Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [175,2,Mod(4,175)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(175, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([3, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("175.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 175 = 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 175.t (of order \(30\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.39738203537\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 109.4 | ||
Character | \(\chi\) | \(=\) | 175.109 |
Dual form | 175.2.t.a.114.4 |
$q$-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 \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{7}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.93770 | − | 0.203661i | −1.37016 | − | 0.144010i | −0.609309 | − | 0.792933i | \(-0.708553\pi\) |
−0.760854 | + | 0.648923i | \(0.775220\pi\) | |||||||
\(3\) | −0.500958 | + | 2.35682i | −0.289228 | + | 1.36071i | 0.558158 | + | 0.829735i | \(0.311508\pi\) |
−0.847386 | + | 0.530977i | \(0.821825\pi\) | |||||||
\(4\) | 1.75692 | + | 0.373445i | 0.878460 | + | 0.186722i | ||||
\(5\) | −0.306385 | + | 2.21498i | −0.137019 | + | 0.990568i | ||||
\(6\) | 1.45070 | − | 4.46479i | 0.592246 | − | 1.82274i | ||||
\(7\) | −2.52107 | + | 0.802620i | −0.952875 | + | 0.303362i | ||||
\(8\) | 0.377701 | + | 0.122722i | 0.133537 | + | 0.0433889i | ||||
\(9\) | −2.56301 | − | 1.14113i | −0.854338 | − | 0.380376i | ||||
\(10\) | 1.04479 | − | 4.22957i | 0.330390 | − | 1.33751i | ||||
\(11\) | 2.26739 | − | 1.00951i | 0.683644 | − | 0.304378i | −0.0353694 | − | 0.999374i | \(-0.511261\pi\) |
0.719013 | + | 0.694997i | \(0.244594\pi\) | |||||||
\(12\) | −1.76029 | + | 3.95367i | −0.508151 | + | 1.14132i | ||||
\(13\) | −2.29720 | − | 3.16183i | −0.637130 | − | 0.876934i | 0.361329 | − | 0.932439i | \(-0.382323\pi\) |
−0.998458 | + | 0.0555046i | \(0.982323\pi\) | |||||||
\(14\) | 5.04855 | − | 1.04180i | 1.34928 | − | 0.278432i | ||||
\(15\) | −5.06682 | − | 1.83170i | −1.30825 | − | 0.472944i | ||||
\(16\) | −3.98864 | − | 1.77586i | −0.997161 | − | 0.443965i | ||||
\(17\) | −2.30076 | + | 2.07161i | −0.558016 | + | 0.502440i | −0.899189 | − | 0.437561i | \(-0.855842\pi\) |
0.341173 | + | 0.940001i | \(0.389176\pi\) | |||||||
\(18\) | 4.73395 | + | 2.73315i | 1.11580 | + | 0.644210i | ||||
\(19\) | −5.00961 | + | 1.06483i | −1.14928 | + | 0.244288i | −0.742892 | − | 0.669411i | \(-0.766547\pi\) |
−0.406392 | + | 0.913699i | \(0.633213\pi\) | |||||||
\(20\) | −1.36546 | + | 3.77712i | −0.305327 | + | 0.844590i | ||||
\(21\) | −0.628681 | − | 6.34379i | −0.137190 | − | 1.38433i | ||||
\(22\) | −4.59912 | + | 1.49435i | −0.980537 | + | 0.318596i | ||||
\(23\) | 4.53438 | + | 0.476582i | 0.945483 | + | 0.0993743i | 0.564706 | − | 0.825292i | \(-0.308990\pi\) |
0.380778 | + | 0.924667i | \(0.375656\pi\) | |||||||
\(24\) | −0.478447 | + | 0.828694i | −0.0976625 | + | 0.169156i | ||||
\(25\) | −4.81226 | − | 1.35727i | −0.962451 | − | 0.271454i | ||||
\(26\) | 3.80736 | + | 6.59454i | 0.746684 | + | 1.29330i | ||||
\(27\) | −0.275367 | + | 0.379010i | −0.0529943 | + | 0.0729405i | ||||
\(28\) | −4.72905 | + | 0.468658i | −0.893707 | + | 0.0885680i | ||||
\(29\) | −0.797815 | − | 2.45542i | −0.148151 | − | 0.455960i | 0.849252 | − | 0.527987i | \(-0.177053\pi\) |
−0.997403 | + | 0.0720270i | \(0.977053\pi\) | |||||||
\(30\) | 9.44495 | + | 4.58121i | 1.72440 | + | 0.836411i | ||||
\(31\) | 4.22141 | + | 4.68835i | 0.758187 | + | 0.842053i | 0.991467 | − | 0.130357i | \(-0.0416124\pi\) |
−0.233280 | + | 0.972410i | \(0.574946\pi\) | |||||||
\(32\) | 6.67927 | + | 3.85628i | 1.18074 | + | 0.681700i | ||||
\(33\) | 1.24336 | + | 5.84955i | 0.216441 | + | 1.01828i | ||||
\(34\) | 4.88009 | − | 3.54559i | 0.836929 | − | 0.608064i | ||||
\(35\) | −1.00537 | − | 5.83003i | −0.169938 | − | 0.985455i | ||||
\(36\) | −4.07686 | − | 2.96201i | −0.679476 | − | 0.493669i | ||||
\(37\) | 3.31862 | − | 7.45374i | 0.545578 | − | 1.22539i | −0.404833 | − | 0.914391i | \(-0.632670\pi\) |
0.950411 | − | 0.310997i | \(-0.100663\pi\) | |||||||
\(38\) | 9.92401 | − | 1.04306i | 1.60989 | − | 0.169206i | ||||
\(39\) | 8.60267 | − | 3.83016i | 1.37753 | − | 0.613316i | ||||
\(40\) | −0.387549 | + | 0.798998i | −0.0612769 | + | 0.126333i | ||||
\(41\) | −4.21399 | + | 3.06164i | −0.658114 | + | 0.478148i | −0.866026 | − | 0.500000i | \(-0.833333\pi\) |
0.207911 | + | 0.978148i | \(0.433333\pi\) | |||||||
\(42\) | −0.0737844 | + | 12.4204i | −0.0113852 | + | 1.91651i | ||||
\(43\) | 5.80714i | 0.885580i | 0.896625 | + | 0.442790i | \(0.146011\pi\) | ||||
−0.896625 | + | 0.442790i | \(0.853989\pi\) | |||||||
\(44\) | 4.36062 | − | 0.926877i | 0.657387 | − | 0.139732i | ||||
\(45\) | 3.31284 | − | 5.32739i | 0.493849 | − | 0.794161i | ||||
\(46\) | −8.68922 | − | 1.84695i | −1.28116 | − | 0.272318i | ||||
\(47\) | −1.61989 | − | 1.45856i | −0.236286 | − | 0.212753i | 0.542478 | − | 0.840070i | \(-0.317486\pi\) |
−0.778764 | + | 0.627317i | \(0.784153\pi\) | |||||||
\(48\) | 6.18352 | − | 8.51089i | 0.892515 | − | 1.22844i | ||||
\(49\) | 5.71160 | − | 4.04692i | 0.815943 | − | 0.578132i | ||||
\(50\) | 9.04830 | + | 3.61005i | 1.27962 | + | 0.510539i | ||||
\(51\) | −3.72984 | − | 6.46027i | −0.522282 | − | 0.904618i | ||||
\(52\) | −2.85523 | − | 6.41296i | −0.395950 | − | 0.889317i | ||||
\(53\) | −1.59789 | + | 7.51748i | −0.219487 | + | 1.03260i | 0.721042 | + | 0.692891i | \(0.243663\pi\) |
−0.940529 | + | 0.339713i | \(0.889670\pi\) | |||||||
\(54\) | 0.610768 | − | 0.678327i | 0.0831150 | − | 0.0923086i | ||||
\(55\) | 1.54134 | + | 5.33152i | 0.207835 | + | 0.718901i | ||||
\(56\) | −1.05071 | − | 0.00624181i | −0.140407 | − | 0.000834097i | ||||
\(57\) | − | 12.3402i | − | 1.63450i | ||||||
\(58\) | 1.04586 | + | 4.92036i | 0.137328 | + | 0.646075i | ||||
\(59\) | 1.15540 | + | 10.9929i | 0.150420 | + | 1.43115i | 0.765880 | + | 0.642983i | \(0.222304\pi\) |
−0.615460 | + | 0.788168i | \(0.711030\pi\) | |||||||
\(60\) | −8.21796 | − | 5.11033i | −1.06093 | − | 0.659741i | ||||
\(61\) | −0.904700 | + | 8.60765i | −0.115835 | + | 1.10210i | 0.769983 | + | 0.638064i | \(0.220264\pi\) |
−0.885818 | + | 0.464032i | \(0.846402\pi\) | |||||||
\(62\) | −7.22500 | − | 9.94436i | −0.917576 | − | 1.26294i | ||||
\(63\) | 7.37743 | + | 0.819737i | 0.929469 | + | 0.103277i | ||||
\(64\) | −5.09255 | − | 3.69995i | −0.636568 | − | 0.462494i | ||||
\(65\) | 7.70721 | − | 4.11952i | 0.955962 | − | 0.510964i | ||||
\(66\) | −1.21794 | − | 11.5879i | −0.149918 | − | 1.42637i | ||||
\(67\) | −6.37162 | + | 5.73703i | −0.778417 | + | 0.700890i | −0.959230 | − | 0.282628i | \(-0.908794\pi\) |
0.180813 | + | 0.983518i | \(0.442127\pi\) | |||||||
\(68\) | −4.81588 | + | 2.78045i | −0.584011 | + | 0.337179i | ||||
\(69\) | −3.39475 | + | 10.4480i | −0.408680 | + | 1.25779i | ||||
\(70\) | 0.760757 | + | 11.5016i | 0.0909279 | + | 1.37471i | ||||
\(71\) | 4.36571 | + | 13.4363i | 0.518114 | + | 1.59459i | 0.777543 | + | 0.628830i | \(0.216466\pi\) |
−0.259428 | + | 0.965762i | \(0.583534\pi\) | |||||||
\(72\) | −0.828010 | − | 0.745543i | −0.0975819 | − | 0.0878631i | ||||
\(73\) | −5.00373 | − | 11.2386i | −0.585642 | − | 1.31537i | −0.926866 | − | 0.375392i | \(-0.877508\pi\) |
0.341224 | − | 0.939982i | \(-0.389159\pi\) | |||||||
\(74\) | −7.94853 | + | 13.7673i | −0.923998 | + | 1.60041i | ||||
\(75\) | 5.60958 | − | 10.6617i | 0.647739 | − | 1.23111i | ||||
\(76\) | −9.19914 | −1.05521 | ||||||||
\(77\) | −4.90600 | + | 4.36489i | −0.559091 | + | 0.497426i | ||||
\(78\) | −17.4495 | + | 5.66968i | −1.97576 | + | 0.641965i | ||||
\(79\) | −4.18464 | + | 4.64751i | −0.470809 | + | 0.522886i | −0.931042 | − | 0.364912i | \(-0.881099\pi\) |
0.460233 | + | 0.887798i | \(0.347766\pi\) | |||||||
\(80\) | 5.15555 | − | 8.29066i | 0.576408 | − | 0.926924i | ||||
\(81\) | −6.38718 | − | 7.09369i | −0.709687 | − | 0.788187i | ||||
\(82\) | 8.78899 | − | 5.07433i | 0.970582 | − | 0.560366i | ||||
\(83\) | −4.78601 | − | 1.55507i | −0.525332 | − | 0.170691i | 0.0343315 | − | 0.999410i | \(-0.489070\pi\) |
