Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [230,2,Mod(9,230)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(230, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("230.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 230 = 2 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 230.j (of order \(22\), degree \(10\), 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: | \(1.83655924649\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 219.4 | ||
Character | \(\chi\) | \(=\) | 230.219 |
Dual form | 230.2.j.a.209.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{10}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.540641 | − | 0.841254i | −0.382291 | − | 0.594856i | ||||
\(3\) | 0.665993 | + | 0.0957553i | 0.384511 | + | 0.0552844i | 0.331860 | − | 0.943329i | \(-0.392324\pi\) |
0.0526511 | + | 0.998613i | \(0.483233\pi\) | |||||||
\(4\) | −0.415415 | + | 0.909632i | −0.207708 | + | 0.454816i | ||||
\(5\) | −0.171396 | − | 2.22949i | −0.0766506 | − | 0.997058i | ||||
\(6\) | −0.279508 | − | 0.612038i | −0.114109 | − | 0.249864i | ||||
\(7\) | 1.62329 | − | 1.40659i | 0.613548 | − | 0.531642i | −0.291709 | − | 0.956507i | \(-0.594224\pi\) |
0.905257 | + | 0.424865i | \(0.139678\pi\) | |||||||
\(8\) | 0.989821 | − | 0.142315i | 0.349955 | − | 0.0503159i | ||||
\(9\) | −2.44410 | − | 0.717653i | −0.814700 | − | 0.239218i | ||||
\(10\) | −1.78290 | + | 1.34954i | −0.563803 | + | 0.426762i | ||||
\(11\) | 3.00982 | + | 1.93430i | 0.907496 | + | 0.583212i | 0.909004 | − | 0.416787i | \(-0.136844\pi\) |
−0.00150867 | + | 0.999999i | \(0.500480\pi\) | |||||||
\(12\) | −0.363766 | + | 0.566030i | −0.105010 | + | 0.163399i | ||||
\(13\) | −3.40020 | − | 2.94629i | −0.943045 | − | 0.817153i | 0.0402468 | − | 0.999190i | \(-0.487186\pi\) |
−0.983292 | + | 0.182037i | \(0.941731\pi\) | |||||||
\(14\) | −2.06092 | − | 0.605141i | −0.550804 | − | 0.161731i | ||||
\(15\) | 0.0993370 | − | 1.50124i | 0.0256487 | − | 0.387618i | ||||
\(16\) | −0.654861 | − | 0.755750i | −0.163715 | − | 0.188937i | ||||
\(17\) | 5.12683 | − | 2.34135i | 1.24344 | − | 0.567860i | 0.318482 | − | 0.947929i | \(-0.396827\pi\) |
0.924958 | + | 0.380069i | \(0.124100\pi\) | |||||||
\(18\) | 0.717653 | + | 2.44410i | 0.169152 | + | 0.576080i | ||||
\(19\) | 2.28599 | − | 5.00562i | 0.524442 | − | 1.14837i | −0.443288 | − | 0.896379i | \(-0.646188\pi\) |
0.967730 | − | 0.251989i | \(-0.0810848\pi\) | |||||||
\(20\) | 2.09922 | + | 0.770256i | 0.469399 | + | 0.172235i | ||||
\(21\) | 1.21579 | − | 0.781342i | 0.265308 | − | 0.170503i | ||||
\(22\) | − | 3.57778i | − | 0.762786i | ||||||
\(23\) | −2.94656 | + | 3.78388i | −0.614401 | + | 0.788994i | ||||
\(24\) | 0.672842 | 0.137343 | ||||||||
\(25\) | −4.94125 | + | 0.764251i | −0.988249 | + | 0.152850i | ||||
\(26\) | −0.640289 | + | 4.45331i | −0.125571 | + | 0.873366i | ||||
\(27\) | −3.39515 | − | 1.55051i | −0.653397 | − | 0.298396i | ||||
\(28\) | 0.605141 | + | 2.06092i | 0.114361 | + | 0.389477i | ||||
\(29\) | 3.52252 | + | 7.71324i | 0.654115 | + | 1.43231i | 0.887905 | + | 0.460026i | \(0.152160\pi\) |
−0.233790 | + | 0.972287i | \(0.575113\pi\) | |||||||
\(30\) | −1.31663 | + | 0.728062i | −0.240382 | + | 0.132925i | ||||
\(31\) | −0.681945 | − | 4.74303i | −0.122481 | − | 0.851874i | −0.954730 | − | 0.297472i | \(-0.903856\pi\) |
0.832249 | − | 0.554401i | \(-0.187053\pi\) | |||||||
\(32\) | −0.281733 | + | 0.959493i | −0.0498038 | + | 0.169616i | ||||
\(33\) | 1.81930 | + | 1.57643i | 0.316700 | + | 0.274422i | ||||
\(34\) | −4.74144 | − | 3.04714i | −0.813151 | − | 0.522580i | ||||
\(35\) | −3.41421 | − | 3.37803i | −0.577107 | − | 0.570992i | ||||
\(36\) | 1.66812 | − | 1.92511i | 0.278019 | − | 0.320851i | ||||
\(37\) | −2.34825 | + | 7.99739i | −0.386049 | + | 1.31476i | 0.505886 | + | 0.862600i | \(0.331165\pi\) |
−0.891936 | + | 0.452163i | \(0.850653\pi\) | |||||||
\(38\) | −5.44690 | + | 0.783146i | −0.883604 | + | 0.127043i | ||||
\(39\) | −1.98238 | − | 2.28779i | −0.317436 | − | 0.366340i | ||||
\(40\) | −0.486941 | − | 2.18240i | −0.0769921 | − | 0.345068i | ||||
\(41\) | 9.99296 | − | 2.93420i | 1.56064 | − | 0.458245i | 0.616380 | − | 0.787449i | \(-0.288599\pi\) |
0.944259 | + | 0.329204i | \(0.106780\pi\) | |||||||
\(42\) | −1.31461 | − | 0.600364i | −0.202849 | − | 0.0926381i | ||||
\(43\) | 3.35224 | + | 0.481980i | 0.511212 | + | 0.0735012i | 0.393094 | − | 0.919498i | \(-0.371405\pi\) |
0.118118 | + | 0.993000i | \(0.462314\pi\) | |||||||
\(44\) | −3.00982 | + | 1.93430i | −0.453748 | + | 0.291606i | ||||
\(45\) | −1.18109 | + | 5.57210i | −0.176067 | + | 0.830640i | ||||
\(46\) | 4.77624 | + | 0.433085i | 0.704218 | + | 0.0638549i | ||||
\(47\) | 10.7053i | 1.56152i | 0.624830 | + | 0.780761i | \(0.285168\pi\) | ||||
−0.624830 | + | 0.780761i | \(0.714832\pi\) | |||||||
\(48\) | −0.363766 | − | 0.566030i | −0.0525050 | − | 0.0816994i | ||||
\(49\) | −0.339622 | + | 2.36212i | −0.0485174 | + | 0.337446i | ||||
\(50\) | 3.31437 | + | 3.74366i | 0.468722 | + | 0.529433i | ||||
\(51\) | 3.63863 | − | 1.06840i | 0.509510 | − | 0.149606i | ||||
\(52\) | 4.09253 | − | 1.86900i | 0.567532 | − | 0.259183i | ||||
\(53\) | −4.00429 | + | 3.46974i | −0.550031 | + | 0.476605i | −0.884978 | − | 0.465632i | \(-0.845827\pi\) |
0.334947 | + | 0.942237i | \(0.391282\pi\) | |||||||
\(54\) | 0.531182 | + | 3.69445i | 0.0722847 | + | 0.502751i | ||||
\(55\) | 3.79662 | − | 7.04190i | 0.511936 | − | 0.949529i | ||||
\(56\) | 1.40659 | − | 1.62329i | 0.187964 | − | 0.216922i | ||||
\(57\) | 2.00177 | − | 3.11481i | 0.265141 | − | 0.412567i | ||||
\(58\) | 4.58437 | − | 7.13343i | 0.601958 | − | 0.936665i | ||||
\(59\) | 1.25908 | − | 1.45305i | 0.163918 | − | 0.189171i | −0.667848 | − | 0.744297i | \(-0.732785\pi\) |
0.831766 | + | 0.555126i | \(0.187330\pi\) | |||||||
\(60\) | 1.32431 | + | 0.713996i | 0.170967 | + | 0.0921765i | ||||
\(61\) | 0.973399 | + | 6.77014i | 0.124631 | + | 0.866828i | 0.952203 | + | 0.305467i | \(0.0988127\pi\) |
−0.827572 | + | 0.561360i | \(0.810278\pi\) | |||||||
\(62\) | −3.62141 | + | 3.13797i | −0.459919 | + | 0.398522i | ||||
\(63\) | −4.97694 | + | 2.27289i | −0.627036 | + | 0.286358i | ||||
\(64\) | 0.959493 | − | 0.281733i | 0.119937 | − | 0.0352166i | ||||
\(65\) | −5.98594 | + | 8.08568i | −0.742464 | + | 1.00291i | ||||
\(66\) | 0.342592 | − | 2.38278i | 0.0421701 | − | 0.293300i | ||||
\(67\) | −0.464748 | − | 0.723162i | −0.0567780 | − | 0.0883483i | 0.811704 | − | 0.584069i | \(-0.198540\pi\) |
−0.868482 | + | 0.495721i | \(0.834904\pi\) | |||||||
\(68\) | 5.63616i | 0.683485i | ||||||||
\(69\) | −2.32472 | + | 2.23789i | −0.279863 | + | 0.269410i | ||||
\(70\) | −0.995922 | + | 4.69852i | −0.119035 | + | 0.561581i | ||||
\(71\) | 7.34689 | − | 4.72156i | 0.871916 | − | 0.560346i | −0.0264224 | − | 0.999651i | \(-0.508411\pi\) |
0.898338 | + | 0.439305i | \(0.144775\pi\) | |||||||
\(72\) | −2.52136 | − | 0.362516i | −0.297145 | − | 0.0427230i | ||||
\(73\) | 5.78187 | + | 2.64049i | 0.676717 | + | 0.309046i | 0.723965 | − | 0.689837i | \(-0.242318\pi\) |
−0.0472479 | + | 0.998883i | \(0.515045\pi\) | |||||||
\(74\) | 7.99739 | − | 2.34825i | 0.929678 | − | 0.272978i | ||||
\(75\) | −3.36402 | + | 0.0358349i | −0.388443 | + | 0.00413786i | ||||
\(76\) | 3.60364 | + | 4.15882i | 0.413366 | + | 0.477050i | ||||
\(77\) | 7.60660 | − | 1.09366i | 0.866852 | − | 0.124634i | ||||
\(78\) | −0.852857 | + | 2.90456i | −0.0965670 | + | 0.328877i | ||||
\(79\) | −9.61636 | + | 11.0979i | −1.08192 | + | 1.24861i | −0.115049 | + | 0.993360i | \(0.536703\pi\) |
−0.966876 | + | 0.255248i | \(0.917843\pi\) | |||||||
\(80\) | −1.57270 | + | 1.58954i | −0.175833 | + | 0.177716i | ||||
\(81\) | 4.31606 | + | 2.77376i | 0.479562 | + | 0.308196i | ||||
\(82\) | −7.87101 | − | 6.82027i | −0.869208 | − | 0.753173i | ||||
\(83\) | 1.86485 | − | 6.35109i | 0.204694 | − | 0.697123i | −0.791595 | − | 0.611047i | \(-0.790749\pi\) |
0.996289 | − | 0.0860767i | \(-0.0274330\pi\) | |||||||
\(84\) | 0.205675 | + | 1.43050i | 0.0224410 | + | 0.156081i | ||||
\(85\) | −6.09873 | − | 11.0289i | −0.661500 | − | 1.19625i | ||||
\(86\) | −1.40689 | − | 3.08066i | −0.151709 | − | 0.332196i | ||||
\(87\) | 1.60739 | + | 5.47427i | 0.172330 | + | 0.586903i | ||||
\(88\) | 3.25447 | + | 1.48626i | 0.346927 | + | 0.158436i | ||||
\(89\) | −0.622136 | + | 4.32705i | −0.0659463 | + | 0.458667i | 0.929915 | + | 0.367776i | \(0.119881\pi\) |
−0.995861 | + | 0.0908909i | \(0.971029\pi\) | |||||||
\(90\) | 5.32610 | − | 2.01891i | 0.561420 | − | 0.212812i | ||||
\(91\) | −9.66375 | −1.01304 | ||||||||
\(92\) | −2.21789 | − | 4.25217i | −0.231231 | − | 0.443319i | ||||
\(93\) | − | 3.22413i | − | 0.334326i | ||||||
\(94\) | 9.00583 | − | 5.78770i | 0.928881 | − | 0.596955i | ||||
\(95\) | −11.5518 | − | 4.23865i | −1.18519 | − | 0.434876i | ||||
\(96\) | −0.279508 | + | 0.612038i | −0.0285272 | + | 0.0624659i | ||||
\(97\) | −1.51710 | − | 5.16676i | −0.154038 | − | 0.524605i | 0.845924 | − | 0.533303i | \(-0.179049\pi\) |
−0.999962 | + | 0.00869816i | \(0.997231\pi\) | |||||||
\(98\) | 2.17076 | − | 0.991351i | 0.219279 | − | 0.100142i | ||||
\(99\) | −5.96816 | − | 6.88762i | −0.599822 | − | 0.692232i | ||||
\(100\) | 1.35748 | − | 4.81220i | 0.135748 | − | 0.481220i | ||||
\(101\) | −12.2869 | − | 3.60777i | −1.22260 | − | 0.358987i | −0.394146 | − | 0.919048i | \(-0.628959\pi\) |
−0.828451 | + | 0.560061i | \(0.810778\pi\) | |||||||
\(102\) | −2.86599 | − | 2.48339i | −0.283775 | − | 0.245892i | ||||
\(103\) | 7.70414 | − | 11.9879i | 0.759112 | − | 1.18120i | −0.219526 | − | 0.975607i | \(-0.570451\pi\) |
0.978637 | − | 0.205594i | \(-0.0659126\pi\) | |||||||
\(104\) | −3.78489 | − | 2.43240i | −0.371139 | − | 0.238516i | ||||
\(105\) | −1.95038 | − | 2.57668i | −0.190337 | − | 0.251458i | ||||
\(106\) | 5.08381 | + | 1.49274i | 0.493783 | + | 0.144988i | ||||
\(107\) | −3.89393 | + | 0.559862i | −0.376440 | + | 0.0541239i | −0.327938 | − | 0.944699i | \(-0.606354\pi\) |
−0.0485019 | + | 0.998823i | \(0.515445\pi\) | |||||||
\(108\) | 2.82079 | − | 2.44423i | 0.271431 | − | 0.235196i | ||||
\(109\) | −4.07802 | − | 8.92962i | −0.390604 | − | 0.855303i | −0.998137 | − | 0.0610086i | \(-0.980568\pi\) |
0.607534 | − | 0.794294i | \(-0.292159\pi\) | |||||||
\(110\) | −7.97663 | + | 0.613217i | −0.760542 | + | 0.0584680i | ||||
\(111\) | −2.32971 | + | 5.10135i | −0.221126 | + | 0.484199i | ||||
