Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(68,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 5, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.68");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.r (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 68.15 | ||
Character | \(\chi\) | \(=\) | 273.68 |
Dual form | 273.2.r.b.269.18 |
$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 0.546208i | − | 0.386228i | −0.981176 | − | 0.193114i | \(-0.938141\pi\) | ||
0.981176 | − | 0.193114i | \(-0.0618587\pi\) | |||||||
\(3\) | −1.72803 | + | 0.117898i | −0.997681 | + | 0.0680686i | ||||
\(4\) | 1.70166 | 0.850828 | ||||||||
\(5\) | −1.25657 | + | 2.17644i | −0.561955 | + | 0.973335i | 0.435371 | + | 0.900251i | \(0.356617\pi\) |
−0.997326 | + | 0.0730836i | \(0.976716\pi\) | |||||||
\(6\) | 0.0643970 | + | 0.943866i | 0.0262900 | + | 0.385332i | ||||
\(7\) | −0.612705 | − | 2.57383i | −0.231581 | − | 0.972816i | ||||
\(8\) | − | 2.02188i | − | 0.714841i | ||||||
\(9\) | 2.97220 | − | 0.407464i | 0.990733 | − | 0.135821i | ||||
\(10\) | 1.18879 | + | 0.686349i | 0.375929 | + | 0.217043i | ||||
\(11\) | 5.22008 | + | 3.01382i | 1.57391 | + | 0.908700i | 0.995682 | + | 0.0928275i | \(0.0295905\pi\) |
0.578232 | + | 0.815872i | \(0.303743\pi\) | |||||||
\(12\) | −2.94052 | + | 0.200622i | −0.848855 | + | 0.0579147i | ||||
\(13\) | 1.89716 | + | 3.06607i | 0.526176 | + | 0.850376i | ||||
\(14\) | −1.40585 | + | 0.334664i | −0.375728 | + | 0.0894428i | ||||
\(15\) | 1.91480 | − | 3.90911i | 0.494398 | − | 1.00933i | ||||
\(16\) | 2.29895 | 0.574737 | ||||||||
\(17\) | 0.647303 | 0.156994 | 0.0784970 | − | 0.996914i | \(-0.474988\pi\) | ||||
0.0784970 | + | 0.996914i | \(0.474988\pi\) | |||||||
\(18\) | −0.222560 | − | 1.62344i | −0.0524580 | − | 0.382649i | ||||
\(19\) | 1.98801 | − | 1.14778i | 0.456080 | − | 0.263318i | −0.254315 | − | 0.967122i | \(-0.581850\pi\) |
0.710394 | + | 0.703804i | \(0.248517\pi\) | |||||||
\(20\) | −2.13825 | + | 3.70356i | −0.478127 | + | 0.828141i | ||||
\(21\) | 1.36222 | + | 4.37543i | 0.297262 | + | 0.954796i | ||||
\(22\) | 1.64617 | − | 2.85125i | 0.350965 | − | 0.607889i | ||||
\(23\) | − | 1.03331i | − | 0.215460i | −0.994180 | − | 0.107730i | \(-0.965642\pi\) | ||
0.994180 | − | 0.107730i | \(-0.0343582\pi\) | |||||||
\(24\) | 0.238376 | + | 3.49387i | 0.0486582 | + | 0.713183i | ||||
\(25\) | −0.657937 | − | 1.13958i | −0.131587 | − | 0.227916i | ||||
\(26\) | 1.67471 | − | 1.03624i | 0.328438 | − | 0.203224i | ||||
\(27\) | −5.08802 | + | 1.05453i | −0.979190 | + | 0.202944i | ||||
\(28\) | −1.04261 | − | 4.37977i | −0.197035 | − | 0.827699i | ||||
\(29\) | −4.46255 | + | 2.57646i | −0.828676 | + | 0.478436i | −0.853399 | − | 0.521258i | \(-0.825463\pi\) |
0.0247234 | + | 0.999694i | \(0.492129\pi\) | |||||||
\(30\) | −2.13519 | − | 1.04588i | −0.389831 | − | 0.190950i | ||||
\(31\) | 9.25745 | − | 5.34479i | 1.66269 | − | 0.959953i | 0.691264 | − | 0.722602i | \(-0.257054\pi\) |
0.971424 | − | 0.237351i | \(-0.0762792\pi\) | |||||||
\(32\) | − | 5.29946i | − | 0.936820i | ||||||
\(33\) | −9.37580 | − | 4.59254i | −1.63212 | − | 0.799458i | ||||
\(34\) | − | 0.353562i | − | 0.0606354i | ||||||
\(35\) | 6.37170 | + | 1.90068i | 1.07701 | + | 0.321273i | ||||
\(36\) | 5.05766 | − | 0.693365i | 0.842944 | − | 0.115561i | ||||
\(37\) | −3.95532 | −0.650251 | −0.325126 | − | 0.945671i | \(-0.605407\pi\) | ||||
−0.325126 | + | 0.945671i | \(0.605407\pi\) | |||||||
\(38\) | −0.626924 | − | 1.08587i | −0.101701 | − | 0.176151i | ||||
\(39\) | −3.63983 | − | 5.07460i | −0.582840 | − | 0.812587i | ||||
\(40\) | 4.40050 | + | 2.54063i | 0.695780 | + | 0.401709i | ||||
\(41\) | −4.48689 | − | 7.77153i | −0.700735 | − | 1.21371i | −0.968209 | − | 0.250143i | \(-0.919522\pi\) |
0.267474 | − | 0.963565i | \(-0.413811\pi\) | |||||||
\(42\) | 2.38989 | − | 0.744058i | 0.368769 | − | 0.114811i | ||||
\(43\) | −4.09951 | + | 7.10056i | −0.625169 | + | 1.08282i | 0.363339 | + | 0.931657i | \(0.381637\pi\) |
−0.988508 | + | 0.151168i | \(0.951697\pi\) | |||||||
\(44\) | 8.88279 | + | 5.12848i | 1.33913 | + | 0.773147i | ||||
\(45\) | −2.84795 | + | 6.98083i | −0.424548 | + | 1.04064i | ||||
\(46\) | −0.564403 | −0.0832167 | ||||||||
\(47\) | −2.09646 | + | 3.63118i | −0.305800 | + | 0.529662i | −0.977439 | − | 0.211217i | \(-0.932257\pi\) |
0.671639 | + | 0.740879i | \(0.265591\pi\) | |||||||
\(48\) | −3.97266 | + | 0.271042i | −0.573404 | + | 0.0391216i | ||||
\(49\) | −6.24919 | + | 3.15399i | −0.892741 | + | 0.450571i | ||||
\(50\) | −0.622448 | + | 0.359370i | −0.0880274 | + | 0.0508226i | ||||
\(51\) | −1.11856 | + | 0.0763159i | −0.156630 | + | 0.0106864i | ||||
\(52\) | 3.22831 | + | 5.21740i | 0.447686 | + | 0.723524i | ||||
\(53\) | −0.0406517 | + | 0.0234703i | −0.00558394 | + | 0.00322389i | −0.502789 | − | 0.864409i | \(-0.667693\pi\) |
0.497205 | + | 0.867633i | \(0.334360\pi\) | |||||||
\(54\) | 0.575993 | + | 2.77912i | 0.0783827 | + | 0.378190i | ||||
\(55\) | −13.1188 | + | 7.57414i | −1.76894 | + | 1.02130i | ||||
\(56\) | −5.20396 | + | 1.23881i | −0.695408 | + | 0.165543i | ||||
\(57\) | −3.30002 | + | 2.21778i | −0.437098 | + | 0.293752i | ||||
\(58\) | 1.40728 | + | 2.43748i | 0.184785 | + | 0.320057i | ||||
\(59\) | 1.66230 | 0.216413 | 0.108206 | − | 0.994128i | \(-0.465489\pi\) | ||||
0.108206 | + | 0.994128i | \(0.465489\pi\) | |||||||
\(60\) | 3.25833 | − | 6.65197i | 0.420648 | − | 0.858766i | ||||
\(61\) | −3.11142 | + | 1.79638i | −0.398377 | + | 0.230003i | −0.685783 | − | 0.727806i | \(-0.740540\pi\) |
0.287406 | + | 0.957809i | \(0.407207\pi\) | |||||||
\(62\) | −2.91937 | − | 5.05650i | −0.370760 | − | 0.642176i | ||||
\(63\) | −2.86983 | − | 7.40028i | −0.361564 | − | 0.932347i | ||||
\(64\) | 1.70329 | 0.212911 | ||||||||
\(65\) | −9.05704 | + | 0.276316i | −1.12339 | + | 0.0342728i | ||||
\(66\) | −2.50848 | + | 5.12114i | −0.308773 | + | 0.630369i | ||||
\(67\) | −0.761254 | + | 1.31853i | −0.0930020 | + | 0.161084i | −0.908773 | − | 0.417291i | \(-0.862980\pi\) |
0.815771 | + | 0.578375i | \(0.196313\pi\) | |||||||
\(68\) | 1.10149 | 0.133575 | ||||||||
\(69\) | 0.121826 | + | 1.78560i | 0.0146661 | + | 0.214961i | ||||
\(70\) | 1.03817 | − | 3.48027i | 0.124085 | − | 0.415972i | ||||
\(71\) | −11.4729 | − | 6.62389i | −1.36158 | − | 0.786111i | −0.371749 | − | 0.928333i | \(-0.621242\pi\) |
−0.989835 | + | 0.142222i | \(0.954575\pi\) | |||||||
\(72\) | −0.823842 | − | 6.00942i | −0.0970908 | − | 0.708217i | ||||
\(73\) | 4.76835 | − | 2.75301i | 0.558093 | − | 0.322215i | −0.194287 | − | 0.980945i | \(-0.562239\pi\) |
0.752380 | + | 0.658730i | \(0.228906\pi\) | |||||||
\(74\) | 2.16043i | 0.251145i | ||||||||
\(75\) | 1.27129 | + | 1.89166i | 0.146796 | + | 0.218430i | ||||
\(76\) | 3.38290 | − | 1.95312i | 0.388046 | − | 0.224038i | ||||
\(77\) | 4.55868 | − | 15.2822i | 0.519509 | − | 1.74157i | ||||
\(78\) | −2.77179 | + | 1.98811i | −0.313844 | + | 0.225109i | ||||
\(79\) | −2.14796 | + | 3.72038i | −0.241665 | + | 0.418575i | −0.961189 | − | 0.275892i | \(-0.911027\pi\) |
0.719524 | + | 0.694468i | \(0.244360\pi\) | |||||||
\(80\) | −2.88879 | + | 5.00353i | −0.322976 | + | 0.559412i | ||||
\(81\) | 8.66795 | − | 2.42213i | 0.963105 | − | 0.269126i | ||||
\(82\) | −4.24487 | + | 2.45078i | −0.468768 | + | 0.270643i | ||||
\(83\) | 11.8816 | 1.30417 | 0.652085 | − | 0.758146i | \(-0.273894\pi\) | ||||
0.652085 | + | 0.758146i | \(0.273894\pi\) | |||||||
\(84\) | 2.31804 | + | 7.44547i | 0.252919 | + | 0.812367i | ||||
\(85\) | −0.813381 | + | 1.40882i | −0.0882236 | + | 0.152808i | ||||
\(86\) | 3.87838 | + | 2.23919i | 0.418217 | + | 0.241458i | ||||
\(87\) | 7.40768 | − | 4.97833i | 0.794187 | − | 0.533733i | ||||
\(88\) | 6.09356 | − | 10.5544i | 0.649576 | − | 1.12510i | ||||