−0.559664 | + | 0.828720i | \(0.689070\pi\) | |||||||
\(84\) | 1.26451 | − | 11.3803i | 0.137970 | − | 1.24169i | ||||
\(85\) | −3.88366 | − | 5.73084i | −0.421242 | − | 0.621597i | ||||
\(86\) | 1.18269 | − | 11.2525i | 0.127532 | − | 1.21339i | ||||
\(87\) | 6.18666 | − | 0.650245i | 0.663280 | − | 0.0697135i | ||||
\(88\) | 0.980283 | − | 0.103032i | 0.104499 | − | 0.0109832i | ||||
\(89\) | 1.45225 | − | 13.8172i | 0.153938 | − | 1.46463i | −0.595929 | − | 0.803037i | \(-0.703216\pi\) |
0.749867 | − | 0.661588i | \(-0.230117\pi\) | |||||||
\(90\) | −7.50428 | + | 9.64821i | −0.791020 | + | 1.01701i | ||||
\(91\) | 8.32916 | + | 6.12742i | 0.873134 | + | 0.642328i | ||||
\(92\) | 7.78856 | + | 2.53066i | 0.812014 | + | 0.263839i | ||||
\(93\) | −13.1644 | + | 7.60044i | −1.36508 | + | 0.788129i | ||||
\(94\) | 2.84182 | + | 3.15616i | 0.293111 | + | 0.325533i | ||||
\(95\) | −0.823699 | − | 11.4224i | −0.0845097 | − | 1.17192i | ||||
\(96\) | −12.4346 | + | 13.8100i | −1.26910 | + | 1.40948i | ||||
\(97\) | 4.30851 | − | 1.39992i | 0.437463 | − | 0.142140i | −0.0820021 | − | 0.996632i | \(-0.526131\pi\) |
0.519465 | + | 0.854492i | \(0.326131\pi\) | |||||||
\(98\) | −11.8916 | + | 6.67851i | −1.20123 | + | 0.674631i | ||||
\(99\) | −6.96332 | −0.699840 | ||||||||
\(100\) | −7.94788 | − | 4.18173i | −0.794788 | − | 0.418173i | ||||
\(101\) | −5.70073 | + | 9.87396i | −0.567244 | + | 0.982495i | 0.429593 | + | 0.903023i | \(0.358657\pi\) |
−0.996837 | + | 0.0794728i | \(0.974676\pi\) | |||||||
\(102\) | 5.91161 | + | 13.2777i | 0.585337 | + | 1.31469i | ||||
\(103\) | 1.13579 | + | 1.02267i | 0.111913 | + | 0.100767i | 0.723188 | − | 0.690652i | \(-0.242676\pi\) |
−0.611274 | + | 0.791419i | \(0.709343\pi\) | |||||||
\(104\) | −0.479628 | − | 1.47614i | −0.0470314 | − | 0.144748i | ||||
\(105\) | 14.2440 | + | 0.551125i | 1.39007 | + | 0.0537843i | ||||
\(106\) | 4.62725 | − | 14.2412i | 0.449438 | − | 1.38323i | ||||
\(107\) | −7.85780 | + | 4.53670i | −0.759642 | + | 0.438580i | −0.829167 | − | 0.559000i | \(-0.811185\pi\) |
0.0695249 | + | 0.997580i | \(0.477852\pi\) | |||||||
\(108\) | −0.625336 | + | 0.563055i | −0.0601730 | + | 0.0541800i | ||||
\(109\) | −0.397371 | − | 3.78073i | −0.0380612 | − | 0.362129i | −0.996931 | − | 0.0782828i | \(-0.975056\pi\) |
0.958870 | − | 0.283846i | \(-0.0916104\pi\) | |||||||
\(110\) | −1.90084 | − | 10.6448i | −0.181238 | − | 1.01494i | ||||
\(111\) | 15.9046 | + | 11.5554i | 1.50960 | + | 1.09679i | ||||
\(112\) | 11.4810 | + | 1.27570i | 1.08485 | + | 0.120542i | ||||
\(113\) | 7.52234 | + | 10.3536i | 0.707643 | + | 0.973986i | 0.999845 | + | 0.0176298i | \(0.00561202\pi\) |
−0.292202 | + | 0.956357i | \(0.594388\pi\) | |||||||
\(114\) | −2.51321 | + | 23.9116i | −0.235384 | + | 2.23953i | ||||
\(115\) | −2.44488 | + | 9.89753i | −0.227987 | + | 0.922950i | ||||
\(116\) | −0.484732 | − | 4.61192i | −0.0450062 | − | 0.428206i | ||||
\(117\) | 2.27971 | + | 10.7252i | 0.210760 | + | 0.991546i | ||||
\(118\) | − | 21.5362i | − | 1.98257i | ||||||
\(119\) | 4.13766 | − | 7.06932i | 0.379299 | − | 0.648043i | ||||
\(120\) | −1.68895 | − | 1.31365i | −0.154179 | − | 0.119919i | ||||
\(121\) | −3.23849 | + | 3.59670i | −0.294408 | + | 0.326973i | ||||
\(122\) | 3.50608 | − | 16.4948i | 0.317426 | − | 1.49337i | ||||
\(123\) | −5.10471 | − | 11.4654i | −0.460276 | − | 1.03380i | ||||
\(124\) | 5.66584 | + | 9.81351i | 0.508807 | + | 0.881280i | ||||
\(125\) | 4.48072 | − | 10.2432i | 0.400768 | − | 0.916179i | ||||
\(126\) | −14.1283 | − | 3.09090i | −1.25865 | − | 0.275359i | ||||
\(127\) | 5.72589 | − | 7.88102i | 0.508091 | − | 0.699327i | −0.475505 | − | 0.879713i | \(-0.657735\pi\) |
0.983596 | + | 0.180386i | \(0.0577346\pi\) | |||||||
\(128\) | −2.34879 | − | 2.11486i | −0.207605 | − | 0.186929i | ||||
\(129\) | −13.6864 | − | 2.90913i | −1.20502 | − | 0.256135i | ||||
\(130\) | −15.7733 | + | 6.41275i | −1.38341 | + | 0.562436i | ||||
\(131\) | 17.4629 | − | 3.71185i | 1.52574 | − | 0.324306i | 0.632740 | − | 0.774365i | \(-0.281930\pi\) |
0.892999 | + | 0.450059i | \(0.148597\pi\) | |||||||
\(132\) | 10.7415i | 0.934929i | ||||||||
\(133\) | 11.7749 | − | 6.70532i | 1.02102 | − | 0.581425i | ||||
\(134\) | 13.5147 | − | 9.81901i | 1.16749 | − | 0.848233i | ||||
\(135\) | −0.755130 | − | 0.726054i | −0.0649913 | − | 0.0624888i | ||||
\(136\) | −1.12323 | + | 0.500095i | −0.0963163 | + | 0.0428828i | ||||
\(137\) | −3.22091 | + | 0.338532i | −0.275181 | + | 0.0289227i | −0.241114 | − | 0.970497i | \(-0.577513\pi\) |
−0.0340673 | + | 0.999420i | \(0.510846\pi\) | |||||||
\(138\) | 8.70586 | − | 19.5537i | 0.741092 | − | 1.66452i | ||||
\(139\) | 6.18949 | + | 4.49693i | 0.524986 | + | 0.381424i | 0.818479 | − | 0.574537i | \(-0.194818\pi\) |
−0.293493 | + | 0.955961i | \(0.594818\pi\) | |||||||
\(140\) | 0.410842 | − | 10.6183i | 0.0347225 | − | 0.897413i | ||||
\(141\) | 4.24906 | − | 3.08712i | 0.357836 | − | 0.259983i | ||||
\(142\) | −5.72301 | − | 26.9246i | −0.480264 | − | 2.25946i | ||||
\(143\) | −8.40055 | − | 4.85006i | −0.702489 | − | 0.405582i | ||||
\(144\) | 8.19646 | + | 9.10310i | 0.683039 | + | 0.758591i | ||||
\(145\) | 5.68314 | − | 1.01484i | 0.471959 | − | 0.0842778i | ||||
\(146\) | 7.40689 | + | 22.7961i | 0.612999 | + | 1.88662i | ||||
\(147\) | 6.67661 | + | 15.4886i | 0.550677 | + | 1.27748i | ||||
\(148\) | 8.61411 | − | 11.8563i | 0.708075 | − | 0.974582i | ||||
\(149\) | 1.84866 | + | 3.20197i | 0.151448 | + | 0.262315i | 0.931760 | − | 0.363075i | \(-0.118273\pi\) |
−0.780312 | + | 0.625390i | \(0.784940\pi\) | |||||||
\(150\) | −13.0411 | + | 19.5167i | −1.06480 | + | 1.59354i | ||||
\(151\) | 1.10361 | − | 1.91151i | 0.0898105 | − | 0.155556i | −0.817620 | − | 0.575758i | \(-0.804707\pi\) |
0.907431 | + | 0.420201i | \(0.138041\pi\) | |||||||
\(152\) | −2.02281 | − | 0.212606i | −0.164072 | − | 0.0172446i | ||||
\(153\) | 8.26085 | − | 2.68411i | 0.667850 | − | 0.216998i | ||||
\(154\) | 10.3953 | − | 7.45870i | 0.837679 | − | 0.601039i | ||||
\(155\) | −11.6780 | + | 7.91389i | −0.937997 | + | 0.635659i | ||||
\(156\) | 16.5446 | − | 3.51665i | 1.32462 | − | 0.281558i | ||||
\(157\) | 20.8287 | + | 12.0255i | 1.66231 | + | 0.959738i | 0.971606 | + | 0.236605i | \(0.0760347\pi\) |
0.690709 | + | 0.723133i | \(0.257299\pi\) | |||||||
\(158\) | 9.05510 | − | 8.15325i | 0.720385 | − | 0.648638i | ||||
\(159\) | −16.9169 | − | 7.53188i | −1.34160 | − | 0.597317i | ||||
\(160\) | −10.5880 | + | 13.6129i | −0.837055 | + | 1.07620i | ||||
\(161\) | −11.8140 | + | 2.43788i | −0.931074 | + | 0.192132i | ||||
\(162\) | 10.9318 | + | 15.0463i | 0.858880 | + | 1.18215i | ||||
\(163\) | 0.394267 | − | 0.885537i | 0.0308813 | − | 0.0693606i | −0.897446 | − | 0.441124i | \(-0.854580\pi\) |
0.928328 | + | 0.371763i | \(0.121247\pi\) | |||||||
\(164\) | −8.54699 | + | 3.80536i | −0.667408 | + | 0.297149i | ||||
\(165\) | −13.3376 | + | 0.961805i | −1.03833 | + | 0.0748764i | ||||
\(166\) | 8.95715 | + | 3.98798i | 0.695210 | + | 0.309527i | ||||
\(167\) | 1.74340 | + | 0.566466i | 0.134908 | + | 0.0438344i | 0.375693 | − | 0.926744i | \(-0.377405\pi\) |
−0.240785 | + | 0.970579i | \(0.577405\pi\) | |||||||
\(168\) | 0.541072 | − | 2.47321i | 0.0417446 | − | 0.190812i | ||||
\(169\) | −0.702803 | + | 2.16301i | −0.0540618 | + | 0.166385i | ||||
\(170\) | 6.35823 | + | 11.8956i | 0.487654 | + | 0.912352i | ||||
\(171\) | 14.0548 | + | 2.98744i | 1.07480 | + | 0.228455i | ||||
\(172\) | −2.16865 | + | 10.2027i | −0.165358 | + | 0.777947i | ||||
\(173\) | 7.79368 | + | 0.819149i | 0.592543 | + | 0.0622788i | 0.396054 | − | 0.918227i | \(-0.370379\pi\) |
0.196489 | + | 0.980506i | \(0.437046\pi\) | |||||||
\(174\) | −12.1203 | −0.918841 | ||||||||
\(175\) | 13.2214 | − | 0.440639i | 0.999445 | − | 0.0333092i | ||||
\(176\) | −10.8365 | −0.816836 | ||||||||
\(177\) | −26.4871 | − | 2.78390i | −1.99089 | − | 0.209251i | ||||
\(178\) | −5.62806 | + | 26.4780i | −0.421841 | + | 1.98461i | ||||