\(112\) | −2.12606 | − | 0.305682i | −0.200894 | − | 0.0288842i | ||||
\(113\) | −2.59243 | − | 4.03389i | −0.243875 | − | 0.379477i | 0.697640 | − | 0.716449i | \(-0.254234\pi\) |
−0.941515 | + | 0.336972i | \(0.890597\pi\) | |||||||
\(114\) | −3.70259 | −0.346779 | ||||||||
\(115\) | 8.94115 | + | 5.92079i | 0.833767 | + | 0.552116i | ||||
\(116\) | −8.47952 | −0.787304 | ||||||||
\(117\) | 6.19601 | + | 9.64119i | 0.572822 | + | 0.891328i | ||||
\(118\) | −1.90309 | − | 0.273624i | −0.175194 | − | 0.0251891i | ||||
\(119\) | 5.02904 | − | 11.0121i | 0.461011 | − | 1.00947i | ||||
\(120\) | −0.115322 | − | 1.50009i | −0.0105274 | − | 0.136939i | ||||
\(121\) | 0.747967 | + | 1.63782i | 0.0679970 | + | 0.148893i | ||||
\(122\) | 5.16914 | − | 4.47909i | 0.467992 | − | 0.405518i | ||||
\(123\) | 6.93621 | − | 0.997276i | 0.625417 | − | 0.0899214i | ||||
\(124\) | 4.59770 | + | 1.35001i | 0.412886 | + | 0.121234i | ||||
\(125\) | 2.55080 | + | 10.8855i | 0.228150 | + | 0.973626i | ||||
\(126\) | 4.60282 | + | 2.95805i | 0.410052 | + | 0.263524i | ||||
\(127\) | 1.14551 | − | 1.78245i | 0.101648 | − | 0.158167i | −0.786704 | − | 0.617330i | \(-0.788214\pi\) |
0.888352 | + | 0.459163i | \(0.151851\pi\) | |||||||
\(128\) | −0.755750 | − | 0.654861i | −0.0667995 | − | 0.0578821i | ||||
\(129\) | 2.18642 | + | 0.641990i | 0.192503 | + | 0.0565241i | ||||
\(130\) | 10.0384 | + | 0.664239i | 0.880422 | + | 0.0582576i | ||||
\(131\) | −4.29884 | − | 4.96113i | −0.375591 | − | 0.433456i | 0.536212 | − | 0.844084i | \(-0.319855\pi\) |
−0.911803 | + | 0.410628i | \(0.865309\pi\) | |||||||
\(132\) | −2.18974 | + | 1.00002i | −0.190592 | + | 0.0870406i | ||||
\(133\) | −3.33004 | − | 11.3411i | −0.288751 | − | 0.983395i | ||||
\(134\) | −0.357101 | + | 0.781941i | −0.0308488 | + | 0.0675494i | ||||
\(135\) | −2.87494 | + | 7.83520i | −0.247435 | + | 0.674347i | ||||
\(136\) | 4.74144 | − | 3.04714i | 0.406575 | − | 0.261290i | ||||
\(137\) | 6.32163i | 0.540093i | 0.962847 | + | 0.270047i | \(0.0870391\pi\) | ||||
−0.962847 | + | 0.270047i | \(0.912961\pi\) | |||||||
\(138\) | 3.13947 | + | 0.745782i | 0.267249 | + | 0.0634852i | ||||
\(139\) | −11.5195 | −0.977069 | −0.488534 | − | 0.872545i | \(-0.662468\pi\) | ||||
−0.488534 | + | 0.872545i | \(0.662468\pi\) | |||||||
\(140\) | 4.49108 | − | 1.70239i | 0.379566 | − | 0.143878i | ||||
\(141\) | −1.02509 | + | 7.12962i | −0.0863277 | + | 0.600423i | ||||
\(142\) | −7.94406 | − | 3.62793i | −0.666651 | − | 0.304449i | ||||
\(143\) | −4.53500 | − | 15.4448i | −0.379236 | − | 1.29156i | ||||
\(144\) | 1.05818 | + | 2.31709i | 0.0881817 | + | 0.193091i | ||||
\(145\) | 16.5928 | − | 9.17544i | 1.37796 | − | 0.761979i | ||||
\(146\) | −0.904592 | − | 6.29158i | −0.0748646 | − | 0.520695i | ||||
\(147\) | −0.452371 | + | 1.54063i | −0.0373109 | + | 0.127069i | ||||
\(148\) | −6.29918 | − | 5.45827i | −0.517790 | − | 0.448667i | ||||
\(149\) | 11.1553 | + | 7.16911i | 0.913882 | + | 0.587316i | 0.910876 | − | 0.412679i | \(-0.135407\pi\) |
0.00300539 | + | 0.999995i | \(0.499043\pi\) | |||||||
\(150\) | 1.84887 | + | 2.81062i | 0.150960 | + | 0.229486i | ||||
\(151\) | 11.3340 | − | 13.0801i | 0.922344 | − | 1.06444i | −0.0753891 | − | 0.997154i | \(-0.524020\pi\) |
0.997734 | − | 0.0672881i | \(-0.0214346\pi\) | |||||||
\(152\) | 1.55035 | − | 5.28000i | 0.125750 | − | 0.428265i | ||||
\(153\) | −14.2108 | + | 2.04320i | −1.14887 | + | 0.165183i | ||||
\(154\) | −5.03248 | − | 5.80780i | −0.405529 | − | 0.468006i | ||||
\(155\) | −10.4577 | + | 2.33333i | −0.839979 | + | 0.187417i | ||||
\(156\) | 2.90456 | − | 0.852857i | 0.232551 | − | 0.0682832i | ||||
\(157\) | 2.37044 | + | 1.08254i | 0.189182 | + | 0.0863965i | 0.507754 | − | 0.861502i | \(-0.330476\pi\) |
−0.318572 | + | 0.947899i | \(0.603203\pi\) | |||||||
\(158\) | 14.5351 | + | 2.08983i | 1.15635 | + | 0.166258i | ||||
\(159\) | −2.99907 | + | 1.92739i | −0.237842 | + | 0.152852i | ||||
\(160\) | 2.18747 | + | 0.463667i | 0.172934 | + | 0.0366561i | ||||
\(161\) | 0.539242 | + | 10.2870i | 0.0424982 | + | 0.810727i | ||||
\(162\) | − | 5.13051i | − | 0.403091i | ||||||
\(163\) | 0.103171 | + | 0.160537i | 0.00808097 | + | 0.0125742i | 0.845271 | − | 0.534339i | \(-0.179439\pi\) |
−0.837190 | + | 0.546913i | \(0.815803\pi\) | |||||||
\(164\) | −1.48219 | + | 10.3088i | −0.115739 | + | 0.804984i | ||||
\(165\) | 3.20282 | − | 4.32631i | 0.249339 | − | 0.336803i | ||||
\(166\) | −6.35109 | + | 1.86485i | −0.492941 | + | 0.144740i | ||||
\(167\) | −3.82072 | + | 1.74487i | −0.295657 | + | 0.135022i | −0.557721 | − | 0.830029i | \(-0.688324\pi\) |
0.262064 | + | 0.965050i | \(0.415597\pi\) | |||||||
\(168\) | 1.09222 | − | 0.946414i | 0.0842666 | − | 0.0730174i | ||||
\(169\) | 1.03064 | + | 7.16823i | 0.0792797 | + | 0.551403i | ||||
\(170\) | −5.98090 | + | 11.0933i | −0.458714 | + | 0.850814i | ||||
\(171\) | −9.17950 | + | 10.5937i | −0.701974 | + | 0.810121i | ||||
\(172\) | −1.83100 | + | 2.84909i | −0.139612 | + | 0.217241i | ||||
\(173\) | −6.93676 | + | 10.7938i | −0.527392 | + | 0.820638i | −0.998098 | − | 0.0616525i | \(-0.980363\pi\) |
0.470706 | + | 0.882290i | \(0.343999\pi\) | |||||||
\(174\) | 3.73622 | − | 4.31183i | 0.283242 | − | 0.326879i | ||||
\(175\) | −6.94611 | + | 8.19093i | −0.525077 | + | 0.619176i | ||||
\(176\) | −0.509172 | − | 3.54137i | −0.0383803 | − | 0.266941i | ||||
\(177\) | 0.977674 | − | 0.847159i | 0.0734865 | − | 0.0636764i | ||||
\(178\) | 3.97650 | − | 1.81601i | 0.298051 | − | 0.136115i | ||||
\(179\) | 18.1063 | − | 5.31648i | 1.35332 | − | 0.397372i | 0.476920 | − | 0.878947i | \(-0.341753\pi\) |
0.876405 | + | 0.481575i | \(0.159935\pi\) | |||||||
\(180\) | −4.57792 | − | 3.38909i | −0.341218 | − | 0.252608i | ||||
\(181\) | −0.448621 | + | 3.12022i | −0.0333457 | + | 0.231924i | −0.999678 | − | 0.0253726i | \(-0.991923\pi\) |
0.966332 | + | 0.257297i | \(0.0828319\pi\) | |||||||
\(182\) | 5.22462 | + | 8.12966i | 0.387274 | + | 0.602611i | ||||
\(183\) | 4.60207i | 0.340195i | ||||||||
\(184\) | −2.37807 | + | 4.16471i | −0.175314 | + | 0.307026i | ||||
\(185\) | 18.2326 | + | 3.86467i | 1.34049 | + | 0.284136i | ||||
\(186\) | −2.71231 | + | 1.74309i | −0.198876 | + | 0.127810i | ||||
\(187\) | 19.9597 | + | 2.86977i | 1.45960 | + | 0.209859i | ||||
\(188\) | −9.73784 | − | 4.44712i | −0.710205 | − | 0.324340i | ||||
\(189\) | −7.69227 | + | 2.25865i | −0.559530 | + | 0.164293i | ||||
\(190\) | 2.67959 | + | 12.0096i | 0.194398 | + | 0.871266i | ||||
\(191\) | 0.0925216 | + | 0.106776i | 0.00669462 | + | 0.00772601i | 0.759087 | − | 0.650989i | \(-0.225646\pi\) |
−0.752392 | + | 0.658715i | \(0.771100\pi\) | |||||||
\(192\) | 0.665993 | − | 0.0957553i | 0.0480639 | − | 0.00691055i | ||||
\(193\) | −4.15927 | + | 14.1652i | −0.299391 | + | 1.01963i | 0.663148 | + | 0.748489i | \(0.269220\pi\) |
−0.962539 | + | 0.271144i | \(0.912598\pi\) | |||||||
\(194\) | −3.52635 | + | 4.06962i | −0.253177 | + | 0.292182i | ||||
\(195\) | −4.76084 | + | 4.81182i | −0.340931 | + | 0.344582i | ||||
\(196\) | −2.00758 | − | 1.29019i | −0.143398 | − | 0.0921565i | ||||
\(197\) | −1.53751 | − | 1.33226i | −0.109543 | − | 0.0949194i | 0.598367 | − | 0.801222i | \(-0.295816\pi\) |
−0.707910 | + | 0.706303i | \(0.750362\pi\) | |||||||
\(198\) | −2.56761 | + | 8.74446i | −0.182472 | + | 0.621442i | ||||
\(199\) | −1.74376 | − | 12.1281i | −0.123612 | − | 0.859740i | −0.953410 | − | 0.301677i | \(-0.902454\pi\) |
0.829798 | − | 0.558063i | \(-0.188455\pi\) | |||||||
\(200\) | −4.78219 | + | 1.45968i | −0.338152 | + | 0.103215i | ||||
\(201\) | −0.240272 | − | 0.526123i | −0.0169475 | − | 0.0371098i | ||||
\(202\) | 3.60777 | + | 12.2869i | 0.253842 | + | 0.864507i | ||||
\(203\) | 16.5675 | + | 7.56611i | 1.16281 | + | 0.531037i | ||||
\(204\) | −0.539693 | + | 3.75365i | −0.0377860 | + | 0.262808i | ||||
\(205\) | −8.25452 | − | 21.7763i | −0.576521 | − | 1.52092i | ||||
\(206\) | −14.2500 | −0.992846 | ||||||||
\(207\) | 9.91721 | − | 7.13358i | 0.689294 | − | 0.495818i | ||||
\(208\) | 4.49911i | 0.311957i | ||||||||
\(209\) | 16.5628 | − | 10.6443i | 1.14567 | − | 0.736278i | ||||
\(210\) | −1.11319 | + | 3.03382i | −0.0768171 | + | 0.209353i | ||||
\(211\) | 0.488377 | − | 1.06940i | 0.0336212 | − | 0.0736202i | −0.892076 | − | 0.451885i | \(-0.850752\pi\) |
0.925698 | + | 0.378265i | \(0.123479\pi\) | |||||||
\(212\) | −1.49274 | − | 5.08381i | −0.102522 | − | 0.349158i | ||||
\(213\) | 5.34509 | − | 2.44102i | 0.366240 | − | 0.167256i | ||||
\(214\) | 2.57620 | + | 2.97310i | 0.176106 | + | 0.203237i | ||||
\(215\) | 0.500008 | − | 7.55640i | 0.0341003 | − | 0.515342i | ||||
\(216\) | −3.58125 | − | 1.05155i | −0.243673 | − | 0.0715490i | ||||
\(217\) | −7.77851 | − | 6.74012i | −0.528040 | − | 0.457549i | ||||
\(218\) | −5.30733 | + | 8.25837i | −0.359458 | + | 0.559327i | ||||
\(219\) | 3.59784 | + | 2.31219i | 0.243120 | + | 0.156244i | ||||
\(220\) | 4.82836 | + | 6.37884i | 0.325528 | + | 0.430061i | ||||
\(221\) | −24.3305 | − | 7.14409i | −1.63665 | − | 0.480563i | ||||
\(222\) | 5.55106 | − | 0.798122i | 0.372563 | − | 0.0535665i | ||||
\(223\) | 4.77158 | − | 4.13460i | 0.319529 | − | 0.276873i | −0.480296 | − | 0.877106i | \(-0.659471\pi\) |
0.799825 | + | 0.600233i | \(0.204925\pi\) | |||||||
\(224\) | 0.892281 | + | 1.95382i | 0.0596180 | + | 0.130545i | ||||
\(225\) | 12.6254 | + | 1.67819i | 0.841692 | + | 0.111880i | ||||
\(226\) | −1.99196 | + | 4.36178i | −0.132503 | + | 0.290141i | ||||
\(227\) | −14.0217 | − | 2.01602i | −0.930653 | − | 0.133808i | −0.339718 | − | 0.940527i | \(-0.610332\pi\) |
−0.590934 | + | 0.806720i | \(0.701241\pi\) | |||||||
\(228\) | 2.00177 | + | 3.11481i | 0.132570 | + | 0.206284i | ||||
\(229\) | −19.7975 | −1.30826 | −0.654129 | − | 0.756383i | \(-0.726964\pi\) | ||||
−0.654129 | + | 0.756383i | \(0.726964\pi\) | |||||||
\(230\) | 0.146932 | − | 10.7228i | 0.00968839 | − | 0.707040i | ||||
\(231\) | 5.17066 | 0.340205 | ||||||||
\(232\) | 4.58437 | + | 7.13343i | 0.300979 | + | 0.468332i | ||||
\(233\) | −3.18877 | − | 0.458476i | −0.208903 | − | 0.0300358i | 0.0370686 | − | 0.999313i | \(-0.488198\pi\) |
−0.245972 | + | 0.969277i | \(0.579107\pi\) | |||||||
\(234\) | 4.76086 | − | 10.4248i | 0.311227 | − | 0.681493i | ||||
\(235\) | 23.8672 | − | 1.83484i | 1.55693 | − | 0.119692i | ||||
\(236\) | 0.798703 | + | 1.74892i | 0.0519912 | + | 0.113845i | ||||
