Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [648,2,Mod(11,648)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(648, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([27, 27, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("648.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 648 = 2^{3} \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 648.bb (of order \(54\), degree \(18\), 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: | \(5.17430605098\) |
Analytic rank: | \(0\) |
Dimension: | \(1872\) |
Relative dimension: | \(104\) over \(\Q(\zeta_{54})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{54}]$ |
Embedding invariants
Embedding label | 155.59 | ||
Character | \(\chi\) | \(=\) | 648.155 |
Dual form | 648.2.bb.b.347.59 |
$q$-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 \(\left(\mathbb{Z}/648\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(487\) | \(569\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{43}{54}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.243700 | + | 1.39306i | 0.172322 | + | 0.985041i | ||||
\(3\) | −0.418174 | + | 1.68081i | −0.241433 | + | 0.970418i | ||||
\(4\) | −1.88122 | + | 0.678976i | −0.940610 | + | 0.339488i | ||||
\(5\) | −0.258586 | + | 0.170075i | −0.115643 | + | 0.0760597i | −0.606013 | − | 0.795455i | \(-0.707232\pi\) |
0.490370 | + | 0.871514i | \(0.336862\pi\) | |||||||
\(6\) | −2.44338 | − | 0.172926i | −0.997505 | − | 0.0705968i | ||||
\(7\) | 0.0104041 | + | 0.00981575i | 0.00393237 | + | 0.00371000i | 0.688205 | − | 0.725516i | \(-0.258399\pi\) |
−0.684273 | + | 0.729226i | \(0.739880\pi\) | |||||||
\(8\) | −1.40431 | − | 2.45518i | −0.496497 | − | 0.868038i | ||||
\(9\) | −2.65026 | − | 1.40574i | −0.883421 | − | 0.468581i | ||||
\(10\) | −0.299941 | − | 0.318778i | −0.0948498 | − | 0.100806i | ||||
\(11\) | −1.41514 | − | 2.81777i | −0.426680 | − | 0.849589i | −0.999552 | − | 0.0299443i | \(-0.990467\pi\) |
0.572872 | − | 0.819645i | \(-0.305829\pi\) | |||||||
\(12\) | −0.354555 | − | 3.44591i | −0.102351 | − | 0.994748i | ||||
\(13\) | −2.26854 | + | 0.978551i | −0.629179 | + | 0.271401i | −0.686698 | − | 0.726943i | \(-0.740940\pi\) |
0.0575188 | + | 0.998344i | \(0.481681\pi\) | |||||||
\(14\) | −0.0111384 | + | 0.0168856i | −0.00297687 | + | 0.00451286i | ||||
\(15\) | −0.177730 | − | 0.505755i | −0.0458896 | − | 0.130585i | ||||
\(16\) | 3.07798 | − | 2.55461i | 0.769496 | − | 0.638652i | ||||
\(17\) | −1.51006 | − | 1.79963i | −0.366245 | − | 0.436473i | 0.551178 | − | 0.834388i | \(-0.314179\pi\) |
−0.917423 | + | 0.397914i | \(0.869734\pi\) | |||||||
\(18\) | 1.31241 | − | 4.03455i | 0.309339 | − | 0.950952i | ||||
\(19\) | −4.81770 | − | 4.04253i | −1.10526 | − | 0.927420i | −0.107489 | − | 0.994206i | \(-0.534281\pi\) |
−0.997767 | + | 0.0667865i | \(0.978725\pi\) | |||||||
\(20\) | 0.370981 | − | 0.495522i | 0.0829538 | − | 0.110802i | ||||
\(21\) | −0.0208491 | + | 0.0133826i | −0.00454966 | + | 0.00292033i | ||||
\(22\) | 3.58045 | − | 2.65806i | 0.763354 | − | 0.566700i | ||||
\(23\) | 4.28568 | + | 4.54255i | 0.893626 | + | 0.947188i | 0.998883 | − | 0.0472572i | \(-0.0150480\pi\) |
−0.105257 | + | 0.994445i | \(0.533567\pi\) | |||||||
\(24\) | 4.71395 | − | 1.33368i | 0.962230 | − | 0.272237i | ||||
\(25\) | −1.94246 | + | 4.50312i | −0.388492 | + | 0.900625i | ||||
\(26\) | −1.91602 | − | 2.92173i | −0.375763 | − | 0.572998i | ||||
\(27\) | 3.47106 | − | 3.86675i | 0.668006 | − | 0.744156i | ||||
\(28\) | −0.0262370 | − | 0.0114015i | −0.00495833 | − | 0.00215467i | ||||
\(29\) | −4.55258 | + | 0.532120i | −0.845393 | + | 0.0988122i | −0.527752 | − | 0.849399i | \(-0.676965\pi\) |
−0.317641 | + | 0.948211i | \(0.602891\pi\) | |||||||
\(30\) | 0.661234 | − | 0.370841i | 0.120724 | − | 0.0677059i | ||||
\(31\) | −0.306448 | − | 1.29301i | −0.0550397 | − | 0.232231i | 0.938572 | − | 0.345083i | \(-0.112149\pi\) |
−0.993612 | + | 0.112853i | \(0.964001\pi\) | |||||||
\(32\) | 4.30882 | + | 3.66525i | 0.761699 | + | 0.647931i | ||||
\(33\) | 5.32791 | − | 1.20026i | 0.927471 | − | 0.208939i | ||||
\(34\) | 2.13898 | − | 2.54218i | 0.366832 | − | 0.435980i | ||||
\(35\) | −0.00435976 | 0.000768743i | −0.000736934 | 0.000129941i | ||||||
\(36\) | 5.94019 | + | 0.845048i | 0.990032 | + | 0.140841i | ||||
\(37\) | −8.30995 | + | 1.46527i | −1.36615 | + | 0.240889i | −0.808161 | − | 0.588961i | \(-0.799537\pi\) |
−0.557986 | + | 0.829850i | \(0.688426\pi\) | |||||||
\(38\) | 4.45740 | − | 7.69650i | 0.723086 | − | 1.24854i | ||||
\(39\) | −0.696119 | − | 4.22219i | −0.111468 | − | 0.676091i | ||||
\(40\) | 0.780699 | + | 0.396039i | 0.123439 | + | 0.0626192i | ||||
\(41\) | 1.30776 | + | 0.973589i | 0.204237 | + | 0.152049i | 0.694418 | − | 0.719572i | \(-0.255662\pi\) |
−0.490181 | + | 0.871621i | \(0.663069\pi\) | |||||||
\(42\) | −0.0237237 | − | 0.0257827i | −0.00366065 | − | 0.00397836i | ||||
\(43\) | 0.0545200 | − | 0.936072i | 0.00831422 | − | 0.142750i | −0.991596 | − | 0.129371i | \(-0.958704\pi\) |
0.999911 | − | 0.0133788i | \(-0.00425872\pi\) | |||||||
\(44\) | 4.57538 | + | 4.34000i | 0.689765 | + | 0.654280i | ||||
\(45\) | 0.924402 | − | 0.0872370i | 0.137802 | − | 0.0130045i | ||||
\(46\) | −5.28362 | + | 7.07722i | −0.779027 | + | 1.04348i | ||||
\(47\) | 3.27955 | + | 0.777267i | 0.478371 | + | 0.113376i | 0.462726 | − | 0.886502i | \(-0.346871\pi\) |
0.0156456 | + | 0.999878i | \(0.495020\pi\) | |||||||
\(48\) | 3.00669 | + | 6.24178i | 0.433978 | + | 0.900924i | ||||
\(49\) | −0.407002 | − | 6.98795i | −0.0581431 | − | 0.998279i | ||||
\(50\) | −6.74649 | − | 1.60854i | −0.954097 | − | 0.227483i | ||||
\(51\) | 3.65630 | − | 1.78558i | 0.511985 | − | 0.250031i | ||||
\(52\) | 3.60321 | − | 3.38115i | 0.499675 | − | 0.468882i | ||||
\(53\) | 6.75089 | + | 11.6929i | 0.927306 | + | 1.60614i | 0.787809 | + | 0.615919i | \(0.211215\pi\) |
0.139497 | + | 0.990223i | \(0.455451\pi\) | |||||||
\(54\) | 6.23250 | + | 3.89306i | 0.848136 | + | 0.529778i | ||||
\(55\) | 0.845166 | + | 0.487957i | 0.113962 | + | 0.0657961i | ||||
\(56\) | 0.00948893 | − | 0.0393282i | 0.00126801 | − | 0.00525546i | ||||
\(57\) | 8.80937 | − | 6.40717i | 1.16683 | − | 0.848650i | ||||
\(58\) | −1.85074 | − | 6.21233i | −0.243014 | − | 0.815719i | ||||
\(59\) | 3.50853 | − | 6.98606i | 0.456772 | − | 0.909507i | −0.540886 | − | 0.841096i | \(-0.681911\pi\) |
0.997657 | − | 0.0684110i | \(-0.0217929\pi\) | |||||||
\(60\) | 0.677745 | + | 0.830763i | 0.0874965 | + | 0.107251i | ||||
\(61\) | −8.08762 | + | 2.42127i | −1.03551 | + | 0.310012i | −0.759064 | − | 0.651016i | \(-0.774343\pi\) |
−0.276450 | + | 0.961028i | \(0.589158\pi\) | |||||||
\(62\) | 1.72655 | − | 0.742005i | 0.219272 | − | 0.0942347i | ||||
\(63\) | −0.0137751 | − | 0.0406398i | −0.00173550 | − | 0.00512013i | ||||
\(64\) | −4.05585 | + | 6.89566i | −0.506981 | + | 0.861957i | ||||
\(65\) | 0.420185 | − | 0.638860i | 0.0521175 | − | 0.0792409i | ||||
\(66\) | 2.97045 | + | 7.12959i | 0.365637 | + | 0.877592i | ||||
\(67\) | −5.45235 | − | 0.637288i | −0.666110 | − | 0.0778572i | −0.223684 | − | 0.974662i | \(-0.571808\pi\) |
−0.442427 | + | 0.896805i | \(0.645882\pi\) | |||||||
\(68\) | 4.06267 | + | 2.36019i | 0.492671 | + | 0.286216i | ||||
\(69\) | −9.42734 | + | 5.30385i | −1.13492 | + | 0.638508i | ||||
\(70\) | 8.43060e−6 | − | 0.00626074i | 1.00765e−6 | − | 0.000748302i | ||||
\(71\) | −6.56741 | − | 2.39034i | −0.779408 | − | 0.283681i | −0.0784824 | − | 0.996916i | \(-0.525007\pi\) |
−0.700926 | + | 0.713234i | \(0.747230\pi\) | |||||||
\(72\) | 0.270425 | + | 8.48097i | 0.0318698 | + | 0.999492i | ||||
\(73\) | −12.6378 | + | 4.59980i | −1.47915 | + | 0.538366i | −0.950568 | − | 0.310518i | \(-0.899498\pi\) |
−0.528580 | + | 0.848884i | \(0.677275\pi\) | |||||||
\(74\) | −4.06634 | − | 11.2192i | −0.472702 | − | 1.30420i | ||||
\(75\) | −6.75662 | − | 5.14799i | −0.780187 | − | 0.594439i | ||||
\(76\) | 11.8079 | + | 4.33379i | 1.35446 | + | 0.497119i | ||||
\(77\) | 0.0129353 | − | 0.0432069i | 0.00147411 | − | 0.00492389i | ||||
\(78\) | 5.71211 | − | 1.99868i | 0.646769 | − | 0.226306i | ||||
\(79\) | 7.89736 | − | 5.87936i | 0.888522 | − | 0.661480i | −0.0529406 | − | 0.998598i | \(-0.516859\pi\) |
0.941463 | + | 0.337118i | \(0.109452\pi\) | |||||||
\(80\) | −0.361449 | + | 1.18407i | −0.0404112 | + | 0.132383i | ||||
\(81\) | 5.04777 | + | 7.45117i | 0.560864 | + | 0.827908i | ||||
\(82\) | −1.03757 | + | 2.05905i | −0.114580 | + | 0.227384i | ||||
\(83\) | −1.94464 | + | 1.44773i | −0.213452 | + | 0.158909i | −0.698575 | − | 0.715537i | \(-0.746182\pi\) |
0.485123 | + | 0.874446i | \(0.338775\pi\) | |||||||
\(84\) | 0.0301353 | − | 0.0393317i | 0.00328804 | − | 0.00429145i | ||||
\(85\) | 0.696552 | + | 0.208534i | 0.0755517 | + | 0.0226187i | ||||
\(86\) | 1.31729 | − | 0.152171i | 0.142047 | − | 0.0164090i | ||||
\(87\) | 1.00937 | − | 7.87455i | 0.108216 | − | 0.844240i | ||||
\(88\) | −4.93085 | + | 7.43143i | −0.525631 | + | 0.792193i | ||||
\(89\) | −0.233270 | − | 0.640903i | −0.0247265 | − | 0.0679356i | 0.926715 | − | 0.375764i | \(-0.122620\pi\) |
−0.951442 | + | 0.307829i | \(0.900398\pi\) | |||||||
\(90\) | 0.346803 | + | 1.26649i | 0.0365562 | + | 0.133499i | ||||
\(91\) | −0.0332073 | − | 0.0120865i | −0.00348107 | − | 0.00126700i | ||||
\(92\) | −11.1466 | − | 5.63567i | −1.16211 | − | 0.587559i | ||||
\(93\) | 2.30145 | + | 0.0256192i | 0.238649 | + | 0.00265659i | ||||
\(94\) | −0.283552 | + | 4.75802i | −0.0292462 | + | 0.490752i | ||||
\(95\) | 1.93332 | + | 0.225973i | 0.198355 | + | 0.0231843i | ||||
\(96\) | −7.96243 | + | 5.70961i | −0.812662 | + | 0.582735i | ||||
\(97\) | 5.47435 | + | 3.60054i | 0.555836 | + | 0.365579i | 0.796134 | − | 0.605120i | \(-0.206875\pi\) |
−0.240298 | + | 0.970699i | \(0.577245\pi\) | |||||||
\(98\) | 9.63544 | − | 2.26994i | 0.973326 | − | 0.229299i | ||||
\(99\) | −0.210576 | + | 9.45714i | −0.0211637 | + | 0.950479i | ||||
\(100\) | 0.596678 | − | 9.79025i | 0.0596678 | − | 0.979025i | ||||
\(101\) | −0.495428 | − | 1.65484i | −0.0492969 | − | 0.164663i | 0.929797 | − | 0.368074i | \(-0.119983\pi\) |
−0.979094 | + | 0.203410i | \(0.934797\pi\) | |||||||
\(102\) | 3.37846 | + | 4.65829i | 0.334517 | + | 0.461240i | ||||
\(103\) | −4.01169 | + | 7.98793i | −0.395284 | + | 0.787074i | −0.999956 | − | 0.00940010i | \(-0.997008\pi\) |
0.604672 | + | 0.796474i | \(0.293304\pi\) | |||||||
\(104\) | 5.58824 | + | 4.19549i | 0.547972 | + | 0.411401i | ||||
\(105\) | 0.00311525 | − | 0.00700647i | 0.000304017 | − | 0.000683762i | ||||
\(106\) | −14.6437 | + | 12.2539i | −1.42232 | + | 1.19021i | ||||
\(107\) | −10.5982 | − | 6.11886i | −1.02456 | − | 0.591532i | −0.109141 | − | 0.994026i | \(-0.534810\pi\) |
−0.915423 | + | 0.402494i | \(0.868143\pi\) | |||||||
