Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [76,3,Mod(7,76)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(76, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 2]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("76.7");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 76 = 2^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 76.g (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.07085000914\) |
Analytic rank: | \(0\) |
Dimension: | \(28\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 11.4 | ||
Character | \(\chi\) | \(=\) | 76.11 |
Dual form | 76.3.g.c.7.4 |
$q$-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 \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.69874 | + | 1.05559i | −0.849372 | + | 0.527795i | ||||
\(3\) | 3.11547 | + | 1.79872i | 1.03849 | + | 0.599572i | 0.919405 | − | 0.393312i | \(-0.128671\pi\) |
0.119085 | + | 0.992884i | \(0.462004\pi\) | |||||||
\(4\) | 1.77146 | − | 3.58635i | 0.442866 | − | 0.896588i | ||||
\(5\) | 4.52938 | − | 7.84512i | 0.905876 | − | 1.56902i | 0.0861387 | − | 0.996283i | \(-0.472547\pi\) |
0.819737 | − | 0.572740i | \(-0.194119\pi\) | |||||||
\(6\) | −7.19109 | + | 0.233096i | −1.19852 | + | 0.0388494i | ||||
\(7\) | − | 2.81904i | − | 0.402720i | −0.979517 | − | 0.201360i | \(-0.935464\pi\) | ||
0.979517 | − | 0.201360i | \(-0.0645361\pi\) | |||||||
\(8\) | 0.776454 | + | 7.96223i | 0.0970567 | + | 0.995279i | ||||
\(9\) | 1.97077 | + | 3.41347i | 0.218974 | + | 0.379274i | ||||
\(10\) | 0.586964 | + | 18.1080i | 0.0586964 | + | 1.81080i | ||||
\(11\) | 11.6740i | 1.06128i | 0.847599 | + | 0.530638i | \(0.178048\pi\) | ||||
−0.847599 | + | 0.530638i | \(0.821952\pi\) | |||||||
\(12\) | 11.9698 | − | 7.98681i | 0.997481 | − | 0.665567i | ||||
\(13\) | −2.20531 | − | 3.81970i | −0.169639 | − | 0.293823i | 0.768654 | − | 0.639665i | \(-0.220927\pi\) |
−0.938293 | + | 0.345841i | \(0.887593\pi\) | |||||||
\(14\) | 2.97575 | + | 4.78883i | 0.212554 | + | 0.342059i | ||||
\(15\) | 28.2223 | − | 16.2941i | 1.88149 | − | 1.08628i | ||||
\(16\) | −9.72384 | − | 12.7062i | −0.607740 | − | 0.794136i | ||||
\(17\) | −9.59663 | + | 16.6219i | −0.564508 | + | 0.977756i | 0.432588 | + | 0.901592i | \(0.357601\pi\) |
−0.997095 | + | 0.0761642i | \(0.975733\pi\) | |||||||
\(18\) | −6.95104 | − | 3.71829i | −0.386169 | − | 0.206571i | ||||
\(19\) | 9.06982 | + | 16.6955i | 0.477359 | + | 0.878708i | ||||
\(20\) | −20.1117 | − | 30.1413i | −1.00559 | − | 1.50706i | ||||
\(21\) | 5.07066 | − | 8.78264i | 0.241460 | − | 0.418221i | ||||
\(22\) | −12.3230 | − | 19.8312i | −0.560136 | − | 0.901418i | ||||
\(23\) | −25.2864 | + | 14.5991i | −1.09941 | + | 0.634744i | −0.936066 | − | 0.351825i | \(-0.885561\pi\) |
−0.163343 | + | 0.986569i | \(0.552228\pi\) | |||||||
\(24\) | −11.9028 | + | 26.2027i | −0.495949 | + | 1.09178i | ||||
\(25\) | −28.5306 | − | 49.4164i | −1.14122 | − | 1.97665i | ||||
\(26\) | 7.77829 | + | 4.16080i | 0.299165 | + | 0.160031i | ||||
\(27\) | − | 18.1975i | − | 0.673982i | ||||||
\(28\) | −10.1101 | − | 4.99383i | −0.361074 | − | 0.178351i | ||||
\(29\) | 15.9091 | + | 27.5555i | 0.548591 | + | 0.950188i | 0.998371 | + | 0.0570486i | \(0.0181690\pi\) |
−0.449780 | + | 0.893139i | \(0.648498\pi\) | |||||||
\(30\) | −30.7425 | + | 57.4707i | −1.02475 | + | 1.91569i | ||||
\(31\) | − | 23.9508i | − | 0.772606i | −0.922372 | − | 0.386303i | \(-0.873752\pi\) | ||
0.922372 | − | 0.386303i | \(-0.126248\pi\) | |||||||
\(32\) | 29.9308 | + | 11.3202i | 0.935338 | + | 0.353755i | ||||
\(33\) | −20.9983 | + | 36.3701i | −0.636311 | + | 1.10212i | ||||
\(34\) | −1.24363 | − | 38.3664i | −0.0365774 | − | 1.12842i | ||||
\(35\) | −22.1157 | − | 12.7685i | −0.631877 | − | 0.364815i | ||||
\(36\) | 15.7330 | − | 1.02103i | 0.437029 | − | 0.0283620i | ||||
\(37\) | 19.3382 | 0.522655 | 0.261327 | − | 0.965250i | \(-0.415840\pi\) | ||||
0.261327 | + | 0.965250i | \(0.415840\pi\) | |||||||
\(38\) | −33.0309 | − | 18.7873i | −0.869233 | − | 0.494403i | ||||
\(39\) | − | 15.8669i | − | 0.406843i | ||||||
\(40\) | 65.9815 | + | 29.9726i | 1.64954 | + | 0.749315i | ||||
\(41\) | 2.87159 | − | 4.97375i | 0.0700389 | − | 0.121311i | −0.828879 | − | 0.559428i | \(-0.811021\pi\) |
0.898918 | + | 0.438117i | \(0.144354\pi\) | |||||||
\(42\) | 0.657108 | + | 20.2720i | 0.0156454 | + | 0.482666i | ||||
\(43\) | −12.4494 | − | 7.18768i | −0.289521 | − | 0.167155i | 0.348205 | − | 0.937419i | \(-0.386791\pi\) |
−0.637726 | + | 0.770263i | \(0.720125\pi\) | |||||||
\(44\) | 41.8672 | + | 20.6801i | 0.951527 | + | 0.470002i | ||||
\(45\) | 35.7054 | 0.793453 | ||||||||
\(46\) | 27.5445 | − | 51.4922i | 0.598793 | − | 1.11940i | ||||
\(47\) | −36.4249 | + | 21.0299i | −0.774998 | + | 0.447445i | −0.834655 | − | 0.550774i | \(-0.814333\pi\) |
0.0596567 | + | 0.998219i | \(0.480999\pi\) | |||||||
\(48\) | −7.43951 | − | 57.0761i | −0.154990 | − | 1.18909i | ||||
\(49\) | 41.0530 | 0.837816 | ||||||||
\(50\) | 100.630 | + | 53.8292i | 2.01259 | + | 1.07658i | ||||
\(51\) | −59.7960 | + | 34.5232i | −1.17247 | + | 0.676926i | ||||
\(52\) | −17.6054 | + | 1.14255i | −0.338566 | + | 0.0219720i | ||||
\(53\) | 16.2901 | + | 28.2152i | 0.307360 | + | 0.532362i | 0.977784 | − | 0.209616i | \(-0.0672212\pi\) |
−0.670424 | + | 0.741978i | \(0.733888\pi\) | |||||||
\(54\) | 19.2091 | + | 30.9129i | 0.355724 | + | 0.572461i | ||||
\(55\) | 91.5841 | + | 52.8761i | 1.66517 | + | 0.961384i | ||||
\(56\) | 22.4459 | − | 2.18885i | 0.400819 | − | 0.0390867i | ||||
\(57\) | −1.77365 | + | 68.3282i | −0.0311166 | + | 1.19874i | ||||
\(58\) | −56.1128 | − | 30.0161i | −0.967462 | − | 0.517520i | ||||
\(59\) | 9.13465 | + | 5.27389i | 0.154825 | + | 0.0893880i | 0.575411 | − | 0.817865i | \(-0.304842\pi\) |
−0.420586 | + | 0.907253i | \(0.638176\pi\) | |||||||
\(60\) | −8.44182 | − | 130.080i | −0.140697 | − | 2.16799i | ||||
\(61\) | −53.5230 | − | 92.7045i | −0.877426 | − | 1.51975i | −0.854156 | − | 0.520016i | \(-0.825926\pi\) |
−0.0232694 | − | 0.999729i | \(-0.507408\pi\) | |||||||
\(62\) | 25.2822 | + | 40.6862i | 0.407777 | + | 0.656230i | ||||
\(63\) | 9.62270 | − | 5.55567i | 0.152741 | − | 0.0881852i | ||||
\(64\) | −62.7942 | + | 12.3646i | −0.981160 | + | 0.193197i | ||||
\(65\) | −39.9547 | −0.614687 | ||||||||
\(66\) | −2.72117 | − | 83.9490i | −0.0412299 | − | 1.27195i | ||||
\(67\) | −109.917 | + | 63.4605i | −1.64055 | + | 0.947172i | −0.659911 | + | 0.751344i | \(0.729406\pi\) |
−0.980638 | + | 0.195828i | \(0.937261\pi\) | |||||||
\(68\) | 42.6117 | + | 63.8619i | 0.626643 | + | 0.939145i | ||||
\(69\) | −105.039 | −1.52230 | ||||||||
\(70\) | 51.0472 | − | 1.65467i | 0.729246 | − | 0.0236382i | ||||
\(71\) | −3.89373 | − | 2.24805i | −0.0548413 | − | 0.0316626i | 0.472329 | − | 0.881423i | \(-0.343414\pi\) |
−0.527170 | + | 0.849760i | \(0.676747\pi\) | |||||||
\(72\) | −25.6486 | + | 18.3421i | −0.356231 | + | 0.254751i | ||||
\(73\) | −12.5643 | + | 21.7620i | −0.172114 | + | 0.298110i | −0.939159 | − | 0.343484i | \(-0.888393\pi\) |
0.767045 | + | 0.641594i | \(0.221726\pi\) | |||||||
\(74\) | −32.8507 | + | 20.4132i | −0.443928 | + | 0.275854i | ||||
\(75\) | − | 205.274i | − | 2.73698i | ||||||
\(76\) | 75.9426 | − | 2.95220i | 0.999245 | − | 0.0388448i | ||||
\(77\) | 32.9096 | 0.427397 | ||||||||
\(78\) | 16.7489 | + | 26.9538i | 0.214730 | + | 0.345561i | ||||
\(79\) | 70.4767 | + | 40.6897i | 0.892110 | + | 0.515060i | 0.874632 | − | 0.484788i | \(-0.161103\pi\) |
0.0174777 | + | 0.999847i | \(0.494436\pi\) | |||||||
\(80\) | −143.724 | + | 18.7336i | −1.79655 | + | 0.234170i | ||||
\(81\) | 50.4691 | − | 87.4150i | 0.623075 | − | 1.07920i | ||||
\(82\) | 0.372131 | + | 11.4803i | 0.00453818 | + | 0.140004i | ||||
\(83\) | − | 138.888i | − | 1.67336i | −0.547696 | − | 0.836678i | \(-0.684495\pi\) | ||
0.547696 | − | 0.836678i | \(-0.315505\pi\) | |||||||
\(84\) | −22.5152 | − | 33.7433i | −0.268038 | − | 0.401706i | ||||
\(85\) | 86.9336 | + | 150.573i | 1.02275 | + | 1.77145i | ||||
\(86\) | 28.7356 | − | 0.931453i | 0.334135 | − | 0.0108308i | ||||
\(87\) | 114.464i | 1.31568i | ||||||||
\(88\) | −92.9513 | + | 9.06434i | −1.05627 | + | 0.103004i | ||||
\(89\) | −24.1722 | − | 41.8675i | −0.271598 | − | 0.470421i | 0.697673 | − | 0.716416i | \(-0.254219\pi\) |
−0.969271 | + | 0.245995i | \(0.920885\pi\) | |||||||
\(90\) | −60.6543 | + | 37.6902i | −0.673937 | + | 0.418780i | ||||
\(91\) | −10.7679 | + | 6.21685i | −0.118329 | + | 0.0683170i | ||||
\(92\) | 7.56364 | + | 116.548i | 0.0822135 | + | 1.26682i | ||||
\(93\) | 43.0807 | − | 74.6179i | 0.463233 | − | 0.802343i | ||||
\(94\) | 39.6776 | − | 74.1742i | 0.422102 | − | 0.789087i | ||||
\(95\) | 172.058 | + | 4.46625i | 1.81114 | + | 0.0470131i | ||||
\(96\) | 72.8868 | + | 89.1047i | 0.759237 | + | 0.928174i | ||||
\(97\) | −26.7563 | + | 46.3434i | −0.275839 | + | 0.477767i | −0.970346 | − | 0.241719i | \(-0.922289\pi\) |
0.694508 | + | 0.719485i | \(0.255622\pi\) | |||||||
\(98\) | −69.7385 | + | 43.3351i | −0.711618 | + | 0.442195i | ||||
\(99\) | −39.8489 | + | 23.0068i | −0.402514 | + | 0.232392i | ||||
\(100\) | −227.765 | + | 14.7814i | −2.27765 | + | 0.147814i | ||||
\(101\) | −15.2493 | − | 26.4126i | −0.150984 | − | 0.261511i | 0.780606 | − | 0.625024i | \(-0.214911\pi\) |
−0.931589 | + | 0.363513i | \(0.881577\pi\) | |||||||
\(102\) | 65.1358 | − | 121.766i | 0.638586 | − | 1.19379i | ||||
\(103\) | − | 56.0986i | − | 0.544646i | −0.962206 | − | 0.272323i | \(-0.912208\pi\) | ||
0.962206 | − | 0.272323i | \(-0.0877920\pi\) | |||||||
\(104\) | 28.7010 | − | 20.5250i | 0.275972 | − | 0.197356i | ||||
\(105\) | −45.9339 | − | 79.5598i | −0.437465 | − | 0.757712i | ||||
\(106\) | −57.4563 | − | 30.7348i | −0.542041 | − | 0.289951i | ||||
\(107\) | − | 8.87585i | − | 0.0829519i | −0.999140 | − | 0.0414759i | \(-0.986794\pi\) | ||
0.999140 | − | 0.0414759i | \(-0.0132060\pi\) | |||||||
\(108\) | −65.2627 | − | 32.2362i | −0.604284 | − | 0.298483i | ||||
\(109\) | −2.29522 | + | 3.97543i | −0.0210570 | + | 0.0364718i | −0.876362 | − | 0.481653i | \(-0.840036\pi\) |
