Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [525,2,Mod(8,525)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(525, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 3, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("525.8");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 525 = 3 \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 525.bk (of order \(20\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.19214610612\) |
Analytic rank: | \(0\) |
Dimension: | \(480\) |
Relative dimension: | \(60\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 8.5 | ||
Character | \(\chi\) | \(=\) | 525.8 |
Dual form | 525.2.bk.a.197.5 |
$q$-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 \(\left(\mathbb{Z}/525\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(176\) | \(451\) |
\(\chi(n)\) | \(e\left(\frac{3}{20}\right)\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.13379 | + | 2.22520i | −0.801713 | + | 1.57345i | 0.0174207 | + | 0.999848i | \(0.494455\pi\) |
−0.819134 | + | 0.573602i | \(0.805545\pi\) | |||||||
\(3\) | −1.71426 | + | 0.247589i | −0.989731 | + | 0.142945i | ||||
\(4\) | −2.49044 | − | 3.42779i | −1.24522 | − | 1.71390i | ||||
\(5\) | 1.16615 | + | 1.90790i | 0.521518 | + | 0.853240i | ||||
\(6\) | 1.39269 | − | 4.09529i | 0.568562 | − | 1.67189i | ||||
\(7\) | −0.707107 | + | 0.707107i | −0.267261 | + | 0.267261i | ||||
\(8\) | 5.51785 | − | 0.873941i | 1.95085 | − | 0.308985i | ||||
\(9\) | 2.87740 | − | 0.848865i | 0.959133 | − | 0.282955i | ||||
\(10\) | −5.56763 | + | 0.431745i | −1.76064 | + | 0.136530i | ||||
\(11\) | 4.94952 | − | 1.60820i | 1.49234 | − | 0.484889i | 0.554564 | − | 0.832141i | \(-0.312885\pi\) |
0.937772 | + | 0.347251i | \(0.112885\pi\) | |||||||
\(12\) | 5.11795 | + | 5.25953i | 1.47742 | + | 1.51830i | ||||
\(13\) | 4.81671 | − | 2.45424i | 1.33592 | − | 0.680683i | 0.367500 | − | 0.930024i | \(-0.380214\pi\) |
0.968416 | + | 0.249341i | \(0.0802138\pi\) | |||||||
\(14\) | −0.771737 | − | 2.37516i | −0.206256 | − | 0.634789i | ||||
\(15\) | −2.47147 | − | 2.98192i | −0.638130 | − | 0.769929i | ||||
\(16\) | −1.69281 | + | 5.20994i | −0.423203 | + | 1.30248i | ||||
\(17\) | −0.0944286 | − | 0.596198i | −0.0229023 | − | 0.144599i | 0.973587 | − | 0.228314i | \(-0.0733214\pi\) |
−0.996490 | + | 0.0837151i | \(0.973321\pi\) | |||||||
\(18\) | −1.37349 | + | 7.36521i | −0.323734 | + | 1.73600i | ||||
\(19\) | 2.26683 | − | 3.12002i | 0.520046 | − | 0.715782i | −0.465527 | − | 0.885034i | \(-0.654135\pi\) |
0.985573 | + | 0.169252i | \(0.0541351\pi\) | |||||||
\(20\) | 3.63567 | − | 8.74883i | 0.812960 | − | 1.95630i | ||||
\(21\) | 1.03710 | − | 1.38724i | 0.226313 | − | 0.302720i | ||||
\(22\) | −2.03318 | + | 12.8370i | −0.433476 | + | 2.73686i | ||||
\(23\) | 2.75268 | + | 1.40256i | 0.573974 | + | 0.292454i | 0.716783 | − | 0.697296i | \(-0.245614\pi\) |
−0.142810 | + | 0.989750i | \(0.545614\pi\) | |||||||
\(24\) | −9.24267 | + | 2.86432i | −1.88665 | + | 0.584677i | ||||
\(25\) | −2.28018 | + | 4.44980i | −0.456037 | + | 0.889961i | ||||
\(26\) | 13.5007i | 2.64771i | ||||||||
\(27\) | −4.72245 | + | 2.16759i | −0.908836 | + | 0.417153i | ||||
\(28\) | 4.18482 | + | 0.662810i | 0.790856 | + | 0.125259i | ||||
\(29\) | 2.01331 | − | 1.46276i | 0.373863 | − | 0.271627i | −0.384948 | − | 0.922938i | \(-0.625781\pi\) |
0.758811 | + | 0.651311i | \(0.225781\pi\) | |||||||
\(30\) | 9.43749 | − | 2.11861i | 1.72304 | − | 0.386803i | ||||
\(31\) | −4.50800 | − | 3.27525i | −0.809660 | − | 0.588252i | 0.104072 | − | 0.994570i | \(-0.466813\pi\) |
−0.913732 | + | 0.406317i | \(0.866813\pi\) | |||||||
\(32\) | −1.77314 | − | 1.77314i | −0.313450 | − | 0.313450i | ||||
\(33\) | −8.08661 | + | 3.98232i | −1.40770 | + | 0.693233i | ||||
\(34\) | 1.43372 | + | 0.465844i | 0.245881 | + | 0.0798916i | ||||
\(35\) | −2.17368 | − | 0.524498i | −0.367420 | − | 0.0886563i | ||||
\(36\) | −10.0757 | − | 7.74908i | −1.67928 | − | 1.29151i | ||||
\(37\) | 3.43379 | + | 6.73920i | 0.564512 | + | 1.10792i | 0.980126 | + | 0.198376i | \(0.0635667\pi\) |
−0.415614 | + | 0.909541i | \(0.636433\pi\) | |||||||
\(38\) | 4.37254 | + | 8.58160i | 0.709320 | + | 1.39212i | ||||
\(39\) | −7.64947 | + | 5.39977i | −1.22490 | + | 0.864656i | ||||
\(40\) | 8.10204 | + | 9.50837i | 1.28104 | + | 1.50340i | ||||
\(41\) | 2.18253 | + | 0.709148i | 0.340855 | + | 0.110750i | 0.474442 | − | 0.880287i | \(-0.342650\pi\) |
−0.133588 | + | 0.991037i | \(0.542650\pi\) | |||||||
\(42\) | 1.91103 | + | 3.88058i | 0.294878 | + | 0.598787i | ||||
\(43\) | −5.62415 | − | 5.62415i | −0.857675 | − | 0.857675i | 0.133389 | − | 0.991064i | \(-0.457414\pi\) |
−0.991064 | + | 0.133389i | \(0.957414\pi\) | |||||||
\(44\) | −17.8390 | − | 12.9608i | −2.68933 | − | 1.95391i | ||||
\(45\) | 4.97503 | + | 4.49989i | 0.741634 | + | 0.670805i | ||||
\(46\) | −6.24194 | + | 4.53504i | −0.920324 | + | 0.668655i | ||||
\(47\) | −0.952712 | − | 0.150895i | −0.138967 | − | 0.0220103i | 0.0865632 | − | 0.996246i | \(-0.472412\pi\) |
−0.225531 | + | 0.974236i | \(0.572412\pi\) | |||||||
\(48\) | 1.61200 | − | 9.35032i | 0.232673 | − | 1.34960i | ||||
\(49\) | − | 1.00000i | − | 0.142857i | ||||||
\(50\) | −7.31642 | − | 10.1190i | −1.03470 | − | 1.43104i | ||||
\(51\) | 0.309487 | + | 0.998662i | 0.0433369 | + | 0.139841i | ||||
\(52\) | −20.4083 | − | 10.3986i | −2.83013 | − | 1.44202i | ||||
\(53\) | 0.712618 | − | 4.49929i | 0.0978856 | − | 0.618025i | −0.889161 | − | 0.457594i | \(-0.848711\pi\) |
0.987047 | − | 0.160431i | \(-0.0512886\pi\) | |||||||
\(54\) | 0.530976 | − | 12.9660i | 0.0722567 | − | 1.76445i | ||||
\(55\) | 8.84017 | + | 7.56780i | 1.19201 | + | 1.02044i | ||||
\(56\) | −3.28374 | + | 4.51968i | −0.438808 | + | 0.603967i | ||||
\(57\) | −3.11346 | + | 5.90978i | −0.412388 | + | 0.782770i | ||||
\(58\) | 0.972239 | + | 6.13848i | 0.127661 | + | 0.806021i | ||||
\(59\) | 0.837050 | − | 2.57618i | 0.108975 | − | 0.335389i | −0.881668 | − | 0.471870i | \(-0.843579\pi\) |
0.990643 | + | 0.136481i | \(0.0435791\pi\) | |||||||
\(60\) | −4.06638 | + | 15.8979i | −0.524967 | + | 2.05242i | ||||
\(61\) | −0.225468 | − | 0.693918i | −0.0288682 | − | 0.0888471i | 0.935584 | − | 0.353103i | \(-0.114874\pi\) |
−0.964453 | + | 0.264256i | \(0.914874\pi\) | |||||||
\(62\) | 12.3992 | − | 6.31771i | 1.57470 | − | 0.802350i | ||||
\(63\) | −1.43439 | + | 2.63487i | −0.180716 | + | 0.331962i | ||||
\(64\) | −4.46390 | + | 1.45041i | −0.557988 | + | 0.181301i | ||||
\(65\) | 10.2995 | + | 6.32781i | 1.27749 | + | 0.784868i | ||||
\(66\) | 0.307112 | − | 22.5094i | 0.0378029 | − | 2.77072i | ||||
\(67\) | 11.2445 | − | 1.78095i | 1.37373 | − | 0.217578i | 0.574454 | − | 0.818537i | \(-0.305214\pi\) |
0.799280 | + | 0.600958i | \(0.205214\pi\) | |||||||
\(68\) | −1.80847 | + | 1.80847i | −0.219310 | + | 0.219310i | ||||
\(69\) | −5.06608 | − | 1.72283i | −0.609884 | − | 0.207404i | ||||
\(70\) | 3.63162 | − | 4.24220i | 0.434061 | − | 0.507040i | ||||
\(71\) | 8.20939 | + | 11.2993i | 0.974276 | + | 1.34098i | 0.939857 | + | 0.341568i | \(0.110958\pi\) |
0.0344188 | + | 0.999407i | \(0.489042\pi\) | |||||||
\(72\) | 15.1352 | − | 7.19858i | 1.78370 | − | 0.848361i | ||||
\(73\) | −0.973371 | + | 1.91035i | −0.113925 | + | 0.223589i | −0.940928 | − | 0.338608i | \(-0.890044\pi\) |
0.827003 | + | 0.562198i | \(0.190044\pi\) | |||||||
\(74\) | −18.8892 | −2.19583 | ||||||||
\(75\) | 2.80712 | − | 8.19269i | 0.324138 | − | 0.946010i | ||||
\(76\) | −16.3402 | −1.87435 | ||||||||
\(77\) | −2.36267 | + | 4.63701i | −0.269251 | + | 0.528436i | ||||
\(78\) | −3.34263 | − | 23.1438i | −0.378478 | − | 2.62052i | ||||
\(79\) | −8.53033 | − | 11.7410i | −0.959738 | − | 1.32097i | −0.947064 | − | 0.321046i | \(-0.895966\pi\) |
−0.0126739 | − | 0.999920i | \(-0.504034\pi\) | |||||||
\(80\) | −11.9141 | + | 2.84585i | −1.33204 | + | 0.318176i | ||||
\(81\) | 7.55886 | − | 4.88505i | 0.839873 | − | 0.542783i | ||||
\(82\) | −4.05254 | + | 4.05254i | −0.447528 | + | 0.447528i | ||||
\(83\) | −3.36396 | + | 0.532798i | −0.369242 | + | 0.0584822i | −0.338298 | − | 0.941039i | \(-0.609851\pi\) |
−0.0309438 | + | 0.999521i | \(0.509851\pi\) | |||||||
\(84\) | −7.33798 | − | 0.100117i | −0.800640 | − | 0.0109237i | ||||
\(85\) | 1.02737 | − | 0.875418i | 0.111434 | − | 0.0949524i | ||||
\(86\) | 18.8915 | − | 6.13821i | 2.03712 | − | 0.661900i | ||||
\(87\) | −3.08918 | + | 3.00602i | −0.331195 | + | 0.322280i | ||||
\(88\) | 25.9052 | − | 13.1994i | 2.76151 | − | 1.40706i | ||||
\(89\) | 3.18616 | + | 9.80599i | 0.337732 | + | 1.03943i | 0.965361 | + | 0.260919i | \(0.0840257\pi\) |
−0.627629 | + | 0.778513i | \(0.715974\pi\) | |||||||
\(90\) | −15.6538 | + | 5.96847i | −1.65006 | + | 0.629132i | ||||
\(91\) | −1.67052 | + | 5.14134i | −0.175118 | + | 0.538959i | ||||
\(92\) | −2.04769 | − | 12.9286i | −0.213486 | − | 1.34790i | ||||
\(93\) | 8.53881 | + | 4.49852i | 0.885433 | + | 0.466474i | ||||
\(94\) | 1.41595 | − | 1.94889i | 0.146044 | − | 0.201012i | ||||
\(95\) | 8.59616 | + | 0.686472i | 0.881947 | + | 0.0704305i | ||||
\(96\) | 3.47864 | + | 2.60062i | 0.355038 | + | 0.265425i | ||||
\(97\) | 0.662995 | − | 4.18599i | 0.0673169 | − | 0.425022i | −0.930897 | − | 0.365282i | \(-0.880973\pi\) |
0.998214 | − | 0.0597406i | \(-0.0190274\pi\) | |||||||
\(98\) | 2.22520 | + | 1.13379i | 0.224779 | + | 0.114530i | ||||
\(99\) | 12.8766 | − | 8.82890i | 1.29415 | − | 0.887337i | ||||
\(100\) | 20.9316 | − | 3.26596i | 2.09316 | − | 0.326596i | ||||
\(101\) | 13.5819i | 1.35145i | 0.737152 | + | 0.675727i | \(0.236170\pi\) | ||||
−0.737152 | + | 0.675727i | \(0.763830\pi\) | |||||||
\(102\) | −2.57311 | − | 0.443606i | −0.254776 | − | 0.0439236i | ||||
\(103\) | −16.0138 | − | 2.53633i | −1.57789 | − | 0.249912i | −0.694827 | − | 0.719177i | \(-0.744519\pi\) |
−0.883058 | + | 0.469264i | \(0.844519\pi\) | |||||||
\(104\) | 24.4330 | − | 17.7516i | 2.39585 | − | 1.74069i | ||||
\(105\) | 3.85613 | + | 0.360948i | 0.376319 | + | 0.0352249i | ||||
\(106\) | 9.20384 | + | 6.68698i | 0.893956 | + | 0.649497i | ||||
\(107\) | −8.83958 | − | 8.83958i | −0.854555 | − | 0.854555i | 0.136136 | − | 0.990690i | \(-0.456532\pi\) |
−0.990690 | + | 0.136136i | \(0.956532\pi\) | |||||||
\(108\) | 19.1910 | + | 10.7893i | 1.84666 | + | 1.03820i | ||||
\(109\) | 13.8393 | + | 4.49666i | 1.32556 | + | 0.430702i | 0.884402 | − | 0.466725i | \(-0.154566\pi\) |
0.441162 | + | 0.897427i | \(0.354566\pi\) | |||||||