\(108\) | −3.90440 | + | 9.63097i | −0.375701 | + | 0.926741i | ||||
\(109\) | −12.7152 | + | 7.34114i | −1.21790 | + | 0.703153i | −0.964468 | − | 0.264200i | \(-0.914892\pi\) |
−0.253430 | + | 0.967354i | \(0.581559\pi\) | |||||||
\(110\) | −0.473785 | + | 1.29628i | −0.0451736 | + | 0.123595i | ||||
\(111\) | 1.01216 | − | 14.5802i | 0.0960700 | − | 1.38389i | ||||
\(112\) | 0.0570990 | + | 0.00363433i | 0.00539535 | + | 0.000343412i | ||||
\(113\) | 5.61586 | − | 0.327087i | 0.528296 | − | 0.0307697i | 0.208075 | − | 0.978113i | \(-0.433280\pi\) |
0.320220 | + | 0.947343i | \(0.396243\pi\) | |||||||
\(114\) | 11.0724 | + | 10.7105i | 1.03703 | + | 1.00313i | ||||
\(115\) | −1.88079 | − | 0.445755i | −0.175385 | − | 0.0415669i | ||||
\(116\) | 8.20311 | − | 4.09213i | 0.761639 | − | 0.379945i | ||||
\(117\) | 7.38781 | + | 0.595563i | 0.683003 | + | 0.0550598i | ||||
\(118\) | 10.5870 | + | 3.18508i | 0.974613 | + | 0.293211i | ||||
\(119\) | 0.00195382 | − | 0.0335459i | 0.000179107 | − | 0.00307514i | ||||
\(120\) | −0.992135 | + | 1.14659i | −0.0905691 | + | 0.104669i | ||||
\(121\) | 0.631536 | − | 0.848300i | 0.0574124 | − | 0.0771182i | ||||
\(122\) | −5.34393 | − | 10.6765i | −0.483817 | − | 0.966601i | ||||
\(123\) | −2.18329 | + | 1.79097i | −0.196861 | + | 0.161486i | ||||
\(124\) | 1.45442 | + | 2.22436i | 0.130610 | + | 0.199753i | ||||
\(125\) | −0.532298 | − | 3.01881i | −0.0476102 | − | 0.270011i | ||||
\(126\) | 0.0532565 | − | 0.0290935i | 0.00474447 | − | 0.00259185i | ||||
\(127\) | −13.1360 | − | 2.31622i | −1.16563 | − | 0.205532i | −0.442839 | − | 0.896601i | \(-0.646029\pi\) |
−0.722788 | + | 0.691069i | \(0.757140\pi\) | |||||||
\(128\) | −10.5945 | − | 3.96956i | −0.936427 | − | 0.350862i | ||||
\(129\) | 1.55056 | + | 0.483078i | 0.136519 | + | 0.0425327i | ||||
\(130\) | 0.992369 | + | 0.429652i | 0.0870365 | + | 0.0376830i | ||||
\(131\) | 2.72895 | + | 11.5143i | 0.238429 | + | 1.00601i | 0.952162 | + | 0.305594i | \(0.0988551\pi\) |
−0.713733 | + | 0.700418i | \(0.752997\pi\) | |||||||
\(132\) | −9.20803 | + | 5.87549i | −0.801456 | + | 0.511395i | ||||
\(133\) | −0.0104433 | − | 0.0893481i | −0.000905549 | − | 0.00774746i | ||||
\(134\) | −0.440958 | − | 7.75075i | −0.0380930 | − | 0.669562i | ||||
\(135\) | −0.239931 | + | 1.59023i | −0.0206500 | + | 0.136865i | ||||
\(136\) | −2.29781 | + | 6.23471i | −0.197036 | + | 0.534622i | ||||
\(137\) | −12.7649 | − | 5.50625i | −1.09058 | − | 0.470431i | −0.226617 | − | 0.973984i | \(-0.572767\pi\) |
−0.863964 | + | 0.503553i | \(0.832026\pi\) | |||||||
\(138\) | −9.68601 | − | 11.8403i | −0.824528 | − | 1.00791i | ||||
\(139\) | −6.74482 | − | 7.14910i | −0.572089 | − | 0.606378i | 0.375128 | − | 0.926973i | \(-0.377599\pi\) |
−0.947216 | + | 0.320595i | \(0.896117\pi\) | |||||||
\(140\) | 0.00872363 | − | 0.00151400i | 0.000737281 | − | 0.000127956i | ||||
\(141\) | −2.67786 | + | 5.18727i | −0.225517 | + | 0.436847i | ||||
\(142\) | 1.72941 | − | 9.73131i | 0.145129 | − | 0.816633i | ||||
\(143\) | 5.96762 | + | 5.00743i | 0.499037 | + | 0.418742i | ||||
\(144\) | −11.7486 | + | 2.44353i | −0.979048 | + | 0.203627i | ||||
\(145\) | 1.08673 | − | 0.911877i | 0.0902483 | − | 0.0757273i | ||||
\(146\) | −9.48763 | − | 16.4843i | −0.785202 | − | 1.36425i | ||||
\(147\) | 11.9156 | + | 2.23808i | 0.982785 | + | 0.184594i | ||||
\(148\) | 14.6380 | − | 8.39875i | 1.20323 | − | 0.690373i | ||||
\(149\) | −5.12719 | − | 11.8862i | −0.420035 | − | 0.973751i | −0.988524 | − | 0.151061i | \(-0.951731\pi\) |
0.568489 | − | 0.822691i | \(-0.307528\pi\) | |||||||
\(150\) | 5.52487 | − | 10.6669i | 0.451103 | − | 0.870951i | ||||
\(151\) | −4.70354 | − | 9.36551i | −0.382769 | − | 0.762155i | 0.616922 | − | 0.787024i | \(-0.288379\pi\) |
−0.999691 | + | 0.0248694i | \(0.992083\pi\) | |||||||
\(152\) | −3.15962 | + | 17.5053i | −0.256279 | + | 1.41987i | ||||
\(153\) | 1.47226 | + | 6.89224i | 0.119025 | + | 0.557205i | ||||
\(154\) | 0.0633421 | + | 0.00749010i | 0.00510425 | + | 0.000603570i | ||||
\(155\) | 0.299151 | + | 0.282234i | 0.0240284 | + | 0.0226696i | ||||
\(156\) | 4.17632 | + | 7.47022i | 0.334373 | + | 0.598096i | ||||
\(157\) | 10.8854 | + | 16.5504i | 0.868748 | + | 1.32087i | 0.946104 | + | 0.323863i | \(0.104982\pi\) |
−0.0773564 | + | 0.997004i | \(0.524648\pi\) | |||||||
\(158\) | 10.1149 | + | 9.56867i | 0.804697 | + | 0.761243i | ||||
\(159\) | −22.4766 | + | 6.45733i | −1.78251 | + | 0.512099i | ||||
\(160\) | −1.73757 | − | 0.214961i | −0.137367 | − | 0.0169941i | ||||
\(161\) | 0.0893282i | 0.00704005i | ||||||||
\(162\) | −9.14977 | + | 8.84769i | −0.718874 | + | 0.695140i | ||||
\(163\) | −6.81700 | −0.533948 | −0.266974 | − | 0.963704i | \(-0.586024\pi\) | ||||
−0.266974 | + | 0.963704i | \(0.586024\pi\) | |||||||
\(164\) | −3.12122 | − | 0.943600i | −0.243727 | − | 0.0736828i | ||||
\(165\) | −1.17359 | + | 1.21651i | −0.0913638 | + | 0.0947055i | ||||
\(166\) | −2.49068 | − | 2.35618i | −0.193314 | − | 0.182875i | ||||
\(167\) | 4.05398 | − | 2.66635i | 0.313707 | − | 0.206328i | −0.382885 | − | 0.923796i | \(-0.625069\pi\) |
0.696591 | + | 0.717468i | \(0.254699\pi\) | |||||||
\(168\) | 0.0621354 | + | 0.0323951i | 0.00479385 | + | 0.00249934i | ||||
\(169\) | −4.73244 | + | 5.01610i | −0.364034 | + | 0.385854i | ||||
\(170\) | −0.120750 | + | 1.02116i | −0.00926112 | + | 0.0783192i | ||||
\(171\) | 7.08541 | + | 17.4862i | 0.541835 | + | 1.33720i | ||||
\(172\) | 0.533006 | + | 1.79798i | 0.0406414 | + | 0.137094i | ||||
\(173\) | 18.7818 | − | 9.43258i | 1.42795 | − | 0.717146i | 0.444077 | − | 0.895989i | \(-0.353532\pi\) |
0.983878 | + | 0.178843i | \(0.0572353\pi\) | |||||||
\(174\) | 11.2157 | − | 0.512911i | 0.850259 | − | 0.0388837i | ||||
\(175\) | −0.0644110 | + | 0.0277842i | −0.00486901 | + | 0.00210029i | ||||
\(176\) | −11.5541 | − | 5.05792i | −0.870920 | − | 0.381255i | ||||
\(177\) | 10.2751 | + | 8.81857i | 0.772322 | + | 0.662844i | ||||
\(178\) | 0.835967 | − | 0.481146i | 0.0626584 | − | 0.0360634i | ||||
\(179\) | 10.2764 | + | 12.2469i | 0.768095 | + | 0.915380i | 0.998331 | − | 0.0577550i | \(-0.0183942\pi\) |
−0.230236 | + | 0.973135i | \(0.573950\pi\) | |||||||
\(180\) | −1.67977 | + | 0.791759i | −0.125203 | + | 0.0590142i | ||||
\(181\) | −10.9897 | + | 13.0970i | −0.816860 | + | 0.973496i | −0.999954 | − | 0.00959981i | \(-0.996944\pi\) |
0.183094 | + | 0.983095i | \(0.441389\pi\) | |||||||
\(182\) | 0.00874452 | − | 0.0492051i | 0.000648187 | − | 0.00364732i | ||||
\(183\) | −0.687679 | − | 14.6063i | −0.0508347 | − | 1.07973i | ||||
\(184\) | 5.13439 | − | 16.9013i | 0.378512 | − | 1.24598i | ||||
\(185\) | 1.89963 | − | 1.79221i | 0.139664 | − | 0.131766i | ||||
\(186\) | 0.525174 | + | 3.21229i | 0.0385076 | + | 0.235537i | ||||
\(187\) | −2.93398 | + | 6.80173i | −0.214554 | + | 0.497392i | ||||
\(188\) | −6.69730 | + | 0.764524i | −0.488451 | + | 0.0557587i | ||||
\(189\) | 0.0740682 | − | 0.00615893i | 0.00538767 | − | 0.000447996i | ||||
\(190\) | 0.156357 | + | 2.74830i | 0.0113433 | + | 0.199383i | ||||
\(191\) | 12.1728 | − | 1.42280i | 0.880792 | − | 0.102950i | 0.336339 | − | 0.941741i | \(-0.390811\pi\) |
0.544453 | + | 0.838791i | \(0.316737\pi\) | |||||||
\(192\) | −9.89426 | − | 9.70070i | −0.714057 | − | 0.700088i | ||||
\(193\) | 1.05858 | − | 0.250888i | 0.0761982 | − | 0.0180593i | −0.192340 | − | 0.981328i | \(-0.561608\pi\) |
0.268538 | + | 0.963269i | \(0.413459\pi\) | |||||||
\(194\) | −3.68166 | + | 8.50354i | −0.264328 | + | 0.610519i | ||||
\(195\) | 0.898094 | + | 0.973407i | 0.0643139 | + | 0.0697071i | ||||
\(196\) | 5.51031 | + | 12.8695i | 0.393594 | + | 0.919253i | ||||
\(197\) | 2.27357 | − | 12.8941i | 0.161985 | − | 0.918664i | −0.790133 | − | 0.612935i | \(-0.789989\pi\) |
0.952119 | − | 0.305729i | \(-0.0989002\pi\) | |||||||
\(198\) | −13.2257 | + | 2.01136i | −0.939907 | + | 0.142941i | ||||
\(199\) | 13.7061 | − | 2.41675i | 0.971598 | − | 0.171319i | 0.334749 | − | 0.942307i | \(-0.391348\pi\) |
0.636849 | + | 0.770988i | \(0.280237\pi\) | |||||||
\(200\) | 13.7838 | − | 1.55468i | 0.974662 | − | 0.109932i | ||||
\(201\) | 3.35119 | − | 8.89788i | 0.236375 | − | 0.627608i | ||||
\(202\) | 2.18456 | − | 1.09345i | 0.153705 | − | 0.0769346i | ||||
\(203\) | −0.0525886 | − | 0.0391507i | −0.00369099 | − | 0.00274784i | ||||
\(204\) | −5.66594 | + | 5.84161i | −0.396695 | + | 0.408995i | ||||
\(205\) | −0.503751 | − | 0.0293401i | −0.0351835 | − | 0.00204920i | ||||
\(206\) | −12.1053 | − | 3.64186i | −0.843416 | − | 0.253740i | ||||
\(207\) | −4.97251 | − | 18.0635i | −0.345613 | − | 1.25550i | ||||
\(208\) | −4.48270 | + | 8.80719i | −0.310819 | + | 0.610669i | ||||
\(209\) | −4.57321 | + | 19.2959i | −0.316336 | + | 1.33472i | ||||
\(210\) | 0.0105196 | + | 0.00263225i | 0.000725922 | + | 0.000181642i | ||||
\(211\) | −0.469330 | − | 8.05808i | −0.0323100 | − | 0.554741i | −0.975157 | − | 0.221515i | \(-0.928900\pi\) |
0.942847 | − | 0.333226i | \(-0.108137\pi\) | |||||||
\(212\) | −20.6391 | − | 17.4132i | −1.41750 | − | 1.19594i | ||||
\(213\) | 6.76404 | − | 10.0390i | 0.463464 | − | 0.687862i | ||||
\(214\) | 5.94115 | − | 16.2550i | 0.406129 | − | 1.11117i | ||||
\(215\) | 0.145104 | + | 0.251328i | 0.00989601 | + | 0.0171404i | ||||
\(216\) | −14.3680 | − | 3.09199i | −0.977619 | − | 0.210383i | ||||
\(217\) | 0.00950350 | − | 0.0164605i | 0.000645140 | − | 0.00111741i | ||||
\(218\) | −13.3253 | − | 15.9240i | −0.902505 | − | 1.07851i | ||||
\(219\) | −2.44659 | − | 23.1654i | −0.165325 | − | 1.56537i | ||||
\(220\) | −1.92125 | − | 0.344107i | −0.129531 | − | 0.0231997i | ||||
\(221\) | 5.18666 | + | 2.60484i | 0.348893 | + | 0.175221i | ||||
\(222\) | 20.5577 | − | 2.14320i | 1.37974 | − | 0.143842i | ||||
\(223\) | 18.2979 | − | 5.47803i | 1.22532 | − | 0.366836i | 0.392174 | − | 0.919891i | \(-0.371723\pi\) |
0.833145 | + | 0.553055i | \(0.186538\pi\) | |||||||
\(224\) | 0.00885218 | + | 0.0804279i | 0.000591461 | + | 0.00537381i | ||||
\(225\) | 11.4783 | − | 9.20386i | 0.765217 | − | 0.613590i | ||||
\(226\) | 1.82424 | + | 7.74351i | 0.121346 | + | 0.515091i | ||||
\(227\) | −7.14086 | + | 10.8572i | −0.473956 | + | 0.720615i | −0.990781 | − | 0.135477i | \(-0.956743\pi\) |
0.516825 | + | 0.856091i | \(0.327114\pi\) | |||||||
\(228\) | −12.2220 | + | 18.0347i | −0.809425 | + | 1.19437i | ||||
\(229\) | −1.74140 | + | 14.8987i | −0.115075 | + | 0.984531i | 0.805131 | + | 0.593097i | \(0.202095\pi\) |
−0.920206 | + | 0.391434i | \(0.871979\pi\) | |||||||
\(230\) | 0.162615 | − | 2.72868i | 0.0107225 | − | 0.179924i | ||||
\(231\) | 0.0672135 | + | 0.0398098i | 0.00442233 | + | 0.00261929i | ||||
\(232\) | 7.69967 | + | 10.4302i | 0.505508 | + | 0.684773i | ||||
\(233\) | −4.13369 | + | 11.3572i | −0.270807 | + | 0.744036i | 0.727513 | + | 0.686094i | \(0.240676\pi\) |
