Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [187,2,Mod(4,187)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(187, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([4, 15]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("187.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 187 = 11 \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 187.p (of order \(20\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.49320251780\) |
Analytic rank: | \(0\) |
Dimension: | \(128\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 38.1 | ||
Character | \(\chi\) | \(=\) | 187.38 |
Dual form | 187.2.p.a.64.1 |
$q$-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 \(\left(\mathbb{Z}/187\mathbb{Z}\right)^\times\).
\(n\) | \(35\) | \(122\) |
\(\chi(n)\) | \(e\left(\frac{2}{5}\right)\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.30228 | + | 0.748055i | −1.62796 | + | 0.528955i | −0.973800 | − | 0.227405i | \(-0.926976\pi\) |
−0.654156 | + | 0.756360i | \(0.726976\pi\) | |||||||
\(3\) | 1.85991 | − | 0.294580i | 1.07382 | − | 0.170076i | 0.405606 | − | 0.914048i | \(-0.367060\pi\) |
0.668211 | + | 0.743972i | \(0.267060\pi\) | |||||||
\(4\) | 3.12286 | − | 2.26889i | 1.56143 | − | 1.13445i | ||||
\(5\) | 1.21515 | + | 2.38487i | 0.543432 | + | 1.06654i | 0.985518 | + | 0.169572i | \(0.0542386\pi\) |
−0.442086 | + | 0.896973i | \(0.645761\pi\) | |||||||
\(6\) | −4.06166 | + | 2.06952i | −1.65816 | + | 0.844877i | ||||
\(7\) | 0.345011 | + | 0.0546444i | 0.130402 | + | 0.0206536i | 0.221294 | − | 0.975207i | \(-0.428972\pi\) |
−0.0908923 | + | 0.995861i | \(0.528972\pi\) | |||||||
\(8\) | −2.64667 | + | 3.64282i | −0.935738 | + | 1.28793i | ||||
\(9\) | 0.519302 | − | 0.168732i | 0.173101 | − | 0.0562439i | ||||
\(10\) | −4.58163 | − | 4.58163i | −1.44884 | − | 1.44884i | ||||
\(11\) | 3.29872 | − | 0.344184i | 0.994601 | − | 0.103775i | ||||
\(12\) | 5.13986 | − | 5.13986i | 1.48375 | − | 1.48375i | ||||
\(13\) | −1.26183 | − | 3.88353i | −0.349970 | − | 1.07710i | −0.958869 | − | 0.283849i | \(-0.908389\pi\) |
0.608899 | − | 0.793248i | \(-0.291611\pi\) | |||||||
\(14\) | −0.835189 | + | 0.132281i | −0.223214 | + | 0.0353535i | ||||
\(15\) | 2.96260 | + | 4.07767i | 0.764940 | + | 1.05285i | ||||
\(16\) | 0.982673 | − | 3.02436i | 0.245668 | − | 0.756089i | ||||
\(17\) | 0.915773 | + | 4.02012i | 0.222108 | + | 0.975022i | ||||
\(18\) | −1.06936 | + | 0.776934i | −0.252050 | + | 0.183125i | ||||
\(19\) | −0.944299 | + | 1.29972i | −0.216637 | + | 0.298175i | −0.903480 | − | 0.428631i | \(-0.858996\pi\) |
0.686843 | + | 0.726806i | \(0.258996\pi\) | |||||||
\(20\) | 9.20575 | + | 4.69056i | 2.05847 | + | 1.04884i | ||||
\(21\) | 0.657785 | 0.143541 | ||||||||
\(22\) | −7.33710 | + | 3.26003i | −1.56427 | + | 0.695041i | ||||
\(23\) | 0.895855 | + | 0.895855i | 0.186799 | + | 0.186799i | 0.794311 | − | 0.607512i | \(-0.207832\pi\) |
−0.607512 | + | 0.794311i | \(0.707832\pi\) | |||||||
\(24\) | −3.84945 | + | 7.55496i | −0.785765 | + | 1.54215i | ||||
\(25\) | −1.27207 | + | 1.75086i | −0.254415 | + | 0.350172i | ||||
\(26\) | 5.81019 | + | 7.99704i | 1.13947 | + | 1.56835i | ||||
\(27\) | −4.11739 | + | 2.09791i | −0.792392 | + | 0.403744i | ||||
\(28\) | 1.20140 | − | 0.612146i | 0.227044 | − | 0.115685i | ||||
\(29\) | −0.540052 | + | 3.40976i | −0.100285 | + | 0.633176i | 0.885432 | + | 0.464768i | \(0.153862\pi\) |
−0.985717 | + | 0.168407i | \(0.946138\pi\) | |||||||
\(30\) | −9.87105 | − | 7.17174i | −1.80220 | − | 1.30937i | ||||
\(31\) | 6.19275 | + | 3.15536i | 1.11225 | + | 0.566720i | 0.910829 | − | 0.412785i | \(-0.135444\pi\) |
0.201422 | + | 0.979505i | \(0.435444\pi\) | |||||||
\(32\) | − | 1.30755i | − | 0.231145i | ||||||
\(33\) | 6.03391 | − | 1.61189i | 1.05037 | − | 0.280593i | ||||
\(34\) | −5.11564 | − | 8.57038i | −0.877324 | − | 1.46981i | ||||
\(35\) | 0.288921 | + | 0.889207i | 0.0488365 | + | 0.150303i | ||||
\(36\) | 1.23888 | − | 1.70517i | 0.206479 | − | 0.284194i | ||||
\(37\) | 1.86952 | − | 11.8037i | 0.307347 | − | 1.94051i | −0.0310701 | − | 0.999517i | \(-0.509892\pi\) |
0.338417 | − | 0.940996i | \(-0.390108\pi\) | |||||||
\(38\) | 1.20178 | − | 3.69869i | 0.194954 | − | 0.600007i | ||||
\(39\) | −3.49090 | − | 6.85128i | −0.558992 | − | 1.09708i | ||||
\(40\) | −11.9037 | − | 1.88537i | −1.88215 | − | 0.298103i | ||||
\(41\) | −0.288382 | − | 1.82078i | −0.0450378 | − | 0.284357i | 0.954883 | − | 0.296984i | \(-0.0959808\pi\) |
−0.999920 | + | 0.0126265i | \(0.995981\pi\) | |||||||
\(42\) | −1.51440 | + | 0.492060i | −0.233678 | + | 0.0759265i | ||||
\(43\) | 3.79501i | 0.578734i | 0.957218 | + | 0.289367i | \(0.0934448\pi\) | ||||
−0.957218 | + | 0.289367i | \(0.906555\pi\) | |||||||
\(44\) | 9.52052 | − | 8.55927i | 1.43527 | − | 1.29036i | ||||
\(45\) | 1.03343 | + | 1.03343i | 0.154055 | + | 0.154055i | ||||
\(46\) | −2.73266 | − | 1.39236i | −0.402908 | − | 0.205292i | ||||
\(47\) | −7.76702 | − | 5.64307i | −1.13294 | − | 0.823126i | −0.146817 | − | 0.989164i | \(-0.546903\pi\) |
−0.986119 | + | 0.166037i | \(0.946903\pi\) | |||||||
\(48\) | 0.936764 | − | 5.91450i | 0.135210 | − | 0.853684i | ||||
\(49\) | −6.54135 | − | 2.12541i | −0.934478 | − | 0.303630i | ||||
\(50\) | 1.61893 | − | 4.98254i | 0.228951 | − | 0.704638i | ||||
\(51\) | 2.88750 | + | 7.20727i | 0.404331 | + | 1.00922i | ||||
\(52\) | −12.7518 | − | 9.26475i | −1.76836 | − | 1.28479i | ||||
\(53\) | −1.41331 | + | 0.459213i | −0.194133 | + | 0.0630777i | −0.404470 | − | 0.914551i | \(-0.632544\pi\) |
0.210337 | + | 0.977629i | \(0.432544\pi\) | |||||||
\(54\) | 7.91001 | − | 7.91001i | 1.07642 | − | 1.07642i | ||||
\(55\) | 4.82927 | + | 7.44877i | 0.651179 | + | 1.00439i | ||||
\(56\) | −1.11219 | + | 1.11219i | −0.148623 | + | 0.148623i | ||||
\(57\) | −1.37344 | + | 2.69552i | −0.181916 | + | 0.357030i | ||||
\(58\) | −1.30734 | − | 8.25419i | −0.171662 | − | 1.08383i | ||||
\(59\) | −7.24584 | − | 9.97304i | −0.943328 | − | 1.29838i | −0.954428 | − | 0.298441i | \(-0.903534\pi\) |
0.0111006 | − | 0.999938i | \(-0.496466\pi\) | |||||||
\(60\) | 18.5036 | + | 6.01218i | 2.38880 | + | 0.776169i | ||||
\(61\) | 4.92519 | − | 2.50951i | 0.630606 | − | 0.321310i | −0.109311 | − | 0.994008i | \(-0.534865\pi\) |
0.739917 | + | 0.672698i | \(0.234865\pi\) | |||||||
\(62\) | −16.6178 | − | 2.63200i | −2.11046 | − | 0.334265i | ||||
\(63\) | 0.188385 | − | 0.0298373i | 0.0237343 | − | 0.00375915i | ||||
\(64\) | 2.94347 | + | 9.05906i | 0.367933 | + | 1.13238i | ||||
\(65\) | 7.72838 | − | 7.72838i | 0.958587 | − | 0.958587i | ||||
\(66\) | −12.6860 | + | 8.22471i | −1.56153 | + | 1.01239i | ||||
\(67\) | −7.27578 | −0.888878 | −0.444439 | − | 0.895809i | \(-0.646597\pi\) | ||||
−0.444439 | + | 0.895809i | \(0.646597\pi\) | |||||||
\(68\) | 11.9810 | + | 10.4765i | 1.45292 | + | 1.27046i | ||||
\(69\) | 1.93011 | + | 1.40231i | 0.232358 | + | 0.168818i | ||||
\(70\) | −1.33035 | − | 1.83107i | −0.159007 | − | 0.218855i | ||||
\(71\) | 4.52616 | + | 8.88308i | 0.537156 | + | 1.05423i | 0.986940 | + | 0.161090i | \(0.0515011\pi\) |
−0.449784 | + | 0.893138i | \(0.648499\pi\) | |||||||
\(72\) | −0.759761 | + | 2.33830i | −0.0895387 | + | 0.275572i | ||||
\(73\) | 0.687332 | − | 4.33964i | 0.0804461 | − | 0.507917i | −0.914258 | − | 0.405133i | \(-0.867225\pi\) |
0.994704 | − | 0.102783i | \(-0.0327749\pi\) | |||||||
\(74\) | 4.52565 | + | 28.5739i | 0.526097 | + | 3.32164i | ||||
\(75\) | −1.85017 | + | 3.63116i | −0.213639 | + | 0.419290i | ||||
\(76\) | 6.20134i | 0.711343i | ||||||||
\(77\) | 1.15690 | + | 0.0615092i | 0.131841 | + | 0.00700962i | ||||
\(78\) | 13.1622 | + | 13.1622i | 1.49032 | + | 1.49032i | ||||
\(79\) | 5.26610 | − | 10.3353i | 0.592483 | − | 1.16281i | −0.378932 | − | 0.925424i | \(-0.623709\pi\) |
0.971415 | − | 0.237388i | \(-0.0762914\pi\) | |||||||
\(80\) | 8.40678 | − | 1.33150i | 0.939907 | − | 0.148867i | ||||
\(81\) | −8.36518 | + | 6.07766i | −0.929465 | + | 0.675296i | ||||
\(82\) | 2.02598 | + | 3.97620i | 0.223732 | + | 0.439098i | ||||
\(83\) | −12.1731 | − | 3.95528i | −1.33617 | − | 0.434148i | −0.448153 | − | 0.893957i | \(-0.647918\pi\) |
−0.888018 | + | 0.459808i | \(0.847918\pi\) | |||||||
\(84\) | 2.05417 | − | 1.49244i | 0.224129 | − | 0.162839i | ||||
\(85\) | −8.47465 | + | 7.06905i | −0.919205 | + | 0.766746i | ||||
\(86\) | −2.83888 | − | 8.73718i | −0.306124 | − | 0.942154i | ||||
\(87\) | 6.50091i | 0.696971i | ||||||||
\(88\) | −7.47680 | + | 12.9276i | −0.797030 | + | 1.37809i | ||||
\(89\) | 0.411806 | 0.0436514 | 0.0218257 | − | 0.999762i | \(-0.493052\pi\) | ||||
0.0218257 | + | 0.999762i | \(0.493052\pi\) | |||||||
\(90\) | −3.15231 | − | 1.60618i | −0.332283 | − | 0.169307i | ||||
\(91\) | −0.223134 | − | 1.40881i | −0.0233908 | − | 0.147684i | ||||
\(92\) | 4.83023 | + | 0.765033i | 0.503586 | + | 0.0797603i | ||||
\(93\) | 12.4474 | + | 4.04442i | 1.29074 | + | 0.419387i | ||||
\(94\) | 22.1032 | + | 7.18175i | 2.27977 | + | 0.740741i | ||||
\(95\) | −4.24711 | − | 0.672677i | −0.435745 | − | 0.0690152i | ||||
\(96\) | −0.385179 | − | 2.43192i | −0.0393122 | − | 0.248207i | ||||
\(97\) | −14.0408 | − | 7.15416i | −1.42563 | − | 0.726395i | −0.440427 | − | 0.897788i | \(-0.645173\pi\) |
−0.985203 | + | 0.171393i | \(0.945173\pi\) | |||||||
\(98\) | 16.6499 | 1.68190 | ||||||||
\(99\) | 1.65496 | − | 0.735333i | 0.166329 | − | 0.0739038i | ||||
\(100\) | 8.35388i | 0.835388i | ||||||||
\(101\) | −2.73230 | − | 8.40917i | −0.271874 | − | 0.836743i | −0.990029 | − | 0.140860i | \(-0.955013\pi\) |
0.718155 | − | 0.695883i | \(-0.244987\pi\) | |||||||
\(102\) | −12.0393 | − | 14.4331i | −1.19206 | − | 1.42909i | ||||
\(103\) | 5.35825 | − | 3.89300i | 0.527964 | − | 0.383588i | −0.291632 | − | 0.956531i | \(-0.594198\pi\) |
0.819596 | + | 0.572942i | \(0.194198\pi\) | |||||||
\(104\) | 17.4867 | + | 5.68176i | 1.71471 | + | 0.557143i | ||||
\(105\) | 0.799308 | + | 1.56873i | 0.0780045 | + | 0.153092i | ||||
\(106\) | 2.91032 | − | 2.11447i | 0.282675 | − | 0.205375i | ||||
\(107\) | −1.08133 | + | 0.171265i | −0.104536 | + | 0.0165568i | −0.208483 | − | 0.978026i | \(-0.566853\pi\) |
0.103947 | + | 0.994583i | \(0.466853\pi\) | |||||||
\(108\) | −8.09809 | + | 15.8934i | −0.779239 | + | 1.52934i | ||||
\(109\) | 12.7693 | + | 12.7693i | 1.22308 | + | 1.22308i | 0.966531 | + | 0.256548i | \(0.0825852\pi\) |
