Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [400,2,Mod(67,400)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(400, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 15, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("400.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 400 = 2^{4} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 400.bm (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: | \(3.19401608085\) |
Analytic rank: | \(0\) |
Dimension: | \(464\) |
Relative dimension: | \(58\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 203.25 | ||
Character | \(\chi\) | \(=\) | 400.203 |
Dual form | 400.2.bm.a.67.25 |
$q$-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 \(\left(\mathbb{Z}/400\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(177\) | \(351\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{7}{20}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.337370 | + | 1.37338i | −0.238557 | + | 0.971129i | ||||
\(3\) | −1.50268 | + | 2.06827i | −0.867575 | + | 1.19411i | 0.112135 | + | 0.993693i | \(0.464231\pi\) |
−0.979710 | + | 0.200421i | \(0.935769\pi\) | |||||||
\(4\) | −1.77236 | − | 0.926677i | −0.886181 | − | 0.463339i | ||||
\(5\) | 0.470031 | − | 2.18611i | 0.210204 | − | 0.977657i | ||||
\(6\) | −2.33356 | − | 2.76153i | −0.952672 | − | 1.12739i | ||||
\(7\) | 2.52238 | − | 2.52238i | 0.953370 | − | 0.953370i | −0.0455906 | − | 0.998960i | \(-0.514517\pi\) |
0.998960 | + | 0.0455906i | \(0.0145170\pi\) | |||||||
\(8\) | 1.87063 | − | 2.12150i | 0.661366 | − | 0.750063i | ||||
\(9\) | −1.09262 | − | 3.36273i | −0.364206 | − | 1.12091i | ||||
\(10\) | 2.84379 | + | 1.38306i | 0.899285 | + | 0.437362i | ||||
\(11\) | 2.45771 | + | 4.82352i | 0.741027 | + | 1.45435i | 0.885403 | + | 0.464824i | \(0.153883\pi\) |
−0.144376 | + | 0.989523i | \(0.546117\pi\) | |||||||
\(12\) | 4.57992 | − | 2.27322i | 1.32211 | − | 0.656221i | ||||
\(13\) | −0.583088 | − | 1.79456i | −0.161719 | − | 0.497721i | 0.837060 | − | 0.547111i | \(-0.184272\pi\) |
−0.998780 | + | 0.0493896i | \(0.984272\pi\) | |||||||
\(14\) | 2.61322 | + | 4.31517i | 0.698412 | + | 1.15328i | ||||
\(15\) | 3.81515 | + | 4.25718i | 0.985067 | + | 1.09920i | ||||
\(16\) | 2.28254 | + | 3.28482i | 0.570635 | + | 0.821204i | ||||
\(17\) | 0.781964 | − | 4.93713i | 0.189654 | − | 1.19743i | −0.690710 | − | 0.723131i | \(-0.742702\pi\) |
0.880365 | − | 0.474298i | \(-0.157298\pi\) | |||||||
\(18\) | 4.98693 | − | 0.366097i | 1.17543 | − | 0.0862899i | ||||
\(19\) | 0.781517 | − | 4.93430i | 0.179292 | − | 1.13201i | −0.719779 | − | 0.694204i | \(-0.755757\pi\) |
0.899071 | − | 0.437803i | \(-0.144243\pi\) | |||||||
\(20\) | −2.85888 | + | 3.43901i | −0.639266 | + | 0.768986i | ||||
\(21\) | 1.42661 | + | 9.00729i | 0.311313 | + | 1.96555i | ||||
\(22\) | −7.45370 | + | 1.74806i | −1.58914 | + | 0.372688i | ||||
\(23\) | 3.24767 | − | 1.65477i | 0.677187 | − | 0.345044i | −0.0813393 | − | 0.996686i | \(-0.525920\pi\) |
0.758526 | + | 0.651642i | \(0.225920\pi\) | |||||||
\(24\) | 1.57687 | + | 7.05689i | 0.321877 | + | 1.44048i | ||||
\(25\) | −4.55814 | − | 2.05508i | −0.911628 | − | 0.411016i | ||||
\(26\) | 2.66133 | − | 0.195372i | 0.521931 | − | 0.0383156i | ||||
\(27\) | 1.30270 | + | 0.423273i | 0.250705 | + | 0.0814589i | ||||
\(28\) | −6.80800 | + | 2.13314i | −1.28659 | + | 0.403125i | ||||
\(29\) | 0.977218 | + | 6.16991i | 0.181465 | + | 1.14572i | 0.895318 | + | 0.445428i | \(0.146949\pi\) |
−0.713853 | + | 0.700296i | \(0.753051\pi\) | |||||||
\(30\) | −7.13385 | + | 3.80341i | −1.30246 | + | 0.694405i | ||||
\(31\) | 1.65481 | + | 2.27766i | 0.297213 | + | 0.409079i | 0.931340 | − | 0.364150i | \(-0.118640\pi\) |
−0.634127 | + | 0.773229i | \(0.718640\pi\) | |||||||
\(32\) | −5.28137 | + | 2.02660i | −0.933624 | + | 0.358256i | ||||
\(33\) | −13.6695 | − | 2.16503i | −2.37955 | − | 0.376884i | ||||
\(34\) | 6.51675 | + | 2.73958i | 1.11761 | + | 0.469833i | ||||
\(35\) | −4.32860 | − | 6.69979i | −0.731666 | − | 1.13247i | ||||
\(36\) | −1.17965 | + | 6.97248i | −0.196609 | + | 1.16208i | ||||
\(37\) | 2.09728 | + | 6.45477i | 0.344791 | + | 1.06116i | 0.961695 | + | 0.274120i | \(0.0883866\pi\) |
−0.616904 | + | 0.787038i | \(0.711613\pi\) | |||||||
\(38\) | 6.51303 | + | 2.73801i | 1.05655 | + | 0.444164i | ||||
\(39\) | 4.58782 | + | 1.49067i | 0.734640 | + | 0.238699i | ||||
\(40\) | −3.75858 | − | 5.08656i | −0.594283 | − | 0.804256i | ||||
\(41\) | 1.70913 | − | 0.555331i | 0.266922 | − | 0.0867281i | −0.172498 | − | 0.985010i | \(-0.555184\pi\) |
0.439420 | + | 0.898282i | \(0.355184\pi\) | |||||||
\(42\) | −12.8518 | − | 1.07950i | −1.98307 | − | 0.166571i | ||||
\(43\) | 6.56785 | 1.00159 | 0.500794 | − | 0.865566i | \(-0.333041\pi\) | ||||
0.500794 | + | 0.865566i | \(0.333041\pi\) | |||||||
\(44\) | 0.113900 | − | 10.8265i | 0.0171711 | − | 1.63216i | ||||
\(45\) | −7.86486 | + | 0.807991i | −1.17242 | + | 0.120448i | ||||
\(46\) | 1.17697 | + | 5.01857i | 0.173535 | + | 0.739948i | ||||
\(47\) | −0.206806 | − | 1.30572i | −0.0301658 | − | 0.190460i | 0.968004 | − | 0.250935i | \(-0.0807382\pi\) |
−0.998170 | + | 0.0604759i | \(0.980738\pi\) | |||||||
\(48\) | −10.2238 | − | 0.215142i | −1.47568 | − | 0.0310531i | ||||
\(49\) | − | 5.72479i | − | 0.817827i | ||||||
\(50\) | 4.36019 | − | 5.56675i | 0.616624 | − | 0.787258i | ||||
\(51\) | 9.03625 | + | 9.03625i | 1.26533 | + | 1.26533i | ||||
\(52\) | −0.629535 | + | 3.72094i | −0.0873008 | + | 0.516002i | ||||
\(53\) | 7.84013 | − | 10.7910i | 1.07693 | − | 1.48226i | 0.214064 | − | 0.976820i | \(-0.431330\pi\) |
0.862861 | − | 0.505441i | \(-0.168670\pi\) | |||||||
\(54\) | −1.02081 | + | 1.64631i | −0.138914 | + | 0.224034i | ||||
\(55\) | 11.6999 | − | 3.10561i | 1.57762 | − | 0.418760i | ||||
\(56\) | −0.632799 | − | 10.0697i | −0.0845614 | − | 1.34561i | ||||
\(57\) | 9.03108 | + | 9.03108i | 1.19620 | + | 1.19620i | ||||
\(58\) | −8.80334 | − | 0.739450i | −1.15593 | − | 0.0970945i | ||||
\(59\) | −2.90307 | + | 5.69760i | −0.377948 | + | 0.741764i | −0.999121 | − | 0.0419086i | \(-0.986656\pi\) |
0.621174 | + | 0.783673i | \(0.286656\pi\) | |||||||
\(60\) | −2.81679 | − | 11.0807i | −0.363646 | − | 1.43051i | ||||
\(61\) | −3.13709 | − | 6.15689i | −0.401663 | − | 0.788309i | 0.598252 | − | 0.801308i | \(-0.295862\pi\) |
−0.999916 | + | 0.0129993i | \(0.995862\pi\) | |||||||
\(62\) | −3.68638 | + | 1.50428i | −0.468170 | + | 0.191044i | ||||
\(63\) | −11.2381 | − | 5.72608i | −1.41586 | − | 0.721419i | ||||
\(64\) | −1.00152 | − | 7.93706i | −0.125190 | − | 0.992133i | ||||
\(65\) | −4.19717 | + | 0.431194i | −0.520595 | + | 0.0534830i | ||||
\(66\) | 7.58510 | − | 18.0430i | 0.933662 | − | 2.22094i | ||||
\(67\) | −1.24782 | + | 0.906596i | −0.152446 | + | 0.110758i | −0.661394 | − | 0.750039i | \(-0.730035\pi\) |
0.508948 | + | 0.860797i | \(0.330035\pi\) | |||||||
\(68\) | −5.96105 | + | 8.02575i | −0.722883 | + | 0.973265i | ||||
\(69\) | −1.45772 | + | 9.20366i | −0.175488 | + | 1.10799i | ||||
\(70\) | 10.6617 | − | 3.68451i | 1.27432 | − | 0.440383i | ||||
\(71\) | 12.4266 | + | 9.02846i | 1.47477 | + | 1.07148i | 0.979197 | + | 0.202913i | \(0.0650409\pi\) |
0.495570 | + | 0.868568i | \(0.334959\pi\) | |||||||
\(72\) | −9.17791 | − | 3.97242i | −1.08163 | − | 0.468154i | ||||
\(73\) | −3.00168 | − | 5.89113i | −0.351320 | − | 0.689505i | 0.645947 | − | 0.763382i | \(-0.276463\pi\) |
−0.997267 | + | 0.0738773i | \(0.976463\pi\) | |||||||
\(74\) | −9.57244 | + | 0.702724i | −1.11277 | + | 0.0816901i | ||||
\(75\) | 11.0999 | − | 6.33932i | 1.28171 | − | 0.732001i | ||||
\(76\) | −5.95764 | + | 8.02116i | −0.683388 | + | 0.920090i | ||||
\(77\) | 18.3660 | + | 5.96748i | 2.09300 | + | 0.680058i | ||||
\(78\) | −3.59506 | + | 5.79793i | −0.407061 | + | 0.656486i | ||||
\(79\) | −4.66811 | − | 3.39158i | −0.525203 | − | 0.381583i | 0.293357 | − | 0.956003i | \(-0.405228\pi\) |
−0.818561 | + | 0.574420i | \(0.805228\pi\) | |||||||
\(80\) | 8.25383 | − | 3.44591i | 0.922806 | − | 0.385264i | ||||
\(81\) | 5.74854 | − | 4.17656i | 0.638727 | − | 0.464062i | ||||
\(82\) | 0.186071 | + | 2.53465i | 0.0205482 | + | 0.279905i | ||||
\(83\) | 4.81168 | + | 6.62271i | 0.528150 | + | 0.726937i | 0.986847 | − | 0.161656i | \(-0.0516836\pi\) |
−0.458697 | + | 0.888593i | \(0.651684\pi\) | |||||||
\(84\) | 5.81837 | − | 17.2862i | 0.634836 | − | 1.88608i | ||||
\(85\) | −10.4255 | − | 4.03006i | −1.13081 | − | 0.437122i | ||||
\(86\) | −2.21580 | + | 9.02018i | −0.238936 | + | 0.972671i | ||||
\(87\) | −14.2295 | − | 7.25028i | −1.52556 | − | 0.777311i | ||||
\(88\) | 14.8306 | + | 3.80898i | 1.58094 | + | 0.406039i | ||||
\(89\) | 3.48906 | − | 10.7382i | 0.369839 | − | 1.13825i | −0.577056 | − | 0.816705i | \(-0.695798\pi\) |
0.946895 | − | 0.321543i | \(-0.104202\pi\) | |||||||
\(90\) | 1.54369 | − | 11.0741i | 0.162719 | − | 1.16731i | ||||
\(91\) | −5.99733 | − | 3.05579i | −0.628691 | − | 0.320334i | ||||
\(92\) | −7.28950 | − | 0.0766889i | −0.759983 | − | 0.00799537i | ||||
\(93\) | −7.19746 | −0.746342 | ||||||||
\(94\) | 1.86303 | + | 0.156488i | 0.192157 | + | 0.0161405i | ||||
\(95\) | −10.4196 | − | 4.02776i | −1.06903 | − | 0.413239i | ||||
\(96\) | 3.74468 | − | 13.9686i | 0.382190 | − | 1.42567i | ||||
\(97\) | −13.9913 | + | 2.21600i | −1.42060 | + | 0.225001i | −0.818998 | − | 0.573796i | \(-0.805470\pi\) |
−0.601601 | + | 0.798797i | \(0.705470\pi\) | |||||||
\(98\) | 7.86233 | + | 1.93137i | 0.794215 | + | 0.195098i | ||||
\(99\) | 13.5349 | − | 13.5349i | 1.36031 | − | 1.36031i | ||||
\(100\) | 6.17428 | + | 7.86627i | 0.617428 | + | 0.786627i | ||||
\(101\) | 3.83266 | + | 3.83266i | 0.381364 | + | 0.381364i | 0.871593 | − | 0.490230i | \(-0.163087\pi\) |
−0.490230 | + | 0.871593i | \(0.663087\pi\) | |||||||
\(102\) | −15.4588 | + | 9.36167i | −1.53065 | + | 0.926943i | ||||
\(103\) | 0.191983 | + | 1.21213i | 0.0189167 | + | 0.119435i | 0.995340 | − | 0.0964307i | \(-0.0307426\pi\) |
−0.976423 | + | 0.215866i | \(0.930743\pi\) | |||||||
\(104\) | −4.89790 | − | 2.11993i | −0.480278 | − | 0.207876i | ||||
\(105\) | 20.3615 | + | 1.11497i | 1.98708 | + | 0.108810i | ||||
\(106\) | 12.1752 | + | 14.4081i | 1.18256 | + | 1.39944i | ||||
\(107\) | − | 4.25657i | − | 0.411498i | −0.978605 | − | 0.205749i | \(-0.934037\pi\) | ||
0.978605 | − | 0.205749i | \(-0.0659630\pi\) | |||||||
\(108\) | −1.91662 | − | 1.95737i | −0.184427 | − | 0.188348i | ||||