\(237\) | −7.46711 | + | 6.47029i | −0.485041 | + | 0.420290i | ||||
\(238\) | −11.9828 | + | 1.72287i | −0.776732 | + | 0.111677i | ||||
\(239\) | 24.3595 | + | 7.15258i | 1.57568 | + | 0.462662i | 0.948649 | − | 0.316331i | \(-0.102451\pi\) |
0.627033 | + | 0.778993i | \(0.284269\pi\) | |||||||
\(240\) | −1.19961 | + | 0.908027i | −0.0774345 | + | 0.0586129i | ||||
\(241\) | 7.58766 | + | 4.87629i | 0.488764 | + | 0.314110i | 0.761708 | − | 0.647920i | \(-0.224361\pi\) |
−0.272944 | + | 0.962030i | \(0.587997\pi\) | |||||||
\(242\) | 0.973439 | − | 1.51470i | 0.0625751 | − | 0.0973687i | ||||
\(243\) | 11.0712 | + | 9.59328i | 0.710220 | + | 0.615409i | ||||
\(244\) | −6.56270 | − | 1.92698i | −0.420134 | − | 0.123362i | ||||
\(245\) | 5.32453 | + | 0.352325i | 0.340172 | + | 0.0225092i | ||||
\(246\) | −4.58896 | − | 5.29594i | −0.292581 | − | 0.337657i | ||||
\(247\) | −22.5208 | + | 10.2849i | −1.43297 | + | 0.654414i | ||||
\(248\) | −1.35001 | − | 4.59770i | −0.0857256 | − | 0.291955i | ||||
\(249\) | 1.85013 | − | 4.05122i | 0.117247 | − | 0.256735i | ||||
\(250\) | 7.77837 | − | 8.03100i | 0.491948 | − | 0.507925i | ||||
\(251\) | −10.3132 | + | 6.62787i | −0.650961 | + | 0.418347i | −0.824017 | − | 0.566565i | \(-0.808272\pi\) |
0.173056 | + | 0.984912i | \(0.444636\pi\) | |||||||
\(252\) | − | 5.47138i | − | 0.344665i | ||||||
\(253\) | −16.1878 | + | 5.68929i | −1.01772 | + | 0.357683i | ||||
\(254\) | −2.11881 | −0.132946 | ||||||||
\(255\) | −3.00563 | − | 7.92917i | −0.188220 | − | 0.496544i | ||||
\(256\) | −0.142315 | + | 0.989821i | −0.00889468 | + | 0.0618638i | ||||
\(257\) | 22.2902 | + | 10.1796i | 1.39043 | + | 0.634986i | 0.963108 | − | 0.269115i | \(-0.0867312\pi\) |
0.427318 | + | 0.904101i | \(0.359458\pi\) | |||||||
\(258\) | −0.641990 | − | 2.18642i | −0.0399686 | − | 0.136120i | ||||
\(259\) | 7.43718 | + | 16.2851i | 0.462124 | + | 1.01191i | ||||
\(260\) | −4.86835 | − | 8.80391i | −0.301922 | − | 0.545996i | ||||
\(261\) | −3.07396 | − | 21.3799i | −0.190274 | − | 1.32338i | ||||
\(262\) | −1.84944 | + | 6.29860i | −0.114259 | + | 0.389129i | ||||
\(263\) | 12.8796 | + | 11.1602i | 0.794191 | + | 0.688170i | 0.954274 | − | 0.298933i | \(-0.0966309\pi\) |
−0.160083 | + | 0.987103i | \(0.551176\pi\) | |||||||
\(264\) | 2.02513 | + | 1.30147i | 0.124638 | + | 0.0801002i | ||||
\(265\) | 8.42206 | + | 8.33282i | 0.517363 | + | 0.511881i | ||||
\(266\) | −7.74036 | + | 8.93285i | −0.474592 | + | 0.547708i | ||||
\(267\) | −0.828676 | + | 2.82221i | −0.0507142 | + | 0.172717i | ||||
\(268\) | 0.850874 | − | 0.122337i | 0.0519754 | − | 0.00747294i | ||||
\(269\) | −18.8639 | − | 21.7701i | −1.15015 | − | 1.32735i | −0.936594 | − | 0.350416i | \(-0.886040\pi\) |
−0.213558 | − | 0.976930i | \(-0.568505\pi\) | |||||||
\(270\) | 8.14570 | − | 1.81748i | 0.495732 | − | 0.110608i | ||||
\(271\) | −30.8450 | + | 9.05690i | −1.87370 | + | 0.550168i | −0.876004 | + | 0.482303i | \(0.839800\pi\) |
−0.997695 | + | 0.0678644i | \(0.978381\pi\) | |||||||
\(272\) | −5.12683 | − | 2.34135i | −0.310860 | − | 0.141965i | ||||
\(273\) | −6.43599 | − | 0.925356i | −0.389524 | − | 0.0560051i | ||||
\(274\) | 5.31809 | − | 3.41773i | 0.321278 | − | 0.206473i | ||||
\(275\) | −16.3506 | − | 7.25757i | −0.985976 | − | 0.437648i | ||||
\(276\) | −1.06993 | − | 3.04429i | −0.0644025 | − | 0.183245i | ||||
\(277\) | 5.64509i | 0.339180i | 0.985515 | + | 0.169590i | \(0.0542444\pi\) | ||||
−0.985515 | + | 0.169590i | \(0.945756\pi\) | |||||||
\(278\) | 6.22790 | + | 9.69079i | 0.373524 | + | 0.581215i | ||||
\(279\) | −1.73711 | + | 12.0819i | −0.103998 | + | 0.723322i | ||||
\(280\) | −3.86020 | − | 2.85776i | −0.230691 | − | 0.170784i | ||||
\(281\) | 10.5515 | − | 3.09821i | 0.629451 | − | 0.184824i | 0.0485803 | − | 0.998819i | \(-0.484530\pi\) |
0.580871 | + | 0.813996i | \(0.302712\pi\) | |||||||
\(282\) | 6.55202 | − | 2.99221i | 0.390167 | − | 0.178183i | ||||
\(283\) | −3.92812 | + | 3.40373i | −0.233502 | + | 0.202331i | −0.763751 | − | 0.645512i | \(-0.776644\pi\) |
0.530248 | + | 0.847843i | \(0.322099\pi\) | |||||||
\(284\) | 1.24287 | + | 8.64438i | 0.0737510 | + | 0.512949i | ||||
\(285\) | −7.28754 | − | 3.92906i | −0.431677 | − | 0.232737i | ||||
\(286\) | −10.5412 | + | 12.1652i | −0.623313 | + | 0.719341i | ||||
\(287\) | 12.0943 | − | 18.8191i | 0.713904 | − | 1.11086i | ||||
\(288\) | 1.37717 | − | 2.14291i | 0.0811503 | − | 0.126272i | ||||
\(289\) | 9.66989 | − | 11.1597i | 0.568817 | − | 0.656450i | ||||
\(290\) | −16.6896 | − | 8.99817i | −0.980049 | − | 0.528391i | ||||
\(291\) | −0.515631 | − | 3.58630i | −0.0302268 | − | 0.210232i | ||||
\(292\) | −4.80375 | + | 4.16247i | −0.281118 | + | 0.243590i | ||||
\(293\) | −9.44334 | + | 4.31263i | −0.551686 | + | 0.251947i | −0.671697 | − | 0.740826i | \(-0.734434\pi\) |
0.120011 | + | 0.992773i | \(0.461707\pi\) | |||||||
\(294\) | 1.54063 | − | 0.452371i | 0.0898516 | − | 0.0263828i | ||||
\(295\) | −3.45536 | − | 2.55805i | −0.201179 | − | 0.148936i | ||||
\(296\) | −1.18620 | + | 8.25018i | −0.0689463 | + | 0.479532i | ||||
\(297\) | −7.21965 | − | 11.2340i | −0.418926 | − | 0.651862i | ||||
\(298\) | − | 13.2604i | − | 0.768154i | ||||||
\(299\) | 21.1673 | − | 4.18452i | 1.22414 | − | 0.241997i | ||||
\(300\) | 1.36487 | − | 3.07490i | 0.0788006 | − | 0.177530i | ||||
\(301\) | 6.11963 | − | 3.93285i | 0.352729 | − | 0.226685i | ||||
\(302\) | −17.1313 | − | 2.46310i | −0.985794 | − | 0.141736i | ||||
\(303\) | −7.83756 | − | 3.57929i | −0.450256 | − | 0.205625i | ||||
\(304\) | −5.28000 | + | 1.55035i | −0.302829 | + | 0.0889186i | ||||
\(305\) | 14.9271 | − | 3.33056i | 0.854724 | − | 0.190707i | ||||
\(306\) | 9.40178 | + | 10.8502i | 0.537464 | + | 0.620266i | ||||
\(307\) | 0.941037 | − | 0.135301i | 0.0537078 | − | 0.00772202i | −0.115409 | − | 0.993318i | \(-0.536818\pi\) |
0.169116 | + | 0.985596i | \(0.445909\pi\) | |||||||
\(308\) | −2.16506 | + | 7.37353i | −0.123366 | + | 0.420146i | ||||
\(309\) | 6.27881 | − | 7.24613i | 0.357189 | − | 0.412218i | ||||
\(310\) | 7.61676 | + | 7.53605i | 0.432603 | + | 0.428019i | ||||
\(311\) | −3.48282 | − | 2.23827i | −0.197492 | − | 0.126921i | 0.438157 | − | 0.898898i | \(-0.355631\pi\) |
−0.635650 | + | 0.771978i | \(0.719268\pi\) | |||||||
\(312\) | −2.28779 | − | 1.98238i | −0.129521 | − | 0.112230i | ||||
\(313\) | −2.67304 | + | 9.10353i | −0.151089 | + | 0.514562i | −0.999900 | − | 0.0141343i | \(-0.995501\pi\) |
0.848811 | + | 0.528696i | \(0.177319\pi\) | |||||||
\(314\) | −0.370863 | − | 2.57941i | −0.0209290 | − | 0.145565i | ||||
\(315\) | 5.92042 | + | 10.7065i | 0.333578 | + | 0.603242i | ||||
\(316\) | −6.10020 | − | 13.3576i | −0.343163 | − | 0.751422i | ||||
\(317\) | −4.00899 | − | 13.6534i | −0.225167 | − | 0.766850i | −0.992136 | − | 0.125165i | \(-0.960054\pi\) |
0.766969 | − | 0.641685i | \(-0.221764\pi\) | |||||||
\(318\) | 3.24284 | + | 1.48096i | 0.181850 | + | 0.0830480i | ||||
\(319\) | −4.31753 | + | 30.0291i | −0.241735 | + | 1.68131i | ||||
\(320\) | −0.792573 | − | 2.09089i | −0.0443062 | − | 0.116884i | ||||
\(321\) | −2.64694 | −0.147738 | ||||||||
\(322\) | 8.36242 | − | 6.01520i | 0.466019 | − | 0.335214i | ||||
\(323\) | − | 31.0153i | − | 1.72574i | ||||||
\(324\) | −4.31606 | + | 2.77376i | −0.239781 | + | 0.154098i | ||||
\(325\) | 19.0529 | + | 11.9597i | 1.05687 | + | 0.663406i | ||||
\(326\) | 0.0792739 | − | 0.173586i | 0.00439058 | − | 0.00961402i | ||||
\(327\) | −1.86087 | − | 6.33756i | −0.102907 | − | 0.350468i | ||||
\(328\) | 9.47367 | − | 4.32648i | 0.523096 | − | 0.238890i | ||||
\(329\) | 15.0579 | + | 17.3778i | 0.830171 | + | 0.958068i | ||||
\(330\) | −5.37110 | − | 0.355406i | −0.295669 | − | 0.0195645i | ||||
\(331\) | −8.51959 | − | 2.50158i | −0.468279 | − | 0.137499i | 0.0390760 | − | 0.999236i | \(-0.487559\pi\) |
−0.507355 | + | 0.861737i | \(0.669377\pi\) | |||||||
\(332\) | 5.00247 | + | 4.33467i | 0.274546 | + | 0.237896i | ||||
\(333\) | 11.4787 | − | 17.8612i | 0.629029 | − | 0.978788i | ||||
\(334\) | 3.53351 | + | 2.27085i | 0.193345 | + | 0.124255i | ||||
\(335\) | −1.53263 | + | 1.16010i | −0.0837363 | + | 0.0633829i | ||||
\(336\) | −1.38667 | − | 0.407164i | −0.0756492 | − | 0.0222126i | ||||
\(337\) | 13.2132 | − | 1.89977i | 0.719769 | − | 0.103487i | 0.227310 | − | 0.973823i | \(-0.427007\pi\) |
0.492459 | + | 0.870335i | \(0.336098\pi\) | |||||||
\(338\) | 5.47310 | − | 4.74247i | 0.297697 | − | 0.257956i | ||||
\(339\) | −1.34027 | − | 2.93478i | −0.0727935 | − | 0.159396i | ||||
\(340\) | 12.5658 | − | 0.966015i | 0.681474 | − | 0.0523895i | ||||
\(341\) | 7.12189 | − | 15.5948i | 0.385672 | − | 0.844504i | ||||
\(342\) | 13.8748 | + | 1.99490i | 0.750263 | + | 0.107872i | ||||
\(343\) | 10.9000 | + | 16.9608i | 0.588547 | + | 0.915796i | ||||
\(344\) | 3.38671 | 0.182599 | ||||||||
\(345\) | 5.38780 | + | 4.79937i | 0.290069 | + | 0.258389i | ||||
\(346\) | 12.8306 | 0.689778 | ||||||||
\(347\) | −11.7438 | − | 18.2737i | −0.630441 | − | 0.980985i | −0.998686 | − | 0.0512563i | \(-0.983677\pi\) |
0.368245 | − | 0.929729i | \(-0.379959\pi\) | |||||||
\(348\) | −5.64730 | − | 0.811959i | −0.302727 | − | 0.0435256i | ||||
\(349\) | 1.38811 | − | 3.03954i | 0.0743040 | − | 0.162703i | −0.868835 | − | 0.495102i | \(-0.835131\pi\) |
0.943139 | + | 0.332399i | \(0.107858\pi\) | |||||||
\(350\) | 10.6460 | + | 1.41509i | 0.569053 | + | 0.0756398i | ||||
\(351\) | 6.97592 | + | 15.2751i | 0.372347 | + | 0.815326i | ||||
\(352\) | −2.70391 | + | 2.34295i | −0.144119 | + | 0.124880i | ||||
\(353\) | −18.8209 | + | 2.70604i | −1.00174 | + | 0.144028i | −0.623618 | − | 0.781729i | \(-0.714338\pi\) |
−0.378118 | + | 0.925757i | \(0.623429\pi\) | |||||||
\(354\) | −1.24125 | − | 0.364463i | −0.0659715 | − | 0.0193710i | ||||
\(355\) | −11.7859 | − | 15.5706i | −0.625531 | − | 0.826400i | ||||
\(356\) | −3.67758 | − | 2.36344i | −0.194911 | − | 0.125262i | ||||
\(357\) | 4.40377 | − | 6.85240i | 0.233072 | − | 0.362668i | ||||
\(358\) | −14.2615 | − | 12.3576i | −0.753743 | − | 0.653122i | ||||
\(359\) | −2.06521 | − | 0.606402i | −0.108998 | − | 0.0320047i | 0.226779 | − | 0.973946i | \(-0.427181\pi\) |
−0.335777 | + | 0.941942i | \(0.608999\pi\) | |||||||
\(360\) | −0.376076 | + | 5.68347i | −0.0198210 | + | 0.299545i | ||||
\(361\) | −7.38816 | − | 8.52639i | −0.388850 | − | 0.448757i | ||||
\(362\) | 2.86744 | − | 1.30952i | 0.150709 | − | 0.0688267i | ||||