−0.998320 | + | 0.0579424i | \(0.981546\pi\) | |||||||
\(234\) | 0.970755 | + | 10.4368i | 0.0634603 | + | 0.682274i | ||||
\(235\) | −0.980239 | + | 0.356778i | −0.0639437 | + | 0.0232736i | ||||
\(236\) | −1.85695 | + | 15.5245i | −0.120877 | + | 1.01056i | ||||
\(237\) | 6.57964 | + | 15.7326i | 0.427394 | + | 1.02194i | ||||
\(238\) | 0.0472075 | − | 0.00545334i | 0.00306001 | − | 0.000353487i | ||||
\(239\) | −6.28636 | + | 20.9979i | −0.406631 | + | 1.35824i | 0.472362 | + | 0.881405i | \(0.343402\pi\) |
−0.878992 | + | 0.476836i | \(0.841784\pi\) | |||||||
\(240\) | −1.83906 | − | 1.10268i | −0.118711 | − | 0.0711774i | ||||
\(241\) | 11.1118 | + | 14.9258i | 0.715775 | + | 0.961453i | 0.999996 | + | 0.00269444i | \(0.000857667\pi\) |
−0.284221 | + | 0.958759i | \(0.591735\pi\) | |||||||
\(242\) | 1.33564 | + | 0.673035i | 0.0858579 | + | 0.0432644i | ||||
\(243\) | −14.6349 | + | 5.36848i | −0.938827 | + | 0.344388i | ||||
\(244\) | 13.5706 | − | 10.0463i | 0.868769 | − | 0.643146i | ||||
\(245\) | 1.29372 | + | 1.73777i | 0.0826527 | + | 0.111022i | ||||
\(246\) | −3.02699 | − | 2.60499i | −0.192994 | − | 0.166088i | ||||
\(247\) | 14.8849 | + | 4.45626i | 0.947107 | + | 0.283545i | ||||
\(248\) | −2.74422 | + | 2.56816i | −0.174258 | + | 0.163078i | ||||
\(249\) | −1.62016 | − | 3.87397i | −0.102674 | − | 0.245503i | ||||
\(250\) | 4.07566 | − | 1.47721i | 0.257767 | − | 0.0934267i | ||||
\(251\) | 2.06459 | + | 5.67242i | 0.130316 | + | 0.358040i | 0.987641 | − | 0.156736i | \(-0.0500972\pi\) |
−0.857325 | + | 0.514776i | \(0.827875\pi\) | |||||||
\(252\) | 0.0535075 | + | 0.0670994i | 0.00337065 | + | 0.00422686i | ||||
\(253\) | 6.73504 | − | 18.5044i | 0.423429 | − | 1.16336i | ||||
\(254\) | 0.0254014 | − | 18.8636i | 0.00159383 | − | 1.18361i | ||||
\(255\) | −0.641787 | + | 1.08357i | −0.0401902 | + | 0.0678558i | ||||
\(256\) | 2.94795 | − | 15.7261i | 0.184247 | − | 0.982880i | ||||
\(257\) | 0.166722 | − | 1.42639i | 0.0103998 | − | 0.0889760i | −0.987042 | − | 0.160464i | \(-0.948701\pi\) |
0.997441 | + | 0.0714884i | \(0.0227749\pi\) | |||||||
\(258\) | −0.295084 | + | 2.27775i | −0.0183711 | + | 0.141806i | ||||
\(259\) | −0.100840 | − | 0.0663236i | −0.00626590 | − | 0.00412115i | ||||
\(260\) | −0.356690 | + | 1.48713i | −0.0221210 | + | 0.0922281i | ||||
\(261\) | 12.8135 | + | 4.98950i | 0.793139 | + | 0.308842i | ||||
\(262\) | −15.3751 | + | 6.60763i | −0.949877 | + | 0.408221i | ||||
\(263\) | 3.45608 | + | 11.5441i | 0.213111 | + | 0.711841i | 0.995974 | + | 0.0896460i | \(0.0285736\pi\) |
−0.782863 | + | 0.622195i | \(0.786241\pi\) | |||||||
\(264\) | −10.4289 | − | 11.3955i | −0.641854 | − | 0.701342i | ||||
\(265\) | −3.73435 | − | 1.87546i | −0.229399 | − | 0.115209i | ||||
\(266\) | 0.121922 | − | 0.0363223i | 0.00747552 | − | 0.00222706i | ||||
\(267\) | 1.17479 | − | 0.124074i | 0.0718957 | − | 0.00759319i | ||||
\(268\) | 10.6898 | − | 2.50314i | 0.652982 | − | 0.152903i | ||||
\(269\) | −0.622245 | + | 1.07776i | −0.0379390 | + | 0.0657122i | −0.884371 | − | 0.466784i | \(-0.845413\pi\) |
0.846432 | + | 0.532496i | \(0.178746\pi\) | |||||||
\(270\) | −2.27375 | + | 0.0532998i | −0.138376 | + | 0.00324372i | ||||
\(271\) | −0.124205 | + | 0.0717099i | −0.00754492 | + | 0.00435606i | −0.503768 | − | 0.863839i | \(-0.668053\pi\) |
0.496223 | + | 0.868195i | \(0.334720\pi\) | |||||||
\(272\) | −9.24529 | − | 1.68159i | −0.560578 | − | 0.101961i | ||||
\(273\) | 0.0342015 | − | 0.0507609i | 0.00206997 | − | 0.00307219i | ||||
\(274\) | 4.55972 | − | 19.1242i | 0.275463 | − | 1.15533i | ||||
\(275\) | 15.4376 | − | 0.899138i | 0.930922 | − | 0.0542201i | ||||
\(276\) | 14.1337 | − | 16.3786i | 0.850750 | − | 0.985878i | ||||
\(277\) | −2.27440 | + | 9.59646i | −0.136656 | + | 0.576596i | 0.861027 | + | 0.508559i | \(0.169822\pi\) |
−0.997683 | + | 0.0680366i | \(0.978327\pi\) | |||||||
\(278\) | 8.31539 | − | 11.1382i | 0.498724 | − | 0.668023i | ||||
\(279\) | −1.00547 | + | 3.85759i | −0.0601957 | + | 0.230948i | ||||
\(280\) | 0.00423504 | + | 0.0117836i | 0.000253092 | + | 0.000704202i | ||||
\(281\) | −20.9003 | − | 1.21731i | −1.24681 | − | 0.0726184i | −0.577991 | − | 0.816043i | \(-0.696163\pi\) |
−0.668819 | + | 0.743425i | \(0.733200\pi\) | |||||||
\(282\) | −7.87877 | − | 2.46628i | −0.469174 | − | 0.146865i | ||||
\(283\) | 3.05798 | − | 4.10758i | 0.181778 | − | 0.244170i | −0.701889 | − | 0.712287i | \(-0.747660\pi\) |
0.883667 | + | 0.468116i | \(0.155067\pi\) | |||||||
\(284\) | 13.9777 | + | 0.0376444i | 0.829426 | + | 0.00223378i | ||||
\(285\) | −1.18828 | + | 3.15506i | −0.0703878 | + | 0.186889i | ||||
\(286\) | −5.52133 | + | 9.53355i | −0.326483 | + | 0.563731i | ||||
\(287\) | 0.00404951 | + | 0.0229659i | 0.000239035 | + | 0.00135564i | ||||
\(288\) | −6.26711 | − | 15.7710i | −0.369293 | − | 0.929313i | ||||
\(289\) | 1.99366 | − | 11.3066i | 0.117274 | − | 0.665096i | ||||
\(290\) | 1.53513 | + | 1.29166i | 0.0901462 | + | 0.0758487i | ||||
\(291\) | −8.34106 | + | 7.69571i | −0.488962 | + | 0.451131i | ||||
\(292\) | 20.6514 | − | 17.2340i | 1.20853 | − | 1.00855i | ||||
\(293\) | 30.2608 | − | 7.17194i | 1.76785 | − | 0.418989i | 0.787512 | − | 0.616299i | \(-0.211369\pi\) |
0.980341 | + | 0.197310i | \(0.0632205\pi\) | |||||||
\(294\) | −0.213940 | + | 17.1446i | −0.0124772 | + | 0.999893i | ||||
\(295\) | 0.280895 | + | 2.40321i | 0.0163543 | + | 0.139920i | ||||
\(296\) | 15.2672 | + | 18.3448i | 0.887389 | + | 1.06627i | ||||
\(297\) | −15.8076 | − | 4.30867i | −0.917252 | − | 0.250014i | ||||
\(298\) | 15.3086 | − | 10.0391i | 0.886804 | − | 0.581551i | ||||
\(299\) | −14.1673 | − | 6.11119i | −0.819318 | − | 0.353419i | ||||
\(300\) | 16.2061 | + | 5.09693i | 0.935657 | + | 0.294271i | ||||
\(301\) | 0.00975547 | − | 0.00920381i | 0.000562296 | − | 0.000530499i | ||||
\(302\) | 11.9005 | − | 8.83468i | 0.684794 | − | 0.508379i | ||||
\(303\) | 2.98866 | − | 0.140709i | 0.171694 | − | 0.00808353i | ||||
\(304\) | −25.1559 | − | 0.135499i | −1.44279 | − | 0.00777140i | ||||
\(305\) | 1.67955 | − | 2.00161i | 0.0961706 | − | 0.114612i | ||||
\(306\) | −9.24250 | + | 3.73058i | −0.528359 | + | 0.213263i | ||||
\(307\) | 3.12756 | − | 2.62434i | 0.178499 | − | 0.149779i | −0.549160 | − | 0.835717i | \(-0.685052\pi\) |
0.727660 | + | 0.685938i | \(0.240608\pi\) | |||||||
\(308\) | 0.00500232 | + | 0.0900645i | 0.000285033 | + | 0.00513190i | ||||
\(309\) | −11.7486 | − | 10.0832i | −0.668356 | − | 0.573616i | ||||
\(310\) | −0.320265 | + | 0.485515i | −0.0181899 | + | 0.0275754i | ||||
\(311\) | −1.63008 | − | 3.77896i | −0.0924335 | − | 0.214285i | 0.865727 | − | 0.500517i | \(-0.166857\pi\) |
−0.958160 | + | 0.286232i | \(0.907597\pi\) | |||||||
\(312\) | −9.38868 | + | 7.63835i | −0.531529 | + | 0.432436i | ||||
\(313\) | 29.9315 | − | 15.0322i | 1.69183 | − | 0.849669i | 0.701222 | − | 0.712943i | \(-0.252638\pi\) |
0.990609 | − | 0.136726i | \(-0.0436581\pi\) | |||||||
\(314\) | −20.4029 | + | 19.1973i | −1.15140 | + | 1.08337i | ||||
\(315\) | 0.0104739 | + | 0.00816607i | 0.000590135 | + | 0.000460106i | ||||
\(316\) | −10.8647 | + | 16.4225i | −0.611188 | + | 0.923838i | ||||
\(317\) | −6.33606 | + | 6.71583i | −0.355869 | + | 0.377199i | −0.880432 | − | 0.474173i | \(-0.842747\pi\) |
0.524563 | + | 0.851372i | \(0.324229\pi\) | |||||||
\(318\) | −14.4730 | − | 29.7376i | −0.811604 | − | 1.66760i | ||||
\(319\) | 7.94191 | + | 12.0751i | 0.444662 | + | 0.676075i | ||||
\(320\) | −0.123992 | − | 2.47292i | −0.00693138 | − | 0.138240i | ||||
\(321\) | 14.7165 | − | 15.2548i | 0.821396 | − | 0.851440i | ||||
\(322\) | −0.124439 | + | 0.0217693i | −0.00693474 | + | 0.00121315i | ||||
\(323\) | 14.7745i | 0.822077i | ||||||||
\(324\) | −14.5551 | − | 10.5900i | −0.808619 | − | 0.588332i | ||||
\(325\) | − | 12.1163i | − | 0.672091i | ||||||
\(326\) | −1.66130 | − | 9.49647i | −0.0920110 | − | 0.525961i | ||||
\(327\) | −7.02190 | − | 24.4418i | −0.388312 | − | 1.35163i | ||||
\(328\) | 0.553847 | − | 4.57800i | 0.0305811 | − | 0.252778i | ||||
\(329\) | 0.0264912 | + | 0.0402780i | 0.00146051 | + | 0.00222060i | ||||
\(330\) | −1.98068 | − | 1.33841i | −0.109033 | − | 0.0736773i | ||||
\(331\) | 2.20101 | − | 2.33294i | 0.120979 | − | 0.128230i | −0.664053 | − | 0.747685i | \(-0.731165\pi\) |
0.785032 | + | 0.619456i | \(0.212647\pi\) | |||||||
\(332\) | 2.67532 | − | 4.04386i | 0.146827 | − | 0.221936i | ||||
\(333\) | 24.0833 | + | 7.79831i | 1.31976 | + | 0.427345i | ||||
\(334\) | 4.70233 | + | 4.99764i | 0.257300 | + | 0.273459i | ||||
\(335\) | 1.51829 | − | 0.762513i | 0.0829529 | − | 0.0416605i | ||||
\(336\) | −0.0299859 | + | 0.0944529i | −0.00163587 | + | 0.00515283i | ||||
\(337\) | −6.13473 | − | 14.2219i | −0.334180 | − | 0.774717i | −0.999601 | − | 0.0282482i | \(-0.991007\pi\) |
0.665421 | − | 0.746468i | \(-0.268252\pi\) | |||||||
\(338\) | −8.14101 | − | 5.37015i | −0.442813 | − | 0.292097i | ||||
\(339\) | −1.79863 | + | 9.57599i | −0.0976884 | + | 0.520096i | ||||
\(340\) | −1.45196 | + | 0.0806439i | −0.0787435 | + | 0.00437353i | ||||
\(341\) | −3.20972 | + | 2.69328i | −0.173816 | + | 0.145849i | ||||
\(342\) | −22.6326 | + | 14.1318i | −1.22383 | + | 0.764159i | ||||
\(343\) | 0.128717 | − | 0.153399i | 0.00695006 | − | 0.00828276i | ||||
\(344\) | −2.37479 | + | 1.18068i | −0.128040 | + | 0.0636577i | ||||
\(345\) | 1.53573 | − | 2.97485i | 0.0826808 | − | 0.160161i | ||||
\(346\) | 17.7173 | + | 23.8654i | 0.952486 | + | 1.28301i | ||||
\(347\) | 25.0644 | − | 23.6470i | 1.34553 | − | 1.26944i | 0.411884 | − | 0.911236i | \(-0.364871\pi\) |
0.933644 | − | 0.358203i | \(-0.116611\pi\) | |||||||
\(348\) | 3.44778 | + | 15.4991i | 0.184820 | + | 0.830839i | ||||
\(349\) | −16.9137 | − | 7.29588i | −0.905372 | − | 0.390539i | −0.108086 | − | 0.994142i | \(-0.534472\pi\) |
−0.797286 | + | 0.603602i | \(0.793732\pi\) | |||||||
\(350\) | −0.0544019 | − | 0.0829572i | −0.00290791 | − | 0.00443425i | ||||
\(351\) | −4.09042 | + | 12.1685i | −0.218330 | + | 0.649505i | ||||
\(352\) | 4.23025 | − | 17.3281i | 0.225473 | − | 0.923590i | ||||
\(353\) | 1.72615 | + | 14.7682i | 0.0918738 | + | 0.786031i | 0.958111 | + | 0.286398i | \(0.0924578\pi\) |
−0.866237 | + | 0.499633i | \(0.833468\pi\) | |||||||
\(354\) | −9.78074 | + | 16.4629i | −0.519840 | + | 0.874991i | ||||
\(355\) | 2.10478 | − | 0.498841i | 0.111710 | − | 0.0264758i | ||||
\(356\) | 0.873990 | + | 1.04730i | 0.0463214 | + | 0.0555066i | ||||
\(357\) | 0.0555673 | + | 0.0173120i | 0.00294093 | + | 0.000916248i | ||||
\(358\) | −14.5563 | + | 17.3002i | −0.769327 | + | 0.914345i | ||||
\(359\) | 2.38319 | − | 13.5158i | 0.125780 | − | 0.713335i | −0.855061 | − | 0.518527i | \(-0.826481\pi\) |
0.980841 | − | 0.194808i | \(-0.0624083\pi\) | |||||||