\(179\) | −10.4544 | − | 2.22214i | −0.781396 | − | 0.166091i | −0.200092 | − | 0.979777i | \(-0.564124\pi\) |
−0.581304 | + | 0.813686i | \(0.697457\pi\) | |||||||
\(180\) | 7.80988 | − | 8.12264i | 0.582114 | − | 0.605426i | ||||
\(181\) | −1.89456 | + | 5.83087i | −0.140822 | + | 0.433405i | −0.996450 | − | 0.0841859i | \(-0.973171\pi\) |
0.855628 | + | 0.517591i | \(0.173171\pi\) | |||||||
\(182\) | −14.8915 | − | 13.5694i | −1.10383 | − | 1.00583i | ||||
\(183\) | −19.8335 | − | 6.44429i | −1.46613 | − | 0.476375i | ||||
\(184\) | 1.65415 | + | 0.736475i | 0.121946 | + | 0.0542937i | ||||
\(185\) | 15.4931 | + | 9.63438i | 1.13908 | + | 0.708334i | ||||
\(186\) | 27.0565 | − | 12.0463i | 1.98388 | − | 0.883280i | ||||
\(187\) | −3.12541 | + | 7.01978i | −0.228553 | + | 0.513337i | ||||
\(188\) | −2.30133 | − | 3.16751i | −0.167842 | − | 0.231014i | ||||
\(189\) | 0.390018 | − | 1.17653i | 0.0283697 | − | 0.0855796i | ||||
\(190\) | −0.730218 | + | 22.3010i | −0.0529755 | + | 1.61789i | ||||
\(191\) | 19.5821 | + | 8.71852i | 1.41691 | + | 0.630850i | 0.965247 | − | 0.261338i | \(-0.0841637\pi\) |
0.451665 | + | 0.892188i | \(0.350830\pi\) | |||||||
\(192\) | 11.2713 | − | 10.1487i | 0.813434 | − | 0.732420i | ||||
\(193\) | −1.64900 | − | 0.952048i | −0.118697 | − | 0.0685299i | 0.439476 | − | 0.898254i | \(-0.355164\pi\) |
−0.558173 | + | 0.829724i | \(0.688498\pi\) | |||||||
\(194\) | −8.63371 | + | 1.83515i | −0.619865 | + | 0.131756i | ||||
\(195\) | 5.84799 | + | 20.2282i | 0.418783 | + | 1.44857i | ||||
\(196\) | 11.5461 | − | 4.97715i | 0.824723 | − | 0.355511i | ||||
\(197\) | 3.23369 | − | 1.05069i | 0.230391 | − | 0.0748586i | −0.191546 | − | 0.981484i | \(-0.561350\pi\) |
0.421937 | + | 0.906625i | \(0.361350\pi\) | |||||||
\(198\) | 13.4929 | + | 1.41816i | 0.958895 | + | 0.100784i | ||||
\(199\) | 4.13160 | − | 7.15614i | 0.292881 | − | 0.507286i | −0.681608 | − | 0.731717i | \(-0.738719\pi\) |
0.974490 | + | 0.224432i | \(0.0720525\pi\) | |||||||
\(200\) | −1.65102 | − | 1.10321i | −0.116745 | − | 0.0780089i | ||||
\(201\) | −10.3292 | − | 17.8908i | −0.728569 | − | 1.26192i | ||||
\(202\) | 13.0573 | − | 17.9718i | 0.918706 | − | 1.26449i | ||||
\(203\) | 3.98212 | + | 5.54995i | 0.279490 | + | 0.389530i | ||||
\(204\) | −4.14047 | − | 12.7431i | −0.289891 | − | 0.892192i | ||||
\(205\) | −5.49037 | − | 10.2719i | −0.383464 | − | 0.717423i | ||||
\(206\) | −1.99255 | − | 2.21296i | −0.138828 | − | 0.154184i | ||||
\(207\) | −11.0778 | − | 6.39579i | −0.769962 | − | 0.444538i | ||||
\(208\) | 3.54777 | + | 16.6909i | 0.245993 | + | 1.15731i | ||||
\(209\) | −10.2838 | + | 7.47162i | −0.711345 | + | 0.516823i | ||||
\(210\) | −27.4884 | − | 3.96886i | −1.89688 | − | 0.273877i | ||||
\(211\) | −18.1583 | − | 13.1928i | −1.25007 | − | 0.908228i | −0.251842 | − | 0.967768i | \(-0.581036\pi\) |
−0.998226 | + | 0.0595406i | \(0.981036\pi\) | |||||||
\(212\) | −5.61472 | + | 12.6109i | −0.385621 | + | 0.866118i | ||||
\(213\) | −33.8539 | + | 3.55819i | −2.31963 | + | 0.243803i | ||||
\(214\) | 16.1500 | − | 7.19046i | 1.10399 | − | 0.491530i | ||||
\(215\) | −12.8627 | − | 1.77922i | −0.877228 | − | 0.121342i | ||||
\(216\) | −0.150519 | + | 0.109359i | −0.0102415 | + | 0.00744091i | ||||
\(217\) | −14.4054 | − | 8.43148i | −0.977905 | − | 0.572366i | ||||
\(218\) | 7.40687i | 0.501656i | ||||||||
\(219\) | 28.9940 | − | 6.16285i | 1.95923 | − | 0.416447i | ||||
\(220\) | 0.716988 | + | 9.94265i | 0.0483393 | + | 0.670333i | ||||
\(221\) | 11.8354 | + | 2.51569i | 0.796135 | + | 0.169224i | ||||
\(222\) | −28.4651 | − | 25.6301i | −1.91045 | − | 1.72018i | ||||
\(223\) | 5.23518 | − | 7.20560i | 0.350573 | − | 0.482523i | −0.596919 | − | 0.802302i | \(-0.703609\pi\) |
0.947492 | + | 0.319779i | \(0.103609\pi\) | |||||||
\(224\) | −19.9340 | − | 4.36104i | −1.33190 | − | 0.291384i | ||||
\(225\) | 10.7851 | + | 8.97010i | 0.719004 | + | 0.598006i | ||||
\(226\) | −12.4674 | − | 21.5942i | −0.829322 | − | 1.43643i | ||||
\(227\) | −5.11260 | − | 11.4831i | −0.339335 | − | 0.762159i | −0.999935 | − | 0.0114208i | \(-0.996365\pi\) |
0.660600 | − | 0.750738i | \(-0.270302\pi\) | |||||||
\(228\) | 4.60838 | − | 21.6807i | 0.305198 | − | 1.43584i | ||||
\(229\) | −11.0658 | + | 12.2899i | −0.731251 | + | 0.812137i | −0.988018 | − | 0.154337i | \(-0.950676\pi\) |
0.256767 | + | 0.966473i | \(0.417343\pi\) | |||||||
\(230\) | 6.75320 | − | 18.6806i | 0.445293 | − | 1.23176i | ||||
\(231\) | −7.82957 | − | 13.7492i | −0.515148 | − | 0.904631i | ||||
\(232\) | − | 1.02532i | − | 0.0673158i | ||||||
\(233\) | 1.21215 | + | 5.70270i | 0.0794104 | + | 0.373597i | 0.999851 | − | 0.0172869i | \(-0.00550286\pi\) |
−0.920440 | + | 0.390884i | \(0.872170\pi\) | |||||||
\(234\) | −2.23310 | − | 21.2466i | −0.145983 | − | 1.38893i | ||||
\(235\) | 3.72699 | − | 3.14115i | 0.243122 | − | 0.204906i | ||||
\(236\) | −2.07529 | + | 19.7451i | −0.135090 | + | 1.28530i | ||||
\(237\) | −8.85703 | − | 12.1907i | −0.575326 | − | 0.791868i | ||||
\(238\) | −9.45730 | + | 12.8556i | −0.613025 | + | 0.833302i | ||||
\(239\) | −3.29768 | − | 2.39590i | −0.213309 | − | 0.154978i | 0.476001 | − | 0.879445i | \(-0.342086\pi\) |
−0.689310 | + | 0.724467i | \(0.742086\pi\) | |||||||
\(240\) | 16.9569 | + | 16.3040i | 1.09456 | + | 1.05242i | ||||
\(241\) | −2.37867 | − | 22.6315i | −0.153224 | − | 1.45783i | −0.753191 | − | 0.657801i | \(-0.771487\pi\) |
0.599968 | − | 0.800024i | \(-0.295180\pi\) | |||||||
\(242\) | 7.00773 | − | 6.30979i | 0.450474 | − | 0.405609i | ||||
\(243\) | 18.7011 | − | 10.7971i | 1.19968 | − | 0.692634i | ||||
\(244\) | −4.80397 | + | 14.7851i | −0.307542 | + | 0.946518i | ||||
\(245\) | 7.21390 | + | 13.8910i | 0.460879 | + | 0.887463i | ||||
\(246\) | 7.55637 | + | 23.2561i | 0.481776 | + | 1.48276i | ||||
\(247\) | 14.8749 | + | 13.3934i | 0.946468 | + | 0.852203i | ||||
\(248\) | 1.01906 | + | 2.28885i | 0.0647106 | + | 0.145342i | ||||
\(249\) | 6.06260 | − | 10.5007i | 0.384202 | − | 0.665457i | ||||
\(250\) | −10.7684 | + | 18.9357i | −0.681057 | + | 1.19760i | ||||
\(251\) | 2.64599 | 0.167014 | 0.0835068 | − | 0.996507i | \(-0.473388\pi\) | ||||
0.0835068 | + | 0.996507i | \(0.473388\pi\) | |||||||
\(252\) | 12.6554 | + | 4.19527i | 0.797217 | + | 0.264277i | ||||
\(253\) | 10.7623 | − | 3.49689i | 0.676621 | − | 0.219848i | ||||
\(254\) | −12.7001 | + | 14.1049i | −0.796877 | + | 0.885022i | ||||
\(255\) | 15.4521 | − | 6.28218i | 0.967649 | − | 0.393406i | ||||
\(256\) | 12.5445 | + | 13.9321i | 0.784033 | + | 0.870757i | ||||
\(257\) | 1.72089 | − | 0.993558i | 0.107346 | − | 0.0619765i | −0.445366 | − | 0.895349i | \(-0.646926\pi\) |
0.552712 | + | 0.833372i | \(0.313593\pi\) | |||||||
\(258\) | 25.9277 | + | 8.42441i | 1.61419 | + | 0.524481i | ||||
\(259\) | −2.38396 | + | 21.4550i | −0.148132 | + | 1.33315i | ||||
\(260\) | 15.0794 | − | 4.35945i | 0.935182 | − | 0.270362i | ||||
\(261\) | −0.757138 | + | 7.20369i | −0.0468657 | + | 0.445897i | ||||
\(262\) | −34.5938 | + | 3.63596i | −2.13721 | + | 0.224630i | ||||
\(263\) | 29.2703 | − | 3.07643i | 1.80488 | − | 0.189701i | 0.858514 | − | 0.512789i | \(-0.171388\pi\) |
0.946369 | + | 0.323089i | \(0.104721\pi\) | |||||||
\(264\) | −0.248253 | + | 2.36197i | −0.0152789 | + | 0.145369i | ||||
\(265\) | −16.1615 | − | 5.84253i | −0.992792 | − | 0.358904i | ||||
\(266\) | −24.1820 | + | 10.5948i | −1.48269 | + | 0.649610i | ||||
\(267\) | 31.8373 | + | 10.3446i | 1.94841 | + | 0.633077i | ||||
\(268\) | −13.3369 | + | 7.70005i | −0.814679 | + | 0.470355i | ||||
\(269\) | −16.0029 | − | 17.7731i | −0.975716 | − | 1.08364i | −0.996478 | − | 0.0838581i | \(-0.973276\pi\) |
0.0207615 | − | 0.999784i | \(-0.493391\pi\) | |||||||
\(270\) | 1.31535 | + | 1.56067i | 0.0800496 | + | 0.0949792i | ||||
\(271\) | 8.07573 | − | 8.96901i | 0.490566 | − | 0.544829i | −0.446132 | − | 0.894967i | \(-0.647199\pi\) |
0.936698 | + | 0.350139i | \(0.113865\pi\) | |||||||
\(272\) | 12.8558 | − | 4.17710i | 0.779497 | − | 0.253274i | ||||
\(273\) | −18.6138 | + | 16.5608i | −1.12656 | + | 1.00230i | ||||