0.855305 | + | 0.518125i | \(0.173370\pi\) | |||||||
\(110\) | −211.393 | + | 6.85223i | −1.92176 | + | 0.0622930i | ||||
\(111\) | 60.2477 | + | 34.7840i | 0.542772 | + | 0.313369i | ||||
\(112\) | −35.8192 | + | 27.4119i | −0.319815 | + | 0.244749i | ||||
\(113\) | 174.766 | 1.54660 | 0.773301 | − | 0.634039i | \(-0.218604\pi\) | ||||
0.773301 | + | 0.634039i | \(0.218604\pi\) | |||||||
\(114\) | −69.1136 | − | 117.944i | −0.606259 | − | 1.03460i | ||||
\(115\) | 264.500i | 2.30000i | ||||||||
\(116\) | 127.006 | − | 8.24235i | 1.09488 | − | 0.0710548i | ||||
\(117\) | 8.69228 | − | 15.0555i | 0.0742930 | − | 0.128679i | ||||
\(118\) | −21.0845 | + | 0.683445i | −0.178682 | + | 0.00579191i | ||||
\(119\) | 46.8577 | + | 27.0533i | 0.393762 | + | 0.227339i | ||||
\(120\) | 151.651 | + | 212.061i | 1.26376 | + | 1.76717i | ||||
\(121\) | −15.2830 | −0.126306 | ||||||||
\(122\) | 188.780 | + | 100.983i | 1.54737 | + | 0.827729i | ||||
\(123\) | 17.8927 | − | 10.3304i | 0.145469 | − | 0.0839868i | ||||
\(124\) | −85.8959 | − | 42.4279i | −0.692709 | − | 0.342161i | ||||
\(125\) | −290.434 | −2.32347 | ||||||||
\(126\) | −10.4820 | + | 19.5953i | −0.0831905 | + | 0.155518i | ||||
\(127\) | 145.773 | − | 84.1618i | 1.14782 | − | 0.662691i | 0.199461 | − | 0.979906i | \(-0.436081\pi\) |
0.948354 | + | 0.317214i | \(0.102747\pi\) | |||||||
\(128\) | 93.6194 | − | 87.2892i | 0.731402 | − | 0.681947i | ||||
\(129\) | −25.8572 | − | 44.7860i | −0.200443 | − | 0.347178i | ||||
\(130\) | 67.8728 | − | 42.1757i | 0.522098 | − | 0.324429i | ||||
\(131\) | −106.509 | − | 61.4929i | −0.813044 | − | 0.469411i | 0.0349677 | − | 0.999388i | \(-0.488867\pi\) |
−0.848012 | + | 0.529977i | \(0.822200\pi\) | |||||||
\(132\) | 93.2383 | + | 139.735i | 0.706350 | + | 1.05860i | ||||
\(133\) | 47.0652 | − | 25.5682i | 0.353874 | − | 0.192242i | ||||
\(134\) | 119.732 | − | 223.830i | 0.893525 | − | 1.67037i | ||||
\(135\) | −142.762 | − | 82.4234i | −1.05749 | − | 0.610544i | ||||
\(136\) | −139.798 | − | 63.5045i | −1.02793 | − | 0.466945i | ||||
\(137\) | 40.8518 | + | 70.7574i | 0.298188 | + | 0.516477i | 0.975721 | − | 0.219015i | \(-0.0702844\pi\) |
−0.677533 | + | 0.735492i | \(0.736951\pi\) | |||||||
\(138\) | 178.434 | − | 110.878i | 1.29300 | − | 0.803462i | ||||
\(139\) | 16.6104 | − | 9.59003i | 0.119499 | − | 0.0689930i | −0.439059 | − | 0.898458i | \(-0.644688\pi\) |
0.558558 | + | 0.829465i | \(0.311355\pi\) | |||||||
\(140\) | −84.9695 | + | 56.6958i | −0.606925 | + | 0.404970i | ||||
\(141\) | −151.308 | −1.07310 | ||||||||
\(142\) | 8.98747 | − | 0.291325i | 0.0632920 | − | 0.00205159i | ||||
\(143\) | 44.5913 | − | 25.7448i | 0.311827 | − | 0.180034i | ||||
\(144\) | 24.2087 | − | 58.2329i | 0.168116 | − | 0.404395i | ||||
\(145\) | 288.234 | 1.98782 | ||||||||
\(146\) | −1.62821 | − | 50.2309i | −0.0111521 | − | 0.344047i | ||||
\(147\) | 127.899 | + | 73.8427i | 0.870064 | + | 0.502332i | ||||
\(148\) | 34.2570 | − | 69.3537i | 0.231466 | − | 0.468606i | ||||
\(149\) | 33.0378 | − | 57.2232i | 0.221730 | − | 0.384048i | −0.733603 | − | 0.679578i | \(-0.762163\pi\) |
0.955333 | + | 0.295530i | \(0.0954962\pi\) | |||||||
\(150\) | 216.685 | + | 348.707i | 1.44456 | + | 2.32472i | ||||
\(151\) | − | 12.6319i | − | 0.0836552i | −0.999125 | − | 0.0418276i | \(-0.986682\pi\) | ||
0.999125 | − | 0.0418276i | \(-0.0133180\pi\) | |||||||
\(152\) | −125.891 | + | 85.1793i | −0.828229 | + | 0.560390i | ||||
\(153\) | −75.6508 | −0.494450 | ||||||||
\(154\) | −55.9050 | + | 34.7390i | −0.363019 | + | 0.225578i | ||||
\(155\) | −187.897 | − | 108.482i | −1.21224 | − | 0.699885i | ||||
\(156\) | −56.9042 | − | 28.1076i | −0.364771 | − | 0.180177i | ||||
\(157\) | 22.5170 | − | 39.0005i | 0.143420 | − | 0.248411i | −0.785362 | − | 0.619037i | \(-0.787523\pi\) |
0.928782 | + | 0.370625i | \(0.120857\pi\) | |||||||
\(158\) | −162.673 | + | 5.27299i | −1.02958 | + | 0.0333734i | ||||
\(159\) | 117.205i | 0.737137i | ||||||||
\(160\) | 224.376 | − | 183.537i | 1.40235 | − | 1.14711i | ||||
\(161\) | 41.1555 | + | 71.2834i | 0.255624 | + | 0.442754i | ||||
\(162\) | 6.54030 | + | 201.770i | 0.0403722 | + | 1.24550i | ||||
\(163\) | 80.7645i | 0.495488i | 0.968826 | + | 0.247744i | \(0.0796892\pi\) | ||||
−0.968826 | + | 0.247744i | \(0.920311\pi\) | |||||||
\(164\) | −12.7507 | − | 19.1094i | −0.0777481 | − | 0.116520i | ||||
\(165\) | 190.218 | + | 329.468i | 1.15284 | + | 1.99677i | ||||
\(166\) | 146.609 | + | 235.936i | 0.883188 | + | 1.42130i | ||||
\(167\) | −164.130 | + | 94.7605i | −0.982814 | + | 0.567428i | −0.903119 | − | 0.429391i | \(-0.858728\pi\) |
−0.0796954 | + | 0.996819i | \(0.525395\pi\) | |||||||
\(168\) | 73.8665 | + | 33.5544i | 0.439682 | + | 0.199729i | ||||
\(169\) | 74.7732 | − | 129.511i | 0.442445 | − | 0.766338i | ||||
\(170\) | −306.622 | − | 164.019i | −1.80366 | − | 0.964820i | ||||
\(171\) | −39.1149 | + | 63.8624i | −0.228742 | + | 0.373464i | ||||
\(172\) | −47.8312 | + | 31.9153i | −0.278088 | + | 0.185554i | ||||
\(173\) | −66.4142 | + | 115.033i | −0.383897 | + | 0.664930i | −0.991616 | − | 0.129223i | \(-0.958752\pi\) |
0.607718 | + | 0.794153i | \(0.292085\pi\) | |||||||
\(174\) | −120.827 | − | 194.445i | −0.694409 | − | 1.11750i | ||||
\(175\) | −139.307 | + | 80.4288i | −0.796039 | + | 0.459593i | ||||
\(176\) | 148.332 | − | 113.516i | 0.842797 | − | 0.644980i | ||||
\(177\) | 18.9725 | + | 32.8613i | 0.107189 | + | 0.185657i | ||||
\(178\) | 85.2572 | + | 45.6062i | 0.478973 | + | 0.256215i | ||||
\(179\) | 71.2078i | 0.397809i | 0.980019 | + | 0.198904i | \(0.0637384\pi\) | ||||
−0.980019 | + | 0.198904i | \(0.936262\pi\) | |||||||
\(180\) | 63.2507 | − | 128.052i | 0.351393 | − | 0.711400i | ||||
\(181\) | −74.3514 | − | 128.780i | −0.410781 | − | 0.711494i | 0.584194 | − | 0.811614i | \(-0.301411\pi\) |
−0.994975 | + | 0.100120i | \(0.968077\pi\) | |||||||
\(182\) | 11.7295 | − | 21.9273i | 0.0644476 | − | 0.120480i | ||||
\(183\) | − | 385.091i | − | 2.10432i | ||||||
\(184\) | −135.875 | − | 190.001i | −0.738452 | − | 1.03261i | ||||
\(185\) | 87.5902 | − | 151.711i | 0.473460 | − | 0.820058i | ||||
\(186\) | 5.58284 | + | 172.232i | 0.0300153 | + | 0.925980i | ||||
\(187\) | −194.044 | − | 112.031i | −1.03767 | − | 0.599098i | ||||
\(188\) | 10.8954 | + | 167.886i | 0.0579541 | + | 0.893012i | ||||
\(189\) | −51.2995 | −0.271426 | ||||||||
\(190\) | −296.998 | + | 174.036i | −1.56315 | + | 0.915979i | ||||
\(191\) | − | 158.757i | − | 0.831187i | −0.909550 | − | 0.415594i | \(-0.863574\pi\) | ||
0.909550 | − | 0.415594i | \(-0.136426\pi\) | |||||||
\(192\) | −217.874 | − | 74.4275i | −1.13476 | − | 0.387643i | ||||
\(193\) | −154.059 | + | 266.837i | −0.798231 | + | 1.38258i | 0.122536 | + | 0.992464i | \(0.460897\pi\) |
−0.920767 | + | 0.390113i | \(0.872436\pi\) | |||||||
\(194\) | −3.46736 | − | 106.969i | −0.0178730 | − | 0.551388i | ||||
\(195\) | −124.478 | − | 71.8672i | −0.638346 | − | 0.368550i | ||||
\(196\) | 72.7239 | − | 147.231i | 0.371040 | − | 0.751176i | ||||
\(197\) | 44.2927 | 0.224836 | 0.112418 | − | 0.993661i | \(-0.464140\pi\) | ||||
0.112418 | + | 0.993661i | \(0.464140\pi\) | |||||||
\(198\) | 43.4074 | − | 81.1467i | 0.219229 | − | 0.409832i | ||||
\(199\) | 198.448 | − | 114.574i | 0.997225 | − | 0.575748i | 0.0897989 | − | 0.995960i | \(-0.471378\pi\) |
0.907426 | + | 0.420212i | \(0.138044\pi\) | |||||||
\(200\) | 371.312 | − | 265.536i | 1.85656 | − | 1.32768i | ||||
\(201\) | −456.590 | −2.27159 | ||||||||
\(202\) | 53.7856 | + | 28.7713i | 0.266265 | + | 0.142432i | ||||
\(203\) | 77.6800 | − | 44.8485i | 0.382660 | − | 0.220929i | ||||
\(204\) | 17.8861 | + | 275.606i | 0.0876770 | + | 1.35101i | ||||
\(205\) | −26.0131 | − | 45.0560i | −0.126893 | − | 0.219785i | ||||
\(206\) | 59.2171 | + | 95.2971i | 0.287461 | + | 0.462607i | ||||
\(207\) | −99.6672 | − | 57.5429i | −0.481484 | − | 0.277985i | ||||
\(208\) | −27.0898 | + | 65.1632i | −0.130239 | + | 0.313285i | ||||
\(209\) | −194.903 | + | 105.881i | −0.932552 | + | 0.506610i | ||||
\(210\) | 162.012 | + | 86.6644i | 0.771487 | + | 0.412688i | ||||
\(211\) | 123.613 | + | 71.3683i | 0.585846 | + | 0.338238i | 0.763453 | − | 0.645863i | \(-0.223502\pi\) |
−0.177607 | + | 0.984101i | \(0.556836\pi\) | |||||||
\(212\) | 130.047 | − | 8.43970i | 0.613429 | − | 0.0398099i | ||||
\(213\) | −8.08720 | − | 14.0074i | −0.0379681 | − | 0.0657627i | ||||
\(214\) | 9.36925 | + | 15.0778i | 0.0437815 | + | 0.0704570i | ||||
\(215\) | −112.776 | + | 65.1114i | −0.524541 | + | 0.302844i | ||||
\(216\) | 144.893 | − | 14.1295i | 0.670800 | − | 0.0654144i | ||||
\(217\) | −67.5183 | −0.311144 | ||||||||
\(218\) | −0.297438 | − | 9.17604i | −0.00136439 | − | 0.0420919i | ||||
\(219\) | −78.2875 | + | 45.1993i | −0.357477 | + | 0.206389i | ||||
\(220\) | 351.870 | − | 234.785i | 1.59941 | − | 1.06720i | ||||
\(221\) | 84.6541 | 0.383050 | ||||||||
\(222\) | −139.063 | + | 4.50767i | −0.626410 | + | 0.0203048i | ||||
\(223\) | 79.7297 | + | 46.0319i | 0.357532 | + | 0.206421i | 0.667998 | − | 0.744163i | \(-0.267152\pi\) |
−0.310466 | + | 0.950585i | \(0.600485\pi\) | |||||||
\(224\) | 31.9120 | − | 84.3762i | 0.142464 | − | 0.376680i | ||||
\(225\) | 112.454 | − | 194.776i | 0.499796 | − | 0.865672i | ||||
\(226\) | −296.883 | + | 184.481i | −1.31364 | + | 0.816289i | ||||
\(227\) | 36.7352i | 0.161829i | 0.996721 | + | 0.0809145i | \(0.0257841\pi\) | ||||
−0.996721 | + | 0.0809145i | \(0.974216\pi\) | |||||||
\(228\) | 241.907 | + | 127.402i | 1.06100 | + | 0.558780i | ||||
\(229\) | 45.3630 | 0.198092 | 0.0990459 | − | 0.995083i | \(-0.468421\pi\) | ||||
0.0990459 | + | 0.995083i | \(0.468421\pi\) | |||||||
\(230\) | −279.203 | − | 449.317i | −1.21393 | − | 1.95355i | ||||
\(231\) | 102.529 | + | 59.1950i | 0.443848 | + | 0.256255i | ||||
\(232\) | −207.050 | + | 148.068i | −0.892458 | + | 0.638223i | ||||
\(233\) | −96.8854 | + | 167.810i | −0.415817 | + | 0.720216i | −0.995514 | − | 0.0946161i | \(-0.969838\pi\) |
0.579697 | + | 0.814832i | \(0.303171\pi\) | |||||||
\(234\) | 1.12644 | + | 34.7509i | 0.00481383 | + | 0.148508i | ||||