\(89\) | −1.01554 | −0.107647 | −0.0538234 | − | 0.998550i | \(-0.517141\pi\) | ||||
−0.0538234 | + | 0.998550i | \(0.517141\pi\) | |||||||
\(90\) | 3.81299 | + | 1.55558i | 0.401924 | + | 0.163972i | ||||
\(91\) | 6.72915 | − | 6.76155i | 0.705406 | − | 0.708803i | ||||
\(92\) | − | 1.75834i | − | 0.183320i | ||||||
\(93\) | −15.3671 | + | 10.3274i | −1.59349 | + | 1.07090i | ||||
\(94\) | 1.98338 | + | 1.14510i | 0.204570 | + | 0.118109i | ||||
\(95\) | 5.76904i | 0.591891i | ||||||||
\(96\) | 0.624797 | + | 9.15764i | 0.0637681 | + | 0.934647i | ||||
\(97\) | −8.58147 | − | 4.95452i | −0.871317 | − | 0.503055i | −0.00353111 | − | 0.999994i | \(-0.501124\pi\) |
−0.867786 | + | 0.496939i | \(0.834457\pi\) | |||||||
\(98\) | 1.72274 | + | 3.41336i | 0.174023 | + | 0.344801i | ||||
\(99\) | 16.7432 | + | 6.83067i | 1.68275 | + | 0.686508i | ||||
\(100\) | −1.11958 | − | 1.93917i | −0.111958 | − | 0.193917i | ||||
\(101\) | −2.65864 | + | 4.60490i | −0.264545 | + | 0.458205i | −0.967444 | − | 0.253084i | \(-0.918555\pi\) |
0.702900 | + | 0.711289i | \(0.251888\pi\) | |||||||
\(102\) | 0.0416844 | + | 0.610967i | 0.00412737 | + | 0.0604948i | ||||
\(103\) | 2.41439 | + | 1.39395i | 0.237897 | + | 0.137350i | 0.614210 | − | 0.789143i | \(-0.289475\pi\) |
−0.376313 | + | 0.926493i | \(0.622808\pi\) | |||||||
\(104\) | 6.19922 | − | 3.83581i | 0.607883 | − | 0.376132i | ||||
\(105\) | −11.2346 | − | 2.53322i | −1.09638 | − | 0.247217i | ||||
\(106\) | 0.0128197 | + | 0.0222043i | 0.00124515 | + | 0.00215667i | ||||
\(107\) | − | 19.2241i | − | 1.85846i | −0.369502 | − | 0.929230i | \(-0.620472\pi\) | ||
0.369502 | − | 0.929230i | \(-0.379528\pi\) | |||||||
\(108\) | −8.65807 | + | 1.79445i | −0.833123 | + | 0.172671i | ||||
\(109\) | −3.02537 | − | 5.24009i | −0.289778 | − | 0.501910i | 0.683979 | − | 0.729502i | \(-0.260248\pi\) |
−0.973757 | + | 0.227592i | \(0.926915\pi\) | |||||||
\(110\) | 4.13706 | + | 7.16560i | 0.394453 | + | 0.683213i | ||||
\(111\) | 6.83493 | − | 0.466326i | 0.648743 | − | 0.0442617i | ||||
\(112\) | −1.40858 | − | 5.91710i | −0.133098 | − | 0.559113i | ||||
\(113\) | 7.42599 | + | 4.28740i | 0.698578 | + | 0.403324i | 0.806818 | − | 0.590800i | \(-0.201188\pi\) |
−0.108239 | + | 0.994125i | \(0.534521\pi\) | |||||||
\(114\) | 1.21137 | + | 1.80250i | 0.113455 | + | 0.168819i | ||||
\(115\) | 2.24894 | + | 1.29843i | 0.209715 | + | 0.121079i | ||||
\(116\) | −7.59374 | + | 4.38425i | −0.705061 | + | 0.407067i | ||||
\(117\) | 6.88804 | + | 8.33996i | 0.636800 | + | 0.771029i | ||||
\(118\) | − | 0.907960i | − | 0.0835845i | ||||||
\(119\) | −0.396606 | − | 1.66605i | −0.0363568 | − | 0.152726i | ||||
\(120\) | −7.90374 | − | 3.87148i | −0.721510 | − | 0.353416i | ||||
\(121\) | 12.6662 | + | 21.9385i | 1.15147 | + | 1.99441i | ||||
\(122\) | 0.981198 | + | 1.69949i | 0.0888335 | + | 0.153864i | ||||
\(123\) | 8.66975 | + | 12.9005i | 0.781725 | + | 1.16320i | ||||
\(124\) | 15.7530 | − | 9.09500i | 1.41466 | − | 0.816755i | ||||
\(125\) | −9.25873 | −0.828126 | ||||||||
\(126\) | −4.04209 | + | 1.56752i | −0.360098 | + | 0.139646i | ||||
\(127\) | 1.59609 | + | 2.76452i | 0.141630 | + | 0.245311i | 0.928111 | − | 0.372304i | \(-0.121432\pi\) |
−0.786480 | + | 0.617615i | \(0.788099\pi\) | |||||||
\(128\) | − | 11.5293i | − | 1.01905i | ||||||
\(129\) | 6.24695 | − | 12.7533i | 0.550013 | − | 1.12287i | ||||
\(130\) | 0.150926 | + | 4.94703i | 0.0132371 | + | 0.433883i | ||||
\(131\) | 1.65182 | − | 2.86103i | 0.144320 | − | 0.249969i | −0.784799 | − | 0.619750i | \(-0.787234\pi\) |
0.929119 | + | 0.369781i | \(0.120567\pi\) | |||||||
\(132\) | −15.9544 | − | 7.81492i | −1.38865 | − | 0.680202i | ||||
\(133\) | −4.17224 | − | 4.41354i | −0.361779 | − | 0.382702i | ||||
\(134\) | 0.720192 | + | 0.415803i | 0.0622151 | + | 0.0359199i | ||||
\(135\) | 4.09833 | − | 12.3989i | 0.352728 | − | 1.06713i | ||||
\(136\) | − | 1.30877i | − | 0.112226i | ||||||
\(137\) | − | 8.25108i | − | 0.704937i | −0.935824 | − | 0.352468i | \(-0.885342\pi\) | ||
0.935824 | − | 0.352468i | \(-0.114658\pi\) | |||||||
\(138\) | 0.975308 | − | 0.0665422i | 0.0830237 | − | 0.00566445i | ||||
\(139\) | −7.50372 | − | 4.33228i | −0.636457 | − | 0.367459i | 0.146791 | − | 0.989168i | \(-0.453105\pi\) |
−0.783249 | + | 0.621709i | \(0.786439\pi\) | |||||||
\(140\) | 10.8424 | + | 3.23430i | 0.916354 | + | 0.273348i | ||||
\(141\) | 3.19465 | − | 6.52197i | 0.269038 | − | 0.549249i | ||||
\(142\) | −3.61802 | + | 6.26660i | −0.303618 | + | 0.525881i | ||||
\(143\) | 0.662729 | + | 21.7228i | 0.0554202 | + | 1.81655i | ||||
\(144\) | 6.83293 | − | 0.936740i | 0.569411 | − | 0.0780616i | ||||
\(145\) | − | 12.9500i | − | 1.07544i | ||||||
\(146\) | −1.50371 | − | 2.60451i | −0.124448 | − | 0.215551i | ||||
\(147\) | 10.4270 | − | 6.18698i | 0.860000 | − | 0.510293i | ||||
\(148\) | −6.73060 | −0.553252 | ||||||||
\(149\) | −11.9614 | + | 6.90590i | −0.979914 | + | 0.565753i | −0.902244 | − | 0.431226i | \(-0.858081\pi\) |
−0.0776696 | + | 0.996979i | \(0.524748\pi\) | |||||||
\(150\) | 1.03324 | − | 0.694390i | 0.0843638 | − | 0.0566967i | ||||
\(151\) | −3.90858 | − | 6.76986i | −0.318076 | − | 0.550924i | 0.662011 | − | 0.749494i | \(-0.269703\pi\) |
−0.980087 | + | 0.198571i | \(0.936370\pi\) | |||||||
\(152\) | −2.32066 | − | 4.01950i | −0.188230 | − | 0.326024i | ||||
\(153\) | 1.92391 | − | 0.263753i | 0.155539 | − | 0.0213232i | ||||
\(154\) | −8.34725 | − | 2.48999i | −0.672641 | − | 0.200649i | ||||
\(155\) | 26.8644i | 2.15780i | ||||||||
\(156\) | −6.19375 | − | 8.63523i | −0.495897 | − | 0.691372i | ||||
\(157\) | −7.63926 | + | 4.41053i | −0.609679 | + | 0.351999i | −0.772840 | − | 0.634601i | \(-0.781164\pi\) |
0.163161 | + | 0.986600i | \(0.447831\pi\) | |||||||
\(158\) | 2.03210 | + | 1.17323i | 0.161665 | + | 0.0933375i | ||||
\(159\) | 0.0674804 | − | 0.0453502i | 0.00535154 | − | 0.00359650i | ||||
\(160\) | 11.5340 | + | 6.65914i | 0.911840 | + | 0.526451i | ||||
\(161\) | −2.65957 | + | 0.633115i | −0.209603 | + | 0.0498964i | ||||
\(162\) | −1.32299 | − | 4.73450i | −0.103944 | − | 0.371978i | ||||
\(163\) | −6.28824 | − | 10.8915i | −0.492533 | − | 0.853092i | 0.507430 | − | 0.861693i | \(-0.330596\pi\) |
−0.999963 | + | 0.00860097i | \(0.997262\pi\) | |||||||
\(164\) | −7.63515 | − | 13.2245i | −0.596205 | − | 1.03266i | ||||
\(165\) | 21.7767 | − | 14.6351i | 1.69532 | − | 1.13934i | ||||
\(166\) | − | 6.48981i | − | 0.503707i | ||||||
\(167\) | 6.71323 | + | 11.6277i | 0.519486 | + | 0.899775i | 0.999743 | + | 0.0226481i | \(0.00720973\pi\) |
−0.480258 | + | 0.877127i | \(0.659457\pi\) | |||||||
\(168\) | 8.84656 | − | 2.75425i | 0.682527 | − | 0.212495i | ||||
\(169\) | −5.80160 | + | 11.6336i | −0.446277 | + | 0.894895i | ||||
\(170\) | 0.769508 | + | 0.444276i | 0.0590186 | + | 0.0340744i | ||||
\(171\) | 5.44107 | − | 4.22146i | 0.416089 | − | 0.322823i | ||||
\(172\) | −6.97596 | + | 12.0827i | −0.531912 | + | 0.921298i | ||||
\(173\) | −4.22363 | − | 7.31554i | −0.321116 | − | 0.556190i | 0.659602 | − | 0.751615i | \(-0.270725\pi\) |
−0.980719 | + | 0.195425i | \(0.937391\pi\) | |||||||
\(174\) | −2.71921 | − | 4.04614i | −0.206142 | − | 0.306737i | ||||
\(175\) | −2.52996 | + | 2.39164i | −0.191247 | + | 0.180791i | ||||
\(176\) | 12.0007 | + | 6.92861i | 0.904587 | + | 0.522263i | ||||
\(177\) | −2.87250 | + | 0.195982i | −0.215911 | + | 0.0147309i | ||||
\(178\) | 0.554695i | 0.0415761i | ||||||||
\(179\) | 11.1878 | + | 6.45927i | 0.836214 | + | 0.482788i | 0.855975 | − | 0.517016i | \(-0.172957\pi\) |
−0.0197616 | + | 0.999805i | \(0.506291\pi\) | |||||||
\(180\) | −4.84624 | + | 11.8790i | −0.361217 | + | 0.885407i | ||||
\(181\) | − | 1.36110i | − | 0.101170i | −0.998720 | − | 0.0505848i | \(-0.983891\pi\) | ||
