Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(59,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.59");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.r (of order \(10\), 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: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(56\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 119.18 | ||
Character | \(\chi\) | \(=\) | 300.119 |
Dual form | 300.2.r.a.179.18 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{9}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.723230 | − | 1.21529i | −0.511401 | − | 0.859342i | ||||
\(3\) | 1.59388 | + | 0.677902i | 0.920226 | + | 0.391387i | ||||
\(4\) | −0.953877 | + | 1.75787i | −0.476939 | + | 0.878937i | ||||
\(5\) | −1.18493 | − | 1.89629i | −0.529918 | − | 0.848049i | ||||
\(6\) | −0.328891 | − | 2.42731i | −0.134269 | − | 0.990945i | ||||
\(7\) | 2.57099 | 0.971743 | 0.485871 | − | 0.874030i | \(-0.338502\pi\) | ||||
0.485871 | + | 0.874030i | \(0.338502\pi\) | |||||||
\(8\) | 2.82620 | − | 0.112105i | 0.999214 | − | 0.0396352i | ||||
\(9\) | 2.08090 | + | 2.16099i | 0.693633 | + | 0.720329i | ||||
\(10\) | −1.44758 | + | 2.81150i | −0.457764 | + | 0.889074i | ||||
\(11\) | −0.341075 | − | 1.04972i | −0.102838 | − | 0.316503i | 0.886379 | − | 0.462960i | \(-0.153213\pi\) |
−0.989217 | + | 0.146458i | \(0.953213\pi\) | |||||||
\(12\) | −2.71203 | + | 2.15520i | −0.782896 | + | 0.622153i | ||||
\(13\) | 2.85389 | + | 0.927285i | 0.791527 | + | 0.257183i | 0.676754 | − | 0.736209i | \(-0.263386\pi\) |
0.114773 | + | 0.993392i | \(0.463386\pi\) | |||||||
\(14\) | −1.85942 | − | 3.12451i | −0.496950 | − | 0.835060i | ||||
\(15\) | −0.603138 | − | 3.82573i | −0.155730 | − | 0.987800i | ||||
\(16\) | −2.18024 | − | 3.35359i | −0.545059 | − | 0.838398i | ||||
\(17\) | −2.78530 | − | 2.02364i | −0.675536 | − | 0.490805i | 0.196338 | − | 0.980536i | \(-0.437095\pi\) |
−0.871874 | + | 0.489731i | \(0.837095\pi\) | |||||||
\(18\) | 1.12127 | − | 4.09179i | 0.264285 | − | 0.964445i | ||||
\(19\) | 1.92721 | − | 2.65258i | 0.442133 | − | 0.608544i | −0.528551 | − | 0.848901i | \(-0.677265\pi\) |
0.970684 | + | 0.240357i | \(0.0772646\pi\) | |||||||
\(20\) | 4.46373 | − | 0.274130i | 0.998120 | − | 0.0612973i | ||||
\(21\) | 4.09785 | + | 1.74288i | 0.894223 | + | 0.380327i | ||||
\(22\) | −1.02904 | + | 1.17369i | −0.219393 | + | 0.250233i | ||||
\(23\) | 4.10907 | − | 1.33512i | 0.856801 | − | 0.278392i | 0.152509 | − | 0.988302i | \(-0.451265\pi\) |
0.704292 | + | 0.709911i | \(0.251265\pi\) | |||||||
\(24\) | 4.58062 | + | 1.73721i | 0.935016 | + | 0.354606i | ||||
\(25\) | −2.19187 | + | 4.49396i | −0.438373 | + | 0.898793i | ||||
\(26\) | −0.937095 | − | 4.13896i | −0.183779 | − | 0.811716i | ||||
\(27\) | 1.85176 | + | 4.85499i | 0.356372 | + | 0.934344i | ||||
\(28\) | −2.45241 | + | 4.51947i | −0.463462 | + | 0.854100i | ||||
\(29\) | 1.76223 | + | 2.42550i | 0.327238 | + | 0.450404i | 0.940660 | − | 0.339351i | \(-0.110208\pi\) |
−0.613422 | + | 0.789755i | \(0.710208\pi\) | |||||||
\(30\) | −4.21318 | + | 3.49987i | −0.769218 | + | 0.638986i | ||||
\(31\) | 4.24092 | − | 5.83713i | 0.761692 | − | 1.04838i | −0.235379 | − | 0.971904i | \(-0.575633\pi\) |
0.997071 | − | 0.0764758i | \(-0.0243668\pi\) | |||||||
\(32\) | −2.49879 | + | 5.07504i | −0.441727 | + | 0.897149i | ||||
\(33\) | 0.167975 | − | 1.90434i | 0.0292408 | − | 0.331503i | ||||
\(34\) | −0.444904 | + | 4.84852i | −0.0763005 | + | 0.831515i | ||||
\(35\) | −3.04645 | − | 4.87535i | −0.514944 | − | 0.824085i | ||||
\(36\) | −5.78366 | + | 1.59664i | −0.963944 | + | 0.266107i | ||||
\(37\) | −6.09098 | − | 1.97908i | −1.00135 | − | 0.325358i | −0.237945 | − | 0.971279i | \(-0.576474\pi\) |
−0.763405 | + | 0.645920i | \(0.776474\pi\) | |||||||
\(38\) | −4.61748 | − | 0.423704i | −0.749055 | − | 0.0687339i | ||||
\(39\) | 3.92015 | + | 3.41264i | 0.627726 | + | 0.546459i | ||||
\(40\) | −3.56145 | − | 5.22648i | −0.563114 | − | 0.826379i | ||||
\(41\) | −1.47132 | − | 0.478062i | −0.229782 | − | 0.0746607i | 0.191863 | − | 0.981422i | \(-0.438547\pi\) |
−0.421645 | + | 0.906761i | \(0.638547\pi\) | |||||||
\(42\) | −0.845575 | − | 6.24059i | −0.130475 | − | 0.962944i | ||||
\(43\) | −9.70895 | −1.48060 | −0.740301 | − | 0.672276i | \(-0.765317\pi\) | ||||
−0.740301 | + | 0.672276i | \(0.765317\pi\) | |||||||
\(44\) | 2.17062 | + | 0.401738i | 0.327233 | + | 0.0605643i | ||||
\(45\) | 1.63214 | − | 6.50662i | 0.243305 | − | 0.969950i | ||||
\(46\) | −4.59437 | − | 4.02813i | −0.677402 | − | 0.593916i | ||||
\(47\) | 6.37987 | + | 8.78114i | 0.930600 | + | 1.28086i | 0.959625 | + | 0.281282i | \(0.0907597\pi\) |
−0.0290253 | + | 0.999579i | \(0.509240\pi\) | |||||||
\(48\) | −1.20163 | − | 6.82320i | −0.173440 | − | 0.984844i | ||||
\(49\) | −0.390011 | −0.0557158 | ||||||||
\(50\) | 7.04671 | − | 0.586407i | 0.996555 | − | 0.0829305i | ||||
\(51\) | −3.06761 | − | 5.11360i | −0.429551 | − | 0.716048i | ||||
\(52\) | −4.35231 | + | 4.13226i | −0.603557 | + | 0.573041i | ||||
\(53\) | −10.5402 | + | 7.65790i | −1.44781 | + | 1.05189i | −0.461469 | + | 0.887156i | \(0.652677\pi\) |
−0.986338 | + | 0.164737i | \(0.947323\pi\) | |||||||
\(54\) | 4.56099 | − | 5.76171i | 0.620673 | − | 0.784070i | ||||
\(55\) | −1.58643 | + | 1.89063i | −0.213914 | + | 0.254932i | ||||
\(56\) | 7.26614 | − | 0.288221i | 0.970979 | − | 0.0385152i | ||||
\(57\) | 4.86993 | − | 2.92143i | 0.645039 | − | 0.386953i | ||||
\(58\) | 1.67320 | − | 3.89582i | 0.219702 | − | 0.511546i | ||||
\(59\) | −3.55958 | + | 10.9552i | −0.463417 | + | 1.42625i | 0.397545 | + | 0.917583i | \(0.369862\pi\) |
−0.860962 | + | 0.508669i | \(0.830138\pi\) | |||||||
\(60\) | 7.30047 | + | 2.58904i | 0.942487 | + | 0.334243i | ||||
\(61\) | 0.600696 | + | 1.84875i | 0.0769113 | + | 0.236709i | 0.982119 | − | 0.188261i | \(-0.0602849\pi\) |
−0.905208 | + | 0.424969i | \(0.860285\pi\) | |||||||
\(62\) | −10.1610 | − | 0.932381i | −1.29045 | − | 0.118412i | ||||
\(63\) | 5.34997 | + | 5.55587i | 0.674033 | + | 0.699974i | ||||
\(64\) | 7.97486 | − | 0.633664i | 0.996858 | − | 0.0792080i | ||||
\(65\) | −1.62326 | − | 6.51059i | −0.201341 | − | 0.807539i | ||||
\(66\) | −2.43582 | + | 1.17314i | −0.299829 | + | 0.144403i | ||||
\(67\) | −1.29088 | − | 0.937878i | −0.157706 | − | 0.114580i | 0.506134 | − | 0.862455i | \(-0.331074\pi\) |
−0.663840 | + | 0.747875i | \(0.731074\pi\) | |||||||
\(68\) | 6.21415 | − | 2.96591i | 0.753576 | − | 0.359669i | ||||
\(69\) | 7.45444 | + | 0.657531i | 0.897410 | + | 0.0791574i | ||||
\(70\) | −3.72170 | + | 7.22833i | −0.444829 | + | 0.863951i | ||||
\(71\) | 9.09695 | − | 6.60932i | 1.07961 | − | 0.784382i | 0.101995 | − | 0.994785i | \(-0.467478\pi\) |
0.977615 | + | 0.210403i | \(0.0674776\pi\) | |||||||
\(72\) | 6.12330 | + | 5.87411i | 0.721638 | + | 0.692271i | ||||
\(73\) | −9.87014 | + | 3.20700i | −1.15521 | + | 0.375351i | −0.823104 | − | 0.567890i | \(-0.807760\pi\) |
−0.332108 | + | 0.943241i | \(0.607760\pi\) | |||||||
\(74\) | 2.00001 | + | 8.83365i | 0.232497 | + | 1.02689i | ||||
\(75\) | −6.54004 | + | 5.67696i | −0.755178 | + | 0.655519i | ||||
\(76\) | 2.82458 | + | 5.91803i | 0.324001 | + | 0.678845i | ||||
\(77\) | −0.876900 | − | 2.69882i | −0.0999320 | − | 0.307559i | ||||
\(78\) | 1.31219 | − | 7.23225i | 0.148576 | − | 0.818891i | ||||
\(79\) | 0.915625 | + | 1.26025i | 0.103016 | + | 0.141789i | 0.857413 | − | 0.514629i | \(-0.172071\pi\) |
−0.754397 | + | 0.656419i | \(0.772071\pi\) | |||||||
\(80\) | −3.77596 | + | 8.10815i | −0.422165 | + | 0.906519i | ||||
\(81\) | −0.339725 | + | 8.99359i | −0.0377472 | + | 0.999287i | ||||
\(82\) | 0.483119 | + | 2.13384i | 0.0533516 | + | 0.235643i | ||||
\(83\) | −3.91247 | + | 5.38506i | −0.429450 | + | 0.591087i | −0.967827 | − | 0.251617i | \(-0.919038\pi\) |
0.538377 | + | 0.842704i | \(0.319038\pi\) | |||||||
\(84\) | −6.97260 | + | 5.54100i | −0.760773 | + | 0.604573i | ||||
\(85\) | −0.537022 | + | 7.67964i | −0.0582482 | + | 0.832974i | ||||
\(86\) | 7.02180 | + | 11.7992i | 0.757180 | + | 1.27234i | ||||
\(87\) | 1.16453 | + | 5.06057i | 0.124850 | + | 0.542550i | ||||
\(88\) | −1.08163 | − | 2.92849i | −0.115302 | − | 0.312178i | ||||
\(89\) | −9.75711 | + | 3.17028i | −1.03425 | + | 0.336049i | −0.776470 | − | 0.630154i | \(-0.782992\pi\) |
−0.257782 | + | 0.966203i | \(0.582992\pi\) | |||||||
\(90\) | −9.08787 | + | 2.72225i | −0.957945 | + | 0.286950i | ||||
\(91\) | 7.33732 | + | 2.38404i | 0.769160 | + | 0.249915i | ||||
\(92\) | −1.57258 | + | 8.49677i | −0.163953 | + | 0.885849i | ||||
\(93\) | 10.7165 | − | 6.42875i | 1.11125 | − | 0.666630i | ||||
\(94\) | 6.05755 | − | 14.1042i | 0.624789 | − | 1.45474i | ||||
\(95\) | −7.31370 | − | 0.511433i | −0.750369 | − | 0.0524719i | ||||
\(96\) | −7.42314 | + | 6.39507i | −0.757621 | + | 0.652694i | ||||
\(97\) | 5.79317 | + | 7.97361i | 0.588207 | + | 0.809597i | 0.994565 | − | 0.104116i | \(-0.0332015\pi\) |
−0.406358 | + | 0.913714i | \(0.633201\pi\) | |||||||
\(98\) | 0.282067 | + | 0.473977i | 0.0284931 | + | 0.0478789i | ||||
\(99\) | 1.55869 | − | 2.92142i | 0.156654 | − | 0.293614i | ||||
\(100\) | −5.80905 | − | 8.13972i | −0.580905 | − | 0.813972i | ||||
\(101\) | − | 3.49582i | − | 0.347847i | −0.984759 | − | 0.173923i | \(-0.944355\pi\) | ||
0.984759 | − | 0.173923i | \(-0.0556445\pi\) | |||||||
\(102\) | −3.99595 | + | 7.42635i | −0.395658 | + | 0.735319i | ||||
\(103\) | −11.4232 | + | 8.29944i | −1.12556 | + | 0.817769i | −0.985043 | − | 0.172309i | \(-0.944877\pi\) |
−0.140519 | + | 0.990078i | \(0.544877\pi\) | |||||||
\(104\) | 8.16963 | + | 2.30076i | 0.801098 | + | 0.225608i | ||||
\(105\) | −1.55066 | − | 9.83592i | −0.151329 | − | 0.959887i | ||||
\(106\) | 16.9296 | + | 7.27101i | 1.64435 | + | 0.706223i | ||||
\(107\) | − | 17.4584i | − | 1.68777i | −0.536527 | − | 0.843883i | \(-0.680264\pi\) | ||
0.536527 | − | 0.843883i | \(-0.319736\pi\) | |||||||
\(108\) | −10.3008 | − | 1.37591i | −0.991197 | − | 0.132397i | ||||
\(109\) | 5.59363 | − | 17.2154i | 0.535772 | − | 1.64894i | −0.206203 | − | 0.978509i | \(-0.566111\pi\) |
0.741975 | − | 0.670428i | \(-0.233889\pi\) | |||||||
\(110\) | 3.44502 | + | 0.560618i | 0.328470 | + | 0.0534529i | ||||
\(111\) | −8.36666 | − | 7.28349i | −0.794128 | − | 0.691319i | ||||
\(112\) | −5.60537 | − | 8.62205i | −0.529657 | − | 0.814707i | ||||
\(113\) | −0.317738 | + | 0.977897i | −0.0298903 | + | 0.0919928i | −0.964889 | − | 0.262659i | \(-0.915401\pi\) |
