Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [588,2,Mod(103,588)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(588, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([21, 0, 29]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("588.103");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 588.ba (of order \(42\), degree \(12\), 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: | \(4.69520363885\) |
Analytic rank: | \(0\) |
Dimension: | \(336\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 283.21 | ||
Character | \(\chi\) | \(=\) | 588.283 |
Dual form | 588.2.ba.a.187.21 |
$q$-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 \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(295\) | \(493\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{19}{42}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.789543 | + | 1.17330i | 0.558291 | + | 0.829645i | ||||
\(3\) | 0.988831 | − | 0.149042i | 0.570902 | − | 0.0860496i | ||||
\(4\) | −0.753245 | + | 1.85273i | −0.376622 | + | 0.926367i | ||||
\(5\) | 2.68885 | + | 1.05530i | 1.20249 | + | 0.471943i | 0.880157 | − | 0.474683i | \(-0.157437\pi\) |
0.322334 | + | 0.946626i | \(0.395532\pi\) | |||||||
\(6\) | 0.955595 | + | 1.04252i | 0.390120 | + | 0.425605i | ||||
\(7\) | 0.891718 | + | 2.49095i | 0.337038 | + | 0.941491i | ||||
\(8\) | −2.76852 | + | 0.579034i | −0.978821 | + | 0.204719i | ||||
\(9\) | 0.955573 | − | 0.294755i | 0.318524 | − | 0.0982517i | ||||
\(10\) | 0.884789 | + | 3.98802i | 0.279795 | + | 1.26112i | ||||
\(11\) | 0.268235 | − | 0.869598i | 0.0808760 | − | 0.262194i | −0.906099 | − | 0.423065i | \(-0.860954\pi\) |
0.986975 | + | 0.160871i | \(0.0514304\pi\) | |||||||
\(12\) | −0.468696 | + | 1.94431i | −0.135301 | + | 0.561273i | ||||
\(13\) | 2.28247 | − | 0.520959i | 0.633044 | − | 0.144488i | 0.106055 | − | 0.994360i | \(-0.466178\pi\) |
0.526989 | + | 0.849872i | \(0.323321\pi\) | |||||||
\(14\) | −2.21857 | + | 3.01296i | −0.592938 | + | 0.805248i | ||||
\(15\) | 2.81610 | + | 0.642757i | 0.727115 | + | 0.165959i | ||||
\(16\) | −2.86524 | − | 2.79112i | −0.716311 | − | 0.697781i | ||||
\(17\) | −3.81661 | − | 5.59793i | −0.925663 | − | 1.35770i | −0.933824 | − | 0.357732i | \(-0.883550\pi\) |
0.00816129 | − | 0.999967i | \(-0.497402\pi\) | |||||||
\(18\) | 1.10030 | + | 0.888447i | 0.259343 | + | 0.209409i | ||||
\(19\) | −3.81043 | − | 6.59986i | −0.874173 | − | 1.51411i | −0.857641 | − | 0.514248i | \(-0.828071\pi\) |
−0.0165316 | − | 0.999863i | \(-0.505262\pi\) | |||||||
\(20\) | −3.98055 | + | 4.18683i | −0.890077 | + | 0.936204i | ||||
\(21\) | 1.25302 | + | 2.33023i | 0.273430 | + | 0.508497i | ||||
\(22\) | 1.23208 | − | 0.371865i | 0.262680 | − | 0.0792819i | ||||
\(23\) | −2.79569 | + | 4.10052i | −0.582941 | + | 0.855017i | −0.998511 | − | 0.0545438i | \(-0.982630\pi\) |
0.415571 | + | 0.909561i | \(0.363582\pi\) | |||||||
\(24\) | −2.65130 | + | 0.985193i | −0.541194 | + | 0.201102i | ||||
\(25\) | 2.45102 | + | 2.27421i | 0.490203 | + | 0.454842i | ||||
\(26\) | 2.41335 | + | 2.26669i | 0.473296 | + | 0.444535i | ||||
\(27\) | 0.900969 | − | 0.433884i | 0.173392 | − | 0.0835010i | ||||
\(28\) | −5.28675 | − | 0.224179i | −0.999102 | − | 0.0423659i | ||||
\(29\) | 5.68903 | + | 2.73969i | 1.05643 | + | 0.508748i | 0.879708 | − | 0.475514i | \(-0.157738\pi\) |
0.176717 | + | 0.984262i | \(0.443452\pi\) | |||||||
\(30\) | 1.46929 | + | 3.81161i | 0.268254 | + | 0.695901i | ||||
\(31\) | −1.62430 | + | 2.81336i | −0.291732 | + | 0.505295i | −0.974219 | − | 0.225603i | \(-0.927565\pi\) |
0.682487 | + | 0.730897i | \(0.260898\pi\) | |||||||
\(32\) | 1.01258 | − | 5.56549i | 0.179001 | − | 0.983849i | ||||
\(33\) | 0.135633 | − | 0.899864i | 0.0236106 | − | 0.156646i | ||||
\(34\) | 3.55466 | − | 8.89782i | 0.609619 | − | 1.52596i | ||||
\(35\) | −0.230994 | + | 7.63883i | −0.0390452 | + | 1.29120i | ||||
\(36\) | −0.173677 | + | 1.99244i | −0.0289462 | + | 0.332074i | ||||
\(37\) | 0.408644 | + | 5.45298i | 0.0671807 | + | 0.896464i | 0.924378 | + | 0.381477i | \(0.124584\pi\) |
−0.857198 | + | 0.514988i | \(0.827797\pi\) | |||||||
\(38\) | 4.73509 | − | 9.68163i | 0.768133 | − | 1.57057i | ||||
\(39\) | 2.17933 | − | 0.855325i | 0.348973 | − | 0.136962i | ||||
\(40\) | −8.05520 | − | 1.36468i | −1.27364 | − | 0.215774i | ||||
\(41\) | 5.53532 | − | 4.41427i | 0.864471 | − | 0.689393i | −0.0873066 | − | 0.996181i | \(-0.527826\pi\) |
0.951778 | + | 0.306789i | \(0.0992545\pi\) | |||||||
\(42\) | −1.74473 | + | 3.30997i | −0.269218 | + | 0.510739i | ||||
\(43\) | −0.978269 | − | 0.780143i | −0.149185 | − | 0.118971i | 0.546053 | − | 0.837750i | \(-0.316130\pi\) |
−0.695238 | + | 0.718780i | \(0.744701\pi\) | |||||||
\(44\) | 1.40909 | + | 1.15199i | 0.212428 | + | 0.173669i | ||||
\(45\) | 2.88045 | + | 0.215860i | 0.429392 | + | 0.0321785i | ||||
\(46\) | −7.01843 | − | 0.0426316i | −1.03481 | − | 0.00628569i | ||||
\(47\) | −2.33568 | + | 2.16719i | −0.340693 | + | 0.316117i | −0.831900 | − | 0.554926i | \(-0.812747\pi\) |
0.491206 | + | 0.871043i | \(0.336556\pi\) | |||||||
\(48\) | −3.24924 | − | 2.33291i | −0.468987 | − | 0.336726i | ||||
\(49\) | −5.40968 | + | 4.44245i | −0.772811 | + | 0.634636i | ||||
\(50\) | −0.733139 | + | 4.67135i | −0.103682 | + | 0.660629i | ||||
\(51\) | −4.60831 | − | 4.96657i | −0.645292 | − | 0.695459i | ||||
\(52\) | −0.754061 | + | 4.62122i | −0.104569 | + | 0.640848i | ||||
\(53\) | 0.936454 | − | 12.4961i | 0.128632 | − | 1.71647i | −0.443470 | − | 0.896289i | \(-0.646253\pi\) |
0.572101 | − | 0.820183i | \(-0.306128\pi\) | |||||||
\(54\) | 1.22043 | + | 0.714533i | 0.166079 | + | 0.0972356i | ||||
\(55\) | 1.63893 | − | 2.05515i | 0.220993 | − | 0.277117i | ||||
\(56\) | −3.91109 | − | 6.37992i | −0.522641 | − | 0.852553i | ||||
\(57\) | −4.75153 | − | 5.95823i | −0.629355 | − | 0.789187i | ||||
\(58\) | 1.27726 | + | 8.83801i | 0.167713 | + | 1.16049i | ||||
\(59\) | 3.10938 | + | 7.92258i | 0.404807 | + | 1.03143i | 0.977364 | + | 0.211566i | \(0.0678565\pi\) |
−0.572557 | + | 0.819865i | \(0.694048\pi\) | |||||||
\(60\) | −3.31207 | + | 4.73334i | −0.427587 | + | 0.611071i | ||||
\(61\) | 5.72219 | − | 0.428819i | 0.732651 | − | 0.0549046i | 0.296821 | − | 0.954933i | \(-0.404074\pi\) |
0.435831 | + | 0.900029i | \(0.356455\pi\) | |||||||
\(62\) | −4.58336 | + | 0.315491i | −0.582087 | + | 0.0400674i | ||||
\(63\) | 1.58632 | + | 2.11745i | 0.199858 | + | 0.266773i | ||||
\(64\) | 7.32944 | − | 3.20614i | 0.916180 | − | 0.400767i | ||||
\(65\) | 6.68699 | + | 1.00790i | 0.829420 | + | 0.125015i | ||||
\(66\) | 1.16289 | − | 0.551344i | 0.143142 | − | 0.0678657i | ||||
\(67\) | −2.42626 | − | 1.40080i | −0.296415 | − | 0.171135i | 0.344416 | − | 0.938817i | \(-0.388077\pi\) |
−0.640831 | + | 0.767682i | \(0.721410\pi\) | |||||||
\(68\) | 13.2463 | − | 2.85454i | 1.60635 | − | 0.346164i | ||||
\(69\) | −2.15331 | + | 4.47139i | −0.259228 | + | 0.538293i | ||||
\(70\) | −9.14498 | + | 5.76016i | −1.09303 | + | 0.688470i | ||||
\(71\) | −1.50026 | − | 3.11532i | −0.178048 | − | 0.369720i | 0.792776 | − | 0.609513i | \(-0.208635\pi\) |
−0.970824 | + | 0.239792i | \(0.922921\pi\) | |||||||
\(72\) | −2.47485 | + | 1.36935i | −0.291664 | + | 0.161379i | ||||
\(73\) | 0.814780 | − | 0.878125i | 0.0953628 | − | 0.102777i | −0.683567 | − | 0.729888i | \(-0.739572\pi\) |
0.778930 | + | 0.627111i | \(0.215763\pi\) | |||||||
\(74\) | −6.07532 | + | 4.78482i | −0.706241 | + | 0.556224i | ||||
\(75\) | 2.76259 | + | 1.88350i | 0.318997 | + | 0.217488i | ||||
\(76\) | 15.0980 | − | 2.08840i | 1.73186 | − | 0.239556i | ||||
\(77\) | 2.40532 | − | 0.107275i | 0.274111 | − | 0.0122251i | ||||
\(78\) | 2.72423 | + | 1.88169i | 0.308458 | + | 0.213059i | ||||
\(79\) | −13.4565 | + | 7.76914i | −1.51398 | + | 0.874096i | −0.514113 | + | 0.857722i | \(0.671879\pi\) |
−0.999866 | + | 0.0163739i | \(0.994788\pi\) | |||||||
\(80\) | −4.75876 | − | 10.5286i | −0.532045 | − | 1.17713i | ||||
\(81\) | 0.826239 | − | 0.563320i | 0.0918043 | − | 0.0625911i | ||||
\(82\) | 9.54961 | + | 3.00931i | 1.05458 | + | 0.332323i | ||||
\(83\) | 1.65216 | − | 7.23858i | 0.181348 | − | 0.794538i | −0.799642 | − | 0.600478i | \(-0.794977\pi\) |
0.980990 | − | 0.194060i | \(-0.0621657\pi\) | |||||||
\(84\) | −5.26112 | + | 0.566274i | −0.574035 | + | 0.0617855i | ||||
\(85\) | −4.35481 | − | 19.0797i | −0.472345 | − | 2.06948i | ||||
\(86\) | 0.142954 | − | 1.76376i | 0.0154151 | − | 0.190191i | ||||
\(87\) | 6.03381 | + | 1.86119i | 0.646893 | + | 0.199540i | ||||
\(88\) | −0.239089 | + | 2.56282i | −0.0254870 | + | 0.273197i | ||||
\(89\) | −3.16589 | − | 10.2636i | −0.335584 | − | 1.08794i | −0.953424 | − | 0.301633i | \(-0.902468\pi\) |
0.617840 | − | 0.786304i | \(-0.288008\pi\) | |||||||
\(90\) | 2.02097 | + | 3.55005i | 0.213029 | + | 0.374208i | ||||
\(91\) | 3.33301 | + | 5.22098i | 0.349394 | + | 0.547307i | ||||
\(92\) | −5.49133 | − | 8.26835i | −0.572511 | − | 0.862036i | ||||
\(93\) | −1.18684 | + | 3.02403i | −0.123070 | + | 0.313577i | ||||
\(94\) | −4.38687 | − | 1.02935i | −0.452471 | − | 0.106169i | ||||
\(95\) | −3.28087 | − | 21.7672i | −0.336611 | − | 2.23327i | ||||
\(96\) | 0.171777 | − | 5.65425i | 0.0175319 | − | 0.577084i | ||||
\(97\) | 14.2125i | 1.44306i | 0.692383 | + | 0.721530i | \(0.256561\pi\) | ||||
−0.692383 | + | 0.721530i | \(0.743439\pi\) | |||||||
\(98\) | −9.48348 | − | 2.83964i | −0.957976 | − | 0.286847i | ||||
\(99\) | − | 0.910028i | − | 0.0914612i | ||||||
\(100\) | −6.05972 | + | 2.82804i | −0.605972 | + | 0.282804i | ||||
\(101\) | 2.30479 | + | 15.2913i | 0.229336 | + | 1.52154i | 0.746343 | + | 0.665561i | \(0.231808\pi\) |
−0.517008 | + | 0.855981i | \(0.672954\pi\) | |||||||
\(102\) | 2.18880 | − | 9.32823i | 0.216724 | − | 0.923632i | ||||
\(103\) | 4.09697 | − | 10.4389i | 0.403686 | − | 1.02858i | −0.574065 | − | 0.818809i | \(-0.694634\pi\) |
0.977752 | − | 0.209766i | \(-0.0672703\pi\) | |||||||
\(104\) | −6.01742 | + | 2.76392i | −0.590057 | + | 0.271024i | ||||
\(105\) | 0.910094 | + | 7.58794i | 0.0888161 | + | 0.740507i | ||||
\(106\) | 15.4010 | − | 8.76747i | 1.49588 | − | 0.851572i | ||||
\(107\) | −4.98496 | − | 16.1608i | −0.481914 | − | 1.56233i | −0.791323 | − | 0.611399i | \(-0.790607\pi\) |
0.309408 | − | 0.950929i | \(-0.399869\pi\) | |||||||
\(108\) | 0.125221 | + | 1.99608i | 0.0120494 | + | 0.192073i | ||||
\(109\) | −8.57895 | − | 2.64626i | −0.821715 | − | 0.253465i | −0.144738 | − | 0.989470i | \(-0.546234\pi\) |
−0.676977 | + | 0.736005i | \(0.736710\pi\) | |||||||
