Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [320,2,Mod(29,320)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(320, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([0, 11, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("320.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 320 = 2^{6} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 320.bf (of order \(16\), 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: | \(2.55521286468\) |
Analytic rank: | \(0\) |
Dimension: | \(368\) |
Relative dimension: | \(46\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 269.30 | ||
Character | \(\chi\) | \(=\) | 320.269 |
Dual form | 320.2.bf.a.69.30 |
$q$-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 \(\left(\mathbb{Z}/320\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(257\) | \(261\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{15}{16}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.564747 | + | 1.29656i | 0.399336 | + | 0.916805i | ||||
\(3\) | 1.51286 | + | 2.26416i | 0.873451 | + | 1.30721i | 0.950672 | + | 0.310197i | \(0.100395\pi\) |
−0.0772214 | + | 0.997014i | \(0.524605\pi\) | |||||||
\(4\) | −1.36212 | + | 1.46445i | −0.681061 | + | 0.732226i | ||||
\(5\) | 1.26947 | − | 1.84077i | 0.567726 | − | 0.823218i | ||||
\(6\) | −2.08123 | + | 3.24019i | −0.849657 | + | 1.32280i | ||||
\(7\) | 2.06566 | − | 0.855626i | 0.780748 | − | 0.323396i | 0.0435304 | − | 0.999052i | \(-0.486139\pi\) |
0.737217 | + | 0.675656i | \(0.236139\pi\) | |||||||
\(8\) | −2.66800 | − | 0.939025i | −0.943281 | − | 0.331996i | ||||
\(9\) | −1.68961 | + | 4.07907i | −0.563202 | + | 1.35969i | ||||
\(10\) | 3.10360 | + | 0.606376i | 0.981443 | + | 0.191753i | ||||
\(11\) | −3.55285 | + | 5.31721i | −1.07122 | + | 1.60320i | −0.314751 | + | 0.949174i | \(0.601921\pi\) |
−0.756473 | + | 0.654025i | \(0.773079\pi\) | |||||||
\(12\) | −5.37645 | − | 0.868545i | −1.55205 | − | 0.250727i | ||||
\(13\) | 0.617663 | − | 3.10520i | 0.171309 | − | 0.861228i | −0.795544 | − | 0.605895i | \(-0.792815\pi\) |
0.966853 | − | 0.255333i | \(-0.0821850\pi\) | |||||||
\(14\) | 2.27595 | + | 2.19504i | 0.608272 | + | 0.586649i | ||||
\(15\) | 6.08833 | + | 0.0894563i | 1.57200 | + | 0.0230975i | ||||
\(16\) | −0.289245 | − | 3.98953i | −0.0723111 | − | 0.997382i | ||||
\(17\) | 1.13278 | − | 1.13278i | 0.274740 | − | 0.274740i | −0.556265 | − | 0.831005i | \(-0.687766\pi\) |
0.831005 | + | 0.556265i | \(0.187766\pi\) | |||||||
\(18\) | −6.24295 | + | 0.112970i | −1.47148 | + | 0.0266272i | ||||
\(19\) | 0.557339 | − | 2.80193i | 0.127862 | − | 0.642807i | −0.862697 | − | 0.505721i | \(-0.831226\pi\) |
0.990559 | − | 0.137086i | \(-0.0437736\pi\) | |||||||
\(20\) | 0.966544 | + | 4.36644i | 0.216126 | + | 0.976366i | ||||
\(21\) | 5.06233 | + | 3.38254i | 1.10469 | + | 0.738131i | ||||
\(22\) | −8.90053 | − | 1.60359i | −1.89760 | − | 0.341887i | ||||
\(23\) | −0.174871 | + | 0.422175i | −0.0364630 | + | 0.0880295i | −0.941062 | − | 0.338234i | \(-0.890170\pi\) |
0.904599 | + | 0.426264i | \(0.140170\pi\) | |||||||
\(24\) | −1.91022 | − | 7.46139i | −0.389921 | − | 1.52305i | ||||
\(25\) | −1.77687 | − | 4.67362i | −0.355375 | − | 0.934724i | ||||
\(26\) | 4.37490 | − | 0.952817i | 0.857988 | − | 0.186863i | ||||
\(27\) | −3.77953 | + | 0.751795i | −0.727370 | + | 0.144683i | ||||
\(28\) | −1.56066 | + | 4.19054i | −0.294938 | + | 0.791937i | ||||
\(29\) | −5.37265 | − | 8.04074i | −0.997676 | − | 1.49313i | −0.864876 | − | 0.501986i | \(-0.832603\pi\) |
−0.132800 | − | 0.991143i | \(-0.542397\pi\) | |||||||
\(30\) | 3.32238 | + | 7.94439i | 0.606581 | + | 1.45044i | ||||
\(31\) | 3.46791i | 0.622856i | 0.950270 | + | 0.311428i | \(0.100807\pi\) | ||||
−0.950270 | + | 0.311428i | \(0.899193\pi\) | |||||||
\(32\) | 5.00930 | − | 2.62809i | 0.885528 | − | 0.464586i | ||||
\(33\) | −17.4140 | −3.03138 | ||||||||
\(34\) | 2.10845 | + | 0.828981i | 0.361596 | + | 0.142169i | ||||
\(35\) | 1.04729 | − | 4.88861i | 0.177025 | − | 0.826326i | ||||
\(36\) | −3.67216 | − | 8.03054i | −0.612026 | − | 1.33842i | ||||
\(37\) | 0.697180 | − | 0.138678i | 0.114616 | − | 0.0227985i | −0.137449 | − | 0.990509i | \(-0.543890\pi\) |
0.252065 | + | 0.967710i | \(0.418890\pi\) | |||||||
\(38\) | 3.94762 | − | 0.859760i | 0.640389 | − | 0.139471i | ||||
\(39\) | 7.96510 | − | 3.29925i | 1.27544 | − | 0.528303i | ||||
\(40\) | −5.11549 | + | 3.71911i | −0.808830 | + | 0.588043i | ||||
\(41\) | 8.59195 | + | 3.55890i | 1.34184 | + | 0.555807i | 0.934008 | − | 0.357251i | \(-0.116286\pi\) |
0.407829 | + | 0.913058i | \(0.366286\pi\) | |||||||
\(42\) | −1.52673 | + | 8.47389i | −0.235579 | + | 1.30755i | ||||
\(43\) | 3.46034 | − | 5.17876i | 0.527697 | − | 0.789754i | −0.467872 | − | 0.883796i | \(-0.654979\pi\) |
0.995568 | + | 0.0940427i | \(0.0299790\pi\) | |||||||
\(44\) | −2.94739 | − | 12.4457i | −0.444336 | − | 1.87626i | ||||
\(45\) | 5.36372 | + | 8.28845i | 0.799577 | + | 1.23557i | ||||
\(46\) | −0.646132 | + | 0.0116921i | −0.0952669 | + | 0.00172391i | ||||
\(47\) | −1.78464 | + | 1.78464i | −0.260316 | + | 0.260316i | −0.825182 | − | 0.564866i | \(-0.808928\pi\) |
0.564866 | + | 0.825182i | \(0.308928\pi\) | |||||||
\(48\) | 8.59533 | − | 6.69050i | 1.24063 | − | 0.965690i | ||||
\(49\) | −1.41488 | + | 1.41488i | −0.202125 | + | 0.202125i | ||||
\(50\) | 5.05613 | − | 4.94323i | 0.715045 | − | 0.699078i | ||||
\(51\) | 4.27853 | + | 0.851053i | 0.599114 | + | 0.119171i | ||||
\(52\) | 3.70609 | + | 5.13420i | 0.513942 | + | 0.711986i | ||||
\(53\) | 4.69376 | + | 3.13627i | 0.644737 | + | 0.430799i | 0.834483 | − | 0.551034i | \(-0.185766\pi\) |
−0.189746 | + | 0.981833i | \(0.560766\pi\) | |||||||
\(54\) | −3.10922 | − | 4.47580i | −0.423111 | − | 0.609079i | ||||
\(55\) | 5.27752 | + | 13.2900i | 0.711621 | + | 1.79203i | ||||
\(56\) | −6.31465 | + | 0.343101i | −0.843830 | + | 0.0458488i | ||||
\(57\) | 7.18719 | − | 2.97703i | 0.951967 | − | 0.394317i | ||||
\(58\) | 7.39110 | − | 11.5069i | 0.970499 | − | 1.51093i | ||||
\(59\) | −3.28682 | + | 0.653789i | −0.427908 | + | 0.0851161i | −0.404346 | − | 0.914606i | \(-0.632501\pi\) |
−0.0235620 | + | 0.999722i | \(0.507501\pi\) | |||||||
\(60\) | −8.42406 | + | 8.79422i | −1.08754 | + | 1.13533i | ||||
\(61\) | −12.3242 | + | 8.23478i | −1.57795 | + | 1.05436i | −0.613643 | + | 0.789583i | \(0.710297\pi\) |
−0.964311 | + | 0.264772i | \(0.914703\pi\) | |||||||
\(62\) | −4.49635 | + | 1.95849i | −0.571037 | + | 0.248729i | ||||
\(63\) | 9.87166i | 1.24371i | ||||||||
\(64\) | 6.23646 | + | 5.01064i | 0.779558 | + | 0.626330i | ||||
\(65\) | −4.93186 | − | 5.07895i | −0.611722 | − | 0.629966i | ||||
\(66\) | −9.83448 | − | 22.5782i | −1.21054 | − | 2.77918i | ||||
\(67\) | −3.89296 | − | 5.82622i | −0.475600 | − | 0.711786i | 0.513653 | − | 0.857998i | \(-0.328292\pi\) |
−0.989253 | + | 0.146212i | \(0.953292\pi\) | |||||||
\(68\) | 0.115918 | + | 3.20189i | 0.0140571 | + | 0.388286i | ||||
\(69\) | −1.22042 | + | 0.242758i | −0.146922 | + | 0.0292246i | ||||
\(70\) | 6.92982 | − | 1.40295i | 0.828272 | − | 0.167684i | ||||
\(71\) | 2.63315 | + | 6.35699i | 0.312497 | + | 0.754435i | 0.999611 | + | 0.0278855i | \(0.00887739\pi\) |
−0.687114 | + | 0.726550i | \(0.741123\pi\) | |||||||
\(72\) | 8.33822 | − | 9.29638i | 0.982669 | − | 1.09559i | ||||
\(73\) | 4.28403 | + | 1.77450i | 0.501408 | + | 0.207690i | 0.619028 | − | 0.785369i | \(-0.287527\pi\) |
−0.117621 | + | 0.993059i | \(0.537527\pi\) | |||||||
\(74\) | 0.573533 | + | 0.825616i | 0.0666719 | + | 0.0959759i | ||||
\(75\) | 7.89364 | − | 11.0937i | 0.911479 | − | 1.28099i | ||||
\(76\) | 3.34413 | + | 4.63277i | 0.383598 | + | 0.531415i | ||||
\(77\) | −2.78944 | + | 14.0235i | −0.317887 | + | 1.59812i | ||||
\(78\) | 8.77593 | + | 8.46397i | 0.993679 | + | 0.958356i | ||||
\(79\) | 9.11699 | − | 9.11699i | 1.02574 | − | 1.02574i | 0.0260821 | − | 0.999660i | \(-0.491697\pi\) |
0.999660 | − | 0.0260821i | \(-0.00830312\pi\) | |||||||
\(80\) | −7.71100 | − | 4.53217i | −0.862116 | − | 0.506712i | ||||
\(81\) | 1.94587 | + | 1.94587i | 0.216208 | + | 0.216208i | ||||
\(82\) | 0.237954 | + | 13.1498i | 0.0262776 | + | 1.45216i | ||||
\(83\) | −2.23317 | − | 0.444205i | −0.245122 | − | 0.0487579i | 0.0709999 | − | 0.997476i | \(-0.477381\pi\) |
−0.316122 | + | 0.948718i | \(0.602381\pi\) | |||||||
\(84\) | −11.8491 | + | 2.80611i | −1.29284 | + | 0.306172i | ||||
\(85\) | −0.647154 | − | 3.52322i | −0.0701937 | − | 0.382147i | ||||
\(86\) | 8.66878 | + | 1.56184i | 0.934778 | + | 0.168417i | ||||
\(87\) | 10.0774 | − | 24.3291i | 1.08041 | − | 2.60835i | ||||
\(88\) | 14.4720 | − | 10.8501i | 1.54272 | − | 1.15663i | ||||
\(89\) | −4.97856 | + | 2.06219i | −0.527726 | + | 0.218591i | −0.630607 | − | 0.776102i | \(-0.717194\pi\) |
0.102881 | + | 0.994694i | \(0.467194\pi\) | |||||||
\(90\) | −7.71731 | + | 11.6352i | −0.813475 | + | 1.22646i | ||||
\(91\) | −1.38101 | − | 6.94279i | −0.144769 | − | 0.727802i | ||||
\(92\) | −0.380060 | − | 0.831144i | −0.0396240 | − | 0.0866527i | ||||
\(93\) | −7.85190 | + | 5.24647i | −0.814204 | + | 0.544034i | ||||
\(94\) | −3.32175 | − | 1.30602i | −0.342612 | − | 0.134705i | ||||
\(95\) | −4.45019 | − | 4.58291i | −0.456580 | − | 0.470197i | ||||
\(96\) | 13.5288 | + | 7.36590i | 1.38078 | + | 0.751779i | ||||
\(97\) | −10.3610 | −1.05200 | −0.526002 | − | 0.850483i | \(-0.676310\pi\) | ||||
−0.526002 | + | 0.850483i | \(0.676310\pi\) | |||||||
\(98\) | −2.63351 | − | 1.03542i | −0.266025 | − | 0.104593i | ||||
\(99\) | −15.6864 | − | 23.4763i | −1.57654 | − | 2.35946i | ||||
\(100\) | 9.26462 | + | 3.76389i | 0.926462 | + | 0.376389i | ||||
\(101\) | −0.819505 | − | 4.11993i | −0.0815438 | − | 0.409948i | −0.999899 | − | 0.0141918i | \(-0.995482\pi\) |
0.918356 | − | 0.395756i | \(-0.129518\pi\) | |||||||
\(102\) | 1.31285 | + | 6.02799i | 0.129991 | + | 0.596860i | ||||
\(103\) | −2.22218 | − | 5.36482i | −0.218958 | − | 0.528611i | 0.775787 | − | 0.630995i | \(-0.217353\pi\) |
−0.994745 | + | 0.102384i | \(0.967353\pi\) | |||||||
\(104\) | −4.56379 | + | 7.70468i | −0.447516 | + | 0.755506i | ||||
\(105\) | 12.6530 | − | 5.02455i | 1.23480 | − | 0.490346i | ||||
\(106\) | −1.41557 | + | 7.85692i | −0.137492 | + | 0.763131i | ||||
\(107\) | −9.09406 | + | 13.6102i | −0.879156 | + | 1.31575i | 0.0688919 | + | 0.997624i | \(0.478054\pi\) |
−0.948048 | + | 0.318126i | \(0.896946\pi\) | |||||||
\(108\) | 4.04721 | − | 6.55898i | 0.389443 | − | 0.631138i | ||||