0.934998 | + | 0.354652i | \(0.115401\pi\) | |||||||
\(114\) | −7.07248 | − | 3.80553i | −0.662398 | − | 0.356421i | ||||
\(115\) | −7.40076 | − | 6.20999i | −0.690124 | − | 0.579084i | ||||
\(116\) | −5.94467 | + | 0.784145i | −0.551949 | + | 0.0728060i | ||||
\(117\) | 3.93480 | + | 8.09680i | 0.363773 | + | 0.748550i | ||||
\(118\) | 15.8882 | − | 3.59723i | 1.46263 | − | 0.331152i | ||||
\(119\) | −7.16099 | − | 5.20276i | −0.656447 | − | 0.476937i | ||||
\(120\) | −2.13348 | − | 10.7447i | −0.194759 | − | 0.980851i | ||||
\(121\) | 7.91361 | − | 5.74957i | 0.719419 | − | 0.522688i | ||||
\(122\) | 1.81234 | − | 2.06710i | 0.164081 | − | 0.187146i | ||||
\(123\) | −2.02103 | − | 1.75938i | −0.182230 | − | 0.158638i | ||||
\(124\) | 6.21561 | + | 13.0229i | 0.558179 | + | 1.16949i | ||||
\(125\) | 11.1191 | − | 1.16862i | 0.994522 | − | 0.104525i | ||||
\(126\) | 2.88276 | − | 10.5200i | 0.256817 | − | 0.937192i | ||||
\(127\) | 4.86314 | + | 14.9672i | 0.431534 | + | 1.32813i | 0.896597 | + | 0.442848i | \(0.146032\pi\) |
−0.465063 | + | 0.885278i | \(0.653968\pi\) | |||||||
\(128\) | −6.53775 | − | 9.23352i | −0.577861 | − | 0.816135i | ||||
\(129\) | −15.4749 | − | 6.58172i | −1.36249 | − | 0.579488i | ||||
\(130\) | −6.73828 | + | 6.68139i | −0.590987 | + | 0.585997i | ||||
\(131\) | −2.32741 | − | 1.69096i | −0.203347 | − | 0.147740i | 0.481452 | − | 0.876473i | \(-0.340110\pi\) |
−0.684798 | + | 0.728733i | \(0.740110\pi\) | |||||||
\(132\) | 3.18736 | + | 2.11179i | 0.277424 | + | 0.183808i | ||||
\(133\) | 4.95485 | − | 6.81976i | 0.429640 | − | 0.591348i | ||||
\(134\) | −0.206195 | + | 2.24710i | −0.0178126 | + | 0.194120i | ||||
\(135\) | 7.01229 | − | 9.26433i | 0.603521 | − | 0.797347i | ||||
\(136\) | −8.09870 | − | 5.40698i | −0.694458 | − | 0.463645i | ||||
\(137\) | 2.15741 | − | 6.63983i | 0.184320 | − | 0.567279i | −0.815616 | − | 0.578594i | \(-0.803602\pi\) |
0.999936 | + | 0.0113150i | \(0.00360174\pi\) | |||||||
\(138\) | −4.59218 | − | 9.53488i | −0.390913 | − | 0.811663i | ||||
\(139\) | −0.828998 | + | 0.269358i | −0.0703147 | + | 0.0228466i | −0.343963 | − | 0.938983i | \(-0.611770\pi\) |
0.273648 | + | 0.961830i | \(0.411770\pi\) | |||||||
\(140\) | 11.4762 | − | 0.704785i | 0.969916 | − | 0.0595652i | ||||
\(141\) | 4.21599 | + | 18.3210i | 0.355050 | + | 1.54291i | ||||
\(142\) | −14.6115 | − | 6.27541i | −1.22617 | − | 0.526620i | ||||
\(143\) | − | 3.31206i | − | 0.276968i | ||||||
\(144\) | 2.71021 | − | 11.6899i | 0.225851 | − | 0.974162i | ||||
\(145\) | 2.51134 | − | 6.21576i | 0.208555 | − | 0.516191i | ||||
\(146\) | 11.0358 | + | 9.67572i | 0.913332 | + | 0.800768i | ||||
\(147\) | −0.621630 | − | 0.264389i | −0.0512711 | − | 0.0218064i | ||||
\(148\) | 9.28901 | − | 8.81936i | 0.763552 | − | 0.724947i | ||||
\(149\) | 1.89407i | 0.155168i | 0.996986 | + | 0.0775839i | \(0.0247206\pi\) | ||||
−0.996986 | + | 0.0775839i | \(0.975279\pi\) | |||||||
\(150\) | 11.6291 | + | 3.84232i | 0.949514 | + | 0.313724i | ||||
\(151\) | 8.84470i | 0.719771i | 0.932996 | + | 0.359886i | \(0.117184\pi\) | ||||
−0.932996 | + | 0.359886i | \(0.882816\pi\) | |||||||
\(152\) | 5.14933 | − | 7.71279i | 0.417666 | − | 0.625590i | ||||
\(153\) | −1.42287 | − | 10.2300i | −0.115032 | − | 0.827046i | ||||
\(154\) | −2.64566 | + | 3.01756i | −0.213193 | + | 0.243162i | ||||
\(155\) | −16.0941 | − | 1.12543i | −1.29271 | − | 0.0903968i | ||||
\(156\) | −9.73832 | + | 3.63588i | −0.779690 | + | 0.291104i | ||||
\(157\) | 4.69192i | 0.374456i | 0.982316 | + | 0.187228i | \(0.0599503\pi\) | ||||
−0.982316 | + | 0.187228i | \(0.940050\pi\) | |||||||
\(158\) | 0.869366 | − | 2.02420i | 0.0691631 | − | 0.161037i | ||||
\(159\) | −21.9911 | + | 5.06054i | −1.74401 | + | 0.401327i | ||||
\(160\) | 12.5847 | − | 1.27515i | 0.994906 | − | 0.100810i | ||||
\(161\) | 10.5644 | − | 3.43258i | 0.832590 | − | 0.270525i | ||||
\(162\) | 11.1755 | − | 6.09156i | 0.878034 | − | 0.478598i | ||||
\(163\) | 5.50532 | − | 16.9436i | 0.431210 | − | 1.32713i | −0.465711 | − | 0.884937i | \(-0.654201\pi\) |
0.896921 | − | 0.442191i | \(-0.145799\pi\) | |||||||
\(164\) | 2.24383 | − | 2.13039i | 0.175214 | − | 0.166355i | ||||
\(165\) | −3.81023 | + | 1.93799i | −0.296626 | + | 0.150872i | ||||
\(166\) | 9.37404 | + | 0.860170i | 0.727567 | + | 0.0667621i | ||||
\(167\) | 7.71321 | − | 10.6163i | 0.596866 | − | 0.821516i | −0.398551 | − | 0.917146i | \(-0.630487\pi\) |
0.995417 | + | 0.0956305i | \(0.0304867\pi\) | |||||||
\(168\) | 11.7767 | + | 4.46634i | 0.908595 | + | 0.344586i | ||||
\(169\) | −3.23239 | − | 2.34847i | −0.248645 | − | 0.180651i | ||||
\(170\) | 9.72141 | − | 4.90150i | 0.745598 | − | 0.375928i | ||||
\(171\) | 9.74253 | − | 1.35507i | 0.745030 | − | 0.103625i | ||||
\(172\) | 9.26115 | − | 17.0671i | 0.706156 | − | 1.30135i | ||||
\(173\) | −2.50417 | − | 7.70704i | −0.190388 | − | 0.585955i | 0.809611 | − | 0.586967i | \(-0.199678\pi\) |
−0.999999 | + | 0.00101136i | \(0.999678\pi\) | |||||||
\(174\) | 5.30786 | − | 5.07520i | 0.402387 | − | 0.384750i | ||||
\(175\) | −5.63527 | + | 11.5539i | −0.425986 | + | 0.873396i | ||||
\(176\) | −2.77671 | + | 3.43246i | −0.209302 | + | 0.258732i | ||||
\(177\) | −13.1001 | + | 15.0483i | −0.984665 | + | 1.13110i | ||||
\(178\) | 10.9095 | + | 9.56492i | 0.817698 | + | 0.716921i | ||||
\(179\) | −11.4262 | + | 8.30164i | −0.854036 | + | 0.620493i | −0.926256 | − | 0.376895i | \(-0.876992\pi\) |
0.0722200 | + | 0.997389i | \(0.476992\pi\) | |||||||
\(180\) | 9.88095 | + | 9.07562i | 0.736483 | + | 0.676457i | ||||
\(181\) | −20.1066 | − | 14.6083i | −1.49451 | − | 1.08582i | −0.972505 | − | 0.232882i | \(-0.925184\pi\) |
−0.522005 | − | 0.852942i | \(-0.674816\pi\) | |||||||
\(182\) | −2.40926 | − | 10.6412i | −0.178586 | − | 0.788779i | ||||
\(183\) | −0.295836 | + | 3.35390i | −0.0218688 | + | 0.247927i | ||||
\(184\) | 11.4634 | − | 4.23397i | 0.845094 | − | 0.312132i | ||||
\(185\) | 3.46448 | + | 13.8954i | 0.254714 | + | 1.02161i | ||||
\(186\) | −15.5633 | − | 8.37425i | −1.14116 | − | 0.614030i | ||||
\(187\) | −1.17426 | + | 3.61400i | −0.0858705 | + | 0.264282i | ||||
\(188\) | −21.5217 | + | 2.83887i | −1.56963 | + | 0.207046i | ||||
\(189\) | 4.76086 | + | 12.4821i | 0.346302 | + | 0.907942i | ||||
\(190\) | 4.66794 | + | 9.25817i | 0.338648 | + | 0.671658i | ||||
\(191\) | 4.61987 | − | 14.2185i | 0.334282 | − | 1.02881i | −0.632792 | − | 0.774322i | \(-0.718091\pi\) |
0.967075 | − | 0.254493i | \(-0.0819087\pi\) | |||||||
\(192\) | 13.1405 | + | 4.39619i | 0.948336 | + | 0.317268i | ||||
\(193\) | 16.1589i | 1.16314i | 0.813495 | + | 0.581572i | \(0.197562\pi\) | ||||
−0.813495 | + | 0.581572i | \(0.802438\pi\) | |||||||
\(194\) | 5.50049 | − | 12.8072i | 0.394912 | − | 0.919500i | ||||
\(195\) | 1.82625 | − | 11.4775i | 0.130781 | − | 0.821921i | ||||
\(196\) | 0.372022 | − | 0.685589i | 0.0265730 | − | 0.0489707i | ||||
\(197\) | −20.5862 | + | 14.9567i | −1.46670 | + | 1.06562i | −0.485151 | + | 0.874431i | \(0.661235\pi\) |
−0.981553 | + | 0.191192i | \(0.938765\pi\) | |||||||
\(198\) | −4.67767 | + | 0.218592i | −0.332428 | + | 0.0155347i | ||||
\(199\) | − | 7.88619i | − | 0.559037i | −0.960140 | − | 0.279518i | \(-0.909825\pi\) | ||
0.960140 | − | 0.279518i | \(-0.0901748\pi\) | |||||||
\(200\) | −5.69087 | + | 12.9466i | −0.402405 | + | 0.915462i | ||||
\(201\) | −1.42171 | − | 2.36995i | −0.100280 | − | 0.167164i | ||||
\(202\) | −4.24845 | + | 2.52828i | −0.298920 | + | 0.177889i | ||||
\(203\) | 4.53067 | + | 6.23593i | 0.317991 | + | 0.437677i | ||||
\(204\) | 11.9152 | − | 0.514713i | 0.834230 | − | 0.0360371i | ||||
\(205\) | 0.836873 | + | 3.35653i | 0.0584497 | + | 0.234430i | ||||
\(206\) | 18.3479 | + | 7.88014i | 1.27836 | + | 0.549036i | ||||
\(207\) | 11.4357 | + | 6.10141i | 0.794839 | + | 0.424077i | ||||
\(208\) | −3.11242 | − | 11.5925i | −0.215807 | − | 0.803794i | ||||
\(209\) | −3.44179 | − | 1.11831i | −0.238074 | − | 0.0773549i | ||||
\(210\) | −10.8320 | + | 8.99814i | −0.747482 | + | 0.620931i | ||||
\(211\) | 4.87585 | − | 1.58426i | 0.335667 | − | 0.109065i | −0.136334 | − | 0.990663i | \(-0.543532\pi\) |
0.472001 | + | 0.881598i | \(0.343532\pi\) | |||||||
\(212\) | −3.40756 | − | 25.8330i | −0.234032 | − | 1.77422i | ||||
\(213\) | 18.9799 | − | 4.36762i | 1.30048 | − | 0.299264i | ||||
\(214\) | −21.2171 | + | 12.6264i | −1.45037 | + | 0.863125i | ||||
\(215\) | 11.5045 | + | 18.4110i | 0.784598 | + | 1.25562i | ||||
\(216\) | 5.77773 | + | 13.5136i | 0.393125 | + | 0.919485i | ||||
\(217\) | 10.9034 | − | 15.0072i | 0.740169 | − | 1.01876i | ||||
\(218\) | −24.9673 | + | 5.65280i | −1.69100 | + | 0.382856i | ||||
\(219\) | −17.9058 | − | 1.57941i | −1.20996 | − | 0.106727i | ||||
\(220\) | −1.81022 | − | 4.59216i | −0.122045 | − | 0.309604i | ||||
\(221\) | −6.07246 | − | 8.35803i | −0.408478 | − | 0.562222i | ||||
\(222\) | −2.80057 | + | 15.4356i | −0.187962 | + | 1.03597i | ||||
\(223\) | 4.40201 | + | 13.5480i | 0.294780 | + | 0.907240i | 0.983295 | + | 0.182018i | \(0.0582630\pi\) |
−0.688515 | + | 0.725222i | \(0.741737\pi\) | |||||||
\(224\) | −6.42435 | + | 13.0479i | −0.429245 | + | 0.871799i | ||||
\(225\) | −14.2724 | + | 4.61489i | −0.951497 | + | 0.307659i | ||||
\(226\) | 1.41823 | − | 0.321099i | 0.0943392 | − | 0.0213592i | ||||
\(227\) | 10.7472 | − | 3.49199i | 0.713319 | − | 0.231771i | 0.0701948 | − | 0.997533i | \(-0.477638\pi\) |
0.643124 | + | 0.765762i | \(0.277638\pi\) | |||||||
\(228\) | 0.490187 | + | 11.3474i | 0.0324634 | + | 0.751501i | ||||
\(229\) | 1.07109 | − | 0.778193i | 0.0707797 | − | 0.0514245i | −0.551833 | − | 0.833955i | \(-0.686071\pi\) |
0.622612 | + | 0.782530i | \(0.286071\pi\) | |||||||
\(230\) | −2.19451 | + | 13.4853i | −0.144702 | + | 0.889197i | ||||
\(231\) | 0.431863 | − | 4.89604i | 0.0284145 | − | 0.322136i | ||||
\(232\) | 5.25233 | + | 6.65740i | 0.344832 | + | 0.437080i | ||||
\(233\) | 1.96994 | + | 1.43124i | 0.129055 | + | 0.0937639i | 0.650440 | − | 0.759558i | \(-0.274584\pi\) |
−0.521385 | + | 0.853321i | \(0.674584\pi\) | |||||||
\(234\) | 6.99423 | − | 10.6378i | 0.457227 | − | 0.695414i | ||||
\(235\) | 9.09191 | − | 22.5032i | 0.593091 | − | 1.46795i | ||||
\(236\) | −15.8625 | − | 16.7072i | −1.03256 | − | 1.08755i | ||||
\(237\) | 0.605070 | + | 2.62939i | 0.0393035 | + | 0.170797i | ||||
\(238\) | −1.14384 | + | 12.4655i | −0.0741444 | + | 0.808018i | ||||
\(239\) | 3.38732 | + | 10.4251i | 0.219108 | + | 0.674344i | 0.998836 | + | 0.0482265i | \(0.0153569\pi\) |
