Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [192,2,Mod(11,192)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(192, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([8, 5, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("192.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 192 = 2^{6} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 192.s (of order \(16\), degree \(8\), 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: | \(1.53312771881\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 179.24 | ||
Character | \(\chi\) | \(=\) | 192.179 |
Dual form | 192.2.s.a.59.24 |
$q$-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 \(\left(\mathbb{Z}/192\mathbb{Z}\right)^\times\).
\(n\) | \(65\) | \(127\) | \(133\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{15}{16}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.05577 | + | 0.940934i | 0.746540 | + | 0.665341i | ||||
\(3\) | −1.24680 | + | 1.20229i | −0.719839 | + | 0.694141i | ||||
\(4\) | 0.229286 | + | 1.98681i | 0.114643 | + | 0.993407i | ||||
\(5\) | 0.128682 | + | 0.646927i | 0.0575482 | + | 0.289315i | 0.998833 | − | 0.0482994i | \(-0.0153802\pi\) |
−0.941285 | + | 0.337614i | \(0.890380\pi\) | |||||||
\(6\) | −2.44760 | + | 0.0961797i | −0.999229 | + | 0.0392652i | ||||
\(7\) | 0.120549 | − | 0.0499330i | 0.0455632 | − | 0.0188729i | −0.359785 | − | 0.933035i | \(-0.617150\pi\) |
0.405349 | + | 0.914162i | \(0.367150\pi\) | |||||||
\(8\) | −1.62739 | + | 2.31335i | −0.575369 | + | 0.817894i | ||||
\(9\) | 0.109011 | − | 2.99802i | 0.0363370 | − | 0.999340i | ||||
\(10\) | −0.472858 | + | 0.804085i | −0.149531 | + | 0.254274i | ||||
\(11\) | −1.51860 | + | 2.27274i | −0.457875 | + | 0.685258i | −0.986530 | − | 0.163578i | \(-0.947696\pi\) |
0.528656 | + | 0.848836i | \(0.322696\pi\) | |||||||
\(12\) | −2.67459 | − | 2.20149i | −0.772089 | − | 0.635515i | ||||
\(13\) | 1.27159 | + | 0.252935i | 0.352675 | + | 0.0701514i | 0.368249 | − | 0.929727i | \(-0.379957\pi\) |
−0.0155737 | + | 0.999879i | \(0.504957\pi\) | |||||||
\(14\) | 0.174255 | + | 0.0607110i | 0.0465717 | + | 0.0162257i | ||||
\(15\) | −0.938232 | − | 0.651875i | −0.242251 | − | 0.168313i | ||||
\(16\) | −3.89486 | + | 0.911097i | −0.973714 | + | 0.227774i | ||||
\(17\) | 1.71615 | − | 1.71615i | 0.416228 | − | 0.416228i | −0.467673 | − | 0.883901i | \(-0.654908\pi\) |
0.883901 | + | 0.467673i | \(0.154908\pi\) | |||||||
\(18\) | 2.93603 | − | 3.06264i | 0.692029 | − | 0.721870i | ||||
\(19\) | 1.38425 | + | 0.275345i | 0.317569 | + | 0.0631685i | 0.351301 | − | 0.936262i | \(-0.385739\pi\) |
−0.0337320 | + | 0.999431i | \(0.510739\pi\) | |||||||
\(20\) | −1.25582 | + | 0.403998i | −0.280810 | + | 0.0903367i | ||||
\(21\) | −0.0902664 | + | 0.207191i | −0.0196977 | + | 0.0452127i | ||||
\(22\) | −3.74179 | + | 0.970585i | −0.797752 | + | 0.206929i | ||||
\(23\) | 3.71748 | + | 1.53983i | 0.775148 | + | 0.321077i | 0.734956 | − | 0.678115i | \(-0.237203\pi\) |
0.0401925 | + | 0.999192i | \(0.487203\pi\) | |||||||
\(24\) | −0.752291 | − | 4.84087i | −0.153561 | − | 0.988139i | ||||
\(25\) | 4.21744 | − | 1.74692i | 0.843488 | − | 0.349384i | ||||
\(26\) | 1.10451 | + | 1.46352i | 0.216611 | + | 0.287020i | ||||
\(27\) | 3.46856 | + | 3.86899i | 0.667526 | + | 0.744587i | ||||
\(28\) | 0.126848 | + | 0.228059i | 0.0239720 | + | 0.0430992i | ||||
\(29\) | 5.35197 | − | 3.57607i | 0.993835 | − | 0.664059i | 0.0514801 | − | 0.998674i | \(-0.483606\pi\) |
0.942355 | + | 0.334615i | \(0.108606\pi\) | |||||||
\(30\) | −0.377183 | − | 1.57104i | −0.0688638 | − | 0.286832i | ||||
\(31\) | −3.91687 | −0.703490 | −0.351745 | − | 0.936096i | \(-0.614412\pi\) | ||||
−0.351745 | + | 0.936096i | \(0.614412\pi\) | |||||||
\(32\) | −4.96934 | − | 2.70290i | −0.878464 | − | 0.477809i | ||||
\(33\) | −0.839104 | − | 4.65944i | −0.146069 | − | 0.811105i | ||||
\(34\) | 3.42664 | − | 0.197070i | 0.587664 | − | 0.0337972i | ||||
\(35\) | 0.0478155 | + | 0.0715609i | 0.00808229 | + | 0.0120960i | ||||
\(36\) | 5.98150 | − | 0.470819i | 0.996916 | − | 0.0784698i | ||||
\(37\) | 1.85070 | + | 9.30412i | 0.304254 | + | 1.52959i | 0.766154 | + | 0.642656i | \(0.222168\pi\) |
−0.461900 | + | 0.886932i | \(0.652832\pi\) | |||||||
\(38\) | 1.20237 | + | 1.59319i | 0.195050 | + | 0.258450i | ||||
\(39\) | −1.88951 | + | 1.21346i | −0.302564 | + | 0.194308i | ||||
\(40\) | −1.70599 | − | 0.755115i | −0.269740 | − | 0.119394i | ||||
\(41\) | 4.19808 | − | 10.1351i | 0.655629 | − | 1.58283i | −0.148857 | − | 0.988859i | \(-0.547559\pi\) |
0.804487 | − | 0.593971i | \(-0.202441\pi\) | |||||||
\(42\) | −0.290253 | + | 0.133810i | −0.0447870 | + | 0.0206474i | ||||
\(43\) | 4.03057 | − | 6.03217i | 0.614656 | − | 0.919897i | −0.385340 | − | 0.922775i | \(-0.625916\pi\) |
0.999996 | + | 0.00287729i | \(0.000915872\pi\) | |||||||
\(44\) | −4.86371 | − | 2.49606i | −0.733232 | − | 0.376296i | ||||
\(45\) | 1.95353 | − | 0.315268i | 0.291215 | − | 0.0469974i | ||||
\(46\) | 2.47591 | + | 5.12361i | 0.365053 | + | 0.755435i | ||||
\(47\) | −3.94696 | − | 3.94696i | −0.575724 | − | 0.575724i | 0.357999 | − | 0.933722i | \(-0.383459\pi\) |
−0.933722 | + | 0.357999i | \(0.883459\pi\) | |||||||
\(48\) | 3.76070 | − | 5.81869i | 0.542810 | − | 0.839855i | ||||
\(49\) | −4.93771 | + | 4.93771i | −0.705387 | + | 0.705387i | ||||
\(50\) | 6.09637 | + | 2.12399i | 0.862157 | + | 0.300378i | ||||
\(51\) | −0.0763875 | + | 4.20300i | −0.0106964 | + | 0.588538i | ||||
\(52\) | −0.210977 | + | 2.58440i | −0.0292572 | + | 0.358392i | ||||
\(53\) | −7.62801 | − | 5.09687i | −1.04779 | − | 0.700109i | −0.0924776 | − | 0.995715i | \(-0.529479\pi\) |
−0.955310 | + | 0.295605i | \(0.904479\pi\) | |||||||
\(54\) | 0.0215329 | + | 7.34844i | 0.00293026 | + | 0.999996i | ||||
\(55\) | −1.66572 | − | 0.689962i | −0.224605 | − | 0.0930344i | ||||
\(56\) | −0.0806672 | + | 0.360133i | −0.0107796 | + | 0.0481248i | ||||
\(57\) | −2.05693 | + | 1.32097i | −0.272447 | + | 0.174967i | ||||
\(58\) | 9.01527 | + | 1.26035i | 1.18376 | + | 0.165492i | ||||
\(59\) | −2.03231 | + | 0.404252i | −0.264584 | + | 0.0526291i | −0.325600 | − | 0.945508i | \(-0.605566\pi\) |
0.0610153 | + | 0.998137i | \(0.480566\pi\) | |||||||
\(60\) | 1.08003 | − | 2.01356i | 0.139431 | − | 0.259949i | ||||
\(61\) | −7.97360 | + | 5.32779i | −1.02092 | + | 0.682154i | −0.949006 | − | 0.315257i | \(-0.897909\pi\) |
−0.0719091 | + | 0.997411i | \(0.522909\pi\) | |||||||
\(62\) | −4.13530 | − | 3.68552i | −0.525183 | − | 0.468061i | ||||
\(63\) | −0.136559 | − | 0.366851i | −0.0172048 | − | 0.0462189i | ||||
\(64\) | −2.70321 | − | 7.52945i | −0.337902 | − | 0.941181i | ||||
\(65\) | 0.855173i | 0.106071i | ||||||||
\(66\) | 3.49833 | − | 5.70883i | 0.430615 | − | 0.702708i | ||||
\(67\) | 3.96652 | + | 5.93631i | 0.484587 | + | 0.725236i | 0.990525 | − | 0.137334i | \(-0.0438534\pi\) |
−0.505938 | + | 0.862570i | \(0.668853\pi\) | |||||||
\(68\) | 3.80316 | + | 3.01618i | 0.461201 | + | 0.365766i | ||||
\(69\) | −6.48627 | + | 2.54962i | −0.780855 | + | 0.306938i | ||||
\(70\) | −0.0168521 | + | 0.120543i | −0.00201421 | + | 0.0144076i | ||||
\(71\) | 3.68758 | + | 8.90261i | 0.437635 | + | 1.05655i | 0.976763 | + | 0.214321i | \(0.0687540\pi\) |
−0.539128 | + | 0.842224i | \(0.681246\pi\) | |||||||
\(72\) | 6.75808 | + | 5.13112i | 0.796447 | + | 0.604709i | ||||
\(73\) | 2.46777 | − | 5.95773i | 0.288831 | − | 0.697299i | −0.711153 | − | 0.703038i | \(-0.751827\pi\) |
0.999984 | + | 0.00573816i | \(0.00182652\pi\) | |||||||
\(74\) | −6.80065 | + | 11.5644i | −0.790560 | + | 1.34433i | ||||
\(75\) | −3.15800 | + | 7.24864i | −0.364654 | + | 0.837000i | ||||
\(76\) | −0.229670 | + | 2.81339i | −0.0263449 | + | 0.322717i | ||||
\(77\) | −0.0695805 | + | 0.349805i | −0.00792944 | + | 0.0398640i | ||||
\(78\) | −3.13667 | − | 0.496782i | −0.355158 | − | 0.0562495i | ||||
\(79\) | −10.3595 | − | 10.3595i | −1.16553 | − | 1.16553i | −0.983245 | − | 0.182288i | \(-0.941650\pi\) |
−0.182288 | − | 0.983245i | \(-0.558350\pi\) | |||||||
\(80\) | −1.09061 | − | 2.40245i | −0.121934 | − | 0.268602i | ||||
\(81\) | −8.97623 | − | 0.653634i | −0.997359 | − | 0.0726260i | ||||
\(82\) | 13.9686 | − | 6.75014i | 1.54257 | − | 0.745428i | ||||
\(83\) | 2.59720 | − | 13.0570i | 0.285079 | − | 1.43319i | −0.527110 | − | 0.849797i | \(-0.676725\pi\) |
0.812190 | − | 0.583394i | \(-0.198275\pi\) | |||||||
\(84\) | −0.432346 | − | 0.131837i | −0.0471729 | − | 0.0143845i | ||||
\(85\) | 1.33106 | + | 0.889387i | 0.144374 | + | 0.0964676i | ||||
\(86\) | 9.93121 | − | 2.57606i | 1.07091 | − | 0.277784i | ||||
\(87\) | −2.37336 | + | 10.8932i | −0.254451 | + | 1.16788i | ||||
\(88\) | −2.78631 | − | 7.21169i | −0.297022 | − | 0.768769i | ||||
\(89\) | 0.461388 | + | 1.11389i | 0.0489070 | + | 0.118072i | 0.946445 | − | 0.322865i | \(-0.104646\pi\) |
−0.897538 | + | 0.440937i | \(0.854646\pi\) | |||||||
\(90\) | 2.35911 | + | 1.50529i | 0.248673 | + | 0.158672i | ||||
\(91\) | 0.165918 | − | 0.0330032i | 0.0173930 | − | 0.00345968i | ||||
\(92\) | −2.20699 | + | 7.73900i | −0.230095 | + | 0.806847i | ||||
\(93\) | 4.88354 | − | 4.70920i | 0.506400 | − | 0.488321i | ||||
\(94\) | −0.453239 | − | 7.88090i | −0.0467480 | − | 0.812853i | ||||
\(95\) | 0.930943i | 0.0955127i | ||||||||
\(96\) | 9.44542 | − | 2.60461i | 0.964019 | − | 0.265832i | ||||
\(97\) | − | 4.33905i | − | 0.440563i | −0.975436 | − | 0.220282i | \(-0.929302\pi\) | ||
0.975436 | − | 0.220282i | \(-0.0706976\pi\) | |||||||
\(98\) | −9.85913 | + | 0.567009i | −0.995922 | + | 0.0572765i | ||||
\(99\) | 6.64818 | + | 4.80054i | 0.668168 | + | 0.482473i | ||||
\(100\) | 4.43781 | + | 7.97873i | 0.443781 | + | 0.797873i | ||||
\(101\) | −14.2891 | + | 2.84228i | −1.42182 | + | 0.282817i | −0.845311 | − | 0.534275i | \(-0.820585\pi\) |
−0.576507 | + | 0.817092i | \(0.695585\pi\) | |||||||
\(102\) | −4.03540 | + | 4.36551i | −0.399564 | + | 0.432250i | ||||
\(103\) | −5.09354 | − | 12.2969i | −0.501882 | − | 1.21165i | −0.948458 | − | 0.316904i | \(-0.897357\pi\) |
0.446576 | − | 0.894746i | \(-0.352643\pi\) | |||||||
\(104\) | −2.65450 | + | 2.53001i | −0.260295 | + | 0.248088i | ||||
\(105\) | −0.145653 | − | 0.0317341i | −0.0142143 | − | 0.00309693i | ||||
\(106\) | −3.25758 | − | 12.5586i | −0.316404 | − | 1.21980i | ||||
\(107\) | −2.45827 | − | 1.64256i | −0.237650 | − | 0.158792i | 0.431043 | − | 0.902331i | \(-0.358146\pi\) |
−0.668693 | + | 0.743539i | \(0.733146\pi\) | |||||||
\(108\) | −6.89166 | + | 7.77850i | −0.663150 | + | 0.748486i | ||||
\(109\) | −1.12559 | + | 5.65875i | −0.107812 | + | 0.542010i | 0.888695 | + | 0.458500i | \(0.151613\pi\) |
