Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [168,2,Mod(5,168)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(168, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 3, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("168.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 168 = 2^{3} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 168.ba (of order \(6\), degree \(2\), 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: | \(1.34148675396\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 101.6 | ||
Character | \(\chi\) | \(=\) | 168.101 |
Dual form | 168.2.ba.c.5.6 |
$q$-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 \(\left(\mathbb{Z}/168\mathbb{Z}\right)^\times\).
\(n\) | \(73\) | \(85\) | \(113\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.07638 | + | 0.917276i | −0.761119 | + | 0.648612i | ||||
\(3\) | 1.52791 | − | 0.815778i | 0.882139 | − | 0.470990i | ||||
\(4\) | 0.317209 | − | 1.97468i | 0.158605 | − | 0.987342i | ||||
\(5\) | −0.461663 | + | 0.266541i | −0.206462 | + | 0.119201i | −0.599666 | − | 0.800250i | \(-0.704700\pi\) |
0.393204 | + | 0.919451i | \(0.371367\pi\) | |||||||
\(6\) | −0.896325 | + | 2.27961i | −0.365923 | + | 0.930645i | ||||
\(7\) | 0.489180 | + | 2.60014i | 0.184893 | + | 0.982759i | ||||
\(8\) | 1.46989 | + | 2.41649i | 0.519685 | + | 0.854358i | ||||
\(9\) | 1.66901 | − | 2.49287i | 0.556337 | − | 0.830956i | ||||
\(10\) | 0.252435 | − | 0.710374i | 0.0798270 | − | 0.224640i | ||||
\(11\) | 2.28733 | − | 3.96177i | 0.689656 | − | 1.19452i | −0.282293 | − | 0.959328i | \(-0.591095\pi\) |
0.971949 | − | 0.235191i | \(-0.0755716\pi\) | |||||||
\(12\) | −1.12624 | − | 3.27591i | −0.325117 | − | 0.945674i | ||||
\(13\) | 4.97924 | 1.38099 | 0.690496 | − | 0.723336i | \(-0.257392\pi\) | ||||
0.690496 | + | 0.723336i | \(0.257392\pi\) | |||||||
\(14\) | −2.91159 | − | 2.35003i | −0.778155 | − | 0.628073i | ||||
\(15\) | −0.487941 | + | 0.783866i | −0.125986 | + | 0.202393i | ||||
\(16\) | −3.79876 | − | 1.25278i | −0.949689 | − | 0.313194i | ||||
\(17\) | −2.16139 | + | 3.74363i | −0.524213 | + | 0.907964i | 0.475389 | + | 0.879775i | \(0.342307\pi\) |
−0.999603 | + | 0.0281884i | \(0.991026\pi\) | |||||||
\(18\) | 0.490150 | + | 4.21423i | 0.115529 | + | 0.993304i | ||||
\(19\) | −0.921087 | − | 1.59537i | −0.211312 | − | 0.366003i | 0.740814 | − | 0.671711i | \(-0.234440\pi\) |
−0.952125 | + | 0.305708i | \(0.901107\pi\) | |||||||
\(20\) | 0.379891 | + | 0.996188i | 0.0849463 | + | 0.222754i | ||||
\(21\) | 2.86856 | + | 3.57371i | 0.625970 | + | 0.779847i | ||||
\(22\) | 1.17199 | + | 6.36250i | 0.249869 | + | 1.35649i | ||||
\(23\) | 0.103387 | − | 0.0596907i | 0.0215577 | − | 0.0124464i | −0.489182 | − | 0.872182i | \(-0.662705\pi\) |
0.510740 | + | 0.859735i | \(0.329371\pi\) | |||||||
\(24\) | 4.21718 | + | 2.49307i | 0.860828 | + | 0.508896i | ||||
\(25\) | −2.35791 | + | 4.08402i | −0.471582 | + | 0.816804i | ||||
\(26\) | −5.35958 | + | 4.56734i | −1.05110 | + | 0.895729i | ||||
\(27\) | 0.516471 | − | 5.17042i | 0.0993949 | − | 0.995048i | ||||
\(28\) | 5.28962 | − | 0.141190i | 0.999644 | − | 0.0266824i | ||||
\(29\) | −7.74542 | −1.43829 | −0.719144 | − | 0.694861i | \(-0.755466\pi\) | ||||
−0.719144 | + | 0.694861i | \(0.755466\pi\) | |||||||
\(30\) | −0.193809 | − | 1.29132i | −0.0353845 | − | 0.235761i | ||||
\(31\) | −1.93668 | − | 1.11814i | −0.347838 | − | 0.200825i | 0.315894 | − | 0.948794i | \(-0.397695\pi\) |
−0.663733 | + | 0.747970i | \(0.731029\pi\) | |||||||
\(32\) | 5.23807 | − | 2.13604i | 0.925968 | − | 0.377602i | ||||
\(33\) | 0.262906 | − | 7.91918i | 0.0457660 | − | 1.37855i | ||||
\(34\) | −1.10746 | − | 6.01218i | −0.189928 | − | 1.03108i | ||||
\(35\) | −0.918880 | − | 1.07000i | −0.155319 | − | 0.180863i | ||||
\(36\) | −4.39320 | − | 4.08653i | −0.732201 | − | 0.681089i | ||||
\(37\) | −7.02261 | + | 4.05451i | −1.15451 | + | 0.666557i | −0.949982 | − | 0.312304i | \(-0.898899\pi\) |
−0.204528 | + | 0.978861i | \(0.565566\pi\) | |||||||
\(38\) | 2.45484 | + | 0.872340i | 0.398227 | + | 0.141512i | ||||
\(39\) | 7.60783 | − | 4.06195i | 1.21823 | − | 0.650433i | ||||
\(40\) | −1.32269 | − | 0.723817i | −0.209135 | − | 0.114445i | ||||
\(41\) | 2.60914 | 0.407479 | 0.203740 | − | 0.979025i | \(-0.434690\pi\) | ||||
0.203740 | + | 0.979025i | \(0.434690\pi\) | |||||||
\(42\) | −6.36575 | − | 1.21543i | −0.982256 | − | 0.187545i | ||||
\(43\) | − | 1.87217i | − | 0.285503i | −0.989759 | − | 0.142752i | \(-0.954405\pi\) | ||
0.989759 | − | 0.142752i | \(-0.0455950\pi\) | |||||||
\(44\) | −7.09769 | − | 5.77346i | −1.07002 | − | 0.870383i | ||||
\(45\) | −0.106069 | + | 1.59573i | −0.0158118 | + | 0.237877i | ||||
\(46\) | −0.0565317 | + | 0.159085i | −0.00833515 | + | 0.0234558i | ||||
\(47\) | −2.91482 | − | 5.04861i | −0.425170 | − | 0.736415i | 0.571267 | − | 0.820764i | \(-0.306452\pi\) |
−0.996436 | + | 0.0843492i | \(0.973119\pi\) | |||||||
\(48\) | −6.82614 | + | 1.18482i | −0.985269 | + | 0.171013i | ||||
\(49\) | −6.52141 | + | 2.54387i | −0.931629 | + | 0.363410i | ||||
\(50\) | −1.20816 | − | 6.55884i | −0.170859 | − | 0.927559i | ||||
\(51\) | −0.248430 | + | 7.48314i | −0.0347871 | + | 1.04785i | ||||
\(52\) | 1.57946 | − | 9.83243i | 0.219032 | − | 1.36351i | ||||
\(53\) | −2.29287 | + | 3.97137i | −0.314950 | + | 0.545510i | −0.979427 | − | 0.201799i | \(-0.935321\pi\) |
0.664476 | + | 0.747309i | \(0.268655\pi\) | |||||||
\(54\) | 4.18678 | + | 6.03911i | 0.569749 | + | 0.821819i | ||||
\(55\) | 2.43867i | 0.328830i | ||||||||
\(56\) | −5.56416 | + | 5.00402i | −0.743542 | + | 0.668690i | ||||
\(57\) | −2.70880 | − | 1.68618i | −0.358790 | − | 0.223339i | ||||
\(58\) | 8.33705 | − | 7.10469i | 1.09471 | − | 0.932891i | ||||
\(59\) | 5.71492 | + | 3.29951i | 0.744019 | + | 0.429559i | 0.823529 | − | 0.567275i | \(-0.192002\pi\) |
−0.0795100 | + | 0.996834i | \(0.525336\pi\) | |||||||
\(60\) | 1.39311 | + | 1.21218i | 0.179849 | + | 0.156492i | ||||
\(61\) | −1.07564 | − | 1.86306i | −0.137722 | − | 0.238541i | 0.788912 | − | 0.614506i | \(-0.210645\pi\) |
−0.926634 | + | 0.375965i | \(0.877311\pi\) | |||||||
\(62\) | 3.11026 | − | 0.572919i | 0.395004 | − | 0.0727608i | ||||
\(63\) | 7.29824 | + | 3.12020i | 0.919492 | + | 0.393108i | ||||
\(64\) | −3.67884 | + | 7.10395i | −0.459855 | + | 0.887994i | ||||
\(65\) | −2.29873 | + | 1.32717i | −0.285123 | + | 0.164616i | ||||
\(66\) | 6.98109 | + | 8.76524i | 0.859312 | + | 1.07893i | ||||
\(67\) | −10.4812 | − | 6.05131i | −1.28048 | − | 0.739285i | −0.303544 | − | 0.952817i | \(-0.598170\pi\) |
−0.976936 | + | 0.213532i | \(0.931503\pi\) | |||||||
\(68\) | 6.70688 | + | 5.45557i | 0.813328 | + | 0.661585i | ||||
\(69\) | 0.109272 | − | 0.175543i | 0.0131548 | − | 0.0211329i | ||||
\(70\) | 1.97055 | + | 0.308865i | 0.235526 | + | 0.0369164i | ||||
\(71\) | − | 6.20627i | − | 0.736549i | −0.929717 | − | 0.368275i | \(-0.879949\pi\) | ||
0.929717 | − | 0.368275i | \(-0.120051\pi\) | |||||||
\(72\) | 8.47726 | + | 0.368901i | 0.999054 | + | 0.0434755i | ||||
\(73\) | 8.35520 | + | 4.82388i | 0.977902 | + | 0.564592i | 0.901636 | − | 0.432496i | \(-0.142367\pi\) |
0.0762659 | + | 0.997088i | \(0.475700\pi\) | |||||||
\(74\) | 3.83993 | − | 10.8059i | 0.446383 | − | 1.25616i | ||||
\(75\) | −0.271018 | + | 8.16355i | −0.0312945 | + | 0.942645i | ||||
\(76\) | −3.44253 | + | 1.31279i | −0.394885 | + | 0.150587i | ||||
\(77\) | 11.4201 | + | 4.00935i | 1.30144 | + | 0.456908i | ||||
\(78\) | −4.46302 | + | 11.3507i | −0.505337 | + | 1.28521i | ||||
\(79\) | −0.0228792 | − | 0.0396280i | −0.00257411 | − | 0.00445849i | 0.864735 | − | 0.502228i | \(-0.167486\pi\) |
−0.867310 | + | 0.497769i | \(0.834153\pi\) | |||||||
\(80\) | 2.08766 | − | 0.434165i | 0.233408 | − | 0.0485412i | ||||
\(81\) | −3.42880 | − | 8.32126i | −0.380977 | − | 0.924584i | ||||
\(82\) | −2.80844 | + | 2.39330i | −0.310140 | + | 0.264296i | ||||
\(83\) | − | 3.86459i | − | 0.424194i | −0.977249 | − | 0.212097i | \(-0.931971\pi\) | ||
0.977249 | − | 0.212097i | \(-0.0680292\pi\) | |||||||
\(84\) | 7.96688 | − | 4.53088i | 0.869258 | − | 0.494360i | ||||
\(85\) | − | 2.30440i | − | 0.249947i | ||||||
\(86\) | 1.71730 | + | 2.01518i | 0.185181 | + | 0.217302i | ||||
\(87\) | −11.8343 | + | 6.31854i | −1.26877 | + | 0.677419i | ||||
\(88\) | 12.9357 | − | 0.296068i | 1.37895 | − | 0.0315610i | ||||
\(89\) | 8.23362 | + | 14.2610i | 0.872762 | + | 1.51167i | 0.859128 | + | 0.511761i | \(0.171007\pi\) |
0.0136336 | + | 0.999907i | \(0.495660\pi\) | |||||||
\(90\) | −1.34955 | − | 1.81491i | −0.142255 | − | 0.191308i | ||||
\(91\) | 2.43575 | + | 12.9467i | 0.255335 | + | 1.35718i | ||||
\(92\) | −0.0850749 | − | 0.223092i | −0.00886967 | − | 0.0232589i | ||||
\(93\) | −3.87123 | − | 0.128520i | −0.401428 | − | 0.0133269i | ||||
\(94\) | 7.76843 | + | 2.76056i | 0.801253 | + | 0.284730i | ||||
\(95\) | 0.850463 | + | 0.491015i | 0.0872557 | + | 0.0503771i | ||||
\(96\) | 6.26075 | − | 7.53677i | 0.638985 | − | 0.769219i | ||||
\(97\) | − | 7.18828i | − | 0.729859i | −0.931035 | − | 0.364930i | \(-0.881093\pi\) | ||
0.931035 | − | 0.364930i | \(-0.118907\pi\) | |||||||
\(98\) | 4.68611 | − | 8.72011i | 0.473369 | − | 0.880864i | ||||
\(99\) | −6.05860 | − | 12.3143i | −0.608912 | − | 1.23763i | ||||
\(100\) | 7.31670 | + | 5.95162i | 0.731670 | + | 0.595162i | ||||
\(101\) | 3.33419 | + | 1.92499i | 0.331764 | + | 0.191544i | 0.656624 | − | 0.754218i | \(-0.271984\pi\) |
−0.324860 | + | 0.945762i | \(0.605317\pi\) | |||||||
\(102\) | −6.59670 | − | 8.28262i | −0.653170 | − | 0.820101i | ||||
\(103\) | −4.61020 | + | 2.66170i | −0.454256 | + | 0.262265i | −0.709626 | − | 0.704578i | \(-0.751136\pi\) |
0.255370 | + | 0.966843i | \(0.417803\pi\) | |||||||
\(104\) | 7.31894 | + | 12.0323i | 0.717682 | + | 1.17986i | ||||
\(105\) | −2.27685 | − | 0.885260i | −0.222198 | − | 0.0863926i | ||||
\(106\) | −1.17483 | − | 6.37793i | −0.114110 | − | 0.619479i | ||||
\(107\) | 4.60634 | + | 7.97842i | 0.445312 | + | 0.771303i | 0.998074 | − | 0.0620363i | \(-0.0197594\pi\) |
−0.552762 | + | 0.833339i | \(0.686426\pi\) | |||||||
\(108\) | −10.0461 | − | 2.65997i | −0.966688 | − | 0.255956i | ||||
\(109\) | −4.24194 | − | 2.44909i | −0.406304 | − | 0.234580i | 0.282896 | − | 0.959151i | \(-0.408705\pi\) |
−0.689201 | + | 0.724571i | \(0.742038\pi\) | |||||||
\(110\) | −2.23694 | − | 2.62495i | −0.213283 | − | 0.250279i | ||||
\(111\) | −7.42233 | + | 11.9238i | −0.704497 | + | 1.13176i | ||||