0.256548 | + | 0.966531i | \(0.417415\pi\) | |||||||
\(110\) | −16.6904 | − | 13.5366i | −1.59137 | − | 1.29066i | ||||
\(111\) | − | 22.5045i | − | 2.13603i | ||||||
\(112\) | 0.504297 | − | 0.989739i | 0.0476516 | − | 0.0935216i | ||||
\(113\) | −0.318486 | − | 2.01084i | −0.0299606 | − | 0.189164i | 0.968169 | − | 0.250298i | \(-0.0805285\pi\) |
−0.998130 | + | 0.0611335i | \(0.980528\pi\) | |||||||
\(114\) | 1.14563 | − | 7.23324i | 0.107298 | − | 0.677455i | ||||
\(115\) | −1.04790 | + | 3.22509i | −0.0977169 | + | 0.300742i | ||||
\(116\) | 6.04986 | + | 11.8735i | 0.561715 | + | 1.10243i | ||||
\(117\) | −1.31055 | − | 1.80381i | −0.121160 | − | 0.166763i | ||||
\(118\) | 24.1423 | + | 17.5404i | 2.22248 | + | 1.61473i | ||||
\(119\) | 0.0962749 | + | 1.43703i | 0.00882550 | + | 0.131732i | ||||
\(120\) | −22.6952 | −2.07178 | ||||||||
\(121\) | 10.7631 | − | 2.27073i | 0.978461 | − | 0.206430i | ||||
\(122\) | −9.46191 | + | 9.46191i | −0.856641 | + | 0.856641i | ||||
\(123\) | −1.07273 | − | 3.30152i | −0.0967247 | − | 0.297688i | ||||
\(124\) | 26.4983 | − | 4.19692i | 2.37962 | − | 0.376894i | ||||
\(125\) | 7.49690 | + | 1.18739i | 0.670543 | + | 0.106204i | ||||
\(126\) | −0.411395 | + | 0.209616i | −0.0366500 | + | 0.0186741i | ||||
\(127\) | −11.5650 | − | 3.75770i | −1.02623 | − | 0.333442i | −0.252930 | − | 0.967485i | \(-0.581394\pi\) |
−0.773298 | + | 0.634043i | \(0.781394\pi\) | |||||||
\(128\) | −12.0162 | − | 16.5389i | −1.06210 | − | 1.46185i | ||||
\(129\) | 1.11794 | + | 7.05837i | 0.0984288 | + | 0.621455i | ||||
\(130\) | −12.0116 | + | 23.5741i | −1.05349 | + | 2.06759i | ||||
\(131\) | 0.0239106 | − | 0.0239106i | 0.00208908 | − | 0.00208908i | −0.706061 | − | 0.708151i | \(-0.749530\pi\) |
0.708151 | + | 0.706061i | \(0.249530\pi\) | |||||||
\(132\) | 15.1859 | − | 18.7240i | 1.32176 | − | 1.62971i | ||||
\(133\) | −0.396816 | + | 0.396816i | −0.0344083 | + | 0.0344083i | ||||
\(134\) | 16.7509 | − | 5.44269i | 1.44705 | − | 0.470177i | ||||
\(135\) | −10.0065 | − | 7.27014i | −0.861221 | − | 0.625714i | ||||
\(136\) | −17.0683 | − | 7.30392i | −1.46360 | − | 0.626306i | ||||
\(137\) | −2.62205 | + | 8.06985i | −0.224017 | + | 0.689454i | 0.774373 | + | 0.632730i | \(0.218066\pi\) |
−0.998390 | + | 0.0567242i | \(0.981934\pi\) | |||||||
\(138\) | −5.49265 | − | 1.78467i | −0.467565 | − | 0.151921i | ||||
\(139\) | −2.83653 | + | 17.9091i | −0.240591 | + | 1.51903i | 0.511102 | + | 0.859520i | \(0.329237\pi\) |
−0.751693 | + | 0.659513i | \(0.770763\pi\) | |||||||
\(140\) | 2.91977 | + | 2.12134i | 0.246766 | + | 0.179286i | ||||
\(141\) | −16.1083 | − | 8.20757i | −1.35656 | − | 0.691202i | ||||
\(142\) | −17.0655 | − | 17.0655i | −1.43211 | − | 1.43211i | ||||
\(143\) | −5.49908 | − | 12.3764i | −0.459856 | − | 1.03496i | ||||
\(144\) | − | 1.73636i | − | 0.144697i | ||||||
\(145\) | −8.78806 | + | 2.85541i | −0.729809 | + | 0.237129i | ||||
\(146\) | 1.66386 | + | 10.5052i | 0.137702 | + | 0.869418i | ||||
\(147\) | −12.7924 | − | 2.02612i | −1.05510 | − | 0.167111i | ||||
\(148\) | −20.9430 | − | 41.1030i | −1.72151 | − | 3.37865i | ||||
\(149\) | 1.04563 | − | 3.21812i | 0.0856614 | − | 0.263639i | −0.899046 | − | 0.437854i | \(-0.855739\pi\) |
0.984708 | + | 0.174215i | \(0.0557388\pi\) | |||||||
\(150\) | 1.54329 | − | 9.74396i | 0.126009 | − | 0.795591i | ||||
\(151\) | 7.51279 | − | 10.3405i | 0.611382 | − | 0.841495i | −0.385308 | − | 0.922788i | \(-0.625905\pi\) |
0.996690 | + | 0.0812927i | \(0.0259049\pi\) | |||||||
\(152\) | −2.23539 | − | 6.87983i | −0.181314 | − | 0.558028i | ||||
\(153\) | 1.15388 | + | 1.93314i | 0.0932860 | + | 0.156285i | ||||
\(154\) | −2.70952 | + | 0.723816i | −0.218340 | + | 0.0583267i | ||||
\(155\) | 18.6031i | 1.49424i | ||||||||
\(156\) | −26.4464 | − | 13.4751i | −2.11741 | − | 1.07887i | ||||
\(157\) | 15.4977 | + | 11.2598i | 1.23685 | + | 0.898628i | 0.997385 | − | 0.0722761i | \(-0.0230263\pi\) |
0.239470 | + | 0.970904i | \(0.423026\pi\) | |||||||
\(158\) | −4.39265 | + | 27.7341i | −0.349460 | + | 2.20640i | ||||
\(159\) | −2.49335 | + | 1.27043i | −0.197736 | + | 0.100751i | ||||
\(160\) | 3.11834 | − | 1.58887i | 0.246526 | − | 0.125611i | ||||
\(161\) | 0.260127 | + | 0.358034i | 0.0205008 | + | 0.0282170i | ||||
\(162\) | 14.7125 | − | 20.2501i | 1.15593 | − | 1.59100i | ||||
\(163\) | −0.712156 | + | 1.39769i | −0.0557804 | + | 0.109475i | −0.917214 | − | 0.398395i | \(-0.869567\pi\) |
0.861433 | + | 0.507871i | \(0.169567\pi\) | |||||||
\(164\) | −5.03172 | − | 5.03172i | −0.392911 | − | 0.392911i | ||||
\(165\) | 11.1762 | + | 12.4314i | 0.870070 | + | 0.967783i | ||||
\(166\) | 30.9846 | 2.40487 | ||||||||
\(167\) | 13.4220 | + | 6.83884i | 1.03862 | + | 0.529205i | 0.888219 | − | 0.459420i | \(-0.151943\pi\) |
0.150404 | + | 0.988625i | \(0.451943\pi\) | |||||||
\(168\) | −1.74094 | + | 2.39620i | −0.134316 | + | 0.184871i | ||||
\(169\) | −2.97234 | + | 2.15953i | −0.228641 | + | 0.166118i | ||||
\(170\) | 14.2230 | − | 22.6144i | 1.09085 | − | 1.73445i | ||||
\(171\) | −0.271073 | + | 0.834278i | −0.0207295 | + | 0.0637989i | ||||
\(172\) | 8.61048 | + | 11.8513i | 0.656543 | + | 0.903654i | ||||
\(173\) | −7.79857 | + | 1.23517i | −0.592914 | + | 0.0939084i | −0.445679 | − | 0.895193i | \(-0.647038\pi\) |
−0.147236 | + | 0.989101i | \(0.547038\pi\) | |||||||
\(174\) | −4.86304 | − | 14.9669i | −0.368666 | − | 1.13464i | ||||
\(175\) | −0.534554 | + | 0.534554i | −0.0404085 | + | 0.0404085i | ||||
\(176\) | 2.20063 | − | 10.3147i | 0.165878 | − | 0.777501i | ||||
\(177\) | −16.4144 | − | 16.4144i | −1.23378 | − | 1.23378i | ||||
\(178\) | −0.948092 | + | 0.308054i | −0.0710625 | + | 0.0230896i | ||||
\(179\) | −2.25007 | + | 3.09696i | −0.168178 | + | 0.231477i | −0.884784 | − | 0.466000i | \(-0.845694\pi\) |
0.716606 | + | 0.697478i | \(0.245694\pi\) | |||||||
\(180\) | 5.57201 | + | 0.882520i | 0.415313 | + | 0.0657792i | ||||
\(181\) | 16.5981 | − | 8.45717i | 1.23373 | − | 0.628617i | 0.289271 | − | 0.957247i | \(-0.406587\pi\) |
0.944459 | + | 0.328631i | \(0.106587\pi\) | |||||||
\(182\) | 1.56759 | + | 3.07656i | 0.116197 | + | 0.228050i | ||||
\(183\) | 8.42114 | − | 6.11832i | 0.622509 | − | 0.452279i | ||||
\(184\) | −5.63447 | + | 0.892413i | −0.415379 | + | 0.0657896i | ||||
\(185\) | 30.4220 | − | 9.88469i | 2.23667 | − | 0.726737i | ||||
\(186\) | −31.6829 | −2.32310 | ||||||||
\(187\) | 4.40454 | + | 12.9460i | 0.322092 | + | 0.946709i | ||||
\(188\) | −37.0588 | −2.70279 | ||||||||
\(189\) | −1.53518 | + | 0.498811i | −0.111668 | + | 0.0362832i | ||||
\(190\) | 10.2812 | − | 1.62839i | 0.745879 | − | 0.118136i | ||||
\(191\) | −18.4098 | + | 13.3755i | −1.33209 | + | 0.967818i | −0.332392 | + | 0.943141i | \(0.607856\pi\) |
−0.999695 | + | 0.0246768i | \(0.992144\pi\) | |||||||
\(192\) | 8.14319 | + | 15.9819i | 0.587684 | + | 1.15340i | ||||
\(193\) | 1.89245 | − | 0.964249i | 0.136221 | − | 0.0694082i | −0.384552 | − | 0.923104i | \(-0.625644\pi\) |
0.520773 | + | 0.853695i | \(0.325644\pi\) | |||||||
\(194\) | 37.6776 | + | 5.96754i | 2.70509 | + | 0.428445i | ||||
\(195\) | 12.0974 | − | 16.6507i | 0.866315 | − | 1.19238i | ||||
\(196\) | −25.2501 | + | 8.20424i | −1.80358 | + | 0.586017i | ||||
\(197\) | −0.264021 | − | 0.264021i | −0.0188107 | − | 0.0188107i | 0.697639 | − | 0.716450i | \(-0.254234\pi\) |
−0.716450 | + | 0.697639i | \(0.754234\pi\) | |||||||
\(198\) | −3.26010 | + | 2.93094i | −0.231685 | + | 0.208293i | ||||
\(199\) | −13.3186 | + | 13.3186i | −0.944130 | + | 0.944130i | −0.998520 | − | 0.0543901i | \(-0.982679\pi\) |
0.0543901 | + | 0.998520i | \(0.482679\pi\) | |||||||
\(200\) | −3.01131 | − | 9.26787i | −0.212932 | − | 0.655338i | ||||
\(201\) | −13.5323 | + | 2.14330i | −0.954493 | + | 0.151177i | ||||
\(202\) | 12.5810 | + | 17.3163i | 0.885199 | + | 1.21837i | ||||
\(203\) | −0.372648 | + | 1.14689i | −0.0261548 | + | 0.0804961i | ||||
\(204\) | 25.3698 | + | 15.9559i | 1.77624 | + | 1.11714i | ||||
\(205\) | 3.99188 | − | 2.90027i | 0.278805 | − | 0.202564i | ||||
\(206\) | −9.42400 | + | 12.9710i | −0.656601 | + | 0.903734i | ||||
\(207\) | 0.616379 | + | 0.314061i | 0.0428413 | + | 0.0218287i | ||||
\(208\) | −12.9851 | −0.900358 | ||||||||
\(209\) | −2.66763 | + | 4.61241i | −0.184524 | + | 0.319047i | ||||
\(210\) | −3.01373 | − | 3.01373i | −0.207967 | − | 0.207967i | ||||
\(211\) | −11.5750 | + | 22.7173i | −0.796859 | + | 1.56392i | 0.0286863 | + | 0.999588i | \(0.490868\pi\) |
−0.825545 | + | 0.564336i | \(0.809132\pi\) | |||||||
\(212\) | −3.37167 | + | 4.64071i | −0.231567 | + | 0.318725i | ||||
\(213\) | 11.0350 | + | 15.1884i | 0.756106 | + | 1.04069i | ||||
\(214\) | 2.36140 | − | 1.20319i | 0.161422 | − | 0.0822485i | ||||
\(215\) | −9.05060 | + | 4.61151i | −0.617246 | + | 0.314503i | ||||
\(216\) | 3.25502 | − | 20.5514i | 0.221476 | − | 1.39835i | ||||
\(217\) | 1.96414 | + | 1.42703i | 0.133335 | + | 0.0968734i | ||||
\(218\) | −38.9507 | − | 19.8464i | −2.63807 | − | 1.34417i | ||||
\(219\) | − | 8.27380i | − | 0.559092i | ||||||
\(220\) | 31.9816 | + | 12.3044i | 2.15620 | + | 0.829561i | ||||
\(221\) | 14.4567 | − | 8.62916i | 0.972462 | − | 0.580460i | ||||
\(222\) | 16.8346 | + | 51.8115i | 1.12986 | + | 3.47736i | ||||
\(223\) | −2.88450 | + | 3.97017i | −0.193160 | + | 0.265862i | −0.894601 | − | 0.446865i | \(-0.852540\pi\) |
0.701441 | + | 0.712728i | \(0.252540\pi\) | |||||||
\(224\) | 0.0714504 | − | 0.451120i | 0.00477398 | − | 0.0301417i | ||||
\(225\) | −0.365165 | + | 1.12386i | −0.0243444 | + | 0.0749242i | ||||
\(226\) | 2.23746 | + | 4.39127i | 0.148834 | + | 0.292103i | ||||
\(227\) | −7.61599 | − | 1.20625i | −0.505491 | − | 0.0800619i | −0.101520 | − | 0.994834i | \(-0.532371\pi\) |
−0.403971 | + | 0.914772i | \(0.632371\pi\) | |||||||
\(228\) | 1.82679 | + | 11.5339i | 0.120982 | + | 0.763852i | ||||
\(229\) | 18.9165 | − | 6.14634i | 1.25004 | − | 0.406161i | 0.392102 | − | 0.919922i | \(-0.371748\pi\) |
0.857934 | + | 0.513760i | \(0.171748\pi\) | |||||||
\(230\) | − | 8.20895i | − | 0.541282i | ||||||
\(231\) | 2.16985 | − | 0.226399i | 0.142766 | − | 0.0148960i | ||||
\(232\) | −10.9918 | − | 10.9918i | −0.721647 | − | 0.721647i | ||||
\(233\) | 12.8575 | + | 6.55121i | 0.842321 | + | 0.429184i | 0.821233 | − | 0.570593i | \(-0.193287\pi\) |
0.0210887 | + | 0.999778i | \(0.493287\pi\) | |||||||