−0.996507 | + | 0.0835098i | \(0.973387\pi\) | |||||||
\(110\) | −1.10940 | − | 2.29577i | −0.105777 | − | 0.218893i | ||||
\(111\) | −13.4937 | − | 9.37528i | −1.28076 | − | 0.889862i | ||||
\(112\) | −0.424027 | + | 0.304314i | −0.0400668 | + | 0.0287549i | ||||
\(113\) | 12.8274 | + | 12.8274i | 1.20670 | + | 1.20670i | 0.972089 | + | 0.234611i | \(0.0753815\pi\) |
0.234611 | + | 0.972089i | \(0.424619\pi\) | |||||||
\(114\) | −3.41458 | − | 0.540798i | −0.319805 | − | 0.0506504i | ||||
\(115\) | −0.517786 | + | 2.60309i | −0.0482838 | + | 0.242739i | ||||
\(116\) | 8.33211 | + | 9.81342i | 0.773617 | + | 0.911153i | ||||
\(117\) | 0.896920 | − | 3.78467i | 0.0829203 | − | 0.349893i | ||||
\(118\) | −2.52602 | − | 1.48547i | −0.232539 | − | 0.136749i | ||||
\(119\) | 0.121188 | − | 0.292573i | 0.0111093 | − | 0.0268201i | ||||
\(120\) | 3.03489 | − | 1.10961i | 0.277046 | − | 0.101293i | ||||
\(121\) | 1.35030 | + | 3.25990i | 0.122754 | + | 0.296355i | ||||
\(122\) | −13.4314 | − | 1.87773i | −1.21602 | − | 0.170002i | ||||
\(123\) | 6.95109 | + | 17.6837i | 0.626759 | + | 1.59448i | ||||
\(124\) | −0.898083 | − | 7.78209i | −0.0806502 | − | 0.698852i | ||||
\(125\) | 3.50511 | + | 5.24577i | 0.313507 | + | 0.469196i | ||||
\(126\) | 0.201009 | − | 0.515802i | 0.0179073 | − | 0.0459513i | ||||
\(127\) | 7.46755i | 0.662638i | 0.943519 | + | 0.331319i | \(0.107494\pi\) | ||||
−0.943519 | + | 0.331319i | \(0.892506\pi\) | |||||||
\(128\) | 4.23075 | − | 10.4929i | 0.373949 | − | 0.927449i | ||||
\(129\) | 2.22710 | + | 12.3668i | 0.196085 | + | 1.08884i | ||||
\(130\) | −0.804661 | + | 0.902863i | −0.0705735 | + | 0.0791863i | ||||
\(131\) | 10.0212 | − | 6.69593i | 0.875553 | − | 0.585026i | −0.0345520 | − | 0.999403i | \(-0.511000\pi\) |
0.910105 | + | 0.414377i | \(0.136000\pi\) | |||||||
\(132\) | 9.06505 | − | 2.73549i | 0.789011 | − | 0.238094i | ||||
\(133\) | 0.180619 | − | 0.0359274i | 0.0156617 | − | 0.00311530i | ||||
\(134\) | −1.39796 | + | 9.99959i | −0.120766 | + | 0.863833i | ||||
\(135\) | −2.05661 | + | 2.74178i | −0.177005 | + | 0.235975i | ||||
\(136\) | 1.17722 | + | 6.76291i | 0.100946 | + | 0.579915i | ||||
\(137\) | 3.08098 | + | 1.27618i | 0.263226 | + | 0.109032i | 0.510393 | − | 0.859941i | \(-0.329500\pi\) |
−0.247167 | + | 0.968973i | \(0.579500\pi\) | |||||||
\(138\) | −9.24701 | − | 3.41135i | −0.787158 | − | 0.290393i | ||||
\(139\) | −13.1348 | − | 8.77641i | −1.11408 | − | 0.744405i | −0.144580 | − | 0.989493i | \(-0.546183\pi\) |
−0.969501 | + | 0.245088i | \(0.921183\pi\) | |||||||
\(140\) | −0.131215 | + | 0.111408i | −0.0110897 | + | 0.00941572i | ||||
\(141\) | 9.66645 | + | 0.175683i | 0.814062 | + | 0.0147952i | ||||
\(142\) | −4.48354 | + | 12.8688i | −0.376251 | + | 1.07993i | ||||
\(143\) | −2.50589 | + | 2.50589i | −0.209553 | + | 0.209553i | ||||
\(144\) | 2.30690 | + | 11.7762i | 0.192242 | + | 0.981348i | ||||
\(145\) | 3.00216 | + | 3.00216i | 0.249316 | + | 0.249316i | ||||
\(146\) | 8.21122 | − | 3.96796i | 0.679566 | − | 0.328391i | ||||
\(147\) | 0.219782 | − | 12.0929i | 0.0181273 | − | 0.997403i | ||||
\(148\) | −18.0612 | + | 5.81031i | −1.48462 | + | 0.477604i | ||||
\(149\) | −3.46343 | + | 5.18338i | −0.283735 | + | 0.424639i | −0.945772 | − | 0.324832i | \(-0.894692\pi\) |
0.662037 | + | 0.749471i | \(0.269692\pi\) | |||||||
\(150\) | −10.1546 | + | 4.68140i | −0.829119 | + | 0.382235i | ||||
\(151\) | −3.01311 | + | 7.27429i | −0.245204 | + | 0.591974i | −0.997785 | − | 0.0665258i | \(-0.978809\pi\) |
0.752581 | + | 0.658499i | \(0.228809\pi\) | |||||||
\(152\) | −2.88969 | + | 2.75417i | −0.234385 | + | 0.223393i | ||||
\(153\) | −4.95798 | − | 5.33213i | −0.400829 | − | 0.431078i | ||||
\(154\) | −0.402604 | + | 0.303842i | −0.0324428 | + | 0.0244843i | ||||
\(155\) | −0.504030 | − | 2.53393i | −0.0404846 | − | 0.203530i | ||||
\(156\) | −2.84415 | − | 3.47588i | −0.227714 | − | 0.278293i | ||||
\(157\) | −0.365699 | − | 0.547307i | −0.0291860 | − | 0.0436799i | 0.816590 | − | 0.577218i | \(-0.195862\pi\) |
−0.845776 | + | 0.533539i | \(0.820862\pi\) | |||||||
\(158\) | −1.18960 | − | 20.6848i | −0.0946399 | − | 1.64559i | ||||
\(159\) | 15.6385 | − | 2.81629i | 1.24021 | − | 0.223346i | ||||
\(160\) | 1.10911 | − | 3.56261i | 0.0876831 | − | 0.281649i | ||||
\(161\) | 0.525027 | 0.0413779 | ||||||||
\(162\) | −8.86178 | − | 9.13613i | −0.696247 | − | 0.717802i | ||||
\(163\) | 18.9538 | − | 12.6645i | 1.48458 | − | 0.991962i | 0.491966 | − | 0.870614i | \(-0.336278\pi\) |
0.992610 | − | 0.121347i | \(-0.0387215\pi\) | |||||||
\(164\) | 21.0990 | + | 6.01697i | 1.64756 | + | 0.469846i | ||||
\(165\) | 2.90634 | − | 1.14242i | 0.226258 | − | 0.0889377i | ||||
\(166\) | 15.0278 | − | 11.3413i | 1.16638 | − | 0.880259i | ||||
\(167\) | 9.66775 | − | 4.00451i | 0.748113 | − | 0.309879i | 0.0241416 | − | 0.999709i | \(-0.492315\pi\) |
0.723971 | + | 0.689830i | \(0.242315\pi\) | |||||||
\(168\) | −0.332407 | − | 0.545998i | −0.0256458 | − | 0.0421247i | ||||
\(169\) | −10.4575 | − | 4.33163i | −0.804421 | − | 0.333202i | ||||
\(170\) | 0.568436 | + | 2.19143i | 0.0435971 | + | 0.168075i | ||||
\(171\) | 0.976388 | − | 4.12000i | 0.0746663 | − | 0.315064i | ||||
\(172\) | 12.9089 | + | 6.62489i | 0.984298 | + | 0.505143i | ||||
\(173\) | −9.93901 | − | 1.97699i | −0.755649 | − | 0.150308i | −0.197791 | − | 0.980244i | \(-0.563377\pi\) |
−0.557858 | + | 0.829936i | \(0.688377\pi\) | |||||||
\(174\) | −12.7555 | + | 9.26754i | −0.966994 | + | 0.702570i | ||||
\(175\) | 0.421179 | − | 0.421179i | 0.0318382 | − | 0.0318382i | ||||
\(176\) | 3.84403 | − | 10.2356i | 0.289755 | − | 0.771537i | ||||
\(177\) | 2.04785 | − | 2.94744i | 0.153926 | − | 0.221543i | ||||
\(178\) | −0.560978 | + | 1.61014i | −0.0420471 | + | 0.120685i | ||||
\(179\) | −3.13037 | − | 0.622669i | −0.233975 | − | 0.0465405i | 0.0767101 | − | 0.997053i | \(-0.475558\pi\) |
−0.310685 | + | 0.950513i | \(0.600558\pi\) | |||||||
\(180\) | 1.07430 | + | 3.80901i | 0.0800732 | + | 0.283907i | ||||
\(181\) | 10.4594 | − | 15.6535i | 0.777438 | − | 1.16352i | −0.205333 | − | 0.978692i | \(-0.565828\pi\) |
0.982771 | − | 0.184826i | \(-0.0591722\pi\) | |||||||
\(182\) | 0.206225 | + | 0.121275i | 0.0152864 | + | 0.00898947i | ||||
\(183\) | 3.53594 | − | 16.2292i | 0.261384 | − | 1.19970i | ||||
\(184\) | −9.61196 | + | 6.09395i | −0.708603 | + | 0.449252i | ||||
\(185\) | −5.78094 | + | 2.39454i | −0.425023 | + | 0.176050i | ||||
\(186\) | 9.58693 | − | 0.376723i | 0.702948 | − | 0.0276227i | ||||
\(187\) | 1.29423 | + | 6.50652i | 0.0946432 | + | 0.475804i | ||||
\(188\) | 6.93690 | − | 8.74686i | 0.505925 | − | 0.637930i | ||||
\(189\) | 0.611322 | + | 0.293206i | 0.0444671 | + | 0.0213276i | ||||
\(190\) | −0.875956 | + | 0.982858i | −0.0635485 | + | 0.0713040i | ||||
\(191\) | −9.07901 | −0.656934 | −0.328467 | − | 0.944515i | \(-0.606532\pi\) | ||||
−0.328467 | + | 0.944515i | \(0.606532\pi\) | |||||||
\(192\) | 12.4229 | + | 6.13766i | 0.896547 | + | 0.442948i | ||||
\(193\) | 17.6278 | 1.26888 | 0.634440 | − | 0.772972i | \(-0.281231\pi\) | ||||
0.634440 | + | 0.772972i | \(0.281231\pi\) | |||||||
\(194\) | 4.08276 | − | 4.58102i | 0.293125 | − | 0.328898i | ||||
\(195\) | −1.02816 | − | 1.06623i | −0.0736283 | − | 0.0763542i | ||||
\(196\) | −10.9425 | − | 8.67816i | −0.781604 | − | 0.619869i | ||||
\(197\) | 3.19278 | + | 16.0512i | 0.227476 | + | 1.14360i | 0.910598 | + | 0.413294i | \(0.135622\pi\) |
−0.683122 | + | 0.730305i | \(0.739378\pi\) | |||||||
\(198\) | 2.50194 | + | 11.3238i | 0.177805 | + | 0.804744i | ||||
\(199\) | 20.6774 | − | 8.56486i | 1.46578 | − | 0.607147i | 0.499889 | − | 0.866089i | \(-0.333374\pi\) |
0.965893 | + | 0.258943i | \(0.0833741\pi\) | |||||||
\(200\) | −2.82217 | + | 12.5994i | −0.199557 | + | 0.890909i | ||||
\(201\) | −12.0826 | − | 2.63249i | −0.852241 | − | 0.185682i | ||||
\(202\) | −17.7603 | − | 10.4443i | −1.24961 | − | 0.734859i | ||||
\(203\) | 0.466610 | − | 0.698331i | 0.0327496 | − | 0.0490132i | ||||
\(204\) | −8.36810 | + | 0.811921i | −0.585884 | + | 0.0568459i | ||||
\(205\) | 7.09686 | + | 1.41165i | 0.495666 | + | 0.0985941i | ||||
\(206\) | 6.19298 | − | 17.7753i | 0.431485 | − | 1.23847i | ||||
\(207\) | 5.02169 | − | 10.9772i | 0.349032 | − | 0.762969i | ||||
\(208\) | −5.18310 | + | 0.173396i | −0.359383 | + | 0.0120228i | ||||
\(209\) | −2.72791 | + | 2.72791i | −0.188694 | + | 0.188694i | ||||
\(210\) | −0.123916 | − | 0.170554i | −0.00855101 | − | 0.0117693i | ||||
\(211\) | −12.6809 | − | 2.52238i | −0.872988 | − | 0.173648i | −0.261789 | − | 0.965125i | \(-0.584312\pi\) |
−0.611199 | + | 0.791477i | \(0.709312\pi\) | |||||||
\(212\) | 8.37754 | − | 16.3241i | 0.575372 | − | 1.12114i | ||||
\(213\) | −15.3012 | − | 6.66622i | −1.04842 | − | 0.456762i | ||||
\(214\) | −1.04981 | − | 4.04723i | −0.0717638 | − | 0.276663i | ||||
\(215\) | 4.42103 | + | 1.83125i | 0.301512 | + | 0.124890i | ||||
\(216\) | −14.5950 | + | 1.72768i | −0.993067 | + | 0.117553i | ||||
\(217\) | −0.472174 | + | 0.195581i | −0.0320533 | + | 0.0132769i | ||||
\(218\) | −6.51287 | + | 4.91520i | −0.441107 | + | 0.332900i | ||||
\(219\) | 4.08609 | + | 10.3951i | 0.276112 | + | 0.702433i | ||||
\(220\) | 0.988900 | − | 3.46766i | 0.0666717 | − | 0.233790i | ||||
\(221\) | 2.61631 | − | 1.74816i | 0.175992 | − | 0.117594i | ||||
\(222\) | −5.42465 | − | 22.5948i | −0.364079 | − | 1.51646i | ||||
\(223\) | 18.7420 | 1.25506 | 0.627529 | − | 0.778593i | \(-0.284066\pi\) | ||||
0.627529 | + | 0.778593i | \(0.284066\pi\) | |||||||
\(224\) | −0.734013 | − | 0.0776973i | −0.0490433 | − | 0.00519137i | ||||
\(225\) | −4.77756 | − | 12.8344i | −0.318504 | − | 0.855627i | ||||
\(226\) | 1.47300 | + | 25.6125i | 0.0979825 | + | 1.70372i | ||||
\(227\) | −7.50992 | − | 11.2394i | −0.498451 | − | 0.745985i | 0.493889 | − | 0.869525i | \(-0.335575\pi\) |
−0.992340 | + | 0.123541i | \(0.960575\pi\) | |||||||
\(228\) | −3.09615 | − | 3.78385i | −0.205047 | − | 0.250592i | ||||
\(229\) | 0.913652 | + | 4.59324i | 0.0603758 | + | 0.303530i | 0.999160 | − | 0.0409757i | \(-0.0130466\pi\) |
−0.938784 | + | 0.344505i | \(0.888047\pi\) | |||||||
\(230\) | −2.99599 | + | 2.26105i | −0.197550 | + | 0.149089i | ||||
\(231\) | −0.333813 | − | 0.519792i | −0.0219633 | − | 0.0341998i | ||||
\(232\) | −0.437012 | + | 18.2006i | −0.0286912 | + | 1.19493i | ||||
\(233\) | 3.90294 | − | 9.42252i | 0.255690 | − | 0.617290i | −0.742954 | − | 0.669342i | \(-0.766576\pi\) |
0.998644 | + | 0.0520519i | \(0.0165761\pi\) | |||||||
\(234\) | 4.50807 | − | 3.15179i | 0.294701 | − | 0.206039i | ||||