\(112\) | 1.39911 | − | 10.4901i | 0.132203 | − | 0.991223i | ||||
\(113\) | − | 3.87615i | − | 0.364637i | −0.983240 | − | 0.182319i | \(-0.941640\pi\) | ||
0.983240 | − | 0.182319i | \(-0.0583602\pi\) | |||||||
\(114\) | 4.46240 | − | 0.669746i | 0.417942 | − | 0.0627275i | ||||
\(115\) | −0.0318201 | + | 0.0551140i | −0.00296724 | + | 0.00513941i | ||||
\(116\) | −2.45692 | + | 15.2948i | −0.228119 | + | 1.42008i | ||||
\(117\) | 8.31041 | − | 12.4126i | 0.768298 | − | 1.14754i | ||||
\(118\) | −9.17801 | + | 1.69061i | −0.844904 | + | 0.155634i | ||||
\(119\) | −10.7913 | − | 3.78859i | −0.989233 | − | 0.347299i | ||||
\(120\) | −2.61142 | − | 0.0269057i | −0.238389 | − | 0.00245615i | ||||
\(121\) | −4.96376 | − | 8.59748i | −0.451251 | − | 0.781589i | ||||
\(122\) | 2.86674 | + | 1.01871i | 0.259543 | + | 0.0922300i | ||||
\(123\) | 3.98653 | − | 2.12848i | 0.359453 | − | 0.191918i | ||||
\(124\) | −2.82231 | + | 3.46965i | −0.253451 | + | 0.311584i | ||||
\(125\) | − | 5.17934i | − | 0.463254i | ||||||
\(126\) | −10.7178 | + | 3.33597i | −0.954818 | + | 0.297192i | ||||
\(127\) | 8.19005 | 0.726750 | 0.363375 | − | 0.931643i | \(-0.381624\pi\) | ||||
0.363375 | + | 0.931643i | \(0.381624\pi\) | |||||||
\(128\) | −2.55644 | − | 11.0211i | −0.225960 | − | 0.974137i | ||||
\(129\) | −1.52728 | − | 2.86051i | −0.134469 | − | 0.251854i | ||||
\(130\) | 1.25694 | − | 3.53712i | 0.110241 | − | 0.310226i | ||||
\(131\) | −18.5565 | + | 10.7136i | −1.62129 | + | 0.936053i | −0.634715 | + | 0.772746i | \(0.718883\pi\) |
−0.986575 | + | 0.163306i | \(0.947784\pi\) | |||||||
\(132\) | −15.5545 | − | 3.03119i | −1.35384 | − | 0.263831i | ||||
\(133\) | 3.69760 | − | 3.17537i | 0.320622 | − | 0.275340i | ||||
\(134\) | 16.8325 | − | 3.10059i | 1.45411 | − | 0.267851i | ||||
\(135\) | 1.13970 | + | 2.52465i | 0.0980894 | + | 0.217288i | ||||
\(136\) | −12.2234 | + | 0.279766i | −1.04815 | + | 0.0239898i | ||||
\(137\) | 3.91533 | + | 2.26052i | 0.334509 | + | 0.193129i | 0.657841 | − | 0.753157i | \(-0.271470\pi\) |
−0.323332 | + | 0.946286i | \(0.604803\pi\) | |||||||
\(138\) | 0.0434027 | + | 0.289185i | 0.00369468 | + | 0.0246170i | ||||
\(139\) | 14.8300 | 1.25786 | 0.628931 | − | 0.777461i | \(-0.283493\pi\) | ||||
0.628931 | + | 0.777461i | \(0.283493\pi\) | |||||||
\(140\) | −2.40439 | + | 1.47508i | −0.203208 | + | 0.124667i | ||||
\(141\) | −8.57212 | − | 5.33597i | −0.721903 | − | 0.449370i | ||||
\(142\) | 5.69287 | + | 6.68034i | 0.477735 | + | 0.560602i | ||||
\(143\) | 11.3892 | − | 19.7266i | 0.952410 | − | 1.64962i | ||||
\(144\) | −9.46318 | + | 7.37891i | −0.788598 | + | 0.614909i | ||||
\(145\) | 3.57577 | − | 2.06447i | 0.296952 | − | 0.171445i | ||||
\(146\) | −13.4182 | + | 2.47168i | −1.11050 | + | 0.204557i | ||||
\(147\) | −7.88888 | + | 9.20682i | −0.650664 | + | 0.759366i | ||||
\(148\) | 5.77873 | + | 15.1536i | 0.475009 | + | 1.24562i | ||||
\(149\) | −10.7714 | − | 18.6566i | −0.882425 | − | 1.52841i | −0.848636 | − | 0.528977i | \(-0.822576\pi\) |
−0.0337890 | − | 0.999429i | \(-0.510757\pi\) | |||||||
\(150\) | −7.19651 | − | 9.03572i | −0.587592 | − | 0.737763i | ||||
\(151\) | 1.40767 | − | 2.43816i | 0.114555 | − | 0.198415i | −0.803047 | − | 0.595916i | \(-0.796789\pi\) |
0.917602 | + | 0.397501i | \(0.130122\pi\) | |||||||
\(152\) | 2.50129 | − | 4.57081i | 0.202882 | − | 0.370742i | ||||
\(153\) | 5.72500 | + | 11.6362i | 0.462839 | + | 0.940733i | ||||
\(154\) | −15.9701 | + | 6.15975i | −1.28690 | + | 0.496366i | ||||
\(155\) | 1.19213 | 0.0957539 | ||||||||
\(156\) | −5.60781 | − | 16.3115i | −0.448984 | − | 1.30597i | ||||
\(157\) | −3.54427 | + | 6.13885i | −0.282863 | + | 0.489933i | −0.972089 | − | 0.234613i | \(-0.924618\pi\) |
0.689226 | + | 0.724547i | \(0.257951\pi\) | |||||||
\(158\) | 0.0609766 | + | 0.0216684i | 0.00485104 | + | 0.00172384i | ||||
\(159\) | −0.263543 | + | 7.93838i | −0.0209003 | + | 0.629554i | ||||
\(160\) | −1.84888 | + | 2.38229i | −0.146167 | + | 0.188337i | ||||
\(161\) | 0.205779 | + | 0.239622i | 0.0162176 | + | 0.0188848i | ||||
\(162\) | 11.3236 | + | 5.81173i | 0.889666 | + | 0.456612i | ||||
\(163\) | 5.64257 | − | 3.25774i | 0.441960 | − | 0.255166i | −0.262469 | − | 0.964941i | \(-0.584537\pi\) |
0.704429 | + | 0.709775i | \(0.251203\pi\) | |||||||
\(164\) | 0.827643 | − | 5.15223i | 0.0646280 | − | 0.402321i | ||||
\(165\) | 1.98942 | + | 3.72607i | 0.154876 | + | 0.290074i | ||||
\(166\) | 3.54489 | + | 4.15978i | 0.275137 | + | 0.322862i | ||||
\(167\) | 17.2470 | 1.33462 | 0.667308 | − | 0.744782i | \(-0.267447\pi\) | ||||
0.667308 | + | 0.744782i | \(0.267447\pi\) | |||||||
\(168\) | −4.41936 | + | 12.1848i | −0.340961 | + | 0.940077i | ||||
\(169\) | 11.7928 | 0.907141 | ||||||||
\(170\) | 2.11377 | + | 2.48042i | 0.162118 | + | 0.190239i | ||||
\(171\) | −5.51435 | − | 0.366542i | −0.421693 | − | 0.0280301i | ||||
\(172\) | −3.69695 | − | 0.593869i | −0.281889 | − | 0.0452821i | ||||
\(173\) | 14.5387 | − | 8.39395i | 1.10536 | − | 0.638180i | 0.167737 | − | 0.985832i | \(-0.446354\pi\) |
0.937624 | + | 0.347652i | \(0.113021\pi\) | |||||||
\(174\) | 6.94241 | − | 17.6565i | 0.526303 | − | 1.33854i | ||||
\(175\) | −11.7725 | − | 4.13307i | −0.889914 | − | 0.312430i | ||||
\(176\) | −13.6522 | + | 12.1843i | −1.02907 | + | 0.918426i | ||||
\(177\) | 11.4235 | + | 0.379246i | 0.858646 | + | 0.0285058i | ||||
\(178\) | −21.9439 | − | 7.79787i | −1.64476 | − | 0.584475i | ||||
\(179\) | −2.00982 | + | 3.48110i | −0.150221 | + | 0.260190i | −0.931309 | − | 0.364231i | \(-0.881332\pi\) |
0.781088 | + | 0.624421i | \(0.214665\pi\) | |||||||
\(180\) | 3.11741 | + | 0.715631i | 0.232358 | + | 0.0533400i | ||||
\(181\) | 14.8596 | 1.10451 | 0.552253 | − | 0.833676i | \(-0.313768\pi\) | ||||
0.552253 | + | 0.833676i | \(0.313768\pi\) | |||||||
\(182\) | −14.4975 | − | 11.7014i | −1.07463 | − | 0.867364i | ||||
\(183\) | −3.16332 | − | 1.96911i | −0.233840 | − | 0.145561i | ||||
\(184\) | 0.296210 | + | 0.162095i | 0.0218369 | + | 0.0119498i | ||||
\(185\) | 2.16139 | − | 3.74363i | 0.158908 | − | 0.275237i | ||||
\(186\) | 4.28482 | − | 3.41265i | 0.314178 | − | 0.250228i | ||||
\(187\) | 9.88761 | + | 17.1258i | 0.723053 | + | 1.25237i | ||||
\(188\) | −10.8940 | + | 4.15438i | −0.794528 | + | 0.302989i | ||||
\(189\) | 13.6964 | − | 1.18637i | 0.996270 | − | 0.0862959i | ||||
\(190\) | −1.36582 | + | 0.251588i | −0.0990872 | + | 0.0182521i | ||||
\(191\) | −17.1154 | + | 9.88159i | −1.23843 | + | 0.715006i | −0.968773 | − | 0.247951i | \(-0.920243\pi\) |
−0.269655 | + | 0.962957i | \(0.586910\pi\) | |||||||
\(192\) | 0.174322 | + | 13.8553i | 0.0125806 | + | 0.999921i | ||||
\(193\) | −6.29229 | + | 10.8986i | −0.452929 | + | 0.784496i | −0.998566 | − | 0.0535255i | \(-0.982954\pi\) |
0.545638 | + | 0.838021i | \(0.316287\pi\) | |||||||
\(194\) | 6.59364 | + | 7.73736i | 0.473396 | + | 0.555510i | ||||
\(195\) | −2.42957 | + | 3.90305i | −0.173985 | + | 0.279504i | ||||
\(196\) | 2.95469 | + | 13.6847i | 0.211049 | + | 0.977475i | ||||
\(197\) | 8.41804 | 0.599761 | 0.299880 | − | 0.953977i | \(-0.403053\pi\) | ||||
0.299880 | + | 0.953977i | \(0.403053\pi\) | |||||||
\(198\) | 17.8170 | + | 7.69748i | 1.26620 | + | 0.547036i | ||||
\(199\) | 12.3980 | + | 7.15800i | 0.878873 | + | 0.507417i | 0.870287 | − | 0.492546i | \(-0.163934\pi\) |
0.00858618 | + | 0.999963i | \(0.497267\pi\) | |||||||
\(200\) | −13.3349 | + | 0.305204i | −0.942918 | + | 0.0215812i | ||||
\(201\) | −20.9508 | − | 0.695538i | −1.47776 | − | 0.0490595i | ||||
\(202\) | −5.35462 | + | 0.986336i | −0.376750 | + | 0.0693983i | ||||
\(203\) | −3.78890 | − | 20.1391i | −0.265929 | − | 1.41349i | ||||
\(204\) | 14.6980 | + | 2.86429i | 1.02907 | + | 0.200540i | ||||
\(205\) | −1.20454 | + | 0.695443i | −0.0841290 | + | 0.0485719i | ||||
\(206\) | 2.52084 | − | 7.09384i | 0.175635 | − | 0.494251i | ||||
\(207\) | 0.0237536 | − | 0.357356i | 0.00165099 | − | 0.0248379i | ||||
\(208\) | −18.9149 | − | 6.23787i | −1.31151 | − | 0.432518i | ||||
\(209\) | −8.42732 | −0.582930 | ||||||||
\(210\) | 3.26279 | − | 1.13562i | 0.225154 | − | 0.0783650i | ||||
\(211\) | − | 9.62315i | − | 0.662485i | −0.943546 | − | 0.331243i | \(-0.892532\pi\) | ||
0.943546 | − | 0.331243i | \(-0.107468\pi\) | |||||||
\(212\) | 7.11489 | + | 5.78746i | 0.488653 | + | 0.397484i | ||||
\(213\) | −5.06294 | − | 9.48262i | −0.346907 | − | 0.649739i | ||||
\(214\) | −12.2766 | − | 4.36256i | −0.839212 | − | 0.298219i | ||||
\(215\) | 0.499011 | + | 0.864312i | 0.0340323 | + | 0.0589456i | ||||
\(216\) | 13.2534 | − | 6.35191i | 0.901781 | − | 0.432193i | ||||
\(217\) | 1.95994 | − | 5.58261i | 0.133049 | − | 0.378972i | ||||
\(218\) | 6.81245 | − | 1.25487i | 0.461397 | − | 0.0849907i | ||||
\(219\) | 16.7012 | + | 0.554457i | 1.12856 | + | 0.0374667i | ||||
\(220\) | 4.81561 | + | 0.773569i | 0.324668 | + | 0.0521540i | ||||
\(221\) | −10.7621 | + | 18.6404i | −0.723935 | + | 1.25389i | ||||
\(222\) | −2.94814 | − | 19.6429i | −0.197866 | − | 1.31835i | ||||
\(223\) | − | 20.1840i | − | 1.35162i | −0.737076 | − | 0.675810i | \(-0.763794\pi\) | ||
0.737076 | − | 0.675810i | \(-0.236206\pi\) | |||||||
\(224\) | 8.11635 | + | 12.5748i | 0.542296 | + | 0.840187i | ||||
\(225\) | 6.24555 | + | 12.6942i | 0.416370 | + | 0.846283i | ||||
\(226\) | 3.55550 | + | 4.17223i | 0.236508 | + | 0.277532i | ||||
\(227\) | 1.03403 | + | 0.597000i | 0.0686313 | + | 0.0396243i | 0.533923 | − | 0.845533i | \(-0.320717\pi\) |
−0.465292 | + | 0.885157i | \(0.654051\pi\) | |||||||
\(228\) | −4.18892 | + | 4.81416i | −0.277418 | + | 0.318826i | ||||
\(229\) | −11.4021 | − | 19.7490i | −0.753472 | − | 1.30505i | −0.946130 | − | 0.323786i | \(-0.895044\pi\) |
0.192658 | − | 0.981266i | \(-0.438289\pi\) | |||||||
\(230\) | −0.0163041 | − | 0.0885117i | −0.00107506 | − | 0.00583629i | ||||
\(231\) | 20.7195 | − | 3.19031i | 1.36325 | − | 0.209907i | ||||
\(232\) | −11.3849 | − | 18.7167i | −0.747457 | − | 1.22881i | ||||
\(233\) | −14.1080 | + | 8.14528i | −0.924249 | + | 0.533615i | −0.884988 | − | 0.465614i | \(-0.845834\pi\) |
−0.0392607 | + | 0.999229i | \(0.512500\pi\) | |||||||
\(234\) | 2.44057 | + | 20.9837i | 0.159545 | + | 1.37175i | ||||
\(235\) | 2.69133 | + | 1.55384i | 0.175563 | + | 0.101361i | ||||
\(236\) | 8.32831 | − | 10.2385i | 0.542127 | − | 0.666471i | ||||
\(237\) | −0.0672850 | − | 0.0418836i | −0.00437063 | − | 0.00272063i | ||||
\(238\) | 15.0907 | − | 5.82058i | 0.978186 | − | 0.377292i | ||||
\(239\) | 20.2417i | 1.30933i | 0.755920 | + | 0.654664i | \(0.227190\pi\) | ||||