\(109\) | −6.98810 | + | 13.7149i | −0.669339 | + | 1.31365i | 0.267388 | + | 0.963589i | \(0.413839\pi\) |
−0.936727 | + | 0.350062i | \(0.886161\pi\) | |||||||
\(110\) | 0.317978 | + | 17.1163i | 0.0303180 | + | 1.63197i | ||||
\(111\) | −16.5017 | − | 5.36174i | −1.56628 | − | 0.508914i | ||||
\(112\) | 14.0430 | + | 2.52813i | 1.32694 | + | 0.238885i | ||||
\(113\) | 1.48526 | − | 2.91498i | 0.139721 | − | 0.274219i | −0.810533 | − | 0.585692i | \(-0.800823\pi\) |
0.950255 | + | 0.311474i | \(0.100823\pi\) | |||||||
\(114\) | −15.4499 | + | 9.35631i | −1.44702 | + | 0.876299i | ||||
\(115\) | −2.09100 | − | 7.87756i | −0.194987 | − | 0.734587i | ||||
\(116\) | 3.98553 | − | 11.8409i | 0.370047 | − | 1.09940i | ||||
\(117\) | −5.39753 | + | 3.92153i | −0.499002 | + | 0.362546i | ||||
\(118\) | −6.84558 | − | 5.90923i | −0.630187 | − | 0.543989i | ||||
\(119\) | −10.4809 | − | 14.4257i | −0.960782 | − | 1.32240i | ||||
\(120\) | 16.1683 | − | 0.130244i | 1.47596 | − | 0.0118896i | ||||
\(121\) | −10.7604 | + | 14.8104i | −0.978220 | + | 1.34640i | ||||
\(122\) | 9.51413 | − | 2.23128i | 0.861368 | − | 0.202010i | ||||
\(123\) | −1.41971 | + | 4.36943i | −0.128011 | + | 0.393978i | ||||
\(124\) | −0.822278 | − | 5.57031i | −0.0738427 | − | 0.500228i | ||||
\(125\) | −6.63509 | + | 8.99864i | −0.593461 | + | 0.804863i | ||||
\(126\) | 11.6555 | − | 13.5024i | 1.03835 | − | 1.20289i | ||||
\(127\) | −0.888106 | + | 0.452512i | −0.0788066 | + | 0.0401540i | −0.492950 | − | 0.870058i | \(-0.664081\pi\) |
0.414143 | + | 0.910212i | \(0.364081\pi\) | |||||||
\(128\) | 11.2385 | + | 1.30226i | 0.993353 | + | 0.115104i | ||||
\(129\) | −9.86940 | + | 13.5841i | −0.868953 | + | 1.19601i | ||||
\(130\) | 0.823807 | − | 5.90980i | 0.0722526 | − | 0.518324i | ||||
\(131\) | −7.39726 | − | 1.17161i | −0.646301 | − | 0.102364i | −0.175326 | − | 0.984510i | \(-0.556098\pi\) |
−0.470975 | + | 0.882146i | \(0.656098\pi\) | |||||||
\(132\) | 22.2210 | + | 16.5044i | 1.93409 | + | 1.43653i | ||||
\(133\) | −10.4749 | − | 14.4175i | −0.908289 | − | 1.25015i | ||||
\(134\) | −0.824126 | − | 2.01960i | −0.0711936 | − | 0.174467i | ||||
\(135\) | 1.53763 | − | 2.64889i | 0.132338 | − | 0.227980i | ||||
\(136\) | −9.01135 | − | 10.8945i | −0.772717 | − | 0.934191i | ||||
\(137\) | 2.83222 | − | 5.55854i | 0.241973 | − | 0.474898i | −0.737798 | − | 0.675021i | \(-0.764134\pi\) |
0.979771 | + | 0.200124i | \(0.0641344\pi\) | |||||||
\(138\) | −12.1484 | − | 5.10704i | −1.03414 | − | 0.434740i | ||||
\(139\) | 1.14236 | − | 0.582061i | 0.0968936 | − | 0.0493698i | −0.404872 | − | 0.914373i | \(-0.632684\pi\) |
0.501766 | + | 0.865004i | \(0.332684\pi\) | |||||||
\(140\) | 1.46330 | + | 15.8857i | 0.123671 | + | 1.34258i | ||||
\(141\) | 3.01135 | + | 1.53436i | 0.253602 | + | 0.129216i | ||||
\(142\) | −16.5919 | + | 14.0206i | −1.39236 | + | 1.17658i | ||||
\(143\) | 7.22304 | − | 7.22304i | 0.604021 | − | 0.604021i | ||||
\(144\) | 8.55201 | − | 11.2646i | 0.712667 | − | 0.938717i | ||||
\(145\) | 13.9474 | + | 0.763747i | 1.15827 | + | 0.0634257i | ||||
\(146\) | 9.10346 | − | 2.13497i | 0.753408 | − | 0.176691i | ||||
\(147\) | 11.8404 | + | 8.60255i | 0.976579 | + | 0.709526i | ||||
\(148\) | 2.26435 | − | 13.3837i | 0.186128 | − | 1.10013i | ||||
\(149\) | 0.324719 | − | 0.324719i | 0.0266020 | − | 0.0266020i | −0.693681 | − | 0.720283i | \(-0.744012\pi\) |
0.720283 | + | 0.693681i | \(0.244012\pi\) | |||||||
\(150\) | 4.96154 | + | 17.3831i | 0.405108 | + | 1.41932i | ||||
\(151\) | −20.9572 | −1.70547 | −0.852735 | − | 0.522344i | \(-0.825058\pi\) | ||||
−0.852735 | + | 0.522344i | \(0.825058\pi\) | |||||||
\(152\) | −9.00620 | − | 10.8882i | −0.730499 | − | 0.883151i | ||||
\(153\) | −17.4566 | + | 2.76486i | −1.41128 | + | 0.223525i | ||||
\(154\) | −14.3918 | + | 23.2103i | −1.15972 | + | 1.87034i | ||||
\(155\) | 5.75702 | − | 2.54703i | 0.462415 | − | 0.204583i | ||||
\(156\) | −6.74991 | − | 6.89345i | −0.540426 | − | 0.551918i | ||||
\(157\) | − | 9.12921i | − | 0.728590i | −0.931284 | − | 0.364295i | \(-0.881310\pi\) | ||
0.931284 | − | 0.364295i | \(-0.118690\pi\) | |||||||
\(158\) | 6.23282 | − | 5.26689i | 0.495857 | − | 0.419011i | ||||
\(159\) | 10.5375 | + | 32.4310i | 0.835675 | + | 2.57194i | ||||
\(160\) | 1.94796 | + | 12.4982i | 0.154000 | + | 0.988071i | ||||
\(161\) | 4.01790 | − | 12.3658i | 0.316655 | − | 0.974564i | ||||
\(162\) | 3.79663 | + | 9.30400i | 0.298291 | + | 0.730991i | ||||
\(163\) | −16.9669 | + | 5.51289i | −1.32895 | + | 0.431803i | −0.885560 | − | 0.464525i | \(-0.846225\pi\) |
−0.443392 | + | 0.896328i | \(0.646225\pi\) | |||||||
\(164\) | −3.54382 | − | 0.599567i | −0.276725 | − | 0.0468183i | ||||
\(165\) | −11.1581 | + | 28.8654i | −0.868656 | + | 2.24716i | ||||
\(166\) | −10.7188 | + | 4.37397i | −0.831943 | + | 0.339486i | ||||
\(167\) | −1.31340 | + | 8.29247i | −0.101634 | + | 0.641691i | 0.883306 | + | 0.468796i | \(0.155312\pi\) |
−0.984940 | + | 0.172895i | \(0.944688\pi\) | |||||||
\(168\) | 21.7776 | + | 13.8227i | 1.68018 | + | 1.06644i | ||||
\(169\) | 7.63677 | − | 5.54844i | 0.587444 | − | 0.426803i | ||||
\(170\) | 9.05209 | − | 12.9586i | 0.694264 | − | 0.993883i | ||||
\(171\) | −17.4466 | + | 2.76327i | −1.33418 | + | 0.211313i | ||||
\(172\) | −11.6406 | − | 6.08628i | −0.887589 | − | 0.464075i | ||||
\(173\) | 1.75865 | − | 5.41256i | 0.133708 | − | 0.411509i | −0.861679 | − | 0.507453i | \(-0.830587\pi\) |
0.995387 | + | 0.0959439i | \(0.0305869\pi\) | |||||||
\(174\) | 14.7580 | − | 17.0965i | 1.11880 | − | 1.29608i | ||||
\(175\) | −16.6810 | + | 6.31367i | −1.26097 | + | 0.477269i | ||||
\(176\) | −10.2346 | + | 19.0830i | −0.771460 | + | 1.43844i | ||||
\(177\) | −7.42176 | − | 14.5660i | −0.557853 | − | 1.09485i | ||||
\(178\) | 13.5706 | + | 8.41457i | 1.01716 | + | 0.630698i | ||||
\(179\) | −19.3838 | + | 3.07009i | −1.44881 | + | 0.229469i | −0.830743 | − | 0.556656i | \(-0.812084\pi\) |
−0.618067 | + | 0.786125i | \(0.712084\pi\) | |||||||
\(180\) | 14.6881 | + | 5.85613i | 1.09479 | + | 0.436490i | ||||
\(181\) | 1.80337 | + | 0.285626i | 0.134044 | + | 0.0212304i | 0.223096 | − | 0.974797i | \(-0.428384\pi\) |
−0.0890521 | + | 0.996027i | \(0.528384\pi\) | |||||||
\(182\) | 6.22009 | − | 7.20570i | 0.461064 | − | 0.534122i | ||||
\(183\) | 17.4481 | + | 2.76351i | 1.28980 | + | 0.204285i | ||||
\(184\) | 2.56458 | − | 9.98540i | 0.189064 | − | 0.736133i | ||||
\(185\) | 15.0966 | − | 1.55094i | 1.10993 | − | 0.114028i | ||||
\(186\) | 2.42821 | − | 9.88487i | 0.178045 | − | 0.724794i | ||||
\(187\) | 25.7362 | − | 8.36219i | 1.88202 | − | 0.611504i | ||||
\(188\) | −0.843449 | + | 2.50586i | −0.0615149 | + | 0.182759i | ||||
\(189\) | 4.35356 | − | 2.21825i | 0.316675 | − | 0.161354i | ||||
\(190\) | 9.04691 | − | 12.9512i | 0.656332 | − | 0.939581i | ||||
\(191\) | 18.2938 | − | 5.94403i | 1.32370 | − | 0.430095i | 0.439933 | − | 0.898030i | \(-0.355002\pi\) |
0.883763 | + | 0.467935i | \(0.155002\pi\) | |||||||
\(192\) | 17.9209 | + | 9.85548i | 1.29333 | + | 0.711258i | ||||
\(193\) | −6.28035 | − | 6.28035i | −0.452070 | − | 0.452070i | 0.443971 | − | 0.896041i | \(-0.353569\pi\) |
−0.896041 | + | 0.443971i | \(0.853569\pi\) | |||||||
\(194\) | 1.67682 | − | 19.9630i | 0.120389 | − | 1.43326i | ||||
\(195\) | 5.41520 | − | 9.32882i | 0.387790 | − | 0.668051i | ||||
\(196\) | −5.30503 | + | 10.1464i | −0.378931 | + | 0.724743i | ||||
\(197\) | −9.61060 | − | 6.98251i | −0.684727 | − | 0.497483i | 0.190195 | − | 0.981746i | \(-0.439088\pi\) |
−0.874923 | + | 0.484263i | \(0.839088\pi\) | |||||||
\(198\) | 14.0223 | + | 23.1548i | 0.996522 | + | 1.64554i | ||||
\(199\) | − | 2.03702i | − | 0.144400i | −0.997390 | − | 0.0722002i | \(-0.976998\pi\) | ||
0.997390 | − | 0.0722002i | \(-0.0230021\pi\) | |||||||
\(200\) | −12.8864 | + | 5.82581i | −0.911208 | + | 0.411947i | ||||
\(201\) | − | 3.94316i | − | 0.278129i | ||||||
\(202\) | −6.55673 | + | 3.97068i | −0.461330 | + | 0.279376i | ||||
\(203\) | 18.0278 | + | 13.0979i | 1.26530 | + | 0.919295i | ||||
\(204\) | −7.64182 | − | 24.3892i | −0.535035 | − | 1.70759i | ||||
\(205\) | −0.410668 | − | 3.99737i | −0.0286823 | − | 0.279189i | ||||
\(206\) | −1.72949 | − | 0.145272i | −0.120500 | − | 0.0101216i | ||||
\(207\) | −9.11302 | − | 9.11302i | −0.633399 | − | 0.633399i | ||||
\(208\) | 4.56388 | − | 6.01149i | 0.316448 | − | 0.416822i | ||||
\(209\) | 25.7215 | − | 8.35741i | 1.77919 | − | 0.578094i | ||||
\(210\) | −8.40064 | + | 27.5879i | −0.579699 | + | 1.90375i | ||||
\(211\) | −9.19571 | + | 4.68545i | −0.633059 | + | 0.322560i | −0.740907 | − | 0.671608i | \(-0.765604\pi\) |
0.107848 | + | 0.994167i | \(0.465604\pi\) | |||||||
\(212\) | −23.8954 | + | 11.8603i | −1.64114 | + | 0.814570i | ||||
\(213\) | −37.3465 | + | 12.1346i | −2.55894 | + | 0.831450i | ||||
\(214\) | 5.84590 | + | 1.43604i | 0.399617 | + | 0.0981656i | ||||
\(215\) | 3.08710 | − | 14.3580i | 0.210538 | − | 0.979210i | ||||
\(216\) | 3.33484 | − | 1.97189i | 0.226907 | − | 0.134170i | ||||
\(217\) | 9.91918 | + | 1.57104i | 0.673357 | + | 0.106649i | ||||
\(218\) | −16.4783 | − | 14.2243i | −1.11605 | − | 0.963394i | ||||
\(219\) | 16.6950 | + | 2.64423i | 1.12814 | + | 0.178680i | ||||
\(220\) | −23.6144 | − | 5.33781i | −1.59209 | − | 0.359875i | ||||
\(221\) | −9.31592 | + | 1.47550i | −0.626657 | + | 0.0992527i | ||||
\(222\) | 12.9309 | − | 20.8543i | 0.867867 | − | 1.39965i | ||||
\(223\) | 2.69107 | + | 5.28152i | 0.180207 | + | 0.353677i | 0.963385 | − | 0.268121i | \(-0.0864026\pi\) |
−0.783178 | + | 0.621798i | \(0.786403\pi\) | |||||||
\(224\) | −8.20977 | + | 18.4335i | −0.548538 | + | 1.23164i | ||||
\(225\) | −1.93037 | + | 17.5732i | −0.128691 | + | 1.17155i | ||||
\(226\) | 3.50231 | + | 3.02326i | 0.232970 | + | 0.201104i | ||||
\(227\) | −8.17319 | + | 25.1545i | −0.542474 | + | 1.66956i | 0.184448 | + | 0.982842i | \(0.440950\pi\) |
−0.726922 | + | 0.686721i | \(0.759050\pi\) | |||||||
\(228\) | −7.63745 | − | 24.3752i | −0.505803 | − | 1.61429i | ||||
\(229\) | 18.0301 | − | 2.85569i | 1.19146 | − | 0.188709i | 0.470955 | − | 0.882157i | \(-0.343909\pi\) |
0.720507 | + | 0.693448i | \(0.243909\pi\) | |||||||
\(230\) | 11.5244 | − | 0.214094i | 0.759894 | − | 0.0141170i | ||||
\(231\) | −39.9407 | + | 29.0186i | −2.62790 | + | 1.90928i | ||||
\(232\) | 14.9175 | + | 9.46843i | 0.979380 | + | 0.621633i | ||||
\(233\) | −3.81386 | + | 24.0798i | −0.249854 | + | 1.57752i | 0.469537 | + | 0.882913i | \(0.344421\pi\) |