\(235\) | 2.04549 | − | 3.06130i | 0.133433 | − | 0.199697i | ||||
\(236\) | −1.26915 | − | 3.94513i | −0.0826148 | − | 0.256806i | ||||
\(237\) | 25.3713 | + | 0.461110i | 1.64804 | + | 0.0299523i | ||||
\(238\) | 0.403238 | − | 0.194859i | 0.0261380 | − | 0.0126308i | ||||
\(239\) | 7.36008 | + | 7.36008i | 0.476084 | + | 0.476084i | 0.903877 | − | 0.427793i | \(-0.140709\pi\) |
−0.427793 | + | 0.903877i | \(0.640709\pi\) | |||||||
\(240\) | 4.24820 | + | 1.68414i | 0.274220 | + | 0.108711i | ||||
\(241\) | −18.8532 | + | 18.8532i | −1.21444 | + | 1.21444i | −0.244889 | + | 0.969551i | \(0.578751\pi\) |
−0.969551 | + | 0.244889i | \(0.921249\pi\) | |||||||
\(242\) | −1.64176 | + | 4.71224i | −0.105536 | + | 0.302914i | ||||
\(243\) | 11.9774 | − | 9.97706i | 0.768351 | − | 0.640029i | ||||
\(244\) | −12.4136 | − | 14.6205i | −0.794697 | − | 0.935980i | ||||
\(245\) | −3.82973 | − | 2.55894i | −0.244672 | − | 0.163485i | ||||
\(246\) | −9.30043 | + | 25.2103i | −0.592974 | + | 1.60735i | ||||
\(247\) | 1.69056 | + | 0.700251i | 0.107567 | + | 0.0445559i | ||||
\(248\) | 6.37427 | − | 9.06110i | 0.404766 | − | 0.575381i | ||||
\(249\) | 12.4601 | + | 19.4020i | 0.789625 | + | 1.22955i | ||||
\(250\) | −1.23535 | + | 8.83639i | −0.0781301 | + | 0.558862i | ||||
\(251\) | −20.1441 | + | 4.00691i | −1.27148 | + | 0.252914i | −0.784298 | − | 0.620385i | \(-0.786977\pi\) |
−0.487186 | + | 0.873298i | \(0.661977\pi\) | |||||||
\(252\) | 0.697554 | − | 0.355431i | 0.0439418 | − | 0.0223900i | ||||
\(253\) | −9.14500 | + | 6.11050i | −0.574941 | + | 0.384164i | ||||
\(254\) | −7.02647 | + | 7.88399i | −0.440880 | + | 0.494686i | ||||
\(255\) | −2.72886 | + | 0.491433i | −0.170888 | + | 0.0307747i | ||||
\(256\) | 14.3398 | − | 7.09718i | 0.896238 | − | 0.443574i | ||||
\(257\) | 6.72076i | 0.419230i | 0.977784 | + | 0.209615i | \(0.0672210\pi\) | ||||
−0.977784 | + | 0.209615i | \(0.932779\pi\) | |||||||
\(258\) | −9.28505 | + | 15.1520i | −0.578062 | + | 0.943322i | ||||
\(259\) | 0.687683 | + | 1.02919i | 0.0427306 | + | 0.0639508i | ||||
\(260\) | −1.69907 | + | 0.196079i | −0.105372 | + | 0.0121603i | ||||
\(261\) | −10.1377 | − | 16.4351i | −0.627508 | − | 1.01731i | ||||
\(262\) | 16.8804 | + | 2.35992i | 1.04288 | + | 0.145796i | ||||
\(263\) | 3.23136 | + | 7.80118i | 0.199254 | + | 0.481041i | 0.991649 | − | 0.128967i | \(-0.0411661\pi\) |
−0.792395 | + | 0.610008i | \(0.791166\pi\) | |||||||
\(264\) | 12.1445 | + | 5.64158i | 0.747442 | + | 0.347215i | ||||
\(265\) | 2.31572 | − | 5.59064i | 0.142253 | − | 0.343430i | ||||
\(266\) | 0.224497 | + | 0.132020i | 0.0137648 | + | 0.00809465i | ||||
\(267\) | −1.91447 | − | 0.834074i | −0.117164 | − | 0.0510445i | ||||
\(268\) | −10.8849 | + | 9.24184i | −0.664900 | + | 0.564535i | ||||
\(269\) | −4.08830 | + | 20.5533i | −0.249268 | + | 1.25315i | 0.629913 | + | 0.776666i | \(0.283091\pi\) |
−0.879181 | + | 0.476489i | \(0.841909\pi\) | |||||||
\(270\) | −4.75113 | + | 0.959540i | −0.289145 | + | 0.0583958i | ||||
\(271\) | 5.66399 | + | 5.66399i | 0.344063 | + | 0.344063i | 0.857892 | − | 0.513829i | \(-0.171774\pi\) |
−0.513829 | + | 0.857892i | \(0.671774\pi\) | |||||||
\(272\) | −5.12058 | + | 8.24774i | −0.310481 | + | 0.500093i | ||||
\(273\) | −0.167187 | + | 0.240630i | −0.0101186 | + | 0.0145636i | ||||
\(274\) | 2.05199 | + | 4.24635i | 0.123965 | + | 0.256532i | ||||
\(275\) | −2.43430 | + | 12.2380i | −0.146794 | + | 0.737981i | ||||
\(276\) | −6.55283 | − | 12.3024i | −0.394434 | − | 0.740518i | ||||
\(277\) | −5.04782 | − | 3.37284i | −0.303294 | − | 0.202655i | 0.394605 | − | 0.918851i | \(-0.370881\pi\) |
−0.697899 | + | 0.716196i | \(0.745881\pi\) | |||||||
\(278\) | −5.60928 | − | 21.6248i | −0.336422 | − | 1.29697i | ||||
\(279\) | −0.426982 | + | 11.7428i | −0.0255627 | + | 0.703026i | ||||
\(280\) | −0.243360 | − | 0.00584327i | −0.0145435 | − | 0.000349202i | ||||
\(281\) | −3.86027 | − | 9.31952i | −0.230284 | − | 0.555956i | 0.765926 | − | 0.642928i | \(-0.222281\pi\) |
−0.996211 | + | 0.0869726i | \(0.972281\pi\) | |||||||
\(282\) | 10.0402 | + | 9.28097i | 0.597886 | + | 0.552674i | ||||
\(283\) | −16.4849 | + | 3.27904i | −0.979924 | + | 0.194919i | −0.658964 | − | 0.752174i | \(-0.729005\pi\) |
−0.320959 | + | 0.947093i | \(0.604005\pi\) | |||||||
\(284\) | −16.8423 | + | 9.36778i | −0.999408 | + | 0.555875i | ||||
\(285\) | −1.11926 | − | 1.16070i | −0.0662993 | − | 0.0687538i | ||||
\(286\) | −5.00351 | + | 0.287757i | −0.295864 | + | 0.0170154i | ||||
\(287\) | − | 1.43139i | − | 0.0844924i | ||||||
\(288\) | −8.64505 | + | 14.6035i | −0.509415 | + | 0.860521i | ||||
\(289\) | 11.1096i | 0.653509i | ||||||||
\(290\) | 0.344745 | + | 5.99441i | 0.0202441 | + | 0.352004i | ||||
\(291\) | 5.21678 | + | 5.40991i | 0.305813 | + | 0.317135i | ||||
\(292\) | 12.4027 | + | 3.53698i | 0.725814 | + | 0.206986i | ||||
\(293\) | −4.20467 | + | 0.836360i | −0.245639 | + | 0.0488607i | −0.316374 | − | 0.948634i | \(-0.602466\pi\) |
0.0707350 | + | 0.997495i | \(0.477466\pi\) | |||||||
\(294\) | 11.6106 | − | 12.5604i | 0.677146 | − | 0.732540i | ||||
\(295\) | −0.523043 | − | 1.26274i | −0.0304527 | − | 0.0735194i | ||||
\(296\) | −24.5355 | − | 10.8601i | −1.42610 | − | 0.631230i | ||||
\(297\) | −14.0606 | + | 2.00772i | −0.815877 | + | 0.116500i | ||||
\(298\) | −8.53379 | + | 2.21359i | −0.494349 | + | 0.128230i | ||||
\(299\) | 4.33763 | + | 2.89831i | 0.250852 | + | 0.167614i | ||||
\(300\) | −15.1258 | − | 4.61234i | −0.873287 | − | 0.266294i | ||||
\(301\) | 0.184676 | − | 0.928430i | 0.0106446 | − | 0.0535138i | ||||
\(302\) | −10.0258 | + | 4.84482i | −0.576918 | + | 0.278788i | ||||
\(303\) | 14.3984 | − | 20.7233i | 0.827165 | − | 1.19052i | ||||
\(304\) | −5.64233 | + | 0.188759i | −0.323610 | + | 0.0108261i | ||||
\(305\) | −4.47275 | − | 4.47275i | −0.256109 | − | 0.256109i | ||||
\(306\) | −0.217277 | − | 10.2946i | −0.0124209 | − | 0.588504i | ||||
\(307\) | −3.82639 | + | 19.2366i | −0.218384 | + | 1.09789i | 0.703581 | + | 0.710615i | \(0.251583\pi\) |
−0.921965 | + | 0.387274i | \(0.873417\pi\) | |||||||
\(308\) | −0.710951 | − | 0.0580382i | −0.0405102 | − | 0.00330703i | ||||
\(309\) | 21.1350 | + | 9.20785i | 1.20233 | + | 0.523816i | ||||
\(310\) | 1.85212 | − | 3.14949i | 0.105193 | − | 0.178879i | ||||
\(311\) | −10.4354 | + | 25.1933i | −0.591737 | + | 1.42858i | 0.290086 | + | 0.957001i | \(0.406316\pi\) |
−0.881823 | + | 0.471580i | \(0.843684\pi\) | |||||||
\(312\) | 0.267820 | − | 6.34588i | 0.0151623 | − | 0.359265i | ||||
\(313\) | 5.06588 | + | 12.2301i | 0.286341 | + | 0.691288i | 0.999957 | − | 0.00924891i | \(-0.00294406\pi\) |
−0.713617 | + | 0.700537i | \(0.752944\pi\) | |||||||
\(314\) | 0.128887 | − | 0.921927i | 0.00727353 | − | 0.0520274i | ||||
\(315\) | 0.219753 | − | 0.135551i | 0.0123817 | − | 0.00763742i | ||||
\(316\) | 18.2071 | − | 22.9577i | 1.02423 | − | 1.29147i | ||||
\(317\) | −4.04908 | − | 6.05988i | −0.227419 | − | 0.340357i | 0.700158 | − | 0.713987i | \(-0.253113\pi\) |
−0.927577 | + | 0.373631i | \(0.878113\pi\) | |||||||
\(318\) | 19.1605 | + | 11.7415i | 1.07447 | + | 0.658428i | ||||
\(319\) | 17.5943i | 0.985089i | ||||||||
\(320\) | 4.52315 | − | 2.71769i | 0.252852 | − | 0.151923i | ||||
\(321\) | 5.03979 | − | 0.907600i | 0.281294 | − | 0.0506573i | ||||
\(322\) | 0.554306 | + | 0.494016i | 0.0308903 | + | 0.0275304i | ||||
\(323\) | 2.84812 | − | 1.90305i | 0.158474 | − | 0.105889i | ||||
\(324\) | −0.759474 | − | 17.9840i | −0.0421930 | − | 0.999109i | ||||
\(325\) | 5.80471 | − | 1.15463i | 0.321987 | − | 0.0640472i | ||||
\(326\) | 31.9273 | + | 4.46350i | 1.76829 | + | 0.247210i | ||||
\(327\) | −5.40005 | − | 8.40860i | −0.298623 | − | 0.464997i | ||||
\(328\) | 16.6141 | + | 26.2053i | 0.917358 | + | 1.44695i | ||||
\(329\) | −0.672886 | − | 0.278718i | −0.0370974 | − | 0.0153662i | ||||
\(330\) | 4.14337 | + | 1.52854i | 0.228085 | + | 0.0841435i | ||||
\(331\) | −18.8829 | − | 12.6171i | −1.03790 | − | 0.693501i | −0.0848726 | − | 0.996392i | \(-0.527048\pi\) |
−0.953025 | + | 0.302891i | \(0.902048\pi\) | |||||||
\(332\) | 26.5373 | + | 2.16636i | 1.45642 | + | 0.118895i | ||||
\(333\) | 28.0957 | − | 4.53420i | 1.53963 | − | 0.248472i | ||||
\(334\) | 13.9749 | + | 4.86889i | 0.764671 | + | 0.266414i | ||||
\(335\) | −3.32994 | + | 3.32994i | −0.181934 | + | 0.181934i | ||||
\(336\) | 0.162804 | − | 0.889220i | 0.00888167 | − | 0.0485109i | ||||
\(337\) | 1.73367 | + | 1.73367i | 0.0944390 | + | 0.0944390i | 0.752748 | − | 0.658309i | \(-0.228728\pi\) |
−0.658309 | + | 0.752748i | \(0.728728\pi\) | |||||||
\(338\) | −6.96487 | − | 14.4130i | −0.378839 | − | 0.783963i | ||||
\(339\) | −31.4154 | − | 0.570959i | −1.70625 | − | 0.0310102i | ||||
\(340\) | −1.46185 | + | 2.84850i | −0.0792801 | + | 0.154481i | ||||
\(341\) | 5.94815 | − | 8.90204i | 0.322110 | − | 0.482072i | ||||
\(342\) | 4.90749 | − | 3.43104i | 0.265367 | − | 0.185529i | ||||
\(343\) | −0.698212 | + | 1.68563i | −0.0376999 | + | 0.0910156i | ||||
\(344\) | 7.39525 | + | 19.1408i | 0.398725 | + | 1.03200i | ||||
\(345\) | −2.48408 | − | 3.86805i | −0.133739 | − | 0.208249i | ||||
\(346\) | −8.63306 | − | 11.4392i | −0.464116 | − | 0.614975i | ||||
\(347\) | −1.12387 | − | 5.65009i | −0.0603327 | − | 0.303313i | 0.938823 | − | 0.344400i | \(-0.111918\pi\) |
−0.999156 | + | 0.0410875i | \(0.986918\pi\) | |||||||
\(348\) | −22.1870 | − | 2.21776i | −1.18935 | − | 0.118884i | ||||
\(349\) | −17.7202 | − | 26.5202i | −0.948542 | − | 1.41959i | −0.907319 | − | 0.420444i | \(-0.861874\pi\) |
−0.0412234 | − | 0.999150i | \(-0.513126\pi\) | |||||||
\(350\) | 0.840969 | − | 0.0483650i | 0.0449517 | − | 0.00258522i | ||||
\(351\) | 3.43199 | + | 5.79708i | 0.183186 | + | 0.309425i | ||||
\(352\) | 13.6894 | − | 7.18942i | 0.729649 | − | 0.383197i | ||||
\(353\) | 2.67300 | 0.142269 | 0.0711346 | − | 0.997467i | \(-0.477338\pi\) | ||||
0.0711346 | + | 0.997467i | \(0.477338\pi\) | |||||||
\(354\) | 4.93540 | − | 1.18491i | 0.262314 | − | 0.0629774i | ||||
\(355\) | −5.28481 | + | 3.53120i | −0.280489 | + | 0.187417i | ||||
\(356\) | −2.10730 | + | 1.17209i | −0.111687 | + | 0.0621207i | ||||
\(357\) | 0.200660 | + | 0.510482i | 0.0106201 | + | 0.0270176i | ||||
\(358\) | −2.71905 | − | 3.60286i | −0.143706 | − | 0.190417i | ||||
\(359\) | 10.0334 | − | 4.15595i | 0.529540 | − | 0.219343i | −0.101862 | − | 0.994799i | \(-0.532480\pi\) |
0.631402 | + | 0.775456i | \(0.282480\pi\) | |||||||
\(360\) | −2.44982 | + | 5.03226i | −0.129117 | + | 0.265224i | ||||
\(361\) | −15.7134 | − | 6.50869i | −0.827019 | − | 0.342563i | ||||