−0.755920 | + | 0.654664i | \(0.772810\pi\) | |||||||
\(240\) | 2.83558 | − | 2.36643i | 0.183036 | − | 0.152753i | ||||
\(241\) | −7.99312 | − | 4.61483i | −0.514882 | − | 0.297267i | 0.219956 | − | 0.975510i | \(-0.429409\pi\) |
−0.734838 | + | 0.678242i | \(0.762742\pi\) | |||||||
\(242\) | 13.2292 | + | 4.70106i | 0.850404 | + | 0.302196i | ||||
\(243\) | −12.0272 | − | 9.91699i | −0.771545 | − | 0.636175i | ||||
\(244\) | −4.02016 | + | 1.53307i | −0.257365 | + | 0.0981446i | ||||
\(245\) | 2.33265 | − | 2.91263i | 0.149027 | − | 0.186081i | ||||
\(246\) | −2.33864 | + | 5.94781i | −0.149106 | + | 0.379218i | ||||
\(247\) | −4.58631 | − | 7.94372i | −0.291820 | − | 0.505447i | ||||
\(248\) | −0.144731 | − | 6.32352i | −0.00919041 | − | 0.401544i | ||||
\(249\) | −3.15265 | − | 5.90474i | −0.199791 | − | 0.374198i | ||||
\(250\) | 4.75088 | + | 5.57496i | 0.300472 | + | 0.352591i | ||||
\(251\) | − | 8.22152i | − | 0.518938i | −0.965751 | − | 0.259469i | \(-0.916452\pi\) | ||
0.965751 | − | 0.259469i | \(-0.0835475\pi\) | |||||||
\(252\) | 8.47647 | − | 13.4220i | 0.533967 | − | 0.845505i | ||||
\(253\) | − | 0.546129i | − | 0.0343349i | ||||||
\(254\) | −8.81565 | + | 7.51254i | −0.553143 | + | 0.471379i | ||||
\(255\) | −1.87987 | − | 3.52091i | −0.117722 | − | 0.220488i | ||||
\(256\) | 12.8611 | + | 9.51798i | 0.803819 | + | 0.594874i | ||||
\(257\) | 6.71468 | + | 11.6302i | 0.418850 | + | 0.725470i | 0.995824 | − | 0.0912928i | \(-0.0290999\pi\) |
−0.576974 | + | 0.816763i | \(0.695767\pi\) | |||||||
\(258\) | 4.26781 | + | 1.67807i | 0.265702 | + | 0.104472i | ||||
\(259\) | −13.9776 | − | 16.2763i | −0.868525 | − | 1.01136i | ||||
\(260\) | 1.89157 | + | 4.96026i | 0.117310 | + | 0.307622i | ||||
\(261\) | −12.9272 | + | 19.3083i | −0.800174 | + | 1.19515i | ||||
\(262\) | 10.1466 | − | 28.5534i | 0.626860 | − | 1.76404i | ||||
\(263\) | −13.0415 | − | 7.52949i | −0.804170 | − | 0.464288i | 0.0407569 | − | 0.999169i | \(-0.487023\pi\) |
−0.844927 | + | 0.534881i | \(0.820356\pi\) | |||||||
\(264\) | 19.5231 | − | 11.0050i | 1.20156 | − | 0.677313i | ||||
\(265\) | − | 2.44458i | − | 0.150170i | ||||||
\(266\) | −1.06734 | + | 6.80964i | −0.0654431 | + | 0.417526i | ||||
\(267\) | 24.2141 | + | 15.0728i | 1.48188 | + | 0.922439i | ||||
\(268\) | −15.2742 | + | 18.7775i | −0.933018 | + | 1.14702i | ||||
\(269\) | −11.5014 | − | 6.64035i | −0.701254 | − | 0.404869i | 0.106560 | − | 0.994306i | \(-0.466016\pi\) |
−0.807814 | + | 0.589437i | \(0.799350\pi\) | |||||||
\(270\) | −3.54256 | − | 1.67208i | −0.215593 | − | 0.101760i | ||||
\(271\) | 16.2954 | − | 9.40818i | 0.989878 | − | 0.571506i | 0.0846401 | − | 0.996412i | \(-0.473026\pi\) |
0.905238 | + | 0.424905i | \(0.139693\pi\) | |||||||
\(272\) | 12.9005 | − | 11.5134i | 0.782208 | − | 0.698103i | ||||
\(273\) | 14.2832 | + | 17.7943i | 0.864460 | + | 1.07696i | ||||
\(274\) | −6.28792 | + | 1.15825i | −0.379867 | + | 0.0699726i | ||||
\(275\) | 10.7866 | + | 18.6830i | 0.650459 | + | 1.12663i | ||||
\(276\) | −0.311980 | − | 0.271462i | −0.0187790 | − | 0.0163401i | ||||
\(277\) | 20.1344 | + | 11.6246i | 1.20976 | + | 0.698454i | 0.962706 | − | 0.270548i | \(-0.0872049\pi\) |
0.247052 | + | 0.969002i | \(0.420538\pi\) | |||||||
\(278\) | −15.9628 | + | 13.6032i | −0.957383 | + | 0.815864i | ||||
\(279\) | −6.01973 | + | 2.96170i | −0.360392 | + | 0.177312i | ||||
\(280\) | 1.23499 | − | 3.79325i | 0.0738047 | − | 0.226690i | ||||
\(281\) | − | 21.2736i | − | 1.26908i | −0.772892 | − | 0.634538i | \(-0.781190\pi\) | ||
0.772892 | − | 0.634538i | \(-0.218810\pi\) | |||||||
\(282\) | 14.1215 | − | 2.11944i | 0.840921 | − | 0.126211i | ||||
\(283\) | −4.31186 | + | 7.46836i | −0.256314 | + | 0.443948i | −0.965251 | − | 0.261323i | \(-0.915841\pi\) |
0.708938 | + | 0.705271i | \(0.249175\pi\) | |||||||
\(284\) | −12.2554 | − | 1.96869i | −0.727226 | − | 0.116820i | ||||
\(285\) | 1.69999 | + | 0.0564373i | 0.100699 | + | 0.00334306i | ||||
\(286\) | 5.83563 | + | 31.6804i | 0.345068 | + | 1.87330i | ||||
\(287\) | 1.27634 | + | 6.78411i | 0.0753399 | + | 0.400454i | ||||
\(288\) | 3.41753 | − | 16.6229i | 0.201380 | − | 0.979513i | ||||
\(289\) | −0.843181 | − | 1.46043i | −0.0495989 | − | 0.0859078i | ||||
\(290\) | −1.95522 | + | 5.50214i | −0.114814 | + | 0.323097i | ||||
\(291\) | −5.86404 | − | 10.9830i | −0.343756 | − | 0.643837i | ||||
\(292\) | 12.1760 | − | 14.9687i | 0.712545 | − | 0.875977i | ||||
\(293\) | 22.7441i | 1.32872i | 0.747411 | + | 0.664362i | \(0.231297\pi\) | ||||
−0.747411 | + | 0.664362i | \(0.768703\pi\) | |||||||
\(294\) | 0.0462789 | − | 17.1464i | 0.00269904 | − | 0.999996i | ||||
\(295\) | −3.51782 | −0.204815 | ||||||||
\(296\) | −20.1201 | − | 11.0104i | −1.16946 | − | 0.639965i | ||||
\(297\) | −19.3027 | − | 13.8726i | −1.12006 | − | 0.804970i | ||||
\(298\) | 28.7074 | + | 10.2013i | 1.66297 | + | 0.590947i | ||||
\(299\) | 0.514790 | − | 0.297214i | 0.0297711 | − | 0.0171883i | ||||
\(300\) | 16.0345 | + | 3.12473i | 0.925750 | + | 0.180406i | ||||
\(301\) | 4.86790 | − | 0.915828i | 0.280581 | − | 0.0527875i | ||||
\(302\) | 0.721270 | + | 3.91563i | 0.0415044 | + | 0.225319i | ||||
\(303\) | 6.66470 | + | 0.221259i | 0.382877 | + | 0.0127110i | ||||
\(304\) | 1.50034 | + | 7.21433i | 0.0860507 | + | 0.413770i | ||||
\(305\) | 0.993166 | + | 0.573405i | 0.0568685 | + | 0.0328331i | ||||
\(306\) | −16.8359 | − | 7.27364i | −0.962446 | − | 0.415807i | ||||
\(307\) | −22.8169 | −1.30223 | −0.651114 | − | 0.758980i | \(-0.725698\pi\) | ||||
−0.651114 | + | 0.758980i | \(0.725698\pi\) | |||||||
\(308\) | 11.5397 | − | 21.2792i | 0.657538 | − | 1.21250i | ||||
\(309\) | −4.87261 | + | 7.82773i | −0.277193 | + | 0.445304i | ||||
\(310\) | −1.28319 | + | 1.09351i | −0.0728801 | + | 0.0621071i | ||||
\(311\) | −11.9871 | + | 20.7622i | −0.679725 | + | 1.17732i | 0.295339 | + | 0.955393i | \(0.404567\pi\) |
−0.975064 | + | 0.221925i | \(0.928766\pi\) | |||||||
\(312\) | 20.9983 | + | 12.4136i | 1.18880 | + | 0.702781i | ||||
\(313\) | 19.4419 | − | 11.2248i | 1.09892 | − | 0.634463i | 0.162984 | − | 0.986629i | \(-0.447888\pi\) |
0.935938 | + | 0.352166i | \(0.114555\pi\) | |||||||
\(314\) | −1.81602 | − | 9.85883i | −0.102484 | − | 0.556366i | ||||
\(315\) | −4.20099 | + | 0.504805i | −0.236699 | + | 0.0284425i | ||||
\(316\) | −0.0855102 | + | 0.0326089i | −0.00481032 | + | 0.00183439i | ||||
\(317\) | −1.06072 | − | 1.83723i | −0.0595762 | − | 0.103189i | 0.834699 | − | 0.550706i | \(-0.185642\pi\) |
−0.894275 | + | 0.447517i | \(0.852308\pi\) | |||||||
\(318\) | −6.99801 | − | 8.78649i | −0.392429 | − | 0.492722i | ||||
\(319\) | −17.7163 | + | 30.6856i | −0.991924 | + | 1.71806i | ||||
\(320\) | −0.195114 | − | 4.26020i | −0.0109072 | − | 0.238152i | ||||
\(321\) | 13.5467 | + | 8.43255i | 0.756103 | + | 0.470659i | ||||
\(322\) | −0.441296 | − | 0.0691689i | −0.0245925 | − | 0.00385463i | ||||
\(323\) | 7.96330 | 0.443090 | ||||||||
\(324\) | −17.5195 | + | 4.13121i | −0.973306 | + | 0.229512i | ||||
\(325\) | −11.7406 | + | 20.3353i | −0.651252 | + | 1.12800i | ||||
\(326\) | −3.08533 | + | 8.68238i | −0.170881 | + | 0.480872i | ||||
\(327\) | −8.47921 | − | 0.281498i | −0.468902 | − | 0.0155669i | ||||
\(328\) | 3.83515 | + | 6.30496i | 0.211761 | + | 0.348133i | ||||
\(329\) | 11.7012 | − | 10.0486i | 0.645108 | − | 0.553997i | ||||
\(330\) | −5.55921 | − | 2.18584i | −0.306024 | − | 0.120327i | ||||
\(331\) | 1.25478 | − | 0.724448i | 0.0689689 | − | 0.0398192i | −0.465119 | − | 0.885248i | \(-0.653988\pi\) |
0.534088 | + | 0.845429i | \(0.320655\pi\) | |||||||
\(332\) | −7.63134 | − | 1.22588i | −0.418824 | − | 0.0672790i | ||||
\(333\) | −1.61347 | + | 24.2735i | −0.0884176 | + | 1.33018i | ||||
\(334\) | −18.5644 | + | 15.8203i | −1.01580 | + | 0.865648i | ||||
\(335\) | 6.45170 | 0.352494 | ||||||||
\(336\) | −6.41989 | − | 17.1693i | −0.350234 | − | 0.936662i | ||||
\(337\) | −21.6680 | −1.18033 | −0.590165 | − | 0.807282i | \(-0.700937\pi\) | ||||
−0.590165 | + | 0.807282i | \(0.700937\pi\) | |||||||
\(338\) | −12.6936 | + | 10.8173i | −0.690442 | + | 0.588383i | ||||
\(339\) | −3.16208 | − | 5.92240i | −0.171740 | − | 0.321661i | ||||
\(340\) | −4.55045 | − | 0.730975i | −0.246783 | − | 0.0396427i | ||||
\(341\) | −8.85966 | + | 5.11513i | −0.479778 | + | 0.277000i | ||||
\(342\) | 6.27178 | − | 4.66364i | 0.339139 | − | 0.252181i | ||||
\(343\) | −9.80454 | − | 15.7121i | −0.529396 | − | 0.848375i | ||||
\(344\) | 4.52408 | − | 2.75189i | 0.243922 | − | 0.148372i | ||||
\(345\) | −0.00365740 | + | 0.110167i | −0.000196908 | + | 0.00593121i | ||||
\(346\) | −7.94972 | + | 22.3712i | −0.427380 | + | 1.20268i | ||||
\(347\) | 13.7374 | − | 23.7939i | 0.737463 | − | 1.27732i | −0.216171 | − | 0.976356i | \(-0.569357\pi\) |
0.953634 | − | 0.300969i | \(-0.0973099\pi\) | |||||||
\(348\) | 8.72318 | + | 25.3733i | 0.467612 | + | 1.36015i | ||||
\(349\) | −15.6203 | −0.836134 | −0.418067 | − | 0.908416i | \(-0.637292\pi\) | ||||
−0.418067 | + | 0.908416i | \(0.637292\pi\) | |||||||
\(350\) | 16.4629 | − | 6.34982i | 0.879977 | − | 0.339412i | ||||
\(351\) | 2.57163 | − | 25.7448i | 0.137264 | − | 1.37415i | ||||
\(352\) | 3.51868 | − | 25.6379i | 0.187546 | − | 1.36650i | ||||
\(353\) | 6.72613 | − | 11.6500i | 0.357996 | − | 0.620067i | −0.629630 | − | 0.776895i | \(-0.716793\pi\) |
0.987626 | + | 0.156828i | \(0.0501268\pi\) | |||||||
\(354\) | −12.6440 | + | 10.0703i | −0.672021 | + | 0.535232i | ||||
\(355\) | 1.65423 | + | 2.86521i | 0.0877973 | + | 0.152069i | ||||
\(356\) | 30.7728 | − | 11.7351i | 1.63096 | − | 0.621957i | ||||
\(357\) | −19.5787 | + | 3.01465i | −1.03621 | + | 0.159552i | ||||
\(358\) | −1.02980 | − | 5.59056i | −0.0544265 | − | 0.295470i | ||||
\(359\) | 19.9816 | − | 11.5364i | 1.05459 | − | 0.608867i | 0.130658 | − | 0.991428i | \(-0.458291\pi\) |
0.923930 | + | 0.382561i | \(0.124958\pi\) | |||||||
\(360\) | −4.01197 | + | 2.08923i | −0.211449 | + | 0.110112i | ||||
\(361\) | 7.80320 | − | 13.5155i | 0.410695 | − | 0.711344i | ||||
\(362\) | −15.9947 | + | 13.6304i | −0.840661 | + | 0.716396i | ||||
\(363\) | −14.5978 | − | 9.08684i | −0.766186 | − | 0.476936i | ||||
\(364\) | 26.3383 | − | 0.703018i | 1.38050 | − | 0.0368482i | ||||
\(365\) | −5.14305 | −0.269200 | ||||||||
\(366\) | 5.21117 | − | 0.782125i | 0.272392 | − | 0.0408823i | ||||
\(367\) | 18.6893 | + | 10.7903i | 0.975574 | + | 0.563248i | 0.900931 | − | 0.433963i | \(-0.142885\pi\) |
