Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [224,2,Mod(37,224)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(224, base_ring=CyclotomicField(24))
chi = DirichletCharacter(H, H._module([0, 3, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("224.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 224 = 2^{5} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 224.bd (of order \(24\), 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: | \(1.78864900528\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{24})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{24}]$ |
Embedding invariants
Embedding label | 37.12 | ||
Character | \(\chi\) | \(=\) | 224.37 |
Dual form | 224.2.bd.a.109.12 |
$q$-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 \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(129\) | \(197\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{8}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.460775 | + | 1.33704i | −0.325817 | + | 0.945433i | ||||
\(3\) | 1.47397 | − | 1.92092i | 0.850999 | − | 1.10904i | −0.141876 | − | 0.989884i | \(-0.545313\pi\) |
0.992875 | − | 0.119159i | \(-0.0380199\pi\) | |||||||
\(4\) | −1.57537 | − | 1.23215i | −0.787687 | − | 0.616076i | ||||
\(5\) | 0.169674 | − | 0.130196i | 0.0758806 | − | 0.0582252i | −0.570125 | − | 0.821558i | \(-0.693105\pi\) |
0.646005 | + | 0.763333i | \(0.276438\pi\) | |||||||
\(6\) | 1.88918 | + | 2.85588i | 0.771256 | + | 1.16591i | ||||
\(7\) | −0.114544 | − | 2.64327i | −0.0432935 | − | 0.999062i | ||||
\(8\) | 2.37333 | − | 1.53860i | 0.839100 | − | 0.543977i | ||||
\(9\) | −0.740878 | − | 2.76499i | −0.246959 | − | 0.921664i | ||||
\(10\) | 0.0958956 | + | 0.286853i | 0.0303249 | + | 0.0907108i | ||||
\(11\) | −5.24840 | + | 0.690965i | −1.58245 | + | 0.208334i | −0.869880 | − | 0.493264i | \(-0.835804\pi\) |
−0.712573 | + | 0.701598i | \(0.752470\pi\) | |||||||
\(12\) | −4.68892 | + | 1.21001i | −1.35358 | + | 0.349299i | ||||
\(13\) | 5.88866 | − | 2.43916i | 1.63322 | − | 0.676502i | 0.637632 | − | 0.770341i | \(-0.279914\pi\) |
0.995587 | + | 0.0938394i | \(0.0299140\pi\) | |||||||
\(14\) | 3.58695 | + | 1.06480i | 0.958652 | + | 0.284580i | ||||
\(15\) | − | 0.517835i | − | 0.133704i | ||||||
\(16\) | 0.963602 | + | 3.88220i | 0.240901 | + | 0.970550i | ||||
\(17\) | 1.68132 | − | 0.970709i | 0.407779 | − | 0.235432i | −0.282056 | − | 0.959398i | \(-0.591016\pi\) |
0.689835 | + | 0.723966i | \(0.257683\pi\) | |||||||
\(18\) | 4.03829 | + | 0.283453i | 0.951835 | + | 0.0668105i | ||||
\(19\) | 0.124643 | − | 0.946756i | 0.0285950 | − | 0.217201i | −0.971181 | − | 0.238341i | \(-0.923396\pi\) |
0.999777 | + | 0.0211404i | \(0.00672969\pi\) | |||||||
\(20\) | −0.427721 | − | 0.00395777i | −0.0956413 | − | 0.000884985i | ||||
\(21\) | −5.24635 | − | 3.67608i | −1.14485 | − | 0.802187i | ||||
\(22\) | 1.49448 | − | 7.33573i | 0.318624 | − | 1.56398i | ||||
\(23\) | −0.264726 | − | 0.987973i | −0.0551993 | − | 0.206007i | 0.932819 | − | 0.360347i | \(-0.117342\pi\) |
−0.988018 | + | 0.154340i | \(0.950675\pi\) | |||||||
\(24\) | 0.542707 | − | 6.82684i | 0.110780 | − | 1.39352i | ||||
\(25\) | −1.28226 | + | 4.78545i | −0.256451 | + | 0.957089i | ||||
\(26\) | 0.547922 | + | 8.99730i | 0.107456 | + | 1.76452i | ||||
\(27\) | 0.307512 | + | 0.127376i | 0.0591807 | + | 0.0245134i | ||||
\(28\) | −3.07646 | + | 4.30527i | −0.581397 | + | 0.813620i | ||||
\(29\) | 2.48593 | + | 6.00156i | 0.461625 | + | 1.11446i | 0.967730 | + | 0.251990i | \(0.0810850\pi\) |
−0.506104 | + | 0.862472i | \(0.668915\pi\) | |||||||
\(30\) | 0.692369 | + | 0.238605i | 0.126409 | + | 0.0435632i | ||||
\(31\) | 2.26564 | + | 3.92421i | 0.406921 | + | 0.704809i | 0.994543 | − | 0.104327i | \(-0.0332689\pi\) |
−0.587622 | + | 0.809136i | \(0.699936\pi\) | |||||||
\(32\) | −5.63467 | − | 0.500441i | −0.996079 | − | 0.0884663i | ||||
\(33\) | −6.40872 | + | 11.1002i | −1.11561 | + | 1.93230i | ||||
\(34\) | 0.523172 | + | 2.69527i | 0.0897233 | + | 0.462236i | ||||
\(35\) | −0.363577 | − | 0.433582i | −0.0614558 | − | 0.0732887i | ||||
\(36\) | −2.23973 | + | 5.26877i | −0.373289 | + | 0.878128i | ||||
\(37\) | 6.98279 | − | 5.35808i | 1.14796 | − | 0.880863i | 0.153731 | − | 0.988113i | \(-0.450871\pi\) |
0.994232 | + | 0.107249i | \(0.0342043\pi\) | |||||||
\(38\) | 1.20842 | + | 0.602894i | 0.196032 | + | 0.0978024i | ||||
\(39\) | 3.99429 | − | 14.9069i | 0.639598 | − | 2.38701i | ||||
\(40\) | 0.202375 | − | 0.570058i | 0.0319982 | − | 0.0901341i | ||||
\(41\) | −8.40410 | + | 8.40410i | −1.31250 | + | 1.31250i | −0.392933 | + | 0.919567i | \(0.628539\pi\) |
−0.919567 | + | 0.392933i | \(0.871461\pi\) | |||||||
\(42\) | 7.33247 | − | 5.32075i | 1.13142 | − | 0.821009i | ||||
\(43\) | −0.546909 | + | 1.32035i | −0.0834028 | + | 0.201352i | −0.960079 | − | 0.279728i | \(-0.909756\pi\) |
0.876676 | + | 0.481081i | \(0.159756\pi\) | |||||||
\(44\) | 9.11957 | + | 5.37830i | 1.37483 | + | 0.810810i | ||||
\(45\) | −0.485698 | − | 0.372689i | −0.0724035 | − | 0.0555572i | ||||
\(46\) | 1.44294 | + | 0.101282i | 0.212750 | + | 0.0149332i | ||||
\(47\) | −1.36538 | − | 0.788302i | −0.199161 | − | 0.114986i | 0.397103 | − | 0.917774i | \(-0.370016\pi\) |
−0.596264 | + | 0.802788i | \(0.703349\pi\) | |||||||
\(48\) | 8.87772 | + | 3.87126i | 1.28139 | + | 0.558768i | ||||
\(49\) | −6.97376 | + | 0.605540i | −0.996251 | + | 0.0865057i | ||||
\(50\) | −5.80752 | − | 3.91945i | −0.821308 | − | 0.554294i | ||||
\(51\) | 0.613563 | − | 4.66048i | 0.0859161 | − | 0.652597i | ||||
\(52\) | −12.2823 | − | 3.41313i | −1.70324 | − | 0.473316i | ||||
\(53\) | 1.71102 | − | 0.225260i | 0.235027 | − | 0.0309419i | −0.0120925 | − | 0.999927i | \(-0.503849\pi\) |
0.247120 | + | 0.968985i | \(0.420516\pi\) | |||||||
\(54\) | −0.312000 | + | 0.352465i | −0.0424579 | + | 0.0479645i | ||||
\(55\) | −0.800558 | + | 0.800558i | −0.107947 | + | 0.107947i | ||||
\(56\) | −4.33878 | − | 6.09713i | −0.579794 | − | 0.814763i | ||||
\(57\) | −1.63492 | − | 1.63492i | −0.216551 | − | 0.216551i | ||||
\(58\) | −9.16981 | + | 0.558428i | −1.20405 | + | 0.0733251i | ||||
\(59\) | 0.0306545 | + | 0.232844i | 0.00399088 | + | 0.0303137i | 0.993324 | − | 0.115354i | \(-0.0368003\pi\) |
−0.989334 | + | 0.145668i | \(0.953467\pi\) | |||||||
\(60\) | −0.638052 | + | 0.815784i | −0.0823721 | + | 0.105317i | ||||
\(61\) | −5.31438 | − | 0.699652i | −0.680437 | − | 0.0895813i | −0.217618 | − | 0.976034i | \(-0.569829\pi\) |
−0.462819 | + | 0.886453i | \(0.653162\pi\) | |||||||
\(62\) | −6.29079 | + | 1.22109i | −0.798931 | + | 0.155078i | ||||
\(63\) | −7.22376 | + | 2.27505i | −0.910108 | + | 0.286630i | ||||
\(64\) | 3.26543 | − | 7.30322i | 0.408178 | − | 0.912902i | ||||
\(65\) | 0.681585 | − | 1.18054i | 0.0845402 | − | 0.146428i | ||||
\(66\) | −11.8885 | − | 13.6834i | −1.46338 | − | 1.68432i | ||||
\(67\) | −0.0798450 | + | 0.104056i | −0.00975462 | + | 0.0127125i | −0.798205 | − | 0.602386i | \(-0.794217\pi\) |
0.788451 | + | 0.615098i | \(0.210884\pi\) | |||||||
\(68\) | −3.84476 | − | 0.542410i | −0.466246 | − | 0.0657769i | ||||
\(69\) | −2.28802 | − | 0.947727i | −0.275445 | − | 0.114093i | ||||
\(70\) | 0.747245 | − | 0.286335i | 0.0893128 | − | 0.0342236i | ||||
\(71\) | 2.68008 | + | 2.68008i | 0.318067 | + | 0.318067i | 0.848024 | − | 0.529957i | \(-0.177792\pi\) |
−0.529957 | + | 0.848024i | \(0.677792\pi\) | |||||||
\(72\) | −6.01256 | − | 5.42234i | −0.708588 | − | 0.639029i | ||||
\(73\) | 0.658358 | + | 0.176406i | 0.0770549 | + | 0.0206468i | 0.297141 | − | 0.954834i | \(-0.403967\pi\) |
−0.220086 | + | 0.975481i | \(0.570634\pi\) | |||||||
\(74\) | 3.94650 | + | 11.8052i | 0.458771 | + | 1.37232i | ||||
\(75\) | 7.30245 | + | 9.51674i | 0.843214 | + | 1.09890i | ||||
\(76\) | −1.36291 | + | 1.33792i | −0.156336 | + | 0.153469i | ||||
\(77\) | 2.42758 | + | 13.7938i | 0.276648 | + | 1.57195i | ||||
\(78\) | 18.0907 | + | 12.2093i | 2.04837 | + | 1.38243i | ||||
\(79\) | −10.7585 | − | 6.21144i | −1.21043 | − | 0.698842i | −0.247576 | − | 0.968868i | \(-0.579634\pi\) |
−0.962853 | + | 0.270027i | \(0.912967\pi\) | |||||||
\(80\) | 0.668943 | + | 0.533252i | 0.0747902 | + | 0.0596194i | ||||
\(81\) | 8.13502 | − | 4.69675i | 0.903891 | − | 0.521862i | ||||
\(82\) | −7.36425 | − | 15.1090i | −0.813246 | − | 1.66852i | ||||
\(83\) | 9.53153 | − | 3.94809i | 1.04622 | − | 0.433359i | 0.207680 | − | 0.978197i | \(-0.433409\pi\) |
0.838541 | + | 0.544838i | \(0.183409\pi\) | |||||||
\(84\) | 3.73546 | + | 12.2555i | 0.407572 | + | 1.33718i | ||||
\(85\) | 0.158894 | − | 0.383604i | 0.0172345 | − | 0.0416077i | ||||
\(86\) | −1.51337 | − | 1.33963i | −0.163191 | − | 0.144456i | ||||
\(87\) | 15.1927 | + | 4.07088i | 1.62883 | + | 0.436444i | ||||
\(88\) | −11.3931 | + | 9.71508i | −1.21451 | + | 1.03563i | ||||
\(89\) | 5.21525 | − | 1.39742i | 0.552816 | − | 0.148127i | 0.0284121 | − | 0.999596i | \(-0.490955\pi\) |
0.524404 | + | 0.851470i | \(0.324288\pi\) | |||||||
\(90\) | 0.722099 | − | 0.477673i | 0.0761159 | − | 0.0503512i | ||||
\(91\) | −7.12187 | − | 15.2859i | −0.746575 | − | 1.60240i | ||||
\(92\) | −0.800290 | + | 1.88261i | −0.0834360 | + | 0.196276i | ||||
\(93\) | 10.8776 | + | 1.43206i | 1.12795 | + | 0.148498i | ||||
\(94\) | 1.68313 | − | 1.46234i | 0.173601 | − | 0.150829i | ||||
\(95\) | −0.102115 | − | 0.176868i | −0.0104768 | − | 0.0181463i | ||||
\(96\) | −9.26667 | + | 10.0861i | −0.945775 | + | 1.02941i | ||||
\(97\) | −11.9387 | −1.21219 | −0.606097 | − | 0.795391i | \(-0.707266\pi\) | ||||
−0.606097 | + | 0.795391i | \(0.707266\pi\) | |||||||
\(98\) | 2.40370 | − | 9.60324i | 0.242810 | − | 0.970074i | ||||
\(99\) | 5.79894 | + | 13.9999i | 0.582815 | + | 1.40704i | ||||
\(100\) | 7.91643 | − | 5.95893i | 0.791643 | − | 0.595893i | ||||
\(101\) | 1.44894 | + | 11.0058i | 0.144175 | + | 1.09512i | 0.898612 | + | 0.438744i | \(0.144576\pi\) |
−0.754438 | + | 0.656372i | \(0.772090\pi\) | |||||||
\(102\) | 5.94855 | + | 2.96779i | 0.588994 | + | 0.293855i | ||||
\(103\) | −3.24809 | + | 0.870324i | −0.320044 | + | 0.0857556i | −0.415265 | − | 0.909701i | \(-0.636311\pi\) |
0.0952205 | + | 0.995456i | \(0.469644\pi\) | |||||||
\(104\) | 10.2229 | − | 14.8492i | 1.00243 | − | 1.45609i | ||||
\(105\) | −1.36878 | + | 0.0593148i | −0.133579 | + | 0.00578853i | ||||
\(106\) | −0.487213 | + | 2.39151i | −0.0473223 | + | 0.232284i | ||||
\(107\) | 6.75914 | + | 8.80868i | 0.653430 | + | 0.851567i | 0.996131 | − | 0.0878774i | \(-0.0280084\pi\) |
−0.342701 | + | 0.939445i | \(0.611342\pi\) | |||||||
\(108\) | −0.327500 | − | 0.579565i | −0.0315137 | − | 0.0557687i | ||||