0.998720 | − | 0.0505848i | \(-0.0161085\pi\) | |||||||
\(182\) | −3.69321 | − | 3.67552i | −0.273759 | − | 0.272447i | ||||
\(183\) | 5.16485 | − | 3.47104i | 0.381797 | − | 0.256587i | ||||
\(184\) | −2.08923 | −0.154020 | ||||||||
\(185\) | 4.97014 | − | 8.60854i | 0.365412 | − | 0.632912i | ||||
\(186\) | 5.64092 | + | 8.39361i | 0.413613 | + | 0.615449i | ||||
\(187\) | 3.37897 | + | 1.95085i | 0.247095 | + | 0.142660i | ||||
\(188\) | −3.56746 | + | 6.17902i | −0.260184 | + | 0.450651i | ||||
\(189\) | 5.83163 | + | 12.4496i | 0.424189 | + | 0.905574i | ||||
\(190\) | 3.15110 | 0.228605 | ||||||||
\(191\) | −8.92889 | + | 5.15510i | −0.646072 | + | 0.373010i | −0.786950 | − | 0.617017i | \(-0.788341\pi\) |
0.140878 | + | 0.990027i | \(0.455008\pi\) | |||||||
\(192\) | −2.94334 | + | 0.200815i | −0.212417 | + | 0.0144926i | ||||
\(193\) | −1.61981 | + | 2.80559i | −0.116597 | + | 0.201951i | −0.918417 | − | 0.395614i | \(-0.870532\pi\) |
0.801820 | + | 0.597565i | \(0.203865\pi\) | |||||||
\(194\) | −2.70620 | + | 4.68727i | −0.194294 | + | 0.336527i | ||||
\(195\) | 15.6183 | − | 1.54529i | 1.11845 | − | 0.110661i | ||||
\(196\) | −10.6340 | + | 5.36702i | −0.759569 | + | 0.383358i | ||||
\(197\) | 11.8813 | − | 6.85965i | 0.846505 | − | 0.488730i | −0.0129653 | − | 0.999916i | \(-0.504127\pi\) |
0.859470 | + | 0.511186i | \(0.170794\pi\) | |||||||
\(198\) | 3.73097 | − | 9.14525i | 0.265148 | − | 0.649925i | ||||
\(199\) | − | 3.33020i | − | 0.236071i | −0.993009 | − | 0.118036i | \(-0.962340\pi\) | ||
0.993009 | − | 0.118036i | \(-0.0376597\pi\) | |||||||
\(200\) | −2.30409 | + | 1.33027i | −0.162924 | + | 0.0940640i | ||||
\(201\) | 1.16002 | − | 2.36822i | 0.0818215 | − | 0.167041i | ||||
\(202\) | 2.51524 | + | 1.45217i | 0.176971 | + | 0.102174i | ||||
\(203\) | 9.36559 | + | 9.90724i | 0.657335 | + | 0.695352i | ||||
\(204\) | −1.90341 | + | 0.129863i | −0.133265 | + | 0.00909226i | ||||
\(205\) | 22.5524 | 1.57513 | ||||||||
\(206\) | 0.761386 | − | 1.31876i | 0.0530482 | − | 0.0918823i | ||||
\(207\) | −0.421038 | − | 3.07121i | −0.0292641 | − | 0.213464i | ||||
\(208\) | 4.36146 | + | 7.04874i | 0.302413 | + | 0.488742i | ||||
\(209\) | 13.8367 | 0.957107 | ||||||||
\(210\) | −1.38367 | + | 6.13643i | −0.0954821 | + | 0.423454i | ||||
\(211\) | −4.67281 | − | 8.09355i | −0.321690 | − | 0.557183i | 0.659147 | − | 0.752014i | \(-0.270917\pi\) |
−0.980837 | + | 0.194831i | \(0.937584\pi\) | |||||||
\(212\) | −0.0691752 | + | 0.0399383i | −0.00475097 | + | 0.00274298i | ||||
\(213\) | 20.6065 | + | 10.0937i | 1.41194 | + | 0.691607i | ||||
\(214\) | −10.5003 | −0.717788 | ||||||||
\(215\) | −10.3026 | − | 17.8447i | −0.702634 | − | 1.21700i | ||||
\(216\) | 2.13213 | + | 10.2873i | 0.145073 | + | 0.699965i | ||||
\(217\) | −19.4287 | − | 20.5523i | −1.31890 | − | 1.39518i | ||||
\(218\) | −2.86218 | + | 1.65248i | −0.193851 | + | 0.111920i | ||||
\(219\) | −7.91529 | + | 5.31947i | −0.534866 | + | 0.359456i | ||||
\(220\) | −22.3237 | + | 12.8886i | −1.50506 | + | 0.868949i | ||||
\(221\) | 1.22803 | + | 1.98468i | 0.0826065 | + | 0.133504i | ||||
\(222\) | −0.254711 | − | 3.73330i | −0.0170951 | − | 0.250562i | ||||
\(223\) | −4.72711 | + | 2.72920i | −0.316550 | + | 0.182760i | −0.649854 | − | 0.760059i | \(-0.725170\pi\) |
0.333304 | + | 0.942820i | \(0.391837\pi\) | |||||||
\(224\) | −13.6399 | + | 3.24700i | −0.911353 | + | 0.216949i | ||||
\(225\) | −2.41986 | − | 3.11897i | −0.161324 | − | 0.207931i | ||||
\(226\) | 2.34181 | − | 4.05614i | 0.155775 | − | 0.269810i | ||||
\(227\) | 22.7846 | 1.51226 | 0.756132 | − | 0.654419i | \(-0.227087\pi\) | ||||
0.756132 | + | 0.654419i | \(0.227087\pi\) | |||||||
\(228\) | −5.61550 | + | 3.77390i | −0.371896 | + | 0.249932i | ||||
\(229\) | −15.1066 | − | 8.72181i | −0.998273 | − | 0.576353i | −0.0905364 | − | 0.995893i | \(-0.528858\pi\) |
−0.907737 | + | 0.419540i | \(0.862191\pi\) | |||||||
\(230\) | 0.709212 | − | 1.22839i | 0.0467641 | − | 0.0809977i | ||||
\(231\) | −6.07580 | + | 26.9456i | −0.399758 | + | 1.77289i | ||||
\(232\) | 5.20928 | + | 9.02273i | 0.342006 | + | 0.592371i | ||||
\(233\) | 1.62211 | + | 0.936526i | 0.106268 | + | 0.0613538i | 0.552192 | − | 0.833717i | \(-0.313792\pi\) |
−0.445924 | + | 0.895071i | \(0.647125\pi\) | |||||||
\(234\) | 4.55535 | − | 3.76231i | 0.297793 | − | 0.245950i | ||||
\(235\) | −5.26870 | − | 9.12566i | −0.343692 | − | 0.595292i | ||||
\(236\) | 2.82866 | 0.184130 | ||||||||
\(237\) | 3.27312 | − | 6.68218i | 0.212612 | − | 0.434054i | ||||
\(238\) | −0.910008 | + | 0.216629i | −0.0589871 | + | 0.0140420i | ||||
\(239\) | − | 23.7791i | − | 1.53814i | −0.639164 | − | 0.769071i | \(-0.720719\pi\) | ||
0.639164 | − | 0.769071i | \(-0.279281\pi\) | |||||||
\(240\) | 4.40202 | − | 8.98685i | 0.284149 | − | 0.580099i | ||||
\(241\) | 20.8892i | 1.34559i | 0.739829 | + | 0.672795i | \(0.234906\pi\) | ||||
−0.739829 | + | 0.672795i | \(0.765094\pi\) | |||||||
\(242\) | 11.9830 | − | 6.91837i | 0.770295 | − | 0.444730i | ||||
\(243\) | −14.6929 | + | 5.20746i | −0.942552 | + | 0.334059i | ||||
\(244\) | −5.29457 | + | 3.05682i | −0.338950 | + | 0.195693i | ||||
\(245\) | 0.988050 | − | 17.5642i | 0.0631242 | − | 1.12214i | ||||
\(246\) | 7.04634 | − | 4.73549i | 0.449258 | − | 0.301924i | ||||
\(247\) | 7.29072 | + | 3.91786i | 0.463897 | + | 0.249288i | ||||
\(248\) | −10.8065 | − | 18.7174i | −0.686214 | − | 1.18856i | ||||
\(249\) | −20.5317 | + | 1.40082i | −1.30115 | + | 0.0887731i | ||||
\(250\) | 5.05719i | 0.319845i | ||||||||
\(251\) | −10.1622 | + | 17.6015i | −0.641433 | + | 1.11100i | 0.343680 | + | 0.939087i | \(0.388327\pi\) |
−0.985113 | + | 0.171908i | \(0.945007\pi\) | |||||||
\(252\) | −4.88346 | − | 12.5927i | −0.307629 | − | 0.793267i | ||||
\(253\) | 3.11421 | − | 5.39397i | 0.195789 | − | 0.339116i | ||||
\(254\) | 1.51000 | − | 0.871799i | 0.0947459 | − | 0.0547016i | ||||
\(255\) | 1.23945 | − | 2.53038i | 0.0776175 | − | 0.158459i | ||||
\(256\) | −2.89080 | −0.180675 | ||||||||
\(257\) | −23.8924 | −1.49037 | −0.745183 | − | 0.666860i | \(-0.767638\pi\) | ||||
−0.745183 | + | 0.666860i | \(0.767638\pi\) | |||||||
\(258\) | −6.96597 | − | 3.41213i | −0.433683 | − | 0.212430i | ||||
\(259\) | 2.42345 | + | 10.1803i | 0.150586 | + | 0.632575i | ||||
\(260\) | −15.4120 | + | 0.470195i | −0.955810 | + | 0.0291603i | ||||
\(261\) | −12.2138 | + | 9.47608i | −0.756015 | + | 0.586555i | ||||
\(262\) | −1.56272 | − | 0.902235i | −0.0965450 | − | 0.0557403i | ||||
\(263\) | −1.39927 | − | 0.807870i | −0.0862828 | − | 0.0498154i | 0.456238 | − | 0.889858i | \(-0.349197\pi\) |
−0.542521 | + | 0.840042i | \(0.682530\pi\) | |||||||
\(264\) | −9.28554 | + | 18.9567i | −0.571485 | + | 1.16670i | ||||
\(265\) | − | 0.117968i | − | 0.00724672i | ||||||
\(266\) | −2.41071 | + | 2.27891i | −0.147810 | + | 0.139729i | ||||
\(267\) | 1.75488 | − | 0.119730i | 0.107397 | − | 0.00732736i | ||||
\(268\) | −1.29539 | + | 2.24369i | −0.0791287 | + | 0.137055i | ||||
\(269\) | −16.4525 | −1.00312 | −0.501562 | − | 0.865122i | \(-0.667241\pi\) | ||||
−0.501562 | + | 0.865122i | \(0.667241\pi\) | |||||||
\(270\) | −6.77237 | − | 2.23854i | −0.412153 | − | 0.136233i | ||||
\(271\) | − | 0.614250i | − | 0.0373130i | −0.999826 | − | 0.0186565i | \(-0.994061\pi\) | ||
0.999826 | − | 0.0186565i | \(-0.00593889\pi\) | |||||||
\(272\) | 1.48812 | 0.0902302 | ||||||||
\(273\) | −10.8310 | + | 12.4775i | −0.655523 | + | 0.755175i | ||||
\(274\) | −4.50681 | −0.272266 | ||||||||
\(275\) | − | 7.93160i | − | 0.478293i | ||||||
\(276\) | 0.207305 | + | 3.03847i | 0.0124783 | + | 0.182895i | ||||
\(277\) | −9.66735 | −0.580854 | −0.290427 | − | 0.956897i | \(-0.593797\pi\) | ||||
−0.290427 | + | 0.956897i | \(0.593797\pi\) | |||||||
\(278\) | −2.36633 | + | 4.09860i | −0.141923 | + | 0.245817i | ||||