\(234\) | 4.36660 | + | 3.17252i | 0.285453 | + | 0.207394i | ||||
\(235\) | 4.01987 | − | 25.3805i | 0.262228 | − | 1.65564i | ||||
\(236\) | −45.2555 | − | 14.7044i | −2.94588 | − | 0.957175i | ||||
\(237\) | 6.74988 | − | 20.7740i | 0.438452 | − | 1.34942i | ||||
\(238\) | −1.29663 | − | 3.23642i | −0.0840479 | − | 0.209786i | ||||
\(239\) | −0.964590 | − | 0.700815i | −0.0623941 | − | 0.0453320i | 0.556151 | − | 0.831081i | \(-0.312278\pi\) |
−0.618545 | + | 0.785749i | \(0.712278\pi\) | |||||||
\(240\) | 15.2436 | − | 4.95294i | 0.983970 | − | 0.319711i | ||||
\(241\) | 17.8222 | − | 17.8222i | 1.14803 | − | 1.14803i | 0.161091 | − | 0.986940i | \(-0.448499\pi\) |
0.986940 | − | 0.161091i | \(-0.0515013\pi\) | |||||||
\(242\) | −23.0810 | + | 13.2792i | −1.48370 | + | 0.853621i | ||||
\(243\) | −3.96536 | + | 3.96536i | −0.254378 | + | 0.254378i | ||||
\(244\) | 9.68688 | − | 19.0116i | 0.620139 | − | 1.21709i | ||||
\(245\) | −2.87989 | − | 18.1829i | −0.183990 | − | 1.16167i | ||||
\(246\) | 4.93944 | + | 6.79855i | 0.314927 | + | 0.433460i | ||||
\(247\) | 6.23903 | + | 2.02718i | 0.396980 | + | 0.128987i | ||||
\(248\) | −27.8846 | + | 14.2079i | −1.77067 | + | 0.902203i | ||||
\(249\) | −23.8060 | − | 3.77050i | −1.50864 | − | 0.238945i | ||||
\(250\) | −18.1482 | + | 2.87439i | −1.14779 | + | 0.181792i | ||||
\(251\) | −5.70141 | − | 17.5471i | −0.359870 | − | 1.10757i | −0.953132 | − | 0.302556i | \(-0.902160\pi\) |
0.593262 | − | 0.805010i | \(-0.297840\pi\) | |||||||
\(252\) | 0.520604 | − | 0.520604i | 0.0327950 | − | 0.0327950i | ||||
\(253\) | 3.26351 | + | 2.64683i | 0.205175 | + | 0.166405i | ||||
\(254\) | 29.4368 | 1.84703 | ||||||||
\(255\) | −13.6796 | + | 15.6442i | −0.856653 | + | 0.979679i | ||||
\(256\) | 24.6246 | + | 17.8908i | 1.53904 | + | 1.11817i | ||||
\(257\) | 13.1877 | + | 18.1512i | 0.822623 | + | 1.13224i | 0.989252 | + | 0.146224i | \(0.0467119\pi\) |
−0.166628 | + | 0.986020i | \(0.553288\pi\) | |||||||
\(258\) | −7.85385 | − | 15.4140i | −0.488959 | − | 0.959637i | ||||
\(259\) | 1.29001 | − | 3.97024i | 0.0801573 | − | 0.246699i | ||||
\(260\) | 6.59980 | − | 41.6695i | 0.409302 | − | 2.58423i | ||||
\(261\) | 0.294883 | + | 1.86182i | 0.0182528 | + | 0.115244i | ||||
\(262\) | −0.0371624 | + | 0.0729353i | −0.00229590 | + | 0.00450596i | ||||
\(263\) | 10.1248i | 0.624324i | 0.950029 | + | 0.312162i | \(0.101053\pi\) | ||||
−0.950029 | + | 0.312162i | \(0.898947\pi\) | |||||||
\(264\) | −10.0979 | + | 26.2466i | −0.621485 | + | 1.61537i | ||||
\(265\) | −2.81255 | − | 2.81255i | −0.172773 | − | 0.172773i | ||||
\(266\) | 0.616740 | − | 1.21042i | 0.0378148 | − | 0.0742156i | ||||
\(267\) | 0.765921 | − | 0.121310i | 0.0468736 | − | 0.00742405i | ||||
\(268\) | −22.7213 | + | 16.5080i | −1.38792 | + | 1.00838i | ||||
\(269\) | −2.52921 | − | 4.96386i | −0.154209 | − | 0.302652i | 0.800958 | − | 0.598721i | \(-0.204324\pi\) |
−0.955166 | + | 0.296069i | \(0.904324\pi\) | |||||||
\(270\) | 28.4762 | + | 9.25247i | 1.73301 | + | 0.563088i | ||||
\(271\) | −14.9663 | + | 10.8736i | −0.909136 | + | 0.660526i | −0.940796 | − | 0.338972i | \(-0.889921\pi\) |
0.0316599 | + | 0.999499i | \(0.489921\pi\) | |||||||
\(272\) | 13.0582 | + | 1.18084i | 0.791769 | + | 0.0715989i | ||||
\(273\) | −0.830016 | − | 2.55453i | −0.0502349 | − | 0.154607i | ||||
\(274\) | − | 20.5405i | − | 1.24090i | ||||||
\(275\) | −3.59359 | + | 6.21341i | −0.216702 | + | 0.374683i | ||||
\(276\) | 9.20914 | 0.554325 | ||||||||
\(277\) | −24.0608 | − | 12.2596i | −1.44567 | − | 0.736608i | −0.457395 | − | 0.889264i | \(-0.651218\pi\) |
−0.988279 | + | 0.152655i | \(0.951218\pi\) | |||||||
\(278\) | −6.86655 | − | 43.3537i | −0.411828 | − | 2.60018i | ||||
\(279\) | 3.74832 | + | 0.593675i | 0.224406 | + | 0.0355424i | ||||
\(280\) | −4.00390 | − | 1.30095i | −0.239279 | − | 0.0777464i | ||||
\(281\) | −15.3470 | − | 4.98656i | −0.915528 | − | 0.297473i | −0.186897 | − | 0.982380i | \(-0.559843\pi\) |
−0.728631 | + | 0.684907i | \(0.759843\pi\) | |||||||
\(282\) | 43.2254 | + | 6.84623i | 2.57404 | + | 0.407687i | ||||
\(283\) | 2.04503 | + | 12.9118i | 0.121564 | + | 0.767526i | 0.970867 | + | 0.239620i | \(0.0770228\pi\) |
−0.849303 | + | 0.527906i | \(0.822977\pi\) | |||||||
\(284\) | 34.2893 | + | 17.4713i | 2.03470 | + | 1.03673i | ||||
\(285\) | −8.09739 | −0.479648 | ||||||||
\(286\) | 21.9186 | + | 24.3802i | 1.29608 | + | 1.44163i | ||||
\(287\) | − | 0.643946i | − | 0.0380109i | ||||||
\(288\) | −0.220625 | − | 0.679015i | −0.0130005 | − | 0.0400113i | ||||
\(289\) | −15.3227 | + | 7.36303i | −0.901336 | + | 0.433120i | ||||
\(290\) | 18.0965 | − | 13.1479i | 1.06267 | − | 0.772072i | ||||
\(291\) | −28.2221 | − | 9.16991i | −1.65441 | − | 0.537550i | ||||
\(292\) | −7.69974 | − | 15.1116i | −0.450593 | − | 0.884339i | ||||
\(293\) | −4.34105 | + | 3.15396i | −0.253607 | + | 0.184256i | −0.707324 | − | 0.706890i | \(-0.750098\pi\) |
0.453717 | + | 0.891146i | \(0.350098\pi\) | |||||||
\(294\) | 30.9673 | − | 4.90474i | 1.80605 | − | 0.286050i | ||||
\(295\) | 14.9796 | − | 29.3991i | 0.872145 | − | 1.71168i | ||||
\(296\) | 38.0507 | + | 38.0507i | 2.21165 | + | 2.21165i | ||||
\(297\) | −12.8600 | + | 8.33756i | −0.746215 | + | 0.483794i | ||||
\(298\) | 8.19120i | 0.474503i | ||||||||
\(299\) | 2.34866 | − | 4.60950i | 0.135826 | − | 0.266574i | ||||
\(300\) | 2.46089 | + | 15.5374i | 0.142079 | + | 0.897054i | ||||
\(301\) | −0.207376 | + | 1.30932i | −0.0119530 | + | 0.0754681i | ||||
\(302\) | −9.56128 | + | 29.4266i | −0.550190 | + | 1.69331i | ||||
\(303\) | −7.55900 | − | 14.8354i | −0.434253 | − | 0.852270i | ||||
\(304\) | 3.00287 | + | 4.13309i | 0.172226 | + | 0.237049i | ||||
\(305\) | 11.9697 | + | 8.69649i | 0.685383 | + | 0.497960i | ||||
\(306\) | −4.10266 | − | 3.58745i | −0.234533 | − | 0.205081i | ||||
\(307\) | 8.31334 | 0.474467 | 0.237234 | − | 0.971453i | \(-0.423759\pi\) | ||||
0.237234 | + | 0.971453i | \(0.423759\pi\) | |||||||
\(308\) | 3.75240 | − | 2.43280i | 0.213813 | − | 0.138622i | ||||
\(309\) | 8.81904 | − | 8.81904i | 0.501698 | − | 0.501698i | ||||
\(310\) | −13.9162 | − | 42.8296i | −0.790385 | − | 2.43256i | ||||
\(311\) | 2.99160 | − | 0.473823i | 0.169638 | − | 0.0268681i | −0.0710375 | − | 0.997474i | \(-0.522631\pi\) |
0.240676 | + | 0.970606i | \(0.422631\pi\) | |||||||
\(312\) | 34.1973 | + | 5.41632i | 1.93604 | + | 0.306639i | ||||
\(313\) | −1.45015 | + | 0.738890i | −0.0819675 | + | 0.0417645i | −0.494494 | − | 0.869181i | \(-0.664647\pi\) |
0.412526 | + | 0.910946i | \(0.364647\pi\) | |||||||
\(314\) | −44.1031 | − | 14.3299i | −2.48888 | − | 0.808686i | ||||
\(315\) | 0.300074 | + | 0.413017i | 0.0169073 | + | 0.0232709i | ||||
\(316\) | −7.00438 | − | 44.2239i | −0.394027 | − | 2.48779i | ||||
\(317\) | 2.02966 | − | 3.98344i | 0.113997 | − | 0.223732i | −0.826958 | − | 0.562264i | \(-0.809930\pi\) |
0.940955 | + | 0.338532i | \(0.109930\pi\) | |||||||
\(318\) | 4.79004 | − | 4.79004i | 0.268612 | − | 0.268612i | ||||
\(319\) | −0.607897 | + | 11.4337i | −0.0340357 | + | 0.640164i | ||||
\(320\) | −18.0279 | + | 18.0279i | −1.00779 | + | 1.00779i | ||||
\(321\) | −1.96071 | + | 0.637074i | −0.109436 | + | 0.0355580i | ||||
\(322\) | −0.866713 | − | 0.629704i | −0.0483000 | − | 0.0350920i | ||||
\(323\) | −6.08978 | − | 2.60595i | −0.338844 | − | 0.144999i | ||||
\(324\) | −12.3338 | + | 37.9594i | −0.685209 | + | 2.10886i | ||||
\(325\) | 8.40465 | + | 2.73084i | 0.466206 | + | 0.151480i | ||||
\(326\) | 0.594035 | − | 3.75059i | 0.0329006 | − | 0.207726i | ||||
\(327\) | 27.5113 | + | 19.9882i | 1.52138 | + | 1.10535i | ||||
\(328\) | 7.39602 | + | 3.76846i | 0.408377 | + | 0.208078i | ||||
\(329\) | −2.37135 | − | 2.37135i | −0.130737 | − | 0.130737i | ||||
\(330\) | −35.0302 | − | 20.2601i | −1.92835 | − | 1.11528i | ||||
\(331\) | 10.9402i | 0.601327i | 0.953730 | + | 0.300664i | \(0.0972081\pi\) | ||||
−0.953730 | + | 0.300664i | \(0.902792\pi\) | |||||||
\(332\) | −46.9890 | + | 15.2677i | −2.57886 | + | 0.837922i | ||||
\(333\) | −1.02081 | − | 6.44513i | −0.0559399 | − | 0.353191i | ||||
\(334\) | −36.0169 | − | 5.70452i | −1.97076 | − | 0.312138i | ||||
\(335\) | −8.84117 | − | 17.3518i | −0.483045 | − | 0.948028i | ||||
\(336\) | 0.646388 | − | 1.98938i | 0.0352634 | − | 0.108529i | ||||
\(337\) | 0.298083 | − | 1.88202i | 0.0162376 | − | 0.102520i | −0.978238 | − | 0.207484i | \(-0.933473\pi\) |
0.994476 | + | 0.104964i | \(0.0334726\pi\) | |||||||
\(338\) | 5.22770 | − | 7.19531i | 0.284349 | − | 0.391373i | ||||
\(339\) | −1.18471 | − | 3.64616i | −0.0643445 | − | 0.198032i | ||||
\(340\) | −10.4263 | + | 41.3037i | −0.565443 | + | 2.24001i | ||||
\(341\) | 21.5142 | + | 8.27721i | 1.16506 | + | 0.448236i | ||||
\(342\) | − | 2.12352i | − | 0.114827i | ||||||
\(343\) | −4.31937 | − | 2.20083i | −0.233224 | − | 0.118834i | ||||
\(344\) | −13.8246 | − | 10.0441i | −0.745371 | − | 0.541544i | ||||
\(345\) | −0.998940 | + | 6.30706i | −0.0537811 | + | 0.339561i | ||||
\(346\) | 17.0305 | − | 8.67747i | 0.915565 | − | 0.466504i | ||||
\(347\) | 6.71892 | − | 3.42346i | 0.360690 | − | 0.183781i | −0.264248 | − | 0.964455i | \(-0.585124\pi\) |
0.624939 | + | 0.780674i | \(0.285124\pi\) | |||||||
\(348\) | 14.7499 | + | 20.3015i | 0.790676 | + | 1.08827i | ||||
\(349\) | −7.29114 | + | 10.0354i | −0.390286 | + | 0.537183i | −0.958273 | − | 0.285855i | \(-0.907722\pi\) |
0.567987 | + | 0.823038i | \(0.307722\pi\) | |||||||
\(350\) | 0.830816 | − | 1.63057i | 0.0444090 | − | 0.0871575i | ||||
\(351\) | 13.3428 | + | 13.3428i | 0.712184 | + | 0.712184i | ||||
\(352\) | −0.450038 | − | 4.31325i | −0.0239871 | − | 0.229897i | ||||
\(353\) | 30.5926 | 1.62828 | 0.814141 | − | 0.580667i | \(-0.197208\pi\) | ||||
0.814141 | + | 0.580667i | \(0.197208\pi\) | |||||||
\(354\) | 50.0695 | + | 25.5117i | 2.66116 | + | 1.35593i | ||||
\(355\) | −15.6850 | + | 21.5886i | −0.832474 | + | 1.14580i | ||||
\(356\) | 1.28601 | − | 0.934344i | 0.0681586 | − | 0.0495201i | ||||
\(357\) | 0.602382 | + | 2.64438i | 0.0318814 | + | 0.139955i | ||||
\(358\) | 2.86359 | − | 8.81323i | 0.151346 | − | 0.465794i | ||||
\(359\) | 11.6727 | + | 16.0660i | 0.616059 | + | 0.847933i | 0.997059 | − | 0.0766424i | \(-0.0244200\pi\) |
−0.380999 | + | 0.924575i | \(0.624420\pi\) | |||||||
\(360\) | −6.49976 | + | 1.02946i | −0.342568 | + | 0.0542574i | ||||