\(109\) | 12.8360 | + | 9.84940i | 1.22946 | + | 0.943402i | 0.999556 | − | 0.0298105i | \(-0.00949037\pi\) |
0.229909 | + | 0.973212i | \(0.426157\pi\) | |||||||
\(110\) | −0.701504 | − | 1.43926i | −0.0668858 | − | 0.137228i | ||||
\(111\) | − | 21.3111i | − | 2.02276i | ||||||
\(112\) | 10.1513 | − | 2.99174i | 0.959210 | − | 0.282693i | ||||
\(113\) | − | 0.490870i | − | 0.0461772i | −0.999733 | − | 0.0230886i | \(-0.992650\pi\) | ||
0.999733 | − | 0.0230886i | \(-0.00734998\pi\) | |||||||
\(114\) | 2.93929 | − | 1.43263i | 0.275290 | − | 0.134178i | ||||
\(115\) | −0.173547 | − | 0.133167i | −0.0161833 | − | 0.0124179i | ||||
\(116\) | 3.47857 | − | 12.5177i | 0.322977 | − | 1.16224i | ||||
\(117\) | −11.1070 | − | 14.4750i | −1.02685 | − | 1.33821i | ||||
\(118\) | −0.325448 | − | 0.0663023i | −0.0299599 | − | 0.00610362i | ||||
\(119\) | −2.75843 | − | 4.33299i | −0.252865 | − | 0.397204i | ||||
\(120\) | −0.796741 | − | 1.22900i | −0.0727321 | − | 0.112191i | ||||
\(121\) | 16.4431 | − | 4.40592i | 1.49483 | − | 0.400538i | ||||
\(122\) | 3.38420 | − | 6.78318i | 0.306391 | − | 0.614121i | ||||
\(123\) | 3.75618 | + | 28.5310i | 0.338683 | + | 2.57256i | ||||
\(124\) | 1.26599 | − | 8.97371i | 0.113689 | − | 0.805863i | ||||
\(125\) | 0.814700 | + | 1.96686i | 0.0728690 | + | 0.175921i | ||||
\(126\) | 0.286681 | − | 10.7068i | 0.0255396 | − | 0.953835i | ||||
\(127\) | 7.61855 | 0.676037 | 0.338019 | − | 0.941139i | \(-0.390243\pi\) | ||||
0.338019 | + | 0.941139i | \(0.390243\pi\) | |||||||
\(128\) | 8.26010 | + | 7.73116i | 0.730096 | + | 0.683344i | ||||
\(129\) | 1.73017 | + | 2.99674i | 0.152333 | + | 0.263848i | ||||
\(130\) | 1.26438 | + | 1.45527i | 0.110893 | + | 0.127636i | ||||
\(131\) | 13.0595 | + | 1.71931i | 1.14101 | + | 0.150217i | 0.677256 | − | 0.735747i | \(-0.263169\pi\) |
0.463754 | + | 0.885964i | \(0.346502\pi\) | |||||||
\(132\) | 23.7733 | − | 9.59048i | 2.06920 | − | 0.834745i | ||||
\(133\) | −2.51681 | − | 0.221020i | −0.218235 | − | 0.0191648i | ||||
\(134\) | −0.102337 | − | 0.154703i | −0.00884056 | − | 0.0133643i | ||||
\(135\) | 0.0687605 | − | 0.0184243i | 0.00591796 | − | 0.00158571i | ||||
\(136\) | 2.49680 | − | 4.89069i | 0.214099 | − | 0.419373i | ||||
\(137\) | −12.7724 | − | 3.42236i | −1.09122 | − | 0.292392i | −0.332036 | − | 0.943267i | \(-0.607735\pi\) |
−0.759185 | + | 0.650875i | \(0.774402\pi\) | |||||||
\(138\) | 2.32141 | − | 2.62249i | 0.197612 | − | 0.223241i | ||||
\(139\) | −3.29303 | + | 7.95007i | −0.279311 | + | 0.674316i | −0.999817 | − | 0.0191323i | \(-0.993910\pi\) |
0.720506 | + | 0.693449i | \(0.243910\pi\) | |||||||
\(140\) | 0.0385313 | + | 1.13104i | 0.00325649 | + | 0.0955899i | ||||
\(141\) | −3.52680 | + | 1.46085i | −0.297010 | + | 0.123026i | ||||
\(142\) | −4.81830 | + | 2.34847i | −0.404343 | + | 0.197079i | ||||
\(143\) | −29.2207 | + | 16.8706i | −2.44356 | + | 1.41079i | ||||
\(144\) | 10.0203 | − | 5.54059i | 0.835029 | − | 0.461716i | ||||
\(145\) | 1.20317 | + | 0.694653i | 0.0999182 | + | 0.0576878i | ||||
\(146\) | −0.539218 | + | 0.798970i | −0.0446260 | + | 0.0661232i | ||||
\(147\) | −9.11594 | + | 14.2886i | −0.751870 | + | 1.17850i | ||||
\(148\) | −17.6025 | − | 0.162879i | −1.44691 | − | 0.0133885i | ||||
\(149\) | −6.70094 | − | 8.73284i | −0.548963 | − | 0.715422i | 0.433652 | − | 0.901081i | \(-0.357225\pi\) |
−0.982614 | + | 0.185659i | \(0.940558\pi\) | |||||||
\(150\) | −16.0891 | + | 5.37862i | −1.31367 | + | 0.439163i | ||||
\(151\) | −4.81746 | − | 1.29084i | −0.392040 | − | 0.105047i | 0.0574138 | − | 0.998350i | \(-0.481715\pi\) |
−0.449453 | + | 0.893304i | \(0.648381\pi\) | |||||||
\(152\) | −1.16086 | − | 2.43874i | −0.0941581 | − | 0.197808i | ||||
\(153\) | −3.92965 | − | 3.92965i | −0.317694 | − | 0.317694i | ||||
\(154\) | −19.5615 | − | 3.11006i | −1.57631 | − | 0.250615i | ||||
\(155\) | 0.895336 | + | 0.370860i | 0.0719151 | + | 0.0297882i | ||||
\(156\) | −24.6601 | + | 18.5624i | −1.97439 | + | 1.48618i | ||||
\(157\) | 10.4629 | − | 13.6355i | 0.835028 | − | 1.08823i | −0.159849 | − | 0.987141i | \(-0.551101\pi\) |
0.994877 | − | 0.101089i | \(-0.0322326\pi\) | |||||||
\(158\) | 13.2622 | − | 11.5226i | 1.05509 | − | 0.916685i | ||||
\(159\) | 2.08930 | − | 3.61877i | 0.165692 | − | 0.286987i | ||||
\(160\) | −1.02121 | + | 0.648698i | −0.0807340 | + | 0.0512841i | ||||
\(161\) | −2.58116 | + | 0.812910i | −0.203424 | + | 0.0640663i | ||||
\(162\) | 2.53136 | + | 13.0410i | 0.198882 | + | 1.02460i | ||||
\(163\) | −9.93305 | − | 1.30771i | −0.778016 | − | 0.102428i | −0.268949 | − | 0.963154i | \(-0.586676\pi\) |
−0.509067 | + | 0.860727i | \(0.670010\pi\) | |||||||
\(164\) | 23.5947 | − | 2.88446i | 1.84244 | − | 0.225239i | ||||
\(165\) | 0.357806 | + | 2.71781i | 0.0278552 | + | 0.211581i | ||||
\(166\) | 0.886881 | + | 14.5633i | 0.0688353 | + | 1.13033i | ||||
\(167\) | −3.38255 | − | 3.38255i | −0.261749 | − | 0.261749i | 0.564015 | − | 0.825765i | \(-0.309256\pi\) |
−0.825765 | + | 0.564015i | \(0.809256\pi\) | |||||||
\(168\) | −18.1073 | − | 0.652549i | −1.39701 | − | 0.0503452i | ||||
\(169\) | 19.5344 | − | 19.5344i | 1.50264 | − | 1.50264i | ||||
\(170\) | 0.439682 | + | 0.389204i | 0.0337220 | + | 0.0298506i | ||||
\(171\) | −2.71012 | + | 0.356794i | −0.207248 | + | 0.0272847i | ||||
\(172\) | 2.48846 | − | 1.40618i | 0.189744 | − | 0.107220i | ||||
\(173\) | 2.26199 | − | 17.1815i | 0.171976 | − | 1.30629i | −0.659913 | − | 0.751342i | \(-0.729407\pi\) |
0.831888 | − | 0.554943i | \(-0.187260\pi\) | |||||||
\(174\) | −12.4434 | + | 18.4376i | −0.943329 | + | 1.39775i | ||||
\(175\) | 12.7961 | + | 2.84121i | 0.967295 | + | 0.214775i | ||||
\(176\) | −7.73984 | − | 19.7095i | −0.583412 | − | 1.48566i | ||||
\(177\) | 0.492459 | + | 0.284321i | 0.0370155 | + | 0.0213709i | ||||
\(178\) | −0.534641 | + | 7.61692i | −0.0400730 | + | 0.570912i | ||||
\(179\) | −19.9022 | − | 15.2715i | −1.48756 | − | 1.14144i | −0.955598 | − | 0.294672i | \(-0.904789\pi\) |
−0.531959 | − | 0.846770i | \(-0.678544\pi\) | |||||||
\(180\) | 0.305946 | + | 1.18558i | 0.0228038 | + | 0.0883677i | ||||
\(181\) | −3.09294 | + | 7.46701i | −0.229896 | + | 0.555018i | −0.996164 | − | 0.0875025i | \(-0.972111\pi\) |
0.766268 | + | 0.642521i | \(0.222111\pi\) | |||||||
\(182\) | 23.7195 | − | 2.47889i | 1.75821 | − | 0.183748i | ||||
\(183\) | −9.17724 | + | 9.17724i | −0.678401 | + | 0.678401i | ||||
\(184\) | −2.14838 | − | 1.93748i | −0.158381 | − | 0.142833i | ||||
\(185\) | 0.487200 | − | 1.81826i | 0.0358197 | − | 0.133681i | ||||
\(186\) | −6.92685 | + | 13.8840i | −0.507901 | + | 1.01802i | ||||
\(187\) | −8.15351 | + | 6.25641i | −0.596244 | + | 0.457514i | ||||
\(188\) | 1.17967 | + | 2.92423i | 0.0860366 | + | 0.213271i | ||||
\(189\) | 0.301464 | − | 0.827427i | 0.0219283 | − | 0.0601864i | ||||
\(190\) | 0.283532 | − | 0.0550357i | 0.0205696 | − | 0.00399271i | ||||
\(191\) | −5.87093 | + | 10.1688i | −0.424806 | + | 0.735785i | −0.996402 | − | 0.0847496i | \(-0.972991\pi\) |
0.571596 | + | 0.820535i | \(0.306324\pi\) | |||||||
\(192\) | −9.21574 | − | 17.0374i | −0.665089 | − | 1.22957i | ||||
\(193\) | −4.86382 | − | 8.42438i | −0.350105 | − | 0.606400i | 0.636162 | − | 0.771555i | \(-0.280521\pi\) |
−0.986268 | + | 0.165155i | \(0.947187\pi\) | |||||||
\(194\) | 5.50106 | − | 15.9626i | 0.394953 | − | 1.14605i | ||||
\(195\) | −1.26308 | − | 3.04935i | −0.0904513 | − | 0.218369i | ||||
\(196\) | 11.7324 | + | 7.63878i | 0.838028 | + | 0.545627i | ||||
\(197\) | −13.7727 | − | 5.70484i | −0.981264 | − | 0.406453i | −0.166370 | − | 0.986063i | \(-0.553205\pi\) |
−0.814894 | + | 0.579610i | \(0.803205\pi\) | |||||||
\(198\) | −21.3905 | + | 1.30265i | −1.52015 | + | 0.0925751i | ||||
\(199\) | −0.748710 | + | 2.79422i | −0.0530746 | + | 0.198077i | −0.987372 | − | 0.158416i | \(-0.949361\pi\) |
0.934298 | + | 0.356494i | \(0.116028\pi\) | |||||||
\(200\) | 4.31966 | + | 13.3303i | 0.305446 | + | 0.942598i | ||||
\(201\) | 0.0821938 | + | 0.306752i | 0.00579751 | + | 0.0216366i | ||||
\(202\) | −15.3828 | − | 3.13389i | −1.08233 | − | 0.220500i | ||||
\(203\) | 15.5790 | − | 7.25842i | 1.09343 | − | 0.509442i | ||||
\(204\) | −6.70901 | + | 6.58599i | −0.469724 | + | 0.461111i | ||||
\(205\) | −0.331782 | + | 2.52013i | −0.0231727 | + | 0.176014i | ||||
\(206\) | 0.332978 | − | 4.74387i | 0.0231997 | − | 0.330521i | ||||
\(207\) | −2.53561 | + | 1.46393i | −0.176237 | + | 0.101750i | ||||
\(208\) | 15.1436 | + | 20.5106i | 1.05002 | + | 1.42215i | ||||
\(209\) | 5.05508i | 0.349667i | ||||||||
\(210\) | 0.551392 | − | 1.85745i | 0.0380497 | − | 0.128176i | ||||
\(211\) | 17.5854 | − | 7.28413i | 1.21063 | − | 0.501460i | 0.316212 | − | 0.948689i | \(-0.397589\pi\) |
0.894420 | + | 0.447229i | \(0.147589\pi\) | |||||||
\(212\) | −2.97306 | − | 1.75337i | −0.204190 | − | 0.120422i | ||||
\(213\) | 9.09859 | − | 1.19785i | 0.623425 | − | 0.0820755i | ||||
\(214\) | −14.8920 | + | 4.97845i | −1.01800 | + | 0.340320i | ||||
\(215\) | 0.0791080 | + | 0.295235i | 0.00539512 | + | 0.0201349i | ||||
\(216\) | 0.925808 | − | 0.170833i | 0.0629932 | − | 0.0116237i | ||||
\(217\) | 10.1132 | − | 6.43820i | 0.686531 | − | 0.437054i | ||||
\(218\) | −19.0836 | + | 12.6239i | −1.29250 | + | 0.855000i | ||||
\(219\) | 1.30926 | − | 1.00463i | 0.0884719 | − | 0.0678869i | ||||
\(220\) | 2.24759 | − | 0.274768i | 0.151532 | − | 0.0185249i | ||||
\(221\) | 7.53299 | − | 9.81718i | 0.506723 | − | 0.660375i | ||||
\(222\) | 28.4938 | + | 9.81959i | 1.91238 | + | 0.659048i | ||||
\(223\) | −14.2983 | −0.957484 | −0.478742 | − | 0.877956i | \(-0.658907\pi\) | ||||
−0.478742 | + | 0.877956i | \(0.658907\pi\) | |||||||
\(224\) | −0.677384 | + | 14.9513i | −0.0452596 | + | 0.998975i | ||||
\(225\) | 14.1817 | 0.945448 | ||||||||
\(226\) | 0.656315 | + | 0.226180i | 0.0436574 | + | 0.0150453i | ||||
\(227\) | −1.23134 | + | 1.60471i | −0.0817267 | + | 0.106508i | −0.832427 | − | 0.554134i | \(-0.813049\pi\) |
0.750701 | + | 0.660643i | \(0.229716\pi\) | |||||||
\(228\) | 0.561140 | + | 4.59009i | 0.0371624 | + | 0.303986i | ||||
\(229\) | 5.55226 | − | 4.26040i | 0.366904 | − | 0.281535i | −0.408811 | − | 0.912619i | \(-0.634056\pi\) |
0.775714 | + | 0.631084i | \(0.217390\pi\) | |||||||
\(230\) | 0.258016 | − | 0.170680i | 0.0170131 | − | 0.0112543i | ||||
\(231\) | 30.0750 | + | 15.6685i | 1.97879 | + | 1.03091i | ||||
\(232\) | 15.1339 | + | 10.4189i | 0.993592 | + | 0.684032i | ||||
\(233\) | 2.94294 | + | 10.9832i | 0.192798 | + | 0.719533i | 0.992826 | + | 0.119570i | \(0.0381515\pi\) |
−0.800028 | + | 0.599963i | \(0.795182\pi\) | |||||||
\(234\) | 24.4715 | − | 8.18090i | 1.59975 | − | 0.534802i | ||||