\(109\) | 0.296202 | − | 1.48911i | 0.0283710 | − | 0.142631i | −0.964004 | − | 0.265889i | \(-0.914334\pi\) |
0.992375 | + | 0.123259i | \(0.0393344\pi\) | |||||||
\(110\) | −14.2508 | + | 14.3481i | −1.35876 | + | 1.36804i | ||||
\(111\) | 1.36872 | + | 1.36872i | 0.129914 | + | 0.129914i | ||||
\(112\) | −4.01103 | − | 7.99354i | −0.379006 | − | 0.755319i | ||||
\(113\) | 4.98447 | + | 4.98447i | 0.468900 | + | 0.468900i | 0.901558 | − | 0.432658i | \(-0.142424\pi\) |
−0.432658 | + | 0.901558i | \(0.642424\pi\) | |||||||
\(114\) | 7.91883 | + | 7.63734i | 0.741667 | + | 0.715302i | ||||
\(115\) | 0.555134 | + | 0.857836i | 0.0517665 | + | 0.0799937i | ||||
\(116\) | 19.0935 | + | 3.08448i | 1.77279 | + | 0.286387i | ||||
\(117\) | 11.6227 | + | 7.76606i | 1.07452 | + | 0.717972i | ||||
\(118\) | −2.70390 | − | 3.89233i | −0.248914 | − | 0.358318i | ||||
\(119\) | 1.37071 | − | 3.30918i | 0.125653 | − | 0.303352i | ||||
\(120\) | −16.1597 | − | 5.95577i | −1.47517 | − | 0.543685i | ||||
\(121\) | −11.4405 | − | 27.6198i | −1.04005 | − | 2.51089i | ||||
\(122\) | −17.6369 | − | 11.3285i | −1.59677 | − | 1.02563i | ||||
\(123\) | 4.94052 | + | 24.8377i | 0.445471 | + | 2.23954i | ||||
\(124\) | −5.07860 | − | 4.72372i | −0.456071 | − | 0.424203i | ||||
\(125\) | −10.8588 | − | 2.66222i | −0.971237 | − | 0.238116i | ||||
\(126\) | −12.7992 | + | 5.57499i | −1.14024 | + | 0.496659i | ||||
\(127\) | − | 17.9886i | − | 1.59623i | −0.602506 | − | 0.798114i | \(-0.705831\pi\) | ||
0.602506 | − | 0.798114i | \(-0.294169\pi\) | |||||||
\(128\) | −2.97456 | + | 10.9157i | −0.262917 | + | 0.964819i | ||||
\(129\) | 16.9605 | 1.49329 | ||||||||
\(130\) | 3.79990 | − | 9.26275i | 0.333273 | − | 0.812397i | ||||
\(131\) | 5.88646 | − | 3.93321i | 0.514302 | − | 0.343646i | −0.271181 | − | 0.962528i | \(-0.587414\pi\) |
0.785484 | + | 0.618882i | \(0.212414\pi\) | |||||||
\(132\) | 23.7200 | − | 25.5019i | 2.06456 | − | 2.21966i | ||||
\(133\) | −1.24613 | − | 6.26472i | −0.108053 | − | 0.543221i | ||||
\(134\) | 5.35550 | − | 8.33778i | 0.462644 | − | 0.720274i | ||||
\(135\) | −3.41413 | + | 7.91163i | −0.293841 | + | 0.680924i | ||||
\(136\) | −4.08597 | + | 1.95855i | −0.350369 | + | 0.167944i | ||||
\(137\) | −4.16155 | − | 1.72377i | −0.355546 | − | 0.147272i | 0.197759 | − | 0.980251i | \(-0.436634\pi\) |
−0.553305 | + | 0.832979i | \(0.686634\pi\) | |||||||
\(138\) | −1.00398 | − | 1.44525i | −0.0854645 | − | 0.123028i | ||||
\(139\) | −7.20226 | + | 10.7789i | −0.610888 | + | 0.914259i | −0.999976 | − | 0.00694211i | \(-0.997790\pi\) |
0.389088 | + | 0.921201i | \(0.372790\pi\) | |||||||
\(140\) | 5.73259 | + | 8.19260i | 0.484493 | + | 0.692401i | ||||
\(141\) | −6.74060 | − | 1.34079i | −0.567661 | − | 0.112915i | ||||
\(142\) | −6.75513 | + | 7.00412i | −0.566878 | + | 0.587772i | ||||
\(143\) | 14.3166 | + | 14.3166i | 1.19721 | + | 1.19721i | ||||
\(144\) | 16.7623 | + | 5.56088i | 1.39686 | + | 0.463407i | ||||
\(145\) | −21.6216 | − | 0.317688i | −1.79558 | − | 0.0263826i | ||||
\(146\) | 0.118646 | + | 6.55664i | 0.00981921 | + | 0.542631i | ||||
\(147\) | −5.34401 | − | 1.06299i | −0.440767 | − | 0.0876739i | ||||
\(148\) | −0.746557 | + | 1.20988i | −0.0613666 | + | 0.0994517i | ||||
\(149\) | −3.74589 | − | 2.50292i | −0.306875 | − | 0.205047i | 0.392591 | − | 0.919713i | \(-0.371579\pi\) |
−0.699466 | + | 0.714666i | \(0.746579\pi\) | |||||||
\(150\) | 18.8415 | + | 3.96946i | 1.53840 | + | 0.324105i | ||||
\(151\) | 2.69034 | + | 1.11438i | 0.218937 | + | 0.0906867i | 0.489456 | − | 0.872028i | \(-0.337195\pi\) |
−0.270519 | + | 0.962715i | \(0.587195\pi\) | |||||||
\(152\) | −4.11807 | + | 6.95220i | −0.334019 | + | 0.563898i | ||||
\(153\) | 2.70674 | + | 6.53464i | 0.218827 | + | 0.528295i | ||||
\(154\) | −19.7576 | + | 4.30304i | −1.59211 | + | 0.346749i | ||||
\(155\) | 6.38363 | + | 4.40242i | 0.512746 | + | 0.353611i | ||||
\(156\) | −6.01784 | + | 16.1585i | −0.481813 | + | 1.29372i | ||||
\(157\) | 10.7073 | − | 7.15439i | 0.854536 | − | 0.570983i | −0.0493375 | − | 0.998782i | \(-0.515711\pi\) |
0.903874 | + | 0.427799i | \(0.140711\pi\) | |||||||
\(158\) | 16.9695 | + | 6.67191i | 1.35002 | + | 0.530789i | ||||
\(159\) | 15.3721i | 1.21909i | ||||||||
\(160\) | 1.52146 | − | 12.5573i | 0.120282 | − | 0.992740i | ||||
\(161\) | 1.02170i | 0.0805209i | ||||||||
\(162\) | −1.42401 | + | 3.62186i | −0.111881 | + | 0.284560i | ||||
\(163\) | −7.91076 | + | 5.28580i | −0.619619 | + | 0.414016i | −0.825373 | − | 0.564588i | \(-0.809035\pi\) |
0.205754 | + | 0.978604i | \(0.434035\pi\) | |||||||
\(164\) | −16.9151 | + | 7.73485i | −1.32085 | + | 0.603990i | ||||
\(165\) | −22.1066 | + | 32.0551i | −1.72099 | + | 2.49549i | ||||
\(166\) | −0.685238 | − | 3.14630i | −0.0531848 | − | 0.244200i | ||||
\(167\) | 7.60570 | + | 18.3618i | 0.588547 | + | 1.42088i | 0.884892 | + | 0.465797i | \(0.154232\pi\) |
−0.296345 | + | 0.955081i | \(0.595768\pi\) | |||||||
\(168\) | −10.3300 | − | 13.7783i | −0.796978 | − | 1.06302i | ||||
\(169\) | 2.74966 | + | 1.13895i | 0.211513 | + | 0.0876114i | ||||
\(170\) | 4.20258 | − | 2.82880i | 0.322323 | − | 0.216959i | ||||
\(171\) | 10.4876 | + | 7.00759i | 0.802006 | + | 0.535884i | ||||
\(172\) | 2.87065 | + | 12.1216i | 0.218885 | + | 0.924264i | ||||
\(173\) | −13.9037 | − | 2.76562i | −1.05708 | − | 0.210266i | −0.364200 | − | 0.931321i | \(-0.618658\pi\) |
−0.692878 | + | 0.721055i | \(0.743658\pi\) | |||||||
\(174\) | 37.2352 | − | 0.673792i | 2.82279 | − | 0.0510800i | ||||
\(175\) | −7.66930 | − | 8.13379i | −0.579744 | − | 0.614857i | ||||
\(176\) | 22.2408 | + | 12.6362i | 1.67646 | + | 0.952490i | ||||
\(177\) | −6.45278 | − | 6.45278i | −0.485021 | − | 0.485021i | ||||
\(178\) | −5.48536 | − | 5.29037i | −0.411145 | − | 0.396530i | ||||
\(179\) | −8.07361 | − | 1.60594i | −0.603450 | − | 0.120034i | −0.116096 | − | 0.993238i | \(-0.537038\pi\) |
−0.487354 | + | 0.873204i | \(0.662038\pi\) | |||||||
\(180\) | −19.4441 | − | 3.43496i | −1.44928 | − | 0.256027i | ||||
\(181\) | 0.482532 | − | 0.722160i | 0.0358663 | − | 0.0536778i | −0.813103 | − | 0.582120i | \(-0.802224\pi\) |
0.848970 | + | 0.528442i | \(0.177224\pi\) | |||||||
\(182\) | 8.22181 | − | 5.71147i | 0.609441 | − | 0.423363i | ||||
\(183\) | −37.2897 | − | 15.4459i | −2.75653 | − | 1.14179i | ||||
\(184\) | 0.862988 | − | 0.962155i | 0.0636203 | − | 0.0709310i | ||||
\(185\) | 0.629777 | − | 1.45940i | 0.0463021 | − | 0.107297i | ||||
\(186\) | −11.2367 | − | 7.21751i | −0.823914 | − | 0.529214i | ||||
\(187\) | 1.99864 | + | 10.0478i | 0.146155 | + | 0.734770i | ||||
\(188\) | −0.182622 | − | 5.04441i | −0.0133191 | − | 0.367901i | ||||
\(189\) | −7.16398 | + | 4.78682i | −0.521103 | + | 0.348190i | ||||
\(190\) | 3.42878 | − | 8.35811i | 0.248750 | − | 0.606361i | ||||
\(191\) | −14.9972 | −1.08516 | −0.542578 | − | 0.840005i | \(-0.682552\pi\) | ||||
−0.542578 | + | 0.840005i | \(0.682552\pi\) | |||||||
\(192\) | −1.90997 | + | 21.7007i | −0.137841 | + | 1.56612i | ||||
\(193\) | − | 22.3644i | − | 1.60982i | −0.593395 | − | 0.804911i | \(-0.702213\pi\) | ||
0.593395 | − | 0.804911i | \(-0.297787\pi\) | |||||||
\(194\) | −5.85137 | − | 13.4337i | −0.420104 | − | 0.964483i | ||||
\(195\) | 4.03832 | − | 18.8502i | 0.289190 | − | 1.34989i | ||||
\(196\) | −0.144785 | − | 3.99925i | −0.0103418 | − | 0.285661i | ||||
\(197\) | 2.09979 | + | 10.5563i | 0.149604 | + | 0.752108i | 0.980629 | + | 0.195874i | \(0.0627542\pi\) |
−0.831026 | + | 0.556234i | \(0.812246\pi\) | |||||||
\(198\) | 21.5796 | − | 33.5964i | 1.53359 | − | 2.38759i | ||||
\(199\) | 3.95055 | + | 9.53746i | 0.280047 | + | 0.676093i | 0.999836 | − | 0.0180996i | \(-0.00576161\pi\) |
−0.719789 | + | 0.694193i | \(0.755762\pi\) | |||||||
\(200\) | 0.352056 | + | 14.1378i | 0.0248941 | + | 0.999690i | ||||
\(201\) | 7.30197 | − | 17.6285i | 0.515041 | − | 1.24342i | ||||
\(202\) | 4.87891 | − | 3.38925i | 0.343279 | − | 0.238467i | ||||
\(203\) | −17.9780 | − | 12.0125i | −1.26181 | − | 0.843112i | ||||
\(204\) | −7.07421 | + | 5.10647i | −0.495294 | + | 0.357524i | ||||
\(205\) | 17.4584 | − | 11.2979i | 1.21935 | − | 0.789078i | ||||
\(206\) | 5.70083 | − | 5.91095i | 0.397195 | − | 0.411835i | ||||
\(207\) | −1.42662 | − | 1.42662i | −0.0991568 | − | 0.0991568i | ||||
\(208\) | −12.5669 | − | 1.56602i | −0.871361 | − | 0.108584i | ||||
\(209\) | 12.9183 | + | 12.9183i | 0.893579 | + | 0.893579i | ||||
\(210\) | 13.6603 | + | 13.5677i | 0.942653 | + | 0.936262i | ||||
\(211\) | −4.79836 | + | 24.1230i | −0.330333 | + | 1.66070i | 0.356812 | + | 0.934176i | \(0.383864\pi\) |
−0.687145 | + | 0.726520i | \(0.741136\pi\) | |||||||
\(212\) | −10.9864 | + | 2.60180i | −0.754548 | + | 0.178693i | ||||
\(213\) | −10.4096 | + | 15.5791i | −0.713255 | + | 1.06746i | ||||
\(214\) | −22.7823 | − | 4.10465i | −1.55737 | − | 0.280588i | ||||
\(215\) | −5.14011 | − | 12.9440i | −0.350552 | − | 0.882773i | ||||
\(216\) | 10.7897 | + | 1.54328i | 0.734149 | + | 0.105007i | ||||
\(217\) | 2.96724 | + | 7.16354i | 0.201429 | + | 0.486293i | ||||
\(218\) | 2.09800 | − | 0.456926i | 0.142094 | − | 0.0309469i | ||||
\(219\) | 2.46339 | + | 12.3843i | 0.166460 | + | 0.836853i | ||||
\(220\) | −26.6513 | − | 10.3740i | −1.79683 | − | 0.699413i | ||||
\(221\) | −2.81783 | − | 4.21719i | −0.189548 | − | 0.283679i | ||||
\(222\) | −1.00165 | + | 2.54761i | −0.0672261 | + | 0.170984i | ||||
\(223\) | 11.4352 | 0.765757 | 0.382879 | − | 0.923799i | \(-0.374933\pi\) | ||||
0.382879 | + | 0.923799i | \(0.374933\pi\) | |||||||
\(224\) | 8.09887 | − | 9.71485i | 0.541129 | − | 0.649101i | ||||
\(225\) | 22.0662 | + | 0.648582i | 1.47108 | + | 0.0432388i | ||||
\(226\) | −3.64769 | + | 9.27762i | −0.242641 | + | 0.617138i | ||||
\(227\) | 11.8615 | − | 7.92558i | 0.787274 | − | 0.526039i | −0.0957290 | − | 0.995407i | \(-0.530518\pi\) |
0.883003 | + | 0.469368i | \(0.155518\pi\) | |||||||
\(228\) | −5.43011 | + | 14.5804i | −0.359618 | + | 0.965609i | ||||
\(229\) | 0.0300497 | + | 0.151070i | 0.00198574 | + | 0.00998299i | 0.981765 | − | 0.190096i | \(-0.0608800\pi\) |
−0.979780 | + | 0.200079i | \(0.935880\pi\) | |||||||
\(230\) | −0.798724 | + | 1.20422i | −0.0526663 | + | 0.0794041i | ||||
\(231\) | −35.9714 | + | 14.8998i | −2.36674 | + | 0.980338i | ||||
\(232\) | 6.78378 | + | 26.4978i | 0.445377 | + | 1.73966i | ||||
\(233\) | −9.28944 | + | 22.4267i | −0.608571 | + | 1.46922i | 0.255983 | + | 0.966681i | \(0.417601\pi\) |
