Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(49,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 11, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.49");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.r (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 169.3 | ||
Character | \(\chi\) | \(=\) | 690.169 |
Dual form | 690.2.r.b.49.3 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{3}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.989821 | − | 0.142315i | −0.699909 | − | 0.100632i | ||||
\(3\) | 0.909632 | − | 0.415415i | 0.525176 | − | 0.239840i | ||||
\(4\) | 0.959493 | + | 0.281733i | 0.479746 | + | 0.140866i | ||||
\(5\) | −0.0689747 | + | 2.23500i | −0.0308464 | + | 0.999524i | ||||
\(6\) | −0.959493 | + | 0.281733i | −0.391711 | + | 0.115017i | ||||
\(7\) | −1.33127 | + | 2.07150i | −0.503173 | + | 0.782953i | −0.996203 | − | 0.0870595i | \(-0.972253\pi\) |
0.493030 | + | 0.870012i | \(0.335889\pi\) | |||||||
\(8\) | −0.909632 | − | 0.415415i | −0.321603 | − | 0.146871i | ||||
\(9\) | 0.654861 | − | 0.755750i | 0.218287 | − | 0.251917i | ||||
\(10\) | 0.386347 | − | 2.20244i | 0.122174 | − | 0.696472i | ||||
\(11\) | 0.195345 | + | 1.35866i | 0.0588988 | + | 0.409650i | 0.997847 | + | 0.0655907i | \(0.0208932\pi\) |
−0.938948 | + | 0.344060i | \(0.888198\pi\) | |||||||
\(12\) | 0.989821 | − | 0.142315i | 0.285737 | − | 0.0410828i | ||||
\(13\) | −1.28134 | − | 1.99380i | −0.355379 | − | 0.552981i | 0.616829 | − | 0.787097i | \(-0.288417\pi\) |
−0.972209 | + | 0.234116i | \(0.924780\pi\) | |||||||
\(14\) | 1.61253 | − | 1.86095i | 0.430966 | − | 0.497361i | ||||
\(15\) | 0.865713 | + | 2.06168i | 0.223526 | + | 0.532325i | ||||
\(16\) | 0.841254 | + | 0.540641i | 0.210313 | + | 0.135160i | ||||
\(17\) | 1.22064 | + | 4.15712i | 0.296049 | + | 1.00825i | 0.964410 | + | 0.264413i | \(0.0851780\pi\) |
−0.668361 | + | 0.743837i | \(0.733004\pi\) | |||||||
\(18\) | −0.755750 | + | 0.654861i | −0.178132 | + | 0.154352i | ||||
\(19\) | −1.41790 | − | 0.416332i | −0.325288 | − | 0.0955132i | 0.115011 | − | 0.993364i | \(-0.463310\pi\) |
−0.440299 | + | 0.897851i | \(0.645128\pi\) | |||||||
\(20\) | −0.695854 | + | 2.12504i | −0.155598 | + | 0.475173i | ||||
\(21\) | −0.350435 | + | 2.43733i | −0.0764713 | + | 0.531869i | ||||
\(22\) | − | 1.37263i | − | 0.292645i | ||||||
\(23\) | −3.09115 | + | 3.66671i | −0.644549 | + | 0.764563i | ||||
\(24\) | −1.00000 | −0.204124 | ||||||||
\(25\) | −4.99048 | − | 0.308318i | −0.998097 | − | 0.0616635i | ||||
\(26\) | 0.984548 | + | 2.15586i | 0.193086 | + | 0.422799i | ||||
\(27\) | 0.281733 | − | 0.959493i | 0.0542195 | − | 0.184655i | ||||
\(28\) | −1.86095 | + | 1.61253i | −0.351687 | + | 0.304739i | ||||
\(29\) | −4.32057 | + | 1.26863i | −0.802309 | + | 0.235579i | −0.657082 | − | 0.753819i | \(-0.728209\pi\) |
−0.145227 | + | 0.989398i | \(0.546391\pi\) | |||||||
\(30\) | −0.563493 | − | 2.16390i | −0.102879 | − | 0.395073i | ||||
\(31\) | −0.724175 | + | 1.58572i | −0.130066 | + | 0.284804i | −0.963449 | − | 0.267891i | \(-0.913673\pi\) |
0.833384 | + | 0.552695i | \(0.186401\pi\) | |||||||
\(32\) | −0.755750 | − | 0.654861i | −0.133599 | − | 0.115764i | ||||
\(33\) | 0.742099 | + | 1.15473i | 0.129183 | + | 0.201012i | ||||
\(34\) | −0.616596 | − | 4.28852i | −0.105745 | − | 0.735475i | ||||
\(35\) | −4.53798 | − | 3.11828i | −0.767059 | − | 0.527085i | ||||
\(36\) | 0.841254 | − | 0.540641i | 0.140209 | − | 0.0901068i | ||||
\(37\) | −4.86649 | − | 4.21684i | −0.800047 | − | 0.693245i | 0.155580 | − | 0.987823i | \(-0.450275\pi\) |
−0.955627 | + | 0.294579i | \(0.904821\pi\) | |||||||
\(38\) | 1.34422 | + | 0.613883i | 0.218061 | + | 0.0995849i | ||||
\(39\) | −1.99380 | − | 1.28134i | −0.319264 | − | 0.205178i | ||||
\(40\) | 0.991196 | − | 2.00438i | 0.156722 | − | 0.316920i | ||||
\(41\) | 7.09843 | + | 8.19203i | 1.10859 | + | 1.27938i | 0.956730 | + | 0.290978i | \(0.0939806\pi\) |
0.151859 | + | 0.988402i | \(0.451474\pi\) | |||||||
\(42\) | 0.693737 | − | 2.36265i | 0.107046 | − | 0.364565i | ||||
\(43\) | 1.80187 | − | 0.822885i | 0.274782 | − | 0.125489i | −0.273258 | − | 0.961941i | \(-0.588101\pi\) |
0.548040 | + | 0.836452i | \(0.315374\pi\) | |||||||
\(44\) | −0.195345 | + | 1.35866i | −0.0294494 | + | 0.204825i | ||||
\(45\) | 1.64393 | + | 1.51574i | 0.245063 | + | 0.225954i | ||||
\(46\) | 3.58151 | − | 3.18948i | 0.528065 | − | 0.470263i | ||||
\(47\) | 6.48708i | 0.946238i | 0.880998 | + | 0.473119i | \(0.156872\pi\) | ||||
−0.880998 | + | 0.473119i | \(0.843128\pi\) | |||||||
\(48\) | 0.989821 | + | 0.142315i | 0.142868 | + | 0.0205414i | ||||
\(49\) | 0.389082 | + | 0.851971i | 0.0555831 | + | 0.121710i | ||||
\(50\) | 4.89581 | + | 1.01540i | 0.692372 | + | 0.143599i | ||||
\(51\) | 2.83726 | + | 3.27438i | 0.397296 | + | 0.458504i | ||||
\(52\) | −0.667716 | − | 2.27403i | −0.0925956 | − | 0.315352i | ||||
\(53\) | 4.17973 | − | 6.50379i | 0.574130 | − | 0.893364i | −0.425804 | − | 0.904815i | \(-0.640009\pi\) |
0.999934 | + | 0.0114513i | \(0.00364515\pi\) | |||||||
\(54\) | −0.415415 | + | 0.909632i | −0.0565308 | + | 0.123785i | ||||
\(55\) | −3.05008 | + | 0.342885i | −0.411272 | + | 0.0462346i | ||||
\(56\) | 2.07150 | − | 1.33127i | 0.276816 | − | 0.177899i | ||||
\(57\) | −1.46272 | + | 0.210307i | −0.193741 | + | 0.0278558i | ||||
\(58\) | 4.45714 | − | 0.640839i | 0.585251 | − | 0.0841463i | ||||
\(59\) | −10.6767 | + | 6.86149i | −1.38999 | + | 0.893290i | −0.999625 | − | 0.0273722i | \(-0.991286\pi\) |
−0.390361 | + | 0.920662i | \(0.627650\pi\) | |||||||
\(60\) | 0.249802 | + | 2.22207i | 0.0322492 | + | 0.286868i | ||||
\(61\) | 3.05942 | − | 6.69919i | 0.391718 | − | 0.857743i | −0.606325 | − | 0.795217i | \(-0.707357\pi\) |
0.998043 | − | 0.0625263i | \(-0.0199157\pi\) | |||||||
\(62\) | 0.942475 | − | 1.46652i | 0.119694 | − | 0.186248i | ||||
\(63\) | 0.693737 | + | 2.36265i | 0.0874026 | + | 0.297666i | ||||
\(64\) | 0.654861 | + | 0.755750i | 0.0818576 | + | 0.0944687i | ||||
\(65\) | 4.54453 | − | 2.72627i | 0.563680 | − | 0.338153i | ||||
\(66\) | −0.570210 | − | 1.24859i | −0.0701880 | − | 0.153690i | ||||
\(67\) | 8.92842 | + | 1.28371i | 1.09078 | + | 0.156831i | 0.664153 | − | 0.747597i | \(-0.268792\pi\) |
0.426628 | + | 0.904427i | \(0.359702\pi\) | |||||||
\(68\) | 4.33262i | 0.525408i | ||||||||
\(69\) | −1.28860 | + | 4.61947i | −0.155129 | + | 0.556119i | ||||
\(70\) | 4.04802 | + | 3.73236i | 0.483830 | + | 0.446102i | ||||
\(71\) | −0.0401170 | + | 0.279020i | −0.00476102 | + | 0.0331136i | −0.992063 | − | 0.125738i | \(-0.959870\pi\) |
0.987302 | + | 0.158852i | \(0.0507792\pi\) | |||||||
\(72\) | −0.909632 | + | 0.415415i | −0.107201 | + | 0.0489571i | ||||
\(73\) | −2.12963 | + | 7.25284i | −0.249254 | + | 0.848881i | 0.735883 | + | 0.677109i | \(0.236767\pi\) |
−0.985137 | + | 0.171772i | \(0.945051\pi\) | |||||||
\(74\) | 4.21684 | + | 4.86649i | 0.490198 | + | 0.565719i | ||||
\(75\) | −4.66758 | + | 1.79267i | −0.538966 | + | 0.206999i | ||||
\(76\) | −1.24317 | − | 0.798936i | −0.142601 | − | 0.0916443i | ||||
\(77\) | −3.07451 | − | 1.40408i | −0.350373 | − | 0.160010i | ||||
\(78\) | 1.79115 | + | 1.55204i | 0.202808 | + | 0.175734i | ||||
\(79\) | 3.05383 | − | 1.96258i | 0.343583 | − | 0.220807i | −0.357457 | − | 0.933930i | \(-0.616356\pi\) |
0.701040 | + | 0.713122i | \(0.252720\pi\) | |||||||
\(80\) | −1.26636 | + | 1.84291i | −0.141583 | + | 0.206044i | ||||
\(81\) | −0.142315 | − | 0.989821i | −0.0158128 | − | 0.109980i | ||||
\(82\) | −5.86033 | − | 9.11886i | −0.647166 | − | 1.00701i | ||||
\(83\) | 10.9029 | + | 9.44742i | 1.19675 | + | 1.03699i | 0.998382 | + | 0.0568618i | \(0.0181095\pi\) |
0.198368 | + | 0.980128i | \(0.436436\pi\) | |||||||
\(84\) | −1.02292 | + | 2.23987i | −0.111609 | + | 0.244390i | ||||
\(85\) | −9.37537 | + | 2.44140i | −1.01690 | + | 0.264807i | ||||
\(86\) | −1.90064 | + | 0.558077i | −0.204951 | + | 0.0601790i | ||||
\(87\) | −3.40312 | + | 2.94882i | −0.364852 | + | 0.316146i | ||||
\(88\) | 0.386714 | − | 1.31703i | 0.0412239 | − | 0.140396i | ||||
\(89\) | −4.93258 | − | 10.8009i | −0.522853 | − | 1.14489i | −0.968348 | − | 0.249604i | \(-0.919700\pi\) |
0.445495 | − | 0.895284i | \(-0.353028\pi\) | |||||||
\(90\) | −1.41149 | − | 1.73427i | −0.148784 | − | 0.182808i | ||||
\(91\) | 5.83596 | 0.611775 | ||||||||
\(92\) | −3.99897 | + | 2.64731i | −0.416921 | + | 0.276001i | ||||
\(93\) | 1.74326i | 0.180767i | ||||||||
\(94\) | 0.923208 | − | 6.42105i | 0.0952217 | − | 0.662281i | ||||
\(95\) | 1.02830 | − | 3.14029i | 0.105502 | − | 0.322187i | ||||
\(96\) | −0.959493 | − | 0.281733i | −0.0979278 | − | 0.0287542i | ||||
\(97\) | −1.25165 | + | 1.08456i | −0.127086 | + | 0.110121i | −0.716085 | − | 0.698013i | \(-0.754068\pi\) |
0.588999 | + | 0.808134i | \(0.299522\pi\) | |||||||
\(98\) | −0.263874 | − | 0.898671i | −0.0266553 | − | 0.0907795i | ||||
\(99\) | 1.15473 | + | 0.742099i | 0.116055 | + | 0.0745837i | ||||
\(100\) | −4.70147 | − | 1.70181i | −0.470147 | − | 0.170181i | ||||
\(101\) | −5.18852 | + | 5.98787i | −0.516277 | + | 0.595815i | −0.952695 | − | 0.303929i | \(-0.901701\pi\) |
0.436418 | + | 0.899744i | \(0.356247\pi\) | |||||||
\(102\) | −2.34239 | − | 3.64483i | −0.231931 | − | 0.360892i | ||||
\(103\) | −1.42372 | + | 0.204700i | −0.140284 | + | 0.0201697i | −0.212099 | − | 0.977248i | \(-0.568030\pi\) |
0.0718153 | + | 0.997418i | \(0.477121\pi\) | |||||||
\(104\) | 0.337291 | + | 2.34591i | 0.0330741 | + | 0.230036i | ||||
\(105\) | −5.42327 | − | 0.951339i | −0.529257 | − | 0.0928411i | ||||
\(106\) | −5.06277 | + | 5.84275i | −0.491740 | + | 0.567498i | ||||
\(107\) | 13.9152 | + | 6.35486i | 1.34523 | + | 0.614347i | 0.952284 | − | 0.305213i | \(-0.0987276\pi\) |
0.392949 | + | 0.919560i | \(0.371455\pi\) | |||||||
\(108\) | 0.540641 | − | 0.841254i | 0.0520232 | − | 0.0809497i | ||||
\(109\) | −6.43715 | + | 1.89012i | −0.616567 | + | 0.181040i | −0.575078 | − | 0.818099i | \(-0.695028\pi\) |
−0.0414890 | + | 0.999139i | \(0.513210\pi\) | |||||||
\(110\) | 3.06783 | + | 0.0946767i | 0.292506 | + | 0.00902707i | ||||
\(111\) | −6.17846 | − | 1.81416i | −0.586433 | − | 0.172192i | ||||
\(112\) | −2.23987 | + | 1.02292i | −0.211648 | + | 0.0966565i | ||||
\(113\) | 15.8181 | + | 2.27429i | 1.48804 | + | 0.213948i | 0.837881 | − | 0.545852i | \(-0.183794\pi\) |
0.650157 | + | 0.759800i | \(0.274703\pi\) | |||||||
\(114\) | 1.47776 | 0.138405 | ||||||||