\(110\) | 3.70530 | + | 0.300318i | 0.353287 | + | 0.0286342i | ||||
\(111\) | 1.21680 | + | 5.33117i | 0.115494 | + | 0.506012i | ||||
\(112\) | 4.39756 | − | 9.62608i | 0.415531 | − | 0.909579i | ||||
\(113\) | 0.936117 | − | 4.10140i | 0.0880624 | − | 0.385827i | −0.911620 | − | 0.411035i | \(-0.865168\pi\) |
0.999682 | + | 0.0252077i | \(0.00802471\pi\) | |||||||
\(114\) | 3.23923 | − | 10.2792i | 0.303382 | − | 0.962738i | ||||
\(115\) | −11.8444 | + | 8.07541i | −1.10450 | + | 0.753036i | ||||
\(116\) | −9.36115 | + | 8.47659i | −0.869161 | + | 0.787032i | ||||
\(117\) | 2.02751 | − | 1.17058i | 0.187444 | − | 0.108221i | ||||
\(118\) | −6.84053 | + | 9.90344i | −0.629722 | + | 0.911685i | ||||
\(119\) | 10.5408 | − | 14.4988i | 0.966278 | − | 1.32910i | ||||
\(120\) | −8.16863 | − | 0.148869i | −0.745690 | − | 0.0135898i | ||||
\(121\) | 8.40438 | + | 5.73001i | 0.764034 | + | 0.520910i | ||||
\(122\) | 5.02105 | + | 6.37525i | 0.454584 | + | 0.577188i | ||||
\(123\) | 4.81558 | − | 5.18996i | 0.434206 | − | 0.467963i | ||||
\(124\) | −3.98892 | − | 5.12854i | −0.358216 | − | 0.460556i | ||||
\(125\) | −2.07597 | − | 4.31079i | −0.185680 | − | 0.385569i | ||||
\(126\) | −1.23192 | + | 3.53304i | −0.109748 | + | 0.314748i | ||||
\(127\) | −3.26436 | + | 6.77852i | −0.289665 | + | 0.601496i | −0.994124 | − | 0.108249i | \(-0.965476\pi\) |
0.704458 | + | 0.709745i | \(0.251190\pi\) | |||||||
\(128\) | 9.54865 | + | 6.06822i | 0.843990 | + | 0.536360i | ||||
\(129\) | −1.08362 | − | 0.625626i | −0.0954071 | − | 0.0550833i | ||||
\(130\) | 4.09710 | + | 8.64160i | 0.359339 | + | 0.757919i | ||||
\(131\) | 19.8581 | + | 2.99313i | 1.73501 | + | 0.261511i | 0.939036 | − | 0.343818i | \(-0.111720\pi\) |
0.795975 | + | 0.605329i | \(0.206958\pi\) | |||||||
\(132\) | 1.56504 | + | 0.929109i | 0.136220 | + | 0.0808685i | ||||
\(133\) | 13.0421 | − | 15.3768i | 1.13089 | − | 1.33334i | ||||
\(134\) | −0.272081 | − | 3.95271i | −0.0235042 | − | 0.341462i | ||||
\(135\) | 2.88045 | − | 0.215860i | 0.247910 | − | 0.0185782i | ||||
\(136\) | 13.8078 | + | 13.2881i | 1.18401 | + | 1.13944i | ||||
\(137\) | −0.432023 | − | 1.10078i | −0.0369102 | − | 0.0940456i | 0.911230 | − | 0.411897i | \(-0.135134\pi\) |
−0.948140 | + | 0.317852i | \(0.897039\pi\) | |||||||
\(138\) | −6.94640 | + | 1.00389i | −0.591317 | + | 0.0854566i | ||||
\(139\) | −4.78017 | − | 5.99414i | −0.405449 | − | 0.508416i | 0.536626 | − | 0.843820i | \(-0.319699\pi\) |
−0.942074 | + | 0.335404i | \(0.891127\pi\) | |||||||
\(140\) | −13.9787 | − | 6.18188i | −1.18142 | − | 0.522464i | ||||
\(141\) | −1.98659 | + | 2.49110i | −0.167301 | + | 0.209788i | ||||
\(142\) | 2.47067 | − | 4.21992i | 0.207334 | − | 0.354128i | ||||
\(143\) | 0.159215 | − | 2.12457i | 0.0133142 | − | 0.177666i | ||||
\(144\) | −3.56065 | − | 1.82258i | −0.296721 | − | 0.151881i | ||||
\(145\) | 12.4058 | + | 13.3702i | 1.03024 | + | 1.11034i | ||||
\(146\) | 1.67360 | + | 0.262661i | 0.138508 | + | 0.0217380i | ||||
\(147\) | −4.68714 | + | 5.19911i | −0.386589 | + | 0.428815i | ||||
\(148\) | −10.4107 | − | 3.35032i | −0.855757 | − | 0.275395i | ||||
\(149\) | 3.83401 | − | 3.55744i | 0.314095 | − | 0.291437i | −0.507333 | − | 0.861750i | \(-0.669369\pi\) |
0.821428 | + | 0.570313i | \(0.193178\pi\) | |||||||
\(150\) | −0.0287217 | + | 4.72844i | −0.00234512 | + | 0.386076i | ||||
\(151\) | −0.191220 | − | 0.0143300i | −0.0155613 | − | 0.00116616i | 0.0669472 | − | 0.997757i | \(-0.478674\pi\) |
−0.0825085 | + | 0.996590i | \(0.526293\pi\) | |||||||
\(152\) | 14.3708 | + | 16.0655i | 1.16563 | + | 1.30308i | ||||
\(153\) | −5.29707 | − | 4.22427i | −0.428242 | − | 0.341512i | ||||
\(154\) | 2.02496 | + | 2.73745i | 0.163176 | + | 0.220590i | ||||
\(155\) | −7.33642 | + | 5.85060i | −0.589276 | + | 0.469932i | ||||
\(156\) | −0.0568812 | + | 4.68199i | −0.00455414 | + | 0.374859i | ||||
\(157\) | −8.92455 | + | 3.50263i | −0.712257 | + | 0.279540i | −0.693676 | − | 0.720287i | \(-0.744010\pi\) |
−0.0185809 | + | 0.999827i | \(0.505915\pi\) | |||||||
\(158\) | −19.7400 | − | 9.65443i | −1.57043 | − | 0.768065i | ||||
\(159\) | −0.936454 | − | 12.4961i | −0.0742656 | − | 0.991006i | ||||
\(160\) | 8.59592 | − | 13.8962i | 0.679567 | − | 1.09859i | ||||
\(161\) | −12.7072 | − | 3.30741i | −1.00146 | − | 0.260660i | ||||
\(162\) | 1.31329 | + | 0.524657i | 0.103182 | + | 0.0412209i | ||||
\(163\) | −2.60851 | + | 17.3063i | −0.204314 | + | 1.35554i | 0.617854 | + | 0.786292i | \(0.288002\pi\) |
−0.822169 | + | 0.569244i | \(0.807236\pi\) | |||||||
\(164\) | 4.00901 | + | 13.5805i | 0.313051 | + | 1.06046i | ||||
\(165\) | 1.31432 | − | 2.27647i | 0.102320 | − | 0.177223i | ||||
\(166\) | 9.79745 | − | 3.77670i | 0.760429 | − | 0.293129i | ||||
\(167\) | 17.9977 | + | 8.66722i | 1.39270 | + | 0.670689i | 0.971667 | − | 0.236355i | \(-0.0759529\pi\) |
0.421034 | + | 0.907045i | \(0.361667\pi\) | |||||||
\(168\) | −4.81828 | − | 5.72575i | −0.371739 | − | 0.441751i | ||||
\(169\) | −6.77432 | + | 3.26234i | −0.521101 | + | 0.250949i | ||||
\(170\) | 18.9478 | − | 20.1737i | 1.45323 | − | 1.54725i | ||||
\(171\) | −5.58649 | − | 5.18350i | −0.427209 | − | 0.396392i | ||||
\(172\) | 2.18227 | − | 1.22483i | 0.166397 | − | 0.0933926i | ||||
\(173\) | −3.09959 | + | 4.54626i | −0.235657 | + | 0.345646i | −0.925791 | − | 0.378036i | \(-0.876599\pi\) |
0.690133 | + | 0.723682i | \(0.257552\pi\) | |||||||
\(174\) | 2.58023 | + | 8.54893i | 0.195607 | + | 0.648093i | ||||
\(175\) | −3.47933 | + | 8.13331i | −0.263013 | + | 0.614821i | ||||
\(176\) | −3.19572 | + | 1.74293i | −0.240886 | + | 0.131378i | ||||
\(177\) | 4.25545 | + | 7.37066i | 0.319859 | + | 0.554013i | ||||
\(178\) | 9.54260 | − | 11.8181i | 0.715248 | − | 0.885801i | ||||
\(179\) | 0.0597642 | + | 0.0876581i | 0.00446699 | + | 0.00655187i | 0.828466 | − | 0.560040i | \(-0.189214\pi\) |
−0.823999 | + | 0.566592i | \(0.808262\pi\) | |||||||
\(180\) | −2.56961 | + | 5.17411i | −0.191528 | + | 0.385655i | ||||
\(181\) | −8.69754 | − | 1.98516i | −0.646483 | − | 0.147556i | −0.113307 | − | 0.993560i | \(-0.536144\pi\) |
−0.533176 | + | 0.846004i | \(0.679002\pi\) | |||||||
\(182\) | −3.49420 | + | 8.03278i | −0.259007 | + | 0.595430i | ||||
\(183\) | 5.59437 | − | 1.27688i | 0.413547 | − | 0.0943895i | ||||
\(184\) | 5.36558 | − | 12.9712i | 0.395556 | − | 0.956248i | ||||
\(185\) | −4.65573 | + | 15.0935i | −0.342296 | + | 1.10970i | ||||
\(186\) | −4.48514 | + | 0.995081i | −0.328867 | + | 0.0729629i | ||||
\(187\) | −5.89170 | + | 1.81735i | −0.430844 | + | 0.132898i | ||||
\(188\) | −2.25589 | − | 5.95981i | −0.164528 | − | 0.434664i | ||||
\(189\) | 1.88419 | + | 1.85737i | 0.137055 | + | 0.135104i | ||||
\(190\) | 22.9489 | − | 21.0356i | 1.66489 | − | 1.52608i | ||||
\(191\) | 3.06590 | + | 1.20328i | 0.221841 | + | 0.0870660i | 0.473658 | − | 0.880709i | \(-0.342933\pi\) |
−0.251818 | + | 0.967775i | \(0.581028\pi\) | |||||||
\(192\) | 6.76973 | − | 4.26272i | 0.488563 | − | 0.307636i | ||||
\(193\) | −13.9161 | + | 2.09751i | −1.00170 | + | 0.150982i | −0.629360 | − | 0.777114i | \(-0.716683\pi\) |
−0.372341 | + | 0.928096i | \(0.621445\pi\) | |||||||
\(194\) | −16.6755 | + | 11.2214i | −1.19723 | + | 0.805648i | ||||
\(195\) | 6.76253 | 0.484275 | ||||||||
\(196\) | −4.15587 | − | 13.3689i | −0.296848 | − | 0.954925i | ||||
\(197\) | 3.33898 | 0.237892 | 0.118946 | − | 0.992901i | \(-0.462048\pi\) | ||||
0.118946 | + | 0.992901i | \(0.462048\pi\) | |||||||
\(198\) | 1.06773 | − | 0.718506i | 0.0758804 | − | 0.0510620i | ||||
\(199\) | 4.38074 | − | 0.660290i | 0.310542 | − | 0.0468067i | 0.00807786 | − | 0.999967i | \(-0.497429\pi\) |
0.302465 | + | 0.953161i | \(0.402191\pi\) | |||||||
\(200\) | −8.10254 | − | 4.87698i | −0.572936 | − | 0.344855i | ||||
\(201\) | −2.60794 | − | 1.02354i | −0.183950 | − | 0.0721950i | ||||
\(202\) | −16.1215 | + | 14.7773i | −1.13430 | + | 1.03973i | ||||
\(203\) | −1.75143 | + | 16.6141i | −0.122926 | + | 1.16608i | ||||
\(204\) | 12.6729 | − | 4.79692i | 0.887282 | − | 0.335852i | ||||
\(205\) | 19.5420 | − | 6.02791i | 1.36487 | − | 0.421008i | ||||
\(206\) | 15.4826 | − | 3.43501i | 1.07873 | − | 0.239328i | ||||
\(207\) | −1.46283 | + | 4.74239i | −0.101674 | + | 0.329619i | ||||
\(208\) | −7.99390 | − | 4.87798i | −0.554277 | − | 0.338227i | ||||
\(209\) | −6.76132 | + | 1.54323i | −0.467690 | + | 0.106747i | ||||
\(210\) | −8.18433 | + | 7.05881i | −0.564773 | + | 0.487104i | ||||
\(211\) | 15.1727 | + | 3.46307i | 1.04453 | + | 0.238407i | 0.710165 | − | 0.704036i | \(-0.248620\pi\) |
0.334367 | + | 0.942443i | \(0.391478\pi\) | |||||||
\(212\) | 22.4466 | + | 11.1476i | 1.54164 | + | 0.765622i | ||||
\(213\) | −1.94782 | − | 2.85692i | −0.133462 | − | 0.195753i | ||||
\(214\) | 15.0256 | − | 18.6085i | 1.02713 | − | 1.27205i | ||||
\(215\) | −1.80714 | − | 3.13005i | −0.123246 | − | 0.213468i | ||||
\(216\) | −2.24312 | + | 1.72291i | −0.152625 | + | 0.117229i | ||||
\(217\) | −8.45636 | − | 1.53732i | −0.574055 | − | 0.104360i | ||||
\(218\) | −3.66861 | − | 12.1550i | −0.248470 | − | 0.823239i | ||||
\(219\) | 0.674802 | − | 0.989753i | 0.0455989 | − | 0.0668813i | ||||
\(220\) | 2.57313 | + | 4.58453i | 0.173481 | + | 0.309089i | ||||
\(221\) | −11.6276 | − | 10.7888i | −0.782156 | − | 0.725735i | ||||
\(222\) | −5.29432 | + | 5.63686i | −0.355331 | + | 0.378321i | ||||
\(223\) | 14.8738 | − | 7.16284i | 0.996022 | − | 0.479659i | 0.136435 | − | 0.990649i | \(-0.456435\pi\) |
0.859587 | + | 0.510990i | \(0.170721\pi\) | |||||||
\(224\) | 14.7663 | − | 2.44056i | 0.986615 | − | 0.163067i | ||||
\(225\) | 3.01246 | + | 1.45072i | 0.200831 | + | 0.0967149i | ||||
\(226\) | 5.55125 | − | 2.13989i | 0.369264 | − | 0.142343i | ||||
\(227\) | 10.2612 | − | 17.7729i | 0.681059 | − | 1.17963i | −0.293599 | − | 0.955929i | \(-0.594853\pi\) |
0.974658 | − | 0.223700i | \(-0.0718136\pi\) | |||||||
\(228\) | 14.6181 | − | 4.31531i | 0.968106 | − | 0.285789i | ||||
\(229\) | −2.25605 | + | 14.9679i | −0.149084 | + | 0.989107i | 0.781731 | + | 0.623616i | \(0.214337\pi\) |
−0.930815 | + | 0.365491i | \(0.880901\pi\) | |||||||
\(230\) | −18.8265 | − | 7.52116i | −1.24139 | − | 0.495931i | ||||
\(231\) | 2.36246 | − | 0.464570i | 0.155439 | − | 0.0305665i | ||||
\(232\) | −17.3366 | − | 4.29076i | −1.13820 | − | 0.281702i | ||||
\(233\) | −0.366309 | − | 4.88806i | −0.0239977 | − | 0.320227i | −0.996265 | − | 0.0863531i | \(-0.972479\pi\) |
0.972267 | − | 0.233874i | \(-0.0751404\pi\) | |||||||
\(234\) | 2.97425 | + | 1.45464i | 0.194433 | + | 0.0950931i | ||||
\(235\) | −8.56732 | + | 3.36242i | −0.558870 | + | 0.219340i | ||||