−0.864554 | + | 0.502540i | \(0.832399\pi\) | |||||||
\(234\) | −3.50524 | + | 19.4554i | −0.229145 | + | 1.27184i | ||||
\(235\) | 1.01956 | + | 5.55065i | 0.0665086 | + | 0.362085i | ||||
\(236\) | 3.51961 | − | 5.70394i | 0.229107 | − | 0.371295i | ||||
\(237\) | 34.4350 | + | 6.84956i | 2.23680 | + | 0.444926i | ||||
\(238\) | 5.06464 | − | 0.0916475i | 0.328292 | − | 0.00594063i | ||||
\(239\) | −5.80859 | − | 5.80859i | −0.375727 | − | 0.375727i | 0.493831 | − | 0.869558i | \(-0.335596\pi\) |
−0.869558 | + | 0.493831i | \(0.835596\pi\) | |||||||
\(240\) | −1.40413 | − | 24.3154i | −0.0906361 | − | 1.56955i | ||||
\(241\) | 19.9361 | − | 19.9361i | 1.28419 | − | 1.28419i | 0.345936 | − | 0.938258i | \(-0.387561\pi\) |
0.938258 | − | 0.345936i | \(-0.112439\pi\) | |||||||
\(242\) | 29.3497 | − | 30.4315i | 1.88667 | − | 1.95621i | ||||
\(243\) | −3.71731 | + | 18.6882i | −0.238466 | + | 1.19885i | ||||
\(244\) | 4.72765 | − | 29.2650i | 0.302657 | − | 1.87350i | ||||
\(245\) | 0.808315 | + | 4.40061i | 0.0516413 | + | 0.281145i | ||||
\(246\) | −29.4133 | + | 20.4326i | −1.87532 | + | 1.30274i | ||||
\(247\) | −8.35632 | − | 3.46130i | −0.531700 | − | 0.220237i | ||||
\(248\) | 3.25646 | − | 9.25240i | 0.206785 | − | 0.587528i | ||||
\(249\) | −2.37273 | − | 5.72827i | −0.150365 | − | 0.363014i | ||||
\(250\) | −2.68073 | − | 15.5825i | −0.169544 | − | 0.985523i | ||||
\(251\) | −6.82277 | + | 1.35713i | −0.430649 | + | 0.0856615i | −0.405655 | − | 0.914026i | \(-0.632957\pi\) |
−0.0249941 | + | 0.999688i | \(0.507957\pi\) | |||||||
\(252\) | −14.4566 | − | 13.4464i | −0.910679 | − | 0.847044i | ||||
\(253\) | −1.62350 | − | 2.42975i | −0.102069 | − | 0.152757i | ||||
\(254\) | 23.3232 | − | 10.1590i | 1.46343 | − | 0.637432i | ||||
\(255\) | 6.99807 | − | 6.79541i | 0.438236 | − | 0.425545i | ||||
\(256\) | −15.8327 | + | 2.30790i | −0.989542 | + | 0.144244i | ||||
\(257\) | − | 6.64213i | − | 0.414324i | −0.978307 | − | 0.207162i | \(-0.933577\pi\) | ||
0.978307 | − | 0.207162i | \(-0.0664228\pi\) | |||||||
\(258\) | 9.57841 | + | 21.9903i | 0.596326 | + | 1.36906i | ||||
\(259\) | 1.32148 | − | 0.882986i | 0.0821129 | − | 0.0548661i | ||||
\(260\) | 14.1557 | − | 0.304325i | 0.877898 | − | 0.0188734i | ||||
\(261\) | 41.8764 | − | 8.32974i | 2.59208 | − | 0.515598i | ||||
\(262\) | 8.42399 | + | 5.41087i | 0.520436 | + | 0.334285i | ||||
\(263\) | 3.19499 | − | 1.32341i | 0.197012 | − | 0.0816050i | −0.281996 | − | 0.959416i | \(-0.590997\pi\) |
0.479008 | + | 0.877811i | \(0.340997\pi\) | |||||||
\(264\) | 46.4605 | + | 16.3522i | 2.85944 | + | 1.00641i | ||||
\(265\) | 11.7317 | − | 4.65872i | 0.720675 | − | 0.286183i | ||||
\(266\) | 7.41883 | − | 5.15366i | 0.454877 | − | 0.315991i | ||||
\(267\) | −12.2010 | − | 8.15243i | −0.746688 | − | 0.498921i | ||||
\(268\) | 13.8349 | + | 2.23497i | 0.845101 | + | 0.136523i | ||||
\(269\) | 0.0558625 | + | 0.0111117i | 0.00340600 | + | 0.000677495i | 0.196793 | − | 0.980445i | \(-0.436947\pi\) |
−0.193387 | + | 0.981123i | \(0.561947\pi\) | |||||||
\(270\) | −12.1860 | + | 0.0414515i | −0.741616 | + | 0.00252266i | ||||
\(271\) | 2.87793 | − | 2.87793i | 0.174822 | − | 0.174822i | −0.614272 | − | 0.789094i | \(-0.710550\pi\) |
0.789094 | + | 0.614272i | \(0.210550\pi\) | |||||||
\(272\) | −4.84691 | − | 4.19161i | −0.293887 | − | 0.254154i | ||||
\(273\) | 13.6303 | − | 13.6303i | 0.824943 | − | 0.824943i | ||||
\(274\) | −0.115254 | − | 6.36919i | −0.00696275 | − | 0.384777i | ||||
\(275\) | 31.1636 | + | 7.15664i | 1.87923 | + | 0.431562i | ||||
\(276\) | 1.30686 | − | 2.11792i | 0.0786638 | − | 0.127484i | ||||
\(277\) | −8.08703 | + | 12.1031i | −0.485902 | + | 0.727204i | −0.990705 | − | 0.136031i | \(-0.956565\pi\) |
0.504802 | + | 0.863235i | \(0.331565\pi\) | |||||||
\(278\) | −18.0430 | − | 3.25077i | −1.08215 | − | 0.194968i | ||||
\(279\) | −14.1459 | − | 5.85941i | −0.846890 | − | 0.350794i | ||||
\(280\) | −7.38471 | + | 12.0594i | −0.441321 | + | 0.720686i | ||||
\(281\) | 11.1186 | − | 4.60546i | 0.663278 | − | 0.274739i | −0.0255392 | − | 0.999674i | \(-0.508130\pi\) |
0.688817 | + | 0.724935i | \(0.258130\pi\) | |||||||
\(282\) | −2.06832 | − | 9.49678i | −0.123167 | − | 0.565525i | ||||
\(283\) | −23.7116 | + | 4.71652i | −1.40951 | + | 0.280368i | −0.840432 | − | 0.541917i | \(-0.817699\pi\) |
−0.569075 | + | 0.822286i | \(0.692699\pi\) | |||||||
\(284\) | −12.8962 | − | 4.80287i | −0.765247 | − | 0.284998i | ||||
\(285\) | 3.64391 | − | 17.0092i | 0.215847 | − | 1.00754i | ||||
\(286\) | −10.4770 | + | 26.6475i | −0.619518 | + | 1.57570i | ||||
\(287\) | 20.7932 | 1.22738 | ||||||||
\(288\) | 2.25643 | + | 24.8737i | 0.132962 | + | 1.46570i | ||||
\(289\) | 14.4336i | 0.849036i | ||||||||
\(290\) | −11.7988 | − | 28.2131i | −0.692851 | − | 1.65673i | ||||
\(291\) | −15.6748 | − | 23.4590i | −0.918874 | − | 1.37519i | ||||
\(292\) | −8.43405 | + | 3.85667i | −0.493565 | + | 0.225694i | ||||
\(293\) | 14.2459 | − | 2.83368i | 0.832253 | − | 0.165545i | 0.239466 | − | 0.970905i | \(-0.423028\pi\) |
0.592787 | + | 0.805359i | \(0.298028\pi\) | |||||||
\(294\) | −1.63978 | − | 7.52914i | −0.0956342 | − | 0.439108i | ||||
\(295\) | −2.96906 | + | 6.88025i | −0.172865 | + | 0.400584i | ||||
\(296\) | −1.99030 | − | 0.284677i | −0.115684 | − | 0.0165465i | ||||
\(297\) | 9.43063 | − | 22.7676i | 0.547221 | − | 1.32111i | ||||
\(298\) | 1.12970 | − | 6.27028i | 0.0654420 | − | 0.363227i | ||||
\(299\) | 1.20293 | + | 0.803770i | 0.0695671 | + | 0.0464832i | ||||
\(300\) | 5.49403 | + | 26.6708i | 0.317198 | + | 1.53984i | ||||
\(301\) | 2.71681 | − | 13.6583i | 0.156594 | − | 0.787253i | ||||
\(302\) | 0.0745089 | + | 4.11752i | 0.00428750 | + | 0.236937i | ||||
\(303\) | 8.08836 | − | 8.08836i | 0.464664 | − | 0.464664i | ||||
\(304\) | −11.3396 | − | 1.41308i | −0.650370 | − | 0.0810455i | ||||
\(305\) | −0.486927 | + | 33.1399i | −0.0278814 | + | 1.89758i | ||||
\(306\) | −6.94392 | + | 7.19986i | −0.396957 | + | 0.411588i | ||||
\(307\) | 3.19525 | − | 16.0636i | 0.182362 | − | 0.916797i | −0.775889 | − | 0.630870i | \(-0.782698\pi\) |
0.958251 | − | 0.285928i | \(-0.0923017\pi\) | |||||||
\(308\) | −16.7372 | − | 23.1867i | −0.953688 | − | 1.32119i | ||||
\(309\) | 8.78494 | − | 13.1476i | 0.499758 | − | 0.747940i | ||||
\(310\) | −2.10286 | + | 10.7630i | −0.119434 | + | 0.611297i | ||||
\(311\) | 1.69527 | − | 4.09275i | 0.0961302 | − | 0.232079i | −0.868498 | − | 0.495692i | \(-0.834914\pi\) |
0.964628 | + | 0.263614i | \(0.0849144\pi\) | |||||||
\(312\) | −24.3490 | + | 1.32298i | −1.37849 | + | 0.0748990i | ||||
\(313\) | 16.1938 | − | 6.70771i | 0.915330 | − | 0.379142i | 0.125236 | − | 0.992127i | \(-0.460031\pi\) |
0.790095 | + | 0.612985i | \(0.210031\pi\) | |||||||
\(314\) | 15.3230 | + | 9.84222i | 0.864727 | + | 0.555429i | ||||
\(315\) | 18.1715 | + | 12.5318i | 1.02385 | + | 0.706087i | ||||
\(316\) | 0.932945 | + | 25.7699i | 0.0524823 | + | 1.44967i | ||||
\(317\) | −11.3639 | − | 17.0073i | −0.638259 | − | 0.955223i | −0.999739 | − | 0.0228428i | \(-0.992728\pi\) |
0.361480 | − | 0.932380i | \(-0.382272\pi\) | |||||||
\(318\) | −19.9309 | + | 8.68136i | −1.11767 | + | 0.486826i | ||||
\(319\) | 61.8425 | 3.46252 | ||||||||
\(320\) | 17.1405 | − | 5.11902i | 0.958181 | − | 0.286162i | ||||
\(321\) | −44.5737 | −2.48786 | ||||||||
\(322\) | −1.32469 | + | 0.576999i | −0.0738219 | + | 0.0321549i | ||||
\(323\) | −2.54263 | − | 3.80532i | −0.141476 | − | 0.211733i | ||||
\(324\) | −5.50016 | + | 0.199122i | −0.305564 | + | 0.0110623i | ||||
\(325\) | −15.6100 | + | 2.63083i | −0.865889 | + | 0.145932i | ||||
\(326\) | −11.3209 | − | 7.27162i | −0.627008 | − | 0.402738i | ||||
\(327\) | 3.81969 | − | 1.58217i | 0.211229 | − | 0.0874940i | ||||
\(328\) | −19.5814 | − | 17.5632i | −1.08120 | − | 0.969767i | ||||
\(329\) | −2.15948 | + | 5.21344i | −0.119056 | + | 0.287426i | ||||
\(330\) | −54.0459 | − | 10.5594i | −2.97513 | − | 0.581277i | ||||
\(331\) | −3.77440 | + | 5.64879i | −0.207460 | + | 0.310485i | −0.920578 | − | 0.390558i | \(-0.872282\pi\) |
0.713119 | + | 0.701043i | \(0.247282\pi\) | |||||||
\(332\) | 3.69237 | − | 2.66531i | 0.202645 | − | 0.146278i | ||||
\(333\) | −0.612283 | + | 3.07815i | −0.0335529 | + | 0.168682i | ||||
\(334\) | −19.5118 | + | 20.2310i | −1.06764 | + | 1.10699i | ||||
\(335\) | −15.6667 | − | 0.230193i | −0.855965 | − | 0.0125768i | ||||
\(336\) | 12.0305 | − | 21.1747i | 0.656318 | − | 1.15517i | ||||
\(337\) | 4.02973 | − | 4.02973i | 0.219514 | − | 0.219514i | −0.588780 | − | 0.808293i | \(-0.700392\pi\) |
0.808293 | + | 0.588780i | \(0.200392\pi\) | |||||||
\(338\) | 0.0761518 | + | 4.20832i | 0.00414211 | + | 0.228902i | ||||
\(339\) | −3.74481 | + | 18.8264i | −0.203390 | + | 1.02251i | ||||
\(340\) | 6.04110 | + | 3.85133i | 0.327625 | + | 0.208868i | ||||
\(341\) | −18.4396 | − | 12.3210i | −0.998562 | − | 0.667218i | ||||
\(342\) | −3.16291 | + | 17.5553i | −0.171030 | + | 0.949281i | ||||
\(343\) | −7.70144 | + | 18.5929i | −0.415838 | + | 1.00392i | ||||
\(344\) | −14.0952 | + | 10.5676i | −0.759961 | + | 0.569767i | ||||
\(345\) | −1.10244 | + | 2.55470i | −0.0593532 | + | 0.137540i | ||||
\(346\) | −4.26628 | − | 19.5888i | −0.229357 | − | 1.05310i | ||||
\(347\) | −9.61100 | + | 1.91175i | −0.515945 | + | 0.102628i | −0.446194 | − | 0.894936i | \(-0.647221\pi\) |
−0.0697517 | + | 0.997564i | \(0.522221\pi\) | |||||||
\(348\) | 21.9021 | + | 47.8971i | 1.17407 | + | 2.56755i | ||||
\(349\) | −3.08654 | − | 4.61933i | −0.165218 | − | 0.247267i | 0.739617 | − | 0.673028i | \(-0.235007\pi\) |
−0.904836 | + | 0.425761i | \(0.860007\pi\) | |||||||
\(350\) | 6.21471 | − | 14.5372i | 0.332190 | − | 0.777047i | ||||
\(351\) | 12.2005i | 0.651217i | ||||||||
\(352\) | −3.82315 | + | 35.9727i | −0.203775 | + | 1.91735i | ||||
\(353\) | −16.4074 | −0.873279 | −0.436639 | − | 0.899637i | \(-0.643831\pi\) | ||||
−0.436639 | + | 0.899637i | \(0.643831\pi\) | |||||||
\(354\) | 4.72222 | − | 12.0106i | 0.250983 | − | 0.638356i | ||||
\(355\) | 15.0445 | + | 3.22300i | 0.798477 | + | 0.171059i | ||||
\(356\) | 3.76143 | − | 10.0998i | 0.199355 | − | 0.535289i | ||||
\(357\) | 9.56619 | − | 1.90283i | 0.506296 | − | 0.100709i | ||||
\(358\) | −2.47735 | − | 11.3748i | −0.130932 | − | 0.601179i | ||||
\(359\) | −7.12735 | + | 2.95225i | −0.376167 | + | 0.155814i | −0.562753 | − | 0.826625i | \(-0.690258\pi\) |
0.186586 | + | 0.982439i | \(0.440258\pi\) | |||||||