\(110\) | −26.8628 | + | 11.0908i | −2.56126 | + | 1.05746i | ||||
\(111\) | −7.55497 | − | 10.7026i | −0.717086 | − | 1.01585i | ||||
\(112\) | −2.48698 | − | 4.88098i | −0.234998 | − | 0.461209i | ||||
\(113\) | 6.68479 | + | 13.1196i | 0.628852 | + | 1.23419i | 0.957143 | + | 0.289616i | \(0.0935275\pi\) |
−0.328291 | + | 0.944577i | \(0.606473\pi\) | |||||||
\(114\) | −9.62039 | − | 13.6285i | −0.901033 | − | 1.27643i | ||||
\(115\) | 0.534091 | + | 6.88744i | 0.0498043 | + | 0.642257i | ||||
\(116\) | −10.0280 | − | 3.25831i | −0.931081 | − | 0.302526i | ||||
\(117\) | 11.7763 | − | 11.1506i | 1.08872 | − | 1.03087i | ||||
\(118\) | 4.78345 | + | 4.78345i | 0.440352 | + | 0.440352i | ||||
\(119\) | 0.488347 | + | 0.354805i | 0.0447667 | + | 0.0325249i | ||||
\(120\) | −16.2432 | − | 14.2939i | −1.48279 | − | 1.30485i | ||||
\(121\) | 13.0123 | − | 9.45396i | 1.18293 | − | 0.859451i | ||||
\(122\) | 1.79974 | + | 0.285050i | 0.162941 | + | 0.0258073i | ||||
\(123\) | −3.91702 | − | 0.675296i | −0.353185 | − | 0.0608894i | ||||
\(124\) | 23.6093i | 2.12017i | ||||||||
\(125\) | −11.1488 | + | 0.838773i | −0.997182 | + | 0.0750221i | ||||
\(126\) | −4.23679 | − | 6.17919i | −0.377443 | − | 0.550486i | ||||
\(127\) | 16.8972 | + | 8.60953i | 1.49938 | + | 0.763973i | 0.995035 | − | 0.0995290i | \(-0.0317336\pi\) |
0.504346 | + | 0.863502i | \(0.331734\pi\) | |||||||
\(128\) | 2.61825 | − | 16.5310i | 0.231423 | − | 1.46115i | ||||
\(129\) | 11.0338 | + | 8.24880i | 0.971468 | + | 0.726266i | ||||
\(130\) | −25.7581 | + | 15.7439i | −2.25913 | + | 1.38083i | ||||
\(131\) | −11.1855 | + | 15.3956i | −0.977284 | + | 1.34512i | −0.0390039 | + | 0.999239i | \(0.512418\pi\) |
−0.938280 | + | 0.345877i | \(0.887582\pi\) | |||||||
\(132\) | 33.7897 | + | 17.8015i | 2.94102 | + | 1.54942i | ||||
\(133\) | 0.603299 | + | 3.80908i | 0.0523126 | + | 0.330289i | ||||
\(134\) | −8.78597 | + | 27.0404i | −0.758993 | + | 2.33594i | ||||
\(135\) | −9.64264 | − | 6.48224i | −0.829906 | − | 0.557903i | ||||
\(136\) | −1.04208 | − | 3.20721i | −0.0893580 | − | 0.275016i | ||||
\(137\) | −4.87216 | + | 2.48249i | −0.416257 | + | 0.212093i | −0.649560 | − | 0.760311i | \(-0.725047\pi\) |
0.233303 | + | 0.972404i | \(0.425047\pi\) | |||||||
\(138\) | 9.57751 | − | 9.31968i | 0.815292 | − | 0.793344i | ||||
\(139\) | 0.240202 | − | 0.0780465i | 0.0203737 | − | 0.00661982i | −0.298812 | − | 0.954312i | \(-0.596590\pi\) |
0.319186 | + | 0.947692i | \(0.396590\pi\) | |||||||
\(140\) | 3.61555 | + | 8.75716i | 0.305570 | + | 0.740115i | ||||
\(141\) | 1.67056 | + | 0.0227927i | 0.140687 | + | 0.00191949i | ||||
\(142\) | −34.4508 | + | 5.45647i | −2.89105 | + | 0.457897i | ||||
\(143\) | 19.8935 | − | 19.8935i | 1.66358 | − | 1.66358i | ||||
\(144\) | −0.448363 | + | 16.4280i | −0.0373636 | + | 1.36900i | ||||
\(145\) | 5.13862 | + | 2.13541i | 0.426739 | + | 0.177336i | ||||
\(146\) | −3.14730 | − | 4.33188i | −0.260472 | − | 0.358509i | ||||
\(147\) | 0.247589 | + | 1.71426i | 0.0204208 | + | 0.141390i | ||||
\(148\) | 14.5489 | − | 28.5539i | 1.19591 | − | 2.34711i | ||||
\(149\) | 18.6434 | 1.52733 | 0.763664 | − | 0.645614i | \(-0.223399\pi\) | ||||
0.763664 | + | 0.645614i | \(0.223399\pi\) | |||||||
\(150\) | 15.0476 | + | 15.5352i | 1.22863 | + | 1.26844i | ||||
\(151\) | 2.65772 | 0.216282 | 0.108141 | − | 0.994136i | \(-0.465510\pi\) | ||||
0.108141 | + | 0.994136i | \(0.465510\pi\) | |||||||
\(152\) | 9.78130 | − | 19.1969i | 0.793368 | − | 1.55707i | ||||
\(153\) | −0.777800 | − | 1.63534i | −0.0628814 | − | 0.132210i | ||||
\(154\) | −7.63946 | − | 10.5148i | −0.615605 | − | 0.847308i | ||||
\(155\) | 0.991856 | − | 12.4203i | 0.0796678 | − | 0.997619i | ||||
\(156\) | 37.5598 | + | 12.7730i | 3.00719 | + | 1.02266i | ||||
\(157\) | 5.66018 | − | 5.66018i | 0.451731 | − | 0.451731i | −0.444198 | − | 0.895929i | \(-0.646511\pi\) |
0.895929 | + | 0.444198i | \(0.146511\pi\) | |||||||
\(158\) | 35.7977 | − | 5.66979i | 2.84791 | − | 0.451064i | ||||
\(159\) | −0.107641 | + | 7.88941i | −0.00853648 | + | 0.625671i | ||||
\(160\) | 1.31523 | − | 5.45074i | 0.103978 | − | 0.430919i | ||||
\(161\) | −2.93820 | + | 0.954679i | −0.231563 | + | 0.0752392i | ||||
\(162\) | 2.30000 | + | 22.3586i | 0.180705 | + | 1.75665i | ||||
\(163\) | −5.76421 | + | 2.93701i | −0.451487 | + | 0.230044i | −0.664922 | − | 0.746913i | \(-0.731535\pi\) |
0.213434 | + | 0.976957i | \(0.431535\pi\) | |||||||
\(164\) | −3.00465 | − | 9.24736i | −0.234624 | − | 0.722097i | ||||
\(165\) | −17.0281 | − | 10.7845i | −1.32563 | − | 0.839571i | ||||
\(166\) | 2.62845 | − | 8.08954i | 0.204007 | − | 0.627870i | ||||
\(167\) | −1.00330 | − | 6.33462i | −0.0776381 | − | 0.490187i | −0.995614 | − | 0.0935522i | \(-0.970178\pi\) |
0.917976 | − | 0.396635i | \(-0.129822\pi\) | |||||||
\(168\) | 4.51017 | − | 8.56093i | 0.347967 | − | 0.660490i | ||||
\(169\) | 9.53623 | − | 13.1255i | 0.733556 | − | 1.00965i | ||||
\(170\) | 0.783149 | + | 3.27864i | 0.0600648 | + | 0.251460i | ||||
\(171\) | 3.87409 | − | 10.9018i | 0.296259 | − | 0.833680i | ||||
\(172\) | −5.27182 | + | 33.2850i | −0.401973 | + | 2.53796i | ||||
\(173\) | −20.5076 | − | 10.4492i | −1.55917 | − | 0.794434i | −0.559751 | − | 0.828661i | \(-0.689103\pi\) |
−0.999414 | + | 0.0342265i | \(0.989103\pi\) | |||||||
\(174\) | −3.18649 | − | 10.2822i | −0.241567 | − | 0.779495i | ||||
\(175\) | −1.53415 | − | 4.75882i | −0.115971 | − | 0.359733i | ||||
\(176\) | 28.5091i | 2.14895i | ||||||||
\(177\) | −0.797093 | + | 4.62349i | −0.0599132 | + | 0.347523i | ||||
\(178\) | −25.4327 | − | 4.02814i | −1.90626 | − | 0.301922i | ||||
\(179\) | −7.59106 | + | 5.51523i | −0.567383 | + | 0.412228i | −0.834153 | − | 0.551532i | \(-0.814043\pi\) |
0.266771 | + | 0.963760i | \(0.414043\pi\) | |||||||
\(180\) | 3.03469 | − | 28.2601i | 0.226193 | − | 2.10638i | ||||
\(181\) | −16.2650 | − | 11.8172i | −1.20896 | − | 0.878364i | −0.213828 | − | 0.976871i | \(-0.568593\pi\) |
−0.995136 | + | 0.0985074i | \(0.968593\pi\) | |||||||
\(182\) | −9.54645 | − | 9.54645i | −0.707630 | − | 0.707630i | ||||
\(183\) | 0.558318 | + | 1.13374i | 0.0412720 | + | 0.0838082i | ||||
\(184\) | 16.4146 | + | 5.33343i | 1.21010 | + | 0.393186i | ||||
\(185\) | −8.85341 | + | 14.4103i | −0.650916 | + | 1.05946i | ||||
\(186\) | −19.6913 | + | 13.9001i | −1.44384 | + | 1.01921i | ||||
\(187\) | −1.42618 | − | 2.79904i | −0.104293 | − | 0.204686i | ||||
\(188\) | 1.85543 | + | 3.64149i | 0.135321 | + | 0.265583i | ||||
\(189\) | 1.80656 | − | 4.87200i | 0.131408 | − | 0.354386i | ||||
\(190\) | −11.2738 | + | 18.3498i | −0.817888 | + | 1.33124i | ||||
\(191\) | −16.6041 | − | 5.39501i | −1.20143 | − | 0.390369i | −0.361145 | − | 0.932510i | \(-0.617614\pi\) |
−0.840288 | + | 0.542141i | \(0.817614\pi\) | |||||||
\(192\) | 7.29320 | − | 3.59160i | 0.526342 | − | 0.259201i | ||||
\(193\) | −9.24804 | − | 9.24804i | −0.665689 | − | 0.665689i | 0.291026 | − | 0.956715i | \(-0.406003\pi\) |
−0.956715 | + | 0.291026i | \(0.906003\pi\) | |||||||
\(194\) | 8.56294 | + | 6.22134i | 0.614783 | + | 0.446666i | ||||
\(195\) | −19.2227 | − | 8.29750i | −1.37656 | − | 0.594196i | ||||
\(196\) | −3.42779 | + | 2.49044i | −0.244842 | + | 0.177888i | ||||
\(197\) | 8.64741 | + | 1.36962i | 0.616103 | + | 0.0975811i | 0.456682 | − | 0.889630i | \(-0.349038\pi\) |
0.159420 | + | 0.987211i | \(0.449038\pi\) | |||||||
\(198\) | 5.04660 | + | 38.6631i | 0.358647 | + | 2.74767i | ||||
\(199\) | 17.9918i | 1.27541i | 0.770282 | + | 0.637703i | \(0.220115\pi\) | ||||
−0.770282 | + | 0.637703i | \(0.779885\pi\) | |||||||
\(200\) | −8.69284 | + | 26.5461i | −0.614677 | + | 1.87709i | ||||
\(201\) | −18.8351 | + | 5.83704i | −1.32853 | + | 0.411713i | ||||
\(202\) | −30.2225 | − | 15.3991i | −2.12645 | − | 1.08348i | ||||
\(203\) | −0.389301 | + | 2.45795i | −0.0273236 | + | 0.172514i | ||||
\(204\) | 2.65244 | − | 3.54796i | 0.185708 | − | 0.248407i | ||||
\(205\) | 1.19218 | + | 4.99104i | 0.0832653 | + | 0.348589i | ||||
\(206\) | 23.8002 | − | 32.7581i | 1.65824 | − | 2.28237i | ||||
\(207\) | 9.11115 | + | 1.69907i | 0.633268 | + | 0.118094i | ||||
\(208\) | 4.63264 | + | 29.2493i | 0.321216 | + | 2.02808i | ||||
\(209\) | 6.20210 | − | 19.0881i | 0.429008 | − | 1.32035i | ||||
\(210\) | −5.17523 | + | 8.17140i | −0.357125 | + | 0.563880i | ||||
\(211\) | −0.571692 | − | 1.75949i | −0.0393569 | − | 0.121128i | 0.929448 | − | 0.368954i | \(-0.120284\pi\) |
−0.968805 | + | 0.247826i | \(0.920284\pi\) | |||||||
\(212\) | −17.1974 | + | 8.76249i | −1.18112 | + | 0.601810i | ||||
\(213\) | −16.8706 | − | 17.3374i | −1.15596 | − | 1.18794i | ||||
\(214\) | 29.6921 | − | 9.64753i | 2.02971 | − | 0.659492i | ||||
\(215\) | 4.17172 | − | 17.2889i | 0.284509 | − | 1.17910i | ||||
\(216\) | −24.1634 | + | 16.0876i | −1.64411 | + | 1.09462i | ||||
\(217\) | 5.50359 | − | 0.871683i | 0.373608 | − | 0.0591737i | ||||
\(218\) | −25.6969 | + | 25.6969i | −1.74041 | + | 1.74041i | ||||
\(219\) | 1.19563 | − | 3.51584i | 0.0807935 | − | 0.237578i | ||||
\(220\) | 3.92497 | − | 49.1494i | 0.264621 | − | 3.31365i | ||||
\(221\) | −1.91805 | − | 2.63997i | −0.129022 | − | 0.177583i | ||||
\(222\) | 32.3811 | − | 4.67676i | 2.17328 | − | 0.313884i | ||||
\(223\) | 12.4602 | − | 24.4545i | 0.834396 | − | 1.63759i | 0.0658236 | − | 0.997831i | \(-0.479033\pi\) |
0.768572 | − | 0.639763i | \(-0.220967\pi\) | |||||||
\(224\) | 2.50760 | 0.167546 | ||||||||
\(225\) | −2.78372 | + | 14.7394i | −0.185581 | + | 0.982629i | ||||
\(226\) | −36.7729 | −2.44610 | ||||||||
\(227\) | −3.31174 | + | 6.49966i | −0.219808 | + | 0.431398i | −0.974408 | − | 0.224788i | \(-0.927831\pi\) |
0.754600 | + | 0.656185i | \(0.227831\pi\) | |||||||
\(228\) | 28.0114 | − | 4.04564i | 1.85510 | − | 0.267929i | ||||
\(229\) | 4.81540 | + | 6.62784i | 0.318211 | + | 0.437980i | 0.937920 | − | 0.346852i | \(-0.112749\pi\) |
−0.619709 | + | 0.784832i | \(0.712749\pi\) | |||||||
\(230\) | −15.9315 | − | 6.62048i | −1.05049 | − | 0.436542i | ||||
\(231\) | 2.90217 | − | 8.53402i | 0.190949 | − | 0.561497i | ||||
\(232\) | 9.83078 | − | 9.83078i | 0.645422 | − | 0.645422i | ||||
\(233\) | −27.6691 | + | 4.38236i | −1.81266 | + | 0.287098i | −0.968505 | − | 0.248994i | \(-0.919900\pi\) |
−0.844160 | + | 0.536092i | \(0.819900\pi\) | |||||||
\(234\) | 11.4603 | + | 38.8470i | 0.749182 | + | 2.53951i | ||||
\(235\) | −0.823114 | − | 1.99365i | −0.0536940 | − | 0.130051i | ||||