\(363\) | 0.341311 | + | 1.16240i | 0.0179142 | + | 0.0610100i | ||||
\(364\) | 4.01447 | − | 8.79046i | 0.210415 | − | 0.460745i | ||||
\(365\) | 4.89596 | − | 13.3432i | 0.256266 | − | 0.698415i | ||||
\(366\) | 3.87151 | − | 2.48807i | 0.202367 | − | 0.130053i | ||||
\(367\) | 11.6141i | 0.606252i | 0.952951 | + | 0.303126i | \(0.0980303\pi\) | ||||
−0.952951 | + | 0.303126i | \(0.901970\pi\) | |||||||
\(368\) | 4.78926 | − | 0.251052i | 0.249657 | − | 0.0130870i | ||||
\(369\) | −26.5296 | −1.38107 | ||||||||
\(370\) | −6.60611 | − | 17.4276i | −0.343435 | − | 0.906019i | ||||
\(371\) | −1.61964 | + | 11.2648i | −0.0840873 | + | 0.584840i | ||||
\(372\) | 2.93277 | + | 1.33935i | 0.152057 | + | 0.0694421i | ||||
\(373\) | 0.666115 | + | 2.26858i | 0.0344901 | + | 0.117463i | 0.974939 | − | 0.222473i | \(-0.0714129\pi\) |
−0.940449 | + | 0.339936i | \(0.889595\pi\) | |||||||
\(374\) | −8.37683 | − | 18.3427i | −0.433156 | − | 0.948478i | ||||
\(375\) | 0.656472 | + | 7.49390i | 0.0339001 | + | 0.386983i | ||||
\(376\) | 1.52352 | + | 10.5963i | 0.0785693 | + | 0.546462i | ||||
\(377\) | 10.7482 | − | 36.6049i | 0.553559 | − | 1.88525i | ||||
\(378\) | 6.05886 | + | 5.25003i | 0.311634 | + | 0.270032i | ||||
\(379\) | −12.2007 | − | 7.84092i | −0.626708 | − | 0.402761i | 0.188381 | − | 0.982096i | \(-0.439676\pi\) |
−0.815090 | + | 0.579335i | \(0.803312\pi\) | |||||||
\(380\) | 8.65440 | − | 8.74708i | 0.443961 | − | 0.448716i | ||||
\(381\) | 0.933584 | − | 1.07741i | 0.0478289 | − | 0.0551975i | ||||
\(382\) | 0.0398044 | − | 0.135561i | 0.00203657 | − | 0.00693592i | ||||
\(383\) | 16.3972 | − | 2.35757i | 0.837860 | − | 0.120466i | 0.289990 | − | 0.957030i | \(-0.406348\pi\) |
0.547870 | + | 0.836564i | \(0.315439\pi\) | |||||||
\(384\) | −0.440618 | − | 0.508500i | −0.0224852 | − | 0.0259493i | ||||
\(385\) | −3.74205 | − | 16.7714i | −0.190713 | − | 0.854748i | ||||
\(386\) | 14.1652 | − | 4.15927i | 0.720989 | − | 0.211701i | ||||
\(387\) | −7.84733 | − | 3.58375i | −0.398902 | − | 0.182172i | ||||
\(388\) | 5.33007 | + | 0.766349i | 0.270593 | + | 0.0389055i | ||||
\(389\) | −13.0419 | + | 8.38153i | −0.661251 | + | 0.424960i | −0.827762 | − | 0.561079i | \(-0.810386\pi\) |
0.166511 | + | 0.986040i | \(0.446750\pi\) | |||||||
\(390\) | 6.62187 | + | 1.40360i | 0.335311 | + | 0.0710743i | ||||
\(391\) | −6.24716 | + | 26.2983i | −0.315932 | + | 1.32996i | ||||
\(392\) | 2.38641i | 0.120532i | ||||||||
\(393\) | −2.38794 | − | 3.71571i | −0.120456 | − | 0.187433i | ||||
\(394\) | −0.289527 | + | 2.01371i | −0.0145862 | + | 0.101449i | ||||
\(395\) | 26.3908 | + | 19.5374i | 1.32786 | + | 0.983035i | ||||
\(396\) | 8.74446 | − | 2.56761i | 0.439426 | − | 0.129027i | ||||
\(397\) | −20.7499 | + | 9.47616i | −1.04141 | + | 0.475595i | −0.861324 | − | 0.508056i | \(-0.830364\pi\) |
−0.180084 | + | 0.983651i | \(0.557637\pi\) | |||||||
\(398\) | −9.26008 | + | 8.02391i | −0.464166 | + | 0.402202i | ||||
\(399\) | −1.13181 | − | 7.87194i | −0.0566616 | − | 0.394090i | ||||
\(400\) | 3.81341 | + | 3.23387i | 0.190671 | + | 0.161693i | ||||
\(401\) | −15.8763 | + | 18.3222i | −0.792824 | + | 0.914967i | −0.997965 | − | 0.0637652i | \(-0.979689\pi\) |
0.205141 | + | 0.978732i | \(0.434235\pi\) | |||||||
\(402\) | −0.312702 | + | 0.486573i | −0.0155961 | + | 0.0242681i | ||||
\(403\) | −11.6556 | + | 18.1364i | −0.580606 | + | 0.903441i | ||||
\(404\) | 8.38593 | − | 9.67788i | 0.417215 | − | 0.481492i | ||||
\(405\) | 5.44432 | − | 10.0980i | 0.270530 | − | 0.501775i | ||||
\(406\) | −2.59204 | − | 18.0280i | −0.128641 | − | 0.894715i | ||||
\(407\) | −22.5371 | + | 19.5285i | −1.11712 | + | 0.967993i | ||||
\(408\) | 3.44955 | − | 1.57536i | 0.170778 | − | 0.0779917i | ||||
\(409\) | 8.25387 | − | 2.42355i | 0.408128 | − | 0.119837i | −0.0712233 | − | 0.997460i | \(-0.522690\pi\) |
0.479351 | + | 0.877623i | \(0.340872\pi\) | |||||||
\(410\) | −13.8567 | + | 18.7173i | −0.684332 | + | 0.924382i | ||||
\(411\) | −0.605330 | + | 4.21016i | −0.0298587 | + | 0.207672i | ||||
\(412\) | 7.70414 | + | 11.9879i | 0.379556 | + | 0.590600i | ||||
\(413\) | − | 4.12974i | − | 0.203211i | ||||||
\(414\) | −11.3628 | − | 4.48618i | −0.558451 | − | 0.220484i | ||||
\(415\) | −14.4793 | − | 3.06911i | −0.710762 | − | 0.150657i | ||||
\(416\) | 3.78489 | − | 2.43240i | 0.185569 | − | 0.119258i | ||||
\(417\) | −7.67189 | − | 1.10305i | −0.375694 | − | 0.0540166i | ||||
\(418\) | −17.9090 | − | 8.17878i | −0.875959 | − | 0.400037i | ||||
\(419\) | −11.4519 | + | 3.36258i | −0.559462 | + | 0.164273i | −0.549225 | − | 0.835675i | \(-0.685077\pi\) |
−0.0102374 | + | 0.999948i | \(0.503259\pi\) | |||||||
\(420\) | 3.15404 | − | 0.703734i | 0.153902 | − | 0.0343387i | ||||
\(421\) | −4.03795 | − | 4.66005i | −0.196798 | − | 0.227117i | 0.648770 | − | 0.760984i | \(-0.275284\pi\) |
−0.845568 | + | 0.533867i | \(0.820738\pi\) | |||||||
\(422\) | −1.16367 | + | 0.167310i | −0.0566465 | + | 0.00814454i | ||||
\(423\) | 7.68266 | − | 26.1647i | 0.373543 | − | 1.27217i | ||||
\(424\) | −3.46974 | + | 4.00429i | −0.168505 | + | 0.194465i | ||||
\(425\) | −23.5436 | + | 15.4874i | −1.14203 | + | 0.751247i | ||||
\(426\) | −4.94330 | − | 3.17686i | −0.239503 | − | 0.153920i | ||||
\(427\) | 11.1029 | + | 9.62076i | 0.537309 | + | 0.465581i | ||||
\(428\) | 1.10833 | − | 3.77462i | 0.0535730 | − | 0.182453i | ||||
\(429\) | −1.54136 | − | 10.7204i | −0.0744174 | − | 0.517584i | ||||
\(430\) | −6.62717 | + | 3.66466i | −0.319591 | + | 0.176726i | ||||
\(431\) | −15.2065 | − | 33.2976i | −0.732472 | − | 1.60389i | −0.795554 | − | 0.605882i | \(-0.792820\pi\) |
0.0630819 | − | 0.998008i | \(-0.479907\pi\) | |||||||
\(432\) | 1.05155 | + | 3.58125i | 0.0505928 | + | 0.172303i | ||||
\(433\) | −4.22009 | − | 1.92725i | −0.202804 | − | 0.0926177i | 0.311424 | − | 0.950271i | \(-0.399194\pi\) |
−0.514228 | + | 0.857654i | \(0.671921\pi\) | |||||||
\(434\) | −1.46477 | + | 10.1877i | −0.0703111 | + | 0.489025i | ||||
\(435\) | 11.9293 | − | 4.52192i | 0.571967 | − | 0.216810i | ||||
\(436\) | 9.81674 | 0.470137 | ||||||||
\(437\) | 12.2049 | + | 23.3993i | 0.583838 | + | 1.11934i | ||||
\(438\) | − | 4.27677i | − | 0.204352i | ||||||
\(439\) | 11.1991 | − | 7.19721i | 0.534502 | − | 0.343504i | −0.245383 | − | 0.969426i | \(-0.578914\pi\) |
0.779885 | + | 0.625922i | \(0.215277\pi\) | |||||||
\(440\) | 2.75581 | − | 7.51054i | 0.131378 | − | 0.358051i | ||||
\(441\) | 2.52525 | − | 5.52953i | 0.120250 | − | 0.263311i | ||||
\(442\) | 7.14409 | + | 24.3305i | 0.339810 | + | 1.15729i | ||||
\(443\) | −36.2064 | + | 16.5349i | −1.72022 | + | 0.785598i | −0.724911 | + | 0.688842i | \(0.758119\pi\) |
−0.995308 | + | 0.0967560i | \(0.969153\pi\) | |||||||
\(444\) | −3.67255 | − | 4.23835i | −0.174292 | − | 0.201143i | ||||
\(445\) | 9.75375 | + | 0.645407i | 0.462372 | + | 0.0305952i | ||||
\(446\) | −6.05796 | − | 1.77878i | −0.286853 | − | 0.0842276i | ||||
\(447\) | 6.74290 | + | 5.84276i | 0.318928 | + | 0.276353i | ||||
\(448\) | 1.16126 | − | 1.80695i | 0.0548642 | − | 0.0853704i | ||||
\(449\) | 15.3063 | + | 9.83679i | 0.722351 | + | 0.464227i | 0.849454 | − | 0.527663i | \(-0.176932\pi\) |
−0.127103 | + | 0.991890i | \(0.540568\pi\) | |||||||
\(450\) | −5.41401 | − | 11.5284i | −0.255219 | − | 0.543456i | ||||
\(451\) | 35.7527 | + | 10.4979i | 1.68353 | + | 0.494328i | ||||
\(452\) | 4.74629 | − | 0.682414i | 0.223247 | − | 0.0320980i | ||||
\(453\) | 8.80083 | − | 7.62596i | 0.413499 | − | 0.358299i | ||||
\(454\) | 5.88472 | + | 12.8857i | 0.276184 | + | 0.604758i | ||||
\(455\) | 1.65633 | + | 21.5452i | 0.0776498 | + | 1.01006i | ||||
\(456\) | 1.53811 | − | 3.36799i | 0.0720286 | − | 0.157721i | ||||
\(457\) | −35.7105 | − | 5.13439i | −1.67046 | − | 0.240177i | −0.758863 | − | 0.651251i | \(-0.774245\pi\) |
−0.911602 | + | 0.411074i | \(0.865154\pi\) | |||||||
\(458\) | 10.7033 | + | 16.6547i | 0.500135 | + | 0.778225i | ||||
\(459\) | −21.0367 | −0.981907 | ||||||||
\(460\) | −9.10003 | + | 5.67358i | −0.424291 | + | 0.264532i | ||||
\(461\) | −7.33582 | −0.341663 | −0.170832 | − | 0.985300i | \(-0.554645\pi\) | ||||
−0.170832 | + | 0.985300i | \(0.554645\pi\) | |||||||
\(462\) | −2.79547 | − | 4.34984i | −0.130057 | − | 0.202373i | ||||
\(463\) | 31.2533 | + | 4.49355i | 1.45247 | + | 0.208833i | 0.822932 | − | 0.568140i | \(-0.192337\pi\) |
0.629534 | + | 0.776973i | \(0.283246\pi\) | |||||||
\(464\) | 3.52252 | − | 7.71324i | 0.163529 | − | 0.358078i | ||||
\(465\) | −7.18816 | + | 0.552602i | −0.333343 | + | 0.0256263i | ||||
\(466\) | 1.33828 | + | 2.93043i | 0.0619948 | + | 0.135750i | ||||
\(467\) | 4.83467 | − | 4.18927i | 0.223722 | − | 0.193856i | −0.535787 | − | 0.844353i | \(-0.679985\pi\) |
0.759509 | + | 0.650497i | \(0.225439\pi\) | |||||||
\(468\) | −11.3438 | + | 1.63100i | −0.524370 | + | 0.0753930i | ||||
\(469\) | −1.77162 | − | 0.520194i | −0.0818057 | − | 0.0240203i | ||||
\(470\) | −14.4472 | − | 19.0864i | −0.666398 | − | 0.880391i | ||||
\(471\) | 1.47504 | + | 0.947950i | 0.0679662 | + | 0.0436792i | ||||
\(472\) | 1.03947 | − | 1.61745i | 0.0478455 | − | 0.0744491i | ||||
\(473\) | 9.15736 | + | 7.93490i | 0.421056 | + | 0.364847i | ||||
\(474\) | 9.48017 | + | 2.78363i | 0.435439 | + | 0.127856i | ||||
\(475\) | −7.47010 | + | 26.4811i | −0.342752 | + | 1.21504i | ||||
\(476\) | 7.92779 | + | 9.14915i | 0.363370 | + | 0.419351i | ||||
\(477\) | 12.2770 | − | 5.60670i | 0.562123 | − | 0.256713i | ||||
\(478\) | −7.15258 | − | 24.3595i | −0.327151 | − | 1.11418i | ||||
\(479\) | −7.91448 | + | 17.3303i | −0.361622 | + | 0.791842i | 0.638138 | + | 0.769922i | \(0.279705\pi\) |
−0.999760 | + | 0.0219195i | \(0.993022\pi\) | |||||||
\(480\) | 1.41244 | + | 0.518260i | 0.0644687 | + | 0.0236552i | ||||
\(481\) | 31.5471 | − | 20.2741i | 1.43842 | − | 0.924419i | ||||
\(482\) | − | 9.01947i | − | 0.410826i | ||||||
\(483\) | −0.625901 | + | 6.90269i | −0.0284795 | + | 0.314083i | ||||
\(484\) | −1.80053 | −0.0818422 | ||||||||
\(485\) | −11.2592 | + | 4.26791i | −0.511254 | + | 0.193796i | ||||
\(486\) | 2.08482 | − | 14.5002i | 0.0945694 | − | 0.657744i | ||||
\(487\) | −11.3435 | − | 5.18039i | −0.514022 | − | 0.234746i | 0.141478 | − | 0.989941i | \(-0.454815\pi\) |
−0.655500 | + | 0.755195i | \(0.727542\pi\) | |||||||
\(488\) | 1.92698 | + | 6.56270i | 0.0872304 | + | 0.297079i | ||||
\(489\) | 0.0533388 | + | 0.116796i | 0.00241206 | + | 0.00528168i | ||||