\(274\) | 6.31012 | 0.381208 | ||||||||
\(275\) | −12.2814 | + | 1.78055i | −0.740598 | + | 0.107371i | ||||
\(276\) | −9.86605 | + | 17.0885i | −0.593866 | + | 1.02861i | ||||
\(277\) | 7.59132 | + | 17.0504i | 0.456118 | + | 1.02446i | 0.984489 | + | 0.175444i | \(0.0561362\pi\) |
−0.528371 | + | 0.849013i | \(0.677197\pi\) | |||||||
\(278\) | −11.0775 | − | 9.97426i | −0.664387 | − | 0.598217i | ||||
\(279\) | −5.46952 | − | 16.8335i | −0.327452 | − | 1.00779i | ||||
\(280\) | 0.335747 | − | 2.32539i | 0.0200647 | − | 0.138968i | ||||
\(281\) | 2.07291 | − | 6.37978i | 0.123660 | − | 0.380585i | −0.869995 | − | 0.493061i | \(-0.835878\pi\) |
0.993655 | + | 0.112475i | \(0.0358780\pi\) | |||||||
\(282\) | −8.86214 | + | 5.11656i | −0.527733 | + | 0.304687i | ||||
\(283\) | 6.62608 | − | 5.96615i | 0.393880 | − | 0.354651i | −0.448267 | − | 0.893900i | \(-0.647958\pi\) |
0.842146 | + | 0.539249i | \(0.181292\pi\) | |||||||
\(284\) | 2.65249 | + | 25.2368i | 0.157397 | + | 1.49753i | ||||
\(285\) | 27.3333 | + | 3.78085i | 1.61908 | + | 0.223958i | ||||
\(286\) | 15.2900 | + | 11.1088i | 0.904116 | + | 0.656879i | ||||
\(287\) | 8.16643 | − | 11.1008i | 0.482049 | − | 0.655262i | ||||
\(288\) | −12.7186 | − | 17.5056i | −0.749448 | − | 1.03153i | ||||
\(289\) | −0.775072 | + | 7.37431i | −0.0455924 | + | 0.433783i | ||||
\(290\) | −11.2189 | + | 0.809024i | −0.658798 | + | 0.0475075i | ||||
\(291\) | 1.14098 | + | 10.8557i | 0.0668853 | + | 0.636371i | ||||
\(292\) | −4.59417 | − | 21.6139i | −0.268853 | − | 1.26486i | ||||
\(293\) | 21.1628i | 1.23634i | 0.786043 | + | 0.618171i | \(0.212126\pi\) | ||||
−0.786043 | + | 0.618171i | \(0.787874\pi\) | |||||||
\(294\) | −9.78287 | − | 31.3720i | −0.570548 | − | 1.82965i | ||||
\(295\) | −24.7030 | − | 0.808866i | −1.43826 | − | 0.0470940i | ||||
\(296\) | 2.16819 | − | 2.40801i | 0.126023 | − | 0.139963i | ||||
\(297\) | −0.241751 | + | 1.13735i | −0.0140278 | + | 0.0659956i | ||||
\(298\) | −2.93003 | − | 6.58096i | −0.169732 | − | 0.381225i | ||||
\(299\) | −8.90952 | − | 15.4317i | −0.515251 | − | 0.892441i | ||||
\(300\) | 13.8371 | − | 16.6369i | 0.798887 | − | 0.960530i | ||||
\(301\) | −4.66093 | − | 14.6402i | −0.268651 | − | 0.843848i | ||||
\(302\) | −2.52777 | + | 3.47917i | −0.145457 | + | 0.200204i | ||||
\(303\) | −20.4153 | − | 18.3820i | −1.17283 | − | 1.05602i | ||||
\(304\) | 21.8725 | + | 4.64915i | 1.25448 | + | 0.266647i | ||||
\(305\) | −18.7886 | − | 4.64114i | −1.07583 | − | 0.265751i | ||||
\(306\) | −16.5537 | + | 3.51860i | −0.946313 | + | 0.201145i | ||||
\(307\) | 20.4087i | 1.16479i | 0.812907 | + | 0.582393i | \(0.197884\pi\) | ||||
−0.812907 | + | 0.582393i | \(0.802116\pi\) | |||||||
\(308\) | −10.2495 | + | 5.83664i | −0.584019 | + | 0.332573i | ||||
\(309\) | −2.97925 | + | 2.16455i | −0.169483 | + | 0.123137i | ||||
\(310\) | 24.2402 | − | 12.9564i | 1.37675 | − | 0.735876i | ||||
\(311\) | −2.62585 | + | 1.16910i | −0.148898 | + | 0.0662937i | −0.479833 | − | 0.877360i | \(-0.659303\pi\) |
0.330935 | + | 0.943654i | \(0.392636\pi\) | |||||||
\(312\) | 3.71928 | − | 0.390912i | 0.210563 | − | 0.0221310i | ||||
\(313\) | −1.66346 | + | 3.73620i | −0.0940244 | + | 0.211182i | −0.954435 | − | 0.298419i | \(-0.903541\pi\) |
0.860410 | + | 0.509602i | \(0.170207\pi\) | |||||||
\(314\) | −37.9108 | − | 27.5438i | −2.13943 | − | 1.55439i | ||||
\(315\) | −4.07603 | + | 16.0897i | −0.229658 | + | 0.906551i | ||||
\(316\) | −9.08766 | + | 6.60257i | −0.511221 | + | 0.371424i | ||||
\(317\) | −0.712202 | − | 3.35065i | −0.0400012 | − | 0.188191i | 0.953611 | − | 0.301043i | \(-0.0973348\pi\) |
−0.993612 | + | 0.112852i | \(0.964001\pi\) | |||||||
\(318\) | 31.2459 | + | 18.0398i | 1.75218 | + | 1.01162i | ||||
\(319\) | −4.28772 | − | 4.76200i | −0.240066 | − | 0.266621i | ||||
\(320\) | 9.75559 | − | 10.1463i | 0.545354 | − | 0.567194i | ||||
\(321\) | −6.75577 | − | 20.7921i | −0.377071 | − | 1.16050i | ||||
\(322\) | 23.3885 | − | 2.31785i | 1.30339 | − | 0.129169i | ||||
\(323\) | 9.32001 | − | 12.8279i | 0.518579 | − | 0.713763i | ||||
\(324\) | −8.57267 | − | 14.8483i | −0.476259 | − | 0.824905i | ||||
\(325\) | 6.76328 | + | 18.3335i | 0.375159 | + | 1.01696i | ||||
\(326\) | −0.944320 | + | 1.63561i | −0.0523011 | + | 0.0905881i | ||||
\(327\) | 9.10958 | + | 0.957455i | 0.503761 | + | 0.0529474i | ||||
\(328\) | −1.96736 | + | 0.639233i | −0.108629 | + | 0.0352957i | ||||
\(329\) | 5.25454 | + | 2.37697i | 0.289692 | + | 0.131047i | ||||
\(330\) | 26.0401 | + | 0.852650i | 1.43346 | + | 0.0469368i | ||||
\(331\) | −26.3412 | + | 5.59900i | −1.44784 | + | 0.307749i | −0.863743 | − | 0.503932i | \(-0.831886\pi\) |
−0.584101 | + | 0.811681i | \(0.698553\pi\) | |||||||
\(332\) | −7.82789 | − | 4.51944i | −0.429612 | − | 0.248036i | ||||
\(333\) | −17.0113 | + | 15.3171i | −0.932215 | + | 0.839370i | ||||
\(334\) | −3.26283 | − | 1.45270i | −0.178534 | − | 0.0794885i | ||||
\(335\) | −10.7552 | − | 15.8707i | −0.587621 | − | 0.867111i | ||||
\(336\) | −8.75809 | + | 26.4196i | −0.477793 | + | 1.44131i | ||||
\(337\) | 15.3283 | + | 21.0976i | 0.834986 | + | 1.14926i | 0.986974 | + | 0.160877i | \(0.0514323\pi\) |
−0.151988 | + | 0.988382i | \(0.548568\pi\) | |||||||
\(338\) | 1.80234 | − | 4.04813i | 0.0980345 | − | 0.220189i | ||||
\(339\) | −28.1700 | + | 12.5421i | −1.52998 | + | 0.681193i | ||||
\(340\) | −4.68312 | − | 11.5190i | −0.253978 | − | 0.624703i | ||||
\(341\) | 14.3045 | + | 6.36877i | 0.774632 | + | 0.344888i | ||||
\(342\) | −26.6256 | − | 8.65119i | −1.43975 | − | 0.467803i | ||||
\(343\) | −11.1512 | + | 14.7868i | −0.602109 | + | 0.798414i | ||||
\(344\) | −0.712666 | + | 2.19336i | −0.0384244 | + | 0.118258i | ||||
\(345\) | −22.1019 | − | 10.7204i | −1.18993 | − | 0.577167i | ||||
\(346\) | −14.9350 | − | 3.17454i | −0.802911 | − | 0.170664i | ||||
\(347\) | −5.06067 | + | 23.8086i | −0.271671 | + | 1.27811i | 0.604691 | + | 0.796460i | \(0.293297\pi\) |
−0.876362 | + | 0.481652i | \(0.840037\pi\) | |||||||
\(348\) | 11.1123 | + | 1.16795i | 0.595682 | + | 0.0626087i | ||||
\(349\) | 28.5904 | 1.53041 | 0.765206 | − | 0.643786i | \(-0.222637\pi\) | ||||
0.765206 | + | 0.643786i | \(0.222637\pi\) | |||||||
\(350\) | −25.7089 | − | 1.83886i | −1.37420 | − | 0.0982910i | ||||
\(351\) | 1.83094 | 0.0977282 | ||||||||
\(352\) | 19.0374 | + | 2.00092i | 1.01470 | + | 0.106649i | ||||
\(353\) | −0.362725 | + | 1.70649i | −0.0193059 | + | 0.0908270i | −0.986746 | − | 0.162274i | \(-0.948117\pi\) |
0.967440 | + | 0.253101i | \(0.0814505\pi\) | |||||||
\(354\) | 50.7571 | + | 10.7888i | 2.69771 | + | 0.573416i | ||||
\(355\) | −31.0986 | + | 5.55329i | −1.65054 | + | 0.294738i | ||||
\(356\) | 7.71147 | − | 23.7335i | 0.408707 | − | 1.25787i | ||||
\(357\) | 14.5883 | + | 13.2932i | 0.772096 | + | 0.703548i | ||||
\(358\) | 19.8049 | + | 6.43500i | 1.04672 | + | 0.340100i | ||||
\(359\) | 9.94263 | + | 4.42674i | 0.524752 | + | 0.233635i | 0.651976 | − | 0.758239i | \(-0.273940\pi\) |
−0.127224 | + | 0.991874i | \(0.540607\pi\) | |||||||
\(360\) | 1.90505 | − | 1.60560i | 0.100405 | − | 0.0846226i | ||||
\(361\) | 6.60502 | − | 2.94074i | 0.347633 | − | 0.154776i | ||||
\(362\) | 4.85862 | − | 10.9126i | 0.255363 | − | 0.573556i | ||||
\(363\) | −6.85444 | − | 9.43433i | −0.359765 | − | 0.495174i | ||||
\(364\) | 12.3454 | + | 13.8759i | 0.647076 | + | 0.727293i | ||||
\(365\) | 26.4262 | − | 7.63983i | 1.38321 | − | 0.399887i | ||||
\(366\) | 37.1189 | + | 16.5264i | 1.94024 | + | 0.863849i | ||||
\(367\) | 9.26076 | − | 8.33843i | 0.483408 | − | 0.435262i | −0.391046 | − | 0.920371i | \(-0.627887\pi\) |
0.874454 | + | 0.485109i | \(0.161220\pi\) | |||||||
\(368\) | −17.2397 | − | 9.95333i | −0.898680 | − | 0.518853i | ||||
\(369\) | 14.2942 | − | 3.03833i | 0.744128 | − | 0.158169i | ||||
\(370\) | −28.0589 | − | 21.8239i | −1.45871 | − | 1.13457i | ||||
\(371\) | −2.00528 | − | 20.2346i | −0.104109 | − | 1.05053i | ||||
\(372\) | −25.9670 | + | 8.43721i | −1.34633 | + | 0.437449i | ||||