\(236\) | −10.9152 | + | 3.54657i | −0.710520 | + | 0.230862i | ||||
\(237\) | 17.5302 | + | 18.0152i | 1.13871 | + | 1.17021i | ||||
\(238\) | −1.34319 | + | 0.684392i | −0.0870664 | + | 0.0443625i | ||||
\(239\) | −2.41907 | − | 7.44513i | −0.156477 | − | 0.481585i | 0.841831 | − | 0.539741i | \(-0.181478\pi\) |
−0.998308 | + | 0.0581559i | \(0.981478\pi\) | |||||||
\(240\) | 19.7193 | − | 7.82834i | 1.27288 | − | 0.505317i | ||||
\(241\) | −0.173942 | + | 0.535337i | −0.0112046 | + | 0.0344841i | −0.956502 | − | 0.291724i | \(-0.905771\pi\) |
0.945298 | + | 0.326208i | \(0.105771\pi\) | |||||||
\(242\) | 6.28369 | + | 39.6737i | 0.403931 | + | 2.55032i | ||||
\(243\) | −11.7484 | + | 10.2457i | −0.753660 | + | 0.657265i | ||||
\(244\) | −1.81709 | + | 2.50102i | −0.116328 | + | 0.160111i | ||||
\(245\) | 1.90790 | − | 1.16615i | 0.121891 | − | 0.0745026i | ||||
\(246\) | 5.94375 | − | 7.95048i | 0.378960 | − | 0.506904i | ||||
\(247\) | 3.26139 | − | 20.5916i | 0.207517 | − | 1.31021i | ||||
\(248\) | −27.7368 | − | 14.1326i | −1.76129 | − | 0.897422i | ||||
\(249\) | 5.63479 | − | 1.74623i | 0.357090 | − | 0.110663i | ||||
\(250\) | 10.7740 | − | 25.7593i | 0.681410 | − | 1.62916i | ||||
\(251\) | − | 0.743701i | − | 0.0469420i | −0.999725 | − | 0.0234710i | \(-0.992528\pi\) | ||
0.999725 | − | 0.0234710i | \(-0.00747174\pi\) | |||||||
\(252\) | 12.6040 | − | 1.64517i | 0.793979 | − | 0.103636i | ||||
\(253\) | 15.8800 | + | 2.51515i | 0.998370 | + | 0.158126i | ||||
\(254\) | −38.3158 | + | 27.8381i | −2.40415 | + | 1.74671i | ||||
\(255\) | −1.54444 | + | 1.75506i | −0.0967166 | + | 0.109906i | ||||
\(256\) | 26.2217 | + | 19.0512i | 1.63885 | + | 1.19070i | ||||
\(257\) | −9.06218 | − | 9.06218i | −0.565283 | − | 0.565283i | 0.365520 | − | 0.930803i | \(-0.380891\pi\) |
−0.930803 | + | 0.365520i | \(0.880891\pi\) | |||||||
\(258\) | −30.8652 | + | 15.1998i | −1.92158 | + | 0.946299i | ||||
\(259\) | −7.19339 | − | 2.33727i | −0.446976 | − | 0.145231i | ||||
\(260\) | −3.95974 | − | 51.0634i | −0.245573 | − | 3.16682i | ||||
\(261\) | 4.55142 | − | 5.91796i | 0.281726 | − | 0.366313i | ||||
\(262\) | −21.5760 | − | 42.3454i | −1.33297 | − | 2.61610i | ||||
\(263\) | 2.66639 | + | 5.23308i | 0.164416 | + | 0.322685i | 0.958485 | − | 0.285143i | \(-0.0920410\pi\) |
−0.794069 | + | 0.607828i | \(0.792041\pi\) | |||||||
\(264\) | −41.1404 | + | 29.0410i | −2.53201 | + | 1.78735i | ||||
\(265\) | 9.41523 | − | 3.88725i | 0.578373 | − | 0.238792i | ||||
\(266\) | −9.15996 | − | 2.97625i | −0.561633 | − | 0.182486i | ||||
\(267\) | −7.88977 | − | 16.0212i | −0.482846 | − | 0.980481i | ||||
\(268\) | −34.1084 | − | 34.1084i | −2.08350 | − | 2.08350i | ||||
\(269\) | 6.70010 | + | 4.86791i | 0.408512 | + | 0.296802i | 0.772999 | − | 0.634407i | \(-0.218756\pi\) |
−0.364487 | + | 0.931208i | \(0.618756\pi\) | |||||||
\(270\) | 25.3570 | − | 14.1072i | 1.54318 | − | 0.858539i | ||||
\(271\) | −14.5301 | + | 10.5568i | −0.882643 | + | 0.641278i | −0.933949 | − | 0.357405i | \(-0.883661\pi\) |
0.0513065 | + | 0.998683i | \(0.483661\pi\) | |||||||
\(272\) | 3.26601 | + | 0.517284i | 0.198031 | + | 0.0313650i | ||||
\(273\) | 1.59078 | − | 9.22721i | 0.0962783 | − | 0.558456i | ||||
\(274\) | − | 13.6561i | − | 0.824997i | ||||||
\(275\) | −4.12966 | + | 25.6914i | −0.249028 | + | 1.54925i | ||||
\(276\) | 6.71125 | + | 21.6560i | 0.403970 | + | 1.30354i | ||||
\(277\) | 7.10014 | + | 3.61770i | 0.426606 | + | 0.217367i | 0.654092 | − | 0.756415i | \(-0.273051\pi\) |
−0.227487 | + | 0.973781i | \(0.573051\pi\) | |||||||
\(278\) | −0.0986713 | + | 0.622986i | −0.00591791 | + | 0.0373642i | ||||
\(279\) | −15.7516 | − | 5.59753i | −0.943021 | − | 0.335115i | ||||
\(280\) | −12.4524 | − | 0.994426i | −0.744175 | − | 0.0594283i | ||||
\(281\) | 7.69497 | − | 10.5912i | 0.459043 | − | 0.631819i | −0.515267 | − | 0.857030i | \(-0.672307\pi\) |
0.974310 | + | 0.225211i | \(0.0723072\pi\) | |||||||
\(282\) | −1.94479 | + | 3.69148i | −0.115810 | + | 0.219824i | ||||
\(283\) | 3.55470 | + | 22.4435i | 0.211305 | + | 1.33413i | 0.834045 | + | 0.551697i | \(0.186019\pi\) |
−0.622740 | + | 0.782429i | \(0.713981\pi\) | |||||||
\(284\) | 18.2865 | − | 56.2802i | 1.08511 | − | 3.33961i | ||||
\(285\) | −14.9060 | + | 0.951518i | −0.882958 | + | 0.0563631i | ||||
\(286\) | 21.7118 | + | 66.8221i | 1.28385 | + | 3.95127i | ||||
\(287\) | −2.04473 | + | 1.04184i | −0.120696 | + | 0.0614979i | ||||
\(288\) | −6.60720 | − | 3.59688i | −0.389333 | − | 0.211948i | ||||
\(289\) | 15.8214 | − | 5.14069i | 0.930672 | − | 0.302394i | ||||
\(290\) | −10.5778 | + | 9.01332i | −0.621152 | + | 0.529281i | ||||
\(291\) | −0.100145 | + | 7.34003i | −0.00587063 | + | 0.430280i | ||||
\(292\) | 8.97239 | − | 1.42109i | 0.525070 | − | 0.0831629i | ||||
\(293\) | −8.14442 | + | 8.14442i | −0.475802 | + | 0.475802i | −0.903786 | − | 0.427984i | \(-0.859224\pi\) |
0.427984 | + | 0.903786i | \(0.359224\pi\) | |||||||
\(294\) | −4.09529 | − | 1.39269i | −0.238842 | − | 0.0812232i | ||||
\(295\) | 5.89122 | − | 1.40720i | 0.343000 | − | 0.0819303i | ||||
\(296\) | 24.8368 | + | 34.1849i | 1.44361 | + | 1.98696i | ||||
\(297\) | −19.8880 | + | 18.3232i | −1.15402 | + | 1.06322i | ||||
\(298\) | −21.1378 | + | 41.4852i | −1.22448 | + | 2.40317i | ||||
\(299\) | 16.7011 | 0.965849 | ||||||||
\(300\) | −35.0737 | + | 10.7811i | −2.02498 | + | 0.622450i | ||||
\(301\) | 7.95375 | 0.458446 | ||||||||
\(302\) | −3.01330 | + | 5.91394i | −0.173396 | + | 0.340309i | ||||
\(303\) | −3.36273 | − | 23.2830i | −0.193184 | − | 1.33757i | ||||
\(304\) | 12.4178 | + | 17.0916i | 0.712210 | + | 0.980273i | ||||
\(305\) | 1.06100 | − | 1.23938i | 0.0607526 | − | 0.0709669i | ||||
\(306\) | 4.52083 | + | 0.123385i | 0.258438 | + | 0.00705344i | ||||
\(307\) | 9.64587 | − | 9.64587i | 0.550519 | − | 0.550519i | −0.376072 | − | 0.926591i | \(-0.622725\pi\) |
0.926591 | + | 0.376072i | \(0.122725\pi\) | |||||||
\(308\) | 21.7788 | − | 3.44942i | 1.24096 | − | 0.196549i | ||||
\(309\) | 28.0798 | + | 0.383113i | 1.59740 | + | 0.0217946i | ||||
\(310\) | 26.5129 | + | 16.2891i | 1.50583 | + | 0.925158i | ||||
\(311\) | 25.9049 | − | 8.41702i | 1.46893 | − | 0.477285i | 0.538148 | − | 0.842851i | \(-0.319124\pi\) |
0.930786 | + | 0.365565i | \(0.119124\pi\) | |||||||
\(312\) | −37.4895 | + | 36.4803i | −2.12243 | + | 2.06529i | ||||
\(313\) | −14.8836 | + | 7.58357i | −0.841271 | + | 0.428649i | −0.820851 | − | 0.571142i | \(-0.806500\pi\) |
−0.0204201 | + | 0.999791i | \(0.506500\pi\) | |||||||
\(314\) | 6.17753 | + | 19.0125i | 0.348618 | + | 1.07294i | ||||
\(315\) | −6.69979 | + | 0.335974i | −0.377490 | + | 0.0189300i | ||||
\(316\) | −19.0014 | + | 58.4804i | −1.06891 | + | 3.28978i | ||||
\(317\) | 4.42245 | + | 27.9222i | 0.248389 | + | 1.56827i | 0.724746 | + | 0.689016i | \(0.241957\pi\) |
−0.476357 | + | 0.879252i | \(0.658043\pi\) | |||||||
\(318\) | −17.4334 | − | 9.18448i | −0.977618 | − | 0.515040i | ||||
\(319\) | 7.61252 | − | 10.4777i | 0.426220 | − | 0.586641i | ||||
\(320\) | −7.97283 | − | 6.82530i | −0.445695 | − | 0.381546i | ||||
\(321\) | 17.3420 | + | 12.9648i | 0.967933 | + | 0.723624i | ||||
\(322\) | 1.20696 | − | 7.62048i | 0.0672615 | − | 0.424673i | ||||
\(323\) | −2.07421 | − | 1.05686i | −0.115412 | − | 0.0588053i | ||||
\(324\) | −35.5698 | − | 13.7443i | −1.97610 | − | 0.763572i | ||||
\(325\) | −0.0621167 | + | 27.0295i | −0.00344561 | + | 1.49933i | ||||
\(326\) | − | 16.1564i | − | 0.894823i | ||||||
\(327\) | −24.8375 | − | 4.28201i | −1.37352 | − | 0.236796i | ||||
\(328\) | 12.6626 | + | 2.00557i | 0.699177 | + | 0.110739i | ||||
\(329\) | 0.780368 | − | 0.566971i | 0.0430231 | − | 0.0312581i | ||||
\(330\) | 43.3039 | − | 25.6634i | 2.38380 | − | 1.41273i | ||||
\(331\) | 0.0698430 | + | 0.0507439i | 0.00383892 | + | 0.00278914i | 0.589703 | − | 0.807620i | \(-0.299245\pi\) |
−0.585864 | + | 0.810409i | \(0.699245\pi\) | |||||||
\(332\) | 10.2040 | + | 10.2040i | 0.560019 | + | 0.560019i | ||||
\(333\) | 15.6011 | + | 16.4765i | 0.854933 | + | 0.902909i | ||||
\(334\) | 15.2333 | + | 4.94960i | 0.833529 | + | 0.270830i | ||||
\(335\) | 16.5107 | + | 19.3766i | 0.902074 | + | 1.05865i | ||||
\(336\) | 5.47182 | + | 7.75154i | 0.298512 | + | 0.422881i | ||||
\(337\) | −0.628581 | − | 1.23366i | −0.0342410 | − | 0.0672017i | 0.873252 | − | 0.487268i | \(-0.162007\pi\) |
−0.907493 | + | 0.420067i | \(0.862007\pi\) | |||||||
\(338\) | 18.3947 | + | 36.1016i | 1.00054 | + | 1.96367i | ||||
\(339\) | −14.7078 | − | 20.8355i | −0.798817 | − | 1.13163i | ||||
\(340\) | −5.55935 | − | 1.34144i | −0.301498 | − | 0.0727498i | ||||
\(341\) | −27.5797 | − | 8.96118i | −1.49352 | − | 0.485275i | ||||
\(342\) | 19.8662 | + | 20.9810i | 1.07424 | + | 1.13452i | ||||
\(343\) | 0.707107 | + | 0.707107i | 0.0381802 | + | 0.0381802i | ||||
\(344\) | −35.9484 | − | 26.1180i | −1.93821 | − | 1.40819i | ||||
\(345\) | −2.62083 | − | 11.6747i | −0.141101 | − | 0.628543i | ||||
\(346\) | 46.5028 | − | 33.7863i | 2.50001 | − | 1.81636i | ||||
\(347\) | −1.96867 | − | 0.311807i | −0.105684 | − | 0.0167387i | 0.103368 | − | 0.994643i | \(-0.467038\pi\) |
−0.209052 | + | 0.977904i | \(0.567038\pi\) | |||||||
\(348\) | 17.9974 | + | 3.10277i | 0.964764 | + | 0.166326i | ||||
\(349\) | 1.47234i | 0.0788123i | 0.999223 | + | 0.0394062i | \(0.0125466\pi\) | ||||
−0.999223 | + | 0.0394062i | \(0.987453\pi\) | |||||||
\(350\) | 12.3287 | + | 1.98173i | 0.658998 | + | 0.105928i | ||||
\(351\) | −17.4269 | + | 22.0307i | −0.930180 | + | 1.17591i | ||||
\(352\) | −11.6278 | − | 5.92464i | −0.619762 | − | 0.315785i | ||||
\(353\) | −2.09038 | + | 13.1982i | −0.111260 | + | 0.702468i | 0.867497 | + | 0.497443i | \(0.165728\pi\) |
−0.978757 | + | 0.205025i | \(0.934272\pi\) | |||||||
\(354\) | −9.38443 | − | 7.01577i | −0.498777 | − | 0.372884i | ||||
\(355\) | −11.9845 | + | 28.8394i | −0.636071 | + | 1.53063i | ||||
\(356\) | 25.6779 | − | 35.3427i | 1.36093 | − | 1.87316i | ||||
\(357\) | −0.925001 | − | 0.487320i | −0.0489563 | − | 0.0257917i | ||||
\(358\) | −3.66576 | − | 23.1447i | −0.193742 | − | 1.22324i | ||||
\(359\) | 3.67483 | − | 11.3100i | 0.193950 | − | 0.596917i | −0.806037 | − | 0.591865i | \(-0.798392\pi\) |
0.999987 | − | 0.00505196i | \(-0.00160810\pi\) | |||||||
\(360\) | 31.3841 | + | 20.4818i | 1.65409 | + | 1.07949i | ||||
\(361\) | 1.27530 | + | 3.92497i | 0.0671210 | + | 0.206577i | ||||