\(490\) | −2.58226 | − | 4.66976i | −0.116655 | − | 0.210958i | ||||
\(491\) | 1.90943 | + | 13.2804i | 0.0861715 | + | 0.599336i | 0.986455 | + | 0.164032i | \(0.0524500\pi\) |
−0.900284 | + | 0.435304i | \(0.856641\pi\) | |||||||
\(492\) | −1.97425 | + | 6.72368i | −0.0890061 | + | 0.303127i | ||||
\(493\) | 36.1187 | + | 31.2971i | 1.62671 | + | 1.40955i | ||||
\(494\) | 20.8279 | + | 13.3853i | 0.937092 | + | 0.602232i | ||||
\(495\) | −14.3330 | + | 14.4865i | −0.644219 | + | 0.651118i | ||||
\(496\) | −3.13797 | + | 3.62141i | −0.140899 | + | 0.162606i | ||||
\(497\) | 5.28486 | − | 17.9986i | 0.237058 | − | 0.807346i | ||||
\(498\) | −4.40835 | + | 0.633826i | −0.197543 | + | 0.0284024i | ||||
\(499\) | 2.03359 | + | 2.34689i | 0.0910360 | + | 0.105061i | 0.799440 | − | 0.600746i | \(-0.205130\pi\) |
−0.708404 | + | 0.705807i | \(0.750584\pi\) | |||||||
\(500\) | −10.9614 | − | 2.20170i | −0.490209 | − | 0.0984630i | ||||
\(501\) | −2.71166 | + | 0.796214i | −0.121148 | + | 0.0355722i | ||||
\(502\) | 11.1514 | + | 5.09269i | 0.497713 | + | 0.227298i | ||||
\(503\) | 29.2657 | + | 4.20777i | 1.30489 | + | 0.187615i | 0.759468 | − | 0.650544i | \(-0.225459\pi\) |
0.545425 | + | 0.838160i | \(0.316368\pi\) | |||||||
\(504\) | −4.60282 | + | 2.95805i | −0.205026 | + | 0.131762i | ||||
\(505\) | −5.93756 | + | 28.0120i | −0.264218 | + | 1.24652i | ||||
\(506\) | 13.5379 | + | 10.5422i | 0.601833 | + | 0.468656i | ||||
\(507\) | 4.87268i | 0.216403i | ||||||||
\(508\) | 1.14551 | + | 1.78245i | 0.0508240 | + | 0.0790836i | ||||
\(509\) | 2.13588 | − | 14.8554i | 0.0946713 | − | 0.658453i | −0.886129 | − | 0.463439i | \(-0.846615\pi\) |
0.980800 | − | 0.195015i | \(-0.0624755\pi\) | |||||||
\(510\) | −5.04548 | + | 6.81533i | −0.223418 | + | 0.301788i | ||||
\(511\) | 13.0998 | − | 3.84644i | 0.579500 | − | 0.170157i | ||||
\(512\) | 0.909632 | − | 0.415415i | 0.0402004 | − | 0.0183589i | ||||
\(513\) | −15.5226 | + | 13.4504i | −0.685338 | + | 0.593849i | ||||
\(514\) | −3.48738 | − | 24.2552i | −0.153822 | − | 1.06985i | ||||
\(515\) | −28.0473 | − | 15.1216i | −1.23591 | − | 0.666339i | ||||
\(516\) | −1.49225 | + | 1.72214i | −0.0656924 | + | 0.0758131i | ||||
\(517\) | −20.7071 | + | 32.2209i | −0.910698 | + | 1.41707i | ||||
\(518\) | 9.67909 | − | 15.0610i | 0.425275 | − | 0.661741i | ||||
\(519\) | −5.65340 | + | 6.52437i | −0.248157 | + | 0.286388i | ||||
\(520\) | −4.77430 | + | 8.85527i | −0.209367 | + | 0.388329i | ||||
\(521\) | 3.40203 | + | 23.6616i | 0.149045 | + | 1.03663i | 0.917787 | + | 0.397074i | \(0.129974\pi\) |
−0.768741 | + | 0.639560i | \(0.779117\pi\) | |||||||
\(522\) | −16.3240 | + | 14.1448i | −0.714482 | + | 0.619102i | ||||
\(523\) | 29.5151 | − | 13.4791i | 1.29060 | − | 0.589399i | 0.352518 | − | 0.935805i | \(-0.385325\pi\) |
0.938085 | + | 0.346406i | \(0.112598\pi\) | |||||||
\(524\) | 6.29860 | − | 1.84944i | 0.275156 | − | 0.0807930i | ||||
\(525\) | −5.41039 | + | 4.78997i | −0.236129 | + | 0.209052i | ||||
\(526\) | 2.42535 | − | 16.8687i | 0.105750 | − | 0.735510i | ||||
\(527\) | −14.6013 | − | 22.7201i | −0.636043 | − | 0.989702i | ||||
\(528\) | − | 2.40728i | − | 0.104763i | ||||||
\(529\) | −5.63553 | − | 22.2989i | −0.245023 | − | 0.969517i | ||||
\(530\) | 2.45671 | − | 11.5902i | 0.106713 | − | 0.503444i | ||||
\(531\) | −4.12010 | + | 2.64783i | −0.178797 | + | 0.114906i | ||||
\(532\) | 11.6995 | + | 1.68214i | 0.507239 | + | 0.0729300i | ||||
\(533\) | −42.6230 | − | 19.4653i | −1.84621 | − | 0.843135i | ||||
\(534\) | 2.82221 | − | 0.828676i | 0.122129 | − | 0.0358603i | ||||
\(535\) | 1.91561 | + | 8.58551i | 0.0828190 | + | 0.371184i | ||||
\(536\) | −0.562934 | − | 0.649660i | −0.0243150 | − | 0.0280611i | ||||
\(537\) | 12.5677 | − | 1.80697i | 0.542337 | − | 0.0779763i | ||||
\(538\) | −8.11558 | + | 27.6391i | −0.349887 | + | 1.19161i | ||||
\(539\) | −5.59124 | + | 6.45263i | −0.240832 | + | 0.277935i | ||||
\(540\) | −5.93286 | − | 5.87000i | −0.255310 | − | 0.252604i | ||||
\(541\) | −4.61180 | − | 2.96382i | −0.198277 | − | 0.127425i | 0.437735 | − | 0.899104i | \(-0.355781\pi\) |
−0.636012 | + | 0.771679i | \(0.719417\pi\) | |||||||
\(542\) | 24.2952 | + | 21.0519i | 1.04357 | + | 0.904257i | ||||
\(543\) | −0.597556 | + | 2.03509i | −0.0256436 | + | 0.0873341i | ||||
\(544\) | 0.802110 | + | 5.57880i | 0.0343902 | + | 0.239189i | ||||
\(545\) | −19.2095 | + | 10.6224i | −0.822846 | + | 0.455014i | ||||
\(546\) | 2.70110 | + | 5.91458i | 0.115596 | + | 0.253121i | ||||
\(547\) | −2.66577 | − | 9.07877i | −0.113980 | − | 0.388180i | 0.882667 | − | 0.469998i | \(-0.155746\pi\) |
−0.996647 | + | 0.0818182i | \(0.973927\pi\) | |||||||
\(548\) | −5.75036 | − | 2.62610i | −0.245643 | − | 0.112181i | ||||
\(549\) | 2.47952 | − | 17.2455i | 0.105824 | − | 0.736019i | ||||
\(550\) | 2.73432 | + | 17.6787i | 0.116592 | + | 0.753823i | ||||
\(551\) | 46.6620 | 1.98787 | ||||||||
\(552\) | −1.98257 | + | 2.54595i | −0.0843838 | + | 0.108363i | ||||
\(553\) | 31.5414i | 1.34128i | ||||||||
\(554\) | 4.74895 | − | 3.05196i | 0.201763 | − | 0.129666i | ||||
\(555\) | 11.7727 | + | 4.31971i | 0.499723 | + | 0.183361i | ||||
\(556\) | 4.78536 | − | 10.4785i | 0.202945 | − | 0.444386i | ||||
\(557\) | 2.65307 | + | 9.03551i | 0.112414 | + | 0.382847i | 0.996411 | − | 0.0846454i | \(-0.0269758\pi\) |
−0.883997 | + | 0.467492i | \(0.845158\pi\) | |||||||
\(558\) | 11.1031 | − | 5.07059i | 0.470030 | − | 0.214655i | ||||
\(559\) | −9.97823 | − | 11.5155i | −0.422034 | − | 0.487053i | ||||
\(560\) | −0.317116 | + | 4.79243i | −0.0134006 | + | 0.202517i | ||||
\(561\) | 13.0182 | + | 3.82250i | 0.549630 | + | 0.161386i | ||||
\(562\) | −8.31096 | − | 7.20149i | −0.350577 | − | 0.303777i | ||||
\(563\) | 20.3569 | − | 31.6759i | 0.857939 | − | 1.33498i | −0.0830510 | − | 0.996545i | \(-0.526466\pi\) |
0.940990 | − | 0.338434i | \(-0.109897\pi\) | |||||||
\(564\) | −6.05950 | − | 3.89420i | −0.255151 | − | 0.163976i | ||||
\(565\) | −8.54919 | + | 6.47118i | −0.359667 | + | 0.272245i | ||||
\(566\) | 4.98710 | + | 1.46435i | 0.209624 | + | 0.0615511i | ||||
\(567\) | 10.9078 | − | 1.56830i | 0.458084 | − | 0.0658626i | ||||
\(568\) | 6.60016 | − | 5.71907i | 0.276937 | − | 0.239967i | ||||
\(569\) | 13.1920 | + | 28.8864i | 0.553037 | + | 1.21098i | 0.955349 | + | 0.295479i | \(0.0954792\pi\) |
−0.402313 | + | 0.915502i | \(0.631794\pi\) | |||||||
\(570\) | 0.634608 | + | 8.25488i | 0.0265808 | + | 0.345759i | ||||
\(571\) | −9.00512 | + | 19.7185i | −0.376853 | + | 0.825192i | 0.622249 | + | 0.782819i | \(0.286219\pi\) |
−0.999102 | + | 0.0423730i | \(0.986508\pi\) | |||||||
\(572\) | 15.9330 | + | 2.29082i | 0.666191 | + | 0.0957838i | ||||
\(573\) | 0.0513944 | + | 0.0799712i | 0.00214703 | + | 0.00334085i | ||||
\(574\) | −22.3703 | −0.933719 | ||||||||
\(575\) | 11.6679 | − | 20.9490i | 0.486583 | − | 0.873634i | ||||
\(576\) | −2.54728 | −0.106137 | ||||||||
\(577\) | −12.5493 | − | 19.5270i | −0.522433 | − | 0.812921i | 0.475328 | − | 0.879809i | \(-0.342330\pi\) |
−0.997761 | + | 0.0668874i | \(0.978693\pi\) | |||||||
\(578\) | −14.6160 | − | 2.10147i | −0.607947 | − | 0.0874096i | ||||
\(579\) | −4.12644 | + | 9.03564i | −0.171489 | + | 0.375508i | ||||
\(580\) | 1.45335 | + | 18.9050i | 0.0603473 | + | 0.784987i | ||||
\(581\) | −5.90620 | − | 12.9328i | −0.245031 | − | 0.536542i | ||||
\(582\) | −2.73821 | + | 2.37267i | −0.113503 | + | 0.0983505i | ||||
\(583\) | −18.7637 | + | 2.69781i | −0.777113 | + | 0.111732i | ||||
\(584\) | 6.09880 | + | 1.79077i | 0.252370 | + | 0.0741026i | ||||
\(585\) | 20.4330 | − | 15.4664i | 0.844799 | − | 0.639457i | ||||
\(586\) | 8.73347 | + | 5.61266i | 0.360776 | + | 0.231857i | ||||
\(587\) | −9.48409 | + | 14.7575i | −0.391450 | + | 0.609109i | −0.979915 | − | 0.199414i | \(-0.936096\pi\) |
0.588465 | + | 0.808523i | \(0.299732\pi\) | |||||||
\(588\) | −1.21349 | − | 1.05149i | −0.0500434 | − | 0.0433629i | ||||
\(589\) | −25.3008 | − | 7.42897i | −1.04250 | − | 0.306105i | ||||
\(590\) | −0.283858 | + | 4.28982i | −0.0116863 | + | 0.176609i | ||||
\(591\) | −0.896398 | − | 1.03450i | −0.0368729 | − | 0.0425536i | ||||
\(592\) | 7.58180 | − | 3.46249i | 0.311610 | − | 0.142307i | ||||
\(593\) | −8.88549 | − | 30.2612i | −0.364883 | − | 1.24268i | −0.913581 | − | 0.406657i | \(-0.866694\pi\) |
0.548698 | − | 0.836021i | \(-0.315124\pi\) | |||||||
\(594\) | −5.54740 | + | 12.1471i | −0.227613 | + | 0.498402i | ||||
\(595\) | −25.4132 | − | 9.32477i | −1.04184 | − | 0.382278i | ||||
\(596\) | −11.1553 | + | 7.16911i | −0.456941 | + | 0.293658i | ||||
\(597\) | − | 8.24422i | − | 0.337414i | ||||||
\(598\) | −14.9642 | − | 15.5447i | −0.611930 | − | 0.635672i | ||||
\(599\) | 27.0065 | 1.10345 | 0.551727 | − | 0.834025i | \(-0.313969\pi\) | ||||
0.551727 | + | 0.834025i | \(0.313969\pi\) | |||||||
\(600\) | −3.32468 | + | 0.514220i | −0.135729 | + | 0.0209929i | ||||
\(601\) | 1.94657 | − | 13.5387i | 0.0794022 | − | 0.552254i | −0.910825 | − | 0.412792i | \(-0.864554\pi\) |
0.990227 | − | 0.139462i | \(-0.0445373\pi\) | |||||||
\(602\) | −6.61704 | − | 3.02190i | −0.269690 | − | 0.123163i | ||||
\(603\) | 0.616912 | + | 2.10101i | 0.0251226 | + | 0.0855597i | ||||
\(604\) | 7.18977 | + | 15.7434i | 0.292547 | + | 0.640590i | ||||
\(605\) | 3.52330 | − | 1.94830i | 0.143243 | − | 0.0792096i | ||||
\(606\) | 1.22621 | + | 8.52848i | 0.0498114 | + | 0.346446i | ||||
\(607\) | −0.196632 | + | 0.669666i | −0.00798103 | + | 0.0271809i | −0.963387 | − | 0.268114i | \(-0.913600\pi\) |
0.955406 | + | 0.295295i | \(0.0954178\pi\) | |||||||
\(608\) | 4.15882 | + | 3.60364i | 0.168663 | + | 0.146147i | ||||
\(609\) | 10.3093 | + | 6.62540i | 0.417755 | + | 0.268475i | ||||
\(610\) | −10.8721 | − | 10.7569i | −0.440197 | − | 0.435532i | ||||
\(611\) | 31.5407 | − | 36.4000i | 1.27600 | − | 1.47258i | ||||
\(612\) | 4.04481 | − | 13.7754i | 0.163502 | − | 0.556836i | ||||
\(613\) | −38.6183 | + | 5.55248i | −1.55978 | + | 0.224262i | −0.867526 | − | 0.497392i | \(-0.834291\pi\) |
−0.692254 | + | 0.721654i | \(0.743382\pi\) | |||||||
\(614\) | −0.622585 | − | 0.718502i | −0.0251255 | − | 0.0289964i | ||||
\(615\) | −3.41226 | − | 15.2933i | −0.137595 | − | 0.616684i | ||||
\(616\) | 7.37353 | − | 2.16506i | 0.297088 | − | 0.0872329i | ||||
\(617\) | 17.4707 | + | 7.97858i | 0.703342 | + | 0.321206i | 0.734785 | − | 0.678300i | \(-0.237283\pi\) |
−0.0314429 | + | 0.999506i | \(0.510010\pi\) | |||||||