\(279\) | 25.3372 | − | 19.6579i | 1.51690 | − | 1.17689i | ||||
\(280\) | 3.84293 | − | 12.8828i | 0.229659 | − | 0.769893i | ||||
\(281\) | − | 4.25154i | − | 0.253625i | −0.991927 | − | 0.126813i | \(-0.959525\pi\) | ||
0.991927 | − | 0.126813i | \(-0.0404747\pi\) | |||||||
\(282\) | −3.56235 | − | 1.74494i | −0.212135 | − | 0.103910i | ||||
\(283\) | 11.6624 | + | 6.73330i | 0.693259 | + | 0.400253i | 0.804832 | − | 0.593503i | \(-0.202256\pi\) |
−0.111573 | + | 0.993756i | \(0.535589\pi\) | |||||||
\(284\) | −19.5230 | − | 11.2716i | −1.15847 | − | 0.668845i | ||||
\(285\) | −0.680160 | − | 9.96910i | −0.0402892 | − | 0.590518i | ||||
\(286\) | 11.8652 | − | 0.361988i | 0.701603 | − | 0.0214048i | ||||
\(287\) | −17.2534 | + | 16.3101i | −1.01844 | + | 0.962757i | ||||
\(288\) | −2.15934 | − | 15.7510i | −0.127240 | − | 0.928139i | ||||
\(289\) | −16.5810 | −0.975353 | ||||||||
\(290\) | −7.07339 | −0.415364 | ||||||||
\(291\) | 15.4132 | + | 7.54983i | 0.903538 | + | 0.442579i | ||||
\(292\) | 8.11409 | − | 4.68467i | 0.474841 | − | 0.274150i | ||||
\(293\) | −6.93842 | + | 12.0177i | −0.405347 | + | 0.702081i | −0.994362 | − | 0.106041i | \(-0.966183\pi\) |
0.589015 | + | 0.808122i | \(0.299516\pi\) | |||||||
\(294\) | −3.37938 | − | 5.69529i | −0.197089 | − | 0.332156i | ||||
\(295\) | −2.08879 | + | 3.61789i | −0.121614 | + | 0.210642i | ||||
\(296\) | 7.99717i | 0.464826i | ||||||||
\(297\) | −29.7381 | − | 9.82963i | −1.72558 | − | 0.570373i | ||||
\(298\) | 3.77206 | + | 6.53340i | 0.218510 | + | 0.378470i | ||||
\(299\) | 3.16821 | − | 1.96035i | 0.183222 | − | 0.113370i | ||||
\(300\) | 2.16330 | + | 3.21896i | 0.124898 | + | 0.185847i | ||||
\(301\) | 20.7874 | + | 6.20089i | 1.19817 | + | 0.357413i | ||||
\(302\) | −3.69776 | + | 2.13490i | −0.212782 | + | 0.122850i | ||||
\(303\) | 4.05131 | − | 8.27087i | 0.232742 | − | 0.475149i | ||||
\(304\) | 4.57032 | − | 2.63868i | 0.262126 | − | 0.151338i | ||||
\(305\) | − | 9.02912i | − | 0.517006i | ||||||
\(306\) | −0.144064 | − | 1.05086i | −0.00823559 | − | 0.0600735i | ||||
\(307\) | − | 19.0928i | − | 1.08969i | −0.838538 | − | 0.544843i | \(-0.816589\pi\) | ||
0.838538 | − | 0.544843i | \(-0.183411\pi\) | |||||||
\(308\) | 7.75730 | − | 26.0050i | 0.442013 | − | 1.48177i | ||||
\(309\) | −4.33649 | − | 2.12414i | −0.246694 | − | 0.120838i | ||||
\(310\) | 14.6736 | 0.833403 | ||||||||
\(311\) | 1.31104 | + | 2.27079i | 0.0743423 | + | 0.128765i | 0.900800 | − | 0.434234i | \(-0.142981\pi\) |
−0.826458 | + | 0.562999i | \(0.809648\pi\) | |||||||
\(312\) | −10.2602 | + | 7.35929i | −0.580871 | + | 0.416638i | ||||
\(313\) | 3.15245 | + | 1.82007i | 0.178187 | + | 0.102876i | 0.586441 | − | 0.809992i | \(-0.300529\pi\) |
−0.408253 | + | 0.912869i | \(0.633862\pi\) | |||||||
\(314\) | 2.40907 | + | 4.17263i | 0.135952 | + | 0.235475i | ||||
\(315\) | 19.7124 | + | 3.05296i | 1.11067 | + | 0.172015i | ||||
\(316\) | −3.65509 | + | 6.33081i | −0.205615 | + | 0.356136i | ||||
\(317\) | 14.6674 | + | 8.46825i | 0.823805 | + | 0.475624i | 0.851727 | − | 0.523986i | \(-0.175556\pi\) |
−0.0279217 | + | 0.999610i | \(0.508889\pi\) | |||||||
\(318\) | −0.0247706 | − | 0.0368583i | −0.00138907 | − | 0.00206691i | ||||
\(319\) | −31.0599 | −1.73902 | ||||||||
\(320\) | −2.14030 | + | 3.70711i | −0.119647 | + | 0.207234i | ||||
\(321\) | 2.26648 | + | 33.2198i | 0.126503 | + | 1.85415i | ||||
\(322\) | 0.345813 | + | 1.45268i | 0.0192714 | + | 0.0809545i | ||||
\(323\) | 1.28684 | − | 0.742958i | 0.0716018 | − | 0.0413393i | ||||
\(324\) | 14.7499 | − | 4.12164i | 0.819437 | − | 0.228980i | ||||
\(325\) | 2.24583 | − | 4.17924i | 0.124576 | − | 0.231823i | ||||
\(326\) | −5.94905 | + | 3.43469i | −0.329488 | + | 0.190230i | ||||
\(327\) | 5.84574 | + | 8.69837i | 0.323270 | + | 0.481021i | ||||
\(328\) | −15.7131 | + | 9.07194i | −0.867608 | + | 0.500914i | ||||
\(329\) | 10.6305 | + | 3.17109i | 0.586081 | + | 0.174828i | ||||
\(330\) | −7.99379 | − | 11.8946i | −0.440044 | − | 0.654778i | ||||
\(331\) | 5.21392 | + | 9.03077i | 0.286583 | + | 0.496376i | 0.972992 | − | 0.230840i | \(-0.0741473\pi\) |
−0.686409 | + | 0.727216i | \(0.740814\pi\) | |||||||
\(332\) | 20.2183 | 1.10963 | ||||||||
\(333\) | −11.7560 | + | 1.61165i | −0.644226 | + | 0.0883181i | ||||
\(334\) | 6.35112 | − | 3.66682i | 0.347518 | − | 0.200640i | ||||
\(335\) | −1.91314 | − | 3.31365i | −0.104526 | − | 0.181044i | ||||
\(336\) | 3.13168 | + | 10.0589i | 0.170847 | + | 0.548757i | ||||
\(337\) | 18.5940 | 1.01288 | 0.506440 | − | 0.862275i | \(-0.330961\pi\) | ||||
0.506440 | + | 0.862275i | \(0.330961\pi\) | |||||||
\(338\) | 6.35439 | + | 3.16888i | 0.345633 | + | 0.172365i | ||||
\(339\) | −13.3378 | − | 6.53326i | −0.724412 | − | 0.354838i | ||||
\(340\) | −1.38410 | + | 2.39732i | −0.0750631 | + | 0.130013i | ||||
\(341\) | 64.4329 | 3.48924 | ||||||||
\(342\) | −2.30580 | − | 2.97196i | −0.124683 | − | 0.160705i | ||||
\(343\) | 11.9467 | + | 14.1519i | 0.645064 | + | 0.764129i | ||||
\(344\) | 14.3564 | + | 8.28870i | 0.774048 | + | 0.446897i | ||||
\(345\) | −4.03933 | − | 1.97858i | −0.217470 | − | 0.106523i | ||||
\(346\) | −3.99581 | + | 2.30698i | −0.214816 | + | 0.124024i | ||||
\(347\) | 7.56632i | 0.406181i | 0.979160 | + | 0.203091i | \(0.0650986\pi\) | ||||
−0.979160 | + | 0.203091i | \(0.934901\pi\) | |||||||
\(348\) | 12.6053 | − | 8.47141i | 0.675717 | − | 0.454115i | ||||
\(349\) | 23.2338 | − | 13.4141i | 1.24368 | − | 0.718038i | 0.273837 | − | 0.961776i | \(-0.411707\pi\) |
0.969841 | + | 0.243738i | \(0.0783738\pi\) | |||||||
\(350\) | 1.30633 | + | 1.38189i | 0.0698265 | + | 0.0738649i | ||||
\(351\) | −12.8860 | − | 13.5996i | −0.687806 | − | 0.725895i | ||||
\(352\) | 15.9716 | − | 27.6636i | 0.851288 | − | 1.47447i | ||||
\(353\) | −6.42503 | + | 11.1285i | −0.341970 | + | 0.592309i | −0.984798 | − | 0.173701i | \(-0.944427\pi\) |
0.642828 | + | 0.766010i | \(0.277761\pi\) | |||||||
\(354\) | 0.107047 | + | 1.56899i | 0.00568948 | + | 0.0833906i | ||||
\(355\) | 28.8330 | − | 16.6468i | 1.53030 | − | 0.883518i | ||||
\(356\) | −1.72810 | −0.0915889 | ||||||||
\(357\) | 0.881772 | + | 2.83222i | 0.0466683 | + | 0.149897i | ||||
\(358\) | 3.52811 | − | 6.11086i | 0.186466 | − | 0.322969i | ||||
\(359\) | 14.4330 | + | 8.33290i | 0.761745 | + | 0.439794i | 0.829922 | − | 0.557880i | \(-0.188385\pi\) |
−0.0681770 | + | 0.997673i | \(0.521718\pi\) | |||||||
\(360\) | 14.1144 | + | 5.75821i | 0.743893 | + | 0.303484i | ||||
\(361\) | −6.86522 | + | 11.8909i | −0.361328 | + | 0.625838i | ||||
\(362\) | −0.743444 | −0.0390745 | ||||||||
\(363\) | −24.4741 | − | 36.4171i | −1.28456 | − | 1.91140i | ||||
\(364\) | 11.4507 | − | 11.5058i | 0.600180 | − | 0.603070i | ||||
\(365\) | 13.8374i | 0.724282i | ||||||||
\(366\) | −1.89591 | − | 2.82109i | −0.0991008 | − | 0.147461i | ||||
\(367\) | −23.5317 | − | 13.5860i | −1.22834 | − | 0.709184i | −0.261660 | − | 0.965160i | \(-0.584270\pi\) |
−0.966683 | + | 0.255976i | \(0.917603\pi\) | |||||||
\(368\) | − | 2.37553i | − | 0.123833i | ||||||
\(369\) | −16.5026 | − | 21.2703i | −0.859089 | − | 1.10729i | ||||
\(370\) | −4.70205 | − | 2.71473i | −0.244448 | − | 0.141132i | ||||
\(371\) | 0.0853159 | + | 0.0902501i | 0.00442938 | + | 0.00468555i | ||||
\(372\) | −26.1494 | + | 17.5737i | −1.35579 | + | 0.911155i | ||||
\(373\) | 8.54397 | + | 14.7986i | 0.442390 | + | 0.766242i | 0.997866 | − | 0.0652907i | \(-0.0207975\pi\) |
−0.555477 | + | 0.831532i | \(0.687464\pi\) | |||||||
\(374\) | 1.06557 | − | 1.84562i | 0.0550994 | − | 0.0954349i | ||||
\(375\) | 15.9994 | − | 1.09159i | 0.826205 | − | 0.0563694i | ||||
\(376\) | 7.34179 | + | 4.23879i | 0.378624 | + | 0.218599i | ||||
\(377\) | −16.3658 | − | 8.79458i | −0.842880 | − | 0.452944i | ||||