0.0746427 | + | 0.997210i | \(0.476218\pi\) | |||||||
\(368\) | −0.467522 | + | 0.0972293i | −0.0243713 | + | 0.00506843i | ||||
\(369\) | 4.35469 | − | 6.50424i | 0.226696 | − | 0.338597i | ||||
\(370\) | 1.10746 | + | 6.01218i | 0.0575741 | + | 0.312558i | ||||
\(371\) | −11.4477 | − | 4.01907i | −0.594337 | − | 0.208659i | ||||
\(372\) | −1.48177 | + | 7.60369i | −0.0768264 | + | 0.394233i | ||||
\(373\) | −0.158888 | + | 0.0917338i | −0.00822689 | + | 0.00474980i | −0.504108 | − | 0.863641i | \(-0.668179\pi\) |
0.495881 | + | 0.868391i | \(0.334845\pi\) | |||||||
\(374\) | −26.3520 | − | 9.36433i | −1.36263 | − | 0.484218i | ||||
\(375\) | −4.22519 | − | 7.91356i | −0.218188 | − | 0.408654i | ||||
\(376\) | 7.91544 | − | 14.4645i | 0.408208 | − | 0.745951i | ||||
\(377\) | −38.5663 | −1.98627 | ||||||||
\(378\) | −13.6544 | + | 13.8404i | −0.702307 | + | 0.711874i | ||||
\(379\) | − | 2.93359i | − | 0.150688i | −0.997158 | − | 0.0753441i | \(-0.975994\pi\) | ||
0.997158 | − | 0.0753441i | \(-0.0240055\pi\) | |||||||
\(380\) | 1.23937 | − | 1.52364i | 0.0635786 | − | 0.0781612i | ||||
\(381\) | 12.5137 | − | 6.68127i | 0.641094 | − | 0.342292i | ||||
\(382\) | 9.35863 | − | 26.3359i | 0.478829 | − | 1.34746i | ||||
\(383\) | −7.67488 | − | 13.2933i | −0.392168 | − | 0.679255i | 0.600567 | − | 0.799574i | \(-0.294942\pi\) |
−0.992735 | + | 0.120319i | \(0.961608\pi\) | |||||||
\(384\) | −12.8968 | − | 14.7537i | −0.658136 | − | 0.752899i | ||||
\(385\) | −6.34088 | + | 1.19295i | −0.323161 | + | 0.0607983i | ||||
\(386\) | −3.22407 | − | 17.5028i | −0.164101 | − | 0.890870i | ||||
\(387\) | −4.66708 | − | 3.12468i | −0.237241 | − | 0.158836i | ||||
\(388\) | −14.1946 | − | 2.28019i | −0.720621 | − | 0.115759i | ||||
\(389\) | 2.00060 | − | 3.46513i | 0.101434 | − | 0.175689i | −0.810842 | − | 0.585266i | \(-0.800990\pi\) |
0.912276 | + | 0.409577i | \(0.134324\pi\) | |||||||
\(390\) | −0.965022 | − | 6.42978i | −0.0488658 | − | 0.325585i | ||||
\(391\) | 0.516059i | 0.0260982i | ||||||||
\(392\) | −15.7330 | − | 12.0197i | −0.794636 | − | 0.607086i | ||||
\(393\) | −19.6127 | + | 31.5074i | −0.989332 | + | 1.58934i | ||||
\(394\) | −9.06105 | + | 7.72167i | −0.456489 | + | 0.389012i | ||||
\(395\) | 0.0211250 | + | 0.0121965i | 0.00106291 | + | 0.000613673i | ||||
\(396\) | −26.2386 | + | 8.05762i | −1.31854 | + | 0.404911i | ||||
\(397\) | 11.7195 | + | 20.2987i | 0.588183 | + | 1.01876i | 0.994470 | + | 0.105017i | \(0.0334897\pi\) |
−0.406288 | + | 0.913745i | \(0.633177\pi\) | |||||||
\(398\) | −19.9109 | + | 3.66765i | −0.998044 | + | 0.183842i | ||||
\(399\) | 3.05919 | − | 7.86810i | 0.153151 | − | 0.393898i | ||||
\(400\) | 14.0735 | − | 12.5603i | 0.703675 | − | 0.628014i | ||||
\(401\) | 14.5441 | − | 8.39703i | 0.726297 | − | 0.419328i | −0.0907689 | − | 0.995872i | \(-0.528932\pi\) |
0.817066 | + | 0.576544i | \(0.195599\pi\) | |||||||
\(402\) | 23.1891 | − | 18.4690i | 1.15657 | − | 0.921151i | ||||
\(403\) | −9.64320 | − | 5.56751i | −0.480362 | − | 0.277337i | ||||
\(404\) | 4.85889 | − | 5.97334i | 0.241739 | − | 0.297185i | ||||
\(405\) | 3.80091 | + | 2.92770i | 0.188869 | + | 0.145479i | ||||
\(406\) | 22.5515 | + | 18.2020i | 1.11921 | + | 0.903350i | ||||
\(407\) | 37.0960i | 1.83878i | ||||||||
\(408\) | −18.4481 | + | 10.3991i | −0.913316 | + | 0.514831i | ||||
\(409\) | 11.9749 | + | 6.91372i | 0.592121 | + | 0.341861i | 0.765936 | − | 0.642917i | \(-0.222276\pi\) |
−0.173815 | + | 0.984778i | \(0.555609\pi\) | |||||||
\(410\) | 0.658639 | − | 1.85346i | 0.0325278 | − | 0.0915360i | ||||
\(411\) | 7.82635 | + | 0.259824i | 0.386045 | + | 0.0128162i | ||||
\(412\) | 3.79362 | + | 9.94800i | 0.186898 | + | 0.490103i | ||||
\(413\) | −5.78354 | + | 16.4736i | −0.284590 | + | 0.810613i | ||||
\(414\) | 0.302226 | + | 0.406441i | 0.0148536 | + | 0.0199755i | ||||
\(415\) | 1.03007 | + | 1.78414i | 0.0505643 | + | 0.0875799i | ||||
\(416\) | 26.0816 | − | 10.6359i | 1.27876 | − | 0.521466i | ||||
\(417\) | 22.6588 | − | 12.0980i | 1.10961 | − | 0.592440i | ||||
\(418\) | 9.07104 | − | 7.73018i | 0.443679 | − | 0.378095i | ||||
\(419\) | 17.5573i | 0.857728i | 0.903369 | + | 0.428864i | \(0.141086\pi\) | ||||
−0.903369 | + | 0.428864i | \(0.858914\pi\) | |||||||
\(420\) | −2.47035 | + | 4.21524i | −0.120541 | + | 0.205683i | ||||
\(421\) | 19.8896i | 0.969362i | 0.874691 | + | 0.484681i | \(0.161064\pi\) | ||||
−0.874691 | + | 0.484681i | \(0.838936\pi\) | |||||||
\(422\) | 8.82709 | + | 10.3582i | 0.429696 | + | 0.504230i | ||||
\(423\) | −17.4504 | − | 1.15994i | −0.848467 | − | 0.0563980i | ||||
\(424\) | −12.9671 | + | 0.296786i | −0.629736 | + | 0.0144132i | ||||
\(425\) | −10.1927 | − | 17.6543i | −0.494419 | − | 0.856359i | ||||
\(426\) | 14.1479 | + | 5.56284i | 0.685466 | + | 0.269520i | ||||
\(427\) | 4.31803 | − | 3.70818i | 0.208964 | − | 0.179451i | ||||
\(428\) | 17.2160 | − | 6.56525i | 0.832168 | − | 0.317343i | ||||
\(429\) | 1.30907 | − | 39.4315i | 0.0632026 | − | 1.90377i | ||||
\(430\) | −1.32994 | − | 0.472602i | −0.0641354 | − | 0.0227909i | ||||
\(431\) | 25.3821 | + | 14.6544i | 1.22261 | + | 0.705876i | 0.965474 | − | 0.260498i | \(-0.0838868\pi\) |
0.257139 | + | 0.966374i | \(0.417220\pi\) | |||||||
\(432\) | −8.43933 | + | 18.9942i | −0.406037 | + | 0.913857i | ||||
\(433\) | 12.5427i | 0.602763i | 0.953504 | + | 0.301381i | \(0.0974477\pi\) | ||||
−0.953504 | + | 0.301381i | \(0.902552\pi\) | |||||||
\(434\) | 3.01114 | + | 7.80684i | 0.144540 | + | 0.374740i | ||||
\(435\) | 3.77930 | − | 6.07137i | 0.181204 | − | 0.291100i | ||||
\(436\) | −6.18175 | + | 7.59962i | −0.296052 | + | 0.363956i | ||||
\(437\) | −0.190457 | − | 0.109961i | −0.00911081 | − | 0.00526013i | ||||
\(438\) | −18.4855 | + | 14.7228i | −0.883272 | + | 0.703483i | ||||
\(439\) | 11.7921 | − | 6.80818i | 0.562807 | − | 0.324937i | −0.191464 | − | 0.981500i | \(-0.561324\pi\) |
0.754271 | + | 0.656563i | \(0.227990\pi\) | |||||||
\(440\) | −5.89302 | + | 3.58458i | −0.280939 | + | 0.170888i | ||||
\(441\) | −4.54277 | + | 20.5028i | −0.216323 | + | 0.976322i | ||||
\(442\) | −5.51431 | − | 29.9361i | −0.262289 | − | 1.42391i | ||||
\(443\) | −6.72205 | − | 11.6429i | −0.319374 | − | 0.553172i | 0.660984 | − | 0.750400i | \(-0.270139\pi\) |
−0.980358 | + | 0.197228i | \(0.936806\pi\) | |||||||
\(444\) | 21.1913 | + | 18.4391i | 1.00570 | + | 0.875081i | ||||
\(445\) | −7.60232 | − | 4.38920i | −0.360384 | − | 0.208068i | ||||
\(446\) | 18.5143 | + | 21.7257i | 0.876677 | + | 1.02874i | ||||
\(447\) | −31.6773 | − | 19.7185i | −1.49828 | − | 0.932653i | ||||
\(448\) | −20.2709 | − | 6.09036i | −0.957708 | − | 0.287742i | ||||
\(449\) | − | 16.3428i | − | 0.771266i | −0.922652 | − | 0.385633i | \(-0.873983\pi\) | ||
0.922652 | − | 0.385633i | \(-0.126017\pi\) | |||||||
\(450\) | −18.3667 | − | 7.93500i | −0.865817 | − | 0.374060i | ||||
\(451\) | 5.96796 | − | 10.3368i | 0.281020 | − | 0.486742i | ||||
\(452\) | −7.65417 | − | 1.22955i | −0.360022 | − | 0.0578331i | ||||
\(453\) | 0.161798 | − | 4.87364i | 0.00760194 | − | 0.228984i | ||||
\(454\) | −1.66063 | + | 0.305893i | −0.0779374 | + | 0.0143563i | ||||
\(455\) | −4.57532 | − | 5.32779i | −0.214494 | − | 0.249770i | ||||
\(456\) | 0.0929782 | − | 9.02429i | 0.00435410 | − | 0.422601i | ||||
\(457\) | 14.6395 | + | 25.3564i | 0.684808 | + | 1.18612i | 0.973497 | + | 0.228699i | \(0.0734472\pi\) |
−0.288689 | + | 0.957423i | \(0.593219\pi\) | |||||||
\(458\) | 30.3884 | + | 10.7987i | 1.41996 | + | 0.504589i | ||||
\(459\) | 18.2399 | + | 13.1088i | 0.851364 | + | 0.611864i | ||||
\(460\) | 0.0987391 | + | 0.0803173i | 0.00460374 | + | 0.00374481i | ||||
\(461\) | − | 6.06975i | − | 0.282696i | −0.989960 | − | 0.141348i | \(-0.954856\pi\) | ||
0.989960 | − | 0.141348i | \(-0.0451437\pi\) | |||||||
\(462\) | −19.3758 | + | 22.4396i | −0.901444 | + | 1.04398i | ||||
\(463\) | −3.30400 | −0.153550 | −0.0767750 | − | 0.997048i | \(-0.524462\pi\) | ||||
−0.0767750 | + | 0.997048i | \(0.524462\pi\) | |||||||
\(464\) | 29.4230 | + | 9.70327i | 1.36593 | + | 0.450463i | ||||
\(465\) | 1.82146 | − | 0.972510i | 0.0844682 | − | 0.0450991i | ||||
\(466\) | 7.71421 | − | 21.7084i | 0.357354 | − | 1.00562i | ||||
\(467\) | 7.03895 | − | 4.06394i | 0.325724 | − | 0.188057i | −0.328217 | − | 0.944602i | \(-0.606448\pi\) |
0.653941 | + | 0.756546i | \(0.273114\pi\) | |||||||
\(468\) | −21.8748 | − | 20.3478i | −1.01116 | − | 0.940579i | ||||
\(469\) | 10.6070 | − | 30.2127i | 0.489788 | − | 1.39509i | ||||
\(470\) | −4.32220 | + | 0.796161i | −0.199368 | + | 0.0367242i | ||||
\(471\) | −0.407378 | + | 12.2709i | −0.0187710 | + | 0.565415i | ||||
\(472\) | 0.427083 | + | 18.6599i | 0.0196581 | + | 0.858894i | ||||
\(473\) | −7.41711 | − | 4.28227i | −0.341039 | − | 0.196899i | ||||
\(474\) | 0.110843 | − | 0.0166361i | 0.00509120 | − | 0.000764120i | ||||
\(475\) | 8.68736 | 0.398604 | ||||||||
\(476\) | −10.9043 | + | 20.1075i | −0.499800 | + | 0.921628i | ||||
\(477\) | 6.07328 | + | 12.3441i | 0.278076 | + | 0.565198i | ||||
\(478\) | −18.5672 | − | 21.7879i | −0.849245 | − | 0.996554i | ||||
\(479\) | −0.425876 | + | 0.737638i | −0.0194588 | + | 0.0337035i | −0.875591 | − | 0.483054i | \(-0.839528\pi\) |
0.856132 | + | 0.516757i | \(0.172861\pi\) | |||||||
\(480\) | −0.881497 | + | 5.14820i | −0.0402347 | + | 0.234982i | ||||
\(481\) | −34.9673 | + | 20.1884i | −1.59437 | + | 0.920510i | ||||
\(482\) | 12.8368 | − | 2.36457i | 0.584698 | − | 0.107703i | ||||
\(483\) | 0.509889 | + | 0.198250i | 0.0232008 | + | 0.00902069i | ||||
\(484\) | −18.5519 | + | 7.07466i | −0.843266 | + | 0.321575i | ||||
\(485\) | 1.91597 | + | 3.31856i | 0.0869999 | + | 0.150688i | ||||
\(486\) | 22.0425 | − | 0.357752i | 0.999868 | − | 0.0162280i | ||||
\(487\) | −2.45804 | + | 4.25745i | −0.111384 | + | 0.192923i | −0.916329 | − | 0.400427i | \(-0.868862\pi\) |
0.804944 | + | 0.593350i | \(0.202195\pi\) | |||||||
\(488\) | 2.92100 | − | 5.33777i | 0.132227 | − | 0.241630i | ||||
\(489\) | 5.96374 | − | 9.58062i | 0.269690 | − | 0.433250i | ||||
\(490\) | 0.160865 | + | 5.27480i | 0.00726712 | + | 0.238291i | ||||
\(491\) | 5.07434 | 0.229002 | 0.114501 | − | 0.993423i | \(-0.463473\pi\) | ||||
0.114501 | + | 0.993423i | \(0.463473\pi\) | |||||||
\(492\) | −2.93851 | − | 8.54731i | −0.132478 | − | 0.385342i | ||||
\(493\) | 16.7408 | − | 28.9960i | 0.753970 | − | 1.30591i | ||||
\(494\) | 12.2232 | + | 4.34359i | 0.549949 | + | 0.195427i | ||||
\(495\) | 6.07929 | + | 4.07017i | 0.273244 | + | 0.182941i | ||||