\(373\) | 12.9487 | + | 1.36096i | 0.670459 | + | 0.0704680i | 0.433641 | − | 0.901086i | \(-0.357229\pi\) |
0.236818 | + | 0.971554i | \(0.423895\pi\) | |||||||
\(374\) | 7.48577 | − | 12.9657i | 0.387080 | − | 0.670442i | ||||
\(375\) | 21.8967 | + | 15.6917i | 1.13074 | + | 0.810315i | ||||
\(376\) | −0.432837 | − | 0.749696i | −0.0223219 | − | 0.0386626i | ||||
\(377\) | −5.93088 | + | 8.16316i | −0.305456 | + | 0.420424i | ||||
\(378\) | −0.995352 | + | 2.20033i | −0.0511954 | + | 0.113173i | ||||
\(379\) | 2.26229 | + | 6.96260i | 0.116206 | + | 0.357645i | 0.992197 | − | 0.124683i | \(-0.0397914\pi\) |
−0.875991 | + | 0.482328i | \(0.839791\pi\) | |||||||
\(380\) | 2.81847 | − | 20.3759i | 0.144585 | − | 1.04526i | ||||
\(381\) | 15.7057 | + | 17.4430i | 0.804628 | + | 0.893630i | ||||
\(382\) | −36.1687 | − | 20.8820i | −1.85055 | − | 1.06842i | ||||
\(383\) | 1.43254 | + | 6.73956i | 0.0731993 | + | 0.344375i | 0.999472 | − | 0.0324772i | \(-0.0103396\pi\) |
−0.926273 | + | 0.376853i | \(0.877006\pi\) | |||||||
\(384\) | 6.16098 | − | 4.47622i | 0.314401 | − | 0.228426i | ||||
\(385\) | −8.16502 | − | 12.2040i | −0.416128 | − | 0.621974i | ||||
\(386\) | 3.00137 | + | 2.18062i | 0.152766 | + | 0.110991i | ||||
\(387\) | 6.62668 | − | 14.8838i | 0.336853 | − | 0.756585i | ||||
\(388\) | 8.09249 | − | 0.850555i | 0.410834 | − | 0.0431804i | ||||
\(389\) | 9.15883 | − | 4.07778i | 0.464371 | − | 0.206751i | −0.161195 | − | 0.986923i | \(-0.551535\pi\) |
0.625566 | + | 0.780171i | \(0.284868\pi\) | |||||||
\(390\) | −7.21197 | − | 40.3873i | −0.365192 | − | 2.04509i | ||||
\(391\) | −11.4198 | + | 8.29697i | −0.577524 | + | 0.419596i | ||||
\(392\) | 2.65392 | − | 0.827584i | 0.134043 | − | 0.0417993i | ||||
\(393\) | 43.0164i | 2.16989i | ||||||||
\(394\) | −6.47992 | + | 1.37735i | −0.326454 | + | 0.0693898i | ||||
\(395\) | −9.01203 | − | 10.6928i | −0.453445 | − | 0.538014i | ||||
\(396\) | −12.2340 | − | 2.60042i | −0.614782 | − | 0.130676i | ||||
\(397\) | −8.25028 | − | 7.42859i | −0.414070 | − | 0.372830i | 0.435604 | − | 0.900138i | \(-0.356535\pi\) |
−0.849674 | + | 0.527308i | \(0.823201\pi\) | |||||||
\(398\) | −9.46324 | + | 13.0250i | −0.474349 | + | 0.652886i | ||||
\(399\) | 9.90449 | + | 31.1105i | 0.495845 | + | 1.55747i | ||||
\(400\) | 16.7841 | + | 13.9596i | 0.839203 | + | 0.697978i | ||||
\(401\) | 3.57303 | + | 6.18867i | 0.178429 | + | 0.309048i | 0.941343 | − | 0.337453i | \(-0.109565\pi\) |
−0.762914 | + | 0.646500i | \(0.776232\pi\) | |||||||
\(402\) | 16.3714 | + | 36.7707i | 0.816529 | + | 1.83395i | ||||
\(403\) | 5.12633 | − | 24.1175i | 0.255361 | − | 1.20138i | ||||
\(404\) | −13.7031 | + | 15.2188i | −0.681755 | + | 0.757165i | ||||
\(405\) | 17.6693 | − | 11.9741i | 0.877994 | − | 0.594997i | ||||
\(406\) | −6.58586 | − | 11.5652i | −0.326851 | − | 0.573969i | ||||
\(407\) | − | 20.2507i | − | 1.00379i | ||||||
\(408\) | −0.615942 | − | 2.89778i | −0.0304937 | − | 0.143462i | ||||
\(409\) | 0.409804 | + | 3.89903i | 0.0202635 | + | 0.192795i | 0.999971 | − | 0.00763899i | \(-0.00243159\pi\) |
−0.979707 | + | 0.200434i | \(0.935765\pi\) | |||||||
\(410\) | 8.54671 | + | 21.0221i | 0.422092 | + | 1.03821i | ||||
\(411\) | 0.815683 | − | 7.76071i | 0.0402347 | − | 0.382808i | ||||
\(412\) | 1.61359 | + | 2.22091i | 0.0794957 | + | 0.109416i | ||||
\(413\) | −11.7359 | − | 26.7865i | −0.577488 | − | 1.31808i | ||||
\(414\) | 20.1630 | + | 14.6493i | 0.990956 | + | 0.719972i | ||||
\(415\) | 4.91080 | − | 10.1245i | 0.241062 | − | 0.496990i | ||||
\(416\) | −3.15075 | − | 29.9774i | −0.154478 | − | 1.46976i | ||||
\(417\) | −13.6991 | + | 12.3347i | −0.670849 | + | 0.604035i | ||||
\(418\) | 21.4486 | − | 12.3834i | 1.04909 | − | 0.605690i | ||||
\(419\) | −7.25128 | + | 22.3171i | −0.354248 | + | 1.09026i | 0.602196 | + | 0.798348i | \(0.294293\pi\) |
−0.956444 | + | 0.291915i | \(0.905707\pi\) | |||||||
\(420\) | 24.8197 | + | 6.28762i | 1.21108 | + | 0.306805i | ||||
\(421\) | −10.2298 | − | 31.4841i | −0.498571 | − | 1.53444i | −0.811317 | − | 0.584606i | \(-0.801249\pi\) |
0.312746 | − | 0.949837i | \(-0.398751\pi\) | |||||||
\(422\) | 32.4985 | + | 29.2618i | 1.58200 | + | 1.42444i | ||||
\(423\) | 2.48741 | + | 5.58681i | 0.120942 | + | 0.271640i | ||||
\(424\) | −1.52609 | + | 2.64326i | −0.0741133 | + | 0.128368i | ||||
\(425\) | 13.8836 | − | 6.84638i | 0.673452 | − | 0.332098i | ||||
\(426\) | 66.3235 | 3.21339 | ||||||||
\(427\) | −4.62786 | − | 22.4266i | −0.223958 | − | 1.08530i | ||||
\(428\) | −15.4997 | + | 5.03617i | −0.749208 | + | 0.243432i | ||||
\(429\) | 15.6390 | − | 17.3689i | 0.755060 | − | 0.838579i | ||||
\(430\) | 24.5617 | + | 6.06722i | 1.18447 | + | 0.292587i | ||||
\(431\) | −13.8289 | − | 15.3585i | −0.666113 | − | 0.739793i | 0.311490 | − | 0.950249i | \(-0.399172\pi\) |
−0.977603 | + | 0.210456i | \(0.932505\pi\) | |||||||
\(432\) | 1.77141 | − | 1.02272i | 0.0852269 | − | 0.0492058i | ||||
\(433\) | −25.2950 | − | 8.21886i | −1.21560 | − | 0.394973i | −0.370124 | − | 0.928982i | \(-0.620685\pi\) |
−0.845479 | + | 0.534009i | \(0.820685\pi\) | |||||||
\(434\) | 26.1963 | + | 19.2715i | 1.25746 | + | 0.925063i | ||||
\(435\) | −0.455220 | + | 13.9026i | −0.0218261 | + | 0.666576i | ||||
\(436\) | 0.713746 | − | 6.79084i | 0.0341822 | − | 0.325222i | ||||
\(437\) | −23.2230 | + | 2.44083i | −1.11091 | + | 0.116761i | ||||
\(438\) | −57.4368 | + | 6.03685i | −2.74444 | + | 0.288452i | ||||
\(439\) | −1.23134 | + | 11.7154i | −0.0587687 | + | 0.559147i | 0.925033 | + | 0.379887i | \(0.124037\pi\) |
−0.983802 | + | 0.179260i | \(0.942630\pi\) | |||||||
\(440\) | −0.0721301 | + | 2.20287i | −0.00343867 | + | 0.105018i | ||||
\(441\) | −19.2570 | + | 3.85466i | −0.916998 | + | 0.183555i | ||||
\(442\) | −22.4211 | − | 7.28507i | −1.06646 | − | 0.346515i | ||||
\(443\) | −0.871479 | + | 0.503149i | −0.0414052 | + | 0.0239053i | −0.520560 | − | 0.853825i | \(-0.674277\pi\) |
0.479154 | + | 0.877731i | \(0.340943\pi\) | |||||||
\(444\) | 23.6279 | + | 26.2414i | 1.12133 | + | 1.24536i | ||||
\(445\) | 30.1600 | + | 7.45010i | 1.42972 | + | 0.353168i | ||||
\(446\) | −11.6117 | + | 12.8961i | −0.549831 | + | 0.610649i | ||||
\(447\) | −8.47257 | + | 2.75290i | −0.400739 | + | 0.130208i | ||||
\(448\) | 15.8083 | + | 5.24046i | 0.746873 | + | 0.247589i | ||||
\(449\) | 29.0408 | 1.37052 | 0.685261 | − | 0.728298i | \(-0.259688\pi\) | ||||
0.685261 | + | 0.728298i | \(0.259688\pi\) | |||||||
\(450\) | −19.0714 | − | 19.5779i | −0.899034 | − | 0.922910i | ||||
\(451\) | −6.46400 | + | 11.1960i | −0.304378 | + | 0.527198i | ||||
\(452\) | 9.34965 | + | 20.9996i | 0.439770 | + | 0.987740i | ||||
\(453\) | 3.95222 | + | 3.55860i | 0.185692 | + | 0.167198i | ||||
\(454\) | 7.56804 | + | 23.2920i | 0.355186 | + | 1.09315i | ||||
\(455\) | −16.1240 | + | 16.5716i | −0.755906 | + | 0.776887i | ||||
\(456\) | 1.51442 | − | 4.66090i | 0.0709191 | − | 0.218267i | ||||
\(457\) | 11.1386 | − | 6.43087i | 0.521041 | − | 0.300823i | −0.216319 | − | 0.976323i | \(-0.569405\pi\) |
0.737361 | + | 0.675499i | \(0.236072\pi\) | |||||||
\(458\) | 23.9453 | − | 21.5604i | 1.11889 | − | 1.00745i | ||||
\(459\) | −0.151609 | − | 1.44246i | −0.00707650 | − | 0.0673284i | ||||
\(460\) | −7.99164 | + | 16.4761i | −0.372612 | + | 0.768204i | ||||
\(461\) | −9.56290 | − | 6.94785i | −0.445389 | − | 0.323594i | 0.342384 | − | 0.939560i | \(-0.388766\pi\) |
−0.787772 | + | 0.615966i | \(0.788766\pi\) | |||||||
\(462\) | 12.3712 | + | 28.2364i | 0.575561 | + | 1.31368i | ||||
\(463\) | −20.4731 | − | 28.1788i | −0.951465 | − | 1.30958i | −0.950873 | − | 0.309580i | \(-0.899812\pi\) |
−0.000592125 | − | 1.00000i | \(-0.500188\pi\) | |||||||
\(464\) | −1.17828 | + | 11.2106i | −0.0547004 | + | 0.520439i | ||||
\(465\) | −12.8015 | − | 31.4874i | −0.593654 | − | 1.46019i | ||||
\(466\) | −1.18736 | − | 11.2970i | −0.0550036 | − | 0.523324i | ||||
\(467\) | 4.91443 | + | 23.1206i | 0.227412 | + | 1.06989i | 0.932611 | + | 0.360882i | \(0.117524\pi\) |
−0.705199 | + | 0.709010i | \(0.749142\pi\) | |||||||