\(378\) | 6.80006 | − | 3.18529i | 0.349758 | − | 0.163833i | ||||
\(379\) | −11.4321 | − | 19.8010i | −0.587229 | − | 1.01711i | −0.994594 | − | 0.103845i | \(-0.966886\pi\) |
0.407365 | − | 0.913266i | \(-0.366448\pi\) | |||||||
\(380\) | 9.81693i | 0.503598i | ||||||||
\(381\) | −3.08403 | − | 4.58900i | −0.158000 | − | 0.235101i | ||||
\(382\) | 2.81576 | + | 4.87703i | 0.144067 | + | 0.249531i | ||||
\(383\) | −4.26054 | − | 7.37947i | −0.217703 | − | 0.377073i | 0.736402 | − | 0.676544i | \(-0.236523\pi\) |
−0.954105 | + | 0.299471i | \(0.903190\pi\) | |||||||
\(384\) | 1.35928 | + | 19.9230i | 0.0693655 | + | 1.01669i | ||||
\(385\) | 27.5325 | + | 29.1248i | 1.40319 | + | 1.48434i | ||||
\(386\) | 1.53244 | + | 0.884754i | 0.0779991 | + | 0.0450328i | ||||
\(387\) | −9.29134 | + | 22.7747i | −0.472305 | + | 1.15770i | ||||
\(388\) | −14.6027 | − | 8.43089i | −0.741341 | − | 0.428013i | ||||
\(389\) | 11.0480 | − | 6.37855i | 0.560155 | − | 0.323406i | −0.193053 | − | 0.981188i | \(-0.561839\pi\) |
0.753208 | + | 0.657783i | \(0.228506\pi\) | |||||||
\(390\) | −0.844052 | − | 8.53084i | −0.0427402 | − | 0.431976i | ||||
\(391\) | − | 0.668865i | − | 0.0338260i | ||||||
\(392\) | 6.37698 | + | 12.6351i | 0.322086 | + | 0.638168i | ||||
\(393\) | −2.51708 | + | 5.13870i | −0.126970 | + | 0.259213i | ||||
\(394\) | −3.74680 | − | 6.48964i | −0.188761 | − | 0.326943i | ||||
\(395\) | −5.39813 | − | 9.34983i | −0.271609 | − | 0.470441i | ||||
\(396\) | 28.4911 | + | 11.6234i | 1.43173 | + | 0.584100i | ||||
\(397\) | −3.37143 | + | 1.94650i | −0.169207 | + | 0.0976918i | −0.582212 | − | 0.813037i | \(-0.697813\pi\) |
0.413005 | + | 0.910729i | \(0.364479\pi\) | |||||||
\(398\) | −1.81898 | −0.0911773 | ||||||||
\(399\) | 7.73012 | + | 7.13484i | 0.386990 | + | 0.357189i | ||||
\(400\) | −1.51256 | − | 2.61983i | −0.0756281 | − | 0.130992i | ||||
\(401\) | 22.0587i | 1.10156i | 0.834651 | + | 0.550779i | \(0.185669\pi\) | ||||
−0.834651 | + | 0.550779i | \(0.814331\pi\) | |||||||
\(402\) | −1.29354 | − | 0.633612i | −0.0645158 | − | 0.0316017i | ||||
\(403\) | 33.9504 | + | 18.2441i | 1.69119 | + | 0.908804i | ||||
\(404\) | −4.52409 | + | 7.83596i | −0.225082 | + | 0.389854i | ||||
\(405\) | −5.62025 | + | 21.9089i | −0.279272 | + | 1.08866i | ||||
\(406\) | 5.41142 | − | 5.11556i | 0.268564 | − | 0.253881i | ||||
\(407\) | −20.6471 | − | 11.9206i | −1.02344 | − | 0.590883i | ||||
\(408\) | 0.154301 | + | 2.26159i | 0.00763905 | + | 0.111965i | ||||
\(409\) | − | 8.58087i | − | 0.424297i | −0.977237 | − | 0.212148i | \(-0.931954\pi\) | ||
0.977237 | − | 0.212148i | \(-0.0680460\pi\) | |||||||
\(410\) | − | 12.3183i | − | 0.608357i | ||||||
\(411\) | 0.972788 | + | 14.2581i | 0.0479841 | + | 0.703302i | ||||
\(412\) | 4.10846 | + | 2.37202i | 0.202409 | + | 0.116861i | ||||
\(413\) | −1.01850 | − | 4.27847i | −0.0501170 | − | 0.210530i | ||||
\(414\) | −1.67752 | + | 0.229974i | −0.0824456 | + | 0.0113026i | ||||
\(415\) | −14.9300 | + | 25.8595i | −0.732886 | + | 1.26940i | ||||
\(416\) | 16.2485 | − | 10.0539i | 0.796649 | − | 0.492933i | ||||
\(417\) | 13.4775 | + | 6.60164i | 0.659994 | + | 0.323284i | ||||
\(418\) | − | 7.55774i | − | 0.369661i | ||||||
\(419\) | −12.5477 | − | 21.7332i | −0.612994 | − | 1.06174i | −0.990733 | − | 0.135825i | \(-0.956632\pi\) |
0.377739 | − | 0.925912i | \(-0.376702\pi\) | |||||||
\(420\) | −19.1174 | − | 4.31068i | −0.932835 | − | 0.210339i | ||||
\(421\) | −11.9143 | −0.580668 | −0.290334 | − | 0.956925i | \(-0.593766\pi\) | ||||
−0.290334 | + | 0.956925i | \(0.593766\pi\) | |||||||
\(422\) | −4.42076 | + | 2.55233i | −0.215199 | + | 0.124245i | ||||
\(423\) | −4.75153 | + | 11.6468i | −0.231027 | + | 0.566288i | ||||
\(424\) | 0.0474539 | + | 0.0821926i | 0.00230457 | + | 0.00399163i | ||||
\(425\) | −0.425884 | − | 0.737653i | −0.0206584 | − | 0.0357814i | ||||
\(426\) | 5.51324 | − | 11.2555i | 0.267117 | − | 0.545328i | ||||
\(427\) | 6.52996 | + | 6.90762i | 0.316007 | + | 0.334283i | ||||
\(428\) | − | 32.7127i | − | 1.58123i | ||||||
\(429\) | −3.70630 | − | 37.4596i | −0.178942 | − | 1.80857i | ||||
\(430\) | −9.74692 | + | 5.62739i | −0.470038 | + | 0.271377i | ||||
\(431\) | −25.0125 | − | 14.4410i | −1.20481 | − | 0.695597i | −0.243189 | − | 0.969979i | \(-0.578194\pi\) |
−0.961621 | + | 0.274382i | \(0.911527\pi\) | |||||||
\(432\) | −11.6971 | + | 2.42431i | −0.562777 | + | 0.116640i | ||||
\(433\) | 6.48299 | + | 3.74296i | 0.311553 | + | 0.179875i | 0.647621 | − | 0.761963i | \(-0.275764\pi\) |
−0.336068 | + | 0.941838i | \(0.609097\pi\) | |||||||
\(434\) | −11.2258 | + | 10.6121i | −0.538858 | + | 0.509397i | ||||
\(435\) | 1.52678 | + | 22.3780i | 0.0732036 | + | 1.07294i | ||||
\(436\) | −5.14814 | − | 8.91684i | −0.246551 | − | 0.427039i | ||||
\(437\) | −1.18601 | − | 2.05423i | −0.0567345 | − | 0.0982671i | ||||
\(438\) | 2.90554 | + | 4.32340i | 0.138832 | + | 0.206580i | ||||
\(439\) | − | 10.2207i | − | 0.487810i | −0.969799 | − | 0.243905i | \(-0.921572\pi\) | ||
0.969799 | − | 0.243905i | \(-0.0784284\pi\) | |||||||
\(440\) | 15.3140 | + | 26.5246i | 0.730065 | + | 1.26451i | ||||
\(441\) | −17.2887 | + | 11.9206i | −0.823271 | + | 0.567649i | ||||
\(442\) | 1.08405 | − | 0.670762i | 0.0515629 | − | 0.0319049i | ||||
\(443\) | −26.2992 | − | 15.1839i | −1.24951 | − | 0.721407i | −0.278501 | − | 0.960436i | \(-0.589838\pi\) |
−0.971012 | + | 0.239029i | \(0.923171\pi\) | |||||||
\(444\) | 11.6307 | − | 0.793527i | 0.551969 | − | 0.0376591i | ||||
\(445\) | 1.27609 | − | 2.21026i | 0.0604926 | − | 0.104776i | ||||
\(446\) | 1.49071 | + | 2.58198i | 0.0705871 | + | 0.122260i | ||||
\(447\) | 19.8555 | − | 13.3439i | 0.939131 | − | 0.631143i | ||||
\(448\) | −1.04361 | − | 4.38398i | −0.0493061 | − | 0.207123i | ||||
\(449\) | 19.0172 | + | 10.9796i | 0.897478 | + | 0.518159i | 0.876381 | − | 0.481618i | \(-0.159951\pi\) |
0.0210967 | + | 0.999777i | \(0.493284\pi\) | |||||||
\(450\) | −1.70361 | + | 1.32175i | −0.0803089 | + | 0.0623077i | ||||
\(451\) | − | 54.0907i | − | 2.54703i | ||||||
\(452\) | 12.6365 | + | 7.29568i | 0.594370 | + | 0.343160i | ||||
\(453\) | 7.55232 | + | 11.2377i | 0.354839 | + | 0.527995i | ||||
\(454\) | − | 12.4451i | − | 0.584078i | ||||||
\(455\) | 6.26048 | + | 23.1420i | 0.293496 | + | 1.08491i | ||||
\(456\) | 4.48407 | + | 6.67223i | 0.209986 | + | 0.312456i | ||||
\(457\) | 36.0570 | 1.68668 | 0.843338 | − | 0.537383i | \(-0.180587\pi\) | ||||
0.843338 | + | 0.537383i | \(0.180587\pi\) | |||||||
\(458\) | −4.76392 | + | 8.25136i | −0.222604 | + | 0.385561i | ||||
\(459\) | −3.29349 | + | 0.682600i | −0.153727 | + | 0.0318610i | ||||
\(460\) | 3.82693 | + | 2.20948i | 0.178431 | + | 0.103017i | ||||
\(461\) | 4.57076 | − | 7.91680i | 0.212882 | − | 0.368722i | −0.739734 | − | 0.672900i | \(-0.765048\pi\) |
0.952615 | + | 0.304178i | \(0.0983818\pi\) | |||||||
\(462\) | 14.7179 | + | 3.31865i | 0.684739 | + | 0.154398i | ||||
\(463\) | 22.1372 | 1.02880 | 0.514401 | − | 0.857550i | \(-0.328014\pi\) | ||||
0.514401 | + | 0.857550i | \(0.328014\pi\) | |||||||
\(464\) | −10.2592 | + | 5.92314i | −0.476271 | + | 0.274975i | ||||
\(465\) | −3.16727 | − | 46.4226i | −0.146879 | − | 2.15280i | ||||
\(466\) | 0.511538 | − | 0.886010i | 0.0236965 | − | 0.0410436i | ||||
\(467\) | −0.315959 | + | 0.547257i | −0.0146208 | + | 0.0253240i | −0.873243 | − | 0.487285i | \(-0.837987\pi\) |
0.858622 | + | 0.512609i | \(0.171321\pi\) | |||||||
\(468\) | 11.7211 | + | 14.1917i | 0.541807 | + | 0.656014i | ||||
\(469\) | 3.86009 | + | 1.15147i | 0.178243 | + | 0.0531698i | ||||
\(470\) | −4.98451 | + | 2.87781i | −0.229918 | + | 0.132743i | ||||
\(471\) | 12.6809 | − | 8.52220i | 0.584305 | − | 0.392682i | ||||
\(472\) | − | 3.36096i | − | 0.154701i | ||||||