−0.719391 | + | 0.694605i | \(0.755579\pi\) | |||||||
\(234\) | −3.56480 | − | 8.73588i | −0.233038 | − | 0.571083i | ||||
\(235\) | −2.95166 | − | 0.161630i | −0.192545 | − | 0.0105436i | ||||
\(236\) | 10.4251 | − | 7.40800i | 0.678618 | − | 0.482220i | ||||
\(237\) | 14.0294 | − | 4.55842i | 0.911306 | − | 0.296101i | ||||
\(238\) | 23.3480 | − | 9.52748i | 1.51342 | − | 0.617575i | ||||
\(239\) | −0.0572342 | + | 0.176149i | −0.00370217 | + | 0.0113941i | −0.952891 | − | 0.303314i | \(-0.901907\pi\) |
0.949188 | + | 0.314709i | \(0.101907\pi\) | |||||||
\(240\) | −5.27583 | + | 22.2492i | −0.340554 | + | 1.43618i | ||||
\(241\) | 3.84557 | + | 11.8354i | 0.247715 | + | 0.762387i | 0.995178 | + | 0.0980844i | \(0.0312715\pi\) |
−0.747463 | + | 0.664303i | \(0.768728\pi\) | |||||||
\(242\) | −16.7102 | − | 19.7748i | −1.07417 | − | 1.27117i | ||||
\(243\) | 22.2748i | 1.42893i | ||||||||
\(244\) | −0.145386 | + | 13.8193i | −0.00930736 | + | 0.884690i | ||||
\(245\) | −12.5150 | − | 2.69083i | −0.799555 | − | 0.171911i | ||||
\(246\) | −5.52193 | − | 3.42393i | −0.352065 | − | 0.218302i | ||||
\(247\) | −9.31059 | + | 1.47465i | −0.592419 | + | 0.0938299i | ||||
\(248\) | 7.92758 | + | 0.749954i | 0.503402 | + | 0.0476221i | ||||
\(249\) | −20.9280 | −1.32626 | ||||||||
\(250\) | −10.1201 | − | 12.1484i | −0.640051 | − | 0.768332i | ||||
\(251\) | 12.9890 | − | 12.9890i | 0.819860 | − | 0.819860i | −0.166228 | − | 0.986087i | \(-0.553159\pi\) |
0.986087 | + | 0.166228i | \(0.0531587\pi\) | |||||||
\(252\) | 14.6117 | + | 20.5628i | 0.920451 | + | 1.29533i | ||||
\(253\) | 15.9637 | + | 11.5983i | 1.00363 | + | 0.729178i | ||||
\(254\) | −0.321852 | − | 1.37237i | −0.0201948 | − | 0.0861104i | ||||
\(255\) | 24.0015 | − | 15.5069i | 1.50303 | − | 0.971080i | ||||
\(256\) | −5.58004 | + | 14.9954i | −0.348752 | + | 0.937215i | ||||
\(257\) | 2.36073 | − | 2.36073i | 0.147258 | − | 0.147258i | −0.629634 | − | 0.776892i | \(-0.716795\pi\) |
0.776892 | + | 0.629634i | \(0.216795\pi\) | |||||||
\(258\) | −15.3265 | − | 18.1373i | −0.954185 | − | 1.12918i | ||||
\(259\) | 21.5715 | + | 10.9912i | 1.34039 | + | 0.682963i | ||||
\(260\) | 7.83849 | + | 3.12519i | 0.486122 | + | 0.193816i | ||||
\(261\) | 19.6800 | − | 10.0275i | 1.21816 | − | 0.620685i | ||||
\(262\) | 4.10468 | − | 9.76400i | 0.253588 | − | 0.603222i | ||||
\(263\) | −0.247162 | + | 0.485082i | −0.0152406 | + | 0.0299114i | −0.898501 | − | 0.438971i | \(-0.855343\pi\) |
0.883261 | + | 0.468882i | \(0.155343\pi\) | |||||||
\(264\) | −30.1636 | + | 24.9498i | −1.85644 | + | 1.53556i | ||||
\(265\) | −19.9052 | − | 22.2115i | −1.22277 | − | 1.36444i | ||||
\(266\) | 23.3346 | − | 9.52203i | 1.43074 | − | 0.583833i | ||||
\(267\) | 16.9665 | + | 23.3524i | 1.03834 | + | 1.42915i | ||||
\(268\) | 3.05172 | − | 0.450488i | 0.186413 | − | 0.0275180i | ||||
\(269\) | −2.27877 | − | 0.360922i | −0.138939 | − | 0.0220058i | 0.0865775 | − | 0.996245i | \(-0.472407\pi\) |
−0.225517 | + | 0.974239i | \(0.572407\pi\) | |||||||
\(270\) | 3.11919 | + | 3.00541i | 0.189828 | + | 0.182904i | ||||
\(271\) | −14.9335 | + | 20.5542i | −0.907144 | + | 1.24858i | 0.0609889 | + | 0.998138i | \(0.480575\pi\) |
−0.968133 | + | 0.250438i | \(0.919425\pi\) | |||||||
\(272\) | 18.0024 | − | 8.70057i | 1.09156 | − | 0.527550i | ||||
\(273\) | 15.3323 | − | 7.81219i | 0.927952 | − | 0.472815i | ||||
\(274\) | 6.67849 | + | 5.76500i | 0.403463 | + | 0.348277i | ||||
\(275\) | −1.28986 | − | 27.0371i | −0.0777814 | − | 1.63040i | ||||
\(276\) | 11.1124 | − | 14.9614i | 0.668889 | − | 0.900569i | ||||
\(277\) | 1.58060 | − | 4.86460i | 0.0949692 | − | 0.292285i | −0.892276 | − | 0.451490i | \(-0.850893\pi\) |
0.987246 | + | 0.159204i | \(0.0508928\pi\) | |||||||
\(278\) | 0.413995 | + | 1.76527i | 0.0248298 | + | 0.105874i | ||||
\(279\) | 5.85106 | − | 8.05329i | 0.350294 | − | 0.482138i | ||||
\(280\) | −22.3108 | − | 3.34968i | −1.33332 | − | 0.200182i | ||||
\(281\) | 17.3067 | + | 23.8206i | 1.03243 | + | 1.42102i | 0.903106 | + | 0.429418i | \(0.141281\pi\) |
0.129325 | + | 0.991602i | \(0.458719\pi\) | |||||||
\(282\) | −3.12320 | + | 3.61809i | −0.185984 | + | 0.215454i | ||||
\(283\) | −21.7160 | + | 15.7776i | −1.29088 | + | 0.937883i | −0.999823 | − | 0.0188214i | \(-0.994009\pi\) |
−0.291062 | + | 0.956704i | \(0.594009\pi\) | |||||||
\(284\) | −13.6580 | − | 27.5172i | −0.810452 | − | 1.63284i | ||||
\(285\) | 23.9878 | − | 15.4980i | 1.42092 | − | 0.918024i | ||||
\(286\) | 7.48317 | + | 12.3568i | 0.442489 | + | 0.730676i | ||||
\(287\) | 2.91033 | − | 5.71184i | 0.171791 | − | 0.337159i | ||||
\(288\) | 12.5854 | + | 15.5455i | 0.741603 | + | 0.916029i | ||||
\(289\) | −7.59579 | − | 2.46802i | −0.446811 | − | 0.145178i | ||||
\(290\) | −5.75436 | + | 18.8975i | −0.337908 | + | 1.10970i | ||||
\(291\) | 16.4412 | − | 32.2676i | 0.963800 | − | 1.89156i | ||||
\(292\) | −0.139110 | + | 13.2228i | −0.00814081 | + | 0.773807i | ||||
\(293\) | 5.01190i | 0.292798i | 0.989226 | + | 0.146399i | \(0.0467684\pi\) | ||||
−0.989226 | + | 0.146399i | \(0.953232\pi\) | |||||||
\(294\) | −15.8092 | + | 13.3592i | −0.922011 | + | 0.779121i | ||||
\(295\) | 11.0910 | + | 9.02448i | 0.645745 | + | 0.525426i | ||||
\(296\) | 17.6170 | + | 7.62508i | 1.02397 | + | 0.443199i | ||||
\(297\) | 1.15999 | + | 7.32388i | 0.0673094 | + | 0.424975i | ||||
\(298\) | 0.336413 | + | 0.555514i | 0.0194879 | + | 0.0321801i | ||||
\(299\) | −4.86327 | − | 4.86327i | −0.281250 | − | 0.281250i | ||||
\(300\) | −25.5475 | + | 0.949549i | −1.47499 | + | 0.0548222i | ||||
\(301\) | 16.5666 | − | 16.5666i | 0.954884 | − | 0.954884i | ||||
\(302\) | 7.07032 | − | 28.7822i | 0.406851 | − | 1.65623i | ||||
\(303\) | −13.6862 | + | 2.16769i | −0.786253 | + | 0.124530i | ||||
\(304\) | 17.9921 | − | 8.69560i | 1.03192 | − | 0.498727i | ||||
\(305\) | −14.9342 | + | 3.96409i | −0.855127 | + | 0.226983i | ||||
\(306\) | 2.09214 | − | 24.9074i | 0.119599 | − | 1.42386i | ||||
\(307\) | 17.0472 | 0.972934 | 0.486467 | − | 0.873699i | \(-0.338285\pi\) | ||||
0.486467 | + | 0.873699i | \(0.338285\pi\) | |||||||
\(308\) | −27.0213 | − | 27.5959i | −1.53968 | − | 1.57242i | ||||
\(309\) | −2.79551 | − | 1.42438i | −0.159031 | − | 0.0810303i | ||||
\(310\) | 1.55581 | + | 8.76588i | 0.0883638 | + | 0.497869i | ||||
\(311\) | −5.21806 | + | 16.0596i | −0.295889 | + | 0.910654i | 0.687032 | + | 0.726627i | \(0.258913\pi\) |
−0.982921 | + | 0.184026i | \(0.941087\pi\) | |||||||
\(312\) | 11.7446 | − | 6.94457i | 0.664905 | − | 0.393159i | ||||
\(313\) | −17.2377 | − | 8.78304i | −0.974331 | − | 0.496447i | −0.107044 | − | 0.994254i | \(-0.534139\pi\) |
−0.867287 | + | 0.497808i | \(0.834139\pi\) | |||||||
\(314\) | 12.5379 | + | 3.07992i | 0.707554 | + | 0.173810i | ||||
\(315\) | −17.8001 | + | 21.8762i | −1.00292 | + | 1.23258i | ||||
\(316\) | 5.13068 | + | 10.3369i | 0.288623 | + | 0.581498i | ||||
\(317\) | −9.74864 | − | 13.4179i | −0.547538 | − | 0.753622i | 0.442137 | − | 0.896947i | \(-0.354220\pi\) |
−0.989676 | + | 0.143326i | \(0.954220\pi\) | |||||||
\(318\) | −48.0952 | + | 3.53073i | −2.69704 | + | 0.197993i | ||||
\(319\) | −27.3590 | + | 19.8775i | −1.53181 | + | 1.11293i | ||||
\(320\) | −17.8220 | − | 1.54124i | −0.996282 | − | 0.0861577i | ||||
\(321\) | 8.80371 | + | 6.39627i | 0.491375 | + | 0.357005i | ||||
\(322\) | 15.6275 | + | 9.68998i | 0.870887 | + | 0.540002i | ||||
\(323\) | −23.7502 | − | 7.71689i | −1.32149 | − | 0.429379i | ||||
\(324\) | −14.0588 | + | 2.07534i | −0.781046 | + | 0.115296i | ||||
\(325\) | −1.03017 | + | 9.37815i | −0.0571433 | + | 0.520206i | ||||
\(326\) | −1.84717 | − | 25.1620i | −0.102305 | − | 1.39359i | ||||
\(327\) | −17.8652 | − | 35.0624i | −0.987948 | − | 1.93896i | ||||
\(328\) | 2.01901 | − | 4.66474i | 0.111481 | − | 0.257567i | ||||
\(329\) | −3.81518 | − | 2.77189i | −0.210337 | − | 0.152819i | ||||
\(330\) | −35.8788 | − | 25.0626i | −1.97506 | − | 1.37965i | ||||
\(331\) | 3.02227 | − | 19.0819i | 0.166119 | − | 1.04884i | −0.753908 | − | 0.656980i | \(-0.771833\pi\) |
0.920027 | − | 0.391855i | \(-0.128167\pi\) | |||||||
\(332\) | −2.39093 | − | 16.1967i | −0.131219 | − | 0.888910i | ||||
\(333\) | 19.4141 | − | 14.1052i | 1.06389 | − | 0.772960i | ||||
\(334\) | −10.9456 | − | 4.60143i | −0.598919 | − | 0.251779i | ||||
\(335\) | 1.39540 | + | 3.15400i | 0.0762390 | + | 0.172322i | ||||
\(336\) | −26.3310 | + | 25.2456i | −1.43647 | + | 1.37726i | ||||
\(337\) | 1.30579 | + | 0.665332i | 0.0711308 | + | 0.0362429i | 0.489194 | − | 0.872175i | \(-0.337291\pi\) |
−0.418063 | + | 0.908418i | \(0.637291\pi\) | |||||||
\(338\) | 5.04371 | + | 12.3601i | 0.274342 | + | 0.672300i | ||||
\(339\) | 3.79709 | + | 7.45221i | 0.206230 | + | 0.404748i | ||||
\(340\) | 14.7433 | + | 16.8038i | 0.799567 | + | 0.911317i | ||||
\(341\) | −6.91928 | + | 13.5798i | −0.374700 | + | 0.735390i | ||||
\(342\) | 2.09094 | − | 24.8931i | 0.113065 | − | 1.34607i | ||||
\(343\) | 3.21656 | + | 3.21656i | 0.173678 | + | 0.173678i | ||||
\(344\) | 12.2860 | − | 13.9337i | 0.662416 | − | 0.751255i | ||||
\(345\) | 19.4350 | + | 7.51273i | 1.04635 | + | 0.404472i | ||||
\(346\) | 6.84021 | + | 4.24134i | 0.367732 | + | 0.228016i | ||||
\(347\) | −5.33416 | + | 7.34184i | −0.286353 | + | 0.394130i | −0.927825 | − | 0.373016i | \(-0.878324\pi\) |
0.641473 | + | 0.767146i | \(0.278324\pi\) | |||||||
\(348\) | 18.5011 | + | 26.0362i | 0.991764 | + | 1.39569i | ||||
\(349\) | −5.73424 | − | 5.73424i | −0.306947 | − | 0.306947i | 0.536777 | − | 0.843724i | \(-0.319642\pi\) |
−0.843724 | + | 0.536777i | \(0.819642\pi\) | |||||||
\(350\) | −3.04340 | − | 25.0395i | −0.162677 | − | 1.33842i | ||||
\(351\) | − | 2.58458i | − | 0.137955i | ||||||
\(352\) | −22.7554 | − | 20.4940i | −1.21287 | − | 1.09234i | ||||
\(353\) | −1.77560 | − | 11.2107i | −0.0945058 | − | 0.596686i | −0.988805 | − | 0.149216i | \(-0.952325\pi\) |
0.894299 | − | 0.447470i | \(-0.147675\pi\) | |||||||
\(354\) | 22.5086 | − | 5.27877i | 1.19632 | − | 0.280564i | ||||
\(355\) | 25.5781 | − | 22.9223i | 1.35754 | − | 1.21659i | ||||
\(356\) | −16.1347 | + | 15.7988i | −0.855139 | + | 0.837334i | ||||
\(357\) | 45.5857 | 2.41265 | ||||||||
\(358\) | 2.32310 | − | 27.6571i | 0.122780 | − | 1.46172i | ||||
\(359\) | 14.4807 | − | 4.70507i | 0.764263 | − | 0.248324i | 0.0991555 | − | 0.995072i | \(-0.468386\pi\) |
0.665107 | + | 0.746748i | \(0.268386\pi\) | |||||||
\(360\) | −12.9980 | + | 18.1967i | −0.685057 | + | 0.959052i | ||||