\(362\) | 25.7716 | − | 6.68491i | 1.35452 | − | 0.351351i | ||||
\(363\) | −5.60289 | − | 2.44100i | −0.294075 | − | 0.128119i | ||||
\(364\) | 0.103614 | + | 0.322082i | 0.00543085 | + | 0.0168817i | ||||
\(365\) | 4.17177 | + | 0.829817i | 0.218361 | + | 0.0434346i | ||||
\(366\) | 19.0038 | − | 13.8072i | 0.993343 | − | 0.721714i | ||||
\(367\) | −24.8849 | + | 24.8849i | −1.29898 | + | 1.29898i | −0.369913 | + | 0.929066i | \(0.620612\pi\) |
−0.929066 | + | 0.369913i | \(0.879388\pi\) | |||||||
\(368\) | −15.8820 | − | 2.61044i | −0.827906 | − | 0.136078i | ||||
\(369\) | −29.9274 | − | 13.6907i | −1.55796 | − | 0.712712i | ||||
\(370\) | −8.35642 | − | 2.91140i | −0.434430 | − | 0.151357i | ||||
\(371\) | −1.17405 | − | 0.233533i | −0.0609537 | − | 0.0121244i | ||||
\(372\) | 10.4760 | + | 8.62294i | 0.543157 | + | 0.447079i | ||||
\(373\) | 15.6143 | − | 23.3685i | 0.808480 | − | 1.20998i | −0.166138 | − | 0.986102i | \(-0.553130\pi\) |
0.974618 | − | 0.223873i | \(-0.0718702\pi\) | |||||||
\(374\) | −4.75580 | + | 8.08715i | −0.245917 | + | 0.418176i | ||||
\(375\) | −10.6771 | − | 2.32627i | −0.551363 | − | 0.120128i | ||||
\(376\) | 15.5540 | − | 2.70748i | 0.802134 | − | 0.139628i | ||||
\(377\) | 7.71001 | − | 3.19359i | 0.397086 | − | 0.164478i | ||||
\(378\) | 0.369525 | + | 0.884771i | 0.0190063 | + | 0.0455077i | ||||
\(379\) | −0.250734 | − | 1.26053i | −0.0128794 | − | 0.0647489i | 0.973811 | − | 0.227358i | \(-0.0730089\pi\) |
−0.986690 | + | 0.162610i | \(0.948009\pi\) | |||||||
\(380\) | −1.84961 | + | 0.213452i | −0.0948829 | + | 0.0109499i | ||||
\(381\) | −8.97814 | − | 9.31053i | −0.459964 | − | 0.476993i | ||||
\(382\) | −9.58532 | − | 8.54275i | −0.490428 | − | 0.437085i | ||||
\(383\) | −10.8069 | −0.552209 | −0.276104 | − | 0.961128i | \(-0.589044\pi\) | ||||
−0.276104 | + | 0.961128i | \(0.589044\pi\) | |||||||
\(384\) | 7.34057 | + | 18.1691i | 0.374597 | + | 0.927188i | ||||
\(385\) | −0.235252 | −0.0119896 | ||||||||
\(386\) | 18.6109 | + | 16.5866i | 0.947270 | + | 0.844238i | ||||
\(387\) | −17.6452 | − | 12.7413i | −0.896955 | − | 0.647676i | ||||
\(388\) | 8.62087 | − | 0.994882i | 0.437659 | − | 0.0505075i | ||||
\(389\) | −1.99431 | − | 10.0261i | −0.101116 | − | 0.508343i | −0.997836 | − | 0.0657460i | \(-0.979057\pi\) |
0.896721 | − | 0.442597i | \(-0.145943\pi\) | |||||||
\(390\) | −0.0822502 | − | 2.09312i | −0.00416490 | − | 0.105989i | ||||
\(391\) | 9.02234 | − | 3.73718i | 0.456280 | − | 0.188997i | ||||
\(392\) | −3.38710 | − | 19.4582i | −0.171074 | − | 0.982789i | ||||
\(393\) | −4.44394 | + | 20.3968i | −0.224167 | + | 1.02888i | ||||
\(394\) | −11.7323 | + | 19.9505i | −0.591063 | + | 1.00509i | ||||
\(395\) | 5.36875 | − | 8.03491i | 0.270131 | − | 0.404280i | ||||
\(396\) | −8.01345 | + | 14.3094i | −0.402691 | + | 0.719074i | ||||
\(397\) | 0.271922 | + | 0.0540887i | 0.0136474 | + | 0.00271463i | 0.201909 | − | 0.979404i | \(-0.435285\pi\) |
−0.188262 | + | 0.982119i | \(0.560285\pi\) | |||||||
\(398\) | 29.8895 | + | 10.4136i | 1.49822 | + | 0.521985i | ||||
\(399\) | −0.182000 | + | 0.261950i | −0.00911142 | + | 0.0131139i | ||||
\(400\) | −14.8347 | + | 10.6465i | −0.741736 | + | 0.532325i | ||||
\(401\) | 5.70249 | − | 5.70249i | 0.284769 | − | 0.284769i | −0.550239 | − | 0.835007i | \(-0.685463\pi\) |
0.835007 | + | 0.550239i | \(0.185463\pi\) | |||||||
\(402\) | −10.2794 | − | 14.1482i | −0.512690 | − | 0.705649i | ||||
\(403\) | −4.98064 | − | 0.990712i | −0.248104 | − | 0.0493509i | ||||
\(404\) | −8.92336 | − | 27.7381i | −0.443954 | − | 1.38002i | ||||
\(405\) | −0.732224 | − | 5.89108i | −0.0363845 | − | 0.292730i | ||||
\(406\) | 1.14971 | − | 0.298225i | 0.0570594 | − | 0.0148007i | ||||
\(407\) | −23.9564 | − | 9.92305i | −1.18747 | − | 0.491867i | ||||
\(408\) | −9.59872 | − | 7.01663i | −0.475207 | − | 0.347375i | ||||
\(409\) | 5.27970 | − | 2.18692i | 0.261064 | − | 0.108136i | −0.248312 | − | 0.968680i | \(-0.579876\pi\) |
0.509377 | + | 0.860544i | \(0.329876\pi\) | |||||||
\(410\) | 6.16435 | + | 8.16805i | 0.304436 | + | 0.403391i | ||||
\(411\) | −5.37570 | + | 2.11308i | −0.265164 | + | 0.104231i | ||||
\(412\) | 23.2638 | − | 12.9394i | 1.14612 | − | 0.637480i | ||||
\(413\) | −0.224807 | + | 0.150211i | −0.0110620 | + | 0.00739142i | ||||
\(414\) | 15.6306 | − | 6.86430i | 0.768201 | − | 0.337362i | ||||
\(415\) | 8.78113 | 0.431049 | ||||||||
\(416\) | −5.63530 | − | 4.69389i | −0.276293 | − | 0.230137i | ||||
\(417\) | 26.9282 | − | 4.84942i | 1.31868 | − | 0.237477i | ||||
\(418\) | −5.44683 | + | 0.313253i | −0.266413 | + | 0.0153217i | ||||
\(419\) | −4.40488 | − | 6.59237i | −0.215193 | − | 0.322058i | 0.708131 | − | 0.706081i | \(-0.249539\pi\) |
−0.923324 | + | 0.384022i | \(0.874539\pi\) | |||||||
\(420\) | 0.0296535 | − | 0.296661i | 0.00144694 | − | 0.0144756i | ||||
\(421\) | 2.54628 | + | 12.8010i | 0.124098 | + | 0.623884i | 0.991905 | + | 0.126982i | \(0.0405291\pi\) |
−0.867807 | + | 0.496902i | \(0.834471\pi\) | |||||||
\(422\) | −11.0147 | − | 14.5949i | −0.536185 | − | 0.710470i | ||||
\(423\) | −12.2633 | + | 11.4028i | −0.596264 | + | 0.554423i | ||||
\(424\) | 24.2046 | − | 9.35170i | 1.17548 | − | 0.454159i | ||||
\(425\) | 4.23979 | − | 10.2358i | 0.205660 | − | 0.496507i | ||||
\(426\) | −9.88198 | − | 21.4354i | −0.478783 | − | 1.03855i | ||||
\(427\) | −0.695177 | + | 1.04041i | −0.0336420 | + | 0.0503488i | ||||
\(428\) | 2.69982 | − | 5.26073i | 0.130501 | − | 0.254287i | ||||
\(429\) | 0.111539 | − | 6.13713i | 0.00538517 | − | 0.296304i | ||||
\(430\) | 2.94449 | + | 6.09328i | 0.141996 | + | 0.293844i | ||||
\(431\) | 28.2829 | + | 28.2829i | 1.36234 | + | 1.36234i | 0.870928 | + | 0.491411i | \(0.163519\pi\) |
0.491411 | + | 0.870928i | \(0.336481\pi\) | |||||||
\(432\) | −17.0346 | − | 11.9089i | −0.819577 | − | 0.572970i | ||||
\(433\) | −6.49657 | + | 6.49657i | −0.312205 | + | 0.312205i | −0.845763 | − | 0.533558i | \(-0.820855\pi\) |
0.533558 | + | 0.845763i | \(0.320855\pi\) | |||||||
\(434\) | −0.682535 | − | 0.237797i | −0.0327627 | − | 0.0114146i | ||||
\(435\) | −7.35254 | − | 0.133629i | −0.352527 | − | 0.00640701i | ||||
\(436\) | −11.5010 | − | 0.938876i | −0.550796 | − | 0.0449640i | ||||
\(437\) | 4.72195 | + | 3.15511i | 0.225881 | + | 0.150929i | ||||
\(438\) | −5.46711 | + | 14.8195i | −0.261229 | + | 0.708103i | ||||
\(439\) | 16.5400 | + | 6.85111i | 0.789413 | + | 0.326985i | 0.740707 | − | 0.671828i | \(-0.234490\pi\) |
0.0487053 | + | 0.998813i | \(0.484490\pi\) | |||||||
\(440\) | 4.30689 | − | 2.73055i | 0.205323 | − | 0.130174i | ||||
\(441\) | 14.2651 | + | 15.3416i | 0.679289 | + | 0.730553i | ||||
\(442\) | 4.40712 | + | 0.616125i | 0.209625 | + | 0.0293061i | ||||
\(443\) | −5.03687 | + | 1.00190i | −0.239309 | + | 0.0476015i | −0.313288 | − | 0.949658i | \(-0.601430\pi\) |
0.0739786 | + | 0.997260i | \(0.476430\pi\) | |||||||
\(444\) | 15.5330 | − | 28.9590i | 0.737165 | − | 1.37434i | ||||
\(445\) | −0.661233 | + | 0.441822i | −0.0313454 | + | 0.0209444i | ||||
\(446\) | 19.7872 | + | 17.6350i | 0.936951 | + | 0.835042i | ||||
\(447\) | −1.91372 | − | 10.6267i | −0.0905159 | − | 0.502624i | ||||
\(448\) | −0.701838 | − | 0.772688i | −0.0331587 | − | 0.0365061i | ||||
\(449\) | − | 20.6619i | − | 0.975093i | −0.873097 | − | 0.487547i | \(-0.837892\pi\) | ||
0.873097 | − | 0.487547i | \(-0.162108\pi\) | |||||||
\(450\) | 7.03235 | − | 18.0455i | 0.331508 | − | 0.850673i | ||||
\(451\) | 16.6592 | + | 24.9322i | 0.784450 | + | 1.17401i | ||||
\(452\) | −22.5445 | + | 28.4268i | −1.06040 | + | 1.33708i | ||||
\(453\) | −4.98905 | − | 12.6922i | −0.234406 | − | 0.596332i | ||||
\(454\) | 2.64680 | − | 18.9325i | 0.124221 | − | 0.888547i | ||||
\(455\) | 0.0427014 | + | 0.103090i | 0.00200187 | + | 0.00483294i | ||||
\(456\) | 0.291549 | − | 6.90813i | 0.0136530 | − | 0.323503i | ||||
\(457\) | 8.62657 | − | 20.8264i | 0.403534 | − | 0.974217i | −0.583267 | − | 0.812280i | \(-0.698226\pi\) |
0.986801 | − | 0.161936i | \(-0.0517740\pi\) | |||||||
\(458\) | −3.35733 | + | 5.70907i | −0.156878 | + | 0.266768i | ||||
\(459\) | 12.5924 | + | 0.687185i | 0.587761 | + | 0.0320750i | ||||
\(460\) | −5.29057 | − | 0.431893i | −0.246674 | − | 0.0201371i | ||||
\(461\) | 5.95852 | − | 29.9555i | 0.277516 | − | 1.39517i | −0.550674 | − | 0.834720i | \(-0.685629\pi\) |
0.828190 | − | 0.560447i | \(-0.189371\pi\) | |||||||
\(462\) | 0.136661 | − | 0.862875i | 0.00635806 | − | 0.0401446i | ||||
\(463\) | −15.5380 | − | 15.5380i | −0.722112 | − | 0.722112i | 0.246923 | − | 0.969035i | \(-0.420580\pi\) |
−0.969035 | + | 0.246923i | \(0.920580\pi\) | |||||||
\(464\) | −17.5870 | + | 18.8044i | −0.816456 | + | 0.872974i | ||||
\(465\) | 3.67493 | + | 2.55331i | 0.170421 | + | 0.118407i | ||||
\(466\) | 12.9866 | − | 6.27558i | 0.601591 | − | 0.290711i | ||||
\(467\) | −3.82547 | + | 19.2319i | −0.177022 | + | 0.889948i | 0.785525 | + | 0.618831i | \(0.212393\pi\) |
−0.962546 | + | 0.271118i | \(0.912607\pi\) | |||||||
\(468\) | 7.72509 | + | 0.914241i | 0.357092 | + | 0.0422608i | ||||
\(469\) | 0.774578 | + | 0.517556i | 0.0357667 | + | 0.0238985i | ||||
\(470\) | 5.04004 | − | 1.30734i | 0.232480 | − | 0.0603031i | ||||
\(471\) | 1.11397 | + | 0.242706i | 0.0513292 | + | 0.0111833i | ||||
\(472\) | 2.37218 | − | 5.35933i | 0.109188 | − | 0.246683i | ||||
\(473\) | 7.58876 | + | 18.3209i | 0.348932 | + | 0.842395i | ||||
\(474\) | 26.3523 | + | 24.3595i | 1.21040 | + | 1.11887i | ||||
\(475\) | 6.31901 | − | 1.25693i | 0.289936 | − | 0.0576719i | ||||
\(476\) | 0.609074 | + | 0.173694i | 0.0279169 | + | 0.00796127i | ||||
\(477\) | −16.1121 | + | 22.3133i | −0.737721 | + | 1.02166i | ||||
\(478\) | 0.845175 | + | 14.6959i | 0.0386574 | + | 0.672174i | ||||
\(479\) | − | 15.8484i | − | 0.724131i | −0.932153 | − | 0.362066i | \(-0.882072\pi\) | ||
0.932153 | − | 0.362066i | \(-0.117928\pi\) | |||||||
\(480\) | 2.90044 | + | 5.77533i | 0.132387 | + | 0.263607i | ||||
\(481\) | 12.2991i | 0.560792i | ||||||||
\(482\) | −37.6442 | + | 2.16496i | −1.71464 | + | 0.0986110i | ||||
\(483\) | −0.654602 | + | 0.631233i | −0.0297854 | + | 0.0287221i | ||||
\(484\) | −6.16722 | + | 3.43024i | −0.280328 | + | 0.155920i | ||||
\(485\) | 2.80705 | − | 0.558356i | 0.127461 | − | 0.0253536i | ||||
\(486\) | 22.0331 | + | 0.736505i | 0.999442 | + | 0.0334085i | ||||
\(487\) | −0.0367056 | − | 0.0886152i | −0.00166329 | − | 0.00401554i | 0.923046 | − | 0.384690i | \(-0.125692\pi\) |
−0.924709 | + | 0.380675i | \(0.875692\pi\) | |||||||
\(488\) | 0.651080 | − | 27.1162i | 0.0294730 | − | 1.22749i | ||||
\(489\) | −8.40517 | + | 38.5780i | −0.380095 | + | 1.74456i | ||||