\(618\) | −9.49041 | − | 1.36452i | −0.381760 | − | 0.0548888i | ||||
\(619\) | −12.2502 | + | 7.87271i | −0.492376 | + | 0.316431i | −0.763160 | − | 0.646209i | \(-0.776353\pi\) |
0.270784 | + | 0.962640i | \(0.412717\pi\) | |||||||
\(620\) | 2.22180 | − | 10.4819i | 0.0892297 | − | 0.420964i | ||||
\(621\) | 15.8710 | − | 8.27816i | 0.636881 | − | 0.332191i | ||||
\(622\) | 4.14003i | 0.166000i | ||||||||
\(623\) | 5.07649 | + | 7.89917i | 0.203385 | + | 0.316474i | ||||
\(624\) | −0.430813 | + | 2.99637i | −0.0172463 | + | 0.119951i | ||||
\(625\) | 23.8318 | − | 7.55270i | 0.953274 | − | 0.302108i | ||||
\(626\) | 9.10353 | − | 2.67304i | 0.363850 | − | 0.106836i | ||||
\(627\) | 12.0499 | − | 5.50302i | 0.481228 | − | 0.219770i | ||||
\(628\) | −1.96943 | + | 1.70652i | −0.0785890 | + | 0.0680978i | ||||
\(629\) | 6.68560 | + | 46.4993i | 0.266572 | + | 1.85405i | ||||
\(630\) | 5.80604 | − | 10.7689i | 0.231318 | − | 0.429045i | ||||
\(631\) | 24.8801 | − | 28.7132i | 0.990463 | − | 1.14306i | 0.000748389 | − | 1.00000i | \(-0.499762\pi\) |
0.989715 | − | 0.143056i | \(-0.0456928\pi\) | |||||||
\(632\) | −7.93909 | + | 12.3535i | −0.315800 | + | 0.491394i | ||||
\(633\) | 0.427656 | − | 0.665445i | 0.0169978 | − | 0.0264491i | ||||
\(634\) | −9.31852 | + | 10.7541i | −0.370086 | + | 0.427102i | ||||
\(635\) | −4.17030 | − | 2.24841i | −0.165493 | − | 0.0892253i | ||||
\(636\) | −0.507353 | − | 3.52872i | −0.0201179 | − | 0.139923i | ||||
\(637\) | 8.11426 | − | 7.03105i | 0.321499 | − | 0.278580i | ||||
\(638\) | 27.5963 | − | 12.6028i | 1.09255 | − | 0.498950i | ||||
\(639\) | −21.3450 | + | 6.26746i | −0.844395 | + | 0.247937i | ||||
\(640\) | −1.33047 | + | 1.79718i | −0.0525916 | + | 0.0710396i | ||||
\(641\) | −4.44860 | + | 30.9407i | −0.175709 | + | 1.22208i | 0.690845 | + | 0.723002i | \(0.257238\pi\) |
−0.866555 | + | 0.499082i | \(0.833671\pi\) | |||||||
\(642\) | 1.43104 | + | 2.22675i | 0.0564787 | + | 0.0878826i | ||||
\(643\) | − | 16.3114i | − | 0.643260i | −0.946865 | − | 0.321630i | \(-0.895769\pi\) | ||
0.946865 | − | 0.321630i | \(-0.104231\pi\) | |||||||
\(644\) | −9.58137 | − | 3.78285i | −0.377559 | − | 0.149065i | ||||
\(645\) | 1.05657 | − | 4.98463i | 0.0416023 | − | 0.196270i | ||||
\(646\) | −26.0917 | + | 16.7681i | −1.02657 | + | 0.659734i | ||||
\(647\) | 24.3191 | + | 3.49656i | 0.956084 | + | 0.137464i | 0.602659 | − | 0.797999i | \(-0.294108\pi\) |
0.353425 | + | 0.935463i | \(0.385017\pi\) | |||||||
\(648\) | 4.66688 | + | 2.13129i | 0.183332 | + | 0.0837250i | ||||
\(649\) | 6.60023 | − | 1.93800i | 0.259082 | − | 0.0760732i | ||||
\(650\) | −0.239618 | − | 22.4942i | −0.00939860 | − | 0.882297i | ||||
\(651\) | −4.53503 | − | 5.23371i | −0.177742 | − | 0.205125i | ||||
\(652\) | −0.188888 | + | 0.0271580i | −0.00739744 | + | 0.00106359i | ||||
\(653\) | 7.71063 | − | 26.2600i | 0.301740 | − | 1.02763i | −0.659450 | − | 0.751748i | \(-0.729211\pi\) |
0.961191 | − | 0.275885i | \(-0.0889709\pi\) | |||||||
\(654\) | −4.32543 | + | 4.99181i | −0.169138 | + | 0.195195i | ||||
\(655\) | −10.3240 | + | 10.4345i | −0.403391 | + | 0.407711i | ||||
\(656\) | −8.76152 | − | 5.63069i | −0.342080 | − | 0.219841i | ||||
\(657\) | −12.2365 | − | 10.6030i | −0.477392 | − | 0.413663i | ||||
\(658\) | 6.47819 | − | 22.0627i | 0.252546 | − | 0.860093i | ||||
\(659\) | −2.08830 | − | 14.5244i | −0.0813486 | − | 0.565792i | −0.989208 | − | 0.146517i | \(-0.953194\pi\) |
0.907859 | − | 0.419275i | \(-0.137716\pi\) | |||||||
\(660\) | 2.60485 | + | 4.71060i | 0.101394 | + | 0.183360i | ||||
\(661\) | 13.4754 | + | 29.5070i | 0.524133 | + | 1.14769i | 0.967851 | + | 0.251525i | \(0.0809319\pi\) |
−0.443718 | + | 0.896166i | \(0.646341\pi\) | |||||||
\(662\) | 2.50158 | + | 8.51959i | 0.0972266 | + | 0.331123i | ||||
\(663\) | −15.5199 | − | 7.08769i | −0.602742 | − | 0.275263i | ||||
\(664\) | 0.942013 | − | 6.55185i | 0.0365572 | − | 0.254261i | ||||
\(665\) | −24.7140 | + | 9.36809i | −0.958369 | + | 0.363279i | ||||
\(666\) | −21.2317 | −0.822710 | ||||||||
\(667\) | −39.5653 | − | 9.39875i | −1.53198 | − | 0.363921i | ||||
\(668\) | − | 4.20030i | − | 0.162514i | ||||||
\(669\) | 3.57375 | − | 2.29671i | 0.138169 | − | 0.0887960i | ||||
\(670\) | 1.80454 | + | 0.662131i | 0.0697153 | + | 0.0255803i | ||||
\(671\) | −10.1657 | + | 22.2598i | −0.392442 | + | 0.859328i | ||||
\(672\) | 0.407164 | + | 1.38667i | 0.0157067 | + | 0.0534921i | ||||
\(673\) | 15.7371 | − | 7.18690i | 0.606621 | − | 0.277035i | −0.0883303 | − | 0.996091i | \(-0.528153\pi\) |
0.694951 | + | 0.719057i | \(0.255426\pi\) | |||||||
\(674\) | −8.74179 | − | 10.0886i | −0.336721 | − | 0.388597i | ||||
\(675\) | 17.9613 | + | 5.06672i | 0.691329 | + | 0.195018i | ||||
\(676\) | −6.94860 | − | 2.04029i | −0.267254 | − | 0.0784728i | ||||
\(677\) | 1.93111 | + | 1.67332i | 0.0742186 | + | 0.0643108i | 0.691180 | − | 0.722683i | \(-0.257091\pi\) |
−0.616961 | + | 0.786993i | \(0.711637\pi\) | |||||||
\(678\) | −1.74429 | + | 2.71417i | −0.0669891 | + | 0.104237i | ||||
\(679\) | −9.73022 | − | 6.25323i | −0.373412 | − | 0.239977i | ||||
\(680\) | −7.60623 | − | 10.0487i | −0.291686 | − | 0.385351i | ||||
\(681\) | −9.14531 | − | 2.68530i | −0.350449 | − | 0.102901i | ||||
\(682\) | −16.9695 | + | 2.43985i | −0.649797 | + | 0.0934267i | ||||
\(683\) | 26.9619 | − | 23.3626i | 1.03167 | − | 0.893946i | 0.0372347 | − | 0.999307i | \(-0.488145\pi\) |
0.994434 | + | 0.105360i | \(0.0335996\pi\) | |||||||
\(684\) | −5.82307 | − | 12.7507i | −0.222651 | − | 0.487537i | ||||
\(685\) | 14.0940 | − | 1.08350i | 0.538504 | − | 0.0413985i | ||||
\(686\) | 8.37532 | − | 18.3394i | 0.319771 | − | 0.700201i | ||||
\(687\) | −13.1850 | − | 1.89572i | −0.503040 | − | 0.0723262i | ||||
\(688\) | −1.83100 | − | 2.84909i | −0.0698061 | − | 0.108620i | ||||
\(689\) | 23.8382 | 0.908164 | ||||||||
\(690\) | 1.12462 | − | 7.12724i | 0.0428136 | − | 0.271329i | ||||
\(691\) | −5.18589 | −0.197281 | −0.0986404 | − | 0.995123i | \(-0.531449\pi\) | ||||
−0.0986404 | + | 0.995123i | \(0.531449\pi\) | |||||||
\(692\) | −6.93676 | − | 10.7938i | −0.263696 | − | 0.410319i | ||||
\(693\) | −19.3762 | − | 2.78587i | −0.736039 | − | 0.105826i | ||||
\(694\) | −9.02366 | + | 19.7590i | −0.342533 | + | 0.750043i | ||||
\(695\) | 1.97439 | + | 25.6825i | 0.0748929 | + | 0.974194i | ||||
\(696\) | 2.37010 | + | 5.18979i | 0.0898383 | + | 0.196718i | ||||
\(697\) | 44.3623 | − | 38.4401i | 1.68034 | − | 1.45602i | ||||
\(698\) | −3.30750 | + | 0.475546i | −0.125191 | + | 0.0179997i | ||||
\(699\) | −2.07980 | − | 0.610684i | −0.0786652 | − | 0.0230982i | ||||
\(700\) | −4.56521 | − | 9.72104i | −0.172549 | − | 0.367421i | ||||
\(701\) | −16.0200 | − | 10.2954i | −0.605067 | − | 0.388853i | 0.201937 | − | 0.979398i | \(-0.435276\pi\) |
−0.807004 | + | 0.590545i | \(0.798913\pi\) | |||||||
\(702\) | 9.07879 | − | 14.1269i | 0.342657 | − | 0.533185i | ||||
\(703\) | 34.6638 | + | 30.0364i | 1.30737 | + | 1.13284i | ||||
\(704\) | 3.43286 | + | 1.00798i | 0.129381 | + | 0.0379896i | ||||
\(705\) | 16.0711 | + | 1.06343i | 0.605273 | + | 0.0400510i | ||||
\(706\) | 12.4518 | + | 14.3702i | 0.468630 | + | 0.540828i | ||||
\(707\) | −25.0200 | + | 11.4263i | −0.940974 | + | 0.429728i | ||||
\(708\) | 0.364463 | + | 1.24125i | 0.0136973 | + | 0.0466489i | ||||
\(709\) | 17.7445 | − | 38.8550i | 0.666409 | − | 1.45923i | −0.210018 | − | 0.977697i | \(-0.567352\pi\) |
0.876427 | − | 0.481535i | \(-0.159920\pi\) | |||||||
\(710\) | −6.72685 | + | 18.3330i | −0.252454 | + | 0.688026i | ||||
\(711\) | 31.4678 | − | 20.2231i | 1.18013 | − | 0.758426i | ||||
\(712\) | 4.37155i | 0.163831i | ||||||||
\(713\) | 19.9565 | + | 11.3952i | 0.747376 | + | 0.426755i | ||||
\(714\) | −8.14546 | −0.304836 | ||||||||
\(715\) | −33.6567 | + | 12.7579i | −1.25869 | + | 0.477119i | ||||
\(716\) | −2.68557 | + | 18.6786i | −0.100365 | + | 0.698051i | ||||
\(717\) | 15.5383 | + | 7.09612i | 0.580289 | + | 0.265009i | ||||
\(718\) | 0.606402 | + | 2.06521i | 0.0226307 | + | 0.0770731i | ||||
\(719\) | −13.0242 | − | 28.5190i | −0.485720 | − | 1.06358i | −0.980851 | − | 0.194760i | \(-0.937607\pi\) |
0.495131 | − | 0.868819i | \(-0.335120\pi\) | |||||||
\(720\) | 4.98456 | − | 2.75634i | 0.185764 | − | 0.102723i | ||||
\(721\) | −4.35597 | − | 30.2964i | −0.162225 | − | 1.12830i | ||||
\(722\) | −3.17851 | + | 10.8250i | −0.118292 | + | 0.402866i | ||||
\(723\) | 4.58640 | + | 3.97414i | 0.170570 | + | 0.147800i | ||||
\(724\) | −2.65189 | − | 1.70427i | −0.0985568 | − | 0.0633386i | ||||
\(725\) | −23.3005 | − | 35.4209i | −0.865358 | − | 1.31550i | ||||
\(726\) | 0.793345 | − | 0.915568i | 0.0294438 | − | 0.0339799i | ||||
\(727\) | 10.0017 | − | 34.0626i | 0.370942 | − | 1.26331i | −0.536775 | − | 0.843726i | \(-0.680357\pi\) |
0.907716 | − | 0.419585i | \(-0.137824\pi\) | |||||||
\(728\) | −9.56539 | + | 1.37529i | −0.354517 | + | 0.0509718i | ||||
\(729\) | −3.62455 | − | 4.18295i | −0.134242 | − | 0.154924i | ||||
\(730\) | −13.8720 | + | 3.09513i | −0.513424 | + | 0.114556i | ||||
\(731\) | 18.3149 | − | 5.37773i | 0.677400 | − | 0.198903i | ||||
\(732\) | −4.18619 | − | 1.91177i | −0.154726 | − | 0.0706611i | ||||
\(733\) | −32.1240 | − | 4.61874i | −1.18653 | − | 0.170597i | −0.479344 | − | 0.877627i | \(-0.659126\pi\) |
−0.707184 | + | 0.707030i | \(0.750035\pi\) | |||||||
\(734\) | 9.77041 | − | 6.27906i | 0.360632 | − | 0.231764i | ||||
\(735\) | 3.51236 | + | 0.744498i | 0.129555 | + | 0.0274612i | ||||
\(736\) | −2.80047 | − | 3.89325i | −0.103227 | − | 0.143507i | ||||
\(737\) | − | 3.07555i | − | 0.113289i | ||||||
\(738\) | 14.3430 | + | 22.3181i | 0.527972 | + | 0.821540i | ||||
\(739\) | 1.23645 | − | 8.59969i | 0.0454835 | − | 0.316345i | −0.954360 | − | 0.298658i | \(-0.903461\pi\) |
0.999844 | − | 0.0176862i | \(-0.00563000\pi\) | |||||||
\(740\) | −11.0895 | + | 14.9795i | −0.407659 | + | 0.550657i | ||||
\(741\) | −15.9835 | + | 4.69319i | −0.587170 | + | 0.172409i | ||||
\(742\) | 10.3522 | − | 4.72769i | 0.380041 | − | 0.173559i | ||||
\(743\) | −13.4558 | + | 11.6596i | −0.493647 | + | 0.427748i | −0.865775 | − | 0.500434i | \(-0.833174\pi\) |
0.372128 | + | 0.928182i | \(0.378628\pi\) | |||||||
\(744\) | −0.458841 | − | 3.19131i | −0.0168219 | − | 0.116999i | ||||
\(745\) | 14.0715 | − | 26.0995i | 0.515539 | − | 0.956211i | ||||
\(746\) | 1.54832 | − | 1.78686i | 0.0566881 | − | 0.0654216i | ||||
