Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,3,Mod(3,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.3");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.h (of order \(42\), degree \(12\), 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: | \(1.17166513675\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 5.2 | ||
Character | \(\chi\) | \(=\) | 43.5 |
Dual form | 43.3.h.a.26.2 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{25}{42}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.60332 | − | 0.365947i | −0.801659 | − | 0.182973i | −0.197985 | − | 0.980205i | \(-0.563440\pi\) |
−0.603673 | + | 0.797232i | \(0.706297\pi\) | |||||||
\(3\) | −0.914301 | + | 2.96409i | −0.304767 | + | 0.988030i | 0.665582 | + | 0.746324i | \(0.268183\pi\) |
−0.970349 | + | 0.241706i | \(0.922293\pi\) | |||||||
\(4\) | −1.16717 | − | 0.562078i | −0.291792 | − | 0.140519i | ||||
\(5\) | −3.68671 | + | 1.44693i | −0.737342 | + | 0.289386i | −0.704138 | − | 0.710063i | \(-0.748666\pi\) |
−0.0332042 | + | 0.999449i | \(0.510571\pi\) | |||||||
\(6\) | 2.55061 | − | 4.41779i | 0.425102 | − | 0.736299i | ||||
\(7\) | −8.88846 | + | 5.13175i | −1.26978 | + | 0.733107i | −0.974946 | − | 0.222441i | \(-0.928597\pi\) |
−0.294833 | + | 0.955549i | \(0.595264\pi\) | |||||||
\(8\) | 6.80869 | + | 5.42975i | 0.851086 | + | 0.678719i | ||||
\(9\) | −0.513742 | − | 0.350263i | −0.0570824 | − | 0.0389182i | ||||
\(10\) | 6.44047 | − | 0.970744i | 0.644047 | − | 0.0970744i | ||||
\(11\) | 10.7213 | − | 5.16312i | 0.974666 | − | 0.469374i | 0.122399 | − | 0.992481i | \(-0.460941\pi\) |
0.852267 | + | 0.523107i | \(0.175227\pi\) | |||||||
\(12\) | 2.73319 | − | 2.94568i | 0.227766 | − | 0.245473i | ||||
\(13\) | −14.7814 | − | 2.22793i | −1.13703 | − | 0.171380i | −0.446569 | − | 0.894749i | \(-0.647354\pi\) |
−0.690461 | + | 0.723370i | \(0.742592\pi\) | |||||||
\(14\) | 16.1290 | − | 4.97513i | 1.15207 | − | 0.355366i | ||||
\(15\) | −0.918061 | − | 12.2507i | −0.0612041 | − | 0.816712i | ||||
\(16\) | −5.69868 | − | 7.14591i | −0.356167 | − | 0.446620i | ||||
\(17\) | 2.90447 | − | 7.40048i | 0.170851 | − | 0.435322i | −0.819643 | − | 0.572875i | \(-0.805828\pi\) |
0.990495 | + | 0.137552i | \(0.0439235\pi\) | |||||||
\(18\) | 0.695514 | + | 0.749586i | 0.0386397 | + | 0.0416436i | ||||
\(19\) | 16.8706 | + | 24.7446i | 0.887927 | + | 1.30235i | 0.952532 | + | 0.304438i | \(0.0984687\pi\) |
−0.0646054 | + | 0.997911i | \(0.520579\pi\) | |||||||
\(20\) | 5.11629 | + | 0.383413i | 0.255815 | + | 0.0191706i | ||||
\(21\) | −7.08426 | − | 31.0382i | −0.337346 | − | 1.47801i | ||||
\(22\) | −19.0791 | + | 4.35468i | −0.867232 | + | 0.197940i | ||||
\(23\) | −1.70062 | + | 22.6932i | −0.0739400 | + | 0.986661i | 0.829656 | + | 0.558275i | \(0.188537\pi\) |
−0.903596 | + | 0.428386i | \(0.859082\pi\) | |||||||
\(24\) | −22.3195 | + | 15.2172i | −0.929978 | + | 0.634048i | ||||
\(25\) | −6.82806 | + | 6.33551i | −0.273122 | + | 0.253420i | ||||
\(26\) | 22.8839 | + | 8.98128i | 0.880152 | + | 0.345434i | ||||
\(27\) | −20.3185 | + | 16.2035i | −0.752539 | + | 0.600129i | ||||
\(28\) | 13.2587 | − | 0.993606i | 0.473527 | − | 0.0354859i | ||||
\(29\) | 1.56844 | + | 5.08475i | 0.0540841 | + | 0.175336i | 0.978585 | − | 0.205844i | \(-0.0659939\pi\) |
−0.924501 | + | 0.381180i | \(0.875518\pi\) | |||||||
\(30\) | −3.01115 | + | 19.9777i | −0.100372 | + | 0.665923i | ||||
\(31\) | −18.9843 | − | 17.6149i | −0.612398 | − | 0.568222i | 0.311795 | − | 0.950150i | \(-0.399070\pi\) |
−0.924192 | + | 0.381927i | \(0.875260\pi\) | |||||||
\(32\) | −8.59239 | − | 17.8423i | −0.268512 | − | 0.557571i | ||||
\(33\) | 5.50143 | + | 36.4996i | 0.166710 | + | 1.10605i | ||||
\(34\) | −7.36498 | + | 10.8024i | −0.216617 | + | 0.317719i | ||||
\(35\) | 25.3439 | − | 31.7802i | 0.724111 | − | 0.908007i | ||||
\(36\) | 0.402747 | + | 0.697578i | 0.0111874 | + | 0.0193772i | ||||
\(37\) | −19.0479 | − | 10.9973i | −0.514808 | − | 0.297224i | 0.220000 | − | 0.975500i | \(-0.429394\pi\) |
−0.734808 | + | 0.678275i | \(0.762728\pi\) | |||||||
\(38\) | −17.9937 | − | 45.8472i | −0.473519 | − | 1.20651i | ||||
\(39\) | 20.1184 | − | 41.7764i | 0.515857 | − | 1.07119i | ||||
\(40\) | −32.9581 | − | 10.1662i | −0.823953 | − | 0.254156i | ||||
\(41\) | −3.78380 | + | 16.5779i | −0.0922879 | + | 0.404340i | −0.999880 | − | 0.0155142i | \(-0.995061\pi\) |
0.907592 | + | 0.419854i | \(0.137919\pi\) | |||||||
\(42\) | 52.3565i | 1.24658i | ||||||||
\(43\) | 37.5788 | + | 20.9005i | 0.873926 | + | 0.486059i | ||||
\(44\) | −15.4156 | −0.350355 | ||||||||
\(45\) | 2.40082 | + | 0.547972i | 0.0533517 | + | 0.0121772i | ||||
\(46\) | 11.0311 | − | 35.7621i | 0.239807 | − | 0.777436i | ||||
\(47\) | 62.0115 | + | 29.8632i | 1.31939 | + | 0.635387i | 0.955207 | − | 0.295939i | \(-0.0956325\pi\) |
0.364187 | + | 0.931326i | \(0.381347\pi\) | |||||||
\(48\) | 26.3914 | − | 10.3579i | 0.549822 | − | 0.215789i | ||||
\(49\) | 28.1698 | − | 48.7915i | 0.574893 | − | 0.995744i | ||||
\(50\) | 13.2660 | − | 7.65913i | 0.265320 | − | 0.153183i | ||||
\(51\) | 19.2801 | + | 15.3754i | 0.378042 | + | 0.301478i | ||||
\(52\) | 16.0001 | + | 10.9087i | 0.307693 | + | 0.209782i | ||||
\(53\) | 18.8990 | − | 2.84857i | 0.356585 | − | 0.0537465i | 0.0316929 | − | 0.999498i | \(-0.489910\pi\) |
0.324892 | + | 0.945751i | \(0.394672\pi\) | |||||||
\(54\) | 38.5067 | − | 18.5438i | 0.713087 | − | 0.343404i | ||||
\(55\) | −32.0558 | + | 34.5479i | −0.582832 | + | 0.628144i | ||||
\(56\) | −88.3829 | − | 13.3216i | −1.57827 | − | 0.237885i | ||||
\(57\) | −88.7702 | + | 27.3820i | −1.55737 | + | 0.480385i | ||||
\(58\) | −0.653956 | − | 8.72644i | −0.0112751 | − | 0.150456i | ||||
\(59\) | −14.2526 | − | 17.8722i | −0.241569 | − | 0.302918i | 0.646236 | − | 0.763138i | \(-0.276342\pi\) |
−0.887805 | + | 0.460220i | \(0.847771\pi\) | |||||||
\(60\) | −5.81430 | + | 14.8146i | −0.0969050 | + | 0.246910i | ||||
\(61\) | −52.4112 | − | 56.4859i | −0.859201 | − | 0.925998i | 0.138728 | − | 0.990331i | \(-0.455699\pi\) |
−0.997929 | + | 0.0643326i | \(0.979508\pi\) | |||||||
\(62\) | 23.9918 | + | 35.1895i | 0.386964 | + | 0.567573i | ||||
\(63\) | 6.36384 | + | 0.476904i | 0.101013 | + | 0.00756990i | ||||
\(64\) | 15.3823 | + | 67.3944i | 0.240349 | + | 1.05304i | ||||
\(65\) | 57.7183 | − | 13.1738i | 0.887975 | − | 0.202674i | ||||
\(66\) | 4.53638 | − | 60.5337i | 0.0687330 | − | 0.917178i | ||||
\(67\) | 65.5318 | − | 44.6788i | 0.978086 | − | 0.666848i | 0.0349967 | − | 0.999387i | \(-0.488858\pi\) |
0.943089 | + | 0.332540i | \(0.107906\pi\) | |||||||
\(68\) | −7.54965 | + | 7.00505i | −0.111024 | + | 0.103015i | ||||
\(69\) | −65.7099 | − | 25.7892i | −0.952317 | − | 0.373757i | ||||
\(70\) | −52.2642 | + | 41.6793i | −0.746631 | + | 0.595418i | ||||
\(71\) | 90.2769 | − | 6.76532i | 1.27151 | − | 0.0952862i | 0.578180 | − | 0.815910i | \(-0.303763\pi\) |
0.693327 | + | 0.720623i | \(0.256144\pi\) | |||||||
\(72\) | −1.59607 | − | 5.17432i | −0.0221676 | − | 0.0718656i | ||||
\(73\) | −4.85708 | + | 32.2246i | −0.0665354 | + | 0.441433i | 0.930615 | + | 0.365999i | \(0.119273\pi\) |
−0.997151 | + | 0.0754346i | \(0.975966\pi\) | |||||||
\(74\) | 26.5154 | + | 24.6027i | 0.358316 | + | 0.332469i | ||||
\(75\) | −12.5361 | − | 26.0315i | −0.167148 | − | 0.347087i | ||||
\(76\) | −5.78240 | − | 38.3637i | −0.0760842 | − | 0.504785i | ||||
\(77\) | −68.8002 | + | 100.911i | −0.893509 | + | 1.31054i | ||||
\(78\) | −47.5442 | + | 59.6185i | −0.609540 | + | 0.764340i | ||||
\(79\) | 40.7334 | + | 70.5523i | 0.515612 | + | 0.893067i | 0.999836 | + | 0.0181224i | \(0.00576886\pi\) |
−0.484223 | + | 0.874944i | \(0.660898\pi\) | |||||||
\(80\) | 31.3490 | + | 18.0993i | 0.391862 | + | 0.226242i | ||||
\(81\) | −31.4958 | − | 80.2501i | −0.388838 | − | 0.990742i | ||||
\(82\) | 12.1333 | − | 25.1950i | 0.147967 | − | 0.307256i | ||||
\(83\) | −112.239 | − | 34.6212i | −1.35228 | − | 0.417122i | −0.467853 | − | 0.883806i | \(-0.654972\pi\) |
−0.884424 | + | 0.466684i | \(0.845449\pi\) | |||||||
\(84\) | −9.17735 | + | 40.2086i | −0.109254 | + | 0.478674i | ||||
\(85\) | 31.4860i | 0.370424i | ||||||||
\(86\) | −52.6023 | − | 47.2620i | −0.611655 | − | 0.549558i | ||||
\(87\) | −16.5057 | −0.189721 | ||||||||
\(88\) | 101.033 | + | 23.0600i | 1.14810 | + | 0.262046i | ||||
\(89\) | −47.5797 | + | 154.250i | −0.534604 | + | 1.73314i | 0.135406 | + | 0.990790i | \(0.456766\pi\) |
−0.670010 | + | 0.742352i | \(0.733710\pi\) | |||||||
\(90\) | −3.64875 | − | 1.75715i | −0.0405417 | − | 0.0195239i | ||||
\(91\) | 142.817 | − | 56.0515i | 1.56942 | − | 0.615950i | ||||
\(92\) | 14.7402 | − | 25.5309i | 0.160220 | − | 0.277509i | ||||
\(93\) | 69.5695 | − | 40.1660i | 0.748059 | − | 0.431892i | ||||
\(94\) | −88.4958 | − | 70.5731i | −0.941445 | − | 0.750777i | ||||
\(95\) | −98.0008 | − | 66.8158i | −1.03159 | − | 0.703324i | ||||
\(96\) | 60.7422 | − | 9.15541i | 0.632731 | − | 0.0953689i | ||||
\(97\) | 81.4250 | − | 39.2122i | 0.839433 | − | 0.404249i | 0.0357884 | − | 0.999359i | \(-0.488606\pi\) |
0.803644 | + | 0.595110i | \(0.202891\pi\) | |||||||
\(98\) | −63.0201 | + | 67.9196i | −0.643063 | + | 0.693057i | ||||
\(99\) | −7.31645 | − | 1.10278i | −0.0739035 | − | 0.0111392i | ||||
\(100\) | 11.5305 | − | 3.55670i | 0.115305 | − | 0.0355670i | ||||
\(101\) | 3.61623 | + | 48.2552i | 0.0358042 | + | 0.477774i | 0.986070 | + | 0.166333i | \(0.0531926\pi\) |
−0.950265 | + | 0.311441i | \(0.899188\pi\) | |||||||
\(102\) | −25.2856 | − | 31.7071i | −0.247898 | − | 0.310854i | ||||
\(103\) | −73.6136 | + | 187.564i | −0.714695 | + | 1.82101i | −0.163687 | + | 0.986512i | \(0.552339\pi\) |
−0.551008 | + | 0.834500i | \(0.685756\pi\) | |||||||
\(104\) | −88.5447 | − | 95.4285i | −0.851392 | − | 0.917582i | ||||
\(105\) | 71.0276 | + | 104.178i | 0.676453 | + | 0.992175i | ||||
\(106\) | −31.3435 | − | 2.34887i | −0.295693 | − | 0.0221592i | ||||
\(107\) | −31.8191 | − | 139.409i | −0.297375 | − | 1.30289i | −0.874020 | − | 0.485890i | \(-0.838495\pi\) |
0.576645 | − | 0.816995i | \(-0.304362\pi\) | |||||||
\(108\) | 32.8227 | − | 7.49157i | 0.303914 | − | 0.0693664i | ||||
\(109\) | 5.91361 | − | 78.9116i | 0.0542533 | − | 0.723960i | −0.902059 | − | 0.431613i | \(-0.857945\pi\) |
0.956312 | − | 0.292347i | \(-0.0944363\pi\) | |||||||
\(110\) | 64.0383 | − | 43.6606i | 0.582166 | − | 0.396914i | ||||
\(111\) | 50.0125 | − | 46.4048i | 0.450563 | − | 0.418062i | ||||