\(360\) | −1.51233 | − | 2.14707i | −0.0797066 | − | 0.113160i | ||||
\(361\) | 3.56886 | + | 20.2400i | 0.187835 | + | 1.06526i | ||||
\(362\) | −20.9231 | − | 12.1176i | −1.09970 | − | 0.636886i | ||||
\(363\) | 1.16174 | + | 1.41623i | 0.0609756 | + | 0.0743328i | ||||
\(364\) | 0.0706766 | 0.000190344i | 0.00370446 | 9.97674e-6i | ||||||
\(365\) | 2.48566 | − | 3.33882i | 0.130105 | − | 0.174762i | ||||
\(366\) | 20.1798 | − | 4.51753i | 1.05482 | − | 0.236135i | ||||
\(367\) | 16.5212 | + | 0.962253i | 0.862402 | + | 0.0502292i | 0.483642 | − | 0.875266i | \(-0.339314\pi\) |
0.378760 | + | 0.925495i | \(0.376351\pi\) | |||||||
\(368\) | 24.7957 | + | 3.03367i | 1.29256 | + | 0.158141i | ||||
\(369\) | −2.09728 | − | 4.41864i | −0.109180 | − | 0.230025i | ||||
\(370\) | 2.95959 | + | 2.20954i | 0.153862 | + | 0.114868i | ||||
\(371\) | −0.0445376 | + | 0.187919i | −0.00231228 | + | 0.00975626i | ||||
\(372\) | −4.34693 | + | 1.51443i | −0.225378 | + | 0.0785197i | ||||
\(373\) | −9.91653 | + | 0.577572i | −0.513459 | + | 0.0299056i | −0.312919 | − | 0.949780i | \(-0.601307\pi\) |
−0.200540 | + | 0.979686i | \(0.564270\pi\) | |||||||
\(374\) | −10.1902 | − | 2.42962i | −0.526923 | − | 0.125633i | ||||
\(375\) | 5.29665 | + | 0.367694i | 0.273518 | + | 0.0189877i | ||||
\(376\) | −2.69716 | − | 9.14341i | −0.139095 | − | 0.471535i | ||||
\(377\) | 9.80699 | − | 5.66207i | 0.505085 | − | 0.291611i | ||||
\(378\) | 0.0266302 | + | 0.101680i | 0.00136971 | + | 0.00522987i | ||||
\(379\) | 14.9093 | − | 25.8237i | 0.765839 | − | 1.32647i | −0.173962 | − | 0.984752i | \(-0.555657\pi\) |
0.939802 | − | 0.341720i | \(-0.111010\pi\) | |||||||
\(380\) | −3.79043 | + | 0.887575i | −0.194445 | + | 0.0455316i | ||||
\(381\) | 9.38625 | − | 21.1105i | 0.480872 | − | 1.08152i | ||||
\(382\) | 4.94855 | + | 16.6107i | 0.253190 | + | 0.849876i | ||||
\(383\) | −12.8438 | − | 6.45039i | −0.656287 | − | 0.329600i | 0.0893033 | − | 0.996004i | \(-0.471536\pi\) |
−0.745590 | + | 0.666405i | \(0.767832\pi\) | |||||||
\(384\) | 11.1024 | − | 16.1473i | 0.566567 | − | 0.824016i | ||||
\(385\) | 0.00400352 | + | 0.0133727i | 0.000204038 | + | 0.000681535i | ||||
\(386\) | 0.607477 | + | 1.41352i | 0.0309198 | + | 0.0719463i | ||||
\(387\) | −1.46037 | + | 2.40419i | −0.0742347 | + | 0.122212i | ||||
\(388\) | −12.7431 | − | 3.05645i | −0.646935 | − | 0.155168i | ||||
\(389\) | 0.682956 | + | 0.449187i | 0.0346272 | + | 0.0227747i | 0.566705 | − | 0.823921i | \(-0.308218\pi\) |
−0.532077 | + | 0.846696i | \(0.678588\pi\) | |||||||
\(390\) | −1.13715 | + | 1.48832i | −0.0575817 | + | 0.0753638i | ||||
\(391\) | 1.70324 | − | 14.5722i | 0.0861366 | − | 0.736946i | ||||
\(392\) | −16.5851 | + | 10.8125i | −0.837676 | + | 0.546113i | ||||
\(393\) | −20.4946 | − | 0.228142i | −1.03382 | − | 0.0115082i | ||||
\(394\) | 18.5162 | + | 0.0249337i | 0.932835 | + | 0.00125614i | ||||
\(395\) | −1.04221 | + | 2.86346i | −0.0524395 | + | 0.144076i | ||||
\(396\) | −6.02504 | − | 17.9339i | −0.302769 | − | 0.901215i | ||||
\(397\) | −10.9448 | − | 30.0707i | −0.549305 | − | 1.50920i | −0.834651 | − | 0.550779i | \(-0.814331\pi\) |
0.285346 | − | 0.958425i | \(-0.407892\pi\) | |||||||
\(398\) | 6.70685 | + | 18.5044i | 0.336184 | + | 0.927542i | ||||
\(399\) | 0.154545 | + | 0.0198098i | 0.00773690 | + | 0.000991730i | ||||
\(400\) | 5.52487 | + | 18.8228i | 0.276243 | + | 0.941138i | ||||
\(401\) | 1.20730 | + | 0.361441i | 0.0602896 | + | 0.0180495i | 0.316806 | − | 0.948490i | \(-0.397390\pi\) |
−0.256516 | + | 0.966540i | \(0.582575\pi\) | |||||||
\(402\) | 13.2119 | + | 2.49999i | 0.658952 | + | 0.124688i | ||||
\(403\) | 1.96046 | + | 2.63336i | 0.0976575 | + | 0.131177i | ||||
\(404\) | 2.05561 | + | 2.77674i | 0.102270 | + | 0.138148i | ||||
\(405\) | −2.57254 | − | 1.06827i | −0.127831 | − | 0.0530828i | ||||
\(406\) | 0.0417234 | − | 0.0827999i | 0.00207070 | − | 0.00410929i | ||||
\(407\) | 15.8885 | + | 21.3420i | 0.787564 | + | 1.05788i | ||||
\(408\) | −9.51849 | − | 6.46939i | −0.471236 | − | 0.320282i | ||||
\(409\) | −8.15135 | + | 27.2274i | −0.403058 | + | 1.34631i | 0.480092 | + | 0.877218i | \(0.340603\pi\) |
−0.883150 | + | 0.469090i | \(0.844582\pi\) | |||||||
\(410\) | −0.0818915 | − | 0.708904i | −0.00404433 | − | 0.0350103i | ||||
\(411\) | 14.5929 | − | 19.1529i | 0.719816 | − | 0.944742i | ||||
\(412\) | 2.12326 | − | 17.7509i | 0.104605 | − | 0.874524i | ||||
\(413\) | 0.105076 | − | 0.0382447i | 0.00517047 | − | 0.00188190i | ||||
\(414\) | 23.9517 | − | 11.3291i | 1.17716 | − | 0.556793i | ||||
\(415\) | 0.256634 | − | 0.705096i | 0.0125977 | − | 0.0346118i | ||||
\(416\) | −13.3614 | − | 4.09835i | −0.655094 | − | 0.200938i | ||||
\(417\) | 14.8368 | − | 8.34722i | 0.726561 | − | 0.408765i | ||||
\(418\) | −27.9948 | − | 1.66834i | −1.36927 | − | 0.0816011i | ||||
\(419\) | −1.90994 | + | 16.3406i | −0.0933067 | + | 0.798290i | 0.862855 | + | 0.505451i | \(0.168674\pi\) |
−0.956162 | + | 0.292839i | \(0.905400\pi\) | |||||||
\(420\) | −0.00110324 | + | 0.0152959i | −5.38328e−5 | + | 0.000746364i | ||||
\(421\) | −7.79770 | + | 11.8558i | −0.380037 | + | 0.577818i | −0.973964 | − | 0.226701i | \(-0.927206\pi\) |
0.593928 | + | 0.804518i | \(0.297576\pi\) | |||||||
\(422\) | 11.1110 | − | 2.61756i | 0.540875 | − | 0.127421i | ||||
\(423\) | −7.59902 | − | 6.67016i | −0.369477 | − | 0.324314i | ||||
\(424\) | 19.2279 | − | 32.9951i | 0.933787 | − | 1.60238i | ||||
\(425\) | 11.0372 | − | 3.30431i | 0.535381 | − | 0.160283i | ||||
\(426\) | 15.6333 | + | 6.97619i | 0.757437 | + | 0.337997i | ||||
\(427\) | −0.107911 | − | 0.0541949i | −0.00522217 | − | 0.00262267i | ||||
\(428\) | 24.0921 | + | 4.31501i | 1.16453 | + | 0.208574i | ||||
\(429\) | −10.9120 | + | 7.93648i | −0.526839 | + | 0.383177i | ||||
\(430\) | −0.314752 | + | 0.263387i | −0.0151787 | + | 0.0127016i | ||||
\(431\) | −10.9232 | + | 18.9196i | −0.526152 | + | 0.911323i | 0.473383 | + | 0.880857i | \(0.343033\pi\) |
−0.999536 | + | 0.0304663i | \(0.990301\pi\) | |||||||
\(432\) | 0.805832 | − | 20.7690i | 0.0387706 | − | 0.999248i | ||||
\(433\) | −10.5159 | − | 18.2141i | −0.505364 | − | 0.875316i | −0.999981 | − | 0.00620467i | \(-0.998025\pi\) |
0.494617 | − | 0.869111i | \(-0.335308\pi\) | |||||||
\(434\) | 0.0252465 | + | 0.00922749i | 0.00121187 | + | 0.000442934i | ||||
\(435\) | 1.07825 | + | 2.20792i | 0.0516982 | + | 0.105862i | ||||
\(436\) | 18.9357 | − | 22.4436i | 0.906855 | − | 1.07486i | ||||
\(437\) | −2.28370 | − | 39.2096i | −0.109244 | − | 1.87565i | ||||
\(438\) | 31.6745 | − | 9.05363i | 1.51346 | − | 0.432599i | ||||
\(439\) | 1.21187 | − | 5.11330i | 0.0578396 | − | 0.244044i | −0.936444 | − | 0.350818i | \(-0.885904\pi\) |
0.994283 | + | 0.106773i | \(0.0340519\pi\) | |||||||
\(440\) | 0.0111509 | − | 2.76028i | 0.000531597 | − | 0.131591i | ||||
\(441\) | −8.74460 | + | 19.0920i | −0.416410 | + | 0.909145i | ||||
\(442\) | −2.36470 | + | 7.86012i | −0.112477 | + | 0.373868i | ||||
\(443\) | 3.04793 | + | 0.177522i | 0.144812 | + | 0.00843431i | 0.130397 | − | 0.991462i | \(-0.458375\pi\) |
0.0144141 | + | 0.999896i | \(0.495412\pi\) | |||||||
\(444\) | 7.99552 | + | 28.1158i | 0.379451 | + | 1.33432i | ||||
\(445\) | 0.169322 | + | 0.126055i | 0.00802662 | + | 0.00597559i | ||||
\(446\) | 12.0904 | + | 24.1551i | 0.572498 | + | 1.14377i | ||||
\(447\) | 22.1224 | − | 3.64736i | 1.04636 | − | 0.172514i | ||||
\(448\) | −0.109883 | + | 0.0319319i | −0.00519150 | + | 0.00150864i | ||||
\(449\) | −10.0311 | + | 1.76876i | −0.473397 | + | 0.0834727i | −0.405257 | − | 0.914203i | \(-0.632818\pi\) |
−0.0681408 | + | 0.997676i | \(0.521707\pi\) | |||||||
\(450\) | 15.6188 | + | 13.7469i | 0.736275 | + | 0.648035i | ||||
\(451\) | 0.892694 | − | 5.06272i | 0.0420353 | − | 0.238394i | ||||
\(452\) | −10.3426 | + | 4.42836i | −0.486475 | + | 0.208292i | ||||
\(453\) | 17.7086 | − | 3.98936i | 0.832021 | − | 0.187436i | ||||
\(454\) | −16.8649 | − | 7.30175i | −0.791508 | − | 0.342688i | ||||
\(455\) | 0.0106425 | − | 0.00252233i | 0.000498930 | − | 0.000118248i | ||||
\(456\) | −28.1018 | − | 12.6310i | −1.31599 | − | 0.591500i | ||||
\(457\) | −23.6592 | + | 2.76536i | −1.10673 | + | 0.129358i | −0.649771 | − | 0.760130i | \(-0.725135\pi\) |
−0.456958 | + | 0.889488i | \(0.651061\pi\) | |||||||
\(458\) | −21.1791 | + | 1.20493i | −0.989633 | + | 0.0563025i | ||||
\(459\) | −12.2002 | − | 0.407566i | −0.569458 | − | 0.0190235i | ||||
\(460\) | 3.84084 | − | 0.438448i | 0.179080 | − | 0.0204427i | ||||
\(461\) | −6.17622 | + | 14.3181i | −0.287655 | + | 0.666860i | −0.999366 | − | 0.0356132i | \(-0.988662\pi\) |
0.711710 | + | 0.702473i | \(0.247921\pi\) | |||||||
\(462\) | −0.0390774 | + | 0.103334i | −0.00181805 | + | 0.00480753i | ||||
\(463\) | −16.3317 | + | 15.4082i | −0.758998 | + | 0.716078i | −0.964935 | − | 0.262487i | \(-0.915457\pi\) |
0.205937 | + | 0.978565i | \(0.433976\pi\) | |||||||
\(464\) | −12.6534 | + | 13.2679i | −0.587419 | + | 0.615947i | ||||
\(465\) | −0.599479 | + | 0.384793i | −0.0278002 | + | 0.0178444i | ||||
\(466\) | −16.8287 | − | 2.99072i | −0.779572 | − | 0.138542i | ||||
\(467\) | 13.2796 | − | 15.8260i | 0.614506 | − | 0.732340i | −0.365609 | − | 0.930768i | \(-0.619139\pi\) |
0.980115 | + | 0.198428i | \(0.0635837\pi\) | |||||||
\(468\) | −14.3025 | + | 3.89576i | −0.661132 | + | 0.180082i | ||||
\(469\) | −0.0504712 | − | 0.0601493i | −0.00233055 | − | 0.00277744i | ||||
\(470\) | −0.735896 | − | 1.27858i | −0.0339444 | − | 0.0589766i | ||||
\(471\) | −32.3701 | + | 11.3753i | −1.49154 | + | 0.524148i | ||||
\(472\) | −22.0791 | + | 1.19649i | −1.01627 | + | 0.0550727i | ||||
\(473\) | −2.71479 | + | 1.17104i | −0.124826 | + | 0.0538447i | ||||
\(474\) | −20.3129 | + | 12.9998i | −0.933003 | + | 0.597103i | ||||
\(475\) | 27.5622 | − | 13.8422i | 1.26464 | − | 0.635126i | ||||
\(476\) | 0.0191013 | + | 0.0644338i | 0.000875505 | + | 0.00295332i | ||||
\(477\) | −1.45444 | − | 40.4792i | −0.0665940 | − | 1.85342i | ||||
\(478\) | −30.7833 | − | 3.64007i | −1.40799 | − | 0.166493i | ||||
\(479\) | 6.07920 | − | 6.44357i | 0.277766 | − | 0.294414i | −0.573439 | − | 0.819248i | \(-0.694391\pi\) |
0.851205 | + | 0.524834i | \(0.175873\pi\) | |||||||
\(480\) | 1.08791 | − | 2.83063i | 0.0496562 | − | 0.129200i | ||||
\(481\) | 17.4176 | − | 11.4557i | 0.794174 | − | 0.522336i | ||||
\(482\) | −18.0845 | + | 19.1168i | −0.823727 | + | 0.870747i | ||||
\(483\) | −0.150144 | − | 0.0373547i | −0.00683179 | − | 0.00169970i | ||||
\(484\) | −0.612083 | + | 2.02464i | −0.0278219 | + | 0.0920290i | ||||
\(485\) | −2.02795 | −0.0920845 | ||||||||
\(486\) | −11.0451 | − | 19.0789i | −0.501017 | − | 0.865438i | ||||
\(487\) | 42.6254i | 1.93154i | 0.259396 | + | 0.965771i | \(0.416476\pi\) | ||||