\(747\) | −9.11576 | + | 14.1844i | −0.333528 | + | 0.518980i | ||||
\(748\) | −10.9020 | + | 16.9638i | −0.398617 | + | 0.620260i | ||||
\(749\) | −5.53349 | + | 6.38599i | −0.202189 | + | 0.233339i | ||||
\(750\) | 5.94935 | − | 4.60377i | 0.217240 | − | 0.168106i | ||||
\(751\) | −1.15010 | − | 7.99912i | −0.0419678 | − | 0.291892i | −0.999987 | − | 0.00518675i | \(-0.998349\pi\) |
0.958019 | − | 0.286705i | \(-0.0925601\pi\) | |||||||
\(752\) | 8.09049 | − | 7.01045i | 0.295030 | − | 0.255645i | ||||
\(753\) | −7.50315 | + | 3.42657i | −0.273430 | + | 0.124871i | ||||
\(754\) | −36.6049 | + | 10.7482i | −1.33307 | + | 0.391425i | ||||
\(755\) | −31.1045 | − | 23.0271i | −1.13201 | − | 0.838041i | ||||
\(756\) | 1.14094 | − | 7.93541i | 0.0414956 | − | 0.288608i | ||||
\(757\) | 5.46238 | + | 8.49962i | 0.198533 | + | 0.308924i | 0.926218 | − | 0.376988i | \(-0.123040\pi\) |
−0.727685 | + | 0.685912i | \(0.759404\pi\) | |||||||
\(758\) | 14.5030i | 0.526773i | ||||||||
\(759\) | −11.3257 | + | 2.23896i | −0.411098 | + | 0.0812692i | ||||
\(760\) | −12.0374 | − | 2.55152i | −0.436644 | − | 0.0925532i | ||||
\(761\) | −4.92933 | + | 3.16789i | −0.178688 | + | 0.114836i | −0.626927 | − | 0.779078i | \(-0.715688\pi\) |
0.448239 | + | 0.893914i | \(0.352051\pi\) | |||||||
\(762\) | −1.41111 | − | 0.202887i | −0.0511192 | − | 0.00734982i | ||||
\(763\) | −19.1802 | − | 8.75929i | −0.694369 | − | 0.317108i | ||||
\(764\) | −0.135561 | + | 0.0398044i | −0.00490444 | + | 0.00144007i | ||||
\(765\) | 6.99096 | + | 31.3326i | 0.252759 | + | 1.13283i | ||||
\(766\) | −10.8483 | − | 12.5196i | −0.391966 | − | 0.452353i | ||||
\(767\) | −8.56222 | + | 1.23106i | −0.309164 | + | 0.0444510i | ||||
\(768\) | −0.189561 | + | 0.645587i | −0.00684021 | + | 0.0232956i | ||||
\(769\) | −16.8713 | + | 19.4705i | −0.608394 | + | 0.702124i | −0.973460 | − | 0.228857i | \(-0.926501\pi\) |
0.365066 | + | 0.930982i | \(0.381047\pi\) | |||||||
\(770\) | −12.0859 | + | 12.2153i | −0.435545 | + | 0.440209i | ||||
\(771\) | 13.8704 | + | 8.91395i | 0.499530 | + | 0.321028i | ||||
\(772\) | −11.1573 | − | 9.66784i | −0.401559 | − | 0.347953i | ||||
\(773\) | −9.97008 | + | 33.9550i | −0.358599 | + | 1.22128i | 0.560801 | + | 0.827951i | \(0.310493\pi\) |
−0.919400 | + | 0.393325i | \(0.871325\pi\) | |||||||
\(774\) | 1.22774 | + | 8.53911i | 0.0441302 | + | 0.306932i | ||||
\(775\) | 6.99453 | + | 22.9153i | 0.251251 | + | 0.823142i | ||||
\(776\) | −2.23696 | − | 4.89826i | −0.0803022 | − | 0.175837i | ||||
\(777\) | 3.39372 | + | 11.5579i | 0.121749 | + | 0.414639i | ||||
\(778\) | 14.1020 | + | 6.44016i | 0.505580 | + | 0.230891i | ||||
\(779\) | 8.15634 | − | 56.7286i | 0.292231 | − | 2.03251i | ||||
\(780\) | −2.39926 | − | 6.32952i | −0.0859075 | − | 0.226633i | ||||
\(781\) | 31.2457 | 1.11806 | ||||||||
\(782\) | 25.5010 | − | 8.96247i | 0.911913 | − | 0.320497i | ||||
\(783\) | − | 31.6493i | − | 1.13105i | ||||||
\(784\) | 2.00758 | − | 1.29019i | 0.0716991 | − | 0.0460782i | ||||
\(785\) | 2.00724 | − | 5.47042i | 0.0716414 | − | 0.195248i | ||||
\(786\) | −1.83484 | + | 4.01773i | −0.0654464 | + | 0.143308i | ||||
\(787\) | 0.938143 | + | 3.19502i | 0.0334412 | + | 0.113890i | 0.974522 | − | 0.224291i | \(-0.0720066\pi\) |
−0.941081 | + | 0.338181i | \(0.890188\pi\) | |||||||
\(788\) | 1.85057 | − | 0.845126i | 0.0659237 | − | 0.0301064i | ||||
\(789\) | 7.50907 | + | 8.66593i | 0.267330 | + | 0.308515i | ||||
\(790\) | 2.16800 | − | 32.7641i | 0.0771341 | − | 1.16569i | ||||
\(791\) | −9.88232 | − | 2.90171i | −0.351375 | − | 0.103173i | ||||
\(792\) | −6.88762 | − | 5.96816i | −0.244741 | − | 0.212069i | ||||
\(793\) | 16.6370 | − | 25.8877i | 0.590798 | − | 0.919300i | ||||
\(794\) | 19.1901 | + | 12.3327i | 0.681031 | + | 0.437672i | ||||
\(795\) | 4.81112 | + | 6.35606i | 0.170633 | + | 0.225426i | ||||
\(796\) | 11.7565 | + | 3.45202i | 0.416699 | + | 0.122354i | ||||
\(797\) | −23.7722 | + | 3.41793i | −0.842056 | + | 0.121069i | −0.549827 | − | 0.835279i | \(-0.685306\pi\) |
−0.292230 | + | 0.956348i | \(0.594397\pi\) | |||||||
\(798\) | −6.01039 | + | 5.20803i | −0.212766 | + | 0.184362i | ||||
\(799\) | 25.0647 | + | 54.8841i | 0.886726 | + | 1.94166i | ||||
\(800\) | 0.658817 | − | 4.95641i | 0.0232927 | − | 0.175235i | ||||
\(801\) | 4.62588 | − | 10.1293i | 0.163448 | − | 0.357900i | ||||
\(802\) | 23.9970 | + | 3.45025i | 0.847363 | + | 0.121832i | ||||
\(803\) | 12.2949 | + | 19.1313i | 0.433878 | + | 0.675127i | ||||
\(804\) | 0.578391 | 0.0203983 | ||||||||
\(805\) | 22.8423 | − | 2.96538i | 0.805084 | − | 0.104516i | ||||
\(806\) | 21.5588 | 0.759378 | ||||||||
\(807\) | −10.4786 | − | 16.3051i | −0.368865 | − | 0.573965i | ||||
\(808\) | −12.6753 | − | 1.82244i | −0.445916 | − | 0.0641131i | ||||
\(809\) | −2.42142 | + | 5.30216i | −0.0851325 | + | 0.186414i | −0.947410 | − | 0.320021i | \(-0.896310\pi\) |
0.862278 | + | 0.506436i | \(0.169037\pi\) | |||||||
\(810\) | −11.4384 | + | 0.879348i | −0.401905 | + | 0.0308972i | ||||
\(811\) | −11.1709 | − | 24.4608i | −0.392262 | − | 0.858935i | −0.997997 | − | 0.0632676i | \(-0.979848\pi\) |
0.605734 | − | 0.795667i | \(-0.292879\pi\) | |||||||
\(812\) | −13.7648 | + | 11.9272i | −0.483048 | + | 0.418564i | ||||
\(813\) | −21.4098 | + | 3.07826i | −0.750874 | + | 0.107959i | ||||
\(814\) | 28.6129 | + | 8.40151i | 1.00288 | + | 0.294473i | ||||
\(815\) | 0.340233 | − | 0.257534i | 0.0119178 | − | 0.00902102i | ||||
\(816\) | −3.19024 | − | 2.05024i | −0.111681 | − | 0.0717728i | ||||
\(817\) | 10.0758 | − | 15.6783i | 0.352508 | − | 0.548513i | ||||
\(818\) | −6.50120 | − | 5.63332i | −0.227309 | − | 0.196965i | ||||
\(819\) | 23.6192 | + | 6.93522i | 0.825321 | + | 0.242336i | ||||
\(820\) | 23.2375 | + | 1.53763i | 0.811488 | + | 0.0536963i | ||||
\(821\) | 20.3274 | + | 23.4591i | 0.709432 | + | 0.818728i | 0.989994 | − | 0.141108i | \(-0.0450665\pi\) |
−0.280563 | + | 0.959836i | \(0.590521\pi\) | |||||||
\(822\) | 3.86908 | − | 1.76695i | 0.134950 | − | 0.0616294i | ||||
\(823\) | −12.2434 | − | 41.6971i | −0.426777 | − | 1.45347i | −0.839874 | − | 0.542782i | \(-0.817371\pi\) |
0.413096 | − | 0.910687i | \(-0.364447\pi\) | |||||||
\(824\) | 5.91967 | − | 12.9623i | 0.206222 | − | 0.451562i | ||||
\(825\) | −10.1944 | − | 6.39915i | −0.354924 | − | 0.222790i | ||||
\(826\) | −3.47416 | + | 2.23271i | −0.120881 | + | 0.0776858i | ||||
\(827\) | 18.6806i | 0.649590i | 0.945785 | + | 0.324795i | \(0.105295\pi\) | ||||
−0.945785 | + | 0.324795i | \(0.894705\pi\) | |||||||
\(828\) | 2.36918 | + | 11.9844i | 0.0823345 | + | 0.416487i | ||||
\(829\) | 9.03092 | 0.313657 | 0.156828 | − | 0.987626i | \(-0.449873\pi\) | ||||
0.156828 | + | 0.987626i | \(0.449873\pi\) | |||||||
\(830\) | 5.24621 | + | 13.8401i | 0.182099 | + | 0.480396i | ||||
\(831\) | −0.540547 | + | 3.75959i | −0.0187514 | + | 0.130419i | ||||
\(832\) | −4.09253 | − | 1.86900i | −0.141883 | − | 0.0647958i | ||||
\(833\) | 3.78936 | + | 12.9054i | 0.131293 | + | 0.447145i | ||||
\(834\) | 3.21979 | + | 7.05036i | 0.111492 | + | 0.244134i | ||||
\(835\) | 4.54502 | + | 8.21920i | 0.157287 | + | 0.284437i | ||||
\(836\) | 2.80193 | + | 19.4878i | 0.0969066 | + | 0.674000i | ||||
\(837\) | −5.03883 | + | 17.1607i | −0.174167 | + | 0.593160i | ||||
\(838\) | 9.02015 | + | 7.81601i | 0.311596 | + | 0.269999i | ||||
\(839\) | −18.0277 | − | 11.5857i | −0.622385 | − | 0.399983i | 0.191098 | − | 0.981571i | \(-0.438795\pi\) |
−0.813483 | + | 0.581588i | \(0.802432\pi\) | |||||||
\(840\) | −2.29722 | − | 2.27288i | −0.0792617 | − | 0.0784219i | ||||
\(841\) | −28.0950 | + | 32.4233i | −0.968793 | + | 1.11805i | ||||
\(842\) | −1.73720 | + | 5.91636i | −0.0598678 | + | 0.203891i | ||||
\(843\) | 7.32391 | − | 1.05302i | 0.252249 | − | 0.0362679i | ||||
\(844\) | 0.769877 | + | 0.888486i | 0.0265003 | + | 0.0305829i | ||||
\(845\) | 15.8049 | − | 3.52640i | 0.543704 | − | 0.121312i | ||||
\(846\) | −26.1647 | + | 7.68266i | −0.899562 | + | 0.264135i | ||||
\(847\) | 3.51791 | + | 1.60658i | 0.120877 | + | 0.0552027i | ||||
\(848\) | 5.24450 | + | 0.754046i | 0.180097 | + | 0.0258940i | ||||
\(849\) | −2.94203 | + | 1.89072i | −0.100970 | + | 0.0648895i | ||||
\(850\) | 25.7574 | + | 11.4330i | 0.883472 | + | 0.392149i | ||||
\(851\) | −23.3419 | − | 32.4503i | −0.800151 | − | 1.11238i | ||||
\(852\) | 5.87611i | 0.201312i | ||||||||
\(853\) | 30.2776 | + | 47.1128i | 1.03668 | + | 1.61311i | 0.757455 | + | 0.652888i | \(0.226443\pi\) |
0.279230 | + | 0.960224i | \(0.409921\pi\) | |||||||
\(854\) | 2.09079 | − | 14.5418i | 0.0715454 | − | 0.497609i | ||||
\(855\) | 25.1919 | + | 18.6499i | 0.861544 | + | 0.637812i | ||||
\(856\) | −3.77462 | + | 1.10833i | −0.129014 | + | 0.0378818i | ||||
\(857\) | −28.9414 | + | 13.2171i | −0.988618 | + | 0.451487i | −0.843035 | − | 0.537859i | \(-0.819233\pi\) |
−0.145583 | + | 0.989346i | \(0.546506\pi\) | |||||||
\(858\) | −8.18523 | + | 7.09254i | −0.279439 | + | 0.242135i | ||||
\(859\) | 0.267029 | + | 1.85723i | 0.00911090 | + | 0.0633677i | 0.993870 | − | 0.110558i | \(-0.0352638\pi\) |
−0.984759 | + | 0.173926i | \(0.944355\pi\) | |||||||
\(860\) | 6.66583 | + | 3.59386i | 0.227303 | + | 0.122550i | ||||
\(861\) | 9.85675 | − | 11.3753i | 0.335917 | − | 0.387669i | ||||
\(862\) | −19.7905 | + | 30.7946i | −0.674067 | + | 1.04887i | ||||
\(863\) | −19.3769 | + | 30.1510i | −0.659597 | + | 1.02635i | 0.336803 | + | 0.941575i | \(0.390654\pi\) |
−0.996400 | + | 0.0847780i | \(0.972982\pi\) | |||||||
\(864\) | 2.44423 | − | 2.82079i | 0.0831544 | − | 0.0959653i | ||||
\(865\) | 25.2536 | + | 13.6154i | 0.858648 | + | 0.462938i | ||||
\(866\) | 0.660246 | + | 4.59211i | 0.0224361 | + | 0.156046i | ||||
\(867\) | 7.50868 | − | 6.50631i | 0.255008 | − | 0.220966i | ||||
\(868\) | 9.36234 | − | 4.27564i | 0.317779 | − | 0.145125i | ||||
\(869\) | −50.4101 | + | 14.8017i | −1.71004 | + | 0.502115i | ||||
\(870\) | −10.2536 | − | 7.59084i | −0.347628 | − | 0.257354i | ||||
\(871\) | −0.550408 | + | 3.82817i | −0.0186499 | + | 0.129713i | ||||
\(872\) | −5.30733 | − | 8.25837i | −0.179729 | − | 0.279664i | ||||
\(873\) | 13.7168i | 0.464244i | ||||||||
\(874\) | 13.0863 | − | 22.9180i | 0.442651 | − | 0.775213i | ||||
\(875\) | 19.4521 | + | 14.0824i | 0.657602 | + | 0.476072i | ||||
\(876\) | −3.59784 | + | 2.31219i | −0.121560 | + | 0.0781218i | ||||