−0.779729 | + | 0.626117i | \(0.784643\pi\) | |||||||
\(240\) | −11.5150 | + | 10.3637i | −0.743287 | + | 0.668972i | ||||
\(241\) | −0.276512 | + | 0.851015i | −0.0178117 | + | 0.0548187i | −0.959567 | − | 0.281479i | \(-0.909175\pi\) |
0.941756 | + | 0.336298i | \(0.109175\pi\) | |||||||
\(242\) | −12.7108 | − | 5.45909i | −0.817079 | − | 0.350924i | ||||
\(243\) | −6.63825 | + | 14.1044i | −0.425844 | + | 0.904797i | ||||
\(244\) | −3.82286 | − | 0.707536i | −0.244734 | − | 0.0452953i | ||||
\(245\) | 0.462136 | + | 0.739575i | 0.0295248 | + | 0.0472497i | ||||
\(246\) | −0.676499 | + | 3.72858i | −0.0431320 | + | 0.237726i | ||||
\(247\) | 7.95976 | − | 5.78310i | 0.506467 | − | 0.367970i | ||||
\(248\) | 11.3313 | − | 16.9724i | 0.719541 | − | 1.07775i | ||||
\(249\) | −9.88655 | + | 5.93085i | −0.626534 | + | 0.375853i | ||||
\(250\) | −9.46188 | − | 12.6678i | −0.598422 | − | 0.801181i | ||||
\(251\) | −4.05849 | −0.256170 | −0.128085 | − | 0.991763i | \(-0.540883\pi\) | ||||
−0.128085 | + | 0.991763i | \(0.540883\pi\) | |||||||
\(252\) | −14.8697 | + | 4.10494i | −0.936705 | + | 0.258587i | ||||
\(253\) | −2.80300 | − | 3.85800i | −0.176223 | − | 0.242550i | ||||
\(254\) | 14.6724 | − | 16.7349i | 0.920628 | − | 1.05004i | ||||
\(255\) | −6.06199 | + | 11.8764i | −0.379617 | + | 0.743727i | ||||
\(256\) | −6.49314 | + | 14.6232i | −0.405821 | + | 0.913952i | ||||
\(257\) | 3.37445 | 0.210493 | 0.105246 | − | 0.994446i | \(-0.466437\pi\) | ||||
0.105246 | + | 0.994446i | \(0.466437\pi\) | |||||||
\(258\) | 3.19318 | + | 23.5666i | 0.198799 | + | 1.46719i | ||||
\(259\) | −15.6598 | − | 5.08819i | −0.973055 | − | 0.316165i | ||||
\(260\) | 12.9932 | + | 3.35681i | 0.805803 | + | 0.208181i | ||||
\(261\) | −1.57445 | + | 8.85537i | −0.0974562 | + | 0.548133i | ||||
\(262\) | −0.371764 | + | 4.05144i | −0.0229676 | + | 0.250299i | ||||
\(263\) | 17.6099 | + | 5.72179i | 1.08587 | + | 0.352821i | 0.796649 | − | 0.604442i | \(-0.206604\pi\) |
0.289221 | + | 0.957262i | \(0.406604\pi\) | |||||||
\(264\) | 0.261246 | − | 5.40089i | 0.0160786 | − | 0.332402i | ||||
\(265\) | 27.0111 | + | 10.9132i | 1.65928 | + | 0.670393i | ||||
\(266\) | −11.8715 | − | 1.08934i | −0.727889 | − | 0.0667917i | ||||
\(267\) | −17.7008 | − | 1.56133i | −1.08327 | − | 0.0955516i | ||||
\(268\) | 2.88001 | − | 1.37458i | 0.175925 | − | 0.0839658i | ||||
\(269\) | 8.22156 | − | 11.3160i | 0.501278 | − | 0.689949i | −0.481140 | − | 0.876644i | \(-0.659777\pi\) |
0.982418 | + | 0.186694i | \(0.0597773\pi\) | |||||||
\(270\) | −16.3304 | − | 1.82175i | −0.993835 | − | 0.110868i | ||||
\(271\) | −1.77357 | − | 2.44111i | −0.107737 | − | 0.148287i | 0.751744 | − | 0.659455i | \(-0.229213\pi\) |
−0.859481 | + | 0.511168i | \(0.829213\pi\) | |||||||
\(272\) | −0.713846 | + | 13.7528i | −0.0432833 | + | 0.833885i | ||||
\(273\) | 10.0787 | + | 8.77386i | 0.609988 | + | 0.531018i | ||||
\(274\) | −9.62964 | + | 2.18023i | −0.581748 | + | 0.131713i | ||||
\(275\) | 5.46500 | + | 0.768069i | 0.329552 | + | 0.0463163i | ||||
\(276\) | −8.26648 | + | 12.4768i | −0.497584 | + | 0.751013i | ||||
\(277\) | 15.8065 | − | 5.13586i | 0.949723 | − | 0.308584i | 0.207120 | − | 0.978316i | \(-0.433591\pi\) |
0.742603 | + | 0.669732i | \(0.233591\pi\) | |||||||
\(278\) | 0.926904 | + | 0.812668i | 0.0555920 | + | 0.0487406i | ||||
\(279\) | 21.4389 | − | 2.98190i | 1.28351 | − | 0.178521i | ||||
\(280\) | −9.15645 | − | 13.4372i | −0.547202 | − | 0.803028i | ||||
\(281\) | 8.41043 | − | 11.5760i | 0.501724 | − | 0.690564i | −0.480772 | − | 0.876845i | \(-0.659644\pi\) |
0.982496 | + | 0.186282i | \(0.0596437\pi\) | |||||||
\(282\) | 19.2163 | − | 18.3740i | 1.14431 | − | 1.09415i | ||||
\(283\) | 23.9062 | + | 17.3689i | 1.42108 | + | 1.03247i | 0.991592 | + | 0.129400i | \(0.0413053\pi\) |
0.429486 | + | 0.903074i | \(0.358695\pi\) | |||||||
\(284\) | 2.94097 | + | 22.2958i | 0.174515 | + | 1.32301i | ||||
\(285\) | −11.3104 | − | 5.77313i | −0.669973 | − | 0.341971i | ||||
\(286\) | −4.02513 | + | 2.39538i | −0.238011 | + | 0.141642i | ||||
\(287\) | −3.78275 | − | 1.22909i | −0.223289 | − | 0.0725510i | ||||
\(288\) | −16.1668 | + | 5.16081i | −0.952639 | + | 0.304103i | ||||
\(289\) | −1.59049 | − | 4.89504i | −0.0935585 | − | 0.287944i | ||||
\(290\) | −9.37024 | + | 1.44341i | −0.550240 | + | 0.0847598i | ||||
\(291\) | 3.82828 | + | 16.6362i | 0.224418 | + | 0.975229i | ||||
\(292\) | 3.77740 | − | 20.4095i | 0.221056 | − | 1.19438i | ||||
\(293\) | −0.613813 | −0.0358593 | −0.0179297 | − | 0.999839i | \(-0.505707\pi\) | ||||
−0.0179297 | + | 0.999839i | \(0.505707\pi\) | |||||||
\(294\) | 0.128271 | + | 0.946676i | 0.00748091 | + | 0.0552113i | ||||
\(295\) | 24.9922 | − | 6.23123i | 1.45510 | − | 0.362796i | ||||
\(296\) | −17.4362 | − | 4.91045i | −1.01346 | − | 0.285414i | ||||
\(297\) | 4.46480 | − | 3.59975i | 0.259074 | − | 0.208879i | ||||
\(298\) | 2.30185 | − | 1.36984i | 0.133342 | − | 0.0793530i | ||||
\(299\) | 12.9649 | 0.749778 | ||||||||
\(300\) | −3.74099 | − | 16.9117i | −0.215986 | − | 0.976396i | ||||
\(301\) | −24.9616 | −1.43876 | ||||||||
\(302\) | 10.7489 | − | 6.39675i | 0.618530 | − | 0.368092i | ||||
\(303\) | 2.36982 | − | 5.57191i | 0.136143 | − | 0.320098i | ||||
\(304\) | −13.0975 | − | 0.679831i | −0.751191 | − | 0.0389910i | ||||
\(305\) | 2.79400 | − | 3.32975i | 0.159984 | − | 0.190661i | ||||
\(306\) | −11.4034 | + | 9.12785i | −0.651888 | + | 0.521804i | ||||
\(307\) | −14.6167 | −0.834219 | −0.417109 | − | 0.908856i | \(-0.636957\pi\) | ||||
−0.417109 | + | 0.908856i | \(0.636957\pi\) | |||||||
\(308\) | 5.58064 | + | 1.03286i | 0.317986 | + | 0.0588529i | ||||
\(309\) | −23.8334 | + | 5.48450i | −1.35584 | + | 0.312002i | ||||
\(310\) | 10.2720 | + | 20.3730i | 0.583412 | + | 1.15711i | ||||
\(311\) | 2.17174 | + | 6.68393i | 0.123148 | + | 0.379011i | 0.993559 | − | 0.113315i | \(-0.0361468\pi\) |
−0.870411 | + | 0.492326i | \(0.836147\pi\) | |||||||
\(312\) | 11.4617 | + | 9.20534i | 0.648892 | + | 0.521150i | ||||
\(313\) | −8.47040 | − | 2.75220i | −0.478775 | − | 0.155564i | 0.0596800 | − | 0.998218i | \(-0.480992\pi\) |
−0.538455 | + | 0.842654i | \(0.680992\pi\) | |||||||
\(314\) | 5.70206 | − | 3.39334i | 0.321786 | − | 0.191497i | ||||
\(315\) | 4.19622 | − | 16.7285i | 0.236430 | − | 0.942542i | ||||
\(316\) | −3.08875 | + | 0.407429i | −0.173756 | + | 0.0229197i | ||||
\(317\) | −2.49215 | − | 1.81065i | −0.139973 | − | 0.101696i | 0.515595 | − | 0.856832i | \(-0.327571\pi\) |
−0.655568 | + | 0.755136i | \(0.727571\pi\) | |||||||
\(318\) | 22.0547 | + | 23.0657i | 1.23676 | + | 1.29346i | ||||
\(319\) | 1.94504 | − | 2.67712i | 0.108902 | − | 0.149890i | ||||
\(320\) | −10.6513 | − | 14.3718i | −0.595426 | − | 0.803410i | ||||
\(321\) | 11.8351 | − | 27.8265i | 0.660569 | − | 1.55313i | ||||
\(322\) | −11.8121 | − | 10.3563i | −0.658261 | − | 0.577133i | ||||
\(323\) | −10.7358 | + | 3.48826i | −0.597353 | + | 0.194092i | ||||
\(324\) | −15.4855 | − | 9.17597i | −0.860307 | − | 0.509776i | ||||
\(325\) | −10.4225 | + | 10.7928i | −0.578138 | + | 0.598677i | ||||
\(326\) | −24.5731 | + | 5.56356i | −1.36098 | + | 0.308137i | ||||
\(327\) | 20.5859 | − | 23.6473i | 1.13840 | − | 1.30770i | ||||
\(328\) | −4.21185 | − | 1.18616i | −0.232561 | − | 0.0654946i | ||||
\(329\) | 16.4026 | + | 22.5762i | 0.904304 | + | 1.24467i | ||||
\(330\) | 5.11090 | + | 3.22894i | 0.281346 | + | 0.177747i | ||||
\(331\) | 2.71648 | − | 3.73892i | 0.149311 | − | 0.205510i | −0.727809 | − | 0.685780i | \(-0.759461\pi\) |
0.877121 | + | 0.480270i | \(0.159461\pi\) | |||||||
\(332\) | −5.73423 | − | 12.0143i | −0.314707 | − | 0.659371i | ||||
\(333\) | −8.39794 | − | 17.2808i | −0.460204 | − | 0.946981i | ||||
\(334\) | −18.4804 | − | 1.69577i | −1.01120 | − | 0.0927886i | ||||
\(335\) | −0.248888 | + | 3.55921i | −0.0135982 | + | 0.194460i | ||||
\(336\) | −3.08937 | − | 17.5424i | −0.168539 | − | 0.957016i | ||||
\(337\) | 21.9091 | + | 7.11871i | 1.19347 | + | 0.387781i | 0.837354 | − | 0.546662i | \(-0.184102\pi\) |
0.356114 | + | 0.934443i | \(0.384102\pi\) | |||||||
\(338\) | −0.516318 | + | 5.62678i | −0.0280840 | + | 0.306057i | ||||
\(339\) | −1.16935 | + | 1.34325i | −0.0635106 | + | 0.0729555i | ||||
\(340\) | −12.9876 | − | 8.26945i | −0.704350 | − | 0.448474i | ||||
\(341\) | −7.57382 | − | 2.46088i | −0.410146 | − | 0.133264i | ||||
\(342\) | −8.69290 | − | 10.8600i | −0.470058 | − | 0.587242i | ||||
\(343\) | −18.9996 | −1.02588 | ||||||||
\(344\) | −27.4395 | + | 1.08842i | −1.47944 | + | 0.0586839i | ||||
\(345\) | −7.58614 | − | 14.9150i | −0.408424 | − | 0.802994i | ||||
\(346\) | −7.55523 | + | 8.61726i | −0.406172 | + | 0.463267i | ||||
\(347\) | 8.75552 | + | 12.0509i | 0.470021 | + | 0.646928i | 0.976549 | − | 0.215295i | \(-0.0690713\pi\) |
−0.506528 | + | 0.862224i | \(0.669071\pi\) | |||||||
\(348\) | −10.0067 | − | 2.78007i | −0.536413 | − | 0.149027i | ||||
\(349\) | 14.8560 | 0.795226 | 0.397613 | − | 0.917553i | \(-0.369839\pi\) | ||||
0.397613 | + | 0.917553i | \(0.369839\pi\) | |||||||
\(350\) | 18.1170 | − | 1.50765i | 0.968396 | − | 0.0805871i | ||||
\(351\) | 0.782762 | + | 15.5727i | 0.0417808 | + | 0.831211i | ||||
\(352\) | 6.17965 | + | 0.892057i | 0.329376 | + | 0.0475468i | ||||
\(353\) | 8.40220 | − | 6.10456i | 0.447204 | − | 0.324913i | −0.341287 | − | 0.939959i | \(-0.610863\pi\) |
0.788491 | + | 0.615046i | \(0.210863\pi\) | |||||||
\(354\) | 27.7625 | + | 5.03711i | 1.47556 | + | 0.267720i | ||||
\(355\) | −23.3125 | − | 9.41889i | −1.23730 | − | 0.499903i | ||||
\(356\) | 3.73414 | − | 20.1758i | 0.197909 | − | 1.06932i | ||||
\(357\) | −7.88679 | − | 13.1470i | −0.417413 | − | 0.695814i | ||||
\(358\) | 18.3527 | + | 7.88222i | 0.969971 | + | 0.416588i | ||||
\(359\) | 1.48956 | − | 4.58440i | 0.0786160 | − | 0.241955i | −0.904023 | − | 0.427484i | \(-0.859400\pi\) |
0.982639 | + | 0.185529i | \(0.0593999\pi\) | |||||||
\(360\) | 3.88334 | − | 18.5720i | 0.204670 | − | 0.978831i | ||||
\(361\) | 2.54928 | + | 7.84589i | 0.134173 | + | 0.412942i | ||||
\(362\) | −3.21168 | + | 35.0005i | −0.168802 | + | 1.83959i | ||||
\(363\) | 16.5110 | − | 3.79947i | 0.866601 | − | 0.199421i | ||||
\(364\) | −11.1897 | + | 10.6240i | −0.586502 | + | 0.556849i | ||||
\(365\) | 17.7769 | + | 14.9166i | 0.930484 | + | 0.780771i | ||||
\(366\) | 4.28993 | − | 2.06611i | 0.224238 | − | 0.107997i | ||||