−0.259396 | + | 0.965771i | \(0.583524\pi\) | |||||||
\(488\) | 17.3022 | + | 16.4564i | 0.783233 | + | 0.744945i | ||||
\(489\) | 2.85069 | − | 11.4581i | 0.128913 | − | 0.518153i | ||||
\(490\) | −2.10553 | + | 2.22572i | −0.0951181 | + | 0.100548i | ||||
\(491\) | 19.3904 | + | 29.4816i | 0.875074 | + | 1.33049i | 0.942999 | + | 0.332796i | \(0.107992\pi\) |
−0.0679245 | + | 0.997690i | \(0.521638\pi\) | |||||||
\(492\) | 2.89123 | − | 4.85160i | 0.130347 | − | 0.218727i | ||||
\(493\) | 7.83231 | + | 7.38940i | 0.352749 | + | 0.332802i | ||||
\(494\) | −2.58037 | + | 21.8216i | −0.116096 | + | 0.981800i | ||||
\(495\) | −1.55397 | − | 2.48130i | −0.0698457 | − | 0.111526i | ||||
\(496\) | −4.24636 | − | 3.19699i | −0.190667 | − | 0.143549i | ||||
\(497\) | −0.0448649 | − | 0.0893334i | −0.00201247 | − | 0.00400715i | ||||
\(498\) | 5.00183 | − | 3.20107i | 0.224137 | − | 0.143443i | ||||
\(499\) | −4.38201 | − | 10.1586i | −0.196166 | − | 0.454763i | 0.791534 | − | 0.611125i | \(-0.209283\pi\) |
−0.987700 | + | 0.156362i | \(0.950023\pi\) | |||||||
\(500\) | 3.05107 | + | 5.31763i | 0.136448 | + | 0.237812i | ||||
\(501\) | 2.78636 | + | 7.92898i | 0.124485 | + | 0.354241i | ||||
\(502\) | −7.39887 | + | 4.25847i | −0.330228 | + | 0.190065i | ||||
\(503\) | −23.2635 | + | 19.5204i | −1.03727 | + | 0.870370i | −0.991698 | − | 0.128591i | \(-0.958955\pi\) |
−0.0455693 | + | 0.998961i | \(0.514510\pi\) | |||||||
\(504\) | −0.0804335 | + | 0.0908911i | −0.00358279 | + | 0.00404861i | ||||
\(505\) | 0.409558 | + | 0.343660i | 0.0182251 | + | 0.0152927i | ||||
\(506\) | 27.4190 | + | 4.87279i | 1.21892 | + | 0.216622i | ||||
\(507\) | −6.45214 | − | 10.0520i | −0.286549 | − | 0.446423i | ||||
\(508\) | 26.2843 | − | 4.56168i | 1.16618 | − | 0.202392i | ||||
\(509\) | −29.0785 | − | 30.8214i | −1.28888 | − | 1.36614i | −0.894422 | − | 0.447223i | \(-0.852413\pi\) |
−0.394460 | − | 0.918913i | \(-0.629068\pi\) | |||||||
\(510\) | −1.66588 | − | 0.629980i | −0.0737664 | − | 0.0278960i | ||||
\(511\) | −0.176636 | − | 0.0761932i | −0.00781390 | − | 0.00337059i | ||||
\(512\) | 22.6258 | + | 0.274220i | 0.999927 | + | 0.0121189i | ||||
\(513\) | −32.3540 | + | 4.59697i | −1.42846 | + | 0.202961i | ||||
\(514\) | 2.02768 | − | 0.115359i | 0.0894371 | − | 0.00508829i | ||||
\(515\) | −0.321178 | − | 2.74785i | −0.0141528 | − | 0.121085i | ||||
\(516\) | −3.24495 | + | 0.144018i | −0.142851 | + | 0.00634004i | ||||
\(517\) | −2.45085 | − | 10.3409i | −0.107788 | − | 0.454794i | ||||
\(518\) | 0.0678179 | − | 0.156639i | 0.00297975 | − | 0.00688233i | ||||
\(519\) | 8.00034 | + | 35.5132i | 0.351176 | + | 1.55886i | ||||
\(520\) | −2.15859 | − | 0.134475i | −0.0946603 | − | 0.00589713i | ||||
\(521\) | 14.7944 | + | 2.60865i | 0.648154 | + | 0.114287i | 0.488053 | − | 0.872814i | \(-0.337707\pi\) |
0.160100 | + | 0.987101i | \(0.448818\pi\) | |||||||
\(522\) | −3.82800 | + | 19.0660i | −0.167547 | + | 0.834494i | ||||
\(523\) | −0.997568 | − | 5.65749i | −0.0436206 | − | 0.247385i | 0.955199 | − | 0.295965i | \(-0.0956413\pi\) |
−0.998819 | + | 0.0485807i | \(0.984530\pi\) | |||||||
\(524\) | −12.9517 | − | 19.8081i | −0.565798 | − | 0.865322i | ||||
\(525\) | −0.0197650 | − | 0.119881i | −0.000862617 | − | 0.00523205i | ||||
\(526\) | −15.2394 | + | 7.62782i | −0.664468 | + | 0.332589i | ||||
\(527\) | −1.86417 | + | 2.50401i | −0.0812045 | + | 0.109077i | ||||
\(528\) | 13.3330 | − | 17.3051i | 0.580245 | − | 0.753109i | ||||
\(529\) | −0.930424 | + | 15.9748i | −0.0404532 | + | 0.694555i | ||||
\(530\) | 1.70257 | − | 5.65922i | 0.0739547 | − | 0.245821i | ||||
\(531\) | −19.1191 | + | 13.5828i | −0.829699 | + | 0.589443i | ||||
\(532\) | 0.0803114 | + | 0.160993i | 0.00348194 | + | 0.00697992i | ||||
\(533\) | −3.91940 | − | 0.928915i | −0.169768 | − | 0.0402358i | ||||
\(534\) | 0.459137 | + | 1.60631i | 0.0198688 | + | 0.0695117i | ||||
\(535\) | 3.78120 | − | 0.220230i | 0.163476 | − | 0.00952137i | ||||
\(536\) | 6.09211 | + | 14.2815i | 0.263139 | + | 0.616865i | ||||
\(537\) | −24.8821 | + | 12.1514i | −1.07374 | + | 0.524370i | ||||
\(538\) | −1.65302 | − | 0.604174i | −0.0712669 | − | 0.0260478i | ||||
\(539\) | −19.1145 | + | 11.0357i | −0.823319 | + | 0.475343i | ||||
\(540\) | −0.628362 | − | 3.15447i | −0.0270404 | − | 0.135747i | ||||
\(541\) | −11.4359 | − | 6.60255i | −0.491670 | − | 0.283866i | 0.233597 | − | 0.972333i | \(-0.424950\pi\) |
−0.725267 | + | 0.688468i | \(0.758284\pi\) | |||||||
\(542\) | −0.130165 | − | 0.155549i | −0.00559106 | − | 0.00668141i | ||||
\(543\) | −17.4181 | − | 23.9485i | −0.747481 | − | 1.02773i | ||||
\(544\) | 0.0894752 | − | 13.2890i | 0.00383622 | − | 0.569762i | ||||
\(545\) | 2.03944 | − | 4.06085i | 0.0873599 | − | 0.173948i | ||||
\(546\) | 0.0790478 | + | 0.0352742i | 0.00338293 | + | 0.00150960i | ||||
\(547\) | 2.64064 | + | 8.82036i | 0.112906 | + | 0.377131i | 0.995701 | − | 0.0926268i | \(-0.0295264\pi\) |
−0.882795 | + | 0.469758i | \(0.844341\pi\) | |||||||
\(548\) | 27.7523 | + | 1.69139i | 1.18552 | + | 0.0722527i | ||||
\(549\) | 24.8380 | + | 4.95210i | 1.06006 | + | 0.211351i | ||||
\(550\) | 5.01469 | + | 21.2864i | 0.213827 | + | 0.907653i | ||||
\(551\) | 24.0841 | + | 15.8403i | 1.02602 | + | 0.674821i | ||||
\(552\) | 26.2608 | + | 15.6976i | 1.11773 | + | 0.668135i | ||||
\(553\) | 0.139875 | + | 0.0163491i | 0.00594809 | + | 0.000695232i | ||||
\(554\) | −13.9227 | − | 0.829718i | −0.591519 | − | 0.0352513i | ||||
\(555\) | 2.21799 | + | 3.94238i | 0.0941486 | + | 0.167345i | ||||
\(556\) | 17.5426 | + | 8.86945i | 0.743971 | + | 0.376149i | ||||
\(557\) | −36.4288 | − | 13.2590i | −1.54354 | − | 0.561803i | −0.576649 | − | 0.816992i | \(-0.695640\pi\) |
−0.966891 | + | 0.255190i | \(0.917862\pi\) | |||||||
\(558\) | −5.61888 | − | 0.460578i | −0.237866 | − | 0.0194978i | ||||
\(559\) | 0.792314 | + | 2.17686i | 0.0335113 | + | 0.0920715i | ||||
\(560\) | −0.0153831 | + | 0.00877130i | −0.000650055 | + | 0.000370655i | ||||
\(561\) | −10.2055 | − | 7.77577i | −0.430877 | − | 0.328293i | ||||
\(562\) | −3.39764 | − | 29.4121i | −0.143321 | − | 1.24067i | ||||
\(563\) | 17.3530 | + | 5.19515i | 0.731342 | + | 0.218949i | 0.630758 | − | 0.775979i | \(-0.282744\pi\) |
0.100583 | + | 0.994929i | \(0.467929\pi\) | |||||||
\(564\) | 1.51561 | − | 11.5766i | 0.0638188 | − | 0.487463i | ||||
\(565\) | −1.39655 | + | 1.03970i | −0.0587535 | + | 0.0437403i | ||||
\(566\) | 6.46733 | + | 3.25893i | 0.271842 | + | 0.136983i | ||||
\(567\) | −0.0206214 | + | 0.127070i | −0.000866016 | + | 0.00533645i | ||||
\(568\) | 3.35393 | + | 19.4810i | 0.140728 | + | 0.817403i | ||||
\(569\) | −14.5810 | + | 10.8552i | −0.611269 | + | 0.455073i | −0.857745 | − | 0.514076i | \(-0.828135\pi\) |
0.246475 | + | 0.969149i | \(0.420728\pi\) | |||||||
\(570\) | −4.68476 | − | 0.886459i | −0.196223 | − | 0.0371297i | ||||
\(571\) | −9.60979 | + | 32.0989i | −0.402157 | + | 1.34330i | 0.482026 | + | 0.876157i | \(0.339901\pi\) |
−0.884183 | + | 0.467141i | \(0.845284\pi\) | |||||||
\(572\) | −14.6263 | − | 5.36820i | −0.611558 | − | 0.224456i | ||||
\(573\) | −2.69889 | + | 21.0552i | −0.112748 | + | 0.879592i | ||||
\(574\) | −0.0310060 | + | 0.0112380i | −0.00129416 | + | 0.000469065i | ||||
\(575\) | −28.7804 | + | 10.4752i | −1.20023 | + | 0.436847i | ||||
\(576\) | 20.4426 | − | 12.5738i | 0.851774 | − | 0.523909i | ||||
\(577\) | 4.88171 | + | 1.77680i | 0.203228 | + | 0.0739690i | 0.441629 | − | 0.897198i | \(-0.354401\pi\) |
−0.238400 | + | 0.971167i | \(0.576623\pi\) | |||||||
\(578\) | 16.2366 | + | 0.0218640i | 0.675355 | + | 0.000909422i | ||||
\(579\) | −0.0209744 | + | 1.88419i | −0.000871666 | + | 0.0783042i | ||||
\(580\) | −1.42524 | + | 2.45331i | −0.0591799 | + | 0.101868i | ||||
\(581\) | −0.0344427 | − | 0.00402577i | −0.00142892 | − | 0.000167017i | ||||
\(582\) | −12.7533 | − | 9.74413i | −0.528641 | − | 0.403907i | ||||
\(583\) | 23.3944 | − | 35.5695i | 0.968898 | − | 1.47314i | ||||
\(584\) | 29.0408 | + | 24.5687i | 1.20171 | + | 1.01666i | ||||
\(585\) | −2.01167 | + | 1.10247i | −0.0831725 | + | 0.0455817i | ||||
\(586\) | 17.3655 | + | 40.4072i | 0.717361 | + | 1.66921i | ||||
\(587\) | 10.2566 | − | 3.07062i | 0.423334 | − | 0.126738i | −0.0680479 | − | 0.997682i | \(-0.521677\pi\) |
0.491382 | + | 0.870944i | \(0.336492\pi\) | |||||||
\(588\) | −23.9355 | + | 3.88011i | −0.987085 | + | 0.160013i | ||||
\(589\) | −3.75064 | + | 7.46813i | −0.154542 | + | 0.307719i | ||||
\(590\) | −3.27936 | + | 0.976965i | −0.135009 | + | 0.0402210i | ||||
\(591\) | 20.7218 | + | 9.21340i | 0.852379 | + | 0.378989i | ||||
\(592\) | −21.8347 | + | 25.7387i | −0.897400 | + | 1.05786i | ||||
\(593\) | −41.8963 | − | 24.1888i | −1.72047 | − | 0.993316i | −0.917951 | − | 0.396694i | \(-0.870158\pi\) |
−0.802522 | − | 0.596622i | \(-0.796509\pi\) | |||||||
\(594\) | 2.14990 | − | 23.0710i | 0.0882116 | − | 0.946613i | ||||
\(595\) | 0.00520007 | + | 0.00900679i | 0.000213182 | + | 0.000369242i | ||||
\(596\) | 17.7158 | + | 18.8792i | 0.725667 | + | 0.773324i | ||||
\(597\) | −1.66941 | + | 24.0480i | −0.0683246 | + | 0.984218i | ||||
\(598\) | 5.06067 | − | 21.2252i | 0.206946 | − | 0.867964i | ||||
\(599\) | 1.79286 | + | 30.7822i | 0.0732543 | + | 1.25773i | 0.811965 | + | 0.583706i | \(0.198398\pi\) |
−0.738711 | + | 0.674022i | \(0.764565\pi\) | |||||||
\(600\) | −3.15090 | + | 23.8181i | −0.128635 | + | 0.972370i | ||||
\(601\) | 45.3003 | + | 10.7364i | 1.84784 | + | 0.437946i | 0.996270 | − | 0.0862964i | \(-0.0275032\pi\) |
0.851569 | + | 0.524242i | \(0.175651\pi\) | |||||||
\(602\) | 0.0151989 | + | 0.0113470i | 0.000619459 | + | 0.000462468i | ||||
\(603\) | 13.5543 | + | 9.35358i | 0.551973 | + | 0.380907i | ||||
\(604\) | 15.2074 | + | 14.4250i | 0.618779 | + | 0.586945i | ||||
\(605\) | −0.0190320 | + | 0.326767i | −0.000773761 | + | 0.0132850i | ||||
\(606\) | 0.924352 | + | 4.12908i | 0.0375492 | + | 0.167733i | ||||
\(607\) | −27.6981 | − | 20.6205i | −1.12423 | − | 0.836960i | −0.136120 | − | 0.990692i | \(-0.543463\pi\) |
−0.988113 | + | 0.153732i | \(0.950871\pi\) | |||||||
\(608\) | −5.94173 | − | 35.0766i | −0.240969 | − | 1.42254i | ||||
\(609\) | 0.0877962 | − | 0.0720197i | 0.00355768 | − | 0.00291839i | ||||
\(610\) | 3.19766 | + | 1.85192i | 0.129470 | + | 0.0749819i | ||||
\(611\) | −8.20037 | + | 1.44595i | −0.331752 | + | 0.0584967i | ||||
\(612\) | −7.44931 | − | 11.9662i | −0.301120 | − | 0.483705i | ||||
\(613\) | −45.6456 | − | 8.04855i | −1.84361 | − | 0.325078i | −0.860692 | − | 0.509126i | \(-0.829969\pi\) |
−0.982917 | + | 0.184048i | \(0.941080\pi\) | |||||||
\(614\) | 4.41804 | + | 3.71732i | 0.178297 | + | 0.150019i | ||||
\(615\) | 0.259970 | − | 0.834441i | 0.0104830 | − | 0.0336479i | ||||