\(360\) | −6.52736 | − | 27.1503i | −0.344022 | − | 1.43094i | ||||
\(361\) | 10.0135 | + | 4.14773i | 0.527027 | + | 0.218302i | ||||
\(362\) | 1.20883 | + | 0.217793i | 0.0635347 | + | 0.0114469i | ||||
\(363\) | 45.2277 | − | 67.6880i | 2.37384 | − | 3.55270i | ||||
\(364\) | 12.0485 | + | 7.43451i | 0.631513 | + | 0.389674i | ||||
\(365\) | 8.70492 | − | 5.63323i | 0.455636 | − | 0.294857i | ||||
\(366\) | −1.03273 | − | 57.0712i | −0.0539819 | − | 2.98316i | ||||
\(367\) | −11.8976 | + | 11.8976i | −0.621048 | + | 0.621048i | −0.945799 | − | 0.324751i | \(-0.894719\pi\) |
0.324751 | + | 0.945799i | \(0.394719\pi\) | |||||||
\(368\) | 1.73486 | + | 0.575539i | 0.0904358 | + | 0.0300021i | ||||
\(369\) | −29.0340 | + | 29.0340i | −1.51145 | + | 1.51145i | ||||
\(370\) | 2.24785 | − | 0.00764623i | 0.116860 | − | 0.000397508i | ||||
\(371\) | 12.3792 | + | 2.46237i | 0.642696 | + | 0.127840i | ||||
\(372\) | 3.01204 | − | 18.6451i | 0.156167 | − | 0.966702i | ||||
\(373\) | 14.3856 | + | 9.61213i | 0.744857 | + | 0.497697i | 0.869150 | − | 0.494548i | \(-0.164666\pi\) |
−0.124293 | + | 0.992246i | \(0.539666\pi\) | |||||||
\(374\) | −11.8989 | + | 8.26582i | −0.615276 | + | 0.427416i | ||||
\(375\) | −10.4001 | − | 28.6135i | −0.537059 | − | 1.47759i | ||||
\(376\) | 6.43723 | − | 3.08559i | 0.331975 | − | 0.159127i | ||||
\(377\) | −28.2866 | + | 11.7167i | −1.45683 | + | 0.603441i | ||||
\(378\) | −10.2522 | − | 6.58517i | −0.527317 | − | 0.338705i | ||||
\(379\) | 0.340573 | − | 0.0677442i | 0.0174941 | − | 0.00347978i | −0.186336 | − | 0.982486i | \(-0.559661\pi\) |
0.203830 | + | 0.979006i | \(0.434661\pi\) | |||||||
\(380\) | 12.7732 | − | 0.274603i | 0.655249 | − | 0.0140868i | ||||
\(381\) | 40.7290 | − | 27.2142i | 2.08661 | − | 1.39423i | ||||
\(382\) | −8.46960 | − | 19.4447i | −0.433342 | − | 0.994877i | ||||
\(383\) | 16.7280i | 0.854759i | 0.904072 | + | 0.427379i | \(0.140563\pi\) | ||||
−0.904072 | + | 0.427379i | \(0.859437\pi\) | |||||||
\(384\) | −29.2149 | + | 9.77902i | −1.49087 | + | 0.499034i | ||||
\(385\) | 22.2729 | + | 22.9372i | 1.13513 | + | 1.16899i | ||||
\(386\) | 28.9967 | − | 12.6302i | 1.47589 | − | 0.642860i | ||||
\(387\) | 15.2779 | + | 22.8650i | 0.776620 | + | 1.16229i | ||||
\(388\) | 14.1130 | − | 15.1733i | 0.716480 | − | 0.770306i | ||||
\(389\) | 12.7383 | − | 2.53380i | 0.645855 | − | 0.128469i | 0.138715 | − | 0.990332i | \(-0.455703\pi\) |
0.507140 | + | 0.861864i | \(0.330703\pi\) | |||||||
\(390\) | 26.7210 | − | 5.40970i | 1.35307 | − | 0.273931i | ||||
\(391\) | 0.280141 | + | 0.676321i | 0.0141674 | + | 0.0342030i | ||||
\(392\) | 5.10349 | − | 2.44629i | 0.257765 | − | 0.123556i | ||||
\(393\) | 17.8108 | + | 7.37747i | 0.898436 | + | 0.372144i | ||||
\(394\) | −12.5010 | + | 8.68415i | −0.629794 | + | 0.437501i | ||||
\(395\) | −5.20851 | − | 28.3561i | −0.262069 | − | 1.42675i | ||||
\(396\) | 55.7467 | + | 9.00566i | 2.80138 | + | 0.452551i | ||||
\(397\) | 4.77696 | − | 24.0154i | 0.239749 | − | 1.20530i | −0.653918 | − | 0.756566i | \(-0.726876\pi\) |
0.893666 | − | 0.448732i | \(-0.148124\pi\) | |||||||
\(398\) | −10.1348 | + | 10.5084i | −0.508012 | + | 0.526737i | ||||
\(399\) | 12.2991 | − | 12.2991i | 0.615725 | − | 0.615725i | ||||
\(400\) | −18.1316 | + | 8.44071i | −0.906579 | + | 0.422035i | ||||
\(401\) | 12.0241 | + | 12.0241i | 0.600454 | + | 0.600454i | 0.940433 | − | 0.339979i | \(-0.110420\pi\) |
−0.339979 | + | 0.940433i | \(0.610420\pi\) | |||||||
\(402\) | 26.9802 | − | 0.488221i | 1.34565 | − | 0.0243502i | ||||
\(403\) | 10.7686 | + | 2.14200i | 0.536421 | + | 0.106701i | ||||
\(404\) | 7.14971 | + | 4.41172i | 0.355711 | + | 0.219491i | ||||
\(405\) | 6.05214 | − | 1.11167i | 0.300733 | − | 0.0552395i | ||||
\(406\) | 5.42189 | − | 30.0935i | 0.269084 | − | 1.49351i | ||||
\(407\) | −1.73959 | + | 4.19975i | −0.0862285 | + | 0.208174i | ||||
\(408\) | −10.6160 | − | 6.28826i | −0.525569 | − | 0.311315i | ||||
\(409\) | −2.28021 | + | 0.944493i | −0.112749 | + | 0.0467022i | −0.438345 | − | 0.898807i | \(-0.644435\pi\) |
0.325596 | + | 0.945509i | \(0.394435\pi\) | |||||||
\(410\) | 24.5079 | + | 16.2554i | 1.21036 | + | 0.802795i | ||||
\(411\) | −2.39296 | − | 12.0302i | −0.118036 | − | 0.593408i | ||||
\(412\) | 10.8834 | + | 4.05326i | 0.536187 | + | 0.199690i | ||||
\(413\) | −6.23007 | + | 4.16280i | −0.306562 | + | 0.204838i | ||||
\(414\) | 1.04401 | − | 2.65537i | 0.0513105 | − | 0.130504i | ||||
\(415\) | −3.65263 | + | 3.54685i | −0.179301 | + | 0.174108i | ||||
\(416\) | −5.06670 | − | 17.1782i | −0.248416 | − | 0.842229i | ||||
\(417\) | −35.3013 | −1.72871 | ||||||||
\(418\) | −9.45377 | + | 24.0449i | −0.462399 | + | 1.17608i | ||||
\(419\) | 10.7501 | + | 16.0886i | 0.525174 | + | 0.785979i | 0.995322 | − | 0.0966086i | \(-0.0307995\pi\) |
−0.470148 | + | 0.882588i | \(0.655800\pi\) | |||||||
\(420\) | −9.87670 | + | 25.3737i | −0.481934 | + | 1.23811i | ||||
\(421\) | −0.814178 | − | 4.09315i | −0.0396806 | − | 0.199488i | 0.955860 | − | 0.293823i | \(-0.0949276\pi\) |
−0.995541 | + | 0.0943349i | \(0.969928\pi\) | |||||||
\(422\) | −33.9867 | + | 7.40203i | −1.65445 | + | 0.360325i | ||||
\(423\) | −4.26432 | − | 10.2950i | −0.207338 | − | 0.500559i | ||||
\(424\) | −9.57791 | − | 12.7751i | −0.465145 | − | 0.620415i | ||||
\(425\) | −7.30699 | − | 3.28138i | −0.354441 | − | 0.159170i | ||||
\(426\) | −26.0780 | − | 4.69843i | −1.26348 | − | 0.227640i | ||||
\(427\) | −18.4118 | + | 27.5552i | −0.891009 | + | 1.33349i | ||||
\(428\) | −7.54431 | − | 31.8566i | −0.364668 | − | 1.53985i | ||||
\(429\) | −10.7560 | + | 54.0739i | −0.519303 | + | 2.61071i | ||||
\(430\) | 13.8798 | − | 13.9745i | 0.669342 | − | 0.673911i | ||||
\(431\) | 16.2590 | + | 16.2590i | 0.783169 | + | 0.783169i | 0.980364 | − | 0.197195i | \(-0.0631833\pi\) |
−0.197195 | + | 0.980364i | \(0.563183\pi\) | |||||||
\(432\) | 4.09251 | + | 14.8611i | 0.196901 | + | 0.715004i | ||||
\(433\) | 7.56914 | + | 7.56914i | 0.363750 | + | 0.363750i | 0.865191 | − | 0.501442i | \(-0.167197\pi\) |
−0.501442 | + | 0.865191i | \(0.667197\pi\) | |||||||
\(434\) | −7.61221 | + | 7.89278i | −0.365398 | + | 0.378866i | ||||
\(435\) | −31.9912 | − | 49.4353i | −1.53386 | − | 2.37024i | ||||
\(436\) | 1.77727 | + | 2.46212i | 0.0851156 | + | 0.117914i | ||||
\(437\) | 1.08544 | + | 0.725270i | 0.0519238 | + | 0.0346944i | ||||
\(438\) | −14.6658 | + | 10.1879i | −0.700757 | + | 0.486797i | ||||
\(439\) | −0.303189 | + | 0.731963i | −0.0144704 | + | 0.0349347i | −0.930950 | − | 0.365148i | \(-0.881018\pi\) |
0.916479 | + | 0.400082i | \(0.131018\pi\) | |||||||
\(440\) | −1.60076 | − | 40.4136i | −0.0763131 | − | 1.92664i | ||||
\(441\) | −3.38079 | − | 8.16196i | −0.160990 | − | 0.388665i | ||||
\(442\) | 3.87646 | − | 6.03513i | 0.184385 | − | 0.287062i | ||||
\(443\) | −6.41866 | − | 32.2688i | −0.304960 | − | 1.53314i | −0.764291 | − | 0.644871i | \(-0.776911\pi\) |
0.459331 | − | 0.888265i | \(-0.348089\pi\) | |||||||
\(444\) | −3.86880 | + | 0.140062i | −0.183605 | + | 0.00664705i | ||||
\(445\) | −2.52413 | + | 11.7823i | −0.119655 | + | 0.558533i | ||||
\(446\) | 6.45799 | + | 14.8264i | 0.305795 | + | 0.702050i | ||||
\(447\) | − | 12.2678i | − | 0.580249i | ||||||
\(448\) | 17.1697 | + | 5.01422i | 0.811191 | + | 0.236900i | ||||
\(449\) | 14.7605 | 0.696589 | 0.348295 | − | 0.937385i | \(-0.386761\pi\) | ||||
0.348295 | + | 0.937385i | \(0.386761\pi\) | |||||||
\(450\) | 11.6209 | + | 28.9764i | 0.547815 | + | 1.36596i | ||||
\(451\) | −49.4493 | + | 33.0410i | −2.32848 | + | 1.55584i | ||||
\(452\) | −14.0890 | + | 0.510063i | −0.662690 | + | 0.0239913i | ||||
\(453\) | 1.54699 | + | 7.77725i | 0.0726840 | + | 0.365407i | ||||
\(454\) | 16.9747 | + | 10.9031i | 0.796662 | + | 0.511709i | ||||
\(455\) | −14.5332 | − | 6.27157i | −0.681329 | − | 0.294016i | ||||
\(456\) | −21.9709 | + | 1.19377i | −1.02888 | + | 0.0559035i | ||||
\(457\) | −27.6627 | − | 11.4583i | −1.29401 | − | 0.535995i | −0.373829 | − | 0.927497i | \(-0.621955\pi\) |
−0.920177 | + | 0.391502i | \(0.871955\pi\) | |||||||
\(458\) | −0.178901 | + | 0.124277i | −0.00835947 | + | 0.00580711i | ||||
\(459\) | −3.42976 | + | 5.13299i | −0.160087 | + | 0.239588i | ||||
\(460\) | −2.01242 | − | 0.355511i | −0.0938296 | − | 0.0165758i | ||||
\(461\) | −0.858057 | − | 0.170678i | −0.0399637 | − | 0.00794927i | 0.175068 | − | 0.984556i | \(-0.443985\pi\) |
−0.215032 | + | 0.976607i | \(0.568985\pi\) | |||||||
\(462\) | −39.6332 | − | 38.2243i | −1.84390 | − | 1.77836i | ||||
\(463\) | −6.21428 | − | 6.21428i | −0.288802 | − | 0.288802i | 0.547804 | − | 0.836606i | \(-0.315464\pi\) |
−0.836606 | + | 0.547804i | \(0.815464\pi\) | |||||||
\(464\) | −30.5248 | + | 23.7601i | −1.41708 | + | 1.10303i | ||||
\(465\) | −0.310227 | + | 21.1138i | −0.0143864 | + | 0.979129i | ||||
\(466\) | −34.3237 | + | 0.621106i | −1.59001 | + | 0.0287722i | ||||
\(467\) | 7.10583 | + | 1.41344i | 0.328819 | + | 0.0654061i | 0.356739 | − | 0.934204i | \(-0.383888\pi\) |
−0.0279204 | + | 0.999610i | \(0.508888\pi\) | |||||||
\(468\) | −27.2046 | + | 6.44261i | −1.25753 | + | 0.297810i | ||||
\(469\) | −13.0266 | − | 8.70410i | −0.601513 | − | 0.401918i | ||||
\(470\) | −6.62095 | + | 4.45663i | −0.305402 | + | 0.205569i | ||||
\(471\) | 32.3973 | + | 13.4194i | 1.49279 | + | 0.618334i | ||||
\(472\) | 9.38317 | + | 1.34210i | 0.431895 | + | 0.0617750i | ||||
\(473\) | 15.2425 | + | 36.7987i | 0.700852 | + | 1.69201i | ||||
\(474\) | 10.5662 | + | 48.5153i | 0.485323 | + | 2.22838i | ||||
\(475\) | −14.0855 | + | 2.37389i | −0.646286 | + | 0.108922i | ||||
\(476\) | 2.97907 | + | 6.51484i | 0.136545 | + | 0.298607i | ||||
\(477\) | −20.7236 | + | 13.8471i | −0.948871 | + | 0.634015i | ||||
\(478\) | 4.25079 | − | 10.8116i | 0.194427 | − | 0.494509i | ||||
\(479\) | 20.6017i | 0.941317i | 0.882316 | + | 0.470658i | \(0.155984\pi\) | ||||
−0.882316 | + | 0.470658i | \(0.844016\pi\) | |||||||
\(480\) | 30.7334 | − | 15.5526i | 1.40278 | − | 0.709876i | ||||
\(481\) | − | 2.25054i | − | 0.102616i | ||||||
\(482\) | 37.1071 | + | 14.5894i | 1.69018 | + | 0.664530i | ||||
\(483\) | −2.31328 | + | 1.54568i | −0.105258 | + | 0.0703310i | ||||
\(484\) | 56.0313 | + | 20.8675i | 2.54688 | + | 0.948522i | ||||
\(485\) | −13.1531 | + | 19.0723i | −0.597250 | + | 0.866029i | ||||
\(486\) | −26.3296 | + | 5.73438i | −1.19434 | + | 0.260117i | ||||
\(487\) | 0.841211 | + | 2.03086i | 0.0381189 | + | 0.0920271i | 0.941792 | − | 0.336195i | \(-0.109140\pi\) |