\(367\) | −10.4183 | − | 7.56936i | −0.543832 | − | 0.395117i | 0.281674 | − | 0.959510i | \(-0.409110\pi\) |
−0.825506 | + | 0.564393i | \(0.809110\pi\) | |||||||
\(368\) | −13.4362 | − | 10.8693i | −0.700410 | − | 0.566600i | ||||
\(369\) | −2.02859 | − | 4.17431i | −0.105604 | − | 0.217306i | ||||
\(370\) | 14.3813 | − | 14.2599i | 0.747649 | − | 0.741337i | ||||
\(371\) | −27.0987 | + | 19.6884i | −1.40690 | + | 1.02217i | ||||
\(372\) | 1.07868 | + | 24.9705i | 0.0559269 | + | 1.29466i | ||||
\(373\) | −27.0471 | + | 8.78812i | −1.40044 | + | 0.455032i | −0.909334 | − | 0.416066i | \(-0.863409\pi\) |
−0.491109 | + | 0.871098i | \(0.663409\pi\) | |||||||
\(374\) | 5.24134 | − | 1.18668i | 0.271023 | − | 0.0613619i | ||||
\(375\) | 18.5147 | + | 5.67501i | 0.956095 | + | 0.293056i | ||||
\(376\) | 19.0152 | + | 24.1021i | 0.980636 | + | 1.24297i | ||||
\(377\) | 2.78008 | + | 8.55620i | 0.143181 | + | 0.440666i | ||||
\(378\) | 11.7263 | − | 14.8133i | 0.603134 | − | 0.761914i | ||||
\(379\) | 16.6749 | + | 22.9510i | 0.856531 | + | 1.17891i | 0.982386 | + | 0.186865i | \(0.0598327\pi\) |
−0.125855 | + | 0.992049i | \(0.540167\pi\) | |||||||
\(380\) | 7.87540 | − | 12.3687i | 0.404000 | − | 0.634501i | ||||
\(381\) | −2.39504 | + | 27.1527i | −0.122702 | + | 1.39107i | ||||
\(382\) | −20.6209 | + | 4.66874i | −1.05506 | + | 0.238874i | ||||
\(383\) | −9.67456 | + | 13.3159i | −0.494347 | + | 0.680410i | −0.981182 | − | 0.193084i | \(-0.938151\pi\) |
0.486835 | + | 0.873494i | \(0.338151\pi\) | |||||||
\(384\) | −4.16096 | − | 19.1491i | −0.212338 | − | 0.977196i | ||||
\(385\) | −4.07869 | + | 4.86078i | −0.207869 | + | 0.247728i | ||||
\(386\) | 19.6378 | − | 11.6866i | 0.999540 | − | 0.594833i | ||||
\(387\) | −20.2033 | − | 20.9809i | −1.02699 | − | 1.06652i | ||||
\(388\) | −19.5426 | + | 2.57781i | −0.992123 | + | 0.130868i | ||||
\(389\) | 7.00832 | − | 2.27714i | 0.355336 | − | 0.115456i | −0.125909 | − | 0.992042i | \(-0.540185\pi\) |
0.481245 | + | 0.876586i | \(0.340185\pi\) | |||||||
\(390\) | −15.2693 | + | 6.08143i | −0.773193 | + | 0.307945i | ||||
\(391\) | −14.1468 | − | 4.59658i | −0.715436 | − | 0.232459i | ||||
\(392\) | −1.10225 | + | 0.0437222i | −0.0556720 | + | 0.00220831i | ||||
\(393\) | −2.56330 | − | 4.27295i | −0.129302 | − | 0.215542i | ||||
\(394\) | 33.0653 | + | 14.2011i | 1.66581 | + | 0.715440i | ||||
\(395\) | 1.30485 | − | 3.22961i | 0.0656542 | − | 0.162499i | ||||
\(396\) | 3.64869 | + | 5.52665i | 0.183353 | + | 0.277725i | ||||
\(397\) | −12.8771 | − | 17.7238i | −0.646281 | − | 0.889530i | 0.352650 | − | 0.935755i | \(-0.385281\pi\) |
−0.998931 | + | 0.0462254i | \(0.985281\pi\) | |||||||
\(398\) | −9.58403 | + | 5.70352i | −0.480404 | + | 0.285892i | ||||
\(399\) | 12.5206 | − | 7.51097i | 0.626812 | − | 0.376019i | ||||
\(400\) | 19.8497 | − | 2.44728i | 0.992485 | − | 0.122364i | ||||
\(401\) | 19.3256i | 0.965074i | 0.875875 | + | 0.482537i | \(0.160285\pi\) | ||||
−0.875875 | + | 0.482537i | \(0.839715\pi\) | |||||||
\(402\) | −1.85196 | + | 3.44182i | −0.0923675 | + | 0.171662i | ||||
\(403\) | 17.5158 | − | 12.7260i | 0.872525 | − | 0.633926i | ||||
\(404\) | 6.14521 | + | 3.33458i | 0.305735 | + | 0.165902i | ||||
\(405\) | 17.4570 | − | 10.0126i | 0.867447 | − | 0.497529i | ||||
\(406\) | 4.30177 | − | 10.0161i | 0.213493 | − | 0.497091i | ||||
\(407\) | 7.06883i | 0.350389i | ||||||||
\(408\) | −9.24295 | − | 14.1082i | −0.457594 | − | 0.698460i | ||||
\(409\) | 3.76500 | − | 11.5875i | 0.186167 | − | 0.572965i | −0.813799 | − | 0.581146i | \(-0.802604\pi\) |
0.999967 | + | 0.00818176i | \(0.00260436\pi\) | |||||||
\(410\) | 3.47392 | − | 3.44459i | 0.171565 | − | 0.170116i | ||||
\(411\) | 7.93980 | − | 9.12057i | 0.391641 | − | 0.449884i | ||||
\(412\) | −3.69303 | − | 27.9972i | −0.181943 | − | 1.37932i | ||||
\(413\) | −9.15164 | + | 28.1658i | −0.450323 | + | 1.38595i | ||||
\(414\) | −0.855666 | − | 18.3105i | −0.0420537 | − | 0.899912i | ||||
\(415\) | 14.8477 | + | 1.03827i | 0.728844 | + | 0.0509666i | ||||
\(416\) | −11.8373 | + | 12.1665i | −0.580370 | + | 0.596513i | ||||
\(417\) | −1.50392 | − | 0.132656i | −0.0736473 | − | 0.00649617i | ||||
\(418\) | 1.13014 | + | 4.99158i | 0.0552768 | + | 0.244146i | ||||
\(419\) | −30.6972 | − | 22.3028i | −1.49966 | − | 1.08956i | −0.970518 | − | 0.241030i | \(-0.922515\pi\) |
−0.529140 | − | 0.848535i | \(-0.677485\pi\) | |||||||
\(420\) | 18.7694 | + | 6.65639i | 0.915855 | + | 0.324799i | ||||
\(421\) | −6.60544 | + | 4.79913i | −0.321929 | + | 0.233895i | −0.736998 | − | 0.675895i | \(-0.763757\pi\) |
0.415069 | + | 0.909790i | \(0.363757\pi\) | |||||||
\(422\) | −5.45170 | − | 4.77980i | −0.265384 | − | 0.232677i | ||||
\(423\) | −5.70006 | + | 32.0595i | −0.277146 | + | 1.55878i | ||||
\(424\) | −28.9302 | + | 22.8244i | −1.40498 | + | 1.10845i | ||||
\(425\) | 15.1992 | − | 8.08151i | 0.737269 | − | 0.392011i | ||||
\(426\) | −19.0348 | − | 19.9074i | −0.922238 | − | 0.964515i | ||||
\(427\) | 1.54438 | + | 4.75312i | 0.0747380 | + | 0.230020i | ||||
\(428\) | 30.6896 | + | 16.6532i | 1.48344 | + | 0.804961i | ||||
\(429\) | 2.24525 | − | 5.27902i | 0.108402 | − | 0.254874i | ||||
\(430\) | 14.0544 | − | 27.2967i | 0.677765 | − | 1.31636i | ||||
\(431\) | 4.82714 | + | 3.50712i | 0.232515 | + | 0.168932i | 0.697942 | − | 0.716154i | \(-0.254099\pi\) |
−0.465427 | + | 0.885086i | \(0.654099\pi\) | |||||||
\(432\) | 12.2444 | − | 16.7951i | 0.589108 | − | 0.808054i | ||||
\(433\) | −19.9211 | + | 27.4191i | −0.957349 | + | 1.31768i | −0.00916382 | + | 0.999958i | \(0.502917\pi\) |
−0.948185 | + | 0.317719i | \(0.897083\pi\) | |||||||
\(434\) | −26.1238 | − | 2.39714i | −1.25398 | − | 0.115066i | ||||
\(435\) | 8.21644 | − | 8.20472i | 0.393948 | − | 0.393386i | ||||
\(436\) | 24.9269 | + | 26.2543i | 1.19378 | + | 1.25735i | ||||
\(437\) | 4.37755 | − | 13.4727i | 0.209407 | − | 0.644487i | ||||
\(438\) | 11.0306 | + | 22.9031i | 0.527062 | + | 1.09435i | ||||
\(439\) | 10.5301 | − | 3.42144i | 0.502575 | − | 0.163296i | −0.0467479 | − | 0.998907i | \(-0.514886\pi\) |
0.549323 | + | 0.835610i | \(0.314886\pi\) | |||||||
\(440\) | −4.27162 | + | 5.52114i | −0.203642 | + | 0.263210i | ||||
\(441\) | −0.811572 | − | 0.842808i | −0.0386463 | − | 0.0401337i | ||||
\(442\) | −5.76567 | + | 13.4246i | −0.274245 | + | 0.638543i | ||||
\(443\) | − | 30.1522i | − | 1.43257i | −0.697805 | − | 0.716287i | \(-0.745840\pi\) | ||
0.697805 | − | 0.716287i | \(-0.254160\pi\) | |||||||
\(444\) | 20.7842 | − | 7.75996i | 0.986375 | − | 0.368271i | ||||
\(445\) | 17.5733 | + | 14.7458i | 0.833055 | + | 0.699018i | ||||
\(446\) | 13.2811 | − | 15.1480i | 0.628879 | − | 0.717281i | ||||
\(447\) | −1.28399 | + | 3.01891i | −0.0607307 | + | 0.142790i | ||||
\(448\) | 20.5033 | − | 1.62914i | 0.968690 | − | 0.0769699i | ||||
\(449\) | 9.62451i | 0.454209i | 0.973870 | + | 0.227104i | \(0.0729258\pi\) | ||||
−0.973870 | + | 0.227104i | \(0.927074\pi\) | |||||||
\(450\) | 15.9307 | + | 14.0076i | 0.750981 | + | 0.660324i | ||||
\(451\) | 1.70753i | 0.0804045i | ||||||||
\(452\) | −1.41594 | − | 1.49134i | −0.0666000 | − | 0.0701466i | ||||
\(453\) | −5.99584 | + | 14.0974i | −0.281709 | + | 0.662353i | ||||
\(454\) | −12.0165 | − | 10.5355i | −0.563963 | − | 0.494457i | ||||
\(455\) | −4.17339 | − | 16.7387i | −0.195652 | − | 0.784720i | ||||
\(456\) | 13.4359 | − | 8.80251i | 0.629195 | − | 0.412215i | ||||
\(457\) | 35.2802i | 1.65034i | 0.564885 | + | 0.825169i | \(0.308920\pi\) | ||||
−0.564885 | + | 0.825169i | \(0.691080\pi\) | |||||||
\(458\) | −1.72038 | − | 0.738878i | −0.0803880 | − | 0.0345255i | ||||
\(459\) | 4.66705 | − | 17.2699i | 0.217839 | − | 0.806092i | ||||
\(460\) | 17.9758 | − | 7.08602i | 0.838125 | − | 0.330388i | ||||
\(461\) | 22.6315 | − | 7.35342i | 1.05405 | − | 0.342483i | 0.269796 | − | 0.962917i | \(-0.413044\pi\) |
0.784258 | + | 0.620434i | \(0.213044\pi\) | |||||||
\(462\) | −6.26247 | + | 3.01612i | −0.291356 | + | 0.140323i | ||||
\(463\) | 9.54546 | − | 29.3779i | 0.443615 | − | 1.36531i | −0.440380 | − | 0.897811i | \(-0.645156\pi\) |
0.883995 | − | 0.467496i | \(-0.154844\pi\) | |||||||
\(464\) | 4.29206 | − | 11.1980i | 0.199254 | − | 0.519852i | ||||
\(465\) | −24.8892 | − | 12.7040i | −1.15421 | − | 0.589136i | ||||
\(466\) | 0.314664 | − | 3.42917i | 0.0145765 | − | 0.158853i | ||||
\(467\) | −10.1374 | + | 13.9529i | −0.469101 | + | 0.645662i | −0.976365 | − | 0.216129i | \(-0.930657\pi\) |
0.507264 | + | 0.861791i | \(0.330657\pi\) | |||||||
\(468\) | −17.9865 | − | 0.806471i | −0.831425 | − | 0.0372791i | ||||
\(469\) | −3.31883 | − | 2.41127i | −0.153250 | − | 0.111342i | ||||
\(470\) | −33.9235 | + | 5.22563i | −1.56477 | + | 0.241040i | ||||
\(471\) | −3.18066 | + | 7.47835i | −0.146557 | + | 0.344584i | ||||
\(472\) | −8.83195 | + | 31.3608i | −0.406523 | + | 1.44350i | ||||
\(473\) | 3.31148 | + | 10.1917i | 0.152262 | + | 0.468614i | ||||
\(474\) | 2.75788 | − | 2.63699i | 0.126673 | − | 0.121121i | ||||
\(475\) | 7.69641 | + | 14.4749i | 0.353136 | + | 0.664156i | ||||
\(476\) | 15.9765 | − | 7.62531i | 0.732282 | − | 0.349506i | ||||
\(477\) | −38.4817 | − | 6.84191i | −1.76195 | − | 0.313269i | ||||
\(478\) | 10.2197 | − | 11.6563i | 0.467440 | − | 0.533148i | ||||
\(479\) | 24.2857 | − | 17.6446i | 1.10964 | − | 0.806201i | 0.127033 | − | 0.991898i | \(-0.459455\pi\) |
0.982607 | + | 0.185698i | \(0.0594546\pi\) | |||||||
\(480\) | 20.9229 | + | 6.49873i | 0.954994 | + | 0.296625i | ||||
\(481\) | −15.5478 | − | 11.2961i | −0.708919 | − | 0.515060i | ||||
\(482\) | 1.23422 | − | 0.279437i | 0.0562170 | − | 0.0127280i | ||||
\(483\) | 19.1653 | + | 1.69051i | 0.872051 | + | 0.0769207i | ||||
\(484\) | 2.55841 | + | 19.3955i | 0.116291 | + | 0.881614i | ||||
\(485\) | 8.25580 | − | 20.4337i | 0.374877 | − | 0.927849i | ||||
\(486\) | 21.9419 | − | 2.13329i | 0.995307 | − | 0.0967679i | ||||
\(487\) | 4.77812 | − | 14.7055i | 0.216517 | − | 0.666372i | −0.782525 | − | 0.622619i | \(-0.786069\pi\) |
0.999042 | − | 0.0437526i | \(-0.0139313\pi\) | |||||||
\(488\) | 1.90495 | + | 5.15761i | 0.0862328 | + | 0.233474i | ||||
\(489\) | 20.2609 | − | 23.2740i | 0.916231 | − | 1.05249i | ||||
\(490\) | 0.564570 | − | 1.09651i | 0.0255047 | − | 0.0495355i | ||||
\(491\) | 1.30331 | − | 4.01117i | 0.0588174 | − | 0.181021i | −0.917331 | − | 0.398125i | \(-0.869661\pi\) |
0.976149 | + | 0.217104i | \(0.0696610\pi\) | |||||||
\(492\) | 5.02059 | − | 1.87448i | 0.226346 | − | 0.0845080i | ||||