\(115\) | −7.98191 | − | 7.16164i | −0.744317 | − | 0.667827i | ||||
\(116\) | −4.50297 | −0.418090 | ||||||||
\(117\) | −2.34591 | − | 0.337291i | −0.216880 | − | 0.0311826i | ||||
\(118\) | 11.5445 | − | 5.27220i | 1.06276 | − | 0.485345i | ||||
\(119\) | −10.2365 | − | 3.00570i | −0.938376 | − | 0.275532i | ||||
\(120\) | 0.0689747 | − | 2.23500i | 0.00629650 | − | 0.204027i | ||||
\(121\) | 8.74663 | − | 2.56824i | 0.795149 | − | 0.233477i | ||||
\(122\) | −3.98167 | + | 6.19560i | −0.360483 | + | 0.560923i | ||||
\(123\) | 9.86005 | + | 4.50294i | 0.889051 | + | 0.406016i | ||||
\(124\) | −1.14159 | + | 1.31746i | −0.102518 | + | 0.118312i | ||||
\(125\) | 1.03331 | − | 11.1325i | 0.0924219 | − | 0.995720i | ||||
\(126\) | −0.350435 | − | 2.43733i | −0.0312193 | − | 0.217135i | ||||
\(127\) | −0.0259523 | + | 0.00373137i | −0.00230289 | + | 0.000331106i | −0.143466 | − | 0.989655i | \(-0.545825\pi\) |
0.141163 | + | 0.989986i | \(0.454916\pi\) | |||||||
\(128\) | −0.540641 | − | 0.841254i | −0.0477863 | − | 0.0743570i | ||||
\(129\) | 1.29720 | − | 1.49705i | 0.114212 | − | 0.131808i | ||||
\(130\) | −4.88627 | + | 2.05177i | −0.428554 | + | 0.179952i | ||||
\(131\) | −4.63326 | − | 2.97762i | −0.404810 | − | 0.260156i | 0.322354 | − | 0.946619i | \(-0.395526\pi\) |
−0.727164 | + | 0.686463i | \(0.759162\pi\) | |||||||
\(132\) | 0.386714 | + | 1.31703i | 0.0336591 | + | 0.114632i | ||||
\(133\) | 2.75004 | − | 2.38292i | 0.238459 | − | 0.206626i | ||||
\(134\) | −8.65485 | − | 2.54129i | −0.747665 | − | 0.219534i | ||||
\(135\) | 2.12504 | + | 0.695854i | 0.182894 | + | 0.0598896i | ||||
\(136\) | 0.616596 | − | 4.28852i | 0.0528727 | − | 0.367738i | ||||
\(137\) | − | 12.0848i | − | 1.03247i | −0.856446 | − | 0.516236i | \(-0.827333\pi\) | ||
0.856446 | − | 0.516236i | \(-0.172667\pi\) | |||||||
\(138\) | 1.93290 | − | 4.38906i | 0.164540 | − | 0.373622i | ||||
\(139\) | 0.402122 | 0.0341076 | 0.0170538 | − | 0.999855i | \(-0.494571\pi\) | ||||
0.0170538 | + | 0.999855i | \(0.494571\pi\) | |||||||
\(140\) | −3.47564 | − | 4.27046i | −0.293745 | − | 0.360920i | ||||
\(141\) | 2.69483 | + | 5.90086i | 0.226946 | + | 0.496942i | ||||
\(142\) | 0.0794174 | − | 0.270471i | 0.00666456 | − | 0.0226974i | ||||
\(143\) | 2.45859 | − | 2.13038i | 0.205597 | − | 0.178151i | ||||
\(144\) | 0.959493 | − | 0.281733i | 0.0799577 | − | 0.0234777i | ||||
\(145\) | −2.53739 | − | 9.74399i | −0.210719 | − | 0.809194i | ||||
\(146\) | 3.14014 | − | 6.87594i | 0.259880 | − | 0.569057i | ||||
\(147\) | 0.707843 | + | 0.613349i | 0.0583819 | + | 0.0505882i | ||||
\(148\) | −3.48135 | − | 5.41708i | −0.286165 | − | 0.445281i | ||||
\(149\) | −0.204500 | − | 1.42233i | −0.0167533 | − | 0.116522i | 0.979729 | − | 0.200329i | \(-0.0642011\pi\) |
−0.996482 | + | 0.0838073i | \(0.973292\pi\) | |||||||
\(150\) | 4.87520 | − | 1.11015i | 0.398058 | − | 0.0906437i | ||||
\(151\) | −2.54526 | + | 1.63574i | −0.207130 | + | 0.133115i | −0.640093 | − | 0.768297i | \(-0.721104\pi\) |
0.432963 | + | 0.901412i | \(0.357468\pi\) | |||||||
\(152\) | 1.11681 | + | 0.967725i | 0.0905856 | + | 0.0784929i | ||||
\(153\) | 3.94109 | + | 1.79984i | 0.318618 | + | 0.145508i | ||||
\(154\) | 2.84340 | + | 1.82734i | 0.229127 | + | 0.147251i | ||||
\(155\) | −3.49414 | − | 1.72791i | −0.280656 | − | 0.138789i | ||||
\(156\) | −1.55204 | − | 1.79115i | −0.124263 | − | 0.143407i | ||||
\(157\) | 5.05034 | − | 17.1999i | 0.403061 | − | 1.37270i | −0.468955 | − | 0.883222i | \(-0.655369\pi\) |
0.872016 | − | 0.489478i | \(-0.162813\pi\) | |||||||
\(158\) | −3.30205 | + | 1.50800i | −0.262697 | + | 0.119970i | ||||
\(159\) | 1.10025 | − | 7.65238i | 0.0872552 | − | 0.606873i | ||||
\(160\) | 1.51574 | − | 1.64393i | 0.119830 | − | 0.129964i | ||||
\(161\) | −3.48044 | − | 11.2847i | −0.274297 | − | 0.889359i | ||||
\(162\) | 1.00000i | 0.0785674i | ||||||||
\(163\) | 6.10641 | + | 0.877969i | 0.478291 | + | 0.0687679i | 0.377244 | − | 0.926114i | \(-0.376872\pi\) |
0.101047 | + | 0.994882i | \(0.467781\pi\) | |||||||
\(164\) | 4.50294 | + | 9.86005i | 0.351620 | + | 0.769941i | ||||
\(165\) | −2.63201 | + | 1.57895i | −0.204902 | + | 0.122921i | ||||
\(166\) | −9.44742 | − | 10.9029i | −0.733262 | − | 0.846230i | ||||
\(167\) | −1.14521 | − | 3.90022i | −0.0886189 | − | 0.301808i | 0.903243 | − | 0.429130i | \(-0.141180\pi\) |
−0.991861 | + | 0.127322i | \(0.959362\pi\) | |||||||
\(168\) | 1.33127 | − | 2.07150i | 0.102710 | − | 0.159820i | ||||
\(169\) | 3.06698 | − | 6.71575i | 0.235922 | − | 0.516596i | ||||
\(170\) | 9.62739 | − | 1.08230i | 0.738387 | − | 0.0830083i | ||||
\(171\) | −1.24317 | + | 0.798936i | −0.0950675 | + | 0.0610962i | ||||
\(172\) | 1.96071 | − | 0.281908i | 0.149503 | − | 0.0214953i | ||||
\(173\) | 23.4795 | − | 3.37584i | 1.78511 | − | 0.256660i | 0.831035 | − | 0.556221i | \(-0.187749\pi\) |
0.954077 | + | 0.299560i | \(0.0968400\pi\) | |||||||
\(174\) | 3.78814 | − | 2.43449i | 0.287178 | − | 0.184558i | ||||
\(175\) | 7.28237 | − | 9.92733i | 0.550495 | − | 0.750435i | ||||
\(176\) | −0.570210 | + | 1.24859i | −0.0429812 | + | 0.0941158i | ||||
\(177\) | −6.86149 | + | 10.6767i | −0.515741 | + | 0.802509i | ||||
\(178\) | 3.34526 | + | 11.3929i | 0.250737 | + | 0.853933i | ||||
\(179\) | −5.54629 | − | 6.40076i | −0.414549 | − | 0.478416i | 0.509619 | − | 0.860400i | \(-0.329786\pi\) |
−0.924169 | + | 0.381984i | \(0.875241\pi\) | |||||||
\(180\) | 1.15031 | + | 1.91750i | 0.0857390 | + | 0.142922i | ||||
\(181\) | 1.43069 | + | 3.13277i | 0.106342 | + | 0.232857i | 0.955321 | − | 0.295570i | \(-0.0955095\pi\) |
−0.848979 | + | 0.528426i | \(0.822782\pi\) | |||||||
\(182\) | −5.77656 | − | 0.830544i | −0.428187 | − | 0.0615640i | ||||
\(183\) | − | 7.36472i | − | 0.544416i | ||||||
\(184\) | 4.33502 | − | 2.05125i | 0.319582 | − | 0.151220i | ||||
\(185\) | 9.76032 | − | 10.5858i | 0.717593 | − | 0.778282i | ||||
\(186\) | 0.248091 | − | 1.72551i | 0.0181909 | − | 0.126521i | ||||
\(187\) | −5.40965 | + | 2.47051i | −0.395593 | + | 0.180661i | ||||
\(188\) | −1.82762 | + | 6.22431i | −0.133293 | + | 0.453955i | ||||
\(189\) | 1.61253 | + | 1.86095i | 0.117294 | + | 0.135364i | ||||
\(190\) | −1.46475 | + | 2.96198i | −0.106264 | + | 0.214885i | ||||
\(191\) | −4.06963 | − | 2.61539i | −0.294468 | − | 0.189243i | 0.385062 | − | 0.922891i | \(-0.374180\pi\) |
−0.679530 | + | 0.733647i | \(0.737816\pi\) | |||||||
\(192\) | 0.909632 | + | 0.415415i | 0.0656470 | + | 0.0299800i | ||||
\(193\) | 0.149856 | + | 0.129851i | 0.0107868 | + | 0.00934686i | 0.660237 | − | 0.751057i | \(-0.270456\pi\) |
−0.649451 | + | 0.760404i | \(0.725001\pi\) | |||||||
\(194\) | 1.39326 | − | 0.895396i | 0.100030 | − | 0.0642857i | ||||
\(195\) | 3.00132 | − | 4.36777i | 0.214929 | − | 0.312783i | ||||
\(196\) | 0.133294 | + | 0.927077i | 0.00952097 | + | 0.0662198i | ||||
\(197\) | −10.3567 | − | 16.1154i | −0.737887 | − | 1.14817i | −0.983867 | − | 0.178900i | \(-0.942746\pi\) |
0.245980 | − | 0.969275i | \(-0.420890\pi\) | |||||||
\(198\) | −1.03736 | − | 0.898880i | −0.0737222 | − | 0.0638806i | ||||
\(199\) | −0.0983199 | + | 0.215290i | −0.00696971 | + | 0.0152615i | −0.913085 | − | 0.407770i | \(-0.866307\pi\) |
0.906115 | + | 0.423031i | \(0.139034\pi\) | |||||||
\(200\) | 4.41143 | + | 2.35358i | 0.311935 | + | 0.166423i | ||||
\(201\) | 8.65485 | − | 2.54129i | 0.610466 | − | 0.179249i | ||||
\(202\) | 5.98787 | − | 5.18852i | 0.421305 | − | 0.365063i | ||||
\(203\) | 3.12388 | − | 10.6389i | 0.219253 | − | 0.746707i | ||||
\(204\) | 1.79984 | + | 3.94109i | 0.126014 | + | 0.275932i | ||||
\(205\) | −18.7988 | + | 15.3000i | −1.31297 | + | 1.06860i | ||||
\(206\) | 1.43836 | 0.100216 | ||||||||
\(207\) | 0.746846 | + | 4.73732i | 0.0519094 | + | 0.329267i | ||||
\(208\) | − | 2.37004i | − | 0.164332i | ||||||
\(209\) | 0.288673 | − | 2.00777i | 0.0199679 | − | 0.138880i | ||||
\(210\) | 5.23268 | + | 1.71347i | 0.361089 | + | 0.118241i | ||||
\(211\) | 21.1066 | + | 6.19746i | 1.45304 | + | 0.426651i | 0.910545 | − | 0.413410i | \(-0.135662\pi\) |
0.542493 | + | 0.840060i | \(0.317480\pi\) | |||||||
\(212\) | 5.84275 | − | 5.06277i | 0.401282 | − | 0.347713i | ||||
\(213\) | 0.0794174 | + | 0.270471i | 0.00544159 | + | 0.0185324i | ||||
\(214\) | −12.8692 | − | 8.27052i | −0.879719 | − | 0.565361i | ||||
\(215\) | 1.71487 | + | 4.08394i | 0.116953 | + | 0.278522i | ||||
\(216\) | −0.654861 | + | 0.755750i | −0.0445576 | + | 0.0514222i | ||||
\(217\) | −2.32075 | − | 3.61115i | −0.157543 | − | 0.245141i | ||||
\(218\) | 6.64062 | − | 0.954777i | 0.449760 | − | 0.0646657i | ||||
\(219\) | 1.07576 | + | 7.48210i | 0.0726933 | + | 0.505593i | ||||
\(220\) | −3.02313 | − | 0.530311i | −0.203819 | − | 0.0357535i | ||||
\(221\) | 6.72442 | − | 7.76039i | 0.452333 | − | 0.522020i | ||||
\(222\) | 5.85739 | + | 2.67498i | 0.393122 | + | 0.179533i | ||||
\(223\) | −4.22368 | + | 6.57217i | −0.282838 | + | 0.440105i | −0.953382 | − | 0.301765i | \(-0.902424\pi\) |
0.670544 | + | 0.741870i | \(0.266061\pi\) | |||||||
\(224\) | 2.36265 | − | 0.693737i | 0.157861 | − | 0.0463522i | ||||
\(225\) | −3.50108 | + | 3.56965i | −0.233406 | + | 0.237977i | ||||
\(226\) | −15.3334 | − | 4.50229i | −1.01996 | − | 0.299488i | ||||
\(227\) | −21.6716 | + | 9.89707i | −1.43839 | + | 0.656892i | −0.973544 | − | 0.228499i | \(-0.926618\pi\) |
−0.464848 | + | 0.885390i | \(0.653891\pi\) | |||||||
\(228\) | −1.46272 | − | 0.210307i | −0.0968707 | − | 0.0139279i | ||||
\(229\) | 28.5773 | 1.88844 | 0.944220 | − | 0.329315i | \(-0.106818\pi\) | ||||
0.944220 | + | 0.329315i | \(0.106818\pi\) | |||||||
\(230\) | 6.88146 | + | 8.22469i | 0.453750 | + | 0.542320i | ||||
\(231\) | −3.37995 | −0.222385 | ||||||||
\(232\) | 4.45714 | + | 0.640839i | 0.292625 | + | 0.0420732i | ||||
\(233\) | −11.1534 | + | 5.09360i | −0.730686 | + | 0.333693i | −0.745779 | − | 0.666193i | \(-0.767923\pi\) |
0.0150934 | + | 0.999886i | \(0.495195\pi\) | |||||||
\(234\) | 2.27403 | + | 0.667716i | 0.148658 | + | 0.0436500i | ||||
\(235\) | −14.4987 | − | 0.447445i | −0.945788 | − | 0.0291881i | ||||
\(236\) | −12.1773 | + | 3.57558i | −0.792675 | + | 0.232750i | ||||
\(237\) | 1.96258 | − | 3.05383i | 0.127483 | − | 0.198368i | ||||
\(238\) | 9.70452 | + | 4.43191i | 0.629051 | + | 0.287278i | ||||
\(239\) | −12.3494 | + | 14.2519i | −0.798815 | + | 0.921882i | −0.998316 | − | 0.0580159i | \(-0.981523\pi\) |