−0.903674 | + | 0.428222i | \(0.859140\pi\) | |||||||
\(488\) | 40.6137 | − | 10.3976i | 1.83850 | − | 0.470679i | ||||
\(489\) | −23.9358 | − | 9.91452i | −1.08241 | − | 0.448350i | ||||
\(490\) | −5.24915 | + | 3.53326i | −0.237132 | + | 0.159616i | ||||
\(491\) | 28.9917 | + | 19.3717i | 1.30838 | + | 0.874231i | 0.997101 | − | 0.0760879i | \(-0.0242429\pi\) |
0.311278 | + | 0.950319i | \(0.399243\pi\) | |||||||
\(492\) | −43.1032 | − | 26.5968i | −1.94324 | − | 1.19908i | ||||
\(493\) | −15.1944 | − | 3.02236i | −0.684323 | − | 0.136120i | ||||
\(494\) | −0.231428 | − | 12.7892i | −0.0104124 | − | 0.575413i | ||||
\(495\) | −63.1279 | − | 0.927544i | −2.83739 | − | 0.0416900i | ||||
\(496\) | 13.8353 | − | 1.00308i | 0.621225 | − | 0.0450394i | ||||
\(497\) | 10.8784 | + | 10.8784i | 0.487963 | + | 0.487963i | ||||
\(498\) | 6.08704 | − | 6.31140i | 0.272767 | − | 0.282821i | ||||
\(499\) | 13.6066 | + | 2.70652i | 0.609116 | + | 0.121161i | 0.490004 | − | 0.871720i | \(-0.336995\pi\) |
0.119112 | + | 0.992881i | \(0.461995\pi\) | |||||||
\(500\) | 18.6896 | − | 12.2759i | 0.835827 | − | 0.548994i | ||||
\(501\) | −30.0676 | + | 44.9993i | −1.34332 | + | 2.01042i | ||||
\(502\) | −5.61274 | − | 8.07968i | −0.250509 | − | 0.360614i | ||||
\(503\) | 25.2916 | + | 10.4761i | 1.12770 | + | 0.467107i | 0.866997 | − | 0.498314i | \(-0.166047\pi\) |
0.260698 | + | 0.965420i | \(0.416047\pi\) | |||||||
\(504\) | 9.26974 | − | 26.3376i | 0.412907 | − | 1.17317i | ||||
\(505\) | −8.62418 | − | 3.72162i | −0.383771 | − | 0.165610i | ||||
\(506\) | 2.23344 | − | 3.47716i | 0.0992884 | − | 0.154579i | ||||
\(507\) | 1.58110 | + | 7.94874i | 0.0702193 | + | 0.353016i | ||||
\(508\) | 26.3434 | + | 24.5027i | 1.16880 | + | 1.08713i | ||||
\(509\) | 15.3172 | − | 10.2346i | 0.678921 | − | 0.453641i | −0.167699 | − | 0.985838i | \(-0.553634\pi\) |
0.846620 | + | 0.532197i | \(0.178634\pi\) | |||||||
\(510\) | 12.7628 | + | 5.23572i | 0.565145 | + | 0.231842i | ||||
\(511\) | 10.3677 | 0.458639 | ||||||||
\(512\) | −11.9338 | − | 19.2246i | −0.527403 | − | 0.849615i | ||||
\(513\) | 11.0090i | 0.486059i | ||||||||
\(514\) | 8.61190 | − | 3.75112i | 0.379855 | − | 0.165455i | ||||
\(515\) | −12.6964 | − | 2.71997i | −0.559470 | − | 0.119856i | ||||
\(516\) | −23.1023 | + | 24.8379i | −1.01702 | + | 1.09343i | ||||
\(517\) | −3.14875 | − | 15.8298i | −0.138482 | − | 0.696195i | ||||
\(518\) | 1.89115 | + | 1.21471i | 0.0830922 | + | 0.0533715i | ||||
\(519\) | −14.7726 | − | 35.6641i | −0.648444 | − | 1.56548i | ||||
\(520\) | 8.38894 | + | 18.1818i | 0.367879 | + | 0.797324i | ||||
\(521\) | −11.8784 | + | 28.6771i | −0.520404 | + | 1.25637i | 0.417249 | + | 0.908792i | \(0.362994\pi\) |
−0.937653 | + | 0.347574i | \(0.887006\pi\) | |||||||
\(522\) | 34.4495 | + | 49.5910i | 1.50782 | + | 2.17054i | ||||
\(523\) | 19.4756 | + | 13.0132i | 0.851607 | + | 0.569026i | 0.902994 | − | 0.429653i | \(-0.141364\pi\) |
−0.0513870 | + | 0.998679i | \(0.516364\pi\) | |||||||
\(524\) | −2.25808 | + | 13.9780i | −0.0986448 | + | 0.610630i | ||||
\(525\) | 6.81359 | − | 29.6698i | 0.297369 | − | 1.29490i | ||||
\(526\) | 3.52024 | + | 3.39510i | 0.153490 | + | 0.148034i | ||||
\(527\) | 3.92838 | + | 3.92838i | 0.171123 | + | 0.171123i | ||||
\(528\) | 5.03689 | + | 69.4735i | 0.219203 | + | 3.02345i | ||||
\(529\) | 16.1158 | + | 16.1158i | 0.700687 | + | 0.700687i | ||||
\(530\) | 12.6658 | + | 12.5799i | 0.550166 | + | 0.546435i | ||||
\(531\) | 2.88658 | − | 14.5118i | 0.125267 | − | 0.629759i | ||||
\(532\) | 10.8718 | + | 6.70842i | 0.471351 | + | 0.290847i | ||||
\(533\) | 16.3580 | − | 24.4815i | 0.708546 | − | 1.06041i | ||||
\(534\) | 3.67964 | − | 20.4233i | 0.159233 | − | 0.883804i | ||||
\(535\) | 13.5086 | + | 34.0179i | 0.584029 | + | 1.47072i | ||||
\(536\) | 4.91544 | + | 19.1999i | 0.212315 | + | 0.829311i | ||||
\(537\) | −8.57814 | − | 20.7095i | −0.370174 | − | 0.893680i | ||||
\(538\) | 0.0171411 | + | 0.0787042i | 0.000739007 | + | 0.00339318i | ||||
\(539\) | −2.49636 | − | 12.5500i | −0.107526 | − | 0.540568i | ||||
\(540\) | −6.93574 | − | 15.7764i | −0.298467 | − | 0.678910i | ||||
\(541\) | −4.48562 | − | 6.71321i | −0.192852 | − | 0.288623i | 0.722424 | − | 0.691450i | \(-0.243028\pi\) |
−0.915276 | + | 0.402827i | \(0.868028\pi\) | |||||||
\(542\) | 5.35670 | + | 2.10610i | 0.230090 | + | 0.0904648i | ||||
\(543\) | 2.36509 | 0.101496 | ||||||||
\(544\) | 2.69739 | − | 8.65149i | 0.115649 | − | 0.370930i | ||||
\(545\) | −2.36509 | − | 2.43563i | −0.101309 | − | 0.104331i | ||||
\(546\) | 25.3701 | + | 9.97480i | 1.08574 | + | 0.426882i | ||||
\(547\) | −25.7673 | + | 17.2172i | −1.10173 | + | 0.736153i | −0.967012 | − | 0.254730i | \(-0.918013\pi\) |
−0.134719 | + | 0.990884i | \(0.543013\pi\) | |||||||
\(548\) | 8.19293 | − | 3.74641i | 0.349985 | − | 0.160039i | ||||
\(549\) | −12.7672 | − | 64.1849i | −0.544889 | − | 2.73934i | ||||
\(550\) | 8.32053 | + | 44.4471i | 0.354789 | + | 1.89523i | ||||
\(551\) | −25.5240 | + | 10.5724i | −1.08736 | + | 0.450399i | ||||
\(552\) | 3.48405 | + | 0.498332i | 0.148291 | + | 0.0212104i | ||||
\(553\) | 11.0319 | − | 26.6334i | 0.469124 | − | 1.13257i | ||||
\(554\) | −20.2595 | − | 3.65012i | −0.860743 | − | 0.155079i | ||||
\(555\) | 4.25707 | − | 0.781948i | 0.180702 | − | 0.0331918i | ||||
\(556\) | −5.97490 | − | 25.2296i | −0.253392 | − | 1.06997i | ||||
\(557\) | 6.84556 | + | 1.36167i | 0.290056 | + | 0.0576957i | 0.337974 | − | 0.941156i | \(-0.390259\pi\) |
−0.0479177 | + | 0.998851i | \(0.515259\pi\) | |||||||
\(558\) | −0.391769 | − | 21.6500i | −0.0165849 | − | 0.916518i | ||||
\(559\) | −13.9438 | − | 13.9438i | −0.589759 | − | 0.589759i | ||||
\(560\) | −19.8062 | − | 2.76421i | −0.836963 | − | 0.116809i | ||||
\(561\) | −19.7262 | + | 19.7262i | −0.832841 | + | 0.832841i | ||||
\(562\) | 12.2504 | + | 11.8149i | 0.516753 | + | 0.498383i | ||||
\(563\) | 1.18300 | − | 5.94733i | 0.0498574 | − | 0.250650i | −0.947817 | − | 0.318816i | \(-0.896715\pi\) |
0.997674 | + | 0.0681661i | \(0.0217148\pi\) | |||||||
\(564\) | 11.1450 | − | 8.04497i | 0.469291 | − | 0.338755i | ||||
\(565\) | 15.5029 | − | 2.84762i | 0.652213 | − | 0.119800i | ||||
\(566\) | −19.5063 | − | 28.0798i | −0.819910 | − | 1.18028i | ||||
\(567\) | 5.68446 | + | 2.35458i | 0.238725 | + | 0.0988831i | ||||
\(568\) | −1.05588 | − | 19.4330i | −0.0443036 | − | 0.815392i | ||||
\(569\) | 12.5152 | + | 30.2144i | 0.524664 | + | 1.26665i | 0.934977 | + | 0.354707i | \(0.115419\pi\) |
−0.410313 | + | 0.911945i | \(0.634581\pi\) | |||||||
\(570\) | 24.1113 | − | 4.88136i | 1.00991 | − | 0.204458i | ||||
\(571\) | 26.6055 | − | 5.29217i | 1.11341 | − | 0.221470i | 0.396086 | − | 0.918214i | \(-0.370368\pi\) |
0.717321 | + | 0.696743i | \(0.245368\pi\) | |||||||
\(572\) | −40.4668 | + | 1.46502i | −1.69200 | + | 0.0612555i | ||||
\(573\) | −22.6886 | − | 33.9559i | −0.947831 | − | 1.41853i | ||||
\(574\) | 11.7429 | + | 26.9596i | 0.490138 | + | 1.12527i | ||||
\(575\) | 2.28381 | + | 0.0671268i | 0.0952414 | + | 0.00279938i | ||||
\(576\) | −30.9759 | + | 16.9730i | −1.29066 | + | 0.707207i | ||||
\(577\) | − | 4.88434i | − | 0.203338i | −0.994818 | − | 0.101669i | \(-0.967582\pi\) | ||
0.994818 | − | 0.101669i | \(-0.0324182\pi\) | |||||||
\(578\) | −18.7140 | + | 8.15134i | −0.778400 | + | 0.339051i | ||||
\(579\) | 50.6364 | − | 33.8342i | 2.10438 | − | 1.40610i | ||||
\(580\) | 29.9165 | − | 31.2311i | 1.24222 | − | 1.29680i | ||||
\(581\) | −4.99305 | + | 0.993180i | −0.207147 | + | 0.0412041i | ||||
\(582\) | 21.5637 | − | 33.5717i | 0.893843 | − | 1.39159i | ||||
\(583\) | −33.3524 | + | 13.8150i | −1.38131 | + | 0.572159i | ||||
\(584\) | −9.76349 | − | 8.75719i | −0.404016 | − | 0.362375i | ||||
\(585\) | 29.0503 | − | 11.5360i | 1.20108 | − | 0.476954i | ||||
\(586\) | 11.7193 | + | 16.8703i | 0.484122 | + | 0.696905i | ||||
\(587\) | 21.6936 | + | 14.4952i | 0.895391 | + | 0.598281i | 0.915855 | − | 0.401509i | \(-0.131514\pi\) |
−0.0204637 | + | 0.999791i | \(0.506514\pi\) | |||||||
\(588\) | 8.83590 | − | 6.37813i | 0.364386 | − | 0.263030i | ||||
\(589\) | 9.71686 | + | 1.93280i | 0.400376 | + | 0.0796398i | ||||
\(590\) | −10.5974 | + | 0.0360478i | −0.436288 | + | 0.00148406i | ||||
\(591\) | −20.7245 | + | 20.7245i | −0.852492 | + | 0.852492i | ||||
\(592\) | −0.754914 | − | 2.74131i | −0.0310268 | − | 0.112667i | ||||
\(593\) | 12.5659 | − | 12.5659i | 0.516020 | − | 0.516020i | −0.400344 | − | 0.916365i | \(-0.631109\pi\) |
0.916365 | + | 0.400344i | \(0.131109\pi\) | |||||||
\(594\) | 34.8454 | − | 0.630546i | 1.42972 | − | 0.0258716i | ||||
\(595\) | −4.35136 | − | 6.72407i | −0.178389 | − | 0.275660i | ||||
\(596\) | 8.76777 | − | 2.07639i | 0.359142 | − | 0.0850522i | ||||
\(597\) | −15.6177 | + | 23.3735i | −0.639189 | + | 0.956614i | ||||
\(598\) | −0.362785 | + | 2.01359i | −0.0148354 | + | 0.0823418i | ||||
\(599\) | −41.6757 | − | 17.2626i | −1.70282 | − | 0.705333i | −0.702842 | − | 0.711346i | \(-0.748086\pi\) |
−0.999982 | + | 0.00601329i | \(0.998086\pi\) | |||||||
\(600\) | −31.4775 | + | 22.1856i | −1.28506 | + | 0.905722i | ||||
\(601\) | −26.8940 | + | 11.1398i | −1.09703 | + | 0.454404i | −0.856452 | − | 0.516227i | \(-0.827336\pi\) |
−0.240575 | + | 0.970630i | \(0.577336\pi\) | |||||||
\(602\) | 19.2431 | − | 4.19100i | 0.784291 | − | 0.170812i | ||||
\(603\) | 30.3431 | − | 6.03562i | 1.23567 | − | 0.245790i | ||||
\(604\) | −5.29653 | + | 2.42196i | −0.215513 | + | 0.0985483i | ||||
\(605\) | −65.3651 | − | 14.0033i | −2.65747 | − | 0.569314i | ||||
\(606\) | 15.0549 | + | 5.91915i | 0.611564 | + | 0.240449i | ||||
\(607\) | 28.7320 | 1.16620 | 0.583099 | − | 0.812401i | \(-0.301840\pi\) | ||||
0.583099 | + | 0.812401i | \(0.301840\pi\) | |||||||
\(608\) | −4.57186 | − | 15.5005i | −0.185414 | − | 0.628627i | ||||
\(609\) | − | 58.8782i | − | 2.38586i | ||||||
\(610\) | −43.2428 | + | 18.0843i | −1.75085 | + | 0.732212i | ||||
\(611\) | 4.43935 | + | 6.64396i | 0.179597 | + | 0.268786i | ||||
\(612\) | −13.2566 | − | 4.93709i | −0.535866 | − | 0.199570i | ||||
\(613\) | 43.9048 | − | 8.73320i | 1.77330 | − | 0.352731i | 0.803249 | − | 0.595644i | \(-0.203103\pi\) |
0.970048 | + | 0.242913i | \(0.0781031\pi\) | |||||||
\(614\) | 22.6319 | − | 4.92904i | 0.913348 | − | 0.198920i | ||||
\(615\) | 51.9923 | + | 22.4364i | 2.09653 | + | 0.904722i | ||||
\(616\) | 20.6106 | − | 34.7953i | 0.830426 | − | 1.40194i | ||||