\(235\) | 381.010i | 1.62132i | ||||||||
\(236\) | 35.0957 | − | 23.4176i | 0.148711 | − | 0.0992270i | ||||
\(237\) | 146.379 | + | 253.535i | 0.617631 | + | 1.06977i | ||||
\(238\) | −108.156 | + | 3.50585i | −0.454439 | + | 0.0147304i | ||||
\(239\) | 172.376i | 0.721238i | 0.932713 | + | 0.360619i | \(0.117435\pi\) | ||||
−0.932713 | + | 0.360619i | \(0.882565\pi\) | |||||||
\(240\) | −481.465 | − | 200.156i | −2.00611 | − | 0.833982i | ||||
\(241\) | 136.476 | + | 236.384i | 0.566291 | + | 0.980845i | 0.996928 | + | 0.0783202i | \(0.0249556\pi\) |
−0.430637 | + | 0.902525i | \(0.641711\pi\) | |||||||
\(242\) | 25.9619 | − | 16.1326i | 0.107281 | − | 0.0666635i | ||||
\(243\) | 172.634 | − | 99.6703i | 0.710428 | − | 0.410166i | ||||
\(244\) | −427.285 | + | 27.7297i | −1.75117 | + | 0.113646i | ||||
\(245\) | 185.945 | − | 322.066i | 0.758958 | − | 1.31455i | ||||
\(246\) | −19.4905 | + | 36.4360i | −0.0792298 | + | 0.148114i | ||||
\(247\) | 43.7699 | − | 71.4626i | 0.177206 | − | 0.289322i | ||||
\(248\) | 190.702 | − | 18.5967i | 0.768958 | − | 0.0749866i | ||||
\(249\) | 249.821 | − | 432.703i | 1.00330 | − | 1.73776i | ||||
\(250\) | 493.373 | − | 306.579i | 1.97349 | − | 1.22632i | ||||
\(251\) | 206.313 | − | 119.115i | 0.821965 | − | 0.474562i | −0.0291287 | − | 0.999576i | \(-0.509273\pi\) |
0.851094 | + | 0.525014i | \(0.175940\pi\) | |||||||
\(252\) | −2.87833 | − | 44.3521i | −0.0114220 | − | 0.176000i | ||||
\(253\) | −170.430 | − | 295.194i | −0.673638 | − | 1.16678i | ||||
\(254\) | −158.790 | + | 296.845i | −0.625157 | + | 1.16868i | ||||
\(255\) | 625.476i | 2.45285i | ||||||||
\(256\) | −66.8938 | + | 247.106i | −0.261304 | + | 0.965257i | ||||
\(257\) | −70.1915 | − | 121.575i | −0.273119 | − | 0.473055i | 0.696540 | − | 0.717518i | \(-0.254722\pi\) |
−0.969659 | + | 0.244463i | \(0.921388\pi\) | |||||||
\(258\) | 91.2003 | + | 48.7853i | 0.353490 | + | 0.189090i | ||||
\(259\) | − | 54.5153i | − | 0.210484i | ||||||
\(260\) | −70.7782 | + | 143.292i | −0.272224 | + | 0.551121i | ||||
\(261\) | −62.7064 | + | 108.611i | −0.240254 | + | 0.416133i | ||||
\(262\) | 245.842 | − | 7.96888i | 0.938330 | − | 0.0304156i | ||||
\(263\) | 140.437 | + | 81.0814i | 0.533981 | + | 0.308294i | 0.742636 | − | 0.669695i | \(-0.233575\pi\) |
−0.208655 | + | 0.977989i | \(0.566909\pi\) | |||||||
\(264\) | −305.891 | − | 138.953i | −1.15868 | − | 0.526339i | ||||
\(265\) | 295.135 | 1.11372 | ||||||||
\(266\) | −52.9622 | + | 93.1154i | −0.199106 | + | 0.350058i | ||||
\(267\) | − | 173.916i | − | 0.651370i | ||||||
\(268\) | 32.8782 | + | 506.618i | 0.122680 | + | 1.89037i | ||||
\(269\) | 117.202 | − | 203.000i | 0.435695 | − | 0.754647i | −0.561657 | − | 0.827370i | \(-0.689836\pi\) |
0.997352 | + | 0.0727237i | \(0.0231691\pi\) | |||||||
\(270\) | 329.521 | − | 10.6813i | 1.22045 | − | 0.0395603i | ||||
\(271\) | −107.762 | − | 62.2163i | −0.397645 | − | 0.229581i | 0.287822 | − | 0.957684i | \(-0.407069\pi\) |
−0.685467 | + | 0.728103i | \(0.740402\pi\) | |||||||
\(272\) | 304.516 | − | 39.6918i | 1.11955 | − | 0.145926i | ||||
\(273\) | −44.7294 | −0.163844 | ||||||||
\(274\) | −144.087 | − | 77.0759i | −0.525867 | − | 0.281299i | ||||
\(275\) | 576.888 | − | 333.067i | 2.09778 | − | 1.21115i | ||||
\(276\) | −186.072 | + | 376.706i | −0.674174 | + | 1.36488i | ||||
\(277\) | 240.837 | 0.869447 | 0.434724 | − | 0.900564i | \(-0.356846\pi\) | ||||
0.434724 | + | 0.900564i | \(0.356846\pi\) | |||||||
\(278\) | −18.0937 | + | 33.8248i | −0.0650853 | + | 0.121672i | ||||
\(279\) | 81.7552 | − | 47.2014i | 0.293029 | − | 0.169181i | ||||
\(280\) | 84.4940 | − | 186.005i | 0.301764 | − | 0.664302i | ||||
\(281\) | 155.780 | + | 269.819i | 0.554378 | + | 0.960211i | 0.997952 | + | 0.0639730i | \(0.0203772\pi\) |
−0.443574 | + | 0.896238i | \(0.646290\pi\) | |||||||
\(282\) | 257.033 | − | 159.719i | 0.911464 | − | 0.566378i | ||||
\(283\) | −342.914 | − | 197.981i | −1.21171 | − | 0.699581i | −0.248578 | − | 0.968612i | \(-0.579963\pi\) |
−0.963132 | + | 0.269031i | \(0.913297\pi\) | |||||||
\(284\) | −14.9599 | + | 9.98196i | −0.0526757 | + | 0.0351478i | ||||
\(285\) | 528.009 | + | 323.399i | 1.85266 | + | 1.13473i | ||||
\(286\) | −48.5733 | + | 90.8040i | −0.169837 | + | 0.317496i | ||||
\(287\) | −14.0212 | − | 8.09515i | −0.0488544 | − | 0.0282061i | ||||
\(288\) | 20.3457 | + | 124.477i | 0.0706446 | + | 0.432213i | ||||
\(289\) | −39.6907 | − | 68.7463i | −0.137338 | − | 0.237876i | ||||
\(290\) | −489.636 | + | 304.257i | −1.68840 | + | 1.04916i | ||||
\(291\) | −166.717 | + | 96.2542i | −0.572911 | + | 0.330770i | ||||
\(292\) | 55.7891 | + | 83.6107i | 0.191059 | + | 0.286338i | ||||
\(293\) | −455.316 | −1.55398 | −0.776990 | − | 0.629513i | \(-0.783254\pi\) | ||||
−0.776990 | + | 0.629513i | \(0.783254\pi\) | |||||||
\(294\) | −295.216 | + | 9.56930i | −1.00414 | + | 0.0325486i | ||||
\(295\) | 82.7486 | − | 47.7749i | 0.280504 | − | 0.161949i | ||||
\(296\) | 15.0152 | + | 153.975i | 0.0507272 | + | 0.520187i | ||||
\(297\) | 212.438 | 0.715280 | ||||||||
\(298\) | 4.28138 | + | 132.082i | 0.0143670 | + | 0.443228i | ||||
\(299\) | 111.529 | + | 64.3910i | 0.373005 | + | 0.215355i | ||||
\(300\) | −736.183 | − | 363.634i | −2.45394 | − | 1.21211i | ||||
\(301\) | −20.2624 | + | 35.0954i | −0.0673168 | + | 0.116596i | ||||
\(302\) | 13.3341 | + | 21.4584i | 0.0441528 | + | 0.0710544i | ||||
\(303\) | − | 109.717i | − | 0.362102i | ||||||
\(304\) | 123.942 | − | 277.587i | 0.407704 | − | 0.913114i | ||||
\(305\) | −969.703 | −3.17935 | ||||||||
\(306\) | 128.511 | − | 79.8562i | 0.419972 | − | 0.260968i | ||||
\(307\) | 306.496 | + | 176.956i | 0.998358 | + | 0.576403i | 0.907762 | − | 0.419485i | \(-0.137789\pi\) |
0.0905962 | + | 0.995888i | \(0.471123\pi\) | |||||||
\(308\) | 58.2981 | − | 118.025i | 0.189279 | − | 0.383199i | ||||
\(309\) | 100.905 | − | 174.773i | 0.326555 | − | 0.565610i | ||||
\(310\) | 433.701 | − | 14.0582i | 1.39904 | − | 0.0453491i | ||||
\(311\) | − | 508.683i | − | 1.63564i | −0.575475 | − | 0.817819i | \(-0.695183\pi\) | ||
0.575475 | − | 0.817819i | \(-0.304817\pi\) | |||||||
\(312\) | 126.336 | − | 12.3199i | 0.404923 | − | 0.0394869i | ||||
\(313\) | −227.534 | − | 394.101i | −0.726946 | − | 1.25911i | −0.958168 | − | 0.286206i | \(-0.907606\pi\) |
0.231222 | − | 0.972901i | \(-0.425728\pi\) | |||||||
\(314\) | 2.91798 | + | 90.0206i | 0.00929293 | + | 0.286690i | ||||
\(315\) | − | 100.655i | − | 0.319540i | ||||||
\(316\) | 270.774 | − | 180.674i | 0.856881 | − | 0.571753i | ||||
\(317\) | −299.225 | − | 518.273i | −0.943927 | − | 1.63493i | −0.757886 | − | 0.652387i | \(-0.773768\pi\) |
−0.186041 | − | 0.982542i | \(-0.559566\pi\) | |||||||
\(318\) | −123.720 | − | 199.101i | −0.389057 | − | 0.626104i | ||||
\(319\) | −321.683 | + | 185.724i | −1.00841 | + | 0.582206i | ||||
\(320\) | −187.417 | + | 548.632i | −0.585679 | + | 1.71448i | ||||
\(321\) | 15.9651 | − | 27.6524i | 0.0497356 | − | 0.0861446i | ||||
\(322\) | −145.159 | − | 77.6490i | −0.450803 | − | 0.241146i | ||||
\(323\) | −364.549 | − | 9.46287i | −1.12864 | − | 0.0292968i | ||||
\(324\) | −224.097 | − | 335.852i | −0.691657 | − | 1.03658i | ||||
\(325\) | −125.837 | + | 217.956i | −0.387191 | + | 0.670635i | ||||
\(326\) | −85.2542 | − | 137.198i | −0.261516 | − | 0.420854i | ||||
\(327\) | −14.3013 | + | 8.25689i | −0.0437350 | + | 0.0252504i | ||||
\(328\) | 41.8318 | + | 19.0024i | 0.127536 | + | 0.0579342i | ||||
\(329\) | 59.2842 | + | 102.683i | 0.180195 | + | 0.312107i | ||||
\(330\) | −670.915 | − | 358.889i | −2.03308 | − | 1.08754i | ||||
\(331\) | − | 282.230i | − | 0.852657i | −0.904568 | − | 0.426329i | \(-0.859807\pi\) | ||
0.904568 | − | 0.426329i | \(-0.140193\pi\) | |||||||
\(332\) | −498.103 | − | 246.036i | −1.50031 | − | 0.741071i | ||||
\(333\) | 38.1111 | + | 66.0104i | 0.114448 | + | 0.198229i | ||||
\(334\) | 178.787 | − | 334.228i | 0.535289 | − | 1.00068i | ||||
\(335\) | 1149.75i | 3.43208i | ||||||||
\(336\) | −160.900 | + | 20.9723i | −0.478869 | + | 0.0624176i | ||||
\(337\) | −39.3112 | + | 68.0891i | −0.116651 | + | 0.202045i | −0.918438 | − | 0.395564i | \(-0.870549\pi\) |
0.801788 | + | 0.597609i | \(0.203882\pi\) | |||||||
\(338\) | 9.68989 | + | 298.936i | 0.0286683 | + | 0.884426i | ||||
\(339\) | 544.478 | + | 314.355i | 1.60613 | + | 0.927300i | ||||
\(340\) | 694.009 | − | 45.0393i | 2.04120 | − | 0.132469i | ||||
\(341\) | 279.602 | 0.819948 | ||||||||
\(342\) | −0.966261 | − | 149.775i | −0.00282533 | − | 0.437939i | ||||
\(343\) | − | 253.863i | − | 0.740126i | ||||||
\(344\) | 47.5635 | − | 104.706i | 0.138266 | − | 0.304378i | ||||
\(345\) | −475.760 | + | 824.041i | −1.37901 | + | 2.38852i | ||||
\(346\) | −8.60664 | − | 265.518i | −0.0248747 | − | 0.767392i | ||||
\(347\) | −155.605 | − | 89.8386i | −0.448429 | − | 0.258901i | 0.258737 | − | 0.965948i | \(-0.416694\pi\) |
−0.707167 | + | 0.707047i | \(0.750027\pi\) | |||||||
\(348\) | 410.509 | + | 202.769i | 1.17962 | + | 0.582670i | ||||
\(349\) | −93.3245 | −0.267405 | −0.133703 | − | 0.991021i | \(-0.542687\pi\) | ||||
−0.133703 | + | 0.991021i | \(0.542687\pi\) | |||||||
\(350\) | 151.747 | − | 283.679i | 0.433562 | − | 0.810511i | ||||
\(351\) | −69.5091 | + | 40.1311i | −0.198032 | + | 0.114334i | ||||
\(352\) | −132.152 | + | 349.413i | −0.375431 | + | 0.992651i | ||||
\(353\) | 474.560 | 1.34436 | 0.672182 | − | 0.740386i | \(-0.265357\pi\) | ||||
0.672182 | + | 0.740386i | \(0.265357\pi\) | |||||||
\(354\) | −66.9174 | − | 35.7958i | −0.189032 | − | 0.101118i | ||||
\(355\) | −35.2724 | + | 20.3645i | −0.0993588 | + | 0.0573648i | ||||
\(356\) | −192.972 | + | 12.5233i | −0.542055 | + | 0.0351779i | ||||
\(357\) | 97.3225 | + | 168.567i | 0.272612 | + | 0.472178i | ||||
\(358\) | −75.1662 | − | 120.964i | −0.209961 | − | 0.337888i | ||||
\(359\) | −409.552 | − | 236.455i | −1.14081 | − | 0.658649i | −0.194182 | − | 0.980966i | \(-0.562205\pi\) |
−0.946632 | + | 0.322316i | \(0.895539\pi\) | |||||||
\(360\) | 27.7236 | + | 284.294i | 0.0770099 | + | 0.789707i | ||||