\(235\) | −0.334303 | + | 0.0440118i | −0.0218075 | + | 0.00287102i | ||||
\(236\) | 0.238607 | − | 0.404588i | 0.0155320 | − | 0.0263364i | ||||
\(237\) | −27.7895 | + | 11.5108i | −1.80512 | + | 0.747705i | ||||
\(238\) | 7.06441 | − | 1.69161i | 0.457918 | − | 0.109651i | ||||
\(239\) | − | 15.4440i | − | 0.998989i | −0.866317 | − | 0.499494i | \(-0.833519\pi\) | ||
0.866317 | − | 0.499494i | \(-0.166481\pi\) | |||||||
\(240\) | 2.01034 | − | 0.498987i | 0.129767 | − | 0.0322095i | ||||
\(241\) | −10.9405 | + | 6.31648i | −0.704737 | + | 0.406880i | −0.809109 | − | 0.587658i | \(-0.800050\pi\) |
0.104372 | + | 0.994538i | \(0.466717\pi\) | |||||||
\(242\) | −1.68566 | + | 24.0153i | −0.108359 | + | 1.54376i | ||||
\(243\) | 2.83838 | − | 21.5596i | 0.182082 | − | 1.38305i | ||||
\(244\) | 7.51006 | + | 7.65034i | 0.480782 | + | 0.489763i | ||||
\(245\) | −1.10443 | + | 1.01070i | −0.0705593 | + | 0.0645711i | ||||
\(246\) | −39.8780 | − | 8.12420i | −2.54253 | − | 0.517980i | ||||
\(247\) | −1.57531 | − | 5.87915i | −0.100235 | − | 0.374081i | ||||
\(248\) | 11.4149 | + | 5.82754i | 0.724847 | + | 0.370049i | ||||
\(249\) | 6.46526 | − | 24.1287i | 0.409719 | − | 1.52909i | ||||
\(250\) | −3.00517 | + | 0.183010i | −0.190064 | + | 0.0115746i | ||||
\(251\) | 7.71946 | + | 3.19750i | 0.487248 | + | 0.201825i | 0.612763 | − | 0.790267i | \(-0.290058\pi\) |
−0.125515 | + | 0.992092i | \(0.540058\pi\) | |||||||
\(252\) | 14.1833 | + | 5.31672i | 0.893466 | + | 0.334922i | ||||
\(253\) | 2.07205 | + | 5.00236i | 0.130268 | + | 0.314496i | ||||
\(254\) | −3.51044 | + | 10.1863i | −0.220264 | + | 0.639148i | ||||
\(255\) | −0.502667 | − | 0.870646i | −0.0314783 | − | 0.0545219i | ||||
\(256\) | −14.1429 | + | 7.48179i | −0.883934 | + | 0.467612i | ||||
\(257\) | −11.9533 | + | 20.7037i | −0.745625 | + | 1.29146i | 0.204278 | + | 0.978913i | \(0.434515\pi\) |
−0.949902 | + | 0.312547i | \(0.898818\pi\) | |||||||
\(258\) | −4.80398 | + | 0.932488i | −0.299083 | + | 0.0580542i | ||||
\(259\) | −14.9627 | − | 17.8437i | −0.929737 | − | 1.10875i | ||||
\(260\) | −2.52835 | + | 1.01997i | −0.156802 | + | 0.0632561i | ||||
\(261\) | 14.7525 | − | 11.3200i | 0.913158 | − | 0.700690i | ||||
\(262\) | −8.31626 | + | 16.6688i | −0.513780 | + | 1.02980i | ||||
\(263\) | −5.00798 | + | 18.6900i | −0.308805 | + | 1.15248i | 0.620815 | + | 0.783957i | \(0.286802\pi\) |
−0.929620 | + | 0.368519i | \(0.879865\pi\) | |||||||
\(264\) | 1.86877 | + | 36.2050i | 0.115015 | + | 2.22826i | ||||
\(265\) | 0.260989 | − | 0.260989i | 0.0160324 | − | 0.0160324i | ||||
\(266\) | 1.45520 | − | 3.26325i | 0.0892238 | − | 0.200082i | ||||
\(267\) | 5.00281 | − | 12.0779i | 0.306167 | − | 0.739152i | ||||
\(268\) | 0.253998 | − | 0.0655459i | 0.0155154 | − | 0.00400385i | ||||
\(269\) | −15.4012 | − | 11.8178i | −0.939029 | − | 0.720542i | 0.0211946 | − | 0.999775i | \(-0.493253\pi\) |
−0.960223 | + | 0.279233i | \(0.909920\pi\) | |||||||
\(270\) | −0.00704898 | + | 0.100425i | −0.000428987 | + | 0.00611169i | ||||
\(271\) | 4.47029 | + | 2.58092i | 0.271551 | + | 0.156780i | 0.629592 | − | 0.776926i | \(-0.283222\pi\) |
−0.358041 | + | 0.933706i | \(0.616555\pi\) | |||||||
\(272\) | 5.38861 | + | 5.59183i | 0.326732 | + | 0.339055i | ||||
\(273\) | −39.8605 | − | 8.85050i | −2.41247 | − | 0.535657i | ||||
\(274\) | 10.4610 | − | 15.5003i | 0.631975 | − | 0.936410i | ||||
\(275\) | 3.42322 | − | 26.0020i | 0.206428 | − | 1.56798i | ||||
\(276\) | 2.43674 | + | 4.31221i | 0.146674 | + | 0.259564i | ||||
\(277\) | 14.8247 | − | 1.95171i | 0.890732 | − | 0.117267i | 0.328750 | − | 0.944417i | \(-0.393373\pi\) |
0.561981 | + | 0.827150i | \(0.310039\pi\) | |||||||
\(278\) | −9.11225 | − | 8.06612i | −0.546517 | − | 0.483774i | ||||
\(279\) | 9.17184 | − | 9.17184i | 0.549104 | − | 0.549104i | ||||
\(280\) | −1.53000 | − | 0.469635i | −0.0914349 | − | 0.0280660i | ||||
\(281\) | −15.2312 | − | 15.2312i | −0.908616 | − | 0.908616i | 0.0875448 | − | 0.996161i | \(-0.472098\pi\) |
−0.996161 | + | 0.0875448i | \(0.972098\pi\) | |||||||
\(282\) | −0.328158 | − | 5.38861i | −0.0195415 | − | 0.320887i | ||||
\(283\) | 2.40061 | + | 18.2344i | 0.142701 | + | 1.08392i | 0.901556 | + | 0.432663i | \(0.142426\pi\) |
−0.758854 | + | 0.651260i | \(0.774241\pi\) | |||||||
\(284\) | −0.919860 | − | 7.52440i | −0.0545837 | − | 0.446491i | ||||
\(285\) | −0.490264 | − | 0.0645445i | −0.0290407 | − | 0.00382328i | ||||
\(286\) | −9.09254 | − | 46.8428i | −0.537653 | − | 2.76988i | ||||
\(287\) | 23.1769 | + | 21.2517i | 1.36809 | + | 1.25445i | ||||
\(288\) | 2.79089 | + | 15.9506i | 0.164455 | + | 0.939898i | ||||
\(289\) | −6.61545 | + | 11.4583i | −0.389144 | + | 0.674017i | ||||
\(290\) | −1.48317 | + | 1.28862i | −0.0870950 | + | 0.0756703i | ||||
\(291\) | −17.5974 | + | 22.9333i | −1.03158 | + | 1.34438i | ||||
\(292\) | −0.819800 | − | 1.08910i | −0.0479751 | − | 0.0637349i | ||||
\(293\) | 2.73138 | + | 1.13137i | 0.159569 | + | 0.0660955i | 0.461038 | − | 0.887380i | \(-0.347477\pi\) |
−0.301469 | + | 0.953476i | \(0.597477\pi\) | |||||||
\(294\) | −14.9041 | − | 18.7722i | −0.869223 | − | 1.09482i | ||||
\(295\) | 0.0355166 | + | 0.0355166i | 0.00206785 | + | 0.00206785i | ||||
\(296\) | 8.32855 | − | 23.4602i | 0.484087 | − | 1.36360i | ||||
\(297\) | −1.70196 | − | 0.456038i | −0.0987576 | − | 0.0264620i | ||||
\(298\) | 14.7638 | − | 4.93558i | 0.855245 | − | 0.285911i | ||||
\(299\) | −3.96871 | − | 5.17212i | −0.229516 | − | 0.299111i | ||||
\(300\) | 0.221985 | − | 23.9901i | 0.0128163 | − | 1.38507i | ||||
\(301\) | 3.55270 | + | 1.29439i | 0.204774 | + | 0.0746074i | ||||
\(302\) | 3.94567 | − | 5.84638i | 0.227048 | − | 0.336421i | ||||
\(303\) | 23.2769 | + | 13.4389i | 1.33722 | + | 0.772046i | ||||
\(304\) | 3.79560 | − | 0.428408i | 0.217693 | − | 0.0245709i | ||||
\(305\) | −0.992805 | + | 0.573196i | −0.0568479 | + | 0.0328211i | ||||
\(306\) | 7.06481 | − | 3.44344i | 0.403868 | − | 0.196848i | ||||
\(307\) | −28.6412 | + | 11.8636i | −1.63464 | + | 0.677090i | −0.995740 | − | 0.0922013i | \(-0.970610\pi\) |
−0.638899 | + | 0.769291i | \(0.720610\pi\) | |||||||
\(308\) | 13.1717 | − | 24.7215i | 0.750529 | − | 1.40864i | ||||
\(309\) | −3.11578 | + | 7.52216i | −0.177251 | + | 0.427921i | ||||
\(310\) | −0.908404 | + | 1.02622i | −0.0515939 | + | 0.0582854i | ||||
\(311\) | 7.98255 | + | 2.13892i | 0.452649 | + | 0.121287i | 0.477939 | − | 0.878393i | \(-0.341384\pi\) |
−0.0252896 | + | 0.999680i | \(0.508051\pi\) | |||||||
\(312\) | −13.4559 | − | 41.5247i | −0.761793 | − | 2.35087i | ||||
\(313\) | 0.678304 | − | 0.181751i | 0.0383400 | − | 0.0102732i | −0.239598 | − | 0.970872i | \(-0.577016\pi\) |
0.277938 | + | 0.960599i | \(0.410349\pi\) | |||||||
\(314\) | 13.4102 | + | 20.2722i | 0.756782 | + | 1.14403i | ||||
\(315\) | −0.929484 | + | 1.32652i | −0.0523705 | + | 0.0747409i | ||||
\(316\) | 9.29526 | + | 23.0415i | 0.522899 | + | 1.29618i | ||||
\(317\) | −16.6896 | − | 2.19723i | −0.937382 | − | 0.123409i | −0.353671 | − | 0.935370i | \(-0.615067\pi\) |
−0.583711 | + | 0.811961i | \(0.698400\pi\) | |||||||
\(318\) | 3.87576 | + | 4.46092i | 0.217342 | + | 0.250156i | ||||
\(319\) | −17.1940 | − | 29.7809i | −0.962681 | − | 1.66741i | ||||
\(320\) | −0.396788 | − | 1.66431i | −0.0221811 | − | 0.0930378i | ||||
\(321\) | 26.8836 | 1.50049 | ||||||||
\(322\) | 0.102435 | − | 3.82569i | 0.00570850 | − | 0.213197i | ||||
\(323\) | −0.709461 | − | 1.71279i | −0.0394755 | − | 0.0953022i | ||||
\(324\) | −18.6028 | − | 2.62444i | −1.03349 | − | 0.145802i | ||||
\(325\) | 4.12171 | + | 31.3075i | 0.228631 | + | 1.73663i | ||||
\(326\) | 6.32536 | − | 12.6784i | 0.350329 | − | 0.702189i | ||||
\(327\) | 37.8398 | − | 10.1391i | 2.09255 | − | 0.560696i | ||||
\(328\) | −7.01520 | + | 32.8763i | −0.387349 | + | 1.81529i | ||||
\(329\) | −1.92730 | + | 3.69936i | −0.106256 | + | 0.203952i | ||||
\(330\) | −3.79870 | − | 0.773895i | −0.209111 | − | 0.0426015i | ||||
\(331\) | 2.42266 | + | 3.15727i | 0.133161 | + | 0.173539i | 0.855175 | − | 0.518340i | \(-0.173450\pi\) |
−0.722013 | + | 0.691879i | \(0.756783\pi\) | |||||||
\(332\) | −19.8804 | − | 5.52458i | −1.09108 | − | 0.303201i | ||||
\(333\) | −19.9885 | − | 15.3377i | −1.09536 | − | 0.840500i | ||||
\(334\) | 6.08121 | − | 2.96402i | 0.332749 | − | 0.162184i | ||||
\(335\) | 0.0280511i | 0.00153259i | ||||||||
\(336\) | 9.21589 | − | 23.9096i | 0.502768 | − | 1.30438i | ||||
\(337\) | 5.11004i | 0.278362i | 0.990267 | + | 0.139181i | \(0.0444469\pi\) | ||||
−0.990267 | + | 0.139181i | \(0.955553\pi\) | |||||||
\(338\) | 17.1174 | + | 35.1193i | 0.931062 | + | 1.91024i | ||||
\(339\) | −0.942922 | − | 0.723529i | −0.0512125 | − | 0.0392967i | ||||
\(340\) | −0.722977 | + | 0.408538i | −0.0392089 | + | 0.0221561i | ||||
\(341\) | −14.6025 | − | 19.0303i | −0.790770 | − | 1.03055i | ||||
\(342\) | 0.771705 | − | 3.78795i | 0.0417290 | − | 0.204829i | ||||
\(343\) | 2.39941 | + | 18.3642i | 0.129556 | + | 0.991572i | ||||
\(344\) | 0.733499 | + | 3.97512i | 0.0395476 | + | 0.214324i | ||||
\(345\) | −0.511607 | + | 0.137085i | −0.0275440 | + | 0.00738039i | ||||
\(346\) | 21.9302 | + | 10.9412i | 1.17897 | + | 0.588201i | ||||
\(347\) | −2.01680 | − | 15.3191i | −0.108268 | − | 0.822373i | −0.956291 | − | 0.292415i | \(-0.905541\pi\) |
0.848024 | − | 0.529958i | \(-0.177792\pi\) | |||||||
\(348\) | −18.9183 | − | 25.1329i | −1.01413 | − | 1.34726i | ||||
\(349\) | 9.24036 | + | 22.3082i | 0.494625 | + | 1.19413i | 0.952342 | + | 0.305033i | \(0.0986673\pi\) |
−0.457717 | + | 0.889098i | \(0.651333\pi\) | |||||||
\(350\) | −9.69494 | + | 15.7998i | −0.518217 | + | 0.844535i | ||||
\(351\) | 2.12152 | 0.113238 | ||||||||
\(352\) | 29.9188 | − | 1.26685i | 1.59468 | − | 0.0675233i | ||||
\(353\) | −1.72710 | − | 2.99143i | −0.0919243 | − | 0.159218i | 0.816396 | − | 0.577492i | \(-0.195968\pi\) |
−0.908321 | + | 0.418274i | \(0.862635\pi\) | |||||||
\(354\) | −0.607063 | + | 0.527431i | −0.0322650 | + | 0.0280327i | ||||
\(355\) | 0.803675 | + | 0.105806i | 0.0426546 | + | 0.00561559i | ||||
\(356\) | −9.93781 | − | 4.22452i | −0.526703 | − | 0.223899i | ||||
\(357\) | −12.3892 | − | 1.08799i | −0.655705 | − | 0.0575823i | ||||
\(358\) | 29.5890 | − | 19.5734i | 1.56383 | − | 1.03448i | ||||
\(359\) | −21.9189 | + | 5.87316i | −1.15684 | + | 0.309973i | −0.785702 | − | 0.618606i | \(-0.787698\pi\) |
−0.371135 | + | 0.928579i | \(0.621031\pi\) | |||||||
\(360\) | −1.72614 | − | 0.137221i | −0.0909756 | − | 0.00723220i | ||||
\(361\) | 17.4718 | + | 4.68155i | 0.919567 | + | 0.246397i | ||||
\(362\) | −8.55857 | − | 7.57600i | −0.449829 | − | 0.398186i | ||||