\(493\) | − | 10.3219i | − | 0.464874i | ||||||
\(494\) | −12.7849 | − | 5.49093i | −0.575220 | − | 0.247049i | ||||
\(495\) | −7.38681 | + | 0.505952i | −0.332013 | + | 0.0227408i | ||||
\(496\) | −28.8216 | − | 1.49600i | −1.29413 | − | 0.0671723i | ||||
\(497\) | 23.3882 | − | 16.9925i | 1.04910 | − | 0.762218i | ||||
\(498\) | 14.3580 | + | 7.72569i | 0.643396 | + | 0.346196i | ||||
\(499\) | 11.8670i | 0.531241i | 0.964078 | + | 0.265621i | \(0.0855769\pi\) | ||||
−0.964078 | + | 0.265621i | \(0.914423\pi\) | |||||||
\(500\) | −8.55196 | + | 20.6607i | −0.382455 | + | 0.923974i | ||||
\(501\) | 19.4907 | − | 11.6923i | 0.870782 | − | 0.522375i | ||||
\(502\) | 2.93522 | + | 4.93226i | 0.131005 | + | 0.220138i | ||||
\(503\) | −13.2547 | − | 18.2436i | −0.591000 | − | 0.813442i | 0.403847 | − | 0.914826i | \(-0.367673\pi\) |
−0.994847 | + | 0.101385i | \(0.967673\pi\) | |||||||
\(504\) | 15.7429 | + | 15.1023i | 0.701247 | + | 0.672709i | ||||
\(505\) | −6.62910 | + | 4.14231i | −0.294991 | + | 0.184330i | ||||
\(506\) | −2.66139 | + | 6.19669i | −0.118313 | + | 0.275477i | ||||
\(507\) | −3.56000 | − | 5.93441i | −0.158105 | − | 0.263557i | ||||
\(508\) | −30.9493 | − | 5.72810i | −1.37315 | − | 0.254143i | ||||
\(509\) | 4.18815 | + | 1.36081i | 0.185637 | + | 0.0603170i | 0.400360 | − | 0.916358i | \(-0.368885\pi\) |
−0.214723 | + | 0.976675i | \(0.568885\pi\) | |||||||
\(510\) | 18.8175 | − | 1.22224i | 0.833252 | − | 0.0541218i | ||||
\(511\) | −25.3760 | + | 8.24517i | −1.12257 | + | 0.364745i | ||||
\(512\) | 22.4676 | − | 2.68489i | 0.992935 | − | 0.118656i | ||||
\(513\) | 16.4470 | + | 4.44466i | 0.726153 | + | 0.196237i | ||||
\(514\) | −2.44051 | − | 4.10095i | −0.107646 | − | 0.180885i | ||||
\(515\) | 29.2739 | + | 11.8275i | 1.28996 | + | 0.521181i | ||||
\(516\) | 26.3310 | − | 20.9247i | 1.15916 | − | 0.921161i | ||||
\(517\) | 7.04173 | − | 9.69210i | 0.309695 | − | 0.426258i | ||||
\(518\) | 5.14202 | + | 22.7112i | 0.225927 | + | 0.997874i | ||||
\(519\) | 1.23327 | − | 13.9817i | 0.0541348 | − | 0.613727i | ||||
\(520\) | −5.31754 | − | 18.2183i | −0.233190 | − | 0.798924i | ||||
\(521\) | −1.96246 | − | 2.70110i | −0.0859771 | − | 0.118337i | 0.763862 | − | 0.645380i | \(-0.223301\pi\) |
−0.849839 | + | 0.527042i | \(0.823301\pi\) | |||||||
\(522\) | 11.9006 | − | 4.49104i | 0.520873 | − | 0.196568i | ||||
\(523\) | −5.17387 | − | 15.9235i | −0.226237 | − | 0.696287i | −0.998164 | − | 0.0605749i | \(-0.980707\pi\) |
0.771926 | − | 0.635712i | \(-0.219293\pi\) | |||||||
\(524\) | 5.19256 | − | 2.47832i | 0.226838 | − | 0.108266i | ||||
\(525\) | −16.8144 | + | 14.5954i | −0.733839 | + | 0.636996i | ||||
\(526\) | −5.78232 | − | 25.5393i | −0.252121 | − | 1.11357i | ||||
\(527\) | −23.6245 | + | 7.67607i | −1.02910 | + | 0.334375i | ||||
\(528\) | −6.75261 | + | 3.58859i | −0.293870 | + | 0.156173i | ||||
\(529\) | −3.50545 | + | 2.54686i | −0.152411 | + | 0.110733i | ||||
\(530\) | −6.27244 | − | 40.7191i | −0.272457 | − | 1.76873i | ||||
\(531\) | −31.0813 | + | 15.1046i | −1.34881 | + | 0.655482i | ||||
\(532\) | 7.26196 | + | 15.2152i | 0.314846 | + | 0.659663i | ||||
\(533\) | −3.75569 | − | 2.72867i | −0.162677 | − | 0.118192i | ||||
\(534\) | 10.9043 | + | 22.6409i | 0.471874 | + | 0.979766i | ||||
\(535\) | −33.1062 | + | 20.6870i | −1.43131 | + | 0.894378i | ||||
\(536\) | −3.75343 | − | 2.50592i | −0.162123 | − | 0.108239i | ||||
\(537\) | −23.8397 | + | 5.48594i | −1.02876 | + | 0.236736i | ||||
\(538\) | −19.6984 | − | 1.80754i | −0.849257 | − | 0.0779285i | ||||
\(539\) | 0.133023 | + | 0.409402i | 0.00572970 | + | 0.0176342i | ||||
\(540\) | 9.59666 | + | 21.1637i | 0.412974 | + | 0.910743i | ||||
\(541\) | 3.73520 | − | 11.4958i | 0.160589 | − | 0.494241i | −0.838096 | − | 0.545523i | \(-0.816331\pi\) |
0.998684 | + | 0.0512824i | \(0.0163309\pi\) | |||||||
\(542\) | −1.68397 | + | 3.92089i | −0.0723326 | + | 0.168417i | ||||
\(543\) | −22.1445 | − | 36.9141i | −0.950310 | − | 1.58414i | ||||
\(544\) | 17.2300 | − | 9.07889i | 0.738728 | − | 0.389254i | ||||
\(545\) | −39.2736 | + | 9.79195i | −1.68229 | + | 0.419441i | ||||
\(546\) | 3.37363 | − | 18.5940i | 0.144378 | − | 0.795752i | ||||
\(547\) | −23.6775 | + | 17.2027i | −1.01238 | + | 0.735535i | −0.964706 | − | 0.263328i | \(-0.915180\pi\) |
−0.0476706 | + | 0.998863i | \(0.515180\pi\) | |||||||
\(548\) | 9.61407 | + | 10.1260i | 0.410693 | + | 0.432563i | ||||
\(549\) | −2.74514 | + | 5.14516i | −0.117160 | + | 0.219590i | ||||
\(550\) | −3.01902 | − | 7.19707i | −0.128731 | − | 0.306884i | ||||
\(551\) | 9.83002 | 0.418773 | ||||||||
\(552\) | 21.1415 | + | 1.02264i | 0.899842 | + | 0.0435262i | ||||
\(553\) | 2.35406 | + | 3.24009i | 0.100105 | + | 0.137783i | ||||
\(554\) | −17.6733 | − | 15.4952i | −0.750868 | − | 0.658327i | ||||
\(555\) | −3.89772 | + | 24.4961i | −0.165449 | + | 1.03980i | ||||
\(556\) | 0.317265 | − | 1.71421i | 0.0134551 | − | 0.0726986i | ||||
\(557\) | 24.2322 | 1.02675 | 0.513375 | − | 0.858164i | \(-0.328395\pi\) | ||||
0.513375 | + | 0.858164i | \(0.328395\pi\) | |||||||
\(558\) | −19.1291 | − | 23.8979i | −0.809800 | − | 1.01168i | ||||
\(559\) | −27.7083 | − | 9.00297i | −1.17194 | − | 0.380785i | ||||
\(560\) | −9.70796 | + | 20.8460i | −0.410236 | + | 0.880903i | ||||
\(561\) | −4.32157 | + | 4.96425i | −0.182457 | + | 0.209591i | ||||
\(562\) | −20.1509 | − | 1.84906i | −0.850013 | − | 0.0779979i | ||||
\(563\) | −2.48909 | − | 0.808756i | −0.104903 | − | 0.0340850i | 0.256095 | − | 0.966652i | \(-0.417564\pi\) |
−0.360998 | + | 0.932567i | \(0.617564\pi\) | |||||||
\(564\) | −36.2275 | − | 10.0648i | −1.52545 | − | 0.423805i | ||||
\(565\) | 2.23088 | − | 0.556218i | 0.0938538 | − | 0.0234003i | ||||
\(566\) | 3.81861 | − | 41.6148i | 0.160508 | − | 1.74920i | ||||
\(567\) | −0.873430 | + | 23.1224i | −0.0366806 | + | 0.971050i | ||||
\(568\) | 24.9689 | − | 19.6991i | 1.04767 | − | 0.826556i | ||||
\(569\) | 9.45200 | − | 13.0096i | 0.396249 | − | 0.545389i | −0.563549 | − | 0.826083i | \(-0.690564\pi\) |
0.959797 | + | 0.280693i | \(0.0905644\pi\) | |||||||
\(570\) | 1.16400 | + | 17.9208i | 0.0487547 | + | 0.750620i | ||||
\(571\) | −5.15218 | − | 7.09137i | −0.215612 | − | 0.296765i | 0.687487 | − | 0.726197i | \(-0.258714\pi\) |
−0.903099 | + | 0.429432i | \(0.858714\pi\) | |||||||
\(572\) | 5.82218 | + | 3.15930i | 0.243438 | + | 0.132097i | ||||
\(573\) | 17.0023 | − | 19.5307i | 0.710280 | − | 0.815909i | ||||
\(574\) | 1.24209 | + | 5.48607i | 0.0518440 | + | 0.228984i | ||||
\(575\) | −3.00656 | + | 21.3924i | −0.125382 | + | 0.892126i | ||||
\(576\) | 17.9642 | + | 15.9150i | 0.748509 | + | 0.663124i | ||||
\(577\) | 29.7380 | − | 9.66247i | 1.23801 | − | 0.402254i | 0.384400 | − | 0.923167i | \(-0.374408\pi\) |
0.853610 | + | 0.520913i | \(0.174408\pi\) | |||||||
\(578\) | −4.79862 | + | 5.47316i | −0.199596 | + | 0.227653i | ||||
\(579\) | −10.9542 | + | 25.7554i | −0.455240 | + | 1.07036i | ||||
\(580\) | 8.53100 | + | 10.3437i | 0.354231 | + | 0.429498i | ||||
\(581\) | −10.0589 | + | 13.8449i | −0.417315 | + | 0.574384i | ||||
\(582\) | 17.4491 | − | 16.6843i | 0.723288 | − | 0.691585i | ||||
\(583\) | 11.6336 | + | 8.45234i | 0.481816 | + | 0.350060i | ||||
\(584\) | −27.5355 | + | 10.1701i | −1.13943 | + | 0.420843i | ||||
\(585\) | 10.6914 | − | 17.0557i | 0.442037 | − | 0.705167i | ||||
\(586\) | 0.443928 | + | 0.745963i | 0.0183385 | + | 0.0308154i | ||||
\(587\) | −18.7813 | − | 6.10240i | −0.775186 | − | 0.251873i | −0.105402 | − | 0.994430i | \(-0.533613\pi\) |
−0.669783 | + | 0.742557i | \(0.733613\pi\) | |||||||
\(588\) | 1.05772 | − | 0.840551i | 0.0436197 | − | 0.0346638i | ||||
\(589\) | −7.31030 | − | 22.4988i | −0.301216 | − | 0.927046i | ||||
\(590\) | −25.6479 | − | 25.8663i | −1.05591 | − | 1.06490i | ||||
\(591\) | −42.9510 | + | 9.88380i | −1.76677 | + | 0.406565i | ||||
\(592\) | 6.64275 | + | 24.7415i | 0.273015 | + | 1.01687i | ||||
\(593\) | −21.5081 | −0.883230 | −0.441615 | − | 0.897205i | \(-0.645594\pi\) | ||||
−0.441615 | + | 0.897205i | \(0.645594\pi\) | |||||||
\(594\) | −7.60383 | − | 2.82259i | −0.311989 | − | 0.115812i | ||||
\(595\) | −1.38068 | + | 19.7443i | −0.0566023 | + | 0.809436i | ||||
\(596\) | −3.32953 | − | 1.80671i | −0.136383 | − | 0.0740056i | ||||
\(597\) | 5.34606 | − | 12.5696i | 0.218800 | − | 0.514440i | ||||
\(598\) | −9.37659 | − | 15.7561i | −0.383437 | − | 0.644316i | ||||
\(599\) | 31.4351 | 1.28440 | 0.642202 | − | 0.766536i | \(-0.278021\pi\) | ||||
0.642202 | + | 0.766536i | \(0.278021\pi\) | |||||||
\(600\) | −17.8471 | + | 16.7774i | −0.728603 | + | 0.684936i | ||||
\(601\) | 21.2706 | 0.867646 | 0.433823 | − | 0.900998i | \(-0.357164\pi\) | ||||
0.433823 | + | 0.900998i | \(0.357164\pi\) | |||||||
\(602\) | 18.0530 | + | 30.3357i | 0.735785 | + | 1.23639i | ||||
\(603\) | −0.659445 | − | 4.74120i | −0.0268547 | − | 0.193077i | ||||
\(604\) | −15.5479 | − | 8.43676i | −0.632633 | − | 0.343287i | ||||
\(605\) | −20.2800 | − | 8.19367i | −0.824498 | − | 0.333120i | ||||
\(606\) | −8.48543 | + | 1.14974i | −0.344697 | + | 0.0467051i | ||||
\(607\) | 16.3955 | 0.665474 | 0.332737 | − | 0.943020i | \(-0.392028\pi\) | ||||
0.332737 | + | 0.943020i | \(0.392028\pi\) | |||||||
\(608\) | 8.64628 | + | 16.4089i | 0.350653 | + | 0.665470i | ||||
\(609\) | 2.99399 | + | 13.0107i | 0.121323 | + | 0.527219i | ||||
\(610\) | −6.06732 | − | 0.987354i | −0.245659 | − | 0.0399768i | ||||
\(611\) | 10.0648 | + | 30.9764i | 0.407180 | + | 1.25317i | ||||
\(612\) | 19.3403 | + | 7.25694i | 0.781785 | + | 0.293344i | ||||
\(613\) | −0.176354 | − | 0.0573008i | −0.00712287 | − | 0.00231436i | 0.305453 | − | 0.952207i | \(-0.401192\pi\) |
−0.312576 | + | 0.949893i | \(0.601192\pi\) | |||||||
\(614\) | 10.5712 | + | 17.7636i | 0.426620 | + | 0.716880i | ||||
\(615\) | −0.941525 | + | 5.91722i | −0.0379660 | + | 0.238605i | ||||
\(616\) | −2.78085 | − | 7.52911i | −0.112044 | − | 0.303357i | ||||
\(617\) | −21.4593 | − | 15.5911i | −0.863918 | − | 0.627673i | 0.0650304 | − | 0.997883i | \(-0.479286\pi\) |
−0.928948 | + | 0.370210i | \(0.879286\pi\) | |||||||
\(618\) | 23.9023 | + | 24.9980i | 0.961492 | + | 1.00557i | ||||
\(619\) | −20.5698 | + | 28.3119i | −0.826771 | + | 1.13795i | 0.161744 | + | 0.986833i | \(0.448288\pi\) |
−0.988515 | + | 0.151120i | \(0.951712\pi\) | |||||||
\(620\) | 17.3302 | − | 27.2179i | 0.695997 | − | 1.09310i | ||||
\(621\) | 14.0910 | + | 17.4772i | 0.565453 | + | 0.701336i | ||||