\(112\) | 87.3235 | + | 34.2719i | 0.779674 | + | 0.305999i | ||||
\(113\) | 94.6454 | − | 75.4772i | 0.837570 | − | 0.667940i | −0.107716 | − | 0.994182i | \(-0.534354\pi\) |
0.945286 | + | 0.326242i | \(0.105782\pi\) | |||||||
\(114\) | 152.347 | − | 11.4168i | 1.33638 | − | 0.100148i | ||||
\(115\) | −26.5657 | − | 86.1240i | −0.231006 | − | 0.748904i | ||||
\(116\) | 1.02740 | − | 6.81634i | 0.00885688 | − | 0.0587615i | ||||
\(117\) | 6.81345 | + | 6.32196i | 0.0582346 | + | 0.0540339i | ||||
\(118\) | 16.3111 | + | 33.8704i | 0.138230 | + | 0.287037i | ||||
\(119\) | 12.1611 | + | 80.6839i | 0.102194 | + | 0.678016i | ||||
\(120\) | 60.2673 | − | 88.3959i | 0.502228 | − | 0.736633i | ||||
\(121\) | 12.8467 | − | 16.1093i | 0.106171 | − | 0.133135i | ||||
\(122\) | 63.3610 | + | 109.744i | 0.519353 | + | 0.899545i | ||||
\(123\) | −45.6789 | − | 26.3727i | −0.371373 | − | 0.214413i | ||||
\(124\) | 12.2569 | + | 31.2302i | 0.0988463 | + | 0.251856i | ||||
\(125\) | 58.9658 | − | 122.444i | 0.471726 | − | 0.979550i | ||||
\(126\) | −10.0287 | − | 3.09345i | −0.0795931 | − | 0.0245512i | ||||
\(127\) | −39.6295 | + | 173.628i | −0.312043 | + | 1.36715i | 0.539111 | + | 0.842235i | \(0.318760\pi\) |
−0.851154 | + | 0.524916i | \(0.824097\pi\) | |||||||
\(128\) | − | 34.4700i | − | 0.269297i | ||||||
\(129\) | −96.3094 | + | 92.2777i | −0.746585 | + | 0.715331i | ||||
\(130\) | −97.3618 | −0.748937 | ||||||||
\(131\) | −13.6105 | − | 3.10651i | −0.103897 | − | 0.0237138i | 0.170256 | − | 0.985400i | \(-0.445540\pi\) |
−0.274153 | + | 0.961686i | \(0.588398\pi\) | |||||||
\(132\) | 14.0945 | − | 45.6934i | 0.106777 | − | 0.346162i | ||||
\(133\) | −276.937 | − | 133.366i | −2.08223 | − | 1.00275i | ||||
\(134\) | −121.418 | + | 47.6532i | −0.906106 | + | 0.355621i | ||||
\(135\) | 51.4633 | − | 89.1371i | 0.381210 | − | 0.660275i | ||||
\(136\) | 59.9584 | − | 34.6170i | 0.440871 | − | 0.254537i | ||||
\(137\) | 120.171 | + | 95.8332i | 0.877160 | + | 0.699512i | 0.954730 | − | 0.297475i | \(-0.0961444\pi\) |
−0.0775692 | + | 0.996987i | \(0.524716\pi\) | |||||||
\(138\) | 95.9163 | + | 65.3946i | 0.695045 | + | 0.473874i | ||||
\(139\) | −63.1806 | + | 9.52295i | −0.454537 | + | 0.0685104i | −0.372321 | − | 0.928104i | \(-0.621438\pi\) |
−0.0822161 | + | 0.996615i | \(0.526200\pi\) | |||||||
\(140\) | −47.4435 | + | 22.8476i | −0.338882 | + | 0.163197i | ||||
\(141\) | −145.214 | + | 156.504i | −1.02989 | + | 1.10996i | ||||
\(142\) | −147.218 | − | 22.1896i | −1.03675 | − | 0.156265i | ||||
\(143\) | −169.979 | + | 52.4316i | −1.18866 | + | 0.366655i | ||||
\(144\) | 0.424697 | + | 5.66719i | 0.00294929 | + | 0.0393555i | ||||
\(145\) | −13.1397 | − | 16.4766i | −0.0906183 | − | 0.113632i | ||||
\(146\) | 19.5799 | − | 49.8889i | 0.134109 | − | 0.341705i | ||||
\(147\) | 118.867 | + | 128.108i | 0.808617 | + | 0.871482i | ||||
\(148\) | 16.0507 | + | 23.5421i | 0.108451 | + | 0.159068i | ||||
\(149\) | −52.6758 | − | 3.94751i | −0.353529 | − | 0.0264933i | −0.103218 | − | 0.994659i | \(-0.532914\pi\) |
−0.250311 | + | 0.968165i | \(0.580533\pi\) | |||||||
\(150\) | 10.5732 | + | 46.3244i | 0.0704882 | + | 0.308829i | ||||
\(151\) | 7.18237 | − | 1.63933i | 0.0475654 | − | 0.0108565i | −0.198672 | − | 0.980066i | \(-0.563663\pi\) |
0.246237 | + | 0.969210i | \(0.420806\pi\) | |||||||
\(152\) | −19.4904 | + | 260.082i | −0.128227 | + | 1.71106i | ||||
\(153\) | −4.08427 | + | 2.78461i | −0.0266946 | + | 0.0182000i | ||||
\(154\) | 147.237 | − | 136.616i | 0.956082 | − | 0.887115i | ||||
\(155\) | 95.4772 | + | 37.4720i | 0.615982 | + | 0.241755i | ||||
\(156\) | −46.9631 | + | 37.4518i | −0.301046 | + | 0.240076i | ||||
\(157\) | −28.5903 | + | 2.14255i | −0.182104 | + | 0.0136468i | −0.165470 | − | 0.986215i | \(-0.552914\pi\) |
−0.0166340 | + | 0.999862i | \(0.505295\pi\) | |||||||
\(158\) | −39.4902 | − | 128.024i | −0.249938 | − | 0.810278i | ||||
\(159\) | −8.83596 | + | 58.6228i | −0.0555721 | + | 0.368697i | ||||
\(160\) | 57.4942 | + | 53.3468i | 0.359338 | + | 0.333417i | ||||
\(161\) | −101.340 | − | 210.435i | −0.629441 | − | 1.30705i | ||||
\(162\) | 21.1306 | + | 140.192i | 0.130436 | + | 0.865384i | ||||
\(163\) | −43.3094 | + | 63.5233i | −0.265702 | + | 0.389713i | −0.935784 | − | 0.352574i | \(-0.885307\pi\) |
0.670082 | + | 0.742287i | \(0.266259\pi\) | |||||||
\(164\) | 13.7344 | − | 17.2224i | 0.0837464 | − | 0.105015i | ||||
\(165\) | −73.0945 | − | 126.603i | −0.442997 | − | 0.767293i | ||||
\(166\) | 167.285 | + | 96.5822i | 1.00774 | + | 0.581821i | ||||
\(167\) | 7.38204 | + | 18.8091i | 0.0442038 | + | 0.112629i | 0.951271 | − | 0.308357i | \(-0.0997792\pi\) |
−0.907067 | + | 0.420987i | \(0.861684\pi\) | |||||||
\(168\) | 120.295 | − | 249.795i | 0.716041 | − | 1.48687i | ||||
\(169\) | 52.0338 | + | 16.0503i | 0.307892 | + | 0.0949721i | ||||
\(170\) | 11.5222 | − | 50.4821i | 0.0677776 | − | 0.296953i | ||||
\(171\) | − | 18.6215i | − | 0.108898i | ||||||
\(172\) | −32.1130 | − | 45.5166i | −0.186704 | − | 0.264631i | ||||
\(173\) | 141.138 | 0.815827 | 0.407914 | − | 0.913021i | \(-0.366256\pi\) | ||||
0.407914 | + | 0.913021i | \(0.366256\pi\) | |||||||
\(174\) | 26.4639 | + | 6.04021i | 0.152091 | + | 0.0347138i | ||||
\(175\) | 28.1786 | − | 91.3528i | 0.161021 | − | 0.522016i | ||||
\(176\) | −97.9925 | − | 47.1907i | −0.556776 | − | 0.268129i | ||||
\(177\) | 66.0059 | − | 25.9054i | 0.372914 | − | 0.146358i | ||||
\(178\) | 132.733 | − | 229.900i | 0.745688 | − | 1.29157i | ||||
\(179\) | −151.432 | + | 87.4293i | −0.845989 | + | 0.488432i | −0.859296 | − | 0.511479i | \(-0.829098\pi\) |
0.0133064 | + | 0.999911i | \(0.495764\pi\) | |||||||
\(180\) | −2.49416 | − | 1.98902i | −0.0138564 | − | 0.0110501i | ||||
\(181\) | 168.979 | + | 115.208i | 0.933588 | + | 0.636510i | 0.931599 | − | 0.363488i | \(-0.118414\pi\) |
0.00198956 | + | 0.999998i | \(0.499367\pi\) | |||||||
\(182\) | −249.493 | + | 37.6050i | −1.37084 | + | 0.206621i | ||||
\(183\) | 215.349 | − | 103.707i | 1.17677 | − | 0.566703i | ||||
\(184\) | −134.797 | + | 145.277i | −0.732595 | + | 0.789549i | ||||
\(185\) | 86.1364 | + | 12.9830i | 0.465602 | + | 0.0701782i | ||||
\(186\) | −126.241 | + | 38.9401i | −0.678713 | + | 0.209355i | ||||
\(187\) | −7.06974 | − | 94.3391i | −0.0378061 | − | 0.504487i | ||||
\(188\) | −55.5923 | − | 69.7106i | −0.295704 | − | 0.370801i | ||||
\(189\) | 97.4481 | − | 248.294i | 0.515599 | − | 1.31372i | ||||
\(190\) | 132.675 | + | 142.990i | 0.698291 | + | 0.752579i | ||||
\(191\) | 89.4992 | + | 131.271i | 0.468582 | + | 0.687283i | 0.985677 | − | 0.168645i | \(-0.0539390\pi\) |
−0.517095 | + | 0.855928i | \(0.672987\pi\) | |||||||
\(192\) | −213.827 | − | 16.0241i | −1.11368 | − | 0.0834591i | ||||
\(193\) | −48.7529 | − | 213.600i | −0.252605 | − | 1.10674i | −0.928966 | − | 0.370166i | \(-0.879301\pi\) |
0.676360 | − | 0.736571i | \(-0.263556\pi\) | |||||||
\(194\) | −144.900 | + | 33.0724i | −0.746905 | + | 0.170476i | ||||
\(195\) | −13.7235 | + | 183.127i | −0.0703769 | + | 0.939114i | ||||
\(196\) | −60.3034 | + | 41.1141i | −0.307670 | + | 0.209766i | ||||
\(197\) | 200.503 | − | 186.040i | 1.01778 | − | 0.944364i | 0.0193207 | − | 0.999813i | \(-0.493850\pi\) |
0.998461 | + | 0.0554494i | \(0.0176592\pi\) | |||||||
\(198\) | 11.3270 | + | 4.44553i | 0.0572072 | + | 0.0224522i | ||||
\(199\) | 146.041 | − | 116.464i | 0.733876 | − | 0.585247i | −0.183617 | − | 0.982998i | \(-0.558781\pi\) |
0.917493 | + | 0.397751i | \(0.130209\pi\) | |||||||
\(200\) | −80.8903 | + | 6.06189i | −0.404452 | + | 0.0303095i | ||||
\(201\) | 72.5163 | + | 235.092i | 0.360778 | + | 1.16961i | ||||
\(202\) | 11.8609 | − | 78.6917i | 0.0587172 | − | 0.389563i | ||||
\(203\) | −40.0347 | − | 37.1468i | −0.197215 | − | 0.182989i | ||||
\(204\) | −13.8610 | − | 28.7826i | −0.0679459 | − | 0.141091i | ||||
\(205\) | −10.0373 | − | 66.5929i | −0.0489623 | − | 0.324843i | ||||
\(206\) | 186.664 | − | 273.786i | 0.906138 | − | 1.32906i | ||||
\(207\) | 8.82228 | − | 11.0628i | 0.0426197 | − | 0.0534434i | ||||
\(208\) | 68.3137 | + | 118.323i | 0.328431 | + | 0.568859i | ||||
\(209\) | 308.635 | + | 178.190i | 1.47672 | + | 0.852585i | ||||
\(210\) | −75.7560 | − | 193.023i | −0.360743 | − | 0.919158i | ||||
\(211\) | −120.892 | + | 251.035i | −0.572948 | + | 1.18974i | 0.390191 | + | 0.920734i | \(0.372409\pi\) |
−0.963139 | + | 0.269004i | \(0.913305\pi\) | |||||||
\(212\) | −23.6594 | − | 7.29795i | −0.111601 | − | 0.0344243i | ||||
\(213\) | −62.4873 | + | 273.775i | −0.293368 | + | 1.28533i | ||||
\(214\) | 235.160i | 1.09888i | ||||||||
\(215\) | −168.784 | − | 22.6804i | −0.785041 | − | 0.105490i | ||||
\(216\) | −226.324 | −1.04779 | ||||||||
\(217\) | 259.137 | + | 59.1462i | 1.19418 | + | 0.272563i | ||||
\(218\) | −38.3589 | + | 124.356i | −0.175958 | + | 0.570442i | ||||
\(219\) | −91.0759 | − | 43.8598i | −0.415872 | − | 0.200273i | ||||
\(220\) | 56.8330 | − | 22.3053i | 0.258332 | − | 0.101388i | ||||
\(221\) | −59.4199 | + | 102.918i | −0.268869 | + | 0.465694i | ||||
\(222\) | −97.1676 | + | 56.0998i | −0.437692 | + | 0.252702i | ||||
\(223\) | −193.743 | − | 154.505i | −0.868802 | − | 0.692846i | 0.0839914 | − | 0.996466i | \(-0.473233\pi\) |
−0.952793 | + | 0.303620i | \(0.901805\pi\) | |||||||
\(224\) | 167.935 | + | 114.496i | 0.749711 | + | 0.511144i | ||||
\(225\) | 5.72696 | − | 0.863200i | 0.0254531 | − | 0.00383644i | ||||
\(226\) | −179.367 | + | 86.3787i | −0.793661 | + | 0.382207i | ||||
\(227\) | 213.168 | − | 229.741i | 0.939067 | − | 1.01207i | −0.0608361 | − | 0.998148i | \(-0.519377\pi\) |
0.999903 | − | 0.0139256i | \(-0.00443281\pi\) | |||||||
\(228\) | 119.000 | + | 17.9364i | 0.521931 | + | 0.0786685i | ||||
\(229\) | −15.8717 | + | 4.89578i | −0.0693088 | + | 0.0213789i | −0.329216 | − | 0.944255i | \(-0.606784\pi\) |
0.259907 | + | 0.965634i | \(0.416308\pi\) | |||||||
\(230\) | 11.0765 | + | 147.806i | 0.0481587 | + | 0.642633i | ||||
\(231\) | −236.206 | − | 296.193i | −1.02254 | − | 1.28222i | ||||
\(232\) | −16.9299 | + | 43.1367i | −0.0729738 | + | 0.185934i | ||||
\(233\) | 2.60551 | + | 2.80807i | 0.0111825 | + | 0.0120518i | 0.738618 | − | 0.674124i | \(-0.235479\pi\) |
−0.727436 | + | 0.686176i | \(0.759288\pi\) | |||||||
\(234\) | −8.61063 | − | 12.6295i | −0.0367975 | − | 0.0539721i | ||||
\(235\) | −271.828 | − | 20.3707i | −1.15672 | − | 0.0866839i | ||||
\(236\) | 6.58958 | + | 28.8708i | 0.0279219 | + | 0.122334i | ||||