\(616\) | −0.124246 | + | 0.0289172i | −0.00500601 | + | 0.00116511i | ||||
\(617\) | −2.19613 | − | 9.26622i | −0.0884130 | − | 0.373044i | 0.910794 | − | 0.412861i | \(-0.135471\pi\) |
−0.999207 | + | 0.0398173i | \(0.987322\pi\) | |||||||
\(618\) | 11.1834 | − | 18.8238i | 0.449862 | − | 0.757205i | ||||
\(619\) | −11.0055 | + | 1.28635i | −0.442347 | + | 0.0517030i | −0.334352 | − | 0.942448i | \(-0.608517\pi\) |
−0.107995 | + | 0.994151i | \(0.534443\pi\) | |||||||
\(620\) | −0.754399 | − | 0.327828i | −0.0302974 | − | 0.0131659i | ||||
\(621\) | 32.4408 | − | 0.804165i | 1.30180 | − | 0.0322700i | ||||
\(622\) | 4.86705 | − | 3.19173i | 0.195151 | − | 0.127977i | ||||
\(623\) | 0.00386399 | − | 0.00895772i | 0.000154807 | − | 0.000358884i | ||||
\(624\) | −12.9287 | − | 11.2175i | −0.517562 | − | 0.449060i | ||||
\(625\) | −16.1763 | − | 17.1459i | −0.647052 | − | 0.685835i | ||||
\(626\) | 28.2350 | + | 38.0330i | 1.12850 | + | 1.52011i | ||||
\(627\) | −30.5204 | − | 15.7557i | −1.21887 | − | 0.629224i | ||||
\(628\) | −31.7151 | − | 23.7441i | −1.26557 | − | 0.947491i | ||||
\(629\) | 15.1855 | + | 12.7421i | 0.605486 | + | 0.508063i | ||||
\(630\) | −0.00882334 | + | 0.0165808i | −0.000351530 | + | 0.000660593i | ||||
\(631\) | −23.9258 | − | 28.5137i | −0.952472 | − | 1.13511i | −0.990730 | − | 0.135844i | \(-0.956625\pi\) |
0.0382585 | − | 0.999268i | \(-0.487819\pi\) | |||||||
\(632\) | −25.5252 | − | 11.1330i | −1.01534 | − | 0.442848i | ||||
\(633\) | 13.7404 | + | 2.58082i | 0.546131 | + | 0.102578i | ||||
\(634\) | −10.8996 | − | 7.18985i | −0.432880 | − | 0.285546i | ||||
\(635\) | 3.79071 | − | 1.63515i | 0.150430 | − | 0.0648890i | ||||
\(636\) | 37.8991 | − | 27.4087i | 1.50280 | − | 1.08683i | ||||
\(637\) | 7.76137 | + | 15.4542i | 0.307517 | + | 0.612316i | ||||
\(638\) | −14.8859 | + | 14.0062i | −0.589337 | + | 0.554512i | ||||
\(639\) | 14.0452 | + | 15.5671i | 0.555618 | + | 0.615826i | ||||
\(640\) | 3.41470 | − | 0.775379i | 0.134978 | − | 0.0306495i | ||||
\(641\) | 17.6044 | + | 16.6089i | 0.695331 | + | 0.656011i | 0.950442 | − | 0.310901i | \(-0.100631\pi\) |
−0.255111 | + | 0.966912i | \(0.582112\pi\) | |||||||
\(642\) | 24.8372 | + | 16.7834i | 0.980247 | + | 0.662387i | ||||
\(643\) | −7.55665 | + | 4.97009i | −0.298005 | + | 0.196001i | −0.689702 | − | 0.724093i | \(-0.742259\pi\) |
0.391697 | + | 0.920094i | \(0.371888\pi\) | |||||||
\(644\) | −0.0606518 | − | 0.168046i | −0.00239001 | − | 0.00662194i | ||||
\(645\) | −0.483113 | + | 0.138794i | −0.0190226 | + | 0.00546501i | ||||
\(646\) | −20.5818 | + | 3.60055i | −0.809779 | + | 0.141662i | ||||
\(647\) | −41.6924 | −1.63910 | −0.819548 | − | 0.573011i | \(-0.805775\pi\) | ||||
−0.819548 | + | 0.573011i | \(0.805775\pi\) | |||||||
\(648\) | 11.2054 | − | 22.8569i | 0.440188 | − | 0.897905i | ||||
\(649\) | −24.6501 | −0.967603 | ||||||||
\(650\) | 16.8787 | − | 2.95274i | 0.662037 | − | 0.115816i | ||||
\(651\) | 0.0236930 | + | 0.0228570i | 0.000928601 | + | 0.000895835i | ||||
\(652\) | 12.8243 | − | 4.62858i | 0.502237 | − | 0.181269i | ||||
\(653\) | 41.8583 | − | 27.5306i | 1.63804 | − | 1.07736i | 0.710459 | − | 0.703738i | \(-0.248487\pi\) |
0.927582 | − | 0.373619i | \(-0.121883\pi\) | |||||||
\(654\) | 32.3376 | − | 15.7384i | 1.26450 | − | 0.615419i | ||||
\(655\) | −2.66397 | − | 2.51332i | −0.104090 | − | 0.0982036i | ||||
\(656\) | 6.51239 | − | 0.344118i | 0.254266 | − | 0.0134355i | ||||
\(657\) | 39.9597 | + | 5.57489i | 1.55898 | + | 0.217497i | ||||
\(658\) | −0.0496536 | + | 0.0467196i | −0.00193570 | + | 0.00182132i | ||||
\(659\) | −18.0494 | − | 35.9394i | −0.703106 | − | 1.40000i | −0.907052 | − | 0.421018i | \(-0.861673\pi\) |
0.203946 | − | 0.978982i | \(-0.434623\pi\) | |||||||
\(660\) | 1.38180 | − | 3.08537i | 0.0537864 | − | 0.120098i | ||||
\(661\) | 12.4030 | − | 5.35012i | 0.482420 | − | 0.208096i | −0.140959 | − | 0.990015i | \(-0.545019\pi\) |
0.623379 | + | 0.781920i | \(0.285759\pi\) | |||||||
\(662\) | 3.78630 | + | 2.49760i | 0.147159 | + | 0.0970720i | ||||
\(663\) | −6.54717 | + | 7.62853i | −0.254271 | + | 0.296268i | ||||
\(664\) | 6.28530 | + | 2.74138i | 0.243917 | + | 0.106386i | ||||
\(665\) | 0.0178963 | + | 0.0213280i | 0.000693990 | + | 0.000827066i | ||||
\(666\) | −4.99439 | + | 35.4499i | −0.193529 | + | 1.37366i | ||||
\(667\) | −21.9281 | − | 18.3998i | −0.849058 | − | 0.712445i | ||||
\(668\) | −5.81605 | + | 7.76854i | −0.225030 | + | 0.300574i | ||||
\(669\) | 1.55585 | + | 33.0461i | 0.0601525 | + | 1.27764i | ||||
\(670\) | 1.43223 | + | 1.92924i | 0.0553319 | + | 0.0745330i | ||||
\(671\) | 18.2677 | + | 19.3626i | 0.705216 | + | 0.747485i | ||||
\(672\) | −0.138886 | − | 0.0187540i | −0.00535764 | − | 0.000723449i | ||||
\(673\) | −9.27215 | + | 21.4953i | −0.357415 | + | 0.828581i | 0.640734 | + | 0.767763i | \(0.278630\pi\) |
−0.998149 | + | 0.0608183i | \(0.980629\pi\) | |||||||
\(674\) | 18.3169 | − | 12.0119i | 0.705541 | − | 0.462682i | ||||
\(675\) | 10.6701 | + | 23.1416i | 0.410691 | + | 0.890721i | ||||
\(676\) | 5.49696 | − | 12.6496i | 0.211422 | − | 0.486523i | ||||
\(677\) | −18.7179 | + | 2.18781i | −0.719389 | + | 0.0840845i | −0.467907 | − | 0.883778i | \(-0.654992\pi\) |
−0.251482 | + | 0.967862i | \(0.580918\pi\) | |||||||
\(678\) | −13.7782 | − | 0.171933i | −0.529150 | − | 0.00660303i | ||||
\(679\) | 0.0216136 | + | 0.0911952i | 0.000829456 | + | 0.00349975i | ||||
\(680\) | −0.466184 | − | 2.00301i | −0.0178773 | − | 0.0768119i | ||||
\(681\) | −15.2627 | − | 16.5426i | −0.584869 | − | 0.633915i | ||||
\(682\) | −4.53410 | − | 3.81498i | −0.173620 | − | 0.146083i | ||||
\(683\) | 12.1394 | + | 2.14050i | 0.464500 | + | 0.0819038i | 0.401000 | − | 0.916078i | \(-0.368663\pi\) |
0.0634996 | + | 0.997982i | \(0.479774\pi\) | |||||||
\(684\) | −25.2019 | − | 28.0846i | −0.963620 | − | 1.07384i | ||||
\(685\) | 4.23731 | − | 0.747151i | 0.161899 | − | 0.0285472i | ||||
\(686\) | 0.245062 | + | 0.141927i | 0.00935650 | + | 0.00541879i | ||||
\(687\) | −24.3136 | − | 9.15720i | −0.927623 | − | 0.349369i | ||||
\(688\) | −2.22349 | − | 3.02049i | −0.0847696 | − | 0.115155i | ||||
\(689\) | −26.7567 | − | 19.9197i | −1.01935 | − | 0.758878i | ||||
\(690\) | 4.51840 | + | 1.41439i | 0.172012 | + | 0.0538448i | ||||
\(691\) | −1.98343 | + | 34.0542i | −0.0754533 | + | 1.29548i | 0.721911 | + | 0.691986i | \(0.243264\pi\) |
−0.797365 | + | 0.603498i | \(0.793773\pi\) | |||||||
\(692\) | −28.9282 | + | 30.4972i | −1.09969 | + | 1.15933i | ||||
\(693\) | −0.0950198 | + | 0.0963259i | −0.00360950 | + | 0.00365912i | ||||
\(694\) | 39.0499 | + | 29.1534i | 1.48231 | + | 1.10665i | ||||
\(695\) | 2.96000 | + | 0.701532i | 0.112279 | + | 0.0266106i | ||||
\(696\) | −20.7509 | + | 8.58009i | −0.786562 | + | 0.325227i | ||||
\(697\) | −0.222703 | − | 3.82366i | −0.00843546 | − | 0.144831i | ||||
\(698\) | 6.04170 | − | 25.3398i | 0.228682 | − | 0.959127i | ||||
\(699\) | −17.3608 | − | 11.6973i | −0.656644 | − | 0.442431i | ||||
\(700\) | 0.102306 | − | 0.0960017i | 0.00386682 | − | 0.00362852i | ||||
\(701\) | 18.5632 | + | 32.1524i | 0.701121 | + | 1.21438i | 0.968073 | + | 0.250668i | \(0.0806502\pi\) |
−0.266952 | + | 0.963710i | \(0.586016\pi\) | |||||||
\(702\) | −17.9482 | − | 2.73273i | −0.677412 | − | 0.103140i | ||||
\(703\) | 45.9582 | + | 26.5340i | 1.73335 | + | 1.00075i | ||||
\(704\) | 25.1699 | + | 1.67013i | 0.948628 | + | 0.0629455i | ||||
\(705\) | −0.189767 | − | 1.79679i | −0.00714702 | − | 0.0676711i | ||||
\(706\) | −20.1523 | + | 6.00363i | −0.758440 | + | 0.225950i | ||||
\(707\) | 0.0110891 | − | 0.0220801i | 0.000417047 | − | 0.000830409i | ||||
\(708\) | −25.3173 | − | 9.61313i | −0.951482 | − | 0.361284i | ||||
\(709\) | 34.4053 | − | 10.3003i | 1.29212 | − | 0.386835i | 0.434291 | − | 0.900773i | \(-0.356999\pi\) |
0.857828 | + | 0.513938i | \(0.171814\pi\) | |||||||
\(710\) | 1.20785 | + | 2.81051i | 0.0453298 | + | 0.105477i | ||||
\(711\) | −29.1949 | + | 4.48020i | −1.09490 | + | 0.168021i | ||||
\(712\) | −1.24595 | + | 1.47274i | −0.0466940 | + | 0.0551934i | ||||
\(713\) | 4.56021 | − | 6.93346i | 0.170781 | − | 0.259660i | ||||
\(714\) | −0.0105749 | + | 0.0816274i | −0.000395755 | + | 0.00305483i | ||||
\(715\) | −2.39478 | − | 0.279910i | −0.0895597 | − | 0.0104680i | ||||
\(716\) | −27.6476 | − | 16.0618i | −1.03324 | − | 0.600257i | ||||
\(717\) | −32.6647 | − | 19.3470i | −1.21989 | − | 0.722525i | ||||
\(718\) | 19.4090 | + | 0.0261359i | 0.724338 | + | 0.000975381i | ||||
\(719\) | −36.5436 | − | 13.3008i | −1.36284 | − | 0.496035i | −0.445912 | − | 0.895077i | \(-0.647121\pi\) |
−0.916933 | + | 0.399042i | \(0.869343\pi\) | |||||||
\(720\) | 2.62244 | − | 2.63000i | 0.0977324 | − | 0.0980143i | ||||
\(721\) | −0.120145 | + | 0.0437294i | −0.00447445 | + | 0.00162857i | ||||
\(722\) | −27.3258 | + | 9.90413i | −1.01696 | + | 0.368593i | ||||
\(723\) | −29.7341 | + | 12.4353i | −1.10582 | + | 0.462475i | ||||
\(724\) | 11.7815 | − | 32.1002i | 0.437857 | − | 1.19299i | ||||
\(725\) | 6.44699 | − | 21.5344i | 0.239435 | − | 0.799769i | ||||
\(726\) | −1.68977 | + | 1.96351i | −0.0627134 | + | 0.0728726i | ||||
\(727\) | 9.63487 | − | 7.17290i | 0.357338 | − | 0.266028i | −0.403487 | − | 0.914985i | \(-0.632202\pi\) |
0.760825 | + | 0.648957i | \(0.224795\pi\) | |||||||
\(728\) | 0.0169587 | + | 0.0985030i | 0.000628532 | + | 0.00365076i | ||||
\(729\) | −2.90349 | − | 26.8434i | −0.107537 | − | 0.994201i | ||||
\(730\) | 5.25693 | + | 2.64900i | 0.194568 | + | 0.0980438i | ||||
\(731\) | −1.76691 | + | 1.31541i | −0.0653514 | + | 0.0486523i | ||||
\(732\) | 11.2110 | + | 27.0107i | 0.414370 | + | 0.998345i | ||||
\(733\) | 42.3713 | + | 12.6851i | 1.56502 | + | 0.468536i | 0.947963 | − | 0.318381i | \(-0.103139\pi\) |
0.617058 | + | 0.786918i | \(0.288324\pi\) | |||||||
\(734\) | 2.68575 | + | 23.2495i | 0.0991329 | + | 0.858156i | ||||
\(735\) | −3.46186 | + | 1.44781i | −0.127693 | + | 0.0534033i | ||||
\(736\) | 1.81663 | + | 35.2811i | 0.0669619 | + | 1.30048i | ||||
\(737\) | 5.92009 | + | 16.2653i | 0.218069 | + | 0.599140i | ||||
\(738\) | 5.64431 | − | 3.99846i | 0.207770 | − | 0.147185i | ||||
\(739\) | 27.8118 | + | 10.1227i | 1.02307 | + | 0.372368i | 0.798439 | − | 0.602075i | \(-0.205659\pi\) |
0.224633 | + | 0.974443i | \(0.427882\pi\) | |||||||
\(740\) | −2.35676 | + | 4.66135i | −0.0866362 | + | 0.171355i | ||||
\(741\) | −13.7146 | + | 23.1553i | −0.503820 | + | 0.850632i | ||||
\(742\) | −0.272636 | − | 0.0162476i | −0.0100088 | − | 0.000596469i | ||||
\(743\) | −23.6959 | − | 2.76966i | −0.869319 | − | 0.101609i | −0.330273 | − | 0.943885i | \(-0.607141\pi\) |
−0.539046 | + | 0.842277i | \(0.681215\pi\) | |||||||
\(744\) | −3.16904 | − | 5.68645i | −0.116183 | − | 0.208475i | ||||
\(745\) | 3.34735 | + | 2.20159i | 0.122637 | + | 0.0806599i | ||||