\(361\) | 5.07376 | + | 15.6154i | 0.267040 | + | 0.821865i | ||||
\(362\) | −31.8871 | + | 31.8871i | −1.67595 | + | 1.67595i | ||||
\(363\) | 19.3494 | − | 7.39393i | 1.01558 | − | 0.388081i | ||||
\(364\) | −3.89326 | − | 3.89326i | −0.204062 | − | 0.204062i | ||||
\(365\) | 11.1847 | − | 3.63412i | 0.585433 | − | 0.190219i | ||||
\(366\) | −14.8110 | + | 20.3855i | −0.774181 | + | 1.06557i | ||||
\(367\) | −4.98970 | − | 0.790291i | −0.260460 | − | 0.0412529i | 0.0248385 | − | 0.999691i | \(-0.492093\pi\) |
−0.285299 | + | 0.958439i | \(0.592093\pi\) | |||||||
\(368\) | 3.58972 | − | 1.82905i | 0.187127 | − | 0.0953460i | ||||
\(369\) | −0.456980 | − | 0.896874i | −0.0237894 | − | 0.0466894i | ||||
\(370\) | −62.6455 | + | 45.5146i | −3.25678 | + | 2.36619i | ||||
\(371\) | −0.512701 | + | 0.0812039i | −0.0266181 | + | 0.00421590i | ||||
\(372\) | 48.0480 | − | 15.6117i | 2.49117 | − | 0.809431i | ||||
\(373\) | −15.9946 | −0.828167 | −0.414084 | − | 0.910239i | \(-0.635898\pi\) | ||||
−0.414084 | + | 0.910239i | \(0.635898\pi\) | |||||||
\(374\) | −19.8248 | − | 26.5106i | −1.02512 | − | 1.37083i | ||||
\(375\) | 14.2933 | 0.738104 | ||||||||
\(376\) | 41.1134 | − | 13.3586i | 2.12026 | − | 0.688915i | ||||
\(377\) | 13.9233 | − | 2.20524i | 0.717088 | − | 0.113576i | ||||
\(378\) | 3.16128 | − | 2.29680i | 0.162599 | − | 0.118135i | ||||
\(379\) | 13.3801 | + | 26.2598i | 0.687287 | + | 1.34888i | 0.925902 | + | 0.377763i | \(0.123307\pi\) |
−0.238615 | + | 0.971114i | \(0.576693\pi\) | |||||||
\(380\) | −14.7894 | + | 7.53557i | −0.758679 | + | 0.386566i | ||||
\(381\) | −22.6167 | − | 3.58214i | −1.15869 | − | 0.183519i | ||||
\(382\) | 32.3789 | − | 44.5657i | 1.65665 | − | 2.28018i | ||||
\(383\) | 10.9436 | − | 3.55578i | 0.559189 | − | 0.181692i | −0.0157670 | − | 0.999876i | \(-0.505019\pi\) |
0.574956 | + | 0.818184i | \(0.305019\pi\) | |||||||
\(384\) | −27.2211 | − | 27.2211i | −1.38912 | − | 1.38912i | ||||
\(385\) | 1.25912 | + | 2.83380i | 0.0641706 | + | 0.144424i | ||||
\(386\) | −3.63562 | + | 3.63562i | −0.185048 | + | 0.185048i | ||||
\(387\) | 0.640339 | + | 1.97076i | 0.0325502 | + | 0.100179i | ||||
\(388\) | −60.0796 | + | 9.51567i | −3.05008 | + | 0.483085i | ||||
\(389\) | −7.79451 | − | 10.7282i | −0.395198 | − | 0.543943i | 0.564333 | − | 0.825547i | \(-0.309133\pi\) |
−0.959531 | + | 0.281604i | \(0.909133\pi\) | |||||||
\(390\) | −15.3960 | + | 47.3840i | −0.779607 | + | 2.39938i | ||||
\(391\) | −2.78105 | + | 4.42185i | −0.140644 | + | 0.223622i | ||||
\(392\) | 25.0553 | − | 18.2037i | 1.26548 | − | 0.919427i | ||||
\(393\) | 0.0374279 | − | 0.0515150i | 0.00188799 | − | 0.00259859i | ||||
\(394\) | 0.805352 | + | 0.410347i | 0.0405731 | + | 0.0206730i | ||||
\(395\) | 31.0474 | 1.56217 | ||||||||
\(396\) | 3.49981 | − | 6.05126i | 0.175872 | − | 0.304087i | ||||
\(397\) | −5.84008 | − | 5.84008i | −0.293105 | − | 0.293105i | 0.545201 | − | 0.838306i | \(-0.316453\pi\) |
−0.838306 | + | 0.545201i | \(0.816453\pi\) | |||||||
\(398\) | 20.7000 | − | 40.6261i | 1.03760 | − | 2.03640i | ||||
\(399\) | −0.621146 | + | 0.854934i | −0.0310962 | + | 0.0428002i | ||||
\(400\) | 4.04519 | + | 5.56772i | 0.202259 | + | 0.278386i | ||||
\(401\) | −12.4825 | + | 6.36013i | −0.623344 | + | 0.317610i | −0.736982 | − | 0.675913i | \(-0.763750\pi\) |
0.113638 | + | 0.993522i | \(0.463750\pi\) | |||||||
\(402\) | 29.5517 | − | 15.0574i | 1.47391 | − | 0.750993i | ||||
\(403\) | 4.43972 | − | 28.0313i | 0.221158 | − | 1.39634i | ||||
\(404\) | −27.6121 | − | 20.0614i | −1.37375 | − | 0.998090i | ||||
\(405\) | −24.6594 | − | 12.5646i | −1.22533 | − | 0.624339i | ||||
\(406\) | − | 2.91923i | − | 0.144879i | ||||||
\(407\) | 2.10438 | − | 39.5805i | 0.104310 | − | 1.96193i | ||||
\(408\) | −33.8971 | − | 8.55660i | −1.67816 | − | 0.423615i | ||||
\(409\) | −1.48754 | − | 4.57817i | −0.0735540 | − | 0.226376i | 0.907520 | − | 0.420009i | \(-0.137973\pi\) |
−0.981074 | + | 0.193633i | \(0.937973\pi\) | |||||||
\(410\) | −7.02085 | + | 9.66337i | −0.346735 | + | 0.477240i | ||||
\(411\) | −2.49955 | + | 15.7816i | −0.123294 | + | 0.778447i | ||||
\(412\) | 7.90028 | − | 24.3146i | 0.389219 | − | 1.19789i | ||||
\(413\) | −1.95492 | − | 3.83675i | −0.0961955 | − | 0.188794i | ||||
\(414\) | −1.65401 | − | 0.261969i | −0.0812902 | − | 0.0128751i | ||||
\(415\) | −5.35933 | − | 33.8375i | −0.263079 | − | 1.66102i | ||||
\(416\) | −5.07791 | + | 1.64991i | −0.248965 | + | 0.0808937i | ||||
\(417\) | 34.1449i | 1.67208i | ||||||||
\(418\) | 2.69130 | − | 12.6146i | 0.131636 | − | 0.616999i | ||||
\(419\) | 2.59405 | + | 2.59405i | 0.126728 | + | 0.126728i | 0.767626 | − | 0.640898i | \(-0.221438\pi\) |
−0.640898 | + | 0.767626i | \(0.721438\pi\) | |||||||
\(420\) | 6.05541 | + | 3.08538i | 0.295474 | + | 0.150551i | ||||
\(421\) | 15.2833 | + | 11.1039i | 0.744861 | + | 0.541173i | 0.894230 | − | 0.447609i | \(-0.147724\pi\) |
−0.149369 | + | 0.988782i | \(0.547724\pi\) | |||||||
\(422\) | 9.65517 | − | 60.9603i | 0.470006 | − | 2.96750i | ||||
\(423\) | −4.98559 | − | 1.61992i | −0.242408 | − | 0.0787631i | ||||
\(424\) | 2.06773 | − | 6.36383i | 0.100418 | − | 0.309055i | ||||
\(425\) | −8.20359 | − | 3.51050i | −0.397932 | − | 0.170284i | ||||
\(426\) | −36.7674 | − | 26.7131i | −1.78139 | − | 1.29425i | ||||
\(427\) | 1.83638 | − | 0.596675i | 0.0888685 | − | 0.0288751i | ||||
\(428\) | −2.98825 | + | 2.98825i | −0.144442 | + | 0.144442i | ||||
\(429\) | −13.8736 | − | 21.3989i | −0.669824 | − | 1.03315i | ||||
\(430\) | 17.3873 | − | 17.3873i | 0.838492 | − | 0.838492i | ||||
\(431\) | 8.93245 | − | 17.5309i | 0.430261 | − | 0.844435i | −0.569487 | − | 0.822000i | \(-0.692858\pi\) |
0.999748 | − | 0.0224348i | \(-0.00714181\pi\) | |||||||
\(432\) | 2.29879 | + | 14.5140i | 0.110601 | + | 0.698306i | ||||
\(433\) | 16.8209 | + | 23.1520i | 0.808361 | + | 1.11261i | 0.991574 | + | 0.129540i | \(0.0413502\pi\) |
−0.183213 | + | 0.983073i | \(0.558650\pi\) | |||||||
\(434\) | −5.58951 | − | 1.81614i | −0.268305 | − | 0.0871776i | ||||
\(435\) | −15.5038 | + | 7.89959i | −0.743351 | + | 0.378756i | ||||
\(436\) | 68.8491 | + | 10.9046i | 3.29727 | + | 0.522237i | ||||
\(437\) | −2.01031 | + | 0.318402i | −0.0961663 | + | 0.0152312i | ||||
\(438\) | 6.18926 | + | 19.0486i | 0.295734 | + | 0.910177i | ||||
\(439\) | −10.2214 | + | 10.2214i | −0.487841 | + | 0.487841i | −0.907624 | − | 0.419784i | \(-0.862106\pi\) |
0.419784 | + | 0.907624i | \(0.362106\pi\) | |||||||
\(440\) | −39.9160 | − | 2.12222i | −1.90292 | − | 0.101173i | ||||
\(441\) | −3.75556 | −0.178836 | ||||||||
\(442\) | −26.8282 | + | 30.6811i | −1.27609 | + | 1.45935i | ||||
\(443\) | 4.93539 | + | 3.58577i | 0.234488 | + | 0.170365i | 0.698824 | − | 0.715294i | \(-0.253707\pi\) |
−0.464336 | + | 0.885659i | \(0.653707\pi\) | |||||||
\(444\) | −51.0602 | − | 70.2783i | −2.42321 | − | 3.33526i | ||||
\(445\) | 0.500406 | + | 0.982103i | 0.0237215 | + | 0.0465561i | ||||
\(446\) | 3.67101 | − | 11.2982i | 0.173827 | − | 0.534985i | ||||
\(447\) | 0.996781 | − | 6.29342i | 0.0471461 | − | 0.297669i | ||||
\(448\) | 0.520502 | + | 3.28632i | 0.0245914 | + | 0.155264i | ||||
\(449\) | −8.88037 | + | 17.4287i | −0.419091 | + | 0.822512i | 0.580873 | + | 0.813994i | \(0.302711\pi\) |
−0.999964 | + | 0.00851750i | \(0.997289\pi\) | |||||||
\(450\) | − | 2.86061i | − | 0.134850i | ||||||
\(451\) | −1.57797 | − | 5.90697i | −0.0743039 | − | 0.278148i | ||||
\(452\) | −5.55697 | − | 5.55697i | −0.261378 | − | 0.261378i | ||||
\(453\) | 10.9270 | − | 21.4454i | 0.513394 | − | 1.00759i | ||||
\(454\) | 18.4365 | − | 2.92005i | 0.865267 | − | 0.137045i | ||||
\(455\) | 3.08869 | − | 2.24406i | 0.144800 | − | 0.105203i | ||||
\(456\) | −6.18428 | − | 12.1373i | −0.289605 | − | 0.568383i | ||||
\(457\) | −4.51695 | − | 1.46765i | −0.211294 | − | 0.0686536i | 0.201457 | − | 0.979497i | \(-0.435432\pi\) |
−0.412752 | + | 0.910844i | \(0.635432\pi\) | |||||||
\(458\) | −38.9532 | + | 28.3011i | −1.82016 | + | 1.32243i | ||||
\(459\) | −12.2045 | − | 14.6312i | −0.569655 | − | 0.682925i | ||||
\(460\) | 4.04495 | + | 12.4491i | 0.188597 | + | 0.580442i | ||||
\(461\) | − | 33.2493i | − | 1.54857i | −0.632834 | − | 0.774287i | \(-0.718108\pi\) | ||
0.632834 | − | 0.774287i | \(-0.281892\pi\) | |||||||
\(462\) | −4.82623 | + | 2.14440i | −0.224537 | + | 0.0997665i | ||||
\(463\) | 15.8346 | 0.735895 | 0.367948 | − | 0.929847i | \(-0.380061\pi\) | ||||
0.367948 | + | 0.929847i | \(0.380061\pi\) | |||||||
\(464\) | 9.78163 | + | 4.98399i | 0.454101 | + | 0.231376i | ||||
\(465\) | 5.48011 | + | 34.6001i | 0.254134 | + | 1.60454i | ||||
\(466\) | −34.5022 | − | 5.46460i | −1.59828 | − | 0.253143i | ||||
\(467\) | 15.9510 | + | 5.18278i | 0.738122 | + | 0.239830i | 0.653862 | − | 0.756613i | \(-0.273147\pi\) |
0.0842596 | + | 0.996444i | \(0.473147\pi\) | |||||||
\(468\) | −8.18532 | − | 2.65957i | −0.378366 | − | 0.122939i | ||||
\(469\) | −2.51023 | − | 0.397581i | −0.115911 | − | 0.0183586i | ||||
\(470\) | 9.73114 | + | 61.4400i | 0.448864 | + | 2.83402i | ||||
\(471\) | 32.1413 | + | 16.3768i | 1.48099 | + | 0.754603i | ||||
\(472\) | 55.5073 | 2.55493 | ||||||||
\(473\) | 1.30618 | + | 12.5187i | 0.0600584 | + | 0.575610i | ||||
\(474\) | 52.8768i | 2.42871i | ||||||||
\(475\) | −1.07440 | − | 3.30667i | −0.0492969 | − | 0.151720i | ||||
\(476\) | 3.56111 | + | 4.26920i | 0.163223 | + | 0.195679i | ||||
\(477\) | −0.656452 | + | 0.476940i | −0.0300569 | + | 0.0218376i | ||||
\(478\) | 2.74500 | + | 0.891905i | 0.125553 | + | 0.0407948i | ||||
\(479\) | −1.83186 | − | 3.59523i | −0.0837000 | − | 0.164270i | 0.845363 | − | 0.534193i | \(-0.179384\pi\) |
−0.929063 | + | 0.369922i | \(0.879384\pi\) | |||||||
\(480\) | 5.33176 | − | 3.87375i | 0.243361 | − | 0.176812i | ||||
\(481\) | −48.1989 | + | 7.63396i | −2.19768 | + | 0.348079i | ||||
\(482\) | −27.6997 | + | 54.3637i | −1.26169 | + | 2.47620i | ||||
\(483\) | 0.589281 | + | 0.589281i | 0.0268132 | + | 0.0268132i | ||||
\(484\) | 28.4596 | − | 31.5114i | 1.29362 | − | 1.43234i | ||||
\(485\) | − | 42.1789i | − | 1.91524i | ||||||
\(486\) | 6.16306 | − | 12.0957i | 0.279562 | − | 0.548671i | ||||
\(487\) | −0.431500 | − | 2.72438i | −0.0195531 | − | 0.123454i | 0.975981 | − | 0.217855i | \(-0.0699061\pi\) |
−0.995534 | + | 0.0944019i | \(0.969906\pi\) | |||||||
\(488\) | −3.89363 | + | 24.5834i | −0.176257 | + | 1.11284i | ||||
