
\(899\) | −13.1320 | − | 22.7452i | −0.437975 | − | 0.758595i | ||||
\(900\) | −14.2326 | − | 4.73640i | −0.474420 | − | 0.157880i | ||||
\(901\) | −9.22160 | + | 15.9723i | −0.307216 | + | 0.532114i | ||||
\(902\) | −6.51201 | + | 24.3032i | −0.216826 | + | 0.809207i | ||||
\(903\) | 6.73883 | − | 6.11534i | 0.224254 | − | 0.203506i | ||||
\(904\) | −4.84409 | − | 2.79673i | −0.161112 | − | 0.0930180i | ||||
\(905\) | 37.0813 | − | 4.07783i | 1.23262 | − | 0.135552i | ||||
\(906\) | −18.7139 | − | 19.0294i | −0.621728 | − | 0.632210i | ||||
\(907\) | −1.08172 | − | 4.03702i | −0.0359178 | − | 0.134047i | 0.945639 | − | 0.325219i | \(-0.105438\pi\) |
−0.981557 | + | 0.191172i | \(0.938771\pi\) | |||||||
\(908\) | 0.808732 | + | 3.01823i | 0.0268387 | + | 0.100163i | ||||
\(909\) | 37.6988 | − | 20.9330i | 1.25039 | − | 0.694303i | ||||
\(910\) | −1.08509 | + | 0.0754505i | −0.0359703 | + | 0.00250116i | ||||
\(911\) | −21.5924 | + | 12.4664i | −0.715389 | + | 0.413030i | −0.813053 | − | 0.582190i | \(-0.802196\pi\) |
0.0976644 | + | 0.995219i | \(0.468863\pi\) | |||||||
\(912\) | 0.0183198 | − | 2.19145i | 0.000606630 | − | 0.0725661i | ||||
\(913\) | 33.1559 | + | 33.1559i | 1.09730 | + | 1.09730i | ||||
\(914\) | 31.2085 | 1.03229 | ||||||||
\(915\) | −26.2980 | − | 36.4676i | −0.869385 | − | 1.20558i | ||||
\(916\) | 7.21542 | + | 12.4975i | 0.238404 | + | 0.412928i | ||||
\(917\) | −22.3931 | + | 35.4251i | −0.739485 | + | 1.16984i | ||||
\(918\) | 32.2151 | − | 17.5373i | 1.06326 | − | 0.578818i | ||||
\(919\) | 43.0102 | + | 24.8319i | 1.41877 | + | 0.819130i | 0.996191 | − | 0.0871944i | \(-0.0277901\pi\) |
0.422583 | + | 0.906324i | \(0.361123\pi\) | |||||||
\(920\) | 2.24969 | − | 1.65109i | 0.0741701 | − | 0.0544347i | ||||
\(921\) | 29.4684 | + | 8.16065i | 0.971015 | + | 0.268902i | ||||
\(922\) | −19.4015 | − | 5.19862i | −0.638955 | − | 0.171207i | ||||
\(923\) | −0.0734605 | − | 0.274158i | −0.00241798 | − | 0.00902403i | ||||
\(924\) | −19.6800 | + | 10.1241i | −0.647424 | + | 0.333060i | ||||
\(925\) | 23.2942 | + | 44.6503i | 0.765910 | + | 1.46809i | ||||
\(926\) | −20.0168 | − | 11.5567i | −0.657793 | − | 0.379777i | ||||
\(927\) | −38.4485 | − | 39.7561i | −1.26282 | − | 1.30576i | ||||
\(928\) | −1.20404 | + | 4.49353i | −0.0395245 | + | 0.147507i | ||||
\(929\) | 8.08865 | 0.265380 | 0.132690 | − | 0.991158i | \(-0.457639\pi\) | ||||
0.132690 | + | 0.991158i | \(0.457639\pi\) | |||||||
\(930\) | −3.49716 | + | 21.5841i | −0.114676 | + | 0.707771i | ||||
\(931\) | −8.00052 | + | 3.79961i | −0.262206 | + | 0.124527i | ||||
\(932\) | −14.5317 | + | 3.89376i | −0.476002 | + | 0.127544i | ||||
\(933\) | 12.0460 | − | 6.82116i | 0.394369 | − | 0.223315i | ||||
\(934\) | 12.5650 | + | 7.25441i | 0.411140 | + | 0.237372i | ||||
\(935\) | −47.6874 | + | 59.4716i | −1.55954 | + | 1.94493i | ||||
\(936\) | −0.267760 | − | 0.482216i | −0.00875200 | − | 0.0157617i | ||||
\(937\) | 2.74794 | − | 2.74794i | 0.0897713 | − | 0.0897713i | −0.660795 | − | 0.750566i | \(-0.729781\pi\) |