\(361\) | −196.477 | + | 302.850i | −0.544257 | + | 0.838919i | ||||
\(362\) | 262.243 | + | 140.280i | 0.724429 | + | 0.387515i | ||||
\(363\) | −47.6137 | − | 27.4898i | −0.131167 | − | 0.0757294i | ||||
\(364\) | 3.22088 | + | 49.6304i | 0.00884858 | + | 0.136347i | ||||
\(365\) | 113.817 | + | 197.137i | 0.311828 | + | 0.540101i | ||||
\(366\) | 406.498 | + | 654.170i | 1.11065 | + | 1.78735i | ||||
\(367\) | 48.5847 | − | 28.0504i | 0.132383 | − | 0.0764316i | −0.432346 | − | 0.901708i | \(-0.642314\pi\) |
0.564729 | + | 0.825276i | \(0.308981\pi\) | |||||||
\(368\) | 431.380 | + | 179.334i | 1.17223 | + | 0.487321i | ||||
\(369\) | 22.6370 | 0.0613468 | ||||||||
\(370\) | 11.3508 | + | 350.177i | 0.0306779 | + | 0.946424i | ||||
\(371\) | 79.5399 | − | 45.9224i | 0.214393 | − | 0.123780i | ||||
\(372\) | −191.290 | − | 286.685i | −0.514221 | − | 0.770659i | ||||
\(373\) | −491.645 | −1.31808 | −0.659042 | − | 0.752106i | \(-0.729038\pi\) | ||||
−0.659042 | + | 0.752106i | \(0.729038\pi\) | |||||||
\(374\) | 447.890 | − | 14.5182i | 1.19757 | − | 0.0388187i | ||||
\(375\) | −904.838 | − | 522.408i | −2.41290 | − | 1.39309i | ||||
\(376\) | −195.727 | − | 273.695i | −0.520552 | − | 0.727911i | ||||
\(377\) | 70.1691 | − | 121.536i | 0.186125 | − | 0.322378i | ||||
\(378\) | 87.1448 | − | 54.1512i | 0.230542 | − | 0.143257i | ||||
\(379\) | 401.210i | 1.05860i | 0.848434 | + | 0.529301i | \(0.177546\pi\) | ||||
−0.848434 | + | 0.529301i | \(0.822454\pi\) | |||||||
\(380\) | 320.813 | − | 609.150i | 0.844244 | − | 1.60303i | ||||
\(381\) | 605.533 | 1.58933 | ||||||||
\(382\) | 167.582 | + | 269.687i | 0.438696 | + | 0.705987i | ||||
\(383\) | −74.9428 | − | 43.2682i | −0.195673 | − | 0.112972i | 0.398963 | − | 0.916967i | \(-0.369370\pi\) |
−0.594636 | + | 0.803995i | \(0.702704\pi\) | |||||||
\(384\) | 448.677 | − | 103.552i | 1.16843 | − | 0.269667i | ||||
\(385\) | 149.060 | − | 258.179i | 0.387169 | − | 0.670596i | ||||
\(386\) | −19.9645 | − | 615.911i | −0.0517215 | − | 1.59562i | ||||
\(387\) | − | 56.6609i | − | 0.146411i | ||||||
\(388\) | 118.806 | + | 178.053i | 0.306200 | + | 0.458900i | ||||
\(389\) | 303.042 | + | 524.884i | 0.779028 | + | 1.34932i | 0.932502 | + | 0.361164i | \(0.117621\pi\) |
−0.153474 | + | 0.988153i | \(0.549046\pi\) | |||||||
\(390\) | 287.318 | − | 9.31329i | 0.736712 | − | 0.0238802i | ||||
\(391\) | − | 560.409i | − | 1.43327i | ||||||
\(392\) | 31.8757 | + | 326.873i | 0.0813157 | + | 0.833861i | ||||
\(393\) | −221.217 | − | 383.158i | −0.562892 | − | 0.974958i | ||||
\(394\) | −75.2419 | + | 46.7549i | −0.190969 | + | 0.118667i | ||||
\(395\) | 638.431 | − | 368.598i | 1.61628 | − | 0.933160i | ||||
\(396\) | 11.9196 | + | 183.668i | 0.0300999 | + | 0.463808i | ||||
\(397\) | −85.6583 | + | 148.365i | −0.215764 | + | 0.373714i | −0.953509 | − | 0.301366i | \(-0.902558\pi\) |
0.737745 | + | 0.675080i | \(0.235891\pi\) | |||||||
\(398\) | −216.169 | + | 404.111i | −0.543138 | + | 1.01535i | ||||
\(399\) | 192.620 | + | 4.99998i | 0.482757 | + | 0.0125313i | ||||
\(400\) | −350.467 | + | 843.031i | −0.876166 | + | 2.10758i | ||||
\(401\) | 133.478 | − | 231.191i | 0.332864 | − | 0.576537i | −0.650208 | − | 0.759756i | \(-0.725318\pi\) |
0.983072 | + | 0.183219i | \(0.0586517\pi\) | |||||||
\(402\) | 775.629 | − | 481.971i | 1.92943 | − | 1.19893i | ||||
\(403\) | −91.4849 | + | 52.8188i | −0.227010 | + | 0.131064i | ||||
\(404\) | −121.739 | + | 7.90051i | −0.301333 | + | 0.0195557i | ||||
\(405\) | −457.187 | − | 791.871i | −1.12886 | − | 1.95524i | ||||
\(406\) | −84.6167 | + | 158.184i | −0.208416 | + | 0.389617i | ||||
\(407\) | 225.755i | 0.554681i | ||||||||
\(408\) | −321.311 | − | 449.304i | −0.787527 | − | 1.10124i | ||||
\(409\) | 62.1792 | + | 107.697i | 0.152027 | + | 0.263319i | 0.931973 | − | 0.362529i | \(-0.118087\pi\) |
−0.779945 | + | 0.625848i | \(0.784753\pi\) | |||||||
\(410\) | 91.7502 | + | 49.0795i | 0.223781 | + | 0.119706i | ||||
\(411\) | 293.923i | 0.715141i | ||||||||
\(412\) | −201.189 | − | 99.3765i | −0.488323 | − | 0.241205i | ||||
\(413\) | 14.8673 | − | 25.7510i | 0.0359984 | − | 0.0623510i | ||||
\(414\) | 230.051 | − | 7.45700i | 0.555678 | − | 0.0180121i | ||||
\(415\) | −1089.60 | − | 629.079i | −2.62553 | − | 1.51585i | ||||
\(416\) | −22.7670 | − | 139.291i | −0.0547284 | − | 0.334835i | ||||
\(417\) | 68.9990 | 0.165465 | ||||||||
\(418\) | 219.324 | − | 385.603i | 0.524697 | − | 0.922496i | ||||
\(419\) | 248.914i | 0.594068i | 0.954867 | + | 0.297034i | \(0.0959974\pi\) | ||||
−0.954867 | + | 0.297034i | \(0.904003\pi\) | |||||||
\(420\) | −366.700 | + | 23.7978i | −0.873094 | + | 0.0566615i | ||||
\(421\) | −162.941 | + | 282.223i | −0.387034 | + | 0.670362i | −0.992049 | − | 0.125852i | \(-0.959834\pi\) |
0.605015 | + | 0.796214i | \(0.293167\pi\) | |||||||
\(422\) | −285.323 | + | 9.24864i | −0.676121 | + | 0.0219162i | ||||
\(423\) | −143.570 | − | 82.8901i | −0.339409 | − | 0.195958i | ||||
\(424\) | −212.008 | + | 151.613i | −0.500018 | + | 0.357578i | ||||
\(425\) | 1095.19 | 2.57692 | ||||||||
\(426\) | 28.5242 | + | 15.2583i | 0.0669582 | + | 0.0358176i | ||||
\(427\) | −261.338 | + | 150.883i | −0.612032 | + | 0.353357i | ||||
\(428\) | −31.8319 | − | 15.7232i | −0.0743736 | − | 0.0367365i | ||||
\(429\) | 185.231 | 0.431773 | ||||||||
\(430\) | 122.847 | − | 229.653i | 0.285691 | − | 0.534077i | ||||
\(431\) | −401.407 | + | 231.752i | −0.931338 | + | 0.537708i | −0.887235 | − | 0.461319i | \(-0.847377\pi\) |
−0.0441038 | + | 0.999027i | \(0.514043\pi\) | |||||||
\(432\) | −231.221 | + | 176.950i | −0.535233 | + | 0.409606i | ||||
\(433\) | 138.967 | + | 240.698i | 0.320940 | + | 0.555884i | 0.980682 | − | 0.195608i | \(-0.0626679\pi\) |
−0.659742 | + | 0.751492i | \(0.729335\pi\) | |||||||
\(434\) | 114.696 | − | 71.2715i | 0.264277 | − | 0.164220i | ||||
\(435\) | 897.985 | + | 518.452i | 2.06433 | + | 1.19184i | ||||
\(436\) | 10.1914 | + | 15.2738i | 0.0233748 | + | 0.0350316i | ||||
\(437\) | −473.082 | − | 289.757i | −1.08257 | − | 0.663059i | ||||
\(438\) | 85.2785 | − | 159.421i | 0.194700 | − | 0.363976i | ||||
\(439\) | 675.968 | + | 390.271i | 1.53979 | + | 0.888999i | 0.998850 | + | 0.0479384i | \(0.0152651\pi\) |
0.540941 | + | 0.841061i | \(0.318068\pi\) | |||||||
\(440\) | −349.901 | + | 770.270i | −0.795230 | + | 1.75061i | ||||
\(441\) | 80.9058 | + | 140.133i | 0.183460 | + | 0.317762i | ||||
\(442\) | −143.806 | + | 89.3599i | −0.325352 | + | 0.202172i | ||||
\(443\) | −563.843 | + | 325.535i | −1.27278 | + | 0.734842i | −0.975511 | − | 0.219950i | \(-0.929411\pi\) |
−0.297273 | + | 0.954792i | \(0.596077\pi\) | |||||||
\(444\) | 231.474 | − | 154.451i | 0.521338 | − | 0.347862i | ||||
\(445\) | −437.940 | −0.984135 | ||||||||
\(446\) | −184.031 | + | 5.96529i | −0.412626 | + | 0.0133751i | ||||
\(447\) | 205.857 | − | 118.851i | 0.460529 | − | 0.265887i | ||||
\(448\) | 34.8563 | + | 177.020i | 0.0778043 | + | 0.395133i | ||||
\(449\) | 170.370 | 0.379444 | 0.189722 | − | 0.981838i | \(-0.439241\pi\) | ||||
0.189722 | + | 0.981838i | \(0.439241\pi\) | |||||||
\(450\) | 14.5730 | + | 449.580i | 0.0323843 | + | 0.999067i | ||||
\(451\) | 58.0637 | + | 33.5231i | 0.128744 | + | 0.0743306i | ||||
\(452\) | 309.592 | − | 626.773i | 0.684937 | − | 1.38667i | ||||
\(453\) | 22.7213 | − | 39.3544i | 0.0501574 | − | 0.0868751i | ||||
\(454\) | −38.7773 | − | 62.4037i | −0.0854125 | − | 0.137453i | ||||
\(455\) | 112.634i | 0.247547i | ||||||||
\(456\) | −545.422 | + | 38.9315i | −1.19610 | + | 0.0853761i | ||||
\(457\) | 131.115 | 0.286903 | 0.143451 | − | 0.989657i | \(-0.454180\pi\) | ||||
0.143451 | + | 0.989657i | \(0.454180\pi\) | |||||||
\(458\) | −77.0602 | + | 47.8847i | −0.168254 | + | 0.104552i | ||||
\(459\) | 302.476 | + | 174.635i | 0.658990 | + | 0.380468i | ||||
\(460\) | 948.589 | + | 468.551i | 2.06215 | + | 1.01859i | ||||
\(461\) | 41.3870 | − | 71.6845i | 0.0897767 | − | 0.155498i | −0.817640 | − | 0.575730i | \(-0.804718\pi\) |
0.907417 | + | 0.420232i | \(0.138051\pi\) | |||||||
\(462\) | −236.656 | + | 7.67110i | −0.512242 | + | 0.0166041i | ||||
\(463\) | − | 211.533i | − | 0.456874i | −0.973559 | − | 0.228437i | \(-0.926639\pi\) | ||
0.973559 | − | 0.228437i | \(-0.0733615\pi\) | |||||||
\(464\) | 195.426 | − | 470.089i | 0.421178 | − | 1.01312i | ||||
\(465\) | −390.257 | − | 675.946i | −0.839263 | − | 1.45365i | ||||
\(466\) | −12.5554 | − | 387.338i | −0.0269429 | − | 0.831197i | ||||
\(467\) | 522.505i | 1.11885i | 0.828879 | + | 0.559427i | \(0.188979\pi\) | ||||
−0.828879 | + | 0.559427i | \(0.811021\pi\) | |||||||
\(468\) | −38.5962 | − | 57.8438i | −0.0824705 | − | 0.123598i | ||||
\(469\) | 178.898 | + | 309.860i | 0.381445 | + | 0.660682i | ||||
\(470\) | −402.190 | − | 647.239i | −0.855724 | − | 1.37710i | ||||
\(471\) | 140.302 | − | 81.0033i | 0.297881 | − | 0.171982i | ||||
\(472\) | −34.8993 | + | 76.8271i | −0.0739393 | + | 0.162769i | ||||
\(473\) | 83.9092 | − | 145.335i | 0.177398 | − | 0.307262i | ||||
\(474\) | −516.289 | − | 276.176i | −1.08922 | − | 0.582649i | ||||
\(475\) | 566.262 | − | 924.528i | 1.19213 | − | 1.94638i | ||||
\(476\) | 180.029 | − | 120.124i | 0.378213 | − | 0.252362i | ||||
\(477\) | −64.2078 | + | 111.211i | −0.134607 | + | 0.233147i | ||||
\(478\) | −181.958 | − | 292.823i | −0.380666 | − | 0.612600i | ||||
\(479\) | 428.067 | − | 247.144i | 0.893668 | − | 0.515959i | 0.0185273 | − | 0.999828i | \(-0.494102\pi\) |
0.875140 | + | 0.483869i | \(0.160769\pi\) | |||||||
\(480\) | 1029.17 | − | 168.216i | 2.14410 | − | 0.350451i | ||||
\(481\) | −42.6467 | − | 73.8663i | −0.0886626 | − | 0.153568i | ||||
\(482\) | −481.362 | − | 257.493i | −0.998677 | − | 0.534217i | ||||
\(483\) | 296.108i | 0.613061i | ||||||||
\(484\) | −27.0732 | + | 54.8102i | −0.0559364 | + | 0.113244i | ||||
\(485\) | 242.379 | + | 419.813i | 0.499751 | + | 0.865594i | ||||
\(486\) | −188.050 | + | 351.545i | −0.386934 | + | 0.723344i | ||||
\(487\) | − | 872.042i | − | 1.79064i | −0.445422 | − | 0.895321i | \(-0.646946\pi\) | ||
0.445422 | − | 0.895321i | \(-0.353054\pi\) | |||||||