\(236\) | −17.0206 | − | 0.206781i | −1.10794 | − | 0.0134603i | ||||
\(237\) | −12.1483 | + | 9.68796i | −0.789118 | + | 0.629300i | ||||
\(238\) | 25.3338 | + | 0.920133i | 1.64214 | + | 0.0596434i | ||||
\(239\) | −2.02212 | − | 1.61258i | −0.130800 | − | 0.104309i | 0.555905 | − | 0.831246i | \(-0.312372\pi\) |
−0.686705 | + | 0.726937i | \(0.740943\pi\) | |||||||
\(240\) | −6.27481 | − | 9.70175i | −0.405037 | − | 0.626245i | ||||
\(241\) | −26.4851 | − | 1.98479i | −1.70606 | − | 0.127851i | −0.814324 | − | 0.580411i | \(-0.802892\pi\) |
−0.891734 | + | 0.452559i | \(0.850511\pi\) | |||||||
\(242\) | −0.0873773 | + | 14.3849i | −0.00561682 | + | 0.924697i | ||||
\(243\) | 0.733052 | − | 0.680173i | 0.0470253 | − | 0.0436331i | ||||
\(244\) | −3.51572 | + | 10.9247i | −0.225071 | + | 0.699382i | ||||
\(245\) | −19.2339 | + | 6.23629i | −1.22881 | + | 0.398422i | ||||
\(246\) | 9.89146 | + | 1.55240i | 0.630656 | + | 0.0989775i | ||||
\(247\) | −12.1355 | − | 13.0789i | −0.772161 | − | 0.832191i | ||||
\(248\) | 2.86787 | − | 8.72938i | 0.182110 | − | 0.554316i | ||||
\(249\) | 0.554851 | − | 7.40397i | 0.0351623 | − | 0.469208i | ||||
\(250\) | 3.41877 | − | 5.83928i | 0.216222 | − | 0.369309i | ||||
\(251\) | −2.39373 | + | 3.00164i | −0.151091 | + | 0.189462i | −0.851617 | − | 0.524165i | \(-0.824377\pi\) |
0.700526 | + | 0.713627i | \(0.252949\pi\) | |||||||
\(252\) | −5.11795 | + | 1.34408i | −0.322401 | + | 0.0846689i | ||||
\(253\) | 2.81590 | + | 3.53103i | 0.177034 | + | 0.221994i | ||||
\(254\) | −10.5306 | + | 1.52187i | −0.660746 | + | 0.0954905i | ||||
\(255\) | −7.14985 | − | 18.2175i | −0.447741 | − | 1.14082i | ||||
\(256\) | 0.419257 | + | 15.9945i | 0.0262035 | + | 0.999657i | ||||
\(257\) | −3.75591 | + | 0.281467i | −0.234288 | + | 0.0175574i | −0.191356 | − | 0.981521i | \(-0.561289\pi\) |
−0.0429311 | + | 0.999078i | \(0.513670\pi\) | |||||||
\(258\) | −0.121517 | − | 1.76536i | −0.00756532 | − | 0.109907i | ||||
\(259\) | −13.2187 | + | 5.88044i | −0.821371 | + | 0.365392i | ||||
\(260\) | −6.90432 | + | 11.6300i | −0.428188 | + | 0.721263i | ||||
\(261\) | 6.24382 | + | 0.941104i | 0.386483 | + | 0.0582529i | ||||
\(262\) | 12.1670 | + | 25.6626i | 0.751680 | + | 1.58544i | ||||
\(263\) | −12.3845 | − | 7.15022i | −0.763664 | − | 0.440901i | 0.0669459 | − | 0.997757i | \(-0.478675\pi\) |
−0.830610 | + | 0.556855i | \(0.812008\pi\) | |||||||
\(264\) | 0.145549 | + | 2.56983i | 0.00895795 | + | 0.158162i | ||||
\(265\) | 15.7051 | − | 32.6119i | 0.964756 | − | 2.00334i | ||||
\(266\) | 28.3388 | + | 3.16159i | 1.73757 | + | 0.193849i | ||||
\(267\) | −4.66024 | − | 9.67709i | −0.285202 | − | 0.592228i | ||||
\(268\) | 4.42288 | − | 3.44007i | 0.270170 | − | 0.210136i | ||||
\(269\) | −7.80360 | + | 8.41028i | −0.475794 | + | 0.512784i | −0.924649 | − | 0.380821i | \(-0.875641\pi\) |
0.448855 | + | 0.893605i | \(0.351832\pi\) | |||||||
\(270\) | 2.52750 | + | 3.20919i | 0.153819 | + | 0.195305i | ||||
\(271\) | 7.08229 | + | 4.82863i | 0.430219 | + | 0.293318i | 0.759003 | − | 0.651087i | \(-0.225687\pi\) |
−0.328785 | + | 0.944405i | \(0.606639\pi\) | |||||||
\(272\) | −4.68901 | + | 26.6921i | −0.284313 | + | 1.61844i | ||||
\(273\) | 4.07392 | + | 4.66590i | 0.246565 | + | 0.282393i | ||||
\(274\) | 0.950435 | − | 1.37600i | 0.0574179 | − | 0.0831272i | ||||
\(275\) | 2.63510 | − | 1.52137i | 0.158902 | − | 0.0917423i | ||||
\(276\) | −6.66233 | − | 7.35756i | −0.401025 | − | 0.442873i | ||||
\(277\) | −4.71044 | + | 3.21152i | −0.283023 | + | 0.192962i | −0.696508 | − | 0.717549i | \(-0.745264\pi\) |
0.413485 | + | 0.910511i | \(0.364311\pi\) | |||||||
\(278\) | 3.25875 | − | 10.3412i | 0.195447 | − | 0.620223i | ||||
\(279\) | −0.722880 | + | 3.16714i | −0.0432777 | + | 0.189612i | ||||
\(280\) | −3.78363 | − | 21.2820i | −0.226115 | − | 1.27184i | ||||
\(281\) | 1.43938 | + | 6.30633i | 0.0858662 | + | 0.376204i | 0.999543 | − | 0.0302378i | \(-0.00962645\pi\) |
−0.913677 | + | 0.406442i | \(0.866769\pi\) | |||||||
\(282\) | −4.49129 | − | 0.364022i | −0.267452 | − | 0.0216772i | ||||
\(283\) | −9.97053 | − | 3.07550i | −0.592687 | − | 0.182820i | −0.0161204 | − | 0.999870i | \(-0.505132\pi\) |
−0.576566 | + | 0.817050i | \(0.695608\pi\) | |||||||
\(284\) | 6.90192 | − | 0.432982i | 0.409554 | − | 0.0256928i | ||||
\(285\) | −6.48846 | − | 21.0351i | −0.384343 | − | 1.24601i | ||||
\(286\) | 2.61846 | − | 1.49063i | 0.154833 | − | 0.0881431i | ||||
\(287\) | 15.9317 | + | 9.85192i | 0.940416 | + | 0.581540i | ||||
\(288\) | −0.672863 | − | 5.61669i | −0.0396489 | − | 0.330967i | ||||
\(289\) | −10.5596 | + | 26.9054i | −0.621152 | + | 1.58267i | ||||
\(290\) | −5.89235 | + | 25.1120i | −0.346011 | + | 1.47463i | ||||
\(291\) | 2.11826 | + | 14.0538i | 0.124175 | + | 0.823846i | ||||
\(292\) | 1.01320 | + | 2.17101i | 0.0592932 | + | 0.127049i | ||||
\(293\) | 30.9856i | 1.81020i | 0.425199 | + | 0.905100i | \(0.360204\pi\) | ||||
−0.425199 | + | 0.905100i | \(0.639796\pi\) | |||||||
\(294\) | −9.80079 | − | 1.39449i | −0.571593 | − | 0.0813282i | ||||
\(295\) | 24.5840i | 1.43133i | ||||||||
\(296\) | −4.28880 | − | 14.8601i | −0.249282 | − | 0.863725i | ||||
\(297\) | −0.135633 | − | 0.899864i | −0.00787020 | − | 0.0522154i | ||||
\(298\) | 7.20105 | + | 1.68968i | 0.417146 | + | 0.0978803i | ||||
\(299\) | −4.24487 | + | 10.8158i | −0.245487 | + | 0.625491i | ||||
\(300\) | −5.57054 | + | 3.69961i | −0.321615 | + | 0.213597i | ||||
\(301\) | 1.07096 | − | 3.13249i | 0.0617291 | − | 0.180554i | ||||
\(302\) | −0.134163 | − | 0.235672i | −0.00772022 | − | 0.0135614i | ||||
\(303\) | 4.55810 | + | 14.7770i | 0.261856 | + | 0.848917i | ||||
\(304\) | −7.50321 | + | 29.5456i | −0.430339 | + | 1.69456i | ||||
\(305\) | 15.8387 | + | 4.88558i | 0.906919 | + | 0.279747i | ||||
\(306\) | 0.774056 | − | 9.55026i | 0.0442499 | − | 0.545952i | ||||
\(307\) | 5.57198 | + | 24.4125i | 0.318010 | + | 1.39329i | 0.841038 | + | 0.540977i | \(0.181945\pi\) |
−0.523028 | + | 0.852316i | \(0.675198\pi\) | |||||||
\(308\) | −1.61304 | + | 4.53721i | −0.0919115 | + | 0.258532i | ||||
\(309\) | 2.49537 | − | 10.9329i | 0.141957 | − | 0.621953i | ||||
\(310\) | −12.6569 | − | 3.98849i | −0.718864 | − | 0.226531i | ||||
\(311\) | −6.09584 | + | 4.15607i | −0.345663 | + | 0.235669i | −0.723690 | − | 0.690126i | \(-0.757555\pi\) |
0.378026 | + | 0.925795i | \(0.376603\pi\) | |||||||
\(312\) | −5.53827 | + | 3.62990i | −0.313543 | + | 0.205502i | ||||
\(313\) | 10.0383 | − | 5.79562i | 0.567399 | − | 0.327588i | −0.188711 | − | 0.982033i | \(-0.560431\pi\) |
0.756110 | + | 0.654445i | \(0.227098\pi\) | |||||||
\(314\) | −11.1559 | − | 7.70566i | −0.629566 | − | 0.434856i | ||||
\(315\) | 2.03085 | + | 7.36754i | 0.114426 | + | 0.415114i | ||||
\(316\) | −4.25808 | − | 30.7834i | −0.239535 | − | 1.73170i | ||||
\(317\) | −26.2418 | − | 17.8914i | −1.47389 | − | 1.00488i | −0.991667 | − | 0.128830i | \(-0.958878\pi\) |
−0.482221 | − | 0.876050i | \(-0.660170\pi\) | |||||||
\(318\) | 13.9223 | − | 10.9649i | 0.780721 | − | 0.614884i | ||||
\(319\) | 3.90843 | − | 4.21228i | 0.218830 | − | 0.235843i | ||||
\(320\) | 23.0912 | − | 0.886095i | 1.29084 | − | 0.0495342i | ||||
\(321\) | −7.33793 | − | 15.2374i | −0.409563 | − | 0.850467i | ||||
\(322\) | −6.15227 | − | 17.5206i | −0.342853 | − | 0.976384i | ||||
\(323\) | −22.4027 | + | 46.5196i | −1.24652 | + | 2.58842i | ||||
\(324\) | 0.421322 | + | 1.95512i | 0.0234068 | + | 0.108618i | ||||
\(325\) | 6.77914 | + | 3.91394i | 0.376039 | + | 0.217106i | ||||
\(326\) | −22.3650 | + | 10.6035i | −1.23868 | + | 0.587275i | ||||
\(327\) | −8.87754 | − | 1.33807i | −0.490929 | − | 0.0739956i | ||||
\(328\) | −12.7686 | + | 15.4261i | −0.705030 | + | 0.851766i | ||||
\(329\) | −7.48113 | − | 3.88553i | −0.412448 | − | 0.214216i | ||||
\(330\) | 3.70868 | − | 0.255284i | 0.204156 | − | 0.0140529i | ||||
\(331\) | −5.21798 | + | 0.391033i | −0.286806 | + | 0.0214931i | −0.217356 | − | 0.976092i | \(-0.569743\pi\) |
−0.0694496 | + | 0.997585i | \(0.522124\pi\) | |||||||
\(332\) | 12.1667 | + | 8.51343i | 0.667734 | + | 0.467235i | ||||
\(333\) | 1.99778 | + | 5.09027i | 0.109478 | + | 0.278945i | ||||
\(334\) | 4.04072 | + | 27.9597i | 0.221098 | + | 1.52989i | ||||
\(335\) | −5.04559 | − | 6.32697i | −0.275670 | − | 0.345679i | ||||
\(336\) | 2.91375 | − | 10.1740i | 0.158958 | − | 0.555037i | ||||
\(337\) | 8.39945 | − | 10.5326i | 0.457547 | − | 0.573746i | −0.498526 | − | 0.866875i | \(-0.666125\pi\) |
0.956073 | + | 0.293129i | \(0.0946965\pi\) | |||||||
\(338\) | −9.17630 | − | 5.37252i | −0.499125 | − | 0.292227i | ||||
\(339\) | 0.314380 | − | 4.19511i | 0.0170748 | − | 0.227847i | ||||
\(340\) | 38.6298 | + | 6.30336i | 2.09499 | + | 0.341847i | ||||
\(341\) | 2.01080 | + | 2.16713i | 0.108891 | + | 0.117357i | ||||
\(342\) | 1.67101 | − | 10.6472i | 0.0903579 | − | 0.575734i | ||||
\(343\) | −15.8898 | − | 9.51383i | −0.857971 | − | 0.513698i | ||||
\(344\) | 3.16009 | + | 1.59339i | 0.170381 | + | 0.0859101i | ||||
\(345\) | −10.5086 | + | 9.75054i | −0.565763 | + | 0.524951i | ||||
\(346\) | −7.78137 | − | 0.0472659i | −0.418329 | − | 0.00254103i | ||||
\(347\) | −26.8621 | − | 2.01304i | −1.44204 | − | 0.108066i | −0.669394 | − | 0.742908i | \(-0.733446\pi\) |
−0.772642 | + | 0.634842i | \(0.781065\pi\) | |||||||
\(348\) | −7.99322 | + | 9.77712i | −0.428482 | + | 0.524109i | ||||
\(349\) | 15.2921 | + | 12.1951i | 0.818569 | + | 0.652787i | 0.940516 | − | 0.339749i | \(-0.110342\pi\) |
−0.121947 | + | 0.992537i | \(0.538914\pi\) | |||||||
\(350\) | −12.2899 | + | 2.33931i | −0.656921 | + | 0.125042i | ||||
\(351\) | 1.83040 | − | 1.45970i | 0.0976995 | − | 0.0779128i | ||||
\(352\) | −4.56813 | − | 2.37340i | −0.243482 | − | 0.126503i | ||||
\(353\) | −1.72034 | + | 0.675185i | −0.0915647 | + | 0.0359365i | −0.410681 | − | 0.911779i | \(-0.634709\pi\) |
0.319117 | + | 0.947715i | \(0.396614\pi\) | |||||||
\(354\) | −5.28810 | + | 10.8124i | −0.281059 | + | 0.574670i | ||||
\(355\) | −0.746388 | − | 9.95985i | −0.0396141 | − | 0.528614i | ||||
\(356\) | 21.4004 | + | 1.86543i | 1.13422 | + | 0.0988674i | ||||
\(357\) | 8.26218 | − | 15.9079i | 0.437281 | − | 0.841933i | ||||
\(358\) | −0.0556624 | + | 0.139331i | −0.00294185 | + | 0.00736387i | ||||
\(359\) | −0.223547 | + | 1.48314i | −0.0117984 | + | 0.0782770i | −0.993955 | − | 0.109787i | \(-0.964983\pi\) |
0.982157 | + | 0.188064i | \(0.0602212\pi\) | |||||||
\(360\) | −8.09958 | + | 1.07026i | −0.426885 | + | 0.0564079i | ||||