0.199501 | + | 0.979898i | \(0.436068\pi\) | |||||||
\(240\) | −0.386347 | + | 2.20244i | −0.0249386 | + | 0.142167i | ||||
\(241\) | −0.323648 | − | 2.25102i | −0.0208480 | − | 0.145001i | 0.976739 | − | 0.214433i | \(-0.0687904\pi\) |
−0.997587 | + | 0.0694321i | \(0.977881\pi\) | |||||||
\(242\) | −9.02311 | + | 1.29733i | −0.580027 | + | 0.0833953i | ||||
\(243\) | −0.540641 | − | 0.841254i | −0.0346821 | − | 0.0539664i | ||||
\(244\) | 4.82287 | − | 5.56589i | 0.308752 | − | 0.356319i | ||||
\(245\) | −1.93099 | + | 0.810835i | −0.123367 | + | 0.0518024i | ||||
\(246\) | −9.11886 | − | 5.86033i | −0.581397 | − | 0.373641i | ||||
\(247\) | 0.986723 | + | 3.36047i | 0.0627837 | + | 0.213822i | ||||
\(248\) | 1.31746 | − | 1.14159i | 0.0836591 | − | 0.0724910i | ||||
\(249\) | 13.8422 | + | 4.06445i | 0.877216 | + | 0.257574i | ||||
\(250\) | −2.60711 | + | 10.8721i | −0.164888 | + | 0.687613i | ||||
\(251\) | 1.97882 | − | 13.7630i | 0.124902 | − | 0.868713i | −0.826976 | − | 0.562237i | \(-0.809941\pi\) |
0.951878 | − | 0.306476i | \(-0.0991499\pi\) | |||||||
\(252\) | 2.46240i | 0.155116i | ||||||||
\(253\) | −5.58565 | − | 3.48354i | −0.351167 | − | 0.219008i | ||||
\(254\) | 0.0262191 | 0.00164514 | ||||||||
\(255\) | −7.51394 | + | 6.11545i | −0.470541 | + | 0.382964i | ||||
\(256\) | 0.415415 | + | 0.909632i | 0.0259634 | + | 0.0568520i | ||||
\(257\) | 3.48678 | − | 11.8749i | 0.217500 | − | 0.740736i | −0.776380 | − | 0.630265i | \(-0.782946\pi\) |
0.993879 | − | 0.110470i | \(-0.0352357\pi\) | |||||||
\(258\) | −1.49705 | + | 1.29720i | −0.0932020 | + | 0.0807600i | ||||
\(259\) | 15.2138 | − | 4.46718i | 0.945340 | − | 0.277577i | ||||
\(260\) | 5.12853 | − | 1.33550i | 0.318058 | − | 0.0828240i | ||||
\(261\) | −1.87060 | + | 4.09604i | −0.115787 | + | 0.253539i | ||||
\(262\) | 4.16235 | + | 3.60669i | 0.257151 | + | 0.222822i | ||||
\(263\) | −6.51812 | − | 10.1424i | −0.401924 | − | 0.625406i | 0.580014 | − | 0.814606i | \(-0.303047\pi\) |
−0.981939 | + | 0.189200i | \(0.939411\pi\) | |||||||
\(264\) | −0.195345 | − | 1.35866i | −0.0120227 | − | 0.0836195i | ||||
\(265\) | 14.2477 | + | 9.79031i | 0.875229 | + | 0.601414i | ||||
\(266\) | −3.06117 | + | 1.96730i | −0.187693 | + | 0.120623i | ||||
\(267\) | −8.97367 | − | 7.77573i | −0.549180 | − | 0.475867i | ||||
\(268\) | 8.20509 | + | 3.74714i | 0.501206 | + | 0.228893i | ||||
\(269\) | −26.0600 | − | 16.7477i | −1.58890 | − | 1.02113i | −0.972265 | − | 0.233882i | \(-0.924857\pi\) |
−0.616640 | − | 0.787245i | \(-0.711507\pi\) | |||||||
\(270\) | −2.00438 | − | 0.991196i | −0.121983 | − | 0.0603223i | ||||
\(271\) | −2.59684 | − | 2.99691i | −0.157747 | − | 0.182050i | 0.671374 | − | 0.741118i | \(-0.265704\pi\) |
−0.829121 | + | 0.559069i | \(0.811159\pi\) | |||||||
\(272\) | −1.22064 | + | 4.15712i | −0.0740122 | + | 0.252062i | ||||
\(273\) | 5.30858 | − | 2.42435i | 0.321290 | − | 0.146728i | ||||
\(274\) | −1.71984 | + | 11.9618i | −0.103900 | + | 0.722638i | ||||
\(275\) | −0.555970 | − | 6.84059i | −0.0335263 | − | 0.412503i | ||||
\(276\) | −2.53786 | + | 4.06931i | −0.152761 | + | 0.244944i | ||||
\(277\) | 13.7227i | 0.824517i | 0.911067 | + | 0.412259i | \(0.135260\pi\) | ||||
−0.911067 | + | 0.412259i | \(0.864740\pi\) | |||||||
\(278\) | −0.398029 | − | 0.0572280i | −0.0238722 | − | 0.00343231i | ||||
\(279\) | 0.724175 | + | 1.58572i | 0.0433552 | + | 0.0949346i | ||||
\(280\) | 2.83252 | + | 4.72163i | 0.169275 | + | 0.282171i | ||||
\(281\) | 16.7123 | + | 19.2871i | 0.996974 | + | 1.15057i | 0.988594 | + | 0.150605i | \(0.0481222\pi\) |
0.00838045 | + | 0.999965i | \(0.497332\pi\) | |||||||
\(282\) | −1.82762 | − | 6.22431i | −0.108833 | − | 0.370652i | ||||
\(283\) | −1.73005 | + | 2.69201i | −0.102841 | + | 0.160024i | −0.888860 | − | 0.458178i | \(-0.848502\pi\) |
0.786019 | + | 0.618202i | \(0.212139\pi\) | |||||||
\(284\) | −0.117101 | + | 0.256416i | −0.00694867 | + | 0.0152155i | ||||
\(285\) | −0.369146 | − | 3.28368i | −0.0218663 | − | 0.194509i | ||||
\(286\) | −2.73675 | + | 1.75880i | −0.161827 | + | 0.104000i | ||||
\(287\) | −26.4197 | + | 3.79858i | −1.55951 | + | 0.224223i | ||||
\(288\) | −0.989821 | + | 0.142315i | −0.0583258 | + | 0.00838598i | ||||
\(289\) | −1.49037 | + | 0.957805i | −0.0876690 | + | 0.0563415i | ||||
\(290\) | 1.12485 | + | 10.0059i | 0.0660534 | + | 0.587568i | ||||
\(291\) | −0.688000 | + | 1.50651i | −0.0403313 | + | 0.0883132i | ||||
\(292\) | −4.08672 | + | 6.35907i | −0.239157 | + | 0.372136i | ||||
\(293\) | 7.80260 | + | 26.5732i | 0.455833 | + | 1.55242i | 0.791939 | + | 0.610600i | \(0.209072\pi\) |
−0.336106 | + | 0.941824i | \(0.609110\pi\) | |||||||
\(294\) | −0.613349 | − | 0.707843i | −0.0357713 | − | 0.0412822i | ||||
\(295\) | −14.5990 | − | 24.3357i | −0.849989 | − | 1.41688i | ||||
\(296\) | 2.67498 | + | 5.85739i | 0.155480 | + | 0.340454i | ||||
\(297\) | 1.35866 | + | 0.195345i | 0.0788373 | + | 0.0113351i | ||||
\(298\) | 1.43695i | 0.0832405i | ||||||||
\(299\) | 11.2715 | + | 1.46484i | 0.651848 | + | 0.0847136i | ||||
\(300\) | −4.98357 | + | 0.405041i | −0.287726 | + | 0.0233850i | ||||
\(301\) | −0.694169 | + | 4.82805i | −0.0400112 | + | 0.278284i | ||||
\(302\) | 2.75214 | − | 1.25686i | 0.158368 | − | 0.0723243i | ||||
\(303\) | −2.23219 | + | 7.60214i | −0.128236 | + | 0.436732i | ||||
\(304\) | −0.967725 | − | 1.11681i | −0.0555029 | − | 0.0640537i | ||||
\(305\) | 14.7617 | + | 7.29988i | 0.845252 | + | 0.417990i | ||||
\(306\) | −3.64483 | − | 2.34239i | −0.208361 | − | 0.133906i | ||||
\(307\) | 14.7438 | + | 6.73329i | 0.841476 | + | 0.384289i | 0.789045 | − | 0.614335i | \(-0.210576\pi\) |
0.0524309 | + | 0.998625i | \(0.483303\pi\) | |||||||
\(308\) | −2.55440 | − | 2.21340i | −0.145550 | − | 0.126120i | ||||
\(309\) | −1.21003 | + | 0.777638i | −0.0688361 | + | 0.0442383i | ||||
\(310\) | 3.21267 | + | 2.20759i | 0.182467 | + | 0.125383i | ||||
\(311\) | 1.02746 | + | 7.14611i | 0.0582617 | + | 0.405219i | 0.997994 | + | 0.0633079i | \(0.0201650\pi\) |
−0.939732 | + | 0.341911i | \(0.888926\pi\) | |||||||
\(312\) | 1.28134 | + | 1.99380i | 0.0725415 | + | 0.112877i | ||||
\(313\) | 5.09748 | + | 4.41699i | 0.288127 | + | 0.249663i | 0.786916 | − | 0.617060i | \(-0.211676\pi\) |
−0.498789 | + | 0.866723i | \(0.666222\pi\) | |||||||
\(314\) | −7.44673 | + | 16.3061i | −0.420243 | + | 0.920205i | ||||
\(315\) | −5.32838 | + | 1.38754i | −0.300220 | + | 0.0781791i | ||||
\(316\) | 3.48305 | − | 1.02272i | 0.195937 | − | 0.0575323i | ||||
\(317\) | 21.2988 | − | 18.4555i | 1.19626 | − | 1.03656i | 0.197847 | − | 0.980233i | \(-0.436605\pi\) |
0.998412 | − | 0.0563317i | \(-0.0179404\pi\) | |||||||
\(318\) | −2.17809 | + | 7.41790i | −0.122141 | + | 0.415975i | ||||
\(319\) | −2.56764 | − | 5.62235i | −0.143760 | − | 0.314791i | ||||
\(320\) | −1.73427 | + | 1.41149i | −0.0969488 | + | 0.0789046i | ||||
\(321\) | 15.2976 | 0.853830 | ||||||||
\(322\) | 1.83903 | + | 11.6652i | 0.102485 | + | 0.650074i | ||||
\(323\) | − | 6.40256i | − | 0.356248i | ||||||
\(324\) | 0.142315 | − | 0.989821i | 0.00790638 | − | 0.0549901i | ||||
\(325\) | 5.77977 | + | 10.3451i | 0.320604 | + | 0.573842i | ||||
\(326\) | −5.91931 | − | 1.73807i | −0.327840 | − | 0.0962626i | ||||
\(327\) | −5.07025 | + | 4.39340i | −0.280386 | + | 0.242956i | ||||
\(328\) | −3.05387 | − | 10.4005i | −0.168622 | − | 0.574273i | ||||
\(329\) | −13.4380 | − | 8.63607i | −0.740860 | − | 0.476122i | ||||
\(330\) | 2.82993 | − | 1.18830i | 0.155782 | − | 0.0654138i | ||||
\(331\) | −19.0498 | + | 21.9846i | −1.04707 | + | 1.20838i | −0.0695416 | + | 0.997579i | \(0.522154\pi\) |
−0.977528 | + | 0.210804i | \(0.932392\pi\) | |||||||
\(332\) | 7.79962 | + | 12.1364i | 0.428060 | + | 0.666074i | ||||
\(333\) | −6.37375 | + | 0.916407i | −0.349279 | + | 0.0502188i | ||||
\(334\) | 0.578492 | + | 4.02350i | 0.0316537 | + | 0.220156i | ||||
\(335\) | −3.48494 | + | 19.8665i | −0.190403 | + | 1.08542i | ||||
\(336\) | −1.61253 | + | 1.86095i | −0.0879705 | + | 0.101523i | ||||
\(337\) | 10.1564 | + | 4.63829i | 0.553257 | + | 0.252664i | 0.672368 | − | 0.740217i | \(-0.265277\pi\) |
−0.119111 | + | 0.992881i | \(0.538004\pi\) | |||||||
\(338\) | −3.99151 | + | 6.21092i | −0.217110 | + | 0.337829i | ||||
\(339\) | 15.3334 | − | 4.50229i | 0.832796 | − | 0.244531i | ||||
\(340\) | −9.68343 | − | 0.298841i | −0.525158 | − | 0.0162070i | ||||
\(341\) | −2.29592 | − | 0.674142i | −0.124331 | − | 0.0365068i | ||||
\(342\) | 1.34422 | − | 0.613883i | 0.0726869 | − | 0.0331950i | ||||
\(343\) | −19.3442 | − | 2.78127i | −1.04449 | − | 0.150174i | ||||
\(344\) | −1.98088 | −0.106802 | ||||||||
\(345\) | −10.2357 | − | 3.19865i | −0.551069 | − | 0.172210i | ||||
\(346\) | −23.7209 | −1.27524 | ||||||||
\(347\) | −15.5275 | − | 2.23252i | −0.833562 | − | 0.119848i | −0.287697 | − | 0.957721i | \(-0.592890\pi\) |
−0.545865 | + | 0.837873i | \(0.683799\pi\) | |||||||
\(348\) | −4.09604 | + | 1.87060i | −0.219571 | + | 0.100275i | ||||
\(349\) | 19.9634 | + | 5.86178i | 1.06862 | + | 0.313774i | 0.768316 | − | 0.640071i | \(-0.221095\pi\) |
0.300300 | + | 0.953845i | \(0.402913\pi\) | |||||||
\(350\) | −8.62105 | + | 8.78989i | −0.460815 | + | 0.469840i | ||||
\(351\) | −2.27403 | + | 0.667716i | −0.121379 | + | 0.0356401i | ||||
\(352\) | 0.742099 | − | 1.15473i | 0.0395540 | − | 0.0615472i | ||||
\(353\) | −1.33026 | − | 0.607509i | −0.0708026 | − | 0.0323344i | 0.379699 | − | 0.925110i | \(-0.376028\pi\) |
−0.450502 | + | 0.892776i | \(0.648755\pi\) | |||||||
\(354\) | 8.31110 | − | 9.59152i | 0.441730 | − | 0.509784i | ||||
\(355\) | −0.620844 | − | 0.108907i | −0.0329510 | − | 0.00578019i | ||||
\(356\) | −1.68983 | − | 11.7530i | −0.0895607 | − | 0.622908i | ||||
\(357\) | −10.5600 | + | 1.51830i | −0.558896 | + | 0.0803572i | ||||
\(358\) | 4.57892 | + | 7.12493i | 0.242003 | + | 0.376564i | ||||
\(359\) | −5.40862 | + | 6.24188i | −0.285456 | + | 0.329434i | −0.880309 | − | 0.474401i | \(-0.842665\pi\) |
0.594853 | + | 0.803835i | \(0.297210\pi\) | |||||||
\(360\) | −0.865713 | − | 2.06168i | −0.0456271 | − | 0.108660i | ||||
\(361\) | −14.1467 | − | 9.09154i | −0.744564 | − | 0.478502i | ||||
\(362\) | −0.970285 | − | 3.30449i | −0.0509970 | − | 0.173680i | ||||
\(363\) | 6.88933 | − | 5.96964i | 0.361596 | − | 0.313325i | ||||
\(364\) | 5.59957 | + | 1.64418i | 0.293497 | + | 0.0861785i | ||||
\(365\) | −16.0632 | − | 5.25999i | −0.840788 | − | 0.275320i | ||||