\(362\) | 44.7366 | − | 22.7944i | 2.35130 | − | 1.19805i | ||||
\(363\) | −19.9657 | + | 19.4283i | −1.04793 | + | 1.01972i | ||||
\(364\) | 21.7838 | − | 7.07797i | 1.14178 | − | 0.370987i | ||||
\(365\) | −4.77986 | + | 0.370657i | −0.250189 | + | 0.0194011i | ||||
\(366\) | −3.15580 | − | 0.0430569i | −0.164956 | − | 0.00225062i | ||||
\(367\) | −26.0721 | + | 4.12942i | −1.36095 | + | 0.215554i | −0.793861 | − | 0.608100i | \(-0.791932\pi\) |
−0.567093 | + | 0.823654i | \(0.691932\pi\) | |||||||
\(368\) | −11.9670 | + | 11.9670i | −0.623824 | + | 0.623824i | ||||
\(369\) | 6.88199 | + | 0.187827i | 0.358262 | + | 0.00977789i | ||||
\(370\) | −22.0277 | − | 36.0388i | −1.14517 | − | 1.87357i | ||||
\(371\) | 2.67758 | + | 3.68538i | 0.139013 | + | 0.191335i | ||||
\(372\) | −5.84539 | − | 40.4725i | −0.303069 | − | 2.09840i | ||||
\(373\) | −1.86491 | + | 3.66010i | −0.0965616 | + | 0.189513i | −0.934234 | − | 0.356660i | \(-0.883916\pi\) |
0.837673 | + | 0.546172i | \(0.183916\pi\) | |||||||
\(374\) | 7.84540 | 0.405676 | ||||||||
\(375\) | 18.9044 | − | 4.19820i | 0.976217 | − | 0.216794i | ||||
\(376\) | −5.38879 | −0.277906 | ||||||||
\(377\) | 6.10759 | − | 11.9868i | 0.314557 | − | 0.617353i | ||||
\(378\) | 8.79287 | + | 9.54379i | 0.452257 | + | 0.490879i | ||||
\(379\) | −2.99225 | − | 4.11848i | −0.153701 | − | 0.211552i | 0.725222 | − | 0.688516i | \(-0.241737\pi\) |
−0.878923 | + | 0.476964i | \(0.841737\pi\) | |||||||
\(380\) | −19.0551 | − | 31.1754i | −0.977506 | − | 1.59927i | ||||
\(381\) | −31.0978 | − | 10.5755i | −1.59319 | − | 0.541797i | ||||
\(382\) | 30.8306 | − | 30.8306i | 1.57743 | − | 1.57743i | ||||
\(383\) | 20.9314 | − | 3.31521i | 1.06955 | − | 0.169400i | 0.403253 | − | 0.915089i | \(-0.367880\pi\) |
0.666294 | + | 0.745689i | \(0.267880\pi\) | |||||||
\(384\) | −0.395487 | + | 28.9867i | −0.0201821 | + | 1.47922i | ||||
\(385\) | −11.6022 | + | 0.899699i | −0.591302 | + | 0.0458529i | ||||
\(386\) | 31.0641 | − | 10.0933i | 1.58112 | − | 0.513737i | ||||
\(387\) | −20.9571 | − | 11.4088i | −1.06531 | − | 0.579941i | ||||
\(388\) | −15.9998 | + | 8.15232i | −0.812268 | + | 0.413871i | ||||
\(389\) | −4.43676 | − | 13.6550i | −0.224953 | − | 0.692333i | −0.998296 | − | 0.0583464i | \(-0.981417\pi\) |
0.773344 | − | 0.633987i | \(-0.218583\pi\) | |||||||
\(390\) | 40.2581 | − | 33.3666i | 2.03855 | − | 1.68958i | ||||
\(391\) | 0.576273 | − | 1.77359i | 0.0291434 | − | 0.0896941i | ||||
\(392\) | −0.873941 | − | 5.51785i | −0.0441407 | − | 0.278693i | ||||
\(393\) | 15.3632 | − | 29.1614i | 0.774970 | − | 1.47100i | ||||
\(394\) | −12.8520 | + | 17.6893i | −0.647476 | + | 0.891175i | ||||
\(395\) | 12.4530 | − | 29.9668i | 0.626580 | − | 1.50779i | ||||
\(396\) | −62.3320 | − | 22.1505i | −3.13230 | − | 1.11310i | ||||
\(397\) | 1.27823 | − | 8.07040i | 0.0641523 | − | 0.405042i | −0.934626 | − | 0.355632i | \(-0.884266\pi\) |
0.998779 | − | 0.0494103i | \(-0.0157342\pi\) | |||||||
\(398\) | −40.0353 | − | 20.3990i | −2.00679 | − | 1.02251i | ||||
\(399\) | −1.97730 | − | 6.38039i | −0.0989887 | − | 0.319419i | ||||
\(400\) | −19.3233 | − | 19.4123i | −0.966164 | − | 0.970615i | ||||
\(401\) | − | 5.20841i | − | 0.260096i | −0.991508 | − | 0.130048i | \(-0.958487\pi\) | ||
0.991508 | − | 0.130048i | \(-0.0415131\pi\) | |||||||
\(402\) | 8.36657 | − | 48.5298i | 0.417286 | − | 2.42044i | ||||
\(403\) | −29.7520 | − | 4.71225i | −1.48205 | − | 0.234734i | ||||
\(404\) | 46.5560 | − | 33.8249i | 2.31625 | − | 1.68285i | ||||
\(405\) | 18.1350 | + | 8.72486i | 0.901133 | + | 0.433542i | ||||
\(406\) | −5.02803 | − | 3.65308i | −0.249537 | − | 0.181299i | ||||
\(407\) | 27.8336 | + | 27.8336i | 1.37966 | + | 1.37966i | ||||
\(408\) | 2.58048 | + | 5.23999i | 0.127753 | + | 0.259418i | ||||
\(409\) | −11.5525 | − | 3.75364i | −0.571235 | − | 0.185606i | 0.00913514 | − | 0.999958i | \(-0.497092\pi\) |
−0.580370 | + | 0.814353i | \(0.697092\pi\) | |||||||
\(410\) | −12.4577 | − | 3.00598i | −0.615243 | − | 0.148455i | ||||
\(411\) | 7.73753 | − | 5.46193i | 0.381664 | − | 0.269417i | ||||
\(412\) | 31.1873 | + | 61.2085i | 1.53649 | + | 3.01553i | ||||
\(413\) | 1.22975 | + | 2.41351i | 0.0605119 | + | 0.118761i | ||||
\(414\) | −14.1109 | + | 18.3477i | −0.693515 | + | 0.901739i | ||||
\(415\) | −4.93941 | − | 5.79678i | −0.242466 | − | 0.284553i | ||||
\(416\) | −12.8924 | − | 4.18901i | −0.632104 | − | 0.205383i | ||||
\(417\) | −0.392447 | + | 0.193264i | −0.0192182 | + | 0.00946416i | ||||
\(418\) | 35.4429 | + | 35.4429i | 1.73357 | + | 1.73357i | ||||
\(419\) | 6.44374 | + | 4.68165i | 0.314797 | + | 0.228714i | 0.733952 | − | 0.679201i | \(-0.237674\pi\) |
−0.419155 | + | 0.907915i | \(0.637674\pi\) | |||||||
\(420\) | −8.36618 | − | 14.1169i | −0.408228 | − | 0.688835i | ||||
\(421\) | −25.6069 | + | 18.6045i | −1.24801 | + | 0.906729i | −0.998104 | − | 0.0615422i | \(-0.980398\pi\) |
−0.249901 | + | 0.968271i | \(0.580398\pi\) | |||||||
\(422\) | 4.56338 | + | 0.722769i | 0.222142 | + | 0.0351838i | ||||
\(423\) | −2.86942 | + | 0.374539i | −0.139516 | + | 0.0182107i | ||||
\(424\) | − | 25.4492i | − | 1.23592i | ||||||
\(425\) | 2.86828 | + | 0.939254i | 0.139132 | + | 0.0455605i | ||||
\(426\) | 57.7068 | − | 17.8835i | 2.79590 | − | 0.866457i | ||||
\(427\) | 0.650104 | + | 0.331245i | 0.0314607 | + | 0.0160301i | ||||
\(428\) | −8.28582 | + | 52.3146i | −0.400510 | + | 2.52872i | ||||
\(429\) | −29.1773 | + | 39.0281i | −1.40869 | + | 1.88430i | ||||
\(430\) | 33.7414 | + | 28.8850i | 1.62715 | + | 1.39296i | ||||
\(431\) | −4.01269 | + | 5.52299i | −0.193284 | + | 0.266033i | −0.894649 | − | 0.446770i | \(-0.852574\pi\) |
0.701365 | + | 0.712802i | \(0.252574\pi\) | |||||||
\(432\) | −3.29878 | − | 28.2730i | −0.158713 | − | 1.36029i | ||||
\(433\) | −4.85819 | − | 30.6734i | −0.233470 | − | 1.47407i | −0.774237 | − | 0.632896i | \(-0.781866\pi\) |
0.540767 | − | 0.841172i | \(-0.318134\pi\) | |||||||
\(434\) | −4.30027 | + | 13.2349i | −0.206419 | + | 0.635294i | ||||
\(435\) | −9.33766 | − | 2.38839i | −0.447706 | − | 0.114514i | ||||
\(436\) | −19.0523 | − | 58.6369i | −0.912438 | − | 2.80820i | ||||
\(437\) | 10.6159 | − | 5.40906i | 0.507826 | − | 0.258750i | ||||
\(438\) | 6.46782 | + | 6.64675i | 0.309045 | + | 0.317594i | ||||
\(439\) | 35.2552 | − | 11.4551i | 1.68264 | − | 0.546723i | 0.697219 | − | 0.716858i | \(-0.254420\pi\) |
0.985421 | + | 0.170135i | \(0.0544204\pi\) | |||||||
\(440\) | 55.3925 | + | 34.0322i | 2.64073 | + | 1.62242i | ||||
\(441\) | −0.848865 | − | 2.87740i | −0.0404221 | − | 0.137019i | ||||
\(442\) | 8.04911 | − | 1.27485i | 0.382857 | − | 0.0606386i | ||||
\(443\) | −0.434876 | + | 0.434876i | −0.0206616 | + | 0.0206616i | −0.717362 | − | 0.696701i | \(-0.754651\pi\) |
0.696701 | + | 0.717362i | \(0.254651\pi\) | |||||||
\(444\) | −17.8711 | + | 52.5510i | −0.848123 | + | 2.49396i | ||||
\(445\) | −14.9933 | + | 17.5141i | −0.710752 | + | 0.830250i | ||||
\(446\) | 40.2887 | + | 55.4527i | 1.90773 | + | 2.62576i | ||||
\(447\) | −31.9597 | + | 4.61590i | −1.51164 | + | 0.218324i | ||||
\(448\) | 2.13086 | − | 4.18205i | 0.100674 | − | 0.197583i | ||||
\(449\) | 4.19824 | 0.198127 | 0.0990635 | − | 0.995081i | \(-0.468415\pi\) | ||||
0.0990635 | + | 0.995081i | \(0.468415\pi\) | |||||||
\(450\) | −29.6420 | − | 22.9058i | −1.39734 | − | 1.07979i | ||||
\(451\) | 11.9429 | 0.562371 | ||||||||
\(452\) | 28.3233 | − | 55.5877i | 1.33222 | − | 2.61463i | ||||
\(453\) | −4.55603 | + | 0.658021i | −0.214061 | + | 0.0309165i | ||||
\(454\) | −10.7082 | − | 14.7385i | −0.502560 | − | 0.691714i | ||||
\(455\) | −11.7573 | + | 2.80838i | −0.551189 | + | 0.131659i | ||||
\(456\) | −12.0148 | + | 35.3302i | −0.562644 | + | 1.65449i | ||||
\(457\) | 3.61279 | − | 3.61279i | 0.168999 | − | 0.168999i | −0.617540 | − | 0.786539i | \(-0.711871\pi\) |
0.786539 | + | 0.617540i | \(0.211871\pi\) | |||||||
\(458\) | −20.2079 | + | 3.20062i | −0.944253 | + | 0.149555i | ||||
\(459\) | 1.73825 | + | 2.61084i | 0.0811345 | + | 0.121863i | ||||
\(460\) | 22.2786 | − | 18.9835i | 1.03874 | − | 0.885110i | ||||
\(461\) | −14.3794 | + | 4.67214i | −0.669714 | + | 0.217603i | −0.624086 | − | 0.781355i | \(-0.714529\pi\) |
−0.0456274 | + | 0.998959i | \(0.514529\pi\) | |||||||
\(462\) | 15.6994 | + | 16.1337i | 0.730402 | + | 0.750609i | ||||
\(463\) | 1.58667 | − | 0.808448i | 0.0737387 | − | 0.0375717i | −0.416732 | − | 0.909029i | \(-0.636825\pi\) |
0.490471 | + | 0.871458i | \(0.336825\pi\) | |||||||
\(464\) | 4.21271 | + | 12.9654i | 0.195570 | + | 0.601903i | ||||
\(465\) | 1.37481 | + | 21.5372i | 0.0637554 | + | 0.998762i | ||||
\(466\) | 21.6195 | − | 66.5379i | 1.00150 | − | 3.08231i | ||||
\(467\) | −3.11096 | − | 19.6418i | −0.143958 | − | 0.908915i | −0.948904 | − | 0.315566i | \(-0.897806\pi\) |
0.804946 | − | 0.593349i | \(-0.202194\pi\) | |||||||
\(468\) | −67.5499 | − | 12.5969i | −3.12249 | − | 0.582292i | ||||
\(469\) | −6.69174 | + | 9.21039i | −0.308996 | + | 0.425296i | ||||
\(470\) | 5.36950 | + | 0.428797i | 0.247677 | + | 0.0197789i | ||||
\(471\) | −8.30164 | + | 11.1044i | −0.382519 | + | 0.511665i | ||||
\(472\) | 2.36729 | − | 14.9465i | 0.108963 | − | 0.687967i | ||||
\(473\) | −36.8816 | − | 18.7921i | −1.69582 | − | 0.864062i | ||||
\(474\) | −59.9628 | + | 18.5826i | −2.75418 | + | 0.853528i | ||||
\(475\) | 8.71470 | + | 17.2012i | 0.399858 | + | 0.789244i | ||||
\(476\) | − | 2.55757i | − | 0.117226i | ||||||
\(477\) | −1.76880 | − | 13.5512i | −0.0809879 | − | 0.620466i | ||||
\(478\) | 19.3096 | + | 3.05834i | 0.883200 | + | 0.139885i | ||||
\(479\) | −15.5631 | + | 11.3073i | −0.711098 | + | 0.516643i | −0.883528 | − | 0.468379i | \(-0.844838\pi\) |
0.172430 | + | 0.985022i | \(0.444838\pi\) | |||||||
\(480\) | −0.905114 | + | 9.66963i | −0.0413126 | + | 0.441356i | ||||
\(481\) | 33.0792 | + | 24.0334i | 1.50828 | + | 1.09583i | ||||
\(482\) | −0.994016 | − | 0.994016i | −0.0452762 | − | 0.0452762i | ||||
\(483\) | 4.80048 | − | 2.36404i | 0.218429 | − | 0.107567i | ||||
\(484\) | −64.8124 | − | 21.0588i | −2.94602 | − | 0.957219i | ||||
\(485\) | 8.75960 | − | 3.61656i | 0.397753 | − | 0.164220i | ||||
\(486\) | −9.47853 | − | 37.7590i | −0.429955 | − | 1.71278i | ||||
\(487\) | 1.08138 | + | 2.12233i | 0.0490020 | + | 0.0961718i | 0.914209 | − | 0.405243i | \(-0.132813\pi\) |
−0.865207 | + | 0.501415i | \(0.832813\pi\) | |||||||