\(877\) | 5.37700 | + | 0.773096i | 0.181568 | + | 0.0261056i | 0.232499 | − | 0.972597i | \(-0.425310\pi\) |
−0.0509308 | + | 0.998702i | \(0.516219\pi\) | |||||||
\(878\) | −12.1093 | − | 5.53015i | −0.408671 | − | 0.186634i | ||||
\(879\) | −6.70216 | + | 1.96793i | −0.226058 | + | 0.0663767i | ||||
\(880\) | −7.80817 | + | 1.74217i | −0.263213 | + | 0.0587285i | ||||
\(881\) | 15.7210 | + | 18.1430i | 0.529655 | + | 0.611254i | 0.956022 | − | 0.293296i | \(-0.0947522\pi\) |
−0.426367 | + | 0.904550i | \(0.640207\pi\) | |||||||
\(882\) | −6.01699 | + | 0.865113i | −0.202603 | + | 0.0291299i | ||||
\(883\) | −14.1070 | + | 48.0442i | −0.474740 | + | 1.61681i | 0.279452 | + | 0.960160i | \(0.409847\pi\) |
−0.754191 | + | 0.656655i | \(0.771971\pi\) | |||||||
\(884\) | 16.6058 | − | 19.1641i | 0.558512 | − | 0.644557i | ||||
\(885\) | −2.05630 | − | 2.03451i | −0.0691218 | − | 0.0683894i | ||||
\(886\) | 33.4847 | + | 21.5193i | 1.12494 | + | 0.722956i | ||||
\(887\) | 0.904125 | + | 0.783429i | 0.0303576 | + | 0.0263050i | 0.669907 | − | 0.742445i | \(-0.266334\pi\) |
−0.639550 | + | 0.768750i | \(0.720879\pi\) | |||||||
\(888\) | −1.58000 | + | 5.38098i | −0.0530212 | + | 0.180574i | ||||
\(889\) | −0.647681 | − | 4.50472i | −0.0217225 | − | 0.151083i | ||||
\(890\) | −4.73032 | − | 8.55431i | −0.158561 | − | 0.286741i | ||||
\(891\) | 7.62529 | + | 16.6971i | 0.255457 | + | 0.559373i | ||||
\(892\) | 1.77878 | + | 6.05796i | 0.0595579 | + | 0.202836i | ||||
\(893\) | 53.5865 | + | 24.4721i | 1.79320 | + | 0.818928i | ||||
\(894\) | 1.26975 | − | 8.83133i | 0.0424669 | − | 0.295364i | ||||
\(895\) | −14.9564 | − | 39.4565i | −0.499936 | − | 1.31888i | ||||
\(896\) | −2.14793 | −0.0717572 | ||||||||
\(897\) | 14.4980 | − | 0.759981i | 0.484073 | − | 0.0253750i | ||||
\(898\) | − | 18.1947i | − | 0.607164i | ||||||
\(899\) | 34.1820 | − | 21.9674i | 1.14003 | − | 0.732655i | ||||
\(900\) | −6.77131 | + | 10.7873i | −0.225710 | + | 0.359577i | ||||
\(901\) | −12.4055 | + | 27.1642i | −0.413286 | + | 0.904971i | ||||
\(902\) | −10.4979 | − | 35.7527i | −0.349543 | − | 1.19043i | ||||
\(903\) | 4.45222 | − | 2.03326i | 0.148161 | − | 0.0676627i | ||||
\(904\) | −3.14012 | − | 3.62389i | −0.104439 | − | 0.120529i | ||||
\(905\) | 7.03340 | + | 0.465401i | 0.233798 | + | 0.0154705i | ||||
\(906\) | −11.1734 | − | 3.28082i | −0.371213 | − | 0.108998i | ||||
\(907\) | −1.47406 | − | 1.27728i | −0.0489455 | − | 0.0424115i | 0.630045 | − | 0.776559i | \(-0.283037\pi\) |
−0.678990 | + | 0.734147i | \(0.737582\pi\) | |||||||
\(908\) | 7.65865 | − | 11.9171i | 0.254161 | − | 0.395483i | ||||
\(909\) | 27.4414 | + | 17.6355i | 0.910174 | + | 0.584933i | ||||
\(910\) | 17.2295 | − | 13.0416i | 0.571153 | − | 0.432325i | ||||
\(911\) | −37.6676 | − | 11.0602i | −1.24798 | − | 0.366441i | −0.409974 | − | 0.912097i | \(-0.634462\pi\) |
−0.838009 | + | 0.545656i | \(0.816280\pi\) | |||||||
\(912\) | −3.66490 | + | 0.526933i | −0.121357 | + | 0.0174485i | ||||
\(913\) | 17.8978 | − | 15.5085i | 0.592329 | − | 0.513256i | ||||
\(914\) | 14.9872 | + | 32.8174i | 0.495733 | + | 1.08550i | ||||
\(915\) | 10.2603 | − | 0.788777i | 0.339194 | − | 0.0260762i | ||||
\(916\) | 8.22419 | − | 18.0085i | 0.271735 | − | 0.595016i | ||||
\(917\) | −13.9566 | − | 2.00665i | −0.460887 | − | 0.0662655i | ||||
\(918\) | 11.3733 | + | 17.6972i | 0.375374 | + | 0.584093i | ||||
\(919\) | −16.8622 | −0.556233 | −0.278116 | − | 0.960547i | \(-0.589710\pi\) | ||||
−0.278116 | + | 0.960547i | \(0.589710\pi\) | |||||||
\(920\) | 9.69276 | + | 4.58807i | 0.319561 | + | 0.151264i | ||||
\(921\) | 0.639680 | 0.0210782 | ||||||||
\(922\) | 3.96605 | + | 6.17129i | 0.130615 | + | 0.203241i | ||||
\(923\) | −38.8920 | − | 5.59182i | −1.28014 | − | 0.184057i | ||||
\(924\) | −2.14797 | + | 4.70340i | −0.0706631 | + | 0.154731i | ||||
\(925\) | 5.49125 | − | 41.3117i | 0.180551 | − | 1.35832i | ||||
\(926\) | −13.1166 | − | 28.7214i | −0.431039 | − | 0.943843i | ||||
\(927\) | −27.4328 | + | 23.7707i | −0.901013 | + | 0.780732i | ||||
\(928\) | −8.39321 | + | 1.20676i | −0.275521 | + | 0.0396139i | ||||
\(929\) | −34.6187 | − | 10.1650i | −1.13580 | − | 0.333502i | −0.340817 | − | 0.940130i | \(-0.610704\pi\) |
−0.794986 | + | 0.606628i | \(0.792522\pi\) | |||||||
\(930\) | 4.35109 | + | 5.74830i | 0.142678 | + | 0.188494i | ||||
\(931\) | 11.0475 | + | 7.09980i | 0.362068 | + | 0.232687i | ||||
\(932\) | 1.74171 | − | 2.71015i | 0.0570515 | − | 0.0887739i | ||||
\(933\) | −2.10520 | − | 1.82417i | −0.0689213 | − | 0.0597206i | ||||
\(934\) | −6.13806 | − | 1.80230i | −0.200843 | − | 0.0589730i | ||||
\(935\) | 2.97712 | − | 44.9918i | 0.0973621 | − | 1.47139i | ||||
\(936\) | 7.50503 | + | 8.66127i | 0.245310 | + | 0.283102i | ||||
\(937\) | 8.47312 | − | 3.86954i | 0.276805 | − | 0.126412i | −0.272176 | − | 0.962247i | \(-0.587743\pi\) |
0.548981 | + | 0.835835i | \(0.315016\pi\) | |||||||
\(938\) | 0.520194 | + | 1.77162i | 0.0169849 | + | 0.0578453i | ||||
\(939\) | −2.65194 | + | 5.80693i | −0.0865427 | + | 0.189502i | ||||
\(940\) | −8.24579 | + | 22.4726i | −0.268948 | + | 0.732976i | ||||
\(941\) | −48.2646 | + | 31.0178i | −1.57338 | + | 1.01115i | −0.595153 | + | 0.803612i | \(0.702909\pi\) |
−0.978227 | + | 0.207538i | \(0.933455\pi\) | |||||||
\(942\) | − | 1.75338i | − | 0.0571283i | ||||||
\(943\) | −18.3422 | + | 46.4580i | −0.597305 | + | 1.51288i | ||||
\(944\) | −1.92266 | −0.0625774 | ||||||||
\(945\) | 6.35407 | + | 16.7627i | 0.206698 | + | 0.545291i | ||||
\(946\) | 1.72442 | − | 11.9936i | 0.0560657 | − | 0.389945i | ||||
\(947\) | 50.7170 | + | 23.1617i | 1.64808 | + | 0.752653i | 0.999961 | − | 0.00888487i | \(-0.00282818\pi\) |
0.648120 | + | 0.761538i | \(0.275555\pi\) | |||||||
\(948\) | −2.78363 | − | 9.48017i | −0.0904081 | − | 0.307902i | ||||
\(949\) | −11.8799 | − | 26.0132i | −0.385636 | − | 0.844426i | ||||
\(950\) | 26.3160 | − | 8.03251i | 0.853802 | − | 0.260609i | ||||
\(951\) | −1.36258 | − | 9.47693i | −0.0441846 | − | 0.307310i | ||||
\(952\) | 3.41067 | − | 11.6157i | 0.110541 | − | 0.376467i | ||||
\(953\) | −9.78866 | − | 8.48192i | −0.317086 | − | 0.274756i | 0.481746 | − | 0.876311i | \(-0.340003\pi\) |
−0.798832 | + | 0.601555i | \(0.794548\pi\) | |||||||
\(954\) | −11.3541 | − | 7.29682i | −0.367602 | − | 0.236243i | ||||
\(955\) | 0.222197 | − | 0.224577i | 0.00719013 | − | 0.00726713i | ||||
\(956\) | −16.6255 | + | 19.1868i | −0.537707 | + | 0.620547i | ||||
\(957\) | −5.75089 | + | 19.5857i | −0.185900 | + | 0.633117i | ||||
\(958\) | 18.8581 | − | 2.71138i | 0.609277 | − | 0.0876007i | ||||
\(959\) | 8.89196 | + | 10.2619i | 0.287136 | + | 0.331373i | ||||
\(960\) | −0.327634 | − | 1.46841i | −0.0105743 | − | 0.0473928i | ||||
\(961\) | 7.71298 | − | 2.26473i | 0.248806 | − | 0.0730559i | ||||
\(962\) | −34.1113 | − | 15.5781i | −1.09979 | − | 0.502258i | ||||
\(963\) | 9.91894 | + | 1.42613i | 0.319633 | + | 0.0459563i | ||||
\(964\) | −7.58766 | + | 4.87629i | −0.244382 | + | 0.157055i | ||||
\(965\) | 32.2940 | + | 6.84520i | 1.03958 | + | 0.220355i | ||||
\(966\) | 6.14530 | − | 3.20533i | 0.197722 | − | 0.103130i | ||||
\(967\) | − | 13.4094i | − | 0.431218i | −0.976480 | − | 0.215609i | \(-0.930826\pi\) | ||
0.976480 | − | 0.215609i | \(-0.0691737\pi\) | |||||||
\(968\) | 0.973439 | + | 1.51470i | 0.0312875 | + | 0.0486843i | ||||
\(969\) | 2.96988 | − | 20.6560i | 0.0954063 | − | 0.663566i | ||||
\(970\) | 9.67759 | + | 7.16444i | 0.310729 | + | 0.230036i | ||||
\(971\) | −50.8163 | + | 14.9210i | −1.63077 | + | 0.478838i | −0.963885 | − | 0.266319i | \(-0.914192\pi\) |
−0.666889 | + | 0.745157i | \(0.732374\pi\) | |||||||
\(972\) | −13.3255 | + | 6.08556i | −0.427416 | + | 0.195194i | ||||
\(973\) | −18.6995 | + | 16.2032i | −0.599478 | + | 0.519451i | ||||
\(974\) | 1.77472 | + | 12.3435i | 0.0568658 | + | 0.395510i | ||||
\(975\) | 11.5439 | + | 9.78951i | 0.369701 | + | 0.313515i | ||||
\(976\) | 4.47909 | − | 5.16914i | 0.143372 | − | 0.165460i | ||||
\(977\) | −21.8050 | + | 33.9293i | −0.697605 | + | 1.08549i | 0.293952 | + | 0.955820i | \(0.405029\pi\) |
−0.991557 | + | 0.129674i | \(0.958607\pi\) | |||||||
\(978\) | 0.0694177 | − | 0.108016i | 0.00221973 | − | 0.00345397i | ||||
\(979\) | −10.2423 | + | 11.8203i | −0.327346 | + | 0.377777i | ||||
\(980\) | −2.53238 | + | 4.69700i | −0.0808938 | + | 0.150040i | ||||
\(981\) | 3.55873 | + | 24.7515i | 0.113621 | + | 0.790255i | ||||
\(982\) | 10.1399 | − | 8.78624i | 0.323576 | − | 0.280380i | ||||
\(983\) | −18.0252 | + | 8.23184i | −0.574915 | + | 0.262555i | −0.681584 | − | 0.731740i | \(-0.738709\pi\) |
0.106669 | + | 0.994295i | \(0.465981\pi\) | |||||||
\(984\) | 6.72368 | − | 1.97425i | 0.214343 | − | 0.0629368i | ||||
\(985\) | −2.70673 | + | 3.65620i | −0.0862436 | + | 0.116496i | ||||
\(986\) | 6.80150 | − | 47.3055i | 0.216604 | − | 1.50651i | ||||
\(987\) | 8.36446 | + | 13.0154i | 0.266244 | + | 0.414283i | ||||
\(988\) | − | 24.7582i | − | 0.787662i | ||||||
\(989\) | −11.7013 | + | 11.2643i | −0.372081 | + | 0.358184i | ||||
\(990\) | 19.9358 | + | 4.22569i | 0.633600 | + | 0.134301i | ||||
\(991\) | −36.7271 | + | 23.6031i | −1.16668 | + | 0.749777i | −0.972890 | − | 0.231267i | \(-0.925713\pi\) |
−0.193786 | + | 0.981044i | \(0.562077\pi\) | |||||||
\(992\) | 4.74303 | + | 0.681945i | 0.150591 | + | 0.0216518i | ||||
\(993\) | −5.43445 | − | 2.48183i | −0.172457 | − | 0.0787585i | ||||
\(994\) | −17.9986 | + | 5.28486i | −0.570880 | + | 0.167626i | ||||
\(995\) | −26.7407 | + | 5.96641i | −0.847736 | + | 0.189148i | ||||
\(996\) | 2.91654 | + | 3.36587i | 0.0924142 | + | 0.106652i | ||||
\(997\) | −9.25208 | + | 1.33025i | −0.293016 | + | 0.0421294i | −0.287255 | − | 0.957854i | \(-0.592743\pi\) |
−0.00576084 | + | 0.999983i | \(0.501834\pi\) | |||||||
\(998\) | 0.874886 | − | 2.97959i | 0.0276940 | − | 0.0943172i | ||||
\(999\) | 20.3727 | − | 23.5113i | 0.644564 | − | 0.743866i |
(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 | 230.2.j.a.219.4 | yes | 120 | |
5.4 | even | 2 | inner | 230.2.j.a.219.9 | yes | 120 | |
23.2 | even | 11 | inner | 230.2.j.a.209.9 | yes | 120 | |
115.94 | even | 22 | inner | 230.2.j.a.209.4 | ✓ | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
230.2.j.a.209.4 | ✓ | 120 | 115.94 | even | 22 | inner | |
230.2.j.a.209.9 | yes | 120 | 23.2 | even | 11 | inner | |
230.2.j.a.219.4 | yes | 120 | 1.1 | even | 1 | trivial | |
230.2.j.a.219.9 | yes | 120 | 5.4 | even | 2 | inner |