\(488\) | 696.576 | − | 498.143i | 1.42741 | − | 1.02078i | ||||
\(489\) | −145.273 | + | 251.619i | −0.297081 | + | 0.514559i | ||||
\(490\) | 24.0966 | + | 743.388i | 0.0491768 | + | 1.51712i | ||||
\(491\) | −31.5500 | − | 18.2154i | −0.0642565 | − | 0.0370985i | 0.467528 | − | 0.883979i | \(-0.345145\pi\) |
−0.531784 | + | 0.846880i | \(0.678478\pi\) | |||||||
\(492\) | −5.35205 | − | 82.4695i | −0.0108782 | − | 0.167621i | ||||
\(493\) | −610.697 | −1.23874 | ||||||||
\(494\) | 1.08126 | + | 167.600i | 0.00218878 | + | 0.339271i | ||||
\(495\) | 416.826i | 0.842072i | ||||||||
\(496\) | −304.323 | + | 232.894i | −0.613554 | + | 0.469544i | ||||
\(497\) | −6.33734 | + | 10.9766i | −0.0127512 | + | 0.0220857i | ||||
\(498\) | 32.3744 | + | 998.760i | 0.0650088 | + | 2.00554i | ||||
\(499\) | −61.2620 | − | 35.3696i | −0.122769 | − | 0.0708810i | 0.437358 | − | 0.899288i | \(-0.355914\pi\) |
−0.560127 | + | 0.828407i | \(0.689248\pi\) | |||||||
\(500\) | −514.493 | + | 1041.60i | −1.02899 | + | 2.08320i | ||||
\(501\) | −681.789 | −1.36086 | ||||||||
\(502\) | −224.737 | + | 420.128i | −0.447683 | + | 0.836908i | ||||
\(503\) | −236.493 | + | 136.539i | −0.470166 | + | 0.271450i | −0.716309 | − | 0.697783i | \(-0.754170\pi\) |
0.246143 | + | 0.969233i | \(0.420837\pi\) | |||||||
\(504\) | 51.7071 | + | 72.3045i | 0.102593 | + | 0.143461i | ||||
\(505\) | −276.280 | −0.547089 | ||||||||
\(506\) | 601.122 | + | 321.555i | 1.18799 | + | 0.635484i | ||||
\(507\) | 465.907 | − | 268.992i | 0.918950 | − | 0.530556i | ||||
\(508\) | −43.6033 | − | 671.881i | −0.0858333 | − | 1.32260i | ||||
\(509\) | 240.778 | + | 417.040i | 0.473041 | + | 0.819331i | 0.999524 | − | 0.0308545i | \(-0.00982285\pi\) |
−0.526483 | + | 0.850186i | \(0.676490\pi\) | |||||||
\(510\) | −660.245 | − | 1062.52i | −1.29460 | − | 2.08338i | ||||
\(511\) | 61.3481 | + | 35.4193i | 0.120055 | + | 0.0693137i | ||||
\(512\) | −147.207 | − | 490.382i | −0.287513 | − | 0.957777i | ||||
\(513\) | 303.816 | − | 165.048i | 0.592233 | − | 0.321731i | ||||
\(514\) | 247.571 | + | 132.432i | 0.481655 | + | 0.257649i | ||||
\(515\) | −440.100 | − | 254.092i | −0.854563 | − | 0.493382i | ||||
\(516\) | −206.423 | + | 13.3963i | −0.400045 | + | 0.0259619i | ||||
\(517\) | −245.504 | − | 425.225i | −0.474863 | − | 0.822486i | ||||
\(518\) | 57.5457 | + | 92.6075i | 0.111092 | + | 0.178779i | ||||
\(519\) | −413.823 | + | 238.921i | −0.797347 | + | 0.460348i | ||||
\(520\) | −31.0230 | − | 318.128i | −0.0596595 | − | 0.611785i | ||||
\(521\) | 136.712 | 0.262403 | 0.131202 | − | 0.991356i | \(-0.458116\pi\) | ||||
0.131202 | + | 0.991356i | \(0.458116\pi\) | |||||||
\(522\) | −8.12614 | − | 250.694i | −0.0155673 | − | 0.480257i | ||||
\(523\) | 22.0583 | − | 12.7354i | 0.0421764 | − | 0.0243506i | −0.478764 | − | 0.877944i | \(-0.658915\pi\) |
0.520940 | + | 0.853593i | \(0.325582\pi\) | |||||||
\(524\) | −409.211 | + | 273.046i | −0.780938 | + | 0.521080i | ||||
\(525\) | −578.675 | −1.10224 | ||||||||
\(526\) | −324.155 | + | 10.5074i | −0.616265 | + | 0.0199760i | ||||
\(527\) | 398.106 | + | 229.847i | 0.755420 | + | 0.436142i | ||||
\(528\) | 666.309 | − | 86.8491i | 1.26195 | − | 0.164487i | ||||
\(529\) | 161.768 | − | 280.191i | 0.305800 | − | 0.529661i | ||||
\(530\) | −501.360 | + | 311.542i | −0.945961 | + | 0.587815i | ||||
\(531\) | 41.5744i | 0.0782946i | ||||||||
\(532\) | −8.32239 | − | 214.085i | −0.0156436 | − | 0.402416i | ||||
\(533\) | −25.3310 | −0.0475253 | ||||||||
\(534\) | 183.584 | + | 295.438i | 0.343789 | + | 0.553255i | ||||
\(535\) | −69.6321 | − | 40.2021i | −0.130153 | − | 0.0751441i | ||||
\(536\) | −590.632 | − | 825.909i | −1.10193 | − | 1.54087i | ||||
\(537\) | −128.083 | + | 221.846i | −0.238515 | + | 0.413121i | ||||
\(538\) | 15.1883 | + | 468.562i | 0.0282309 | + | 0.870933i | ||||
\(539\) | 479.254i | 0.889154i | ||||||||
\(540\) | −548.496 | + | 365.983i | −1.01573 | + | 0.677747i | ||||
\(541\) | 311.445 | + | 539.439i | 0.575685 | + | 0.997115i | 0.995967 | + | 0.0897216i | \(0.0285977\pi\) |
−0.420282 | + | 0.907393i | \(0.638069\pi\) | |||||||
\(542\) | 248.735 | − | 8.06263i | 0.458920 | − | 0.0148757i | ||||
\(543\) | − | 534.949i | − | 0.985172i | ||||||
\(544\) | −475.397 | + | 388.870i | −0.873892 | + | 0.714835i | ||||
\(545\) | 20.7918 | + | 36.0125i | 0.0381501 | + | 0.0660779i | ||||
\(546\) | 75.9838 | − | 47.2159i | 0.139165 | − | 0.0864760i | ||||
\(547\) | 765.593 | − | 442.015i | 1.39962 | − | 0.808072i | 0.405269 | − | 0.914197i | \(-0.367178\pi\) |
0.994353 | + | 0.106125i | \(0.0338445\pi\) | |||||||
\(548\) | 326.128 | − | 21.1649i | 0.595124 | − | 0.0386220i | ||||
\(549\) | 210.962 | − | 365.398i | 0.384267 | − | 0.665569i | ||||
\(550\) | −628.404 | + | 1174.75i | −1.14255 | + | 2.13591i | ||||
\(551\) | −315.758 | + | 515.534i | −0.573063 | + | 0.935633i | ||||
\(552\) | −81.5577 | − | 836.342i | −0.147749 | − | 1.51511i | ||||
\(553\) | 114.706 | − | 198.677i | 0.207425 | − | 0.359271i | ||||
\(554\) | −409.120 | + | 254.225i | −0.738484 | + | 0.458890i | ||||
\(555\) | 545.769 | − | 315.100i | 0.983368 | − | 0.567748i | ||||
\(556\) | −4.96849 | − | 76.5592i | −0.00893613 | − | 0.137696i | ||||
\(557\) | 309.026 | + | 535.249i | 0.554805 | + | 0.960950i | 0.997919 | + | 0.0644847i | \(0.0205404\pi\) |
−0.443114 | + | 0.896465i | \(0.646126\pi\) | |||||||
\(558\) | −89.0559 | + | 166.483i | −0.159598 | + | 0.298357i | ||||
\(559\) | 63.4041i | 0.113424i | ||||||||
\(560\) | 52.8107 | + | 405.165i | 0.0943048 | + | 0.723509i | ||||
\(561\) | −403.025 | − | 698.061i | −0.718405 | − | 1.24431i | ||||
\(562\) | −549.449 | − | 293.914i | −0.977667 | − | 0.522979i | ||||
\(563\) | − | 169.277i | − | 0.300670i | −0.988635 | − | 0.150335i | \(-0.951965\pi\) | ||
0.988635 | − | 0.150335i | \(-0.0480352\pi\) | |||||||
\(564\) | −268.036 | + | 542.642i | −0.475241 | + | 0.962131i | ||||
\(565\) | 791.582 | − | 1371.06i | 1.40103 | − | 2.42666i | ||||
\(566\) | 791.510 | − | 25.6565i | 1.39843 | − | 0.0453294i | ||||
\(567\) | −246.426 | − | 142.274i | −0.434615 | − | 0.250925i | ||||
\(568\) | 14.8762 | − | 32.7483i | 0.0261904 | − | 0.0576555i | ||||
\(569\) | −403.875 | −0.709798 | −0.354899 | − | 0.934905i | \(-0.615485\pi\) | ||||
−0.354899 | + | 0.934905i | \(0.615485\pi\) | |||||||
\(570\) | −1238.33 | + | 7.98898i | −2.17251 | + | 0.0140158i | ||||
\(571\) | − | 175.870i | − | 0.308003i | −0.988071 | − | 0.154001i | \(-0.950784\pi\) | ||
0.988071 | − | 0.154001i | \(-0.0492160\pi\) | |||||||
\(572\) | −13.3381 | − | 205.526i | −0.0233184 | − | 0.359311i | ||||
\(573\) | 285.559 | − | 494.602i | 0.498357 | − | 0.863180i | ||||
\(574\) | 32.3636 | − | 1.04905i | 0.0563826 | − | 0.00182762i | ||||
\(575\) | 1442.87 | + | 833.042i | 2.50934 | + | 1.44877i | ||||
\(576\) | −165.959 | − | 189.978i | −0.288123 | − | 0.329823i | ||||
\(577\) | −386.929 | −0.670587 | −0.335293 | − | 0.942114i | \(-0.608835\pi\) | ||||
−0.335293 | + | 0.942114i | \(0.608835\pi\) | |||||||
\(578\) | 139.992 | + | 74.8853i | 0.242201 | + | 0.129559i | ||||
\(579\) | −959.929 | + | 554.216i | −1.65791 | + | 0.957194i | ||||
\(580\) | 510.596 | − | 1033.71i | 0.880338 | − | 1.78226i | ||||
\(581\) | −391.532 | −0.673894 | ||||||||
\(582\) | 181.605 | − | 339.496i | 0.312036 | − | 0.583327i | ||||
\(583\) | −329.385 | + | 190.171i | −0.564983 | + | 0.326193i | ||||
\(584\) | −183.030 | − | 83.1428i | −0.313407 | − | 0.142368i | ||||
\(585\) | −78.7413 | − | 136.384i | −0.134601 | − | 0.233135i | ||||
\(586\) | 773.465 | − | 480.627i | 1.31991 | − | 0.820182i | ||||
\(587\) | −643.631 | − | 371.601i | −1.09648 | − | 0.633050i | −0.161182 | − | 0.986925i | \(-0.551531\pi\) |
−0.935293 | + | 0.353874i | \(0.884864\pi\) | |||||||
\(588\) | 491.395 | − | 327.883i | 0.835706 | − | 0.557623i | ||||
\(589\) | 399.869 | − | 217.229i | 0.678895 | − | 0.368810i | ||||
\(590\) | −90.1380 | + | 168.506i | −0.152776 | + | 0.285603i | ||||
\(591\) | 137.992 | + | 79.6700i | 0.233490 | + | 0.134805i | ||||
\(592\) | −188.042 | − | 245.715i | −0.317638 | − | 0.415059i | ||||
\(593\) | 485.862 | + | 841.537i | 0.819328 | + | 1.41912i | 0.906178 | + | 0.422897i | \(0.138987\pi\) |
−0.0868496 | + | 0.996221i | \(0.527680\pi\) | |||||||
\(594\) | −360.878 | + | 224.248i | −0.607539 | + | 0.377521i | ||||
\(595\) | 424.473 | − | 245.069i | 0.713399 | − | 0.411881i | ||||
\(596\) | −146.697 | − | 219.854i | −0.246136 | − | 0.368882i | ||||
\(597\) | 824.344 | 1.38081 | ||||||||
\(598\) | −257.429 | + | 8.34445i | −0.430483 | + | 0.0139539i | ||||
\(599\) | 256.016 | − | 147.811i | 0.427405 | − | 0.246762i | −0.270836 | − | 0.962626i | \(-0.587300\pi\) |
0.698241 | + | 0.715863i | \(0.253967\pi\) | |||||||
\(600\) | 1634.44 | − | 159.385i | 2.72406 | − | 0.265642i | ||||
\(601\) | 790.283 | 1.31495 | 0.657474 | − | 0.753477i | \(-0.271625\pi\) | ||||
0.657474 | + | 0.753477i | \(0.271625\pi\) | |||||||
\(602\) | −2.62580 | − | 81.0069i | −0.00436180 | − | 0.134563i | ||||
\(603\) | −433.240 | − | 250.132i | −0.718475 | − | 0.414812i | ||||
\(604\) | −45.3026 | − | 22.3770i | −0.0750043 | − | 0.0370480i | ||||
\(605\) | −69.2225 | + | 119.897i | −0.114417 | + | 0.198177i | ||||
\(606\) | 115.816 | + | 186.381i | 0.191116 | + | 0.307559i | ||||
\(607\) | 370.431i | 0.610265i | 0.952310 | + | 0.305133i | \(0.0987008\pi\) | ||||
−0.952310 | + | 0.305133i | \(0.901299\pi\) | |||||||
\(608\) | 82.4721 | + | 602.381i | 0.135645 | + | 0.990758i | ||||
\(609\) | 322.679 | 0.529851 | ||||||||
\(610\) | 1647.28 | − | 1023.61i | 2.70045 | − | 1.67805i | ||||
\(611\) | 160.656 | + | 92.7549i | 0.262940 | + | 0.151808i | ||||
\(612\) | −134.013 | + | 271.311i | −0.218975 | + | 0.443318i | ||||
\(613\) | −180.132 | + | 311.998i | −0.293854 | + | 0.508969i | −0.974718 | − | 0.223441i | \(-0.928271\pi\) |
0.680864 | + | 0.732410i | \(0.261604\pi\) | |||||||
\(614\) | −707.451 | + | 22.9317i | −1.15220 | + | 0.0373481i | ||||
\(615\) | − | 187.161i | − | 0.304326i | ||||||
\(616\) | 25.5528 | + | 262.034i | 0.0414818 | + | 0.425379i | ||||
\(617\) | −11.3914 | − | 19.7305i | −0.0184626 | − | 0.0319782i | 0.856646 | − | 0.515904i | \(-0.172544\pi\) |