\(361\) | −5.66650 | − | 1.84116i | −0.298237 | − | 0.0969030i | ||||
\(362\) | −1.00068 | + | 2.38036i | −0.0525945 | + | 0.125109i | ||||
\(363\) | −14.4624 | − | 44.5108i | −0.759081 | − | 2.33621i | ||||
\(364\) | 7.79771 | + | 10.9736i | 0.408711 | + | 0.575171i | ||||
\(365\) | −14.2895 | + | 3.79299i | −0.747949 | + | 0.198534i | ||||
\(366\) | −9.68184 | + | 23.0306i | −0.506078 | + | 1.20383i | ||||
\(367\) | −11.0889 | − | 1.75632i | −0.578838 | − | 0.0916790i | −0.139851 | − | 0.990172i | \(-0.544663\pi\) |
−0.438987 | + | 0.898494i | \(0.644663\pi\) | |||||||
\(368\) | 12.8486 | + | 6.89093i | 0.669778 | + | 0.359215i | ||||
\(369\) | −3.73486 | − | 5.14059i | −0.194429 | − | 0.267608i | ||||
\(370\) | −2.96311 | + | 21.2567i | −0.154045 | + | 1.10508i | ||||
\(371\) | −7.44325 | − | 46.9948i | −0.386434 | − | 2.43985i | ||||
\(372\) | 12.7565 | + | 6.66972i | 0.661394 | + | 0.345809i | ||||
\(373\) | 16.0468 | + | 5.21391i | 0.830869 | + | 0.269966i | 0.693412 | − | 0.720542i | \(-0.256107\pi\) |
0.137458 | + | 0.990508i | \(0.456107\pi\) | |||||||
\(374\) | 2.80187 | + | 38.1668i | 0.144881 | + | 1.97356i | ||||
\(375\) | −8.64114 | − | 27.2452i | −0.446226 | − | 1.40694i | ||||
\(376\) | −3.15695 | − | 2.00378i | −0.162807 | − | 0.103337i | ||||
\(377\) | 10.5025 | − | 5.35128i | 0.540905 | − | 0.275605i | ||||
\(378\) | 1.57774 | + | 6.72747i | 0.0811504 | + | 0.346024i | ||||
\(379\) | −2.25437 | − | 14.2335i | −0.115799 | − | 0.731126i | −0.975446 | − | 0.220238i | \(-0.929317\pi\) |
0.859647 | − | 0.510888i | \(-0.170683\pi\) | |||||||
\(380\) | 14.7348 | + | 16.7942i | 0.755882 | + | 0.861526i | ||||
\(381\) | 0.398625 | − | 2.51682i | 0.0204222 | − | 0.128941i | ||||
\(382\) | 1.99163 | + | 27.1298i | 0.101901 | + | 1.38808i | ||||
\(383\) | −2.95097 | + | 18.6317i | −0.150787 | + | 0.952034i | 0.790017 | + | 0.613085i | \(0.210072\pi\) |
−0.940805 | + | 0.338950i | \(0.889928\pi\) | |||||||
\(384\) | −19.5813 | + | 21.2874i | −0.999256 | + | 1.08632i | ||||
\(385\) | 21.6782 | − | 37.3452i | 1.10482 | − | 1.90329i | ||||
\(386\) | 10.7441 | − | 6.50652i | 0.546862 | − | 0.331173i | ||||
\(387\) | −7.17615 | − | 22.0859i | −0.364784 | − | 1.12269i | ||||
\(388\) | 26.8511 | + | 9.03785i | 1.36316 | + | 0.458827i | ||||
\(389\) | 8.68735 | + | 17.0499i | 0.440466 | + | 0.864463i | 0.999379 | + | 0.0352367i | \(0.0112185\pi\) |
−0.558913 | + | 0.829226i | \(0.688781\pi\) | |||||||
\(390\) | 10.9851 | + | 10.5844i | 0.556253 | + | 0.535962i | ||||
\(391\) | −5.63026 | − | 17.3282i | −0.284734 | − | 0.876322i | ||||
\(392\) | −12.1451 | − | 10.7089i | −0.613422 | − | 0.540883i | ||||
\(393\) | 13.5389 | − | 13.5389i | 0.682949 | − | 0.682949i | ||||
\(394\) | 12.8320 | − | 10.8433i | 0.646467 | − | 0.546280i | ||||
\(395\) | −9.60852 | + | 8.61085i | −0.483457 | + | 0.433259i | ||||
\(396\) | −36.5312 | + | 11.4462i | −1.83576 | + | 0.575195i | ||||
\(397\) | −9.37117 | + | 12.8983i | −0.470326 | + | 0.647348i | −0.976610 | − | 0.215019i | \(-0.931019\pi\) |
0.506284 | + | 0.862367i | \(0.331019\pi\) | |||||||
\(398\) | 2.79761 | + | 0.687230i | 0.140231 | + | 0.0344477i | ||||
\(399\) | 45.5596 | 2.28083 | ||||||||
\(400\) | −3.65357 | − | 19.6635i | −0.182679 | − | 0.983173i | ||||
\(401\) | −15.7042 | −0.784230 | −0.392115 | − | 0.919916i | \(-0.628256\pi\) | ||||
−0.392115 | + | 0.919916i | \(0.628256\pi\) | |||||||
\(402\) | 5.41547 | + | 1.33030i | 0.270099 | + | 0.0663495i | ||||
\(403\) | 3.12249 | − | 4.29773i | 0.155542 | − | 0.214085i | ||||
\(404\) | −3.24122 | − | 10.3445i | −0.161257 | − | 0.514658i | ||||
\(405\) | −6.42842 | − | 14.5300i | −0.319431 | − | 0.722004i | ||||
\(406\) | −24.0705 | + | 20.3402i | −1.19460 | + | 1.00947i | ||||
\(407\) | −25.9802 | + | 25.9802i | −1.28779 | + | 1.28779i | ||||
\(408\) | 36.0738 | − | 2.26696i | 1.78592 | − | 0.112231i | ||||
\(409\) | −2.69006 | − | 8.27917i | −0.133015 | − | 0.409378i | 0.862261 | − | 0.506464i | \(-0.169048\pi\) |
−0.995276 | + | 0.0970860i | \(0.969048\pi\) | |||||||
\(410\) | 5.62847 | + | 0.784591i | 0.277970 | + | 0.0387482i | ||||
\(411\) | 7.24061 | + | 14.2105i | 0.357153 | + | 0.700952i | ||||
\(412\) | 0.782994 | − | 2.32625i | 0.0385753 | − | 0.114606i | ||||
\(413\) | 7.04886 | + | 21.6942i | 0.346852 | + | 1.06750i | ||||
\(414\) | 15.5901 | − | 9.44120i | 0.766213 | − | 0.464010i | ||||
\(415\) | 16.7396 | − | 7.40597i | 0.821715 | − | 0.363545i | ||||
\(416\) | 6.71636 | + | 8.29605i | 0.329297 | + | 0.406747i | ||||
\(417\) | −0.512747 | + | 3.23736i | −0.0251093 | + | 0.158534i | ||||
\(418\) | 2.80027 | + | 38.1450i | 0.136966 | + | 1.86573i | ||||
\(419\) | −2.43440 | + | 15.3702i | −0.118928 | + | 0.750884i | 0.854085 | + | 0.520134i | \(0.174118\pi\) |
−0.973013 | + | 0.230750i | \(0.925882\pi\) | |||||||
\(420\) | −35.0547 | − | 20.8446i | −1.71049 | − | 1.01711i | ||||
\(421\) | −0.948114 | − | 5.98615i | −0.0462082 | − | 0.291747i | 0.953753 | − | 0.300593i | \(-0.0971844\pi\) |
−0.999961 | + | 0.00884526i | \(0.997184\pi\) | |||||||
\(422\) | −3.33256 | − | 14.2100i | −0.162226 | − | 0.691730i | ||||
\(423\) | −4.16484 | + | 2.12209i | −0.202501 | + | 0.103180i | ||||
\(424\) | −8.22719 | − | 36.8188i | −0.399547 | − | 1.78808i | ||||
\(425\) | −13.7105 | + | 20.8971i | −0.665056 | + | 1.01366i | ||||
\(426\) | −4.06588 | − | 55.3849i | −0.196992 | − | 2.68341i | ||||
\(427\) | −23.4429 | − | 7.61707i | −1.13448 | − | 0.368616i | ||||
\(428\) | −3.94446 | + | 7.54418i | −0.190663 | + | 0.364662i | ||||
\(429\) | 4.08523 | + | 25.7931i | 0.197237 | + | 1.24530i | ||||
\(430\) | 18.6776 | + | 9.08374i | 0.900714 | + | 0.438057i | ||||
\(431\) | −3.93095 | − | 5.41049i | −0.189347 | − | 0.260614i | 0.703780 | − | 0.710418i | \(-0.251494\pi\) |
−0.893127 | + | 0.449804i | \(0.851494\pi\) | |||||||
\(432\) | 1.58309 | + | 5.24526i | 0.0761664 | + | 0.252363i | ||||
\(433\) | −6.94292 | − | 1.09965i | −0.333655 | − | 0.0528458i | −0.0126409 | − | 0.999920i | \(-0.504024\pi\) |
−0.321014 | + | 0.947074i | \(0.604024\pi\) | |||||||
\(434\) | −5.50408 | + | 13.0928i | −0.264204 | + | 0.628475i | ||||
\(435\) | −22.5382 | + | 27.6993i | −1.08062 | + | 1.32808i | ||||
\(436\) | 25.0947 | − | 17.8321i | 1.20182 | − | 0.854002i | ||||
\(437\) | −5.62704 | − | 17.3182i | −0.269178 | − | 0.828444i | ||||
\(438\) | −9.26394 | + | 22.0366i | −0.442648 | + | 1.05295i | ||||
\(439\) | 12.4104 | + | 4.03239i | 0.592317 | + | 0.192456i | 0.589811 | − | 0.807541i | \(-0.299202\pi\) |
0.00250636 | + | 0.999997i | \(0.499202\pi\) | |||||||
\(440\) | 15.2977 | − | 30.6309i | 0.729288 | − | 1.46027i | ||||
\(441\) | −19.2509 | + | 6.25500i | −0.916711 | + | 0.297857i | ||||
\(442\) | 1.11649 | − | 13.2921i | 0.0531061 | − | 0.632242i | ||||
\(443\) | −17.1887 | −0.816661 | −0.408330 | − | 0.912834i | \(-0.633889\pi\) | ||||
−0.408330 | + | 0.912834i | \(0.633889\pi\) | |||||||
\(444\) | 24.2785 | + | 24.7947i | 1.15221 | + | 1.17671i | ||||
\(445\) | −21.8349 | − | 12.6748i | −1.03508 | − | 0.600841i | ||||
\(446\) | −8.16144 | + | 1.91404i | −0.386455 | + | 0.0906325i | ||||
\(447\) | 0.183656 | + | 1.15956i | 0.00868661 | + | 0.0548451i | ||||
\(448\) | −22.5465 | − | 17.4941i | −1.06522 | − | 0.826517i | ||||
\(449\) | 32.8074i | 1.54828i | 0.633017 | + | 0.774138i | \(0.281816\pi\) | ||||
−0.633017 | + | 0.774138i | \(0.718184\pi\) | |||||||
\(450\) | −23.4835 | − | 8.57982i | −1.10702 | − | 0.404457i | ||||
\(451\) | 6.87920 | + | 6.87920i | 0.323929 | + | 0.323929i | ||||
\(452\) | −5.33367 | + | 3.79005i | −0.250875 | + | 0.178269i | ||||
\(453\) | 31.4920 | − | 43.3450i | 1.47962 | − | 2.03653i | ||||
\(454\) | −31.7894 | − | 19.7113i | −1.49195 | − | 0.925097i | ||||
\(455\) | −9.49922 | + | 11.6745i | −0.445330 | + | 0.547309i | ||||
\(456\) | 36.0532 | − | 2.26566i | 1.68835 | − | 0.106099i | ||||
\(457\) | 5.34454 | + | 5.34454i | 0.250007 | + | 0.250007i | 0.820973 | − | 0.570966i | \(-0.193431\pi\) |
−0.570966 | + | 0.820973i | \(0.693431\pi\) | |||||||
\(458\) | −2.16087 | + | 25.7257i | −0.100971 | + | 1.20208i | ||||
\(459\) | 3.10841 | − | 6.10061i | 0.145088 | − | 0.284752i | ||||
\(460\) | −3.59394 | + | 15.8996i | −0.167568 | + | 0.741322i | ||||
\(461\) | −11.8845 | − | 23.3246i | −0.553515 | − | 1.08633i | −0.983059 | − | 0.183288i | \(-0.941326\pi\) |
0.429544 | − | 0.903046i | \(-0.358674\pi\) | |||||||
\(462\) | −26.3789 | − | 64.6439i | −1.22726 | − | 3.00750i | ||||
\(463\) | 32.9097 | + | 16.7683i | 1.52944 | + | 0.779290i | 0.997711 | − | 0.0676221i | \(-0.0215412\pi\) |
0.531732 | + | 0.846912i | \(0.321541\pi\) | |||||||
\(464\) | −18.0365 | + | 17.2930i | −0.837323 | + | 0.802809i | ||||
\(465\) | −3.38303 | + | 15.7344i | −0.156884 | + | 0.729666i | ||||
\(466\) | −31.7841 | − | 13.3617i | −1.47237 | − | 0.618968i | ||||
\(467\) | −25.1037 | + | 18.2389i | −1.16166 | + | 0.843995i | −0.989987 | − | 0.141159i | \(-0.954917\pi\) |
−0.171673 | + | 0.985154i | \(0.554917\pi\) | |||||||
\(468\) | 13.2004 | − | 1.94861i | 0.610187 | − | 0.0900746i | ||||
\(469\) | −0.860702 | + | 5.43426i | −0.0397435 | + | 0.250931i | ||||
\(470\) | 1.21778 | − | 3.99923i | 0.0561721 | − | 0.184471i | ||||
\(471\) | 18.8816 | + | 13.7183i | 0.870019 | + | 0.632106i | ||||
\(472\) | 6.65689 | + | 16.8169i | 0.306408 | + | 0.774063i | ||||
\(473\) | 16.1419 | + | 31.6802i | 0.742204 | + | 1.45666i | ||||
\(474\) | 1.52736 | + | 20.8056i | 0.0701542 | + | 0.955633i | ||||
\(475\) | −13.7026 | + | 20.8852i | −0.628720 | + | 0.958277i | ||||
\(476\) | 5.20796 | + | 35.2800i | 0.238707 | + | 1.61706i | ||||
\(477\) | −44.8535 | − | 14.5738i | −2.05370 | − | 0.667288i | ||||
\(478\) | −0.222611 | − | 0.138032i | −0.0101820 | − | 0.00631343i | ||||
\(479\) | 15.5166 | + | 11.2735i | 0.708971 | + | 0.515098i | 0.882842 | − | 0.469671i | \(-0.155627\pi\) |
−0.173870 | + | 0.984769i | \(0.555627\pi\) | |||||||
\(480\) | −28.7768 | − | 14.7520i | −1.31348 | − | 0.673332i | ||||
\(481\) | 10.3606 | − | 7.52740i | 0.472402 | − | 0.343220i | ||||
\(482\) | −17.5520 | + | 1.28851i | −0.799470 | + | 0.0586901i | ||||
\(483\) | 19.5382 | + | 26.8920i | 0.889019 | + | 1.22363i | ||||
\(484\) | 32.7959 | − | 16.2780i | 1.49072 | − | 0.739911i | ||||
\(485\) | −1.73192 | + | 31.6281i | −0.0786425 | + | 1.43616i | ||||
\(486\) | −30.5918 | − | 7.51485i | −1.38767 | − | 0.340880i | ||||
\(487\) | 16.5121 | + | 8.41333i | 0.748234 | + | 0.381244i | 0.786149 | − | 0.618037i | \(-0.212072\pi\) |