\(473\) | −42.7996 | + | 24.7103i | −1.96793 | + | 1.13618i | ||||
\(474\) | −3.64986 | − | 1.78781i | −0.167644 | − | 0.0821167i | ||||
\(475\) | −2.61596 | − | 1.51033i | −0.120029 | − | 0.0692986i | ||||
\(476\) | −0.674886 | − | 2.83504i | −0.0309334 | − | 0.129944i | ||||
\(477\) | −0.111262 | + | 0.0863224i | −0.00509432 | + | 0.00395243i | ||||
\(478\) | −12.9883 | −0.594072 | ||||||||
\(479\) | 11.1651 | − | 19.3385i | 0.510146 | − | 0.883599i | −0.489785 | − | 0.871843i | \(-0.662925\pi\) |
0.999931 | − | 0.0117553i | \(-0.00374193\pi\) | |||||||
\(480\) | −20.7162 | − | 10.1474i | −0.945560 | − | 0.463162i | ||||
\(481\) | −7.50386 | − | 12.1273i | −0.342147 | − | 0.552958i | ||||
\(482\) | 11.4098 | 0.519704 | ||||||||
\(483\) | 4.52118 | − | 1.40760i | 0.205721 | − | 0.0640481i | ||||
\(484\) | 21.5535 | + | 37.3317i | 0.979704 | + | 1.69690i | ||||
\(485\) | 21.5664 | − | 12.4514i | 0.979282 | − | 0.565389i | ||||
\(486\) | 2.84436 | + | 8.02540i | 0.129023 | + | 0.364040i | ||||
\(487\) | −40.2883 | −1.82563 | −0.912817 | − | 0.408368i | \(-0.866098\pi\) | ||||
−0.912817 | + | 0.408368i | \(0.866098\pi\) | |||||||
\(488\) | 3.63206 | + | 6.29091i | 0.164416 | + | 0.284776i | ||||
\(489\) | 12.1504 | + | 18.0796i | 0.549459 | + | 0.817587i | ||||
\(490\) | −9.59372 | − | 0.539681i | −0.433400 | − | 0.0243803i | ||||
\(491\) | −6.70526 | + | 3.87128i | −0.302604 | + | 0.174709i | −0.643612 | − | 0.765352i | \(-0.722565\pi\) |
0.341008 | + | 0.940060i | \(0.389232\pi\) | |||||||
\(492\) | 14.7529 | + | 21.9522i | 0.665114 | + | 0.989680i | ||||
\(493\) | −2.88862 | + | 1.66775i | −0.130097 | + | 0.0751116i | ||||
\(494\) | 2.13997 | − | 3.98225i | 0.0962817 | − | 0.179170i | ||||
\(495\) | −35.9055 | + | 27.8573i | −1.61383 | + | 1.25209i | ||||
\(496\) | 21.2824 | − | 12.2874i | 0.955608 | − | 0.551721i | ||||
\(497\) | −10.0192 | + | 33.5878i | −0.449425 | + | 1.50662i | ||||
\(498\) | 0.765137 | + | 11.2146i | 0.0342866 | + | 0.502538i | ||||
\(499\) | −7.94320 | + | 13.7580i | −0.355587 | + | 0.615894i | −0.987218 | − | 0.159375i | \(-0.949052\pi\) |
0.631632 | + | 0.775269i | \(0.282386\pi\) | |||||||
\(500\) | −15.7552 | −0.704593 | ||||||||
\(501\) | −12.9716 | − | 19.3015i | −0.579527 | − | 0.862328i | ||||
\(502\) | 9.61407 | + | 5.55069i | 0.429097 | + | 0.247739i | ||||
\(503\) | 14.9743 | − | 25.9362i | 0.667671 | − | 1.15644i | −0.310883 | − | 0.950448i | \(-0.600625\pi\) |
0.978554 | − | 0.205992i | \(-0.0660420\pi\) | |||||||
\(504\) | −14.9624 | + | 5.80243i | −0.666480 | + | 0.258461i | ||||
\(505\) | −6.68154 | − | 11.5728i | −0.297325 | − | 0.514981i | ||||
\(506\) | −2.94623 | − | 1.70101i | −0.130976 | − | 0.0756190i | ||||
\(507\) | 8.65378 | − | 20.7873i | 0.384328 | − | 0.923197i | ||||
\(508\) | 2.71600 | + | 4.70426i | 0.120503 | + | 0.208718i | ||||
\(509\) | 6.60075 | 0.292573 | 0.146286 | − | 0.989242i | \(-0.453268\pi\) | ||||
0.146286 | + | 0.989242i | \(0.453268\pi\) | |||||||
\(510\) | −1.38211 | − | 0.676999i | −0.0612011 | − | 0.0299780i | ||||
\(511\) | −10.0074 | − | 10.5861i | −0.442699 | − | 0.468303i | ||||
\(512\) | − | 21.4795i | − | 0.949271i | ||||||
\(513\) | −8.90465 | + | 7.93632i | −0.393150 | + | 0.350397i | ||||
\(514\) | 13.0502i | 0.575620i | ||||||||
\(515\) | −6.06769 | + | 3.50318i | −0.267375 | + | 0.154369i | ||||
\(516\) | 10.6302 | − | 21.7018i | 0.467966 | − | 0.955368i | ||||
\(517\) | −21.8874 | + | 12.6367i | −0.962607 | + | 0.555762i | ||||
\(518\) | 5.56058 | − | 1.32371i | 0.244318 | − | 0.0581603i | ||||
\(519\) | 8.16106 | + | 12.1435i | 0.358231 | + | 0.533042i | ||||
\(520\) | 0.558677 | + | 18.3122i | 0.0244996 | + | 0.803043i | ||||
\(521\) | 11.1062 | + | 19.2365i | 0.486570 | + | 0.842764i | 0.999881 | − | 0.0154387i | \(-0.00491447\pi\) |
−0.513311 | + | 0.858203i | \(0.671581\pi\) | |||||||
\(522\) | 5.17591 | + | 6.67127i | 0.226544 | + | 0.291994i | ||||
\(523\) | − | 26.3581i | − | 1.15256i | −0.817252 | − | 0.576280i | \(-0.804504\pi\) | ||
0.817252 | − | 0.576280i | \(-0.195496\pi\) | |||||||
\(524\) | 2.81082 | − | 4.86849i | 0.122791 | − | 0.212681i | ||||
\(525\) | 4.08989 | − | 4.43112i | 0.178497 | − | 0.193390i | ||||
\(526\) | −0.441265 | + | 0.764294i | −0.0192401 | + | 0.0333248i | ||||
\(527\) | 5.99238 | − | 3.45970i | 0.261032 | − | 0.150707i | ||||
\(528\) | −21.5545 | − | 10.5580i | −0.938038 | − | 0.459478i | ||||
\(529\) | 21.9323 | 0.953577 | ||||||||
\(530\) | −0.0644352 | −0.00279888 | ||||||||
\(531\) | 4.94068 | − | 0.677327i | 0.214407 | − | 0.0293935i | ||||
\(532\) | −7.09972 | − | 7.51033i | −0.307812 | − | 0.325614i | ||||
\(533\) | 15.3157 | − | 28.5009i | 0.663398 | − | 1.23451i | ||||
\(534\) | −0.0653976 | − | 0.958531i | −0.00283003 | − | 0.0414797i | ||||
\(535\) | 41.8401 | + | 24.1564i | 1.80890 | + | 1.04437i | ||||
\(536\) | 2.66590 | + | 1.53916i | 0.115150 | + | 0.0664816i | ||||
\(537\) | −20.0944 | − | 9.84281i | −0.867137 | − | 0.424749i | ||||
\(538\) | 8.98647i | 0.387434i | ||||||||
\(539\) | −42.1268 | − | 2.36978i | −1.81453 | − | 0.102074i | ||||
\(540\) | 6.97395 | − | 21.0986i | 0.300111 | − | 0.907941i | ||||
\(541\) | 7.27566 | − | 12.6018i | 0.312805 | − | 0.541794i | −0.666164 | − | 0.745806i | \(-0.732065\pi\) |
0.978968 | + | 0.204012i | \(0.0653981\pi\) | |||||||
\(542\) | −0.335508 | −0.0144113 | ||||||||
\(543\) | 0.160471 | + | 2.35202i | 0.00688648 | + | 0.100935i | ||||
\(544\) | − | 3.43035i | − | 0.147075i | ||||||
\(545\) | 15.2064 | 0.651369 | ||||||||
\(546\) | 6.81534 | + | 5.91599i | 0.291669 | + | 0.253181i | ||||
\(547\) | 13.3560 | 0.571060 | 0.285530 | − | 0.958370i | \(-0.407830\pi\) | ||||
0.285530 | + | 0.958370i | \(0.407830\pi\) | |||||||
\(548\) | − | 14.0405i | − | 0.599780i | ||||||
\(549\) | −8.51581 | + | 6.60700i | −0.363446 | + | 0.281980i | ||||
\(550\) | −4.33231 | −0.184730 | ||||||||
\(551\) | −5.91439 | + | 10.2440i | −0.251961 | + | 0.436410i | ||||
\(552\) | 3.61025 | − | 0.246316i | 0.153663 | − | 0.0104839i | ||||
\(553\) | 10.8917 | + | 3.24899i | 0.463161 | + | 0.138161i | ||||
\(554\) | 5.28038i | 0.224342i | ||||||||
\(555\) | −7.57364 | + | 15.4618i | −0.321483 | + | 0.656317i | ||||
\(556\) | −12.7688 | − | 7.37205i | −0.541516 | − | 0.312644i | ||||
\(557\) | −18.5391 | − | 10.7035i | −0.785525 | − | 0.453523i | 0.0528599 | − | 0.998602i | \(-0.483166\pi\) |
−0.838385 | + | 0.545079i | \(0.816500\pi\) | |||||||
\(558\) | −10.7373 | − | 13.8394i | −0.454546 | − | 0.585868i | ||||
\(559\) | −29.5482 | + | 0.901470i | −1.24976 | + | 0.0381281i | ||||
\(560\) | 14.6482 | + | 4.36956i | 0.619000 | + | 0.184648i | ||||
\(561\) | −6.06898 | − | 2.97276i | −0.256233 | − | 0.125510i | ||||
\(562\) | −2.32223 | −0.0979571 | ||||||||
\(563\) | 29.5628 | 1.24593 | 0.622963 | − | 0.782252i | \(-0.285929\pi\) | ||||
0.622963 | + | 0.782252i | \(0.285929\pi\) | |||||||
\(564\) | 5.43619 | − | 11.0981i | 0.228905 | − | 0.467316i | ||||
\(565\) | −18.6626 | + | 10.7748i | −0.785140 | + | 0.453301i | ||||
\(566\) | 3.67778 | − | 6.37011i | 0.154589 | − | 0.267756i | ||||
\(567\) | −11.5450 | − | 20.8258i | −0.484846 | − | 0.874599i | ||||
\(568\) | −13.3927 | + | 23.1968i | −0.561944 | + | 0.973316i | ||||
\(569\) | − | 27.5786i | − | 1.15616i | −0.815982 | − | 0.578078i | \(-0.803803\pi\) | ||
0.815982 | − | 0.578078i | \(-0.196197\pi\) | |||||||
\(570\) | −5.44520 | + | 0.371509i | −0.228074 | + | 0.0155608i | ||||
\(571\) | 17.4312 | + | 30.1918i | 0.729475 | + | 1.26349i | 0.957105 | + | 0.289740i | \(0.0935689\pi\) |
−0.227630 | + | 0.973748i | \(0.573098\pi\) | |||||||
\(572\) | 1.12774 | + | 36.9648i | 0.0471531 | + | 1.54558i | ||||
\(573\) | 14.8216 | − | 9.96088i | 0.619183 | − | 0.416122i | ||||
\(574\) | 8.90874 | + | 9.42397i | 0.371843 | + | 0.393349i | ||||