\(361\) | −19.5388 | + | 33.8421i | −1.02836 | + | 1.78117i | ||||
\(362\) | −4.53791 | − | 11.7722i | −0.238507 | − | 0.618731i | ||||
\(363\) | 9.16452 | + | 4.41340i | 0.481013 | + | 0.231643i | ||||
\(364\) | −12.1836 | + | 2.24250i | −0.638597 | + | 0.117539i | ||||
\(365\) | 3.11751 | − | 1.50131i | 0.163178 | − | 0.0785823i | ||||
\(366\) | 5.91515 | + | 5.55570i | 0.309190 | + | 0.290401i | ||||
\(367\) | −13.2067 | − | 12.2540i | −0.689382 | − | 0.639653i | 0.255597 | − | 0.966783i | \(-0.417728\pi\) |
−0.944979 | + | 0.327130i | \(0.893918\pi\) | |||||||
\(368\) | 19.4554 | − | 3.94588i | 1.01418 | − | 0.205693i | ||||
\(369\) | 3.98827 | − | 5.84972i | 0.207621 | − | 0.304524i | ||||
\(370\) | −21.3850 | + | 6.45442i | −1.11175 | + | 0.335549i | ||||
\(371\) | 31.9622 | − | 8.81035i | 1.65940 | − | 0.457410i | ||||
\(372\) | −4.70874 | − | 4.47674i | −0.244137 | − | 0.232108i | ||||
\(373\) | −2.91443 | − | 5.04793i | −0.150903 | − | 0.261372i | 0.780657 | − | 0.624960i | \(-0.214885\pi\) |
−0.931560 | + | 0.363588i | \(0.881552\pi\) | |||||||
\(374\) | −6.78404 | − | 5.47783i | −0.350794 | − | 0.283252i | ||||
\(375\) | −2.69527 | − | 3.95324i | −0.139183 | − | 0.204144i | ||||
\(376\) | 5.21150 | − | 7.35235i | 0.268762 | − | 0.379169i | ||||
\(377\) | 14.4123 | + | 3.28951i | 0.742272 | + | 0.169419i | ||||
\(378\) | −0.691590 | + | 3.67719i | −0.0355715 | + | 0.189134i | ||||
\(379\) | −31.6215 | + | 7.21740i | −1.62429 | + | 0.370733i | −0.935248 | − | 0.353992i | \(-0.884824\pi\) |
−0.689038 | + | 0.724725i | \(0.741967\pi\) | |||||||
\(380\) | 42.8001 | + | 10.3174i | 2.19560 | + | 0.529273i | ||||
\(381\) | −2.21762 | + | 7.18934i | −0.113612 | + | 0.368321i | ||||
\(382\) | 1.00886 | + | 4.54724i | 0.0516177 | + | 0.232657i | ||||
\(383\) | 20.8424 | − | 6.42904i | 1.06500 | − | 0.328508i | 0.287752 | − | 0.957705i | \(-0.407092\pi\) |
0.777246 | + | 0.629197i | \(0.216616\pi\) | |||||||
\(384\) | 10.3464 | + | 4.57729i | 0.527989 | + | 0.233584i | ||||
\(385\) | 6.58075 | + | 2.24988i | 0.335386 | + | 0.114664i | ||||
\(386\) | −13.4483 | − | 14.6716i | −0.684503 | − | 0.746765i | ||||
\(387\) | −1.16476 | − | 0.457134i | −0.0592080 | − | 0.0232374i | ||||
\(388\) | −26.3320 | − | 10.7055i | −1.33680 | − | 0.543489i | ||||
\(389\) | 15.4663 | − | 2.33116i | 0.784170 | − | 0.118195i | 0.255260 | − | 0.966872i | \(-0.417839\pi\) |
0.528910 | + | 0.848678i | \(0.322601\pi\) | |||||||
\(390\) | 5.33930 | + | 7.93444i | 0.270366 | + | 0.401776i | ||||
\(391\) | 33.6245 | 1.70046 | ||||||||
\(392\) | 12.4045 | − | 15.4314i | 0.626521 | − | 0.779404i | ||||
\(393\) | 20.0824 | 1.01302 | ||||||||
\(394\) | 2.63626 | + | 3.91761i | 0.132813 | + | 0.197366i | ||||
\(395\) | −44.3814 | + | 6.68942i | −2.23307 | + | 0.336581i | ||||
\(396\) | 1.68604 | + | 0.685474i | 0.0847267 | + | 0.0344463i | ||||
\(397\) | −12.3446 | − | 4.84489i | −0.619556 | − | 0.243158i | 0.0347397 | − | 0.999396i | \(-0.488940\pi\) |
−0.654296 | + | 0.756238i | \(0.727035\pi\) | |||||||
\(398\) | 4.23350 | + | 4.61857i | 0.212206 | + | 0.231508i | ||||
\(399\) | 10.6046 | − | 17.1489i | 0.530896 | − | 0.858518i | ||||
\(400\) | −0.675158 | − | 13.3573i | −0.0337579 | − | 0.667863i | ||||
\(401\) | 28.9992 | − | 8.94507i | 1.44815 | − | 0.446696i | 0.531731 | − | 0.846913i | \(-0.321542\pi\) |
0.916420 | + | 0.400217i | \(0.131065\pi\) | |||||||
\(402\) | −0.858164 | − | 3.86801i | −0.0428013 | − | 0.192919i | ||||
\(403\) | −2.24176 | + | 7.26761i | −0.111670 | + | 0.362026i | ||||
\(404\) | −30.0668 | − | 7.24793i | −1.49588 | − | 0.360598i | ||||
\(405\) | 2.81610 | − | 0.642757i | 0.139933 | − | 0.0319389i | ||||
\(406\) | −20.8761 | + | 11.0626i | −1.03606 | + | 0.549028i | ||||
\(407\) | 4.85151 | + | 1.10733i | 0.240481 | + | 0.0548881i | ||||
\(408\) | 15.6340 | + | 11.0817i | 0.773999 | + | 0.548626i | ||||
\(409\) | 4.53050 | + | 6.64502i | 0.224019 | + | 0.328575i | 0.921750 | − | 0.387784i | \(-0.126760\pi\) |
−0.697732 | + | 0.716359i | \(0.745807\pi\) | |||||||
\(410\) | 22.5018 | + | 18.1693i | 1.11128 | + | 0.897316i | ||||
\(411\) | −0.591259 | − | 1.02409i | −0.0291647 | − | 0.0505147i | ||||
\(412\) | 16.2545 | + | 15.4536i | 0.800801 | + | 0.761346i | ||||
\(413\) | −16.9621 | + | 14.8100i | −0.834648 | + | 0.728754i | ||||
\(414\) | −6.71919 | + | 2.02798i | −0.330230 | + | 0.0996699i | ||||
\(415\) | 12.0813 | − | 17.7200i | 0.593046 | − | 0.869839i | ||||
\(416\) | −0.588209 | − | 13.2306i | −0.0288393 | − | 0.648683i | ||||
\(417\) | −5.62016 | − | 5.21474i | −0.275220 | − | 0.255367i | ||||
\(418\) | −7.14901 | − | 6.71458i | −0.349669 | − | 0.328421i | ||||
\(419\) | 4.60336 | − | 2.21686i | 0.224889 | − | 0.108301i | −0.318047 | − | 0.948075i | \(-0.603027\pi\) |
0.542936 | + | 0.839774i | \(0.317313\pi\) | |||||||
\(420\) | −14.7439 | − | 4.02941i | −0.719431 | − | 0.196615i | ||||
\(421\) | −30.5641 | − | 14.7189i | −1.48960 | − | 0.717355i | −0.500659 | − | 0.865644i | \(-0.666909\pi\) |
−0.988944 | + | 0.148289i | \(0.952623\pi\) | |||||||
\(422\) | 7.91629 | + | 20.5363i | 0.385359 | + | 0.999691i | ||||
\(423\) | −1.59312 | + | 2.75936i | −0.0774600 | + | 0.134165i | ||||
\(424\) | 4.64307 | + | 35.1380i | 0.225488 | + | 1.70645i | ||||
\(425\) | 3.37631 | − | 22.4004i | 0.163775 | − | 1.08658i | ||||
\(426\) | 1.81413 | − | 4.54103i | 0.0878949 | − | 0.220013i | ||||
\(427\) | 6.17075 | + | 13.8713i | 0.298623 | + | 0.671280i | ||||
\(428\) | 33.6966 | + | 2.93727i | 1.62879 | + | 0.141978i | ||||
\(429\) | −0.159215 | − | 2.12457i | −0.00768696 | − | 0.102575i | ||||
\(430\) | 2.24567 | − | 4.59162i | 0.108296 | − | 0.221427i | ||||
\(431\) | 8.90403 | − | 3.49458i | 0.428892 | − | 0.168328i | −0.141068 | − | 0.990000i | \(-0.545054\pi\) |
0.569960 | + | 0.821672i | \(0.306958\pi\) | |||||||
\(432\) | −3.79252 | − | 1.27153i | −0.182468 | − | 0.0611766i | ||||
\(433\) | 25.1022 | − | 20.0183i | 1.20633 | − | 0.962020i | 0.206470 | − | 0.978453i | \(-0.433803\pi\) |
0.999865 | + | 0.0164333i | \(0.00523113\pi\) | |||||||
\(434\) | −4.87294 | − | 11.1356i | −0.233908 | − | 0.534525i | ||||
\(435\) | 14.2599 | + | 11.3719i | 0.683711 | + | 0.545242i | ||||
\(436\) | 11.3649 | − | 13.9012i | 0.544278 | − | 0.665748i | ||||
\(437\) | 37.7156 | + | 2.82639i | 1.80418 | + | 0.135205i | ||||
\(438\) | 1.69406 | + | 0.0102901i | 0.0809452 | + | 0.000491680i | ||||
\(439\) | 18.4312 | − | 17.1016i | 0.879671 | − | 0.816215i | −0.104300 | − | 0.994546i | \(-0.533260\pi\) |
0.983971 | + | 0.178331i | \(0.0570697\pi\) | |||||||
\(440\) | −3.34741 | + | 6.63873i | −0.159582 | + | 0.316489i | ||||
\(441\) | −3.85990 | + | 5.83962i | −0.183805 | + | 0.278077i | ||||
\(442\) | 3.47800 | − | 22.1608i | 0.165432 | − | 1.05408i | ||||
\(443\) | 10.8706 | + | 11.7158i | 0.516479 | + | 0.556632i | 0.936403 | − | 0.350927i | \(-0.114134\pi\) |
−0.419923 | + | 0.907560i | \(0.637943\pi\) | |||||||
\(444\) | −10.7938 | − | 1.76126i | −0.512251 | − | 0.0835857i | ||||
\(445\) | 2.31850 | − | 30.9382i | 0.109907 | − | 1.46661i | ||||
\(446\) | 20.1476 | + | 11.7960i | 0.954017 | + | 0.558556i | ||||
\(447\) | 3.26098 | − | 4.08914i | 0.154239 | − | 0.193410i | ||||
\(448\) | 14.5221 | + | 15.3983i | 0.686106 | + | 0.727502i | ||||
\(449\) | 21.0358 | + | 26.3780i | 0.992739 | + | 1.24486i | 0.969491 | + | 0.245125i | \(0.0788291\pi\) |
0.0232473 | + | 0.999730i | \(0.492599\pi\) | |||||||
\(450\) | 0.676337 | + | 4.67991i | 0.0318828 | + | 0.220613i | ||||
\(451\) | −2.35387 | − | 5.99756i | −0.110839 | − | 0.282414i | ||||
\(452\) | 6.89367 | + | 4.82373i | 0.324251 | + | 0.226889i | ||||
\(453\) | −0.191220 | + | 0.0143300i | −0.00898431 | + | 0.000673281i | ||||
\(454\) | 28.9545 | − | 1.99306i | 1.35890 | − | 0.0935388i | ||||
\(455\) | 3.45228 | + | 17.5557i | 0.161845 | + | 0.823026i | ||||
\(456\) | 16.6047 | + | 13.7442i | 0.777588 | + | 0.643631i | ||||
\(457\) | −6.90905 | − | 1.04137i | −0.323192 | − | 0.0487133i | −0.0145573 | − | 0.999894i | \(-0.504634\pi\) |
−0.308635 | + | 0.951181i | \(0.599872\pi\) | |||||||
\(458\) | −19.3430 | + | 9.17078i | −0.903840 | + | 0.428523i | ||||
\(459\) | −5.86750 | − | 3.38760i | −0.273871 | − | 0.158120i | ||||
\(460\) | −6.03981 | − | 28.0274i | −0.281608 | − | 1.30678i | ||||
\(461\) | −15.9247 | + | 33.0680i | −0.741688 | + | 1.54013i | 0.0968571 | + | 0.995298i | \(0.469121\pi\) |
−0.838545 | + | 0.544832i | \(0.816593\pi\) | |||||||
\(462\) | 2.41034 | + | 2.40507i | 0.112139 | + | 0.111894i | ||||
\(463\) | −12.6198 | − | 26.2054i | −0.586494 | − | 1.21787i | −0.957284 | − | 0.289150i | \(-0.906627\pi\) |
0.370790 | − | 0.928717i | \(-0.379087\pi\) | |||||||
\(464\) | −8.65364 | − | 23.7287i | −0.401735 | − | 1.10158i | ||||
\(465\) | −6.38249 | + | 6.87869i | −0.295981 | + | 0.318992i | ||||
\(466\) | 5.44592 | − | 4.28912i | 0.252277 | − | 0.198690i | ||||
\(467\) | 12.8582 | + | 8.76655i | 0.595005 | + | 0.405668i | 0.823038 | − | 0.567986i | \(-0.192277\pi\) |
−0.228033 | + | 0.973653i | \(0.573229\pi\) | |||||||
\(468\) | 0.641569 | + | 4.63818i | 0.0296565 | + | 0.214400i | ||||
\(469\) | 1.32579 | − | 7.29282i | 0.0612193 | − | 0.336751i | ||||
\(470\) | −10.7094 | − | 7.39722i | −0.493987 | − | 0.341208i | ||||
\(471\) | −8.30284 | + | 4.79364i | −0.382574 | + | 0.220879i | ||||
\(472\) | −13.1958 | − | 20.1334i | −0.607388 | − | 0.926715i | ||||
\(473\) | −0.940817 | + | 0.641438i | −0.0432588 | + | 0.0294934i | ||||
\(474\) | −20.9584 | − | 6.60451i | −0.962653 | − | 0.303355i | ||||
\(475\) | 5.67004 | − | 24.8421i | 0.260159 | − | 1.13983i | ||||
\(476\) | 18.9225 | + | 30.4505i | 0.867312 | + | 1.39570i | ||||
\(477\) | −2.78844 | − | 12.2170i | −0.127674 | − | 0.559376i | ||||
\(478\) | 0.295491 | − | 3.64575i | 0.0135154 | − | 0.166753i | ||||
\(479\) | −27.9533 | − | 8.62246i | −1.27722 | − | 0.393970i | −0.419344 | − | 0.907827i | \(-0.637740\pi\) |
−0.857876 | + | 0.513857i | \(0.828216\pi\) | |||||||
\(480\) | 6.42879 | − | 15.0222i | 0.293433 | − | 0.685664i | ||||
\(481\) | 3.77350 | + | 12.2334i | 0.172057 | + | 0.557794i | ||||
\(482\) | −18.5824 | − | 32.6420i | −0.846406 | − | 1.48680i | ||||
\(483\) | −13.0582 | − | 1.37657i | −0.594167 | − | 0.0626360i | ||||
\(484\) | −16.9467 | + | 11.2550i | −0.770306 | + | 0.511590i | ||||
\(485\) | −14.9984 | + | 38.2153i | −0.681042 | + | 1.73527i | ||||
\(486\) | 1.37682 | + | 0.323061i | 0.0624538 | + | 0.0146543i | ||||
\(487\) | −2.52070 | − | 16.7238i | −0.114224 | − | 0.757827i | −0.970464 | − | 0.241248i | \(-0.922443\pi\) |
0.856239 | − | 0.516579i | \(-0.172795\pi\) | |||||||