\(468\) | 19.6947i | 0.910387i | ||||||||
\(469\) | 11.4586 | − | 19.5774i | 0.529111 | − | 0.904002i | ||||
\(470\) | −7.86152 | + | 5.32757i | −0.362625 | + | 0.245743i | ||||
\(471\) | −38.7762 | + | 43.0654i | −1.78671 | + | 1.98435i | ||||
\(472\) | −0.912678 | + | 4.29381i | −0.0420094 | + | 0.197639i | ||||
\(473\) | 5.86235 | + | 13.1670i | 0.269551 | + | 0.605421i | ||||
\(474\) | 14.6795 | + | 25.4257i | 0.674253 | + | 1.16784i | ||||
\(475\) | 25.5528 | + | 1.67518i | 1.17244 | + | 0.0768626i | ||||
\(476\) | 9.90953 | − | 10.8750i | 0.454203 | − | 0.498456i | ||||
\(477\) | 12.6738 | − | 17.4440i | 0.580294 | − | 0.798706i | ||||
\(478\) | 5.90197 | + | 5.31416i | 0.269950 | + | 0.243064i | ||||
\(479\) | 9.90164 | + | 2.10466i | 0.452418 | + | 0.0961643i | 0.428484 | − | 0.903549i | \(-0.359048\pi\) |
0.0239333 | + | 0.999714i | \(0.492381\pi\) | |||||||
\(480\) | −26.7791 | − | 31.7735i | −1.22229 | − | 1.45026i | ||||
\(481\) | −31.1910 | + | 6.62985i | −1.42219 | + | 0.302295i | ||||
\(482\) | 44.3376i | 2.01952i | ||||||||
\(483\) | 0.172661 | − | 29.0648i | 0.00785636 | − | 1.32249i | ||||
\(484\) | −7.03293 | + | 5.10972i | −0.319678 | + | 0.232260i | ||||
\(485\) | 1.78073 | + | 9.97216i | 0.0808588 | + | 0.452813i | ||||
\(486\) | −38.4361 | + | 17.1129i | −1.74350 | + | 0.776256i | ||||
\(487\) | −11.8899 | + | 1.24968i | −0.538783 | + | 0.0566284i | −0.370012 | − | 0.929027i | \(-0.620646\pi\) |
−0.168771 | + | 0.985655i | \(0.553980\pi\) | |||||||
\(488\) | −1.39806 | + | 3.14009i | −0.0632870 | + | 0.142145i | ||||
\(489\) | 1.88954 | + | 1.37283i | 0.0854480 | + | 0.0620816i | ||||
\(490\) | −11.1494 | − | 28.3858i | −0.503676 | − | 1.28234i | ||||
\(491\) | 0.443578 | − | 0.322278i | 0.0200184 | − | 0.0145442i | −0.577731 | − | 0.816227i | \(-0.696062\pi\) |
0.597749 | + | 0.801683i | \(0.296062\pi\) | |||||||
\(492\) | −4.68688 | − | 22.0501i | −0.211301 | − | 0.994093i | ||||
\(493\) | 6.92226 | + | 3.99657i | 0.311763 | + | 0.179996i | ||||
\(494\) | −26.0954 | − | 28.9819i | −1.17409 | − | 1.30396i | ||||
\(495\) | 2.13345 | − | 15.4236i | 0.0958917 | − | 0.693240i | ||||
\(496\) | −8.51185 | − | 26.1968i | −0.382193 | − | 1.17627i | ||||
\(497\) | −21.7905 | − | 30.3698i | −0.977437 | − | 1.36227i | ||||
\(498\) | −13.8861 | + | 19.1126i | −0.622252 | + | 0.856456i | ||||
\(499\) | −20.0243 | − | 34.6832i | −0.896412 | − | 1.55263i | −0.832047 | − | 0.554705i | \(-0.812831\pi\) |
−0.0643647 | − | 0.997926i | \(-0.520502\pi\) | |||||||
\(500\) | 11.6975 | − | 16.3232i | 0.523130 | − | 0.729994i | ||||
\(501\) | −2.20843 | + | 3.82511i | −0.0986654 | + | 0.170893i | ||||
\(502\) | −5.12715 | − | 0.538885i | −0.228836 | − | 0.0240516i | ||||
\(503\) | −11.8433 | + | 3.84812i | −0.528066 | + | 0.171579i | −0.560903 | − | 0.827882i | \(-0.689546\pi\) |
0.0328365 | + | 0.999461i | \(0.489546\pi\) | |||||||
\(504\) | 2.68586 | + | 1.21499i | 0.119638 | + | 0.0541200i | ||||
\(505\) | −20.1240 | − | 15.6522i | −0.895505 | − | 0.696515i | ||||
\(506\) | −21.5664 | + | 4.58407i | −0.958741 | + | 0.203787i | ||||
\(507\) | −4.74574 | − | 2.73996i | −0.210766 | − | 0.121686i | ||||
\(508\) | 13.0031 | − | 11.7080i | 0.576917 | − | 0.519459i | ||||
\(509\) | 11.7881 | + | 5.24840i | 0.522498 | + | 0.232631i | 0.651000 | − | 0.759078i | \(-0.274350\pi\) |
−0.128501 | + | 0.991709i | \(0.541017\pi\) | |||||||
\(510\) | −31.2210 | + | 9.02601i | −1.38249 | + | 0.399679i | ||||
\(511\) | 21.6351 | + | 24.3171i | 0.957079 | + | 1.07573i | ||||
\(512\) | −17.7546 | − | 24.4372i | −0.784652 | − | 1.07998i | ||||
\(513\) | 0.975901 | − | 2.19191i | 0.0430871 | − | 0.0967752i | ||||
\(514\) | −3.53693 | + | 1.57474i | −0.156007 | + | 0.0694589i | ||||
\(515\) | −2.61319 | + | 2.20243i | −0.115151 | + | 0.0970506i | ||||
\(516\) | −22.9595 | − | 10.2222i | −1.01073 | − | 0.450008i | ||||
\(517\) | −5.14536 | − | 1.67183i | −0.226292 | − | 0.0735269i | ||||
\(518\) | 8.98894 | − | 41.0879i | 0.394951 | − | 1.80530i | ||||
\(519\) | −5.83490 | + | 17.9580i | −0.256124 | + | 0.788267i | ||||
\(520\) | 3.41658 | − | 0.610098i | 0.149827 | − | 0.0267546i | ||||
\(521\) | 38.3716 | + | 8.15613i | 1.68109 | + | 0.357327i | 0.946878 | − | 0.321594i | \(-0.104219\pi\) |
0.734212 | + | 0.678921i | \(0.237552\pi\) | |||||||
\(522\) | 2.93422 | − | 13.8044i | 0.128427 | − | 0.604202i | ||||
\(523\) | 7.66514 | + | 0.805639i | 0.335173 | + | 0.0352281i | 0.270620 | − | 0.962686i | \(-0.412771\pi\) |
0.0645529 | + | 0.997914i | \(0.479438\pi\) | |||||||
\(524\) | 32.0670 | 1.40085 | ||||||||
\(525\) | −5.58487 | + | 31.3813i | −0.243744 | + | 1.36959i | ||||
\(526\) | −57.3437 | −2.50030 | ||||||||
\(527\) | −19.4249 | − | 2.04164i | −0.846161 | − | 0.0889351i | ||||
\(528\) | 5.42866 | − | 25.5398i | 0.236252 | − | 1.11148i | ||||
\(529\) | −2.16393 | − | 0.459958i | −0.0940841 | − | 0.0199982i | ||||
\(530\) | 30.1262 | + | 14.6125i | 1.30860 | + | 0.634728i | ||||
\(531\) | 9.58297 | − | 29.4934i | 0.415866 | − | 1.27990i | ||||
\(532\) | 23.1917 | − | 7.38341i | 1.00549 | − | 0.320112i | ||||
\(533\) | 19.3608 | + | 6.29070i | 0.838608 | + | 0.272480i | ||||
\(534\) | −59.5844 | − | 26.5287i | −2.57847 | − | 1.14801i | ||||
\(535\) | −7.64119 | − | 18.7948i | −0.330358 | − | 0.812572i | ||||
\(536\) | −3.11062 | + | 1.38494i | −0.134359 | + | 0.0598203i | ||||
\(537\) | 10.4744 | − | 23.5259i | 0.452003 | − | 1.01522i | ||||
\(538\) | 27.3893 | + | 37.6981i | 1.18083 | + | 1.62528i | ||||
\(539\) | 8.86503 | − | 14.9419i | 0.381844 | − | 0.643591i | ||||
\(540\) | −1.05556 | − | 1.55762i | −0.0454241 | − | 0.0670292i | ||||
\(541\) | 17.4699 | + | 7.77812i | 0.751091 | + | 0.334407i | 0.746325 | − | 0.665581i | \(-0.231816\pi\) |
0.00476580 | + | 0.999989i | \(0.498483\pi\) | |||||||
\(542\) | −17.4750 | + | 15.7346i | −0.750616 | + | 0.675858i | ||||
\(543\) | −12.7932 | − | 7.38617i | −0.549009 | − | 0.316971i | ||||
\(544\) | −23.3561 | + | 4.96449i | −1.00138 | + | 0.212851i | ||||
\(545\) | 8.49599 | + | 0.278190i | 0.363928 | + | 0.0119163i | ||||
\(546\) | 39.4408 | − | 28.2990i | 1.68791 | − | 1.21108i | ||||
\(547\) | −17.8957 | + | 5.81466i | −0.765164 | + | 0.248617i | −0.665494 | − | 0.746404i | \(-0.731779\pi\) |
−0.0996705 | + | 0.995020i | \(0.531779\pi\) | |||||||
\(548\) | −5.78531 | − | 0.608060i | −0.247136 | − | 0.0259751i | ||||
\(549\) | 12.1412 | − | 21.0291i | 0.518173 | − | 0.897501i | ||||
\(550\) | 24.1604 | − | 0.948924i | 1.03020 | − | 0.0404623i | ||||
\(551\) | 6.61134 | + | 11.4512i | 0.281653 | + | 0.487837i | ||||
\(552\) | −2.56440 | + | 3.52959i | −0.109148 | + | 0.150229i | ||||
\(553\) | 6.81959 | − | 15.0754i | 0.289998 | − | 0.641071i | ||||
\(554\) | −11.2372 | − | 34.5846i | −0.477424 | − | 1.46936i | ||||
\(555\) | −30.4679 | + | 31.6881i | −1.29329 | + | 1.34508i | ||||
\(556\) | 9.19508 | + | 10.2122i | 0.389958 | + | 0.433092i | ||||
\(557\) | 2.99630 | + | 1.72991i | 0.126957 | + | 0.0732988i | 0.562134 | − | 0.827046i | \(-0.309981\pi\) |
−0.435176 | + | 0.900345i | \(0.643314\pi\) | |||||||
\(558\) | 7.17000 | + | 33.7322i | 0.303530 | + | 1.42800i | ||||
\(559\) | 18.3612 | − | 13.3402i | 0.776596 | − | 0.564230i | ||||
\(560\) | −6.34325 | + | 25.0393i | −0.268051 | + | 1.05810i | ||||
\(561\) | −14.9787 | − | 10.8826i | −0.632400 | − | 0.459466i | ||||
\(562\) | −5.31600 | + | 11.9399i | −0.224242 | + | 0.503656i | ||||
\(563\) | −31.8022 | + | 3.34255i | −1.34030 | + | 0.140872i | −0.747385 | − | 0.664391i | \(-0.768691\pi\) |
−0.592918 | + | 0.805263i | \(0.702024\pi\) | |||||||
\(564\) | 8.61813 | − | 3.83704i | 0.362889 | − | 0.161568i | ||||
\(565\) | −25.2378 | + | 13.4896i | −1.06176 | + | 0.567513i | ||||
\(566\) | −14.0545 | + | 10.2112i | −0.590753 | + | 0.429207i | ||||
\(567\) | 21.7961 | + | 12.7572i | 0.915349 | + | 0.535752i | ||||
\(568\) | 5.61066i | 0.235418i | ||||||||
\(569\) | 0.855097 | − | 0.181756i | 0.0358475 | − | 0.00761963i | −0.189953 | − | 0.981793i | \(-0.560834\pi\) |
0.225801 | + | 0.974174i | \(0.427500\pi\) | |||||||