\(488\) | −1.85054 | − | 3.63189i | −0.0837700 | − | 0.164408i | ||||
\(489\) | 9.15420 | − | 6.46196i | 0.413967 | − | 0.292220i | ||||
\(490\) | 0.431745 | + | 5.56763i | 0.0195043 | + | 0.251520i | ||||
\(491\) | −5.39602 | − | 1.75327i | −0.243519 | − | 0.0791241i | 0.184715 | − | 0.982792i | \(-0.440864\pi\) |
−0.428234 | + | 0.903668i | \(0.640864\pi\) | |||||||
\(492\) | 7.44030 | + | 15.1085i | 0.335435 | + | 0.681143i | ||||
\(493\) | −1.06221 | − | 1.06221i | −0.0478394 | − | 0.0478394i | ||||
\(494\) | 42.1226 | + | 30.6038i | 1.89518 | + | 1.37693i | ||||
\(495\) | 31.8607 | + | 14.2715i | 1.43203 | + | 0.641455i | ||||
\(496\) | 24.6950 | − | 17.9420i | 1.10884 | − | 0.805619i | ||||
\(497\) | −13.7947 | − | 2.18487i | −0.618777 | − | 0.0980046i | ||||
\(498\) | −2.50298 | + | 14.5184i | −0.112161 | + | 0.650584i | ||||
\(499\) | 42.8155i | 1.91668i | 0.285625 | + | 0.958342i | \(0.407799\pi\) | ||||
−0.285625 | + | 0.958342i | \(0.592201\pi\) | |||||||
\(500\) | 30.6406 | + | 36.1269i | 1.37029 | + | 1.61565i | ||||
\(501\) | 3.28831 | + | 10.6108i | 0.146911 | + | 0.474056i | ||||
\(502\) | 1.65488 | + | 0.843204i | 0.0738609 | + | 0.0376340i | ||||
\(503\) | 1.99155 | − | 12.5741i | 0.0887987 | − | 0.560653i | −0.902673 | − | 0.430328i | \(-0.858398\pi\) |
0.991471 | − | 0.130325i | \(-0.0416021\pi\) | |||||||
\(504\) | −5.61203 | + | 15.7924i | −0.249980 | + | 0.703448i | ||||
\(505\) | −25.9130 | + | 15.8386i | −1.15311 | + | 0.704808i | ||||
\(506\) | −23.6014 | + | 32.4845i | −1.04921 | + | 1.44411i | ||||
\(507\) | −13.0979 | + | 24.8616i | −0.581698 | + | 1.10414i | ||||
\(508\) | −12.5696 | − | 79.3614i | −0.557686 | − | 3.52109i | ||||
\(509\) | −7.09792 | + | 21.8452i | −0.314610 | + | 0.968270i | 0.661305 | + | 0.750117i | \(0.270003\pi\) |
−0.975915 | + | 0.218152i | \(0.929997\pi\) | |||||||
\(510\) | −2.15428 | − | 5.42656i | −0.0953931 | − | 0.240292i | ||||
\(511\) | −0.662543 | − | 2.03910i | −0.0293092 | − | 0.0902044i | ||||
\(512\) | −42.2969 | + | 21.5513i | −1.86927 | + | 0.952443i | ||||
\(513\) | −3.94206 | + | 19.6477i | −0.174046 | + | 0.867467i | ||||
\(514\) | 30.4397 | − | 9.89047i | 1.34264 | − | 0.436250i | ||||
\(515\) | −13.8354 | − | 33.5105i | −0.609661 | − | 1.47665i | ||||
\(516\) | 0.796309 | − | 58.3645i | 0.0350556 | − | 2.56935i | ||||
\(517\) | −4.95814 | + | 0.785292i | −0.218059 | + | 0.0345371i | ||||
\(518\) | 13.3567 | − | 13.3567i | 0.586860 | − | 0.586860i | ||||
\(519\) | 37.7426 | + | 12.8351i | 1.65671 | + | 0.563400i | ||||
\(520\) | 62.3610 | + | 25.9147i | 2.73471 | + | 1.13644i | ||||
\(521\) | −10.8377 | − | 14.9169i | −0.474810 | − | 0.653520i | 0.502687 | − | 0.864468i | \(-0.332345\pi\) |
−0.977497 | + | 0.210949i | \(0.932345\pi\) | |||||||
\(522\) | 8.00825 | + | 16.8375i | 0.350512 | + | 0.736959i | ||||
\(523\) | 13.3240 | − | 26.1498i | 0.582618 | − | 1.14345i | −0.392082 | − | 0.919930i | \(-0.628245\pi\) |
0.974699 | − | 0.223521i | \(-0.0717551\pi\) | |||||||
\(524\) | 80.6296 | 3.52232 | ||||||||
\(525\) | 3.80817 | + | 7.77803i | 0.166202 | + | 0.339461i | ||||
\(526\) | −14.6677 | −0.639544 | ||||||||
\(527\) | −1.52702 | + | 2.99694i | −0.0665179 | + | 0.130549i | ||||
\(528\) | −7.05852 | − | 48.8720i | −0.307183 | − | 2.12688i | ||||
\(529\) | −7.90899 | − | 10.8858i | −0.343869 | − | 0.473295i | ||||
\(530\) | −2.02504 | + | 25.3581i | −0.0879623 | + | 1.10148i | ||||
\(531\) | 0.221703 | − | 8.12323i | 0.00962111 | − | 0.352518i | ||||
\(532\) | 11.5542 | − | 11.5542i | 0.500940 | − | 0.500940i | ||||
\(533\) | 12.2531 | − | 1.94069i | 0.530739 | − | 0.0840608i | ||||
\(534\) | 44.5956 | + | 0.608451i | 1.92984 | + | 0.0263302i | ||||
\(535\) | 6.55677 | − | 27.1733i | 0.283474 | − | 1.17481i | ||||
\(536\) | 60.4890 | − | 19.6541i | 2.61273 | − | 0.848926i | ||||
\(537\) | 11.6476 | − | 11.3340i | 0.502630 | − | 0.489099i | ||||
\(538\) | −18.4286 | + | 9.38983i | −0.794512 | + | 0.404824i | ||||
\(539\) | −1.60820 | − | 4.94952i | −0.0692699 | − | 0.213191i | ||||
\(540\) | 1.79461 | + | 49.1966i | 0.0772276 | + | 2.11708i | ||||
\(541\) | 9.41129 | − | 28.9650i | 0.404623 | − | 1.24530i | −0.516586 | − | 0.856235i | \(-0.672797\pi\) |
0.921209 | − | 0.389067i | \(-0.127203\pi\) | |||||||
\(542\) | −7.01668 | − | 44.3016i | −0.301392 | − | 1.90292i | ||||
\(543\) | 30.8082 | + | 16.2307i | 1.32211 | + | 0.696528i | ||||
\(544\) | −0.889710 | + | 1.22458i | −0.0381460 | + | 0.0525034i | ||||
\(545\) | 7.55952 | + | 31.6478i | 0.323814 | + | 1.35564i | ||||
\(546\) | 18.7287 | + | 14.0015i | 0.801516 | + | 0.599211i | ||||
\(547\) | 1.09608 | − | 6.92039i | 0.0468651 | − | 0.295895i | −0.953112 | − | 0.302617i | \(-0.902140\pi\) |
0.999977 | + | 0.00672218i | \(0.00213975\pi\) | |||||||
\(548\) | 20.6433 | + | 10.5183i | 0.881836 | + | 0.449318i | ||||
\(549\) | −1.23780 | − | 1.80529i | −0.0528282 | − | 0.0770479i | ||||
\(550\) | −52.4861 | − | 38.3180i | −2.23802 | − | 1.63389i | ||||
\(551\) | − | 9.59739i | − | 0.408863i | ||||||
\(552\) | −29.4595 | − | 5.07884i | −1.25388 | − | 0.216170i | ||||
\(553\) | 14.3340 | + | 2.27028i | 0.609544 | + | 0.0965422i | ||||
\(554\) | −16.1002 | + | 11.6975i | −0.684031 | + | 0.496978i | ||||
\(555\) | 11.6093 | − | 26.8950i | 0.492786 | − | 1.14163i | ||||
\(556\) | −0.865736 | − | 0.628994i | −0.0367154 | − | 0.0266753i | ||||
\(557\) | −3.37975 | − | 3.37975i | −0.143205 | − | 0.143205i | 0.631870 | − | 0.775074i | \(-0.282288\pi\) |
−0.775074 | + | 0.631870i | \(0.782288\pi\) | |||||||
\(558\) | 30.3146 | − | 28.7038i | 1.28332 | − | 1.21513i | ||||
\(559\) | −40.8929 | − | 13.2869i | −1.72959 | − | 0.561977i | ||||
\(560\) | 6.41224 | − | 10.4369i | 0.270966 | − | 0.441039i | ||||
\(561\) | 3.13786 | + | 4.44518i | 0.132480 | + | 0.187676i | ||||
\(562\) | 14.8430 | + | 29.1310i | 0.626115 | + | 1.22882i | ||||
\(563\) | 5.65058 | + | 11.0899i | 0.238144 | + | 0.467383i | 0.978886 | − | 0.204406i | \(-0.0655262\pi\) |
−0.740743 | + | 0.671789i | \(0.765526\pi\) | |||||||
\(564\) | −4.08229 | − | 5.78309i | −0.171896 | − | 0.243512i | ||||
\(565\) | −17.2355 | + | 28.0534i | −0.725104 | + | 1.18022i | ||||
\(566\) | −53.9714 | − | 17.5364i | −2.26859 | − | 0.737109i | ||||
\(567\) | −1.89067 | + | 8.79917i | −0.0794007 | + | 0.369530i | ||||
\(568\) | 55.1731 | + | 55.1731i | 2.31501 | + | 2.31501i | ||||
\(569\) | −10.5444 | − | 7.66097i | −0.442045 | − | 0.321164i | 0.344402 | − | 0.938822i | \(-0.388082\pi\) |
−0.786447 | + | 0.617658i | \(0.788082\pi\) | |||||||
\(570\) | 14.7831 | − | 34.2477i | 0.619195 | − | 1.43448i | ||||
\(571\) | −23.9381 | + | 17.3920i | −1.00178 | + | 0.727834i | −0.962469 | − | 0.271393i | \(-0.912516\pi\) |
−0.0393091 | + | 0.999227i | \(0.512516\pi\) | |||||||
\(572\) | −117.734 | − | 18.6473i | −4.92272 | − | 0.779682i | ||||
\(573\) | 29.7996 | + | 5.13747i | 1.24490 | + | 0.214621i | ||||
\(574\) | − | 5.73115i | − | 0.239214i | ||||||
\(575\) | −12.5177 | + | 9.05079i | −0.522026 | + | 0.377444i | ||||
\(576\) | −11.6132 | + | 7.96266i | −0.483885 | + | 0.331778i | ||||
\(577\) | 10.4133 | + | 5.30582i | 0.433510 | + | 0.220884i | 0.657107 | − | 0.753797i | \(-0.271780\pi\) |
−0.223597 | + | 0.974682i | \(0.571780\pi\) | |||||||
\(578\) | −6.49919 | + | 41.0342i | −0.270330 | + | 1.70680i | ||||
\(579\) | 18.1433 | + | 13.5639i | 0.754010 | + | 0.563695i | ||||
\(580\) | −5.47768 | − | 22.9322i | −0.227448 | − | 0.952208i | ||||
\(581\) | 2.00193 | − | 2.75542i | 0.0830541 | − | 0.114314i | ||||
\(582\) | −16.2195 | − | 8.54492i | −0.672318 | − | 0.354199i | ||||
\(583\) | −3.70863 | − | 23.4154i | −0.153596 | − | 0.969765i | ||||
\(584\) | −3.70138 | + | 11.3917i | −0.153164 | + | 0.471391i | ||||
\(585\) | 35.0071 | + | 9.46478i | 1.44737 | + | 0.391321i | ||||
\(586\) | −8.88884 | − | 27.3570i | −0.367195 | − | 1.13011i | ||||
\(587\) | −39.7638 | + | 20.2607i | −1.64123 | + | 0.836248i | −0.643753 | + | 0.765233i | \(0.722624\pi\) |
−0.997475 | + | 0.0710145i | \(0.977376\pi\) | |||||||
\(588\) | 5.25953 | − | 5.11795i | 0.216899 | − | 0.211060i | ||||
\(589\) | −20.4377 | + | 6.64061i | −0.842121 | + | 0.273622i | ||||
\(590\) | −3.54813 | + | 14.7046i | −0.146074 | + | 0.605378i | ||||
\(591\) | −15.1630 | − | 0.206880i | −0.623724 | − | 0.00850992i | ||||
\(592\) | −40.9235 | + | 6.48165i | −1.68195 | + | 0.266394i | ||||
\(593\) | 21.5655 | − | 21.5655i | 0.885589 | − | 0.885589i | −0.108506 | − | 0.994096i | \(-0.534607\pi\) |
0.994096 | + | 0.108506i | \(0.0346068\pi\) | |||||||
\(594\) | −18.2238 | − | 65.0293i | −0.747730 | − | 2.66818i | ||||
\(595\) | −0.107447 | + | 1.34547i | −0.00440489 | + | 0.0551591i | ||||
\(596\) | −46.4302 | − | 63.9057i | −1.90186 | − | 2.61768i | ||||
\(597\) | −4.45457 | − | 30.8427i | −0.182314 | − | 1.26231i | ||||
\(598\) | −18.9356 | + | 37.1632i | −0.774334 | + | 1.51972i | ||||
\(599\) | 29.1224 | 1.18991 | 0.594954 | − | 0.803760i | \(-0.297170\pi\) | ||||
0.594954 | + | 0.803760i | \(0.297170\pi\) | |||||||
\(600\) | 8.32931 | − | 47.6592i | 0.340043 | − | 1.94568i | ||||
\(601\) | 15.4138 | 0.628744 | 0.314372 | − | 0.949300i | \(-0.398206\pi\) | ||||
0.314372 | + | 0.949300i | \(0.398206\pi\) | |||||||
\(602\) | −9.01791 | + | 17.6986i | −0.367543 | + | 0.721343i | ||||
\(603\) | 30.8431 | − | 14.6696i | 1.25603 | − | 0.597391i | ||||
\(604\) | −6.61888 | − | 9.11010i | −0.269318 | − | 0.370685i | ||||
\(605\) | 33.2115 | + | 13.8014i | 1.35024 | + | 0.561106i | ||||
\(606\) | 55.6219 | + | 18.9154i | 2.25949 | + | 0.768386i | ||||
\(607\) | 4.83378 | − | 4.83378i | 0.196197 | − | 0.196197i | −0.602171 | − | 0.798367i | \(-0.705697\pi\) |
0.798367 | + | 0.602171i | \(0.205697\pi\) | |||||||
\(608\) | −9.55165 | + | 1.51283i | −0.387371 | + | 0.0613535i | ||||
\(609\) | 0.0588040 | − | 4.30996i | 0.00238286 | − | 0.174649i | ||||
\(610\) | 1.55492 | + | 3.76614i | 0.0629568 | + | 0.152486i | ||||
\(611\) | −4.95927 | + | 1.61137i | −0.200631 | + | 0.0651889i | ||||
\(612\) | −3.66855 | + | 6.73886i | −0.148293 | + | 0.272402i | ||||
\(613\) | 23.9330 | − | 12.1945i | 0.966644 | − | 0.492530i | 0.101929 | − | 0.994792i | \(-0.467499\pi\) |
0.864716 | + | 0.502262i | \(0.167499\pi\) | |||||||
\(614\) | 10.5275 | + | 32.4004i | 0.424856 | + | 1.30757i | ||||
\(615\) | −3.27943 | − | 8.26078i | −0.132239 | − | 0.333107i | ||||
\(616\) | −8.98439 | + | 27.6511i | −0.361992 | + | 1.11410i | ||||
\(617\) | −5.51702 | − | 34.8331i | −0.222107 | − | 1.40233i | −0.806681 | − | 0.590988i | \(-0.798738\pi\) |