\(363\) | 15.7733 | − | 38.0801i | 0.827884 | − | 1.99869i | ||||
\(364\) | −7.61497 | + | 32.8563i | −0.399133 | + | 1.72214i | ||||
\(365\) | 0.134674 | − | 0.0557836i | 0.00704914 | − | 0.00291985i | ||||
\(366\) | −8.04173 | − | 16.4990i | −0.420348 | − | 0.862417i | ||||
\(367\) | −0.698185 | + | 0.403097i | −0.0364450 | + | 0.0210415i | −0.518112 | − | 0.855313i | \(-0.673365\pi\) |
0.481667 | + | 0.876354i | \(0.340032\pi\) | |||||||
\(368\) | 3.58042 | − | 1.97973i | 0.186642 | − | 0.103201i | ||||
\(369\) | 29.4637 | + | 17.0109i | 1.53382 | + | 0.885550i | ||||
\(370\) | 2.20660 | + | 1.48921i | 0.114716 | + | 0.0774206i | ||||
\(371\) | −0.791411 | − | 4.49690i | −0.0410880 | − | 0.233467i | ||||
\(372\) | −15.3717 | − | 15.6589i | −0.796988 | − | 0.811875i | ||||
\(373\) | 10.6625 | + | 13.8957i | 0.552084 | + | 0.719490i | 0.983144 | − | 0.182833i | \(-0.0585268\pi\) |
−0.431060 | + | 0.902323i | \(0.641860\pi\) | |||||||
\(374\) | −4.60816 | − | 13.7844i | −0.238282 | − | 0.712774i | ||||
\(375\) | 4.97903 | + | 1.33413i | 0.257116 | + | 0.0688940i | ||||
\(376\) | −4.45338 | + | 0.229867i | −0.229666 | + | 0.0118545i | ||||
\(377\) | 29.2776 | + | 29.2776i | 1.50787 | + | 1.50787i | ||||
\(378\) | 0.967399 | + | 0.784329i | 0.0497576 | + | 0.0403415i | ||||
\(379\) | −30.7730 | − | 12.7466i | −1.58070 | − | 0.654748i | −0.592177 | − | 0.805808i | \(-0.701732\pi\) |
−0.988525 | + | 0.151059i | \(0.951732\pi\) | |||||||
\(380\) | −0.0570594 | + | 0.404454i | −0.00292709 | + | 0.0207481i | ||||
\(381\) | 11.2295 | − | 14.6346i | 0.575307 | − | 0.749755i | ||||
\(382\) | −10.8909 | − | 12.5352i | −0.557227 | − | 0.641357i | ||||
\(383\) | 8.82547 | − | 15.2862i | 0.450961 | − | 0.781087i | −0.547485 | − | 0.836815i | \(-0.684415\pi\) |
0.998446 | + | 0.0557287i | \(0.0177482\pi\) | |||||||
\(384\) | 27.0261 | − | 4.47146i | 1.37917 | − | 0.228183i | ||||
\(385\) | 2.20779 | + | 2.02439i | 0.112519 | + | 0.103173i | ||||
\(386\) | 13.5049 | − | 2.62140i | 0.687381 | − | 0.133426i | ||||
\(387\) | 4.05596 | + | 0.533978i | 0.206176 | + | 0.0271436i | ||||
\(388\) | 18.8079 | + | 14.7103i | 0.954828 | + | 0.746803i | ||||
\(389\) | −0.353065 | − | 2.68179i | −0.0179011 | − | 0.135972i | 0.980161 | − | 0.198205i | \(-0.0635112\pi\) |
−0.998062 | + | 0.0622328i | \(0.980178\pi\) | |||||||
\(390\) | 4.65912 | − | 0.283733i | 0.235924 | − | 0.0143674i | ||||
\(391\) | −1.40412 | − | 1.40412i | −0.0710096 | − | 0.0710096i | ||||
\(392\) | −15.6194 | + | 12.1670i | −0.788898 | + | 0.614525i | ||||
\(393\) | 22.5519 | − | 22.5519i | 1.13760 | − | 1.13760i | ||||
\(394\) | 13.9737 | − | 15.7861i | 0.703986 | − | 0.795290i | ||||
\(395\) | −2.63415 | + | 0.346792i | −0.132538 | + | 0.0174490i | ||||
\(396\) | 8.11449 | − | 29.2002i | 0.407768 | − | 1.46737i | ||||
\(397\) | 2.43800 | − | 18.5185i | 0.122360 | − | 0.929415i | −0.814611 | − | 0.580008i | \(-0.803050\pi\) |
0.936971 | − | 0.349407i | \(-0.113617\pi\) | |||||||
\(398\) | −3.39101 | − | 2.28857i | −0.169976 | − | 0.114715i | ||||
\(399\) | −4.13427 | + | 4.50881i | −0.206973 | + | 0.225723i | ||||
\(400\) | −19.8136 | − | 0.366709i | −0.990682 | − | 0.0183355i | ||||
\(401\) | −1.71854 | − | 0.992202i | −0.0858200 | − | 0.0495482i | 0.456476 | − | 0.889736i | \(-0.349111\pi\) |
−0.542296 | + | 0.840188i | \(0.682445\pi\) | |||||||
\(402\) | −0.448013 | − | 0.0314466i | −0.0223449 | − | 0.00156841i | ||||
\(403\) | 22.9134 | + | 17.5820i | 1.14140 | + | 0.875824i | ||||
\(404\) | 11.2782 | − | 19.1235i | 0.561110 | − | 0.951430i | ||||
\(405\) | 0.768806 | − | 1.85606i | 0.0382023 | − | 0.0922284i | ||||
\(406\) | 2.52642 | + | 24.1743i | 0.125384 | + | 1.19975i | ||||
\(407\) | −32.9462 | + | 32.9462i | −1.63308 | + | 1.63308i | ||||
\(408\) | −5.71441 | − | 12.0049i | −0.282906 | − | 0.594331i | ||||
\(409\) | −9.12508 | + | 34.0553i | −0.451206 | + | 1.68392i | 0.247802 | + | 0.968811i | \(0.420292\pi\) |
−0.699008 | + | 0.715114i | \(0.746375\pi\) | |||||||
\(410\) | −3.21665 | − | 1.60482i | −0.158859 | − | 0.0792565i | ||||
\(411\) | −25.4003 | + | 19.4903i | −1.25290 | + | 0.961386i | ||||
\(412\) | 6.18933 | + | 2.63106i | 0.304927 | + | 0.129623i | ||||
\(413\) | 0.611959 | − | 0.107699i | 0.0301125 | − | 0.00529952i | ||||
\(414\) | −0.789000 | − | 4.06476i | −0.0387772 | − | 0.199772i | ||||
\(415\) | 1.10323 | − | 1.91085i | 0.0541555 | − | 0.0938000i | ||||
\(416\) | −34.4013 | + | 10.7970i | −1.68666 | + | 0.529364i | ||||
\(417\) | 10.4176 | + | 18.0438i | 0.510153 | + | 0.883611i | ||||
\(418\) | −6.75887 | − | 2.32925i | −0.330587 | − | 0.113928i | ||||
\(419\) | −7.44655 | − | 17.9776i | −0.363788 | − | 0.878261i | −0.994739 | − | 0.102439i | \(-0.967335\pi\) |
0.630952 | − | 0.775822i | \(-0.282665\pi\) | |||||||
\(420\) | 2.22942 | + | 1.59310i | 0.108785 | + | 0.0777354i | ||||
\(421\) | −18.1563 | − | 7.52057i | −0.884882 | − | 0.366530i | −0.106494 | − | 0.994313i | \(-0.533963\pi\) |
−0.778388 | + | 0.627783i | \(0.783963\pi\) | |||||||
\(422\) | 1.63627 | + | 26.8688i | 0.0796525 | + | 1.30795i | ||||
\(423\) | −1.16807 | + | 4.35930i | −0.0567936 | + | 0.211956i | ||||
\(424\) | 3.71424 | − | 3.16720i | 0.180380 | − | 0.153813i | ||||
\(425\) | 2.48940 | + | 9.29056i | 0.120753 | + | 0.450658i | ||||
\(426\) | −2.59082 | + | 12.7172i | −0.125526 | + | 0.616148i | ||||
\(427\) | −1.24064 | + | 14.1275i | −0.0600388 | + | 0.683677i | ||||
\(428\) | 0.205469 | − | 22.2052i | 0.00993171 | − | 1.07333i | ||||
\(429\) | −10.6635 | + | 80.9973i | −0.514839 | + | 3.91059i | ||||
\(430\) | −0.431193 | − | 0.0302660i | −0.0207940 | − | 0.00145956i | ||||
\(431\) | 8.97162 | − | 5.17977i | 0.432148 | − | 0.249501i | −0.268113 | − | 0.963387i | \(-0.586400\pi\) |
0.700261 | + | 0.713887i | \(0.253067\pi\) | |||||||
\(432\) | −0.198178 | + | 1.31656i | −0.00953486 | + | 0.0633431i | ||||
\(433\) | − | 27.4963i | − | 1.32139i | −0.750656 | − | 0.660694i | \(-0.770262\pi\) | ||
0.750656 | − | 0.660694i | \(-0.229738\pi\) | |||||||
\(434\) | 3.94824 | + | 16.4884i | 0.189521 | + | 0.791468i | ||||
\(435\) | 3.10782 | − | 1.28730i | 0.149009 | − | 0.0617214i | ||||
\(436\) | −8.08551 | − | 31.3324i | −0.387226 | − | 1.50055i | ||||
\(437\) | −0.968366 | + | 0.127488i | −0.0463232 | + | 0.00609857i | ||||
\(438\) | 0.739964 | + | 2.21345i | 0.0353568 | + | 0.105763i | ||||
\(439\) | 7.99212 | + | 29.8270i | 0.381443 | + | 1.42357i | 0.843698 | + | 0.536818i | \(0.180374\pi\) |
−0.462255 | + | 0.886747i | \(0.652959\pi\) | |||||||
\(440\) | −0.668254 | + | 3.13173i | −0.0318577 | + | 0.149299i | ||||
\(441\) | 6.84102 | + | 18.8338i | 0.325763 | + | 0.896846i | ||||
\(442\) | 9.65499 | + | 14.5954i | 0.459241 | + | 0.694234i | ||||
\(443\) | 14.2610 | − | 10.9428i | 0.677559 | − | 0.519909i | −0.211688 | − | 0.977337i | \(-0.567896\pi\) |
0.889247 | + | 0.457428i | \(0.151229\pi\) | |||||||
\(444\) | −26.2585 | + | 33.5729i | −1.24617 | + | 1.59330i | ||||
\(445\) | 0.702956 | − | 0.916110i | 0.0333233 | − | 0.0434278i | ||||
\(446\) | 6.58829 | − | 19.1174i | 0.311964 | − | 0.905237i | ||||
\(447\) | −26.6521 | −1.26060 | ||||||||
\(448\) | −19.6784 | − | 7.79487i | −0.929718 | − | 0.368273i | ||||
\(449\) | −8.48584 | −0.400472 | −0.200236 | − | 0.979748i | \(-0.564171\pi\) | ||||
−0.200236 | + | 0.979748i | \(0.564171\pi\) | |||||||
\(450\) | −6.53458 | + | 18.9616i | −0.308043 | + | 0.893858i | ||||
\(451\) | 38.3012 | − | 49.9150i | 1.80353 | − | 2.35041i | ||||
\(452\) | −0.604827 | + | 0.773303i | −0.0284486 | + | 0.0363731i | ||||
\(453\) | −9.58041 | + | 7.35130i | −0.450127 | + | 0.345394i | ||||
\(454\) | −1.57820 | − | 2.38576i | −0.0740685 | − | 0.111969i | ||||
\(455\) | −3.19856 | − | 1.66639i | −0.149951 | − | 0.0781216i | ||||
\(456\) | −6.39571 | − | 1.36473i | −0.299506 | − | 0.0639092i | ||||
\(457\) | −9.90856 | − | 36.9792i | −0.463503 | − | 1.72982i | −0.661806 | − | 0.749675i | \(-0.730210\pi\) |
0.198303 | − | 0.980141i | \(-0.436457\pi\) | |||||||
\(458\) | 3.13800 | + | 9.38670i | 0.146629 | + | 0.438612i | ||||
\(459\) | 0.640670 | − | 0.0843457i | 0.0299039 | − | 0.00393692i | ||||
\(460\) | 0.109319 | + | 0.423624i | 0.00509702 | + | 0.0197516i | ||||
\(461\) | 19.2793 | − | 7.98574i | 0.897925 | − | 0.371933i | 0.114503 | − | 0.993423i | \(-0.463472\pi\) |
0.783422 | + | 0.621490i | \(0.213472\pi\) | |||||||
\(462\) | −34.8073 | + | 32.9919i | −1.61938 | + | 1.53492i | ||||
\(463\) | 20.4343i | 0.949664i | 0.880076 | + | 0.474832i | \(0.157491\pi\) | ||||
−0.880076 | + | 0.474832i | \(0.842509\pi\) | |||||||
\(464\) | −20.9038 | + | 15.4340i | −0.970435 | + | 0.716505i | ||||
\(465\) | 2.03209 | − | 1.17323i | 0.0942361 | − | 0.0544072i | ||||
\(466\) | −16.0410 | − | 1.12594i | −0.743087 | − | 0.0521582i | ||||
\(467\) | −5.58239 | + | 42.4024i | −0.258322 | + | 1.96215i | 0.0138579 | + | 0.999904i | \(0.495589\pi\) |
−0.272180 | + | 0.962246i | \(0.587745\pi\) | |||||||
\(468\) | −0.337639 | + | 36.4890i | −0.0156074 | + | 1.68671i | ||||
\(469\) | 0.284194 | + | 0.199133i | 0.0131229 | + | 0.00919510i | ||||
\(470\) | 0.0951927 | − | 0.467258i | 0.00439091 | − | 0.0215530i | ||||
\(471\) | −10.7707 | − | 40.1967i | −0.496286 | − | 1.85217i | ||||
\(472\) | 0.431007 | + | 0.505452i | 0.0198387 | + | 0.0232653i | ||||
\(473\) | 1.95808 | − | 7.30765i | 0.0900326 | − | 0.336006i | ||||
\(474\) | −2.58573 | − | 42.4596i | −0.118766 | − | 1.95023i | ||||
\(475\) | 4.37083 | + | 1.81046i | 0.200547 | + | 0.0830694i | ||||
\(476\) | −0.993342 | + | 10.2249i | −0.0455298 | + | 0.468657i | ||||
\(477\) | −1.89050 | − | 4.56408i | −0.0865602 | − | 0.208975i | ||||
\(478\) | 20.6493 | + | 7.11620i | 0.944477 | + | 0.325488i | ||||
\(479\) | 6.77441 | + | 11.7336i | 0.309531 | + | 0.536123i | 0.978260 | − | 0.207383i | \(-0.0664947\pi\) |
−0.668729 | + | 0.743506i | \(0.733161\pi\) | |||||||
\(480\) | −0.259146 | + | 2.91783i | −0.0118283 | + | 0.133180i | ||||
\(481\) | 28.0500 | − | 48.5841i | 1.27897 | − | 2.21524i | ||||
\(482\) | −3.40432 | − | 17.5384i | −0.155063 | − | 0.798850i | ||||
\(483\) | −2.24302 | + | 6.15640i | −0.102061 | + | 0.280126i | ||||
\(484\) | −31.3328 | − | 13.3195i | −1.42422 | − | 0.605430i | ||||
\(485\) | −2.02569 | + | 1.55437i | −0.0919819 | + | 0.0705802i | ||||
\(486\) | 27.5183 | + | 13.7292i | 1.24825 | + | 0.622767i | ||||
\(487\) | 1.46327 | − | 5.46101i | 0.0663072 | − | 0.247462i | −0.924815 | − | 0.380418i | \(-0.875780\pi\) |
0.991122 | + | 0.132956i | \(0.0424469\pi\) | |||||||
\(488\) | −13.6893 | + | 6.51620i | −0.619685 | + | 0.294974i | ||||
\(489\) | −17.1531 | + | 17.1531i | −0.775688 | + | 0.775688i | ||||