−0.875109 | + | 0.483926i | \(0.839211\pi\) | |||||||
\(618\) | 13.0764 | + | 403.410i | 0.0211592 | + | 0.652767i | ||||
\(619\) | 362.401i | 0.585462i | 0.956195 | + | 0.292731i | \(0.0945641\pi\) | ||||
−0.956195 | + | 0.292731i | \(0.905436\pi\) | |||||||
\(620\) | −721.907 | + | 481.691i | −1.16437 | + | 0.776922i | ||||
\(621\) | 265.667 | + | 460.150i | 0.427806 | + | 0.740982i | ||||
\(622\) | 536.961 | + | 864.123i | 0.863281 | + | 1.38927i | ||||
\(623\) | −118.026 | + | 68.1424i | −0.189448 | + | 0.109378i | ||||
\(624\) | −201.607 | + | 154.287i | −0.323089 | + | 0.247255i | ||||
\(625\) | −602.221 | + | 1043.08i | −0.963554 | + | 1.66892i | ||||
\(626\) | 802.531 | + | 429.293i | 1.28200 | + | 0.685772i | ||||
\(627\) | −797.666 | − | 20.7056i | −1.27219 | − | 0.0330233i | ||||
\(628\) | −99.9817 | − | 149.842i | −0.159207 | − | 0.238602i | ||||
\(629\) | −185.582 | + | 321.437i | −0.295043 | + | 0.511029i | ||||
\(630\) | 106.250 | + | 170.987i | 0.168651 | + | 0.271408i | ||||
\(631\) | −667.833 | + | 385.574i | −1.05837 | + | 0.611052i | −0.924982 | − | 0.380011i | \(-0.875920\pi\) |
−0.133391 | + | 0.991063i | \(0.542587\pi\) | |||||||
\(632\) | −269.259 | + | 592.745i | −0.426043 | + | 0.937888i | ||||
\(633\) | 256.743 | + | 444.691i | 0.405597 | + | 0.702514i | ||||
\(634\) | 1055.39 | + | 564.554i | 1.66465 | + | 0.890464i | ||||
\(635\) | − | 1524.80i | − | 2.40126i | ||||||
\(636\) | 420.338 | + | 207.624i | 0.660908 | + | 0.326453i | ||||
\(637\) | −90.5345 | − | 156.810i | −0.142126 | − | 0.246170i | ||||
\(638\) | 350.409 | − | 655.063i | 0.549231 | − | 1.02674i | ||||
\(639\) | − | 17.7215i | − | 0.0277332i | ||||||
\(640\) | −260.756 | − | 1129.82i | −0.407432 | − | 1.76535i | ||||
\(641\) | 22.1679 | − | 38.3960i | 0.0345834 | − | 0.0599001i | −0.848216 | − | 0.529651i | \(-0.822323\pi\) |
0.882799 | + | 0.469751i | \(0.155656\pi\) | |||||||
\(642\) | 2.06893 | + | 63.8270i | 0.00322263 | + | 0.0994191i | ||||
\(643\) | 1034.78 | + | 597.433i | 1.60931 | + | 0.929133i | 0.989525 | + | 0.144358i | \(0.0461118\pi\) |
0.619781 | + | 0.784775i | \(0.287222\pi\) | |||||||
\(644\) | 328.553 | − | 21.3222i | 0.510175 | − | 0.0331090i | ||||
\(645\) | −468.468 | −0.726307 | ||||||||
\(646\) | 629.265 | − | 368.739i | 0.974094 | − | 0.570804i | ||||
\(647\) | 143.888i | 0.222393i | 0.993798 | + | 0.111196i | \(0.0354683\pi\) | ||||
−0.993798 | + | 0.111196i | \(0.964532\pi\) | |||||||
\(648\) | 735.205 | + | 333.973i | 1.13458 | + | 0.515390i | ||||
\(649\) | −61.5676 | + | 106.638i | −0.0948653 | + | 0.164312i | ||||
\(650\) | −16.3073 | − | 503.085i | −0.0250881 | − | 0.773976i | ||||
\(651\) | −210.351 | − | 121.446i | −0.323120 | − | 0.186553i | ||||
\(652\) | 289.650 | + | 143.071i | 0.444249 | + | 0.219435i | ||||
\(653\) | −604.063 | −0.925058 | −0.462529 | − | 0.886604i | \(-0.653058\pi\) | ||||
−0.462529 | + | 0.886604i | \(0.653058\pi\) | |||||||
\(654\) | 15.5784 | − | 29.1227i | 0.0238203 | − | 0.0445301i | ||||
\(655\) | −964.837 | + | 557.049i | −1.47303 | + | 0.850457i | ||||
\(656\) | −91.1203 | + | 11.8769i | −0.138903 | + | 0.0181051i | ||||
\(657\) | −99.0453 | −0.150754 | ||||||||
\(658\) | −209.100 | − | 111.853i | −0.317781 | − | 0.169989i | ||||
\(659\) | −640.313 | + | 369.685i | −0.971643 | + | 0.560978i | −0.899737 | − | 0.436433i | \(-0.856242\pi\) |
−0.0719062 | + | 0.997411i | \(0.522908\pi\) | |||||||
\(660\) | 1518.55 | − | 98.5500i | 2.30084 | − | 0.149318i | ||||
\(661\) | −364.477 | − | 631.293i | −0.551403 | − | 0.955058i | −0.998174 | − | 0.0604096i | \(-0.980759\pi\) |
0.446771 | − | 0.894649i | \(-0.352574\pi\) | |||||||
\(662\) | 297.918 | + | 479.436i | 0.450028 | + | 0.724223i | ||||
\(663\) | 263.737 | + | 152.269i | 0.397794 | + | 0.229666i | ||||
\(664\) | 1105.86 | − | 107.840i | 1.66545 | − | 0.162410i | ||||
\(665\) | 12.5905 | − | 485.040i | 0.0189331 | − | 0.729383i | ||||
\(666\) | −134.421 | − | 71.9051i | −0.201833 | − | 0.107966i | ||||
\(667\) | −804.570 | − | 464.519i | −1.20625 | − | 0.696430i | ||||
\(668\) | 49.0944 | + | 756.492i | 0.0734945 | + | 1.13247i | ||||
\(669\) | 165.597 | + | 286.822i | 0.247529 | + | 0.428733i | ||||
\(670\) | −1213.66 | − | 1953.13i | −1.81143 | − | 2.91511i | ||||
\(671\) | 1082.24 | − | 624.829i | 1.61287 | − | 0.931190i | ||||
\(672\) | 251.190 | − | 205.471i | 0.373794 | − | 0.305760i | ||||
\(673\) | −630.954 | −0.937525 | −0.468762 | − | 0.883324i | \(-0.655300\pi\) | ||||
−0.468762 | + | 0.883324i | \(0.655300\pi\) | |||||||
\(674\) | −5.09435 | − | 157.162i | −0.00755839 | − | 0.233179i | ||||
\(675\) | −899.255 | + | 519.185i | −1.33223 | + | 0.769163i | ||||
\(676\) | −332.014 | − | 497.587i | −0.491145 | − | 0.736076i | ||||
\(677\) | −1243.47 | −1.83673 | −0.918365 | − | 0.395734i | \(-0.870490\pi\) | ||||
−0.918365 | + | 0.395734i | \(0.870490\pi\) | |||||||
\(678\) | −1256.76 | + | 40.7373i | −1.85363 | + | 0.0600845i | ||||
\(679\) | 130.644 | + | 75.4273i | 0.192406 | + | 0.111086i | ||||
\(680\) | −1131.40 | + | 809.098i | −1.66382 | + | 1.18985i | ||||
\(681\) | −66.0762 | + | 114.447i | −0.0970282 | + | 0.168058i | ||||
\(682\) | −474.972 | + | 295.145i | −0.696441 | + | 0.432764i | ||||
\(683\) | − | 903.750i | − | 1.32321i | −0.749854 | − | 0.661604i | \(-0.769876\pi\) | ||
0.749854 | − | 0.661604i | \(-0.230124\pi\) | |||||||
\(684\) | 159.742 | + | 253.410i | 0.233541 | + | 0.370482i | ||||
\(685\) | 740.133 | 1.08049 | ||||||||
\(686\) | 267.975 | + | 431.249i | 0.390634 | + | 0.628642i | ||||
\(687\) | 141.327 | + | 81.5952i | 0.205716 | + | 0.118770i | ||||
\(688\) | 29.7283 | + | 228.076i | 0.0432098 | + | 0.331506i | ||||
\(689\) | 71.8491 | − | 124.446i | 0.104280 | − | 0.180619i | ||||
\(690\) | −61.6539 | − | 1902.04i | −0.0893535 | − | 2.75658i | ||||
\(691\) | − | 132.044i | − | 0.191091i | −0.995425 | − | 0.0955454i | \(-0.969540\pi\) | ||
0.995425 | − | 0.0955454i | \(-0.0304595\pi\) | |||||||
\(692\) | 294.898 | + | 441.961i | 0.426153 | + | 0.638672i | ||||
\(693\) | 64.8571 | + | 112.336i | 0.0935888 | + | 0.162101i | ||||
\(694\) | 359.166 | − | 11.6422i | 0.517530 | − | 0.0167755i | ||||
\(695\) | − | 173.748i | − | 0.249997i | ||||||
\(696\) | −911.390 | + | 88.8761i | −1.30947 | + | 0.127696i | ||||
\(697\) | 55.1153 | + | 95.4625i | 0.0790750 | + | 0.136962i | ||||
\(698\) | 158.534 | − | 98.5123i | 0.227127 | − | 0.141135i | ||||
\(699\) | −603.687 | + | 348.539i | −0.863643 | + | 0.498625i | ||||
\(700\) | 41.6693 | + | 642.080i | 0.0595276 | + | 0.917257i | ||||
\(701\) | 516.865 | − | 895.236i | 0.737325 | − | 1.27708i | −0.216371 | − | 0.976311i | \(-0.569422\pi\) |
0.953696 | − | 0.300773i | \(-0.0972445\pi\) | |||||||
\(702\) | 75.7162 | − | 141.545i | 0.107858 | − | 0.201632i | ||||
\(703\) | 175.394 | + | 322.861i | 0.249494 | + | 0.459261i | ||||
\(704\) | −144.345 | − | 733.062i | −0.205035 | − | 1.04128i | ||||
\(705\) | −685.329 | + | 1187.03i | −0.972098 | + | 1.68372i | ||||
\(706\) | −806.156 | + | 500.941i | −1.14186 | + | 0.709548i | ||||
\(707\) | −74.4583 | + | 42.9885i | −0.105316 | + | 0.0608041i | ||||
\(708\) | 151.461 | − | 9.82944i | 0.213928 | − | 0.0138834i | ||||
\(709\) | 553.592 | + | 958.849i | 0.780806 | + | 1.35240i | 0.931473 | + | 0.363811i | \(0.118525\pi\) |
−0.150667 | + | 0.988585i | \(0.548142\pi\) | |||||||
\(710\) | 38.4222 | − | 71.8273i | 0.0541157 | − | 0.101165i | ||||
\(711\) | 320.760i | 0.451139i | ||||||||
\(712\) | 314.590 | − | 224.973i | 0.441840 | − | 0.315973i | ||||
\(713\) | 349.660 | + | 605.629i | 0.490407 | + | 0.849410i | ||||
\(714\) | −343.264 | − | 183.620i | −0.480762 | − | 0.257171i | ||||
\(715\) | − | 466.432i | − | 0.652353i | ||||||
\(716\) | 255.376 | + | 126.142i | 0.356671 | + | 0.176176i | ||||
\(717\) | −310.056 | + | 537.032i | −0.432435 | + | 0.748999i | ||||
\(718\) | 945.324 | − | 30.6423i | 1.31661 | − | 0.0426773i | ||||
\(719\) | −758.635 | − | 437.998i | −1.05513 | − | 0.609177i | −0.131045 | − | 0.991376i | \(-0.541833\pi\) |
−0.924080 | + | 0.382200i | \(0.875167\pi\) | |||||||
\(720\) | −347.193 | − | 453.679i | −0.482213 | − | 0.630109i | ||||
\(721\) | −158.144 | −0.219340 | ||||||||
\(722\) | 14.0785 | − | 721.863i | 0.0194993 | − | 0.999810i | ||||
\(723\) | 981.928i | 1.35813i | ||||||||
\(724\) | −593.563 | + | 38.5207i | −0.819838 | + | 0.0532053i | ||||
\(725\) | 907.794 | − | 1572.34i | 1.25213 | − | 2.16875i | ||||
\(726\) | 109.901 | − | 3.56241i | 0.151379 | − | 0.00490690i | ||||
\(727\) | 632.345 | + | 365.085i | 0.869801 | + | 0.502180i | 0.867282 | − | 0.497817i | \(-0.165865\pi\) |
0.00251881 | + | 0.999997i | \(0.499198\pi\) | |||||||
\(728\) | −57.8608 | − | 80.9094i | −0.0794791 | − | 0.111139i | ||||
\(729\) | −191.328 | −0.262453 | ||||||||
\(730\) | −401.442 | − | 214.741i | −0.549920 | − | 0.294166i | ||||
\(731\) | 238.945 | − | 137.955i | 0.326874 | − | 0.188721i | ||||
\(732\) | −1381.07 | − | 682.174i | −1.88671 | − | 0.931931i | ||||
\(733\) | 690.943 | 0.942624 | 0.471312 | − | 0.881967i | \(-0.343781\pi\) | ||||
0.471312 | + | 0.881967i | \(0.343781\pi\) | |||||||
\(734\) | −52.9233 | + | 98.9360i | −0.0721026 | + | 0.134790i | ||||
\(735\) | 1158.61 | − | 668.924i | 1.57634 | − | 0.910100i | ||||
\(736\) | −922.107 | + | 150.717i | −1.25286 | + | 0.204779i | ||||
\(737\) | −740.840 | − | 1283.17i | −1.00521 | − | 1.74107i | ||||
\(738\) | −38.4544 | + | 23.8953i | −0.0521062 | + | 0.0323785i | ||||
\(739\) | −514.152 | − | 296.846i | −0.695741 | − | 0.401686i | 0.110018 | − | 0.993930i | \(-0.464909\pi\) |
−0.805759 | + | 0.592243i | \(0.798242\pi\) | |||||||
\(740\) | −388.925 | − | 582.879i | −0.525574 | − | 0.787674i | ||||
\(741\) | 264.905 | − | 143.910i | 0.357497 | − | 0.194210i | ||||
\(742\) | −86.6427 | + | 161.972i | −0.116769 | + | 0.218291i | ||||
\(743\) | −48.6881 | − | 28.1101i | −0.0655291 | − | 0.0378332i | 0.466877 | − | 0.884322i | \(-0.345379\pi\) |
−0.532407 | + | 0.846489i | \(0.678712\pi\) | |||||||
\(744\) | 627.575 | + | 285.081i | 0.843515 | + | 0.383173i | ||||