\(746\) | −3.22125 | − | 13.6735i | −0.117938 | − | 0.500624i | ||||
\(747\) | 7.18893 | − | 1.10320i | 0.263029 | − | 0.0403640i | ||||
\(748\) | 0.901250 | − | 14.7877i | 0.0329530 | − | 0.540690i | ||||
\(749\) | −0.0502031 | − | 0.167690i | −0.00183438 | − | 0.00612726i | ||||
\(750\) | 0.778574 | + | 7.46815i | 0.0284295 | + | 0.272698i | ||||
\(751\) | −8.49996 | + | 16.9248i | −0.310168 | + | 0.617595i | −0.993668 | − | 0.112355i | \(-0.964161\pi\) |
0.683500 | + | 0.729950i | \(0.260457\pi\) | |||||||
\(752\) | 12.0800 | − | 5.98555i | 0.440512 | − | 0.218270i | ||||
\(753\) | −10.3976 | + | 1.09814i | −0.378911 | + | 0.0400183i | ||||
\(754\) | 10.2775 | + | 12.2819i | 0.374286 | + | 0.447279i | ||||
\(755\) | 2.80911 | + | 1.62184i | 0.102234 | + | 0.0590247i | ||||
\(756\) | −0.135157 | + | 0.0618769i | −0.00491561 | + | 0.00225044i | ||||
\(757\) | 31.2983 | − | 18.0701i | 1.13755 | − | 0.656767i | 0.191730 | − | 0.981448i | \(-0.438590\pi\) |
0.945824 | + | 0.324680i | \(0.105257\pi\) | |||||||
\(758\) | 39.6073 | + | 14.4763i | 1.43860 | + | 0.525803i | ||||
\(759\) | 28.2860 | + | 19.0584i | 1.02672 | + | 0.691776i | ||||
\(760\) | −2.16017 | − | 5.06399i | −0.0783577 | − | 0.183690i | ||||
\(761\) | −0.130125 | + | 0.00757890i | −0.00471701 | + | 0.000274735i | −0.0605032 | − | 0.998168i | \(-0.519271\pi\) |
0.0557862 | + | 0.998443i | \(0.482233\pi\) | |||||||
\(762\) | 31.6956 | + | 7.93096i | 1.14821 | + | 0.287308i | ||||
\(763\) | −0.204349 | − | 0.0484316i | −0.00739793 | − | 0.00175334i | ||||
\(764\) | −21.9337 | + | 10.9416i | −0.793532 | + | 0.395854i | ||||
\(765\) | −1.55290 | − | 1.53184i | −0.0561452 | − | 0.0553839i | ||||
\(766\) | 5.85574 | − | 19.4641i | 0.211576 | − | 0.703266i | ||||
\(767\) | −1.12301 | + | 19.2814i | −0.0405497 | + | 0.696211i | ||||
\(768\) | 25.1998 | + | 11.5312i | 0.909321 | + | 0.416096i | ||||
\(769\) | 1.81844 | − | 2.44259i | 0.0655748 | − | 0.0880822i | −0.768126 | − | 0.640299i | \(-0.778810\pi\) |
0.833701 | + | 0.552217i | \(0.186218\pi\) | |||||||
\(770\) | −0.0176533 | + | 0.00883605i | −0.000636179 | + | 0.000318429i | ||||
\(771\) | 2.32778 | + | 0.876708i | 0.0838331 | + | 0.0315739i | ||||
\(772\) | −1.82107 | + | 1.19073i | −0.0655419 | + | 0.0428552i | ||||
\(773\) | −0.0260874 | − | 0.147949i | −0.000938300 | − | 0.00532136i | 0.984335 | − | 0.176308i | \(-0.0564155\pi\) |
−0.985273 | + | 0.170987i | \(0.945304\pi\) | |||||||
\(774\) | −3.70507 | − | 1.44848i | −0.133176 | − | 0.0520644i | ||||
\(775\) | 6.41782 | + | 1.13164i | 0.230535 | + | 0.0406495i | ||||
\(776\) | 1.15231 | − | 18.4968i | 0.0413655 | − | 0.663996i | ||||
\(777\) | 0.153646 | − | 0.141759i | 0.00551203 | − | 0.00508556i | ||||
\(778\) | −0.459307 | + | 1.06086i | −0.0164670 | + | 0.0380338i | ||||
\(779\) | −2.36462 | − | 9.97711i | −0.0847212 | − | 0.357467i | ||||
\(780\) | −2.35043 | − | 1.22141i | −0.0841590 | − | 0.0437334i | ||||
\(781\) | 2.55835 | + | 21.8881i | 0.0915451 | + | 0.783218i | ||||
\(782\) | 20.7149 | − | 1.17852i | 0.740765 | − | 0.0421438i | ||||
\(783\) | −13.7447 | + | 19.4507i | −0.491195 | + | 0.695111i | ||||
\(784\) | −19.1042 | − | 20.4691i | −0.682294 | − | 0.731038i | ||||
\(785\) | −5.62961 | − | 2.42838i | −0.200929 | − | 0.0866725i | ||||
\(786\) | −4.67672 | − | 28.6058i | −0.166813 | − | 1.02033i | ||||
\(787\) | 34.4430 | + | 36.5075i | 1.22776 | + | 1.30135i | 0.938987 | + | 0.343953i | \(0.111766\pi\) |
0.288774 | + | 0.957397i | \(0.406752\pi\) | |||||||
\(788\) | 4.47767 | + | 25.8003i | 0.159511 | + | 0.919097i | ||||
\(789\) | −20.8487 | + | 0.981580i | −0.742235 | + | 0.0349452i | ||||
\(790\) | −4.24296 | − | 0.754040i | −0.150958 | − | 0.0268275i | ||||
\(791\) | 0.0616385 | + | 0.0517208i | 0.00219161 | + | 0.00183898i | ||||
\(792\) | 23.5147 | − | 12.7637i | 0.835559 | − | 0.453539i | ||||
\(793\) | 15.9777 | − | 13.4069i | 0.567386 | − | 0.476093i | ||||
\(794\) | 39.2229 | − | 22.5750i | 1.39197 | − | 0.801157i | ||||
\(795\) | 4.71391 | − | 5.49247i | 0.167185 | − | 0.194798i | ||||
\(796\) | −24.1432 | + | 13.8525i | −0.855734 | + | 0.490990i | ||||
\(797\) | −0.681715 | − | 1.58039i | −0.0241476 | − | 0.0559804i | 0.905716 | − | 0.423886i | \(-0.139334\pi\) |
−0.929863 | + | 0.367905i | \(0.880075\pi\) | |||||||
\(798\) | 0.0100663 | + | 0.220117i | 0.000356343 | + | 0.00779206i | ||||
\(799\) | −3.55354 | − | 7.07568i | −0.125715 | − | 0.250320i | ||||
\(800\) | −24.8748 | + | 12.2836i | −0.879456 | + | 0.434289i | ||||
\(801\) | −0.282719 | + | 2.02648i | −0.00998940 | + | 0.0716021i | ||||
\(802\) | −0.209290 | + | 1.76992i | −0.00739029 | + | 0.0624980i | ||||
\(803\) | 30.8454 | + | 29.1012i | 1.08851 | + | 1.02696i | ||||
\(804\) | −0.262879 | + | 19.0143i | −0.00927104 | + | 0.670581i | ||||
\(805\) | −0.0151925 | − | 0.0230990i | −0.000535464 | − | 0.000814134i | ||||
\(806\) | −3.19065 | + | 3.37278i | −0.112386 | + | 0.118801i | ||||
\(807\) | −1.55131 | − | 1.49657i | −0.0546086 | − | 0.0526817i | ||||
\(808\) | −3.36721 | + | 3.54028i | −0.118458 | + | 0.124546i | ||||
\(809\) | − | 29.0903i | − | 1.02276i | −0.859354 | − | 0.511381i | \(-0.829134\pi\) | ||
0.859354 | − | 0.511381i | \(-0.170866\pi\) | |||||||
\(810\) | 0.861235 | − | 3.84403i | 0.0302607 | − | 0.135066i | ||||
\(811\) | 49.6472 | 1.74335 | 0.871675 | − | 0.490085i | \(-0.163034\pi\) | ||||
0.871675 | + | 0.490085i | \(0.163034\pi\) | |||||||
\(812\) | 0.125513 | + | 0.0379448i | 0.00440465 | + | 0.00133160i | ||||
\(813\) | −0.0685915 | − | 0.238753i | −0.00240561 | − | 0.00837342i | ||||
\(814\) | −25.8586 | + | 27.3346i | −0.906342 | + | 0.958079i | ||||
\(815\) | 1.76278 | − | 1.15940i | 0.0617475 | − | 0.0406120i | ||||
\(816\) | 6.69257 | − | 14.8364i | 0.234287 | − | 0.519378i | ||||
\(817\) | −4.04676 | + | 4.28931i | −0.141578 | + | 0.150064i | ||||
\(818\) | −39.9158 | − | 4.71998i | −1.39562 | − | 0.165030i | ||||
\(819\) | 0.0710175 | + | 0.0787131i | 0.00248155 | + | 0.00275046i | ||||
\(820\) | 0.967587 | − | 0.286839i | 0.0337896 | − | 0.0100169i | ||||
\(821\) | −13.3115 | + | 6.68528i | −0.464574 | + | 0.233318i | −0.665659 | − | 0.746256i | \(-0.731850\pi\) |
0.201085 | + | 0.979574i | \(0.435553\pi\) | |||||||
\(822\) | 30.2374 | + | 15.6612i | 1.05465 | + | 0.546249i | ||||
\(823\) | −39.7644 | + | 17.1527i | −1.38610 | + | 0.597905i | −0.952870 | − | 0.303378i | \(-0.901885\pi\) |
−0.433230 | + | 0.901283i | \(0.642626\pi\) | |||||||
\(824\) | 25.2455 | − | 1.36807i | 0.879468 | − | 0.0476591i | ||||
\(825\) | −4.94431 | + | 26.3237i | −0.172139 | + | 0.916474i | ||||
\(826\) | 0.0788842 | + | 0.137057i | 0.00274473 | + | 0.00476883i | ||||
\(827\) | −26.4327 | − | 31.5013i | −0.919156 | − | 1.09541i | −0.995157 | − | 0.0983000i | \(-0.968660\pi\) |
0.0760006 | − | 0.997108i | \(-0.475785\pi\) | |||||||
\(828\) | 21.6191 | + | 30.6052i | 0.751315 | + | 1.06361i | ||||
\(829\) | −8.75799 | + | 10.4374i | −0.304177 | + | 0.362505i | −0.896381 | − | 0.443283i | \(-0.853814\pi\) |
0.592204 | + | 0.805788i | \(0.298258\pi\) | |||||||
\(830\) | 1.04478 | + | 0.185674i | 0.0362649 | + | 0.00644484i | ||||
\(831\) | −15.1788 | − | 7.83583i | −0.526545 | − | 0.271822i | ||||
\(832\) | 2.45308 | − | 19.6119i | 0.0850452 | − | 0.679921i | ||||
\(833\) | −11.9611 | + | 11.2847i | −0.414427 | + | 0.390992i | ||||
\(834\) | 15.2439 | + | 18.6343i | 0.527853 | + | 0.645253i | ||||
\(835\) | −0.594825 | + | 1.37896i | −0.0205848 | + | 0.0477209i | ||||
\(836\) | −4.49824 | − | 39.4049i | −0.155575 | − | 1.36285i | ||||
\(837\) | −6.06343 | − | 3.30314i | −0.209583 | − | 0.114173i | ||||
\(838\) | −23.2288 | + | 1.32154i | −0.802427 | + | 0.0456519i | ||||
\(839\) | −1.05142 | + | 0.122894i | −0.0362991 | + | 0.00424276i | −0.134223 | − | 0.990951i | \(-0.542854\pi\) |
0.0979240 | + | 0.995194i | \(0.468780\pi\) | |||||||
\(840\) | −0.0215769 | + | 0.00219073i | −0.000744475 | + | 7.55873e-5i | ||||
\(841\) | −7.77548 | + | 1.84282i | −0.268120 | + | 0.0635456i | ||||
\(842\) | −18.4161 | − | 7.97338i | −0.634662 | − | 0.274781i | ||||
\(843\) | 10.7860 | − | 34.6205i | 0.371491 | − | 1.19239i | ||||
\(844\) | 6.35416 | + | 14.8404i | 0.218719 | + | 0.510826i | ||||
\(845\) | 0.370633 | − | 2.10196i | 0.0127501 | − | 0.0723097i | ||||
\(846\) | 7.44004 | − | 12.2114i | 0.255794 | − | 0.419837i | ||||
\(847\) | 0.0148972 | − | 0.00262679i | 0.000511876 | − | 9.02575e-5i | ||||
\(848\) | 50.6499 | + | 18.7446i | 1.73932 | + | 0.643693i | ||||
\(849\) | 5.62531 | + | 6.85758i | 0.193060 | + | 0.235351i | ||||
\(850\) | 7.29286 | + | 14.5702i | 0.250143 | + | 0.499752i | ||||
\(851\) | −42.2698 | − | 31.4687i | −1.44899 | − | 1.07873i | ||||
\(852\) | −5.90839 | + | 23.4782i | −0.202418 | + | 0.804350i | ||||
\(853\) | −14.9047 | − | 0.868100i | −0.510327 | − | 0.0297232i | −0.198950 | − | 0.980010i | \(-0.563753\pi\) |
−0.311377 | + | 0.950286i | \(0.600790\pi\) | |||||||
\(854\) | 0.0491987 | − | 0.163533i | 0.00168355 | − | 0.00559600i | ||||
\(855\) | −4.80615 | − | 3.31664i | −0.164367 | − | 0.113427i | ||||
\(856\) | −0.139829 | + | 34.6132i | −0.00477927 | + | 1.18305i | ||||
\(857\) | 6.66149 | − | 28.1070i | 0.227552 | − | 0.960118i | −0.732604 | − | 0.680655i | \(-0.761695\pi\) |
0.960156 | − | 0.279463i | \(-0.0901565\pi\) | |||||||
\(858\) | −13.7152 | − | 13.2670i | −0.468231 | − | 0.452928i | ||||
\(859\) | −2.48012 | − | 42.5821i | −0.0846207 | − | 1.45288i | −0.727075 | − | 0.686558i | \(-0.759121\pi\) |
0.642455 | − | 0.766324i | \(-0.277916\pi\) | |||||||
\(860\) | −0.443618 | − | 0.374280i | −0.0151273 | − | 0.0127629i | ||||
\(861\) | −0.0402948 | − | 0.00279727i | −0.00137324 | − | 9.53308e-5i | ||||
\(862\) | −29.0180 | − | 10.6060i | −0.988358 | − | 0.361241i | ||||
\(863\) | −1.09166 | − | 1.89082i | −0.0371607 | − | 0.0643642i | 0.846847 | − | 0.531837i | \(-0.178498\pi\) |
−0.884008 | + | 0.467473i | \(0.845165\pi\) | |||||||
\(864\) | 29.1288 | − | 3.93883i | 0.990981 | − | 0.134002i | ||||
\(865\) | −3.25247 | + | 5.63345i | −0.110587 | + | 0.191543i | ||||
\(866\) | 22.8106 | − | 19.0881i | 0.775136 | − | 0.648640i | ||||
\(867\) | 18.1706 | + | 8.07911i | 0.617107 | + | 0.274381i | ||||
\(868\) | −0.00670186 | + | 0.0374186i | −0.000227476 | + | 0.00127007i | ||||
\(869\) | −27.7425 | − | 13.9328i | −0.941101 | − | 0.472638i | ||||
\(870\) | −2.81299 | + | 2.04014i | −0.0953692 | + | 0.0691671i | ||||
\(871\) | 12.9925 | − | 3.88969i | 0.440233 | − | 0.131797i | ||||
\(872\) | 35.8799 | + | 20.9090i | 1.21505 | + | 0.708068i | ||||
\(873\) | −9.44704 | − | 17.2379i | −0.319734 | − | 0.583415i | ||||
\(874\) | 54.0648 | − | 12.7367i | 1.82877 | − | 0.430826i | ||||
\(875\) | 0.0240938 | − | 0.0366329i | 0.000814520 | − | 0.00123842i | ||||
\(876\) | 20.3313 | + | 41.9180i | 0.686931 | + | 1.41628i | ||||