\(488\) | −15.5937 | + | 4.50054i | −0.705894 | + | 0.203730i | ||||
\(489\) | 17.5018i | 0.791459i | ||||||||
\(490\) | −22.5030 | − | 17.6433i | −1.01658 | − | 0.797042i | ||||
\(491\) | 0.660501i | 0.0298080i | 0.999889 | + | 0.0149040i | \(0.00474427\pi\) | ||||
−0.999889 | + | 0.0149040i | \(0.995256\pi\) | |||||||
\(492\) | 5.98830 | + | 12.8313i | 0.269974 | + | 0.578479i | ||||
\(493\) | −6.37617 | − | 42.3031i | −0.287168 | − | 1.90524i | ||||
\(494\) | 5.76397 | − | 24.5648i | 0.259333 | − | 1.10522i | ||||
\(495\) | 0.960349 | − | 2.44693i | 0.0431645 | − | 0.109981i | ||||
\(496\) | 12.5064 | − | 3.52736i | 0.561556 | − | 0.158383i | ||||
\(497\) | 6.42230 | − | 6.51506i | 0.288080 | − | 0.292240i | ||||
\(498\) | 9.12513 | − | 5.19475i | 0.408907 | − | 0.232782i | ||||
\(499\) | 6.47504 | + | 20.9916i | 0.289862 | + | 0.939711i | 0.977010 | + | 0.213193i | \(0.0683864\pi\) |
−0.687148 | + | 0.726518i | \(0.741137\pi\) | |||||||
\(500\) | 9.55047 | − | 0.599135i | 0.427110 | − | 0.0267941i | ||||
\(501\) | 19.0884 | + | 5.88800i | 0.852808 | + | 0.263056i | ||||
\(502\) | −5.41176 | − | 0.438627i | −0.241539 | − | 0.0195769i | ||||
\(503\) | −2.94303 | − | 12.8943i | −0.131223 | − | 0.574927i | −0.997196 | − | 0.0748353i | \(-0.976157\pi\) |
0.865973 | − | 0.500091i | \(-0.166700\pi\) | |||||||
\(504\) | −5.61784 | − | 4.94367i | −0.250239 | − | 0.220208i | ||||
\(505\) | −9.93962 | + | 43.5483i | −0.442307 | + | 1.93787i | ||||
\(506\) | −1.91966 | + | 6.09178i | −0.0853395 | + | 0.270813i | ||||
\(507\) | −6.21243 | + | 4.23556i | −0.275904 | + | 0.188108i | ||||
\(508\) | −10.0999 | − | 11.1539i | −0.448112 | − | 0.494873i | ||||
\(509\) | −17.8365 | + | 10.2979i | −0.790590 | + | 0.456448i | −0.840170 | − | 0.542323i | \(-0.817545\pi\) |
0.0495799 | + | 0.998770i | \(0.484212\pi\) | |||||||
\(510\) | 15.7294 | − | 22.7724i | 0.696510 | − | 1.00838i | ||||
\(511\) | 2.91392 | + | 1.24654i | 0.128904 | + | 0.0551436i | ||||
\(512\) | −18.4353 | + | 13.1203i | −0.814731 | + | 0.579839i | ||||
\(513\) | −6.29665 | − | 4.29298i | −0.278004 | − | 0.189540i | ||||
\(514\) | −3.29570 | − | 4.18457i | −0.145367 | − | 0.184573i | ||||
\(515\) | 22.0323 | − | 23.7451i | 0.970858 | − | 1.04634i | ||||
\(516\) | 1.97535 | − | 1.53640i | 0.0869598 | − | 0.0676364i | ||||
\(517\) | 1.25807 | + | 2.61242i | 0.0553300 | + | 0.114894i | ||||
\(518\) | −17.3362 | − | 10.8666i | −0.761710 | − | 0.477451i | ||||
\(519\) | −2.38738 | + | 4.95745i | −0.104795 | + | 0.217608i | ||||
\(520\) | −19.0967 | + | 1.08160i | −0.837446 | + | 0.0474311i | ||||
\(521\) | −13.8507 | − | 7.99669i | −0.606809 | − | 0.350341i | 0.164907 | − | 0.986309i | \(-0.447268\pi\) |
−0.771715 | + | 0.635968i | \(0.780601\pi\) | |||||||
\(522\) | 3.82557 | + | 8.06888i | 0.167441 | + | 0.353165i | ||||
\(523\) | 22.0813 | + | 3.32822i | 0.965549 | + | 0.145533i | 0.612846 | − | 0.790202i | \(-0.290025\pi\) |
0.352703 | + | 0.935735i | \(0.385263\pi\) | |||||||
\(524\) | −20.5035 | + | 34.5372i | −0.895699 | + | 1.50877i | ||||
\(525\) | −2.22826 | + | 8.56104i | −0.0972493 | + | 0.373634i | ||||
\(526\) | −1.38881 | − | 20.1761i | −0.0605548 | − | 0.879721i | ||||
\(527\) | 21.9483 | − | 1.64480i | 0.956084 | − | 0.0716486i | ||||
\(528\) | −2.90025 | + | 2.19976i | −0.126217 | + | 0.0957324i | ||||
\(529\) | −0.595545 | − | 1.51742i | −0.0258932 | − | 0.0659749i | ||||
\(530\) | 50.6633 | − | 7.32182i | 2.20067 | − | 0.318039i | ||||
\(531\) | 5.30646 | + | 6.65409i | 0.230281 | + | 0.288763i | ||||
\(532\) | 18.6652 | + | 35.7460i | 0.809241 | + | 1.54979i | ||||
\(533\) | 10.3345 | − | 12.9591i | 0.447639 | − | 0.561321i | ||||
\(534\) | 7.67463 | − | 13.1083i | 0.332114 | − | 0.567252i | ||||
\(535\) | 3.65066 | − | 48.7147i | 0.157832 | − | 2.10612i | ||||
\(536\) | 7.52827 | + | 2.47327i | 0.325172 | + | 0.106829i | ||||
\(537\) | 0.0721615 | + | 0.0777716i | 0.00311400 | + | 0.00335609i | ||||
\(538\) | −16.0290 | − | 2.51565i | −0.691060 | − | 0.108457i | ||||
\(539\) | 2.41208 | + | 5.89587i | 0.103896 | + | 0.253953i | ||||
\(540\) | −1.76975 | + | 5.49930i | −0.0761580 | + | 0.236652i | ||||
\(541\) | 18.7496 | − | 17.3971i | 0.806108 | − | 0.747959i | −0.165079 | − | 0.986280i | \(-0.552788\pi\) |
0.971186 | + | 0.238322i | \(0.0765973\pi\) | |||||||
\(542\) | −0.0736320 | + | 12.1220i | −0.00316277 | + | 0.520686i | ||||
\(543\) | −8.89627 | − | 0.666683i | −0.381776 | − | 0.0286101i | ||||
\(544\) | −35.0199 | + | 15.5729i | −1.50146 | + | 0.667684i | ||||
\(545\) | −20.2749 | − | 16.1687i | −0.868483 | − | 0.692592i | ||||
\(546\) | −2.25795 | + | 8.46385i | −0.0966312 | + | 0.362219i | ||||
\(547\) | −6.06691 | + | 4.83820i | −0.259403 | + | 0.206867i | −0.744552 | − | 0.667565i | \(-0.767337\pi\) |
0.485149 | + | 0.874431i | \(0.338765\pi\) | |||||||
\(548\) | 2.36486 | + | 0.0287305i | 0.101022 | + | 0.00122731i | ||||
\(549\) | 5.34157 | − | 2.09641i | 0.227973 | − | 0.0894727i | ||||
\(550\) | 3.86554 | + | 1.89056i | 0.164827 | + | 0.0806136i | ||||
\(551\) | −3.59607 | − | 47.9862i | −0.153198 | − | 2.04428i | ||||
\(552\) | 3.37240 | − | 13.6260i | 0.143539 | − | 0.579961i | ||||
\(553\) | −31.3520 | − | 26.5917i | −1.33322 | − | 1.13079i | ||||
\(554\) | −7.48716 | − | 2.99110i | −0.318099 | − | 0.127080i | ||||
\(555\) | −2.35416 | + | 15.6188i | −0.0999284 | + | 0.662982i | ||||
\(556\) | 14.7062 | − | 4.34132i | 0.623681 | − | 0.184113i | ||||
\(557\) | −13.2564 | + | 22.9607i | −0.561690 | + | 0.972876i | 0.435659 | + | 0.900112i | \(0.356515\pi\) |
−0.997349 | + | 0.0727640i | \(0.976818\pi\) | |||||||
\(558\) | −4.28674 | + | 1.65244i | −0.181472 | + | 0.0699535i | ||||
\(559\) | −2.63929 | − | 1.27102i | −0.111630 | − | 0.0537583i | ||||
\(560\) | 21.9828 | − | 21.2424i | 0.928941 | − | 0.897654i | ||||
\(561\) | −5.55503 | + | 2.67516i | −0.234534 | + | 0.112945i | ||||
\(562\) | −6.26274 | + | 6.66794i | −0.264178 | + | 0.281270i | ||||
\(563\) | 24.0345 | + | 22.3008i | 1.01293 | + | 0.939866i | 0.998197 | − | 0.0600257i | \(-0.0191183\pi\) |
0.0147375 | + | 0.999891i | \(0.495309\pi\) | |||||||
\(564\) | −3.11896 | − | 5.55702i | −0.131332 | − | 0.233993i | ||||
\(565\) | 6.84527 | − | 10.0402i | 0.287983 | − | 0.422393i | ||||
\(566\) | −4.26369 | − | 14.1266i | −0.179216 | − | 0.593786i | ||||
\(567\) | 2.13998 | + | 1.55580i | 0.0898705 | + | 0.0653374i | ||||
\(568\) | 5.95738 | + | 7.75613i | 0.249966 | + | 0.325440i | ||||
\(569\) | −8.41066 | − | 14.5677i | −0.352593 | − | 0.610709i | 0.634110 | − | 0.773243i | \(-0.281367\pi\) |
−0.986703 | + | 0.162534i | \(0.948033\pi\) | |||||||
\(570\) | 19.5574 | − | 24.2210i | 0.819171 | − | 1.01450i | ||||
\(571\) | −4.88705 | − | 7.16798i | −0.204517 | − | 0.299971i | 0.710253 | − | 0.703946i | \(-0.248580\pi\) |
−0.914770 | + | 0.403976i | \(0.867628\pi\) | |||||||
\(572\) | 3.81634 | + | 1.89530i | 0.159569 | + | 0.0792467i | ||||
\(573\) | 3.21099 | + | 0.732888i | 0.134141 | + | 0.0306169i | ||||
\(574\) | 1.01952 | + | 26.4711i | 0.0425538 | + | 1.10488i | ||||
\(575\) | −16.1777 | + | 3.69246i | −0.674657 | + | 0.153986i | ||||
\(576\) | 6.05879 | − | 5.22409i | 0.252449 | − | 0.217670i | ||||
\(577\) | 7.32470 | − | 23.7461i | 0.304931 | − | 0.988563i | −0.665339 | − | 0.746541i | \(-0.731713\pi\) |
0.970271 | − | 0.242022i | \(-0.0778106\pi\) | |||||||
\(578\) | −39.9052 | + | 8.85343i | −1.65984 | + | 0.368254i | ||||
\(579\) | −13.4480 | + | 4.14817i | −0.558881 | + | 0.172392i | ||||
\(580\) | −34.1161 | + | 12.9135i | −1.41659 | + | 0.536205i | ||||
\(581\) | 19.5042 | − | 2.33933i | 0.809171 | − | 0.0970517i | ||||
\(582\) | −14.8168 | + | 13.5814i | −0.614174 | + | 0.562967i | ||||
\(583\) | −10.6154 | − | 4.16624i | −0.439645 | − | 0.172548i | ||||
\(584\) | −1.74727 | + | 2.90289i | −0.0723027 | + | 0.120123i | ||||
\(585\) | 6.68699 | − | 1.00790i | 0.276473 | − | 0.0416716i | ||||
\(586\) | −36.3553 | + | 24.4645i | −1.50182 | + | 1.01062i | ||||
\(587\) | −19.8904 | −0.820964 | −0.410482 | − | 0.911869i | \(-0.634640\pi\) | ||||
−0.410482 | + | 0.911869i | \(0.634640\pi\) | |||||||
\(588\) | −6.10199 | − | 12.6002i | −0.251642 | − | 0.519625i | ||||
\(589\) | 24.7571 | 1.02010 | ||||||||
\(590\) | −28.8442 | + | 19.4101i | −1.18750 | + | 0.799101i | ||||
\(591\) | 3.30168 | − | 0.497649i | 0.135813 | − | 0.0204705i | ||||
\(592\) | 14.0491 | − | 16.7647i | 0.577413 | − | 0.689025i | ||||
\(593\) | −6.60290 | − | 2.59145i | −0.271149 | − | 0.106418i | 0.225871 | − | 0.974157i | \(-0.427477\pi\) |
−0.497020 | + | 0.867739i | \(0.665572\pi\) | |||||||
\(594\) | 0.948718 | − | 0.869618i | 0.0389264 | − | 0.0356808i | ||||
\(595\) | 43.6433 | − | 27.8613i | 1.78920 | − | 1.14220i | ||||
\(596\) | 3.70305 | + | 9.78303i | 0.151683 | + | 0.400729i | ||||
\(597\) | 4.23340 | − | 1.30583i | 0.173261 | − | 0.0534441i | ||||
\(598\) | −16.0416 | + | 3.55901i | −0.655989 | + | 0.145539i | ||||
\(599\) | −0.313553 | + | 1.01651i | −0.0128114 | + | 0.0415336i | −0.961753 | − | 0.273919i | \(-0.911680\pi\) |
0.948941 | + | 0.315452i | \(0.102156\pi\) | |||||||
\(600\) | −8.73891 | − | 3.61489i | −0.356765 | − | 0.147577i | ||||
\(601\) | 4.53709 | − | 1.03556i | 0.185072 | − | 0.0422414i | −0.128981 | − | 0.991647i | \(-0.541170\pi\) |
0.314052 | + | 0.949406i | \(0.398313\pi\) | |||||||
\(602\) | 4.52090 | − | 1.21668i | 0.184258 | − | 0.0495882i | ||||
\(603\) | −2.73136 | − | 0.623416i | −0.111230 | − | 0.0253874i | ||||
\(604\) | 0.170585 | − | 0.343486i | 0.00694101 | − | 0.0139762i | ||||
\(605\) | 16.5513 | + | 24.2763i | 0.672905 | + | 0.986970i | ||||
\(606\) | −13.7390 | + | 17.0151i | −0.558108 | + | 0.691190i | ||||
\(607\) | −6.01703 | − | 10.4218i | −0.244224 | − | 0.423008i | 0.717689 | − | 0.696363i | \(-0.245200\pi\) |
−0.961913 | + | 0.273356i | \(0.911866\pi\) | |||||||
\(608\) | −40.5898 | + | 14.5240i | −1.64613 | + | 0.589027i | ||||
\(609\) | 0.744340 | + | 16.6896i | 0.0301622 | + | 0.676296i | ||||
\(610\) | 6.77307 | + | 22.4408i | 0.274234 | + | 0.908601i | ||||
\(611\) | −4.20210 | + | 6.16334i | −0.169999 | + | 0.249342i | ||||
\(612\) | 11.8164 | − | 6.63214i | 0.477651 | − | 0.268089i | ||||
\(613\) | 30.4716 | + | 28.2735i | 1.23074 | + | 1.14196i | 0.984988 | + | 0.172622i | \(0.0552239\pi\) |
0.245748 | + | 0.969334i | \(0.420967\pi\) | |||||||
\(614\) | −24.2437 | + | 25.8123i | −0.978396 | + | 1.04170i | ||||
\(615\) | 18.4253 | − | 8.87317i | 0.742981 | − | 0.357801i | ||||
\(616\) | −6.59706 | + | 1.68975i | −0.265803 | + | 0.0680821i | ||||
\(617\) | 8.53932 | + | 4.11232i | 0.343780 | + | 0.165556i | 0.597804 | − | 0.801642i | \(-0.296040\pi\) |