−0.0379150 | + | 0.999281i | \(0.512072\pi\) | |||||||
\(488\) | −18.9302 | − | 4.86189i | −0.856928 | − | 0.220088i | ||||
\(489\) | 14.0938 | − | 43.3763i | 0.637344 | − | 1.96154i | ||||
\(490\) | 7.91774 | − | 16.2801i | 0.357687 | − | 0.735460i | ||||
\(491\) | −35.0080 | − | 17.8375i | −1.57989 | − | 0.804995i | −0.579938 | − | 0.814661i | \(-0.696923\pi\) |
−0.999953 | + | 0.00966614i | \(0.996923\pi\) | |||||||
\(492\) | 6.56530 | − | 6.42860i | 0.295986 | − | 0.289823i | ||||
\(493\) | 31.2258 | 1.40634 | ||||||||
\(494\) | 1.11585 | − | 13.2845i | 0.0502046 | − | 0.597699i | ||||
\(495\) | −23.2269 | − | 35.9505i | −1.04397 | − | 1.61586i | ||||
\(496\) | −3.70450 | + | 10.6346i | −0.166337 | + | 0.477507i | ||||
\(497\) | 54.1178 | − | 8.57142i | 2.42752 | − | 0.384481i | ||||
\(498\) | 7.06047 | − | 28.7421i | 0.316387 | − | 1.28796i | ||||
\(499\) | −9.92047 | + | 9.92047i | −0.444101 | + | 0.444101i | −0.893388 | − | 0.449287i | \(-0.851678\pi\) |
0.449287 | + | 0.893388i | \(0.351678\pi\) | |||||||
\(500\) | 20.0986 | − | 9.80026i | 0.898838 | − | 0.438281i | ||||
\(501\) | −15.1774 | − | 15.1774i | −0.678077 | − | 0.678077i | ||||
\(502\) | 13.4568 | + | 22.2210i | 0.600606 | + | 0.991772i | ||||
\(503\) | −3.14783 | − | 19.8746i | −0.140355 | − | 0.886166i | −0.952904 | − | 0.303273i | \(-0.901921\pi\) |
0.812549 | − | 0.582893i | \(-0.198079\pi\) | |||||||
\(504\) | −33.1701 | + | 13.1302i | −1.47751 | + | 0.584866i | ||||
\(505\) | 10.1801 | − | 6.57714i | 0.453008 | − | 0.292679i | ||||
\(506\) | −21.3146 | + | 18.0113i | −0.947548 | + | 0.800701i | ||||
\(507\) | 24.1324i | 1.07176i | ||||||||
\(508\) | 1.99338 | + | 0.0209713i | 0.0884418 | + | 0.000930450i | ||||
\(509\) | −18.8888 | + | 37.0714i | −0.837232 | + | 1.64316i | −0.0737986 | + | 0.997273i | \(0.523512\pi\) |
−0.763433 | + | 0.645887i | \(0.776488\pi\) | |||||||
\(510\) | 13.1995 | + | 38.1949i | 0.584484 | + | 1.69130i | ||||
\(511\) | −22.4310 | − | 7.28829i | −0.992291 | − | 0.322415i | ||||
\(512\) | −18.7119 | − | 12.7225i | −0.826959 | − | 0.562262i | ||||
\(513\) | 3.10664 | − | 6.09712i | 0.137161 | − | 0.269194i | ||||
\(514\) | 2.44575 | + | 4.03863i | 0.107877 | + | 0.178136i | ||||
\(515\) | 2.74010 | + | 0.150045i | 0.120743 | + | 0.00661177i | ||||
\(516\) | 30.0802 | − | 14.9301i | 1.32421 | − | 0.657263i | ||||
\(517\) | 5.78992 | − | 4.20663i | 0.254641 | − | 0.185007i | ||||
\(518\) | −22.3728 | + | 25.9179i | −0.983003 | + | 1.13877i | ||||
\(519\) | 8.55193 | + | 11.7707i | 0.375388 | + | 0.516677i | ||||
\(520\) | −6.93656 | + | 9.71090i | −0.304188 | + | 0.425851i | ||||
\(521\) | 16.5121 | − | 22.7270i | 0.723410 | − | 0.995688i | −0.275994 | − | 0.961159i | \(-0.589007\pi\) |
0.999404 | − | 0.0345288i | \(-0.0109930\pi\) | |||||||
\(522\) | 7.13211 | + | 30.4112i | 0.312164 | + | 1.33106i | ||||
\(523\) | 1.87432 | − | 5.76857i | 0.0819584 | − | 0.252242i | −0.901678 | − | 0.432409i | \(-0.857664\pi\) |
0.983636 | + | 0.180167i | \(0.0576637\pi\) | |||||||
\(524\) | 12.0249 | + | 8.93139i | 0.525311 | + | 0.390170i | ||||
\(525\) | 12.0080 | − | 43.9883i | 0.524071 | − | 1.91981i | ||||
\(526\) | −0.582818 | − | 0.503100i | −0.0254121 | − | 0.0219362i | ||||
\(527\) | 12.5391 | − | 6.38898i | 0.546211 | − | 0.278308i | ||||
\(528\) | −24.0894 | − | 49.8435i | −1.04836 | − | 2.16916i | ||||
\(529\) | −5.70994 | + | 7.85906i | −0.248258 | + | 0.341698i | ||||
\(530\) | 37.2203 | − | 19.8440i | 1.61675 | − | 0.861969i | ||||
\(531\) | 22.3314 | + | 3.53695i | 0.969102 | + | 0.153491i | ||||
\(532\) | 5.20498 | + | 35.2598i | 0.225665 | + | 1.52871i | ||||
\(533\) | −1.99315 | − | 2.74333i | −0.0863329 | − | 0.118827i | ||||
\(534\) | −37.7958 | + | 15.4231i | −1.63559 | + | 0.667424i | ||||
\(535\) | −9.30532 | − | 2.00072i | −0.402304 | − | 0.0864986i | ||||
\(536\) | −0.410865 | + | 4.34316i | −0.0177467 | + | 0.187596i | ||||
\(537\) | 22.7779 | − | 44.7041i | 0.982939 | − | 1.92913i | ||||
\(538\) | 1.26447 | − | 3.00786i | 0.0545153 | − | 0.129678i | ||||
\(539\) | 27.6137 | − | 14.0699i | 1.18940 | − | 0.606032i | ||||
\(540\) | −5.17990 | + | 3.26991i | −0.222908 | + | 0.140714i | ||||
\(541\) | 23.3116 | + | 11.8779i | 1.00224 | + | 0.510669i | 0.876504 | − | 0.481394i | \(-0.159869\pi\) |
0.125741 | + | 0.992063i | \(0.459869\pi\) | |||||||
\(542\) | −23.1906 | − | 27.4437i | −0.996123 | − | 1.17881i | ||||
\(543\) | −3.30065 | + | 3.30065i | −0.141644 | + | 0.141644i | ||||
\(544\) | 5.87574 | + | 27.6595i | 0.251920 | + | 1.18589i | ||||
\(545\) | 26.6977 | + | 21.7232i | 1.14360 | + | 0.930519i | ||||
\(546\) | 5.55647 | + | 23.6927i | 0.237795 | + | 1.01395i | ||||
\(547\) | −23.2974 | − | 16.9266i | −0.996127 | − | 0.723728i | −0.0348724 | − | 0.999392i | \(-0.511102\pi\) |
−0.961254 | + | 0.275663i | \(0.911102\pi\) | |||||||
\(548\) | −10.1707 | + | 7.22719i | −0.434470 | + | 0.308730i | ||||
\(549\) | −17.2763 | + | 17.2763i | −0.737335 | + | 0.737335i | ||||
\(550\) | 37.5674 | + | 7.35004i | 1.60188 | + | 0.313407i | ||||
\(551\) | 31.2079 | 1.32950 | ||||||||
\(552\) | 16.7987 | + | 20.3091i | 0.715001 | + | 0.864414i | ||||
\(553\) | −20.3296 | + | 3.21989i | −0.864502 | + | 0.136924i | ||||
\(554\) | 6.14771 | + | 3.81194i | 0.261191 | + | 0.161954i | ||||
\(555\) | −19.4777 | + | 33.5544i | −0.826782 | + | 1.42431i | ||||
\(556\) | −2.56406 | − | 0.0269751i | −0.108740 | − | 0.00114400i | ||||
\(557\) | − | 9.74199i | − | 0.412781i | −0.978470 | − | 0.206391i | \(-0.933828\pi\) | ||
0.978470 | − | 0.206391i | \(-0.0661718\pi\) | |||||||
\(558\) | 9.08628 | + | 10.7527i | 0.384653 | + | 0.455198i | ||||
\(559\) | −3.82964 | − | 11.7864i | −0.161976 | − | 0.498512i | ||||
\(560\) | 12.1274 | − | 29.5112i | 0.512476 | − | 1.24707i | ||||
\(561\) | −21.3781 | + | 65.7950i | −0.902584 | + | 2.77787i | ||||
\(562\) | −38.5536 | + | 15.7324i | −1.62629 | + | 0.663630i | ||||
\(563\) | 23.9741 | − | 7.78966i | 1.01039 | − | 0.328295i | 0.243379 | − | 0.969931i | \(-0.421744\pi\) |
0.767009 | + | 0.641636i | \(0.221744\pi\) | |||||||
\(564\) | −3.91535 | − | 5.50999i | −0.164866 | − | 0.232013i | ||||
\(565\) | −5.67435 | − | 4.61707i | −0.238722 | − | 0.194242i | ||||
\(566\) | −14.3424 | − | 35.1474i | −0.602855 | − | 1.47735i | ||||
\(567\) | 3.96513 | − | 25.0349i | 0.166520 | − | 1.05137i | ||||
\(568\) | 42.3994 | − | 9.47418i | 1.77904 | − | 0.397528i | ||||
\(569\) | −21.5389 | + | 15.6489i | −0.902957 | + | 0.656037i | −0.939224 | − | 0.343306i | \(-0.888453\pi\) |
0.0362669 | + | 0.999342i | \(0.488453\pi\) | |||||||
\(570\) | 13.1920 | + | 38.1730i | 0.552550 | + | 1.59889i | ||||
\(571\) | −13.1961 | + | 2.09006i | −0.552241 | + | 0.0874664i | −0.426317 | − | 0.904574i | \(-0.640189\pi\) |
−0.125923 | + | 0.992040i | \(0.540189\pi\) | |||||||
\(572\) | −19.4953 | + | 6.10842i | −0.815139 | + | 0.255406i | ||||
\(573\) | −15.1960 | + | 46.7685i | −0.634823 | + | 1.95378i | ||||
\(574\) | 6.86268 | + | 5.92400i | 0.286443 | + | 0.247263i | ||||
\(575\) | −18.2040 | + | 0.868461i | −0.759161 | + | 0.0362173i | ||||
\(576\) | −25.5959 | + | 12.0400i | −1.06650 | + | 0.501667i | ||||
\(577\) | −17.0278 | − | 33.4190i | −0.708877 | − | 1.39125i | −0.911214 | − | 0.411934i | \(-0.864853\pi\) |
0.202336 | − | 0.979316i | \(-0.435147\pi\) | |||||||
\(578\) | 5.95213 | − | 9.59929i | 0.247576 | − | 0.399278i | ||||
\(579\) | 22.4268 | − | 3.55206i | 0.932027 | − | 0.147619i | ||||
\(580\) | −24.0121 | − | 14.2784i | −0.997050 | − | 0.592878i | ||||
\(581\) | 28.8419 | + | 4.56810i | 1.19656 | + | 0.189517i | ||||
\(582\) | 38.7691 | + | 33.4662i | 1.60703 | + | 1.38722i | ||||
\(583\) | 71.3195 | + | 11.2959i | 2.95375 | + | 0.467828i | ||||
\(584\) | −18.1131 | − | 4.65204i | −0.749524 | − | 0.192503i | ||||
\(585\) | 6.03589 | + | 13.6428i | 0.249553 | + | 0.564061i | ||||
\(586\) | −6.88326 | − | 1.69087i | −0.284345 | − | 0.0698490i | ||||
\(587\) | 38.9538 | − | 12.6569i | 1.60780 | − | 0.522405i | 0.638778 | − | 0.769391i | \(-0.279440\pi\) |
0.969019 | + | 0.246986i | \(0.0794403\pi\) | |||||||
\(588\) | −13.0137 | − | 26.2191i | −0.536675 | − | 1.08126i | ||||
\(589\) | 12.5319 | − | 6.38532i | 0.516368 | − | 0.263103i | ||||
\(590\) | −16.1359 | + | 12.1877i | −0.664303 | + | 0.501758i | ||||
\(591\) | 28.8834 | − | 9.38478i | 1.18810 | − | 0.386038i | ||||
\(592\) | −16.4156 | + | 21.6225i | −0.674678 | + | 0.888677i | ||||
\(593\) | 14.5376 | + | 14.5376i | 0.596988 | + | 0.596988i | 0.939510 | − | 0.342522i | \(-0.111281\pi\) |
−0.342522 | + | 0.939510i | \(0.611281\pi\) | |||||||
\(594\) | −10.4498 | − | 0.877751i | −0.428762 | − | 0.0360146i | ||||
\(595\) | −36.4625 | + | 16.1318i | −1.49482 | + | 0.661341i | ||||
\(596\) | −0.876430 | + | 0.274610i | −0.0359000 | + | 0.0112485i | ||||
\(597\) | 4.21310 | + | 3.06099i | 0.172431 | + | 0.125278i | ||||
\(598\) | 8.31985 | − | 5.03841i | 0.340224 | − | 0.206036i | ||||
\(599\) | − | 14.1843i | − | 0.579557i | −0.957094 | − | 0.289778i | \(-0.906418\pi\) | ||
0.957094 | − | 0.289778i | \(-0.0935816\pi\) | |||||||
\(600\) | 7.31489 | − | 35.4069i | 0.298629 | − | 1.44548i | ||||
\(601\) | 30.4286i | 1.24121i | 0.784125 | + | 0.620603i | \(0.213112\pi\) | ||||
−0.784125 | + | 0.620603i | \(0.786888\pi\) | |||||||
\(602\) | 17.1632 | + | 28.3414i | 0.699521 | + | 1.15511i | ||||
\(603\) | 4.41203 | + | 3.20553i | 0.179672 | + | 0.130539i | ||||
\(604\) | 37.1437 | + | 19.4205i | 1.51136 | + | 0.790210i | ||||
\(605\) | 27.3195 | + | 30.4848i | 1.11070 | + | 1.23938i | ||||
\(606\) | 1.64026 | − | 19.5278i | 0.0666312 | − | 0.793261i | ||||
\(607\) | −1.63044 | − | 1.63044i | −0.0661776 | − | 0.0661776i | 0.673243 | − | 0.739421i | \(-0.264901\pi\) |
−0.739421 | + | 0.673243i | \(0.764901\pi\) | |||||||
\(608\) | 5.87238 | + | 27.6437i | 0.238156 | + | 1.12110i | ||||
\(609\) | −54.1801 | + | 17.6042i | −2.19549 | + | 0.713357i | ||||
\(610\) | −0.405876 | − | 21.8477i | −0.0164334 | − | 0.884587i | ||||
\(611\) | −2.22261 | + | 1.13248i | −0.0899174 | + | 0.0458152i | ||||
\(612\) | 33.5016 | + | 11.2763i | 1.35422 | + | 0.455818i | ||||
\(613\) | −10.5518 | + | 3.42849i | −0.426183 | + | 0.138475i | −0.514252 | − | 0.857639i | \(-0.671930\pi\) |
0.0880688 | + | 0.996114i | \(0.471930\pi\) | |||||||
\(614\) | −5.75121 | + | 23.4123i | −0.232100 | + | 0.944844i | ||||
\(615\) | 8.88473 | + | 5.15742i | 0.358267 | + | 0.207967i | ||||
\(616\) | 47.0160 | − | 27.8006i | 1.89433 | − | 1.12012i | ||||