\(745\) | −299.282 | − | 518.371i | −0.401720 | − | 0.695800i | ||||
\(746\) | 835.180 | − | 518.976i | 1.11954 | − | 0.695678i | ||||
\(747\) | 474.091 | − | 273.717i | 0.634660 | − | 0.366421i | ||||
\(748\) | −745.526 | + | 497.451i | −0.996692 | + | 0.665041i | ||||
\(749\) | −25.0214 | −0.0334064 | ||||||||
\(750\) | 2088.54 | − | 67.6990i | 2.78472 | − | 0.0902654i | ||||
\(751\) | −119.216 | + | 68.8295i | −0.158743 | + | 0.0916504i | −0.577267 | − | 0.816555i | \(-0.695881\pi\) |
0.418524 | + | 0.908206i | \(0.362548\pi\) | |||||||
\(752\) | 621.400 | + | 258.330i | 0.826330 | + | 0.343523i | ||||
\(753\) | 857.016 | 1.13814 | ||||||||
\(754\) | 9.09323 | + | 280.529i | 0.0120600 | + | 0.372054i | ||||
\(755\) | −99.0990 | − | 57.2149i | −0.131257 | − | 0.0757813i | ||||
\(756\) | −90.8752 | + | 183.978i | −0.120205 | + | 0.243357i | ||||
\(757\) | −452.623 | + | 783.966i | −0.597916 | + | 1.03562i | 0.395212 | + | 0.918590i | \(0.370671\pi\) |
−0.993128 | + | 0.117032i | \(0.962662\pi\) | |||||||
\(758\) | −423.513 | − | 681.554i | −0.558725 | − | 0.899148i | ||||
\(759\) | − | 1226.22i | − | 1.61558i | ||||||
\(760\) | 98.0341 | + | 1373.44i | 0.128992 | + | 1.80715i | ||||
\(761\) | −1082.43 | −1.42238 | −0.711190 | − | 0.703000i | \(-0.751844\pi\) | ||||
−0.711190 | + | 0.703000i | \(0.751844\pi\) | |||||||
\(762\) | −1028.65 | + | 639.194i | −1.34993 | + | 0.838838i | ||||
\(763\) | 11.2069 | + | 6.47031i | 0.0146879 | + | 0.00848009i | ||||
\(764\) | −569.358 | − | 281.232i | −0.745233 | − | 0.368104i | ||||
\(765\) | −342.651 | + | 593.490i | −0.447910 | + | 0.775803i | ||||
\(766\) | 172.982 | − | 5.60714i | 0.225825 | − | 0.00732003i | ||||
\(767\) | − | 46.5222i | − | 0.0606548i | ||||||
\(768\) | −652.879 | + | 649.527i | −0.850103 | + | 0.845738i | ||||
\(769\) | −508.059 | − | 879.984i | −0.660675 | − | 1.14432i | −0.980439 | − | 0.196825i | \(-0.936937\pi\) |
0.319764 | − | 0.947497i | \(-0.396396\pi\) | |||||||
\(770\) | 19.3167 | + | 595.927i | 0.0250867 | + | 0.773931i | ||||
\(771\) | − | 505.018i | − | 0.655017i | ||||||
\(772\) | 684.063 | + | 1025.20i | 0.886093 | + | 1.32798i | ||||
\(773\) | 497.920 | + | 862.423i | 0.644140 | + | 1.11568i | 0.984499 | + | 0.175388i | \(0.0561179\pi\) |
−0.340359 | + | 0.940295i | \(0.610549\pi\) | |||||||
\(774\) | 59.8106 | + | 96.2524i | 0.0772747 | + | 0.124357i | ||||
\(775\) | −1183.56 | + | 683.329i | −1.52718 | + | 0.881715i | ||||
\(776\) | −389.772 | − | 177.057i | −0.502283 | − | 0.228166i | ||||
\(777\) | 98.0576 | − | 169.841i | 0.126200 | − | 0.218585i | ||||
\(778\) | −1068.85 | − | 571.756i | −1.37385 | − | 0.734905i | ||||
\(779\) | 109.084 | + | 2.83157i | 0.140031 | + | 0.00363488i | ||||
\(780\) | −478.248 | + | 319.110i | −0.613139 | + | 0.409116i | ||||
\(781\) | 26.2438 | − | 45.4556i | 0.0336028 | − | 0.0582017i | ||||
\(782\) | 591.562 | + | 951.992i | 0.756473 | + | 1.21738i | ||||
\(783\) | 501.441 | − | 289.507i | 0.640409 | − | 0.369741i | ||||
\(784\) | −399.193 | − | 521.627i | −0.509175 | − | 0.665340i | ||||
\(785\) | −203.976 | − | 353.297i | −0.259842 | − | 0.450059i | ||||
\(786\) | 780.248 | + | 417.374i | 0.992682 | + | 0.531010i | ||||
\(787\) | 857.085i | 1.08905i | 0.838743 | + | 0.544527i | \(0.183291\pi\) | ||||
−0.838743 | + | 0.544527i | \(0.816709\pi\) | |||||||
\(788\) | 78.4628 | − | 158.849i | 0.0995721 | − | 0.201585i | ||||
\(789\) | 291.685 | + | 505.213i | 0.369689 | + | 0.640321i | ||||
\(790\) | −695.443 | + | 1300.08i | −0.880307 | + | 1.64566i | ||||
\(791\) | − | 492.673i | − | 0.622848i | ||||||
\(792\) | −214.126 | − | 299.422i | −0.270361 | − | 0.378059i | ||||
\(793\) | −236.069 | + | 408.884i | −0.297691 | + | 0.515616i | ||||
\(794\) | −11.1005 | − | 342.454i | −0.0139805 | − | 0.431302i | ||||
\(795\) | 919.485 | + | 530.865i | 1.15659 | + | 0.667755i | ||||
\(796\) | −59.3595 | − | 914.667i | −0.0745722 | − | 1.14908i | ||||
\(797\) | 501.545 | 0.629292 | 0.314646 | − | 0.949209i | \(-0.398114\pi\) | ||||
0.314646 | + | 0.949209i | \(0.398114\pi\) | |||||||
\(798\) | −332.490 | + | 194.834i | −0.416654 | + | 0.244153i | ||||
\(799\) | − | 807.266i | − | 1.01035i | ||||||
\(800\) | −294.542 | − | 1802.04i | −0.368177 | − | 2.25255i | ||||
\(801\) | 95.2754 | − | 165.022i | 0.118946 | − | 0.206020i | ||||
\(802\) | 17.2975 | + | 533.634i | 0.0215680 | + | 0.665379i | ||||
\(803\) | −254.051 | − | 146.676i | −0.316377 | − | 0.182660i | ||||
\(804\) | −808.832 | + | 1637.49i | −1.00601 | + | 2.03668i | ||||
\(805\) | 745.636 | 0.926256 | ||||||||
\(806\) | 99.6544 | − | 186.296i | 0.123641 | − | 0.231137i | ||||
\(807\) | 730.279 | − | 421.627i | 0.904931 | − | 0.522462i | ||||
\(808\) | 198.463 | − | 141.927i | 0.245623 | − | 0.175652i | ||||
\(809\) | −232.866 | −0.287844 | −0.143922 | − | 0.989589i | \(-0.545971\pi\) | ||||
−0.143922 | + | 0.989589i | \(0.545971\pi\) | |||||||
\(810\) | 1612.53 | + | 862.585i | 1.99078 | + | 1.06492i | ||||
\(811\) | −1251.49 | + | 722.548i | −1.54314 | + | 0.890934i | −0.544506 | + | 0.838757i | \(0.683283\pi\) |
−0.998638 | + | 0.0521771i | \(0.983384\pi\) | |||||||
\(812\) | −23.2355 | − | 358.035i | −0.0286152 | − | 0.440930i | ||||
\(813\) | −223.819 | − | 387.666i | −0.275300 | − | 0.476834i | ||||
\(814\) | −238.305 | − | 383.500i | −0.292758 | − | 0.471130i | ||||
\(815\) | 633.607 | + | 365.813i | 0.777432 | + | 0.448851i | ||||
\(816\) | 1020.11 | + | 424.080i | 1.25013 | + | 0.519706i | ||||
\(817\) | 7.08749 | − | 273.040i | 0.00867502 | − | 0.334198i | ||||
\(818\) | −219.311 | − | 117.315i | −0.268106 | − | 0.143417i | ||||
\(819\) | −42.4420 | − | 24.5039i | −0.0518218 | − | 0.0299193i | ||||
\(820\) | −207.668 | + | 13.4771i | −0.253253 | + | 0.0164355i | ||||
\(821\) | −440.690 | − | 763.297i | −0.536772 | − | 0.929716i | −0.999075 | − | 0.0429941i | \(-0.986310\pi\) |
0.462304 | − | 0.886722i | \(-0.347023\pi\) | |||||||
\(822\) | −310.262 | − | 499.300i | −0.377448 | − | 0.607421i | ||||
\(823\) | 712.755 | − | 411.509i | 0.866045 | − | 0.500011i | 1.29516e−5 | − | 1.00000i | \(-0.499996\pi\) |
0.866032 | + | 0.499989i | \(0.166663\pi\) | |||||||
\(824\) | 446.670 | − | 43.5579i | 0.542075 | − | 0.0528616i | ||||
\(825\) | 2396.37 | 2.90469 | ||||||||
\(826\) | 1.92666 | + | 59.4381i | 0.00233252 | + | 0.0719590i | ||||
\(827\) | −109.874 | + | 63.4355i | −0.132858 | + | 0.0767056i | −0.564956 | − | 0.825121i | \(-0.691107\pi\) |
0.432098 | + | 0.901827i | \(0.357773\pi\) | |||||||
\(828\) | −382.926 | + | 255.506i | −0.462470 | + | 0.308583i | ||||
\(829\) | 748.707 | 0.903144 | 0.451572 | − | 0.892235i | \(-0.350863\pi\) | ||||
0.451572 | + | 0.892235i | \(0.350863\pi\) | |||||||
\(830\) | 2514.99 | − | 81.5225i | 3.03011 | − | 0.0982198i | ||||
\(831\) | 750.320 | + | 433.197i | 0.902912 | + | 0.521296i | ||||
\(832\) | 185.710 | + | 212.588i | 0.223209 | + | 0.255514i | ||||
\(833\) | −393.971 | + | 682.377i | −0.472954 | + | 0.819180i | ||||
\(834\) | −117.212 | + | 72.8346i | −0.140542 | + | 0.0873317i | ||||
\(835\) | 1716.82i | 2.05608i | ||||||||
\(836\) | 34.4641 | + | 886.557i | 0.0412250 | + | 1.06047i | ||||
\(837\) | −435.845 | −0.520722 | ||||||||
\(838\) | −262.751 | − | 422.842i | −0.313546 | − | 0.504585i | ||||
\(839\) | 829.460 | + | 478.889i | 0.988629 | + | 0.570785i | 0.904864 | − | 0.425700i | \(-0.139972\pi\) |
0.0837647 | + | 0.996486i | \(0.473306\pi\) | |||||||
\(840\) | 597.808 | − | 427.511i | 0.711676 | − | 0.508941i | ||||
\(841\) | −85.7019 | + | 148.440i | −0.101905 | + | 0.176504i | ||||
\(842\) | −21.1156 | − | 651.423i | −0.0250779 | − | 0.773662i | ||||
\(843\) | 1120.82i | 1.32956i | ||||||||
\(844\) | 474.928 | − | 316.895i | 0.562711 | − | 0.375468i | ||||
\(845\) | −677.353 | − | 1173.21i | −0.801601 | − | 1.38841i | ||||
\(846\) | 331.386 | − | 10.7418i | 0.391710 | − | 0.0126971i | ||||
\(847\) | 43.0834i | 0.0508659i | ||||||||
\(848\) | 200.105 | − | 481.345i | 0.235973 | − | 0.567623i | ||||
\(849\) | −712.225 | − | 1233.61i | −0.838899 | − | 1.45301i | ||||
\(850\) | −1860.45 | + | 1156.07i | −2.18876 | + | 1.36008i | ||||
\(851\) | −488.994 | + | 282.321i | −0.574611 | + | 0.331752i | ||||
\(852\) | −64.5618 | + | 4.18989i | −0.0757768 | + | 0.00491771i | ||||
\(853\) | −184.599 | + | 319.736i | −0.216412 | + | 0.374837i | −0.953708 | − | 0.300733i | \(-0.902769\pi\) |
0.737296 | + | 0.675569i | \(0.236102\pi\) | |||||||
\(854\) | 284.675 | − | 532.178i | 0.333343 | − | 0.623159i | ||||
\(855\) | 323.841 | + | 596.118i | 0.378762 | + | 0.697214i | ||||
\(856\) | 70.6716 | − | 6.89168i | 0.0825602 | − | 0.00805103i | ||||
\(857\) | 226.320 | − | 391.998i | 0.264084 | − | 0.457407i | −0.703239 | − | 0.710953i | \(-0.748264\pi\) |
0.967323 | + | 0.253546i | \(0.0815971\pi\) | |||||||
\(858\) | −314.659 | + | 195.527i | −0.366736 | + | 0.227887i | ||||
\(859\) | 838.651 | − | 484.196i | 0.976311 | − | 0.563674i | 0.0751568 | − | 0.997172i | \(-0.476054\pi\) |
0.901154 | + | 0.433498i | \(0.142721\pi\) | |||||||
\(860\) | 33.7335 | + | 519.798i | 0.0392250 | + | 0.604416i | ||||
\(861\) | −29.1218 | − | 50.4404i | −0.0338232 | − | 0.0585835i | ||||
\(862\) | 437.252 | − | 817.409i | 0.507253 | − | 0.948270i | ||||
\(863\) | − | 531.348i | − | 0.615698i | −0.951435 | − | 0.307849i | \(-0.900391\pi\) | ||
0.951435 | − | 0.307849i | \(-0.0996092\pi\) | |||||||
\(864\) | 205.999 | − | 544.666i | 0.238424 | − | 0.630401i | ||||
\(865\) | 601.631 | + | 1042.05i | 0.695527 | + | 1.20469i | ||||
\(866\) | −490.147 | − | 262.192i | −0.565990 | − | 0.302762i | ||||
\(867\) | − | 285.569i | − | 0.329376i | ||||||
\(868\) | −119.606 | + | 242.144i | −0.137795 | + | 0.278968i | ||||
\(869\) | −475.013 | + | 822.747i | −0.546620 | + | 0.946774i | ||||
\(870\) | −2072.72 | + | 67.1863i | −2.38244 | + | 0.0772257i | ||||
\(871\) | 484.800 | + | 279.900i | 0.556602 | + | 0.321354i | ||||
\(872\) | −33.4354 | − | 15.1883i | −0.0383434 | − | 0.0174178i | ||||
\(873\) | −210.922 | −0.241606 | ||||||||
\(874\) | 1109.51 | − | 7.15791i | 1.26946 | − | 0.00818983i | ||||
\(875\) | 818.745i | 0.935709i | ||||||||