\(490\) | −0.842454 | − | 1.94237i | −0.0380582 | − | 0.0877475i | ||||
\(491\) | −11.1565 | + | 26.9342i | −0.503487 | + | 1.21553i | 0.444086 | + | 0.895984i | \(0.353529\pi\) |
−0.947573 | + | 0.319541i | \(0.896471\pi\) | |||||||
\(492\) | 29.2372 | − | 49.5752i | 1.31811 | − | 2.23502i | ||||
\(493\) | 10.0054 | + | 7.67742i | 0.450621 | + | 0.345774i | ||||
\(494\) | 8.58654 | + | 0.602700i | 0.386327 | + | 0.0271168i | ||||
\(495\) | 2.80665 | + | 1.62042i | 0.126150 | + | 0.0728325i | ||||
\(496\) | −13.0514 | + | 12.5771i | −0.586024 | + | 0.564726i | ||||
\(497\) | 6.77719 | − | 7.39117i | 0.303999 | − | 0.331539i | ||||
\(498\) | 29.2821 | + | 19.7622i | 1.31216 | + | 0.885567i | ||||
\(499\) | −0.828573 | + | 6.29363i | −0.0370920 | + | 0.281742i | 0.962840 | + | 0.270073i | \(0.0870478\pi\) |
−0.999932 | + | 0.0116690i | \(0.996286\pi\) | |||||||
\(500\) | 1.14001 | − | 4.10237i | 0.0509830 | − | 0.183464i | ||||
\(501\) | −11.4834 | + | 1.51182i | −0.513040 | + | 0.0675430i | ||||
\(502\) | −7.83214 | + | 8.84793i | −0.349565 | + | 0.394902i | ||||
\(503\) | 9.35885 | − | 9.35885i | 0.417290 | − | 0.417290i | −0.466978 | − | 0.884269i | \(-0.654657\pi\) |
0.884269 | + | 0.466978i | \(0.154657\pi\) | |||||||
\(504\) | −13.6440 | + | 16.5139i | −0.607752 | + | 0.735589i | ||||
\(505\) | 1.67875 | + | 1.67875i | 0.0747034 | + | 0.0747034i | ||||
\(506\) | −7.64313 | + | 0.465455i | −0.339778 | + | 0.0206920i | ||||
\(507\) | −8.73082 | − | 66.3171i | −0.387749 | − | 2.94525i | ||||
\(508\) | −12.0021 | − | 9.38721i | −0.532505 | − | 0.416490i | ||||
\(509\) | −21.9212 | − | 2.88598i | −0.971640 | − | 0.127919i | −0.372038 | − | 0.928217i | \(-0.621341\pi\) |
−0.599602 | + | 0.800299i | \(0.704674\pi\) | |||||||
\(510\) | 1.39571 | − | 0.270917i | 0.0618030 | − | 0.0119964i | ||||
\(511\) | 0.390879 | − | 1.76042i | 0.0172915 | − | 0.0778766i | ||||
\(512\) | −3.48677 | − | 22.3572i | −0.154095 | − | 0.988056i | ||||
\(513\) | 0.158923 | − | 0.275262i | 0.00701661 | − | 0.0121531i | ||||
\(514\) | −22.1740 | − | 25.5218i | −0.978051 | − | 1.12572i | ||||
\(515\) | −0.437805 | + | 0.570559i | −0.0192920 | + | 0.0251418i | ||||
\(516\) | 0.966777 | − | 6.85281i | 0.0425600 | − | 0.301678i | ||||
\(517\) | 7.71075 | + | 3.19390i | 0.339119 | + | 0.140467i | ||||
\(518\) | 30.7522 | − | 11.7839i | 1.35117 | − | 0.517754i | ||||
\(519\) | −29.6702 | − | 29.6702i | −1.30238 | − | 1.30238i | ||||
\(520\) | −0.198748 | − | 3.85050i | −0.00871569 | − | 0.168856i | ||||
\(521\) | −2.06726 | − | 0.553920i | −0.0905681 | − | 0.0242677i | 0.213250 | − | 0.976998i | \(-0.431595\pi\) |
−0.303819 | + | 0.952730i | \(0.598262\pi\) | |||||||
\(522\) | 8.33775 | + | 24.9407i | 0.364934 | + | 1.09163i | ||||
\(523\) | −0.908538 | − | 1.18403i | −0.0397276 | − | 0.0517740i | 0.773067 | − | 0.634324i | \(-0.218722\pi\) |
−0.812795 | + | 0.582550i | \(0.802055\pi\) | |||||||
\(524\) | −18.4551 | − | 18.7998i | −0.806213 | − | 0.821273i | ||||
\(525\) | 24.3189 | − | 20.3924i | 1.06136 | − | 0.889999i | ||||
\(526\) | −22.6818 | − | 15.3078i | −0.988975 | − | 0.667451i | ||||
\(527\) | 7.61853 | + | 4.39856i | 0.331868 | + | 0.191604i | ||||
\(528\) | −49.2687 | − | 14.1837i | −2.14415 | − | 0.617267i | ||||
\(529\) | 19.0126 | − | 10.9769i | 0.826634 | − | 0.477257i | ||||
\(530\) | 0.228696 | + | 0.469210i | 0.00993393 | + | 0.0203812i | ||||
\(531\) | 0.621101 | − | 0.257269i | 0.0269535 | − | 0.0111645i | ||||
\(532\) | 3.69259 | + | 3.44928i | 0.160094 | + | 0.149545i | ||||
\(533\) | −28.9899 | + | 69.9878i | −1.25569 | + | 3.03151i | ||||
\(534\) | 13.8434 | + | 12.2541i | 0.599065 | + | 0.530289i | ||||
\(535\) | 2.29370 | + | 0.614596i | 0.0991654 | + | 0.0265713i | ||||
\(536\) | −0.0293984 | + | 0.369809i | −0.00126982 | + | 0.0159733i | ||||
\(537\) | −58.6705 | + | 15.7207i | −2.53182 | + | 0.678399i | ||||
\(538\) | 22.8974 | − | 15.1468i | 0.987176 | − | 0.653024i | ||||
\(539\) | 36.1827 | − | 7.99675i | 1.55850 | − | 0.344444i | ||||
\(540\) | −0.131025 | − | 0.0556982i | −0.00563842 | − | 0.00239687i | ||||
\(541\) | −25.4586 | − | 3.35169i | −1.09455 | − | 0.144100i | −0.438437 | − | 0.898762i | \(-0.644468\pi\) |
−0.656114 | + | 0.754662i | \(0.727801\pi\) | |||||||
\(542\) | −5.51061 | + | 4.78775i | −0.236701 | + | 0.205652i | ||||
\(543\) | 9.78462 | + | 16.9475i | 0.419898 | + | 0.727285i | ||||
\(544\) | −9.95946 | + | 4.62823i | −0.427008 | + | 0.198434i | ||||
\(545\) | 3.46028 | 0.148222 | ||||||||
\(546\) | 30.2002 | − | 49.2171i | 1.29245 | − | 2.10630i | ||||
\(547\) | 8.86177 | + | 21.3942i | 0.378902 | + | 0.914750i | 0.992172 | + | 0.124877i | \(0.0398537\pi\) |
−0.613270 | + | 0.789873i | \(0.710146\pi\) | |||||||
\(548\) | 15.9044 | + | 21.1290i | 0.679404 | + | 0.902588i | ||||
\(549\) | 2.00278 | + | 15.2126i | 0.0854764 | + | 0.649258i | ||||
\(550\) | 33.1884 | + | 16.5580i | 1.41516 | + | 0.706037i | ||||
\(551\) | 5.99187 | − | 1.60552i | 0.255262 | − | 0.0683973i | ||||
\(552\) | −6.88840 | + | 1.27107i | −0.293190 | + | 0.0541001i | ||||
\(553\) | −15.1862 | + | 29.1492i | −0.645783 | + | 1.23955i | ||||
\(554\) | −4.22133 | + | 20.7206i | −0.179347 | + | 0.880334i | ||||
\(555\) | −2.77460 | − | 3.61593i | −0.117775 | − | 0.153488i | ||||
\(556\) | 14.9835 | − | 8.46682i | 0.635440 | − | 0.359073i | ||||
\(557\) | 11.0651 | + | 8.49058i | 0.468845 | + | 0.359757i | 0.816002 | − | 0.578050i | \(-0.196186\pi\) |
−0.347156 | + | 0.937807i | \(0.612853\pi\) | |||||||
\(558\) | 8.03701 | + | 16.4893i | 0.340234 | + | 0.698048i | ||||
\(559\) | 9.10911i | 0.385274i | ||||||||
\(560\) | 1.33291 | − | 1.82928i | 0.0563256 | − | 0.0773012i | ||||
\(561\) | 24.8840i | 1.05060i | ||||||||
\(562\) | 27.3829 | − | 13.3466i | 1.15508 | − | 0.562993i | ||||
\(563\) | 2.44469 | + | 1.87587i | 0.103031 | + | 0.0790586i | 0.658992 | − | 0.752150i | \(-0.270983\pi\) |
−0.555961 | + | 0.831208i | \(0.687650\pi\) | |||||||
\(564\) | 7.35601 | + | 2.04417i | 0.309744 | + | 0.0860752i | ||||
\(565\) | −0.0639091 | − | 0.0832880i | −0.00268868 | − | 0.00350395i | ||||
\(566\) | −25.4864 | − | 5.19224i | −1.07127 | − | 0.218246i | ||||
\(567\) | −13.3466 | − | 20.9651i | −0.560505 | − | 0.880450i | ||||
\(568\) | 10.4843 | + | 2.23716i | 0.439911 | + | 0.0938691i | ||||
\(569\) | −18.5733 | + | 4.97670i | −0.778633 | + | 0.208634i | −0.626182 | − | 0.779677i | \(-0.715383\pi\) |
−0.152451 | + | 0.988311i | \(0.548717\pi\) | |||||||
\(570\) | 0.312200 | − | 0.625764i | 0.0130766 | − | 0.0262104i | ||||
\(571\) | 2.75318 | + | 20.9124i | 0.115217 | + | 0.875159i | 0.947264 | + | 0.320454i | \(0.103835\pi\) |
−0.832047 | + | 0.554705i | \(0.812831\pi\) | |||||||
\(572\) | 66.8206 | + | 9.42688i | 2.79391 | + | 0.394158i | ||||
\(573\) | 10.8798 | + | 26.2661i | 0.454509 | + | 1.09728i | ||||
\(574\) | −39.0938 | + | 21.1964i | −1.63174 | + | 0.884719i | ||||
\(575\) | 5.06734 | 0.211323 | ||||||||
\(576\) | −22.6126 | − | 3.61809i | −0.942193 | − | 0.150754i | ||||
\(577\) | −12.1593 | − | 21.0605i | −0.506199 | − | 0.876762i | −0.999974 | − | 0.00717238i | \(-0.997717\pi\) |
0.493776 | − | 0.869589i | \(-0.335616\pi\) | |||||||
\(578\) | −12.2720 | − | 14.1248i | −0.510448 | − | 0.587516i | ||||
\(579\) | −23.3517 | − | 3.07431i | −0.970463 | − | 0.127764i | ||||
\(580\) | −1.03953 | − | 2.57683i | −0.0431642 | − | 0.106997i | ||||
\(581\) | −11.5276 | − | 24.7422i | −0.478247 | − | 1.02648i | ||||
\(582\) | −22.5544 | − | 34.0955i | −0.934912 | − | 1.41331i | ||||
\(583\) | −8.82449 | + | 2.36452i | −0.365473 | + | 0.0979282i | ||||
\(584\) | 1.83392 | − | 0.594277i | 0.0758882 | − | 0.0245914i | ||||
\(585\) | −3.76915 | − | 1.00994i | −0.155835 | − | 0.0417560i | ||||
\(586\) | −2.77125 | + | 3.13066i | −0.114479 | + | 0.129326i | ||||
\(587\) | 4.10572 | − | 9.91207i | 0.169461 | − | 0.409115i | −0.816219 | − | 0.577743i | \(-0.803934\pi\) |
0.985680 | + | 0.168628i | \(0.0539336\pi\) | |||||||
\(588\) | 31.9667 | − | 11.2776i | 1.31829 | − | 0.465081i | ||||
\(589\) | 3.99767 | − | 1.65589i | 0.164721 | − | 0.0682296i | ||||
\(590\) | −0.0638523 | + | 0.0311221i | −0.00262876 | + | 0.00128128i | ||||
\(591\) | −31.2591 | + | 18.0475i | −1.28583 | + | 0.742374i | ||||
\(592\) | 27.5298 | + | 21.9455i | 1.13147 | + | 0.901955i | ||||
\(593\) | 18.8079 | + | 10.8587i | 0.772347 | + | 0.445915i | 0.833711 | − | 0.552201i | \(-0.186212\pi\) |
−0.0613642 | + | 0.998115i | \(0.519545\pi\) | |||||||
\(594\) | 1.39396 | − | 2.06546i | 0.0571950 | − | 0.0847469i | ||||
\(595\) | −1.03217 | − | 0.376061i | −0.0423149 | − | 0.0154170i | ||||
\(596\) | −0.203700 | + | 22.0141i | −0.00834387 | + | 0.901731i | ||||
\(597\) | 4.26390 | + | 5.55682i | 0.174510 | + | 0.227426i | ||||
\(598\) | 8.74403 | − | 2.92315i | 0.357570 | − | 0.119537i | ||||
\(599\) | −3.04141 | − | 0.814944i | −0.124269 | − | 0.0332977i | 0.196149 | − | 0.980574i | \(-0.437156\pi\) |
−0.320417 | + | 0.947276i | \(0.603823\pi\) | |||||||
\(600\) | 31.9736 | + | 11.3509i | 1.30532 | + | 0.463397i | ||||
\(601\) | 24.7237 | + | 24.7237i | 1.00850 | + | 1.00850i | 0.999964 | + | 0.00853894i | \(0.00271806\pi\) |
0.00853894 | + | 0.999964i | \(0.497282\pi\) | |||||||
\(602\) | −3.36765 | + | 4.15369i | −0.137255 | + | 0.169292i | ||||
\(603\) | 0.346869 | + | 0.143678i | 0.0141256 | + | 0.00585102i | ||||
\(604\) | 5.99880 | + | 7.96940i | 0.244088 | + | 0.324270i | ||||
\(605\) | 2.21634 | − | 2.88839i | 0.0901071 | − | 0.117430i | ||||
\(606\) | −28.6938 | + | 24.9299i | −1.16561 | + | 1.01271i | ||||
\(607\) | 4.24808 | − | 7.35790i | 0.172424 | − | 0.298648i | −0.766843 | − | 0.641835i | \(-0.778173\pi\) |
0.939267 | + | 0.343187i | \(0.111507\pi\) | |||||||
\(608\) | −1.17612 | + | 5.27229i | −0.0476979 | + | 0.213820i | ||||
\(609\) | 9.02020 | − | 40.6248i | 0.365517 | − | 1.64620i | ||||
\(610\) | −0.308929 | − | 1.59154i | −0.0125082 | − | 0.0644395i | ||||
\(611\) | −9.96305 | − | 1.31166i | −0.403062 | − | 0.0530641i | ||||
\(612\) | 1.34874 | + | 11.0326i | 0.0545196 | + | 0.445967i | ||||
\(613\) | −4.34662 | − | 33.0158i | −0.175558 | − | 1.33350i | −0.821543 | − | 0.570147i | \(-0.806886\pi\) |
0.645985 | − | 0.763350i | \(-0.276447\pi\) | |||||||
\(614\) | −2.66498 | − | 43.7610i | −0.107550 | − | 1.76605i | ||||
\(615\) | 4.35194 | + | 4.35194i | 0.175487 | + | 0.175487i | ||||
\(616\) | 26.9846 | + | 29.0022i | 1.08724 | + | 1.16853i | ||||
\(617\) | 11.2487 | − | 11.2487i | 0.452854 | − | 0.452854i | −0.443446 | − | 0.896301i | \(-0.646244\pi\) |
0.896301 | + | 0.443446i | \(0.146244\pi\) | |||||||
\(618\) | −8.62179 | − | 7.63196i | −0.346819 | − | 0.307003i | ||||