\(622\) | 6.55227 | − | 7.47332i | 0.262722 | − | 0.299653i | ||||
\(623\) | −25.0854 | + | 8.15075i | −1.00503 | + | 0.326553i | ||||
\(624\) | 2.89774 | − | 20.5869i | 0.116003 | − | 0.824136i | ||||
\(625\) | −15.3914 | − | 19.7003i | −0.615658 | − | 0.788014i | ||||
\(626\) | 2.78132 | + | 12.2845i | 0.111164 | + | 0.490987i | ||||
\(627\) | −4.72770 | − | 4.11564i | −0.188806 | − | 0.164363i | ||||
\(628\) | −8.24780 | − | 4.47552i | −0.329123 | − | 0.178593i | ||||
\(629\) | 12.9603 | + | 17.8383i | 0.516760 | + | 0.711259i | ||||
\(630\) | −23.3648 | + | 6.99888i | −0.930877 | + | 0.278842i | ||||
\(631\) | −2.41542 | + | 3.32454i | −0.0961564 | + | 0.132348i | −0.854384 | − | 0.519642i | \(-0.826065\pi\) |
0.758228 | + | 0.651990i | \(0.226065\pi\) | |||||||
\(632\) | 2.72902 | + | 3.45908i | 0.108555 | + | 0.137595i | ||||
\(633\) | 8.84548 | + | 0.780229i | 0.351576 | + | 0.0310113i | ||||
\(634\) | −0.398078 | + | 4.33821i | −0.0158097 | + | 0.172293i | ||||
\(635\) | 22.6197 | − | 26.9571i | 0.897637 | − | 1.06976i | ||||
\(636\) | 12.0810 | − | 43.4847i | 0.479043 | − | 1.72428i | ||||
\(637\) | −1.11305 | − | 0.361651i | −0.0441005 | − | 0.0143291i | ||||
\(638\) | −4.66020 | − | 0.427624i | −0.184499 | − | 0.0169298i | ||||
\(639\) | 33.2125 | + | 5.90506i | 1.31387 | + | 0.233601i | ||||
\(640\) | −9.76268 | + | 23.3386i | −0.385904 | + | 0.922539i | ||||
\(641\) | 2.25073 | + | 0.731308i | 0.0888986 | + | 0.0288849i | 0.353129 | − | 0.935575i | \(-0.385118\pi\) |
−0.264230 | + | 0.964460i | \(0.585118\pi\) | |||||||
\(642\) | −42.3769 | + | 5.74190i | −1.67248 | + | 0.226615i | ||||
\(643\) | −38.7571 | −1.52843 | −0.764216 | − | 0.644960i | \(-0.776874\pi\) | ||||
−0.764216 | + | 0.644960i | \(0.776874\pi\) | |||||||
\(644\) | −4.04309 | + | 21.8451i | −0.159320 | + | 0.860818i | ||||
\(645\) | 5.85584 | + | 37.1438i | 0.230573 | + | 1.46254i | ||||
\(646\) | 12.0037 | + | 10.5243i | 0.472278 | + | 0.414072i | ||||
\(647\) | −10.0605 | − | 13.8471i | −0.395520 | − | 0.544386i | 0.564093 | − | 0.825711i | \(-0.309226\pi\) |
−0.959612 | + | 0.281325i | \(0.909226\pi\) | |||||||
\(648\) | 0.0480947 | + | 25.4558i | 0.00188934 | + | 0.999998i | ||||
\(649\) | 12.7140 | 0.499069 | ||||||||
\(650\) | 20.6543 | + | 4.86077i | 0.810129 | + | 0.190655i | ||||
\(651\) | 27.5521 | − | 16.5282i | 1.07985 | − | 0.647793i | ||||
\(652\) | 24.5334 | + | 25.8398i | 0.960800 | + | 1.01196i | ||||
\(653\) | 37.2668 | − | 27.0759i | 1.45836 | − | 1.05956i | 0.474577 | − | 0.880214i | \(-0.342601\pi\) |
0.983786 | − | 0.179349i | \(-0.0573990\pi\) | |||||||
\(654\) | −43.6268 | − | 7.91547i | −1.70594 | − | 0.309519i | ||||
\(655\) | −0.448738 | + | 6.41714i | −0.0175336 | + | 0.250738i | ||||
\(656\) | 1.60461 | + | 5.97650i | 0.0626494 | + | 0.233343i | ||||
\(657\) | −27.4690 | − | 14.6558i | −1.07167 | − | 0.571777i | ||||
\(658\) | 15.5739 | − | 36.2618i | 0.607134 | − | 1.41363i | ||||
\(659\) | 0.449647 | − | 1.38387i | 0.0175158 | − | 0.0539080i | −0.941917 | − | 0.335847i | \(-0.890978\pi\) |
0.959432 | + | 0.281939i | \(0.0909775\pi\) | |||||||
\(660\) | 0.227760 | − | 8.54651i | 0.00886554 | − | 0.332672i | ||||
\(661\) | −3.12329 | − | 9.61249i | −0.121482 | − | 0.373883i | 0.871762 | − | 0.489930i | \(-0.162978\pi\) |
−0.993244 | + | 0.116047i | \(0.962978\pi\) | |||||||
\(662\) | −6.50853 | − | 0.597228i | −0.252961 | − | 0.0232119i | ||||
\(663\) | −4.01284 | − | 17.4382i | −0.155846 | − | 0.677244i | ||||
\(664\) | −10.4538 | + | 15.6579i | −0.405684 | + | 0.607644i | ||||
\(665\) | −18.8034 | − | 1.31489i | −0.729166 | − | 0.0509892i | ||||
\(666\) | −14.9276 | + | 22.7039i | −0.578432 | + | 0.879760i | ||||
\(667\) | 10.4795 | + | 7.61377i | 0.405766 | + | 0.294806i | ||||
\(668\) | 11.3047 | + | 23.6855i | 0.437392 | + | 0.916420i | ||||
\(669\) | −2.16794 | + | 24.5780i | −0.0838174 | + | 0.950240i | ||||
\(670\) | 4.50549 | − | 2.27165i | 0.174062 | − | 0.0877616i | ||||
\(671\) | 1.73579 | − | 1.26113i | 0.0670095 | − | 0.0486852i | ||||
\(672\) | −19.0848 | + | 16.4417i | −0.736213 | + | 0.634251i | ||||
\(673\) | 28.3074 | − | 9.19764i | 1.09117 | − | 0.354543i | 0.292472 | − | 0.956274i | \(-0.405522\pi\) |
0.798699 | + | 0.601731i | \(0.205522\pi\) | |||||||
\(674\) | −7.19402 | − | 31.7745i | −0.277103 | − | 1.22391i | ||||
\(675\) | −25.8770 | − | 2.31975i | −0.996006 | − | 0.0892871i | ||||
\(676\) | 7.21161 | − | 3.44198i | 0.277370 | − | 0.132384i | ||||
\(677\) | 5.31251 | + | 16.3502i | 0.204177 | + | 0.628391i | 0.999746 | + | 0.0225286i | \(0.00717168\pi\) |
−0.795570 | + | 0.605862i | \(0.792828\pi\) | |||||||
\(678\) | 2.47816 | + | 0.449627i | 0.0951731 | + | 0.0172678i | ||||
\(679\) | 14.8942 | + | 20.5001i | 0.571586 | + | 0.786721i | ||||
\(680\) | −0.656807 | + | 21.7644i | −0.0251874 | + | 0.834628i | ||||
\(681\) | 19.4970 | + | 1.71976i | 0.747127 | + | 0.0659015i | ||||
\(682\) | 2.48692 | + | 10.9842i | 0.0952290 | + | 0.420607i | ||||
\(683\) | 2.65684 | − | 3.65683i | 0.101661 | − | 0.139925i | −0.755156 | − | 0.655546i | \(-0.772439\pi\) |
0.856817 | + | 0.515621i | \(0.172439\pi\) | |||||||
\(684\) | −6.91114 | + | 18.4187i | −0.264254 | + | 0.704257i | ||||
\(685\) | −15.1475 | + | 3.77666i | −0.578754 | + | 0.144299i | ||||
\(686\) | 13.7411 | + | 23.0901i | 0.524638 | + | 0.881586i | ||||
\(687\) | 2.23473 | − | 0.514251i | 0.0852602 | − | 0.0196199i | ||||
\(688\) | 21.1678 | + | 32.5598i | 0.807015 | + | 1.24133i | ||||
\(689\) | −37.1816 | + | 12.0810i | −1.41651 | + | 0.460251i | ||||
\(690\) | −12.6395 | + | 20.0063i | −0.481178 | + | 0.761628i | ||||
\(691\) | 28.6103 | + | 9.29604i | 1.08839 | + | 0.353638i | 0.797623 | − | 0.603157i | \(-0.206091\pi\) |
0.290764 | + | 0.956795i | \(0.406091\pi\) | |||||||
\(692\) | 15.9367 | + | 2.94956i | 0.605821 | + | 0.112125i | ||||
\(693\) | 4.00737 | − | 7.51094i | 0.152228 | − | 0.285317i | ||||
\(694\) | 8.31318 | − | 19.3561i | 0.315564 | − | 0.734749i | ||||
\(695\) | 1.49309 | + | 1.25285i | 0.0566361 | + | 0.0475234i | ||||
\(696\) | 3.85851 | + | 14.1717i | 0.146256 | + | 0.537175i | ||||
\(697\) | 3.13066 | + | 4.30898i | 0.118582 | + | 0.163214i | ||||
\(698\) | −10.7443 | − | 18.0545i | −0.406679 | − | 0.683371i | ||||
\(699\) | 2.16960 | + | 3.61665i | 0.0820618 | + | 0.136794i | ||||
\(700\) | −14.9350 | − | 20.9271i | −0.564490 | − | 0.790971i | ||||
\(701\) | 21.6074i | 0.816100i | 0.912960 | + | 0.408050i | \(0.133791\pi\) | ||||
−0.912960 | + | 0.408050i | \(0.866209\pi\) | |||||||
\(702\) | 18.3593 | − | 12.2140i | 0.692928 | − | 0.460986i | ||||
\(703\) | −16.9883 | + | 12.3427i | −0.640725 | + | 0.465514i | ||||
\(704\) | −3.38520 | − | 8.15525i | −0.127584 | − | 0.307363i | ||||
\(705\) | 29.7463 | − | 29.7039i | 1.12031 | − | 1.11871i | ||||
\(706\) | −13.4956 | − | 5.79615i | −0.507912 | − | 0.218141i | ||||
\(707\) | − | 8.98772i | − | 0.338018i | ||||||
\(708\) | −13.9571 | − | 37.3826i | −0.524540 | − | 1.40492i | ||||
\(709\) | −9.22940 | + | 28.4052i | −0.346618 | + | 1.06678i | 0.614095 | + | 0.789232i | \(0.289521\pi\) |
−0.960712 | + | 0.277547i | \(0.910479\pi\) | |||||||
\(710\) | 5.41357 | + | 35.1436i | 0.203168 | + | 1.31891i | ||||
\(711\) | −0.818060 | + | 4.60111i | −0.0306797 | + | 0.172555i | ||||
\(712\) | −27.2202 | + | 10.0537i | −1.02012 | + | 0.376778i | ||||
\(713\) | 9.63300 | − | 29.6473i | 0.360759 | − | 1.11030i | ||||
\(714\) | −10.2735 | + | 19.0931i | −0.384477 | + | 0.714541i | ||||
\(715\) | −6.28064 | + | 3.92457i | −0.234883 | + | 0.146771i | ||||
\(716\) | −3.69401 | − | 28.0046i | −0.138052 | − | 1.04658i | ||||
\(717\) | −1.66822 | + | 18.9126i | −0.0623007 | + | 0.706305i | ||||
\(718\) | −6.64868 | + | 1.50532i | −0.248127 | + | 0.0561780i | ||||
\(719\) | −5.00682 | − | 3.63767i | −0.186723 | − | 0.135662i | 0.490497 | − | 0.871443i | \(-0.336815\pi\) |
−0.677220 | + | 0.735781i | \(0.736815\pi\) | |||||||
\(720\) | −25.3790 | + | 8.71243i | −0.945819 | + | 0.324693i | ||||
\(721\) | −29.3689 | + | 21.3378i | −1.09376 | + | 0.794661i | ||||
\(722\) | 7.69134 | − | 8.77251i | 0.286242 | − | 0.326479i | ||||
\(723\) | −1.01763 | + | 1.16897i | −0.0378461 | + | 0.0434744i | ||||
\(724\) | 44.8587 | − | 21.4103i | 1.66716 | − | 0.795707i | ||||
\(725\) | −14.7627 | + | 2.60302i | −0.548272 | + | 0.0966737i | ||||
\(726\) | −16.5587 | − | 17.3178i | −0.614551 | − | 0.642723i | ||||
\(727\) | −2.25103 | − | 6.92797i | −0.0834862 | − | 0.256944i | 0.900596 | − | 0.434657i | \(-0.143130\pi\) |
−0.984082 | + | 0.177713i | \(0.943130\pi\) | |||||||
\(728\) | 21.0040 | + | 5.91524i | 0.778462 | + | 0.219233i | ||||
\(729\) | −20.1420 | + | 17.9806i | −0.745998 | + | 0.665948i | ||||
\(730\) | 5.27129 | − | 32.3923i | 0.195099 | − | 1.19889i | ||||
\(731\) | 27.0424 | + | 19.6474i | 1.00020 | + | 0.726687i | ||||
\(732\) | −5.61354 | − | 3.71925i | −0.207482 | − | 0.137468i | ||||
\(733\) | −5.71993 | + | 7.87281i | −0.211270 | + | 0.290789i | −0.901480 | − | 0.432821i | \(-0.857518\pi\) |
0.690210 | + | 0.723610i | \(0.257518\pi\) | |||||||
\(734\) | −1.66415 | + | 18.1357i | −0.0614248 | + | 0.669402i | ||||
\(735\) | 0.235230 | + | 1.49208i | 0.00867660 | + | 0.0550360i | ||||
\(736\) | −3.49191 | + | 24.1899i | −0.128713 | + | 0.891652i | ||||
\(737\) | −0.544223 | + | 1.67495i | −0.0200467 | + | 0.0616975i | ||||
\(738\) | −3.60587 | + | 5.48431i | −0.132734 | + | 0.201880i | ||||
\(739\) | 49.8168 | − | 16.1865i | 1.83254 | − | 0.595429i | 0.833459 | − | 0.552581i | \(-0.186357\pi\) |
0.999082 | − | 0.0428478i | \(-0.0136431\pi\) | |||||||
\(740\) | −27.7310 | − | 7.16434i | −1.01941 | − | 0.263367i | ||||
\(741\) | 16.6073 | − | 3.82163i | 0.610083 | − | 0.140391i | ||||
\(742\) | 43.5258 | + | 18.6937i | 1.59788 | + | 0.686267i | ||||
\(743\) | − | 33.0690i | − | 1.21318i | −0.795013 | − | 0.606592i | \(-0.792536\pi\) | ||
0.795013 | − | 0.606592i | \(-0.207464\pi\) | |||||||
\(744\) | 29.5664 | − | 19.3703i | 1.08396 | − | 0.710151i | ||||
\(745\) | 3.59171 | − | 2.24434i | 0.131590 | − | 0.0822263i | ||||
\(746\) | 30.2414 | + | 26.5143i | 1.10722 | + | 0.970757i | ||||
\(747\) | −19.7785 | + | 2.75095i | −0.723657 | + | 0.100652i | ||||
\(748\) | −5.23286 | − | 5.51152i | −0.191332 | − | 0.201521i | ||||
\(749\) | − | 44.8853i | − | 1.64007i | ||||||
\(750\) | −6.49358 | − | 26.6051i | −0.237112 | − | 0.971482i | ||||
\(751\) | − | 50.5408i | − | 1.84426i | −0.386882 | − | 0.922129i | \(-0.626448\pi\) | ||
0.386882 | − | 0.922129i | \(-0.373552\pi\) | |||||||