\(617\) | 12.3416 | − | 29.7954i | 0.496856 | − | 1.19952i | −0.454312 | − | 0.890843i | \(-0.650115\pi\) |
0.951168 | − | 0.308674i | \(-0.0998852\pi\) | |||||||
\(618\) | 22.0079 | + | 3.96512i | 0.885286 | + | 0.159501i | ||||
\(619\) | −10.4060 | − | 6.95304i | −0.418251 | − | 0.279466i | 0.328586 | − | 0.944474i | \(-0.393428\pi\) |
−0.746836 | + | 0.665008i | \(0.768428\pi\) | |||||||
\(620\) | −15.1424 | + | 3.35189i | −0.608135 | + | 0.134615i | ||||
\(621\) | 0.343539 | − | 1.72709i | 0.0137858 | − | 0.0693057i | ||||
\(622\) | 6.26389 | − | 0.113349i | 0.251159 | − | 0.00454486i | ||||
\(623\) | −8.51956 | + | 8.51956i | −0.341329 | + | 0.341329i | ||||
\(624\) | −15.4663 | − | 30.8227i | −0.619149 | − | 1.23390i | ||||
\(625\) | −18.6854 | + | 16.6089i | −0.747417 | + | 0.664355i | ||||
\(626\) | 17.8424 | + | 17.2081i | 0.713124 | + | 0.687774i | ||||
\(627\) | −9.70548 | + | 48.7927i | −0.387600 | + | 1.94859i | ||||
\(628\) | −4.10739 | + | 25.4255i | −0.163903 | + | 1.01459i | ||||
\(629\) | 0.632660 | − | 0.946843i | 0.0252258 | − | 0.0377531i | ||||
\(630\) | −5.98594 | + | 30.6376i | −0.238486 | + | 1.22063i | ||||
\(631\) | 15.0824 | − | 36.4122i | 0.600421 | − | 1.44955i | −0.272727 | − | 0.962091i | \(-0.587926\pi\) |
0.873149 | − | 0.487454i | \(-0.162074\pi\) | |||||||
\(632\) | −32.8852 | + | 15.7631i | −1.30810 | + | 0.627021i | ||||
\(633\) | −61.8775 | + | 25.6305i | −2.45941 | + | 1.01872i | ||||
\(634\) | 15.6332 | − | 24.3387i | 0.620873 | − | 0.966614i | ||||
\(635\) | −33.1129 | − | 22.8360i | −1.31404 | − | 0.906220i | ||||
\(636\) | −22.5118 | − | 20.9387i | −0.892650 | − | 0.830275i | ||||
\(637\) | 3.51956 | + | 5.26739i | 0.139450 | + | 0.208702i | ||||
\(638\) | 34.9254 | + | 80.1824i | 1.38271 | + | 3.17445i | ||||
\(639\) | −30.3796 | −1.20180 | ||||||||
\(640\) | 16.3171 | + | 19.3326i | 0.644991 | + | 0.764190i | ||||
\(641\) | 13.0253 | 0.514466 | 0.257233 | − | 0.966349i | \(-0.417189\pi\) | ||||
0.257233 | + | 0.966349i | \(0.417189\pi\) | |||||||
\(642\) | −25.1729 | − | 57.7924i | −0.993494 | − | 2.28089i | ||||
\(643\) | −11.1796 | − | 16.7315i | −0.440881 | − | 0.659825i | 0.542776 | − | 0.839878i | \(-0.317373\pi\) |
−0.983657 | + | 0.180052i | \(0.942373\pi\) | |||||||
\(644\) | −1.49622 | − | 1.39167i | −0.0589595 | − | 0.0548396i | ||||
\(645\) | 21.5310 | − | 31.2205i | 0.847780 | − | 1.22930i | ||||
\(646\) | 3.49787 | − | 5.44571i | 0.137622 | − | 0.214258i | ||||
\(647\) | 31.5278 | − | 13.0593i | 1.23949 | − | 0.513412i | 0.335932 | − | 0.941886i | \(-0.390949\pi\) |
0.903554 | + | 0.428474i | \(0.140949\pi\) | |||||||
\(648\) | −3.36437 | − | 7.01882i | −0.132165 | − | 0.275725i | ||||
\(649\) | 8.20124 | − | 19.7995i | 0.321927 | − | 0.777200i | ||||
\(650\) | −12.2267 | − | 18.7536i | −0.479572 | − | 0.735575i | ||||
\(651\) | −11.7304 | + | 17.5557i | −0.459749 | + | 0.688063i | ||||
\(652\) | 3.03462 | − | 18.7849i | 0.118845 | − | 0.735672i | ||||
\(653\) | −1.84014 | + | 9.25098i | −0.0720101 | + | 0.362019i | −0.999942 | − | 0.0107296i | \(-0.996585\pi\) |
0.927932 | + | 0.372749i | \(0.121585\pi\) | |||||||
\(654\) | 4.20853 | + | 4.05892i | 0.164566 | + | 0.158716i | ||||
\(655\) | 0.232573 | − | 15.8287i | 0.00908737 | − | 0.618479i | ||||
\(656\) | 11.7132 | − | 35.3072i | 0.457323 | − | 1.37852i | ||||
\(657\) | −14.4766 | + | 14.4766i | −0.564788 | + | 0.564788i | ||||
\(658\) | −7.97908 | + | 0.144386i | −0.311057 | + | 0.00562875i | ||||
\(659\) | 5.73319 | − | 28.8227i | 0.223333 | − | 1.12277i | −0.692563 | − | 0.721358i | \(-0.743518\pi\) |
0.915896 | − | 0.401415i | \(-0.131482\pi\) | |||||||
\(660\) | −16.8314 | − | 76.0370i | −0.655160 | − | 2.95974i | ||||
\(661\) | 19.2760 | + | 12.8798i | 0.749751 | + | 0.500968i | 0.870775 | − | 0.491682i | \(-0.163618\pi\) |
−0.121024 | + | 0.992650i | \(0.538618\pi\) | |||||||
\(662\) | −9.45555 | − | 1.70359i | −0.367501 | − | 0.0662120i | ||||
\(663\) | 5.28538 | − | 12.7600i | 0.205267 | − | 0.495559i | ||||
\(664\) | 5.54098 | + | 3.28214i | 0.215032 | + | 0.127372i | ||||
\(665\) | −13.1139 | − | 5.65906i | −0.508533 | − | 0.219449i | ||||
\(666\) | −4.33679 | + | 0.944517i | −0.168047 | + | 0.0365993i | ||||
\(667\) | 4.33412 | − | 0.862110i | 0.167818 | − | 0.0333810i | ||||
\(668\) | −37.2499 | − | 13.8728i | −1.44124 | − | 0.536755i | ||||
\(669\) | 17.2999 | + | 25.8911i | 0.668851 | + | 1.00101i | ||||
\(670\) | −8.54928 | − | 20.4428i | −0.330288 | − | 0.789775i | ||||
\(671\) | − | 94.7874i | − | 3.65923i | ||||||
\(672\) | 34.2484 | + | 3.63989i | 1.32116 | + | 0.140412i | ||||
\(673\) | 22.2492 | 0.857643 | 0.428821 | − | 0.903389i | \(-0.358929\pi\) | ||||
0.428821 | + | 0.903389i | \(0.358929\pi\) | |||||||
\(674\) | 7.50056 | + | 2.94900i | 0.288911 | + | 0.113591i | ||||
\(675\) | 10.2293 | + | 16.3282i | 0.393728 | + | 0.628474i | ||||
\(676\) | −5.41332 | + | 2.47537i | −0.208204 | + | 0.0952064i | ||||
\(677\) | −36.0637 | + | 7.17351i | −1.38604 | + | 0.275700i | −0.831069 | − | 0.556170i | \(-0.812271\pi\) |
−0.554971 | + | 0.831870i | \(0.687271\pi\) | |||||||
\(678\) | −26.5244 | + | 5.77681i | −1.01866 | + | 0.221857i | ||||
\(679\) | −21.4024 | + | 8.86518i | −0.821350 | + | 0.340214i | ||||
\(680\) | −1.58179 | + | 10.0077i | −0.0606588 | + | 0.383776i | ||||
\(681\) | 35.8895 | + | 14.8659i | 1.37529 | + | 0.569664i | ||||
\(682\) | 5.56112 | − | 30.8663i | 0.212946 | − | 1.18193i | ||||
\(683\) | −13.9098 | + | 20.8175i | −0.532244 | + | 0.796560i | −0.995995 | − | 0.0894057i | \(-0.971503\pi\) |
0.463751 | + | 0.885966i | \(0.346503\pi\) | |||||||
\(684\) | −24.5477 | + | 5.81340i | −0.938604 | + | 0.222281i | ||||
\(685\) | −8.45605 | + | 5.47218i | −0.323089 | + | 0.209081i | ||||
\(686\) | −28.4561 | + | 0.514929i | −1.08646 | + | 0.0196601i | ||||
\(687\) | −0.296585 | + | 0.296585i | −0.0113154 | + | 0.0113154i | ||||
\(688\) | −21.6617 | − | 12.3072i | −0.825845 | − | 0.469207i | ||||
\(689\) | 12.6379 | − | 12.6379i | 0.481466 | − | 0.481466i | ||||
\(690\) | −3.93491 | + | 0.0133848i | −0.149799 | + | 0.000509553i | ||||
\(691\) | −2.61557 | − | 0.520269i | −0.0995010 | − | 0.0197920i | 0.145089 | − | 0.989419i | \(-0.453653\pi\) |
−0.244590 | + | 0.969627i | \(0.578653\pi\) | |||||||
\(692\) | 22.9887 | − | 16.5942i | 0.873897 | − | 0.630817i | ||||
\(693\) | −52.4897 | − | 35.0725i | −1.99392 | − | 1.33229i | ||||
\(694\) | −7.90647 | − | 11.3816i | −0.300125 | − | 0.432038i | ||||
\(695\) | 10.6985 | + | 26.9413i | 0.405817 | + | 1.02194i | ||||
\(696\) | −49.7322 | + | 55.4470i | −1.88509 | + | 2.10171i | ||||
\(697\) | 13.7643 | − | 5.70134i | 0.521358 | − | 0.215954i | ||||
\(698\) | 4.24611 | − | 6.61062i | 0.160718 | − | 0.250216i | ||||
\(699\) | −64.8312 | + | 12.8957i | −2.45214 | + | 0.487761i | ||||
\(700\) | 22.3581 | − | 0.152107i | 0.845056 | − | 0.00574909i | ||||
\(701\) | 27.7772 | − | 18.5601i | 1.04913 | − | 0.701006i | 0.0935123 | − | 0.995618i | \(-0.470191\pi\) |
0.955617 | + | 0.294612i | \(0.0951906\pi\) | |||||||
\(702\) | −15.8187 | + | 6.89022i | −0.597039 | + | 0.260055i | ||||
\(703\) | − | 2.03074i | − | 0.0765908i | ||||||
\(704\) | −48.7998 | + | 15.3586i | −1.83921 | + | 0.578847i | ||||
\(705\) | −11.0251 | + | 10.7058i | −0.415229 | + | 0.403204i | ||||
\(706\) | −9.26603 | − | 21.2732i | −0.348732 | − | 0.800626i | ||||
\(707\) | −5.21794 | − | 7.80920i | −0.196241 | − | 0.293695i | ||||
\(708\) | 18.2393 | − | 0.660316i | 0.685474 | − | 0.0248162i | ||||
\(709\) | 22.0408 | − | 4.38420i | 0.827761 | − | 0.164652i | 0.237012 | − | 0.971507i | \(-0.423832\pi\) |
0.590750 | + | 0.806855i | \(0.298832\pi\) | |||||||
\(710\) | 4.31751 | + | 21.3262i | 0.162033 | + | 0.800358i | ||||
\(711\) | 21.7847 | + | 52.5930i | 0.816991 | + | 1.97239i | ||||
\(712\) | 15.2192 | − | 0.826924i | 0.570365 | − | 0.0309903i | ||||
\(713\) | −1.46407 | − | 0.606436i | −0.0548297 | − | 0.0227112i | ||||
\(714\) | 7.86961 | + | 11.3285i | 0.294513 | + | 0.423958i | ||||
\(715\) | 44.5280 | − | 8.17901i | 1.66525 | − | 0.305878i | ||||
\(716\) | 13.3491 | − | 9.63593i | 0.498878 | − | 0.360112i | ||||
\(717\) | 4.36397 | − | 21.9392i | 0.162975 | − | 0.819333i | ||||
\(718\) | −7.85291 | − | 7.57375i | −0.293068 | − | 0.282650i | ||||
\(719\) | −12.4965 | + | 12.4965i | −0.466040 | + | 0.466040i | −0.900629 | − | 0.434589i | \(-0.856894\pi\) |
0.434589 | + | 0.900629i | \(0.356894\pi\) | |||||||
\(720\) | 31.5156 | − | 23.7961i | 1.17452 | − | 0.886829i | ||||
\(721\) | −9.18056 | − | 9.18056i | −0.341902 | − | 0.341902i | ||||
\(722\) | 0.277324 | + | 15.3255i | 0.0103209 | + | 0.570357i | ||||
\(723\) | 75.2988 | + | 14.9779i | 2.80039 | + | 0.557033i | ||||
\(724\) | 0.400302 | + | 1.69032i | 0.0148771 | + | 0.0628201i | ||||
\(725\) | −28.0328 | + | 39.3971i | −1.04111 | + | 1.46317i | ||||
\(726\) | 113.304 | + | 20.4137i | 4.20509 | + | 0.757624i | ||||
\(727\) | 3.03280 | − | 7.32183i | 0.112480 | − | 0.271552i | −0.857608 | − | 0.514304i | \(-0.828050\pi\) |
0.970088 | + | 0.242752i | \(0.0780503\pi\) | |||||||
\(728\) | −2.83493 | + | 19.8202i | −0.105069 | + | 0.734585i | ||||
\(729\) | −40.3095 | + | 16.6968i | −1.49295 | + | 0.618398i | ||||
\(730\) | 12.2199 | + | 8.10507i | 0.452278 | + | 0.299982i | ||||
\(731\) | −1.94660 | − | 9.78620i | −0.0719975 | − | 0.361956i | ||||
\(732\) | 73.4128 | − | 33.5698i | 2.71342 | − | 1.24077i | ||||
\(733\) | 1.48938 | − | 0.995171i | 0.0550115 | − | 0.0367575i | −0.527760 | − | 0.849393i | \(-0.676968\pi\) |
0.582772 | + | 0.812636i | \(0.301968\pi\) | |||||||
\(734\) | −22.1450 | − | 8.70677i | −0.817386 | − | 0.321373i | ||||
\(735\) | −8.74080 | + | 8.48766i | −0.322409 | + | 0.313072i | ||||
\(736\) | 0.233536 | + | 2.57438i | 0.00860825 | + | 0.0948928i | ||||
\(737\) | 44.8103 | 1.65061 | ||||||||
\(738\) | −54.0412 | − | 21.2474i | −1.98928 | − | 0.782128i | ||||
\(739\) | 15.6995 | + | 23.4959i | 0.577514 | + | 0.864310i | 0.999097 | − | 0.0424792i | \(-0.0135256\pi\) |
−0.421584 | + | 0.906790i | \(0.638526\pi\) | |||||||
\(740\) | 1.27938 | + | 2.91015i | 0.0470310 | + | 0.106979i | ||||
\(741\) | −4.80502 | − | 24.1565i | −0.176517 | − | 0.887410i | ||||
\(742\) | 3.79850 | + | 17.4410i | 0.139447 | + | 0.640277i | ||||
\(743\) | −16.6073 | − | 40.0935i | −0.609262 | − | 1.47089i | −0.863805 | − | 0.503827i | \(-0.831925\pi\) |
0.254543 | − | 0.967062i | \(-0.418075\pi\) | |||||||
\(744\) | 25.8754 | − | 6.62446i | 0.948640 | − | 0.242864i | ||||