\(366\) | −1.04811 | + | 7.28976i | −0.0547856 | + | 0.381042i | ||||
\(367\) | 10.9373i | 0.570920i | 0.958391 | + | 0.285460i | \(0.0921464\pi\) | ||||
−0.958391 | + | 0.285460i | \(0.907854\pi\) | |||||||
\(368\) | −4.58282 | + | 1.41344i | −0.238896 | + | 0.0736804i | ||||
\(369\) | 10.8396 | 0.564287 | ||||||||
\(370\) | −11.1675 | + | 9.08899i | −0.580570 | + | 0.472514i | ||||
\(371\) | 7.90823 | + | 17.3166i | 0.410575 | + | 0.899034i | ||||
\(372\) | −0.491132 | + | 1.67264i | −0.0254640 | + | 0.0867224i | ||||
\(373\) | −23.5485 | + | 20.4049i | −1.21929 | + | 1.05652i | −0.222631 | + | 0.974903i | \(0.571464\pi\) |
−0.996663 | + | 0.0816214i | \(0.973990\pi\) | |||||||
\(374\) | 5.70618 | − | 1.67549i | 0.295060 | − | 0.0866373i | ||||
\(375\) | −3.68467 | − | 10.5557i | −0.190276 | − | 0.545095i | ||||
\(376\) | 2.69483 | − | 5.90086i | 0.138975 | − | 0.304314i | ||||
\(377\) | 8.06551 | + | 6.98880i | 0.415395 | + | 0.359942i | ||||
\(378\) | −1.33127 | − | 2.07150i | −0.0684732 | − | 0.106546i | ||||
\(379\) | 4.48952 | + | 31.2253i | 0.230611 | + | 1.60394i | 0.695473 | + | 0.718552i | \(0.255195\pi\) |
−0.464862 | + | 0.885383i | \(0.653896\pi\) | |||||||
\(380\) | 1.87137 | − | 2.72338i | 0.0959994 | − | 0.139706i | ||||
\(381\) | −0.0220569 | + | 0.0141751i | −0.00113001 | + | 0.000726214i | ||||
\(382\) | 3.65600 | + | 3.16794i | 0.187057 | + | 0.162086i | ||||
\(383\) | 10.5776 | + | 4.83061i | 0.540488 | + | 0.246833i | 0.666903 | − | 0.745145i | \(-0.267620\pi\) |
−0.126414 | + | 0.991978i | \(0.540347\pi\) | |||||||
\(384\) | −0.841254 | − | 0.540641i | −0.0429300 | − | 0.0275895i | ||||
\(385\) | 3.35020 | − | 6.77470i | 0.170742 | − | 0.345271i | ||||
\(386\) | −0.129851 | − | 0.149856i | −0.00660922 | − | 0.00762745i | ||||
\(387\) | 0.558077 | − | 1.90064i | 0.0283686 | − | 0.0966147i | ||||
\(388\) | −1.50651 | + | 0.688000i | −0.0764815 | + | 0.0349279i | ||||
\(389\) | 2.05492 | − | 14.2923i | 0.104188 | − | 0.724646i | −0.869029 | − | 0.494761i | \(-0.835256\pi\) |
0.973218 | − | 0.229885i | \(-0.0738352\pi\) | |||||||
\(390\) | −3.59237 | + | 3.89618i | −0.181907 | + | 0.197291i | ||||
\(391\) | −19.0162 | − | 8.37454i | −0.961688 | − | 0.423519i | ||||
\(392\) | − | 0.936610i | − | 0.0473060i | ||||||
\(393\) | −5.45151 | − | 0.783809i | −0.274992 | − | 0.0395379i | ||||
\(394\) | 7.95786 | + | 17.4253i | 0.400911 | + | 0.877873i | ||||
\(395\) | 4.17574 | + | 6.96070i | 0.210104 | + | 0.350231i | ||||
\(396\) | 0.898880 | + | 1.03736i | 0.0451704 | + | 0.0521295i | ||||
\(397\) | −3.69214 | − | 12.5743i | −0.185303 | − | 0.631086i | −0.998775 | − | 0.0494810i | \(-0.984243\pi\) |
0.813472 | − | 0.581605i | \(-0.197575\pi\) | |||||||
\(398\) | 0.127958 | − | 0.199107i | 0.00641396 | − | 0.00998032i | ||||
\(399\) | 1.51162 | − | 3.30999i | 0.0756757 | − | 0.165707i | ||||
\(400\) | −4.03157 | − | 2.95743i | −0.201579 | − | 0.147872i | ||||
\(401\) | 19.4204 | − | 12.4808i | 0.969810 | − | 0.623259i | 0.0431139 | − | 0.999070i | \(-0.486272\pi\) |
0.926696 | + | 0.375811i | \(0.122636\pi\) | |||||||
\(402\) | −8.92842 | + | 1.28371i | −0.445309 | + | 0.0640258i | ||||
\(403\) | 4.08953 | − | 0.587985i | 0.203714 | − | 0.0292896i | ||||
\(404\) | −6.66532 | + | 4.28354i | −0.331612 | + | 0.213114i | ||||
\(405\) | 2.22207 | − | 0.249802i | 0.110416 | − | 0.0124127i | ||||
\(406\) | −4.60616 | + | 10.0861i | −0.228600 | + | 0.500564i | ||||
\(407\) | 4.77859 | − | 7.43564i | 0.236866 | − | 0.368571i | ||||
\(408\) | −1.22064 | − | 4.15712i | −0.0604307 | − | 0.205808i | ||||
\(409\) | −4.90589 | − | 5.66169i | −0.242580 | − | 0.279953i | 0.621383 | − | 0.783507i | \(-0.286571\pi\) |
−0.863964 | + | 0.503554i | \(0.832026\pi\) | |||||||
\(410\) | 20.7849 | − | 12.4689i | 1.02649 | − | 0.615795i | ||||
\(411\) | −5.02020 | − | 10.9927i | −0.247628 | − | 0.542230i | ||||
\(412\) | −1.42372 | − | 0.204700i | −0.0701418 | − | 0.0100849i | ||||
\(413\) | − | 31.2512i | − | 1.53777i | ||||||
\(414\) | −0.0650526 | − | 4.79539i | −0.00319716 | − | 0.235681i | ||||
\(415\) | −21.8671 | + | 23.7164i | −1.07341 | + | 1.16419i | ||||
\(416\) | −0.337291 | + | 2.34591i | −0.0165371 | + | 0.115018i | ||||
\(417\) | 0.365783 | − | 0.167048i | 0.0179125 | − | 0.00818036i | ||||
\(418\) | −0.571470 | + | 1.94625i | −0.0279515 | + | 0.0951940i | ||||
\(419\) | 18.2376 | + | 21.0474i | 0.890967 | + | 1.02823i | 0.999417 | + | 0.0341292i | \(0.0108658\pi\) |
−0.108450 | + | 0.994102i | \(0.534589\pi\) | |||||||
\(420\) | −4.93557 | − | 2.44072i | −0.240831 | − | 0.119095i | ||||
\(421\) | 26.7271 | + | 17.1765i | 1.30260 | + | 0.837129i | 0.993492 | − | 0.113899i | \(-0.0363339\pi\) |
0.309106 | + | 0.951028i | \(0.399970\pi\) | |||||||
\(422\) | −20.0098 | − | 9.13816i | −0.974061 | − | 0.444839i | ||||
\(423\) | 4.90261 | + | 4.24814i | 0.238373 | + | 0.206551i | ||||
\(424\) | −6.50379 | + | 4.17973i | −0.315852 | + | 0.202986i | ||||
\(425\) | −4.80988 | − | 21.1224i | −0.233313 | − | 1.02459i | ||||
\(426\) | −0.0401170 | − | 0.279020i | −0.00194368 | − | 0.0135186i | ||||
\(427\) | 9.80444 | + | 15.2560i | 0.474470 | + | 0.738290i | ||||
\(428\) | 11.5612 | + | 10.0178i | 0.558830 | + | 0.484229i | ||||
\(429\) | 1.35142 | − | 2.95919i | 0.0652471 | − | 0.142871i | ||||
\(430\) | −1.11621 | − | 4.28642i | −0.0538283 | − | 0.206710i | ||||
\(431\) | 26.2934 | − | 7.72045i | 1.26651 | − | 0.371881i | 0.421596 | − | 0.906784i | \(-0.361470\pi\) |
0.844914 | + | 0.534903i | \(0.179652\pi\) | |||||||
\(432\) | 0.755750 | − | 0.654861i | 0.0363610 | − | 0.0315070i | ||||
\(433\) | −1.12139 | + | 3.81912i | −0.0538908 | + | 0.183535i | −0.982040 | − | 0.188673i | \(-0.939581\pi\) |
0.928149 | + | 0.372209i | \(0.121399\pi\) | |||||||
\(434\) | 1.78320 | + | 3.90467i | 0.0855965 | + | 0.187430i | ||||
\(435\) | −6.35589 | − | 7.80937i | −0.304742 | − | 0.374431i | ||||
\(436\) | −6.70891 | −0.321298 | ||||||||
\(437\) | 5.90951 | − | 3.91208i | 0.282690 | − | 0.187140i | ||||
\(438\) | − | 7.55904i | − | 0.361185i | ||||||
\(439\) | −3.36973 | + | 23.4370i | −0.160828 | + | 1.11858i | 0.736249 | + | 0.676711i | \(0.236595\pi\) |
−0.897077 | + | 0.441874i | \(0.854314\pi\) | |||||||
\(440\) | 2.91689 | + | 0.955149i | 0.139057 | + | 0.0455349i | ||||
\(441\) | 0.898671 | + | 0.263874i | 0.0427939 | + | 0.0125654i | ||||
\(442\) | −7.76039 | + | 6.72442i | −0.369124 | + | 0.319848i | ||||
\(443\) | −1.33569 | − | 4.54893i | −0.0634603 | − | 0.216126i | 0.921658 | − | 0.388003i | \(-0.126835\pi\) |
−0.985118 | + | 0.171877i | \(0.945017\pi\) | |||||||
\(444\) | −5.41708 | − | 3.48135i | −0.257083 | − | 0.165217i | ||||
\(445\) | 24.4802 | − | 10.2794i | 1.16047 | − | 0.487288i | ||||
\(446\) | 5.11600 | − | 5.90418i | 0.242250 | − | 0.279571i | ||||
\(447\) | −0.776875 | − | 1.20884i | −0.0367449 | − | 0.0571763i | ||||
\(448\) | −2.43733 | + | 0.350435i | −0.115153 | + | 0.0165565i | ||||
\(449\) | 3.45421 | + | 24.0246i | 0.163014 | + | 1.13379i | 0.892911 | + | 0.450233i | \(0.148659\pi\) |
−0.729897 | + | 0.683557i | \(0.760432\pi\) | |||||||
\(450\) | 3.97346 | − | 3.03506i | 0.187311 | − | 0.143074i | ||||
\(451\) | −9.74351 | + | 11.2446i | −0.458804 | + | 0.529488i | ||||
\(452\) | 14.5366 | + | 6.63863i | 0.683743 | + | 0.312255i | ||||
\(453\) | −1.63574 | + | 2.54526i | −0.0768538 | + | 0.119587i | ||||
\(454\) | 22.8595 | − | 6.71215i | 1.07285 | − | 0.315017i | ||||
\(455\) | −0.402534 | + | 13.0434i | −0.0188711 | + | 0.611484i | ||||
\(456\) | 1.41790 | + | 0.416332i | 0.0663992 | + | 0.0194966i | ||||
\(457\) | 18.0715 | − | 8.25297i | 0.845349 | − | 0.386058i | 0.0548300 | − | 0.998496i | \(-0.482538\pi\) |
0.790519 | + | 0.612438i | \(0.209811\pi\) | |||||||
\(458\) | −28.2864 | − | 4.06697i | −1.32174 | − | 0.190037i | ||||
\(459\) | 4.33262 | 0.202229 | ||||||||
\(460\) | −5.64092 | − | 9.12031i | −0.263009 | − | 0.425237i | ||||
\(461\) | 30.6721 | 1.42854 | 0.714271 | − | 0.699869i | \(-0.246758\pi\) | ||||
0.714271 | + | 0.699869i | \(0.246758\pi\) | |||||||
\(462\) | 3.34555 | + | 0.481017i | 0.155649 | + | 0.0223790i | ||||
\(463\) | −8.79152 | + | 4.01495i | −0.408576 | + | 0.186591i | −0.609091 | − | 0.793100i | \(-0.708466\pi\) |
0.200515 | + | 0.979691i | \(0.435738\pi\) | |||||||
\(464\) | −4.32057 | − | 1.26863i | −0.200577 | − | 0.0588948i | ||||
\(465\) | −3.89618 | − | 0.120241i | −0.180681 | − | 0.00557602i | ||||
\(466\) | 11.7648 | − | 3.45446i | 0.544994 | − | 0.160025i | ||||
\(467\) | −14.2636 | + | 22.1946i | −0.660041 | + | 1.02704i | 0.336315 | + | 0.941750i | \(0.390819\pi\) |
−0.996356 | + | 0.0852943i | \(0.972817\pi\) | |||||||
\(468\) | −2.15586 | − | 0.984548i | −0.0996547 | − | 0.0455108i | ||||
\(469\) | −14.5454 | + | 16.7862i | −0.671642 | + | 0.775117i | ||||
\(470\) | 14.2874 | + | 2.50626i | 0.659029 | + | 0.115605i | ||||
\(471\) | −2.55114 | − | 17.7435i | −0.117550 | − | 0.817580i | ||||
\(472\) | 12.5622 | − | 1.80617i | 0.578223 | − | 0.0831359i | ||||
\(473\) | 1.47001 | + | 2.28737i | 0.0675909 | + | 0.105174i | ||||
\(474\) | −2.37721 | + | 2.74345i | −0.109189 | + | 0.126011i | ||||
\(475\) | 6.94764 | + | 2.51486i | 0.318779 | + | 0.115390i | ||||
\(476\) | −8.97502 | − | 5.76789i | −0.411369 | − | 0.264371i | ||||
\(477\) | −2.17809 | − | 7.41790i | −0.0997280 | − | 0.339643i | ||||
\(478\) | 14.2519 | − | 12.3494i | 0.651869 | − | 0.564848i | ||||
\(479\) | 14.1062 | + | 4.14196i | 0.644529 | + | 0.189251i | 0.587631 | − | 0.809129i | \(-0.300061\pi\) |
0.0568983 | + | 0.998380i | \(0.481879\pi\) | |||||||
\(480\) | 0.695854 | − | 2.12504i | 0.0317613 | − | 0.0969943i | ||||
\(481\) | −2.17192 | + | 15.1060i | −0.0990309 | + | 0.688775i | ||||
\(482\) | 2.27417i | 0.103585i | ||||||||
\(483\) | −7.85375 | − | 8.81910i | −0.357358 | − | 0.401283i | ||||
\(484\) | 9.11589 | 0.414359 | ||||||||
\(485\) | −2.33767 | − | 2.87226i | −0.106148 | − | 0.130423i | ||||
\(486\) | 0.415415 | + | 0.909632i | 0.0188436 | + | 0.0412617i | ||||
\(487\) | 7.98901 | − | 27.2081i | 0.362017 | − | 1.23292i | −0.554251 | − | 0.832349i | \(-0.686995\pi\) |
0.916268 | − | 0.400566i | \(-0.131186\pi\) | |||||||
\(488\) | −5.56589 | + | 4.82287i | −0.251956 | + | 0.218321i | ||||
\(489\) | 5.91931 | − | 1.73807i | 0.267680 | − | 0.0785981i | ||||
\(490\) | 2.02673 | − | 0.527773i | 0.0915585 | − | 0.0238424i | ||||
\(491\) | 2.49113 | − | 5.45482i | 0.112423 | − | 0.246172i | −0.845054 | − | 0.534681i | \(-0.820432\pi\) |