\(490\) | −1.63550 | − | 6.30517i | −0.0738845 | − | 0.284839i | ||||
\(491\) | 32.9415 | + | 22.0108i | 1.48663 | + | 0.993334i | 0.992273 | + | 0.124074i | \(0.0395960\pi\) |
0.494356 | + | 0.869260i | \(0.335404\pi\) | |||||||
\(492\) | −33.5403 | + | 17.8651i | −1.51212 | + | 0.805422i | ||||
\(493\) | 3.04771 | − | 15.3219i | 0.137262 | − | 0.690062i | ||||
\(494\) | 1.12594 | + | 2.33000i | 0.0506585 | + | 0.104832i | ||||
\(495\) | −2.25010 | + | 4.91863i | −0.101134 | + | 0.221076i | ||||
\(496\) | 15.2556 | − | 3.56865i | 0.684998 | − | 0.160237i | ||||
\(497\) | 0.889068 | + | 0.889068i | 0.0398802 | + | 0.0398802i | ||||
\(498\) | −5.10108 | + | 32.2081i | −0.228585 | + | 1.44328i | ||||
\(499\) | −0.272080 | + | 1.36784i | −0.0121800 | + | 0.0612328i | −0.986397 | − | 0.164379i | \(-0.947438\pi\) |
0.974217 | + | 0.225612i | \(0.0724380\pi\) | |||||||
\(500\) | −9.61870 | + | 8.16679i | −0.430161 | + | 0.365230i | ||||
\(501\) | −7.23916 | + | 16.6162i | −0.323422 | + | 0.742359i | ||||
\(502\) | −25.0377 | − | 14.7239i | −1.11749 | − | 0.657160i | ||||
\(503\) | −3.58557 | + | 8.65633i | −0.159873 | + | 0.385967i | −0.983436 | − | 0.181258i | \(-0.941983\pi\) |
0.823563 | + | 0.567225i | \(0.191983\pi\) | |||||||
\(504\) | 1.07089 | + | 0.281100i | 0.0477013 | + | 0.0125212i | ||||
\(505\) | −3.67749 | − | 8.87825i | −0.163646 | − | 0.395077i | ||||
\(506\) | −15.4046 | − | 2.15359i | −0.684816 | − | 0.0957387i | ||||
\(507\) | 18.2462 | − | 7.17222i | 0.810343 | − | 0.318530i | ||||
\(508\) | −14.8366 | + | 1.71220i | −0.658269 | + | 0.0759668i | ||||
\(509\) | 0.132412 | + | 0.198168i | 0.00586904 | + | 0.00878365i | 0.834393 | − | 0.551171i | \(-0.185819\pi\) |
−0.828523 | + | 0.559954i | \(0.810819\pi\) | |||||||
\(510\) | −3.34345 | − | 2.04884i | −0.148050 | − | 0.0907243i | ||||
\(511\) | − | 0.841421i | − | 0.0372223i | ||||||
\(512\) | 21.8175 | + | 5.99985i | 0.964205 | + | 0.265158i | ||||
\(513\) | 3.73606 | + | 6.31071i | 0.164951 | + | 0.278625i | ||||
\(514\) | −6.32379 | + | 7.09556i | −0.278931 | + | 0.312972i | ||||
\(515\) | 7.29975 | − | 4.87754i | 0.321665 | − | 0.214930i | ||||
\(516\) | −24.0599 | + | 7.26036i | −1.05918 | + | 0.319619i | ||||
\(517\) | 14.9643 | − | 2.97658i | 0.658128 | − | 0.130910i | ||||
\(518\) | −0.242368 | + | 1.73365i | −0.0106490 | + | 0.0761722i | ||||
\(519\) | 14.7689 | − | 9.48464i | 0.648281 | − | 0.416329i | ||||
\(520\) | −1.97832 | − | 1.39170i | −0.0867550 | − | 0.0610300i | ||||
\(521\) | 28.5978 | + | 11.8456i | 1.25289 | + | 0.518964i | 0.907720 | − | 0.419576i | \(-0.137821\pi\) |
0.345170 | + | 0.938540i | \(0.387821\pi\) | |||||||
\(522\) | 4.76133 | − | 26.8906i | 0.208398 | − | 1.17697i | ||||
\(523\) | 2.09849 | + | 1.40217i | 0.0917608 | + | 0.0613126i | 0.600604 | − | 0.799547i | \(-0.294927\pi\) |
−0.508843 | + | 0.860859i | \(0.669927\pi\) | |||||||
\(524\) | 15.6013 | + | 18.3749i | 0.681545 | + | 0.802712i | ||||
\(525\) | −0.0187471 | + | 1.03150i | −0.000818189 | + | 0.0450185i | ||||
\(526\) | −3.92884 | + | 11.2767i | −0.171306 | + | 0.491688i | ||||
\(527\) | −6.72194 | + | 6.72194i | −0.292812 | + | 0.292812i | ||||
\(528\) | 7.51339 | + | 17.3834i | 0.326979 | + | 0.756514i | ||||
\(529\) | −4.81487 | − | 4.81487i | −0.209342 | − | 0.209342i | ||||
\(530\) | 7.70528 | − | 3.72347i | 0.334696 | − | 0.161737i | ||||
\(531\) | 0.990410 | + | 6.13697i | 0.0429801 | + | 0.266322i | ||||
\(532\) | 0.112794 | + | 0.350619i | 0.00489026 | + | 0.0152013i | ||||
\(533\) | 7.90173 | − | 11.8258i | 0.342262 | − | 0.512231i | ||||
\(534\) | −1.23643 | − | 2.68198i | −0.0535054 | − | 0.116061i | ||||
\(535\) | 0.746283 | − | 1.80169i | 0.0322646 | − | 0.0778937i | ||||
\(536\) | −20.1879 | − | 0.484727i | −0.871983 | − | 0.0209370i | ||||
\(537\) | 4.65157 | − | 2.98726i | 0.200730 | − | 0.128910i | ||||
\(538\) | −23.6556 | + | 17.8526i | −1.01986 | + | 0.769682i | ||||
\(539\) | −3.72375 | − | 18.7205i | −0.160393 | − | 0.806351i | ||||
\(540\) | −5.91895 | − | 3.45745i | −0.254711 | − | 0.148785i | ||||
\(541\) | −18.4168 | − | 27.5627i | −0.791800 | − | 1.18501i | −0.979234 | − | 0.202736i | \(-0.935017\pi\) |
0.187433 | − | 0.982277i | \(-0.439983\pi\) | |||||||
\(542\) | 0.650410 | + | 11.3093i | 0.0279375 | + | 0.485776i | ||||
\(543\) | 5.77934 | + | 32.0920i | 0.248015 | + | 1.37720i | ||||
\(544\) | −13.1667 | + | 3.88956i | −0.564519 | + | 0.166763i | ||||
\(545\) | −3.80564 | −0.163016 | ||||||||
\(546\) | −0.402928 | + | 0.0967367i | −0.0172437 | + | 0.00413995i | ||||
\(547\) | 15.5866 | − | 10.4146i | 0.666435 | − | 0.445298i | −0.175787 | − | 0.984428i | \(-0.556247\pi\) |
0.842222 | + | 0.539130i | \(0.181247\pi\) | |||||||
\(548\) | −1.82912 | + | 6.41395i | −0.0781359 | + | 0.273990i | ||||
\(549\) | 15.1036 | + | 24.4858i | 0.644606 | + | 1.04503i | ||||
\(550\) | −14.0852 | + | 10.6300i | −0.600596 | + | 0.453265i | ||||
\(551\) | 8.39313 | − | 3.47655i | 0.357559 | − | 0.148106i | ||||
\(552\) | 4.65750 | − | 19.1543i | 0.198236 | − | 0.815259i | ||||
\(553\) | −1.76611 | − | 0.731545i | −0.0751024 | − | 0.0311085i | ||||
\(554\) | −2.15569 | − | 8.31060i | −0.0915866 | − | 0.353084i | ||||
\(555\) | 4.32873 | − | 9.93585i | 0.183744 | − | 0.421754i | ||||
\(556\) | 14.4255 | − | 28.1087i | 0.611775 | − | 1.19208i | ||||
\(557\) | −34.3714 | − | 6.83689i | −1.45636 | − | 0.289688i | −0.597489 | − | 0.801877i | \(-0.703835\pi\) |
−0.858873 | + | 0.512189i | \(0.828835\pi\) | |||||||
\(558\) | −11.5000 | + | 11.9959i | −0.486835 | + | 0.507829i | ||||
\(559\) | 6.65097 | − | 6.65097i | 0.281306 | − | 0.281306i | ||||
\(560\) | −0.251433 | − | 0.235155i | −0.0106250 | − | 0.00993711i | ||||
\(561\) | −9.43634 | − | 6.55628i | −0.398403 | − | 0.276806i | ||||
\(562\) | 4.69351 | − | 13.4715i | 0.197984 | − | 0.568261i | ||||
\(563\) | −7.73138 | − | 1.53787i | −0.325839 | − | 0.0648134i | 0.0294605 | − | 0.999566i | \(-0.490621\pi\) |
−0.355299 | + | 0.934753i | \(0.615621\pi\) | |||||||
\(564\) | 1.86733 | + | 19.2457i | 0.0786288 | + | 0.810391i | ||||
\(565\) | −6.64774 | + | 9.94904i | −0.279672 | + | 0.418559i | ||||
\(566\) | −20.4895 | − | 12.0493i | −0.861239 | − | 0.506469i | ||||
\(567\) | −1.11471 | + | 0.369415i | −0.0468136 | + | 0.0155140i | ||||
\(568\) | −26.5960 | − | 5.95732i | −1.11594 | − | 0.249964i | ||||
\(569\) | −28.7698 | + | 11.9168i | −1.20609 | + | 0.499580i | −0.892963 | − | 0.450130i | \(-0.851378\pi\) |
−0.313130 | + | 0.949710i | \(0.601378\pi\) | |||||||
\(570\) | −0.0895377 | − | 2.27858i | −0.00375032 | − | 0.0954390i | ||||
\(571\) | 0.525215 | + | 2.64043i | 0.0219795 | + | 0.110499i | 0.990218 | − | 0.139531i | \(-0.0445596\pi\) |
−0.968238 | + | 0.250030i | \(0.919560\pi\) | |||||||
\(572\) | −5.55330 | − | 4.40417i | −0.232195 | − | 0.184147i | ||||
\(573\) | 11.3197 | − | 10.9156i | 0.472887 | − | 0.456005i | ||||
\(574\) | 1.34685 | − | 1.51122i | 0.0562163 | − | 0.0630770i | ||||
\(575\) | 18.3682 | 0.766008 | ||||||||
\(576\) | −22.8681 | + | 7.28349i | −0.952838 | + | 0.303479i | ||||
\(577\) | −14.0828 | −0.586276 | −0.293138 | − | 0.956070i | \(-0.594700\pi\) | ||||
−0.293138 | + | 0.956070i | \(0.594700\pi\) | |||||||
\(578\) | −10.4534 | + | 11.7292i | −0.434806 | + | 0.487870i | ||||
\(579\) | −21.9784 | + | 21.1937i | −0.913390 | + | 0.880782i | ||||
\(580\) | −5.27637 | + | 6.65308i | −0.219089 | + | 0.276254i | ||||
\(581\) | −0.338885 | − | 1.70369i | −0.0140593 | − | 0.0706810i | ||||
\(582\) | 0.417328 | + | 10.6202i | 0.0172988 | + | 0.440224i | ||||
\(583\) | 23.1678 | − | 9.59640i | 0.959511 | − | 0.397442i | ||||
\(584\) | 9.76631 | + | 15.4044i | 0.404133 | + | 0.637437i | ||||
\(585\) | 2.56382 | + | 0.0932233i | 0.106001 | + | 0.00385431i | ||||
\(586\) | −5.22610 | − | 3.07331i | −0.215888 | − | 0.126957i | ||||
\(587\) | 16.5811 | − | 24.8153i | 0.684374 | − | 1.02424i | −0.312851 | − | 0.949802i | \(-0.601284\pi\) |
0.997226 | − | 0.0744364i | \(-0.0237158\pi\) | |||||||
\(588\) | 24.0767 | − | 2.33606i | 0.992905 | − | 0.0963374i | ||||
\(589\) | −5.42194 | − | 1.07849i | −0.223407 | − | 0.0444384i | ||||
\(590\) | 0.635941 | − | 1.82530i | 0.0261813 | − | 0.0751466i | ||||
\(591\) | −23.2789 | − | 16.1739i | −0.957565 | − | 0.665307i | ||||
\(592\) | −15.6852 | − | 34.5520i | −0.644657 | − | 1.42008i | ||||
\(593\) | 1.51792 | − | 1.51792i | 0.0623333 | − | 0.0623333i | −0.675253 | − | 0.737586i | \(-0.735966\pi\) |
0.737586 | + | 0.675253i | \(0.235966\pi\) | |||||||
\(594\) | −16.7338 | − | 11.1104i | −0.686597 | − | 0.455865i | ||||
\(595\) | 0.204868 | + | 0.0407508i | 0.00839877 | + | 0.00167062i | ||||
\(596\) | −11.0925 | − | 5.69270i | −0.454368 | − | 0.233182i | ||||
\(597\) | −15.4831 | + | 35.5388i | −0.633682 | + | 1.45451i | ||||
\(598\) | 1.85240 | + | 7.14136i | 0.0757504 | + | 0.292032i | ||||
\(599\) | −27.1829 | − | 11.2595i | −1.11066 | − | 0.460052i | −0.249498 | − | 0.968375i | \(-0.580266\pi\) |
−0.861167 | + | 0.508323i | \(0.830266\pi\) | |||||||
\(600\) | −11.6294 | − | 19.1019i | −0.474767 | − | 0.779832i | ||||
\(601\) | 14.3135 | − | 5.92883i | 0.583858 | − | 0.241842i | −0.0711476 | − | 0.997466i | \(-0.522666\pi\) |
0.655006 | + | 0.755624i | \(0.272666\pi\) | |||||||
\(602\) | 1.06857 | − | 0.806437i | 0.0435515 | − | 0.0328679i | ||||
\(603\) | 18.2296 | − | 11.2446i | 0.742366 | − | 0.457914i | ||||
\(604\) | −15.1435 | − | 4.31860i | −0.616181 | − | 0.175721i | ||||
\(605\) | −1.93516 | + | 1.29303i | −0.0786755 | + | 0.0525693i | ||||
\(606\) | 34.7006 | − | 8.33108i | 1.40962 | − | 0.338427i | ||||
\(607\) | −26.9760 | −1.09492 | −0.547460 | − | 0.836832i | \(-0.684405\pi\) | ||||
−0.547460 | + | 0.836832i | \(0.684405\pi\) | |||||||
\(608\) | −6.13460 | − | 5.10978i | −0.248791 | − | 0.207229i | ||||
\(609\) | 0.257826 | + | 1.43168i | 0.0104476 | + | 0.0580145i | ||||
\(610\) | −0.513616 | − | 8.93074i | −0.0207957 | − | 0.361595i | ||||
\(611\) | −4.02059 | − | 6.01723i | −0.162656 | − | 0.243431i | ||||
\(612\) | 9.45716 | − | 11.0732i | 0.382283 | − | 0.447606i | ||||
\(613\) | −3.08394 | − | 15.5040i | −0.124559 | − | 0.626201i | −0.991746 | − | 0.128218i | \(-0.959074\pi\) |
0.867187 | − | 0.497983i | \(-0.165926\pi\) | |||||||
\(614\) | −22.1401 | + | 16.7089i | −0.893502 | + | 0.674318i | ||||
\(615\) | −10.5456 | + | 6.77241i | −0.425238 | + | 0.273090i | ||||
\(616\) | −0.695988 | − | 0.730233i | −0.0280422 | − | 0.0294219i | ||||
\(617\) | −13.4837 | + | 32.5525i | −0.542832 | + | 1.31051i | 0.379885 | + | 0.925034i | \(0.375964\pi\) |
−0.922717 | + | 0.385479i | \(0.874036\pi\) | |||||||