\(745\) | −9.36261 | + | 3.71793i | −0.343020 | + | 0.136214i | ||||
\(746\) | −4.33848 | + | 24.0801i | −0.158843 | + | 0.881637i | ||||
\(747\) | 5.58512 | − | 8.35873i | 0.204349 | − | 0.305830i | ||||
\(748\) | −17.4370 | − | 10.7595i | −0.637558 | − | 0.393405i | ||||
\(749\) | −7.14002 | + | 35.8953i | −0.260890 | + | 1.31158i | ||||
\(750\) | 31.2256 | − | 29.6437i | 1.14020 | − | 1.08244i | ||||
\(751\) | −15.9508 | − | 15.9508i | −0.582053 | − | 0.582053i | 0.353414 | − | 0.935467i | \(-0.385021\pi\) |
−0.935467 | + | 0.353414i | \(0.885021\pi\) | |||||||
\(752\) | 7.63605 | + | 6.60366i | 0.278458 | + | 0.240811i | ||||
\(753\) | −13.3947 | − | 13.3947i | −0.488129 | − | 0.488129i | ||||
\(754\) | −31.1661 | − | 30.0583i | −1.13500 | − | 1.09466i | ||||
\(755\) | 5.46663 | − | 3.53763i | 0.198951 | − | 0.128748i | ||||
\(756\) | 2.74815 | − | 17.0115i | 0.0999492 | − | 0.618704i | ||||
\(757\) | 15.3031 | + | 10.2252i | 0.556201 | + | 0.371642i | 0.801674 | − | 0.597762i | \(-0.203943\pi\) |
−0.245472 | + | 0.969404i | \(0.578943\pi\) | |||||||
\(758\) | 0.280172 | + | 0.403314i | 0.0101763 | + | 0.0146490i | ||||
\(759\) | 3.04519 | − | 7.35174i | 0.110533 | − | 0.266851i | ||||
\(760\) | 7.56964 | + | 16.4061i | 0.274580 | + | 0.595110i | ||||
\(761\) | −7.81674 | − | 18.8713i | −0.283357 | − | 0.684083i | 0.716553 | − | 0.697533i | \(-0.245719\pi\) |
−0.999910 | + | 0.0134493i | \(0.995719\pi\) | |||||||
\(762\) | 58.2864 | + | 37.4383i | 2.11149 | + | 1.35625i | ||||
\(763\) | −0.662266 | − | 3.32944i | −0.0239757 | − | 0.120534i | ||||
\(764\) | 20.4280 | − | 21.9626i | 0.739058 | − | 0.794580i | ||||
\(765\) | 15.4649 | + | 3.31307i | 0.559135 | + | 0.119784i | ||||
\(766\) | −21.6888 | + | 9.44706i | −0.783647 | + | 0.341336i | ||||
\(767\) | 10.6101i | 0.383107i | ||||||||
\(768\) | −29.1781 | − | 32.3561i | −1.05287 | − | 1.16755i | ||||
\(769\) | −10.5456 | −0.380283 | −0.190141 | − | 0.981757i | \(-0.560895\pi\) | ||||
−0.190141 | + | 0.981757i | \(0.560895\pi\) | |||||||
\(770\) | −17.1608 | + | 41.8318i | −0.618433 | + | 1.50751i | ||||
\(771\) | 15.0388 | − | 10.0486i | 0.541610 | − | 0.361892i | ||||
\(772\) | 32.7516 | + | 30.4630i | 1.17875 | + | 1.09639i | ||||
\(773\) | −9.66062 | − | 48.5672i | −0.347468 | − | 1.74684i | −0.619913 | − | 0.784670i | \(-0.712832\pi\) |
0.272445 | − | 0.962171i | \(-0.412168\pi\) | |||||||
\(774\) | −21.0177 | + | 32.7217i | −0.755464 | + | 1.17616i | ||||
\(775\) | 16.2077 | − | 6.16204i | 0.582198 | − | 0.221347i | ||||
\(776\) | 27.6433 | + | 9.72929i | 0.992336 | + | 0.349261i | ||||
\(777\) | 3.99844 | + | 1.65621i | 0.143443 | + | 0.0594161i | ||||
\(778\) | 10.4791 | + | 15.0849i | 0.375694 | + | 0.540821i | ||||
\(779\) | 14.7604 | − | 22.0906i | 0.528848 | − | 0.791476i | ||||
\(780\) | 22.1046 | + | 31.5903i | 0.791472 | + | 1.13111i | ||||
\(781\) | −43.1566 | − | 8.58438i | −1.54427 | − | 0.307173i | ||||
\(782\) | −0.718681 | + | 0.745170i | −0.0257000 | + | 0.0266472i | ||||
\(783\) | 26.3511 | + | 26.3511i | 0.941711 | + | 0.941711i | ||||
\(784\) | 6.05393 | + | 5.23544i | 0.216212 | + | 0.186980i | ||||
\(785\) | 0.423043 | − | 28.7920i | 0.0150991 | − | 1.02763i | ||||
\(786\) | 0.493269 | + | 27.2591i | 0.0175943 | + | 0.972301i | ||||
\(787\) | 11.7359 | + | 2.33442i | 0.418340 | + | 0.0832131i | 0.399772 | − | 0.916615i | \(-0.369089\pi\) |
0.0185681 | + | 0.999828i | \(0.494089\pi\) | |||||||
\(788\) | −18.3194 | − | 11.3040i | −0.652602 | − | 0.402688i | ||||
\(789\) | 7.82999 | + | 5.23183i | 0.278755 | + | 0.186258i | ||||
\(790\) | 33.8238 | − | 22.7671i | 1.20340 | − | 0.810018i | ||||
\(791\) | 14.5611 | + | 6.03140i | 0.517733 | + | 0.214452i | ||||
\(792\) | 19.8064 | + | 77.3647i | 0.703790 | + | 2.74904i | ||||
\(793\) | 17.9584 | + | 43.3555i | 0.637723 | + | 1.53960i | ||||
\(794\) | 33.8351 | − | 7.36901i | 1.20076 | − | 0.261516i | ||||
\(795\) | 28.2966 | + | 19.5145i | 1.00358 | + | 0.692109i | ||||
\(796\) | −19.3483 | − | 7.20580i | −0.685782 | − | 0.255403i | ||||
\(797\) | −13.9334 | + | 9.31000i | −0.493546 | + | 0.329777i | −0.777311 | − | 0.629117i | \(-0.783417\pi\) |
0.283764 | + | 0.958894i | \(0.408417\pi\) | |||||||
\(798\) | 22.8924 | + | 9.00061i | 0.810381 | + | 0.318618i | ||||
\(799\) | 4.04320i | 0.143038i | ||||||||
\(800\) | −21.1836 | − | 18.7418i | −0.748954 | − | 0.662622i | ||||
\(801\) | − | 23.7922i | − | 0.840655i | ||||||
\(802\) | −8.79935 | + | 22.3805i | −0.310716 | + | 0.790282i | ||||
\(803\) | −24.6559 | + | 16.4746i | −0.870088 | + | 0.581374i | ||||
\(804\) | 15.8700 | + | 34.7056i | 0.559690 | + | 1.22397i | ||||
\(805\) | 1.88071 | + | 1.29702i | 0.0662862 | + | 0.0457138i | ||||
\(806\) | 3.30428 | + | 15.1718i | 0.116388 | + | 0.534402i | ||||
\(807\) | 0.0593535 | + | 0.143292i | 0.00208934 | + | 0.00504412i | ||||
\(808\) | −1.68228 | + | 11.7615i | −0.0591823 | + | 0.413768i | ||||
\(809\) | −16.8882 | − | 6.99532i | −0.593757 | − | 0.245942i | 0.0655089 | − | 0.997852i | \(-0.479133\pi\) |
−0.659266 | + | 0.751910i | \(0.729133\pi\) | |||||||
\(810\) | 4.85927 | + | 7.21914i | 0.170738 | + | 0.253655i | ||||
\(811\) | 26.8362 | + | 17.9314i | 0.942346 | + | 0.629656i | 0.928930 | − | 0.370254i | \(-0.120729\pi\) |
0.0134159 | + | 0.999910i | \(0.495729\pi\) | |||||||
\(812\) | 42.0799 | − | 9.96540i | 1.47672 | − | 0.349717i | ||||
\(813\) | 10.8700 | + | 2.16218i | 0.381227 | + | 0.0758308i | ||||
\(814\) | −6.42765 | + | 0.116312i | −0.225289 | + | 0.00407673i | ||||
\(815\) | −0.312553 | + | 21.2721i | −0.0109482 | + | 0.745129i | ||||
\(816\) | 2.15776 | − | 17.3155i | 0.0755366 | − | 0.606163i | ||||
\(817\) | −12.5820 | − | 12.5820i | −0.440187 | − | 0.440187i | ||||
\(818\) | −2.51233 | − | 2.42302i | −0.0878415 | − | 0.0847189i | ||||
\(819\) | 30.6535 | + | 6.09736i | 1.07112 | + | 0.213059i | ||||
\(820\) | −7.23524 | + | 40.9561i | −0.252666 | + | 1.43025i | ||||
\(821\) | −18.3822 | + | 27.5108i | −0.641541 | + | 0.960135i | 0.358109 | + | 0.933680i | \(0.383422\pi\) |
−0.999650 | + | 0.0264547i | \(0.991578\pi\) | |||||||
\(822\) | 14.2465 | − | 9.89665i | 0.496903 | − | 0.345185i | ||||
\(823\) | −20.7024 | − | 8.57522i | −0.721641 | − | 0.298913i | −0.00852899 | − | 0.999964i | \(-0.502715\pi\) |
−0.713112 | + | 0.701050i | \(0.752715\pi\) | |||||||
\(824\) | 0.891081 | + | 16.4000i | 0.0310423 | + | 0.571322i | ||||
\(825\) | 30.9424 | + | 81.3862i | 1.07728 | + | 2.83351i | ||||
\(826\) | −8.91572 | − | 5.72671i | −0.310217 | − | 0.199258i | ||||
\(827\) | 2.27858 | + | 11.4552i | 0.0792340 | + | 0.398336i | 0.999967 | + | 0.00814270i | \(0.00259193\pi\) |
−0.920733 | + | 0.390194i | \(0.872408\pi\) | |||||||
\(828\) | 4.03244 | − | 0.145986i | 0.140137 | − | 0.00507338i | ||||
\(829\) | −18.1113 | + | 12.1016i | −0.629031 | + | 0.420305i | −0.828806 | − | 0.559537i | \(-0.810979\pi\) |
0.199774 | + | 0.979842i | \(0.435979\pi\) | |||||||
\(830\) | −6.66151 | − | 2.73278i | −0.231224 | − | 0.0948560i | ||||
\(831\) | −39.6379 | −1.37502 | ||||||||
\(832\) | 19.4111 | − | 16.2706i | 0.672958 | − | 0.564081i | ||||
\(833\) | 3.20549i | 0.111064i | ||||||||
\(834\) | −19.9363 | − | 45.7701i | −0.690336 | − | 1.58489i | ||||
\(835\) | 43.4551 | + | 9.30945i | 1.50383 | + | 0.322167i | ||||
\(836\) | −36.5146 | + | 1.32194i | −1.26288 | + | 0.0457202i | ||||
\(837\) | −2.60716 | − | 13.1071i | −0.0901166 | − | 0.453047i | ||||
\(838\) | −14.7887 | + | 23.0240i | −0.510868 | + | 0.795352i | ||||
\(839\) | −17.8949 | − | 43.2021i | −0.617801 | − | 1.49150i | −0.854251 | − | 0.519860i | \(-0.825984\pi\) |
0.236450 | − | 0.971644i | \(-0.424016\pi\) | |||||||
\(840\) | −38.4764 | + | 1.52403i | −1.32756 | + | 0.0525839i | ||||
\(841\) | −24.6903 | + | 59.6077i | −0.851391 | + | 2.05544i | ||||
\(842\) | 4.84720 | − | 3.36722i | 0.167046 | − | 0.116042i | ||||
\(843\) | 27.2483 | + | 18.2068i | 0.938482 | + | 0.627074i | ||||
\(844\) | −28.7910 | − | 39.8855i | −0.991029 | − | 1.37291i | ||||
\(845\) | 5.58717 | − | 3.61564i | 0.192204 | − | 0.124382i | ||||
\(846\) | 10.9398 | − | 11.3430i | 0.376117 | − | 0.389980i | ||||
\(847\) | −47.2645 | − | 47.2645i | −1.62403 | − | 1.62403i | ||||
\(848\) | 11.1546 | − | 19.6330i | 0.383050 | − | 0.674201i | ||||
\(849\) | −46.5513 | − | 46.5513i | −1.59764 | − | 1.59764i | ||||
\(850\) | 0.127894 | − | 11.3271i | 0.00438671 | − | 0.388516i | ||||
\(851\) | −0.0633700 | + | 0.318582i | −0.00217229 | + | 0.0109209i | ||||
\(852\) | −8.63568 | − | 36.4650i | −0.295853 | − | 1.24927i | ||||
\(853\) | 3.02225 | − | 4.52312i | 0.103480 | − | 0.154869i | −0.776116 | − | 0.630590i | \(-0.782813\pi\) |
0.879596 | + | 0.475721i | \(0.157813\pi\) | |||||||
\(854\) | −46.1249 | − | 8.31025i | −1.57836 | − | 0.284371i | ||||
\(855\) | 26.2131 | − | 10.4093i | 0.896469 | − | 0.355991i | ||||
\(856\) | 37.0433 | − | 27.7726i | 1.26611 | − | 0.949246i | ||||
\(857\) | −1.80020 | − | 4.34606i | −0.0614935 | − | 0.148458i | 0.890146 | − | 0.455675i | \(-0.150602\pi\) |
−0.951639 | + | 0.307217i | \(0.900602\pi\) | |||||||
\(858\) | −76.1843 | + | 16.5923i | −2.60089 | + | 0.566452i | ||||
\(859\) | 6.62865 | + | 33.3245i | 0.226167 | + | 1.13702i | 0.912294 | + | 0.409536i | \(0.134309\pi\) |
−0.686127 | + | 0.727481i | \(0.740691\pi\) | |||||||
\(860\) | 25.9573 | + | 10.1039i | 0.885137 | + | 0.344539i | ||||
\(861\) | 31.4572 | + | 47.0790i | 1.07206 | + | 1.60445i | ||||
\(862\) | −11.8985 | + | 30.2630i | −0.405265 | + | 1.03076i | ||||
\(863\) | −42.3911 | −1.44301 | −0.721504 | − | 0.692410i | \(-0.756549\pi\) | ||||
−0.721504 | + | 0.692410i | \(0.756549\pi\) | |||||||
\(864\) | −16.9570 | + | 13.6989i | −0.576889 | + | 0.466047i | ||||
\(865\) | −22.7412 | + | 22.0826i | −0.773225 | + | 0.750832i | ||||
\(866\) | −5.53918 | + | 14.0885i | −0.188229 | + | 0.478746i | ||||
\(867\) | −32.6800 | + | 21.8361i | −1.10987 | + | 0.741591i | ||||
\(868\) | −14.5324 | − | 5.41224i | −0.493262 | − | 0.183704i | ||||
\(869\) | 16.0857 | + | 80.8683i | 0.545670 | + | 2.74327i | ||||
\(870\) | 46.0288 | − | 69.3968i | 1.56052 | − | 2.35277i | ||||
\(871\) | −20.4961 | + | 8.48977i | −0.694485 | + | 0.287665i | ||||
\(872\) | −2.18858 | + | 3.69480i | −0.0741146 | + | 0.125122i | ||||
\(873\) | 17.5061 | − | 42.2634i | 0.592491 | − | 1.43040i | ||||
\(874\) | −0.327354 | + | 1.81693i | −0.0110729 | + | 0.0614587i | ||||
\(875\) | −24.7084 | + | 3.79179i | −0.835297 | + | 0.128186i | ||||
\(876\) | −21.4916 | − | 13.2614i | −0.726135 | − | 0.448061i | ||||