0.584574 | − | 0.811341i | \(-0.301262\pi\) | |||||||
\(618\) | −32.6892 | + | 62.0487i | −1.31495 | + | 2.49596i | ||||
\(619\) | −7.55856 | + | 10.4035i | −0.303804 | + | 0.418151i | −0.933437 | − | 0.358743i | \(-0.883206\pi\) |
0.629632 | + | 0.776893i | \(0.283206\pi\) | |||||||
\(620\) | −45.0442 | + | 27.5320i | −1.80902 | + | 1.10571i | ||||
\(621\) | −16.0396 | − | 0.656845i | −0.643646 | − | 0.0263583i | ||||
\(622\) | −10.6413 | + | 67.1867i | −0.426678 | + | 2.69394i | ||||
\(623\) | −9.18683 | − | 4.68092i | −0.368063 | − | 0.187537i | ||||
\(624\) | −15.1834 | − | 48.9941i | −0.607821 | − | 1.96133i | ||||
\(625\) | −14.6015 | − | 20.2928i | −0.584061 | − | 0.811710i | ||||
\(626\) | − | 41.7171i | − | 1.66735i | ||||||
\(627\) | −5.90604 | + | 34.2576i | −0.235864 | + | 1.36812i | ||||
\(628\) | −33.4982 | − | 5.30559i | −1.33672 | − | 0.211716i | ||||
\(629\) | 3.69365 | − | 2.68359i | 0.147275 | − | 0.107002i | ||||
\(630\) | 6.84857 | − | 15.2893i | 0.272853 | − | 0.609139i | ||||
\(631\) | −16.8852 | − | 12.2678i | −0.672188 | − | 0.488373i | 0.198569 | − | 0.980087i | \(-0.436371\pi\) |
−0.870757 | + | 0.491714i | \(0.836371\pi\) | |||||||
\(632\) | −57.3300 | − | 57.3300i | −2.28047 | − | 2.28047i | ||||
\(633\) | 1.41566 | + | 2.87468i | 0.0562674 | + | 0.114258i | ||||
\(634\) | −67.1465 | − | 21.8172i | −2.66673 | − | 0.866473i | ||||
\(635\) | 3.27849 | + | 42.2782i | 0.130103 | + | 1.67776i | ||||
\(636\) | 27.3113 | − | 19.2791i | 1.08296 | − | 0.764466i | ||||
\(637\) | −2.45424 | − | 4.81671i | −0.0972404 | − | 0.190845i | ||||
\(638\) | 14.6840 | + | 28.8190i | 0.581345 | + | 1.14095i | ||||
\(639\) | 33.2133 | + | 25.5438i | 1.31390 | + | 1.01050i | ||||
\(640\) | 34.5928 | − | 14.2823i | 1.36740 | − | 0.564556i | ||||
\(641\) | 4.58862 | + | 1.49093i | 0.181240 | + | 0.0588883i | 0.398231 | − | 0.917285i | \(-0.369624\pi\) |
−0.216991 | + | 0.976174i | \(0.569624\pi\) | |||||||
\(642\) | −48.5114 | + | 23.8898i | −1.91459 | + | 0.942856i | ||||
\(643\) | 10.2315 | + | 10.2315i | 0.403493 | + | 0.403493i | 0.879462 | − | 0.475969i | \(-0.157903\pi\) |
−0.475969 | + | 0.879462i | \(0.657903\pi\) | |||||||
\(644\) | 10.5898 | + | 7.69397i | 0.417298 | + | 0.303185i | ||||
\(645\) | −2.87089 | + | 30.6707i | −0.113041 | + | 1.20766i | ||||
\(646\) | 4.70344 | − | 3.41725i | 0.185054 | − | 0.134450i | ||||
\(647\) | 31.4760 | + | 4.98531i | 1.23745 | + | 0.195993i | 0.740662 | − | 0.671878i | \(-0.234512\pi\) |
0.496789 | + | 0.867871i | \(0.334512\pi\) | |||||||
\(648\) | 37.4394 | − | 33.5609i | 1.47076 | − | 1.31840i | ||||
\(649\) | − | 14.0970i | − | 0.553355i | ||||||
\(650\) | −60.0756 | − | 30.7841i | −2.35636 | − | 1.20745i | ||||
\(651\) | −9.21878 | + | 2.85692i | −0.361313 | + | 0.111972i | ||||
\(652\) | 24.4228 | + | 12.4441i | 0.956472 | + | 0.487347i | ||||
\(653\) | 1.37569 | − | 8.68577i | 0.0538349 | − | 0.339900i | −0.946039 | − | 0.324051i | \(-0.894955\pi\) |
0.999874 | − | 0.0158489i | \(-0.00504508\pi\) | |||||||
\(654\) | 37.6889 | − | 50.4134i | 1.47375 | − | 1.97132i | ||||
\(655\) | −42.4172 | − | 3.38735i | −1.65738 | − | 0.132355i | ||||
\(656\) | −7.38923 | + | 10.1704i | −0.288501 | + | 0.397088i | ||||
\(657\) | −1.17915 | + | 6.32310i | −0.0460031 | + | 0.246688i | ||||
\(658\) | 0.376844 | + | 2.37930i | 0.0146909 | + | 0.0927547i | ||||
\(659\) | 7.10309 | − | 21.8611i | 0.276697 | − | 0.851586i | −0.712068 | − | 0.702110i | \(-0.752241\pi\) |
0.988765 | − | 0.149476i | \(-0.0477586\pi\) | |||||||
\(660\) | 5.44040 | + | 85.2267i | 0.211767 | + | 3.31745i | ||||
\(661\) | −8.33606 | − | 25.6557i | −0.324235 | − | 0.997893i | −0.971785 | − | 0.235870i | \(-0.924206\pi\) |
0.647550 | − | 0.762023i | \(-0.275794\pi\) | |||||||
\(662\) | −0.192103 | + | 0.0978812i | −0.00746628 | + | 0.00380426i | ||||
\(663\) | 3.94167 | + | 4.05071i | 0.153082 | + | 0.157317i | ||||
\(664\) | −18.0962 | + | 5.87980i | −0.702267 | + | 0.228180i | ||||
\(665\) | −6.56381 | + | 5.59299i | −0.254534 | + | 0.216887i | ||||
\(666\) | −54.3519 | + | 16.0344i | −2.10609 | + | 0.621321i | ||||
\(667\) | 7.59361 | − | 1.20271i | 0.294026 | − | 0.0465691i | ||||
\(668\) | −19.2151 | + | 19.2151i | −0.743454 | + | 0.743454i | ||||
\(669\) | −15.3054 | + | 45.0065i | −0.591741 | + | 1.74005i | ||||
\(670\) | −61.8363 | + | 14.7705i | −2.38894 | + | 0.570633i | ||||
\(671\) | −2.23191 | − | 3.07197i | −0.0861621 | − | 0.118592i | ||||
\(672\) | −4.29869 | + | 0.620854i | −0.165826 | + | 0.0239500i | ||||
\(673\) | 0.142176 | − | 0.279035i | 0.00548047 | − | 0.0107560i | −0.888250 | − | 0.459360i | \(-0.848079\pi\) |
0.893731 | + | 0.448604i | \(0.148079\pi\) | |||||||
\(674\) | 3.45781 | 0.133190 | ||||||||
\(675\) | 1.12271 | − | 25.9565i | 0.0432133 | − | 0.999066i | ||||
\(676\) | −68.7408 | −2.64388 | ||||||||
\(677\) | −10.2973 | + | 20.2095i | −0.395756 | + | 0.776714i | −0.999795 | − | 0.0202404i | \(-0.993557\pi\) |
0.604040 | + | 0.796954i | \(0.293557\pi\) | |||||||
\(678\) | 63.0385 | − | 9.10457i | 2.42098 | − | 0.349659i | ||||
\(679\) | 2.49113 | + | 3.42875i | 0.0956008 | + | 0.131583i | ||||
\(680\) | 4.90381 | − | 5.72828i | 0.188053 | − | 0.219670i | ||||
\(681\) | 4.06796 | − | 11.9621i | 0.155884 | − | 0.458388i | ||||
\(682\) | 51.2100 | − | 51.2100i | 1.96093 | − | 1.96093i | ||||
\(683\) | −16.5075 | + | 2.61453i | −0.631642 | + | 0.100042i | −0.464043 | − | 0.885813i | \(-0.653602\pi\) |
−0.167599 | + | 0.985855i | \(0.553602\pi\) | |||||||
\(684\) | −47.0172 | + | 13.8706i | −1.79775 | + | 0.530355i | ||||
\(685\) | −10.4180 | − | 6.40065i | −0.398052 | − | 0.244556i | ||||
\(686\) | −2.37516 | + | 0.771737i | −0.0906842 | + | 0.0294651i | ||||
\(687\) | −9.89585 | − | 10.1696i | −0.377550 | − | 0.387995i | ||||
\(688\) | 38.8221 | − | 19.7808i | 1.48008 | − | 0.754137i | ||||
\(689\) | −7.60986 | − | 23.4207i | −0.289912 | − | 0.892259i | ||||
\(690\) | 28.9499 | + | 7.40480i | 1.10210 | + | 0.281896i | ||||
\(691\) | −3.94201 | + | 12.1323i | −0.149961 | + | 0.461533i | −0.997616 | − | 0.0690158i | \(-0.978014\pi\) |
0.847654 | + | 0.530549i | \(0.178014\pi\) | |||||||
\(692\) | 15.2554 | + | 96.3187i | 0.579923 | + | 3.66149i | ||||
\(693\) | −2.86216 | + | 15.3481i | −0.108725 | + | 0.583026i | ||||
\(694\) | 2.92590 | − | 4.02716i | 0.111066 | − | 0.152869i | ||||
\(695\) | 0.429017 | + | 0.367269i | 0.0162736 | + | 0.0139313i | ||||
\(696\) | −14.4186 | + | 19.2865i | −0.546534 | + | 0.731054i | ||||
\(697\) | 0.216700 | − | 1.36819i | 0.00820808 | − | 0.0518238i | ||||
\(698\) | −3.27624 | − | 1.66933i | −0.124007 | − | 0.0631849i | ||||
\(699\) | 46.3472 | − | 14.3631i | 1.75301 | − | 0.543262i | ||||
\(700\) | −12.4915 | + | 17.1103i | −0.472135 | + | 0.646708i | ||||
\(701\) | 9.97697i | 0.376825i | 0.982090 | + | 0.188413i | \(0.0603342\pi\) | ||||
−0.982090 | + | 0.188413i | \(0.939666\pi\) | |||||||
\(702\) | −29.2640 | − | 63.7565i | −1.10450 | − | 2.40634i | ||||
\(703\) | 28.8103 | + | 4.56310i | 1.08660 | + | 0.172100i | ||||
\(704\) | −19.7616 | + | 14.3577i | −0.744795 | + | 0.541125i | ||||
\(705\) | 1.90464 | + | 3.21385i | 0.0717329 | + | 0.121040i | ||||
\(706\) | −26.9984 | − | 19.6155i | −1.01610 | − | 0.738239i | ||||
\(707\) | −9.60388 | − | 9.60388i | −0.361191 | − | 0.361191i | ||||
\(708\) | 17.8335 | − | 8.78223i | 0.670222 | − | 0.330056i | ||||
\(709\) | −24.7562 | − | 8.04377i | −0.929738 | − | 0.302090i | −0.195283 | − | 0.980747i | \(-0.562562\pi\) |
−0.734456 | + | 0.678657i | \(0.762562\pi\) | |||||||
\(710\) | −50.5853 | − | 59.3657i | −1.89843 | − | 2.22796i | ||||
\(711\) | −34.5117 | − | 26.5424i | −1.29429 | − | 0.995419i | ||||
\(712\) | 26.1506 | + | 51.3234i | 0.980034 | + | 1.92343i | ||||
\(713\) | −7.81534 | − | 15.3385i | −0.292687 | − | 0.574430i | ||||
\(714\) | 2.13314 | − | 1.50579i | 0.0798308 | − | 0.0563527i | ||||
\(715\) | 61.1537 | + | 14.7561i | 2.28702 | + | 0.551845i | ||||
\(716\) | 37.8101 | + | 12.2852i | 1.41303 | + | 0.459121i | ||||
\(717\) | 5.99025 | + | 12.1640i | 0.223710 | + | 0.454272i | ||||
\(718\) | 21.0004 | + | 21.0004i | 0.783727 | + | 0.783727i | ||||
\(719\) | −29.6595 | − | 21.5489i | −1.10611 | − | 0.803638i | −0.124066 | − | 0.992274i | \(-0.539593\pi\) |
−0.982047 | + | 0.188636i | \(0.939593\pi\) | |||||||
\(720\) | −31.8659 | + | 18.3021i | −1.18757 | + | 0.682080i | ||||
\(721\) | 13.1169 | − | 9.53000i | 0.488499 | − | 0.354916i | ||||
\(722\) | −10.1797 | − | 1.61231i | −0.378851 | − | 0.0600041i | ||||
\(723\) | 0.165638 | − | 0.960775i | 0.00616015 | − | 0.0357316i | ||||
\(724\) | 85.1828i | 3.16579i | ||||||||
\(725\) | 1.91826 | + | 12.2942i | 0.0712423 | + | 0.456595i | ||||
\(726\) | −20.5947 | − | 66.4553i | −0.764339 | − | 2.46639i | ||||
\(727\) | 2.74603 | + | 1.39917i | 0.101845 | + | 0.0518925i | 0.504171 | − | 0.863604i | \(-0.331798\pi\) |
−0.402326 | + | 0.915496i | \(0.631798\pi\) | |||||||
\(728\) | −4.72446 | + | 29.8291i | −0.175100 | + | 1.10554i | ||||
\(729\) | 17.6031 | − | 20.4727i | 0.651967 | − | 0.758247i | ||||
\(730\) | 4.59459 | − | 11.0564i | 0.170053 | − | 0.409214i | ||||
\(731\) | −2.82203 | + | 3.88419i | −0.104377 | + | 0.143662i | ||||
\(732\) | 2.49575 | − | 4.73729i | 0.0922457 | − | 0.175095i | ||||
\(733\) | −2.68361 | − | 16.9436i | −0.0991212 | − | 0.625827i | −0.986371 | − | 0.164537i | \(-0.947387\pi\) |
0.887250 | − | 0.461290i | \(-0.152613\pi\) | |||||||
\(734\) | 20.3716 | − | 62.6975i | 0.751931 | − | 2.31421i | ||||
\(735\) | −2.98192 | + | 2.47147i | −0.109990 | + | 0.0911614i | ||||
\(736\) | −2.39396 | − | 7.36784i | −0.0882424 | − | 0.271582i | ||||
\(737\) | 52.7908 | − | 26.8982i | 1.94457 | − | 0.990809i | ||||
\(738\) | −8.22071 | + | 15.1008i | −0.302609 | + | 0.555869i | ||||
\(739\) | −3.78159 | + | 1.22871i | −0.139108 | + | 0.0451989i | −0.377744 | − | 0.925910i | \(-0.623300\pi\) |
0.238635 | + | 0.971109i | \(0.423300\pi\) | |||||||
\(740\) | 71.4442 | − | 5.54019i | 2.62634 | − | 0.203661i | ||||
\(741\) | −0.492632 | + | 36.1069i | −0.0180973 | + | 1.32642i | ||||
\(742\) | −11.2365 | + | 1.77969i | −0.412505 | + | 0.0653344i | ||||
\(743\) | −11.5409 | + | 11.5409i | −0.423393 | + | 0.423393i | −0.886370 | − | 0.462977i | \(-0.846781\pi\) |
0.462977 | + | 0.886370i | \(0.346781\pi\) | |||||||
\(744\) | 51.0473 | + | 17.3597i | 1.87148 | + | 0.636437i | ||||
\(745\) | 21.7410 | + | 35.5698i | 0.796530 | + | 1.30318i | ||||