\(237\) | −246.366 | + | 56.2314i | −1.03952 | + | 0.237263i | ||||
\(238\) | 10.0278 | − | 133.812i | 0.0421338 | − | 0.562236i | ||||
\(239\) | 123.241 | − | 84.0244i | 0.515654 | − | 0.351567i | −0.277364 | − | 0.960765i | \(-0.589461\pi\) |
0.793018 | + | 0.609198i | \(0.208509\pi\) | |||||||
\(240\) | −82.3105 | + | 76.3730i | −0.342961 | + | 0.318221i | ||||
\(241\) | 11.2235 | + | 4.40488i | 0.0465704 | + | 0.0182775i | 0.388512 | − | 0.921444i | \(-0.372989\pi\) |
−0.341942 | + | 0.939721i | \(0.611084\pi\) | |||||||
\(242\) | −26.4926 | + | 21.1271i | −0.109473 | + | 0.0873021i | ||||
\(243\) | 33.4238 | − | 2.50477i | 0.137547 | − | 0.0103077i | ||||
\(244\) | 29.4232 | + | 95.3876i | 0.120587 | + | 0.390933i | ||||
\(245\) | −33.2561 | + | 220.640i | −0.135739 | + | 0.900570i | ||||
\(246\) | 63.5868 | + | 58.9999i | 0.258483 | + | 0.239837i | ||||
\(247\) | −194.241 | − | 403.347i | −0.786403 | − | 1.63298i | ||||
\(248\) | −33.6140 | − | 223.014i | −0.135540 | − | 0.899252i | ||||
\(249\) | 205.241 | − | 301.033i | 0.824259 | − | 1.20897i | ||||
\(250\) | −139.349 | + | 174.738i | −0.557395 | + | 0.698951i | ||||
\(251\) | 200.126 | + | 346.629i | 0.797316 | + | 1.38099i | 0.921358 | + | 0.388714i | \(0.127081\pi\) |
−0.124043 | + | 0.992277i | \(0.539586\pi\) | |||||||
\(252\) | −7.15960 | − | 4.13360i | −0.0284111 | − | 0.0164032i | ||||
\(253\) | 98.9348 | + | 252.082i | 0.391047 | + | 0.996370i | ||||
\(254\) | 127.077 | − | 263.879i | 0.500304 | − | 1.03889i | ||||
\(255\) | −93.3274 | − | 28.7877i | −0.365990 | − | 0.112893i | ||||
\(256\) | 48.9152 | − | 214.311i | 0.191075 | − | 0.837154i | ||||
\(257\) | 144.207i | 0.561117i | 0.959837 | + | 0.280559i | \(0.0905197\pi\) | ||||
−0.959837 | + | 0.280559i | \(0.909480\pi\) | |||||||
\(258\) | 188.183 | − | 112.706i | 0.729393 | − | 0.436846i | ||||
\(259\) | 225.742 | 0.871590 | ||||||||
\(260\) | −74.7716 | − | 17.0661i | −0.287583 | − | 0.0656390i | ||||
\(261\) | 0.975230 | − | 3.16162i | 0.00373651 | − | 0.0121135i | ||||
\(262\) | 20.6851 | + | 9.96143i | 0.0789508 | + | 0.0380207i | ||||
\(263\) | −153.477 | + | 60.2354i | −0.583564 | + | 0.229032i | −0.638712 | − | 0.769446i | \(-0.720532\pi\) |
0.0551476 | + | 0.998478i | \(0.482437\pi\) | |||||||
\(264\) | −160.726 | + | 278.386i | −0.608812 | + | 1.05449i | ||||
\(265\) | −65.5535 | + | 37.8473i | −0.247372 | + | 0.142820i | ||||
\(266\) | 395.213 | + | 315.172i | 1.48576 | + | 1.18486i | ||||
\(267\) | −413.708 | − | 282.061i | −1.54947 | − | 1.05641i | ||||
\(268\) | −101.599 | + | 15.3136i | −0.379102 | + | 0.0571405i | ||||
\(269\) | 223.414 | − | 107.590i | 0.830534 | − | 0.399964i | 0.0302183 | − | 0.999543i | \(-0.490380\pi\) |
0.800315 | + | 0.599579i | \(0.204665\pi\) | |||||||
\(270\) | −115.131 | + | 124.082i | −0.426413 | + | 0.459564i | ||||
\(271\) | −31.7717 | − | 4.78881i | −0.117239 | − | 0.0176709i | 0.0901608 | − | 0.995927i | \(-0.471262\pi\) |
−0.207399 | + | 0.978256i | \(0.566500\pi\) | |||||||
\(272\) | −69.4348 | + | 21.4178i | −0.255275 | + | 0.0787420i | ||||
\(273\) | 35.5641 | + | 474.570i | 0.130271 | + | 1.73835i | ||||
\(274\) | −157.602 | − | 197.627i | −0.575191 | − | 0.721267i | ||||
\(275\) | −40.4948 | + | 103.179i | −0.147254 | + | 0.375197i | ||||
\(276\) | 62.1988 | + | 67.0343i | 0.225358 | + | 0.242878i | ||||
\(277\) | −77.4754 | − | 113.636i | −0.279695 | − | 0.410237i | 0.660526 | − | 0.750803i | \(-0.270333\pi\) |
−0.940220 | + | 0.340567i | \(0.889381\pi\) | |||||||
\(278\) | 104.783 | + | 7.85243i | 0.376919 | + | 0.0282462i | ||||
\(279\) | 3.58320 | + | 15.6990i | 0.0128430 | + | 0.0562689i | ||||
\(280\) | 345.117 | − | 78.7708i | 1.23256 | − | 0.281324i | ||||
\(281\) | 23.5433 | − | 314.164i | 0.0837841 | − | 1.11802i | −0.783894 | − | 0.620894i | \(-0.786770\pi\) |
0.867678 | − | 0.497126i | \(-0.165611\pi\) | |||||||
\(282\) | 290.097 | − | 197.785i | 1.02871 | − | 0.701364i | ||||
\(283\) | −239.604 | + | 222.320i | −0.846658 | + | 0.785584i | −0.978621 | − | 0.205671i | \(-0.934062\pi\) |
0.131963 | + | 0.991255i | \(0.457872\pi\) | |||||||
\(284\) | −109.171 | − | 42.8464i | −0.384404 | − | 0.150868i | ||||
\(285\) | 287.650 | − | 229.393i | 1.00930 | − | 0.804889i | ||||
\(286\) | 291.718 | − | 21.8612i | 1.01999 | − | 0.0764378i | ||||
\(287\) | −51.4416 | − | 166.770i | −0.179239 | − | 0.581079i | ||||
\(288\) | −1.83523 | + | 12.1759i | −0.00637231 | + | 0.0422775i | ||||
\(289\) | 165.521 | + | 153.581i | 0.572736 | + | 0.531422i | ||||
\(290\) | 15.0375 | + | 31.2256i | 0.0518534 | + | 0.107675i | ||||
\(291\) | 41.7816 | + | 277.203i | 0.143579 | + | 0.952587i | ||||
\(292\) | 23.7818 | − | 34.8814i | 0.0814444 | − | 0.119457i | ||||
\(293\) | 71.6209 | − | 89.8098i | 0.244440 | − | 0.306518i | −0.644443 | − | 0.764652i | \(-0.722911\pi\) |
0.888883 | + | 0.458134i | \(0.151482\pi\) | |||||||
\(294\) | −143.700 | − | 248.896i | −0.488777 | − | 0.846586i | ||||
\(295\) | 78.4048 | + | 45.2671i | 0.265779 | + | 0.153448i | ||||
\(296\) | −69.9786 | − | 178.302i | −0.236414 | − | 0.602373i | ||||
\(297\) | −134.181 | + | 278.630i | −0.451788 | + | 0.938148i | ||||
\(298\) | 83.0115 | + | 25.6057i | 0.278562 | + | 0.0859250i | ||||
\(299\) | 75.6965 | − | 331.648i | 0.253166 | − | 1.10919i | ||||
\(300\) | 37.4294i | 0.124765i | ||||||||
\(301\) | −441.274 | + | 7.07179i | −1.46603 | + | 0.0234943i | ||||
\(302\) | −12.1155 | −0.0401176 | ||||||||
\(303\) | −146.339 | − | 33.4009i | −0.482967 | − | 0.110234i | ||||
\(304\) | 80.6829 | − | 261.568i | 0.265404 | − | 0.860419i | ||||
\(305\) | 274.956 | + | 132.412i | 0.901495 | + | 0.434137i | ||||
\(306\) | 7.56740 | − | 2.96998i | 0.0247301 | − | 0.00970583i | ||||
\(307\) | −28.3438 | + | 49.0929i | −0.0923250 | + | 0.159912i | −0.908489 | − | 0.417909i | \(-0.862763\pi\) |
0.816164 | + | 0.577820i | \(0.196097\pi\) | |||||||
\(308\) | 137.021 | − | 79.1092i | 0.444874 | − | 0.256848i | ||||
\(309\) | −488.653 | − | 389.688i | −1.58140 | − | 1.26112i | ||||
\(310\) | −139.367 | − | 95.0191i | −0.449573 | − | 0.306513i | ||||
\(311\) | 3.94260 | − | 0.594252i | 0.0126772 | − | 0.00191078i | −0.142701 | − | 0.989766i | \(-0.545579\pi\) |
0.155378 | + | 0.987855i | \(0.450341\pi\) | |||||||
\(312\) | 363.815 | − | 175.204i | 1.16607 | − | 0.561552i | ||||
\(313\) | −222.237 | + | 239.515i | −0.710024 | + | 0.765223i | −0.980290 | − | 0.197562i | \(-0.936698\pi\) |
0.270267 | + | 0.962785i | \(0.412888\pi\) | |||||||
\(314\) | 46.6234 | + | 7.02734i | 0.148482 | + | 0.0223801i | ||||
\(315\) | −24.1517 | + | 7.44981i | −0.0766720 | + | 0.0236502i | ||||
\(316\) | −7.88676 | − | 105.242i | −0.0249581 | − | 0.333043i | ||||
\(317\) | 43.1644 | + | 54.1264i | 0.136165 | + | 0.170746i | 0.845239 | − | 0.534389i | \(-0.179458\pi\) |
−0.709074 | + | 0.705134i | \(0.750887\pi\) | |||||||
\(318\) | 35.6197 | − | 90.7574i | 0.112012 | − | 0.285401i | ||||
\(319\) | 43.0689 | + | 46.4173i | 0.135012 | + | 0.145509i | ||||
\(320\) | −154.225 | − | 226.207i | −0.481953 | − | 0.706896i | ||||
\(321\) | 442.312 | + | 33.1467i | 1.37792 | + | 0.103261i | ||||
\(322\) | 85.4723 | + | 374.479i | 0.265442 | + | 1.16298i | ||||
\(323\) | 232.122 | − | 52.9804i | 0.718645 | − | 0.164026i | ||||
\(324\) | −8.34590 | + | 111.368i | −0.0257590 | + | 0.343729i | ||||
\(325\) | 115.043 | − | 78.4351i | 0.353979 | − | 0.241339i | ||||
\(326\) | 92.6849 | − | 85.9990i | 0.284310 | − | 0.263801i | ||||
\(327\) | 228.495 | + | 89.6775i | 0.698760 | + | 0.274243i | ||||
\(328\) | −115.777 | + | 92.3288i | −0.352978 | + | 0.281490i | ||||
\(329\) | −704.437 | + | 52.7903i | −2.14115 | + | 0.160457i | ||||
\(330\) | 70.8636 | + | 229.734i | 0.214738 | + | 0.696164i | ||||
\(331\) | 4.38228 | − | 29.0745i | 0.0132395 | − | 0.0878384i | −0.981235 | − | 0.192814i | \(-0.938238\pi\) |
0.994475 | + | 0.104976i | \(0.0334766\pi\) | |||||||
\(332\) | 111.542 | + | 103.496i | 0.335969 | + | 0.311734i | ||||
\(333\) | 5.93375 | + | 12.3216i | 0.0178191 | + | 0.0370017i | ||||
\(334\) | −4.95261 | − | 32.8584i | −0.0148282 | − | 0.0983785i | ||||
\(335\) | −176.950 | + | 259.538i | −0.528208 | + | 0.774739i | ||||
\(336\) | −181.425 | + | 227.500i | −0.539956 | + | 0.677083i | ||||
\(337\) | −132.145 | − | 228.881i | −0.392120 | − | 0.679172i | 0.600609 | − | 0.799543i | \(-0.294925\pi\) |
−0.992729 | + | 0.120371i | \(0.961592\pi\) | |||||||
\(338\) | −77.5531 | − | 44.7753i | −0.229447 | − | 0.132471i | ||||
\(339\) | 137.187 | + | 349.547i | 0.404681 | + | 1.03111i | ||||
\(340\) | 17.6976 | − | 36.7494i | 0.0520517 | − | 0.108086i | ||||
\(341\) | −294.485 | − | 90.8366i | −0.863592 | − | 0.266383i | ||||
\(342\) | −6.81448 | + | 29.8562i | −0.0199254 | + | 0.0872988i | ||||
\(343\) | 75.3292i | 0.219619i | ||||||||
\(344\) | 142.378 | + | 346.349i | 0.413889 | + | 1.00683i | ||||
\(345\) | 279.568 | 0.810343 | ||||||||
\(346\) | −226.289 | − | 51.6490i | −0.654015 | − | 0.149275i | ||||
\(347\) | 28.8395 | − | 93.4953i | 0.0831109 | − | 0.269439i | −0.904473 | − | 0.426531i | \(-0.859736\pi\) |
0.987584 | + | 0.157092i | \(0.0502118\pi\) | |||||||
\(348\) | 19.2649 | + | 9.27749i | 0.0553589 | + | 0.0266594i | ||||
\(349\) | −124.535 | + | 48.8763i | −0.356833 | + | 0.140047i | −0.536984 | − | 0.843592i | \(-0.680437\pi\) |
0.180151 | + | 0.983639i | \(0.442341\pi\) | |||||||
\(350\) | −78.6095 | + | 136.156i | −0.224599 | + | 0.389016i | ||||
\(351\) | 336.436 | − | 194.242i | 0.958508 | − | 0.553395i | ||||
\(352\) | −184.244 | − | 146.929i | −0.523419 | − | 0.417413i | ||||
\(353\) | 115.218 | + | 78.5545i | 0.326397 | + | 0.222534i | 0.715421 | − | 0.698694i | \(-0.246235\pi\) |
−0.389023 | + | 0.921228i | \(0.627187\pi\) | |||||||
\(354\) | −115.308 | + | 17.3799i | −0.325730 | + | 0.0490959i | ||||
\(355\) | −323.036 | + | 155.566i | −0.909961 | + | 0.438214i | ||||
\(356\) | 142.234 | − | 153.291i | 0.399533 | − | 0.430594i | ||||
\(357\) | −250.273 | − | 37.7226i | −0.701046 | − | 0.105666i | ||||
\(358\) | 274.788 | − | 84.7609i | 0.767565 | − | 0.236762i | ||||
\(359\) | 21.6089 | + | 288.351i | 0.0601920 | + | 0.803207i | 0.942856 | + | 0.333201i | \(0.108129\pi\) |
−0.882664 | + | 0.470005i | \(0.844252\pi\) | |||||||
\(360\) | 13.3711 | + | 16.7668i | 0.0371420 | + | 0.0465746i | ||||
\(361\) | −195.791 | + | 498.869i | −0.542359 | + | 1.38191i | ||||
\(362\) | −228.768 | − | 246.553i | −0.631955 | − | 0.681085i | ||||
\(363\) | 36.0037 | + | 52.8077i | 0.0991837 | + | 0.145476i | ||||