−0.254024 | + | 0.967198i | \(0.581754\pi\) | |||||||
\(618\) | 14.7978 | − | 5.70421i | 0.595253 | − | 0.229457i | ||||
\(619\) | −4.70578 | + | 8.15066i | −0.189141 | + | 0.327603i | −0.944964 | − | 0.327174i | \(-0.893904\pi\) |
0.755823 | + | 0.654776i | \(0.227237\pi\) | |||||||
\(620\) | −5.31349 | − | 17.9994i | −0.213395 | − | 0.722872i | ||||
\(621\) | −0.739678 | + | 4.90744i | −0.0296822 | + | 0.196929i | ||||
\(622\) | −9.68923 | − | 3.87082i | −0.388503 | − | 0.155206i | ||||
\(623\) | 22.7430 | − | 17.0383i | 0.911179 | − | 0.682625i | ||||
\(624\) | −8.63164 | − | 3.63207i | −0.345542 | − | 0.145399i | ||||
\(625\) | −2.28214 | − | 30.4530i | −0.0912854 | − | 1.21812i | ||||
\(626\) | 14.7257 | + | 7.20202i | 0.588556 | + | 0.287850i | ||||
\(627\) | −6.45579 | + | 2.53371i | −0.257819 | + | 0.101187i | ||||
\(628\) | 0.232933 | − | 19.1732i | 0.00929505 | − | 0.765092i | ||||
\(629\) | 28.9658 | − | 23.0994i | 1.15494 | − | 0.921035i | ||||
\(630\) | −7.04086 | + | 8.19978i | −0.280515 | + | 0.326687i | ||||
\(631\) | 29.4000 | + | 23.4457i | 1.17040 | + | 0.933360i | 0.998658 | − | 0.0517822i | \(-0.0164902\pi\) |
0.171738 | + | 0.985143i | \(0.445062\pi\) | |||||||
\(632\) | 32.7561 | − | 29.3008i | 1.30297 | − | 1.16552i | ||||
\(633\) | 15.5194 | + | 1.16302i | 0.616840 | + | 0.0462257i | ||||
\(634\) | 0.272827 | − | 44.9154i | 0.0108353 | − | 1.78382i | ||||
\(635\) | −15.9307 | + | 14.7816i | −0.632192 | + | 0.586589i | ||||
\(636\) | 23.8573 | + | 7.67763i | 0.946005 | + | 0.304438i | ||||
\(637\) | −10.0331 | + | 12.9580i | −0.397526 | + | 0.513414i | ||||
\(638\) | 8.02812 | + | 1.25996i | 0.317836 | + | 0.0498824i | ||||
\(639\) | −2.35186 | − | 2.53471i | −0.0930383 | − | 0.100271i | ||||
\(640\) | 19.2711 | + | 26.3932i | 0.761759 | + | 1.04328i | ||||
\(641\) | 2.47986 | − | 33.0914i | 0.0979486 | − | 1.30703i | −0.704240 | − | 0.709962i | \(-0.748712\pi\) |
0.802188 | − | 0.597071i | \(-0.203669\pi\) | |||||||
\(642\) | 12.0843 | − | 20.6401i | 0.476930 | − | 0.814600i | ||||
\(643\) | −30.1969 | + | 37.8657i | −1.19085 | + | 1.49328i | −0.363493 | + | 0.931597i | \(0.618416\pi\) |
−0.827355 | + | 0.561679i | \(0.810156\pi\) | |||||||
\(644\) | 15.6993 | − | 21.0517i | 0.618641 | − | 0.829553i | ||||
\(645\) | −2.25346 | − | 2.82575i | −0.0887300 | − | 0.111264i | ||||
\(646\) | −72.2691 | + | 10.4443i | −2.84339 | + | 0.410924i | ||||
\(647\) | 2.91931 | + | 7.43828i | 0.114770 | + | 0.292429i | 0.976704 | − | 0.214592i | \(-0.0688421\pi\) |
−0.861934 | + | 0.507021i | \(0.830747\pi\) | |||||||
\(648\) | −1.96128 | + | 2.03798i | −0.0770463 | + | 0.0800596i | ||||
\(649\) | 7.72350 | − | 0.578796i | 0.303174 | − | 0.0227197i | ||||
\(650\) | 0.760215 | + | 11.0442i | 0.0298181 | + | 0.433188i | ||||
\(651\) | −8.59104 | − | 0.259789i | −0.336709 | − | 0.0101819i | ||||
\(652\) | −30.0992 | − | 17.8688i | −1.17877 | − | 0.699795i | ||||
\(653\) | −44.2586 | − | 6.67090i | −1.73197 | − | 0.261053i | −0.794038 | − | 0.607868i | \(-0.792025\pi\) |
−0.937933 | + | 0.346816i | \(0.887263\pi\) | |||||||
\(654\) | −5.43924 | − | 11.4724i | −0.212691 | − | 0.448608i | ||||
\(655\) | 50.2369 | + | 29.0043i | 1.96292 | + | 1.13329i | ||||
\(656\) | −28.1808 | − | 2.80179i | −1.10028 | − | 0.109392i | ||||
\(657\) | 0.519750 | − | 1.07927i | 0.0202774 | − | 0.0421064i | ||||
\(658\) | −1.34780 | − | 11.8454i | −0.0525425 | − | 0.461781i | ||||
\(659\) | 0.331214 | + | 0.687772i | 0.0129022 | + | 0.0267918i | 0.907320 | − | 0.420440i | \(-0.138124\pi\) |
−0.894418 | + | 0.447232i | \(0.852410\pi\) | |||||||
\(660\) | 3.22768 | + | 4.14982i | 0.125637 | + | 0.161532i | ||||
\(661\) | 1.78549 | − | 1.92430i | 0.0694476 | − | 0.0748467i | −0.697372 | − | 0.716709i | \(-0.745648\pi\) |
0.766820 | + | 0.641862i | \(0.221838\pi\) | |||||||
\(662\) | −4.57861 | − | 5.81349i | −0.177953 | − | 0.225948i | ||||
\(663\) | −13.1057 | − | 8.93532i | −0.508984 | − | 0.347019i | ||||
\(664\) | −0.382657 | + | 20.9968i | −0.0148500 | + | 0.814835i | ||||
\(665\) | 51.2954 | − | 27.5827i | 1.98915 | − | 1.06961i | ||||
\(666\) | −4.39506 | + | 6.36298i | −0.170305 | + | 0.246560i | ||||
\(667\) | −27.1389 | + | 15.6686i | −1.05082 | + | 0.606692i | ||||
\(668\) | −29.6147 | + | 26.8163i | −1.14583 | + | 1.03756i | ||||
\(669\) | 13.6401 | − | 9.29965i | 0.527356 | − | 0.359545i | ||||
\(670\) | 3.43970 | − | 10.9154i | 0.132887 | − | 0.421698i | ||||
\(671\) | 1.16199 | − | 5.09103i | 0.0448583 | − | 0.196537i | ||||
\(672\) | 14.2376 | − | 4.61411i | 0.549228 | − | 0.177993i | ||||
\(673\) | 10.0509 | + | 44.0361i | 0.387436 | + | 1.69747i | 0.673444 | + | 0.739239i | \(0.264814\pi\) |
−0.286008 | + | 0.958227i | \(0.592328\pi\) | |||||||
\(674\) | 18.9895 | + | 1.53912i | 0.731450 | + | 0.0592846i | ||||
\(675\) | 3.19503 | + | 0.985537i | 0.122977 | + | 0.0379333i | ||||
\(676\) | −0.941528 | − | 15.0083i | −0.0362126 | − | 0.577244i | ||||
\(677\) | −3.82311 | − | 12.3942i | −0.146934 | − | 0.476349i | 0.851948 | − | 0.523627i | \(-0.175421\pi\) |
−0.998882 | + | 0.0472781i | \(0.984945\pi\) | |||||||
\(678\) | 5.17032 | − | 2.94336i | 0.198565 | − | 0.113039i | ||||
\(679\) | −35.4026 | + | 12.6735i | −1.35863 | + | 0.486366i | ||||
\(680\) | 23.1042 | + | 50.3009i | 0.886004 | + | 1.92895i | ||||
\(681\) | 7.49767 | − | 19.1037i | 0.287311 | − | 0.732057i | ||||
\(682\) | −0.955068 | + | 4.07030i | −0.0365714 | + | 0.155860i | ||||
\(683\) | −5.18171 | − | 34.3784i | −0.198273 | − | 1.31545i | −0.837501 | − | 0.546436i | \(-0.815984\pi\) |
0.639228 | − | 0.769017i | \(-0.279254\pi\) | |||||||
\(684\) | 13.8116 | − | 6.44583i | 0.528101 | − | 0.246462i | ||||
\(685\) | − | 3.41573i | − | 0.130509i | ||||||
\(686\) | −1.38318 | − | 26.1551i | −0.0528100 | − | 0.998605i | ||||
\(687\) | 15.1370i | 0.577511i | ||||||||
\(688\) | 0.625503 | + | 4.96577i | 0.0238471 | + | 0.189318i | ||||
\(689\) | −4.37253 | − | 29.0099i | −0.166580 | − | 1.10519i | ||||
\(690\) | −19.7372 | − | 4.63120i | −0.751384 | − | 0.176307i | ||||
\(691\) | 11.6698 | − | 29.7342i | 0.443941 | − | 1.13114i | −0.517390 | − | 0.855750i | \(-0.673096\pi\) |
0.961331 | − | 0.275394i | \(-0.0888084\pi\) | |||||||
\(692\) | −6.08826 | − | 9.16716i | −0.231441 | − | 0.348483i | ||||
\(693\) | 2.26683 | − | 0.811488i | 0.0861099 | − | 0.0308259i | ||||
\(694\) | −18.8469 | − | 33.1066i | −0.715419 | − | 1.25671i | ||||
\(695\) | −6.52757 | − | 21.1619i | −0.247605 | − | 0.802715i | ||||
\(696\) | −17.7824 | − | 1.65895i | −0.674042 | − | 0.0628824i | ||||
\(697\) | −45.8369 | − | 14.1388i | −1.73620 | − | 0.535546i | ||||
\(698\) | −2.23463 | + | 27.5707i | −0.0845819 | + | 1.04357i | ||||
\(699\) | −1.09074 | − | 4.77886i | −0.0412558 | − | 0.180753i | ||||
\(700\) | −12.4481 | − | 12.5726i | −0.470493 | − | 0.475201i | ||||
\(701\) | 5.15988 | − | 22.6069i | 0.194886 | − | 0.853851i | −0.779038 | − | 0.626976i | \(-0.784292\pi\) |
0.973924 | − | 0.226874i | \(-0.0728507\pi\) | |||||||
\(702\) | 3.15783 | + | 0.995108i | 0.119185 | + | 0.0375579i | ||||
\(703\) | 34.4318 | − | 23.4752i | 1.29862 | − | 0.885384i | ||||
\(704\) | −0.822034 | − | 7.23366i | −0.0309816 | − | 0.272629i | ||||
\(705\) | −7.97048 | + | 4.60176i | −0.300186 | + | 0.173312i | ||||
\(706\) | −2.15048 | − | 1.48538i | −0.0809343 | − | 0.0559032i | ||||
\(707\) | −36.0347 | + | 19.3767i | −1.35522 | + | 0.728735i | ||||
\(708\) | −16.8613 | + | 2.33231i | −0.633685 | + | 0.0876536i | ||||
\(709\) | 23.6975 | + | 16.1567i | 0.889978 | + | 0.606777i | 0.919631 | − | 0.392784i | \(-0.128488\pi\) |
−0.0296530 | + | 0.999560i | \(0.509440\pi\) | |||||||
\(710\) | 11.0965 | − | 8.73946i | 0.416446 | − | 0.327986i | ||||
\(711\) | −10.5687 | + | 11.3904i | −0.396358 | + | 0.427172i | ||||
\(712\) | 14.7078 | + | 26.5818i | 0.551199 | + | 0.996195i | ||||
\(713\) | −6.99522 | − | 14.5257i | −0.261973 | − | 0.543993i | ||||
\(714\) | 25.1880 | − | 2.86595i | 0.942636 | − | 0.107255i | ||||
\(715\) | 2.67016 | − | 5.54464i | 0.0998583 | − | 0.207358i | ||||
\(716\) | −0.207424 | + | 0.0446993i | −0.00775180 | + | 0.00167049i | ||||
\(717\) | −2.23988 | − | 1.29319i | −0.0836497 | − | 0.0482952i | ||||
\(718\) | −1.91666 | + | 0.908714i | −0.0715291 | + | 0.0339129i | ||||
\(719\) | 13.2959 | + | 2.00404i | 0.495855 | + | 0.0747381i | 0.392209 | − | 0.919876i | \(-0.371711\pi\) |
0.103646 | + | 0.994614i | \(0.466949\pi\) | |||||||
\(720\) | −7.65070 | − | 8.65818i | −0.285125 | − | 0.322671i | ||||
\(721\) | 29.6561 | + | 0.896787i | 1.10445 | + | 0.0333981i | ||||
\(722\) | −55.1335 | + | 3.79507i | −2.05186 | + | 0.141238i | ||||
\(723\) | −26.4851 | + | 1.98479i | −0.984993 | + | 0.0738150i | ||||
\(724\) | 10.2293 | − | 14.6189i | 0.380171 | − | 0.543308i | ||||
\(725\) | 7.71326 | + | 19.6531i | 0.286463 | + | 0.729896i | ||||
\(726\) | 2.05756 | + | 14.2373i | 0.0763631 | + | 0.528394i | ||||
\(727\) | 3.74755 | + | 4.69927i | 0.138989 | + | 0.174286i | 0.846454 | − | 0.532462i | \(-0.178733\pi\) |
−0.707465 | + | 0.706748i | \(0.750161\pi\) | |||||||
\(728\) | −12.2506 | − | 12.5245i | −0.454038 | − | 0.464188i | ||||
\(729\) | 0.623490 | − | 0.781831i | 0.0230922 | − | 0.0289567i | ||||
\(730\) | 4.22289 | + | 2.47241i | 0.156296 | + | 0.0915079i | ||||
\(731\) | −0.633524 | + | 8.45379i | −0.0234317 | + | 0.312675i | ||||
\(732\) | −1.84821 | + | 11.3267i | −0.0683119 | + | 0.418646i | ||||
\(733\) | 25.1666 | + | 27.1232i | 0.929550 | + | 1.00182i | 0.999991 | + | 0.00430111i | \(0.00136909\pi\) |
−0.0704403 | + | 0.997516i | \(0.522440\pi\) | |||||||
\(734\) | 3.95033 | − | 25.1704i | 0.145809 | − | 0.929055i | ||||
\(735\) | −18.0896 | + | 9.03330i | −0.667246 | + | 0.333198i | ||||
\(736\) | 19.9905 | + | 19.7115i | 0.736861 | + | 0.726574i | ||||
\(737\) | −1.86894 | + | 1.73413i | −0.0688434 | + | 0.0638773i | ||||
\(738\) | 10.0124 | + | 0.0608174i | 0.368560 | + | 0.00223872i | ||||
\(739\) | 38.2715 | + | 2.86805i | 1.40784 | + | 0.105503i | 0.756853 | − | 0.653585i | \(-0.226736\pi\) |
0.650988 | + | 0.759088i | \(0.274355\pi\) | |||||||
\(740\) | −24.4573 | − | 19.9949i | −0.899069 | − | 0.735028i | ||||
\(741\) | −13.9492 | − | 11.1241i | −0.512438 | − | 0.408655i | ||||
\(742\) | 35.5727 | + | 30.5450i | 1.30591 | + | 1.12134i | ||||
\(743\) | 22.9220 | − | 18.2797i | 0.840927 | − | 0.670617i | −0.105187 | − | 0.994453i | \(-0.533544\pi\) |
0.946113 | + | 0.323836i | \(0.104973\pi\) | |||||||
\(744\) | 1.53479 | − | 9.05932i | 0.0562681 | − | 0.332131i | ||||
\(745\) | 14.0633 | − | 5.51942i | 0.515238 | − | 0.202216i | ||||