\(752\) | 15.5387 | − | 40.5404i | 0.566639 | − | 1.47836i | ||||
\(753\) | −6.46874 | − | 2.75126i | −0.235734 | − | 0.100261i | ||||
\(754\) | 8.38766 | − | 9.56670i | 0.305460 | − | 0.348399i | ||||
\(755\) | 16.7722 | − | 10.4804i | 0.610401 | − | 0.381420i | ||||
\(756\) | −26.4833 | − | 3.53744i | −0.963188 | − | 0.128655i | ||||
\(757\) | − | 10.2783i | − | 0.373570i | −0.982401 | − | 0.186785i | \(-0.940193\pi\) | ||
0.982401 | − | 0.186785i | \(-0.0598068\pi\) | |||||||
\(758\) | 15.8324 | − | 36.8637i | 0.575060 | − | 1.33895i | ||||
\(759\) | −1.85230 | − | 8.04935i | −0.0672342 | − | 0.292173i | ||||
\(760\) | −20.7273 | − | 0.625510i | −0.751859 | − | 0.0226896i | ||||
\(761\) | −47.6097 | + | 15.4693i | −1.72585 | + | 0.560762i | −0.992840 | − | 0.119455i | \(-0.961885\pi\) |
−0.733010 | + | 0.680218i | \(0.761885\pi\) | |||||||
\(762\) | 34.7306 | − | 16.7269i | 1.25816 | − | 0.605953i | ||||
\(763\) | 14.3812 | − | 44.2606i | 0.520633 | − | 1.60234i | ||||
\(764\) | 20.5875 | + | 21.6839i | 0.744831 | + | 0.784494i | ||||
\(765\) | −17.7131 | + | 14.8201i | −0.640418 | + | 0.535820i | ||||
\(766\) | 23.1796 | + | 2.12698i | 0.837515 | + | 0.0768510i | ||||
\(767\) | −20.3173 | + | 27.9643i | −0.733615 | + | 1.00973i | ||||
\(768\) | −20.2624 | + | 18.9060i | −0.731156 | + | 0.682210i | ||||
\(769\) | 0.407444 | + | 0.296025i | 0.0146928 | + | 0.0106749i | 0.595107 | − | 0.803646i | \(-0.297109\pi\) |
−0.580415 | + | 0.814321i | \(0.697109\pi\) | |||||||
\(770\) | 8.85711 | + | 1.44134i | 0.319188 | + | 0.0519424i | ||||
\(771\) | 5.37847 | + | 2.28755i | 0.193701 | + | 0.0823840i | ||||
\(772\) | −28.4053 | − | 15.4136i | −1.02233 | − | 0.554749i | ||||
\(773\) | −1.19615 | − | 3.68136i | −0.0430224 | − | 0.132409i | 0.927238 | − | 0.374472i | \(-0.122176\pi\) |
−0.970261 | + | 0.242063i | \(0.922176\pi\) | |||||||
\(774\) | −10.8863 | + | 39.7270i | −0.391300 | + | 1.42796i | ||||
\(775\) | 16.9363 | + | 31.8528i | 0.608370 | + | 1.14419i | ||||
\(776\) | 17.2666 | + | 21.8856i | 0.619833 | + | 0.785648i | ||||
\(777\) | −21.5106 | − | 18.7258i | −0.771688 | − | 0.671784i | ||||
\(778\) | −7.83602 | − | 6.87027i | −0.280935 | − | 0.246311i | ||||
\(779\) | −4.10365 | + | 2.98148i | −0.147029 | + | 0.106822i | ||||
\(780\) | 18.4340 | + | 14.1585i | 0.660042 | + | 0.506954i | ||||
\(781\) | −10.0407 | − | 7.29498i | −0.359284 | − | 0.261035i | ||||
\(782\) | 4.64521 | + | 20.5169i | 0.166112 | + | 0.733684i | ||||
\(783\) | −8.51256 | + | 13.0471i | −0.304214 | + | 0.466264i | ||||
\(784\) | 0.850315 | + | 1.30794i | 0.0303684 | + | 0.0467120i | ||||
\(785\) | 8.89727 | − | 5.55961i | 0.317557 | − | 0.198431i | ||||
\(786\) | −3.33903 | + | 6.20549i | −0.119099 | + | 0.221342i | ||||
\(787\) | 6.19354 | − | 19.0617i | 0.220776 | − | 0.679478i | −0.777917 | − | 0.628367i | \(-0.783724\pi\) |
0.998693 | − | 0.0511112i | \(-0.0162763\pi\) | |||||||
\(788\) | −6.65535 | − | 50.4547i | −0.237087 | − | 1.79738i | ||||
\(789\) | 24.1892 | + | 21.0576i | 0.861157 | + | 0.749670i | ||||
\(790\) | −4.86863 | + | 0.749971i | −0.173218 | + | 0.0266828i | ||||
\(791\) | −0.816901 | + | 2.51416i | −0.0290457 | + | 0.0893934i | ||||
\(792\) | 4.07767 | − | 8.43126i | 0.144894 | − | 0.299592i | ||||
\(793\) | 5.83315i | 0.207141i | ||||||||
\(794\) | −12.2265 | + | 28.4678i | −0.433902 | + | 1.01028i | ||||
\(795\) | 35.6543 | + | 35.7052i | 1.26453 | + | 1.26633i | ||||
\(796\) | 13.8629 | + | 7.52245i | 0.491358 | + | 0.266626i | ||||
\(797\) | −26.4945 | + | 19.2494i | −0.938483 | + | 0.681848i | −0.948055 | − | 0.318106i | \(-0.896953\pi\) |
0.00957178 | + | 0.999954i | \(0.496953\pi\) | |||||||
\(798\) | −18.1833 | − | 9.78399i | −0.643681 | − | 0.346349i | ||||
\(799\) | − | 37.3687i | − | 1.32201i | ||||||
\(800\) | −17.3301 | − | 22.3533i | −0.612710 | − | 0.790308i | ||||
\(801\) | −27.1545 | − | 14.4880i | −0.959457 | − | 0.511907i | ||||
\(802\) | 23.4863 | − | 13.9768i | 0.829329 | − | 0.493540i | ||||
\(803\) | 6.73291 | + | 9.26706i | 0.237599 | + | 0.327027i | ||||
\(804\) | 5.52222 | − | 0.238549i | 0.194754 | − | 0.00841298i | ||||
\(805\) | −19.0273 | − | 15.9658i | −0.670623 | − | 0.562721i | ||||
\(806\) | −28.1338 | − | 12.0830i | −0.990970 | − | 0.425607i | ||||
\(807\) | 20.7753 | − | 12.4629i | 0.731326 | − | 0.438716i | ||||
\(808\) | −0.391899 | − | 9.87990i | −0.0137870 | − | 0.347574i | ||||
\(809\) | −14.2220 | − | 4.62101i | −0.500019 | − | 0.162466i | 0.0481391 | − | 0.998841i | \(-0.484671\pi\) |
−0.548158 | + | 0.836374i | \(0.684671\pi\) | |||||||
\(810\) | −24.7937 | − | 13.9740i | −0.871161 | − | 0.490998i | ||||
\(811\) | 13.2402 | − | 4.30201i | 0.464927 | − | 0.151064i | −0.0671802 | − | 0.997741i | \(-0.521400\pi\) |
0.532107 | + | 0.846677i | \(0.321400\pi\) | |||||||
\(812\) | −15.2837 | + | 2.01603i | −0.536352 | + | 0.0707487i | ||||
\(813\) | −1.17202 | − | 5.09314i | −0.0411046 | − | 0.178624i | ||||
\(814\) | 8.59071 | − | 5.11239i | 0.301104 | − | 0.179189i | ||||
\(815\) | −38.6536 | + | 9.63736i | −1.35397 | + | 0.337582i | ||||
\(816\) | −10.4608 | + | 21.4364i | −0.366202 | + | 0.750423i | ||||
\(817\) | −18.7112 | + | 25.7538i | −0.654623 | + | 0.901011i | ||||
\(818\) | −16.8052 | + | 3.80483i | −0.587579 | + | 0.133033i | ||||
\(819\) | 10.1163 | + | 20.8168i | 0.353494 | + | 0.727398i | ||||
\(820\) | −6.69863 | − | 1.73060i | −0.233926 | − | 0.0604353i | ||||
\(821\) | 10.1641 | + | 13.9897i | 0.354729 | + | 0.488243i | 0.948671 | − | 0.316265i | \(-0.102429\pi\) |
−0.593942 | + | 0.804508i | \(0.702429\pi\) | |||||||
\(822\) | −16.8265 | − | 3.05293i | −0.586890 | − | 0.106483i | ||||
\(823\) | 7.02768 | + | 21.6290i | 0.244970 | + | 0.753939i | 0.995641 | + | 0.0932637i | \(0.0297299\pi\) |
−0.750672 | + | 0.660675i | \(0.770270\pi\) | |||||||
\(824\) | −31.3539 | + | 24.7365i | −1.09226 | + | 0.861738i | ||||
\(825\) | 8.18987 | + | 4.92894i | 0.285135 | + | 0.171604i | ||||
\(826\) | 40.8485 | − | 9.24845i | 1.42130 | − | 0.321795i | ||||
\(827\) | −11.7793 | + | 3.82733i | −0.409606 | + | 0.133089i | −0.506570 | − | 0.862199i | \(-0.669087\pi\) |
0.0969638 | + | 0.995288i | \(0.469087\pi\) | |||||||
\(828\) | −21.6338 | + | 14.2826i | −0.751826 | + | 0.496354i | ||||
\(829\) | 17.0197 | − | 12.3656i | 0.591120 | − | 0.429473i | −0.251596 | − | 0.967832i | \(-0.580955\pi\) |
0.842716 | + | 0.538359i | \(0.180955\pi\) | |||||||
\(830\) | −9.47648 | − | 18.7952i | −0.328933 | − | 0.652390i | ||||
\(831\) | 28.6753 | + | 2.52935i | 0.994736 | + | 0.0877422i | ||||
\(832\) | 23.3470 | + | 5.58657i | 0.809411 | + | 0.193679i | ||||
\(833\) | 1.08630 | + | 0.789242i | 0.0376380 | + | 0.0273456i | ||||
\(834\) | 0.926464 | + | 1.92364i | 0.0320808 | + | 0.0666104i | ||||
\(835\) | −29.2713 | − | 2.04689i | −1.01298 | − | 0.0708354i | ||||
\(836\) | 5.24889 | − | 4.98351i | 0.181537 | − | 0.172358i | ||||
\(837\) | 36.1924 | + | 9.78068i | 1.25099 | + | 0.338070i | ||||
\(838\) | −4.90335 | + | 53.4362i | −0.169383 | + | 1.84592i | ||||
\(839\) | −1.59728 | − | 4.91593i | −0.0551443 | − | 0.169717i | 0.919691 | − | 0.392643i | \(-0.128439\pi\) |
−0.974835 | + | 0.222926i | \(0.928439\pi\) | |||||||
\(840\) | −5.48514 | − | 27.6245i | −0.189255 | − | 0.953135i | ||||
\(841\) | 6.18390 | − | 19.0321i | 0.213238 | − | 0.656278i | ||||
\(842\) | 10.6096 | + | 4.55667i | 0.365631 | + | 0.157033i | ||||
\(843\) | 21.2526 | − | 12.7492i | 0.731977 | − | 0.439107i | ||||
\(844\) | −1.86603 | + | 10.0823i | −0.0642315 | + | 0.347047i | ||||
\(845\) | −0.623223 | + | 8.91234i | −0.0214395 | + | 0.306594i | ||||
\(846\) | 43.0841 | − | 16.2591i | 1.48126 | − | 0.559000i | ||||
\(847\) | 20.3458 | − | 14.7821i | 0.699090 | − | 0.507919i | ||||
\(848\) | 48.6616 | + | 18.6515i | 1.67104 | + | 0.640494i | ||||
\(849\) | 26.3292 | + | 43.8900i | 0.903617 | + | 1.50630i | ||||
\(850\) | −20.8139 | − | 12.6267i | −0.713911 | − | 0.433092i | ||||
\(851\) | −27.6706 | −0.948535 | ||||||||
\(852\) | −10.4268 | + | 37.5304i | −0.357216 | + | 1.28577i | ||||
\(853\) | −11.2390 | − | 15.4692i | −0.384816 | − | 0.529654i | 0.572036 | − | 0.820228i | \(-0.306154\pi\) |
−0.956852 | + | 0.290574i | \(0.906154\pi\) | |||||||
\(854\) | 4.65950 | − | 5.31448i | 0.159445 | − | 0.181858i | ||||
\(855\) | −14.1139 | − | 16.8690i | −0.482684 | − | 0.576909i | ||||
\(856\) | −1.95718 | − | 49.3410i | −0.0668949 | − | 1.68644i | ||||
\(857\) | 15.5467 | 0.531066 | 0.265533 | − | 0.964102i | \(-0.414452\pi\) | ||||
0.265533 | + | 0.964102i | \(0.414452\pi\) | |||||||
\(858\) | −8.03939 | + | 1.08931i | −0.274460 | + | 0.0371883i | ||||
\(859\) | 16.2141 | + | 5.26828i | 0.553218 | + | 0.179751i | 0.572267 | − | 0.820067i | \(-0.306064\pi\) |
−0.0190495 | + | 0.999819i | \(0.506064\pi\) | |||||||
\(860\) | −43.3381 | + | 2.66151i | −1.47782 | + | 0.0907568i | ||||
\(861\) | −5.19605 | − | 4.52336i | −0.177081 | − | 0.154156i | ||||
\(862\) | 0.771053 | − | 8.40285i | 0.0262622 | − | 0.286202i | ||||
\(863\) | −11.6565 | − | 3.78742i | −0.396791 | − | 0.128925i | 0.103823 | − | 0.994596i | \(-0.466892\pi\) |
−0.500614 | + | 0.865671i | \(0.666892\pi\) | |||||||
\(864\) | −29.2665 | − | 2.73382i | −0.995666 | − | 0.0930063i | ||||
\(865\) | −11.6475 | + | 13.8810i | −0.396028 | + | 0.471967i | ||||
\(866\) | 47.7298 | + | 4.37973i | 1.62192 | + | 0.148829i | ||||
\(867\) | 0.783301 | − | 8.88030i | 0.0266023 | − | 0.301591i | ||||
\(868\) | 15.9803 | + | 33.4818i | 0.542406 | + | 1.13645i | ||||
\(869\) | 1.01061 | − | 1.39099i | 0.0342827 | − | 0.0471861i | ||||
\(870\) | −15.9135 | − | 4.05149i | −0.539519 | − | 0.137358i | ||||
\(871\) | −2.81434 | − | 3.87361i | −0.0953604 | − | 0.131252i | ||||
\(872\) | 13.8788 | − | 49.2813i | 0.469995 | − | 1.66888i | ||||
\(873\) | −5.17587 | + | 29.1112i | −0.175177 | + | 0.985266i | ||||
\(874\) | −19.5393 | + | 4.42386i | −0.660926 | + | 0.149639i | ||||
\(875\) | 28.5871 | − | 3.00452i | 0.966420 | − | 0.101571i | ||||
\(876\) | 19.8564 | − | 29.9696i | 0.670885 | − | 1.01258i | ||||
\(877\) | 39.2891 | − | 12.7658i | 1.32670 | − | 0.431070i | 0.441908 | − | 0.897060i | \(-0.354302\pi\) |
0.884790 | + | 0.465990i | \(0.154302\pi\) | |||||||
\(878\) | −11.7737 | − | 10.3227i | −0.397345 | − | 0.348374i | ||||
\(879\) | −0.978343 | − | 0.416105i | −0.0329987 | − | 0.0140349i | ||||
\(880\) | 9.79917 | + | 1.19822i | 0.330330 | + | 0.0403919i | ||||
\(881\) | 17.5600 | − | 24.1693i | 0.591612 | − | 0.814284i | −0.403296 | − | 0.915070i | \(-0.632135\pi\) |