\(364\) | −198.196 | − | 14.8528i | −0.544495 | − | 0.0408043i | ||||
\(365\) | −28.7200 | − | 125.831i | −0.0786851 | − | 0.344742i | ||||
\(366\) | −383.224 | + | 87.4683i | −1.04706 | + | 0.238984i | ||||
\(367\) | −0.896339 | + | 11.9608i | −0.00244234 | + | 0.0325908i | −0.998292 | − | 0.0584247i | \(-0.981392\pi\) |
0.995849 | + | 0.0910155i | \(0.0290113\pi\) | |||||||
\(368\) | 171.855 | − | 117.169i | 0.466997 | − | 0.318393i | ||||
\(369\) | 7.75054 | − | 7.19145i | 0.0210042 | − | 0.0194890i | ||||
\(370\) | −133.353 | − | 52.3371i | −0.360413 | − | 0.141452i | ||||
\(371\) | −153.365 | + | 122.304i | −0.413382 | + | 0.329661i | ||||
\(372\) | −103.776 | + | 7.77690i | −0.278967 | + | 0.0209057i | ||||
\(373\) | −113.795 | − | 368.915i | −0.305081 | − | 0.989048i | −0.970199 | − | 0.242310i | \(-0.922095\pi\) |
0.665118 | − | 0.746738i | \(-0.268381\pi\) | |||||||
\(374\) | −23.1881 | + | 153.843i | −0.0620001 | + | 0.411344i | ||||
\(375\) | 309.022 | + | 286.730i | 0.824058 | + | 0.764615i | ||||
\(376\) | 260.068 | + | 540.036i | 0.691669 | + | 1.43627i | ||||
\(377\) | −11.8552 | − | 78.6541i | −0.0314461 | − | 0.208632i | ||||
\(378\) | −247.103 | + | 362.433i | −0.653710 | + | 0.958817i | ||||
\(379\) | 305.439 | − | 383.008i | 0.805907 | − | 1.01058i | −0.193658 | − | 0.981069i | \(-0.562035\pi\) |
0.999565 | − | 0.0295059i | \(-0.00939340\pi\) | |||||||
\(380\) | 76.8275 | + | 133.069i | 0.202178 | + | 0.350182i | ||||
\(381\) | −478.416 | − | 276.214i | −1.25569 | − | 0.724971i | ||||
\(382\) | −95.4573 | − | 243.221i | −0.249888 | − | 0.636705i | ||||
\(383\) | 135.866 | − | 282.129i | 0.354742 | − | 0.736630i | −0.644875 | − | 0.764288i | \(-0.723091\pi\) |
0.999617 | + | 0.0276579i | \(0.00880490\pi\) | |||||||
\(384\) | 102.172 | + | 31.5160i | 0.266074 | + | 0.0820728i | ||||
\(385\) | 107.635 | − | 471.580i | 0.279571 | − | 1.22488i | ||||
\(386\) | 360.310i | 0.933445i | ||||||||
\(387\) | −11.9851 | − | 23.9000i | −0.0309693 | − | 0.0617570i | ||||
\(388\) | −117.077 | −0.301744 | ||||||||
\(389\) | −222.474 | − | 50.7783i | −0.571913 | − | 0.130535i | −0.0732226 | − | 0.997316i | \(-0.523328\pi\) |
−0.498690 | + | 0.866780i | \(0.666185\pi\) | |||||||
\(390\) | 89.0180 | − | 288.589i | 0.228251 | − | 0.739972i | ||||
\(391\) | 163.001 | + | 78.4973i | 0.416883 | + | 0.200760i | ||||
\(392\) | 456.725 | − | 179.251i | 1.16511 | − | 0.457273i | ||||
\(393\) | 21.6521 | − | 37.5025i | 0.0550943 | − | 0.0954261i | ||||
\(394\) | −389.551 | + | 224.907i | −0.988707 | + | 0.570830i | ||||
\(395\) | −252.256 | − | 201.168i | −0.638623 | − | 0.509285i | ||||
\(396\) | 7.91966 | + | 5.39953i | 0.0199991 | + | 0.0136352i | ||||
\(397\) | 551.080 | − | 83.0620i | 1.38811 | − | 0.209224i | 0.587896 | − | 0.808937i | \(-0.299956\pi\) |
0.800216 | + | 0.599712i | \(0.204718\pi\) | |||||||
\(398\) | −276.770 | + | 133.286i | −0.695403 | + | 0.334888i | ||||
\(399\) | 648.512 | − | 698.930i | 1.62534 | − | 1.75170i | ||||
\(400\) | 84.1839 | + | 12.6887i | 0.210460 | + | 0.0317217i | ||||
\(401\) | 673.874 | − | 207.863i | 1.68048 | − | 0.518361i | 0.699863 | − | 0.714277i | \(-0.253244\pi\) |
0.980621 | + | 0.195916i | \(0.0627680\pi\) | |||||||
\(402\) | −30.2355 | − | 403.464i | −0.0752126 | − | 1.00364i | ||||
\(403\) | 241.370 | + | 302.668i | 0.598933 | + | 0.751038i | ||||
\(404\) | 22.9024 | − | 58.3544i | 0.0566892 | − | 0.144442i | ||||
\(405\) | 232.232 | + | 250.287i | 0.573413 | + | 0.617992i | ||||
\(406\) | 50.5946 | + | 74.2086i | 0.124617 | + | 0.182780i | ||||
\(407\) | −260.999 | − | 19.5592i | −0.641275 | − | 0.0480569i | ||||
\(408\) | 47.7879 | + | 209.373i | 0.117127 | + | 0.513168i | ||||
\(409\) | 170.719 | − | 38.9656i | 0.417407 | − | 0.0952703i | −0.00865923 | − | 0.999963i | \(-0.502756\pi\) |
0.426066 | + | 0.904692i | \(0.359899\pi\) | |||||||
\(410\) | −8.27653 | + | 110.443i | −0.0201867 | + | 0.269372i | ||||
\(411\) | −393.931 | + | 268.577i | −0.958469 | + | 0.653473i | ||||
\(412\) | 191.345 | − | 177.542i | 0.464429 | − | 0.430928i | ||||
\(413\) | 218.399 | + | 85.7152i | 0.528811 | + | 0.207543i | ||||
\(414\) | −18.1933 | + | 14.5087i | −0.0439452 | + | 0.0350451i | ||||
\(415\) | 463.887 | − | 34.7635i | 1.11780 | − | 0.0837676i | ||||
\(416\) | 87.2560 | + | 282.877i | 0.209750 | + | 0.679992i | ||||
\(417\) | 29.5392 | − | 195.980i | 0.0708375 | − | 0.469976i | ||||
\(418\) | −429.631 | − | 398.639i | −1.02783 | − | 0.953683i | ||||
\(419\) | −7.72791 | − | 16.0472i | −0.0184437 | − | 0.0382988i | 0.891543 | − | 0.452935i | \(-0.149623\pi\) |
−0.909987 | + | 0.414636i | \(0.863909\pi\) | |||||||
\(420\) | −24.3447 | − | 161.516i | −0.0579635 | − | 0.384563i | ||||
\(421\) | −174.091 | + | 255.344i | −0.413518 | + | 0.606519i | −0.975332 | − | 0.220745i | \(-0.929151\pi\) |
0.561814 | + | 0.827264i | \(0.310104\pi\) | |||||||
\(422\) | 285.694 | − | 358.248i | 0.676999 | − | 0.848930i | ||||
\(423\) | −21.3980 | − | 37.0623i | −0.0505862 | − | 0.0876178i | ||||
\(424\) | 144.144 | + | 83.2218i | 0.339963 | + | 0.196278i | ||||
\(425\) | 27.0539 | + | 68.9322i | 0.0636562 | + | 0.162193i | ||||
\(426\) | 200.374 | − | 416.081i | 0.470361 | − | 0.976715i | ||||
\(427\) | 755.726 | + | 233.111i | 1.76985 | + | 0.545927i | ||||
\(428\) | −41.2203 | + | 180.598i | −0.0963091 | + | 0.421958i | ||||
\(429\) | − | 551.772i | − | 1.28618i | ||||||
\(430\) | 262.314 | + | 98.1297i | 0.610033 | + | 0.228209i | ||||
\(431\) | −647.482 | −1.50228 | −0.751139 | − | 0.660144i | \(-0.770495\pi\) | ||||
−0.751139 | + | 0.660144i | \(0.770495\pi\) | |||||||
\(432\) | 231.578 | + | 52.8561i | 0.536059 | + | 0.122352i | ||||
\(433\) | −98.5622 | + | 319.531i | −0.227626 | + | 0.737947i | 0.767650 | + | 0.640869i | \(0.221426\pi\) |
−0.995277 | + | 0.0970778i | \(0.969050\pi\) | |||||||
\(434\) | −393.834 | − | 189.660i | −0.907451 | − | 0.437005i | ||||
\(435\) | 60.8518 | − | 23.8826i | 0.139889 | − | 0.0549024i | ||||
\(436\) | −51.2566 | + | 88.7791i | −0.117561 | + | 0.203622i | ||||
\(437\) | −590.226 | + | 340.767i | −1.35063 | + | 0.779787i | ||||
\(438\) | 129.973 | + | 103.650i | 0.296742 | + | 0.236644i | ||||
\(439\) | −19.2068 | − | 13.0950i | −0.0437512 | − | 0.0298291i | 0.541247 | − | 0.840864i | \(-0.317952\pi\) |
−0.584998 | + | 0.811035i | \(0.698905\pi\) | |||||||
\(440\) | −405.844 | + | 61.1712i | −0.922373 | + | 0.139025i | ||||
\(441\) | −31.5619 | + | 15.1994i | −0.0715688 | + | 0.0344657i | ||||
\(442\) | 132.932 | − | 143.266i | 0.300750 | − | 0.324132i | ||||
\(443\) | −18.3887 | − | 2.77165i | −0.0415094 | − | 0.00625654i | 0.128255 | − | 0.991741i | \(-0.459062\pi\) |
−0.169764 | + | 0.985485i | \(0.554301\pi\) | |||||||
\(444\) | −84.4560 | + | 26.0512i | −0.190216 | + | 0.0586740i | ||||
\(445\) | −47.7754 | − | 637.518i | −0.107360 | − | 1.43263i | ||||
\(446\) | 254.091 | + | 318.620i | 0.569710 | + | 0.714394i | ||||
\(447\) | 59.8624 | − | 152.527i | 0.133920 | − | 0.341223i | ||||
\(448\) | −482.577 | − | 520.094i | −1.07718 | − | 1.16092i | ||||
\(449\) | −84.4599 | − | 123.880i | −0.188107 | − | 0.275902i | 0.720588 | − | 0.693364i | \(-0.243872\pi\) |
−0.908694 | + | 0.417462i | \(0.862920\pi\) | |||||||
\(450\) | −9.49801 | − | 0.711778i | −0.0211067 | − | 0.00158173i | ||||
\(451\) | 45.0264 | + | 197.273i | 0.0998368 | + | 0.437413i | ||||
\(452\) | −152.891 | + | 34.8964i | −0.338254 | + | 0.0772044i | ||||
\(453\) | −1.70773 | + | 22.7880i | −0.00376982 | + | 0.0503047i | ||||
\(454\) | −425.849 | + | 290.339i | −0.937994 | + | 0.639513i | ||||
\(455\) | −445.422 | + | 413.291i | −0.978950 | + | 0.908333i | ||||
\(456\) | −753.086 | − | 295.564i | −1.65150 | − | 0.648168i | ||||
\(457\) | 249.097 | − | 198.648i | 0.545070 | − | 0.434679i | −0.311848 | − | 0.950132i | \(-0.600948\pi\) |
0.856918 | + | 0.515453i | \(0.172376\pi\) | |||||||
\(458\) | 27.2390 | − | 2.04128i | 0.0594738 | − | 0.00445695i | ||||
\(459\) | 60.8990 | + | 197.430i | 0.132677 | + | 0.430130i | ||||
\(460\) | −17.4017 | + | 115.453i | −0.0378299 | + | 0.250985i | ||||
\(461\) | 0.232529 | + | 0.215756i | 0.000504402 | + | 0.000468017i | 0.680425 | − | 0.732818i | \(-0.261795\pi\) |
−0.679920 | + | 0.733286i | \(0.737986\pi\) | |||||||
\(462\) | 270.323 | + | 561.331i | 0.585114 | + | 1.21500i | ||||
\(463\) | 119.703 | + | 794.176i | 0.258537 | + | 1.71528i | 0.621445 | + | 0.783458i | \(0.286546\pi\) |
−0.362908 | + | 0.931825i | \(0.618216\pi\) | |||||||
\(464\) | 27.3972 | − | 40.1843i | 0.0590457 | − | 0.0866041i | ||||
\(465\) | −198.365 | + | 248.742i | −0.426592 | + | 0.534930i | ||||
\(466\) | −3.14986 | − | 5.45571i | −0.00675935 | − | 0.0117075i | ||||
\(467\) | −396.564 | − | 228.956i | −0.849174 | − | 0.490271i | 0.0111982 | − | 0.999937i | \(-0.496435\pi\) |
−0.860372 | + | 0.509667i | \(0.829769\pi\) | |||||||
\(468\) | −4.39900 | − | 11.2085i | −0.00939957 | − | 0.0239497i | ||||
\(469\) | −353.196 | + | 733.418i | −0.753082 | + | 1.56379i | ||||
\(470\) | 428.373 | + | 132.135i | 0.911431 | + | 0.281139i | ||||
\(471\) | 19.7894 | − | 86.7032i | 0.0420158 | − | 0.184083i | ||||
\(472\) | − | 199.074i | − | 0.421767i | ||||||
\(473\) | 510.807 | + | 30.0575i | 1.07993 | + | 0.0635464i | ||||
\(474\) | 415.581 | 0.876752 | ||||||||
\(475\) | −271.963 | − | 62.0738i | −0.572554 | − | 0.130682i | ||||
\(476\) | 31.1565 | − | 101.007i | 0.0654549 | − | 0.212200i | ||||
\(477\) | −10.7070 | − | 5.15620i | −0.0224464 | − | 0.0108096i | ||||
\(478\) | −228.343 | + | 89.6181i | −0.477706 | + | 0.187486i | ||||
\(479\) | 98.7296 | − | 171.005i | 0.206116 | − | 0.357004i | −0.744372 | − | 0.667766i | \(-0.767251\pi\) |
0.950488 | + | 0.310762i | \(0.100584\pi\) | |||||||
\(480\) | −210.692 | + | 121.643i | −0.438941 | + | 0.253423i | ||||
\(481\) | 257.053 | + | 204.993i | 0.534413 | + | 0.426180i | ||||
\(482\) | −16.3828 | − | 11.1696i | −0.0339892 | − | 0.0231735i | ||||
\(483\) | 716.403 | − | 107.980i | 1.48324 | − | 0.223562i | ||||
\(484\) | −24.0490 | + | 11.5814i | −0.0496880 | + | 0.0239285i | ||||
\(485\) | −243.453 | + | 262.380i | −0.501965 | + | 0.540990i | ||||
\(486\) | −54.5056 | − | 8.21540i | −0.112152 | − | 0.0169041i | ||||
\(487\) | 626.234 | − | 193.168i | 1.28590 | − | 0.396648i | 0.424896 | − | 0.905242i | \(-0.360311\pi\) |
0.861006 | + | 0.508594i | \(0.169835\pi\) | |||||||
\(488\) | −50.1477 | − | 669.175i | −0.102762 | − | 1.37126i | ||||