\(746\) | 3.62165 | − | 7.40504i | 0.132598 | − | 0.271118i | ||||
\(747\) | −0.554851 | − | 7.40397i | −0.0203009 | − | 0.270897i | ||||
\(748\) | 1.07083 | − | 12.2847i | 0.0391534 | − | 0.449172i | ||||
\(749\) | 35.8107 | − | 26.8282i | 1.30849 | − | 0.980282i | ||||
\(750\) | 2.51028 | − | 6.28360i | 0.0916626 | − | 0.229445i | ||||
\(751\) | −0.649413 | + | 4.30858i | −0.0236974 | + | 0.157222i | −0.997550 | − | 0.0699595i | \(-0.977713\pi\) |
0.973852 | + | 0.227182i | \(0.0729511\pi\) | |||||||
\(752\) | 12.7412 | + | 0.309629i | 0.464623 | + | 0.0112910i | ||||
\(753\) | −1.91962 | + | 3.32488i | −0.0699549 | + | 0.121165i | ||||
\(754\) | 7.51956 | + | 19.5071i | 0.273846 | + | 0.710407i | ||||
\(755\) | −0.499040 | − | 0.240325i | −0.0181619 | − | 0.00874633i | ||||
\(756\) | −4.86047 | + | 2.09186i | −0.176773 | + | 0.0760801i | ||||
\(757\) | −40.0427 | + | 19.2836i | −1.45538 | + | 0.700873i | −0.983520 | − | 0.180802i | \(-0.942131\pi\) |
−0.471858 | + | 0.881674i | \(0.656417\pi\) | |||||||
\(758\) | −33.4347 | − | 31.4029i | −1.21440 | − | 1.14060i | ||||
\(759\) | 3.31072 | + | 3.07190i | 0.120172 | + | 0.111503i | ||||
\(760\) | 21.6871 | + | 58.3632i | 0.786674 | + | 2.11706i | ||||
\(761\) | 26.4849 | − | 38.8462i | 0.960078 | − | 1.40818i | 0.0476834 | − | 0.998862i | \(-0.484816\pi\) |
0.912394 | − | 0.409313i | \(-0.134231\pi\) | |||||||
\(762\) | −10.1861 | + | 3.07437i | −0.369004 | + | 0.111373i | ||||
\(763\) | −1.05831 | − | 23.7295i | −0.0383135 | − | 0.859064i | ||||
\(764\) | −4.53872 | + | 4.77393i | −0.164205 | + | 0.172715i | ||||
\(765\) | −9.78517 | − | 16.9484i | −0.353784 | − | 0.612771i | ||||
\(766\) | 23.9991 | + | 19.3783i | 0.867124 | + | 0.700167i | ||||
\(767\) | 11.2244 | + | 16.4632i | 0.405290 | + | 0.594451i | ||||
\(768\) | 2.79843 | + | 15.7534i | 0.100980 | + | 0.568451i | ||||
\(769\) | 41.1947 | + | 9.40242i | 1.48552 | + | 0.339060i | 0.886895 | − | 0.461971i | \(-0.152858\pi\) |
0.598623 | + | 0.801031i | \(0.295715\pi\) | |||||||
\(770\) | 2.55601 | + | 9.49753i | 0.0921122 | + | 0.342267i | ||||
\(771\) | −3.67201 | + | 0.838113i | −0.132244 | + | 0.0301839i | ||||
\(772\) | 6.59608 | − | 27.3627i | 0.237398 | − | 0.984806i | ||||
\(773\) | −5.00264 | + | 16.2181i | −0.179932 | + | 0.583326i | 0.820007 | + | 0.572353i | \(0.193969\pi\) |
−0.999940 | + | 0.0109734i | \(0.996507\pi\) | |||||||
\(774\) | −0.383273 | − | 1.72753i | −0.0137765 | − | 0.0620949i | ||||
\(775\) | −10.3794 | + | 3.20161i | −0.372837 | + | 0.115005i | ||||
\(776\) | −8.22952 | − | 39.3476i | −0.295422 | − | 1.41250i | ||||
\(777\) | −12.1946 | + | 7.78490i | −0.437480 | + | 0.279282i | ||||
\(778\) | 14.9464 | + | 16.3059i | 0.535855 | + | 0.584596i | ||||
\(779\) | −50.2255 | − | 19.7120i | −1.79951 | − | 0.706257i | ||||
\(780\) | −5.09384 | + | 12.5292i | −0.182389 | + | 0.448616i | ||||
\(781\) | −3.11150 | + | 0.468983i | −0.111338 | + | 0.0167815i | ||||
\(782\) | 26.5479 | + | 39.4514i | 0.949353 | + | 1.41078i | ||||
\(783\) | 6.31434 | 0.225656 | ||||||||
\(784\) | 27.8995 | + | 2.37036i | 0.996410 | + | 0.0846558i | ||||
\(785\) | −27.6931 | −0.988410 | ||||||||
\(786\) | 15.8559 | + | 23.5626i | 0.565562 | + | 0.840451i | ||||
\(787\) | −15.5136 | + | 2.33830i | −0.553000 | + | 0.0833513i | −0.419597 | − | 0.907711i | \(-0.637829\pi\) |
−0.133403 | + | 0.991062i | \(0.542590\pi\) | |||||||
\(788\) | −2.51507 | + | 6.18623i | −0.0895955 | + | 0.220375i | ||||
\(789\) | −13.3119 | − | 5.22454i | −0.473916 | − | 0.185998i | ||||
\(790\) | −42.8897 | − | 46.7909i | −1.52595 | − | 1.66475i | ||||
\(791\) | 11.0511 | − | 1.32547i | 0.392933 | − | 0.0471282i | ||||
\(792\) | 0.526937 | + | 2.51943i | 0.0187239 | + | 0.0895241i | ||||
\(793\) | 12.8373 | − | 3.95980i | 0.455867 | − | 0.140616i | ||||
\(794\) | −4.06208 | − | 18.3091i | −0.144158 | − | 0.649765i | ||||
\(795\) | 10.6691 | − | 34.5884i | 0.378395 | − | 1.22672i | ||||
\(796\) | −2.07643 | + | 8.61370i | −0.0735970 | + | 0.305305i | ||||
\(797\) | −46.6271 | + | 10.6423i | −1.65161 | + | 0.376970i | −0.944082 | − | 0.329710i | \(-0.893049\pi\) |
−0.707533 | + | 0.706681i | \(0.750192\pi\) | |||||||
\(798\) | 28.4935 | − | 1.09741i | 1.00866 | − | 0.0388479i | ||||
\(799\) | 21.0461 | + | 4.80365i | 0.744559 | + | 0.169941i | ||||
\(800\) | 15.1389 | − | 11.3383i | 0.535242 | − | 0.400869i | ||||
\(801\) | −6.05049 | − | 8.87443i | −0.213783 | − | 0.313563i | ||||
\(802\) | 33.3913 | + | 26.9621i | 1.17909 | + | 0.952066i | ||||
\(803\) | −0.545062 | − | 0.944075i | −0.0192348 | − | 0.0333157i | ||||
\(804\) | 3.86077 | − | 4.06084i | 0.136159 | − | 0.143215i | ||||
\(805\) | −30.6774 | − | 22.3030i | −1.08123 | − | 0.786076i | ||||
\(806\) | −10.2970 | + | 3.10784i | −0.362697 | + | 0.109469i | ||||
\(807\) | −6.46295 | + | 9.47941i | −0.227507 | + | 0.333691i | ||||
\(808\) | −15.2351 | − | 40.9998i | −0.535968 | − | 1.44237i | ||||
\(809\) | 4.81488 | + | 4.46756i | 0.169282 | + | 0.157071i | 0.760265 | − | 0.649614i | \(-0.225069\pi\) |
−0.590982 | + | 0.806684i | \(0.701260\pi\) | |||||||
\(810\) | 2.97758 | + | 2.79664i | 0.104621 | + | 0.0982638i | ||||
\(811\) | 39.8683 | − | 19.1996i | 1.39997 | − | 0.674188i | 0.426811 | − | 0.904341i | \(-0.359637\pi\) |
0.973154 | + | 0.230153i | \(0.0739227\pi\) | |||||||
\(812\) | −29.4623 | − | 15.7594i | −1.03392 | − | 0.553047i | ||||
\(813\) | 7.72286 | + | 3.71913i | 0.270852 | + | 0.130436i | ||||
\(814\) | 2.53126 | + | 6.56654i | 0.0887205 | + | 0.230157i | ||||
\(815\) | −25.2772 | + | 43.7814i | −0.885422 | + | 1.53360i | ||||
\(816\) | −0.658394 | + | 27.0928i | −0.0230484 | + | 0.948438i | ||||
\(817\) | −1.42121 | + | 9.42912i | −0.0497219 | + | 0.329883i | ||||
\(818\) | −4.21955 | + | 10.5621i | −0.147533 | + | 0.369296i | ||||
\(819\) | 4.72384 | + | 4.00660i | 0.165064 | + | 0.140002i | ||||
\(820\) | −3.55180 | + | 40.7466i | −0.124034 | + | 1.42293i | ||||
\(821\) | 1.93533 | + | 25.8251i | 0.0675434 | + | 0.901303i | 0.923338 | + | 0.383988i | \(0.125450\pi\) |
−0.855795 | + | 0.517315i | \(0.826931\pi\) | |||||||
\(822\) | 0.734737 | − | 1.50229i | 0.0256269 | − | 0.0523982i | ||||
\(823\) | −8.53670 | + | 3.35041i | −0.297571 | + | 0.116788i | −0.509430 | − | 0.860512i | \(-0.670144\pi\) |
0.211859 | + | 0.977300i | \(0.432048\pi\) | |||||||
\(824\) | −5.29807 | + | 31.2726i | −0.184567 | + | 1.08943i | ||||
\(825\) | 2.37892 | − | 1.89712i | 0.0828232 | − | 0.0660493i | ||||
\(826\) | −30.7688 | − | 8.20836i | −1.07058 | − | 0.285605i | ||||
\(827\) | −5.68260 | − | 4.53172i | −0.197603 | − | 0.157583i | 0.519690 | − | 0.854355i | \(-0.326048\pi\) |
−0.717293 | + | 0.696772i | \(0.754619\pi\) | |||||||
\(828\) | −7.68451 | − | 6.28242i | −0.267055 | − | 0.218329i | ||||
\(829\) | 51.6410 | + | 3.86996i | 1.79357 | + | 0.134409i | 0.929465 | − | 0.368910i | \(-0.120269\pi\) |
0.864101 | + | 0.503319i | \(0.167888\pi\) | |||||||
\(830\) | 30.3294 | + | 0.184228i | 1.05275 | + | 0.00639465i | ||||
\(831\) | −4.17917 | + | 3.87771i | −0.144974 | + | 0.134516i | ||||
\(832\) | 15.0590 | − | 11.1363i | 0.522076 | − | 0.386080i | ||||
\(833\) | 45.5152 | + | 13.3279i | 1.57701 | + | 0.461785i | ||||
\(834\) | 1.68108 | − | 10.7114i | 0.0582111 | − | 0.370904i | ||||
\(835\) | 39.2466 | + | 42.2977i | 1.35818 | + | 1.46377i | ||||
\(836\) | 2.23374 | − | 13.6893i | 0.0772554 | − | 0.473456i | ||||
\(837\) | −0.242768 | + | 3.23951i | −0.00839127 | + | 0.111974i | ||||
\(838\) | 6.23559 | + | 3.65080i | 0.215405 | + | 0.126115i | ||||
\(839\) | −11.8956 | + | 14.9166i | −0.410682 | + | 0.514979i | −0.943555 | − | 0.331216i | \(-0.892541\pi\) |
0.532873 | + | 0.846196i | \(0.321113\pi\) | |||||||
\(840\) | −6.91329 | − | 20.4804i | −0.238531 | − | 0.706641i | ||||
\(841\) | 6.77791 | + | 8.49923i | 0.233721 | + | 0.293077i | ||||
\(842\) | −6.86205 | − | 47.4819i | −0.236482 | − | 1.63634i | ||||
\(843\) | 2.36321 | + | 6.02137i | 0.0813934 | + | 0.207387i | ||||
\(844\) | −17.8449 | + | 25.5024i | −0.614247 | + | 0.877830i | ||||
\(845\) | −21.6579 | + | 1.62303i | −0.745054 | + | 0.0558340i | ||||
\(846\) | −4.49538 | + | 0.309435i | −0.154554 | + | 0.0106386i | ||||
\(847\) | −6.77883 | + | 26.0444i | −0.232923 | + | 0.894898i | ||||
\(848\) | −37.5614 | + | 33.1907i | −1.28986 | + | 1.13977i | ||||
\(849\) | −10.3175 | − | 1.55512i | −0.354097 | − | 0.0533716i | ||||
\(850\) | 28.9480 | − | 13.7246i | 0.992909 | − | 0.470751i | ||||
\(851\) | −23.5025 | − | 13.5692i | −0.805655 | − | 0.465145i | ||||
\(852\) | 6.76030 | − | 1.45682i | 0.231604 | − | 0.0499100i | ||||
\(853\) | 6.51881 | − | 13.5364i | 0.223200 | − | 0.463479i | −0.759056 | − | 0.651025i | \(-0.774339\pi\) |
0.982256 | + | 0.187546i | \(0.0600534\pi\) | |||||||
\(854\) | −11.4031 | + | 18.1921i | −0.390205 | + | 0.622521i | ||||
\(855\) | −9.55110 | − | 19.8331i | −0.326641 | − | 0.678277i | ||||
\(856\) | 23.1587 | + | 41.8552i | 0.791546 | + | 1.43058i | ||||
\(857\) | −7.63163 | + | 8.22494i | −0.260692 | + | 0.280959i | −0.849811 | − | 0.527087i | \(-0.823284\pi\) |
0.589120 | + | 0.808046i | \(0.299475\pi\) | |||||||
\(858\) | 2.36704 | − | 1.86425i | 0.0808095 | − | 0.0636443i | ||||
\(859\) | −9.33728 | − | 6.36605i | −0.318584 | − | 0.217207i | 0.393460 | − | 0.919342i | \(-0.371278\pi\) |
−0.712044 | + | 0.702135i | \(0.752230\pi\) | |||||||
\(860\) | 7.16037 | − | 0.990448i | 0.244167 | − | 0.0337740i | ||||
\(861\) | 17.2221 | + | 7.36739i | 0.586927 | + | 0.251080i | ||||
\(862\) | 11.1303 | + | 7.68794i | 0.379099 | + | 0.261852i | ||||
\(863\) | −31.0598 | + | 17.9324i | −1.05729 | + | 0.610425i | −0.924681 | − | 0.380743i | \(-0.875668\pi\) |
−0.132607 | + | 0.991169i | \(0.542335\pi\) | |||||||
\(864\) | −1.50247 | − | 5.45368i | −0.0511152 | − | 0.185538i | ||||
\(865\) | −13.1320 | + | 8.95324i | −0.446501 | + | 0.304419i | ||||
\(866\) | 43.3067 | + | 13.6470i | 1.47162 | + | 0.463743i | ||||
\(867\) | −6.43160 | + | 28.1787i | −0.218429 | + | 0.956998i | ||||
\(868\) | 9.21795 | − | 14.5094i | 0.312877 | − | 0.492482i | ||||
\(869\) | 3.14650 | + | 13.7857i | 0.106738 | + | 0.467649i | ||||
\(870\) | −2.08379 | + | 25.7097i | −0.0706472 | + | 0.871641i | ||||
\(871\) | −6.26763 | − | 1.93331i | −0.212371 | − | 0.0655076i | ||||
\(872\) | 25.2833 | + | 2.35872i | 0.856201 | + | 0.0798763i | ||||
\(873\) | 4.18921 | + | 13.5811i | 0.141783 | + | 0.459650i | ||||
\(874\) | 26.4619 | + | 46.4831i | 0.895087 | + | 1.57231i | ||||
\(875\) | 8.88680 | − | 9.01515i | 0.300429 | − | 0.304768i | ||||
\(876\) | 1.32546 | + | 1.99576i | 0.0447831 | + | 0.0674303i | ||||