0.994908 | + | 0.100785i | \(0.0321355\pi\) | |||||||
\(882\) | −0.437305 | + | 1.59584i | −0.0147248 | + | 0.0537348i | ||||
\(883\) | −2.61238 | − | 1.89800i | −0.0879135 | − | 0.0638729i | 0.542960 | − | 0.839758i | \(-0.317303\pi\) |
−0.630874 | + | 0.775886i | \(0.717303\pi\) | |||||||
\(884\) | 20.4847 | − | 2.70209i | 0.688976 | − | 0.0908810i | ||||
\(885\) | 44.0588 | + | 7.01046i | 1.48102 | + | 0.235654i | ||||
\(886\) | −36.6438 | + | 21.8070i | −1.23107 | + | 0.732620i | ||||
\(887\) | 19.6943 | + | 6.39907i | 0.661270 | + | 0.214860i | 0.620377 | − | 0.784304i | \(-0.286980\pi\) |
0.0408931 | + | 0.999164i | \(0.486980\pi\) | |||||||
\(888\) | −24.4624 | − | 19.6467i | −0.820904 | − | 0.659300i | ||||
\(889\) | 12.5031 | + | 38.4806i | 0.419340 | + | 1.29060i | ||||
\(890\) | 5.21093 | − | 32.0213i | 0.174671 | − | 1.07336i | ||||
\(891\) | 9.55662 | − | 2.71087i | 0.320159 | − | 0.0908175i | ||||
\(892\) | −28.0146 | − | 5.18495i | −0.937999 | − | 0.173605i | ||||
\(893\) | 35.5881 | 1.19091 | ||||||||
\(894\) | 4.59748 | − | 0.622941i | 0.153763 | − | 0.0208342i | ||||
\(895\) | 29.2817 | + | 11.8306i | 0.978778 | + | 0.395453i | ||||
\(896\) | −16.8085 | − | 23.7393i | −0.561532 | − | 0.793074i | ||||
\(897\) | 20.6644 | + | 8.78892i | 0.689966 | + | 0.293453i | ||||
\(898\) | 11.6966 | − | 6.96073i | 0.390321 | − | 0.232283i | ||||
\(899\) | 21.6314 | 0.721448 | ||||||||
\(900\) | 5.50178 | − | 29.4912i | 0.183393 | − | 0.983040i | ||||
\(901\) | 44.8545 | 1.49432 | ||||||||
\(902\) | 2.07515 | − | 1.23494i | 0.0690950 | − | 0.0411189i | ||||
\(903\) | −39.7858 | − | 16.9215i | −1.32399 | − | 0.563113i | ||||
\(904\) | −0.788365 | + | 2.79936i | −0.0262206 | + | 0.0931052i | ||||
\(905\) | −3.87666 | + | 55.4378i | −0.128865 | + | 1.84282i | ||||
\(906\) | 21.4688 | − | 2.90894i | 0.713254 | − | 0.0966431i | ||||
\(907\) | −11.3583 | −0.377146 | −0.188573 | − | 0.982059i | \(-0.560386\pi\) | ||||
−0.188573 | + | 0.982059i | \(0.560386\pi\) | |||||||
\(908\) | −4.11307 | + | 22.2232i | −0.136497 | + | 0.737503i | ||||
\(909\) | 7.55442 | − | 7.27444i | 0.250564 | − | 0.241278i | ||||
\(910\) | −17.3241 | + | 17.1778i | −0.574287 | + | 0.569438i | ||||
\(911\) | −4.98422 | − | 15.3398i | −0.165135 | − | 0.508232i | 0.833912 | − | 0.551898i | \(-0.186096\pi\) |
−0.999046 | + | 0.0436661i | \(0.986096\pi\) | |||||||
\(912\) | −20.4149 | − | 9.96236i | −0.676005 | − | 0.329887i | ||||
\(913\) | 6.98725 | + | 2.27029i | 0.231244 | + | 0.0751358i | ||||
\(914\) | 42.8758 | − | 25.5157i | 1.41821 | − | 0.843984i | ||||
\(915\) | 6.71053 | − | 3.41316i | 0.221843 | − | 0.112835i | ||||
\(916\) | 0.346276 | + | 2.62514i | 0.0114413 | + | 0.0867372i | ||||
\(917\) | −5.98375 | − | 4.34745i | −0.197601 | − | 0.143565i | ||||
\(918\) | −24.3634 | + | 6.81830i | −0.804112 | + | 0.225038i | ||||
\(919\) | 15.0688 | − | 20.7405i | 0.497075 | − | 0.684165i | −0.484598 | − | 0.874737i | \(-0.661034\pi\) |
0.981673 | + | 0.190572i | \(0.0610341\pi\) | |||||||
\(920\) | −21.6122 | − | 16.7210i | −0.712534 | − | 0.551276i | ||||
\(921\) | −23.2972 | − | 9.90868i | −0.767670 | − | 0.326502i | ||||
\(922\) | −25.3044 | − | 22.1857i | −0.833355 | − | 0.730648i | ||||
\(923\) | 32.0904 | − | 10.4268i | 1.05627 | − | 0.343203i | ||||
\(924\) | 8.19468 | + | 5.42939i | 0.269585 | + | 0.178614i | ||||
\(925\) | 22.2445 | − | 23.0348i | 0.731395 | − | 0.757378i | ||||
\(926\) | −42.6063 | + | 9.64644i | −1.40013 | + | 0.317002i | ||||
\(927\) | −41.7055 | − | 7.41509i | −1.36979 | − | 0.243544i | ||||
\(928\) | −16.7129 | + | 2.88258i | −0.548629 | + | 0.0946254i | ||||
\(929\) | −29.9571 | − | 41.2324i | −0.982860 | − | 1.35279i | −0.935275 | − | 0.353923i | \(-0.884847\pi\) |
−0.0475850 | − | 0.998867i | \(-0.515153\pi\) | |||||||
\(930\) | 2.56144 | + | 39.4356i | 0.0839929 | + | 1.29314i | ||||
\(931\) | −0.751634 | + | 1.03453i | −0.0246338 | + | 0.0339055i | ||||
\(932\) | −4.39502 | + | 2.09767i | −0.143964 | + | 0.0687115i | ||||
\(933\) | −1.06956 | + | 12.1256i | −0.0350158 | + | 0.396975i | ||||
\(934\) | 24.2885 | + | 2.22873i | 0.794744 | + | 0.0729263i | ||||
\(935\) | 8.24464 | − | 2.05561i | 0.269628 | − | 0.0672256i | ||||
\(936\) | 12.0283 | + | 22.4421i | 0.393156 | + | 0.733543i | ||||
\(937\) | −11.8742 | − | 3.85816i | −0.387913 | − | 0.126041i | 0.108566 | − | 0.994089i | \(-0.465374\pi\) |
−0.496479 | + | 0.868049i | \(0.665374\pi\) | |||||||
\(938\) | −0.530127 | + | 5.77726i | −0.0173092 | + | 0.188634i | ||||
\(939\) | −11.6351 | − | 10.1288i | −0.379696 | − | 0.330540i | ||||
\(940\) | 30.8852 | + | 37.4477i | 1.00736 | + | 1.22141i | ||||
\(941\) | −48.2070 | − | 15.6634i | −1.57150 | − | 0.510612i | −0.611653 | − | 0.791126i | \(-0.709495\pi\) |
−0.959850 | + | 0.280514i | \(0.909495\pi\) | |||||||
\(942\) | 11.3887 | − | 1.54313i | 0.371065 | − | 0.0502779i | ||||
\(943\) | −6.68404 | −0.217662 | ||||||||
\(944\) | 44.5001 | − | 11.9477i | 1.44836 | − | 0.388863i | ||||
\(945\) | 18.0285 | − | 23.8185i | 0.586468 | − | 0.774816i | ||||
\(946\) | 9.99093 | − | 11.3953i | 0.324833 | − | 0.370495i | ||||
\(947\) | −12.0911 | − | 16.6420i | −0.392909 | − | 0.540793i | 0.566038 | − | 0.824379i | \(-0.308476\pi\) |
−0.958947 | + | 0.283587i | \(0.908476\pi\) | |||||||
\(948\) | −5.19929 | − | 1.44448i | −0.168865 | − | 0.0469145i | ||||
\(949\) | −31.1421 | −1.01092 | ||||||||
\(950\) | 12.0250 | − | 19.8221i | 0.390143 | − | 0.643114i | ||||
\(951\) | −2.74474 | − | 4.57540i | −0.0890043 | − | 0.148367i | ||||
\(952\) | −20.8217 | − | 13.9013i | −0.674835 | − | 0.450543i | ||||
\(953\) | 3.59444 | − | 2.61151i | 0.116435 | − | 0.0845953i | −0.528044 | − | 0.849217i | \(-0.677074\pi\) |
0.644479 | + | 0.764622i | \(0.277074\pi\) | |||||||
\(954\) | 19.5162 | + | 51.7148i | 0.631859 | + | 1.67433i | ||||
\(955\) | −32.4367 | + | 8.08734i | −1.04963 | + | 0.261700i | ||||
\(956\) | −21.5571 | − | 3.98979i | −0.697206 | − | 0.129039i | ||||
\(957\) | 4.91499 | − | 2.94846i | 0.158879 | − | 0.0953102i | ||||
\(958\) | −39.0074 | − | 16.7531i | −1.26027 | − | 0.541269i | ||||
\(959\) | 5.54668 | − | 17.0709i | 0.179112 | − | 0.551249i | ||||
\(960\) | −7.23417 | − | 30.1275i | −0.233482 | − | 0.972361i | ||||
\(961\) | −6.50713 | − | 20.0269i | −0.209907 | − | 0.646028i | ||||
\(962\) | −2.48349 | + | 27.0649i | −0.0800710 | + | 0.872606i | ||||
\(963\) | 37.7273 | − | 36.3291i | 1.21575 | − | 1.17069i | ||||
\(964\) | −1.23222 | − | 1.29784i | −0.0396871 | − | 0.0418005i | ||||
\(965\) | 30.6421 | − | 19.1472i | 0.986403 | − | 0.616372i | ||||
\(966\) | −11.8065 | − | 24.5141i | −0.379866 | − | 0.788728i | ||||
\(967\) | 36.6797 | + | 26.6494i | 1.17954 | + | 0.856987i | 0.992120 | − | 0.125293i | \(-0.0399871\pi\) |
0.187421 | + | 0.982280i | \(0.439987\pi\) | |||||||
\(968\) | 21.7209 | − | 17.1366i | 0.698137 | − | 0.550792i | ||||
\(969\) | −19.4762 | − | 1.71793i | −0.625665 | − | 0.0551878i | ||||
\(970\) | −30.8038 | + | 4.74507i | −0.989052 | + | 0.152355i | ||||
\(971\) | 21.0112 | − | 15.2655i | 0.674280 | − | 0.489893i | −0.197175 | − | 0.980368i | \(-0.563177\pi\) |
0.871455 | + | 0.490475i | \(0.163177\pi\) | |||||||
\(972\) | −18.4616 | − | 25.1231i | −0.592157 | − | 0.805822i | ||||
\(973\) | −2.13134 | + | 0.692516i | −0.0683278 | + | 0.0222010i | ||||
\(974\) | −21.3272 | + | 4.82867i | −0.683368 | + | 0.154720i | ||||
\(975\) | −23.9287 | + | 10.1370i | −0.766332 | + | 0.324642i | ||||
\(976\) | 4.89030 | − | 6.04521i | 0.156535 | − | 0.193502i | ||||
\(977\) | 6.22344 | + | 19.1538i | 0.199105 | + | 0.612783i | 0.999904 | + | 0.0138497i | \(0.00440864\pi\) |
−0.800799 | + | 0.598934i | \(0.795591\pi\) | |||||||
\(978\) | −42.9381 | − | 7.79051i | −1.37301 | − | 0.249113i | ||||
\(979\) | 6.65581 | + | 9.16094i | 0.212721 | + | 0.292785i | ||||
\(980\) | −1.74090 | + | 0.106913i | −0.0556110 | + | 0.00341523i | ||||
\(981\) | 48.8420 | − | 23.7358i | 1.55941 | − | 0.757825i | ||||
\(982\) | −5.81734 | + | 1.31709i | −0.185639 | + | 0.0420302i | ||||
\(983\) | −5.86807 | + | 8.07671i | −0.187162 | + | 0.257607i | −0.892279 | − | 0.451484i | \(-0.850895\pi\) |
0.705117 | + | 0.709091i | \(0.250895\pi\) | |||||||
\(984\) | −5.90908 | − | 4.74581i | −0.188375 | − | 0.151291i | ||||
\(985\) | 52.7556 | + | 21.3147i | 1.68093 | + | 0.679143i | ||||
\(986\) | −12.5441 | + | 7.46509i | −0.399486 | + | 0.237737i | ||||
\(987\) | 10.8393 | + | 47.1031i | 0.345018 | + | 1.49931i | ||||
\(988\) | 2.57333 | + | 19.5086i | 0.0818685 | + | 0.620652i | ||||
\(989\) | −39.8948 | + | 12.9626i | −1.26858 | + | 0.412187i | ||||
\(990\) | 5.95724 | + | 8.61123i | 0.189334 | + | 0.273683i | ||||
\(991\) | −32.2187 | − | 10.4685i | −1.02346 | − | 0.332543i | −0.251259 | − | 0.967920i | \(-0.580845\pi\) |
−0.772202 | + | 0.635377i | \(0.780845\pi\) | |||||||
\(992\) | 19.0265 | + | 36.1086i | 0.604093 | + | 1.14645i | ||||
\(993\) | 6.86437 | − | 4.11787i | 0.217834 | − | 0.130677i | ||||
\(994\) | −37.5659 | − | 16.1340i | −1.19152 | − | 0.511740i | ||||
\(995\) | −14.9545 | + | 9.34460i | −0.474091 | + | 0.296244i | ||||
\(996\) | −0.995137 | − | 23.0366i | −0.0315321 | − | 0.729943i | ||||
\(997\) | −14.1718 | − | 19.5058i | −0.448826 | − | 0.617756i | 0.523319 | − | 0.852137i | \(-0.324694\pi\) |
−0.972145 | + | 0.234381i | \(0.924694\pi\) | |||||||
\(998\) | 14.4219 | − | 8.58259i | 0.456518 | − | 0.271677i | ||||
\(999\) | −1.67063 | − | 33.2364i | −0.0528563 | − | 1.05155i |
(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 | 300.2.r.a.119.18 | ✓ | 224 | |
3.2 | odd | 2 | inner | 300.2.r.a.119.39 | yes | 224 | |
4.3 | odd | 2 | inner | 300.2.r.a.119.27 | yes | 224 | |
12.11 | even | 2 | inner | 300.2.r.a.119.30 | yes | 224 | |
25.4 | even | 10 | inner | 300.2.r.a.179.30 | yes | 224 | |
75.29 | odd | 10 | inner | 300.2.r.a.179.27 | yes | 224 | |
100.79 | odd | 10 | inner | 300.2.r.a.179.39 | yes | 224 | |
300.179 | even | 10 | inner | 300.2.r.a.179.18 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.r.a.119.18 | ✓ | 224 | 1.1 | even | 1 | trivial | |
300.2.r.a.119.27 | yes | 224 | 4.3 | odd | 2 | inner | |
300.2.r.a.119.30 | yes | 224 | 12.11 | even | 2 | inner | |
300.2.r.a.119.39 | yes | 224 | 3.2 | odd | 2 | inner | |
300.2.r.a.179.18 | yes | 224 | 300.179 | even | 10 | inner | |
300.2.r.a.179.27 | yes | 224 | 75.29 | odd | 10 | inner | |
300.2.r.a.179.30 | yes | 224 | 25.4 | even | 10 | inner | |
300.2.r.a.179.39 | yes | 224 | 100.79 | odd | 10 | inner |