\(617\) | 22.5060 | + | 3.56460i | 0.906058 | + | 0.143505i | 0.592037 | − | 0.805911i | \(-0.298324\pi\) |
0.314021 | + | 0.949416i | \(0.398324\pi\) | |||||||
\(618\) | 2.89934 | − | 3.35876i | 0.116629 | − | 0.135109i | ||||
\(619\) | −8.91437 | − | 1.41190i | −0.358299 | − | 0.0567489i | −0.0253097 | − | 0.999680i | \(-0.508057\pi\) |
−0.332989 | + | 0.942931i | \(0.608057\pi\) | |||||||
\(620\) | −12.5638 | − | 0.820631i | −0.504574 | − | 0.0329573i | ||||
\(621\) | 4.93116 | − | 0.781020i | 0.197881 | − | 0.0313412i | ||||
\(622\) | −20.2955 | − | 12.5844i | −0.813775 | − | 0.504589i | ||||
\(623\) | −18.2851 | − | 35.8866i | −0.732578 | − | 1.43776i | ||||
\(624\) | 5.57529 | + | 18.4727i | 0.223190 | + | 0.739499i | ||||
\(625\) | 16.5533 | + | 18.7347i | 0.662132 | + | 0.749387i | ||||
\(626\) | 17.8780 | − | 20.7108i | 0.714547 | − | 0.827770i | ||||
\(627\) | −21.3659 | + | 65.7574i | −0.853271 | + | 2.62610i | ||||
\(628\) | −8.45983 | + | 16.1803i | −0.337584 | + | 0.645663i | ||||
\(629\) | 33.5080 | − | 5.30715i | 1.33605 | − | 0.211610i | ||||
\(630\) | −24.0392 | − | 31.8267i | −0.957744 | − | 1.26801i | ||||
\(631\) | 6.71806 | − | 4.88096i | 0.267442 | − | 0.194308i | −0.445979 | − | 0.895043i | \(-0.647145\pi\) |
0.713421 | + | 0.700735i | \(0.247145\pi\) | |||||||
\(632\) | −15.9275 | + | 3.55902i | −0.633563 | + | 0.141570i | ||||
\(633\) | 4.12749 | − | 26.0599i | 0.164053 | − | 1.03579i | ||||
\(634\) | 21.7168 | − | 8.86183i | 0.862483 | − | 0.351948i | ||||
\(635\) | 0.571804 | + | 2.15419i | 0.0226913 | + | 0.0854864i | ||||
\(636\) | 11.3768 | − | 67.2443i | 0.451121 | − | 2.66641i | ||||
\(637\) | −10.2735 | + | 3.33806i | −0.407050 | + | 0.132259i | ||||
\(638\) | −18.0693 | − | 44.2805i | −0.715370 | − | 1.75308i | ||||
\(639\) | 16.7827 | − | 51.6520i | 0.663915 | − | 2.04332i | ||||
\(640\) | 8.12933 | − | 23.9565i | 0.321340 | − | 0.946964i | ||||
\(641\) | 8.27858 | + | 25.4789i | 0.326984 | + | 1.00635i | 0.970537 | + | 0.240952i | \(0.0774598\pi\) |
−0.643553 | + | 0.765402i | \(0.722540\pi\) | |||||||
\(642\) | −11.7546 | + | 9.93296i | −0.463919 | + | 0.392023i | ||||
\(643\) | − | 41.3740i | − | 1.63163i | −0.578312 | − | 0.815816i | \(-0.696288\pi\) | ||
0.578312 | − | 0.815816i | \(-0.303712\pi\) | |||||||
\(644\) | −18.5803 | + | 18.1934i | −0.732167 | + | 0.716922i | ||||
\(645\) | 25.0573 | + | 27.9605i | 0.986631 | + | 1.10094i | ||||
\(646\) | 18.6108 | − | 30.0146i | 0.732234 | − | 1.18091i | ||||
\(647\) | −6.68889 | + | 1.05942i | −0.262968 | + | 0.0416500i | −0.286526 | − | 0.958073i | \(-0.592500\pi\) |
0.0235584 | + | 0.999722i | \(0.492500\pi\) | |||||||
\(648\) | 1.89280 | − | 20.0083i | 0.0743561 | − | 0.786000i | ||||
\(649\) | −34.6174 | −1.35885 | ||||||||
\(650\) | −12.5322 | − | 4.57872i | −0.491555 | − | 0.179592i | ||||
\(651\) | −18.1547 | + | 18.1547i | −0.711539 | + | 0.711539i | ||||
\(652\) | 35.1802 | + | 5.95203i | 1.37776 | + | 0.233099i | ||||
\(653\) | −26.3421 | − | 19.1387i | −1.03085 | − | 0.748954i | −0.0623693 | − | 0.998053i | \(-0.519866\pi\) |
−0.968478 | + | 0.249099i | \(0.919866\pi\) | |||||||
\(654\) | 54.1813 | − | 12.7067i | 2.11866 | − | 0.496873i | ||||
\(655\) | −6.03821 | + | 15.6205i | −0.235932 | + | 0.610344i | ||||
\(656\) | 5.72532 | + | 4.34662i | 0.223536 | + | 0.169707i | ||||
\(657\) | −16.5306 | + | 16.5306i | −0.644920 | + | 0.644920i | ||||
\(658\) | 5.09399 | − | 4.30455i | 0.198584 | − | 0.167809i | ||||
\(659\) | 2.21346 | + | 1.12782i | 0.0862243 | + | 0.0439335i | 0.496571 | − | 0.867996i | \(-0.334592\pi\) |
−0.410347 | + | 0.911930i | \(0.634592\pi\) | |||||||
\(660\) | 46.5251 | − | 40.8199i | 1.81099 | − | 1.58891i | ||||
\(661\) | 40.4287 | − | 20.5994i | 1.57249 | − | 0.801225i | 0.572665 | − | 0.819789i | \(-0.305910\pi\) |
0.999828 | + | 0.0185643i | \(0.00590955\pi\) | |||||||
\(662\) | 25.1871 | + | 10.5884i | 0.978925 | + | 0.411530i | ||||
\(663\) | 10.9472 | − | 21.4850i | 0.425153 | − | 0.834409i | ||||
\(664\) | 23.0509 | + | 2.18063i | 0.894549 | + | 0.0846249i | ||||
\(665\) | −36.4417 | + | 16.1226i | −1.41315 | + | 0.625208i | ||||
\(666\) | 12.8221 | + | 31.4217i | 0.496846 | + | 1.21757i | ||||
\(667\) | 13.3835 | + | 18.4208i | 0.518211 | + | 0.713256i | ||||
\(668\) | 10.0123 | − | 13.4802i | 0.387386 | − | 0.521563i | ||||
\(669\) | −14.9674 | − | 2.37061i | −0.578674 | − | 0.0916529i | ||||
\(670\) | −4.80242 | + | 0.852354i | −0.185534 | + | 0.0329293i | ||||
\(671\) | 21.9878 | − | 30.2637i | 0.848831 | − | 1.16832i | ||||
\(672\) | −25.7887 | − | 44.6797i | −0.994819 | − | 1.72356i | ||||
\(673\) | 30.4494 | − | 15.5148i | 1.17374 | − | 0.598050i | 0.245269 | − | 0.969455i | \(-0.421124\pi\) |
0.928471 | + | 0.371405i | \(0.121124\pi\) | |||||||
\(674\) | −1.35429 | + | 1.56888i | −0.0521653 | + | 0.0604311i | ||||
\(675\) | −5.06803 | − | 4.60649i | −0.195069 | − | 0.177304i | ||||
\(676\) | −18.6767 | + | 2.75702i | −0.718336 | + | 0.106039i | ||||
\(677\) | −15.0007 | + | 46.1673i | −0.576522 | + | 1.77435i | 0.0544132 | + | 0.998519i | \(0.482671\pi\) |
−0.630936 | + | 0.775835i | \(0.717329\pi\) | |||||||
\(678\) | −11.5158 | + | 2.70071i | −0.442260 | + | 0.103720i | ||||
\(679\) | −29.7017 | + | 40.8809i | −1.13985 | + | 1.56887i | ||||
\(680\) | −28.0521 | + | 14.5791i | −1.07575 | + | 0.559081i | ||||
\(681\) | −39.7445 | − | 54.7036i | −1.52301 | − | 2.09625i | ||||
\(682\) | −16.3160 | − | 14.0843i | −0.624771 | − | 0.539314i | ||||
\(683\) | −30.0456 | + | 21.8294i | −1.14966 | + | 0.835278i | −0.988436 | − | 0.151639i | \(-0.951545\pi\) |
−0.161226 | + | 0.986917i | \(0.551545\pi\) | |||||||
\(684\) | 33.4824 | + | 11.2699i | 1.28023 | + | 0.430914i | ||||
\(685\) | −10.8203 | − | 8.80422i | −0.413424 | − | 0.336392i | ||||
\(686\) | −5.50274 | + | 3.33240i | −0.210096 | + | 0.127232i | ||||
\(687\) | −21.1872 | + | 41.5822i | −0.808342 | + | 1.58646i | ||||
\(688\) | 14.9914 | + | 21.5742i | 0.571541 | + | 0.822508i | ||||
\(689\) | −23.9366 | − | 7.77748i | −0.911912 | − | 0.296298i | ||||
\(690\) | −16.8747 | + | 24.1572i | −0.642407 | + | 0.919647i | ||||
\(691\) | −10.5193 | + | 20.6453i | −0.400173 | + | 0.785384i | −0.999890 | − | 0.0148283i | \(-0.995280\pi\) |
0.599717 | + | 0.800212i | \(0.295280\pi\) | |||||||
\(692\) | −8.13266 | + | 7.96332i | −0.309157 | + | 0.302720i | ||||
\(693\) | − | 68.2802i | − | 2.59375i | ||||||
\(694\) | −8.28357 | − | 9.80276i | −0.314440 | − | 0.372108i | ||||
\(695\) | −0.735504 | − | 2.77091i | −0.0278993 | − | 0.105107i | ||||
\(696\) | −41.9995 | + | 16.6253i | −1.59199 | + | 0.630179i | ||||
\(697\) | −1.40526 | − | 8.87245i | −0.0532280 | − | 0.336068i | ||||
\(698\) | 9.80986 | − | 5.94074i | 0.371309 | − | 0.224860i | ||||
\(699\) | −44.0723 | − | 44.0723i | −1.66697 | − | 1.66697i | ||||
\(700\) | 35.4156 | + | 4.26783i | 1.33858 | + | 0.161309i | ||||
\(701\) | −10.1806 | + | 10.1806i | −0.384516 | + | 0.384516i | −0.872726 | − | 0.488210i | \(-0.837650\pi\) |
0.488210 | + | 0.872726i | \(0.337650\pi\) | |||||||
\(702\) | 3.54961 | + | 0.871960i | 0.133972 | + | 0.0329100i | ||||
\(703\) | 33.4889 | − | 5.30412i | 1.26306 | − | 0.200048i | ||||
\(704\) | 35.8232 | − | 24.3378i | 1.35014 | − | 0.917267i | ||||
\(705\) | 4.76971 | − | 5.86194i | 0.179638 | − | 0.220774i | ||||
\(706\) | 15.9956 | + | 1.34358i | 0.602004 | + | 0.0505663i | ||||
\(707\) | 19.3348 | 0.727161 | ||||||||
\(708\) | −0.343954 | + | 32.6938i | −0.0129266 | + | 1.22871i | ||||
\(709\) | −39.8769 | − | 20.3183i | −1.49761 | − | 0.763070i | −0.502759 | − | 0.864427i | \(-0.667682\pi\) |
−0.994850 | + | 0.101357i | \(0.967682\pi\) | |||||||
\(710\) | 22.8518 | + | 42.8618i | 0.857611 | + | 1.60857i | ||||
\(711\) | −6.30451 | + | 19.4033i | −0.236438 | + | 0.727680i | ||||
\(712\) | −16.2544 | − | 27.4892i | −0.609159 | − | 1.03020i | ||||
\(713\) | 9.14330 | + | 4.65874i | 0.342419 | + | 0.174471i | ||||
\(714\) | −15.3793 | + | 62.6066i | −0.575554 | + | 2.34299i | ||||
\(715\) | −12.3953 | − | 19.1854i | −0.463558 | − | 0.717494i | ||||
\(716\) | 37.2000 | + | 12.5212i | 1.39023 | + | 0.467939i | ||||
\(717\) | −0.278318 | − | 0.383071i | −0.0103940 | − | 0.0143061i | ||||
\(718\) | 1.57650 | + | 21.4749i | 0.0588344 | + | 0.801437i | ||||
\(719\) | 3.64810 | − | 2.65050i | 0.136051 | − | 0.0988470i | −0.517678 | − | 0.855575i | \(-0.673204\pi\) |
0.653729 | + | 0.756728i | \(0.273204\pi\) | |||||||
\(720\) | −20.6059 | − | 23.9903i | −0.767938 | − | 0.894067i | ||||
\(721\) | 3.54172 | + | 2.57321i | 0.131900 | + | 0.0958313i | ||||
\(722\) | 4.44032 | − | 7.16112i | 0.165252 | − | 0.266509i | ||||
\(723\) | −30.2575 | − | 9.83126i | −1.12529 | − | 0.365628i | ||||
\(724\) | −2.93155 | − | 2.17738i | −0.108950 | − | 0.0809216i | ||||
\(725\) | 8.22536 | − | 30.1316i | 0.305482 | − | 1.11906i | ||||
\(726\) | 66.0096 | − | 4.84585i | 2.44985 | − | 0.179846i | ||||
\(727\) | 18.0021 | + | 35.3311i | 0.667660 | + | 1.31036i | 0.937679 | + | 0.347502i | \(0.112970\pi\) |
−0.270019 | + | 0.962855i | \(0.587030\pi\) | |||||||
\(728\) | −17.7016 | + | 7.00709i | −0.656066 | + | 0.259700i | ||||
\(729\) | −28.8245 | − | 20.9423i | −1.06758 | − | 0.775639i | ||||
\(730\) | −0.388357 | − | 20.9047i | −0.0143737 | − | 0.773716i | ||||
\(731\) | 5.13582 | − | 32.4263i | 0.189955 | − | 1.19933i | ||||
\(732\) | −28.3635 | − | 21.0667i | −1.04835 | − | 0.778649i | ||||
\(733\) | 6.88605 | − | 5.00301i | 0.254342 | − | 0.184790i | −0.453307 | − | 0.891354i | \(-0.649756\pi\) |
0.707649 | + | 0.706564i | \(0.249756\pi\) | |||||||
\(734\) | 6.15318 | − | 14.6368i | 0.227118 | − | 0.540256i | ||||
\(735\) | 24.3715 | − | 21.8409i | 0.898955 | − | 0.805614i | ||||
\(736\) | −13.7986 | + | 15.3212i | −0.508624 | + | 0.564747i | ||||
\(737\) | −7.43977 | − | 3.79075i | −0.274048 | − | 0.139634i | ||||
\(738\) | 8.32003 | − | 3.39511i | 0.306264 | − | 0.124976i | ||||
\(739\) | −9.71069 | − | 19.0583i | −0.357214 | − | 0.701071i | 0.640550 | − | 0.767917i | \(-0.278707\pi\) |
−0.997763 | + | 0.0668456i | \(0.978707\pi\) | |||||||
\(740\) | −28.1939 | − | 11.2409i | −1.03643 | − | 0.413222i | ||||
\(741\) | 10.9409 | − | 21.4727i | 0.401924 | − | 0.788820i | ||||
\(742\) | 67.0530 | + | 5.63222i | 2.46159 | + | 0.206765i | ||||
\(743\) | 8.14942 | + | 8.14942i | 0.298973 | + | 0.298973i | 0.840612 | − | 0.541638i | \(-0.182196\pi\) |
−0.541638 | + | 0.840612i | \(0.682196\pi\) | |||||||
\(744\) | −13.4637 | + | 15.2694i | −0.493605 | + | 0.559803i | ||||