0.957477 | + | 0.288508i | \(0.0931592\pi\) | |||||||
\(492\) | 8.19203 | + | 7.09843i | 0.369325 | + | 0.320022i | ||||
\(493\) | −10.5477 | − | 16.4126i | −0.475045 | − | 0.739185i | ||||
\(494\) | −0.498435 | − | 3.46669i | −0.0224256 | − | 0.155974i | ||||
\(495\) | −1.73824 | + | 2.52964i | −0.0781281 | + | 0.113699i | ||||
\(496\) | −1.46652 | + | 0.942475i | −0.0658487 | + | 0.0423184i | ||||
\(497\) | −0.524583 | − | 0.454554i | −0.0235308 | − | 0.0203895i | ||||
\(498\) | −13.1229 | − | 5.99303i | −0.588052 | − | 0.268554i | ||||
\(499\) | −5.63018 | − | 3.61830i | −0.252042 | − | 0.161977i | 0.408519 | − | 0.912750i | \(-0.366045\pi\) |
−0.660561 | + | 0.750772i | \(0.729682\pi\) | |||||||
\(500\) | 4.12784 | − | 10.3904i | 0.184602 | − | 0.464674i | ||||
\(501\) | −2.66193 | − | 3.07203i | −0.118926 | − | 0.137248i | ||||
\(502\) | −3.91736 | + | 13.3413i | −0.174840 | + | 0.595451i | ||||
\(503\) | −3.63103 | + | 1.65824i | −0.161900 | + | 0.0739371i | −0.494717 | − | 0.869054i | \(-0.664728\pi\) |
0.332817 | + | 0.942991i | \(0.392001\pi\) | |||||||
\(504\) | 0.350435 | − | 2.43733i | 0.0156096 | − | 0.108567i | ||||
\(505\) | −13.0250 | − | 12.0094i | −0.579606 | − | 0.534410i | ||||
\(506\) | 5.03304 | + | 4.24300i | 0.223746 | + | 0.188624i | ||||
\(507\) | − | 7.38293i | − | 0.327887i | ||||||
\(508\) | −0.0259523 | − | 0.00373137i | −0.00115145 | − | 0.000165553i | ||||
\(509\) | −10.8577 | − | 23.7751i | −0.481260 | − | 1.05381i | −0.982115 | − | 0.188281i | \(-0.939708\pi\) |
0.500855 | − | 0.865531i | \(-0.333019\pi\) | |||||||
\(510\) | 8.30778 | − | 4.98385i | 0.367875 | − | 0.220689i | ||||
\(511\) | −12.1891 | − | 14.0670i | −0.539216 | − | 0.622288i | ||||
\(512\) | −0.281733 | − | 0.959493i | −0.0124509 | − | 0.0424040i | ||||
\(513\) | −0.798936 | + | 1.24317i | −0.0352739 | + | 0.0548872i | ||||
\(514\) | −5.14127 | + | 11.2578i | −0.226772 | + | 0.496561i | ||||
\(515\) | −0.359305 | − | 3.19615i | −0.0158329 | − | 0.140839i | ||||
\(516\) | 1.66642 | − | 1.07094i | 0.0733600 | − | 0.0471456i | ||||
\(517\) | −8.81372 | + | 1.26722i | −0.387627 | + | 0.0557324i | ||||
\(518\) | −15.6947 | + | 2.25656i | −0.689585 | + | 0.0991474i | ||||
\(519\) | 19.9553 | − | 12.8245i | 0.875941 | − | 0.562933i | ||||
\(520\) | −5.26639 | + | 0.592039i | −0.230946 | + | 0.0259626i | ||||
\(521\) | 7.47555 | − | 16.3692i | 0.327510 | − | 0.717146i | −0.672221 | − | 0.740351i | \(-0.734660\pi\) |
0.999731 | + | 0.0232042i | \(0.00738678\pi\) | |||||||
\(522\) | 2.43449 | − | 3.78814i | 0.106555 | − | 0.165802i | ||||
\(523\) | −8.62122 | − | 29.3612i | −0.376980 | − | 1.28387i | −0.901612 | − | 0.432546i | \(-0.857615\pi\) |
0.524632 | − | 0.851329i | \(-0.324203\pi\) | |||||||
\(524\) | −3.60669 | − | 4.16235i | −0.157559 | − | 0.181833i | ||||
\(525\) | 2.50031 | − | 12.0554i | 0.109123 | − | 0.526142i | ||||
\(526\) | 5.00836 | + | 10.9668i | 0.218375 | + | 0.478174i | ||||
\(527\) | −7.47599 | − | 1.07489i | −0.325659 | − | 0.0468227i | ||||
\(528\) | 1.37263i | 0.0597360i | ||||||||
\(529\) | −3.88959 | − | 22.6687i | −0.169113 | − | 0.985597i | ||||
\(530\) | −12.7094 | − | 11.7183i | −0.552060 | − | 0.509011i | ||||
\(531\) | −1.80617 | + | 12.5622i | −0.0783813 | + | 0.545154i | ||||
\(532\) | 3.30999 | − | 1.51162i | 0.143506 | − | 0.0655371i | ||||
\(533\) | 7.23778 | − | 24.6496i | 0.313503 | − | 1.06769i | ||||
\(534\) | 7.77573 | + | 8.97367i | 0.336489 | + | 0.388329i | ||||
\(535\) | −15.1629 | + | 30.6622i | −0.655551 | + | 1.32564i | ||||
\(536\) | −7.58830 | − | 4.87671i | −0.327765 | − | 0.210642i | ||||
\(537\) | −7.70406 | − | 3.51833i | −0.332455 | − | 0.151827i | ||||
\(538\) | 23.4113 | + | 20.2860i | 1.00933 | + | 0.874591i | ||||
\(539\) | −1.08153 | + | 0.695057i | −0.0465848 | + | 0.0299382i | ||||
\(540\) | 1.84291 | + | 1.26636i | 0.0793064 | + | 0.0544954i | ||||
\(541\) | 1.71739 | + | 11.9447i | 0.0738366 | + | 0.513545i | 0.992855 | + | 0.119329i | \(0.0380745\pi\) |
−0.919018 | + | 0.394215i | \(0.871016\pi\) | |||||||
\(542\) | 2.14390 | + | 3.33598i | 0.0920885 | + | 0.143293i | ||||
\(543\) | 2.60280 | + | 2.25533i | 0.111697 | + | 0.0967857i | ||||
\(544\) | 1.79984 | − | 3.94109i | 0.0771673 | − | 0.168973i | ||||
\(545\) | −3.78042 | − | 14.5174i | −0.161935 | − | 0.621858i | ||||
\(546\) | −5.59957 | + | 1.64418i | −0.239639 | + | 0.0703645i | ||||
\(547\) | 24.5715 | − | 21.2913i | 1.05060 | − | 0.910351i | 0.0544945 | − | 0.998514i | \(-0.482645\pi\) |
0.996106 | + | 0.0881636i | \(0.0280998\pi\) | |||||||
\(548\) | 3.40468 | − | 11.5953i | 0.145441 | − | 0.495325i | ||||
\(549\) | −3.05942 | − | 6.69919i | −0.130573 | − | 0.285914i | ||||
\(550\) | −0.423205 | + | 6.85008i | −0.0180455 | + | 0.292088i | ||||
\(551\) | 6.65430 | 0.283483 | ||||||||
\(552\) | 3.09115 | − | 3.66671i | 0.131568 | − | 0.156066i | ||||
\(553\) | 8.93874i | 0.380114i | ||||||||
\(554\) | 1.95294 | − | 13.5830i | 0.0829727 | − | 0.577088i | ||||
\(555\) | 4.48081 | − | 13.6837i | 0.190200 | − | 0.580843i | ||||
\(556\) | 0.385834 | + | 0.113291i | 0.0163630 | + | 0.00480461i | ||||
\(557\) | −14.5164 | + | 12.5786i | −0.615082 | + | 0.532971i | −0.905728 | − | 0.423859i | \(-0.860675\pi\) |
0.290646 | + | 0.956831i | \(0.406130\pi\) | |||||||
\(558\) | −0.491132 | − | 1.67264i | −0.0207913 | − | 0.0708086i | ||||
\(559\) | −3.94947 | − | 2.53817i | −0.167045 | − | 0.107353i | ||||
\(560\) | −2.13173 | − | 5.07668i | −0.0900819 | − | 0.214529i | ||||
\(561\) | −3.89451 | + | 4.49450i | −0.164426 | + | 0.189758i | ||||
\(562\) | −13.7974 | − | 21.4692i | −0.582008 | − | 0.905622i | ||||
\(563\) | −31.5499 | + | 4.53619i | −1.32967 | + | 0.191177i | −0.770268 | − | 0.637720i | \(-0.779878\pi\) |
−0.559400 | + | 0.828898i | \(0.688968\pi\) | |||||||
\(564\) | 0.923208 | + | 6.42105i | 0.0388741 | + | 0.270375i | ||||
\(565\) | −6.17410 | + | 35.1966i | −0.259746 | + | 1.48073i | ||||
\(566\) | 2.09556 | − | 2.41840i | 0.0880828 | − | 0.101653i | ||||
\(567\) | 2.23987 | + | 1.02292i | 0.0940658 | + | 0.0429584i | ||||
\(568\) | 0.152401 | − | 0.237140i | 0.00639460 | − | 0.00995019i | ||||
\(569\) | −28.2936 | + | 8.30774i | −1.18613 | + | 0.348279i | −0.814534 | − | 0.580116i | \(-0.803007\pi\) |
−0.371595 | + | 0.928395i | \(0.621189\pi\) | |||||||
\(570\) | −0.101928 | + | 3.30279i | −0.00426929 | + | 0.138339i | ||||
\(571\) | 27.6898 | + | 8.13046i | 1.15878 | + | 0.340249i | 0.803959 | − | 0.594685i | \(-0.202723\pi\) |
0.354823 | + | 0.934934i | \(0.384541\pi\) | |||||||
\(572\) | 2.95919 | − | 1.35142i | 0.123730 | − | 0.0565057i | ||||
\(573\) | −4.78834 | − | 0.688460i | −0.200036 | − | 0.0287608i | ||||
\(574\) | 26.6914 | 1.11408 | ||||||||
\(575\) | 16.5568 | − | 17.3456i | 0.690468 | − | 0.723363i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | 3.69850 | + | 0.531763i | 0.153970 | + | 0.0221376i | 0.218869 | − | 0.975754i | \(-0.429763\pi\) |
−0.0648985 | + | 0.997892i | \(0.520672\pi\) | |||||||
\(578\) | 1.61151 | − | 0.735954i | 0.0670301 | − | 0.0306116i | ||||
\(579\) | 0.190255 | + | 0.0558640i | 0.00790675 | + | 0.00232163i | ||||
\(580\) | 0.310591 | − | 10.0642i | 0.0128966 | − | 0.417891i | ||||
\(581\) | −34.0851 | + | 10.0083i | −1.41409 | + | 0.415213i | ||||
\(582\) | 0.895396 | − | 1.39326i | 0.0371154 | − | 0.0577526i | ||||
\(583\) | 9.65291 | + | 4.40833i | 0.399783 | + | 0.182575i | ||||
\(584\) | 4.95012 | − | 5.71274i | 0.204837 | − | 0.236395i | ||||
\(585\) | 0.915656 | − | 5.21986i | 0.0378577 | − | 0.215815i | ||||
\(586\) | −3.94142 | − | 27.4132i | −0.162818 | − | 1.13243i | ||||
\(587\) | 22.2498 | − | 3.19904i | 0.918349 | − | 0.132039i | 0.333099 | − | 0.942892i | \(-0.391906\pi\) |
0.585250 | + | 0.810853i | \(0.300997\pi\) | |||||||
\(588\) | 0.506370 | + | 0.787927i | 0.0208823 | + | 0.0324936i | ||||
\(589\) | 1.68699 | − | 1.94689i | 0.0695113 | − | 0.0802204i | ||||
\(590\) | 10.9871 | + | 26.1657i | 0.452332 | + | 1.07722i | ||||
\(591\) | −16.1154 | − | 10.3567i | −0.662899 | − | 0.426019i | ||||
\(592\) | −1.81416 | − | 6.17846i | −0.0745615 | − | 0.253933i | ||||
\(593\) | −28.3667 | + | 24.5799i | −1.16488 | + | 1.00937i | −0.165148 | + | 0.986269i | \(0.552810\pi\) |
−0.999733 | + | 0.0231061i | \(0.992644\pi\) | |||||||
\(594\) | −1.31703 | − | 0.386714i | −0.0540383 | − | 0.0158671i | ||||
\(595\) | 7.42381 | − | 22.6712i | 0.304346 | − | 0.929430i | ||||
\(596\) | 0.204500 | − | 1.42233i | 0.00837664 | − | 0.0582608i | ||||
\(597\) | 0.236679i | 0.00968661i | ||||||||
\(598\) | −10.9483 | − | 3.05403i | −0.447710 | − | 0.124888i | ||||
\(599\) | −28.5587 | −1.16688 | −0.583438 | − | 0.812158i | \(-0.698293\pi\) | ||||
−0.583438 | + | 0.812158i | \(0.698293\pi\) | |||||||
\(600\) | 4.99048 | + | 0.308318i | 0.203736 | + | 0.0125870i | ||||
\(601\) | −6.62299 | − | 14.5023i | −0.270157 | − | 0.591562i | 0.725121 | − | 0.688621i | \(-0.241784\pi\) |
−0.995279 | + | 0.0970590i | \(0.969056\pi\) | |||||||
\(602\) | 1.37421 | − | 4.68012i | 0.0560085 | − | 0.190747i | ||||
\(603\) | 6.81704 | − | 5.90700i | 0.277611 | − | 0.240552i | ||||
\(604\) | −2.90300 | + | 0.852398i | −0.118121 | + | 0.0346836i | ||||
\(605\) | 5.13674 | + | 19.7259i | 0.208838 | + | 0.801972i | ||||
\(606\) | 3.29137 | − | 7.20709i | 0.133703 | − | 0.292768i | ||||
\(607\) | 35.1373 | + | 30.4467i | 1.42618 | + | 1.23579i | 0.929993 | + | 0.367578i | \(0.119813\pi\) |
0.496188 | + | 0.868215i | \(0.334733\pi\) | |||||||
\(608\) | 0.798936 | + | 1.24317i | 0.0324011 | + | 0.0504172i | ||||
\(609\) | −1.57800 | − | 10.9752i | −0.0639438 | − | 0.444739i | ||||
\(610\) | −13.5726 | − | 9.32639i | −0.549537 | − | 0.377614i | ||||
\(611\) | 12.9340 | − | 8.31215i | 0.523252 | − | 0.336273i | ||||
\(612\) | 3.27438 | + | 2.83726i | 0.132359 | + | 0.114690i | ||||
\(613\) | 15.5086 | + | 7.08256i | 0.626388 | + | 0.286062i | 0.703209 | − | 0.710983i | \(-0.251750\pi\) |
−0.0768212 | + | 0.997045i | \(0.524477\pi\) | |||||||
\(614\) | −13.6355 | − | 8.76302i | −0.550285 | − | 0.353647i | ||||
\(615\) | −10.7442 | + | 21.7267i | −0.433247 | + | 0.876104i | ||||
\(616\) | 2.21340 | + | 2.55440i | 0.0891804 | + | 0.102920i | ||||
\(617\) | 1.34657 | − | 4.58599i | 0.0542108 | − | 0.184625i | −0.927937 | − | 0.372738i | \(-0.878419\pi\) |
0.982147 | + | 0.188113i | \(0.0602371\pi\) | |||||||
\(618\) | 1.30838 | − | 0.597518i | 0.0526308 | − | 0.0240357i | ||||