\(619\) | −44.8907 | + | 5.90997i | −1.80431 | + | 0.237542i | −0.956289 | − | 0.292424i | \(-0.905538\pi\) |
−0.848019 | + | 0.529965i | \(0.822205\pi\) | |||||||
\(620\) | −0.953532 | − | 1.68743i | −0.0382948 | − | 0.0677689i | ||||
\(621\) | 0.0444370 | − | 0.337533i | 0.00178320 | − | 0.0135447i | ||||
\(622\) | −6.53799 | + | 9.68747i | −0.262149 | + | 0.388432i | ||||
\(623\) | −4.29114 | − | 13.6253i | −0.171921 | − | 0.545885i | ||||
\(624\) | 61.7204 | + | 1.14232i | 2.47080 | + | 0.0457293i | ||||
\(625\) | −21.0583 | − | 12.1580i | −0.842331 | − | 0.486320i | ||||
\(626\) | −0.0695362 | + | 0.990668i | −0.00277923 | + | 0.0395951i | ||||
\(627\) | 9.71041 | + | 7.45106i | 0.387796 | + | 0.297567i | ||||
\(628\) | −33.2839 | + | 8.58912i | −1.32817 | + | 0.342743i | ||||
\(629\) | 6.53915 | − | 15.7869i | 0.260733 | − | 0.629465i | ||||
\(630\) | −1.34533 | − | 1.85399i | −0.0535993 | − | 0.0738646i | ||||
\(631\) | 24.3208 | − | 24.3208i | 0.968198 | − | 0.968198i | −0.0313121 | − | 0.999510i | \(-0.509969\pi\) |
0.999510 | + | 0.0313121i | \(0.00996858\pi\) | |||||||
\(632\) | −35.0905 | + | 1.81124i | −1.39583 | + | 0.0720473i | ||||
\(633\) | 11.9282 | − | 44.5168i | 0.474105 | − | 1.76938i | ||||
\(634\) | 10.6279 | − | 21.3023i | 0.422089 | − | 0.846023i | ||||
\(635\) | 1.29267 | − | 0.991901i | 0.0512981 | − | 0.0393624i | ||||
\(636\) | −7.75029 | + | 3.12658i | −0.307319 | + | 0.123977i | ||||
\(637\) | −39.5891 | + | 20.5759i | −1.56858 | + | 0.815249i | ||||
\(638\) | 47.7410 | − | 9.26687i | 1.89008 | − | 0.366879i | ||||
\(639\) | 5.42479 | − | 9.39602i | 0.214602 | − | 0.371701i | ||||
\(640\) | 2.40809 | + | 0.236350i | 0.0951880 | + | 0.00934255i | ||||
\(641\) | 9.75056 | + | 16.8885i | 0.385124 | + | 0.667054i | 0.991786 | − | 0.127905i | \(-0.0408254\pi\) |
−0.606662 | + | 0.794960i | \(0.707492\pi\) | |||||||
\(642\) | −12.3873 | + | 35.9445i | −0.488886 | + | 1.41862i | ||||
\(643\) | −6.18566 | − | 14.9335i | −0.243939 | − | 0.588920i | 0.753728 | − | 0.657186i | \(-0.228253\pi\) |
−0.997667 | + | 0.0682658i | \(0.978253\pi\) | |||||||
\(644\) | 5.06791 | + | 1.89974i | 0.199704 | + | 0.0748603i | ||||
\(645\) | 0.683726 | + | 0.283209i | 0.0269217 | + | 0.0111513i | ||||
\(646\) | 2.61698 | − | 0.159370i | 0.102964 | − | 0.00627033i | ||||
\(647\) | 11.3391 | − | 42.3182i | 0.445787 | − | 1.66370i | −0.268064 | − | 0.963401i | \(-0.586384\pi\) |
0.713851 | − | 0.700298i | \(-0.246949\pi\) | |||||||
\(648\) | 12.0807 | − | 23.6635i | 0.474574 | − | 0.929590i | ||||
\(649\) | −0.321775 | − | 1.20088i | −0.0126308 | − | 0.0471386i | ||||
\(650\) | −43.7587 | − | 8.91479i | −1.71636 | − | 0.349667i | ||||
\(651\) | 2.53937 | − | 28.9164i | 0.0995256 | − | 1.13332i | ||||
\(652\) | 14.0370 | + | 14.2992i | 0.549730 | + | 0.559998i | ||||
\(653\) | 2.73095 | − | 20.7436i | 0.106870 | − | 0.811760i | −0.851122 | − | 0.524967i | \(-0.824078\pi\) |
0.957993 | − | 0.286793i | \(-0.0925891\pi\) | |||||||
\(654\) | −3.87914 | + | 55.2654i | −0.151687 | + | 2.16105i | ||||
\(655\) | 2.43970 | − | 1.40856i | 0.0953269 | − | 0.0550370i | ||||
\(656\) | −40.7246 | − | 24.5282i | −1.59003 | − | 0.957665i | ||||
\(657\) | − | 1.95105i | − | 0.0761177i | ||||||
\(658\) | −4.05816 | − | 4.28146i | −0.158204 | − | 0.166909i | ||||
\(659\) | 34.3680 | − | 14.2357i | 1.33879 | − | 0.554543i | 0.405637 | − | 0.914034i | \(-0.367050\pi\) |
0.933149 | + | 0.359491i | \(0.117050\pi\) | |||||||
\(660\) | 2.78508 | − | 4.72243i | 0.108409 | − | 0.183821i | ||||
\(661\) | 41.9433 | − | 5.52194i | 1.63140 | − | 0.214778i | 0.741509 | − | 0.670943i | \(-0.234111\pi\) |
0.889895 | + | 0.456165i | \(0.150777\pi\) | |||||||
\(662\) | −5.33771 | + | 1.78441i | −0.207456 | + | 0.0693531i | ||||
\(663\) | −7.75459 | − | 28.9405i | −0.301163 | − | 1.12396i | ||||
\(664\) | 16.5470 | − | 24.0353i | 0.642147 | − | 0.932752i | ||||
\(665\) | −0.455813 | + | 0.290176i | −0.0176757 | + | 0.0112526i | ||||
\(666\) | 29.7173 | − | 19.6582i | 1.15152 | − | 0.761741i | ||||
\(667\) | 5.27129 | − | 4.04480i | 0.204105 | − | 0.156615i | ||||
\(668\) | 1.16096 | + | 9.49659i | 0.0449190 | + | 0.367434i | ||||
\(669\) | −21.0753 | + | 27.4659i | −0.814818 | + | 1.06189i | ||||
\(670\) | −0.0375055 | − | 0.0129252i | −0.00144896 | − | 0.000499345i | ||||
\(671\) | 28.3755 | 1.09542 | ||||||||
\(672\) | 27.7218 | + | 23.3390i | 1.06939 | + | 0.900322i | ||||
\(673\) | −1.46174 | −0.0563458 | −0.0281729 | − | 0.999603i | \(-0.508969\pi\) | ||||
−0.0281729 | + | 0.999603i | \(0.508969\pi\) | |||||||
\(674\) | −6.83235 | − | 2.35458i | −0.263172 | − | 0.0906949i | ||||
\(675\) | −1.00386 | + | 1.30825i | −0.0386385 | + | 0.0503547i | ||||
\(676\) | −54.8433 | + | 6.70461i | −2.10936 | + | 0.257870i | ||||
\(677\) | −7.95807 | + | 6.10644i | −0.305853 | + | 0.234690i | −0.750271 | − | 0.661130i | \(-0.770077\pi\) |
0.444418 | + | 0.895820i | \(0.353411\pi\) | |||||||
\(678\) | 1.40187 | − | 0.927344i | 0.0538383 | − | 0.0356144i | ||||
\(679\) | 1.36751 | + | 31.5573i | 0.0524800 | + | 1.21106i | ||||
\(680\) | −0.213104 | − | 1.15490i | −0.00817218 | − | 0.0442882i | ||||
\(681\) | 1.26756 | + | 4.73060i | 0.0485730 | + | 0.181277i | ||||
\(682\) | 32.1729 | − | 10.7555i | 1.23196 | − | 0.411849i | ||||
\(683\) | 4.35097 | − | 0.572816i | 0.166485 | − | 0.0219182i | −0.0468227 | − | 0.998903i | \(-0.514910\pi\) |
0.213308 | + | 0.976985i | \(0.431576\pi\) | |||||||
\(684\) | 4.70907 | + | 2.77720i | 0.180056 | + | 0.106189i | ||||
\(685\) | −2.61272 | + | 1.08223i | −0.0998270 | + | 0.0413497i | ||||
\(686\) | −25.6593 | − | 5.25363i | −0.979676 | − | 0.200585i | ||||
\(687\) | − | 16.9452i | − | 0.646498i | ||||||
\(688\) | −5.65288 | − | 0.850913i | −0.215514 | − | 0.0324407i | ||||
\(689\) | 9.52618 | − | 5.49994i | 0.362919 | − | 0.209531i | ||||
\(690\) | 0.0524473 | − | 0.747206i | 0.00199664 | − | 0.0284457i | ||||
\(691\) | −1.44557 | + | 10.9802i | −0.0549922 | + | 0.417707i | 0.941701 | + | 0.336451i | \(0.109227\pi\) |
−0.996693 | + | 0.0812562i | \(0.974107\pi\) | |||||||
\(692\) | −24.7337 | + | 24.2802i | −0.940234 | + | 0.922993i | ||||
\(693\) | 36.3412 | − | 16.9318i | 1.38049 | − | 0.643185i | ||||
\(694\) | 21.4116 | + | 4.36211i | 0.812774 | + | 0.165584i | ||||
\(695\) | 0.476323 | + | 1.77766i | 0.0180679 | + | 0.0674305i | ||||
\(696\) | 42.3208 | − | 13.7139i | 1.60417 | − | 0.519826i | ||||
\(697\) | −5.97202 | + | 22.2879i | −0.226207 | + | 0.844214i | ||||
\(698\) | −34.0848 | + | 2.07571i | −1.29013 | + | 0.0785668i | ||||
\(699\) | 25.4356 | + | 10.5358i | 0.962064 | + | 0.398500i | ||||
\(700\) | −16.6578 | − | 20.2427i | −0.629607 | − | 0.765103i | ||||
\(701\) | −10.4345 | − | 25.1912i | −0.394107 | − | 0.951459i | −0.989035 | − | 0.147680i | \(-0.952820\pi\) |
0.594928 | − | 0.803779i | \(-0.297180\pi\) | |||||||
\(702\) | −0.977543 | + | 2.83657i | −0.0368950 | + | 0.107059i | ||||
\(703\) | −4.20244 | − | 7.27885i | −0.158498 | − | 0.274527i | ||||
\(704\) | −12.0920 | + | 40.5865i | −0.455735 | + | 1.52966i | ||||
\(705\) | −0.408211 | + | 0.707042i | −0.0153741 | + | 0.0266287i | ||||
\(706\) | 4.79548 | − | 0.930837i | 0.180480 | − | 0.0350325i | ||||
\(707\) | 28.9253 | − | 5.09058i | 1.08785 | − | 0.191451i | ||||
\(708\) | −0.425480 | − | 1.05470i | −0.0159905 | − | 0.0396379i | ||||
\(709\) | 17.7646 | − | 13.6313i | 0.667163 | − | 0.511933i | −0.218751 | − | 0.975781i | \(-0.570198\pi\) |
0.885915 | + | 0.463848i | \(0.153532\pi\) | |||||||
\(710\) | −0.511780 | + | 1.02580i | −0.0192068 | + | 0.0384975i | ||||
\(711\) | −9.20383 | + | 34.3492i | −0.345171 | + | 1.28819i | ||||
\(712\) | 10.2275 | − | 11.3407i | 0.383290 | − | 0.425012i | ||||
\(713\) | 3.27723 | − | 3.27723i | 0.122733 | − | 0.122733i | ||||
\(714\) | 7.16331 | − | 16.0636i | 0.268080 | − | 0.601164i | ||||
\(715\) | −2.76152 | + | 6.66690i | −0.103275 | + | 0.249328i | ||||
\(716\) | 12.5366 | + | 48.5807i | 0.468513 | + | 1.81555i | ||||
\(717\) | −29.6667 | − | 22.7640i | −1.10792 | − | 0.850139i | ||||
\(718\) | 2.24702 | − | 32.0128i | 0.0838579 | − | 1.19471i | ||||
\(719\) | 21.2101 | + | 12.2456i | 0.791002 | + | 0.456685i | 0.840315 | − | 0.542098i | \(-0.182370\pi\) |
−0.0493132 | + | 0.998783i | \(0.515703\pi\) | |||||||
\(720\) | 0.978833 | − | 2.24470i | 0.0364790 | − | 0.0836550i | ||||
\(721\) | 2.67255 | + | 8.48590i | 0.0995310 | + | 0.316032i | ||||
\(722\) | −14.3100 | + | 21.2034i | −0.532563 | + | 0.789109i | ||||
\(723\) | −3.99251 | + | 30.3261i | −0.148483 | + | 1.12784i | ||||
\(724\) | 14.0730 | − | 7.95236i | 0.523020 | − | 0.295547i | ||||
\(725\) | −31.9078 | + | 4.20074i | −1.18502 | + | 0.156011i | ||||
\(726\) | 43.6469 | + | 38.6360i | 1.61989 | + | 1.43392i | ||||
\(727\) | −2.73917 | + | 2.73917i | −0.101590 | + | 0.101590i | −0.756075 | − | 0.654485i | \(-0.772886\pi\) |
0.654485 | + | 0.756075i | \(0.272886\pi\) | |||||||
\(728\) | −40.4215 | − | 25.3209i | −1.49812 | − | 0.938455i | ||||
\(729\) | −17.3039 | − | 17.3039i | −0.640887 | − | 0.640887i | ||||
\(730\) | 0.0125310 | + | 0.205768i | 0.000463792 | + | 0.00761583i | ||||
\(731\) | 0.362153 | + | 2.75083i | 0.0133947 | + | 0.101743i | ||||
\(732\) | 25.7653 | − | 3.14982i | 0.952314 | − | 0.116421i | ||||
\(733\) | 25.4874 | + | 3.35548i | 0.941399 | + | 0.123938i | 0.585578 | − | 0.810616i | \(-0.300868\pi\) |
0.355821 | + | 0.934554i | \(0.384201\pi\) | |||||||
\(734\) | −0.217253 | − | 1.11924i | −0.00801895 | − | 0.0413120i | ||||
\(735\) | 0.313570 | + | 3.61126i | 0.0115662 | + | 0.133203i | ||||
\(736\) | 0.997226 | + | 5.69938i | 0.0367582 | + | 0.210082i | ||||
\(737\) | 0.347160 | − | 0.601298i | 0.0127878 | − | 0.0221491i | ||||
\(738\) | −36.3204 | + | 31.5561i | −1.33697 | + | 1.16159i | ||||
\(739\) | 1.78652 | − | 2.32824i | 0.0657183 | − | 0.0856457i | −0.759338 | − | 0.650697i | \(-0.774477\pi\) |
0.825056 | + | 0.565051i | \(0.191144\pi\) | |||||||
\(740\) | −3.00789 | + | 2.26413i | −0.110572 | + | 0.0832310i | ||||
\(741\) | −13.6153 | − | 5.63966i | −0.500172 | − | 0.207178i | ||||
\(742\) | 6.37721 | + | 1.01390i | 0.234115 | + | 0.0372216i | ||||
\(743\) | −26.4536 | − | 26.4536i | −0.970487 | − | 0.970487i | 0.0290893 | − | 0.999577i | \(-0.490739\pi\) |
−0.999577 | + | 0.0290893i | \(0.990739\pi\) | |||||||
\(744\) | 28.0195 | − | 13.3375i | 1.02725 | − | 0.488976i | ||||
\(745\) | −2.27395 | − | 0.609304i | −0.0833112 | − | 0.0223232i | ||||
\(746\) | −23.4921 | + | 7.85349i | −0.860108 | + | 0.287537i | ||||
\(747\) | −17.9781 | − | 23.4296i | −0.657786 | − | 0.857243i | ||||
\(748\) | 20.5537 | + | 0.190187i | 0.751516 | + | 0.00695391i | ||||
\(749\) | 22.5095 | − | 18.8752i | 0.822480 | − | 0.689685i | ||||