\(489\) | −148.691 | − | 186.453i | −0.304071 | − | 0.381294i | ||||
\(490\) | 134.062 | − | 341.585i | 0.273597 | − | 0.697113i | ||||
\(491\) | −165.458 | − | 178.321i | −0.336982 | − | 0.363180i | 0.541713 | − | 0.840563i | \(-0.317776\pi\) |
−0.878695 | + | 0.477383i | \(0.841585\pi\) | |||||||
\(492\) | 38.4914 | + | 56.4565i | 0.0782345 | + | 0.114749i | ||||
\(493\) | 42.1851 | + | 3.16134i | 0.0855682 | + | 0.00641245i | ||||
\(494\) | 163.827 | + | 717.774i | 0.331634 | + | 1.45298i | ||||
\(495\) | 28.5693 | − | 6.52075i | 0.0577157 | − | 0.0131732i | ||||
\(496\) | −17.6889 | + | 236.042i | −0.0356631 | + | 0.475891i | ||||
\(497\) | −767.705 | + | 523.412i | −1.54468 | + | 1.05314i | ||||
\(498\) | −439.228 | + | 407.544i | −0.881983 | + | 0.818361i | ||||
\(499\) | 289.932 | + | 113.790i | 0.581025 | + | 0.228036i | 0.637606 | − | 0.770362i | \(-0.279925\pi\) |
−0.0565811 | + | 0.998398i | \(0.518020\pi\) | |||||||
\(500\) | −137.646 | + | 109.769i | −0.275292 | + | 0.219538i | ||||
\(501\) | −62.5013 | + | 4.68383i | −0.124753 | + | 0.00934896i | ||||
\(502\) | −194.018 | − | 628.991i | −0.386490 | − | 1.25297i | ||||
\(503\) | −37.2168 | + | 246.917i | −0.0739897 | + | 0.490889i | 0.920890 | + | 0.389823i | \(0.127464\pi\) |
−0.994880 | + | 0.101067i | \(0.967774\pi\) | |||||||
\(504\) | 40.7399 | + | 37.8011i | 0.0808332 | + | 0.0750022i | ||||
\(505\) | −83.1537 | − | 172.671i | −0.164661 | − | 0.341922i | ||||
\(506\) | −66.3754 | − | 440.372i | −0.131177 | − | 0.870300i | ||||
\(507\) | −95.1490 | + | 139.558i | −0.187671 | + | 0.275262i | ||||
\(508\) | 143.847 | − | 180.378i | 0.283163 | − | 0.355075i | ||||
\(509\) | −167.886 | − | 290.787i | −0.329835 | − | 0.571291i | 0.652644 | − | 0.757665i | \(-0.273660\pi\) |
−0.982479 | + | 0.186374i | \(0.940326\pi\) | |||||||
\(510\) | 139.099 | + | 80.3086i | 0.272742 | + | 0.157468i | ||||
\(511\) | −122.197 | − | 311.352i | −0.239133 | − | 0.609300i | ||||
\(512\) | −216.677 | + | 449.934i | −0.423197 | + | 0.878778i | ||||
\(513\) | −743.736 | − | 229.412i | −1.44978 | − | 0.447197i | ||||
\(514\) | 52.7721 | − | 231.210i | 0.102670 | − | 0.449825i | ||||
\(515\) | − | 798.009i | − | 1.54953i | ||||||
\(516\) | 164.276 | − | 53.5700i | 0.318365 | − | 0.103818i | ||||
\(517\) | 819.033 | 1.58420 | ||||||||
\(518\) | −361.936 | − | 82.6094i | −0.698717 | − | 0.159478i | ||||
\(519\) | −129.043 | + | 418.346i | −0.248637 | + | 0.806062i | ||||
\(520\) | 464.517 | + | 223.700i | 0.893302 | + | 0.430191i | ||||
\(521\) | −483.156 | + | 189.625i | −0.927363 | + | 0.363963i | −0.780473 | − | 0.625190i | \(-0.785022\pi\) |
−0.146890 | + | 0.989153i | \(0.546926\pi\) | |||||||
\(522\) | −2.72059 | + | 4.71220i | −0.00521185 | + | 0.00902720i | ||||
\(523\) | 727.183 | − | 419.839i | 1.39041 | − | 0.802752i | 0.397046 | − | 0.917799i | \(-0.370035\pi\) |
0.993360 | + | 0.115047i | \(0.0367019\pi\) | |||||||
\(524\) | 14.1396 | + | 11.2760i | 0.0269840 | + | 0.0215190i | ||||
\(525\) | 245.014 | + | 167.048i | 0.466694 | + | 0.318186i | ||||
\(526\) | 268.116 | − | 40.4120i | 0.509726 | − | 0.0768288i | ||||
\(527\) | −185.498 | + | 89.3312i | −0.351989 | + | 0.169509i | ||||
\(528\) | 229.472 | − | 247.312i | 0.434607 | − | 0.468395i | ||||
\(529\) | 11.0020 | + | 1.65829i | 0.0207978 | + | 0.00313476i | ||||
\(530\) | 118.953 | − | 36.6922i | 0.224440 | − | 0.0692305i | ||||
\(531\) | 1.06218 | + | 14.1738i | 0.00200034 | + | 0.0266927i | ||||
\(532\) | 248.270 | + | 311.320i | 0.466672 | + | 0.585188i | ||||
\(533\) | 92.8644 | − | 236.615i | 0.174230 | − | 0.443930i | ||||
\(534\) | 560.086 | + | 603.629i | 1.04885 | + | 1.13039i | ||||
\(535\) | 319.022 | + | 467.920i | 0.596303 | + | 0.874616i | ||||
\(536\) | 688.780 | + | 51.6169i | 1.28504 | + | 0.0963002i | ||||
\(537\) | −120.694 | − | 528.795i | −0.224756 | − | 0.984721i | ||||
\(538\) | −397.575 | + | 90.7439i | −0.738987 | + | 0.168669i | ||||
\(539\) | 50.1011 | − | 668.553i | 0.0929520 | − | 1.24036i | ||||
\(540\) | −110.168 | + | 75.1114i | −0.204015 | + | 0.139095i | ||||
\(541\) | 301.901 | − | 280.123i | 0.558042 | − | 0.517787i | −0.349954 | − | 0.936767i | \(-0.613803\pi\) |
0.907996 | + | 0.418980i | \(0.137612\pi\) | |||||||
\(542\) | 49.1876 | + | 19.3047i | 0.0907521 | + | 0.0356176i | ||||
\(543\) | −495.986 | + | 395.536i | −0.913418 | + | 0.728427i | ||||
\(544\) | −156.998 | + | 11.7654i | −0.288599 | + | 0.0216275i | ||||
\(545\) | 92.3777 | + | 299.481i | 0.169500 | + | 0.549506i | ||||
\(546\) | 116.647 | − | 773.901i | 0.213639 | − | 1.41740i | ||||
\(547\) | −782.610 | − | 726.156i | −1.43073 | − | 1.32752i | −0.863874 | − | 0.503707i | \(-0.831969\pi\) |
−0.566856 | − | 0.823817i | \(-0.691841\pi\) | |||||||
\(548\) | −86.3938 | − | 179.399i | −0.157653 | − | 0.327370i | ||||
\(549\) | 7.14092 | + | 47.3769i | 0.0130071 | + | 0.0862967i | ||||
\(550\) | 102.684 | − | 150.610i | 0.186698 | − | 0.273836i | ||||
\(551\) | −99.3599 | + | 124.593i | −0.180326 | + | 0.226122i | ||||
\(552\) | −307.369 | − | 532.379i | −0.556828 | − | 0.964454i | ||||
\(553\) | −724.114 | − | 418.067i | −1.30943 | − | 0.755999i | ||||
\(554\) | 82.6331 | + | 210.546i | 0.149157 | + | 0.380047i | ||||
\(555\) | −117.237 | + | 243.446i | −0.211238 | + | 0.438641i | ||||
\(556\) | 79.0949 | + | 24.3975i | 0.142257 | + | 0.0438805i | ||||
\(557\) | −132.052 | + | 578.558i | −0.237077 | + | 1.03870i | 0.706542 | + | 0.707671i | \(0.250254\pi\) |
−0.943619 | + | 0.331032i | \(0.892603\pi\) | |||||||
\(558\) | − | 26.4818i | − | 0.0474584i | ||||||
\(559\) | −508.902 | − | 392.662i | −0.910379 | − | 0.702436i | ||||
\(560\) | −371.525 | −0.663438 | ||||||||
\(561\) | 286.094 | + | 65.2990i | 0.509971 | + | 0.116397i | ||||
\(562\) | −152.715 | + | 495.089i | −0.271734 | + | 0.880941i | ||||
\(563\) | 997.875 | + | 480.551i | 1.77242 | + | 0.853555i | 0.964419 | + | 0.264380i | \(0.0851672\pi\) |
0.808005 | + | 0.589175i | \(0.200547\pi\) | |||||||
\(564\) | 257.457 | − | 101.044i | 0.456483 | − | 0.179157i | ||||
\(565\) | −239.720 | + | 415.208i | −0.424284 | + | 0.734881i | ||||
\(566\) | 465.519 | − | 268.768i | 0.822472 | − | 0.474854i | ||||
\(567\) | 691.773 | + | 551.671i | 1.22006 | + | 0.972964i | ||||
\(568\) | 651.402 | + | 444.118i | 1.14683 | + | 0.781898i | ||||
\(569\) | −672.418 | + | 101.351i | −1.18175 | + | 0.178121i | −0.710384 | − | 0.703814i | \(-0.751479\pi\) |
−0.471371 | + | 0.881935i | \(0.656241\pi\) | |||||||
\(570\) | −545.140 | + | 262.526i | −0.956387 | + | 0.460572i | ||||
\(571\) | 298.134 | − | 321.313i | 0.522127 | − | 0.562719i | −0.415843 | − | 0.909437i | \(-0.636513\pi\) |
0.937970 | + | 0.346718i | \(0.112704\pi\) | |||||||
\(572\) | 227.864 | + | 34.3450i | 0.398364 | + | 0.0600438i | ||||
\(573\) | −470.929 | + | 145.262i | −0.821865 | + | 0.253512i | ||||
\(574\) | 21.4484 | + | 286.210i | 0.0373666 | + | 0.498623i | ||||
\(575\) | −132.161 | − | 165.725i | −0.229845 | − | 0.288217i | ||||
\(576\) | 15.7032 | − | 40.0112i | 0.0272626 | − | 0.0694639i | ||||
\(577\) | −246.619 | − | 265.792i | −0.427415 | − | 0.460644i | 0.482221 | − | 0.876050i | \(-0.339830\pi\) |
−0.909636 | + | 0.415405i | \(0.863640\pi\) | |||||||
\(578\) | −209.180 | − | 306.811i | −0.361903 | − | 0.530814i | ||||
\(579\) | 677.705 | + | 50.7870i | 1.17048 | + | 0.0877150i | ||||
\(580\) | 6.07503 | + | 26.6164i | 0.0104742 | + | 0.0458904i | ||||
\(581\) | 1175.30 | − | 268.254i | 2.02289 | − | 0.461711i | ||||
\(582\) | 34.4523 | − | 459.734i | 0.0591964 | − | 0.789921i | ||||
\(583\) | 187.915 | − | 128.118i | 0.322324 | − | 0.219757i | ||||
\(584\) | −208.042 | + | 193.035i | −0.356236 | + | 0.330539i | ||||
\(585\) | −34.2667 | − | 13.4487i | −0.0585755 | − | 0.0229892i | ||||
\(586\) | −147.697 | + | 117.784i | −0.252042 | + | 0.200997i | ||||
\(587\) | −375.387 | + | 28.1314i | −0.639501 | + | 0.0479240i | −0.390535 | − | 0.920588i | \(-0.627710\pi\) |
−0.248966 | + | 0.968512i | \(0.580091\pi\) | |||||||
\(588\) | −66.7306 | − | 216.335i | −0.113487 | − | 0.367917i | ||||
\(589\) | 115.597 | − | 766.934i | 0.196259 | − | 1.30210i | ||||
\(590\) | −109.142 | − | 101.269i | −0.184987 | − | 0.171643i | ||||
\(591\) | 368.118 | + | 764.406i | 0.622874 | + | 1.29341i | ||||
\(592\) | 29.9620 | + | 198.785i | 0.0506114 | + | 0.335785i | ||||
\(593\) | 188.330 | − | 276.230i | 0.317589 | − | 0.465818i | −0.633937 | − | 0.773384i | \(-0.718562\pi\) |
0.951527 | + | 0.307566i | \(0.0995146\pi\) | |||||||
\(594\) | 317.099 | − | 397.629i | 0.533836 | − | 0.669409i | ||||
\(595\) | −161.578 | − | 279.862i | −0.271560 | − | 0.470356i | ||||
\(596\) | 59.2627 | + | 34.2153i | 0.0994340 | + | 0.0574082i | ||||
\(597\) | 211.684 | + | 539.363i | 0.354580 | + | 0.903456i | ||||
\(598\) | −242.731 | + | 504.036i | −0.405905 | + | 0.842870i | ||||
\(599\) | 542.264 | + | 167.266i | 0.905283 | + | 0.279243i | 0.712230 | − | 0.701946i | \(-0.247685\pi\) |
0.193052 | + | 0.981188i | \(0.438161\pi\) | |||||||
\(600\) | 55.9901 | − | 245.309i | 0.0933169 | − | 0.408848i | ||||
\(601\) | − | 398.727i | − | 0.663440i | −0.943378 | − | 0.331720i | \(-0.892371\pi\) | ||
0.943378 | − | 0.331720i | \(-0.107629\pi\) | |||||||
\(602\) | 710.090 | + | 150.144i | 1.17955 | + | 0.249409i | ||||
\(603\) | −49.3158 | −0.0817840 | ||||||||
\(604\) | −9.30445 | − | 2.12368i | −0.0154047 | − | 0.00351603i | ||||
\(605\) | −24.0532 | + | 77.9787i | −0.0397574 | + | 0.128890i | ||||
\(606\) | 222.405 | + | 107.105i | 0.367005 | + | 0.176740i | ||||
\(607\) | −571.992 | + | 224.490i | −0.942326 | + | 0.369836i | −0.786249 | − | 0.617909i | \(-0.787980\pi\) |
−0.156077 | + | 0.987745i | \(0.549885\pi\) | |||||||
\(608\) | 296.542 | − | 513.626i | 0.487733 | − | 0.844779i | ||||
\(609\) | 146.710 | − | 84.7032i | 0.240903 | − | 0.139086i | ||||
\(610\) | −392.386 | − | 312.917i | −0.643256 | − | 0.512979i | ||||
\(611\) | −850.083 | − | 579.577i | −1.39130 | − | 0.948571i | ||||
\(612\) | 6.33218 | − | 0.954423i | 0.0103467 | − | 0.00155952i | ||||
\(613\) | −585.091 | + | 281.765i | −0.954472 | + | 0.459649i | −0.845252 | − | 0.534368i | \(-0.820550\pi\) |
−0.109220 | + | 0.994018i | \(0.534835\pi\) | |||||||
\(614\) | 63.4095 | − | 68.3391i | 0.103273 | − | 0.111302i | ||||
\(615\) | 206.565 | + | 31.1346i | 0.335877 | + | 0.0506253i | ||||
\(616\) | −1016.36 | + | 313.506i | −1.64994 | + | 0.508939i | ||||
\(617\) | 48.3794 | + | 645.579i | 0.0784108 | + | 1.04632i | 0.888157 | + | 0.459539i | \(0.151985\pi\) |