\(496\) | 5.95620 | + | 6.67378i | 0.267441 | + | 0.299662i | ||||
\(497\) | 16.1372 | − | 3.03599i | 0.723850 | − | 0.136183i | ||||
\(498\) | 8.80974 | + | 3.46392i | 0.394774 | + | 0.155222i | ||||
\(499\) | 17.6743 | − | 10.2042i | 0.791209 | − | 0.456805i | −0.0491790 | − | 0.998790i | \(-0.515660\pi\) |
0.840388 | + | 0.541985i | \(0.182327\pi\) | |||||||
\(500\) | −10.2276 | − | 1.64293i | −0.457390 | − | 0.0734742i | ||||
\(501\) | 26.3519 | − | 14.0697i | 1.17732 | − | 0.628590i | ||||
\(502\) | 7.54141 | + | 8.84952i | 0.336589 | + | 0.394973i | ||||
\(503\) | 26.6102 | 1.18649 | 0.593245 | − | 0.805022i | \(-0.297847\pi\) | ||||
0.593245 | + | 0.805022i | \(0.297847\pi\) | |||||||
\(504\) | 3.18771 | + | 22.2225i | 0.141992 | + | 0.989868i | ||||
\(505\) | −2.05236 | −0.0913289 | ||||||||
\(506\) | 0.500951 | + | 0.587845i | 0.0222700 | + | 0.0261329i | ||||
\(507\) | 18.0184 | − | 9.62033i | 0.800224 | − | 0.427254i | ||||
\(508\) | 2.59796 | − | 16.1728i | 0.115266 | − | 0.717551i | ||||
\(509\) | 24.9978 | − | 14.4325i | 1.10801 | − | 0.639710i | 0.169697 | − | 0.985496i | \(-0.445721\pi\) |
0.938313 | + | 0.345787i | \(0.112388\pi\) | |||||||
\(510\) | 5.25311 | + | 2.06549i | 0.232612 | + | 0.0914613i | ||||
\(511\) | −8.45553 | + | 24.0844i | −0.374051 | + | 1.06543i | ||||
\(512\) | −22.5741 | + | 1.55218i | −0.997644 | + | 0.0685972i | ||||
\(513\) | −8.72444 | + | 3.93844i | −0.385194 | + | 0.173887i | ||||
\(514\) | −17.8957 | − | 6.35932i | −0.789343 | − | 0.280498i | ||||
\(515\) | 1.41891 | − | 2.45762i | 0.0625245 | − | 0.108296i | ||||
\(516\) | −6.13306 | + | 2.10851i | −0.269993 | + | 0.0928219i | ||||
\(517\) | −26.6686 | −1.17288 | ||||||||
\(518\) | 29.9752 | + | 4.69832i | 1.31703 | + | 0.206432i | ||||
\(519\) | 15.3663 | − | 24.6856i | 0.674505 | − | 1.08358i | ||||
\(520\) | −6.58599 | − | 3.60406i | −0.288815 | − | 0.158048i | ||||
\(521\) | −12.5564 | + | 21.7483i | −0.550105 | + | 0.952811i | 0.448161 | + | 0.893953i | \(0.352079\pi\) |
−0.998266 | + | 0.0588577i | \(0.981254\pi\) | |||||||
\(522\) | −3.79642 | − | 32.6410i | −0.166165 | − | 1.42866i | ||||
\(523\) | 1.54754 | + | 2.68042i | 0.0676692 | + | 0.117206i | 0.897875 | − | 0.440251i | \(-0.145110\pi\) |
−0.830206 | + | 0.557457i | \(0.811777\pi\) | |||||||
\(524\) | 15.2697 | + | 40.0417i | 0.667060 | + | 1.74923i | ||||
\(525\) | −21.3589 | + | 3.28876i | −0.932179 | + | 0.143533i | ||||
\(526\) | 20.9442 | − | 3.85799i | 0.913212 | − | 0.168216i | ||||
\(527\) | 8.37183 | − | 4.83348i | 0.364683 | − | 0.210550i | ||||
\(528\) | −10.9197 | + | 29.7537i | −0.475218 | + | 1.29486i | ||||
\(529\) | −11.4929 | + | 19.9062i | −0.499690 | + | 0.865489i | ||||
\(530\) | 2.24236 | + | 2.63131i | 0.0974018 | + | 0.114297i | ||||
\(531\) | 17.7635 | − | 8.73962i | 0.770871 | − | 0.379267i | ||||
\(532\) | −5.09745 | − | 8.30884i | −0.221002 | − | 0.360234i | ||||
\(533\) | 12.9915 | 0.562726 | ||||||||
\(534\) | −39.8896 | + | 5.98688i | −1.72619 | + | 0.259078i | ||||
\(535\) | −4.25316 | − | 2.45556i | −0.183880 | − | 0.106163i | ||||
\(536\) | −0.783272 | − | 34.2224i | −0.0338322 | − | 1.47818i | ||||
\(537\) | −0.231008 | + | 6.95837i | −0.00996875 | + | 0.300276i | ||||
\(538\) | 18.4710 | − | 3.40241i | 0.796341 | − | 0.146688i | ||||
\(539\) | −4.83838 | + | 31.6550i | −0.208404 | + | 1.36348i | ||||
\(540\) | 5.34692 | − | 1.44970i | 0.230095 | − | 0.0623850i | ||||
\(541\) | 23.8925 | − | 13.7944i | 1.02722 | − | 0.593066i | 0.111033 | − | 0.993817i | \(-0.464584\pi\) |
0.916187 | + | 0.400751i | \(0.131251\pi\) | |||||||
\(542\) | −8.91027 | + | 25.0742i | −0.382729 | + | 1.07703i | ||||
\(543\) | 22.7041 | − | 12.1221i | 0.974328 | − | 0.520211i | ||||
\(544\) | −3.32494 | + | 24.2262i | −0.142556 | + | 1.03869i | ||||
\(545\) | 2.61113 | 0.111849 | ||||||||
\(546\) | −31.6966 | − | 6.05191i | −1.35649 | − | 0.258998i | ||||
\(547\) | 32.0757i | 1.37146i | 0.727856 | + | 0.685730i | \(0.240517\pi\) | ||||
−0.727856 | + | 0.685730i | \(0.759483\pi\) | |||||||
\(548\) | 5.70579 | − | 7.01449i | 0.243739 | − | 0.299644i | ||||
\(549\) | −6.43963 | − | 0.428045i | −0.274837 | − | 0.0182685i | ||||
\(550\) | −28.7481 | − | 10.2158i | −1.22582 | − | 0.435603i | ||||
\(551\) | 7.13420 | + | 12.3568i | 0.303927 | + | 0.526417i | ||||
\(552\) | 0.584816 | + | 0.00602542i | 0.0248914 | + | 0.000256459i | ||||
\(553\) | 0.0918460 | − | 0.0788743i | 0.00390569 | − | 0.00335407i | ||||
\(554\) | −32.3353 | + | 5.95626i | −1.37380 | + | 0.253057i | ||||
\(555\) | 0.248430 | − | 7.48314i | 0.0105453 | − | 0.317642i | ||||
\(556\) | 4.70420 | − | 29.2845i | 0.199503 | − | 1.24194i | ||||
\(557\) | 8.23577 | − | 14.2648i | 0.348961 | − | 0.604417i | −0.637104 | − | 0.770777i | \(-0.719868\pi\) |
0.986065 | + | 0.166360i | \(0.0532014\pi\) | |||||||
\(558\) | 3.76285 | − | 8.70968i | 0.159294 | − | 0.368710i | ||||
\(559\) | − | 9.32199i | − | 0.394278i | ||||||
\(560\) | 2.15013 | + | 5.21582i | 0.0908596 | + | 0.220409i | ||||
\(561\) | 29.0782 | + | 18.1006i | 1.22768 | + | 0.764209i | ||||
\(562\) | 19.5138 | + | 22.8986i | 0.823138 | + | 0.965918i | ||||
\(563\) | −14.5542 | − | 8.40290i | −0.613388 | − | 0.354140i | 0.160902 | − | 0.986970i | \(-0.448560\pi\) |
−0.774290 | + | 0.632830i | \(0.781893\pi\) | |||||||
\(564\) | −13.2560 | + | 15.2346i | −0.558179 | + | 0.641493i | ||||
\(565\) | 1.03315 | + | 1.78947i | 0.0434651 | + | 0.0752837i | ||||
\(566\) | −2.20933 | − | 11.9940i | −0.0928650 | − | 0.504145i | ||||
\(567\) | 19.9591 | − | 12.9859i | 0.838203 | − | 0.545358i | ||||
\(568\) | 14.9974 | − | 9.12255i | 0.629277 | − | 0.382774i | ||||
\(569\) | 32.1947 | − | 18.5876i | 1.34967 | − | 0.779235i | 0.361471 | − | 0.932383i | \(-0.382275\pi\) |
0.988203 | + | 0.153149i | \(0.0489414\pi\) | |||||||
\(570\) | −1.88161 | + | 1.49861i | −0.0788121 | + | 0.0627700i | ||||
\(571\) | −6.80801 | − | 3.93061i | −0.284906 | − | 0.164491i | 0.350736 | − | 0.936474i | \(-0.385931\pi\) |
−0.635642 | + | 0.771984i | \(0.719265\pi\) | |||||||
\(572\) | −35.3411 | − | 28.7475i | −1.47769 | − | 1.20199i | ||||
\(573\) | −18.0896 | + | 29.0605i | −0.755704 | + | 1.21402i | ||||
\(574\) | −7.59674 | − | 6.13156i | −0.317082 | − | 0.255927i | ||||
\(575\) | 0.562982i | 0.0234780i | ||||||||
\(576\) | 11.5692 | + | 21.0274i | 0.482050 | + | 0.876144i | ||||
\(577\) | 14.7236 | + | 8.50067i | 0.612951 | + | 0.353888i | 0.774120 | − | 0.633039i | \(-0.218193\pi\) |
−0.161168 | + | 0.986927i | \(0.551526\pi\) | |||||||
\(578\) | 2.24721 | + | 0.798558i | 0.0934715 | + | 0.0332156i | ||||
\(579\) | −0.723236 | + | 21.7851i | −0.0300567 | + | 0.905359i | ||||
\(580\) | −2.94242 | − | 7.71589i | −0.122177 | − | 0.320385i | ||||
\(581\) | 10.0484 | − | 1.89048i | 0.416880 | − | 0.0784303i | ||||
\(582\) | 16.3864 | + | 6.44303i | 0.679240 | + | 0.267072i | ||||
\(583\) | 10.4891 | + | 18.1677i | 0.434415 | + | 0.752429i | ||||
\(584\) | 0.624395 | + | 27.2808i | 0.0258376 | + | 1.12889i | ||||
\(585\) | −0.528142 | + | 7.94551i | −0.0218360 | + | 0.328506i | ||||
\(586\) | −20.8626 | − | 24.4814i | −0.861826 | − | 1.01132i | ||||
\(587\) | 24.3750i | 1.00606i | 0.864268 | + | 0.503032i | \(0.167782\pi\) | ||||
−0.864268 | + | 0.503032i | \(0.832218\pi\) | |||||||
\(588\) | 15.6781 | + | 18.4985i | 0.646556 | + | 0.762867i | ||||
\(589\) | 4.11963i | 0.169746i | ||||||||
\(590\) | 3.78653 | − | 3.22681i | 0.155889 | − | 0.132846i | ||||
\(591\) | 12.8620 | − | 6.86725i | 0.529072 | − | 0.282481i | ||||
\(592\) | 31.7566 | − | 6.60433i | 1.30519 | − | 0.271436i | ||||
\(593\) | −0.0286004 | − | 0.0495374i | −0.00117448 | − | 0.00203426i | 0.865438 | − | 0.501017i | \(-0.167041\pi\) |
−0.866612 | + | 0.498983i | \(0.833707\pi\) | |||||||
\(594\) | 33.5021 | − | 2.77364i | 1.37461 | − | 0.113804i | ||||
\(595\) | 5.99174 | − | 1.12726i | 0.245637 | − | 0.0462133i | ||||
\(596\) | −40.2576 | + | 15.3520i | −1.64902 | + | 0.628844i | ||||
\(597\) | 24.7824 | + | 0.822741i | 1.01428 | + | 0.0336726i | ||||
\(598\) | −0.281485 | + | 0.792122i | −0.0115108 | + | 0.0323923i | ||||
\(599\) | −35.8620 | − | 20.7049i | −1.46528 | − | 0.845980i | −0.466033 | − | 0.884768i | \(-0.654317\pi\) |
−0.999247 | + | 0.0387877i | \(0.987650\pi\) | |||||||
\(600\) | −20.1255 | + | 11.3446i | −0.821620 | + | 0.463142i | ||||
\(601\) | − | 23.8559i | − | 0.973104i | −0.873652 | − | 0.486552i | \(-0.838254\pi\) | ||
0.873652 | − | 0.486552i | \(-0.161746\pi\) | |||||||
\(602\) | −4.39966 | + | 5.45099i | −0.179317 | + | 0.222166i | ||||
\(603\) | −32.5783 | + | 16.0285i | −1.32669 | + | 0.652731i | ||||
\(604\) | −4.36808 | − | 3.55312i | −0.177735 | − | 0.144574i | ||||
\(605\) | 4.58317 | + | 2.64609i | 0.186332 | + | 0.107579i | ||||
\(606\) | −7.37674 | + | 5.87521i | −0.299660 | + | 0.238664i | ||||
\(607\) | −33.6542 | + | 19.4303i | −1.36598 | + | 0.788650i | −0.990412 | − | 0.138144i | \(-0.955886\pi\) |
−0.375570 | + | 0.926794i | \(0.622553\pi\) | |||||||
\(608\) | −8.23248 | − | 6.38917i | −0.333871 | − | 0.259115i | ||||
\(609\) | −22.2182 | − | 27.6799i | −0.900325 | − | 1.12164i | ||||
\(610\) | −1.59500 | + | 0.293803i | −0.0645796 | + | 0.0118958i | ||||
\(611\) | −14.5136 | − | 25.1382i | −0.587156 | − | 1.01698i | ||||
\(612\) | 24.7939 | − | 7.61396i | 1.00223 | − | 0.307776i | ||||
\(613\) | −16.8751 | − | 9.74286i | −0.681580 | − | 0.393510i | 0.118870 | − | 0.992910i | \(-0.462073\pi\) |
−0.800450 | + | 0.599400i | \(0.795406\pi\) | |||||||
\(614\) | 24.5597 | − | 20.9294i | 0.991150 | − | 0.844641i | ||||
\(615\) | −1.27311 | + | 2.04521i | −0.0513366 | + | 0.0824710i | ||||
\(616\) | 7.09771 | + | 33.4898i | 0.285975 | + | 1.34934i | ||||
\(617\) | − | 21.5819i | − | 0.868854i | −0.900707 | − | 0.434427i | \(-0.856951\pi\) | ||
0.900707 | − | 0.434427i | \(-0.143049\pi\) | |||||||
\(618\) | −1.93539 | − | 12.8952i | −0.0778528 | − | 0.518720i | ||||
\(619\) | −5.60757 | + | 9.71259i | −0.225387 | + | 0.390382i | −0.956436 | − | 0.291944i | \(-0.905698\pi\) |
0.731048 | + | 0.682326i | \(0.239031\pi\) | |||||||
\(620\) | 0.378153 | − | 2.35407i | 0.0151870 | − | 0.0945418i | ||||
\(621\) | −0.255230 | − | 0.565385i | −0.0102420 | − | 0.0226881i | ||||
\(622\) | −6.14199 | − | 33.3436i | −0.246271 | − | 1.33696i | ||||
\(623\) | −33.0529 | + | 28.3847i | −1.32424 | + | 1.13721i | ||||
\(624\) | −33.9890 | + | 5.89948i | −1.36065 | + | 0.236168i | ||||
\(625\) | −10.4090 | − | 18.0290i | −0.416362 | − | 0.721160i | ||||