\(570\) | −52.1938 | − | 12.8929i | −2.18616 | − | 0.540023i | ||||
\(571\) | 7.16292 | + | 1.52253i | 0.299759 | + | 0.0637158i | 0.355336 | − | 0.934739i | \(-0.384366\pi\) |
−0.0555769 | + | 0.998454i | \(0.517700\pi\) | |||||||
\(572\) | −12.9479 | − | 11.6583i | −0.541377 | − | 0.487458i | ||||
\(573\) | −30.3578 | + | 41.7839i | −1.26822 | + | 1.74555i | ||||
\(574\) | −18.0849 | + | 19.8470i | −0.754850 | + | 0.828396i | ||||
\(575\) | −21.1737 | − | 8.44781i | −0.883006 | − | 0.352298i | ||||
\(576\) | 8.83015 | + | 15.2943i | 0.367923 | + | 0.637261i | ||||
\(577\) | −9.30611 | − | 20.9019i | −0.387418 | − | 0.870156i | −0.996998 | − | 0.0774306i | \(-0.975328\pi\) |
0.609580 | − | 0.792725i | \(-0.291338\pi\) | |||||||
\(578\) | 3.00372 | − | 14.1314i | 0.124938 | − | 0.587788i | ||||
\(579\) | 3.06988 | − | 3.40945i | 0.127580 | − | 0.141692i | ||||
\(580\) | 10.3638 | + | 0.339349i | 0.430334 | + | 0.0140907i | ||||
\(581\) | 13.3140 | + | 0.0790927i | 0.552357 | + | 0.00328132i | ||||
\(582\) | − | 21.2675i | − | 0.881564i | ||||||
\(583\) | 3.96591 | + | 18.6581i | 0.164251 | + | 0.772741i | ||||
\(584\) | −0.510689 | − | 4.85888i | −0.0211325 | − | 0.201062i | ||||
\(585\) | −24.4546 | + | 1.76348i | −1.01107 | + | 0.0729109i | ||||
\(586\) | 4.31003 | − | 41.0072i | 0.178046 | − | 1.69399i | ||||
\(587\) | 15.5422 | + | 21.3920i | 0.641496 | + | 0.882943i | 0.998694 | − | 0.0510854i | \(-0.0162681\pi\) |
−0.357199 | + | 0.934028i | \(0.616268\pi\) | |||||||
\(588\) | 5.94614 | + | 29.7055i | 0.245214 | + | 1.22503i | ||||
\(589\) | −26.1399 | − | 18.9918i | −1.07708 | − | 0.782542i | ||||
\(590\) | 47.7023 | + | 6.59837i | 1.96387 | + | 0.271651i | ||||
\(591\) | 0.856346 | + | 8.14759i | 0.0352254 | + | 0.335147i | ||||
\(592\) | −26.4736 | + | 23.8369i | −1.08806 | + | 0.979691i | ||||
\(593\) | 7.97900 | − | 4.60668i | 0.327658 | − | 0.189174i | −0.327143 | − | 0.944975i | \(-0.606086\pi\) |
0.654801 | + | 0.755801i | \(0.272752\pi\) | |||||||
\(594\) | 0.700074 | − | 2.15461i | 0.0287244 | − | 0.0884045i | ||||
\(595\) | 14.3907 | + | 11.3308i | 0.589960 | + | 0.464516i | ||||
\(596\) | 2.05218 | + | 6.31597i | 0.0840607 | + | 0.258712i | ||||
\(597\) | 14.7960 | + | 13.3224i | 0.605560 | + | 0.545248i | ||||
\(598\) | 14.1212 | + | 31.7167i | 0.577457 | + | 1.29699i | ||||
\(599\) | −6.03999 | + | 10.4616i | −0.246787 | + | 0.427448i | −0.962633 | − | 0.270811i | \(-0.912708\pi\) |
0.715845 | + | 0.698259i | \(0.246042\pi\) | |||||||
\(600\) | 3.42717 | − | 3.33851i | 0.139914 | − | 0.136294i | ||||
\(601\) | −18.7934 | −0.766597 | −0.383299 | − | 0.923624i | \(-0.625212\pi\) | ||||
−0.383299 | + | 0.923624i | \(0.625212\pi\) | |||||||
\(602\) | 6.04985 | + | 29.3176i | 0.246574 | + | 1.19490i | ||||
\(603\) | 22.8772 | − | 7.43326i | 0.931632 | − | 0.302706i | ||||
\(604\) | 2.65280 | − | 2.94623i | 0.107941 | − | 0.119880i | ||||
\(605\) | −6.97440 | − | 8.27515i | −0.283549 | − | 0.336433i | ||||
\(606\) | 35.8151 | + | 39.7767i | 1.45489 | + | 1.61582i | ||||
\(607\) | −3.61582 | + | 2.08760i | −0.146762 | + | 0.0847329i | −0.571583 | − | 0.820544i | \(-0.693670\pi\) |
0.424821 | + | 0.905277i | \(0.360337\pi\) | |||||||
\(608\) | −37.5668 | − | 12.2062i | −1.52354 | − | 0.495027i | ||||
\(609\) | −15.0751 | + | 6.60485i | −0.610875 | + | 0.267642i | ||||
\(610\) | 35.4614 | + | 12.8196i | 1.43579 | + | 0.519052i | ||||
\(611\) | −0.890489 | + | 8.47244i | −0.0360253 | + | 0.342758i | ||||
\(612\) | 15.5160 | − | 1.63080i | 0.627197 | − | 0.0659211i | ||||
\(613\) | 22.1605 | − | 2.32916i | 0.895054 | − | 0.0940740i | 0.354180 | − | 0.935177i | \(-0.384760\pi\) |
0.540874 | + | 0.841103i | \(0.318093\pi\) | |||||||
\(614\) | 4.15645 | − | 39.5460i | 0.167741 | − | 1.59595i | ||||
\(615\) | 26.9595 | − | 7.79401i | 1.08711 | − | 0.314285i | ||||
\(616\) | −2.38867 | + | 1.04655i | −0.0962422 | + | 0.0421665i | ||||
\(617\) | 25.9217 | + | 8.42248i | 1.04357 | + | 0.339076i | 0.780142 | − | 0.625603i | \(-0.215147\pi\) |
0.263428 | + | 0.964679i | \(0.415147\pi\) | |||||||
\(618\) | 6.21373 | − | 3.58750i | 0.249953 | − | 0.144310i | ||||
\(619\) | −12.7084 | − | 14.1141i | −0.510792 | − | 0.567292i | 0.431488 | − | 0.902119i | \(-0.357989\pi\) |
−0.942280 | + | 0.334827i | \(0.891322\pi\) | |||||||
\(620\) | −23.4726 | + | 9.54299i | −0.942684 | + | 0.383256i | ||||
\(621\) | −1.42925 | + | 1.58734i | −0.0573537 | + | 0.0636977i | ||||
\(622\) | 5.32621 | − | 1.73059i | 0.213562 | − | 0.0693904i | ||||
\(623\) | 7.42877 | + | 35.9999i | 0.297627 | + | 1.44230i | ||||
\(624\) | −41.1148 | −1.64591 | ||||||||
\(625\) | 21.3156 | + | 13.0631i | 0.852625 | + | 0.522523i | ||||
\(626\) | 3.98421 | − | 6.90086i | 0.159241 | − | 0.275814i | ||||
\(627\) | −12.4575 | − | 27.9800i | −0.497505 | − | 1.11742i | ||||
\(628\) | 32.1036 | + | 28.9062i | 1.28107 | + | 1.15348i | ||||
\(629\) | 7.80592 | + | 24.0242i | 0.311242 | + | 0.957906i | ||||
\(630\) | 11.1750 | − | 30.3469i | 0.445222 | − | 1.20905i | ||||
\(631\) | −10.1285 | + | 31.1724i | −0.403210 | + | 1.24095i | 0.519170 | + | 0.854671i | \(0.326241\pi\) |
−0.922380 | + | 0.386283i | \(0.873759\pi\) | |||||||
\(632\) | −2.15089 | + | 1.24182i | −0.0855580 | + | 0.0493969i | ||||
\(633\) | 40.1895 | − | 36.1868i | 1.59739 | − | 1.43830i | ||||
\(634\) | 0.697640 | + | 6.63760i | 0.0277068 | + | 0.263613i | ||||
\(635\) | 15.7020 | + | 15.0974i | 0.623113 | + | 0.599120i | ||||
\(636\) | −26.9088 | − | 19.5504i | −1.06700 | − | 0.775224i | ||||
\(637\) | −25.9164 | − | 8.76251i | −1.02685 | − | 0.347183i | ||||
\(638\) | 7.33850 | + | 10.1006i | 0.290534 | + | 0.399886i | ||||
\(639\) | 4.14312 | − | 39.4192i | 0.163899 | − | 1.55940i | ||||
\(640\) | 5.40399 | − | 4.55455i | 0.213612 | − | 0.180034i | ||||
\(641\) | −4.10837 | − | 39.0885i | −0.162271 | − | 1.54390i | −0.708163 | − | 0.706049i | \(-0.750476\pi\) |
0.545892 | − | 0.837855i | \(-0.316191\pi\) | |||||||
\(642\) | 8.85614 | + | 41.6649i | 0.349524 | + | 1.64438i | ||||
\(643\) | − | 28.8706i | − | 1.13854i | −0.822149 | − | 0.569272i | \(-0.807225\pi\) | ||
0.822149 | − | 0.569272i | \(-0.192775\pi\) | |||||||
\(644\) | −21.6667 | − | 0.128712i | −0.853786 | − | 0.00507198i | ||||
\(645\) | 10.6370 | − | 29.4237i | 0.418830 | − | 1.15856i | ||||
\(646\) | −20.6719 | + | 22.9585i | −0.813327 | + | 0.903291i | ||||
\(647\) | −1.08427 | + | 5.10109i | −0.0426271 | + | 0.200545i | −0.994308 | − | 0.106544i | \(-0.966021\pi\) |
0.951681 | + | 0.307089i | \(0.0993548\pi\) | |||||||
\(648\) | −1.54189 | − | 3.46314i | −0.0605711 | − | 0.136045i | ||||
\(649\) | 13.7171 | + | 23.7588i | 0.538444 | + | 0.932613i | ||||
\(650\) | −9.37142 | − | 36.9022i | −0.367577 | − | 1.44742i | ||||
\(651\) | 27.0880 | − | 29.7272i | 1.06166 | − | 1.16510i | ||||
\(652\) | 1.02339 | − | 1.40858i | 0.0400792 | − | 0.0551643i | ||||
\(653\) | 17.1943 | + | 15.4818i | 0.672864 | + | 0.605849i | 0.933066 | − | 0.359705i | \(-0.117123\pi\) |
−0.260202 | + | 0.965554i | \(0.583789\pi\) | |||||||
\(654\) | −17.4567 | − | 3.71053i | −0.682609 | − | 0.145093i | ||||
\(655\) | 2.87131 | + | 39.8171i | 0.112191 | + | 1.55578i | ||||
\(656\) | 22.2451 | − | 4.72835i | 0.868527 | − | 0.184611i | ||||
\(657\) | 34.5145i | 1.34654i | ||||||||
\(658\) | −9.69763 | − | 5.67601i | −0.378053 | − | 0.221274i | ||||
\(659\) | 2.56376 | − | 1.86268i | 0.0998698 | − | 0.0725596i | −0.536730 | − | 0.843754i | \(-0.680340\pi\) |
0.636599 | + | 0.771195i | \(0.280340\pi\) | |||||||
\(660\) | −23.7922 | − | 3.29103i | −0.926111 | − | 0.128103i | ||||
\(661\) | 7.09726 | − | 3.15991i | 0.276052 | − | 0.122906i | −0.264042 | − | 0.964511i | \(-0.585056\pi\) |
0.540093 | + | 0.841605i | \(0.318389\pi\) | |||||||
\(662\) | 52.1817 | − | 5.48452i | 2.02810 | − | 0.213162i | ||||
\(663\) | −11.8581 | + | 26.6337i | −0.460529 | + | 1.03437i | ||||
\(664\) | −1.61684 | − | 1.17470i | −0.0627454 | − | 0.0455872i | ||||
\(665\) | 11.2445 | + | 28.1357i | 0.436042 | + | 1.09105i | ||||
\(666\) | 36.0824 | − | 26.2154i | 1.39816 | − | 1.01583i | ||||