\(619\) | 6.03690 | − | 41.9875i | 0.242643 | − | 1.68762i | −0.396104 | − | 0.918206i | \(-0.629638\pi\) |
0.638747 | − | 0.769416i | \(-0.279453\pi\) | |||||||
\(620\) | −2.86580 | − | 2.64233i | −0.115093 | − | 0.106119i | ||||
\(621\) | 2.64731 | + | 3.99897i | 0.106233 | + | 0.160473i | ||||
\(622\) | − | 7.21960i | − | 0.289480i | ||||||
\(623\) | 28.9406 | + | 4.16102i | 1.15948 | + | 0.166708i | ||||
\(624\) | −0.984548 | − | 2.15586i | −0.0394135 | − | 0.0863035i | ||||
\(625\) | 24.8099 | + | 3.07731i | 0.992395 | + | 0.123092i | ||||
\(626\) | −4.41699 | − | 5.09748i | −0.176539 | − | 0.203736i | ||||
\(627\) | −0.571470 | − | 1.94625i | −0.0228223 | − | 0.0777256i | ||||
\(628\) | 9.69153 | − | 15.0803i | 0.386734 | − | 0.601770i | ||||
\(629\) | 11.5897 | − | 25.3779i | 0.462111 | − | 1.01188i | ||||
\(630\) | 5.47162 | − | 0.615110i | 0.217994 | − | 0.0245066i | ||||
\(631\) | −4.92443 | + | 3.16474i | −0.196039 | + | 0.125986i | −0.634978 | − | 0.772530i | \(-0.718991\pi\) |
0.438939 | + | 0.898517i | \(0.355354\pi\) | |||||||
\(632\) | −3.59315 | + | 0.516617i | −0.142928 | + | 0.0205499i | ||||
\(633\) | 21.7738 | − | 3.13059i | 0.865429 | − | 0.124430i | ||||
\(634\) | −23.7085 | + | 15.2365i | −0.941585 | + | 0.605120i | ||||
\(635\) | −0.00654958 | − | 0.0582608i | −0.000259912 | − | 0.00231201i | ||||
\(636\) | 3.21160 | − | 7.03243i | 0.127348 | − | 0.278854i | ||||
\(637\) | 1.20011 | − | 1.86741i | 0.0475503 | − | 0.0739897i | ||||
\(638\) | 1.74136 | + | 5.93053i | 0.0689412 | + | 0.234792i | ||||
\(639\) | 0.184598 | + | 0.213038i | 0.00730260 | + | 0.00842765i | ||||
\(640\) | 1.91750 | − | 1.15031i | 0.0757957 | − | 0.0454700i | ||||
\(641\) | 15.5861 | + | 34.1289i | 0.615616 | + | 1.34801i | 0.918666 | + | 0.395036i | \(0.129268\pi\) |
−0.303050 | + | 0.952975i | \(0.598005\pi\) | |||||||
\(642\) | −15.1419 | − | 2.17708i | −0.597603 | − | 0.0859224i | ||||
\(643\) | 3.60991i | 0.142361i | 0.997463 | + | 0.0711805i | \(0.0226766\pi\) | ||||
−0.997463 | + | 0.0711805i | \(0.977323\pi\) | |||||||
\(644\) | −0.160185 | − | 11.8081i | −0.00631218 | − | 0.465306i | ||||
\(645\) | 3.25643 | + | 3.00250i | 0.128222 | + | 0.118223i | ||||
\(646\) | −0.911180 | + | 6.33740i | −0.0358499 | + | 0.249342i | ||||
\(647\) | −28.4315 | + | 12.9842i | −1.11776 | + | 0.510463i | −0.886639 | − | 0.462462i | \(-0.846966\pi\) |
−0.231120 | + | 0.972925i | \(0.574239\pi\) | |||||||
\(648\) | −0.281733 | + | 0.959493i | −0.0110675 | + | 0.0376924i | ||||
\(649\) | −11.4081 | − | 13.1656i | −0.447805 | − | 0.516795i | ||||
\(650\) | −4.24868 | − | 11.0623i | −0.166647 | − | 0.433901i | ||||
\(651\) | −3.61115 | − | 2.32075i | −0.141532 | − | 0.0909572i | ||||
\(652\) | 5.61171 | + | 2.56278i | 0.219771 | + | 0.100366i | ||||
\(653\) | −23.3725 | − | 20.2523i | −0.914635 | − | 0.792536i | 0.0640408 | − | 0.997947i | \(-0.479601\pi\) |
−0.978676 | + | 0.205412i | \(0.934147\pi\) | |||||||
\(654\) | 5.64389 | − | 3.62711i | 0.220694 | − | 0.141831i | ||||
\(655\) | 6.97457 | − | 10.1500i | 0.272519 | − | 0.396593i | ||||
\(656\) | 1.54264 | + | 10.7293i | 0.0602299 | + | 0.418908i | ||||
\(657\) | 4.08672 | + | 6.35907i | 0.159438 | + | 0.248091i | ||||
\(658\) | 12.0722 | + | 10.4606i | 0.470622 | + | 0.407796i | ||||
\(659\) | −13.3874 | + | 29.3143i | −0.521499 | + | 1.14192i | 0.447370 | + | 0.894349i | \(0.352361\pi\) |
−0.968869 | + | 0.247575i | \(0.920366\pi\) | |||||||
\(660\) | −2.97023 | + | 0.773466i | −0.115616 | + | 0.0301071i | ||||
\(661\) | −4.53333 | + | 1.33111i | −0.176326 | + | 0.0517740i | −0.368704 | − | 0.929547i | \(-0.620198\pi\) |
0.192378 | + | 0.981321i | \(0.438380\pi\) | |||||||
\(662\) | 21.9846 | − | 19.0498i | 0.854456 | − | 0.740390i | ||||
\(663\) | 2.89296 | − | 9.85252i | 0.112353 | − | 0.382640i | ||||
\(664\) | −5.99303 | − | 13.1229i | −0.232575 | − | 0.509268i | ||||
\(665\) | 5.13616 | + | 6.31071i | 0.199172 | + | 0.244719i | ||||
\(666\) | 6.43930 | 0.249518 | ||||||||
\(667\) | 8.70380 | − | 19.7638i | 0.337013 | − | 0.765258i | ||||
\(668\) | − | 4.06488i | − | 0.157275i | ||||||
\(669\) | −1.11181 | + | 7.73284i | −0.0429852 | + | 0.298969i | ||||
\(670\) | 6.27677 | − | 19.1683i | 0.242493 | − | 0.740538i | ||||
\(671\) | 9.69954 | + | 2.84804i | 0.374447 | + | 0.109947i | ||||
\(672\) | 1.86095 | − | 1.61253i | 0.0717879 | − | 0.0622045i | ||||
\(673\) | −9.87698 | − | 33.6379i | −0.380729 | − | 1.29665i | −0.897687 | − | 0.440634i | \(-0.854754\pi\) |
0.516957 | − | 0.856011i | \(-0.327065\pi\) | |||||||
\(674\) | −9.39297 | − | 6.03650i | −0.361804 | − | 0.232517i | ||||
\(675\) | −1.70181 | + | 4.70147i | −0.0655027 | + | 0.180960i | ||||
\(676\) | 4.83479 | − | 5.57965i | 0.185954 | − | 0.214602i | ||||
\(677\) | 17.8508 | + | 27.7764i | 0.686061 | + | 1.06753i | 0.993262 | + | 0.115888i | \(0.0369713\pi\) |
−0.307201 | + | 0.951645i | \(0.599392\pi\) | |||||||
\(678\) | −15.8181 | + | 2.27429i | −0.607489 | + | 0.0873438i | ||||
\(679\) | −0.580382 | − | 4.03665i | −0.0222730 | − | 0.154912i | ||||
\(680\) | 9.54233 | + | 1.67389i | 0.365932 | + | 0.0641909i | ||||
\(681\) | −15.6018 | + | 18.0054i | −0.597861 | + | 0.689968i | ||||
\(682\) | 2.17661 | + | 0.994023i | 0.0833465 | + | 0.0380631i | ||||
\(683\) | −6.05584 | + | 9.42307i | −0.231720 | + | 0.360564i | −0.937569 | − | 0.347799i | \(-0.886929\pi\) |
0.705849 | + | 0.708362i | \(0.250566\pi\) | |||||||
\(684\) | −1.41790 | + | 0.416332i | −0.0542147 | + | 0.0159189i | ||||
\(685\) | 27.0095 | + | 0.833545i | 1.03198 | + | 0.0318481i | ||||
\(686\) | 18.7514 | + | 5.50592i | 0.715933 | + | 0.210217i | ||||
\(687\) | 25.9948 | − | 11.8714i | 0.991764 | − | 0.452923i | ||||
\(688\) | 1.96071 | + | 0.281908i | 0.0747515 | + | 0.0107476i | ||||
\(689\) | −18.3229 | −0.698047 | ||||||||
\(690\) | 9.67625 | + | 4.62278i | 0.368369 | + | 0.175986i | ||||
\(691\) | −40.6308 | −1.54567 | −0.772834 | − | 0.634608i | \(-0.781161\pi\) | ||||
−0.772834 | + | 0.634608i | \(0.781161\pi\) | |||||||
\(692\) | 23.4795 | + | 3.37584i | 0.892556 | + | 0.128330i | ||||
\(693\) | −3.07451 | + | 1.40408i | −0.116791 | + | 0.0533367i | ||||
\(694\) | 15.0518 | + | 4.41960i | 0.571358 | + | 0.167766i | ||||
\(695\) | −0.0277363 | + | 0.898745i | −0.00105210 | + | 0.0340913i | ||||
\(696\) | 4.32057 | − | 1.26863i | 0.163771 | − | 0.0480874i | ||||
\(697\) | −25.3906 | + | 39.5086i | −0.961738 | + | 1.49649i | ||||
\(698\) | −18.9260 | − | 8.64320i | −0.716359 | − | 0.327150i | ||||
\(699\) | −8.02956 | + | 9.26661i | −0.303706 | + | 0.350495i | ||||
\(700\) | 9.78423 | − | 7.47352i | 0.369809 | − | 0.282473i | ||||
\(701\) | −2.36552 | − | 16.4526i | −0.0893445 | − | 0.621405i | −0.984465 | − | 0.175581i | \(-0.943820\pi\) |
0.895121 | − | 0.445824i | \(-0.147089\pi\) | |||||||
\(702\) | 2.34591 | − | 0.337291i | 0.0885407 | − | 0.0127302i | ||||
\(703\) | 5.14459 | + | 8.00513i | 0.194032 | + | 0.301919i | ||||
\(704\) | −0.898880 | + | 1.03736i | −0.0338778 | + | 0.0390971i | ||||
\(705\) | −13.3743 | + | 5.61595i | −0.503706 | + | 0.211509i | ||||
\(706\) | 1.23026 | + | 0.790641i | 0.0463015 | + | 0.0297562i | ||||
\(707\) | −5.49654 | − | 18.7195i | −0.206719 | − | 0.704019i | ||||
\(708\) | −9.59152 | + | 8.31110i | −0.360471 | + | 0.312350i | ||||
\(709\) | −14.2543 | − | 4.18545i | −0.535333 | − | 0.157188i | 0.00288153 | − | 0.999996i | \(-0.499083\pi\) |
−0.538214 | + | 0.842808i | \(0.680901\pi\) | |||||||
\(710\) | 0.599026 | + | 0.196154i | 0.0224810 | + | 0.00736153i | ||||
\(711\) | 0.516617 | − | 3.59315i | 0.0193746 | − | 0.134754i | ||||
\(712\) | 11.8739i | 0.444992i | ||||||||
\(713\) | −3.57586 | − | 7.55704i | −0.133917 | − | 0.283013i | ||||
\(714\) | 10.6686 | 0.399263 | ||||||||
\(715\) | 4.59182 | + | 5.64190i | 0.171724 | + | 0.210995i | ||||
\(716\) | −3.51833 | − | 7.70406i | −0.131486 | − | 0.287914i | ||||
\(717\) | −5.31292 | + | 18.0941i | −0.198415 | + | 0.675738i | ||||
\(718\) | 6.24188 | − | 5.40862i | 0.232945 | − | 0.201848i | ||||
\(719\) | 22.6693 | − | 6.65631i | 0.845422 | − | 0.248238i | 0.169793 | − | 0.985480i | \(-0.445690\pi\) |
0.675629 | + | 0.737241i | \(0.263872\pi\) | |||||||
\(720\) | 0.563493 | + | 2.16390i | 0.0210001 | + | 0.0806439i | ||||
\(721\) | 1.47132 | − | 3.22175i | 0.0547950 | − | 0.119984i | ||||
\(722\) | 12.7089 | + | 11.0123i | 0.472975 | + | 0.409835i | ||||
\(723\) | −1.22951 | − | 1.91315i | −0.0457259 | − | 0.0711509i | ||||
\(724\) | 0.490131 | + | 3.40894i | 0.0182156 | + | 0.126692i | ||||
\(725\) | 21.9529 | − | 4.99899i | 0.815309 | − | 0.185658i | ||||
\(726\) | −7.66878 | + | 4.92842i | −0.284615 | + | 0.182911i | ||||
\(727\) | −5.18426 | − | 4.49218i | −0.192273 | − | 0.166606i | 0.553404 | − | 0.832913i | \(-0.313329\pi\) |
−0.745677 | + | 0.666307i | \(0.767874\pi\) | |||||||
\(728\) | −5.30858 | − | 2.42435i | −0.196749 | − | 0.0898523i | ||||
\(729\) | −0.841254 | − | 0.540641i | −0.0311575 | − | 0.0200237i | ||||
\(730\) | 15.1512 | + | 7.49248i | 0.560770 | + | 0.277309i | ||||
\(731\) | 5.62027 | + | 6.48613i | 0.207873 | + | 0.239898i | ||||
\(732\) | 2.07488 | − | 7.06640i | 0.0766899 | − | 0.261182i | ||||
\(733\) | −12.4508 | + | 5.68609i | −0.459881 | + | 0.210020i | −0.631864 | − | 0.775079i | \(-0.717710\pi\) |
0.171983 | + | 0.985100i | \(0.444983\pi\) | |||||||
\(734\) | 1.55653 | − | 10.8259i | 0.0574527 | − | 0.399593i | ||||
\(735\) | −1.41966 | + | 1.53973i | −0.0523650 | + | 0.0567936i | ||||
\(736\) | 4.73732 | − | 0.746846i | 0.174620 | − | 0.0275291i | ||||
\(737\) | 12.3814i | 0.456076i | ||||||||
\(738\) | −10.7293 | − | 1.54264i | −0.394950 | − | 0.0567853i | ||||
\(739\) | 0.375514 | + | 0.822260i | 0.0138135 | + | 0.0302473i | 0.916413 | − | 0.400234i | \(-0.131071\pi\) |
−0.902600 | + | 0.430481i | \(0.858344\pi\) | |||||||
\(740\) | 12.3473 | − | 7.40718i | 0.453897 | − | 0.272293i | ||||
\(741\) | 2.29354 | + | 2.64689i | 0.0842554 | + | 0.0972360i | ||||
\(742\) | −5.36333 | − | 18.2658i | −0.196894 | − | 0.670559i | ||||
\(743\) | −21.3637 | + | 33.2425i | −0.783757 | + | 1.21955i | 0.187674 | + | 0.982231i | \(0.439905\pi\) |
−0.971432 | + | 0.237319i | \(0.923731\pi\) | |||||||
\(744\) | 0.724175 | − | 1.58572i | 0.0265495 | − | 0.0581354i | ||||
\(745\) | 3.19301 | − | 0.358953i | 0.116983 | − | 0.0131510i | ||||
\(746\) | 26.2127 | − | 16.8459i | 0.959715 | − | 0.616772i | ||||
\(747\) | 14.2798 | − | 2.05312i | 0.522470 | − | 0.0751198i | ||||