\(489\) | −0.912813 | + | 2.80935i | −0.0412788 | + | 0.127043i | ||||
\(490\) | 20.2322 | + | 39.7079i | 0.913996 | + | 1.79382i | ||||
\(491\) | 13.7564 | + | 18.9340i | 0.620817 | + | 0.854482i | 0.997412 | − | 0.0718965i | \(-0.0229051\pi\) |
−0.376595 | + | 0.926378i | \(0.622905\pi\) | |||||||
\(492\) | −10.8408 | − | 7.87628i | −0.488740 | − | 0.355090i | ||||
\(493\) | −14.2022 | + | 0.951487i | −0.639635 | + | 0.0428528i | ||||
\(494\) | −15.8804 | −0.714494 | ||||||||
\(495\) | 3.76469 | + | 3.05331i | 0.169210 | + | 0.137236i | ||||
\(496\) | 15.6284 | − | 15.6284i | 0.701736 | − | 0.701736i | ||||
\(497\) | 1.07616 | + | 3.31209i | 0.0482725 | + | 0.148568i | ||||
\(498\) | 57.6285 | − | 9.12746i | 2.58239 | − | 0.409011i | ||||
\(499\) | −16.3303 | − | 2.58646i | −0.731042 | − | 0.115786i | −0.220193 | − | 0.975456i | \(-0.570669\pi\) |
−0.510849 | + | 0.859670i | \(0.670669\pi\) | |||||||
\(500\) | 26.1059 | − | 13.3016i | 1.16749 | − | 0.594866i | ||||
\(501\) | 26.9782 | + | 8.76574i | 1.20530 | + | 0.391625i | ||||
\(502\) | 26.2525 | + | 36.1334i | 1.17170 | + | 1.61271i | ||||
\(503\) | 6.39126 | + | 40.3529i | 0.284972 | + | 1.79925i | 0.550172 | + | 0.835051i | \(0.314562\pi\) |
−0.265199 | + | 0.964194i | \(0.585438\pi\) | |||||||
\(504\) | −0.389901 | + | 0.765224i | −0.0173676 | + | 0.0340858i | ||||
\(505\) | 16.7346 | − | 16.7346i | 0.744679 | − | 0.744679i | ||||
\(506\) | −9.49349 | − | 3.65246i | −0.422037 | − | 0.162372i | ||||
\(507\) | −4.89212 | + | 4.89212i | −0.217266 | + | 0.217266i | ||||
\(508\) | −44.6417 | + | 14.5050i | −1.98065 | + | 0.643554i | ||||
\(509\) | −0.954656 | − | 0.693598i | −0.0423144 | − | 0.0307432i | 0.566427 | − | 0.824112i | \(-0.308325\pi\) |
−0.608741 | + | 0.793369i | \(0.708325\pi\) | |||||||
\(510\) | 19.7916 | − | 46.2505i | 0.876387 | − | 2.04801i | ||||
\(511\) | 0.474274 | − | 1.45967i | 0.0209807 | − | 0.0645718i | ||||
\(512\) | −31.1905 | − | 10.1344i | −1.37844 | − | 0.447882i | ||||
\(513\) | 1.16135 | − | 7.33249i | 0.0512750 | − | 0.323737i | ||||
\(514\) | −43.9398 | − | 31.9241i | −1.93810 | − | 1.40811i | ||||
\(515\) | 15.7954 | + | 8.04813i | 0.696026 | + | 0.354643i | ||||
\(516\) | 19.5058 | + | 19.5058i | 0.858697 | + | 0.858697i | ||||
\(517\) | −27.5635 | − | 15.9416i | −1.21224 | − | 0.701111i | ||||
\(518\) | 10.1056i | 0.444015i | ||||||||
\(519\) | −14.1407 | + | 4.59461i | −0.620710 | + | 0.201681i | ||||
\(520\) | 7.69868 | + | 48.6076i | 0.337609 | + | 2.13158i | ||||
\(521\) | −27.8031 | − | 4.40357i | −1.21807 | − | 0.192924i | −0.485884 | − | 0.874024i | \(-0.661502\pi\) |
−0.732191 | + | 0.681099i | \(0.761502\pi\) | |||||||
\(522\) | −2.07165 | − | 4.06583i | −0.0906735 | − | 0.177957i | ||||
\(523\) | 8.28224 | − | 25.4901i | 0.362157 | − | 1.11460i | −0.589585 | − | 0.807706i | \(-0.700709\pi\) |
0.951742 | − | 0.306899i | \(-0.0992912\pi\) | |||||||
\(524\) | 0.0204189 | − | 0.128920i | 0.000892005 | − | 0.00563190i | ||||
\(525\) | −0.836751 | + | 1.15169i | −0.0365188 | + | 0.0502638i | ||||
\(526\) | −7.57393 | − | 23.3102i | −0.330239 | − | 1.01637i | ||||
\(527\) | −7.01379 | + | 27.7852i | −0.305525 | + | 1.21034i | ||||
\(528\) | 1.05445 | − | 19.8327i | 0.0458889 | − | 0.863106i | ||||
\(529\) | − | 21.3949i | − | 0.930212i | ||||||
\(530\) | 8.57920 | + | 4.37132i | 0.372657 | + | 0.189878i | ||||
\(531\) | −5.44555 | − | 3.95642i | −0.236317 | − | 0.171694i | ||||
\(532\) | −0.338869 | + | 2.13953i | −0.0146918 | + | 0.0927605i | ||||
\(533\) | −6.70714 | + | 3.41746i | −0.290519 | + | 0.148027i | ||||
\(534\) | −1.67262 | + | 0.852240i | −0.0723811 | + | 0.0368800i | ||||
\(535\) | −1.72242 | − | 2.37070i | −0.0744666 | − | 0.102494i | ||||
\(536\) | 19.2566 | − | 26.5044i | 0.831757 | − | 1.14482i | ||||
\(537\) | −3.27262 | + | 6.42287i | −0.141224 | + | 0.277168i | ||||
\(538\) | 9.53618 | + | 9.53618i | 0.411134 | + | 0.411134i | ||||
\(539\) | −22.3096 | − | 4.75971i | −0.960942 | − | 0.205015i | ||||
\(540\) | −47.7440 | −2.05458 | ||||||||
\(541\) | 16.6866 | + | 8.50225i | 0.717413 | + | 0.365540i | 0.774281 | − | 0.632841i | \(-0.218112\pi\) |
−0.0568683 | + | 0.998382i | \(0.518112\pi\) | |||||||
\(542\) | 26.3224 | − | 36.2297i | 1.13065 | − | 1.55620i | ||||
\(543\) | 28.3796 | − | 20.6190i | 1.21789 | − | 0.884847i | ||||
\(544\) | 5.25652 | − | 1.19742i | 0.225371 | − | 0.0513390i | ||||
\(545\) | −14.9365 | + | 45.9698i | −0.639809 | + | 1.96913i | ||||
\(546\) | 3.82186 | + | 5.26033i | 0.163560 | + | 0.225122i | ||||
\(547\) | 31.0332 | − | 4.91517i | 1.32688 | − | 0.210157i | 0.547552 | − | 0.836771i | \(-0.315560\pi\) |
0.779330 | + | 0.626614i | \(0.215560\pi\) | |||||||
\(548\) | 10.1213 | + | 31.1502i | 0.432361 | + | 1.33067i | ||||
\(549\) | 2.13423 | − | 2.13423i | 0.0910867 | − | 0.0910867i | ||||
\(550\) | 3.62547 | − | 16.9932i | 0.154591 | − | 0.724593i | ||||
\(551\) | −3.92174 | − | 3.92174i | −0.167072 | − | 0.167072i | ||||
\(552\) | −10.2167 | + | 3.31961i | −0.434852 | + | 0.141292i | ||||
\(553\) | 2.38163 | − | 3.27803i | 0.101277 | − | 0.139396i | ||||
\(554\) | 64.5656 | + | 10.2262i | 2.74313 | + | 0.434469i | ||||
\(555\) | 53.6701 | − | 27.3463i | 2.27817 | − | 1.16079i | ||||
\(556\) | 31.7758 | + | 62.3635i | 1.34759 | + | 2.64480i | ||||
\(557\) | 29.4302 | − | 21.3823i | 1.24700 | − | 0.905997i | 0.248954 | − | 0.968515i | \(-0.419913\pi\) |
0.998044 | + | 0.0625186i | \(0.0199133\pi\) | |||||||
\(558\) | −9.07377 | + | 1.43714i | −0.384123 | + | 0.0608392i | ||||
\(559\) | 14.7380 | − | 4.78868i | 0.623353 | − | 0.202540i | ||||
\(560\) | 2.97319 | 0.125640 | ||||||||
\(561\) | 12.0057 | + | 22.7809i | 0.506880 | + | 0.961812i | ||||
\(562\) | 39.0634 | 1.64779 | ||||||||
\(563\) | 30.4929 | − | 9.90775i | 1.28512 | − | 0.417562i | 0.414741 | − | 0.909939i | \(-0.363872\pi\) |
0.870382 | + | 0.492378i | \(0.163872\pi\) | |||||||
\(564\) | −68.9259 | + | 10.9168i | −2.90231 | + | 0.459680i | ||||
\(565\) | 4.40858 | − | 3.20302i | 0.185470 | − | 0.134752i | ||||
\(566\) | −14.3670 | − | 28.1967i | −0.603888 | − | 1.18520i | ||||
\(567\) | −3.21819 | + | 1.63975i | −0.135151 | + | 0.0688631i | ||||
\(568\) | −44.3387 | − | 7.02257i | −1.86041 | − | 0.294660i | ||||
\(569\) | −15.5057 | + | 21.3418i | −0.650032 | + | 0.894693i | −0.999101 | − | 0.0424046i | \(-0.986498\pi\) |
0.349068 | + | 0.937097i | \(0.386498\pi\) | |||||||
\(570\) | 18.6424 | − | 6.05729i | 0.780846 | − | 0.253712i | ||||
\(571\) | −30.0857 | − | 30.0857i | −1.25905 | − | 1.25905i | −0.951549 | − | 0.307498i | \(-0.900508\pi\) |
−0.307498 | − | 0.951549i | \(-0.599492\pi\) | |||||||
\(572\) | −45.2535 | − | 26.1728i | −1.89214 | − | 1.09434i | ||||
\(573\) | −30.3004 | + | 30.3004i | −1.26582 | + | 1.26582i | ||||
\(574\) | 0.481707 | + | 1.48254i | 0.0201061 | + | 0.0618802i | ||||
\(575\) | −2.70811 | + | 0.428922i | −0.112936 | + | 0.0178873i | ||||
\(576\) | 3.05710 | + | 4.20774i | 0.127379 | + | 0.175322i | ||||
\(577\) | −5.38135 | + | 16.5621i | −0.224029 | + | 0.689489i | 0.774360 | + | 0.632745i | \(0.218072\pi\) |
−0.998389 | + | 0.0567441i | \(0.981928\pi\) | |||||||
\(578\) | 29.7692 | − | 28.4140i | 1.23824 | − | 1.18187i | ||||
\(579\) | 3.23572 | − | 2.35089i | 0.134472 | − | 0.0976996i | ||||
\(580\) | −20.9653 | + | 28.8562i | −0.870535 | + | 1.19819i | ||||
\(581\) | −3.98372 | − | 2.02981i | −0.165273 | − | 0.0842106i | ||||
\(582\) | 71.8347 | 2.97764 | ||||||||
\(583\) | −4.50406 | + | 2.00125i | −0.186539 | + | 0.0828834i | ||||
\(584\) | 13.9894 | + | 13.9894i | 0.578886 | + | 0.578886i | ||||
\(585\) | 2.70934 | − | 5.31739i | 0.112018 | − | 0.219847i | ||||
\(586\) | 7.63497 | − | 10.5086i | 0.315398 | − | 0.434107i | ||||
\(587\) | −2.00908 | − | 2.76526i | −0.0829235 | − | 0.114134i | 0.765540 | − | 0.643388i | \(-0.222472\pi\) |
−0.848463 | + | 0.529254i | \(0.822472\pi\) | |||||||
\(588\) | −44.5459 | + | 22.6973i | −1.83704 | + | 0.936020i | ||||
\(589\) | −9.94888 | + | 5.06921i | −0.409937 | + | 0.208873i | ||||
\(590\) | −12.4950 | + | 78.8904i | −0.514412 | + | 3.24787i | ||||
\(591\) | −0.568830 | − | 0.413279i | −0.0233985 | − | 0.0170000i | ||||
\(592\) | −33.8614 | − | 17.2533i | −1.39170 | − | 0.709104i | ||||
\(593\) | − | 2.37083i | − | 0.0973582i | −0.998814 | − | 0.0486791i | \(-0.984499\pi\) | ||
0.998814 | − | 0.0486791i | \(-0.0155012\pi\) | |||||||
\(594\) | 23.3704 | − | 28.8154i | 0.958899 | − | 1.18231i | ||||
\(595\) | −3.31013 | + | 1.97581i | −0.135702 | + | 0.0810002i | ||||
\(596\) | −4.03621 | − | 12.4222i | −0.165330 | − | 0.508832i | ||||
\(597\) | −20.8479 | + | 28.6947i | −0.853249 | + | 1.17440i | ||||
\(598\) | −1.95910 | + | 12.3693i | −0.0801136 | + | 0.505817i | ||||
\(599\) | −8.34021 | + | 25.6685i | −0.340772 | + | 1.04879i | 0.623037 | + | 0.782193i | \(0.285899\pi\) |
−0.963809 | + | 0.266595i | \(0.914101\pi\) | |||||||
\(600\) | −8.33089 | − | 16.3503i | −0.340107 | − | 0.667498i | ||||
\(601\) | −3.19472 | − | 0.505994i | −0.130315 | − | 0.0206399i | 0.0909360 | − | 0.995857i | \(-0.471014\pi\) |
−0.221251 | + | 0.975217i | \(0.571014\pi\) | |||||||
\(602\) | −0.502008 | − | 3.16955i | −0.0204603 | − | 0.129181i | ||||
\(603\) | −3.77833 | + | 1.22765i | −0.153866 | + | 0.0499939i | ||||
\(604\) | − | 49.3376i | − | 2.00752i | ||||||
\(605\) | 18.4941 | + | 22.9092i | 0.751894 | + | 0.931392i | ||||
\(606\) | 28.5006 | + | 28.5006i | 1.15776 | + | 1.15776i | ||||
\(607\) | 11.4772 | + | 5.84793i | 0.465846 | + | 0.237360i | 0.671126 | − | 0.741343i | \(-0.265811\pi\) |
−0.205281 | + | 0.978703i | \(0.565811\pi\) | |||||||
\(608\) | 1.69945 | + | 1.23472i | 0.0689216 | + | 0.0500745i | ||||
\(609\) | −0.355239 | + | 2.24289i | −0.0143950 | + | 0.0908864i | ||||
\(610\) | −34.0630 | − | 11.0677i | −1.37917 | − | 0.448120i | ||||
\(611\) | −12.1143 | + | 37.2841i | −0.490093 | + | 1.50835i | ||||
\(612\) | 7.98950 | + | 3.41888i | 0.322956 | + | 0.138200i | ||||
\(613\) | −26.7659 | − | 19.4466i | −1.08106 | − | 0.785439i | −0.103196 | − | 0.994661i | \(-0.532907\pi\) |
−0.977868 | + | 0.209222i | \(0.932907\pi\) | |||||||
\(614\) | −19.1396 | + | 6.21884i | −0.772412 | + | 0.250972i | ||||
\(615\) | 6.57016 | − | 6.57016i | 0.264934 | − | 0.264934i | ||||
\(616\) | −3.28600 | + | 4.05160i | −0.132397 | + | 0.163243i | ||||