\(626\) | −10.6307 | + | 29.9158i | −0.424890 | + | 1.19568i | ||||
\(627\) | −12.8762 | + | 6.87482i | −0.514225 | + | 0.274554i | ||||
\(628\) | 10.9980 | + | 8.94611i | 0.438869 | + | 0.356988i | ||||
\(629\) | − | 35.0534i | − | 1.39767i | ||||||
\(630\) | 4.05884 | − | 4.39683i | 0.161708 | − | 0.175174i | ||||
\(631\) | −22.3220 | −0.888626 | −0.444313 | − | 0.895872i | \(-0.646552\pi\) | ||||
−0.444313 | + | 0.895872i | \(0.646552\pi\) | |||||||
\(632\) | 0.0621306 | − | 0.113536i | 0.00247142 | − | 0.00451623i | ||||
\(633\) | −7.85036 | − | 14.7033i | −0.312024 | − | 0.584404i | ||||
\(634\) | 2.82699 | + | 1.00459i | 0.112274 | + | 0.0398973i | ||||
\(635\) | −3.78105 | + | 2.18299i | −0.150046 | + | 0.0866292i | ||||
\(636\) | 15.5922 | + | 3.03854i | 0.618270 | + | 0.120486i | ||||
\(637\) | −32.4716 | + | 12.6665i | −1.28657 | + | 0.501866i | ||||
\(638\) | −9.07756 | − | 49.2803i | −0.359384 | − | 1.95102i | ||||
\(639\) | −15.4714 | − | 10.3583i | −0.612040 | − | 0.409770i | ||||
\(640\) | 4.11779 | + | 4.40664i | 0.162770 | + | 0.174188i | ||||
\(641\) | 10.9414 | + | 6.31703i | 0.432160 | + | 0.249508i | 0.700266 | − | 0.713882i | \(-0.253065\pi\) |
−0.268107 | + | 0.963389i | \(0.586398\pi\) | |||||||
\(642\) | −22.3164 | + | 3.34939i | −0.880759 | + | 0.132190i | ||||
\(643\) | −25.9092 | −1.02176 | −0.510879 | − | 0.859652i | \(-0.670680\pi\) | ||||
−0.510879 | + | 0.859652i | \(0.670680\pi\) | |||||||
\(644\) | 0.538452 | − | 0.330338i | 0.0212180 | − | 0.0130172i | ||||
\(645\) | 1.46753 | + | 0.913508i | 0.0577839 | + | 0.0359693i | ||||
\(646\) | −8.57157 | + | 7.30454i | −0.337244 | + | 0.287393i | ||||
\(647\) | 8.29783 | − | 14.3723i | 0.326221 | − | 0.565032i | −0.655538 | − | 0.755163i | \(-0.727558\pi\) |
0.981759 | + | 0.190131i | \(0.0608912\pi\) | |||||||
\(648\) | 15.0683 | − | 20.5170i | 0.591938 | − | 0.805984i | ||||
\(649\) | 26.1438 | − | 15.0941i | 1.02623 | − | 0.592496i | ||||
\(650\) | −6.01570 | − | 32.6580i | −0.235955 | − | 1.28095i | ||||
\(651\) | −1.55956 | − | 10.1286i | −0.0611240 | − | 0.396971i | ||||
\(652\) | −4.64313 | − | 12.1757i | −0.181839 | − | 0.476836i | ||||
\(653\) | −2.57443 | − | 4.45904i | −0.100745 | − | 0.174496i | 0.811247 | − | 0.584704i | \(-0.198789\pi\) |
−0.911992 | + | 0.410208i | \(0.865456\pi\) | |||||||
\(654\) | 9.38511 | − | 7.47478i | 0.366987 | − | 0.292287i | ||||
\(655\) | 5.71124 | − | 9.89216i | 0.223157 | − | 0.386519i | ||||
\(656\) | −9.91149 | − | 3.26867i | −0.386979 | − | 0.127620i | ||||
\(657\) | 25.9702 | − | 12.7773i | 1.01319 | − | 0.498490i | ||||
\(658\) | −3.37766 | + | 21.5494i | −0.131675 | + | 0.840082i | ||||
\(659\) | −20.6891 | −0.805934 | −0.402967 | − | 0.915214i | \(-0.632021\pi\) | ||||
−0.402967 | + | 0.915214i | \(0.632021\pi\) | |||||||
\(660\) | 7.98887 | − | 2.74652i | 0.310966 | − | 0.106908i | ||||
\(661\) | 12.3911 | − | 21.4621i | 0.481960 | − | 0.834779i | −0.517826 | − | 0.855486i | \(-0.673258\pi\) |
0.999786 | + | 0.0207072i | \(0.00659177\pi\) | |||||||
\(662\) | −0.686108 | + | 1.93076i | −0.0266663 | + | 0.0750413i | ||||
\(663\) | −1.23699 | + | 37.2603i | −0.0480408 | + | 1.44707i | ||||
\(664\) | 9.33873 | − | 5.68053i | 0.362413 | − | 0.220447i | ||||
\(665\) | −0.860676 | + | 2.45151i | −0.0333756 | + | 0.0950657i | ||||
\(666\) | −20.5288 | − | 27.6076i | −0.795473 | − | 1.06977i | ||||
\(667\) | −0.800778 | + | 0.462329i | −0.0310063 | + | 0.0179015i | ||||
\(668\) | 5.47091 | − | 34.0574i | 0.211676 | − | 1.31772i | ||||
\(669\) | −16.4657 | − | 30.8393i | −0.636599 | − | 1.19232i | ||||
\(670\) | −6.94451 | + | 5.91799i | −0.268290 | + | 0.228632i | ||||
\(671\) | −9.84137 | −0.379922 | ||||||||
\(672\) | 22.6593 | + | 12.5920i | 0.874100 | + | 0.485746i | ||||
\(673\) | 0.492833 | 0.0189973 | 0.00949866 | − | 0.999955i | \(-0.496976\pi\) | ||||
0.00949866 | + | 0.999955i | \(0.496976\pi\) | |||||||
\(674\) | 23.3231 | − | 19.8755i | 0.898372 | − | 0.765577i | ||||
\(675\) | 19.8983 | + | 14.3007i | 0.765887 | + | 0.550433i | ||||
\(676\) | 3.74079 | − | 23.2871i | 0.143877 | − | 0.895659i | ||||
\(677\) | −35.2987 | + | 20.3797i | −1.35664 | + | 0.783256i | −0.989169 | − | 0.146779i | \(-0.953109\pi\) |
−0.367471 | + | 0.930035i | \(0.619776\pi\) | |||||||
\(678\) | 8.83609 | + | 3.47429i | 0.339348 | + | 0.133429i | ||||
\(679\) | 18.6905 | − | 3.51636i | 0.717276 | − | 0.134946i | ||||
\(680\) | 5.56854 | − | 3.38721i | 0.213544 | − | 0.129894i | ||||
\(681\) | 2.06693 | + | 0.0686192i | 0.0792049 | + | 0.00262949i | ||||
\(682\) | 4.84442 | − | 13.6326i | 0.185502 | − | 0.522019i | ||||
\(683\) | −14.8402 | + | 25.7039i | −0.567843 | + | 0.983532i | 0.428936 | + | 0.903335i | \(0.358888\pi\) |
−0.996779 | + | 0.0801976i | \(0.974445\pi\) | |||||||
\(684\) | −2.47301 | + | 10.7728i | −0.0945577 | + | 0.411910i | ||||
\(685\) | −2.41009 | −0.0920846 | ||||||||
\(686\) | 24.9658 | + | 7.91882i | 0.953200 | + | 0.302342i | ||||
\(687\) | −33.5322 | − | 20.8731i | −1.27933 | − | 0.796360i | ||||
\(688\) | −2.34541 | + | 7.11192i | −0.0894179 | + | 0.271139i | ||||
\(689\) | −11.4168 | + | 19.7744i | −0.434944 | + | 0.753346i | ||||
\(690\) | −0.0971170 | − | 0.121937i | −0.00369718 | − | 0.00464207i | ||||
\(691\) | −3.83116 | − | 6.63576i | −0.145744 | − | 0.252436i | 0.783906 | − | 0.620879i | \(-0.213224\pi\) |
−0.929650 | + | 0.368443i | \(0.879891\pi\) | |||||||
\(692\) | −11.9636 | − | 31.3721i | −0.454787 | − | 1.19259i | ||||
\(693\) | 29.0550 | − | 21.7771i | 1.10371 | − | 0.827242i | ||||
\(694\) | 7.03883 | + | 38.2124i | 0.267190 | + | 1.45052i | ||||
\(695\) | −6.84645 | + | 3.95280i | −0.259701 | + | 0.149938i | ||||
\(696\) | −32.6638 | − | 19.3099i | −1.23812 | − | 0.731939i | ||||
\(697\) | −5.63936 | + | 9.76765i | −0.213606 | + | 0.369976i | ||||
\(698\) | 16.8134 | − | 14.3281i | 0.636398 | − | 0.542327i | ||||
\(699\) | −14.9111 | + | 23.9543i | −0.563988 | + | 0.906034i | ||||
\(700\) | −11.8958 | + | 21.9358i | −0.449620 | + | 0.829097i | ||||
\(701\) | 6.75507 | 0.255136 | 0.127568 | − | 0.991830i | \(-0.459283\pi\) | ||||
0.127568 | + | 0.991830i | \(0.459283\pi\) | |||||||
\(702\) | 20.8470 | + | 30.0702i | 0.786819 | + | 1.13493i | ||||
\(703\) | 12.9369 | + | 7.46910i | 0.487923 | + | 0.281702i | ||||
\(704\) | 19.7295 | + | 30.8238i | 0.743585 | + | 1.16172i | ||||
\(705\) | 5.37969 | + | 0.178598i | 0.202611 | + | 0.00672640i | ||||
\(706\) | 3.44636 | + | 18.7096i | 0.129706 | + | 0.704145i | ||||
\(707\) | −3.37423 | + | 9.61100i | −0.126901 | + | 0.361459i | ||||
\(708\) | 4.37254 | − | 22.4376i | 0.164330 | − | 0.843256i | ||||
\(709\) | −36.0884 | + | 20.8357i | −1.35533 | + | 0.782499i | −0.988990 | − | 0.147982i | \(-0.952722\pi\) |
−0.366339 | + | 0.930482i | \(0.619389\pi\) | |||||||
\(710\) | −4.40877 | − | 1.56668i | −0.165458 | − | 0.0587965i | ||||
\(711\) | −0.136973 | − | 0.00910466i | −0.00513689 | − | 0.000341452i | ||||
\(712\) | −22.3591 | + | 40.8586i | −0.837944 | + | 1.53124i | ||||
\(713\) | −0.266971 | −0.00999815 | ||||||||
\(714\) | 18.3090 | − | 21.2040i | 0.685195 | − | 0.793540i | ||||
\(715\) | 12.1427i | 0.454112i | ||||||||
\(716\) | 6.23655 | + | 5.07299i | 0.233071 | + | 0.189587i | ||||
\(717\) | 16.5127 | + | 30.9275i | 0.616680 | + | 1.15501i | ||||
\(718\) | −10.9258 | + | 30.7462i | −0.407749 | + | 1.14744i | ||||
\(719\) | −23.2782 | − | 40.3190i | −0.868131 | − | 1.50365i | −0.863904 | − | 0.503656i | \(-0.831988\pi\) |
−0.00422645 | − | 0.999991i | \(-0.501345\pi\) | |||||||
\(720\) | 2.40202 | − | 5.92890i | 0.0895179 | − | 0.220957i | ||||
\(721\) | −9.17600 | − | 10.6851i | −0.341732 | − | 0.397934i | ||||
\(722\) | 3.99823 | + | 21.7056i | 0.148799 | + | 0.807799i | ||||
\(723\) | −15.9774 | − | 0.530429i | −0.594208 | − | 0.0197269i | ||||
\(724\) | 4.71360 | − | 29.3431i | 0.175180 | − | 1.09053i | ||||
\(725\) | 18.2630 | − | 31.6325i | 0.678271 | − | 1.17480i | ||||
\(726\) | 24.0480 | − | 3.60928i | 0.892505 | − | 0.133953i | ||||
\(727\) | 10.7218i | 0.397651i | 0.980035 | + | 0.198825i | \(0.0637127\pi\) | ||||
−0.980035 | + | 0.198825i | \(0.936287\pi\) | |||||||
\(728\) | −27.7053 | + | 24.9162i | −1.02683 | + | 0.923456i | ||||
\(729\) | −26.4665 | − | 5.34075i | −0.980241 | − | 0.197805i | ||||
\(730\) | 5.53590 | − | 4.71760i | 0.204893 | − | 0.174606i | ||||
\(731\) | 7.00871 | + | 4.04648i | 0.259227 | + | 0.149665i | ||||
\(732\) | −4.89180 | + | 5.62195i | −0.180806 | + | 0.207793i | ||||
\(733\) | 12.5202 | + | 21.6857i | 0.462445 | + | 0.800979i | 0.999082 | − | 0.0428345i | \(-0.0136388\pi\) |
−0.536637 | + | 0.843813i | \(0.680305\pi\) | |||||||
\(734\) | −30.0145 | + | 5.52876i | −1.10786 | + | 0.204070i | ||||
\(735\) | 1.18801 | − | 6.35316i | 0.0438203 | − | 0.234340i | ||||
\(736\) | 0.414048 | − | 0.533503i | 0.0152620 | − | 0.0196652i | ||||
\(737\) | −47.9478 | + | 27.6827i | −1.76618 | + | 1.01971i | ||||
\(738\) | 1.27887 | + | 10.9955i | 0.0470758 | + | 0.404751i | ||||
\(739\) | 45.0173 | + | 25.9908i | 1.65599 | + | 0.956086i | 0.974538 | + | 0.224224i | \(0.0719846\pi\) |
0.681452 | + | 0.731863i | \(0.261349\pi\) | |||||||
\(740\) | −6.70688 | − | 5.45557i | −0.246550 | − | 0.200551i | ||||
\(741\) | −13.4878 | − | 8.39588i | −0.495486 | − | 0.308430i | ||||
\(742\) | 16.0088 | − | 6.17468i | 0.587700 | − | 0.226679i | ||||
\(743\) | 26.4603i | 0.970735i | 0.874310 | + | 0.485367i | \(0.161314\pi\) | ||||
−0.874310 | + | 0.485367i | \(0.838686\pi\) | |||||||
\(744\) | −5.37972 | − | 9.54370i | −0.197230 | − | 0.349889i | ||||
\(745\) | 9.94549 | + | 5.74203i | 0.364375 | + | 0.210372i | ||||
\(746\) | 0.0868790 | − | 0.244485i | 0.00318087 | − | 0.00895122i | ||||
\(747\) | −9.63391 | − | 6.45004i | −0.352486 | − | 0.235995i | ||||
\(748\) | 36.9546 | − | 14.0924i | 1.35119 | − | 0.515270i | ||||
\(749\) | −18.4916 | + | 15.8800i | −0.675670 | + | 0.580242i | ||||
\(750\) | 11.8068 | + | 4.64237i | 0.431125 | + | 0.169515i | ||||
\(751\) | −9.69510 | − | 16.7924i | −0.353779 | − | 0.612763i | 0.633129 | − | 0.774046i | \(-0.281770\pi\) |
−0.986908 | + | 0.161283i | \(0.948437\pi\) | |||||||
\(752\) | 4.74790 | + | 22.8300i | 0.173138 | + | 0.832526i | ||||
\(753\) | −6.70694 | − | 12.5617i | −0.244414 | − | 0.457775i | ||||
\(754\) | 41.5122 | − | 35.3759i | 1.51178 | − | 1.28832i | ||||
\(755\) | 1.50081i | 0.0546202i | ||||||||
\(756\) | 2.00192 | − | 27.4225i | 0.0728093 | − | 0.997346i | ||||
\(757\) | 5.19772i | 0.188914i | 0.995529 | + | 0.0944572i | \(0.0301115\pi\) | ||||