\(575\) | −1.17754 | + | 0.679853i | −0.0491068 | + | 0.0283518i | ||||
\(576\) | 5.06252 | − | 0.694030i | 0.210938 | − | 0.0289179i | ||||
\(577\) | −9.56438 | + | 5.52200i | −0.398170 | + | 0.229884i | −0.685694 | − | 0.727890i | \(-0.740501\pi\) |
0.287524 | + | 0.957773i | \(0.407168\pi\) | |||||||
\(578\) | 9.05668i | 0.376708i | ||||||||
\(579\) | 2.46831 | − | 5.03914i | 0.102580 | − | 0.209419i | ||||
\(580\) | − | 22.0364i | − | 0.915014i | ||||||
\(581\) | −7.27989 | − | 30.5811i | −0.302021 | − | 1.26872i | ||||
\(582\) | 4.12378 | − | 8.41882i | 0.170936 | − | 0.348971i | ||||
\(583\) | −0.282940 | −0.0117182 | ||||||||
\(584\) | −5.56624 | − | 9.64100i | −0.230332 | − | 0.398948i | ||||
\(585\) | −26.8067 | + | 4.51169i | −1.10832 | + | 0.186535i | ||||
\(586\) | 6.56417 | + | 3.78982i | 0.271163 | + | 0.156556i | ||||
\(587\) | 12.6832 | + | 21.9680i | 0.523493 | + | 0.906717i | 0.999626 | + | 0.0273434i | \(0.00870477\pi\) |
−0.476133 | + | 0.879373i | \(0.657962\pi\) | |||||||
\(588\) | 17.7431 | − | 10.5281i | 0.731713 | − | 0.434172i | ||||
\(589\) | 12.2692 | − | 21.2510i | 0.505546 | − | 0.875631i | ||||
\(590\) | 1.97612 | + | 1.14092i | 0.0813557 | + | 0.0469707i | ||||
\(591\) | −19.7225 | + | 13.2545i | −0.811274 | + | 0.545217i | ||||
\(592\) | −9.09308 | −0.373723 | ||||||||
\(593\) | 5.88143 | − | 10.1869i | 0.241521 | − | 0.418327i | −0.719627 | − | 0.694361i | \(-0.755687\pi\) |
0.961148 | + | 0.276034i | \(0.0890203\pi\) | |||||||
\(594\) | −5.36903 | + | 16.2432i | −0.220294 | + | 0.666465i | ||||
\(595\) | 4.12442 | + | 1.23031i | 0.169085 | + | 0.0504380i | ||||
\(596\) | −20.3541 | + | 11.7515i | −0.833738 | + | 0.481359i | ||||
\(597\) | 0.392625 | + | 5.75469i | 0.0160691 | + | 0.235524i | ||||
\(598\) | −1.07076 | − | 1.73050i | −0.0437867 | − | 0.0707654i | ||||
\(599\) | 39.8531 | − | 23.0092i | 1.62835 | − | 0.940131i | 0.643770 | − | 0.765219i | \(-0.277369\pi\) |
0.984584 | − | 0.174911i | \(-0.0559639\pi\) | |||||||
\(600\) | 3.82470 | − | 2.57039i | 0.156143 | − | 0.104936i | ||||
\(601\) | 26.1034 | − | 15.0708i | 1.06478 | − | 0.614751i | 0.138030 | − | 0.990428i | \(-0.455923\pi\) |
0.926751 | + | 0.375677i | \(0.122590\pi\) | |||||||
\(602\) | 3.38698 | − | 11.3543i | 0.138043 | − | 0.462765i | ||||
\(603\) | −1.72534 | + | 4.22912i | −0.0702614 | + | 0.172223i | ||||
\(604\) | −6.65106 | − | 11.5200i | −0.270628 | − | 0.468741i | ||||
\(605\) | −63.6638 | −2.58830 | ||||||||
\(606\) | −4.51762 | − | 2.21286i | −0.183516 | − | 0.0898913i | ||||
\(607\) | −31.3997 | + | 18.1286i | −1.27447 | + | 0.735818i | −0.975827 | − | 0.218545i | \(-0.929869\pi\) |
−0.298648 | + | 0.954363i | \(0.596536\pi\) | |||||||
\(608\) | −6.08259 | − | 10.5353i | −0.246681 | − | 0.427265i | ||||
\(609\) | −17.3521 | − | 16.0159i | −0.703142 | − | 0.648995i | ||||
\(610\) | −4.93178 | −0.199682 | ||||||||
\(611\) | −15.1108 | + | 0.461006i | −0.611316 | + | 0.0186503i | ||||
\(612\) | 3.27384 | − | 0.448817i | 0.132337 | − | 0.0181423i | ||||
\(613\) | −16.8491 | + | 29.1835i | −0.680530 | + | 1.17871i | 0.294290 | + | 0.955716i | \(0.404917\pi\) |
−0.974819 | + | 0.222996i | \(0.928416\pi\) | |||||||
\(614\) | −10.4287 | −0.420867 | ||||||||
\(615\) | −38.9713 | + | 2.65889i | −1.57147 | + | 0.107217i | ||||
\(616\) | −30.8987 | − | 9.21707i | −1.24494 | − | 0.371367i | ||||
\(617\) | 6.51889 | + | 3.76368i | 0.262441 | + | 0.151520i | 0.625447 | − | 0.780266i | \(-0.284916\pi\) |
−0.363007 | + | 0.931786i | \(0.618250\pi\) | |||||||
\(618\) | −1.16022 | + | 2.36862i | −0.0466709 | + | 0.0952801i | ||||
\(619\) | −39.6473 | + | 22.8904i | −1.59356 | + | 0.920043i | −0.600871 | + | 0.799346i | \(0.705179\pi\) |
−0.992689 | + | 0.120697i | \(0.961487\pi\) | |||||||
\(620\) | 45.7140i | 1.83592i | ||||||||
\(621\) | 1.08966 | + | 5.25751i | 0.0437264 | + | 0.210977i | ||||
\(622\) | 1.24032 | − | 0.716101i | 0.0497325 | − | 0.0287130i | ||||
\(623\) | 0.622225 | + | 2.61382i | 0.0249289 | + | 0.104720i | ||||
\(624\) | −8.36779 | − | 11.6663i | −0.334980 | − | 0.467024i | ||||
\(625\) | 14.9239 | − | 25.8490i | 0.596957 | − | 1.03396i | ||||
\(626\) | 0.994138 | − | 1.72190i | 0.0397337 | − | 0.0688208i | ||||
\(627\) | −23.9103 | + | 1.63133i | −0.954887 | + | 0.0651490i | ||||
\(628\) | −12.9994 | + | 7.50521i | −0.518732 | + | 0.299490i | ||||
\(629\) | −2.56029 | −0.102086 | ||||||||
\(630\) | 1.66755 | − | 10.7671i | 0.0664368 | − | 0.428971i | ||||
\(631\) | −14.0226 | + | 24.2878i | −0.558230 | + | 0.966882i | 0.439415 | + | 0.898284i | \(0.355186\pi\) |
−0.997644 | + | 0.0685980i | \(0.978147\pi\) | |||||||
\(632\) | 7.52214 | + | 4.34291i | 0.299215 | + | 0.172752i | ||||
\(633\) | 9.02900 | + | 13.4350i | 0.358870 | + | 0.533994i | ||||
\(634\) | 4.62543 | − | 8.01147i | 0.183699 | − | 0.318176i | ||||
\(635\) | −8.02241 | −0.318360 | ||||||||
\(636\) | 0.114828 | − | 0.0771704i | 0.00455324 | − | 0.00306001i | ||||
\(637\) | −21.5261 | − | 13.1768i | −0.852893 | − | 0.522085i | ||||
\(638\) | 16.9652i | 0.671657i | ||||||||
\(639\) | −36.7988 | − | 15.0127i | −1.45574 | − | 0.593894i | ||||
\(640\) | 25.0928 | + | 14.4873i | 0.991879 | + | 0.572662i | ||||
\(641\) | − | 0.923744i | − | 0.0364857i | −0.999834 | − | 0.0182428i | \(-0.994193\pi\) | ||
0.999834 | − | 0.0182428i | \(-0.00580720\pi\) | |||||||
\(642\) | 18.1449 | − | 1.23797i | 0.716124 | − | 0.0488589i | ||||
\(643\) | −6.72532 | − | 3.88286i | −0.265221 | − | 0.153125i | 0.361493 | − | 0.932375i | \(-0.382267\pi\) |
−0.626714 | + | 0.779250i | \(0.715600\pi\) | |||||||
\(644\) | −4.52567 | + | 1.07734i | −0.178336 | + | 0.0424533i | ||||
\(645\) | 19.9072 | + | 29.6216i | 0.783844 | + | 1.16635i | ||||
\(646\) | −0.405810 | − | 0.702883i | −0.0159664 | − | 0.0276546i | ||||
\(647\) | 12.1084 | − | 20.9724i | 0.476030 | − | 0.824509i | −0.523592 | − | 0.851969i | \(-0.675409\pi\) |
0.999623 | + | 0.0274600i | \(0.00874188\pi\) | |||||||
\(648\) | −4.89725 | − | 17.5255i | −0.192382 | − | 0.688467i | ||||
\(649\) | 8.67733 | + | 5.00986i | 0.340615 | + | 0.196654i | ||||
\(650\) | −2.28274 | − | 1.22669i | −0.0895363 | − | 0.0481147i | ||||
\(651\) | 35.9965 | + | 33.2245i | 1.41081 | + | 1.30217i | ||||
\(652\) | −10.7004 | − | 18.5337i | −0.419061 | − | 0.725835i | ||||
\(653\) | 36.0856i | 1.41214i | 0.708142 | + | 0.706070i | \(0.249534\pi\) | ||||
−0.708142 | + | 0.706070i | \(0.750466\pi\) | |||||||
\(654\) | 4.75112 | − | 3.19299i | 0.185784 | − | 0.124856i | ||||
\(655\) | 4.15124 | + | 7.19017i | 0.162203 | + | 0.280943i | ||||
\(656\) | −10.3151 | − | 17.8663i | −0.402738 | − | 0.697563i | ||||
\(657\) | 13.0507 | − | 10.1254i | 0.509157 | − | 0.395030i | ||||
\(658\) | 1.73208 | − | 5.80649i | 0.0675234 | − | 0.226361i | ||||
\(659\) | 10.7491 | + | 6.20598i | 0.418724 | + | 0.241751i | 0.694531 | − | 0.719462i | \(-0.255612\pi\) |
−0.275807 | + | 0.961213i | \(0.588945\pi\) | |||||||
\(660\) | 37.0565 | − | 24.9038i | 1.44242 | − | 0.969381i | ||||
\(661\) | 24.6560 | + | 14.2351i | 0.959006 | + | 0.553682i | 0.895867 | − | 0.444323i | \(-0.146556\pi\) |
0.0631387 | + | 0.998005i | \(0.479889\pi\) | |||||||
\(662\) | 4.93268 | − | 2.84789i | 0.191714 | − | 0.110686i | ||||
\(663\) | −2.35607 | − | 3.28481i | −0.0915023 | − | 0.127571i | ||||
\(664\) | − | 24.0230i | − | 0.932275i | ||||||
\(665\) | 14.8485 | − | 3.53472i | 0.575801 | − | 0.137071i | ||||
\(666\) | 0.880299 | + | 6.42123i | 0.0341109 | + | 0.248818i | ||||
\(667\) | 2.66228 | + | 4.61121i | 0.103084 | + | 0.178547i | ||||
\(668\) | 11.4236 | + | 19.7863i | 0.441993 | + | 0.765554i | ||||
\(669\) | 7.84683 | − | 5.27346i | 0.303376 | − | 0.203884i | ||||
\(670\) | −1.80994 | + | 1.04497i | −0.0699242 | + | 0.0403708i | ||||
\(671\) | −21.6559 | −0.836015 | ||||||||
\(672\) | 23.1874 | − | 7.21905i | 0.894472 | − | 0.278481i | ||||