\(618\) | 13.6497 | + | 29.6080i | 0.549070 | + | 1.19101i | ||||
\(619\) | 12.0137 | − | 17.9798i | 0.482873 | − | 0.722671i | −0.507415 | − | 0.861702i | \(-0.669399\pi\) |
0.990288 | + | 0.139031i | \(0.0443989\pi\) | |||||||
\(620\) | 4.91888 | − | 1.58241i | 0.197547 | − | 0.0635510i | ||||
\(621\) | 6.93674 | + | 19.7239i | 0.278362 | + | 0.791492i | ||||
\(622\) | −34.7226 | + | 16.7792i | −1.39225 | + | 0.672785i | ||||
\(623\) | 0.111240 | + | 0.111240i | 0.00445672 | + | 0.00445672i | ||||
\(624\) | 6.25381 | − | 6.44777i | 0.250353 | − | 0.258117i | ||||
\(625\) | 13.1969 | − | 13.1969i | 0.527875 | − | 0.527875i | ||||
\(626\) | −6.15935 | + | 17.6788i | −0.246177 | + | 0.706588i | ||||
\(627\) | 0.121422 | − | 6.68089i | 0.00484912 | − | 0.266809i | ||||
\(628\) | 1.00355 | − | 0.852066i | 0.0400459 | − | 0.0340011i | ||||
\(629\) | 19.1434 | + | 12.7912i | 0.763296 | + | 0.510018i | ||||
\(630\) | 0.359553 | + | 0.0636635i | 0.0143249 | + | 0.00253641i | ||||
\(631\) | 6.89332 | + | 2.85530i | 0.274419 | + | 0.113668i | 0.515649 | − | 0.856800i | \(-0.327551\pi\) |
−0.241230 | + | 0.970468i | \(0.577551\pi\) | |||||||
\(632\) | 40.8241 | − | 7.10625i | 1.62389 | − | 0.282672i | ||||
\(633\) | 18.8431 | − | 12.1012i | 0.748947 | − | 0.480978i | ||||
\(634\) | 1.42706 | − | 10.2077i | 0.0566758 | − | 0.405401i | ||||
\(635\) | −4.83096 | + | 0.960938i | −0.191711 | + | 0.0381337i | ||||
\(636\) | 9.18112 | + | 30.4250i | 0.364055 | + | 1.20643i | ||||
\(637\) | −7.52765 | + | 5.02981i | −0.298256 | + | 0.199289i | ||||
\(638\) | −16.5550 | + | 18.5754i | −0.655420 | + | 0.735408i | ||||
\(639\) | 27.0922 | − | 10.0850i | 1.07175 | − | 0.398955i | ||||
\(640\) | 7.33255 | + | 1.38675i | 0.289845 | + | 0.0548159i | ||||
\(641\) | − | 31.6101i | − | 1.24852i | −0.781215 | − | 0.624262i | \(-0.785400\pi\) | ||
0.781215 | − | 0.624262i | \(-0.214600\pi\) | |||||||
\(642\) | 6.17484 | + | 3.78390i | 0.243701 | + | 0.149339i | ||||
\(643\) | −3.02011 | − | 4.51991i | −0.119101 | − | 0.178248i | 0.767129 | − | 0.641493i | \(-0.221685\pi\) |
−0.886230 | + | 0.463246i | \(0.846685\pi\) | |||||||
\(644\) | 0.120381 | + | 1.04313i | 0.00474369 | + | 0.0411051i | ||||
\(645\) | −7.71383 | + | 3.03215i | −0.303732 | + | 0.119391i | ||||
\(646\) | 4.79760 | + | 0.670714i | 0.188759 | + | 0.0263889i | ||||
\(647\) | −13.6254 | − | 32.8947i | −0.535671 | − | 1.29322i | −0.927719 | − | 0.373280i | \(-0.878233\pi\) |
0.392047 | − | 0.919945i | \(-0.371767\pi\) | |||||||
\(648\) | 16.1199 | − | 19.7015i | 0.633250 | − | 0.773948i | ||||
\(649\) | 2.16750 | − | 5.23282i | 0.0850819 | − | 0.205406i | ||||
\(650\) | 7.21484 | + | 4.24283i | 0.282989 | + | 0.166417i | ||||
\(651\) | 0.353562 | − | 0.811539i | 0.0138572 | − | 0.0318067i | ||||
\(652\) | 29.5079 | + | 34.7539i | 1.15562 | + | 1.36107i | ||||
\(653\) | −5.41220 | + | 27.2090i | −0.211796 | + | 1.06477i | 0.717817 | + | 0.696231i | \(0.245141\pi\) |
−0.929613 | + | 0.368537i | \(0.879859\pi\) | |||||||
\(654\) | 2.21075 | − | 13.9586i | 0.0864472 | − | 0.545825i | ||||
\(655\) | 5.62132 | + | 5.62132i | 0.219643 | + | 0.219643i | ||||
\(656\) | −7.11689 | + | 43.2994i | −0.277868 | + | 1.69056i | ||||
\(657\) | −17.5924 | − | 8.04789i | −0.686344 | − | 0.313978i | ||||
\(658\) | −0.448155 | − | 0.927403i | −0.0174709 | − | 0.0361539i | ||||
\(659\) | −4.93829 | + | 24.8265i | −0.192369 | + | 0.967102i | 0.757114 | + | 0.653283i | \(0.226609\pi\) |
−0.949483 | + | 0.313820i | \(0.898391\pi\) | |||||||
\(660\) | 2.93617 | + | 5.51242i | 0.114290 | + | 0.214571i | ||||
\(661\) | 27.4496 | + | 18.3412i | 1.06767 | + | 0.713391i | 0.959775 | − | 0.280771i | \(-0.0905903\pi\) |
0.107891 | + | 0.994163i | \(0.465590\pi\) | |||||||
\(662\) | −8.06403 | − | 31.0883i | −0.313417 | − | 1.20828i | ||||
\(663\) | −1.16022 | + | 5.32517i | −0.0450591 | + | 0.206812i | ||||
\(664\) | 25.9788 | + | 27.2570i | 1.00817 | + | 1.05778i | ||||
\(665\) | 0.0464848 | + | 0.112224i | 0.00180260 | + | 0.00435187i | ||||
\(666\) | 33.9289 | + | 21.6491i | 1.31472 | + | 0.838887i | ||||
\(667\) | 25.4024 | − | 5.05285i | 0.983584 | − | 0.195647i | ||||
\(668\) | 10.1729 | + | 18.2898i | 0.393601 | + | 0.707655i | ||||
\(669\) | −23.3675 | + | 22.5333i | −0.903440 | + | 0.871187i | ||||
\(670\) | −6.64890 | + | 0.382385i | −0.256869 | + | 0.0147728i | ||||
\(671\) | − | 26.2127i | − | 1.01193i | ||||||
\(672\) | 1.00858 | − | 0.785621i | 0.0389068 | − | 0.0303060i | ||||
\(673\) | − | 16.0202i | − | 0.617532i | −0.951138 | − | 0.308766i | \(-0.900084\pi\) | ||
0.951138 | − | 0.308766i | \(-0.0999161\pi\) | |||||||
\(674\) | 0.199081 | + | 3.46162i | 0.00766833 | + | 0.133337i | ||||
\(675\) | 21.3873 | + | 10.2579i | 0.823197 | + | 0.394827i | ||||
\(676\) | 6.20838 | − | 21.7702i | 0.238784 | − | 0.837317i | ||||
\(677\) | 19.9234 | − | 3.96301i | 0.765719 | − | 0.152311i | 0.203247 | − | 0.979128i | \(-0.434851\pi\) |
0.562472 | + | 0.826817i | \(0.309851\pi\) | |||||||
\(678\) | −32.6301 | − | 30.1626i | −1.25315 | − | 1.15839i | ||||
\(679\) | −0.216662 | − | 0.523067i | −0.00831471 | − | 0.0200735i | ||||
\(680\) | −4.22362 | + | 1.63184i | −0.161969 | + | 0.0625782i | ||||
\(681\) | 22.8763 | + | 4.98417i | 0.876623 | + | 0.190994i | ||||
\(682\) | 14.6561 | − | 3.80165i | 0.561211 | − | 0.145573i | ||||
\(683\) | 6.01014 | + | 4.01585i | 0.229972 | + | 0.153662i | 0.665218 | − | 0.746649i | \(-0.268339\pi\) |
−0.435246 | + | 0.900311i | \(0.643339\pi\) | |||||||
\(684\) | 8.40955 | + | 0.995244i | 0.321547 | + | 0.0380541i | ||||
\(685\) | −0.429132 | + | 2.15739i | −0.0163963 | + | 0.0824297i | ||||
\(686\) | −2.32322 | + | 1.12266i | −0.0887009 | + | 0.0428635i | ||||
\(687\) | −6.66153 | − | 4.62837i | −0.254153 | − | 0.176583i | ||||
\(688\) | −10.2026 | + | 27.1667i | −0.388970 | + | 1.03572i | ||||
\(689\) | −8.41051 | − | 8.41051i | −0.320415 | − | 0.320415i | ||||
\(690\) | 1.01697 | − | 6.42112i | 0.0387154 | − | 0.244448i | ||||
\(691\) | −5.84940 | + | 29.4069i | −0.222522 | + | 1.11869i | 0.694389 | + | 0.719599i | \(0.255675\pi\) |
−0.916911 | + | 0.399092i | \(0.869325\pi\) | |||||||
\(692\) | 1.64904 | − | 20.2003i | 0.0626871 | − | 0.767899i | ||||
\(693\) | 1.04114 | + | 0.246736i | 0.0395495 | + | 0.00937274i | ||||
\(694\) | 4.12982 | − | 7.02267i | 0.156766 | − | 0.266577i | ||||
\(695\) | 3.98748 | − | 9.62663i | 0.151254 | − | 0.365159i | ||||
\(696\) | −21.3375 | − | 23.2179i | −0.808797 | − | 0.880074i | ||||
\(697\) | −10.1888 | − | 24.5978i | −0.385927 | − | 0.931709i | ||||
\(698\) | 6.24533 | − | 44.6727i | 0.236389 | − | 1.69089i | ||||
\(699\) | 6.46241 | + | 16.4404i | 0.244431 | + | 0.621834i | ||||
\(700\) | 0.933375 | + | 0.740234i | 0.0352783 | + | 0.0279782i | ||||
\(701\) | 13.3731 | + | 20.0143i | 0.505095 | + | 0.755928i | 0.993145 | − | 0.116887i | \(-0.0372917\pi\) |
−0.488050 | + | 0.872816i | \(0.662292\pi\) | |||||||
\(702\) | −1.83129 | + | 9.34963i | −0.0691177 | + | 0.352879i | ||||
\(703\) | 13.3888i | 0.504970i | ||||||||
\(704\) | 21.2176 | + | 5.29050i | 0.799669 | + | 0.199393i | ||||
\(705\) | 1.13024 | + | 6.27609i | 0.0425674 | + | 0.236371i | ||||
\(706\) | 2.82206 | + | 2.51511i | 0.106210 | + | 0.0946575i | ||||
\(707\) | −1.58061 | + | 1.05613i | −0.0594450 | + | 0.0397199i | ||||
\(708\) | 6.32556 | + | 3.39290i | 0.237729 | + | 0.127513i | ||||
\(709\) | 1.09653 | − | 0.218114i | 0.0411811 | − | 0.00819144i | −0.174457 | − | 0.984665i | \(-0.555817\pi\) |
0.215638 | + | 0.976473i | \(0.430817\pi\) | |||||||
\(710\) | −8.90216 | − | 1.24454i | −0.334092 | − | 0.0467067i | ||||
\(711\) | −32.1872 | + | 29.9286i | −1.20712 | + | 1.12241i | ||||
\(712\) | −3.32768 | − | 0.745376i | −0.124710 | − | 0.0279342i | ||||
\(713\) | −14.5609 | − | 6.03132i | −0.545309 | − | 0.225875i | ||||
\(714\) | −0.268479 | + | 0.727757i | −0.0100476 | + | 0.0272356i | ||||
\(715\) | −1.94359 | − | 1.29866i | −0.0726861 | − | 0.0485673i | ||||
\(716\) | 0.519378 | − | 6.36223i | 0.0194101 | − | 0.237768i | ||||
\(717\) | −18.0255 | − | 0.327604i | −0.673173 | − | 0.0122346i | ||||
\(718\) | 14.5034 | + | 5.05301i | 0.541260 | + | 0.188577i | ||||
\(719\) | 34.6451 | − | 34.6451i | 1.29205 | − | 1.29205i | 0.358525 | − | 0.933520i | \(-0.383280\pi\) |
0.933520 | − | 0.358525i | \(-0.116720\pi\) | |||||||
\(720\) | −7.32147 | + | 3.00778i | −0.272855 | + | 0.112093i | ||||
\(721\) | −1.22804 | − | 1.22804i | −0.0457347 | − | 0.0457347i | ||||
\(722\) | −10.4654 | − | 21.6569i | −0.389482 | − | 0.805986i | ||||
\(723\) | 0.839172 | − | 46.1730i | 0.0312092 | − | 1.71719i | ||||
\(724\) | 33.4988 | + | 17.1917i | 1.24497 | + | 0.638923i | ||||
\(725\) | 16.3245 | − | 24.4313i | 0.606277 | − | 0.907357i | ||||
\(726\) | −3.61852 | − | 7.84907i | −0.134296 | − | 0.291306i | ||||
\(727\) | −0.480494 | + | 1.16001i | −0.0178205 | + | 0.0430226i | −0.932539 | − | 0.361068i | \(-0.882412\pi\) |
0.914719 | + | 0.404091i | \(0.132412\pi\) | |||||||
\(728\) | −0.193666 | + | 0.437537i | −0.00717772 | + | 0.0162162i | ||||
\(729\) | −2.93812 | + | 26.8397i | −0.108819 | + | 0.994062i | ||||
\(730\) | 3.62362 | + | 4.80146i | 0.134116 | + | 0.177710i | ||||
\(731\) | −3.43505 | − | 17.2692i | −0.127050 | − | 0.638724i | ||||
\(732\) | 33.0552 | + | 3.30411i | 1.22176 | + | 0.122124i | ||||
\(733\) | 20.0016 | + | 29.9345i | 0.738775 | + | 1.10565i | 0.990454 | + | 0.137844i | \(0.0440173\pi\) |
−0.251679 | + | 0.967811i | \(0.580983\pi\) | |||||||
\(734\) | −49.6876 | + | 2.85759i | −1.83400 | + | 0.105476i | ||||
\(735\) | 7.85149 | − | 1.41395i | 0.289606 | − | 0.0521543i | ||||
\(736\) | −14.3114 | − | 17.6999i | −0.527526 | − | 0.652428i | ||||
\(737\) | −19.5153 | −0.718854 | ||||||||
\(738\) | −18.7143 | − | 42.6140i | −0.688883 | − | 1.56864i | ||||
\(739\) | −16.4166 | + | 10.9692i | −0.603895 | + | 0.403510i | −0.819590 | − | 0.572951i | \(-0.805798\pi\) |
0.215695 | + | 0.976461i | \(0.430798\pi\) | |||||||
\(740\) | −6.08300 | − | 10.9366i | −0.223615 | − | 0.402038i | ||||
\(741\) | −2.94968 | + | 1.15946i | −0.108359 | + | 0.0425939i | ||||
\(742\) | −1.01978 | − | 1.35126i | −0.0374375 | − | 0.0496064i | ||||
\(743\) | 17.3442 | − | 7.18421i | 0.636297 | − | 0.263563i | −0.0411287 | − | 0.999154i | \(-0.513095\pi\) |
0.677426 | + | 0.735591i | \(0.263095\pi\) | |||||||
\(744\) | 2.94663 | + | 18.9611i | 0.108029 | + | 0.695146i | ||||
\(745\) | −3.79895 | − | 1.57358i | −0.139183 | − | 0.0576514i | ||||
\(746\) | 38.4733 | − | 9.97963i | 1.40861 | − | 0.365380i | ||||
\(747\) | −38.8620 | − | 9.20980i | −1.42188 | − | 0.336969i | ||||
\(748\) | −12.6305 | + | 4.06324i | −0.461816 | + | 0.148567i | ||||