−0.809747 | + | 0.586780i | \(0.800396\pi\) | |||||||
\(618\) | 640.860 | + | 803.614i | 1.03699 | + | 1.30035i | ||||
\(619\) | −3.90982 | + | 9.96205i | −0.00631634 | + | 0.0160938i | −0.933997 | − | 0.357280i | \(-0.883704\pi\) |
0.927681 | + | 0.373374i | \(0.121799\pi\) | |||||||
\(620\) | −90.3756 | − | 97.4017i | −0.145767 | − | 0.157100i | ||||
\(621\) | −333.155 | − | 488.649i | −0.536482 | − | 0.786874i | ||||
\(622\) | −6.53871 | − | 0.490009i | −0.0105124 | − | 0.000787795i | ||||
\(623\) | −368.661 | − | 1615.21i | −0.591751 | − | 2.59263i | ||||
\(624\) | −413.179 | + | 94.3053i | −0.662145 | + | 0.151130i | ||||
\(625\) | −22.8207 | + | 304.521i | −0.0365131 | + | 0.487234i | ||||
\(626\) | 443.967 | − | 302.691i | 0.709212 | − | 0.483533i | ||||
\(627\) | −810.357 | + | 751.902i | −1.29244 | + | 1.19921i | ||||
\(628\) | 34.5739 | + | 13.5693i | 0.0550540 | + | 0.0216071i | ||||
\(629\) | −136.709 | + | 109.022i | −0.217344 | + | 0.173326i | ||||
\(630\) | 41.4490 | − | 3.10618i | 0.0657921 | − | 0.00493044i | ||||
\(631\) | 123.460 | + | 400.248i | 0.195658 | + | 0.634308i | 0.999235 | + | 0.0391069i | \(0.0124513\pi\) |
−0.803577 | + | 0.595201i | \(0.797073\pi\) | |||||||
\(632\) | −105.740 | + | 701.541i | −0.167310 | + | 1.11003i | ||||
\(633\) | −633.558 | − | 587.856i | −1.00088 | − | 0.928683i | ||||
\(634\) | −49.3988 | − | 102.578i | −0.0779161 | − | 0.161794i | ||||
\(635\) | −105.125 | − | 697.458i | −0.165551 | − | 1.09836i | ||||
\(636\) | 43.2636 | − | 63.4560i | 0.0680245 | − | 0.0997736i | ||||
\(637\) | −525.092 | + | 658.445i | −0.824321 | + | 1.03367i | ||||
\(638\) | −52.0669 | − | 90.1825i | −0.0816096 | − | 0.141352i | ||||
\(639\) | −48.7487 | − | 28.1451i | −0.0762891 | − | 0.0440455i | ||||
\(640\) | 49.8756 | + | 127.081i | 0.0779306 | + | 0.198564i | ||||
\(641\) | −382.841 | + | 794.977i | −0.597255 | + | 1.24021i | 0.354987 | + | 0.934871i | \(0.384485\pi\) |
−0.952243 | + | 0.305342i | \(0.901229\pi\) | |||||||
\(642\) | −697.037 | − | 215.007i | −1.08573 | − | 0.334903i | ||||
\(643\) | −199.621 | + | 874.597i | −0.310453 | + | 1.36018i | 0.543316 | + | 0.839529i | \(0.317169\pi\) |
−0.853768 | + | 0.520653i | \(0.825688\pi\) | |||||||
\(644\) | 302.573i | 0.469834i | ||||||||
\(645\) | 221.546 | − | 479.554i | 0.343482 | − | 0.743495i | ||||
\(646\) | −391.554 | −0.606121 | ||||||||
\(647\) | 665.546 | + | 151.906i | 1.02866 | + | 0.234786i | 0.703368 | − | 0.710826i | \(-0.251679\pi\) |
0.325297 | + | 0.945612i | \(0.394536\pi\) | |||||||
\(648\) | 221.292 | − | 717.413i | 0.341501 | − | 1.10712i | ||||
\(649\) | −245.082 | − | 118.026i | −0.377631 | − | 0.181857i | ||||
\(650\) | −213.154 | + | 83.6567i | −0.327929 | + | 0.128703i | ||||
\(651\) | −412.244 | + | 714.027i | −0.633247 | + | 1.09682i | ||||
\(652\) | 86.2543 | − | 49.7990i | 0.132292 | − | 0.0763788i | ||||
\(653\) | 939.695 | + | 749.382i | 1.43904 | + | 1.14760i | 0.963435 | + | 0.267941i | \(0.0863434\pi\) |
0.475608 | + | 0.879657i | \(0.342228\pi\) | |||||||
\(654\) | −333.532 | − | 227.398i | −0.509988 | − | 0.347704i | ||||
\(655\) | 54.6728 | − | 8.24060i | 0.0834700 | − | 0.0125811i | ||||
\(656\) | 140.027 | − | 67.4335i | 0.213456 | − | 0.102795i | ||||
\(657\) | 13.7824 | − | 14.8539i | 0.0209778 | − | 0.0226087i | ||||
\(658\) | 1148.75 | + | 173.147i | 1.74583 | + | 0.263141i | ||||
\(659\) | 703.613 | − | 217.036i | 1.06770 | − | 0.329341i | 0.289382 | − | 0.957214i | \(-0.406550\pi\) |
0.778316 | + | 0.627873i | \(0.216074\pi\) | |||||||
\(660\) | 14.1525 | + | 188.852i | 0.0214432 | + | 0.286139i | ||||
\(661\) | 529.293 | + | 663.713i | 0.800746 | + | 1.00410i | 0.999710 | + | 0.0240969i | \(0.00767104\pi\) |
−0.198964 | + | 0.980007i | \(0.563758\pi\) | |||||||
\(662\) | −17.6659 | + | 45.0120i | −0.0266857 | + | 0.0679940i | ||||
\(663\) | −250.732 | − | 270.224i | −0.378178 | − | 0.407578i | ||||
\(664\) | −576.217 | − | 845.155i | −0.867796 | − | 1.27282i | ||||
\(665\) | 1213.96 | + | 90.9735i | 1.82550 | + | 0.136802i | ||||
\(666\) | −5.00465 | − | 21.9268i | −0.00751449 | − | 0.0329231i | ||||
\(667\) | −118.057 | + | 26.9457i | −0.176997 | + | 0.0403983i | ||||
\(668\) | 1.95612 | − | 26.1026i | 0.00292833 | − | 0.0390758i | ||||
\(669\) | 635.105 | − | 433.007i | 0.949335 | − | 0.647246i | ||||
\(670\) | 378.683 | − | 351.367i | 0.565199 | − | 0.524428i | ||||
\(671\) | −853.561 | − | 334.998i | −1.27207 | − | 0.499252i | ||||
\(672\) | −492.921 | + | 393.091i | −0.733513 | + | 0.584957i | ||||
\(673\) | 126.480 | − | 9.47834i | 0.187934 | − | 0.0140837i | 0.0195695 | − | 0.999808i | \(-0.493770\pi\) |
0.168365 | + | 0.985725i | \(0.446151\pi\) | |||||||
\(674\) | 128.111 | + | 415.327i | 0.190076 | + | 0.616212i | ||||
\(675\) | 36.0787 | − | 239.367i | 0.0534500 | − | 0.354617i | ||||
\(676\) | −51.7105 | − | 47.9804i | −0.0764949 | − | 0.0709769i | ||||
\(677\) | 252.899 | + | 525.149i | 0.373558 | + | 0.775701i | 0.999993 | − | 0.00377281i | \(-0.00120093\pi\) |
−0.626435 | + | 0.779474i | \(0.715487\pi\) | |||||||
\(678\) | −92.0388 | − | 610.637i | −0.135750 | − | 0.900645i | ||||
\(679\) | −522.515 | + | 766.389i | −0.769536 | + | 1.12870i | ||||
\(680\) | −170.961 | + | 214.378i | −0.251413 | + | 0.315262i | ||||
\(681\) | 486.072 | + | 841.902i | 0.713763 | + | 1.23627i | ||||
\(682\) | 438.911 | + | 253.406i | 0.643565 | + | 0.371562i | ||||
\(683\) | −1.87901 | − | 4.78764i | −0.00275111 | − | 0.00700973i | 0.929492 | − | 0.368843i | \(-0.120246\pi\) |
−0.932243 | + | 0.361834i | \(0.882151\pi\) | |||||||
\(684\) | −10.4667 | + | 21.7344i | −0.0153022 | + | 0.0317754i | ||||
\(685\) | −581.699 | − | 179.430i | −0.849196 | − | 0.261942i | ||||
\(686\) | 27.5665 | − | 120.777i | 0.0401844 | − | 0.176059i | ||||
\(687\) | − | 51.5215i | − | 0.0749948i | ||||||
\(688\) | −64.7962 | − | 387.640i | −0.0941805 | − | 0.563431i | ||||
\(689\) | −285.700 | −0.414658 | ||||||||
\(690\) | −448.237 | − | 102.307i | −0.649619 | − | 0.148271i | ||||
\(691\) | −17.1975 | + | 55.7530i | −0.0248879 | + | 0.0806845i | −0.967165 | − | 0.254150i | \(-0.918204\pi\) |
0.942277 | + | 0.334835i | \(0.108680\pi\) | |||||||
\(692\) | −164.732 | − | 79.3306i | −0.238051 | − | 0.114640i | ||||
\(693\) | 70.6911 | − | 27.7442i | 0.102007 | − | 0.0400349i | ||||
\(694\) | −80.4531 | + | 139.349i | −0.115927 | + | 0.200791i | ||||
\(695\) | 219.150 | − | 126.526i | 0.315323 | − | 0.182052i | ||||
\(696\) | −112.382 | − | 89.6218i | −0.161469 | − | 0.128767i | ||||
\(697\) | 111.695 | + | 76.1521i | 0.160251 | + | 0.109257i | ||||
\(698\) | 217.555 | − | 32.7911i | 0.311683 | − | 0.0469787i | ||||
\(699\) | −10.7056 | + | 5.15555i | −0.0153156 | + | 0.00737561i | ||||
\(700\) | −84.2365 | + | 90.7853i | −0.120338 | + | 0.129693i | ||||
\(701\) | −491.412 | − | 74.0685i | −0.701016 | − | 0.105661i | −0.211143 | − | 0.977455i | \(-0.567719\pi\) |
−0.489873 | + | 0.871794i | \(0.662957\pi\) | |||||||
\(702\) | −610.496 | + | 188.313i | −0.869653 | + | 0.268252i | ||||
\(703\) | −49.2252 | − | 656.864i | −0.0700216 | − | 0.934373i | ||||
\(704\) | 512.884 | + | 643.137i | 0.728529 | + | 0.913546i | ||||
\(705\) | 308.914 | − | 787.099i | 0.438176 | − | 1.11645i | ||||
\(706\) | −155.985 | − | 168.111i | −0.220941 | − | 0.238118i | ||||
\(707\) | −279.776 | − | 410.357i | −0.395723 | − | 0.580419i | ||||
\(708\) | −91.6006 | − | 6.86452i | −0.129379 | − | 0.00969565i | ||||
\(709\) | 268.425 | + | 1176.05i | 0.378597 | + | 1.65874i | 0.701771 | + | 0.712403i | \(0.252393\pi\) |
−0.323174 | + | 0.946340i | \(0.604750\pi\) | |||||||
\(710\) | 574.858 | − | 131.208i | 0.809660 | − | 0.184799i | ||||
\(711\) | 3.78543 | − | 50.5131i | 0.00532410 | − | 0.0710451i | ||||
\(712\) | −1161.49 | + | 791.892i | −1.63131 | + | 1.11221i | ||||
\(713\) | 432.023 | − | 400.859i | 0.605923 | − | 0.562215i | ||||
\(714\) | 387.463 | + | 152.068i | 0.542665 | + | 0.212980i | ||||
\(715\) | 550.799 | − | 439.248i | 0.770348 | − | 0.614332i | ||||
\(716\) | 225.888 | − | 16.9280i | 0.315487 | − | 0.0236425i | ||||
\(717\) | 136.377 | + | 442.122i | 0.190204 | + | 0.616627i | ||||
\(718\) | 70.8752 | − | 470.226i | 0.0987120 | − | 0.654911i | ||||
\(719\) | −144.351 | − | 133.938i | −0.200766 | − | 0.186284i | 0.573382 | − | 0.819288i | \(-0.305631\pi\) |
−0.774148 | + | 0.633004i | \(0.781822\pi\) | |||||||
\(720\) | −9.76575 | − | 20.2788i | −0.0135635 | − | 0.0281650i | ||||
\(721\) | −308.223 | − | 2044.92i | −0.427493 | − | 2.83623i | ||||
\(722\) | 496.475 | − | 728.195i | 0.687639 | − | 1.00858i | ||||
\(723\) | −23.3181 | + | 29.2400i | −0.0322519 | + | 0.0404426i | ||||
\(724\) | −132.471 | − | 229.447i | −0.182971 | − | 0.316915i | ||||
\(725\) | −42.9239 | − | 24.7821i | −0.0592054 | − | 0.0341822i | ||||
\(726\) | −38.4005 | − | 97.8429i | −0.0528933 | − | 0.134770i | ||||
\(727\) | 251.921 | − | 523.119i | 0.346521 | − | 0.719559i | −0.652756 | − | 0.757568i | \(-0.726387\pi\) |
0.999277 | + | 0.0380094i | \(0.0121017\pi\) | |||||||
\(728\) | 1276.74 | + | 393.823i | 1.75377 | + | 0.540965i | ||||
\(729\) | 149.516 | − | 655.070i | 0.205097 | − | 0.898588i | ||||
\(730\) | 212.257i | 0.290762i | ||||||||
\(731\) | 263.821 | − | 217.396i | 0.360904 | − | 0.297396i | ||||
\(732\) | −309.639 | −0.423004 | ||||||||
\(733\) | −456.776 | − | 104.256i | −0.623160 | − | 0.142232i | −0.100729 | − | 0.994914i | \(-0.532118\pi\) |
−0.522431 | + | 0.852682i | \(0.674975\pi\) | |||||||
\(734\) | 5.81413 | − | 18.8490i | 0.00792116 | − | 0.0256798i | ||||
\(735\) | −623.590 | − | 300.305i | −0.848422 | − | 0.408578i | ||||
\(736\) | 419.511 | − | 164.646i | 0.569988 | − | 0.223704i | ||||
\(737\) | 471.905 | − | 817.364i | 0.640306 | − | 1.10904i | ||||
\(738\) | −15.0583 | + | 8.69389i | −0.0204041 | + | 0.0117803i | ||||
\(739\) | 698.122 | + | 556.734i | 0.944685 | + | 0.753361i | 0.969184 | − | 0.246339i | \(-0.0792275\pi\) |
−0.0244987 | + | 0.999700i | \(0.507799\pi\) | |||||||
\(740\) | −93.2380 | − | 63.5686i | −0.125997 | − | 0.0859035i | ||||
\(741\) | 1373.15 | − | 206.969i | 1.85311 | − | 0.279311i | ||||
\(742\) | 290.649 | − | 139.969i | 0.391711 | − | 0.188638i | ||||
\(743\) | −519.583 | + | 559.977i | −0.699304 | + | 0.753671i | −0.978429 | − | 0.206584i | \(-0.933765\pi\) |
0.279125 | + | 0.960255i | \(0.409956\pi\) | |||||||
\(744\) | 691.768 | + | 104.267i | 0.929796 | + | 0.140144i | ||||
\(745\) | 199.912 | − | 61.6648i | 0.268339 | − | 0.0827716i | ||||