\(877\) | −10.6668 | + | 27.1785i | −0.360192 | + | 0.917753i | 0.629817 | + | 0.776744i | \(0.283130\pi\) |
−0.990008 | + | 0.141009i | \(0.954965\pi\) | |||||||
\(878\) | 34.6174 | + | 8.12274i | 1.16828 | + | 0.274129i | ||||
\(879\) | 4.61817 | + | 30.6395i | 0.155767 | + | 1.03345i | ||||
\(880\) | −10.4321 | + | 1.31406i | −0.351667 | + | 0.0442970i | ||||
\(881\) | 2.97818i | 0.100338i | 0.998741 | + | 0.0501688i | \(0.0159759\pi\) | ||||
−0.998741 | + | 0.0501688i | \(0.984024\pi\) | |||||||
\(882\) | −9.89916 | + | 0.0818191i | −0.333322 | + | 0.00275499i | ||||
\(883\) | − | 49.7558i | − | 1.67441i | −0.546886 | − | 0.837207i | \(-0.684187\pi\) | ||
0.546886 | − | 0.837207i | \(-0.315813\pi\) | |||||||
\(884\) | 28.7472 | − | 13.4162i | 0.966875 | − | 0.451236i | ||||
\(885\) | 3.66405 | + | 24.3094i | 0.123166 | + | 0.817151i | ||||
\(886\) | −5.16321 | + | 22.0045i | −0.173462 | + | 0.739257i | ||||
\(887\) | −5.50958 | + | 14.0382i | −0.184993 | + | 0.471356i | −0.993042 | − | 0.117760i | \(-0.962429\pi\) |
0.808049 | + | 0.589116i | \(0.200524\pi\) | |||||||
\(888\) | −6.45568 | − | 14.0549i | −0.216638 | − | 0.471651i | ||||
\(889\) | −19.7959 | − | 2.08684i | −0.663932 | − | 0.0699904i | ||||
\(890\) | 38.1302 | − | 21.7067i | 1.27813 | − | 0.727612i | ||||
\(891\) | −0.268235 | − | 0.869598i | −0.00898622 | − | 0.0291326i | ||||
\(892\) | 2.06723 | + | 32.9525i | 0.0692160 | + | 1.10333i | ||||
\(893\) | 23.2031 | + | 7.15720i | 0.776462 | + | 0.239507i | ||||
\(894\) | 7.37245 | + | 0.597543i | 0.246572 | + | 0.0199848i | ||||
\(895\) | 0.0681920 | + | 0.298769i | 0.00227941 | + | 0.00998673i | ||||
\(896\) | −6.60093 | + | 29.1964i | −0.220521 | + | 0.975382i | ||||
\(897\) | −2.58545 | + | 11.3276i | −0.0863258 | + | 0.378218i | ||||
\(898\) | −14.3406 | + | 45.5077i | −0.478551 | + | 1.51861i | ||||
\(899\) | −16.9484 | + | 11.5552i | −0.565261 | + | 0.385388i | ||||
\(900\) | −4.95692 | + | 4.48853i | −0.165231 | + | 0.149618i | ||||
\(901\) | −73.5265 | + | 42.4505i | −2.44952 | + | 1.41423i | ||||
\(902\) | 5.17843 | − | 7.49711i | 0.172423 | − | 0.249627i | ||||
\(903\) | 0.592124 | − | 3.25712i | 0.0197047 | − | 0.108390i | ||||
\(904\) | −0.216814 | + | 11.8968i | −0.00721113 | + | 0.395683i | ||||
\(905\) | −21.2915 | − | 14.5163i | −0.707753 | − | 0.482538i | ||||
\(906\) | −0.167790 | − | 0.213044i | −0.00557444 | − | 0.00707790i | ||||
\(907\) | −17.3348 | + | 18.6825i | −0.575592 | + | 0.620341i | −0.951994 | − | 0.306116i | \(-0.900971\pi\) |
0.376402 | + | 0.926456i | \(0.377161\pi\) | |||||||
\(908\) | 25.1993 | + | 32.3986i | 0.836267 | + | 1.07518i | ||||
\(909\) | 6.70959 | + | 13.9326i | 0.222543 | + | 0.462115i | ||||
\(910\) | −17.8724 | + | 17.9116i | −0.592463 | + | 0.593762i | ||||
\(911\) | −11.7334 | + | 24.3646i | −0.388744 | + | 0.807234i | 0.611133 | + | 0.791528i | \(0.290714\pi\) |
−0.999877 | + | 0.0157065i | \(0.995000\pi\) | |||||||
\(912\) | −3.01586 | + | 30.3339i | −0.0998651 | + | 1.00446i | ||||
\(913\) | −5.85149 | − | 3.37836i | −0.193656 | − | 0.111807i | ||||
\(914\) | −4.23316 | − | 8.92857i | −0.140020 | − | 0.295331i | ||||
\(915\) | 16.3899 | + | 2.47038i | 0.541834 | + | 0.0816683i | ||||
\(916\) | −26.0322 | − | 15.4543i | −0.860127 | − | 0.510626i | ||||
\(917\) | 10.2521 | + | 52.1346i | 0.338554 | + | 1.72164i | ||||
\(918\) | −0.657982 | − | 9.55896i | −0.0217167 | − | 0.315493i | ||||
\(919\) | −26.6892 | + | 2.00008i | −0.880395 | + | 0.0659765i | −0.507252 | − | 0.861798i | \(-0.669339\pi\) |
−0.373143 | + | 0.927774i | \(0.621720\pi\) | |||||||
\(920\) | 28.1157 | − | 29.2153i | 0.926947 | − | 0.963200i | ||||
\(921\) | 9.14824 | + | 23.3093i | 0.301445 | + | 0.768069i | ||||
\(922\) | −51.3718 | + | 7.42421i | −1.69184 | + | 0.244503i | ||||
\(923\) | −5.04725 | − | 6.32905i | −0.166132 | − | 0.208323i | ||||
\(924\) | −0.918787 | + | 4.72695i | −0.0302259 | + | 0.155505i | ||||
\(925\) | −11.3996 | + | 14.2947i | −0.374817 | + | 0.470006i | ||||
\(926\) | 20.7827 | − | 35.4971i | 0.682963 | − | 1.16651i | ||||
\(927\) | 0.838030 | − | 11.1827i | 0.0275245 | − | 0.367289i | ||||
\(928\) | 21.0083 | − | 28.8881i | 0.689632 | − | 0.948297i | ||||
\(929\) | −7.22997 | − | 7.79205i | −0.237208 | − | 0.255649i | 0.603217 | − | 0.797577i | \(-0.293885\pi\) |
−0.840425 | + | 0.541928i | \(0.817695\pi\) | |||||||
\(930\) | −13.1100 | − | 2.05753i | −0.429894 | − | 0.0674691i | ||||
\(931\) | 49.9328 | + | 18.7755i | 1.63648 | + | 0.615341i | ||||
\(932\) | 9.33219 | + | 3.00323i | 0.305686 | + | 0.0983740i | ||||
\(933\) | −5.40832 | + | 5.01819i | −0.177061 | + | 0.164288i | ||||
\(934\) | −0.133682 | + | 22.0080i | −0.00437420 | + | 0.720124i | ||||
\(935\) | −17.7598 | − | 1.33091i | −0.580806 | − | 0.0435254i | ||||
\(936\) | −4.93541 | + | 4.41479i | −0.161319 | + | 0.144302i | ||||
\(937\) | −39.9050 | − | 31.8232i | −1.30364 | − | 1.03962i | −0.996114 | − | 0.0880775i | \(-0.971928\pi\) |
−0.307525 | − | 0.951540i | \(-0.599501\pi\) | |||||||
\(938\) | 9.60340 | − | 4.20245i | 0.313562 | − | 0.137215i | ||||
\(939\) | 9.06240 | − | 7.22702i | 0.295740 | − | 0.235845i | ||||
\(940\) | 0.223609 | − | 18.4057i | 0.00729333 | − | 0.600327i | ||||
\(941\) | 45.1003 | − | 17.7006i | 1.47023 | − | 0.577022i | 0.510982 | − | 0.859592i | \(-0.329282\pi\) |
0.959247 | + | 0.282569i | \(0.0911867\pi\) | |||||||
\(942\) | −12.1798 | − | 5.95689i | −0.396839 | − | 0.194086i | ||||
\(943\) | 2.62578 | + | 35.0386i | 0.0855071 | + | 1.14101i | ||||
\(944\) | 13.2038 | − | 31.3788i | 0.429745 | − | 1.02129i | ||||
\(945\) | 3.10624 | + | 6.98257i | 0.101046 | + | 0.227143i | ||||
\(946\) | −1.49541 | − | 0.597414i | −0.0486200 | − | 0.0194236i | ||||
\(947\) | 1.34733 | − | 8.93892i | 0.0437822 | − | 0.290476i | −0.956215 | − | 0.292664i | \(-0.905458\pi\) |
0.999998 | + | 0.00218783i | \(0.000696410\pi\) | |||||||
\(948\) | −8.79855 | − | 29.8050i | −0.285764 | − | 0.968021i | ||||
\(949\) | 1.40225 | − | 2.42876i | 0.0455188 | − | 0.0788409i | ||||
\(950\) | 33.6238 | − | 12.9612i | 1.09090 | − | 0.420518i | ||||
\(951\) | −28.6153 | − | 13.7804i | −0.927915 | − | 0.446860i | ||||
\(952\) | −20.7873 | + | 46.2437i | −0.673720 | + | 1.49877i | ||||
\(953\) | −8.89483 | + | 4.28352i | −0.288132 | + | 0.138757i | −0.572367 | − | 0.819998i | \(-0.693975\pi\) |
0.284235 | + | 0.958755i | \(0.408260\pi\) | |||||||
\(954\) | 12.1325 | − | 12.9175i | 0.392805 | − | 0.418219i | ||||
\(955\) | 6.97393 | + | 6.47086i | 0.225671 | + | 0.209392i | ||||
\(956\) | 4.51084 | − | 2.53177i | 0.145891 | − | 0.0818834i | ||||
\(957\) | 3.23697 | − | 4.74776i | 0.104636 | − | 0.153473i | ||||
\(958\) | −11.9536 | − | 39.6053i | −0.386205 | − | 1.27959i | ||||
\(959\) | 2.35674 | − | 2.05773i | 0.0761030 | − | 0.0664475i | ||||
\(960\) | 22.7012 | − | 4.31776i | 0.732679 | − | 0.139355i | ||||
\(961\) | 10.2233 | + | 17.7073i | 0.329785 | + | 0.571204i | ||||
\(962\) | −11.3740 | + | 14.0862i | −0.366714 | + | 0.454158i | ||||
\(963\) | −9.52699 | − | 13.9735i | −0.307003 | − | 0.450290i | ||||
\(964\) | 23.6271 | − | 47.5749i | 0.760977 | − | 1.53228i | ||||
\(965\) | −39.6318 | − | 9.04570i | −1.27579 | − | 0.291191i | ||||
\(966\) | −8.69486 | − | 16.4080i | −0.279753 | − | 0.527917i | ||||
\(967\) | 23.6396 | − | 5.39559i | 0.760200 | − | 0.173511i | 0.175188 | − | 0.984535i | \(-0.443947\pi\) |
0.585012 | + | 0.811024i | \(0.301090\pi\) | |||||||
\(968\) | −26.5856 | − | 10.9972i | −0.854493 | − | 0.353465i | ||||
\(969\) | −15.2191 | + | 49.3390i | −0.488907 | + | 1.58500i | ||||
\(970\) | −56.6797 | + | 12.5751i | −1.81988 | + | 0.403761i | ||||
\(971\) | −17.5085 | + | 5.40065i | −0.561874 | + | 0.173315i | −0.562666 | − | 0.826684i | \(-0.690224\pi\) |
0.000791587 | 1.00000i | \(0.499748\pi\) | ||||||||
\(972\) | 0.708012 | + | 1.87049i | 0.0227095 | + | 0.0599959i | ||||
\(973\) | 10.6685 | − | 17.2522i | 0.342018 | − | 0.553082i | ||||
\(974\) | 17.6317 | − | 16.1617i | 0.564957 | − | 0.517853i | ||||
\(975\) | 7.28677 | + | 2.85985i | 0.233363 | + | 0.0915884i | ||||
\(976\) | −17.5924 | − | 14.7427i | −0.563118 | − | 0.471901i | ||||
\(977\) | −42.4283 | + | 6.39503i | −1.35740 | + | 0.204595i | −0.787092 | − | 0.616835i | \(-0.788414\pi\) |
−0.570308 | + | 0.821431i | \(0.693176\pi\) | |||||||
\(978\) | −20.5348 | + | 13.8184i | −0.656630 | + | 0.441865i | ||||
\(979\) | −9.77439 | −0.312391 | ||||||||
\(980\) | 2.93368 | − | 40.3328i | 0.0937129 | − | 1.28838i | ||||
\(981\) | −8.97781 | −0.286639 | ||||||||
\(982\) | −0.774963 | + | 0.521494i | −0.0247301 | + | 0.0166415i | ||||
\(983\) | 37.7222 | − | 5.68570i | 1.20315 | − | 0.181346i | 0.483287 | − | 0.875462i | \(-0.339443\pi\) |
0.719863 | + | 0.694116i | \(0.244205\pi\) | |||||||
\(984\) | −10.3269 | + | 17.1569i | −0.329209 | + | 0.546942i | ||||
\(985\) | 8.97801 | + | 3.52361i | 0.286063 | + | 0.112272i | ||||
\(986\) | 44.5998 | − | 40.8812i | 1.42035 | − | 1.30192i | ||||
\(987\) | −7.97668 | − | 2.72713i | −0.253901 | − | 0.0868055i | ||||
\(988\) | 33.3727 | − | 12.6322i | 1.06173 | − | 0.401882i | ||||
\(989\) | 5.93392 | − | 1.83037i | 0.188688 | − | 0.0582025i | ||||
\(990\) | 3.62921 | − | 0.805182i | 0.115344 | − | 0.0255904i | ||||
\(991\) | 10.9016 | − | 35.3422i | 0.346301 | − | 1.12268i | −0.600165 | − | 0.799876i | \(-0.704898\pi\) |
0.946466 | − | 0.322804i | \(-0.104626\pi\) | |||||||
\(992\) | 14.0130 | + | 11.8888i | 0.444914 | + | 0.377468i | ||||
\(993\) | −5.10141 | + | 1.16436i | −0.161888 | + | 0.0369500i | ||||
\(994\) | 12.7148 | + | 2.39134i | 0.403288 | + | 0.0758487i | ||||
\(995\) | 12.4760 | + | 2.84756i | 0.395515 | + | 0.0902736i | ||||
\(996\) | 13.2997 | + | 6.60500i | 0.421416 | + | 0.209287i | ||||
\(997\) | −31.7154 | − | 46.5180i | −1.00444 | − | 1.47324i | −0.876467 | − | 0.481462i | \(-0.840106\pi\) |
−0.127972 | − | 0.991778i | \(-0.540847\pi\) | |||||||
\(998\) | −19.5170 | + | 24.1709i | −0.617799 | + | 0.765115i | ||||
\(999\) | 2.73414 | + | 4.73566i | 0.0865042 | + | 0.149830i |
(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 | 588.2.ba.a.283.21 | yes | 336 | |
4.3 | odd | 2 | 588.2.ba.b.283.7 | yes | 336 | ||
49.40 | odd | 42 | 588.2.ba.b.187.7 | yes | 336 | ||
196.187 | even | 42 | inner | 588.2.ba.a.187.21 | ✓ | 336 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
588.2.ba.a.187.21 | ✓ | 336 | 196.187 | even | 42 | inner | |
588.2.ba.a.283.21 | yes | 336 | 1.1 | even | 1 | trivial | |
588.2.ba.b.187.7 | yes | 336 | 49.40 | odd | 42 | ||
588.2.ba.b.283.7 | yes | 336 | 4.3 | odd | 2 |