\(745\) | −0.557243 | − | 0.862499i | −0.0204158 | − | 0.0315995i | ||||
\(746\) | −12.5744 | + | 20.2793i | −0.460381 | + | 0.742479i | ||||
\(747\) | 17.0131 | − | 23.4165i | 0.622475 | − | 0.856763i | ||||
\(748\) | −53.3629 | − | 9.02830i | −1.95114 | − | 0.330107i | ||||
\(749\) | −10.7367 | − | 10.7367i | −0.392309 | − | 0.392309i | ||||
\(750\) | 40.3334 | − | 2.67586i | 1.47277 | − | 0.0977084i | ||||
\(751\) | − | 24.3397i | − | 0.888170i | −0.895985 | − | 0.444085i | \(-0.853529\pi\) | ||
0.895985 | − | 0.444085i | \(-0.146471\pi\) | |||||||
\(752\) | 3.81702 | − | 3.65969i | 0.139192 | − | 0.133455i | ||||
\(753\) | 7.34637 | + | 46.3831i | 0.267716 | + | 1.69030i | ||||
\(754\) | 3.80613 | + | 16.2293i | 0.138611 | + | 0.591035i | ||||
\(755\) | −9.85052 | + | 45.8146i | −0.358497 | + | 1.66736i | ||||
\(756\) | −9.77168 | − | 0.102803i | −0.355393 | − | 0.00373890i | ||||
\(757\) | −3.98470 | −0.144826 | −0.0724132 | − | 0.997375i | \(-0.523070\pi\) | ||||
−0.0724132 | + | 0.997375i | \(0.523070\pi\) | |||||||
\(758\) | 20.3086 | + | 1.70585i | 0.737642 | + | 0.0619594i | ||||
\(759\) | −47.9767 | + | 15.5886i | −1.74144 | + | 0.565829i | ||||
\(760\) | −28.0360 | + | 14.5707i | −1.01697 | + | 0.528535i | ||||
\(761\) | −12.4238 | − | 4.03675i | −0.450363 | − | 0.146332i | 0.0750487 | − | 0.997180i | \(-0.476089\pi\) |
−0.525412 | + | 0.850848i | \(0.676089\pi\) | |||||||
\(762\) | 3.32208 | + | 1.39657i | 0.120346 | + | 0.0505923i | ||||
\(763\) | 16.9676 | + | 52.2209i | 0.614268 | + | 1.89052i | ||||
\(764\) | −37.9315 | − | 6.41751i | −1.37231 | − | 0.232178i | ||||
\(765\) | −2.16088 | + | 39.4616i | −0.0781267 | + | 1.42674i | ||||
\(766\) | −24.5929 | − | 10.3386i | −0.888576 | − | 0.373548i | ||||
\(767\) | 11.9174 | + | 1.88754i | 0.430313 | + | 0.0681550i | ||||
\(768\) | −22.6295 | − | 34.0744i | −0.816573 | − | 1.22955i | ||||
\(769\) | −4.33395 | − | 5.96516i | −0.156286 | − | 0.215109i | 0.723693 | − | 0.690122i | \(-0.242443\pi\) |
−0.879979 | + | 0.475013i | \(0.842443\pi\) | |||||||
\(770\) | 43.9757 | + | 42.3716i | 1.58478 | + | 1.52697i | ||||
\(771\) | 1.33519 | + | 8.43006i | 0.0480857 | + | 0.303601i | ||||
\(772\) | 5.31120 | + | 16.9509i | 0.191154 | + | 0.610077i | ||||
\(773\) | −23.5292 | − | 7.64510i | −0.846286 | − | 0.274975i | −0.146396 | − | 0.989226i | \(-0.546767\pi\) |
−0.699890 | + | 0.714251i | \(0.746767\pi\) | |||||||
\(774\) | 32.7534 | − | 2.40447i | 1.17730 | − | 0.0864269i | ||||
\(775\) | −2.86211 | − | 13.7826i | −0.102810 | − | 0.495087i | ||||
\(776\) | −21.4712 | + | 33.8278i | −0.770771 | + | 1.21435i | ||||
\(777\) | −55.1480 | + | 28.0993i | −1.97842 | + | 1.00806i | ||||
\(778\) | −26.3469 | + | 6.17893i | −0.944581 | + | 0.221525i | ||||
\(779\) | −1.40445 | − | 8.86738i | −0.0503198 | − | 0.317707i | ||||
\(780\) | −18.2425 | + | 11.5159i | −0.653186 | + | 0.412336i | ||||
\(781\) | −13.0080 | + | 82.1294i | −0.465463 | + | 2.93882i | ||||
\(782\) | 25.6977 | − | 1.88650i | 0.918947 | − | 0.0674610i | ||||
\(783\) | −1.33853 | + | 8.45117i | −0.0478353 | + | 0.302020i | ||||
\(784\) | 18.8049 | − | 13.0671i | 0.671603 | − | 0.466680i | ||||
\(785\) | −19.9574 | − | 4.29101i | −0.712311 | − | 0.153153i | ||||
\(786\) | 14.0265 | + | 23.1618i | 0.500309 | + | 0.826153i | ||||
\(787\) | −9.38897 | − | 28.8963i | −0.334681 | − | 1.03004i | −0.966879 | − | 0.255235i | \(-0.917847\pi\) |
0.632199 | − | 0.774806i | \(-0.282153\pi\) | |||||||
\(788\) | 10.5629 | + | 21.2815i | 0.376289 | + | 0.758121i | ||||
\(789\) | −0.631873 | − | 1.24012i | −0.0224953 | − | 0.0441495i | ||||
\(790\) | −8.58436 | − | 16.1012i | −0.305418 | − | 0.572856i | ||||
\(791\) | −3.60631 | − | 11.0991i | −0.128226 | − | 0.394638i | ||||
\(792\) | −3.39555 | − | 54.0329i | −0.120656 | − | 1.91998i | ||||
\(793\) | −9.21970 | + | 9.21970i | −0.327401 | + | 0.327401i | ||||
\(794\) | −14.5528 | − | 17.2217i | −0.516459 | − | 0.611176i | ||||
\(795\) | 75.8506 | − | 7.79246i | 2.69014 | − | 0.276370i | ||||
\(796\) | −1.88766 | + | 3.61034i | −0.0669063 | + | 0.127965i | ||||
\(797\) | −22.3242 | + | 30.7266i | −0.790764 | + | 1.08839i | 0.203249 | + | 0.979127i | \(0.434850\pi\) |
−0.994013 | + | 0.109266i | \(0.965150\pi\) | |||||||
\(798\) | −15.3705 | + | 62.5708i | −0.544108 | + | 2.21498i | ||||
\(799\) | −6.60824 | −0.233783 | ||||||||
\(800\) | 28.2381 | + | 1.61611i | 0.998366 | + | 0.0571380i | ||||
\(801\) | −39.9219 | −1.41057 | ||||||||
\(802\) | 5.29813 | − | 21.5679i | 0.187083 | − | 0.761588i | ||||
\(803\) | 21.0388 | − | 28.9574i | 0.742442 | − | 1.02188i | ||||
\(804\) | −3.65403 | + | 6.98870i | −0.128868 | + | 0.246473i | ||||
\(805\) | −25.1445 | − | 14.5959i | −0.886227 | − | 0.514438i | ||||
\(806\) | 4.84900 | + | 5.73830i | 0.170799 | + | 0.202123i | ||||
\(807\) | 4.17075 | − | 4.17075i | 0.146817 | − | 0.146817i | ||||
\(808\) | 15.3005 | − | 0.961515i | 0.538268 | − | 0.0338260i | ||||
\(809\) | −0.996520 | − | 3.06697i | −0.0350358 | − | 0.107829i | 0.932009 | − | 0.362435i | \(-0.118054\pi\) |
−0.967045 | + | 0.254606i | \(0.918054\pi\) | |||||||
\(810\) | 22.1241 | − | 3.92667i | 0.777361 | − | 0.137969i | ||||
\(811\) | −22.4971 | − | 44.1530i | −0.789979 | − | 1.55042i | −0.834241 | − | 0.551400i | \(-0.814094\pi\) |
0.0442623 | − | 0.999020i | \(-0.485906\pi\) | |||||||
\(812\) | −19.8142 | − | 39.9202i | −0.695341 | − | 1.40093i | ||||
\(813\) | −20.0712 | − | 61.7728i | −0.703928 | − | 2.16647i | ||||
\(814\) | −26.9159 | − | 44.4458i | −0.943401 | − | 1.55782i | ||||
\(815\) | 4.07679 | + | 39.6828i | 0.142804 | + | 1.39003i | ||||
\(816\) | −9.05683 | + | 50.3080i | −0.317053 | + | 1.76113i | ||||
\(817\) | 5.13289 | − | 32.4078i | 0.179577 | − | 1.13380i | ||||
\(818\) | 12.2780 | − | 0.901344i | 0.429291 | − | 0.0315148i | ||||
\(819\) | −3.72302 | + | 23.5062i | −0.130093 | + | 0.821373i | ||||
\(820\) | −2.97642 | + | 7.46535i | −0.103941 | + | 0.260701i | ||||
\(821\) | 2.02194 | + | 12.7661i | 0.0705663 | + | 0.445538i | 0.997521 | + | 0.0703656i | \(0.0224166\pi\) |
−0.926955 | + | 0.375173i | \(0.877583\pi\) | |||||||
\(822\) | −21.9592 | + | 5.14993i | −0.765916 | + | 0.179625i | ||||
\(823\) | 4.15568 | − | 2.11743i | 0.144858 | − | 0.0738088i | −0.380059 | − | 0.924962i | \(-0.624096\pi\) |
0.524917 | + | 0.851153i | \(0.324096\pi\) | |||||||
\(824\) | 2.93067 | + | 1.86016i | 0.102095 | + | 0.0648017i | ||||
\(825\) | 57.8582 | + | 37.9604i | 2.01436 | + | 1.32161i | ||||
\(826\) | −32.1725 | + | 2.36182i | −1.11942 | + | 0.0821782i | ||||
\(827\) | −14.5076 | − | 4.71380i | −0.504478 | − | 0.163915i | 0.0457114 | − | 0.998955i | \(-0.485445\pi\) |
−0.550190 | + | 0.835040i | \(0.685445\pi\) | |||||||
\(828\) | 7.70675 | + | 24.5964i | 0.267828 | + | 0.854784i | ||||
\(829\) | −2.54332 | − | 16.0579i | −0.0883330 | − | 0.557713i | −0.991672 | − | 0.128786i | \(-0.958892\pi\) |
0.903339 | − | 0.428927i | \(-0.141108\pi\) | |||||||
\(830\) | 4.52380 | + | 25.4884i | 0.157023 | + | 0.884717i | ||||
\(831\) | 7.68614 | + | 10.5791i | 0.266629 | + | 0.366983i | ||||
\(832\) | −13.6596 | + | 6.42529i | −0.473560 | + | 0.222757i | ||||
\(833\) | −28.2640 | − | 4.47658i | −0.979290 | − | 0.155104i | ||||
\(834\) | −4.27314 | − | 1.79639i | −0.147967 | − | 0.0622037i | ||||
\(835\) | 17.5109 | + | 6.76895i | 0.605990 | + | 0.234249i | ||||
\(836\) | −53.3324 | − | 9.02314i | −1.84454 | − | 0.312072i | ||||
\(837\) | 1.19166 | + | 3.66754i | 0.0411896 | + | 0.126769i | ||||
\(838\) | −20.2879 | − | 8.52882i | −0.700834 | − | 0.294623i | ||||
\(839\) | −13.8277 | − | 4.49291i | −0.477387 | − | 0.155112i | 0.0604329 | − | 0.998172i | \(-0.480752\pi\) |
−0.537820 | + | 0.843060i | \(0.680752\pi\) | |||||||
\(840\) | 40.4541 | − | 41.1111i | 1.39580 | − | 1.41847i | ||||
\(841\) | −9.53221 | + | 3.09720i | −0.328697 | + | 0.106800i | ||||
\(842\) | 8.54115 | + | 0.717427i | 0.294347 | + | 0.0247242i | ||||
\(843\) | −75.2739 | −2.59257 | ||||||||
\(844\) | 20.6400 | + | 0.217143i | 0.710459 | + | 0.00747436i | ||||
\(845\) | −8.53996 | − | 19.3027i | −0.293784 | − | 0.664034i | ||||
\(846\) | −1.50935 | − | 6.43585i | −0.0518926 | − | 0.221269i | ||||
\(847\) | 10.2157 | + | 64.4994i | 0.351016 | + | 2.21623i | ||||
\(848\) | 53.3419 | + | 1.12249i | 1.83177 | + | 0.0385464i | ||||
\(849\) | − | 68.6233i | − | 2.35515i | ||||||
\(850\) | −24.0742 | − | 25.8798i | −0.825740 | − | 0.887670i | ||||
\(851\) | 17.4925 | + | 17.4925i | 0.599634 | + | 0.599634i | ||||
\(852\) | 77.4364 | + | 13.1012i | 2.65293 | + | 0.448841i | ||||
\(853\) | −11.6229 | + | 15.9975i | −0.397960 | + | 0.547745i | −0.960230 | − | 0.279209i | \(-0.909928\pi\) |
0.562271 | + | 0.826953i | \(0.309928\pi\) | |||||||
\(854\) | 18.3701 | − | 29.6264i | 0.628612 | − | 1.01379i | ||||
\(855\) | −2.15964 | + | 39.4390i | −0.0738582 | + | 1.34879i | ||||
\(856\) | −9.03030 | − | 7.96244i | −0.308649 | − | 0.272151i | ||||
\(857\) | 7.64344 | + | 7.64344i | 0.261095 | + | 0.261095i | 0.825499 | − | 0.564404i | \(-0.190894\pi\) |
−0.564404 | + | 0.825499i | \(0.690894\pi\) | |||||||
\(858\) | −36.8021 | − | 3.09125i | −1.25640 | − | 0.105533i | ||||
\(859\) | 0.765742 | − | 1.50285i | 0.0261268 | − | 0.0512767i | −0.877574 | − | 0.479441i | \(-0.840840\pi\) |
0.903701 | + | 0.428164i | \(0.140840\pi\) | |||||||
\(860\) | −18.7767 | + | 22.5869i | −0.640281 | + | 0.770207i | ||||
\(861\) | 7.44030 | + | 14.6024i | 0.253565 | + | 0.497649i | ||||
\(862\) | 8.75686 | − | 3.57336i | 0.298260 | − | 0.121709i | ||||
\(863\) | 21.7117 | + | 11.0627i | 0.739075 | + | 0.376577i | 0.782641 | − | 0.622473i | \(-0.213872\pi\) |
−0.0435664 | + | 0.999051i | \(0.513872\pi\) | |||||||
\(864\) | −7.73784 | + | 0.404590i | −0.263247 | + | 0.0137644i | ||||
\(865\) | −11.0058 | − | 6.38867i | −0.374209 | − | 0.217221i | ||||
\(866\) | 3.85258 | − | 9.16430i | 0.130916 | − | 0.311416i | ||||
\(867\) | 16.5186 | − | 12.0015i | 0.561001 | − | 0.407591i | ||||
\(868\) | −16.1245 | − | 11.9763i | −0.547302 | − | 0.406503i | ||||
\(869\) | 4.88652 | − | 30.8523i | 0.165764 | − | 1.04659i | ||||
\(870\) | −30.4380 | − | 40.2985i | −1.03195 | − | 1.36625i | ||||
\(871\) | 2.35453 | + | 1.71067i | 0.0797803 | + | 0.0579638i | ||||
\(872\) | 16.0241 | + | 40.4807i | 0.542644 | + | 1.37085i | ||||
\(873\) | 22.7389 | + | 44.6277i | 0.769596 | + | 1.51042i | ||||
\(874\) | 25.6830 | − | 1.88542i | 0.868740 | − | 0.0637752i | ||||
\(875\) | 5.96176 | + | 39.4342i | 0.201544 | + | 1.33312i | ||||