\(617\) | −2.36030 | + | 2.36030i | −0.0950222 | + | 0.0950222i | −0.753020 | − | 0.657998i | \(-0.771404\pi\) |
0.657998 | + | 0.753020i | \(0.271404\pi\) | |||||||
\(618\) | −13.7067 | + | 26.9010i | −0.551366 | + | 1.08212i | ||||
\(619\) | −0.551193 | − | 3.48009i | −0.0221543 | − | 0.139877i | 0.974132 | − | 0.225980i | \(-0.0725585\pi\) |
−0.996286 | + | 0.0861034i | \(0.972558\pi\) | |||||||
\(620\) | 42.2085 | + | 58.0950i | 1.69513 | + | 2.33315i | ||||
\(621\) | −5.56801 | − | 1.80916i | −0.223437 | − | 0.0725989i | ||||
\(622\) | −6.53305 | + | 3.32876i | −0.261952 | + | 0.133471i | ||||
\(623\) | 0.142078 | + | 0.0225029i | 0.00569222 | + | 0.000901560i | ||||
\(624\) | −24.1511 | + | 3.82517i | −0.966820 | + | 0.153129i | ||||
\(625\) | 9.62193 | + | 29.6133i | 0.384877 | + | 1.18453i | ||||
\(626\) | 2.78592 | − | 2.78592i | 0.111348 | − | 0.111348i | ||||
\(627\) | −3.60282 | + | 9.36448i | −0.143883 | + | 0.373981i | ||||
\(628\) | 73.9445 | 2.95071 | ||||||||
\(629\) | 49.1643 | − | 3.29380i | 1.96031 | − | 0.131332i | ||||
\(630\) | −0.999814 | − | 0.726408i | −0.0398336 | − | 0.0289408i | ||||
\(631\) | −6.98018 | − | 9.60739i | −0.277876 | − | 0.382464i | 0.647153 | − | 0.762361i | \(-0.275960\pi\) |
−0.925029 | + | 0.379896i | \(0.875960\pi\) | |||||||
\(632\) | 23.7121 | + | 46.5376i | 0.943216 | + | 1.85117i | ||||
\(633\) | −14.8364 | + | 45.6618i | −0.589695 | + | 1.81489i | ||||
\(634\) | −1.69302 | + | 10.6893i | −0.0672382 | + | 0.424525i | ||||
\(635\) | −5.09161 | − | 32.1471i | −0.202054 | − | 1.27572i | ||||
\(636\) | −4.90393 | + | 9.62451i | −0.194453 | + | 0.381636i | ||||
\(637\) | 28.0854i | 1.11279i | ||||||||
\(638\) | −7.15349 | − | 26.7783i | −0.283209 | − | 1.06016i | ||||
\(639\) | 3.84930 | + | 3.84930i | 0.152276 | + | 0.152276i | ||||
\(640\) | 24.8416 | − | 48.7544i | 0.981951 | − | 1.92719i | ||||
\(641\) | −16.6941 | + | 2.64408i | −0.659376 | + | 0.104435i | −0.477150 | − | 0.878822i | \(-0.658330\pi\) |
−0.182226 | + | 0.983257i | \(0.558330\pi\) | |||||||
\(642\) | 4.03754 | − | 2.93344i | 0.159349 | − | 0.115774i | ||||
\(643\) | −10.5987 | − | 20.8010i | −0.417970 | − | 0.820313i | −0.999975 | − | 0.00712696i | \(-0.997731\pi\) |
0.582004 | − | 0.813186i | \(-0.302269\pi\) | |||||||
\(644\) | 1.62468 | + | 0.527890i | 0.0640213 | + | 0.0208018i | ||||
\(645\) | −15.4748 | + | 11.2431i | −0.609320 | + | 0.442697i | ||||
\(646\) | 15.9697 | + | 1.44413i | 0.628321 | + | 0.0568185i | ||||
\(647\) | 0.581475 | + | 1.78960i | 0.0228602 | + | 0.0703563i | 0.961836 | − | 0.273627i | \(-0.0882235\pi\) |
−0.938976 | + | 0.343984i | \(0.888224\pi\) | |||||||
\(648\) | − | 46.5584i | − | 1.82899i | ||||||
\(649\) | −27.3345 | − | 30.4043i | −1.07297 | − | 1.19347i | ||||
\(650\) | −21.3927 | −0.839089 | ||||||||
\(651\) | 4.07350 | + | 2.07555i | 0.159653 | + | 0.0813473i | ||||
\(652\) | 0.947231 | + | 5.98058i | 0.0370964 | + | 0.234218i | ||||
\(653\) | 22.1620 | + | 3.51011i | 0.867264 | + | 0.137361i | 0.574184 | − | 0.818727i | \(-0.305320\pi\) |
0.293081 | + | 0.956088i | \(0.405320\pi\) | |||||||
\(654\) | −78.2910 | − | 25.4383i | −3.06142 | − | 0.994715i | ||||
\(655\) | 0.0860785 | + | 0.0279686i | 0.00336337 | + | 0.00109282i | ||||
\(656\) | −5.79006 | − | 0.917056i | −0.226064 | − | 0.0358050i | ||||
\(657\) | −0.375302 | − | 2.36956i | −0.0146419 | − | 0.0924454i | ||||
\(658\) | 7.23340 | + | 3.68560i | 0.281987 | + | 0.143680i | ||||
\(659\) | 2.54108 | 0.0989865 | 0.0494932 | − | 0.998774i | \(-0.484239\pi\) | ||||
0.0494932 | + | 0.998774i | \(0.484239\pi\) | |||||||
\(660\) | 63.1074 | + | 13.4638i | 2.45645 | + | 0.524079i | ||||
\(661\) | − | 47.1927i | − | 1.83558i | −0.397062 | − | 0.917792i | \(-0.629970\pi\) | ||
0.397062 | − | 0.917792i | \(-0.370030\pi\) | |||||||
\(662\) | −8.18387 | − | 25.1873i | −0.318075 | − | 0.978934i | ||||
\(663\) | 24.3461 | − | 20.3081i | 0.945524 | − | 0.788700i | ||||
\(664\) | 46.6265 | − | 33.8762i | 1.80946 | − | 1.31465i | ||||
\(665\) | −1.42854 | − | 0.464162i | −0.0553965 | − | 0.0179994i | ||||
\(666\) | 7.17149 | + | 14.0749i | 0.277890 | + | 0.545389i | ||||
\(667\) | −3.53846 | + | 2.57084i | −0.137010 | + | 0.0995433i | ||||
\(668\) | 57.4315 | − | 9.09626i | 2.22209 | − | 0.351945i | ||||
\(669\) | −4.19536 | + | 8.23386i | −0.162202 | + | 0.318340i | ||||
\(670\) | 33.3349 | + | 33.3349i | 1.28784 | + | 1.28784i | ||||
\(671\) | 15.3831 | − | 9.97334i | 0.593857 | − | 0.385016i | ||||
\(672\) | − | 0.860089i | − | 0.0331786i | ||||||
\(673\) | −13.9548 | + | 27.3878i | −0.537918 | + | 1.05572i | 0.448853 | + | 0.893606i | \(0.351833\pi\) |
−0.986771 | + | 0.162118i | \(0.948167\pi\) | |||||||
\(674\) | 0.721586 | + | 4.55591i | 0.0277945 | + | 0.175487i | ||||
\(675\) | 1.56447 | − | 9.87766i | 0.0602164 | − | 0.380191i | ||||
\(676\) | −4.38246 | + | 13.4878i | −0.168556 | + | 0.518763i | ||||
\(677\) | −8.88055 | − | 17.4291i | −0.341307 | − | 0.669853i | 0.655008 | − | 0.755622i | \(-0.272665\pi\) |
−0.996315 | + | 0.0857691i | \(0.972665\pi\) | |||||||
\(678\) | 5.45505 | + | 7.50824i | 0.209500 | + | 0.288352i | ||||
\(679\) | −4.45331 | − | 3.23552i | −0.170902 | − | 0.124168i | ||||
\(680\) | −3.32172 | − | 49.5811i | −0.127382 | − | 1.90135i | ||||
\(681\) | −14.5204 | −0.556422 | ||||||||
\(682\) | −55.7234 | − | 2.96265i | −2.13376 | − | 0.113446i | ||||
\(683\) | −21.7997 | + | 21.7997i | −0.834142 | + | 0.834142i | −0.988080 | − | 0.153938i | \(-0.950804\pi\) |
0.153938 | + | 0.988080i | \(0.450804\pi\) | |||||||
\(684\) | 1.04636 | + | 3.22037i | 0.0400087 | + | 0.123134i | ||||
\(685\) | −22.4317 | + | 3.55283i | −0.857072 | + | 0.135747i | ||||
\(686\) | 11.5907 | + | 1.83579i | 0.442536 | + | 0.0700908i | ||||
\(687\) | 33.3723 | − | 17.0040i | 1.27323 | − | 0.648744i | ||||
\(688\) | 11.4775 | + | 3.72926i | 0.437575 | + | 0.142177i | ||||
\(689\) | 3.56673 | + | 4.90918i | 0.135882 | + | 0.187025i | ||||
\(690\) | −2.41819 | − | 15.2679i | −0.0920590 | − | 0.581238i | ||||
\(691\) | 6.07743 | − | 11.9276i | 0.231196 | − | 0.453749i | −0.746040 | − | 0.665901i | \(-0.768047\pi\) |
0.977237 | + | 0.212152i | \(0.0680473\pi\) | |||||||
\(692\) | −21.5514 | + | 21.5514i | −0.819260 | + | 0.819260i | ||||
\(693\) | 0.611160 | − | 0.163264i | 0.0232161 | − | 0.00620189i | ||||
\(694\) | −12.9079 | + | 12.9079i | −0.489976 | + | 0.489976i | ||||
\(695\) | −46.1577 | + | 14.9975i | −1.75086 | + | 0.568889i | ||||
\(696\) | −23.6817 | − | 17.2058i | −0.897652 | − | 0.652182i | ||||
\(697\) | 7.05564 | − | 2.82675i | 0.267251 | − | 0.107071i | ||||
\(698\) | 9.27920 | − | 28.5585i | 0.351223 | − | 1.08095i | ||||
\(699\) | 25.8436 | + | 8.39708i | 0.977493 | + | 0.317607i | ||||
\(700\) | −0.456493 | + | 2.88218i | −0.0172538 | + | 0.108936i | ||||
\(701\) | −3.67652 | − | 2.67114i | −0.138860 | − | 0.100888i | 0.516187 | − | 0.856476i | \(-0.327351\pi\) |
−0.655047 | + | 0.755588i | \(0.727351\pi\) | |||||||
\(702\) | −40.6999 | − | 20.7376i | −1.53612 | − | 0.782691i | ||||
\(703\) | 13.5760 | + | 13.5760i | 0.512030 | + | 0.512030i | ||||
\(704\) | 12.8277 | + | 28.8702i | 0.483460 | + | 1.08809i | ||||
\(705\) | − | 48.3895i | − | 1.82245i | ||||||
\(706\) | −70.4328 | + | 22.8850i | −2.65077 | + | 0.861288i | ||||
\(707\) | −0.483161 | − | 3.05056i | −0.0181712 | − | 0.114728i | ||||
\(708\) | −88.5026 | − | 14.0174i | −3.32613 | − | 0.526807i | ||||
\(709\) | 1.14587 | + | 2.24889i | 0.0430339 | + | 0.0844588i | 0.911522 | − | 0.411251i | \(-0.134908\pi\) |
−0.868488 | + | 0.495710i | \(0.834908\pi\) | |||||||
\(710\) | 19.9618 | − | 61.4361i | 0.749153 | − | 2.30566i | ||||
\(711\) | 0.990806 | − | 6.25571i | 0.0371581 | − | 0.234607i | ||||
\(712\) | −1.08991 | + | 1.50014i | −0.0408462 | + | 0.0562200i | ||||
\(713\) | 2.72106 | + | 8.37456i | 0.101904 | + | 0.313630i | ||||
\(714\) | −3.36499 | − | 5.63747i | −0.125932 | − | 0.210977i | ||||
\(715\) | 22.8337 | − | 28.1537i | 0.853934 | − | 1.05289i | ||||
\(716\) | 14.7765i | 0.552225i | ||||||||
\(717\) | −2.00049 | − | 1.01930i | −0.0747097 | − | 0.0380665i | ||||
\(718\) | −38.8920 | − | 28.2567i | −1.45144 | − | 1.05453i | ||||
\(719\) | 0.143387 | − | 0.905311i | 0.00534744 | − | 0.0337624i | −0.984870 | − | 0.173293i | \(-0.944559\pi\) |
0.990218 | + | 0.139530i | \(0.0445593\pi\) | |||||||
\(720\) | 4.14100 | − | 2.10994i | 0.154326 | − | 0.0786329i | ||||
\(721\) | 2.06139 | − | 1.05033i | 0.0767700 | − | 0.0391163i | ||||
\(722\) | −23.3624 | − | 32.1556i | −0.869459 | − | 1.19671i | ||||
\(723\) | 27.8976 | − | 38.3977i | 1.03752 | − | 1.42803i | ||||
\(724\) | 32.6453 | − | 64.0699i | 1.21325 | − | 2.38114i | ||||
\(725\) | −5.28301 | − | 5.28301i | −0.196206 | − | 0.196206i | ||||
\(726\) | −39.0166 | + | 31.4973i | −1.44804 | + | 1.16897i | ||||
\(727\) | −38.7836 | −1.43841 | −0.719203 | − | 0.694800i | \(-0.755493\pi\) | ||||
−0.719203 | + | 0.694800i | \(0.755493\pi\) | |||||||
\(728\) | 5.72262 | + | 2.91582i | 0.212094 | + | 0.108067i | ||||
\(729\) | 12.0259 | − | 16.5522i | 0.445404 | − | 0.613046i | ||||
\(730\) | −23.0317 | + | 16.7335i | −0.852442 | + | 0.619335i | ||||
\(731\) | −15.2564 | + | 3.47537i | −0.564279 | + | 0.128541i | ||||
\(732\) | 12.4163 | − | 38.2133i | 0.458918 | − | 1.41240i | ||||
\(733\) | −4.72314 | − | 6.50085i | −0.174453 | − | 0.240114i | 0.712833 | − | 0.701334i | \(-0.247412\pi\) |
−0.887286 | + | 0.461220i | \(0.847412\pi\) | |||||||
\(734\) | 12.0789 | − | 1.91310i | 0.445839 | − | 0.0706139i | ||||
\(735\) | −10.7127 | − | 32.9702i | −0.395143 | − | 1.21612i | ||||
\(736\) | 1.17138 | − | 1.17138i | 0.0431775 | − | 0.0431775i | ||||
\(737\) | −24.0007 | + | 2.50421i | −0.884079 | + | 0.0922436i | ||||
\(738\) | 1.72301 | + | 1.72301i | 0.0634247 | + | 0.0634247i | ||||
\(739\) | −18.4823 | + | 6.00527i | −0.679883 | + | 0.220907i | −0.628544 | − | 0.777774i | \(-0.716349\pi\) |
−0.0513387 | + | 0.998681i | \(0.516349\pi\) | |||||||
\(740\) | 72.5763 | − | 99.8927i | 2.66796 | − | 3.67213i | ||||
\(741\) | 12.2012 | + | 1.93248i | 0.448221 | + | 0.0709913i | ||||
\(742\) | 1.11964 | − | 0.570483i | 0.0411031 | − | 0.0209431i | ||||
\(743\) | −15.4078 | − | 30.2396i | −0.565259 | − | 1.10938i | −0.979917 | − | 0.199406i | \(-0.936099\pi\) |
0.414658 | − | 0.909977i | \(-0.363901\pi\) | |||||||
\(744\) | −47.6773 | + | 34.6396i | −1.74794 | + | 1.26995i | ||||
\(745\) | 8.94539 | − | 1.41681i | 0.327734 | − | 0.0519079i | ||||