\(746\) | −6.03001 | − | 8.29960i | −0.220774 | − | 0.303870i | ||||
\(747\) | −9.22717 | + | 4.38862i | −0.337605 | + | 0.160571i | ||||
\(748\) | −6.04270 | + | 11.8595i | −0.220943 | + | 0.433625i | ||||
\(749\) | 12.5011 | 0.456779 | ||||||||
\(750\) | −12.0918 | + | 46.8258i | −0.441531 | + | 1.70984i | ||||
\(751\) | 42.0989 | 1.53621 | 0.768106 | − | 0.640323i | \(-0.221200\pi\) | ||||
0.768106 | + | 0.640323i | \(0.221200\pi\) | |||||||
\(752\) | 2.39891 | − | 4.70813i | 0.0874794 | − | 0.171688i | ||||
\(753\) | 0.184132 | + | 1.27490i | 0.00671014 | + | 0.0464599i | ||||
\(754\) | 19.7483 | + | 27.1812i | 0.719190 | + | 0.989880i | ||||
\(755\) | 3.09930 | + | 5.07067i | 0.112795 | + | 0.184540i | ||||
\(756\) | −21.1993 | + | 5.94088i | −0.771011 | + | 0.216068i | ||||
\(757\) | −16.3801 | + | 16.3801i | −0.595345 | + | 0.595345i | −0.939070 | − | 0.343725i | \(-0.888311\pi\) |
0.343725 | + | 0.939070i | \(0.388311\pi\) | |||||||
\(758\) | 12.5570 | − | 1.98883i | 0.456091 | − | 0.0722377i | ||||
\(759\) | −27.8453 | − | 0.379914i | −1.01072 | − | 0.0137900i | ||||
\(760\) | 48.0322 | − | 3.72469i | 1.74231 | − | 0.135109i | ||||
\(761\) | 18.1357 | − | 5.89265i | 0.657420 | − | 0.213609i | 0.0387367 | − | 0.999249i | \(-0.487667\pi\) |
0.618683 | + | 0.785641i | \(0.287667\pi\) | |||||||
\(762\) | 58.7910 | − | 57.2083i | 2.12977 | − | 2.07244i | ||||
\(763\) | −12.9655 | + | 6.60624i | −0.469382 | + | 0.239162i | ||||
\(764\) | 22.8586 | + | 70.3514i | 0.826994 | + | 2.54522i | ||||
\(765\) | 2.21304 | − | 3.39103i | 0.0800128 | − | 0.122603i | ||||
\(766\) | −16.3549 | + | 50.3353i | −0.590928 | + | 1.81869i | ||||
\(767\) | −2.29072 | − | 14.4630i | −0.0827130 | − | 0.522229i | ||||
\(768\) | −49.6677 | − | 26.1665i | −1.79223 | − | 0.944203i | ||||
\(769\) | −4.54034 | + | 6.24925i | −0.163729 | + | 0.225354i | −0.882996 | − | 0.469380i | \(-0.844478\pi\) |
0.719267 | + | 0.694733i | \(0.244478\pi\) | |||||||
\(770\) | 11.1525 | − | 26.8372i | 0.401907 | − | 0.967146i | ||||
\(771\) | 17.7787 | + | 13.2913i | 0.640282 | + | 0.478673i | ||||
\(772\) | −8.66870 | + | 54.7320i | −0.311993 | + | 1.96985i | ||||
\(773\) | −5.67394 | − | 2.89102i | −0.204078 | − | 0.103983i | 0.348965 | − | 0.937136i | \(-0.386533\pi\) |
−0.553042 | + | 0.833153i | \(0.686533\pi\) | |||||||
\(774\) | 49.1478 | − | 33.6984i | 1.76658 | − | 1.21126i | ||||
\(775\) | 24.8533 | − | 12.5915i | 0.892757 | − | 0.452301i | ||||
\(776\) | − | 23.6770i | − | 0.849956i | ||||||
\(777\) | 12.9100 | + | 2.22570i | 0.463145 | + | 0.0798466i | ||||
\(778\) | 35.4153 | + | 5.60923i | 1.26970 | + | 0.201101i | ||||
\(779\) | 7.15999 | − | 5.20204i | 0.256533 | − | 0.186382i | ||||
\(780\) | 19.4308 | + | 86.5557i | 0.695733 | + | 3.09919i | ||||
\(781\) | 58.8040 | + | 42.7236i | 2.10417 | + | 1.52877i | ||||
\(782\) | 3.29320 | + | 3.29320i | 0.117765 | + | 0.117765i | ||||
\(783\) | −6.33711 | + | 11.2718i | −0.226470 | + | 0.402822i | ||||
\(784\) | 5.20994 | + | 1.69281i | 0.186069 | + | 0.0604575i | ||||
\(785\) | 17.3997 | + | 4.19845i | 0.621021 | + | 0.149849i | ||||
\(786\) | 47.4712 | + | 67.2491i | 1.69324 | + | 2.39870i | ||||
\(787\) | 9.26172 | + | 18.1772i | 0.330145 | + | 0.647946i | 0.995093 | − | 0.0989438i | \(-0.0315464\pi\) |
−0.664948 | + | 0.746889i | \(0.731546\pi\) | |||||||
\(788\) | −16.8411 | − | 33.0525i | −0.599938 | − | 1.17744i | ||||
\(789\) | −5.86654 | − | 8.31071i | −0.208854 | − | 0.295869i | ||||
\(790\) | 52.5629 | + | 61.6866i | 1.87010 | + | 2.19471i | ||||
\(791\) | −14.0039 | − | 4.55013i | −0.497920 | − | 0.161784i | ||||
\(792\) | 63.3352 | − | 59.9699i | 2.25052 | − | 2.13094i | ||||
\(793\) | −2.78905 | − | 2.78905i | −0.0990422 | − | 0.0990422i | ||||
\(794\) | 16.5090 | + | 11.9945i | 0.585882 | + | 0.425668i | ||||
\(795\) | −15.1777 | + | 8.99487i | −0.538299 | + | 0.319015i | ||||
\(796\) | 61.6722 | − | 44.8075i | 2.18591 | − | 1.58816i | ||||
\(797\) | −25.4031 | − | 4.02346i | −0.899825 | − | 0.142518i | −0.310650 | − | 0.950524i | \(-0.600547\pi\) |
−0.589174 | + | 0.808006i | \(0.700547\pi\) | |||||||
\(798\) | 16.4395 | + | 2.83418i | 0.581951 | + | 0.100329i | ||||
\(799\) | 0.582254i | 0.0205987i | ||||||||
\(800\) | 11.9332 | − | 3.84705i | 0.421903 | − | 0.136014i | ||||
\(801\) | 17.4918 | + | 25.5111i | 0.618042 | + | 0.901391i | ||||
\(802\) | 11.5897 | + | 5.90527i | 0.409248 | + | 0.208522i | ||||
\(803\) | −1.74550 | + | 11.0207i | −0.0615975 | + | 0.388911i | ||||
\(804\) | 66.9157 | + | 50.0260i | 2.35994 | + | 1.76428i | ||||
\(805\) | −5.24782 | − | 4.49250i | −0.184961 | − | 0.158340i | ||||
\(806\) | 44.2183 | − | 60.8612i | 1.55752 | − | 2.14375i | ||||
\(807\) | −12.6910 | − | 6.68601i | −0.446743 | − | 0.235359i | ||||
\(808\) | 11.8698 | + | 74.9431i | 0.417579 | + | 2.63649i | ||||
\(809\) | −1.02823 | + | 3.16456i | −0.0361506 | + | 0.111260i | −0.967503 | − | 0.252858i | \(-0.918630\pi\) |
0.931353 | + | 0.364118i | \(0.118630\pi\) | |||||||
\(810\) | −39.9758 | + | 30.4616i | −1.40461 | + | 1.07031i | ||||
\(811\) | −0.754929 | − | 2.32343i | −0.0265091 | − | 0.0815867i | 0.936927 | − | 0.349526i | \(-0.113657\pi\) |
−0.963436 | + | 0.267939i | \(0.913657\pi\) | |||||||
\(812\) | 9.39487 | − | 4.78693i | 0.329695 | − | 0.167988i | ||||
\(813\) | 22.2947 | − | 21.6946i | 0.781911 | − | 0.760862i | ||||
\(814\) | −93.4927 | + | 30.3776i | −3.27692 | + | 1.06473i | ||||
\(815\) | −12.3255 | − | 7.57255i | −0.431742 | − | 0.265255i | ||||
\(816\) | −5.72687 | − | 0.0781358i | −0.200480 | − | 0.00273530i | ||||
\(817\) | −30.2964 | + | 4.79849i | −1.05994 | + | 0.167878i | ||||
\(818\) | 21.4507 | − | 21.4507i | 0.750008 | − | 0.750008i | ||||
\(819\) | −0.442459 | + | 16.2117i | −0.0154608 | + | 0.566484i | ||||
\(820\) | 14.1392 | − | 16.5164i | 0.493762 | − | 0.576777i | ||||
\(821\) | 17.3251 | + | 23.8459i | 0.604650 | + | 0.832229i | 0.996124 | − | 0.0879599i | \(-0.0280347\pi\) |
−0.391474 | + | 0.920189i | \(0.628035\pi\) | |||||||
\(822\) | 3.38111 | + | 23.4102i | 0.117930 | + | 0.816525i | ||||
\(823\) | −15.7327 | + | 30.8772i | −0.548408 | + | 1.07631i | 0.435923 | + | 0.899984i | \(0.356422\pi\) |
−0.984331 | + | 0.176328i | \(0.943578\pi\) | |||||||
\(824\) | −90.5782 | −3.15544 | ||||||||
\(825\) | 0.718429 | − | 45.0643i | 0.0250125 | − | 1.56894i | ||||
\(826\) | −6.76482 | −0.235378 | ||||||||
\(827\) | −9.88452 | + | 19.3995i | −0.343718 | + | 0.674585i | −0.996557 | − | 0.0829118i | \(-0.973578\pi\) |
0.652839 | + | 0.757497i | \(0.273578\pi\) | |||||||
\(828\) | −16.8667 | − | 35.4625i | −0.586157 | − | 1.23241i | ||||
\(829\) | −20.6339 | − | 28.4002i | −0.716646 | − | 0.986378i | −0.999629 | − | 0.0272533i | \(-0.991324\pi\) |
0.282983 | − | 0.959125i | \(-0.408676\pi\) | |||||||
\(830\) | 18.4992 | − | 4.41880i | 0.642118 | − | 0.153379i | ||||
\(831\) | −13.0672 | − | 4.44378i | −0.453296 | − | 0.154153i | ||||
\(832\) | −17.9417 | + | 17.9417i | −0.622016 | + | 0.622016i | ||||
\(833\) | −0.596198 | + | 0.0944286i | −0.0206571 | + | 0.00327176i | ||||
\(834\) | 0.0149043 | − | 1.09239i | 0.000516094 | − | 0.0378264i | ||||
\(835\) | 10.9158 | − | 9.30133i | 0.377758 | − | 0.321886i | ||||
\(836\) | −80.8760 | + | 26.2782i | −2.79715 | + | 0.908850i | ||||
\(837\) | 28.3882 | + | 5.69573i | 0.981240 | + | 0.196873i | ||||
\(838\) | −17.7235 | + | 9.03055i | −0.612247 | + | 0.311955i | ||||
\(839\) | −2.11708 | − | 6.51570i | −0.0730897 | − | 0.224947i | 0.907838 | − | 0.419322i | \(-0.137732\pi\) |
−0.980927 | + | 0.194375i | \(0.937732\pi\) | |||||||
\(840\) | 21.5930 | − | 1.37837i | 0.745028 | − | 0.0475584i | ||||
\(841\) | −7.04773 | + | 21.6907i | −0.243025 | + | 0.747954i | ||||
\(842\) | −12.3657 | − | 78.0741i | −0.426151 | − | 2.69061i | ||||
\(843\) | −10.5689 | + | 20.0613i | −0.364013 | + | 0.690948i | ||||
\(844\) | −4.60739 | + | 6.34153i | −0.158593 | + | 0.218284i | ||||
\(845\) | 36.1628 | + | 2.88789i | 1.24404 | + | 0.0993465i | ||||
\(846\) | 2.41991 | − | 6.80968i | 0.0831983 | − | 0.234122i | ||||
\(847\) | −2.51610 | + | 15.8860i | −0.0864541 | + | 0.545850i | ||||
\(848\) | 22.2347 | + | 11.3291i | 0.763542 | + | 0.389044i | ||||
\(849\) | −11.6504 | − | 37.5939i | −0.399842 | − | 1.29022i | ||||
\(850\) | −5.34206 | + | 5.31756i | −0.183231 | + | 0.182391i | ||||
\(851\) | 23.3670i | 0.801009i | ||||||||
\(852\) | −17.4136 | + | 101.007i | −0.596580 | + | 3.46043i | ||||
\(853\) | 18.3425 | + | 2.90516i | 0.628034 | + | 0.0994708i | 0.462335 | − | 0.886705i | \(-0.347012\pi\) |
0.165699 | + | 0.986176i | \(0.447012\pi\) | |||||||
\(854\) | −1.47417 | + | 1.07105i | −0.0504450 | + | 0.0366504i | ||||
\(855\) | 25.3173 | − | 5.32172i | 0.865834 | − | 0.181999i | ||||
\(856\) | −56.5007 | − | 41.0502i | −1.93115 | − | 1.40307i | ||||
\(857\) | 23.7316 | + | 23.7316i | 0.810655 | + | 0.810655i | 0.984732 | − | 0.174077i | \(-0.0556941\pi\) |
−0.174077 | + | 0.984732i | \(0.555694\pi\) | |||||||
\(858\) | −53.7642 | − | 109.175i | −1.83548 | − | 3.72718i | ||||
\(859\) | −16.7724 | − | 5.44968i | −0.572267 | − | 0.185941i | 0.00856661 | − | 0.999963i | \(-0.497273\pi\) |
−0.580833 | + | 0.814023i | \(0.697273\pi\) | |||||||
\(860\) | −69.6522 | + | 28.7572i | −2.37512 | + | 0.980612i | ||||
\(861\) | 3.24725 | − | 2.29224i | 0.110666 | − | 0.0781194i | ||||
\(862\) | −7.74017 | − | 15.1909i | −0.263631 | − | 0.517405i | ||||
\(863\) | −20.5269 | − | 40.2864i | −0.698745 | − | 1.37136i | −0.918347 | − | 0.395775i | \(-0.870476\pi\) |
0.219602 | − | 0.975589i | \(-0.429524\pi\) | |||||||
\(864\) | 12.2170 | + | 4.53014i | 0.415632 | + | 0.154118i | ||||
\(865\) | −3.97901 | − | 51.3118i | −0.135290 | − | 1.74465i | ||||
\(866\) | 73.7625 | + | 23.9669i | 2.50655 | + | 0.814428i | ||||
\(867\) | −25.8493 | + | 12.7297i | −0.877889 | + | 0.432324i | ||||
\(868\) | −16.6943 | − | 16.6943i | −0.566641 | − | 0.566641i | ||||
\(869\) | −61.1029 | − | 44.3938i | −2.07277 | − | 1.50596i | ||||
\(870\) | 15.9016 | − | 18.0702i | 0.539115 | − | 0.612636i | ||||
\(871\) | 49.7906 | − | 36.1750i | 1.68709 | − | 1.22574i | ||||
\(872\) | 80.2929 | + | 12.7172i | 2.71906 | + | 0.430657i | ||||
\(873\) | −1.64563 | − | 12.6075i | −0.0556963 | − | 0.426701i | ||||
\(874\) | 29.7551i | 1.00648i | ||||||||
\(875\) | 7.29031 | − | 8.47652i | 0.246458 | − | 0.286559i | ||||
\(876\) | −15.0292 | + | 4.65758i | −0.507790 | + | 0.157365i | ||||