\(748\) | −5.88655 | + | 0.846358i | −0.215233 | + | 0.0309459i | ||||
\(749\) | −31.6890 | + | 20.3653i | −1.15789 | + | 0.744131i | ||||
\(750\) | 2.14493 | + | 10.9727i | 0.0783218 | + | 0.400665i | ||||
\(751\) | −8.29003 | + | 18.1526i | −0.302508 | + | 0.662399i | −0.998448 | − | 0.0557008i | \(-0.982261\pi\) |
0.695940 | + | 0.718100i | \(0.254988\pi\) | |||||||
\(752\) | −3.50718 | + | 5.45728i | −0.127894 | + | 0.199007i | ||||
\(753\) | −3.91736 | − | 13.3413i | −0.142756 | − | 0.486184i | ||||
\(754\) | −6.98880 | − | 8.06551i | −0.254517 | − | 0.293728i | ||||
\(755\) | −3.48033 | − | 5.80149i | −0.126662 | − | 0.211138i | ||||
\(756\) | 1.02292 | + | 2.23987i | 0.0372031 | + | 0.0814634i | ||||
\(757\) | −28.6003 | − | 4.11210i | −1.03950 | − | 0.149457i | −0.398631 | − | 0.917111i | \(-0.630515\pi\) |
−0.640864 | + | 0.767654i | \(0.721424\pi\) | |||||||
\(758\) | − | 31.5464i | − | 1.14582i | ||||||
\(759\) | −6.52800 | − | 0.848373i | −0.236951 | − | 0.0307940i | ||||
\(760\) | −2.23990 | + | 2.42934i | −0.0812498 | + | 0.0881213i | ||||
\(761\) | −1.33674 | + | 9.29720i | −0.0484566 | + | 0.337023i | 0.951144 | + | 0.308749i | \(0.0999103\pi\) |
−0.999600 | + | 0.0282743i | \(0.990999\pi\) | |||||||
\(762\) | 0.0238498 | − | 0.0108918i | 0.000863986 | − | 0.000394569i | ||||
\(763\) | 4.65422 | − | 15.8508i | 0.168494 | − | 0.573838i | ||||
\(764\) | −3.16794 | − | 3.65600i | −0.114612 | − | 0.132269i | ||||
\(765\) | −4.29448 | + | 8.68421i | −0.155267 | + | 0.313978i | ||||
\(766\) | −9.78243 | − | 6.28679i | −0.353454 | − | 0.227151i | ||||
\(767\) | 27.3609 | + | 12.4953i | 0.987944 | + | 0.451179i | ||||
\(768\) | 0.755750 | + | 0.654861i | 0.0272708 | + | 0.0236303i | ||||
\(769\) | 4.23787 | − | 2.72352i | 0.152822 | − | 0.0982125i | −0.461995 | − | 0.886882i | \(-0.652866\pi\) |
0.614817 | + | 0.788670i | \(0.289230\pi\) | |||||||
\(770\) | −4.28024 | + | 6.22896i | −0.154249 | + | 0.224476i | ||||
\(771\) | −1.76132 | − | 12.2503i | −0.0634324 | − | 0.441182i | ||||
\(772\) | 0.107202 | + | 0.166810i | 0.00385829 | + | 0.00600362i | ||||
\(773\) | 19.7485 | + | 17.1122i | 0.710303 | + | 0.615481i | 0.933199 | − | 0.359361i | \(-0.117005\pi\) |
−0.222895 | + | 0.974842i | \(0.571551\pi\) | |||||||
\(774\) | −0.822885 | + | 1.80187i | −0.0295780 | + | 0.0647668i | ||||
\(775\) | 4.10289 | − | 7.69024i | 0.147380 | − | 0.276242i | ||||
\(776\) | 1.58909 | − | 0.466598i | 0.0570450 | − | 0.0167499i | ||||
\(777\) | 11.9832 | − | 10.3835i | 0.429896 | − | 0.372507i | ||||
\(778\) | −4.06800 | + | 13.8543i | −0.145845 | + | 0.496702i | ||||
\(779\) | −6.65425 | − | 14.5708i | −0.238413 | − | 0.522052i | ||||
\(780\) | 4.11029 | − | 3.34528i | 0.147172 | − | 0.119780i | ||||
\(781\) | −0.386929 | −0.0138454 | ||||||||
\(782\) | 17.6308 | + | 10.9956i | 0.630475 | + | 0.393201i | ||||
\(783\) | 4.50297i | 0.160923i | ||||||||
\(784\) | −0.133294 | + | 0.927077i | −0.00476048 | + | 0.0331099i | ||||
\(785\) | 38.0935 | + | 12.4739i | 1.35961 | + | 0.445212i | ||||
\(786\) | 5.28448 | + | 1.55166i | 0.188491 | + | 0.0553460i | ||||
\(787\) | 18.9116 | − | 16.3870i | 0.674125 | − | 0.584133i | −0.249060 | − | 0.968488i | \(-0.580122\pi\) |
0.923185 | + | 0.384355i | \(0.125576\pi\) | |||||||
\(788\) | −5.39699 | − | 18.3804i | −0.192260 | − | 0.654776i | ||||
\(789\) | −10.1424 | − | 6.51812i | −0.361079 | − | 0.232051i | ||||
\(790\) | −3.14262 | − | 7.48412i | −0.111809 | − | 0.266273i | ||||
\(791\) | −25.7693 | + | 29.7394i | −0.916252 | + | 1.05741i | ||||
\(792\) | −0.742099 | − | 1.15473i | −0.0263693 | − | 0.0410315i | ||||
\(793\) | −17.2770 | + | 2.48406i | −0.613524 | + | 0.0882114i | ||||
\(794\) | 1.86506 | + | 12.9717i | 0.0661884 | + | 0.460350i | ||||
\(795\) | 17.0272 | + | 2.98687i | 0.603893 | + | 0.105933i | ||||
\(796\) | −0.154992 | + | 0.178870i | −0.00549353 | + | 0.00633987i | ||||
\(797\) | 32.6954 | + | 14.9315i | 1.15813 | + | 0.528901i | 0.899434 | − | 0.437057i | \(-0.143979\pi\) |
0.258698 | + | 0.965958i | \(0.416707\pi\) | |||||||
\(798\) | −1.96730 | + | 3.06117i | −0.0696415 | + | 0.108364i | ||||
\(799\) | −26.9676 | + | 7.91840i | −0.954045 | + | 0.280133i | ||||
\(800\) | 3.56965 | + | 3.50108i | 0.126206 | + | 0.123782i | ||||
\(801\) | −11.3929 | − | 3.34526i | −0.402548 | − | 0.118199i | ||||
\(802\) | −20.9990 | + | 9.58990i | −0.741499 | + | 0.338631i | ||||
\(803\) | −10.2701 | − | 1.47662i | −0.362425 | − | 0.0521089i | ||||
\(804\) | 9.02023 | 0.318119 | ||||||||
\(805\) | 25.4614 | − | 7.00043i | 0.897397 | − | 0.246733i | ||||
\(806\) | −4.13158 | −0.145529 | ||||||||
\(807\) | −30.6622 | − | 4.40857i | −1.07936 | − | 0.155189i | ||||
\(808\) | 7.20709 | − | 3.29137i | 0.253545 | − | 0.115790i | ||||
\(809\) | −50.4839 | − | 14.8234i | −1.77492 | − | 0.521163i | −0.780358 | − | 0.625333i | \(-0.784963\pi\) |
−0.994560 | + | 0.104170i | \(0.966781\pi\) | |||||||
\(810\) | −2.23500 | − | 0.0689747i | −0.0785300 | − | 0.00242352i | ||||
\(811\) | 47.0871 | − | 13.8260i | 1.65345 | − | 0.485498i | 0.683736 | − | 0.729729i | \(-0.260354\pi\) |
0.969717 | + | 0.244231i | \(0.0785356\pi\) | |||||||
\(812\) | 5.99467 | − | 9.32789i | 0.210372 | − | 0.327345i | ||||
\(813\) | −3.60713 | − | 1.64732i | −0.126508 | − | 0.0577741i | ||||
\(814\) | −5.78816 | + | 6.67989i | −0.202875 | + | 0.234130i | ||||
\(815\) | −2.38345 | + | 13.5873i | −0.0834887 | + | 0.475942i | ||||
\(816\) | 0.616596 | + | 4.28852i | 0.0215852 | + | 0.150128i | ||||
\(817\) | −2.89746 | + | 0.416592i | −0.101369 | + | 0.0145747i | ||||
\(818\) | 4.05021 | + | 6.30225i | 0.141612 | + | 0.220353i | ||||
\(819\) | 3.82174 | − | 4.41053i | 0.133543 | − | 0.154116i | ||||
\(820\) | −22.3478 | + | 9.38399i | −0.780421 | + | 0.327703i | ||||
\(821\) | −28.6574 | − | 18.4170i | −1.00015 | − | 0.642758i | −0.0653251 | − | 0.997864i | \(-0.520808\pi\) |
−0.934826 | + | 0.355106i | \(0.884445\pi\) | |||||||
\(822\) | 3.40468 | + | 11.5953i | 0.118752 | + | 0.404431i | ||||
\(823\) | −22.4031 | + | 19.4124i | −0.780922 | + | 0.676673i | −0.951149 | − | 0.308732i | \(-0.900095\pi\) |
0.170227 | + | 0.985405i | \(0.445550\pi\) | |||||||
\(824\) | 1.38010 | + | 0.405234i | 0.0480780 | + | 0.0141170i | ||||
\(825\) | −3.34741 | − | 5.99146i | −0.116542 | − | 0.208596i | ||||
\(826\) | −4.44752 | + | 30.9332i | −0.154749 | + | 1.07630i | ||||
\(827\) | − | 20.4925i | − | 0.712594i | −0.934373 | − | 0.356297i | \(-0.884039\pi\) | ||
0.934373 | − | 0.356297i | \(-0.115961\pi\) | |||||||
\(828\) | −0.618065 | + | 4.75584i | −0.0214792 | + | 0.165277i | ||||
\(829\) | −5.54128 | −0.192456 | −0.0962282 | − | 0.995359i | \(-0.530678\pi\) | ||||
−0.0962282 | + | 0.995359i | \(0.530678\pi\) | |||||||
\(830\) | 25.0197 | − | 20.3630i | 0.868446 | − | 0.706810i | ||||
\(831\) | 5.70062 | + | 12.4826i | 0.197752 | + | 0.433017i | ||||
\(832\) | 0.667716 | − | 2.27403i | 0.0231489 | − | 0.0788379i | ||||
\(833\) | −3.06682 | + | 2.65741i | −0.106259 | + | 0.0920738i | ||||
\(834\) | −0.385834 | + | 0.113291i | −0.0133603 | + | 0.00392295i | ||||
\(835\) | 8.79600 | − | 2.29053i | 0.304398 | − | 0.0792670i | ||||
\(836\) | 0.842633 | − | 1.84511i | 0.0291431 | − | 0.0638144i | ||||
\(837\) | 1.31746 | + | 1.14159i | 0.0455382 | + | 0.0394591i | ||||
\(838\) | −15.0567 | − | 23.4286i | −0.520124 | − | 0.809328i | ||||
\(839\) | 4.17943 | + | 29.0685i | 0.144290 | + | 1.00356i | 0.925353 | + | 0.379106i | \(0.123768\pi\) |
−0.781063 | + | 0.624452i | \(0.785323\pi\) | |||||||
\(840\) | 4.53798 | + | 3.11828i | 0.156575 | + | 0.107591i | ||||
\(841\) | −7.33848 | + | 4.71616i | −0.253051 | + | 0.162626i | ||||
\(842\) | −24.0106 | − | 20.8053i | −0.827459 | − | 0.716997i | ||||
\(843\) | 23.2142 | + | 10.6016i | 0.799540 | + | 0.365138i | ||||
\(844\) | 18.5056 | + | 11.8928i | 0.636989 | + | 0.409368i | ||||
\(845\) | 14.7982 | + | 7.31793i | 0.509073 | + | 0.251744i | ||||
\(846\) | −4.24814 | − | 4.90261i | −0.146054 | − | 0.168555i | ||||
\(847\) | −6.32403 | + | 21.5377i | −0.217296 | + | 0.740043i | ||||
\(848\) | 7.03243 | − | 3.21160i | 0.241495 | − | 0.110287i | ||||
\(849\) | −0.455408 | + | 3.16743i | −0.0156296 | + | 0.108706i | ||||
\(850\) | 1.75489 | + | 21.5919i | 0.0601922 | + | 0.740596i | ||||
\(851\) | 30.5050 | − | 4.80916i | 1.04570 | − | 0.164856i | ||||
\(852\) | 0.281889i | 0.00965737i | ||||||||
\(853\) | 23.0248 | + | 3.31047i | 0.788355 | + | 0.113348i | 0.524721 | − | 0.851274i | \(-0.324170\pi\) |
0.263634 | + | 0.964623i | \(0.415079\pi\) | |||||||
\(854\) | −7.53349 | − | 16.4960i | −0.257791 | − | 0.564483i | ||||
\(855\) | −1.69988 | − | 2.83359i | −0.0581346 | − | 0.0969069i | ||||
\(856\) | −10.0178 | − | 11.5612i | −0.342402 | − | 0.395153i | ||||
\(857\) | −2.47161 | − | 8.41753i | −0.0844285 | − | 0.287537i | 0.906447 | − | 0.422321i | \(-0.138784\pi\) |
−0.990875 | + | 0.134783i | \(0.956966\pi\) | |||||||
\(858\) | −1.75880 | + | 2.73675i | −0.0600445 | + | 0.0934310i | ||||
\(859\) | 14.8316 | − | 32.4767i | 0.506048 | − | 1.10809i | −0.468408 | − | 0.883513i | \(-0.655172\pi\) |
0.974456 | − | 0.224579i | \(-0.0721006\pi\) | |||||||
\(860\) | 0.494826 | + | 4.40164i | 0.0168734 | + | 0.150095i | ||||
\(861\) | −22.4542 | + | 14.4305i | −0.765238 | + | 0.491789i | ||||
\(862\) | −27.1245 | + | 3.89992i | −0.923865 | + | 0.132832i | ||||
\(863\) | −18.4051 | + | 2.64626i | −0.626517 | + | 0.0900796i | −0.448258 | − | 0.893904i | \(-0.647956\pi\) |
−0.178259 | + | 0.983984i | \(0.557046\pi\) | |||||||
\(864\) | −0.841254 | + | 0.540641i | −0.0286200 | + | 0.0183930i | ||||
\(865\) | 5.92552 | + | 52.7096i | 0.201474 | + | 1.79218i | ||||
\(866\) | 1.65350 | − | 3.62066i | 0.0561882 | − | 0.123035i | ||||
\(867\) | −0.957805 | + | 1.49037i | −0.0325288 | + | 0.0506157i | ||||
\(868\) | −1.20936 | − | 4.11870i | −0.0410484 | − | 0.139798i | ||||
\(869\) | 3.26302 | + | 3.76573i | 0.110691 | + | 0.127744i | ||||
\(870\) | 5.17981 | + | 8.63442i | 0.175612 | + | 0.292734i | ||||
\(871\) | −8.88086 | − | 19.4464i | −0.300916 | − | 0.658915i | ||||
\(872\) | 6.64062 | + | 0.954777i | 0.224880 | + | 0.0323328i | ||||
\(873\) | 1.65618i | 0.0560530i | ||||||||
\(874\) | −6.40610 | + | 3.03125i | −0.216690 | + | 0.102534i | ||||
\(875\) | 21.6853 | + | 16.9609i | 0.733098 | + | 0.573382i | ||||
\(876\) | −1.07576 | + | 7.48210i | −0.0363467 | + | 0.252797i | ||||
\(877\) | −39.8205 | + | 18.1854i | −1.34464 | + | 0.614078i | −0.952137 | − | 0.305672i | \(-0.901119\pi\) |