\(746\) | 36.8239 | − | 11.9648i | 1.34822 | − | 0.438063i | ||||
\(747\) | −6.98890 | −0.255711 | ||||||||
\(748\) | 43.1279 | + | 30.4353i | 1.57691 | + | 1.11282i | ||||
\(749\) | −0.382428 | −0.0139736 | ||||||||
\(750\) | −32.9072 | + | 10.6922i | −1.20160 | + | 0.390424i | ||||
\(751\) | 4.44916 | − | 0.704678i | 0.162352 | − | 0.0257141i | −0.0747291 | − | 0.997204i | \(-0.523809\pi\) |
0.237081 | + | 0.971490i | \(0.423809\pi\) | |||||||
\(752\) | −24.6991 | + | 17.9449i | −0.900683 | + | 0.654385i | ||||
\(753\) | −15.7731 | − | 30.9565i | −0.574805 | − | 1.12812i | ||||
\(754\) | −30.4058 | + | 15.4925i | −1.10731 | + | 0.564204i | ||||
\(755\) | 33.7898 | + | 5.35178i | 1.22974 | + | 0.194771i | ||||
\(756\) | −3.66242 | + | 5.04089i | −0.133201 | + | 0.183335i | ||||
\(757\) | 39.0036 | − | 12.6730i | 1.41761 | − | 0.460609i | 0.502768 | − | 0.864422i | \(-0.332315\pi\) |
0.914842 | + | 0.403812i | \(0.132315\pi\) | |||||||
\(758\) | −50.4484 | − | 50.4484i | −1.83237 | − | 1.83237i | ||||
\(759\) | 6.84953 | + | 3.96150i | 0.248622 | + | 0.143793i | ||||
\(760\) | 13.6911 | − | 13.6911i | 0.496630 | − | 0.496630i | ||||
\(761\) | −15.1530 | − | 46.6362i | −0.549296 | − | 1.69056i | −0.710550 | − | 0.703646i | \(-0.751554\pi\) |
0.161254 | − | 0.986913i | \(-0.448446\pi\) | |||||||
\(762\) | 54.7497 | − | 8.67150i | 1.98337 | − | 0.314135i | ||||
\(763\) | 3.70779 | + | 5.10333i | 0.134231 | + | 0.184753i | ||||
\(764\) | −27.1437 | + | 83.5398i | −0.982025 | + | 3.02236i | ||||
\(765\) | −3.20813 | + | 5.10091i | −0.115990 | + | 0.184424i | ||||
\(766\) | −22.5352 | + | 16.3728i | −0.814229 | + | 0.591572i | ||||
\(767\) | −29.5875 | + | 40.7237i | −1.06834 | + | 1.47045i | ||||
\(768\) | 51.0696 | + | 26.0213i | 1.84282 | + | 0.938962i | ||||
\(769\) | −44.5217 | −1.60549 | −0.802747 | − | 0.596320i | \(-0.796629\pi\) | ||||
−0.802747 | + | 0.596320i | \(0.796629\pi\) | |||||||
\(770\) | −5.01868 | − | 5.58230i | −0.180861 | − | 0.201172i | ||||
\(771\) | 29.8748 | + | 29.8748i | 1.07591 | + | 1.07591i | ||||
\(772\) | 3.72207 | − | 7.30497i | 0.133960 | − | 0.262912i | ||||
\(773\) | 3.05504 | − | 4.20490i | 0.109882 | − | 0.151240i | −0.750534 | − | 0.660832i | \(-0.770204\pi\) |
0.860416 | + | 0.509592i | \(0.170204\pi\) | |||||||
\(774\) | −2.94847 | − | 4.05823i | −0.105981 | − | 0.145870i | ||||
\(775\) | −13.4022 | + | 6.82877i | −0.481422 | + | 0.245297i | ||||
\(776\) | 63.2227 | − | 32.2136i | 2.26956 | − | 1.15640i | ||||
\(777\) | 1.22974 | − | 7.76429i | 0.0441168 | − | 0.278542i | ||||
\(778\) | 25.9704 | + | 18.8686i | 0.931086 | + | 0.676473i | ||||
\(779\) | 2.63881 | + | 1.34454i | 0.0945452 | + | 0.0481732i | ||||
\(780\) | − | 79.4455i | − | 2.84461i | ||||||
\(781\) | 17.9879 | + | 27.7450i | 0.643659 | + | 0.992792i | ||||
\(782\) | 3.09495 | − | 12.2607i | 0.110675 | − | 0.438441i | ||||
\(783\) | −4.92977 | − | 15.1723i | −0.176176 | − | 0.542213i | ||||
\(784\) | −12.8560 | + | 17.6948i | −0.459143 | + | 0.631957i | ||||
\(785\) | −8.02096 | + | 50.6424i | −0.286280 | + | 1.80750i | ||||
\(786\) | −0.0476332 | + | 0.146600i | −0.00169902 | + | 0.00522905i | ||||
\(787\) | 16.0440 | + | 31.4882i | 0.571909 | + | 1.12243i | 0.978001 | + | 0.208602i | \(0.0668912\pi\) |
−0.406092 | + | 0.913832i | \(0.633109\pi\) | |||||||
\(788\) | −1.42354 | − | 0.225466i | −0.0507114 | − | 0.00803189i | ||||
\(789\) | 2.98257 | + | 18.8312i | 0.106182 | + | 0.670410i | ||||
\(790\) | −71.4798 | + | 23.2252i | −2.54314 | + | 0.826315i | ||||
\(791\) | − | 0.711166i | − | 0.0252862i | ||||||
\(792\) | −1.70143 | + | 7.97490i | −0.0604577 | + | 0.283376i | ||||
\(793\) | −15.9605 | − | 15.9605i | −0.566775 | − | 0.566775i | ||||
\(794\) | 17.8142 | + | 9.07678i | 0.632202 | + | 0.322123i | ||||
\(795\) | −6.05959 | − | 4.40255i | −0.214912 | − | 0.156142i | ||||
\(796\) | −11.3737 | + | 71.8105i | −0.403129 | + | 2.54526i | ||||
\(797\) | −37.4467 | − | 12.1672i | −1.32643 | − | 0.430983i | −0.441731 | − | 0.897147i | \(-0.645636\pi\) |
−0.884698 | + | 0.466164i | \(0.845636\pi\) | |||||||
\(798\) | 0.790512 | − | 2.43295i | 0.0279838 | − | 0.0861254i | ||||
\(799\) | 15.5730 | − | 36.3921i | 0.550933 | − | 1.28746i | ||||
\(800\) | 2.28934 | + | 1.66330i | 0.0809403 | + | 0.0588066i | ||||
\(801\) | 0.213852 | − | 0.0694847i | 0.00755609 | − | 0.00245512i | ||||
\(802\) | 23.9803 | − | 23.9803i | 0.846776 | − | 0.846776i | ||||
\(803\) | 0.773678 | − | 14.5518i | 0.0273025 | − | 0.513523i | ||||
\(804\) | −37.3965 | + | 37.3965i | −1.31887 | + | 1.31887i | ||||
\(805\) | −0.537769 | + | 1.05543i | −0.0189539 | + | 0.0371991i | ||||
\(806\) | 10.7475 | + | 67.8569i | 0.378564 | + | 2.39016i | ||||
\(807\) | −6.16635 | − | 8.48725i | −0.217066 | − | 0.298765i | ||||
\(808\) | 37.8646 | + | 12.3030i | 1.33207 | + | 0.432817i | ||||
\(809\) | 42.5450 | − | 21.6777i | 1.49580 | − | 0.762149i | 0.501143 | − | 0.865365i | \(-0.332913\pi\) |
0.994659 | + | 0.103216i | \(0.0329132\pi\) | |||||||
\(810\) | 66.1717 | + | 10.4806i | 2.32504 | + | 0.368250i | ||||
\(811\) | 18.5835 | − | 2.94333i | 0.652554 | − | 0.103354i | 0.178625 | − | 0.983917i | \(-0.442835\pi\) |
0.473929 | + | 0.880563i | \(0.342835\pi\) | |||||||
\(812\) | 1.43845 | + | 4.42709i | 0.0504796 | + | 0.155360i | ||||
\(813\) | −24.6327 | + | 24.6327i | −0.863907 | + | 0.863907i | ||||
\(814\) | 24.7635 | + | 92.6994i | 0.867961 | + | 3.24911i | ||||
\(815\) | −4.19867 | −0.147073 | ||||||||
\(816\) | 24.6348 | − | 1.65043i | 0.862392 | − | 0.0577766i | ||||
\(817\) | −4.93244 | − | 3.58363i | −0.172564 | − | 0.125375i | ||||
\(818\) | 6.84945 | + | 9.42746i | 0.239486 | + | 0.329624i | ||||
\(819\) | −0.353585 | − | 0.693950i | −0.0123553 | − | 0.0242486i | ||||
\(820\) | 5.88569 | − | 18.1143i | 0.205537 | − | 0.632578i | ||||
\(821\) | 3.15042 | − | 19.8910i | 0.109950 | − | 0.694200i | −0.869714 | − | 0.493556i | \(-0.835697\pi\) |
0.979664 | − | 0.200643i | \(-0.0643033\pi\) | |||||||
\(822\) | −6.05082 | − | 38.2034i | −0.211046 | − | 1.33250i | ||||
\(823\) | −19.8026 | + | 38.8647i | −0.690274 | + | 1.35474i | 0.233710 | + | 0.972306i | \(0.424913\pi\) |
−0.923984 | + | 0.382432i | \(0.875087\pi\) | |||||||
\(824\) | 29.8226i | 1.03892i | ||||||||
\(825\) | −4.85339 | + | 12.6150i | −0.168973 | + | 0.439197i | ||||
\(826\) | 7.37088 | + | 7.37088i | 0.256466 | + | 0.256466i | ||||
\(827\) | −10.1139 | + | 19.8496i | −0.351693 | + | 0.690237i | −0.997300 | − | 0.0734329i | \(-0.976605\pi\) |
0.645607 | + | 0.763670i | \(0.276605\pi\) | |||||||
\(828\) | 2.63744 | − | 0.417729i | 0.0916572 | − | 0.0145171i | ||||
\(829\) | 20.9739 | − | 15.2384i | 0.728455 | − | 0.529253i | −0.160620 | − | 0.987016i | \(-0.551349\pi\) |
0.889074 | + | 0.457763i | \(0.151349\pi\) | |||||||
\(830\) | 37.6510 | + | 73.8942i | 1.30688 | + | 2.56491i | ||||
\(831\) | −48.3623 | − | 15.7139i | −1.67767 | − | 0.545108i | ||||
\(832\) | 31.4669 | − | 22.8621i | 1.09092 | − | 0.792600i | ||||
\(833\) | 2.55402 | − | 28.2434i | 0.0884917 | − | 0.978576i | ||||
\(834\) | −25.5423 | − | 78.6110i | −0.884456 | − | 2.72208i | ||||
\(835\) | 40.3198i | 1.39533i | ||||||||
\(836\) | 2.13440 | + | 20.4565i | 0.0738199 | + | 0.707502i | ||||
\(837\) | −32.1176 | −1.11015 | ||||||||
\(838\) | −7.91273 | − | 4.03174i | −0.273341 | − | 0.139274i | ||||
\(839\) | −0.566286 | − | 3.57539i | −0.0195504 | − | 0.123436i | 0.975983 | − | 0.217847i | \(-0.0699033\pi\) |
−0.995533 | + | 0.0944107i | \(0.969903\pi\) | |||||||
\(840\) | −7.83011 | − | 1.24017i | −0.270164 | − | 0.0427899i | ||||
\(841\) | 16.2459 | + | 5.27860i | 0.560202 | + | 0.182021i | ||||
\(842\) | −43.4927 | − | 14.1316i | −1.49886 | − | 0.487008i | ||||
\(843\) | −30.0130 | − | 4.75359i | −1.03370 | − | 0.163722i | ||||
\(844\) | 15.3958 | + | 97.2056i | 0.529947 | + | 3.34595i | ||||
\(845\) | −8.76203 | − | 4.46448i | −0.301423 | − | 0.153583i | ||||
\(846\) | 12.6900 | 0.436292 | ||||||||
\(847\) | 3.83746 | − | 0.195286i | 0.131857 | − | 0.00671010i | ||||
\(848\) | 4.72561i | 0.162278i | ||||||||
\(849\) | 7.60711 | + | 23.4123i | 0.261075 | + | 0.803507i | ||||
\(850\) | 21.5130 | + | 1.94540i | 0.737889 | + | 0.0667266i | ||||
\(851\) | 12.2492 | − | 8.89957i | 0.419898 | − | 0.305073i | ||||
\(852\) | 68.9216 | + | 22.3940i | 2.36121 | + | 0.767205i | ||||
\(853\) | 16.3222 | + | 32.0342i | 0.558862 | + | 1.09683i | 0.981666 | + | 0.190608i | \(0.0610459\pi\) |
−0.422804 | + | 0.906221i | \(0.638954\pi\) | |||||||
\(854\) | −3.78150 | + | 2.74742i | −0.129400 | + | 0.0940149i | ||||
\(855\) | −2.31904 | + | 0.367300i | −0.0793094 | + | 0.0125614i | ||||
\(856\) | 2.23802 | − | 4.39236i | 0.0764939 | − | 0.150128i | ||||
\(857\) | −5.23850 | − | 5.23850i | −0.178944 | − | 0.178944i | 0.611952 | − | 0.790895i | \(-0.290385\pi\) |
−0.790895 | + | 0.611952i | \(0.790385\pi\) | |||||||
\(858\) | 47.9485 | + | 38.8881i | 1.63693 | + | 1.32762i | ||||
\(859\) | 4.18510i | 0.142794i | 0.997448 | + | 0.0713970i | \(0.0227457\pi\) | ||||
−0.997448 | + | 0.0713970i | \(0.977254\pi\) | |||||||
\(860\) | −17.8008 | + | 34.9360i | −0.607001 | + | 1.19131i | ||||
\(861\) | −0.189694 | − | 1.19768i | −0.00646475 | − | 0.0408168i | ||||
\(862\) | −7.45088 | + | 47.0430i | −0.253778 | + | 1.60229i | ||||
\(863\) | −5.19632 | + | 15.9926i | −0.176885 | + | 0.544395i | −0.999715 | − | 0.0238927i | \(-0.992394\pi\) |
0.822830 | + | 0.568288i | \(0.192394\pi\) | |||||||
\(864\) | 2.74313 | + | 5.38370i | 0.0933232 | + | 0.183157i | ||||
\(865\) | −12.4222 | − | 17.0976i | −0.422366 | − | 0.581337i | ||||
\(866\) | −56.0454 | − | 40.7193i | −1.90450 | − | 1.38370i | ||||
\(867\) | −26.3298 | + | 18.2083i | −0.894207 | + | 0.618387i | ||||
\(868\) | 9.37154 | 0.318091 | ||||||||
\(869\) | 13.8141 | − | 35.9058i | 0.468612 | − | 1.21802i | ||||
\(870\) | 29.7848 | − | 29.7848i | 1.00980 | − | 1.00980i | ||||
\(871\) | 9.18083 | + | 28.2557i | 0.311081 | + | 0.957408i | ||||
\(872\) | −80.3126 | + | 12.7203i | −2.71973 | + | 0.430762i | ||||
\(873\) | −8.49857 | − | 1.34604i | −0.287633 | − | 0.0455566i | ||||
\(874\) | 4.39011 | − | 2.23688i | 0.148498 | − | 0.0756634i | ||||
\(875\) | 2.52163 | + | 0.819328i | 0.0852467 | + | 0.0276983i | ||||
\(876\) | −18.7724 | − | 25.8379i | −0.634259 | − | 0.872983i | ||||