\(877\) | 14.2072 | + | 7.23893i | 0.479743 | + | 0.244441i | 0.677101 | − | 0.735890i | \(-0.263236\pi\) |
−0.197358 | + | 0.980332i | \(0.563236\pi\) | |||||||
\(878\) | −14.4823 | + | 91.4375i | −0.488753 | + | 3.08587i | ||||
\(879\) | 11.9452 | − | 15.9782i | 0.402902 | − | 0.538930i | ||||
\(880\) | −54.3925 | + | 33.2459i | −1.83357 | + | 1.12072i | ||||
\(881\) | −9.98929 | + | 13.7491i | −0.336548 | + | 0.463218i | −0.943429 | − | 0.331574i | \(-0.892420\pi\) |
0.606881 | + | 0.794792i | \(0.292420\pi\) | |||||||
\(882\) | 7.36521 | + | 1.37349i | 0.248000 | + | 0.0462477i | ||||
\(883\) | 4.28979 | + | 27.0847i | 0.144363 | + | 0.911473i | 0.948442 | + | 0.316950i | \(0.102659\pi\) |
−0.804079 | + | 0.594522i | \(0.797341\pi\) | |||||||
\(884\) | −4.27248 | + | 13.1493i | −0.143699 | + | 0.442260i | ||||
\(885\) | −9.75070 | + | 3.87091i | −0.327766 | + | 0.130119i | ||||
\(886\) | −0.474625 | − | 1.46074i | −0.0159453 | − | 0.0490747i | ||||
\(887\) | −11.1207 | + | 5.66627i | −0.373396 | + | 0.190255i | −0.630610 | − | 0.776100i | \(-0.717195\pi\) |
0.257215 | + | 0.966354i | \(0.417195\pi\) | |||||||
\(888\) | −51.0406 | − | 52.4527i | −1.71281 | − | 1.76020i | ||||
\(889\) | −18.0360 | + | 5.86024i | −0.604907 | + | 0.196546i | ||||
\(890\) | −21.9730 | − | 53.2205i | −0.736538 | − | 1.78395i | ||||
\(891\) | 29.5566 | − | 36.3348i | 0.990183 | − | 1.21726i | ||||
\(892\) | −114.856 | + | 18.1914i | −3.84567 | + | 0.609094i | ||||
\(893\) | −2.63043 | + | 2.63043i | −0.0880240 | + | 0.0880240i | ||||
\(894\) | 25.9644 | − | 76.3501i | 0.868381 | − | 2.55353i | ||||
\(895\) | −19.3748 | − | 8.05142i | −0.647629 | − | 0.269129i | ||||
\(896\) | 9.83779 | + | 13.5406i | 0.328657 | + | 0.452358i | ||||
\(897\) | −28.6301 | + | 4.13500i | −0.955930 | + | 0.138064i | ||||
\(898\) | −4.75994 | + | 9.34190i | −0.158841 | + | 0.311743i | ||||
\(899\) | −13.8669 | −0.462487 | ||||||||
\(900\) | 57.4564 | − | 27.1656i | 1.91521 | − | 0.905520i | ||||
\(901\) | −2.74976 | −0.0916078 | ||||||||
\(902\) | −13.5408 | + | 26.5754i | −0.450860 | + | 0.884863i | ||||
\(903\) | −13.6348 | + | 1.96926i | −0.453738 | + | 0.0655328i | ||||
\(904\) | 48.3515 | + | 66.5501i | 1.60815 | + | 2.21342i | ||||
\(905\) | 3.57864 | − | 44.8126i | 0.118958 | − | 1.48962i | ||||
\(906\) | 3.70137 | − | 10.8841i | 0.122970 | − | 0.361601i | ||||
\(907\) | 13.9533 | − | 13.9533i | 0.463312 | − | 0.463312i | −0.436428 | − | 0.899739i | \(-0.643756\pi\) |
0.899739 | + | 0.436428i | \(0.143756\pi\) | |||||||
\(908\) | 30.5271 | − | 4.83503i | 1.01308 | − | 0.160456i | ||||
\(909\) | 11.5292 | + | 39.0807i | 0.382400 | + | 1.29622i | ||||
\(910\) | 7.08110 | − | 29.3463i | 0.234736 | − | 0.972821i | ||||
\(911\) | −38.8987 | + | 12.6390i | −1.28877 | + | 0.418747i | −0.871661 | − | 0.490109i | \(-0.836957\pi\) |
−0.417110 | + | 0.908856i | \(0.636957\pi\) | |||||||
\(912\) | −25.5191 | − | 26.2251i | −0.845021 | − | 0.868399i | ||||
\(913\) | −15.7931 | + | 8.04700i | −0.522676 | + | 0.266317i | ||||
\(914\) | 3.94300 | + | 12.1353i | 0.130423 | + | 0.401401i | ||||
\(915\) | −1.51198 | + | 2.38732i | −0.0499844 | + | 0.0789224i | ||||
\(916\) | 10.7264 | − | 33.0124i | 0.354409 | − | 1.09076i | ||||
\(917\) | −2.97694 | − | 18.7957i | −0.0983072 | − | 0.620687i | ||||
\(918\) | −7.78043 | + | 0.907791i | −0.256793 | + | 0.0299616i | ||||
\(919\) | −25.4767 | + | 35.0657i | −0.840400 | + | 1.15671i | 0.145497 | + | 0.989359i | \(0.453522\pi\) |
−0.985897 | + | 0.167353i | \(0.946478\pi\) | |||||||
\(920\) | 8.96625 | + | 37.5371i | 0.295609 | + | 1.23756i | ||||
\(921\) | −14.1474 | + | 18.9238i | −0.466171 | + | 0.623560i | ||||
\(922\) | 5.90681 | − | 37.2941i | 0.194530 | − | 1.22822i | ||||
\(923\) | 67.2734 | + | 34.2775i | 2.21433 | + | 1.12826i | ||||
\(924\) | −36.4805 | + | 11.3054i | −1.20012 | + | 0.371920i | ||||
\(925\) | −37.8178 | − | 0.0869092i | −1.24344 | − | 0.00285756i | ||||
\(926\) | 4.44726i | 0.146146i | ||||||||
\(927\) | −48.2311 | + | 6.29549i | −1.58412 | + | 0.206771i | ||||
\(928\) | −6.16357 | − | 0.976213i | −0.202329 | − | 0.0320458i | ||||
\(929\) | −31.1785 | + | 22.6525i | −1.02293 | + | 0.743204i | −0.966882 | − | 0.255224i | \(-0.917851\pi\) |
−0.0560504 | + | 0.998428i | \(0.517851\pi\) | |||||||
\(930\) | −49.4831 | − | 21.3595i | −1.62262 | − | 0.700405i | ||||
\(931\) | −3.12002 | − | 2.26683i | −0.102255 | − | 0.0742923i | ||||
\(932\) | 83.9300 | + | 83.9300i | 2.74922 | + | 2.74922i | ||||
\(933\) | −42.3239 | + | 20.8428i | −1.38562 | + | 0.682361i | ||||
\(934\) | 47.2341 | + | 15.3473i | 1.54555 | + | 0.502178i | ||||
\(935\) | 3.67715 | − | 5.98511i | 0.120256 | − | 0.195734i | ||||
\(936\) | 55.2348 | − | 71.8189i | 1.80541 | − | 2.34747i | ||||
\(937\) | −1.14699 | − | 2.25110i | −0.0374707 | − | 0.0735404i | 0.871512 | − | 0.490374i | \(-0.163140\pi\) |
−0.908983 | + | 0.416834i | \(0.863140\pi\) | |||||||
\(938\) | −12.9079 | − | 25.3331i | −0.421457 | − | 0.827155i | ||||
\(939\) | 23.6368 | − | 16.6853i | 0.771358 | − | 0.544503i | ||||
\(940\) | −4.78390 | + | 7.78651i | −0.156034 | + | 0.253968i | ||||
\(941\) | 46.7949 | + | 15.2046i | 1.52547 | + | 0.495655i | 0.947323 | − | 0.320279i | \(-0.103777\pi\) |
0.578145 | + | 0.815934i | \(0.303777\pi\) | |||||||
\(942\) | −15.2972 | − | 31.0629i | −0.498409 | − | 1.01208i | ||||
\(943\) | 5.01320 | + | 5.01320i | 0.163252 | + | 0.163252i | ||||
\(944\) | 12.0047 | + | 8.72196i | 0.390721 | + | 0.283875i | ||||
\(945\) | 11.4020 | − | 2.23474i | 0.370908 | − | 0.0726961i | ||||
\(946\) | 83.6322 | − | 60.7623i | 2.71912 | − | 1.97555i | ||||
\(947\) | −28.2670 | − | 4.47705i | −0.918554 | − | 0.145485i | −0.320784 | − | 0.947152i | \(-0.603946\pi\) |
−0.597770 | + | 0.801668i | \(0.703946\pi\) | |||||||
\(948\) | 18.0944 | − | 104.955i | 0.587678 | − | 3.40879i | ||||
\(949\) | 11.5905i | 0.376243i | ||||||||
\(950\) | −48.1566 | − | 0.110669i | −1.56241 | − | 0.00359057i | ||||
\(951\) | −14.4945 | − | 46.7711i | −0.470015 | − | 1.51666i | ||||
\(952\) | 3.00470 | + | 1.53097i | 0.0973830 | + | 0.0496191i | ||||
\(953\) | 2.73238 | − | 17.2516i | 0.0885106 | − | 0.558834i | −0.903085 | − | 0.429461i | \(-0.858704\pi\) |
0.991596 | − | 0.129373i | \(-0.0412964\pi\) | |||||||
\(954\) | 32.1595 | + | 11.4283i | 1.04120 | + | 0.370005i | ||||
\(955\) | −9.06977 | − | 37.9705i | −0.293491 | − | 1.22870i | ||||
\(956\) | −19.4958 | + | 26.8337i | −0.630539 | + | 0.867863i | ||||
\(957\) | −10.4557 | + | 19.8464i | −0.337985 | + | 0.641543i | ||||
\(958\) | −7.51552 | − | 47.4511i | −0.242815 | − | 1.53308i | ||||
\(959\) | 1.68975 | − | 5.20052i | 0.0545649 | − | 0.167934i | ||||
\(960\) | 15.3574 | + | 9.72638i | 0.495658 | + | 0.313917i | ||||
\(961\) | 0.0152360 | + | 0.0468917i | 0.000491485 | + | 0.00151264i | ||||
\(962\) | −90.9840 | + | 46.3587i | −2.93344 | + | 1.49466i | ||||
\(963\) | −32.9386 | − | 17.9314i | −1.06143 | − | 0.577831i | ||||
\(964\) | 2.26821 | − | 0.736987i | 0.0730542 | − | 0.0237368i | ||||
\(965\) | 6.85975 | − | 28.4290i | 0.220823 | − | 0.915161i | ||||
\(966\) | −0.182312 | + | 13.3623i | −0.00586579 | + | 0.429926i | ||||
\(967\) | 56.1790 | − | 8.89787i | 1.80659 | − | 0.286136i | 0.840026 | − | 0.542547i | \(-0.182540\pi\) |
0.966568 | + | 0.256410i | \(0.0825398\pi\) | |||||||
\(968\) | 63.5374 | − | 63.5374i | 2.04217 | − | 2.04217i | ||||
\(969\) | 3.81740 | + | 1.29819i | 0.122633 | + | 0.0417038i | ||||
\(970\) | −1.88403 | + | 23.5923i | −0.0604926 | + | 0.757502i | ||||
\(971\) | −25.1747 | − | 34.6500i | −0.807895 | − | 1.11197i | −0.991645 | − | 0.128998i | \(-0.958824\pi\) |
0.183750 | − | 0.982973i | \(-0.441176\pi\) | |||||||
\(972\) | 64.3789 | + | 14.7547i | 2.06495 | + | 0.473256i | ||||
\(973\) | −0.114662 | + | 0.225036i | −0.00367588 | + | 0.00721432i | ||||
\(974\) | −5.94865 | −0.190607 | ||||||||
\(975\) | −6.58573 | − | 46.3511i | −0.210912 | − | 1.48442i | ||||
\(976\) | 3.99694 | 0.127939 | ||||||||
\(977\) | 12.3450 | − | 24.2284i | 0.394952 | − | 0.775136i | −0.604823 | − | 0.796360i | \(-0.706756\pi\) |
0.999775 | + | 0.0212237i | \(0.00675621\pi\) | |||||||
\(978\) | 4.00015 | + | 27.6964i | 0.127911 | + | 0.885634i | ||||
\(979\) | 31.5399 | + | 43.4109i | 1.00802 | + | 1.38742i | ||||
\(980\) | −8.74883 | − | 3.63567i | −0.279471 | − | 0.116137i | ||||
\(981\) | 43.6383 | + | 1.19100i | 1.39326 | + | 0.0380257i | ||||
\(982\) | 10.0193 | − | 10.0193i | 0.319730 | − | 0.319730i | ||||
\(983\) | −7.84505 | + | 1.24253i | −0.250218 | + | 0.0396307i | −0.280284 | − | 0.959917i | \(-0.590429\pi\) |
0.0300652 | + | 0.999548i | \(0.490429\pi\) | |||||||
\(984\) | −22.2037 | − | 0.302941i | −0.707827 | − | 0.00965740i | ||||
\(985\) | 7.47109 | + | 18.0956i | 0.238049 | + | 0.576574i | ||||
\(986\) | 3.56794 | − | 1.15929i | 0.113626 | − | 0.0369195i | ||||
\(987\) | −1.19738 | + | 1.16515i | −0.0381131 | + | 0.0370871i | ||||
\(988\) | −78.7059 | + | 40.1027i | −2.50397 | + | 1.27584i | ||||
\(989\) | −7.59328 | − | 23.3697i | −0.241452 | − | 0.743113i | ||||
\(990\) | −67.8803 | + | 54.7154i | −2.15738 | + | 1.73897i | ||||
\(991\) | 4.57317 | − | 14.0748i | 0.145272 | − | 0.447100i | −0.851774 | − | 0.523909i | \(-0.824473\pi\) |
0.997046 | + | 0.0768090i | \(0.0244732\pi\) | |||||||
\(992\) | 2.18583 | + | 13.8008i | 0.0694003 | + | 0.438176i | ||||
\(993\) | −0.132293 | − | 0.0696961i | −0.00419819 | − | 0.00221174i | ||||
\(994\) | 20.5021 | − | 28.2187i | 0.650287 | − | 0.895043i | ||||
\(995\) | −34.3267 | + | 20.9812i | −1.08823 | + | 0.665148i | ||||
\(996\) | −20.0188 | − | 14.9660i | −0.634320 | − | 0.474216i | ||||
\(997\) | 3.73090 | − | 23.5560i | 0.118159 | − | 0.746025i | −0.855464 | − | 0.517862i | \(-0.826728\pi\) |
0.973623 | − | 0.228163i | \(-0.0732718\pi\) | |||||||
\(998\) | −95.2728 | − | 48.5439i | −3.01581 | − | 1.53663i | ||||
\(999\) | −30.8237 | − | 24.3825i | −0.975220 | − | 0.771428i |
(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 | 525.2.bk.a.8.5 | ✓ | 480 | |
3.2 | odd | 2 | inner | 525.2.bk.a.8.56 | yes | 480 | |
25.22 | odd | 20 | inner | 525.2.bk.a.197.56 | yes | 480 | |
75.47 | even | 20 | inner | 525.2.bk.a.197.5 | yes | 480 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
525.2.bk.a.8.5 | ✓ | 480 | 1.1 | even | 1 | trivial | |
525.2.bk.a.8.56 | yes | 480 | 3.2 | odd | 2 | inner | |
525.2.bk.a.197.5 | yes | 480 | 75.47 | even | 20 | inner | |
525.2.bk.a.197.56 | yes | 480 | 25.22 | odd | 20 | inner |