\(749\) | −0.378360 | − | 0.0752604i | −0.0138250 | − | 0.00274995i | ||||
\(750\) | −9.08365 | − | 12.5024i | −0.331688 | − | 0.456524i | ||||
\(751\) | −23.8625 | + | 23.8625i | −0.870754 | + | 0.870754i | −0.992555 | − | 0.121800i | \(-0.961133\pi\) |
0.121800 | + | 0.992555i | \(0.461133\pi\) | |||||||
\(752\) | 18.9689 | + | 11.7768i | 0.691725 | + | 0.429455i | ||||
\(753\) | 20.2982 | − | 29.2148i | 0.739706 | − | 1.06465i | ||||
\(754\) | 11.1449 | + | 3.88292i | 0.405874 | + | 0.141408i | ||||
\(755\) | −5.09367 | − | 1.01319i | −0.185378 | − | 0.0368739i | ||||
\(756\) | −0.442379 | + | 1.28181i | −0.0160892 | + | 0.0466190i | ||||
\(757\) | −21.3248 | + | 31.9148i | −0.775063 | + | 1.15996i | 0.208256 | + | 0.978074i | \(0.433221\pi\) |
−0.983319 | + | 0.181889i | \(0.941779\pi\) | |||||||
\(758\) | 0.921356 | − | 1.56675i | 0.0334651 | − | 0.0569068i | ||||
\(759\) | 4.05540 | − | 18.6135i | 0.147202 | − | 0.675626i | ||||
\(760\) | −2.15360 | − | 1.51500i | −0.0781193 | − | 0.0549550i | ||||
\(761\) | −1.76986 | + | 0.733099i | −0.0641573 | + | 0.0265748i | −0.414531 | − | 0.910035i | \(-0.636054\pi\) |
0.350374 | + | 0.936610i | \(0.386054\pi\) | |||||||
\(762\) | −0.718227 | − | 18.2776i | −0.0260186 | − | 0.662127i | ||||
\(763\) | 0.146869 | + | 0.738360i | 0.00531701 | + | 0.0267304i | ||||
\(764\) | −2.08169 | − | 18.0383i | −0.0753129 | − | 0.652603i | ||||
\(765\) | 2.81150 | − | 3.89360i | 0.101650 | − | 0.140773i | ||||
\(766\) | −11.4096 | − | 10.1686i | −0.412246 | − | 0.367407i | ||||
\(767\) | −2.68651 | −0.0970043 | ||||||||
\(768\) | −9.34599 | + | 26.0893i | −0.337245 | + | 0.941417i | ||||
\(769\) | 16.6973 | 0.602118 | 0.301059 | − | 0.953605i | \(-0.402660\pi\) | ||||
0.301059 | + | 0.953605i | \(0.402660\pi\) | |||||||
\(770\) | −0.248371 | − | 0.221357i | −0.00895068 | − | 0.00797714i | ||||
\(771\) | −8.08029 | − | 8.37943i | −0.291004 | − | 0.301778i | ||||
\(772\) | 4.04182 | + | 35.0232i | 0.145468 | + | 1.26051i | ||||
\(773\) | 9.01117 | + | 45.3022i | 0.324109 | + | 1.62941i | 0.708130 | + | 0.706082i | \(0.249539\pi\) |
−0.384021 | + | 0.923325i | \(0.625461\pi\) | |||||||
\(774\) | −6.64048 | − | 30.0548i | −0.238687 | − | 1.08030i | ||||
\(775\) | −16.5192 | + | 6.84246i | −0.593386 | + | 0.245789i | ||||
\(776\) | 10.0377 | + | 7.06131i | 0.360334 | + | 0.253486i | ||||
\(777\) | −2.09479 | − | 0.456400i | −0.0751500 | − | 0.0163733i | ||||
\(778\) | 7.32836 | − | 12.4617i | 0.262734 | − | 0.446775i | ||||
\(779\) | 8.60184 | − | 12.8736i | 0.308193 | − | 0.461243i | ||||
\(780\) | 1.88265 | − | 2.28724i | 0.0674098 | − | 0.0818963i | ||||
\(781\) | −25.8333 | − | 5.13856i | −0.924388 | − | 0.183872i | ||||
\(782\) | 13.0419 | + | 4.54385i | 0.466378 | + | 0.162488i | ||||
\(783\) | 32.3994 | + | 8.30286i | 1.15786 | + | 0.296720i | ||||
\(784\) | 14.7329 | − | 23.7304i | 0.526176 | − | 0.847514i | ||||
\(785\) | 0.307009 | − | 0.307009i | 0.0109576 | − | 0.0109576i | ||||
\(786\) | −23.8838 | + | 17.3528i | −0.851907 | + | 0.618954i | ||||
\(787\) | 49.8203 | + | 9.90988i | 1.77590 | + | 0.353249i | 0.970801 | − | 0.239886i | \(-0.0771102\pi\) |
0.805103 | + | 0.593135i | \(0.202110\pi\) | |||||||
\(788\) | −31.1586 | + | 10.0238i | −1.10998 | + | 0.357082i | ||||
\(789\) | −13.4081 | − | 5.84148i | −0.477341 | − | 0.207962i | ||||
\(790\) | 13.2285 | − | 3.43134i | 0.470648 | − | 0.122082i | ||||
\(791\) | 2.18684 | + | 0.905819i | 0.0777551 | + | 0.0322072i | ||||
\(792\) | −21.9245 | + | 7.56726i | −0.779054 | + | 0.268891i | ||||
\(793\) | −11.4867 | + | 4.75796i | −0.407905 | + | 0.168960i | ||||
\(794\) | 0.236192 | + | 0.312966i | 0.00838215 | + | 0.0111067i | ||||
\(795\) | 3.83432 | + | 9.75456i | 0.135989 | + | 0.345959i | ||||
\(796\) | 21.7578 | + | 39.1183i | 0.771185 | + | 1.38651i | ||||
\(797\) | 2.51856 | − | 1.68284i | 0.0892118 | − | 0.0596094i | −0.510164 | − | 0.860077i | \(-0.670415\pi\) |
0.599376 | + | 0.800468i | \(0.295415\pi\) | |||||||
\(798\) | −0.438628 | + | 0.105308i | −0.0155273 | + | 0.00372785i | ||||
\(799\) | −13.5472 | −0.479265 | ||||||||
\(800\) | −25.6797 | − | 2.71827i | −0.907913 | − | 0.0961052i | ||||
\(801\) | 3.38976 | − | 1.26182i | 0.119771 | − | 0.0445843i | ||||
\(802\) | 11.3862 | − | 0.654830i | 0.402059 | − | 0.0231229i | ||||
\(803\) | 9.79283 | + | 14.6560i | 0.345582 | + | 0.517199i | ||||
\(804\) | 2.45990 | − | 24.6095i | 0.0867539 | − | 0.867909i | ||||
\(805\) | 0.0675614 | + | 0.339654i | 0.00238123 | + | 0.0119712i | ||||
\(806\) | −4.32620 | − | 5.73242i | −0.152384 | − | 0.201916i | ||||
\(807\) | −19.6136 | − | 30.5411i | −0.690433 | − | 1.07510i | ||||
\(808\) | 16.6787 | − | 37.6812i | 0.586755 | − | 1.32562i | ||||
\(809\) | 12.3905 | − | 29.9133i | 0.435627 | − | 1.05170i | −0.541816 | − | 0.840497i | \(-0.682263\pi\) |
0.977443 | − | 0.211200i | \(-0.0677371\pi\) | |||||||
\(810\) | 4.77006 | − | 6.90858i | 0.167603 | − | 0.242743i | ||||
\(811\) | −13.7998 | + | 20.6529i | −0.484577 | + | 0.725221i | −0.990523 | − | 0.137344i | \(-0.956143\pi\) |
0.505946 | + | 0.862565i | \(0.331143\pi\) | |||||||
\(812\) | 1.49444 | + | 0.766950i | 0.0524446 | + | 0.0269147i | ||||
\(813\) | −13.8716 | − | 0.252110i | −0.486498 | − | 0.00884187i | ||||
\(814\) | −15.9554 | − | 33.0178i | −0.559236 | − | 1.15727i | ||||
\(815\) | 10.6320 | + | 10.6320i | 0.372424 | + | 0.372424i | ||||
\(816\) | −3.53182 | − | 16.4397i | −0.123639 | − | 0.575504i | ||||
\(817\) | 7.24025 | − | 7.24025i | 0.253304 | − | 0.253304i | ||||
\(818\) | 7.63188 | + | 2.65897i | 0.266842 | + | 0.0929687i | ||||
\(819\) | −0.0808573 | − | 0.501024i | −0.00282538 | − | 0.0175072i | ||||
\(820\) | −1.17748 | + | 14.4238i | −0.0411194 | + | 0.503701i | ||||
\(821\) | −19.1645 | − | 12.8053i | −0.668845 | − | 0.446908i | 0.174229 | − | 0.984705i | \(-0.444257\pi\) |
−0.843074 | + | 0.537797i | \(0.819257\pi\) | |||||||
\(822\) | −7.66376 | − | 2.82726i | −0.267304 | − | 0.0986121i | ||||
\(823\) | −46.0915 | − | 19.0917i | −1.60665 | − | 0.665495i | −0.614311 | − | 0.789064i | \(-0.710566\pi\) |
−0.992336 | + | 0.123569i | \(0.960566\pi\) | |||||||
\(824\) | 36.7362 | + | 8.22866i | 1.27977 | + | 0.286659i | ||||
\(825\) | −11.6786 | − | 18.1851i | −0.406595 | − | 0.633123i | ||||
\(826\) | −0.378683 | − | 0.0529407i | −0.0131761 | − | 0.00184204i | ||||
\(827\) | 3.97592 | − | 0.790860i | 0.138256 | − | 0.0275009i | −0.125477 | − | 0.992097i | \(-0.540046\pi\) |
0.263733 | + | 0.964596i | \(0.415046\pi\) | |||||||
\(828\) | 22.9611 | + | 7.46024i | 0.797953 | + | 0.259261i | ||||
\(829\) | −17.5609 | + | 11.7338i | −0.609917 | + | 0.407533i | −0.821812 | − | 0.569759i | \(-0.807036\pi\) |
0.211895 | + | 0.977292i | \(0.432036\pi\) | |||||||
\(830\) | 9.27082 | + | 8.26246i | 0.321795 | + | 0.286794i | ||||
\(831\) | 10.3487 | − | 1.86367i | 0.358994 | − | 0.0646500i | ||||
\(832\) | −1.53292 | − | 10.2581i | −0.0531443 | − | 0.355636i | ||||
\(833\) | 16.9477i | 0.587203i | ||||||||
\(834\) | 32.9929 | + | 20.2178i | 1.14245 | + | 0.700086i | ||||
\(835\) | 3.83469 | + | 5.73902i | 0.132705 | + | 0.198607i | ||||
\(836\) | −6.04533 | − | 4.79438i | −0.209082 | − | 0.165817i | ||||
\(837\) | −13.5859 | − | 15.1543i | −0.469598 | − | 0.523810i | ||||
\(838\) | 1.55246 | − | 11.1047i | 0.0536289 | − | 0.383606i | ||||
\(839\) | −19.5581 | − | 47.2175i | −0.675222 | − | 1.63013i | −0.772607 | − | 0.634884i | \(-0.781048\pi\) |
0.0973851 | − | 0.995247i | \(-0.468952\pi\) | |||||||
\(840\) | 0.310446 | − | 0.285303i | 0.0107114 | − | 0.00984390i | ||||
\(841\) | 4.75745 | − | 11.4855i | 0.164050 | − | 0.396052i | ||||
\(842\) | −9.35665 | + | 15.9108i | −0.322451 | + | 0.548322i | ||||
\(843\) | 16.0177 | + | 6.97840i | 0.551679 | + | 0.240349i | ||||
\(844\) | 2.10396 | − | 25.7729i | 0.0724213 | − | 0.887140i | ||||
\(845\) | 1.45656 | − | 7.32262i | 0.0501072 | − | 0.251906i | ||||
\(846\) | −23.6765 | + | 0.499714i | −0.814015 | + | 0.0171805i | ||||
\(847\) | 0.325554 | + | 0.325554i | 0.0111862 | + | 0.0111862i | ||||
\(848\) | 34.3537 | + | 12.9017i | 1.17971 | + | 0.443047i | ||||
\(849\) | 16.6110 | − | 23.9079i | 0.570086 | − | 0.820515i | ||||
\(850\) | 14.1074 | − | 6.81720i | 0.483880 | − | 0.233828i | ||||
\(851\) | −7.44682 | + | 37.4377i | −0.255274 | + | 1.28335i | ||||
\(852\) | 9.73620 | − | 31.9290i | 0.333557 | − | 1.09387i | ||||
\(853\) | −14.3936 | − | 9.61749i | −0.492827 | − | 0.329296i | 0.284199 | − | 0.958765i | \(-0.408272\pi\) |
−0.777026 | + | 0.629469i | \(0.783272\pi\) | |||||||
\(854\) | −1.71290 | + | 0.444310i | −0.0586141 | + | 0.0152040i | ||||
\(855\) | 2.79098 | + | 0.101483i | 0.0954496 | + | 0.00347065i | ||||
\(856\) | 7.80038 | − | 3.01376i | 0.266612 | − | 0.103008i | ||||
\(857\) | 21.9971 | + | 53.1056i | 0.751405 | + | 1.81405i | 0.551362 | + | 0.834266i | \(0.314108\pi\) |
0.200043 | + | 0.979787i | \(0.435892\pi\) | |||||||
\(858\) | 5.89240 | − | 6.37443i | 0.201163 | − | 0.217619i | ||||
\(859\) | −43.2845 | + | 8.60982i | −1.47685 | + | 0.293763i | −0.866822 | − | 0.498619i | \(-0.833841\pi\) |
−0.610026 | + | 0.792382i | \(0.708841\pi\) | |||||||
\(860\) | −2.62468 | + | 9.20365i | −0.0895007 | + | 0.313842i | ||||
\(861\) | 1.72095 | + | 1.78466i | 0.0586497 | + | 0.0608210i | ||||
\(862\) | 3.24779 | + | 56.4725i | 0.110620 | + | 1.92346i | ||||
\(863\) | 18.7780i | 0.639211i | 0.947551 | + | 0.319605i | \(0.103550\pi\) | ||||
−0.947551 | + | 0.319605i | \(0.896450\pi\) | |||||||
\(864\) | −6.77900 | − | 28.6015i | −0.230626 | − | 0.973042i | ||||
\(865\) | − | 6.68422i | − | 0.227270i | ||||||
\(866\) | −12.9717 | + | 0.746017i | −0.440797 | + | 0.0253507i | ||||
\(867\) | −13.3570 | − | 13.8515i | −0.453627 | − | 0.470421i | ||||
\(868\) | −0.496846 | − | 0.893279i | −0.0168641 | − | 0.0303198i | ||||
\(869\) | 39.2764 | − | 7.81255i | 1.33236 | − | 0.265023i | ||||
\(870\) | −7.63683 | − | 7.05933i | −0.258913 | − | 0.239334i | ||||
\(871\) | 3.54228 | + | 8.55182i | 0.120026 | + | 0.289767i | ||||
\(872\) | −11.2589 | − | 11.8129i | −0.381275 | − | 0.400034i | ||||
\(873\) | −13.0085 | − | 0.473004i | −0.440272 | − | 0.0160088i | ||||
\(874\) | 2.01653 | + | 7.77410i | 0.0682101 | + | 0.262963i | ||||
\(875\) | 0.684475 | + | 0.457351i | 0.0231395 | + | 0.0154613i | ||||
\(876\) | −19.7162 | + | 10.5017i | −0.666147 | + | 0.354821i | ||||
\(877\) | −6.57996 | + | 33.0797i | −0.222189 | + | 1.11702i | 0.695134 | + | 0.718880i | \(0.255345\pi\) |
−0.917324 | + | 0.398142i | \(0.869655\pi\) | |||||||
\(878\) | 11.0160 | + | 22.7963i | 0.371771 | + | 0.769336i | ||||
\(879\) | 4.23682 | − | 6.09799i | 0.142905 | − | 0.205680i | ||||