\(877\) | −16.5558 | − | 3.29316i | −0.559050 | − | 0.111202i | −0.0925256 | − | 0.995710i | \(-0.529494\pi\) |
−0.466524 | + | 0.884508i | \(0.654494\pi\) | |||||||
\(878\) | −1.12026 | + | 0.0202717i | −0.0378068 | + | 0.000684136i | ||||
\(879\) | 27.9679 | + | 27.9679i | 0.943335 | + | 0.943335i | ||||
\(880\) | 51.4945 | − | 24.8989i | 1.73588 | − | 0.839342i | ||||
\(881\) | −0.567217 | + | 0.567217i | −0.0191100 | + | 0.0191100i | −0.716597 | − | 0.697487i | \(-0.754301\pi\) |
0.697487 | + | 0.716597i | \(0.254301\pi\) | |||||||
\(882\) | 8.67316 | − | 8.99283i | 0.292040 | − | 0.302804i | ||||
\(883\) | 2.03415 | − | 10.2264i | 0.0684546 | − | 0.344144i | −0.931346 | − | 0.364137i | \(-0.881364\pi\) |
0.999800 | + | 0.0199922i | \(0.00636414\pi\) | |||||||
\(884\) | 10.0141 | + | 1.61774i | 0.336811 | + | 0.0544105i | ||||
\(885\) | −20.0697 | + | 3.68646i | −0.674637 | + | 0.123919i | ||||
\(886\) | 38.2134 | − | 26.5459i | 1.28380 | − | 0.891825i | ||||
\(887\) | −21.1693 | − | 8.76860i | −0.710795 | − | 0.294421i | −0.00216143 | − | 0.999998i | \(-0.500688\pi\) |
−0.708633 | + | 0.705577i | \(0.750688\pi\) | |||||||
\(888\) | −2.36649 | − | 4.93702i | −0.0794142 | − | 0.165676i | ||||
\(889\) | −15.3915 | − | 37.1584i | −0.516214 | − | 1.24625i | ||||
\(890\) | −16.7019 | + | 3.38131i | −0.559849 | + | 0.113342i | ||||
\(891\) | −17.2600 | + | 3.43323i | −0.578232 | + | 0.115018i | ||||
\(892\) | −15.5761 | + | 16.7463i | −0.521528 | + | 0.560708i | ||||
\(893\) | 4.00578 | + | 5.99508i | 0.134048 | + | 0.200618i | ||||
\(894\) | 15.9060 | − | 6.92823i | 0.531975 | − | 0.231715i | ||||
\(895\) | −13.2054 | + | 12.8230i | −0.441408 | + | 0.428624i | ||||
\(896\) | 3.19529 | + | 25.0932i | 0.106747 | + | 0.838306i | ||||
\(897\) | 3.93961i | 0.131540i | ||||||||
\(898\) | 8.33592 | + | 19.1378i | 0.278173 | + | 0.638636i | ||||
\(899\) | 27.8846 | − | 18.6319i | 0.930003 | − | 0.621408i | ||||
\(900\) | −31.0067 | + | 31.4315i | −1.03356 | + | 1.04772i | ||||
\(901\) | 8.86969 | − | 1.76429i | 0.295492 | − | 0.0587771i | ||||
\(902\) | −70.7659 | − | 45.4541i | −2.35625 | − | 1.51346i | ||||
\(903\) | 35.0348 | − | 14.5119i | 1.16588 | − | 0.482925i | ||||
\(904\) | −8.61803 | − | 17.9791i | −0.286632 | − | 0.597977i | ||||
\(905\) | −0.716770 | − | 1.80499i | −0.0238262 | − | 0.0600001i | ||||
\(906\) | −9.21000 | + | 6.39794i | −0.305982 | + | 0.212557i | ||||
\(907\) | −23.8357 | − | 15.9265i | −0.791451 | − | 0.528830i | 0.0928880 | − | 0.995677i | \(-0.470390\pi\) |
−0.884339 | + | 0.466846i | \(0.845390\pi\) | |||||||
\(908\) | −4.55014 | + | 28.1662i | −0.151002 | + | 0.934728i | ||||
\(909\) | 18.1901 | + | 3.61824i | 0.603328 | + | 0.120009i | ||||
\(910\) | −0.0761442 | − | 22.3850i | −0.00252415 | − | 0.742057i | ||||
\(911\) | 2.72946 | − | 2.72946i | 0.0904309 | − | 0.0904309i | −0.660444 | − | 0.750875i | \(-0.729632\pi\) |
0.750875 | + | 0.660444i | \(0.229632\pi\) | |||||||
\(912\) | −13.9558 | − | 27.8124i | −0.462123 | − | 0.920961i | ||||
\(913\) | 10.2961 | − | 10.2961i | 0.340750 | − | 0.340750i | ||||
\(914\) | −0.766117 | − | 42.3373i | −0.0253409 | − | 1.40039i | ||||
\(915\) | −75.7706 | + | 49.0336i | −2.50490 | + | 1.62100i | ||||
\(916\) | −0.262166 | − | 0.161770i | −0.00866222 | − | 0.00534502i | ||||
\(917\) | 8.79409 | − | 13.1613i | 0.290407 | − | 0.434624i | ||||
\(918\) | −8.59216 | − | 1.54804i | −0.283584 | − | 0.0510928i | ||||
\(919\) | 39.7203 | + | 16.4527i | 1.31025 | + | 0.542723i | 0.924957 | − | 0.380071i | \(-0.124100\pi\) |
0.385293 | + | 0.922794i | \(0.374100\pi\) | |||||||
\(920\) | −0.675567 | − | 2.80999i | −0.0222728 | − | 0.0926427i | ||||
\(921\) | 41.2044 | − | 17.0674i | 1.35773 | − | 0.562391i | ||||
\(922\) | −0.263291 | − | 1.20891i | −0.00867101 | − | 0.0398133i | ||||
\(923\) | 21.3661 | − | 4.24999i | 0.703274 | − | 0.139890i | ||||
\(924\) | 27.1773 | − | 72.9738i | 0.894069 | − | 2.40066i | ||||
\(925\) | −1.88693 | − | 3.01194i | −0.0620418 | − | 0.0990320i | ||||
\(926\) | 4.54768 | − | 11.5667i | 0.149446 | − | 0.380104i | ||||
\(927\) | 25.6381 | 0.842065 | ||||||||
\(928\) | −48.0451 | − | 26.1587i | −1.57716 | − | 0.858701i | ||||
\(929\) | − | 10.2358i | − | 0.335826i | −0.985802 | − | 0.167913i | \(-0.946297\pi\) | ||
0.985802 | − | 0.167913i | \(-0.0537028\pi\) | |||||||
\(930\) | −27.5505 | + | 11.5217i | −0.903415 | + | 0.377812i | ||||
\(931\) | 3.17582 | + | 4.75295i | 0.104083 | + | 0.155772i | ||||
\(932\) | −20.1895 | − | 44.1518i | −0.661328 | − | 1.44624i | ||||
\(933\) | 11.8314 | − | 2.35340i | 0.387341 | − | 0.0770469i | ||||
\(934\) | 2.18039 | + | 10.0114i | 0.0713446 | + | 0.327582i | ||||
\(935\) | 21.0330 | + | 9.07642i | 0.687852 | + | 0.296831i | ||||
\(936\) | −23.7169 | − | 31.6339i | −0.775212 | − | 1.03399i | ||||
\(937\) | −16.6701 | + | 40.2451i | −0.544588 | + | 1.31475i | 0.376867 | + | 0.926267i | \(0.377001\pi\) |
−0.921455 | + | 0.388484i | \(0.872999\pi\) | |||||||
\(938\) | 3.92863 | − | 21.8053i | 0.128274 | − | 0.711970i | ||||
\(939\) | 39.6864 | + | 26.5176i | 1.29512 | + | 0.865368i | ||||
\(940\) | −9.51743 | − | 6.06758i | −0.310424 | − | 0.197903i | ||||
\(941\) | 5.69814 | − | 28.6465i | 0.185754 | − | 0.933848i | −0.769632 | − | 0.638488i | \(-0.779560\pi\) |
0.955386 | − | 0.295360i | \(-0.0954397\pi\) | |||||||
\(942\) | 0.897242 | + | 49.5836i | 0.0292337 | + | 1.61552i | ||||
\(943\) | −3.00496 | + | 3.00496i | −0.0978549 | + | 0.0978549i | ||||
\(944\) | 3.55901 | + | 12.9238i | 0.115836 | + | 0.420633i | ||||
\(945\) | −0.283047 | + | 19.2640i | −0.00920753 | + | 0.626657i | ||||
\(946\) | −39.1035 | + | 40.5447i | −1.27136 | + | 1.31822i | ||||
\(947\) | 7.31501 | − | 36.7750i | 0.237706 | − | 1.19503i | −0.658911 | − | 0.752221i | \(-0.728983\pi\) |
0.896617 | − | 0.442807i | \(-0.146017\pi\) | |||||||
\(948\) | −56.9356 | + | 41.0986i | −1.84918 | + | 1.33482i | ||||
\(949\) | 8.15628 | − | 12.2067i | 0.264764 | − | 0.396247i | ||||
\(950\) | −11.0326 | − | 16.9220i | −0.357945 | − | 0.549022i | ||||
\(951\) | 21.3151 | − | 51.4592i | 0.691190 | − | 1.66868i | ||||
\(952\) | −6.76445 | + | 7.54177i | −0.219237 | + | 0.244430i | ||||
\(953\) | 48.5188 | − | 20.0971i | 1.57168 | − | 0.651010i | 0.584609 | − | 0.811315i | \(-0.301248\pi\) |
0.987068 | + | 0.160305i | \(0.0512478\pi\) | |||||||
\(954\) | −29.6572 | − | 19.0493i | −0.960186 | − | 0.616744i | ||||
\(955\) | −19.0385 | + | 27.6063i | −0.616071 | + | 0.893320i | ||||
\(956\) | 16.4184 | − | 0.594396i | 0.531010 | − | 0.0192241i | ||||
\(957\) | 93.5592 | + | 140.021i | 3.02434 | + | 4.52624i | ||||
\(958\) | −26.7113 | + | 11.6348i | −0.863004 | + | 0.375902i | ||||
\(959\) | −10.0713 | −0.325218 | ||||||||
\(960\) | 37.5214 | + | 31.0643i | 1.21100 | + | 1.00260i | ||||
\(961\) | 18.9736 | 0.612051 | ||||||||
\(962\) | 2.91795 | − | 1.27098i | 0.0940786 | − | 0.0409782i | ||||
\(963\) | −40.1517 | − | 60.0913i | −1.29387 | − | 1.93641i | ||||
\(964\) | 2.04006 | + | 56.3508i | 0.0657061 | + | 1.81494i | ||||
\(965\) | −41.1677 | − | 28.3910i | −1.32523 | − | 0.913938i | ||||
\(966\) | −3.31048 | − | 2.12638i | −0.106513 | − | 0.0684151i | ||||
\(967\) | 20.4833 | − | 8.48447i | 0.658699 | − | 0.272842i | −0.0281919 | − | 0.999603i | \(-0.508975\pi\) |
0.686891 | + | 0.726760i | \(0.258975\pi\) | |||||||
\(968\) | 4.58757 | + | 84.4326i | 0.147450 | + | 2.71377i | ||||
\(969\) | 4.76918 | − | 11.5138i | 0.153208 | − | 0.369877i | ||||
\(970\) | −32.1565 | − | 6.28269i | −1.03248 | − | 0.201725i | ||||
\(971\) | 14.9146 | − | 22.3212i | 0.478631 | − | 0.716322i | −0.511059 | − | 0.859545i | \(-0.670747\pi\) |
0.989690 | + | 0.143224i | \(0.0457468\pi\) | |||||||
\(972\) | −22.3045 | − | 30.8994i | −0.715418 | − | 0.991099i | ||||
\(973\) | −5.65471 | + | 28.4281i | −0.181282 | + | 0.911364i | ||||
\(974\) | −2.15806 | + | 2.23760i | −0.0691487 | + | 0.0716973i | ||||
\(975\) | −29.5724 | − | 31.3635i | −0.947076 | − | 1.00444i | ||||
\(976\) | 36.4176 | + | 46.7860i | 1.16570 | + | 1.49758i | ||||
\(977\) | −9.43824 | + | 9.43824i | −0.301956 | + | 0.301956i | −0.841779 | − | 0.539823i | \(-0.818491\pi\) |
0.539823 | + | 0.841779i | \(0.318491\pi\) | |||||||
\(978\) | −0.662900 | − | 36.6333i | −0.0211972 | − | 1.17140i | ||||
\(979\) | 6.72297 | − | 33.7987i | 0.214867 | − | 1.08021i | ||||
\(980\) | −7.54551 | − | 4.81043i | −0.241032 | − | 0.153664i | ||||
\(981\) | 5.57372 | + | 3.72424i | 0.177955 | + | 0.118906i | ||||
\(982\) | −8.74349 | + | 48.5295i | −0.279016 | + | 1.54864i | ||||
\(983\) | −12.7999 | + | 30.9017i | −0.408254 | + | 0.985611i | 0.577344 | + | 0.816501i | \(0.304089\pi\) |
−0.985597 | + | 0.169110i | \(0.945911\pi\) | |||||||
\(984\) | 10.1419 | − | 70.9062i | 0.323311 | − | 2.26041i | ||||
\(985\) | 22.0974 | + | 9.53576i | 0.704082 | + | 0.303835i | ||||
\(986\) | −4.66234 | − | 21.4073i | −0.148479 | − | 0.681748i | ||||
\(987\) | −15.0710 | + | 2.99781i | −0.479716 | + | 0.0954215i | ||||
\(988\) | 16.4512 | − | 7.52272i | 0.523384 | − | 0.239330i | ||||
\(989\) | 1.58123 | + | 2.36648i | 0.0502802 | + | 0.0752497i | ||||
\(990\) | −34.4487 | − | 82.3728i | −1.09485 | − | 2.61798i | ||||
\(991\) | 3.56673i | 0.113301i | 0.998394 | + | 0.0566505i | \(0.0180421\pi\) | ||||
−0.998394 | + | 0.0566505i | \(0.981958\pi\) | |||||||
\(992\) | 9.11400 | + | 17.3718i | 0.289370 | + | 0.551556i | ||||
\(993\) | −18.4999 | −0.587076 | ||||||||
\(994\) | −7.96093 | + | 20.2480i | −0.252506 | + | 0.642228i | ||||
\(995\) | 22.5714 | + | 4.83551i | 0.715562 | + | 0.153296i | ||||
\(996\) | 11.6207 | + | 4.32786i | 0.368217 | + | 0.137133i | ||||
\(997\) | 40.2166 | − | 7.99957i | 1.27367 | − | 0.253349i | 0.488465 | − | 0.872583i | \(-0.337557\pi\) |
0.785206 | + | 0.619234i | \(0.212557\pi\) | |||||||
\(998\) | 4.17512 | + | 19.1703i | 0.132161 | + | 0.606824i | ||||
\(999\) | −2.53075 | + | 1.04827i | −0.0800695 | + | 0.0331659i |
(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 | 320.2.bf.a.269.30 | yes | 368 | |
5.4 | even | 2 | inner | 320.2.bf.a.269.17 | yes | 368 | |
64.5 | even | 16 | inner | 320.2.bf.a.69.17 | ✓ | 368 | |
320.69 | even | 16 | inner | 320.2.bf.a.69.30 | yes | 368 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
320.2.bf.a.69.17 | ✓ | 368 | 64.5 | even | 16 | inner | |
320.2.bf.a.69.30 | yes | 368 | 320.69 | even | 16 | inner | |
320.2.bf.a.269.17 | yes | 368 | 5.4 | even | 2 | inner | |
320.2.bf.a.269.30 | yes | 368 | 1.1 | even | 1 | trivial |