\(750\) | −4.07799 | + | 6.04245i | −0.148907 | + | 0.220639i | ||||
\(751\) | 24.9518 | + | 14.4059i | 0.910505 | + | 0.525680i | 0.880594 | − | 0.473872i | \(-0.157144\pi\) |
0.0299115 | + | 0.999553i | \(0.490477\pi\) | |||||||
\(752\) | 1.74466 | − | 6.06029i | 0.0636214 | − | 0.220996i | ||||
\(753\) | 17.5204 | − | 10.1154i | 0.638480 | − | 0.368627i | ||||
\(754\) | −52.6358 | + | 25.6550i | −1.91688 | + | 0.934301i | ||||
\(755\) | −0.985460 | + | 0.408191i | −0.0358646 | + | 0.0148556i | ||||
\(756\) | −1.49443 | + | 0.932056i | −0.0543521 | + | 0.0338986i | ||||
\(757\) | 13.3623 | − | 32.2596i | 0.485663 | − | 1.17249i | −0.471219 | − | 0.882016i | \(-0.656186\pi\) |
0.956882 | − | 0.290477i | \(-0.0938141\pi\) | |||||||
\(758\) | 31.2222 | − | 35.2715i | 1.13404 | − | 1.28112i | ||||
\(759\) | 12.6633 | + | 3.39312i | 0.459648 | + | 0.123162i | ||||
\(760\) | −0.514481 | − | 0.262653i | −0.0186622 | − | 0.00952743i | ||||
\(761\) | 29.4093 | − | 7.88021i | 1.06609 | − | 0.285657i | 0.317203 | − | 0.948358i | \(-0.397256\pi\) |
0.748885 | + | 0.662700i | \(0.230590\pi\) | |||||||
\(762\) | 14.3928 | + | 21.7577i | 0.521398 | + | 0.788197i | ||||
\(763\) | 24.5644 | − | 35.0572i | 0.889289 | − | 1.26916i | ||||
\(764\) | 21.7784 | − | 8.78570i | 0.787914 | − | 0.317856i | ||||
\(765\) | −1.17838 | − | 0.155137i | −0.0426046 | − | 0.00560900i | ||||
\(766\) | 16.3717 | + | 18.8435i | 0.591534 | + | 0.680844i | ||||
\(767\) | 0.748459 | + | 1.29637i | 0.0270253 | + | 0.0468091i | ||||
\(768\) | −6.47440 | + | 38.1954i | −0.233625 | + | 1.37826i | ||||
\(769\) | −7.33213 | −0.264403 | −0.132202 | − | 0.991223i | \(-0.542205\pi\) | ||||
−0.132202 | + | 0.991223i | \(0.542205\pi\) | |||||||
\(770\) | −3.72400 | + | 2.01912i | −0.134203 | + | 0.0727642i | ||||
\(771\) | 22.1513 | + | 53.4780i | 0.797759 | + | 1.92596i | ||||
\(772\) | −2.71779 | + | 19.2645i | −0.0978153 | + | 0.693345i | ||||
\(773\) | −0.739761 | − | 5.61904i | −0.0266073 | − | 0.202103i | 0.972978 | − | 0.230898i | \(-0.0741663\pi\) |
−0.999585 | + | 0.0287950i | \(0.990833\pi\) | |||||||
\(774\) | −2.58284 | + | 5.17696i | −0.0928382 | + | 0.186082i | ||||
\(775\) | −21.6842 | + | 5.81027i | −0.778921 | + | 0.208711i | ||||
\(776\) | −28.3346 | + | 18.3689i | −1.01715 | + | 0.659405i | ||||
\(777\) | −56.3309 | + | 2.44105i | −2.02086 | + | 0.0875721i | ||||
\(778\) | 3.74836 | + | 0.763640i | 0.134385 | + | 0.0273778i | ||||
\(779\) | 6.90912 | + | 9.00415i | 0.247545 | + | 0.322607i | ||||
\(780\) | −1.76744 | + | 6.36018i | −0.0632845 | + | 0.227731i | ||||
\(781\) | −15.9180 | − | 12.2143i | −0.569590 | − | 0.437062i | ||||
\(782\) | 2.52436 | − | 1.23039i | 0.0902709 | − | 0.0439987i | ||||
\(783\) | 2.16220i | 0.0772706i | ||||||||
\(784\) | −9.07076 | − | 26.4900i | −0.323956 | − | 0.946072i | ||||
\(785\) | − | 3.67581i | − | 0.131195i | ||||||
\(786\) | 19.7616 | + | 40.5443i | 0.704872 | + | 1.44617i | ||||
\(787\) | 29.4853 | + | 22.6248i | 1.05104 | + | 0.806488i | 0.981571 | − | 0.191096i | \(-0.0612042\pi\) |
0.0694648 | + | 0.997584i | \(0.477871\pi\) | |||||||
\(788\) | 14.6679 | + | 25.9573i | 0.522523 | + | 0.924691i | ||||
\(789\) | 28.5204 | + | 37.1685i | 1.01535 | + | 1.32323i | ||||
\(790\) | 0.750072 | − | 3.68176i | 0.0266864 | − | 0.130991i | ||||
\(791\) | −1.29750 | + | 0.0562261i | −0.0461339 | + | 0.00199917i | ||||
\(792\) | 35.3030 | + | 24.3041i | 1.25444 | + | 0.863610i | ||||
\(793\) | −33.0011 | + | 8.84263i | −1.17191 | + | 0.314011i | ||||
\(794\) | 23.6366 | + | 11.7926i | 0.838833 | + | 0.418502i | ||||
\(795\) | −0.116648 | − | 0.886028i | −0.00413707 | − | 0.0314242i | ||||
\(796\) | 4.62241 | − | 3.47942i | 0.163837 | − | 0.123325i | ||||
\(797\) | −18.3903 | − | 44.3982i | −0.651419 | − | 1.57267i | −0.810719 | − | 0.585435i | \(-0.800924\pi\) |
0.159300 | − | 0.987230i | \(-0.449076\pi\) | |||||||
\(798\) | −4.12351 | − | 7.60525i | −0.145971 | − | 0.269223i | ||||
\(799\) | −3.06085 | −0.108285 | ||||||||
\(800\) | 9.61993 | − | 26.3227i | 0.340116 | − | 0.930650i | ||||
\(801\) | −7.72773 | − | 13.3848i | −0.273046 | − | 0.472929i | ||||
\(802\) | 2.11848 | − | 1.84059i | 0.0748061 | − | 0.0649934i | ||||
\(803\) | −3.57722 | − | 0.470950i | −0.126237 | − | 0.0166195i | ||||
\(804\) | 0.248479 | − | 0.584524i | 0.00876317 | − | 0.0206146i | ||||
\(805\) | −0.332118 | + | 0.473985i | −0.0117056 | + | 0.0167058i | ||||
\(806\) | −34.0659 | + | 22.5348i | −1.19992 | + | 0.793755i | ||||
\(807\) | −45.4020 | + | 12.1654i | −1.59823 | + | 0.428243i | ||||
\(808\) | 20.3723 | + | 23.8910i | 0.716694 | + | 0.840484i | ||||
\(809\) | 11.2549 | + | 3.01573i | 0.395700 | + | 0.106027i | 0.451181 | − | 0.892432i | \(-0.351003\pi\) |
−0.0554817 | + | 0.998460i | \(0.517669\pi\) | |||||||
\(810\) | 2.12739 | + | 1.88315i | 0.0747488 | + | 0.0661672i | ||||
\(811\) | −8.55829 | + | 20.6616i | −0.300522 | + | 0.725525i | 0.699419 | + | 0.714712i | \(0.253442\pi\) |
−0.999942 | + | 0.0108135i | \(0.996558\pi\) | |||||||
\(812\) | −33.4862 | − | 7.76098i | −1.17514 | − | 0.272357i | ||||
\(813\) | 11.5468 | − | 4.78286i | 0.404965 | − | 0.167742i | ||||
\(814\) | −28.8698 | − | 59.2314i | −1.01189 | − | 2.07606i | ||||
\(815\) | −1.85564 | + | 1.07135i | −0.0650002 | + | 0.0375279i | ||||
\(816\) | 18.6841 | − | 2.10887i | 0.654075 | − | 0.0738252i | ||||
\(817\) | 1.18189 | + | 0.682362i | 0.0413490 | + | 0.0238728i | ||||
\(818\) | −41.3288 | − | 27.8924i | −1.44503 | − | 0.975236i | ||||
\(819\) | −36.9890 | + | 31.0169i | −1.29250 | + | 1.08382i | ||||
\(820\) | 3.62787 | − | 3.56135i | 0.126691 | − | 0.124368i | ||||
\(821\) | 9.63341 | + | 12.5545i | 0.336208 | + | 0.438155i | 0.930610 | − | 0.366013i | \(-0.119278\pi\) |
−0.594401 | + | 0.804169i | \(0.702611\pi\) | |||||||
\(822\) | −14.3556 | − | 42.9419i | −0.500709 | − | 1.49777i | ||||
\(823\) | −32.2480 | − | 8.64083i | −1.12409 | − | 0.301200i | −0.351555 | − | 0.936167i | \(-0.614347\pi\) |
−0.772539 | + | 0.634967i | \(0.781014\pi\) | |||||||
\(824\) | −6.36973 | + | 7.06308i | −0.221900 | + | 0.246054i | ||||
\(825\) | −44.9019 | − | 44.9019i | −1.56328 | − | 1.56328i | ||||
\(826\) | −0.137977 | + | 0.867841i | −0.00480083 | + | 0.0301961i | ||||
\(827\) | 9.63237 | + | 3.98986i | 0.334950 | + | 0.138741i | 0.543819 | − | 0.839203i | \(-0.316978\pi\) |
−0.208868 | + | 0.977944i | \(0.566978\pi\) | |||||||
\(828\) | 5.79832 | + | 0.818012i | 0.201505 | + | 0.0284279i | ||||
\(829\) | 0.651336 | − | 0.848838i | 0.0226218 | − | 0.0294813i | −0.781905 | − | 0.623397i | \(-0.785752\pi\) |
0.804527 | + | 0.593916i | \(0.202419\pi\) | |||||||
\(830\) | 2.04655 | + | 2.35554i | 0.0710369 | + | 0.0817620i | ||||
\(831\) | 18.1022 | − | 31.3539i | 0.627957 | − | 1.08765i | ||||
\(832\) | 1.41525 | − | 50.9710i | 0.0490651 | − | 1.76710i | ||||
\(833\) | −11.1373 | + | 7.78760i | −0.385885 | + | 0.269824i | ||||
\(834\) | −28.9256 | + | 5.61467i | −1.00161 | + | 0.194420i | ||||
\(835\) | −1.01432 | − | 0.133538i | −0.0351021 | − | 0.00462128i | ||||
\(836\) | 6.22863 | − | 7.96364i | 0.215422 | − | 0.275428i | ||||
\(837\) | 0.196864 | + | 1.49533i | 0.00680460 | + | 0.0516861i | ||||
\(838\) | 27.4680 | − | 1.67276i | 0.948865 | − | 0.0577845i | ||||
\(839\) | 3.97257 | + | 3.97257i | 0.137148 | + | 0.137148i | 0.772348 | − | 0.635200i | \(-0.219082\pi\) |
−0.635200 | + | 0.772348i | \(0.719082\pi\) | |||||||
\(840\) | −3.15731 | + | 2.24678i | −0.108937 | + | 0.0775211i | ||||
\(841\) | −9.33282 | + | 9.33282i | −0.321822 | + | 0.321822i | ||||
\(842\) | 18.4213 | − | 20.8104i | 0.634839 | − | 0.717175i | ||||
\(843\) | −51.7082 | + | 6.80752i | −1.78093 | + | 0.234463i | ||||
\(844\) | −36.6788 | − | 10.1927i | −1.26254 | − | 0.350848i | ||||
\(845\) | 0.771190 | − | 5.85777i | 0.0265297 | − | 0.201513i | ||||
\(846\) | −5.29036 | − | 3.57042i | −0.181886 | − | 0.122754i | ||||
\(847\) | −13.5295 | − | 42.9590i | −0.464879 | − | 1.47609i | ||||
\(848\) | 2.52325 | + | 6.42547i | 0.0866488 | + | 0.220652i | ||||
\(849\) | 38.5653 | + | 22.2657i | 1.32356 | + | 0.764156i | ||||
\(850\) | −13.5689 | − | 0.952420i | −0.465411 | − | 0.0326677i | ||||
\(851\) | −7.14217 | − | 5.48038i | −0.244830 | − | 0.187865i | ||||
\(852\) | −15.8096 | − | 9.32378i | −0.541628 | − | 0.319428i | ||||
\(853\) | −9.70512 | + | 23.4302i | −0.332297 | + | 0.802236i | 0.666112 | + | 0.745852i | \(0.267957\pi\) |
−0.998409 | + | 0.0563845i | \(0.982043\pi\) | |||||||
\(854\) | −18.3174 | − | 8.16838i | −0.626810 | − | 0.279516i | ||||
\(855\) | −0.413384 | + | 0.413384i | −0.0141374 | + | 0.0141374i | ||||
\(856\) | 29.5947 | + | 10.5063i | 1.01153 | + | 0.359099i | ||||
\(857\) | 0.666614 | − | 2.48784i | 0.0227711 | − | 0.0849829i | −0.953605 | − | 0.301060i | \(-0.902660\pi\) |
0.976376 | + | 0.216077i | \(0.0693262\pi\) | |||||||
\(858\) | −103.384 | − | 51.5791i | −3.52946 | − | 1.76088i | ||||
\(859\) | −32.2686 | + | 24.7606i | −1.10099 | + | 0.844820i | −0.988856 | − | 0.148873i | \(-0.952435\pi\) |
−0.112135 | + | 0.993693i | \(0.535769\pi\) | |||||||
\(860\) | 0.239150 | − | 0.562579i | 0.00815495 | − | 0.0191838i | ||||
\(861\) | 74.9850 | − | 13.1967i | 2.55548 | − | 0.449741i | ||||
\(862\) | 2.79168 | + | 14.3822i | 0.0950850 | + | 0.489858i | ||||
\(863\) | −18.3711 | + | 31.8197i | −0.625360 | + | 1.08316i | 0.363111 | + | 0.931746i | \(0.381715\pi\) |
−0.988471 | + | 0.151410i | \(0.951619\pi\) | |||||||
\(864\) | −1.66898 | − | 0.871611i | −0.0567800 | − | 0.0296528i | ||||
\(865\) | −1.85315 | − | 3.20976i | −0.0630091 | − | 0.109135i | ||||
\(866\) | 36.7637 | + | 12.6696i | 1.24928 | + | 0.430530i | ||||
\(867\) | 12.2595 | + | 29.5970i | 0.416353 | + | 1.00517i | ||||
\(868\) | −23.8650 | − | 2.31847i | −0.810029 | − | 0.0786940i | ||||
\(869\) | 60.7570 | + | 25.1664i | 2.06104 | + | 0.853711i | ||||
\(870\) | 0.289174 | + | 4.74845i | 0.00980390 | + | 0.160988i | ||||
\(871\) | −0.216370 | + | 0.807505i | −0.00733143 | + | 0.0273613i | ||||
\(872\) | 45.6184 | + | 3.62648i | 1.54483 | + | 0.122808i | ||||
\(873\) | 8.84513 | + | 33.0105i | 0.299362 | + | 1.11724i | ||||
\(874\) | 0.275742 | − | 1.35349i | 0.00932710 | − | 0.0457825i | ||||
\(875\) | 5.10562 | − | 2.37876i | 0.172602 | − | 0.0804169i | ||||
\(876\) | −3.30044 | − | 0.0305396i | −0.111512 | − | 0.00103184i | ||||
\(877\) | 3.69795 | − | 28.0887i | 0.124871 | − | 0.948488i | −0.808228 | − | 0.588869i | \(-0.799573\pi\) |
0.933099 | − | 0.359619i | \(-0.117093\pi\) | |||||||
\(878\) | −43.5626 | − | 3.05771i | −1.47017 | − | 0.103193i | ||||
\(879\) | 6.19925 | − | 3.57914i | 0.209096 | − | 0.120721i | ||||