\(877\) | −2.97086 | − | 18.7573i | −0.100319 | − | 0.633388i | −0.985698 | − | 0.168519i | \(-0.946102\pi\) |
0.885380 | − | 0.464869i | \(-0.153898\pi\) | |||||||
\(878\) | 15.8863 | − | 31.1787i | 0.536137 | − | 1.05223i | ||||
\(879\) | −7.14485 | + | 7.14485i | −0.240990 | + | 0.240990i | ||||
\(880\) | 27.2733 | − | 7.28573i | 0.919384 | − | 0.245602i | ||||
\(881\) | 0.497790 | − | 0.497790i | 0.0167710 | − | 0.0167710i | −0.698672 | − | 0.715443i | \(-0.746225\pi\) |
0.715443 | + | 0.698672i | \(0.246225\pi\) | |||||||
\(882\) | 8.64635 | − | 2.80937i | 0.291138 | − | 0.0945964i | ||||
\(883\) | 0.707262 | + | 0.513856i | 0.0238012 | + | 0.0172926i | 0.599622 | − | 0.800283i | \(-0.295317\pi\) |
−0.575821 | + | 0.817576i | \(0.695317\pi\) | |||||||
\(884\) | 25.5676 | − | 59.7483i | 0.859932 | − | 2.00955i | ||||
\(885\) | 19.2002 | − | 59.0922i | 0.645409 | − | 1.98636i | ||||
\(886\) | −14.0450 | − | 4.56350i | −0.471851 | − | 0.153314i | ||||
\(887\) | 2.38533 | − | 15.0604i | 0.0800917 | − | 0.505679i | −0.914732 | − | 0.404061i | \(-0.867598\pi\) |
0.994824 | − | 0.101617i | \(-0.0324018\pi\) | |||||||
\(888\) | 81.9798 | + | 59.5618i | 2.75106 | + | 1.99876i | ||||
\(889\) | −3.78472 | − | 1.92841i | −0.126935 | − | 0.0646768i | ||||
\(890\) | −1.88674 | − | 1.88674i | −0.0632437 | − | 0.0632437i | ||||
\(891\) | −25.5025 | + | 22.9276i | −0.854367 | + | 0.768105i | ||||
\(892\) | 18.9429i | 0.634256i | ||||||||
\(893\) | 14.6688 | − | 4.76617i | 0.490872 | − | 0.159494i | ||||
\(894\) | 2.41296 | + | 15.2349i | 0.0807016 | + | 0.509530i | ||||
\(895\) | −10.1200 | − | 1.60285i | −0.338274 | − | 0.0535774i | ||||
\(896\) | −3.24198 | − | 6.36274i | −0.108307 | − | 0.212564i | ||||
\(897\) | 3.01041 | − | 9.26510i | 0.100515 | − | 0.309353i | ||||
\(898\) | 7.40744 | − | 46.7687i | 0.247189 | − | 1.56069i | ||||
\(899\) | −14.1034 | + | 19.4117i | −0.470376 | + | 0.647417i | ||||
\(900\) | 1.40956 | + | 4.33819i | 0.0469855 | + | 0.144606i | ||||
\(901\) | −3.14036 | − | 5.26114i | −0.104621 | − | 0.175274i | ||||
\(902\) | 8.05167 | + | 12.4191i | 0.268091 | + | 0.413510i | ||||
\(903\) | 2.49631i | 0.0830718i | ||||||||
\(904\) | 8.16807 | + | 4.16184i | 0.271666 | + | 0.138421i | ||||
\(905\) | 40.3385 | + | 29.3076i | 1.34090 | + | 0.974218i | ||||
\(906\) | −9.11459 | + | 57.5473i | −0.302812 | + | 1.91188i | ||||
\(907\) | 28.6022 | − | 14.5735i | 0.949719 | − | 0.483906i | 0.0907161 | − | 0.995877i | \(-0.471084\pi\) |
0.859003 | + | 0.511971i | \(0.171084\pi\) | |||||||
\(908\) | −26.5206 | + | 13.5129i | −0.880116 | + | 0.448441i | ||||
\(909\) | −2.83778 | − | 3.90587i | −0.0941233 | − | 0.129550i | ||||
\(910\) | −5.43234 | + | 7.47697i | −0.180080 | + | 0.247859i | ||||
\(911\) | −3.94558 | + | 7.74365i | −0.130723 | + | 0.256558i | −0.947085 | − | 0.320982i | \(-0.895987\pi\) |
0.816362 | + | 0.577540i | \(0.195987\pi\) | |||||||
\(912\) | 6.80258 | + | 6.80258i | 0.225256 | + | 0.225256i | ||||
\(913\) | −41.5170 | − | 8.85757i | −1.37401 | − | 0.293143i | ||||
\(914\) | 11.4972 | 0.380292 | ||||||||
\(915\) | 24.8243 | + | 12.6486i | 0.820667 | + | 0.418151i | ||||
\(916\) | 45.1282 | − | 62.1136i | 1.49108 | − | 2.05229i | ||||
\(917\) | 0.00955600 | − | 0.00694284i | 0.000315567 | − | 0.000229273i | ||||
\(918\) | 39.0430 | + | 24.5554i | 1.28861 | + | 0.810450i | ||||
\(919\) | −11.7873 | + | 36.2776i | −0.388827 | + | 1.19669i | 0.544838 | + | 0.838541i | \(0.316591\pi\) |
−0.933665 | + | 0.358146i | \(0.883409\pi\) | |||||||
\(920\) | −8.97502 | − | 12.3531i | −0.295898 | − | 0.407268i | ||||
\(921\) | 15.4620 | − | 2.44894i | 0.509491 | − | 0.0806955i | ||||
\(922\) | 24.8723 | + | 76.5492i | 0.819126 | + | 2.52101i | ||||
\(923\) | 28.7864 | − | 28.7864i | 0.947517 | − | 0.947517i | ||||
\(924\) | 6.26246 | − | 5.63016i | 0.206020 | − | 0.185219i | ||||
\(925\) | 18.2884 | + | 18.2884i | 0.601319 | + | 0.601319i | ||||
\(926\) | −36.4556 | + | 11.8451i | −1.19800 | + | 0.389255i | ||||
\(927\) | 2.12568 | − | 2.92575i | 0.0698165 | − | 0.0960942i | ||||
\(928\) | 4.45843 | + | 0.706147i | 0.146355 | + | 0.0231804i | ||||
\(929\) | −0.694737 | + | 0.353986i | −0.0227936 | + | 0.0116139i | −0.465350 | − | 0.885127i | \(-0.654072\pi\) |
0.442557 | + | 0.896741i | \(0.354072\pi\) | |||||||
\(930\) | −38.4995 | − | 75.5595i | −1.26245 | − | 2.47769i | ||||
\(931\) | 8.93942 | − | 6.49487i | 0.292978 | − | 0.212861i | ||||
\(932\) | 55.0161 | − | 8.71370i | 1.80211 | − | 0.285427i | ||||
\(933\) | 5.42452 | − | 1.76253i | 0.177591 | − | 0.0577028i | ||||
\(934\) | −40.6005 | −1.32849 | ||||||||
\(935\) | −25.5224 | + | 26.2356i | −0.834672 | + | 0.857997i | ||||
\(936\) | 10.0396 | 0.328153 | ||||||||
\(937\) | 13.7443 | − | 4.46581i | 0.449008 | − | 0.145892i | −0.0757798 | − | 0.997125i | \(-0.524145\pi\) |
0.524788 | + | 0.851233i | \(0.324145\pi\) | |||||||
\(938\) | 6.07665 | − | 0.962447i | 0.198410 | − | 0.0314250i | ||||
\(939\) | −2.47949 | + | 1.80145i | −0.0809150 | + | 0.0587882i | ||||
\(940\) | −45.0321 | − | 88.3804i | −1.46878 | − | 2.88265i | ||||
\(941\) | −19.5183 | + | 9.94508i | −0.636279 | + | 0.324200i | −0.742204 | − | 0.670174i | \(-0.766220\pi\) |
0.105925 | + | 0.994374i | \(0.466220\pi\) | |||||||
\(942\) | −86.2488 | − | 13.6605i | −2.81014 | − | 0.445082i | ||||
\(943\) | 1.37280 | − | 1.88950i | 0.0447046 | − | 0.0615306i | ||||
\(944\) | −37.2823 | + | 12.1138i | −1.21344 | + | 0.394269i | ||||
\(945\) | −3.05508 | − | 3.05508i | −0.0993817 | − | 0.0993817i | ||||
\(946\) | −12.3719 | − | 27.8444i | −0.402244 | − | 0.905299i | ||||
\(947\) | −11.8689 | + | 11.8689i | −0.385687 | + | 0.385687i | −0.873146 | − | 0.487459i | \(-0.837924\pi\) |
0.487459 | + | 0.873146i | \(0.337924\pi\) | |||||||
\(948\) | −26.0550 | − | 80.1890i | −0.846227 | − | 2.60442i | ||||
\(949\) | −17.7204 | + | 2.80664i | −0.575229 | + | 0.0911073i | ||||
\(950\) | 4.94714 | + | 6.80915i | 0.160506 | + | 0.220918i | ||||
\(951\) | 2.60154 | − | 8.00671i | 0.0843607 | − | 0.259636i | ||||
\(952\) | −5.48965 | − | 3.45262i | −0.177920 | − | 0.111900i | ||||
\(953\) | −6.43653 | + | 4.67641i | −0.208500 | + | 0.151484i | −0.687135 | − | 0.726530i | \(-0.741132\pi\) |
0.478635 | + | 0.878014i | \(0.341132\pi\) | |||||||
\(954\) | 1.15456 | − | 1.58911i | 0.0373802 | − | 0.0514494i | ||||
\(955\) | −54.2695 | − | 27.6517i | −1.75612 | − | 0.894788i | ||||
\(956\) | −4.60235 | −0.148851 | ||||||||
\(957\) | 2.23751 | + | 21.4447i | 0.0723284 | + | 0.693208i | ||||
\(958\) | 6.90689 | + | 6.90689i | 0.223152 | + | 0.223152i | ||||
\(959\) | −1.34561 | + | 2.64091i | −0.0434520 | + | 0.0852794i | ||||
\(960\) | −28.2195 | + | 38.8409i | −0.910782 | + | 1.25358i | ||||
\(961\) | 10.1725 | + | 14.0012i | 0.328145 | + | 0.451653i | ||||
\(962\) | 105.257 | − | 53.6310i | 3.39361 | − | 1.72913i | ||||
\(963\) | −0.532637 | + | 0.271392i | −0.0171640 | + | 0.00874549i | ||||
\(964\) | 15.2196 | − | 96.0931i | 0.490192 | − | 3.09495i | ||||
\(965\) | 4.59921 | + | 3.34152i | 0.148054 | + | 0.107567i | ||||
\(966\) | −1.79750 | − | 0.915873i | −0.0578337 | − | 0.0294677i | ||||
\(967\) | 30.9834i | 0.996359i | 0.867074 | + | 0.498180i | \(0.165998\pi\) | ||||
−0.867074 | + | 0.498180i | \(0.834002\pi\) | |||||||
\(968\) | −20.2144 | + | 45.2179i | −0.649715 | + | 1.45336i | ||||
\(969\) | −12.0941 | − | 3.05289i | −0.388517 | − | 0.0980731i | ||||
\(970\) | 31.5521 | + | 97.1075i | 1.01308 | + | 3.11793i | ||||
\(971\) | 19.8312 | − | 27.2953i | 0.636414 | − | 0.875948i | −0.362004 | − | 0.932176i | \(-0.617907\pi\) |
0.998418 | + | 0.0562281i | \(0.0179074\pi\) | |||||||
\(972\) | −3.38630 | + | 21.3803i | −0.108616 | + | 0.685772i | ||||
\(973\) | −1.95727 | + | 6.02385i | −0.0627471 | + | 0.193116i | ||||
\(974\) | 3.03142 | + | 5.94950i | 0.0971331 | + | 0.190634i | ||||
\(975\) | 16.4363 | + | 2.60326i | 0.526383 | + | 0.0833709i | ||||
\(976\) | −2.74980 | − | 17.3616i | −0.0880190 | − | 0.555730i | ||||
\(977\) | 36.8466 | − | 11.9722i | 1.17883 | − | 0.383024i | 0.346896 | − | 0.937904i | \(-0.387236\pi\) |
0.831930 | + | 0.554880i | \(0.187236\pi\) | |||||||
\(978\) | − | 7.15074i | − | 0.228655i | ||||||
\(979\) | 1.35843 | − | 0.141737i | 0.0434157 | − | 0.00452994i | ||||
\(980\) | −50.2486 | − | 50.2486i | −1.60513 | − | 1.60513i | ||||
\(981\) | 8.78573 | + | 4.47655i | 0.280507 | + | 0.142925i | ||||
\(982\) | −45.8347 | − | 33.3009i | −1.46265 | − | 1.06267i | ||||
\(983\) | 5.77184 | − | 36.4420i | 0.184093 | − | 1.16232i | −0.706566 | − | 0.707647i | \(-0.749757\pi\) |
0.890659 | − | 0.454672i | \(-0.150243\pi\) | |||||||
\(984\) | 14.8660 | + | 4.83026i | 0.473911 | + | 0.153983i | ||||
\(985\) | 0.308830 | − | 0.950480i | 0.00984013 | − | 0.0302848i | ||||
\(986\) | 31.9856 | − | 12.8146i | 1.01863 | − | 0.408100i | ||||
\(987\) | −5.10903 | − | 3.71193i | −0.162622 | − | 0.118152i | ||||
\(988\) | 24.0831 | − | 7.82507i | 0.766185 | − | 0.248949i | ||||
\(989\) | −3.39978 | + | 3.39978i | −0.108107 | + | 0.108107i | ||||
\(990\) | −10.9514 | − | 4.21337i | −0.348059 | − | 0.133910i | ||||
\(991\) | 29.6655 | − | 29.6655i | 0.942356 | − | 0.942356i | −0.0560709 | − | 0.998427i | \(-0.517857\pi\) |
0.998427 | + | 0.0560709i | \(0.0178573\pi\) | |||||||
\(992\) | 4.12580 | − | 8.09734i | 0.130994 | − | 0.257091i | ||||
\(993\) | 3.22276 | + | 20.3477i | 0.102271 | + | 0.645715i | ||||
\(994\) | −4.95526 | − | 6.82032i | −0.157171 | − | 0.216328i | ||||
\(995\) | −47.9471 | − | 15.5790i | −1.52003 | − | 0.493887i | ||||
\(996\) | −82.8976 | + | 42.2384i | −2.62671 | + | 1.33838i | ||||
\(997\) | 20.1139 | + | 3.18573i | 0.637013 | + | 0.100893i | 0.466584 | − | 0.884477i | \(-0.345485\pi\) |
0.170429 | + | 0.985370i | \(0.445485\pi\) | |||||||
\(998\) | 39.5316 | − | 6.26119i | 1.25135 | − | 0.198194i | ||||
\(999\) | 17.0656 | + | 52.5224i | 0.539931 | + | 1.66174i |
(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 | 187.2.p.a.38.1 | ✓ | 128 | |
11.9 | even | 5 | inner | 187.2.p.a.174.16 | yes | 128 | |
17.13 | even | 4 | inner | 187.2.p.a.115.16 | yes | 128 | |
187.64 | even | 20 | inner | 187.2.p.a.64.1 | yes | 128 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
187.2.p.a.38.1 | ✓ | 128 | 1.1 | even | 1 | trivial | |
187.2.p.a.64.1 | yes | 128 | 187.64 | even | 20 | inner | |
187.2.p.a.115.16 | yes | 128 | 17.13 | even | 4 | inner | |
187.2.p.a.174.16 | yes | 128 | 11.9 | even | 5 | inner |