\(880\) | 7.11634 | + | 1.16967i | 0.239892 | + | 0.0394297i | ||||
\(881\) | 13.0510 | + | 13.0510i | 0.439698 | + | 0.439698i | 0.891910 | − | 0.452212i | \(-0.149365\pi\) |
−0.452212 | + | 0.891910i | \(0.649365\pi\) | |||||||
\(882\) | 0.625150 | + | 29.6197i | 0.0210499 | + | 0.997346i | ||||
\(883\) | 10.4090 | − | 52.3294i | 0.350290 | − | 1.76103i | −0.256870 | − | 0.966446i | \(-0.582691\pi\) |
0.607160 | − | 0.794580i | \(-0.292309\pi\) | |||||||
\(884\) | 4.07316 | + | 4.79730i | 0.136995 | + | 0.161351i | ||||
\(885\) | 2.17030 | + | 0.945530i | 0.0729538 | + | 0.0317836i | ||||
\(886\) | −6.26048 | − | 3.68160i | −0.210325 | − | 0.123686i | ||||
\(887\) | 5.27915 | − | 12.7450i | 0.177256 | − | 0.427935i | −0.810133 | − | 0.586246i | \(-0.800605\pi\) |
0.987389 | + | 0.158312i | \(0.0506050\pi\) | |||||||
\(888\) | 43.6478 | − | 15.9584i | 1.46472 | − | 0.535530i | ||||
\(889\) | 0.372877 | + | 0.900206i | 0.0125059 | + | 0.0301919i | ||||
\(890\) | −1.11383 | − | 0.155716i | −0.0373357 | − | 0.00521961i | ||||
\(891\) | 15.1168 | − | 19.4081i | 0.506433 | − | 0.650195i | ||||
\(892\) | 4.29728 | + | 37.2369i | 0.143884 | + | 1.24678i | ||||
\(893\) | −4.37682 | − | 6.55037i | −0.146465 | − | 0.219200i | ||||
\(894\) | 7.97855 | − | 13.0200i | 0.266842 | − | 0.435453i | ||||
\(895\) | − | 2.10525i | − | 0.0703706i | ||||||
\(896\) | −0.0139286 | − | 1.47616i | −0.000465322 | − | 0.0493151i | ||||
\(897\) | −8.89275 | + | 1.60147i | −0.296920 | + | 0.0534714i | ||||
\(898\) | 19.4414 | − | 21.8141i | 0.648770 | − | 0.727946i | ||||
\(899\) | −20.9629 | + | 14.0070i | −0.699153 | + | 0.467159i | ||||
\(900\) | 24.4041 | − | 12.4349i | 0.813471 | − | 0.414495i | ||||
\(901\) | −21.8378 | + | 4.34381i | −0.727524 | + | 0.144713i | ||||
\(902\) | −5.87138 | + | 41.9978i | −0.195496 | + | 1.39837i | ||||
\(903\) | 0.885986 | + | 1.37960i | 0.0294838 | + | 0.0459102i | ||||
\(904\) | −50.5495 | + | 8.79916i | −1.68125 | + | 0.292656i | ||||
\(905\) | 11.4726 | + | 4.75212i | 0.381363 | + | 0.157966i | ||||
\(906\) | 6.67525 | − | 18.0944i | 0.221770 | − | 0.601145i | ||||
\(907\) | 39.6779 | + | 26.5119i | 1.31748 | + | 0.880314i | 0.997740 | − | 0.0671898i | \(-0.0214033\pi\) |
0.319743 | + | 0.947504i | \(0.396403\pi\) | |||||||
\(908\) | 20.6087 | − | 17.4978i | 0.683922 | − | 0.580686i | ||||
\(909\) | 6.96353 | + | 43.1488i | 0.230966 | + | 1.43116i | ||||
\(910\) | −0.0519184 | + | 0.149018i | −0.00172108 | + | 0.00493991i | ||||
\(911\) | −26.2030 | + | 26.2030i | −0.868146 | + | 0.868146i | −0.992267 | − | 0.124122i | \(-0.960389\pi\) |
0.124122 | + | 0.992267i | \(0.460389\pi\) | |||||||
\(912\) | 6.80791 | − | 7.01905i | 0.225432 | − | 0.232424i | ||||
\(913\) | 25.7311 | + | 25.7311i | 0.851574 | + | 0.851574i | ||||
\(914\) | 28.7039 | − | 13.8708i | 0.949440 | − | 0.458804i | ||||
\(915\) | 10.9541 | + | 0.199086i | 0.362133 | + | 0.00658159i | ||||
\(916\) | −8.91642 | + | 2.86842i | −0.294607 | + | 0.0947753i | ||||
\(917\) | 0.873693 | − | 1.30757i | 0.0288519 | − | 0.0431799i | ||||
\(918\) | 12.6480 | + | 12.5741i | 0.417446 | + | 0.415006i | ||||
\(919\) | 14.1445 | − | 34.1479i | 0.466585 | − | 1.12644i | −0.499060 | − | 0.866568i | \(-0.666321\pi\) |
0.965644 | − | 0.259867i | \(-0.0836789\pi\) | |||||||
\(920\) | −5.17922 | − | 5.43406i | −0.170754 | − | 0.179156i | ||||
\(921\) | −18.3571 | − | 28.5845i | −0.604888 | − | 0.941892i | ||||
\(922\) | 34.4770 | − | 26.0194i | 1.13544 | − | 0.856905i | ||||
\(923\) | 2.43731 | + | 12.2532i | 0.0802249 | + | 0.403318i | ||||
\(924\) | 0.956191 | − | 0.782406i | 0.0314564 | − | 0.0257393i | ||||
\(925\) | 24.0588 | + | 36.0066i | 0.791049 | + | 1.18389i | ||||
\(926\) | −1.78427 | − | 31.0247i | −0.0586346 | − | 1.01954i | ||||
\(927\) | −37.4216 | + | 13.9300i | −1.22909 | + | 0.457522i | ||||
\(928\) | −36.2615 | + | 3.30489i | −1.19034 | + | 0.108488i | ||||
\(929\) | −52.3068 | −1.71613 | −0.858065 | − | 0.513541i | \(-0.828333\pi\) | ||||
−0.858065 | + | 0.513541i | \(0.828333\pi\) | |||||||
\(930\) | 1.47738 | + | 6.15357i | 0.0484451 | + | 0.201783i | ||||
\(931\) | −8.19461 | + | 5.47546i | −0.268568 | + | 0.179451i | ||||
\(932\) | 19.6157 | + | 5.59396i | 0.642533 | + | 0.183236i | ||||
\(933\) | −17.2787 | − | 43.9573i | −0.565680 | − | 1.43910i | ||||
\(934\) | −22.1348 | + | 16.7049i | −0.724273 | + | 0.546602i | ||||
\(935\) | −4.04270 | + | 1.67454i | −0.132210 | + | 0.0547633i | ||||
\(936\) | 7.29565 | + | 8.23403i | 0.238466 | + | 0.269138i | ||||
\(937\) | −0.210887 | − | 0.0873524i | −0.00688939 | − | 0.00285368i | 0.379236 | − | 0.925300i | \(-0.376187\pi\) |
−0.386125 | + | 0.922446i | \(0.626187\pi\) | |||||||
\(938\) | 0.330787 | + | 1.27524i | 0.0108006 | + | 0.0416382i | ||||
\(939\) | −21.0203 | − | 9.15785i | −0.685970 | − | 0.298855i | ||||
\(940\) | 6.55123 | + | 3.36210i | 0.213678 | + | 0.109660i | ||||
\(941\) | −43.4652 | − | 8.64577i | −1.41693 | − | 0.281844i | −0.573551 | − | 0.819170i | \(-0.694435\pi\) |
−0.843375 | + | 0.537325i | \(0.819435\pi\) | |||||||
\(942\) | 0.947725 | + | 1.30442i | 0.0308785 | + | 0.0425002i | ||||
\(943\) | 31.2125 | − | 31.2125i | 1.01642 | − | 1.01642i | ||||
\(944\) | 7.54724 | − | 3.42613i | 0.245642 | − | 0.111511i | ||||
\(945\) | −0.111017 | + | 0.433211i | −0.00361139 | + | 0.0140924i | ||||
\(946\) | −9.22679 | + | 26.4831i | −0.299989 | + | 0.861040i | ||||
\(947\) | 10.1237 | + | 2.01372i | 0.328975 | + | 0.0654372i | 0.356815 | − | 0.934175i | \(-0.383863\pi\) |
−0.0278397 | + | 0.999612i | \(0.508863\pi\) | |||||||
\(948\) | 4.90113 | + | 50.5137i | 0.159181 | + | 1.64061i | ||||
\(949\) | 4.64491 | − | 6.95159i | 0.150780 | − | 0.225658i | ||||
\(950\) | 7.85409 | + | 4.61875i | 0.254820 | + | 0.149852i | ||||
\(951\) | 12.3341 | + | 2.68729i | 0.399960 | + | 0.0871412i | ||||
\(952\) | 0.479605 | + | 0.756480i | 0.0155441 | + | 0.0245176i | ||||
\(953\) | −50.4642 | + | 20.9029i | −1.63469 | + | 0.677113i | −0.995746 | − | 0.0921366i | \(-0.970630\pi\) |
−0.638949 | + | 0.769249i | \(0.720630\pi\) | |||||||
\(954\) | −38.0059 | + | 8.39725i | −1.23049 | + | 0.271871i | ||||
\(955\) | −1.16830 | − | 5.87346i | −0.0378054 | − | 0.190061i | ||||
\(956\) | −12.9355 | + | 16.3107i | −0.418365 | + | 0.527525i | ||||
\(957\) | −21.1534 | − | 21.9365i | −0.683791 | − | 0.709106i | ||||
\(958\) | 14.9123 | − | 16.7322i | 0.481794 | − | 0.540593i | ||||
\(959\) | 0.435133 | 0.0140512 | ||||||||
\(960\) | −2.37202 | + | 8.82653i | −0.0765565 | + | 0.284875i | ||||
\(961\) | −15.6581 | −0.505101 | ||||||||
\(962\) | −11.5727 | + | 12.9850i | −0.373118 | + | 0.418653i | ||||
\(963\) | −5.19241 | + | 7.19087i | −0.167323 | + | 0.231723i | ||||
\(964\) | −41.7805 | − | 33.1350i | −1.34566 | − | 1.06721i | ||||
\(965\) | 2.26838 | + | 11.4039i | 0.0730218 | + | 0.367106i | ||||
\(966\) | −1.28506 | + | 0.0504969i | −0.0413460 | + | 0.00162471i | ||||
\(967\) | −38.3116 | + | 15.8692i | −1.23202 | + | 0.510318i | −0.901211 | − | 0.433380i | \(-0.857321\pi\) |
−0.330807 | + | 0.943699i | \(0.607321\pi\) | |||||||
\(968\) | −9.73877 | − | 2.18142i | −0.313016 | − | 0.0701134i | ||||
\(969\) | −1.26302 | + | 5.79699i | −0.0405739 | + | 0.186226i | ||||
\(970\) | 3.48896 | + | 2.05175i | 0.112024 | + | 0.0658778i | ||||
\(971\) | −23.3072 | + | 34.8817i | −0.747963 | + | 1.11941i | 0.240896 | + | 0.970551i | \(0.422559\pi\) |
−0.988859 | + | 0.148855i | \(0.952441\pi\) | |||||||
\(972\) | 22.5688 | + | 21.5093i | 0.723895 | + | 0.689910i | ||||
\(973\) | −2.02162 | − | 0.402125i | −0.0648102 | − | 0.0128915i | ||||
\(974\) | 0.0446285 | − | 0.128095i | 0.00142999 | − | 0.00410442i | ||||
\(975\) | −5.84910 | + | 8.41851i | −0.187321 | + | 0.269608i | ||||
\(976\) | 26.2019 | − | 28.0157i | 0.838702 | − | 0.896761i | ||||
\(977\) | −1.16173 | + | 1.16173i | −0.0371671 | + | 0.0371671i | −0.725446 | − | 0.688279i | \(-0.758367\pi\) |
0.688279 | + | 0.725446i | \(0.258367\pi\) | |||||||
\(978\) | −45.1733 | + | 32.8207i | −1.44448 | + | 1.04949i | ||||
\(979\) | −3.23225 | − | 0.642934i | −0.103303 | − | 0.0205483i | ||||
\(980\) | 4.20604 | − | 8.19569i | 0.134357 | − | 0.261802i | ||||
\(981\) | 16.8423 | + | 3.99142i | 0.537734 | + | 0.127436i | ||||
\(982\) | 14.0678 | + | 54.2340i | 0.448922 | + | 1.73068i | ||||
\(983\) | −10.0402 | − | 4.15877i | −0.320232 | − | 0.132644i | 0.216777 | − | 0.976221i | \(-0.430446\pi\) |
−0.537008 | + | 0.843577i | \(0.680446\pi\) | |||||||
\(984\) | −52.2207 | − | 12.6978i | −1.66473 | − | 0.404793i | ||||
\(985\) | −9.97308 | + | 4.13099i | −0.317769 | + | 0.131624i | ||||
\(986\) | 17.6345 | − | 13.3086i | 0.561598 | − | 0.423833i | ||||
\(987\) | 1.17405 | − | 0.461496i | 0.0373705 | − | 0.0146896i | ||||
\(988\) | −1.00365 | + | 3.51938i | −0.0319303 | + | 0.111966i | ||||
\(989\) | 24.2721 | − | 16.2181i | 0.771807 | − | 0.515705i | ||||
\(990\) | −7.00369 | + | 3.07573i | −0.222592 | + | 0.0977531i | ||||
\(991\) | −15.2599 | −0.484747 | −0.242374 | − | 0.970183i | \(-0.577926\pi\) | ||||
−0.242374 | + | 0.970183i | \(0.577926\pi\) | |||||||
\(992\) | 19.4643 | + | 10.5869i | 0.617991 | + | 0.336134i | ||||
\(993\) | 38.7126 | − | 6.97163i | 1.22851 | − | 0.221238i | ||||
\(994\) | 0.102094 | + | 1.77520i | 0.00323822 | + | 0.0563060i | ||||
\(995\) | 8.20164 | + | 12.2746i | 0.260010 | + | 0.389132i | ||||
\(996\) | −35.6912 | + | 29.2044i | −1.13092 | + | 0.925378i | ||||
\(997\) | 7.68549 | + | 38.6376i | 0.243402 | + | 1.22366i | 0.888252 | + | 0.459356i | \(0.151920\pi\) |
−0.644851 | + | 0.764309i | \(0.723080\pi\) | |||||||
\(998\) | −1.57430 | + | 1.18811i | −0.0498335 | + | 0.0376089i | ||||
\(999\) | −29.5782 | + | 39.4323i | −0.935814 | + | 1.24758i |
(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 | 192.2.s.a.179.24 | yes | 240 | |
3.2 | odd | 2 | inner | 192.2.s.a.179.7 | yes | 240 | |
4.3 | odd | 2 | 768.2.s.a.623.24 | 240 | |||
12.11 | even | 2 | 768.2.s.a.623.4 | 240 | |||
64.5 | even | 16 | 768.2.s.a.143.4 | 240 | |||
64.59 | odd | 16 | inner | 192.2.s.a.59.7 | ✓ | 240 | |
192.5 | odd | 16 | 768.2.s.a.143.24 | 240 | |||
192.59 | even | 16 | inner | 192.2.s.a.59.24 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
192.2.s.a.59.7 | ✓ | 240 | 64.59 | odd | 16 | inner | |
192.2.s.a.59.24 | yes | 240 | 192.59 | even | 16 | inner | |
192.2.s.a.179.7 | yes | 240 | 3.2 | odd | 2 | inner | |
192.2.s.a.179.24 | yes | 240 | 1.1 | even | 1 | trivial | |
768.2.s.a.143.4 | 240 | 64.5 | even | 16 | |||
768.2.s.a.143.24 | 240 | 192.5 | odd | 16 | |||
768.2.s.a.623.4 | 240 | 12.11 | even | 2 | |||
768.2.s.a.623.24 | 240 | 4.3 | odd | 2 |