\(880\) | −3.87934 | − | 2.33651i | −0.130773 | − | 0.0787636i | ||||
\(881\) | − | 33.0378i | − | 1.11307i | −0.830824 | − | 0.556535i | \(-0.812130\pi\) | ||
0.830824 | − | 0.556535i | \(-0.187870\pi\) | |||||||
\(882\) | −28.3337 | + | 0.468618i | −0.954047 | + | 0.0157792i | ||||
\(883\) | 0.990869 | − | 0.410432i | 0.0333454 | − | 0.0138121i | −0.365948 | − | 0.930635i | \(-0.619255\pi\) |
0.399294 | + | 0.916823i | \(0.369255\pi\) | |||||||
\(884\) | −23.9635 | + | 6.18394i | −0.805980 | + | 0.207988i | ||||
\(885\) | 0.120575 | − | 0.0158740i | 0.00405308 | − | 0.000533598i | ||||
\(886\) | 8.05994 | + | 24.1097i | 0.270779 | + | 0.809982i | ||||
\(887\) | 6.99046 | + | 26.0887i | 0.234717 | + | 0.875974i | 0.978276 | + | 0.207305i | \(0.0664692\pi\) |
−0.743560 | + | 0.668670i | \(0.766864\pi\) | |||||||
\(888\) | −32.7892 | − | 50.5782i | −1.10033 | − | 1.69729i | ||||
\(889\) | −0.872657 | − | 20.1379i | −0.0292680 | − | 0.675403i | ||||
\(890\) | 0.900975 | + | 1.36200i | 0.0302007 | + | 0.0456544i | ||||
\(891\) | −39.4506 | + | 30.2715i | −1.32164 | + | 1.01413i | ||||
\(892\) | 22.5251 | + | 17.6177i | 0.754197 | + | 0.589883i | ||||
\(893\) | −0.916515 | + | 1.19443i | −0.0306700 | + | 0.0399699i | ||||
\(894\) | 12.2806 | − | 35.6350i | 0.410725 | − | 1.19181i | ||||
\(895\) | −5.36516 | −0.179337 | ||||||||
\(896\) | 19.4894 | − | 22.7192i | 0.651095 | − | 0.758996i | ||||
\(897\) | −15.7850 | −0.527046 | ||||||||
\(898\) | 3.91006 | − | 11.3459i | 0.130480 | − | 0.378619i | ||||
\(899\) | −17.9192 | + | 23.3527i | −0.597637 | + | 0.778856i | ||||
\(900\) | −22.3415 | − | 17.4740i | −0.744717 | − | 0.582468i | ||||
\(901\) | 2.65811 | − | 2.03964i | 0.0885545 | − | 0.0679503i | ||||
\(902\) | 49.0904 | + | 74.2099i | 1.63453 | + | 2.47092i | ||||
\(903\) | 7.72300 | − | 4.91656i | 0.257005 | − | 0.163613i | ||||
\(904\) | −0.755252 | − | 1.16500i | −0.0251193 | − | 0.0387473i | ||||
\(905\) | 0.447380 | + | 1.66965i | 0.0148714 | + | 0.0555009i | ||||
\(906\) | −5.41461 | − | 16.1967i | −0.179888 | − | 0.538100i | ||||
\(907\) | −39.0013 | + | 5.13462i | −1.29502 | + | 0.170492i | −0.746353 | − | 0.665551i | \(-0.768197\pi\) |
−0.548664 | + | 0.836043i | \(0.684863\pi\) | |||||||
\(908\) | 3.91706 | − | 1.01082i | 0.129992 | − | 0.0335453i | ||||
\(909\) | 29.3574 | − | 12.1602i | 0.973723 | − | 0.403329i | ||||
\(910\) | 3.70185 | − | 3.50878i | 0.122715 | − | 0.116315i | ||||
\(911\) | − | 11.6967i | − | 0.387528i | −0.981048 | − | 0.193764i | \(-0.937930\pi\) | ||
0.981048 | − | 0.193764i | \(-0.0620695\pi\) | |||||||
\(912\) | 4.77168 | − | 7.92251i | 0.158006 | − | 0.262341i | ||||
\(913\) | −47.2973 | + | 27.3071i | −1.56531 | + | 0.903734i | ||||
\(914\) | 54.0085 | + | 3.79092i | 1.78644 | + | 0.125393i | ||||
\(915\) | −0.362304 | + | 2.75198i | −0.0119774 | + | 0.0909775i | ||||
\(916\) | −13.9963 | − | 0.129511i | −0.462452 | − | 0.00427915i | ||||
\(917\) | 3.04872 | − | 34.7166i | 0.100678 | − | 1.14644i | ||||
\(918\) | −0.182430 | + | 0.895468i | −0.00602110 | + | 0.0295548i | ||||
\(919\) | 7.37588 | + | 27.5271i | 0.243308 | + | 0.908037i | 0.974226 | + | 0.225572i | \(0.0724251\pi\) |
−0.730919 | + | 0.682464i | \(0.760908\pi\) | |||||||
\(920\) | −0.616776 | − | 0.0490312i | −0.0203345 | − | 0.00161651i | ||||
\(921\) | −19.4274 | + | 72.5040i | −0.640154 | + | 2.38909i | ||||
\(922\) | 1.79388 | + | 29.4569i | 0.0590783 | + | 0.970110i | ||||
\(923\) | 22.3192 | + | 9.24493i | 0.734646 | + | 0.304300i | ||||
\(924\) | −28.0733 | − | 61.7407i | −0.923545 | − | 2.03112i | ||||
\(925\) | 16.6871 | + | 40.2862i | 0.548668 | + | 1.32460i | ||||
\(926\) | −27.3216 | − | 9.41563i | −0.897844 | − | 0.309417i | ||||
\(927\) | 4.81288 | + | 8.33615i | 0.158076 | + | 0.273795i | ||||
\(928\) | −11.0040 | − | 35.0609i | −0.361223 | − | 1.15093i | ||||
\(929\) | −27.9344 | + | 48.3838i | −0.916498 | + | 1.58742i | −0.111804 | + | 0.993730i | \(0.535663\pi\) |
−0.804693 | + | 0.593691i | \(0.797670\pi\) | |||||||
\(930\) | 0.632322 | + | 3.25759i | 0.0207347 | + | 0.106821i | ||||
\(931\) | −0.295930 | + | 6.67793i | −0.00969872 | + | 0.218860i | ||||
\(932\) | 8.89674 | − | 20.9288i | 0.291422 | − | 0.685545i | ||||
\(933\) | 15.8748 | − | 12.1811i | 0.519717 | − | 0.398793i | ||||
\(934\) | −54.1217 | − | 27.0019i | −1.77092 | − | 0.883528i | ||||
\(935\) | −0.568883 | + | 2.12310i | −0.0186045 | + | 0.0694328i | ||||
\(936\) | −48.6319 | − | 17.2647i | −1.58958 | − | 0.564313i | ||||
\(937\) | 2.71725 | − | 2.71725i | 0.0887688 | − | 0.0887688i | −0.661328 | − | 0.750097i | \(-0.730007\pi\) |
0.750097 | + | 0.661328i | \(0.230007\pi\) | |||||||
\(938\) | −0.397199 | + | 0.288224i | −0.0129690 | + | 0.00941086i | ||||
\(939\) | 0.650673 | − | 1.57086i | 0.0212339 | − | 0.0512632i | ||||
\(940\) | 0.580881 | + | 0.342577i | 0.0189463 | + | 0.0111736i | ||||
\(941\) | −27.8415 | − | 21.3636i | −0.907608 | − | 0.696432i | 0.0455315 | − | 0.998963i | \(-0.485502\pi\) |
−0.953140 | + | 0.302531i | \(0.902169\pi\) | |||||||
\(942\) | 58.7076 | + | 4.12076i | 1.91280 | + | 0.134262i | ||||
\(943\) | 10.5278 | + | 6.07823i | 0.342833 | + | 0.197934i | ||||
\(944\) | −0.874409 | + | 0.343376i | −0.0284596 | + | 0.0111759i | ||||
\(945\) | −0.0565766 | − | 0.179642i | −0.00184044 | − | 0.00584376i | ||||
\(946\) | 8.86842 | + | 5.98522i | 0.288337 | + | 0.194596i | ||||
\(947\) | 4.76127 | − | 36.1654i | 0.154720 | − | 1.17522i | −0.721187 | − | 0.692740i | \(-0.756403\pi\) |
0.875908 | − | 0.482478i | \(-0.160263\pi\) | |||||||
\(948\) | 57.9618 | + | 16.1071i | 1.88251 | + | 0.523134i | ||||
\(949\) | 4.30713 | − | 0.567044i | 0.139815 | − | 0.0184070i | ||||
\(950\) | −4.43463 | + | 5.00978i | −0.143878 | + | 0.162539i | ||||
\(951\) | −28.8207 | + | 28.8207i | −0.934577 | + | 0.934577i | ||||
\(952\) | −13.2134 | − | 6.03951i | −0.428249 | − | 0.195742i | ||||
\(953\) | 3.07164 | + | 3.07164i | 0.0995002 | + | 0.0995002i | 0.755105 | − | 0.655604i | \(-0.227586\pi\) |
−0.655604 | + | 0.755105i | \(0.727586\pi\) | |||||||
\(954\) | 6.97347 | − | 0.424674i | 0.225774 | − | 0.0137493i | ||||
\(955\) | 0.327781 | + | 2.48974i | 0.0106067 | + | 0.0805662i | ||||
\(956\) | −19.0294 | + | 24.3301i | −0.615453 | + | 0.786890i | ||||
\(957\) | −82.5503 | − | 10.8680i | −2.66847 | − | 0.351311i | ||||
\(958\) | −18.8098 | + | 3.65113i | −0.607719 | + | 0.117963i | ||||
\(959\) | −7.58322 | + | 34.1529i | −0.244875 | + | 1.10286i | ||||
\(960\) | −3.78186 | − | 1.69095i | −0.122059 | − | 0.0545753i | ||||
\(961\) | 5.23373 | − | 9.06508i | 0.168830 | − | 0.292422i | ||||
\(962\) | 52.0343 | + | 59.8904i | 1.67765 | + | 1.93094i | ||||
\(963\) | 19.3482 | − | 25.2151i | 0.623488 | − | 0.812546i | ||||
\(964\) | 25.0182 | + | 3.52950i | 0.805782 | + | 0.113678i | ||||
\(965\) | −1.92208 | − | 0.796152i | −0.0618740 | − | 0.0256290i | ||||
\(966\) | −7.19785 | − | 5.83573i | −0.231587 | − | 0.187762i | ||||
\(967\) | 5.66948 | + | 5.66948i | 0.182318 | + | 0.182318i | 0.792365 | − | 0.610047i | \(-0.208849\pi\) |
−0.610047 | + | 0.792365i | \(0.708849\pi\) | |||||||
\(968\) | 32.2461 | − | 35.7561i | 1.03643 | − | 1.14924i | ||||
\(969\) | −4.33586 | − | 1.16179i | −0.139288 | − | 0.0373221i | ||||
\(970\) | −1.14487 | − | 3.42465i | −0.0367596 | − | 0.109959i | ||||
\(971\) | 10.5473 | + | 13.7455i | 0.338479 | + | 0.441115i | 0.931318 | − | 0.364206i | \(-0.118660\pi\) |
−0.592839 | + | 0.805321i | \(0.701993\pi\) | |||||||
\(972\) | −31.0362 | + | 30.4671i | −0.995487 | + | 0.977233i | ||||
\(973\) | 21.3914 | + | 7.79373i | 0.685777 | + | 0.249856i | ||||
\(974\) | 6.62737 | + | 4.47275i | 0.212355 | + | 0.143316i | ||||
\(975\) | 66.2145 | + | 38.2289i | 2.12056 | + | 1.22431i | ||||
\(976\) | −2.40476 | − | 21.3057i | −0.0769746 | − | 0.681978i | ||||
\(977\) | 31.4028 | − | 18.1304i | 1.00466 | − | 0.580043i | 0.0950390 | − | 0.995474i | \(-0.469702\pi\) |
0.909625 | + | 0.415431i | \(0.136369\pi\) | |||||||
\(978\) | −15.0307 | − | 30.8381i | −0.480629 | − | 0.986093i | ||||
\(979\) | −26.4062 | + | 10.9378i | −0.843945 | + | 0.349574i | ||||
\(980\) | 2.98522 | − | 0.231402i | 0.0953593 | − | 0.00739185i | ||||
\(981\) | 17.7236 | − | 42.7886i | 0.565872 | − | 1.36614i | ||||
\(982\) | −30.8716 | − | 27.3274i | −0.985153 | − | 0.872052i | ||||
\(983\) | −3.68639 | − | 0.987766i | −0.117578 | − | 0.0315048i | 0.199550 | − | 0.979888i | \(-0.436052\pi\) |
−0.317128 | + | 0.948383i | \(0.602719\pi\) | |||||||
\(984\) | 52.8125 | + | 61.9344i | 1.68360 | + | 1.97440i | ||||
\(985\) | −3.07962 | + | 0.825181i | −0.0981247 | + | 0.0262924i | ||||
\(986\) | −14.8753 | + | 9.84011i | −0.473726 | + | 0.313373i | ||||
\(987\) | 4.26539 | + | 9.15495i | 0.135769 | + | 0.291405i | ||||
\(988\) | −4.76230 | + | 11.2029i | −0.151509 | + | 0.356411i | ||||
\(989\) | 1.44926 | + | 0.190798i | 0.0460836 | + | 0.00606703i | ||||
\(990\) | −3.45981 | + | 3.00597i | −0.109960 | + | 0.0955359i | ||||
\(991\) | 3.35414 | + | 5.80955i | 0.106548 | + | 0.184546i | 0.914370 | − | 0.404881i | \(-0.132687\pi\) |
−0.807822 | + | 0.589427i | \(0.799354\pi\) | |||||||
\(992\) | −10.8023 | − | 23.2455i | −0.342974 | − | 0.738044i | ||||
\(993\) | 9.63580 | 0.305783 | ||||||||
\(994\) | 6.75956 | + | 12.4671i | 0.214400 | + | 0.395431i | ||||
\(995\) | 0.236759 | + | 0.571586i | 0.00750576 | + | 0.0181205i | ||||
\(996\) | −39.9154 | + | 30.0455i | −1.26477 | + | 0.952028i | ||||
\(997\) | −1.92660 | − | 14.6340i | −0.0610161 | − | 0.463463i | −0.994491 | − | 0.104821i | \(-0.966573\pi\) |
0.933475 | − | 0.358642i | \(-0.116760\pi\) | |||||||
\(998\) | −8.03308 | − | 4.00779i | −0.254283 | − | 0.126864i | ||||
\(999\) | 2.82978 | − | 0.758237i | 0.0895302 | − | 0.0239896i |
(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 | 224.2.bd.a.37.12 | ✓ | 240 | |
4.3 | odd | 2 | 896.2.bh.a.625.6 | 240 | |||
7.4 | even | 3 | inner | 224.2.bd.a.165.10 | yes | 240 | |
28.11 | odd | 6 | 896.2.bh.a.753.25 | 240 | |||
32.13 | even | 8 | inner | 224.2.bd.a.205.10 | yes | 240 | |
32.19 | odd | 8 | 896.2.bh.a.401.25 | 240 | |||
224.109 | even | 24 | inner | 224.2.bd.a.109.12 | yes | 240 | |
224.179 | odd | 24 | 896.2.bh.a.529.6 | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
224.2.bd.a.37.12 | ✓ | 240 | 1.1 | even | 1 | trivial | |
224.2.bd.a.109.12 | yes | 240 | 224.109 | even | 24 | inner | |
224.2.bd.a.165.10 | yes | 240 | 7.4 | even | 3 | inner | |
224.2.bd.a.205.10 | yes | 240 | 32.13 | even | 8 | inner | |
896.2.bh.a.401.25 | 240 | 32.19 | odd | 8 | |||
896.2.bh.a.529.6 | 240 | 224.179 | odd | 24 | |||
896.2.bh.a.625.6 | 240 | 4.3 | odd | 2 | |||
896.2.bh.a.753.25 | 240 | 28.11 | odd | 6 |