\(876\) | −27.1393 | − | 20.1574i | −0.916951 | − | 0.681056i | ||||
\(877\) | 3.44501 | + | 1.11935i | 0.116330 | + | 0.0377978i | 0.366603 | − | 0.930377i | \(-0.380521\pi\) |
−0.250274 | + | 0.968175i | \(0.580521\pi\) | |||||||
\(878\) | −9.72493 | + | 15.6839i | −0.328201 | + | 0.529305i | ||||
\(879\) | −10.3659 | − | 7.53130i | −0.349635 | − | 0.254024i | ||||
\(880\) | 36.9069 | + | 31.3435i | 1.24413 | + | 1.05659i | ||||
\(881\) | 43.7569 | − | 31.7912i | 1.47421 | − | 1.07107i | 0.494840 | − | 0.868984i | \(-0.335227\pi\) |
0.979367 | − | 0.202090i | \(-0.0647733\pi\) | |||||||
\(882\) | −2.09583 | − | 28.5491i | −0.0705702 | − | 0.961300i | ||||
\(883\) | 4.16937 | + | 5.73865i | 0.140311 | + | 0.193121i | 0.873389 | − | 0.487023i | \(-0.161917\pi\) |
−0.733079 | + | 0.680144i | \(0.761917\pi\) | |||||||
\(884\) | 17.8785 | + | 6.01774i | 0.601319 | + | 0.202398i | ||||
\(885\) | −35.3313 | + | 9.37828i | −1.18765 | + | 0.315247i | ||||
\(886\) | 5.79896 | − | 23.6067i | 0.194820 | − | 0.793082i | ||||
\(887\) | 8.56815 | + | 4.36569i | 0.287690 | + | 0.146586i | 0.591880 | − | 0.806026i | \(-0.298386\pi\) |
−0.304190 | + | 0.952611i | \(0.598386\pi\) | |||||||
\(888\) | −42.2435 | + | 24.9786i | −1.41760 | + | 0.838228i | ||||
\(889\) | −1.09873 | + | 3.38155i | −0.0368503 | + | 0.113413i | ||||
\(890\) | 24.7738 | − | 25.7116i | 0.830418 | − | 0.861856i | ||||
\(891\) | 34.2740 | + | 17.4635i | 1.14822 | + | 0.585048i | ||||
\(892\) | 0.124715 | − | 11.8545i | 0.00417577 | − | 0.396919i | ||||
\(893\) | −6.60446 | −0.221010 | ||||||||
\(894\) | −1.65447 | − | 0.138970i | −0.0553339 | − | 0.00464786i | ||||
\(895\) | −2.39943 | + | 43.8180i | −0.0802042 | + | 1.46468i | ||||
\(896\) | 31.6326 | − | 25.0630i | 1.05677 | − | 0.837296i | ||||
\(897\) | 17.3665 | − | 2.75058i | 0.579850 | − | 0.0918392i | ||||
\(898\) | −45.0571 | − | 11.0682i | −1.50357 | − | 0.369352i | ||||
\(899\) | −12.4358 | + | 12.4358i | −0.414758 | + | 0.414758i | ||||
\(900\) | 19.7060 | − | 29.3573i | 0.656867 | − | 0.978576i | ||||
\(901\) | −47.1459 | − | 47.1459i | −1.57066 | − | 1.57066i | ||||
\(902\) | −11.7686 | + | 7.12694i | −0.391852 | + | 0.237301i | ||||
\(903\) | 9.36979 | + | 59.1585i | 0.311807 | + | 1.96867i | ||||
\(904\) | −3.40577 | − | 8.60382i | −0.113274 | − | 0.286159i | ||||
\(905\) | 1.47205 | − | 3.80811i | 0.0489326 | − | 0.126586i | ||||
\(906\) | 48.9048 | + | 57.8739i | 1.62475 | + | 1.92273i | ||||
\(907\) | − | 14.5422i | − | 0.482864i | −0.970418 | − | 0.241432i | \(-0.922383\pi\) | ||
0.970418 | − | 0.241432i | \(-0.0776171\pi\) | |||||||
\(908\) | 37.7960 | − | 37.0090i | 1.25430 | − | 1.22819i | ||||
\(909\) | 8.70057 | − | 17.0758i | 0.288580 | − | 0.566369i | ||||
\(910\) | −12.8288 | − | 16.9847i | −0.425270 | − | 0.563037i | ||||
\(911\) | 23.8417 | + | 7.74664i | 0.789911 | + | 0.256658i | 0.676066 | − | 0.736841i | \(-0.263683\pi\) |
0.113845 | + | 0.993499i | \(0.463683\pi\) | |||||||
\(912\) | −9.05165 | + | 50.2792i | −0.299730 | + | 1.66491i | ||||
\(913\) | −20.1191 | + | 39.4859i | −0.665845 | + | 1.30679i | ||||
\(914\) | −9.14319 | + | 5.53701i | −0.302430 | + | 0.183148i | ||||
\(915\) | 14.2425 | − | 36.8446i | 0.470843 | − | 1.21804i | ||||
\(916\) | −34.6022 | − | 11.6468i | −1.14329 | − | 0.384820i | ||||
\(917\) | −21.6139 | + | 15.7034i | −0.713755 | + | 0.518573i | ||||
\(918\) | 7.32978 | + | 6.32721i | 0.241919 | + | 0.208829i | ||||
\(919\) | −1.82386 | − | 2.51033i | −0.0601637 | − | 0.0828082i | 0.777875 | − | 0.628419i | \(-0.216298\pi\) |
−0.838039 | + | 0.545611i | \(0.816298\pi\) | |||||||
\(920\) | −20.6237 | − | 10.2999i | −0.679944 | − | 0.339578i | ||||
\(921\) | −25.6165 | + | 35.2581i | −0.844093 | + | 1.16179i | ||||
\(922\) | 36.0431 | − | 8.45291i | 1.18701 | − | 0.278382i | ||||
\(923\) | 8.95631 | − | 27.5647i | 0.294800 | − | 0.907302i | ||||
\(924\) | 97.6802 | − | 14.4194i | 3.21344 | − | 0.474362i | ||||
\(925\) | 3.70536 | − | 33.7318i | 0.121831 | − | 1.10910i | ||||
\(926\) | −34.1321 | + | 39.5405i | −1.12165 | + | 1.29938i | ||||
\(927\) | 3.86632 | − | 1.96999i | 0.126987 | − | 0.0647029i | ||||
\(928\) | −17.6650 | − | 30.6052i | −0.579882 | − | 1.00466i | ||||
\(929\) | −16.9099 | + | 23.2745i | −0.554797 | + | 0.763613i | −0.990653 | − | 0.136404i | \(-0.956446\pi\) |
0.435856 | + | 0.900016i | \(0.356446\pi\) | |||||||
\(930\) | −20.4681 | − | 9.95452i | −0.671174 | − | 0.326422i | ||||
\(931\) | −28.2478 | − | 4.47402i | −0.925786 | − | 0.146630i | ||||
\(932\) | 29.0737 | − | 39.1439i | 0.952341 | − | 1.28220i | ||||
\(933\) | −25.3743 | − | 34.9248i | −0.830718 | − | 1.14339i | ||||
\(934\) | −16.5798 | − | 40.6302i | −0.542506 | − | 1.32946i | ||||
\(935\) | −6.18385 | − | 60.1926i | −0.202234 | − | 1.96851i | ||||
\(936\) | −1.77722 | + | 18.7866i | −0.0580903 | + | 0.614058i | ||||
\(937\) | −1.28075 | + | 2.51362i | −0.0418404 | + | 0.0821164i | −0.910980 | − | 0.412450i | \(-0.864673\pi\) |
0.869140 | + | 0.494566i | \(0.164673\pi\) | |||||||
\(938\) | −7.17295 | − | 3.01543i | −0.234205 | − | 0.0984574i | ||||
\(939\) | 44.0684 | − | 22.4540i | 1.43812 | − | 0.732758i | ||||
\(940\) | 5.08164 | + | 3.02170i | 0.165745 | + | 0.0985571i | ||||
\(941\) | −2.33257 | − | 1.18851i | −0.0760398 | − | 0.0387442i | 0.415557 | − | 0.909567i | \(-0.363587\pi\) |
−0.491597 | + | 0.870823i | \(0.663587\pi\) | |||||||
\(942\) | −25.2106 | + | 21.3036i | −0.821405 | + | 0.694108i | ||||
\(943\) | 4.63176 | − | 4.63176i | 0.150831 | − | 0.150831i | ||||
\(944\) | −25.3419 | + | 3.46893i | −0.824810 | + | 0.112904i | ||||
\(945\) | −2.80302 | − | 10.5600i | −0.0911823 | − | 0.343517i | ||||
\(946\) | −48.9548 | + | 11.4810i | −1.59166 | + | 0.373280i | ||||
\(947\) | −7.39253 | − | 5.37098i | −0.240225 | − | 0.174534i | 0.461159 | − | 0.887318i | \(-0.347434\pi\) |
−0.701383 | + | 0.712784i | \(0.747434\pi\) | |||||||
\(948\) | −29.0893 | − | 4.92153i | −0.944778 | − | 0.159844i | ||||
\(949\) | −8.82175 | + | 8.82175i | −0.286366 | + | 0.286366i | ||||
\(950\) | −24.0605 | − | 25.8650i | −0.780625 | − | 0.839172i | ||||
\(951\) | 42.4008 | 1.37494 | ||||||||
\(952\) | −50.2100 | − | 4.74989i | −1.62731 | − | 0.153945i | ||||
\(953\) | −29.7339 | + | 4.70939i | −0.963176 | + | 0.152552i | −0.618167 | − | 0.786047i | \(-0.712124\pi\) |
−0.345010 | + | 0.938599i | \(0.612124\pi\) | |||||||
\(954\) | 35.1477 | − | 56.6843i | 1.13795 | − | 1.83522i | ||||
\(955\) | −4.39562 | − | 42.7862i | −0.142239 | − | 1.38453i | ||||
\(956\) | 0.264673 | − | 0.259162i | 0.00856013 | − | 0.00838189i | ||||
\(957\) | − | 86.4553i | − | 2.79470i | ||||||
\(958\) | −20.7176 | + | 17.5069i | −0.669356 | + | 0.565622i | ||||
\(959\) | −6.87681 | − | 21.1647i | −0.222064 | − | 0.683442i | ||||
\(960\) | 29.9685 | − | 34.5447i | 0.967231 | − | 1.11493i | ||||
\(961\) | 7.13022 | − | 21.9446i | 0.230007 | − | 0.707889i | ||||
\(962\) | 6.84265 | + | 16.7686i | 0.220616 | + | 0.540640i | ||||
\(963\) | −14.3137 | + | 4.65080i | −0.461252 | + | 0.149870i | ||||
\(964\) | 4.15189 | − | 24.5403i | 0.133723 | − | 0.790389i | ||||
\(965\) | −16.6815 | + | 10.7776i | −0.536996 | + | 0.346942i | ||||
\(966\) | −43.5247 | + | 17.7609i | −1.40038 | + | 0.571446i | ||||
\(967\) | −3.43380 | + | 21.6802i | −0.110424 | + | 0.697188i | 0.868915 | + | 0.494961i | \(0.164818\pi\) |
−0.979339 | + | 0.202227i | \(0.935182\pi\) | |||||||
\(968\) | 11.2916 | + | 50.5330i | 0.362927 | + | 1.62419i | ||||
\(969\) | 51.6496 | − | 37.5256i | 1.65922 | − | 1.20550i | ||||
\(970\) | −42.8531 | − | 13.0490i | −1.37593 | − | 0.418977i | ||||
\(971\) | 20.0018 | − | 3.16797i | 0.641887 | − | 0.101665i | 0.172998 | − | 0.984922i | \(-0.444654\pi\) |
0.468889 | + | 0.883257i | \(0.344654\pi\) | |||||||
\(972\) | 20.6415 | − | 39.4790i | 0.662077 | − | 1.26629i | ||||
\(973\) | 1.41328 | − | 4.34964i | 0.0453078 | − | 0.139443i | ||||
\(974\) | −17.1254 | + | 19.8390i | −0.548734 | + | 0.635683i | ||||
\(975\) | −17.8485 | − | 16.2230i | −0.571609 | − | 0.519553i | ||||
\(976\) | 13.0637 | − | 24.3581i | 0.418159 | − | 0.779684i | ||||
\(977\) | −2.13766 | − | 4.19539i | −0.0683898 | − | 0.134223i | 0.854281 | − | 0.519812i | \(-0.173998\pi\) |
−0.922670 | + | 0.385590i | \(0.873998\pi\) | |||||||
\(978\) | 54.8174 | + | 33.9900i | 1.75287 | + | 1.08688i | ||||
\(979\) | 60.3711 | − | 9.56185i | 1.92947 | − | 0.305598i | ||||
\(980\) | 19.6876 | + | 16.3665i | 0.628898 | + | 0.522809i | ||||
\(981\) | 53.7549 | + | 8.51394i | 1.71626 | + | 0.271829i | ||||
\(982\) | 36.3084 | − | 42.0616i | 1.15865 | − | 1.34224i | ||||
\(983\) | −51.4084 | − | 8.14229i | −1.63967 | − | 0.259699i | −0.732596 | − | 0.680664i | \(-0.761691\pi\) |
−0.907077 | + | 0.420965i | \(0.861691\pi\) | |||||||
\(984\) | 6.61399 | + | 11.1855i | 0.210846 | + | 0.356580i | ||||
\(985\) | −19.7818 | + | 17.7278i | −0.630301 | + | 0.564855i | ||||
\(986\) | −10.5347 | + | 42.8850i | −0.335492 | + | 1.36574i | ||||
\(987\) | 11.4660 | − | 3.72553i | 0.364967 | − | 0.118585i | ||||
\(988\) | 17.8683 | + | 6.01430i | 0.568466 | + | 0.191340i | ||||
\(989\) | 21.3302 | − | 10.8683i | 0.678262 | − | 0.345592i | ||||
\(990\) | 57.2099 | − | 19.7708i | 1.81825 | − | 0.628357i | ||||
\(991\) | 49.7180 | − | 16.1544i | 1.57934 | − | 0.513160i | 0.617457 | − | 0.786605i | \(-0.288163\pi\) |
0.961888 | + | 0.273444i | \(0.0881630\pi\) | |||||||
\(992\) | −13.3556 | − | 8.67550i | −0.424040 | − | 0.275447i | ||||
\(993\) | 34.9249 | + | 34.9249i | 1.10831 | + | 1.10831i | ||||
\(994\) | −6.48590 | + | 77.2162i | −0.205720 | + | 2.44915i | ||||
\(995\) | −4.45314 | − | 0.957462i | −0.141174 | − | 0.0303536i | ||||
\(996\) | 37.0919 | + | 19.3935i | 1.17530 | + | 0.614505i | ||||
\(997\) | 10.8001 | + | 7.84675i | 0.342043 | + | 0.248509i | 0.745523 | − | 0.666479i | \(-0.232200\pi\) |
−0.403480 | + | 0.914988i | \(0.632200\pi\) | |||||||
\(998\) | −10.2777 | − | 16.9715i | −0.325336 | − | 0.537223i | ||||
\(999\) | 9.29635i | 0.294124i |
(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 | 400.2.bm.a.203.25 | yes | 464 | |
16.3 | odd | 4 | 400.2.bd.a.3.53 | ✓ | 464 | ||
25.17 | odd | 20 | 400.2.bd.a.267.53 | yes | 464 | ||
400.67 | even | 20 | inner | 400.2.bm.a.67.25 | yes | 464 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
400.2.bd.a.3.53 | ✓ | 464 | 16.3 | odd | 4 | ||
400.2.bd.a.267.53 | yes | 464 | 25.17 | odd | 20 | ||
400.2.bm.a.67.25 | yes | 464 | 400.67 | even | 20 | inner | |
400.2.bm.a.203.25 | yes | 464 | 1.1 | even | 1 | trivial |