−0.392506 | + | 0.919750i | \(0.628392\pi\) | |||||||
\(878\) | 6.67085 | − | 22.7188i | 0.225130 | − | 0.766724i | ||||
\(879\) | 18.1364 | + | 20.9305i | 0.611726 | + | 0.705969i | ||||
\(880\) | −2.75127 | − | 1.36054i | −0.0927451 | − | 0.0458639i | ||||
\(881\) | −12.1724 | − | 7.82272i | −0.410098 | − | 0.263554i | 0.319286 | − | 0.947658i | \(-0.396557\pi\) |
−0.729384 | + | 0.684104i | \(0.760193\pi\) | |||||||
\(882\) | −0.851971 | − | 0.389082i | −0.0286873 | − | 0.0131011i | ||||
\(883\) | −43.8903 | − | 38.0312i | −1.47703 | − | 1.27985i | −0.877574 | − | 0.479441i | \(-0.840839\pi\) |
−0.599453 | − | 0.800410i | \(-0.704615\pi\) | |||||||
\(884\) | 8.63839 | − | 5.55155i | 0.290540 | − | 0.186719i | ||||
\(885\) | −23.3892 | − | 16.0719i | −0.786218 | − | 0.540250i | ||||
\(886\) | 0.674710 | + | 4.69271i | 0.0226673 | + | 0.157655i | ||||
\(887\) | 19.0909 | + | 29.7060i | 0.641010 | + | 0.997431i | 0.997993 | + | 0.0633204i | \(0.0201690\pi\) |
−0.356983 | + | 0.934111i | \(0.616195\pi\) | |||||||
\(888\) | 4.86649 | + | 4.21684i | 0.163309 | + | 0.141508i | ||||
\(889\) | 0.0268200 | − | 0.0587276i | 0.000899513 | − | 0.00196966i | ||||
\(890\) | −25.6939 | + | 6.69084i | −0.861261 | + | 0.224277i | ||||
\(891\) | 1.31703 | − | 0.386714i | 0.0441221 | − | 0.0129554i | ||||
\(892\) | −5.90418 | + | 5.11600i | −0.197687 | + | 0.171296i | ||||
\(893\) | 2.70078 | − | 9.19802i | 0.0903783 | − | 0.307800i | ||||
\(894\) | 0.596932 | + | 1.30710i | 0.0199644 | + | 0.0437159i | ||||
\(895\) | 14.6883 | − | 11.9545i | 0.490975 | − | 0.399595i | ||||
\(896\) | 2.46240 | 0.0822628 | ||||||||
\(897\) | 10.8614 | − | 3.34989i | 0.362653 | − | 0.111850i | ||||
\(898\) | − | 24.2716i | − | 0.809955i | ||||||
\(899\) | 1.11715 | − | 7.76993i | 0.0372589 | − | 0.259142i | ||||
\(900\) | −4.36495 | + | 2.43869i | −0.145498 | + | 0.0812896i | ||||
\(901\) | 32.1390 | + | 9.43685i | 1.07070 | + | 0.314387i | ||||
\(902\) | 11.2446 | − | 9.74351i | 0.374405 | − | 0.324423i | ||||
\(903\) | 1.37421 | + | 4.68012i | 0.0457307 | + | 0.155745i | ||||
\(904\) | −13.4438 | − | 8.63983i | −0.447136 | − | 0.287357i | ||||
\(905\) | −7.10042 | + | 2.98151i | −0.236026 | + | 0.0991086i | ||||
\(906\) | 1.98132 | − | 2.28656i | 0.0658249 | − | 0.0759660i | ||||
\(907\) | −15.3115 | − | 23.8252i | −0.508411 | − | 0.791103i | 0.488254 | − | 0.872702i | \(-0.337634\pi\) |
−0.996665 | + | 0.0815981i | \(0.973998\pi\) | |||||||
\(908\) | −23.5820 | + | 3.39059i | −0.782598 | + | 0.112521i | ||||
\(909\) | 1.12757 | + | 7.84244i | 0.0373992 | + | 0.260117i | ||||
\(910\) | 2.25471 | − | 12.8534i | 0.0747428 | − | 0.426085i | ||||
\(911\) | −11.5872 | + | 13.3724i | −0.383901 | + | 0.443046i | −0.914505 | − | 0.404574i | \(-0.867420\pi\) |
0.530604 | + | 0.847620i | \(0.321965\pi\) | |||||||
\(912\) | −1.34422 | − | 0.613883i | −0.0445114 | − | 0.0203277i | ||||
\(913\) | −10.7060 | + | 16.6588i | −0.354316 | + | 0.551327i | ||||
\(914\) | −19.0621 | + | 5.59713i | −0.630517 | + | 0.185137i | ||||
\(915\) | 16.4602 | + | 0.507980i | 0.544157 | + | 0.0167933i | ||||
\(916\) | 27.4197 | + | 8.05115i | 0.905972 | + | 0.266018i | ||||
\(917\) | 12.3363 | − | 5.63378i | 0.407379 | − | 0.186044i | ||||
\(918\) | −4.28852 | − | 0.616596i | −0.141542 | − | 0.0203507i | ||||
\(919\) | 34.7480 | 1.14623 | 0.573116 | − | 0.819475i | \(-0.305735\pi\) | ||||
0.573116 | + | 0.819475i | \(0.305735\pi\) | |||||||
\(920\) | 4.28555 | + | 9.83026i | 0.141290 | + | 0.324094i | ||||
\(921\) | 16.2086 | 0.534091 | ||||||||
\(922\) | −30.3599 | − | 4.36509i | −0.999850 | − | 0.143757i | ||||
\(923\) | 0.607714 | − | 0.277534i | 0.0200032 | − | 0.00913514i | ||||
\(924\) | −3.24304 | − | 0.952243i | −0.106688 | − | 0.0313265i | ||||
\(925\) | 22.9860 | + | 22.5445i | 0.755776 | + | 0.741259i | ||||
\(926\) | 9.27342 | − | 2.72292i | 0.304743 | − | 0.0894807i | ||||
\(927\) | −0.777638 | + | 1.21003i | −0.0255410 | + | 0.0397425i | ||||
\(928\) | 4.09604 | + | 1.87060i | 0.134459 | + | 0.0614055i | ||||
\(929\) | −32.3398 | + | 37.3221i | −1.06103 | + | 1.22450i | −0.0874495 | + | 0.996169i | \(0.527872\pi\) |
−0.973584 | + | 0.228329i | \(0.926674\pi\) | |||||||
\(930\) | 3.83941 | + | 0.673501i | 0.125899 | + | 0.0220850i | ||||
\(931\) | −0.196976 | − | 1.37000i | −0.00645561 | − | 0.0448998i | ||||
\(932\) | −12.1367 | + | 1.74499i | −0.397550 | + | 0.0571591i | ||||
\(933\) | 3.90321 | + | 6.07351i | 0.127785 | + | 0.198838i | ||||
\(934\) | 17.2770 | − | 19.9388i | 0.565322 | − | 0.652417i | ||||
\(935\) | −5.14846 | − | 12.2610i | −0.168373 | − | 0.400978i | ||||
\(936\) | 1.99380 | + | 1.28134i | 0.0651694 | + | 0.0418818i | ||||
\(937\) | −8.60294 | − | 29.2989i | −0.281046 | − | 0.957154i | −0.972142 | − | 0.234391i | \(-0.924690\pi\) |
0.691097 | − | 0.722762i | \(-0.257128\pi\) | |||||||
\(938\) | 16.7862 | − | 14.5454i | 0.548090 | − | 0.474923i | ||||
\(939\) | 6.47172 | + | 1.90027i | 0.211197 | + | 0.0620129i | ||||
\(940\) | −13.7853 | − | 4.51406i | −0.449627 | − | 0.147233i | ||||
\(941\) | 5.36039 | − | 37.2823i | 0.174744 | − | 1.21537i | −0.693951 | − | 0.720022i | \(-0.744132\pi\) |
0.868695 | − | 0.495348i | \(-0.164959\pi\) | |||||||
\(942\) | 17.9260i | 0.584061i | ||||||||
\(943\) | −51.9802 | + | 0.705145i | −1.69271 | + | 0.0229627i | ||||
\(944\) | −12.6914 | −0.413070 | ||||||||
\(945\) | −4.27046 | + | 3.47564i | −0.138918 | + | 0.113063i | ||||
\(946\) | −1.12952 | − | 2.47329i | −0.0367237 | − | 0.0804137i | ||||
\(947\) | 11.0913 | − | 37.7735i | 0.360418 | − | 1.22747i | −0.557323 | − | 0.830295i | \(-0.688172\pi\) |
0.917742 | − | 0.397177i | \(-0.130010\pi\) | |||||||
\(948\) | 2.74345 | − | 2.37721i | 0.0891030 | − | 0.0772082i | ||||
\(949\) | 17.1895 | − | 5.04729i | 0.557995 | − | 0.163842i | ||||
\(950\) | −6.51902 | − | 3.47802i | −0.211505 | − | 0.112842i | ||||
\(951\) | 11.7074 | − | 25.6356i | 0.379637 | − | 0.831290i | ||||
\(952\) | 8.06281 | + | 6.98646i | 0.261317 | + | 0.226433i | ||||
\(953\) | −3.07781 | − | 4.78916i | −0.0997000 | − | 0.155136i | 0.787820 | − | 0.615906i | \(-0.211210\pi\) |
−0.887520 | + | 0.460770i | \(0.847573\pi\) | |||||||
\(954\) | 1.10025 | + | 7.65238i | 0.0356218 | + | 0.247755i | ||||
\(955\) | 6.12612 | − | 8.91525i | 0.198237 | − | 0.288491i | ||||
\(956\) | −15.8644 | + | 10.1954i | −0.513091 | + | 0.329743i | ||||
\(957\) | −4.67121 | − | 4.04763i | −0.150999 | − | 0.130841i | ||||
\(958\) | −13.3732 | − | 6.10732i | −0.432067 | − | 0.197319i | ||||
\(959\) | 25.0336 | + | 16.0881i | 0.808378 | + | 0.519513i | ||||
\(960\) | −0.991196 | + | 2.00438i | −0.0319907 | + | 0.0646910i | ||||
\(961\) | 18.3106 | + | 21.1316i | 0.590665 | + | 0.681663i | ||||
\(962\) | 4.29962 | − | 14.6432i | 0.138625 | − | 0.472115i | ||||
\(963\) | 13.9152 | − | 6.35486i | 0.448411 | − | 0.204782i | ||||
\(964\) | 0.323648 | − | 2.25102i | 0.0104240 | − | 0.0725005i | ||||
\(965\) | −0.300553 | + | 0.325972i | −0.00967514 | + | 0.0104934i | ||||
\(966\) | 6.51872 | + | 9.84704i | 0.209736 | + | 0.316823i | ||||
\(967\) | 46.9609i | 1.51016i | 0.655632 | + | 0.755081i | \(0.272402\pi\) | ||||
−0.655632 | + | 0.755081i | \(0.727598\pi\) | |||||||
\(968\) | −9.02311 | − | 1.29733i | −0.290014 | − | 0.0416977i | ||||
\(969\) | −2.65972 | − | 5.82398i | −0.0854426 | − | 0.187093i | ||||
\(970\) | 1.90511 | + | 3.17571i | 0.0611695 | + | 0.101966i | ||||
\(971\) | 4.00582 | + | 4.62296i | 0.128553 | + | 0.148358i | 0.816377 | − | 0.577520i | \(-0.195979\pi\) |
−0.687824 | + | 0.725878i | \(0.741434\pi\) | |||||||
\(972\) | −0.281733 | − | 0.959493i | −0.00903658 | − | 0.0307758i | ||||
\(973\) | −0.535334 | + | 0.832996i | −0.0171620 | + | 0.0267046i | ||||
\(974\) | −11.7798 | + | 25.7942i | −0.377449 | + | 0.826499i | ||||
\(975\) | 9.55497 | + | 7.00922i | 0.306004 | + | 0.224475i | ||||
\(976\) | 6.19560 | − | 3.98167i | 0.198316 | − | 0.127450i | ||||
\(977\) | −23.3775 | + | 3.36118i | −0.747914 | + | 0.107534i | −0.505724 | − | 0.862695i | \(-0.668775\pi\) |
−0.242189 | + | 0.970229i | \(0.577866\pi\) | |||||||
\(978\) | −6.10641 | + | 0.877969i | −0.195262 | + | 0.0280744i | ||||
\(979\) | 13.7111 | − | 8.81158i | 0.438208 | − | 0.281619i | ||||
\(980\) | −2.08121 | + | 0.233967i | −0.0664820 | + | 0.00747379i | ||||
\(981\) | −2.78698 | + | 6.10264i | −0.0889814 | + | 0.194842i | ||||
\(982\) | −3.24208 | + | 5.04477i | −0.103459 | + | 0.160985i | ||||
\(983\) | 5.17236 | + | 17.6155i | 0.164973 | + | 0.561846i | 0.999933 | + | 0.0115361i | \(0.00367214\pi\) |
−0.834961 | + | 0.550310i | \(0.814510\pi\) | |||||||
\(984\) | −7.09843 | − | 8.19203i | −0.226290 | − | 0.261152i | ||||
\(985\) | 36.7323 | − | 22.0358i | 1.17039 | − | 0.702119i | ||||
\(986\) | 8.10461 | + | 17.7466i | 0.258103 | + | 0.565167i | ||||
\(987\) | −15.8112 | − | 2.27330i | −0.503275 | − | 0.0723601i | ||||
\(988\) | 3.50234i | 0.111424i | ||||||||
\(989\) | −2.55256 | + | 9.15059i | −0.0811665 | + | 0.290972i | ||||
\(990\) | 2.08055 | − | 2.25651i | 0.0661243 | − | 0.0717166i | ||||
\(991\) | 7.08164 | − | 49.2539i | 0.224956 | − | 1.56460i | −0.493947 | − | 0.869492i | \(-0.664446\pi\) |
0.718903 | − | 0.695110i | \(-0.244644\pi\) | |||||||
\(992\) | 1.58572 | − | 0.724175i | 0.0503467 | − | 0.0229926i | ||||
\(993\) | −8.19554 | + | 27.9115i | −0.260078 | + | 0.885743i | ||||
\(994\) | 0.454554 | + | 0.524583i | 0.0144176 | + | 0.0166388i | ||||
\(995\) | −0.474393 | − | 0.234595i | −0.0150393 | − | 0.00743716i | ||||
\(996\) | 12.1364 | + | 7.79962i | 0.384558 | + | 0.247140i | ||||
\(997\) | −12.5957 | − | 5.75226i | −0.398910 | − | 0.182176i | 0.205851 | − | 0.978583i | \(-0.434004\pi\) |
−0.604760 | + | 0.796408i | \(0.706731\pi\) | |||||||
\(998\) | 5.05794 | + | 4.38273i | 0.160106 | + | 0.138733i | ||||
\(999\) | −5.41708 | + | 3.48135i | −0.171389 | + | 0.110145i |
(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 | 690.2.r.b.169.3 | yes | 120 | |
5.4 | even | 2 | inner | 690.2.r.b.169.12 | yes | 120 | |
23.3 | even | 11 | inner | 690.2.r.b.49.12 | yes | 120 | |
115.49 | even | 22 | inner | 690.2.r.b.49.3 | ✓ | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.r.b.49.3 | ✓ | 120 | 115.49 | even | 22 | inner | |
690.2.r.b.49.12 | yes | 120 | 23.3 | even | 11 | inner | |
690.2.r.b.169.3 | yes | 120 | 1.1 | even | 1 | trivial | |
690.2.r.b.169.12 | yes | 120 | 5.4 | even | 2 | inner |