0.750566 | + | 0.660795i | \(0.229781\pi\) | |||||||
\(938\) | −29.4549 | + | 15.4655i | −0.961736 | + | 0.504965i | ||||
\(939\) | −2.79666 | + | 10.0988i | −0.0912656 | + | 0.329563i | ||||
\(940\) | 1.76702 | − | 2.20367i | 0.0576337 | − | 0.0718759i | ||||
\(941\) | 27.7840i | 0.905733i | 0.891578 | + | 0.452866i | \(0.149599\pi\) | ||||
−0.891578 | + | 0.452866i | \(0.850401\pi\) | |||||||
\(942\) | −7.97518 | − | 14.0840i | −0.259845 | − | 0.458882i | ||||
\(943\) | −4.59737 | − | 4.59737i | −0.149711 | − | 0.149711i | ||||
\(944\) | −1.35120 | −0.0439779 | ||||||||
\(945\) | −25.9148 | + | 16.5355i | −0.843009 | + | 0.537899i | ||||
\(946\) | −9.59024 | −0.311806 | ||||||||
\(947\) | −10.0669 | − | 10.0669i | −0.327131 | − | 0.327131i | 0.524364 | − | 0.851494i | \(-0.324303\pi\) |
−0.851494 | + | 0.524364i | \(0.824303\pi\) | |||||||
\(948\) | 7.89356 | + | 13.9399i | 0.256371 | + | 0.452746i | ||||
\(949\) | − | 2.32072i | − | 0.0753339i | ||||||
\(950\) | 2.92621 | + | 5.60896i | 0.0949389 | + | 0.181979i | ||||
\(951\) | 8.79620 | − | 31.7634i | 0.285236 | − | 1.03000i | ||||
\(952\) | 15.7866 | + | 9.97911i | 0.511647 | + | 0.323425i | ||||
\(953\) | −19.6325 | + | 19.6325i | −0.635958 | + | 0.635958i | −0.949556 | − | 0.313598i | \(-0.898466\pi\) |
0.313598 | + | 0.949556i | \(0.398466\pi\) | |||||||
\(954\) | 7.83715 | + | 0.131042i | 0.253737 | + | 0.00424263i | ||||
\(955\) | 3.37558 | + | 30.6954i | 0.109231 | + | 0.993281i | ||||
\(956\) | −20.8613 | − | 12.0443i | −0.674701 | − | 0.389539i | ||||
\(957\) | −33.8619 | + | 19.1745i | −1.09460 | + | 0.619825i | ||||
\(958\) | 0.864482 | − | 0.231637i | 0.0279301 | − | 0.00748386i | ||||
\(959\) | 14.0594 | − | 12.9746i | 0.454002 | − | 0.418971i | ||||
\(960\) | 3.14137 | − | 2.26535i | 0.101387 | − | 0.0731138i | ||||
\(961\) | 0.873619 | 0.0281813 | ||||||||
\(962\) | −0.479294 | + | 1.78875i | −0.0154531 | + | 0.0576716i | ||||
\(963\) | 0.661223 | − | 2.31236i | 0.0213076 | − | 0.0745149i | ||||
\(964\) | −8.22980 | − | 4.75148i | −0.265064 | − | 0.153035i | ||||
\(965\) | 6.59142 | + | 5.28533i | 0.212185 | + | 0.170141i | ||||
\(966\) | 0.277072 | − | 5.71222i | 0.00891465 | − | 0.183788i | ||||
\(967\) | −5.98379 | − | 22.3318i | −0.192426 | − | 0.718143i | −0.992918 | − | 0.118800i | \(-0.962095\pi\) |
0.800492 | − | 0.599343i | \(-0.204571\pi\) | |||||||
\(968\) | 11.9039 | + | 3.18965i | 0.382606 | + | 0.102519i | ||||
\(969\) | −14.9087 | − | 4.12865i | −0.478936 | − | 0.132631i | ||||
\(970\) | −13.1976 | − | 17.9824i | −0.423749 | − | 0.577380i | ||||
\(971\) | 8.03616 | + | 4.63968i | 0.257893 | + | 0.148894i | 0.623373 | − | 0.781925i | \(-0.285762\pi\) |
−0.365480 | + | 0.930819i | \(0.619095\pi\) | |||||||
\(972\) | −13.1625 | − | 8.35152i | −0.422188 | − | 0.267875i | ||||
\(973\) | −40.2742 | − | 1.61617i | −1.29113 | − | 0.0518120i | ||||
\(974\) | −3.62042 | − | 6.27075i | −0.116006 | − | 0.200928i | ||||