−0.995529 | + | 0.0944572i | \(0.969888\pi\) | |||||||
\(758\) | 2.69091 | + | 3.15767i | 0.0977382 | + | 0.114692i | ||||
\(759\) | −0.445520 | − | 0.834436i | −0.0161714 | − | 0.0302881i | ||||
\(760\) | 0.0635562 | + | 2.77687i | 0.00230543 | + | 0.100728i | ||||
\(761\) | 18.8681 | + | 32.6805i | 0.683969 | + | 1.18467i | 0.973760 | + | 0.227578i | \(0.0730808\pi\) |
−0.289791 | + | 0.957090i | \(0.593586\pi\) | |||||||
\(762\) | −7.34095 | + | 18.6701i | −0.265934 | + | 0.676346i | ||||
\(763\) | 4.29288 | − | 12.2277i | 0.155413 | − | 0.442671i | ||||
\(764\) | 14.0839 | + | 36.9321i | 0.509536 | + | 1.33616i | ||||
\(765\) | −5.74456 | − | 3.84606i | −0.207695 | − | 0.139055i | ||||
\(766\) | 20.4547 | + | 7.26871i | 0.739060 | + | 0.262629i | ||||
\(767\) | 28.4559 | + | 16.4290i | 1.02748 | + | 0.593218i | ||||
\(768\) | 27.4152 | + | 4.05080i | 0.989259 | + | 0.146171i | ||||
\(769\) | − | 13.9517i | − | 0.503110i | −0.967843 | − | 0.251555i | \(-0.919058\pi\) | ||
0.967843 | − | 0.251555i | \(-0.0809419\pi\) | |||||||
\(770\) | 5.73096 | − | 7.10041i | 0.206529 | − | 0.255881i | ||||
\(771\) | 19.7471 | + | 12.2921i | 0.711173 | + | 0.442691i | ||||
\(772\) | 19.5253 | + | 15.8824i | 0.702729 | + | 0.571620i | ||||
\(773\) | 21.5519 | + | 12.4430i | 0.775169 | + | 0.447544i | 0.834715 | − | 0.550682i | \(-0.185632\pi\) |
−0.0595465 | + | 0.998226i | \(0.518965\pi\) | |||||||
\(774\) | 7.88976 | − | 0.917644i | 0.283592 | − | 0.0329840i | ||||
\(775\) | 9.13305 | − | 5.27297i | 0.328069 | − | 0.189411i | ||||
\(776\) | 17.3704 | − | 10.5660i | 0.623561 | − | 0.379297i | ||||
\(777\) | −34.6344 | − | 13.4662i | −1.24250 | − | 0.483096i | ||||
\(778\) | 1.02507 | + | 5.56492i | 0.0367506 | + | 0.199512i | ||||
\(779\) | −2.40324 | − | 4.16254i | −0.0861051 | − | 0.149138i | ||||
\(780\) | 6.93662 | + | 6.03573i | 0.248371 | + | 0.216114i | ||||
\(781\) | −24.5878 | − | 14.1958i | −0.879822 | − | 0.507966i | ||||
\(782\) | −0.473368 | − | 0.555478i | −0.0169276 | − | 0.0198638i | ||||
\(783\) | −4.00028 | + | 40.0471i | −0.142958 | + | 1.43117i | ||||
\(784\) | 27.9601 | − | 1.49368i | 0.998576 | − | 0.0533457i | ||||
\(785\) | − | 3.77877i | − | 0.134870i | ||||||
\(786\) | −7.79014 | − | 51.9044i | −0.277865 | − | 1.85137i | ||||
\(787\) | −4.90837 | + | 8.50154i | −0.174964 | + | 0.303047i | −0.940149 | − | 0.340764i | \(-0.889314\pi\) |
0.765185 | + | 0.643811i | \(0.222648\pi\) | |||||||
\(788\) | 2.67028 | − | 16.6230i | 0.0951247 | − | 0.592169i | ||||
\(789\) | −26.0685 | − | 0.865440i | −0.928065 | − | 0.0308105i | ||||
\(790\) | −0.0339262 | + | 0.00624930i | −0.00120704 | + | 0.000222340i | ||||
\(791\) | 10.0785 | − | 1.89613i | 0.358350 | − | 0.0674188i | ||||
\(792\) | 20.8518 | − | 32.7412i | 0.740936 | − | 1.16341i | ||||
\(793\) | −5.35587 | − | 9.27663i | −0.190192 | − | 0.329423i | ||||
\(794\) | −31.2341 | − | 11.0992i | −1.10846 | − | 0.393897i | ||||
\(795\) | −1.99424 | − | 3.73510i | −0.0707283 | − | 0.132470i | ||||
\(796\) | 18.0676 | − | 22.2116i | 0.640388 | − | 0.787269i | ||||
\(797\) | 11.3322i | 0.401406i | 0.979652 | + | 0.200703i | \(0.0643226\pi\) | ||||
−0.979652 | + | 0.200703i | \(0.935677\pi\) | |||||||
\(798\) | 3.92435 | + | 11.2752i | 0.138920 | + | 0.399139i | ||||
\(799\) | 25.2002 | 0.891518 | ||||||||
\(800\) | −3.62726 | + | 26.4290i | −0.128243 | + | 0.934405i | ||||
\(801\) | 49.2929 | + | 3.27653i | 1.74168 | + | 0.115770i | ||||
\(802\) | −7.95264 | + | 22.3794i | −0.280817 | + | 0.790244i | ||||
\(803\) | 38.2222 | − | 22.0676i | 1.34883 | − | 0.778748i | ||||
\(804\) | −8.01926 | + | 41.1506i | −0.282817 | + | 1.45127i | ||||
\(805\) | −0.158870 | − | 0.0557758i | −0.00559942 | − | 0.00196584i | ||||
\(806\) | 15.4867 | − | 2.85270i | 0.545497 | − | 0.100482i | ||||
\(807\) | −22.9902 | − | 0.763242i | −0.809292 | − | 0.0268674i | ||||
\(808\) | 0.249168 | + | 10.8866i | 0.00876570 | + | 0.382988i | ||||
\(809\) | 19.0031 | + | 10.9714i | 0.668113 | + | 0.385735i | 0.795361 | − | 0.606136i | \(-0.207281\pi\) |
−0.127248 | + | 0.991871i | \(0.540615\pi\) | |||||||
\(810\) | −6.77675 | + | 0.335147i | −0.238111 | + | 0.0117759i | ||||
\(811\) | −12.2220 | −0.429171 | −0.214586 | − | 0.976705i | \(-0.568840\pi\) | ||||
−0.214586 | + | 0.976705i | \(0.568840\pi\) | |||||||
\(812\) | −40.9703 | + | 1.09357i | −1.43778 | + | 0.0383769i | ||||
\(813\) | 17.2230 | − | 27.6683i | 0.604036 | − | 0.970370i | ||||
\(814\) | −34.0272 | − | 39.9295i | −1.19265 | − | 1.39953i | ||||
\(815\) | −1.73664 | + | 3.00796i | −0.0608320 | + | 0.105364i | ||||
\(816\) | 10.3184 | − | 28.1154i | 0.361217 | − | 0.984236i | ||||
\(817\) | −2.98680 | + | 1.72443i | −0.104495 | + | 0.0603302i | ||||
\(818\) | −19.2314 | + | 3.54248i | −0.672410 | + | 0.123860i | ||||
\(819\) | 36.3397 | + | 15.5362i | 1.26981 | + | 0.542879i | ||||
\(820\) | 0.991189 | + | 2.59919i | 0.0346138 | + | 0.0907678i | ||||
\(821\) | 22.2720 | + | 38.5763i | 0.777299 | + | 1.34632i | 0.933493 | + | 0.358595i | \(0.116744\pi\) |
−0.156195 | + | 0.987726i | \(0.549923\pi\) | |||||||
\(822\) | −8.66250 | + | 6.89925i | −0.302139 | + | 0.240639i | ||||
\(823\) | 13.6219 | − | 23.5938i | 0.474830 | − | 0.822429i | −0.524755 | − | 0.851254i | \(-0.675843\pi\) |
0.999584 | + | 0.0288241i | \(0.00917627\pi\) | |||||||
\(824\) | −13.2085 | − | 7.22808i | −0.460139 | − | 0.251802i | ||||
\(825\) | 31.7222 | + | 19.7464i | 1.10443 | + | 0.687483i | ||||
\(826\) | −8.88553 | − | 23.0370i | −0.309167 | − | 0.801561i | ||||
\(827\) | −10.2913 | −0.357864 | −0.178932 | − | 0.983861i | \(-0.557264\pi\) | ||||
−0.178932 | + | 0.983861i | \(0.557264\pi\) | |||||||
\(828\) | −0.698130 | − | 0.160262i | −0.0242617 | − | 0.00556950i | ||||
\(829\) | −16.2859 | + | 28.2081i | −0.565634 | + | 0.979707i | 0.431356 | + | 0.902182i | \(0.358035\pi\) |
−0.996990 | + | 0.0775252i | \(0.975298\pi\) | |||||||
\(830\) | −2.74530 | − | 0.975558i | −0.0952908 | − | 0.0338621i | ||||
\(831\) | 40.2466 | + | 1.33613i | 1.39614 | + | 0.0463499i | ||||
\(832\) | −18.3178 | + | 35.3723i | −0.635056 | + | 1.22631i | ||||
\(833\) | 4.57197 | − | 29.9120i | 0.158409 | − | 1.03639i | ||||
\(834\) | −13.2925 | + | 33.8065i | −0.460281 | + | 1.17062i | ||||
\(835\) | −7.96232 | + | 4.59705i | −0.275547 | + | 0.159087i | ||||
\(836\) | −2.67322 | + | 16.6413i | −0.0924553 | + | 0.575551i | ||||
\(837\) | −6.78151 | + | 9.43597i | −0.234403 | + | 0.326155i | ||||
\(838\) | −16.1049 | − | 18.8984i | −0.556333 | − | 0.652833i | ||||
\(839\) | −4.55619 | −0.157297 | −0.0786486 | − | 0.996902i | \(-0.525061\pi\) | ||||
−0.0786486 | + | 0.996902i | \(0.525061\pi\) | |||||||
\(840\) | −1.20750 | − | 6.80321i | −0.0416626 | − | 0.234733i | ||||
\(841\) | 30.9915 | 1.06867 | ||||||||
\(842\) | −18.2443 | − | 21.4089i | −0.628740 | − | 0.737800i | ||||
\(843\) | −17.3545 | − | 32.5041i | −0.597722 | − | 1.11950i | ||||
\(844\) | −19.0027 | − | 3.05255i | −0.654100 | − | 0.105073i | ||||
\(845\) | −5.44432 | + | 3.14328i | −0.187290 | + | 0.108132i | ||||
\(846\) | 19.8473 | − | 14.7583i | 0.682365 | − | 0.507400i | ||||
\(847\) | 19.9264 | − | 17.1122i | 0.684681 | − | 0.587981i | ||||
\(848\) | 13.6853 | − | 12.2138i | 0.469956 | − | 0.419425i | ||||
\(849\) | −0.495606 | + | 14.9285i | −0.0170091 | + | 0.512345i | ||||
\(850\) | 27.1652 | + | 9.65329i | 0.931757 | + | 0.331105i | ||||
\(851\) | −0.484032 | + | 0.838369i | −0.0165924 | + | 0.0287389i | ||||
\(852\) | −20.3312 | + | 6.98974i | −0.696535 | + | 0.239465i | ||||
\(853\) | 50.6930 | 1.73570 | 0.867848 | − | 0.496830i | \(-0.165503\pi\) | ||||
0.867848 | + | 0.496830i | \(0.165503\pi\) | |||||||
\(854\) | −1.24644 | + | 7.95226i | −0.0426523 | + | 0.272121i | ||||
\(855\) | 2.64347 | − | 1.30058i | 0.0904048 | − | 0.0444790i | ||||
\(856\) | −12.5089 | + | 22.8586i | −0.427547 | + | 0.781290i | ||||
\(857\) | −3.66887 | + | 6.35467i | −0.125326 | + | 0.217071i | −0.921860 | − | 0.387522i | \(-0.873331\pi\) |
0.796534 | + | 0.604594i | \(0.206664\pi\) | |||||||
\(858\) | 34.7605 | + | 43.6443i | 1.18670 | + | 1.48999i | ||||
\(859\) | −28.8455 | − | 49.9619i | −0.984195 | − | 1.70468i | −0.645458 | − | 0.763795i | \(-0.723334\pi\) |
−0.338737 | − | 0.940881i | \(-0.610000\pi\) | |||||||
\(860\) | 1.86503 | − | 0.711221i | 0.0635971 | − | 0.0242524i | ||||
\(861\) | 7.48446 | + | 9.32430i | 0.255070 | + | 0.317771i | ||||
\(862\) | −40.7630 | + | 7.50866i | −1.38839 | + | 0.255746i | ||||
\(863\) | 31.1345 | − | 17.9755i | 1.05983 | − | 0.611894i | 0.134445 | − | 0.990921i | \(-0.457075\pi\) |
0.925385 | + | 0.379027i | \(0.123741\pi\) | |||||||
\(864\) | −8.33892 | − | 28.1862i | −0.283696 | − | 0.958914i | ||||
\(865\) | −4.47467 | + | 7.75035i | −0.152143 | + | 0.263520i | ||||
\(866\) | −11.5051 | − | 13.5008i | −0.390959 | − | 0.458774i | ||||
\(867\) | −2.47969 | − | 1.54356i | −0.0842148 | − | 0.0524220i | ||||
\(868\) | −10.4022 | − | 5.64111i | −0.353073 | − | 0.191472i | ||||
\(869\) | −0.209329 | −0.00710101 | ||||||||
\(870\) | 1.50113 | + | 10.0018i | 0.0508932 | + | 0.339093i | ||||
\(871\) | −52.1883 | − | 30.1309i | −1.76833 | − | 1.02095i | ||||
\(872\) | −0.317006 | − | 13.8505i | −0.0107352 | − | 0.469037i | ||||
\(873\) | −17.9194 | − | 11.9973i | −0.606481 | − | 0.406048i | ||||
\(874\) | 0.305870 | − | 0.0563420i | 0.0103462 | − | 0.00190580i | ||||
\(875\) | 13.4670 | − | 2.53363i | 0.455267 | − | 0.0856523i | ||||
\(876\) | 6.39265 | − | 32.8037i | 0.215988 | − | 1.10833i | ||||
\(877\) | 43.3964 | − | 25.0550i | 1.46539 | − | 0.846046i | 0.466142 | − | 0.884710i | \(-0.345644\pi\) |
0.999252 | + | 0.0386646i | \(0.0123104\pi\) | |||||||
\(878\) | −6.44788 | + | 18.1449i | −0.217605 | + | 0.612359i | ||||
\(879\) | 18.5541 | + | 34.7509i | 0.625815 | + | 1.17212i | ||||
\(880\) | 3.05511 | − | 9.26392i | 0.102988 | − | 0.312287i | ||||
\(881\) | −47.9585 | −1.61576 | −0.807882 | − | 0.589344i | \(-0.799386\pi\) | ||||
−0.807882 | + | 0.589344i | \(0.799386\pi\) | |||||||
\(882\) | −13.9169 | − | 26.2358i | −0.468607 | − | 0.883407i | ||||
\(883\) | 0.345258i | 0.0116188i | 0.999983 | + | 0.00580942i | \(0.00184921\pi\) | ||||
−0.999983 | + | 0.00580942i | \(0.998151\pi\) | |||||||
\(884\) | 33.3952 | + | 27.1646i | 1.12320 | + | 0.913644i | ||||
\(885\) | −5.37491 | + | 2.86976i | −0.180676 | + | 0.0964660i | ||||
\(886\) | 17.9153 | + | 6.36630i | 0.601876 | + | 0.213880i | ||||
\(887\) | −13.7032 | − | 23.7346i | −0.460109 | − | 0.796931i | 0.538857 | − | 0.842397i | \(-0.318856\pi\) |