\(673\) | 5.65042 | + | 9.78682i | 0.217808 | + | 0.377254i | 0.954137 | − | 0.299369i | \(-0.0967761\pi\) |
−0.736330 | + | 0.676623i | \(0.763443\pi\) | |||||||
\(674\) | − | 10.1562i | − | 0.391202i | ||||||
\(675\) | 4.54932 | + | 5.10439i | 0.175103 | + | 0.196468i | ||||
\(676\) | −9.87233 | + | 19.7964i | −0.379705 | + | 0.761402i | ||||
\(677\) | −6.45592 | + | 11.1820i | −0.248121 | + | 0.429758i | −0.963004 | − | 0.269485i | \(-0.913146\pi\) |
0.714883 | + | 0.699244i | \(0.246480\pi\) | |||||||
\(678\) | −3.56852 | + | 7.28524i | −0.137048 | + | 0.279788i | ||||
\(679\) | −7.49416 | + | 25.1229i | −0.287600 | + | 0.964128i | ||||
\(680\) | 2.84845 | + | 1.64456i | 0.109233 | + | 0.0630658i | ||||
\(681\) | −39.3725 | + | 2.68626i | −1.50876 | + | 0.102938i | ||||
\(682\) | − | 35.1938i | − | 1.34764i | ||||||
\(683\) | 8.80340i | 0.336853i | 0.985714 | + | 0.168426i | \(0.0538685\pi\) | ||||
−0.985714 | + | 0.168426i | \(0.946131\pi\) | |||||||
\(684\) | 9.25884 | − | 7.18348i | 0.354020 | − | 0.274667i | ||||
\(685\) | 17.9580 | + | 10.3681i | 0.686140 | + | 0.396143i | ||||
\(686\) | 7.72986 | − | 6.52541i | 0.295128 | − | 0.249141i | ||||
\(687\) | 27.1330 | + | 13.2905i | 1.03519 | + | 0.507066i | ||||
\(688\) | −9.42456 | + | 16.3238i | −0.359308 | + | 0.622340i | ||||
\(689\) | −0.149084 | − | 0.0801143i | −0.00567965 | − | 0.00305211i | ||||
\(690\) | −1.08072 | + | 2.20632i | −0.0411422 | + | 0.0839930i | ||||
\(691\) | − | 21.1867i | − | 0.805981i | −0.915204 | − | 0.402990i | \(-0.867971\pi\) | ||
0.915204 | − | 0.402990i | \(-0.132029\pi\) | |||||||
\(692\) | −7.18716 | − | 12.4485i | −0.273215 | − | 0.473222i | ||||
\(693\) | 7.32235 | − | 47.2792i | 0.278153 | − | 1.79599i | ||||
\(694\) | 4.13279 | 0.156878 | ||||||||
\(695\) | 18.8579 | − | 10.8876i | 0.715321 | − | 0.412991i | ||||
\(696\) | −10.0656 | − | 14.9774i | −0.381534 | − | 0.567717i | ||||
\(697\) | −2.90438 | − | 5.03053i | −0.110011 | − | 0.190545i | ||||
\(698\) | −7.32687 | − | 12.6905i | −0.277326 | − | 0.480343i | ||||
\(699\) | −2.91348 | − | 1.42710i | −0.110198 | − | 0.0539780i | ||||
\(700\) | −4.30512 | + | 4.06975i | −0.162718 | + | 0.153822i | ||||
\(701\) | 39.6954i | 1.49927i | 0.661849 | + | 0.749637i | \(0.269772\pi\) | ||||
−0.661849 | + | 0.749637i | \(0.730228\pi\) | |||||||
\(702\) | −7.42823 | + | 7.03846i | −0.280361 | + | 0.265649i | ||||
\(703\) | −7.86321 | + | 4.53982i | −0.296566 | + | 0.171223i | ||||
\(704\) | 8.89131 | + | 5.13340i | 0.335104 | + | 0.193472i | ||||
\(705\) | 10.1804 | + | 15.1483i | 0.383416 | + | 0.570517i | ||||
\(706\) | 6.07847 | + | 3.50941i | 0.228766 | + | 0.132078i | ||||
\(707\) | 13.4812 | + | 4.02144i | 0.507012 | + | 0.151242i | ||||
\(708\) | −4.88802 | + | 0.333494i | −0.183703 | + | 0.0125335i | ||||
\(709\) | 4.55698 | + | 7.89293i | 0.171141 | + | 0.296425i | 0.938819 | − | 0.344411i | \(-0.111921\pi\) |
−0.767678 | + | 0.640836i | \(0.778588\pi\) | |||||||
\(710\) | −9.09260 | − | 15.7488i | −0.341239 | − | 0.591043i | ||||
\(711\) | −4.86825 | + | 11.9329i | −0.182574 | + | 0.447520i | ||||
\(712\) | 2.05329i | 0.0769503i | ||||||||
\(713\) | −5.52284 | − | 9.56583i | −0.206832 | − | 0.358243i | ||||
\(714\) | 1.54698 | − | 0.481631i | 0.0578944 | − | 0.0180246i | ||||
\(715\) | −48.1113 | − | 25.8539i | −1.79926 | − | 0.966880i | ||||
\(716\) | 19.0378 | + | 10.9915i | 0.711474 | + | 0.410770i | ||||
\(717\) | 2.80351 | + | 41.0911i | 0.104699 | + | 1.53457i | ||||
\(718\) | 4.55150 | − | 7.88343i | 0.169860 | − | 0.294207i | ||||
\(719\) | 5.46228 | + | 9.46095i | 0.203709 | + | 0.352834i | 0.949721 | − | 0.313099i | \(-0.101367\pi\) |
−0.746012 | + | 0.665933i | \(0.768034\pi\) | |||||||
\(720\) | −6.54730 | + | 16.0486i | −0.244003 | + | 0.598095i | ||||
\(721\) | 2.10847 | − | 7.06830i | 0.0785237 | − | 0.263237i | ||||
\(722\) | 6.49492 | + | 3.74984i | 0.241716 | + | 0.139555i | ||||
\(723\) | −2.46280 | − | 36.0972i | −0.0915924 | − | 1.34247i | ||||
\(724\) | − | 2.31612i | − | 0.0860780i | ||||||
\(725\) | 5.87216 | + | 3.39029i | 0.218086 | + | 0.125912i | ||||
\(726\) | −19.8913 | + | 13.3679i | −0.738236 | + | 0.496131i | ||||
\(727\) | 45.7930i | 1.69837i | 0.528098 | + | 0.849183i | \(0.322905\pi\) | ||||
−0.528098 | + | 0.849183i | \(0.677095\pi\) | |||||||
\(728\) | −13.6710 | − | 13.6055i | −0.506681 | − | 0.504253i | ||||
\(729\) | 24.7759 | − | 10.7309i | 0.917627 | − | 0.397442i | ||||
\(730\) | 7.55809 | 0.279738 | ||||||||
\(731\) | −2.65362 | + | 4.59621i | −0.0981478 | + | 0.169997i | ||||
\(732\) | 8.78881 | − | 5.90652i | 0.324844 | − | 0.218311i | ||||
\(733\) | 17.4750 | + | 10.0892i | 0.645455 | + | 0.372654i | 0.786713 | − | 0.617319i | \(-0.211781\pi\) |
−0.141258 | + | 0.989973i | \(0.545115\pi\) | |||||||
\(734\) | −7.42079 | + | 12.8532i | −0.273906 | + | 0.474420i | ||||
\(735\) | 0.363408 | + | 30.4680i | 0.0134045 | + | 1.12383i | ||||
\(736\) | −5.47599 | −0.201848 | ||||||||
\(737\) | −7.94762 | + | 4.58856i | −0.292754 | + | 0.169022i | ||||
\(738\) | −11.6180 | + | 9.01384i | −0.427665 | + | 0.331804i | ||||
\(739\) | 24.2829 | − | 42.0593i | 0.893262 | − | 1.54718i | 0.0573213 | − | 0.998356i | \(-0.481744\pi\) |
0.835941 | − | 0.548820i | \(-0.184923\pi\) | |||||||
\(740\) | 8.45747 | − | 14.6488i | 0.310903 | − | 0.538500i | ||||
\(741\) | −13.0605 | − | 5.91063i | −0.479790 | − | 0.217132i | ||||
\(742\) | 0.0492954 | − | 0.0466003i | 0.00180969 | − | 0.00171075i | ||||
\(743\) | −6.39543 | + | 3.69241i | −0.234626 | + | 0.135461i | −0.612704 | − | 0.790312i | \(-0.709918\pi\) |
0.378078 | + | 0.925774i | \(0.376585\pi\) | |||||||
\(744\) | 20.8808 | + | 31.0703i | 0.765526 | + | 1.13909i | ||||
\(745\) | − | 34.7110i | − | 1.27171i | ||||||
\(746\) | 8.08311 | − | 4.66678i | 0.295944 | − | 0.170863i | ||||
\(747\) | 35.3144 | − | 4.84131i | 1.29209 | − | 0.177134i | ||||
\(748\) | 5.74985 | + | 3.31968i | 0.210235 | + | 0.121380i | ||||
\(749\) | −49.4794 | + | 11.7787i | −1.80794 | + | 0.430383i | ||||
\(750\) | −0.596235 | − | 8.73900i | −0.0217714 | − | 0.319103i | ||||
\(751\) | −23.1664 | −0.845353 | −0.422676 | − | 0.906281i | \(-0.638909\pi\) | ||||
−0.422676 | + | 0.906281i | \(0.638909\pi\) | |||||||
\(752\) | −4.81966 | + | 8.34789i | −0.175755 | + | 0.304416i | ||||
\(753\) | 15.4855 | − | 31.6140i | 0.564322 | − | 1.15208i | ||||
\(754\) | −4.80367 | + | 8.93912i | −0.174939 | + | 0.325543i | ||||
\(755\) | 19.6456 | 0.714978 | ||||||||
\(756\) | 9.92344 | + | 21.1849i | 0.360912 | + | 0.770488i | ||||
\(757\) | −19.9604 | − | 34.5725i | −0.725475 | − | 1.25656i | −0.958778 | − | 0.284155i | \(-0.908287\pi\) |
0.233304 | − | 0.972404i | \(-0.425046\pi\) | |||||||
\(758\) | −10.8155 | + | 6.24432i | −0.392836 | + | 0.226804i | ||||
\(759\) | −4.74552 | + | 9.68812i | −0.172251 | + | 0.351657i | ||||
\(760\) | 11.6643 | 0.423108 | ||||||||
\(761\) | −3.98842 | − | 6.90815i | −0.144580 | − | 0.250420i | 0.784636 | − | 0.619957i | \(-0.212850\pi\) |
−0.929216 | + | 0.369536i | \(0.879517\pi\) | |||||||
\(762\) | −2.50655 | + | 1.68453i | −0.0908027 | + | 0.0610239i | ||||
\(763\) | −11.6334 | + | 10.9974i | −0.421159 | + | 0.398133i | ||||
\(764\) | −15.1939 | + | 8.77221i | −0.549696 | + | 0.317367i | ||||
\(765\) | −1.84349 | + | 4.51871i | −0.0666515 | + | 0.163374i | ||||
\(766\) | −4.03073 | + | 2.32714i | −0.145636 | + | 0.0840830i | ||||
\(767\) | 3.15363 | + | 5.09672i | 0.113871 | + | 0.184032i | ||||
\(768\) | 4.99540 | − | 0.340820i | 0.180256 | − | 0.0122983i | ||||
\(769\) | 8.79268 | − | 5.07646i | 0.317072 | − | 0.183062i | −0.333015 | − | 0.942922i | \(-0.608066\pi\) |
0.650087 | + | 0.759860i | \(0.274733\pi\) | |||||||
\(770\) | 15.9082 | − | 15.0385i | 0.573292 | − | 0.541949i | ||||
\(771\) | 41.2868 | − |