\(746\) | 47.4466 | + | 633.130i | 0.0636013 | + | 0.848700i | ||||
\(747\) | 45.5354 | + | 57.0996i | 0.0609577 | + | 0.0764385i | ||||
\(748\) | −44.7743 | + | 114.083i | −0.0598587 | + | 0.152518i | ||||
\(749\) | 998.234 | + | 1075.84i | 1.33276 | + | 1.43637i | ||||
\(750\) | −390.532 | − | 572.805i | −0.520710 | − | 0.763741i | ||||
\(751\) | −400.698 | − | 30.0282i | −0.533553 | − | 0.0399843i | −0.194770 | − | 0.980849i | \(-0.562396\pi\) |
−0.338783 | + | 0.940865i | \(0.610015\pi\) | |||||||
\(752\) | −139.984 | − | 613.310i | −0.186149 | − | 0.815571i | ||||
\(753\) | −1210.41 | + | 276.269i | −1.60746 | + | 0.366891i | ||||
\(754\) | −9.77556 | + | 130.446i | −0.0129649 | + | 0.173005i | ||||
\(755\) | −24.1073 | + | 16.4361i | −0.0319302 | + | 0.0217697i | ||||
\(756\) | −253.299 | + | 235.027i | −0.335051 | + | 0.310882i | ||||
\(757\) | −891.825 | − | 350.016i | −1.17810 | − | 0.462372i | −0.306162 | − | 0.951980i | \(-0.599045\pi\) |
−0.871943 | + | 0.489608i | \(0.837140\pi\) | |||||||
\(758\) | −629.876 | + | 502.309i | −0.830970 | + | 0.662677i | ||||
\(759\) | −837.649 | + | 62.7731i | −1.10362 | + | 0.0827051i | ||||
\(760\) | −304.464 | − | 987.047i | −0.400610 | − | 1.29875i | ||||
\(761\) | 143.484 | − | 951.954i | 0.188547 | − | 1.25093i | −0.671613 | − | 0.740902i | \(-0.734398\pi\) |
0.860160 | − | 0.510024i | \(-0.170363\pi\) | |||||||
\(762\) | 665.974 | + | 617.933i | 0.873981 | + | 0.810936i | ||||
\(763\) | 352.392 | + | 731.750i | 0.461851 | + | 0.959043i | ||||
\(764\) | −30.6758 | − | 203.521i | −0.0401516 | − | 0.266388i | ||||
\(765\) | 11.0284 | − | 16.1757i | 0.0144162 | − | 0.0211447i | ||||
\(766\) | −321.081 | + | 402.623i | −0.419166 | + | 0.525617i | ||||
\(767\) | 170.855 | + | 295.929i | 0.222757 | + | 0.385827i | ||||
\(768\) | 590.515 | + | 340.934i | 0.768900 | + | 0.443925i | ||||
\(769\) | 140.030 | + | 356.790i | 0.182093 | + | 0.463966i | 0.992551 | − | 0.121832i | \(-0.0388768\pi\) |
−0.810458 | + | 0.585797i | \(0.800782\pi\) | |||||||
\(770\) | −345.146 | + | 716.703i | −0.448242 | + | 0.930784i | ||||
\(771\) | −427.443 | − | 131.849i | −0.554401 | − | 0.171010i | ||||
\(772\) | −63.1572 | + | 276.710i | −0.0818099 | + | 0.358432i | ||||
\(773\) | − | 1477.43i | − | 1.91129i | −0.294519 | − | 0.955646i | \(-0.595159\pi\) | ||
0.294519 | − | 0.955646i | \(-0.404841\pi\) | |||||||
\(774\) | 10.4699 | + | 42.7051i | 0.0135269 | + | 0.0551746i | ||||
\(775\) | 241.225 | 0.311258 | ||||||||
\(776\) | 767.310 | + | 175.133i | 0.988801 | + | 0.225687i | ||||
\(777\) | −206.396 | + | 669.119i | −0.265632 | + | 0.861157i | ||||
\(778\) | 338.114 | + | 162.827i | 0.434594 | + | 0.209290i | ||||
\(779\) | −474.050 | + | 186.051i | −0.608536 | + | 0.238833i | ||||
\(780\) | 118.949 | − | 206.026i | 0.152499 | − | 0.264136i | ||||
\(781\) | 932.958 | − | 538.644i | 1.19457 | − | 0.689685i | ||||
\(782\) | −232.617 | − | 185.506i | −0.297464 | − | 0.237220i | ||||
\(783\) | −114.259 | − | 77.9006i | −0.145925 | − | 0.0994899i | ||||
\(784\) | −509.190 | + | 76.7480i | −0.649477 | + | 0.0978929i | ||||
\(785\) | 102.304 | − | 49.2670i | 0.130324 | − | 0.0627606i | ||||
\(786\) | −48.4390 | + | 52.2048i | −0.0616272 | + | 0.0664184i | ||||
\(787\) | 1036.24 | + | 156.188i | 1.31670 | + | 0.198460i | 0.769555 | − | 0.638580i | \(-0.220478\pi\) |
0.547141 | + | 0.837040i | \(0.315716\pi\) | |||||||
\(788\) | −338.589 | + | 104.441i | −0.429682 | + | 0.132539i | ||||
\(789\) | −38.2188 | − | 509.994i | −0.0484395 | − | 0.646380i | ||||
\(790\) | 330.830 | + | 414.848i | 0.418772 | + | 0.525124i | ||||
\(791\) | −453.921 | + | 1156.57i | −0.573858 | + | 1.46217i | ||||
\(792\) | −43.8276 | − | 47.2349i | −0.0553379 | − | 0.0596401i | ||||
\(793\) | 648.864 | + | 951.708i | 0.818239 | + | 1.20014i | ||||
\(794\) | −913.953 | − | 68.4913i | −1.15107 | − | 0.0862611i | ||||
\(795\) | −52.2473 | − | 228.910i | −0.0657199 | − | 0.287937i | ||||
\(796\) | −235.916 | + | 53.8464i | −0.296377 | + | 0.0676462i | ||||
\(797\) | 10.4422 | − | 139.341i | 0.0131019 | − | 0.174832i | −0.986814 | − | 0.161859i | \(-0.948251\pi\) |
0.999916 | − | 0.0129737i | \(-0.00412978\pi\) | |||||||
\(798\) | −1295.54 | + | 883.286i | −1.62349 | + | 1.10687i | ||||
\(799\) | 401.113 | − | 372.178i | 0.502019 | − | 0.465805i | ||||
\(800\) | 171.709 | + | 67.3909i | 0.214637 | + | 0.0842386i | ||||
\(801\) | 78.4717 | − | 62.5791i | 0.0979672 | − | 0.0781262i | ||||
\(802\) | −1156.50 | + | 86.6677i | −1.44202 | + | 0.108065i | ||||
\(803\) | 114.305 | + | 370.568i | 0.142348 | + | 0.461480i | ||||
\(804\) | 47.5014 | − | 315.151i | 0.0590813 | − | 0.391979i | ||||
\(805\) | 678.095 | + | 629.180i | 0.842354 | + | 0.781591i | ||||
\(806\) | −276.232 | − | 573.602i | −0.342720 | − | 0.711665i | ||||
\(807\) | 114.640 | + | 760.588i | 0.142057 | + | 0.942488i | ||||
\(808\) | −237.392 | + | 348.190i | −0.293802 | + | 0.430928i | ||||
\(809\) | −791.854 | + | 992.954i | −0.978806 | + | 1.22738i | −0.00500405 | + | 0.999987i | \(0.501593\pi\) |
−0.973802 | + | 0.227397i | \(0.926979\pi\) | |||||||
\(810\) | −280.750 | − | 486.274i | −0.346605 | − | 0.600338i | ||||
\(811\) | −1046.09 | − | 603.962i | −1.28988 | − | 0.744712i | −0.311247 | − | 0.950329i | \(-0.600747\pi\) |
−0.978633 | + | 0.205617i | \(0.934080\pi\) | |||||||
\(812\) | 25.8478 | + | 65.8591i | 0.0318322 | + | 0.0811072i | ||||
\(813\) | 43.2433 | − | 89.7957i | 0.0531898 | − | 0.110450i | ||||
\(814\) | 411.307 | + | 126.871i | 0.505291 | + | 0.155861i | ||||
\(815\) | 67.7558 | − | 296.858i | 0.0831360 | − | 0.364242i | ||||
\(816\) | − | 225.394i | − | 0.276218i | ||||||
\(817\) | 116.802 | + | 1282.48i | 0.142964 | + | 1.56974i | ||||
\(818\) | −287.976 | −0.352049 | ||||||||
\(819\) | −93.0038 | − | 21.2275i | −0.113558 | − | 0.0259188i | ||||
\(820\) | −25.7152 | + | 83.3667i | −0.0313600 | + | 0.101667i | ||||
\(821\) | −375.161 | − | 180.668i | −0.456956 | − | 0.220059i | 0.191223 | − | 0.981547i | \(-0.438755\pi\) |
−0.648179 | + | 0.761488i | \(0.724469\pi\) | |||||||
\(822\) | 729.881 | − | 286.457i | 0.887933 | − | 0.348488i | ||||
\(823\) | −284.823 | + | 493.327i | −0.346078 | + | 0.599425i | −0.985549 | − | 0.169390i | \(-0.945820\pi\) |
0.639471 | + | 0.768815i | \(0.279154\pi\) | |||||||
\(824\) | −1519.64 | + | 877.364i | −1.84422 | + | 1.06476i | ||||
\(825\) | −268.808 | − | 214.367i | −0.325828 | − | 0.259839i | ||||
\(826\) | −318.795 | − | 217.351i | −0.385951 | − | 0.263137i | ||||
\(827\) | 31.0704 | − | 4.68311i | 0.0375700 | − | 0.00566277i | −0.130230 | − | 0.991484i | \(-0.541572\pi\) |
0.167800 | + | 0.985821i | \(0.446334\pi\) | |||||||
\(828\) | −16.5152 | + | 7.95331i | −0.0199459 | + | 0.00960544i | ||||
\(829\) | 213.155 | − | 229.726i | 0.257123 | − | 0.277113i | −0.591277 | − | 0.806469i | \(-0.701376\pi\) |
0.848400 | + | 0.529356i | \(0.177566\pi\) | |||||||
\(830\) | −756.480 | − | 114.021i | −0.911422 | − | 0.137375i | ||||
\(831\) | 407.662 | − | 125.747i | 0.490568 | − | 0.151320i | ||||
\(832\) | −77.2218 | − | 1030.45i | −0.0928147 | − | 1.23853i | ||||
\(833\) | −279.262 | − | 350.183i | −0.335248 | − | 0.420388i | ||||
\(834\) | −119.079 | + | 303.408i | −0.142781 | + | 0.363799i | ||||
\(835\) | −54.4309 | − | 58.6625i | −0.0651867 | − | 0.0702545i | ||||
\(836\) | −260.071 | − | 381.454i | −0.311090 | − | 0.456285i | ||||
\(837\) | 671.157 | + | 50.2962i | 0.801860 | + | 0.0600911i | ||||
\(838\) | 6.51789 | + | 28.5567i | 0.00777791 | + | 0.0340772i | ||||
\(839\) | 49.1480 | − | 11.2177i | 0.0585793 | − | 0.0133703i | −0.193131 | − | 0.981173i | \(-0.561864\pi\) |
0.251710 | + | 0.967803i | \(0.419007\pi\) | |||||||
\(840\) | −82.0574 | + | 1094.98i | −0.0976874 | + | 1.30355i | ||||
\(841\) | 671.472 | − | 457.802i | 0.798421 | − | 0.544354i | ||||
\(842\) | 372.565 | − | 345.690i | 0.442477 | − | 0.410558i | ||||
\(843\) | 909.684 | + | 357.025i | 1.07910 | + | 0.423517i | ||||
\(844\) | 282.202 | − | 225.049i | 0.334363 | − | 0.266645i | ||||
\(845\) | −215.057 | + | 16.1163i | −0.254505 | + | 0.0190725i | ||||
\(846\) | 20.7449 | + | 67.2532i | 0.0245211 | + | 0.0794955i | ||||
\(847\) | −31.5187 | + | 209.113i | −0.0372122 | + | 0.246887i | ||||
\(848\) | −128.055 | − | 118.818i | −0.151008 | − | 0.140115i | ||||
\(849\) | −439.907 | − | 913.477i | −0.518147 | − | 1.07594i | ||||
\(850\) | −18.1505 | − | 120.421i | −0.0213535 | − | 0.141671i | ||||
\(851\) | 281.957 | − | 413.555i | 0.331325 | − | 0.485964i | ||||
\(852\) | 226.816 | − | 284.418i | 0.266216 | − | 0.333824i | ||||
\(853\) | −191.507 | − | 331.700i | −0.224510 | − | 0.388862i | 0.731663 | − | 0.681667i | \(-0.238745\pi\) |
−0.956172 | + | 0.292805i | \(0.905411\pi\) | |||||||
\(854\) | −1126.36 | − | 650.306i | −1.31893 | − | 0.761482i | ||||
\(855\) | 26.9440 | + | 68.6521i | 0.0315134 | + | 0.0802949i | ||||
\(856\) | 540.308 | − | 1121.96i | 0.631201 | − | 1.31070i | ||||
\(857\) | 315.683 | + | 97.3753i | 0.368358 | + | 0.113623i | 0.473408 | − | 0.880844i | \(-0.343024\pi\) |
−0.105049 | + | 0.994467i | \(0.533500\pi\) | |||||||
\(858\) | −201.919 | + | 884.665i | −0.235337 | + | 1.03108i | ||||
\(859\) | − | 189.947i | − | 0.221126i | −0.993869 | − | 0.110563i | \(-0.964735\pi\) | ||
0.993869 | − | 0.110563i | \(-0.0352654\pi\) | |||||||
\(860\) | 184.251 | + | 121.341i | 0.214245 | + | 0.141095i | ||||
\(861\) | 541.354 | 0.628750 | ||||||||
\(862\) | 1038.12 | + | 236.944i | 1.20431 | + | 0.274877i | ||||
\(863\) | 271.629 | − | 880.600i | 0.314750 | − | 1.02039i | −0.650597 | − | 0.759423i | \(-0.725481\pi\) |
0.965347 | − | 0.260971i | \(-0.0840425\pi\) | |||||||
\(864\) | 463.692 | + | 223.302i | 0.536681 | + | 0.258452i | ||||
\(865\) | −520.335 | + | 204.217i | −0.601544 | + | 0.236089i | ||||
\(866\) | 274.958 | − | 476.241i | 0.317503 | − | 0.549932i | ||||
\(867\) | −606.564 | + | 350.200i | −0.699612 | + | 0.403921i | ||||
\(868\) | −269.211 | − | 214.688i | −0.310151 | − | 0.247337i | ||||
\(869\) | 800.985 | + | 546.103i | 0.921732 | + | 0.628427i | ||||
\(870\) | −106.304 | + | 16.0228i | −0.122189 | + | 0.0184170i | ||||
\(871\) | −1068.19 | + | 514.414i | −1.22640 | + | 0.590601i | ||||
\(872\) | 468.734 | − | 505.176i | 0.537539 | − | 0.579330i | ||||
\(873\) | −55.5660 | − | 8.37523i | −0.0636495 | − | 0.00959362i | ||||
\(874\) | 1071.02 | − | 330.366i | 1.22542 | − | 0.377994i | ||||
\(875\) | 104.236 | + | 1390.93i | 0.119127 | + | 1.58964i | ||||