\(876\) | 23.4173 | + | 360.835i | 0.0267320 | + | 0.411912i | ||||
\(877\) | 430.925 | − | 746.383i | 0.491362 | − | 0.851064i | −0.508589 | − | 0.861010i | \(-0.669833\pi\) |
0.999951 | + | 0.00994571i | \(0.00316587\pi\) | |||||||
\(878\) | −1560.26 | + | 50.5753i | −1.77706 | + | 0.0576028i | ||||
\(879\) | −1418.52 | − | 818.985i | −1.61379 | − | 0.931723i | ||||
\(880\) | −218.696 | − | 1677.84i | −0.248518 | − | 1.90664i | ||||
\(881\) | 944.406 | 1.07197 | 0.535985 | − | 0.844227i | \(-0.319940\pi\) | ||||
0.535985 | + | 0.844227i | \(0.319940\pi\) | |||||||
\(882\) | −285.361 | − | 152.647i | −0.323539 | − | 0.173069i | ||||
\(883\) | 1456.09 | − | 840.674i | 1.64903 | − | 0.952065i | 0.671565 | − | 0.740946i | \(-0.265622\pi\) |
0.977460 | − | 0.211120i | \(-0.0677110\pi\) | |||||||
\(884\) | 149.961 | − | 303.599i | 0.169640 | − | 0.343438i | ||||
\(885\) | 343.734 | 0.388400 | ||||||||
\(886\) | 614.194 | − | 1148.19i | 0.693222 | − | 1.29592i | ||||
\(887\) | 663.364 | − | 382.993i | 0.747874 | − | 0.431785i | −0.0770515 | − | 0.997027i | \(-0.524551\pi\) |
0.824925 | + | 0.565242i | \(0.191217\pi\) | |||||||
\(888\) | −230.179 | + | 506.714i | −0.259210 | + | 0.570624i | ||||
\(889\) | −237.256 | − | 410.939i | −0.266879 | − | 0.462248i | ||||
\(890\) | 743.948 | − | 462.285i | 0.835897 | − | 0.519421i | ||||
\(891\) | 1020.49 | + | 589.177i | 1.14533 | + | 0.661254i | ||||
\(892\) | 306.325 | − | 204.395i | 0.343413 | − | 0.229142i | ||||
\(893\) | −681.472 | − | 417.393i | −0.763126 | − | 0.467405i | ||||
\(894\) | −224.239 | + | 419.198i | −0.250827 | + | 0.468902i | ||||
\(895\) | 558.633 | + | 322.527i | 0.624171 | + | 0.360366i | ||||
\(896\) | −246.072 | − | 263.917i | −0.274634 | − | 0.294550i | ||||
\(897\) | 231.643 | + | 401.217i | 0.258241 | + | 0.447287i | ||||
\(898\) | −289.415 | + | 179.841i | −0.322289 | + | 0.200268i | ||||
\(899\) | 659.975 | − | 381.037i | 0.734121 | − | 0.423845i | ||||
\(900\) | −499.328 | − | 748.339i | −0.554809 | − | 0.831487i | ||||
\(901\) | −625.319 | −0.694028 | ||||||||
\(902\) | −134.022 | + | 4.34427i | −0.148583 | + | 0.00481626i | ||||
\(903\) | −126.254 | + | 72.8925i | −0.139816 | + | 0.0807226i | ||||
\(904\) | 135.698 | + | 1391.53i | 0.150108 | + | 1.53930i | ||||
\(905\) | −1347.06 | −1.48847 | ||||||||
\(906\) | 2.94446 | + | 90.8374i | 0.00324995 | + | 0.100262i | ||||
\(907\) | 285.807 | + | 165.011i | 0.315113 | + | 0.181930i | 0.649212 | − | 0.760608i | \(-0.275099\pi\) |
−0.334099 | + | 0.942538i | \(0.608432\pi\) | |||||||
\(908\) | 131.745 | + | 65.0750i | 0.145094 | + | 0.0716685i | ||||
\(909\) | 60.1057 | − | 104.106i | 0.0661229 | − | 0.114528i | ||||
\(910\) | −118.895 | − | 191.336i | −0.130654 | − | 0.210260i | ||||
\(911\) | 1064.70i | 1.16871i | 0.811497 | + | 0.584357i | \(0.198653\pi\) | ||||
−0.811497 | + | 0.584357i | \(0.801347\pi\) | |||||||
\(912\) | 885.437 | − | 641.877i | 0.970874 | − | 0.703812i | ||||
\(913\) | 1621.39 | 1.77589 | ||||||||
\(914\) | −222.730 | + | 138.403i | −0.243687 | + | 0.151426i | ||||
\(915\) | −3021.08 | − | 1744.22i | −3.30173 | − | 1.90625i | ||||
\(916\) | 80.3589 | − | 162.688i | 0.0877280 | − | 0.177607i | ||||
\(917\) | −173.351 | + | 300.253i | −0.189041 | + | 0.327429i | ||||
\(918\) | −698.172 | + | 22.6310i | −0.760536 | + | 0.0246525i | ||||
\(919\) | 1052.48i | 1.14525i | 0.819818 | + | 0.572624i | \(0.194074\pi\) | ||||
−0.819818 | + | 0.572624i | \(0.805926\pi\) | |||||||
\(920\) | −2106.01 | + | 205.372i | −2.28914 | + | 0.223230i | ||||
\(921\) | 636.586 | + | 1102.60i | 0.691190 | + | 1.19718i | ||||
\(922\) | 5.36336 | + | 165.461i | 0.00581709 | + | 0.179459i | ||||
\(923\) | 19.8305i | 0.0214849i | ||||||||
\(924\) | 393.920 | − | 262.843i | 0.426320 | − | 0.284462i | ||||
\(925\) | −551.730 | − | 955.625i | −0.596465 | − | 1.03311i | ||||
\(926\) | 223.292 | + | 359.340i | 0.241136 | + | 0.388056i | ||||
\(927\) | 191.491 | − | 110.557i | 0.206570 | − | 0.119263i | ||||
\(928\) | 164.242 | + | 1004.85i | 0.176985 | + | 1.08281i | ||||
\(929\) | −795.538 | + | 1377.91i | −0.856338 | + | 1.48322i | 0.0190598 | + | 0.999818i | \(0.493933\pi\) |
−0.875398 | + | 0.483403i | \(0.839401\pi\) | |||||||
\(930\) | 1376.47 | + | 736.307i | 1.48007 | + | 0.791728i | ||||
\(931\) | 372.344 | + | 685.399i | 0.399939 | + | 0.736196i | ||||
\(932\) | 430.198 | + | 644.735i | 0.461586 | + | 0.691775i | ||||
\(933\) | 914.978 | − | 1584.79i | 0.980683 | − | 1.69859i | ||||
\(934\) | −551.551 | − | 887.602i | −0.590525 | − | 0.950324i | ||||
\(935\) | −1757.80 | + | 1014.87i | −1.88000 | + | 1.08542i | ||||
\(936\) | 126.624 | + | 57.5201i | 0.135282 | + | 0.0614531i | ||||
\(937\) | 22.0506 | + | 38.1928i | 0.0235332 | + | 0.0407607i | 0.877552 | − | 0.479481i | \(-0.159175\pi\) |
−0.854019 | + | 0.520242i | \(0.825842\pi\) | |||||||
\(938\) | −630.987 | − | 337.530i | −0.672694 | − | 0.359840i | ||||
\(939\) | − | 1637.08i | − | 1.74343i | ||||||
\(940\) | 1366.44 | + | 674.945i | 1.45366 | + | 0.718027i | ||||
\(941\) | −781.948 | − | 1354.37i | −0.830975 | − | 1.43929i | −0.897266 | − | 0.441491i | \(-0.854450\pi\) |
0.0662905 | − | 0.997800i | \(-0.478884\pi\) | |||||||
\(942\) | −152.831 | + | 285.705i | −0.162241 | + | 0.303296i | ||||
\(943\) | 167.691i | 0.177827i | ||||||||
\(944\) | −21.8129 | − | 167.349i | −0.0231069 | − | 0.177276i | ||||
\(945\) | −232.355 | + | 402.451i | −0.245878 | + | 0.425874i | ||||
\(946\) | 10.8738 | + | 335.460i | 0.0114945 | + | 0.354609i | ||||
\(947\) | −1324.53 | − | 764.719i | −1.39866 | − | 0.807517i | −0.404408 | − | 0.914579i | \(-0.632522\pi\) |
−0.994252 | + | 0.107061i | \(0.965856\pi\) | |||||||
\(948\) | 1168.57 | − | 75.8371i | 1.23267 | − | 0.0799970i | ||||
\(949\) | 110.833 | 0.116789 | ||||||||
\(950\) | 13.9885 | + | 2168.28i | 0.0147247 | + | 2.28240i | ||||
\(951\) | − | 2152.88i | − | 2.26381i | ||||||
\(952\) | −179.022 | + | 394.097i | −0.188048 | + | 0.413968i | ||||
\(953\) | −115.313 | + | 199.728i | −0.121000 | + | 0.209578i | −0.920162 | − | 0.391537i | \(-0.871943\pi\) |
0.799162 | + | 0.601115i | \(0.205277\pi\) | |||||||
\(954\) | −8.32070 | − | 256.696i | −0.00872191 | − | 0.269074i | ||||
\(955\) | −1245.47 | − | 719.070i | −1.30415 | − | 0.752953i | ||||
\(956\) | 618.201 | + | 305.358i | 0.646654 | + | 0.319412i | ||||
\(957\) | −1336.26 | −1.39630 | ||||||||
\(958\) | −466.293 | + | 871.698i | −0.486736 | + | 0.909914i | ||||
\(959\) | 199.468 | − | 115.163i | 0.207996 | − | 0.120086i | ||||
\(960\) | −1570.73 | + | 1372.14i | −1.63617 | + | 1.42931i | ||||
\(961\) | 387.360 | 0.403080 | ||||||||
\(962\) | 150.418 | + | 80.4625i | 0.156360 | + | 0.0836409i | ||||
\(963\) | 30.2974 | − | 17.4922i | 0.0314615 | − | 0.0181643i | ||||
\(964\) | 1089.52 | − | 70.7068i | 1.13021 | − | 0.0733473i | ||||
\(965\) | 1395.58 | + | 2417.21i | 1.44620 | + | 2.50489i | ||||
\(966\) | −312.569 | − | 503.012i | −0.323570 | − | 0.520717i | ||||
\(967\) | 1289.91 | + | 744.731i | 1.33393 | + | 0.770146i | 0.985900 | − | 0.167337i | \(-0.0535166\pi\) |
0.348032 | + | 0.937483i | \(0.386850\pi\) | |||||||
\(968\) | −11.8665 | − | 121.687i | −0.0122588 | − | 0.125709i | ||||
\(969\) | −1118.72 | − | 685.202i | −1.15451 | − | 0.707123i | ||||
\(970\) | −854.891 | − | 457.302i | −0.881331 | − | 0.471446i | ||||
\(971\) | −988.417 | − | 570.663i | −1.01794 | − | 0.587706i | −0.104432 | − | 0.994532i | \(-0.533302\pi\) |
−0.913506 | + | 0.406826i | \(0.866636\pi\) | |||||||
\(972\) | −51.6381 | − | 795.689i | −0.0531256 | − | 0.818610i | ||||
\(973\) | −27.0347 | − | 46.8255i | −0.0277849 | − | 0.0481249i | ||||
\(974\) | 920.519 | + | 1481.38i | 0.945091 | + | 1.52092i | ||||
\(975\) | −784.084 | + | 452.691i | −0.804189 | + | 0.464299i | ||||
\(976\) | −657.471 | + | 1581.52i | −0.673638 | + | 1.62041i | ||||
\(977\) | 1598.63 | 1.63626 | 0.818132 | − | 0.575030i | \(-0.195010\pi\) | ||||
0.818132 | + | 0.575030i | \(0.195010\pi\) | |||||||
\(978\) | −18.8259 | − | 580.785i | −0.0192494 | − | 0.593850i | ||||
\(979\) | 488.762 | − | 282.187i | 0.499246 | − | 0.288240i | ||||
\(980\) | −825.646 | − | 1237.39i | −0.842496 | − | 1.26264i | ||||
\(981\) | −18.0933 | −0.0184438 | ||||||||
\(982\) | 72.8233 | − | 2.36054i | 0.0741581 | − | 0.00240380i | ||||
\(983\) | −455.988 | − | 263.265i | −0.463874 | − | 0.267818i | 0.249798 | − | 0.968298i | \(-0.419636\pi\) |
−0.713672 | + | 0.700480i | \(0.752969\pi\) | |||||||
\(984\) | 96.1457 | + | 134.445i | 0.0977090 | + | 0.136631i | ||||
\(985\) | 200.618 | − | 347.481i | 0.203673 | − | 0.352773i | ||||
\(986\) | 1037.42 | − | 644.645i | 1.05215 | − | 0.653798i | ||||
\(987\) | 426.542i | 0.432160i | ||||||||
\(988\) | −178.753 | − | 283.568i | −0.180924 | − | 0.287012i | ||||
\(989\) | 419.735 | 0.424403 | ||||||||
\(990\) | −439.997 | − | 708.080i | −0.444441 | − | 0.715232i | ||||
\(991\) | −513.571 | − | 296.510i | −0.518235 | − | 0.299203i | 0.217977 | − | 0.975954i | \(-0.430054\pi\) |
−0.736212 | + | 0.676751i | \(0.763387\pi\) | |||||||
\(992\) | 271.127 | − | 716.867i | 0.273313 | − | 0.722648i | ||||
\(993\) | 507.651 | − | 879.277i | 0.511230 | − | 0.885476i | ||||
\(994\) | −0.821258 | − | 25.3361i | −0.000826215 | − | 0.0254890i | ||||
\(995\) | − | 2075.79i | − | 2.08623i | ||||||
\(996\) | −1109.28 | − | 1662.46i | −1.11373 | − | 1.66914i | ||||
\(997\) | −402.199 | − | 696.629i | −0.403409 | − | 0.698726i | 0.590725 | − | 0.806873i | \(-0.298842\pi\) |
−0.994135 | + | 0.108147i | \(0.965508\pi\) | |||||||
\(998\) | 141.404 | − | 4.58356i | 0.141688 | − | 0.00459274i | ||||
\(999\) | − | 351.908i | − | 0.352260i |
(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 | 76.3.g.c.11.4 | yes | 28 | |
4.3 | odd | 2 | inner | 76.3.g.c.11.7 | yes | 28 | |
19.7 | even | 3 | inner | 76.3.g.c.7.7 | yes | 28 | |
76.7 | odd | 6 | inner | 76.3.g.c.7.4 | ✓ | 28 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
76.3.g.c.7.4 | ✓ | 28 | 76.7 | odd | 6 | inner | |
76.3.g.c.7.7 | yes | 28 | 19.7 | even | 3 | inner | |
76.3.g.c.11.4 | yes | 28 | 1.1 | even | 1 | trivial | |
76.3.g.c.11.7 | yes | 28 | 4.3 | odd | 2 | inner |