−0.998966 | + | 0.0454656i | \(0.985523\pi\) | |||||||
\(888\) | −39.7238 | − | 0.409278i | −1.33304 | − | 0.0137345i | ||||
\(889\) | 4.00641 | + | 21.2952i | 0.134371 | + | 0.714220i | ||||
\(890\) | 12.2091 | − | 2.24895i | 0.409251 | − | 0.0753851i | ||||
\(891\) | −40.8097 | − | 5.44936i | −1.36718 | − | 0.182560i | ||||
\(892\) | −39.8570 | − | 6.40254i | −1.33451 | − | 0.214373i | ||||
\(893\) | −5.36959 | + | 9.30041i | −0.179687 | + | 0.311226i | ||||
\(894\) | 52.1843 | − | 7.83215i | 1.74530 | − | 0.261946i | ||||
\(895\) | − | 2.14280i | − | 0.0716258i | ||||||
\(896\) | 27.4058 | − | 12.0384i | 0.915563 | − | 0.402175i | ||||
\(897\) | 0.544092 | − | 0.874071i | 0.0181667 | − | 0.0291844i | ||||
\(898\) | 14.9909 | + | 17.5912i | 0.500253 | + | 0.587025i | ||||
\(899\) | 15.0004 | + | 8.66049i | 0.500292 | + | 0.288844i | ||||
\(900\) | 27.0483 | − | 8.30626i | 0.901609 | − | 0.276875i | ||||
\(901\) | −9.91157 | − | 17.1673i | −0.330202 | − | 0.571927i | ||||
\(902\) | 3.05789 | + | 16.6007i | 0.101817 | + | 0.552742i | ||||
\(903\) | 6.69059 | − | 5.37043i | 0.222649 | − | 0.178717i | ||||
\(904\) | 9.36666 | − | 5.69752i | 0.311531 | − | 0.189497i | ||||
\(905\) | −6.86014 | + | 3.96070i | −0.228039 | + | 0.131658i | ||||
\(906\) | 4.29632 | + | 5.39433i | 0.142736 | + | 0.179215i | ||||
\(907\) | −7.67380 | − | 4.43047i | −0.254804 | − | 0.147111i | 0.367158 | − | 0.930159i | \(-0.380331\pi\) |
−0.621962 | + | 0.783047i | \(0.713664\pi\) | |||||||
\(908\) | 1.50689 | − | 1.85252i | 0.0500079 | − | 0.0614779i | ||||
\(909\) | 10.3636 | − | 5.09885i | 0.343737 | − | 0.169118i | ||||
\(910\) | 9.81186 | + | 1.53791i | 0.325260 | + | 0.0509813i | ||||
\(911\) | − | 17.2124i | − | 0.570272i | −0.958487 | − | 0.285136i | \(-0.907961\pi\) | ||
0.958487 | − | 0.285136i | \(-0.0920388\pi\) | |||||||
\(912\) | 8.17768 | + | 9.79890i | 0.270790 | + | 0.324474i | ||||
\(913\) | −15.3106 | − | 8.83959i | −0.506707 | − | 0.292548i | ||||
\(914\) | −39.0166 | − | 13.8648i | −1.29055 | − | 0.458605i | ||||
\(915\) | 1.98524 | + | 0.0659072i | 0.0656300 | + | 0.00217882i | ||||
\(916\) | −42.6149 | + | 16.2510i | −1.40804 | + | 0.536948i | ||||
\(917\) | −36.9343 | − | 43.0086i | −1.21968 | − | 1.42027i | ||||
\(918\) | −31.6575 | + | 2.62092i | −1.04485 | + | 0.0865032i | ||||
\(919\) | 2.91012 | + | 5.04048i | 0.0959961 | + | 0.166270i | 0.910024 | − | 0.414556i | \(-0.136063\pi\) |
−0.814028 | + | 0.580826i | \(0.802730\pi\) | |||||||
\(920\) | −0.179954 | + | 0.00411874i | −0.00593292 | + | 0.000135791i | ||||
\(921\) | −34.8621 | + | 18.6135i | −1.14875 | + | 0.613336i | ||||
\(922\) | 5.56764 | + | 6.53339i | 0.183360 | + | 0.215166i | ||||
\(923\) | − | 30.9025i | − | 1.01717i | ||||||
\(924\) | 0.272564 | − | 41.9266i | 0.00896669 | − | 1.37928i | ||||
\(925\) | − | 38.2407i | − | 1.25734i | ||||||
\(926\) | 3.55638 | − | 3.03068i | 0.116870 | − | 0.0995944i | ||||
\(927\) | −1.05921 | + | 15.9350i | −0.0347890 | + | 0.523375i | ||||
\(928\) | −40.5710 | + | 16.5445i | −1.33181 | + | 0.543101i | ||||
\(929\) | 3.36170 | + | 5.82263i | 0.110294 | + | 0.191034i | 0.915889 | − | 0.401432i | \(-0.131488\pi\) |
−0.805595 | + | 0.592467i | \(0.798154\pi\) | |||||||
\(930\) | −1.06853 | + | 2.71758i | −0.0350385 | + | 0.0891129i | ||||
\(931\) | 10.0652 | + | 8.06092i | 0.329873 | + | 0.264186i | ||||
\(932\) | 11.6092 | + | 30.4427i | 0.380271 | + | 0.997184i | ||||
\(933\) | −1.37780 | + | 41.5016i | −0.0451070 | + | 1.35870i | ||||
\(934\) | −3.84886 | + | 10.8310i | −0.125939 | + | 0.354402i | ||||
\(935\) | −9.12949 | − | 5.27091i | −0.298566 | − | 0.172377i | ||||
\(936\) | 42.2103 | + | 1.83685i | 1.37969 | + | 0.0600393i | ||||
\(937\) | 5.64519i | 0.184420i | 0.995740 | + | 0.0922102i | \(0.0293932\pi\) | ||||
−0.995740 | + | 0.0922102i | \(0.970607\pi\) | |||||||
\(938\) | 16.2961 | + | 42.2500i | 0.532086 | + | 1.37951i | ||||
\(939\) | 20.5485 | − | 33.0107i | 0.670576 | − | 1.07726i | ||||
\(940\) | 3.92205 | − | 4.82163i | 0.127923 | − | 0.157264i | ||||
\(941\) | −39.2739 | − | 22.6748i | −1.28029 | − | 0.739177i | −0.303391 | − | 0.952866i | \(-0.598119\pi\) |
−0.976902 | + | 0.213689i | \(0.931452\pi\) | |||||||
\(942\) | −10.8173 | − | 13.5819i | −0.352448 | − | 0.442523i | ||||
\(943\) | 0.269752 | − | 0.155741i | 0.00878433 | − | 0.00507164i | ||||
\(944\) | −17.5760 | − | 19.6935i | −0.572051 | − | 0.640970i | ||||
\(945\) | −6.00692 | + | 4.19837i | −0.195405 | + | 0.136573i | ||||
\(946\) | 11.9117 | − | 2.19417i | 0.387283 | − | 0.0713385i | ||||
\(947\) | −0.0324938 | − | 0.0562810i | −0.00105591 | − | 0.00182889i | 0.865497 | − | 0.500914i | \(-0.167003\pi\) |
−0.866553 | + | 0.499085i | \(0.833669\pi\) | |||||||
\(948\) | −0.104050 | + | 0.119581i | −0.00337939 | + | 0.00388380i | ||||
\(949\) | 41.6025 | + | 24.0192i | 1.35048 | + | 0.779697i | ||||
\(950\) | −9.35095 | + | 7.96871i | −0.303385 | + | 0.258539i | ||||
\(951\) | −3.11946 | − | 1.94180i | −0.101155 | − | 0.0629672i | ||||
\(952\) | −6.70690 | − | 31.6458i | −0.217372 | − | 1.02564i | ||||
\(953\) | 33.3269i | 1.07956i | 0.841805 | + | 0.539781i | \(0.181493\pi\) | ||||
−0.841805 | + | 0.539781i | \(0.818507\pi\) | |||||||
\(954\) | −17.8601 | − | 7.71614i | −0.578244 | − | 0.249819i | ||||
\(955\) | 5.26770 | − | 9.12393i | 0.170459 | − | 0.295243i | ||||
\(956\) | 39.9710 | + | 6.42085i | 1.29275 | + | 0.207665i | ||||
\(957\) | −2.03632 | + | 61.3374i | −0.0658247 | + | 1.98276i | ||||
\(958\) | −0.218212 | − | 1.18463i | −0.00705010 | − | 0.0382736i | ||||
\(959\) | −3.96235 | + | 11.2862i | −0.127951 | + | 0.364450i | ||||
\(960\) | −3.77349 | − | 6.35002i | −0.121789 | − | 0.204946i | ||||
\(961\) | −12.9995 | − | 22.5158i | −0.419339 | − | 0.726316i | ||||
\(962\) | 19.1199 | − | 53.8051i | 0.616451 | − | 1.73475i | ||||
\(963\) | 27.5772 | + | 1.83307i | 0.888663 | + | 0.0590699i | ||||
\(964\) | −11.6483 | + | 14.3200i | −0.375167 | + | 0.461217i | ||||
\(965\) | − | 6.70862i | − | 0.215958i | ||||||
\(966\) | −0.730687 | + | 0.254316i | −0.0235095 | + | 0.00818249i | ||||
\(967\) | 8.68323 | 0.279234 | 0.139617 | − | 0.990206i | \(-0.455413\pi\) | ||||
0.139617 | + | 0.990206i | \(0.455413\pi\) | |||||||
\(968\) | 13.4795 | − | 24.6322i | 0.433248 | − | 0.791710i | ||||
\(969\) | 12.1672 | − | 6.49628i | 0.390867 | − | 0.208691i | ||||
\(970\) | −5.10636 | − | 1.81458i | −0.163955 | − | 0.0582625i | ||||
\(971\) | 37.7352 | − | 21.7864i | 1.21098 | − | 0.699159i | 0.248007 | − | 0.968758i | \(-0.420225\pi\) |
0.962973 | + | 0.269599i | \(0.0868912\pi\) | |||||||
\(972\) | −23.3981 | + | 20.6041i | −0.750493 | + | 0.660878i | ||||
\(973\) | 7.25453 | + | 38.5599i | 0.232569 | + | 1.23617i | ||||
\(974\) | −1.25946 | − | 6.83735i | −0.0403557 | − | 0.219083i | ||||
\(975\) | −1.34947 | + | 40.6483i | −0.0432175 | + | 1.30179i | ||||
\(976\) | 1.75209 | + | 8.42486i | 0.0560832 | + | 0.269673i | ||||
\(977\) | −16.6770 | − | 9.62846i | −0.533544 | − | 0.308042i | 0.208914 | − | 0.977934i | \(-0.433007\pi\) |
−0.742458 | + | 0.669892i | \(0.766340\pi\) | |||||||
\(978\) | 2.36879 | + | 15.7828i | 0.0757455 | + | 0.504679i | ||||
\(979\) | 75.3320 | 2.40762 | ||||||||
\(980\) | −5.01160 | − | 5.53015i | −0.160090 | − | 0.176654i | ||||
\(981\) | −13.1851 | + | 6.48705i | −0.420968 | + | 0.207116i | ||||
\(982\) | −5.46194 | + | 4.65457i | −0.174298 | + | 0.148533i | ||||
\(983\) | 12.6512 | − | 21.9125i | 0.403510 | − | 0.698900i | −0.590637 | − | 0.806938i | \(-0.701123\pi\) |
0.994147 | + | 0.108037i | \(0.0344567\pi\) | |||||||
\(984\) | 11.0032 | + | 6.50477i | 0.350769 | + | 0.207364i | ||||
\(985\) | −3.88630 | + | 2.24376i | −0.123828 | + | 0.0714920i | ||||
\(986\) | 8.57774 | + | 46.5668i | 0.273171 | + | 1.48299i | ||||
\(987\) | 9.68094 | − | 24.8989i | 0.308148 | − | 0.792541i | ||||
\(988\) | −17.1412 | + | 6.53670i | −0.545333 | + | 0.207960i | ||||
\(989\) | −0.111751 | − | 0.193559i | −0.00355348 | − | 0.00615481i | ||||
\(990\) | −10.2771 | + | 1.19531i | −0.326629 | + | 0.0379896i | ||||
\(991\) | 6.86308 | − | 11.8872i | 0.218013 | − | 0.377609i | −0.736187 | − | 0.676778i | \(-0.763376\pi\) |
0.954200 | + | 0.299168i | \(0.0967092\pi\) | |||||||
\(992\) | −12.5329 | − | 1.72008i | −0.397919 | − | 0.0546126i | ||||
\(993\) | 1.32620 | − | 2.13051i | 0.0420857 | − | 0.0676098i | ||||
\(994\) | −14.5850 | + | 18.0701i | −0.462607 | + | 0.573149i | ||||
\(995\) | −7.63161 | −0.241938 | ||||||||
\(996\) | −12.6600 | + | 4.35244i | −0.401149 | + | 0.137912i | ||||
\(997\) | −1.12122 | + | 1.94201i | −0.0355094 | + | 0.0615041i | −0.883234 | − | 0.468933i | \(-0.844639\pi\) |
0.847725 | + | 0.530437i | \(0.177972\pi\) | |||||||
\(998\) | −9.66421 | + | 27.1959i | −0.305915 | + | 0.860871i | ||||
\(999\) | 17.3365 | + | 38.4039i | 0.548503 | + | 1.21505i |
(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 | 168.2.ba.c.101.6 | yes | 48 | |
3.2 | odd | 2 | inner | 168.2.ba.c.101.19 | yes | 48 | |
4.3 | odd | 2 | 672.2.bi.c.17.4 | 48 | |||
7.5 | odd | 6 | inner | 168.2.ba.c.5.22 | yes | 48 | |
8.3 | odd | 2 | 672.2.bi.c.17.21 | 48 | |||
8.5 | even | 2 | inner | 168.2.ba.c.101.3 | yes | 48 | |
12.11 | even | 2 | 672.2.bi.c.17.13 | 48 | |||
21.5 | even | 6 | inner | 168.2.ba.c.5.3 | ✓ | 48 | |
24.5 | odd | 2 | inner | 168.2.ba.c.101.22 | yes | 48 | |
24.11 | even | 2 | 672.2.bi.c.17.12 | 48 | |||
28.19 | even | 6 | 672.2.bi.c.593.12 | 48 | |||
56.5 | odd | 6 | inner | 168.2.ba.c.5.19 | yes | 48 | |
56.19 | even | 6 | 672.2.bi.c.593.13 | 48 | |||
84.47 | odd | 6 | 672.2.bi.c.593.21 | 48 | |||
168.5 | even | 6 | inner | 168.2.ba.c.5.6 | yes | 48 | |
168.131 | odd | 6 | 672.2.bi.c.593.4 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
168.2.ba.c.5.3 | ✓ | 48 | 21.5 | even | 6 | inner | |
168.2.ba.c.5.6 | yes | 48 | 168.5 | even | 6 | inner | |
168.2.ba.c.5.19 | yes | 48 | 56.5 | odd | 6 | inner | |
168.2.ba.c.5.22 | yes | 48 | 7.5 | odd | 6 | inner | |
168.2.ba.c.101.3 | yes | 48 | 8.5 | even | 2 | inner | |
168.2.ba.c.101.6 | yes | 48 | 1.1 | even | 1 | trivial | |
168.2.ba.c.101.19 | yes | 48 | 3.2 | odd | 2 | inner | |
168.2.ba.c.101.22 | yes | 48 | 24.5 | odd | 2 | inner | |
672.2.bi.c.17.4 | 48 | 4.3 | odd | 2 | |||
672.2.bi.c.17.12 | 48 | 24.11 | even | 2 | |||
672.2.bi.c.17.13 | 48 | 12.11 | even | 2 | |||
672.2.bi.c.17.21 | 48 | 8.3 | odd | 2 | |||
672.2.bi.c.593.4 | 48 | 168.131 | odd | 6 | |||
672.2.bi.c.593.12 | 48 | 28.19 | even | 6 | |||
672.2.bi.c.593.13 | 48 | 56.19 | even | 6 | |||
672.2.bi.c.593.21 | 48 | 84.47 | odd | 6 |