\(975\) | 1.33646 | + | 0.865512i | 0.0428009 | + | 0.0277186i | ||||
\(976\) | 11.6088 | 0.371589 | ||||||||
\(977\) | −22.5542 | − | 22.5542i | −0.721573 | − | 0.721573i | 0.247353 | − | 0.968925i | \(-0.420439\pi\) |
−0.968925 | + | 0.247353i | \(0.920439\pi\) | |||||||
\(978\) | 0.0562210 | − | 6.72525i | 0.00179775 | − | 0.215050i | ||||
\(979\) | 34.7590 | − | 20.0681i | 1.11090 | − | 0.641379i | ||||
\(980\) | −13.7790 | − | 7.42556i | −0.440154 | − | 0.237201i | ||||
\(981\) | −0.336561 | + | 20.1286i | −0.0107456 | + | 0.642655i | ||||
\(982\) | 6.24092 | + | 23.2914i | 0.199156 | + | 0.743260i | ||||
\(983\) | −9.18430 | − | 34.2763i | −0.292934 | − | 1.09324i | −0.942845 | − | 0.333233i | \(-0.891860\pi\) |
0.649911 | − | 0.760010i | \(-0.274806\pi\) | |||||||
\(984\) | −6.32708 | − | 6.43376i | −0.201700 | − | 0.205101i | ||||
\(985\) | −13.4351 | − | 10.7729i | −0.428078 | − | 0.343254i | ||||
\(986\) | 28.4389 | + | 16.4192i | 0.905680 | + | 0.522895i | ||||
\(987\) | −1.22558 | − | 5.65754i | −0.0390108 | − | 0.180081i | ||||
\(988\) | −0.0602088 | + | 0.224702i | −0.00191550 | + | 0.00714873i | ||||
\(989\) | 1.23910 | − | 2.14618i | 0.0394010 | − | 0.0682445i | ||||
\(990\) | 31.9356 | + | 5.44872i | 1.01498 | + | 0.173172i | ||||
\(991\) | −21.7071 | − | 37.5978i | −0.689548 | − | 1.19433i | −0.971984 | − | 0.235046i | \(-0.924476\pi\) |
0.282436 | − | 0.959286i | \(-0.408857\pi\) | |||||||
\(992\) | −3.99209 | − | 3.99209i | −0.126749 | − | 0.126749i | ||||
\(993\) | 5.06141 | + | 8.93835i | 0.160619 | + | 0.283650i | ||||
\(994\) | 1.21446 | − | 3.89967i | 0.0385204 | − | 0.123690i | ||||
\(995\) | −23.0180 | + | 16.8933i | −0.729720 | + | 0.535555i | ||||
\(996\) | −16.2793 | + | 4.21650i | −0.515830 | + | 0.133605i | ||||
\(997\) | 13.7761 | + | 51.4132i | 0.436294 | + | 1.62827i | 0.737950 | + | 0.674855i | \(0.235794\pi\) |
−0.301656 | + | 0.953417i | \(0.597539\pi\) | |||||||
\(998\) | 0.724010 | + | 0.193998i | 0.0229181 | + | 0.00614089i | ||||
\(999\) | 12.2739 | + | 50.8776i | 0.388329 | + | 1.60969i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 630.2.cd.a.23.9 | yes | 192 | |
5.2 | odd | 4 | inner | 630.2.cd.a.527.28 | yes | 192 | |
7.4 | even | 3 | 630.2.bt.a.473.32 | yes | 192 | ||
9.2 | odd | 6 | 630.2.bt.a.443.45 | yes | 192 | ||
35.32 | odd | 12 | 630.2.bt.a.347.45 | yes | 192 | ||
45.2 | even | 12 | 630.2.bt.a.317.32 | ✓ | 192 | ||
63.11 | odd | 6 | inner | 630.2.cd.a.263.28 | yes | 192 | |
315.137 | even | 12 | inner | 630.2.cd.a.137.9 | yes | 192 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
630.2.bt.a.317.32 | ✓ | 192 | 45.2 | even | 12 | ||
630.2.bt.a.347.45 | yes | 192 | 35.32 | odd | 12 | ||
630.2.bt.a.443.45 | yes | 192 | 9.2 | odd | 6 | ||
630.2.bt.a.473.32 | yes | 192 | 7.4 | even | 3 | ||
630.2.cd.a.23.9 | yes | 192 | 1.1 | even | 1 | trivial | |
630.2.cd.a.137.9 | yes | 192 | 315.137 | even | 12 | inner | |
630.2.cd.a.263.28 | yes | 192 | 63.11 | odd | 6 | inner | |
630.2.cd.a.527.28 | yes | 192 | 5.2 | odd | 4 | inner |