\(877\) | 1.37720 | − | 11.7827i | 0.0465048 | − | 0.397874i | −0.949859 | − | 0.312677i | \(-0.898774\pi\) |
0.996364 | − | 0.0851964i | \(-0.0271518\pi\) | |||||||
\(878\) | 7.41846 | + | 0.442100i | 0.250361 | + | 0.0149202i | ||||
\(879\) | −0.599578 | + | 53.8618i | −0.0202233 | + | 1.81671i | ||||
\(880\) | 3.84794 | − | 0.657146i | 0.129714 | − | 0.0221524i | ||||
\(881\) | 15.2050 | − | 41.7753i | 0.512268 | − | 1.40745i | −0.366599 | − | 0.930379i | \(-0.619478\pi\) |
0.878867 | − | 0.477066i | \(-0.158300\pi\) | |||||||
\(882\) | −28.7274 | − | 7.52901i | −0.967301 | − | 0.253515i | ||||
\(883\) | 4.21025 | − | 1.53240i | 0.141686 | − | 0.0515695i | −0.270204 | − | 0.962803i | \(-0.587091\pi\) |
0.411890 | + | 0.911234i | \(0.364869\pi\) | |||||||
\(884\) | −11.5259 | − | 1.37866i | −0.387657 | − | 0.0463693i | ||||
\(885\) | −4.15681 | − | 0.532827i | −0.139730 | − | 0.0179108i | ||||
\(886\) | 0.495482 | + | 4.28920i | 0.0166461 | + | 0.144099i | ||||
\(887\) | 11.2026 | − | 37.4192i | 0.376146 | − | 1.25642i | −0.535183 | − | 0.844736i | \(-0.679757\pi\) |
0.911329 | − | 0.411679i | \(-0.135057\pi\) | |||||||
\(888\) | −37.2185 | + | 17.9900i | −1.24897 | + | 0.603706i | ||||
\(889\) | −0.113932 | − | 0.153037i | −0.00382116 | − | 0.00513271i | ||||
\(890\) | −0.134339 | + | 0.266595i | −0.00450304 | + | 0.00893627i | ||||
\(891\) | 13.8524 | − | 24.7679i | 0.464073 | − | 0.829755i | ||||
\(892\) | −30.7029 | + | 22.7292i | −1.02801 | + | 0.761031i | ||||
\(893\) | −12.6578 | − | 17.0023i | −0.423575 | − | 0.568961i | ||||
\(894\) | 10.4722 | + | 29.9290i | 0.350244 | + | 1.00098i | ||||
\(895\) | −4.74023 | − | 1.41913i | −0.158448 | − | 0.0474364i | ||||
\(896\) | −0.0712615 | − | 0.145292i | −0.00238068 | − | 0.00485387i | ||||
\(897\) | 16.1962 | − | 21.2571i | 0.540775 | − | 0.709754i | ||||
\(898\) | −4.90856 | − | 13.5429i | −0.163801 | − | 0.451932i | ||||
\(899\) | 2.08316 | + | 5.72344i | 0.0694774 | + | 0.190887i | ||||
\(900\) | −15.3439 | + | 25.1079i | −0.511464 | + | 0.836932i | ||||
\(901\) | 10.8485 | − | 29.8061i | 0.361417 | − | 0.992985i | ||||
\(902\) | 7.27021 | + | 0.00978994i | 0.242072 | + | 0.000325969i | ||||
\(903\) | 0.0113904 | + | 0.0202459i | 0.000379049 | + | 0.000673742i | ||||
\(904\) | −8.68945 | − | 13.3286i | −0.289007 | − | 0.443304i | ||||
\(905\) | 0.614313 | − | 5.25579i | 0.0204205 | − | 0.174708i | ||||
\(906\) | 9.87298 | + | 23.6969i | 0.328008 | + | 0.787275i | ||||
\(907\) | −44.4972 | − | 29.2663i | −1.47751 | − | 0.971771i | −0.995415 | − | 0.0956505i | \(-0.969507\pi\) |
−0.482092 | − | 0.876121i | \(-0.660123\pi\) | |||||||
\(908\) | 6.06179 | − | 25.2732i | 0.201167 | − | 0.838720i | ||||
\(909\) | −1.01327 | + | 5.08222i | −0.0336081 | + | 0.168566i | ||||
\(910\) | 0.00610733 | + | 0.0142110i | 0.000202456 | + | 0.000471089i | ||||
\(911\) | −11.7202 | − | 39.1482i | −0.388308 | − | 1.29704i | −0.899254 | − | 0.437427i | \(-0.855890\pi\) |
0.510946 | − | 0.859613i | \(-0.329295\pi\) | |||||||
\(912\) | 10.7473 | − | 42.2256i | 0.355878 | − | 1.39823i | ||||
\(913\) | 6.83129 | + | 3.43080i | 0.226083 | + | 0.113543i | ||||
\(914\) | −9.61805 | − | 32.2847i | −0.318137 | − | 1.06788i | ||||
\(915\) | 2.66198 | + | 3.66002i | 0.0880025 | + | 0.120997i | ||||
\(916\) | −6.83987 | − | 29.2100i | −0.225996 | − | 0.965127i | ||||
\(917\) | −0.0846296 | + | 0.146583i | −0.00279472 | + | 0.00484059i | ||||
\(918\) | −2.40543 | − | 17.0949i | −0.0793911 | − | 0.564217i | ||||
\(919\) | −0.940875 | + | 0.543215i | −0.0310366 | + | 0.0179190i | −0.515438 | − | 0.856927i | \(-0.672371\pi\) |
0.484401 | + | 0.874846i | \(0.339037\pi\) | |||||||
\(920\) | 1.54679 | + | 5.24366i | 0.0509963 | + | 0.172878i | ||||
\(921\) | 3.10315 | + | 6.35427i | 0.102252 | + | 0.209380i | ||||
\(922\) | −21.4511 | − | 5.11451i | −0.706453 | − | 0.168438i | ||||
\(923\) | 17.2375 | − | 1.00397i | 0.567379 | − | 0.0330460i | ||||
\(924\) | −0.153473 | − | 0.0292546i | −0.00504890 | − | 0.000962407i | ||||
\(925\) | 9.54344 | − | 40.2670i | 0.313786 | − | 1.32397i | ||||
\(926\) | −25.4445 | − | 18.9960i | −0.836158 | − | 0.624248i | ||||
\(927\) | 21.8610 | − | 15.5307i | 0.718010 | − | 0.510095i | ||||
\(928\) | −21.5666 | − | 14.3935i | −0.707958 | − | 0.472491i | ||||
\(929\) | −12.6309 | − | 0.735666i | −0.414407 | − | 0.0241364i | −0.150325 | − | 0.988637i | \(-0.548032\pi\) |
−0.264082 | + | 0.964500i | \(0.585069\pi\) | |||||||
\(930\) | −0.682132 | − | 0.741335i | −0.0223680 | − | 0.0243093i | ||||
\(931\) | −26.2882 | + | 35.3112i | −0.861561 | + | 1.15728i | ||||
\(932\) | 0.0650996 | − | 24.1721i | 0.00213241 | − | 0.791784i | ||||
\(933\) | 7.03337 | − | 1.15960i | 0.230262 | − | 0.0379637i | ||||
\(934\) | 25.2828 | + | 14.6424i | 0.827278 | + | 0.479115i | ||||
\(935\) | −0.398116 | − | 2.25783i | −0.0130198 | − | 0.0738389i | ||||
\(936\) | −8.91253 | − | 18.9748i | −0.291315 | − | 0.620210i | ||||
\(937\) | −4.81124 | + | 27.2859i | −0.157176 | + | 0.891392i | 0.799593 | + | 0.600543i | \(0.205049\pi\) |
−0.956769 | + | 0.290849i | \(0.906062\pi\) | |||||||
\(938\) | 0.0714916 | − | 0.0849677i | 0.00233428 | − | 0.00277429i | ||||
\(939\) | 12.7497 | + | 56.5954i | 0.416071 | + | 1.84692i | ||||
\(940\) | 1.60180 | − | 1.33674i | 0.0522450 | − | 0.0435995i | ||||
\(941\) | 7.07205 | − | 1.67611i | 0.230542 | − | 0.0546395i | −0.113721 | − | 0.993513i | \(-0.536277\pi\) |
0.344263 | + | 0.938873i | \(0.388129\pi\) | |||||||
\(942\) | −23.7351 | − | 42.3213i | −0.773331 | − | 1.37890i | ||||
\(943\) | 1.18205 | + | 10.1130i | 0.0384927 | + | 0.329326i | ||||
\(944\) | −7.04745 | − | 30.4659i | −0.229375 | − | 0.991580i | ||||
\(945\) | −0.0181055 | + | 0.0141897i | −0.000588973 | + | 0.000461592i | ||||
\(946\) | −2.29293 | − | 3.49647i | −0.0745495 | − | 0.113680i | ||||
\(947\) | −5.58260 | − | 2.40810i | −0.181410 | − | 0.0782526i | 0.303437 | − | 0.952851i | \(-0.401866\pi\) |
−0.484848 | + | 0.874599i | \(0.661125\pi\) | |||||||
\(948\) | −23.0598 | − | 25.1290i | −0.748947 | − | 0.816152i | ||||
\(949\) | 24.1683 | − | 22.8016i | 0.784535 | − | 0.740171i | ||||
\(950\) | 26.0000 | + | 35.0224i | 0.843550 | + | 1.13628i | ||||
\(951\) | −8.63848 | − | 13.4581i | −0.280122 | − | 0.436409i | ||||
\(952\) | −0.0851050 | + | 0.0423117i | −0.00275827 | + | 0.00137133i | ||||
\(953\) | 31.7309 | − | 37.8154i | 1.02786 | − | 1.22496i | 0.0538326 | − | 0.998550i | \(-0.482856\pi\) |
0.974032 | − | 0.226411i | \(-0.0726993\pi\) | |||||||
\(954\) | 56.0355 | − | 11.8909i | 1.81422 | − | 0.384982i | ||||
\(955\) | −2.90573 | + | 2.43820i | −0.0940273 | + | 0.0788983i | ||||
\(956\) | −2.43105 | − | 43.7700i | −0.0786257 | − | 1.41562i | ||||
\(957\) | −23.6171 | + | 8.29938i | −0.763431 | + | 0.268281i | ||||
\(958\) | 10.4578 | + | 6.89837i | 0.337875 | + | 0.222876i | ||||
\(959\) | −0.0787594 | − | 0.182585i | −0.00254327 | − | 0.00589597i | ||||
\(960\) | 4.20836 | + | 0.825701i | 0.135824 | + | 0.0266494i | ||||
\(961\) | 26.1247 | − | 13.1203i | 0.842731 | − | 0.423235i | ||||
\(962\) | 20.2032 | + | 21.4720i | 0.651376 | + | 0.692283i | ||||
\(963\) | 19.4864 | + | 31.1149i | 0.627940 | + | 1.00266i | ||||
\(964\) | −31.0380 | − | 20.5340i | −0.999668 | − | 0.661356i | ||||
\(965\) | −0.231064 | + | 0.244914i | −0.00743822 | + | 0.00788405i | ||||
\(966\) | 0.0154472 | − | 0.218263i | 0.000497005 | − | 0.00702249i | ||||
\(967\) | 1.97530 | + | 3.00329i | 0.0635213 | + | 0.0965794i | 0.865852 | − | 0.500301i | \(-0.166777\pi\) |
−0.802330 | + | 0.596880i | \(0.796407\pi\) | |||||||
\(968\) | −2.96960 | − | 0.359263i | −0.0954466 | − | 0.0115471i | ||||
\(969\) | −24.8332 | − | 6.17832i | −0.797758 | − | 0.198476i | ||||
\(970\) | −0.494212 | − | 2.82505i | −0.0158682 | − | 0.0907070i | ||||
\(971\) | − | 59.3001i | − | 1.90303i | −0.307603 | − | 0.951515i | \(-0.599527\pi\) | ||
0.307603 | − | 0.951515i | \(-0.400473\pi\) | |||||||
\(972\) | 23.8864 | − | 20.0360i | 0.766155 | − | 0.642656i | ||||
\(973\) | − | 0.140585i | − | 0.00450696i | ||||||
\(974\) | −59.3797 | + | 10.3878i | −1.90265 | + | 0.332847i | ||||
\(975\) | 20.3652 | + | 5.06671i | 0.652209 | + | 0.162265i | ||||
\(976\) | −18.7081 | + | 28.1133i | −0.598833 | + | 0.899886i | ||||
\(977\) | 22.7312 | + | 34.5611i | 0.727235 | + | 1.10571i | 0.990030 | + | 0.140855i | \(0.0449852\pi\) |
−0.262796 | + | 0.964852i | \(0.584644\pi\) | |||||||
\(978\) | 16.6565 | + | 1.17884i | 0.532616 | + | 0.0376950i | ||||
\(979\) | −1.47581 | + | 1.56427i | −0.0471670 | + | 0.0499941i | ||||
\(980\) | −3.61367 | − | 2.39072i | −0.115435 | − | 0.0763687i | ||||
\(981\) | 44.0184 | − | 1.58160i | 1.40540 | − | 0.0504966i | ||||
\(982\) | −36.3442 | + | 34.1966i | −1.15979 | + | 1.09126i | ||||
\(983\) | 8.27931 | − | 4.15803i | 0.264069 | − | 0.132620i | −0.311839 | − | 0.950135i | \(-0.600945\pi\) |
0.575908 | + | 0.817515i | \(0.304649\pi\) | |||||||
\(984\) | 7.46316 | + | 2.84531i | 0.237917 | + | 0.0907052i | ||||
\(985\) | 1.60504 | + | 3.72090i | 0.0511408 | + | 0.118558i | ||||
\(986\) | −8.38513 | + | 12.7117i | −0.267037 | + | 0.404821i | ||||
\(987\) | −0.0787776 | + | 0.0276836i | −0.00250752 | + | 0.000881179i | ||||
\(988\) | −31.0276 | + | 1.72332i | −0.987118 | + | 0.0548260i | ||||
\(989\) | 4.48581 | − | 3.76404i | 0.142640 | − | 0.119690i | ||||
\(990\) | 3.07789 | − | 2.76946i | 0.0978218 | − | 0.0880192i | ||||
\(991\) | 21.0193 | − | 25.0498i | 0.667700 | − | 0.795734i | −0.320769 | − | 0.947157i | \(-0.603941\pi\) |
0.988469 | + | 0.151424i | \(0.0483857\pi\) | |||||||
\(992\) | 3.41876 | − | 6.69454i | 0.108546 | − | 0.212552i | ||||
\(993\) | 3.00082 | + | 4.67506i | 0.0952283 | + | 0.148359i | ||||
\(994\) | 0.113513 | − | 0.0842699i | 0.00360041 | − | 0.00267288i | ||||
\(995\) | −3.13317 | + | 2.95600i | −0.0993282 | + | 0.0937114i | ||||
\(996\) | 5.67822 | + | 6.18774i | 0.179921 | + | 0.196066i | ||||
\(997\) | −16.6820 | − | 7.19591i | −0.528324 | − | 0.227897i | 0.115173 | − | 0.993345i | \(-0.463258\pi\) |
−0.643497 | + | 0.765449i | \(0.722517\pi\) | |||||||
\(998\) | 13.0837 | − | 8.58006i | 0.414157 | − | 0.271597i | ||||
\(999\) | −23.1785 | + | 37.2185i | −0.733336 | + | 1.17754i |
(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 | 648.2.bb.b.155.59 | yes | 1872 | |
8.3 | odd | 2 | inner | 648.2.bb.b.155.16 | ✓ | 1872 | |
81.23 | odd | 54 | inner | 648.2.bb.b.347.16 | yes | 1872 | |
648.347 | even | 54 | inner | 648.2.bb.b.347.59 | yes | 1872 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
648.2.bb.b.155.16 | ✓ | 1872 | 8.3 | odd | 2 | inner | |
648.2.bb.b.155.59 | yes | 1872 | 1.1 | even | 1 | trivial | |
648.2.bb.b.347.16 | yes | 1872 | 81.23 | odd | 54 | inner | |
648.2.bb.b.347.59 | yes | 1872 | 648.347 | even | 54 | inner |