\(667\) | −2.44738 | − | 11.5140i | −0.0947631 | − | 0.445825i | ||||
\(668\) | 2.85147 | + | 1.64630i | 0.110327 | + | 0.0636972i | ||||
\(669\) | 14.3597 | + | 15.9481i | 0.555179 | + | 0.616588i | ||||
\(670\) | 17.6082 | + | 32.9432i | 0.680264 | + | 1.27271i | ||||
\(671\) | 6.63817 | + | 20.4302i | 0.256264 | + | 0.788699i | ||||
\(672\) | 20.2643 | − | 44.7963i | 0.781712 | − | 1.72805i | ||||
\(673\) | −1.93901 | + | 2.66881i | −0.0747432 | + | 0.102875i | −0.844752 | − | 0.535158i | \(-0.820252\pi\) |
0.770009 | + | 0.638034i | \(0.220252\pi\) | |||||||
\(674\) | −25.4049 | − | 44.0027i | −0.978562 | − | 1.69492i | ||||
\(675\) | 1.83955 | − | 1.45015i | 0.0708045 | − | 0.0558161i | ||||
\(676\) | −2.04253 | + | 3.53777i | −0.0785589 | + | 0.136068i | ||||
\(677\) | −16.2618 | − | 1.70919i | −0.624993 | − | 0.0656894i | −0.213262 | − | 0.976995i | \(-0.568409\pi\) |
−0.411730 | + | 0.911306i | \(0.635075\pi\) | |||||||
\(678\) | 57.1394 | − | 18.5657i | 2.19443 | − | 0.713012i | ||||
\(679\) | −9.73845 | + | 6.98739i | −0.373727 | + | 0.268151i | ||||
\(680\) | −0.763558 | − | 2.64115i | −0.0292811 | − | 0.101284i | ||||
\(681\) | 29.6248 | − | 6.29694i | 1.13522 | − | 0.241299i | ||||
\(682\) | −26.4208 | − | 15.2541i | −1.01170 | − | 0.584108i | ||||
\(683\) | −29.0960 | + | 26.1981i | −1.11333 | + | 1.00244i | −0.113366 | + | 0.993553i | \(0.536163\pi\) |
−0.999960 | + | 0.00889049i | \(0.997170\pi\) | |||||||
\(684\) | 23.5775 | + | 10.4974i | 0.901509 | + | 0.401378i | ||||
\(685\) | 0.236998 | − | 7.23797i | 0.00905522 | − | 0.276549i | ||||
\(686\) | 24.6192 | − | 26.3814i | 0.939967 | − | 1.00725i | ||||
\(687\) | −23.4215 | − | 32.2369i | −0.893585 | − | 1.22991i | ||||
\(688\) | 10.3127 | − | 23.1626i | 0.393166 | − | 0.883066i | ||||
\(689\) | 27.4397 | − | 12.2169i | 1.04537 | − | 0.465428i | ||||
\(690\) | 40.6437 | + | 25.2742i | 1.54728 | + | 0.962174i | ||||
\(691\) | 32.7326 | + | 14.5735i | 1.24521 | + | 0.554402i | 0.920252 | − | 0.391327i | \(-0.127984\pi\) |
0.324956 | + | 0.945729i | \(0.394650\pi\) | |||||||
\(692\) | 13.3870 | + | 4.34969i | 0.508896 | + | 0.165350i | ||||
\(693\) | 17.5550 | − | 5.58890i | 0.666861 | − | 0.212305i | ||||
\(694\) | 14.6550 | − | 45.1033i | 0.556295 | − | 1.71210i | ||||
\(695\) | −11.8570 | + | 12.3318i | −0.449760 | + | 0.467772i | ||||
\(696\) | 2.41651 | + | 0.513644i | 0.0915974 | + | 0.0194696i | ||||
\(697\) | 3.35283 | − | 15.7738i | 0.126998 | − | 0.597477i | ||||
\(698\) | −55.3998 | − | 5.82275i | −2.09691 | − | 0.220394i | ||||
\(699\) | −14.0475 | −0.531325 | ||||||||
\(700\) | 23.3935 | + | 4.16330i | 0.884192 | + | 0.157358i | ||||
\(701\) | 4.06365 | 0.153482 | 0.0767409 | − | 0.997051i | \(-0.475549\pi\) | ||||
0.0767409 | + | 0.997051i | \(0.475549\pi\) | |||||||
\(702\) | −3.54781 | − | 0.372890i | −0.133904 | − | 0.0140738i | ||||
\(703\) | −8.68806 | + | 40.8741i | −0.327677 | + | 1.54160i | ||||
\(704\) | −15.2819 | − | 3.24827i | −0.575959 | − | 0.122424i | ||||
\(705\) | 5.53607 | + | 10.3574i | 0.208500 | + | 0.390083i | ||||
\(706\) | 1.05040 | − | 3.23279i | 0.0395322 | − | 0.121668i | ||||
\(707\) | 6.44692 | − | 29.4685i | 0.242461 | − | 1.10828i | ||||
\(708\) | −45.4960 | − | 14.7825i | −1.70984 | − | 0.555562i | ||||
\(709\) | 27.1377 | + | 12.0825i | 1.01918 | + | 0.453767i | 0.847166 | − | 0.531328i | \(-0.178307\pi\) |
0.172011 | + | 0.985095i | \(0.444974\pi\) | |||||||
\(710\) | 61.3909 | − | 4.42705i | 2.30396 | − | 0.166144i | ||||
\(711\) | 16.0287 | − | 7.13643i | 0.601123 | − | 0.267637i | ||||
\(712\) | 2.24420 | − | 5.04056i | 0.0841050 | − | 0.188903i | ||||
\(713\) | 16.9071 | + | 23.2706i | 0.633175 | + | 0.871491i | ||||
\(714\) | −25.5605 | − | 28.7293i | −0.956579 | − | 1.07517i | ||||
\(715\) | 13.3166 | − | 17.1210i | 0.498011 | − | 0.640291i | ||||
\(716\) | −17.5376 | − | 7.80825i | −0.655412 | − | 0.291808i | ||||
\(717\) | 7.29872 | − | 6.57179i | 0.272576 | − | 0.245428i | ||||
\(718\) | −18.3643 | − | 10.6026i | −0.685350 | − | 0.395687i | ||||
\(719\) | −12.2332 | + | 2.60025i | −0.456222 | + | 0.0969730i | −0.430290 | − | 0.902691i | \(-0.641589\pi\) |
−0.0259321 | + | 0.999664i | \(0.508255\pi\) | |||||||
\(720\) | −22.6744 | + | 15.3659i | −0.845026 | + | 0.572655i | ||||
\(721\) | −3.68424 | − | 1.66662i | −0.137208 | − | 0.0620683i | ||||
\(722\) | −13.3975 | + | 4.35310i | −0.498603 | + | 0.162006i | ||||
\(723\) | 54.5301 | + | 5.73135i | 2.02800 | + | 0.213151i | ||||
\(724\) | −5.50610 | + | 9.53685i | −0.204633 | + | 0.354434i | ||||
\(725\) | 0.506620 | + | 12.8990i | 0.0188154 | + | 0.479056i | ||||
\(726\) | 11.3605 | + | 19.6769i | 0.421626 | + | 0.730278i | ||||
\(727\) | 21.7358 | − | 29.9167i | 0.806135 | − | 1.10955i | −0.185773 | − | 0.982593i | \(-0.559479\pi\) |
0.991908 | − | 0.126957i | \(-0.0405211\pi\) | |||||||
\(728\) | 2.39396 | + | 3.33650i | 0.0887260 | + | 0.123659i | ||||
\(729\) | 7.22919 | + | 22.2491i | 0.267748 | + | 0.824043i | ||||
\(730\) | −52.7621 | + | 9.42174i | −1.95281 | + | 0.348714i | ||||
\(731\) | −12.0301 | − | 13.3608i | −0.444951 | − | 0.494168i | ||||
\(732\) | −32.4392 | − | 18.7288i | −1.19899 | − | 0.692236i | ||||
\(733\) | −6.77300 | − | 31.8644i | −0.250166 | − | 1.17694i | −0.906413 | − | 0.422393i | \(-0.861190\pi\) |
0.656246 | − | 0.754547i | \(-0.272143\pi\) | |||||||
\(734\) | −19.6428 | + | 14.2713i | −0.725030 | + | 0.526765i | ||||
\(735\) | −36.3524 | + | 10.0431i | −1.34088 | + | 0.370445i | ||||
\(736\) | 28.4485 | + | 20.6690i | 1.04863 | + | 0.761871i | ||||
\(737\) | −8.65537 | + | 19.4403i | −0.318825 | + | 0.716092i | ||||
\(738\) | −28.3167 | + | 2.97621i | −1.04235 | + | 0.109556i | ||||
\(739\) | −22.7306 | + | 10.1203i | −0.836157 | + | 0.372281i | −0.779723 | − | 0.626125i | \(-0.784640\pi\) |
−0.0564346 | + | 0.998406i | \(0.517973\pi\) | |||||||
\(740\) | 23.6222 | + | 22.7126i | 0.868370 | + | 0.834933i | ||||
\(741\) | −39.0176 | + | 28.3480i | −1.43335 | + | 1.04139i | ||||
\(742\) | −0.235348 | + | 39.6170i | −0.00863988 | + | 1.45439i | ||||
\(743\) | − | 37.2111i | − | 1.36514i | −0.730819 | − | 0.682572i | \(-0.760862\pi\) | ||
0.730819 | − | 0.682572i | \(-0.239138\pi\) | |||||||
\(744\) | −5.90493 | + | 1.25513i | −0.216485 | + | 0.0460153i | ||||
\(745\) | −7.65869 | + | 3.11370i | −0.280593 | + | 0.114077i | ||||
\(746\) | −24.8136 | − | 5.27429i | −0.908489 | − | 0.193105i | ||||
\(747\) | 10.4921 | + | 9.44710i | 0.383885 | + | 0.345651i | ||||
\(748\) | −8.11259 | + | 11.1660i | −0.296626 | + | 0.408270i | ||||
\(749\) | 16.1688 | − | 17.7442i | 0.590796 | − | 0.648358i | ||||
\(750\) | −39.2336 | − | 34.8653i | −1.43261 | − | 1.27310i | ||||
\(751\) | −2.82557 | − | 4.89402i | −0.103106 | − | 0.178585i | 0.809857 | − | 0.586628i | \(-0.199545\pi\) |
−0.912963 | + | 0.408042i | \(0.866212\pi\) | |||||||
\(752\) | 3.87098 | + | 8.69437i | 0.141160 | + | 0.317051i | ||||
\(753\) | −1.32553 | + | 6.23613i | −0.0483050 | + | 0.227257i | ||||
\(754\) | 13.1548 | − | 14.6099i | 0.479070 | − | 0.532061i | ||||
\(755\) | 3.89582 | + | 3.03013i | 0.141783 | + | 0.110278i | ||||
\(756\) | 1.12460 | − | 1.92141i | 0.0409012 | − | 0.0698810i | ||||
\(757\) | 38.6504i | 1.40477i | 0.711796 | + | 0.702386i | \(0.247882\pi\) | ||||
−0.711796 | + | 0.702386i | \(0.752118\pi\) | |||||||
\(758\) | −2.96563 | − | 13.9522i | −0.107716 | − | 0.506766i | ||||
\(759\) | 2.85008 | + | 27.1167i | 0.103451 | + | 0.984272i | ||||
\(760\) | 1.09068 | − | 4.41535i | 0.0395630 | − | 0.160161i | ||||
\(761\) | 0.140549 | − | 1.33724i | 0.00509490 | − | 0.0484748i | −0.991679 | − | 0.128735i | \(-0.958908\pi\) |
0.996774 | + | 0.0802600i | \(0.0255751\pi\) | |||||||
\(762\) | −26.8806 | − | 36.9979i | −0.973780 | − | 1.34029i | ||||
\(763\) | 4.03629 | + | 9.21256i | 0.146124 | + | 0.333517i | ||||
\(764\) | 31.1483 | + | 22.6306i | 1.12691 | + | 0.818745i | ||||
\(765\) | 3.41425 | + | 19.1200i | 0.123443 | + | 0.691284i | ||||
\(766\) | −1.40325 | − | 13.3510i | −0.0507014 | − | 0.482392i | ||||
\(767\) | 32.1034 | − | 28.9061i | 1.15919 | − |