\(876\) | 81.6481 | + | 102.383i | 0.0932056 | + | 0.116876i | ||||
\(877\) | 124.195 | − | 316.443i | 0.141613 | − | 0.360825i | −0.842417 | − | 0.538826i | \(-0.818868\pi\) |
0.984030 | + | 0.178001i | \(0.0569632\pi\) | |||||||
\(878\) | 26.0025 | + | 28.0240i | 0.0296156 | + | 0.0319180i | ||||
\(879\) | 200.721 | + | 294.404i | 0.228352 | + | 0.334931i | ||||
\(880\) | 429.552 | + | 32.1905i | 0.488127 | + | 0.0365801i | ||||
\(881\) | −87.7198 | − | 384.326i | −0.0995685 | − | 0.436238i | −0.999999 | − | 0.00123863i | \(-0.999606\pi\) |
0.900431 | − | 0.434999i | \(-0.143251\pi\) | |||||||
\(882\) | 56.1658 | − | 12.8195i | 0.0636801 | − | 0.0145346i | ||||
\(883\) | −57.7319 | + | 770.378i | −0.0653815 | + | 0.872455i | 0.864037 | + | 0.503428i | \(0.167928\pi\) |
−0.929419 | + | 0.369027i | \(0.879691\pi\) | |||||||
\(884\) | 127.201 | − | 86.7242i | 0.143893 | − | 0.0981043i | ||||
\(885\) | −205.861 | + | 191.011i | −0.232612 | + | 0.215832i | ||||
\(886\) | 28.4686 | + | 11.1731i | 0.0321316 | + | 0.0126107i | ||||
\(887\) | 1153.83 | − | 920.150i | 1.30082 | − | 1.03737i | 0.304430 | − | 0.952535i | \(-0.401534\pi\) |
0.996395 | − | 0.0848379i | \(-0.0270373\pi\) | |||||||
\(888\) | 592.486 | − | 44.4007i | 0.667214 | − | 0.0500008i | ||||
\(889\) | −538.772 | − | 1746.65i | −0.606042 | − | 1.96474i | ||||
\(890\) | −156.699 | + | 1039.63i | −0.176066 | + | 1.16812i | ||||
\(891\) | −752.018 | − | 697.771i | −0.844016 | − | 0.783132i | ||||
\(892\) | 139.286 | + | 289.231i | 0.156151 | + | 0.324250i | ||||
\(893\) | 307.219 | + | 2038.26i | 0.344030 | + | 2.28249i | ||||
\(894\) | −151.795 | + | 222.642i | −0.169793 | + | 0.249041i | ||||
\(895\) | 431.782 | − | 541.438i | 0.482438 | − | 0.604959i | ||||
\(896\) | 176.892 | + | 306.385i | 0.197424 | + | 0.341948i | ||||
\(897\) | 913.826 | + | 527.598i | 1.01876 | + | 0.588180i | ||||
\(898\) | 90.0826 | + | 229.527i | 0.100315 | + | 0.255598i | ||||
\(899\) | 59.7916 | − | 124.159i | 0.0665090 | − | 0.138107i | ||||
\(900\) | −7.16949 | − | 2.21150i | −0.00796610 | − | 0.00245722i | ||||
\(901\) | 33.8109 | − | 148.135i | 0.0375260 | − | 0.164412i | ||||
\(902\) | − | 332.769i | − | 0.368924i | ||||||
\(903\) | 382.496 | − | 1314.44i | 0.423583 | − | 1.45564i | ||||
\(904\) | 1054.23 | 1.16619 | ||||||||
\(905\) | −789.677 | − | 180.239i | −0.872571 | − | 0.199159i | ||||
\(906\) | 11.0772 | − | 35.9115i | 0.0122265 | − | 0.0396374i | ||||
\(907\) | −1272.24 | − | 612.677i | −1.40269 | − | 0.675498i | −0.428981 | − | 0.903313i | \(-0.641127\pi\) |
−0.973704 | + | 0.227815i | \(0.926842\pi\) | |||||||
\(908\) | −377.935 | + | 148.328i | −0.416228 | + | 0.163357i | ||||
\(909\) | 15.0442 | − | 26.0573i | 0.0165503 | − | 0.0286660i | ||||
\(910\) | 865.396 | − | 499.636i | 0.950984 | − | 0.549051i | ||||
\(911\) | 116.400 | + | 92.8263i | 0.127772 | + | 0.101895i | 0.685291 | − | 0.728269i | \(-0.259675\pi\) |
−0.557519 | + | 0.830164i | \(0.688247\pi\) | |||||||
\(912\) | 701.542 | + | 478.303i | 0.769234 | + | 0.524455i | ||||
\(913\) | −1382.10 | + | 208.319i | −1.51381 | + | 0.228169i | ||||
\(914\) | −472.076 | + | 227.340i | −0.516495 | + | 0.248731i | ||||
\(915\) | −643.873 | + | 693.931i | −0.703687 | + | 0.758394i | ||||
\(916\) | 21.2767 | + | 3.20695i | 0.0232279 | + | 0.00350104i | ||||
\(917\) | 136.918 | − | 42.2336i | 0.149311 | − | 0.0460563i | ||||
\(918\) | −25.3917 | − | 338.828i | −0.0276598 | − | 0.369094i | ||||
\(919\) | −799.562 | − | 1002.62i | −0.870035 | − | 1.09099i | −0.995103 | − | 0.0988413i | \(-0.968486\pi\) |
0.125068 | − | 0.992148i | \(-0.460085\pi\) | |||||||
\(920\) | 286.754 | − | 730.637i | 0.311689 | − | 0.794170i | ||||
\(921\) | −119.601 | − | 128.899i | −0.129860 | − | 0.139956i | ||||
\(922\) | −0.293863 | − | 0.431018i | −0.000318724 | − | 0.000467482i | ||||
\(923\) | −1349.49 | − | 101.130i | −1.46207 | − | 0.109567i | ||||
\(924\) | 109.208 | + | 478.473i | 0.118191 | + | 0.517828i | ||||
\(925\) | 199.734 | − | 45.5879i | 0.215928 | − | 0.0492842i | ||||
\(926\) | 98.7045 | − | 1317.12i | 0.106592 | − | 1.42238i | ||||
\(927\) | 103.515 | − | 70.5755i | 0.111667 | − | 0.0761333i | ||||
\(928\) | 77.2470 | − | 71.6747i | 0.0832403 | − | 0.0772357i | ||||
\(929\) | 309.604 | + | 121.511i | 0.333266 | + | 0.130797i | 0.526073 | − | 0.850439i | \(-0.323664\pi\) |
−0.192807 | + | 0.981237i | \(0.561759\pi\) | |||||||
\(930\) | 409.069 | − | 326.222i | 0.439859 | − | 0.350776i | ||||
\(931\) | 1682.57 | − | 126.091i | 1.80727 | − | 0.135436i | ||||
\(932\) | −1.46271 | − | 4.74199i | −0.00156943 | − | 0.00508797i | ||||
\(933\) | −1.84331 | + | 12.2296i | −0.00197568 | + | 0.0131078i | ||||
\(934\) | 552.032 | + | 512.211i | 0.591041 | + | 0.548406i | ||||
\(935\) | 162.566 | + | 337.572i | 0.173867 | + | 0.361039i | ||||
\(936\) | 12.0640 | + | 80.0396i | 0.0128889 | + | 0.0855124i | ||||
\(937\) | −449.163 | + | 658.801i | −0.479363 | + | 0.703096i | −0.987401 | − | 0.158239i | \(-0.949418\pi\) |
0.508038 | + | 0.861334i | \(0.330371\pi\) | |||||||
\(938\) | 834.677 | − | 1046.65i | 0.889847 | − | 1.11583i | ||||
\(939\) | −506.752 | − | 877.721i | −0.539672 | − | 0.934740i | ||||
\(940\) | 305.819 | + | 176.565i | 0.325339 | + | 0.187835i | ||||
\(941\) | 325.062 | + | 828.244i | 0.345443 | + | 0.880174i | 0.992995 | + | 0.118153i | \(0.0376974\pi\) |
−0.647553 | + | 0.762021i | \(0.724207\pi\) | |||||||
\(942\) | −63.4575 | + | 131.771i | −0.0673646 | + | 0.139884i | ||||
\(943\) | −369.771 | − | 114.059i | −0.392122 | − | 0.120954i | ||||
\(944\) | −46.4921 | + | 203.695i | −0.0492501 | + | 0.215779i | ||||
\(945\) | 1056.39i | 1.11787i | ||||||||
\(946\) | −807.986 | − | 235.120i | −0.854107 | − | 0.248541i | ||||
\(947\) | −444.154 | −0.469012 | −0.234506 | − | 0.972115i | \(-0.575347\pi\) | ||||
−0.234506 | + | 0.972115i | \(0.575347\pi\) | |||||||
\(948\) | 319.156 | + | 72.8454i | 0.336663 | + | 0.0768411i | ||||
\(949\) | 143.589 | − | 465.503i | 0.151305 | − | 0.490520i | ||||
\(950\) | 413.328 | + | 199.048i | 0.435082 | + | 0.209524i | ||||
\(951\) | −199.901 | + | 78.4553i | −0.210201 | + | 0.0824977i | ||||
\(952\) | −355.292 | + | 615.384i | −0.373206 | + | 0.646411i | ||||
\(953\) | 51.9762 | − | 30.0085i | 0.0545396 | − | 0.0314884i | −0.472482 | − | 0.881340i | \(-0.656642\pi\) |
0.527022 | + | 0.849852i | \(0.323309\pi\) | |||||||
\(954\) | 15.2798 | + | 12.1852i | 0.0160165 | + | 0.0127727i | ||||
\(955\) | −519.897 | − | 354.460i | −0.544395 | − | 0.371162i | ||||
\(956\) | −191.071 | + | 28.7994i | −0.199865 | + | 0.0301248i | ||||
\(957\) | −176.963 | + | 85.2209i | −0.184914 | + | 0.0890500i | ||||
\(958\) | −220.874 | + | 238.045i | −0.230557 | + | 0.248481i | ||||
\(959\) | −1559.93 | − | 235.121i | −1.62662 | − | 0.245173i | ||||
\(960\) | 811.505 | − | 250.316i | 0.845318 | − | 0.260746i | ||||
\(961\) | −21.6950 | − | 289.499i | −0.0225754 | − | 0.301248i | ||||
\(962\) | −337.121 | − | 422.736i | −0.350437 | − | 0.439435i | ||||
\(963\) | −32.4829 | + | 82.7652i | −0.0337310 | + | 0.0859452i | ||||
\(964\) | −10.6238 | − | 11.4497i | −0.0110205 | − | 0.0118773i | ||||
\(965\) | 488.802 | + | 716.941i | 0.506530 | + | 0.742944i | ||||
\(966\) | −1188.14 | − | 89.0385i | −1.22995 | − | 0.0921724i | ||||
\(967\) | 133.558 | + | 585.157i | 0.138116 | + | 0.605127i | 0.995848 | + | 0.0910295i | \(0.0290157\pi\) |
−0.857732 | + | 0.514097i | \(0.828127\pi\) | |||||||
\(968\) | 174.939 | − | 39.9287i | 0.180722 | − | 0.0412487i | ||||
\(969\) | −55.1910 | + | 736.472i | −0.0569566 | + | 0.760033i | ||||
\(970\) | 486.350 | − | 331.588i | 0.501392 | − | 0.341843i | ||||
\(971\) | −199.723 | + | 185.316i | −0.205688 | + | 0.190851i | −0.776290 | − | 0.630376i | \(-0.782901\pi\) |
0.570602 | + | 0.821227i | \(0.306710\pi\) | |||||||
\(972\) | −40.4191 | − | 15.8633i | −0.0415834 | − | 0.0163203i | ||||
\(973\) | 512.709 | − | 408.872i | 0.526936 | − | 0.420217i | ||||
\(974\) | −1074.74 | + | 80.5407i | −1.10343 | + | 0.0826907i | ||||
\(975\) | 127.305 | + | 412.712i | 0.130569 | + | 0.423294i | ||||
\(976\) | −104.969 | + | 696.421i | −0.107550 | + | 0.713546i | ||||
\(977\) | −553.754 | − | 513.809i | −0.566790 | − | 0.525904i | 0.343894 | − | 0.939009i | \(-0.388254\pi\) |
−0.910684 | + | 0.413104i | \(0.864445\pi\) | |||||||
\(978\) | 170.167 | + | 353.356i | 0.173995 | + | 0.361304i | ||||
\(979\) | 286.292 | + | 1899.42i | 0.292433 | + | 1.94016i | ||||
\(980\) | 162.832 | − | 238.831i | 0.166155 | − | 0.243705i | ||||
\(981\) | −30.6779 | + | 38.4689i | −0.0312721 | + | 0.0392140i | ||||
\(982\) | 200.026 | + | 346.455i | 0.203692 | + | 0.352805i | ||||
\(983\) | −690.679 | − | 398.764i | −0.702624 | − | 0.405660i | 0.105700 | − | 0.994398i | \(-0.466292\pi\) |
−0.808324 | + | 0.588738i | \(0.799625\pi\) | |||||||
\(984\) | −167.816 | − | 427.589i | −0.170545 | − | 0.434542i | ||||
\(985\) | −470.011 | + | 975.988i | −0.477169 | + | 0.990851i | ||||
\(986\) | −66.4793 | − | 20.5061i | −0.0674232 | − | 0.0207973i | ||||
\(987\) | 487.592 | − | 2136.28i | 0.494015 | − | 2.16442i | ||||
\(988\) | 579.951i | 0.586995i | ||||||||
\(989\) | −538.207 | + | 817.240i | −0.544193 | + | 0.826330i | ||||
\(990\) | −48.1918 | −0.0486786 | ||||||||
\(991\) | 115.026 | + | 26.2538i | 0.116070 | + | 0.0264923i | 0.280161 | − | 0.959953i | \(-0.409612\pi\) |
−0.164091 | + | 0.986445i | \(0.552469\pi\) | |||||||
\(992\) | −151.169 | + | 490.078i | −0.152388 | + | 0.494030i | ||||
\(993\) | 82.1728 | + | 39.5723i | 0.0827521 | + | 0.0398513i | ||||
\(994\) | 1422.42 | − | 558.257i | 1.43100 | − | 0.561627i | ||||
\(995\) | −369.897 | + | 640.681i | −0.371756 | + | 0.643900i | ||||
\(996\) | −408.753 | + | 235.994i | −0.410395 | + | 0.236942i | ||||
\(997\) | 37.9995 | + | 30.3036i | 0.0381138 | + | 0.0303947i | 0.642361 | − | 0.766402i | \(-0.277955\pi\) |
−0.604248 | + | 0.796797i | \(0.706526\pi\) | |||||||
\(998\) | −423.211 | − | 288.541i | −0.424059 | − | 0.289119i | ||||
\(999\) | 565.220 | − | 85.1932i | 0.565786 | − | 0.0852785i |
(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 | 43.3.h.a.5.2 | ✓ | 72 | |
3.2 | odd | 2 | 387.3.bn.b.91.5 | 72 | |||
43.26 | odd | 42 | inner | 43.3.h.a.26.2 | yes | 72 | |
129.26 | even | 42 | 387.3.bn.b.370.5 | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.3.h.a.5.2 | ✓ | 72 | 1.1 | even | 1 | trivial | |
43.3.h.a.26.2 | yes | 72 | 43.26 | odd | 42 | inner | |
387.3.bn.b.91.5 | 72 | 3.2 | odd | 2 | |||
387.3.bn.b.370.5 | 72 | 129.26 | even | 42 |