Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,3,Mod(23,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 10, 11]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.23");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.u (of order \(20\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(8.17440793081\) |
Analytic rank: | \(0\) |
Dimension: | \(928\) |
Relative dimension: | \(116\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 47.27 | ||
Character | \(\chi\) | \(=\) | 300.47 |
Dual form | 300.3.u.a.83.27 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{17}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.51186 | − | 1.30930i | −0.755932 | − | 0.654650i | ||||
\(3\) | −0.0183538 | − | 2.99994i | −0.00611794 | − | 0.999981i | ||||
\(4\) | 0.571471 | + | 3.95897i | 0.142868 | + | 0.989742i | ||||
\(5\) | 1.58030 | − | 4.74370i | 0.316060 | − | 0.948739i | ||||
\(6\) | −3.90008 | + | 4.55954i | −0.650013 | + | 0.759923i | ||||
\(7\) | −1.24419 | + | 1.24419i | −0.177741 | + | 0.177741i | −0.790370 | − | 0.612629i | \(-0.790112\pi\) |
0.612629 | + | 0.790370i | \(0.290112\pi\) | |||||||
\(8\) | 4.31948 | − | 6.73365i | 0.539936 | − | 0.841706i | ||||
\(9\) | −8.99933 | + | 0.110121i | −0.999925 | + | 0.0122357i | ||||
\(10\) | −8.60012 | + | 5.10274i | −0.860012 | + | 0.510274i | ||||
\(11\) | −0.692920 | + | 2.13259i | −0.0629928 | + | 0.193872i | −0.977600 | − | 0.210472i | \(-0.932500\pi\) |
0.914607 | + | 0.404344i | \(0.132500\pi\) | |||||||
\(12\) | 11.8662 | − | 1.78704i | 0.988849 | − | 0.148920i | ||||
\(13\) | −10.0406 | − | 5.11596i | −0.772357 | − | 0.393536i | 0.0229543 | − | 0.999737i | \(-0.492693\pi\) |
−0.795312 | + | 0.606201i | \(0.792693\pi\) | |||||||
\(14\) | 3.51005 | − | 0.252029i | 0.250718 | − | 0.0180021i | ||||
\(15\) | −14.2598 | − | 4.65374i | −0.950655 | − | 0.310249i | ||||
\(16\) | −15.3468 | + | 4.52487i | −0.959178 | + | 0.282805i | ||||
\(17\) | 3.23238 | − | 20.4084i | 0.190140 | − | 1.20050i | −0.689296 | − | 0.724479i | \(-0.742080\pi\) |
0.879436 | − | 0.476016i | \(-0.157920\pi\) | |||||||
\(18\) | 13.7499 | + | 11.6163i | 0.763886 | + | 0.645351i | ||||
\(19\) | −12.8692 | + | 9.35001i | −0.677325 | + | 0.492106i | −0.872469 | − | 0.488669i | \(-0.837483\pi\) |
0.195144 | + | 0.980775i | \(0.437483\pi\) | |||||||
\(20\) | 19.6832 | + | 3.54546i | 0.984162 | + | 0.177273i | ||||
\(21\) | 3.75532 | + | 3.70965i | 0.178825 | + | 0.176650i | ||||
\(22\) | 3.83980 | − | 2.31695i | 0.174536 | − | 0.105316i | ||||
\(23\) | 0.784714 | + | 1.54009i | 0.0341180 | + | 0.0669604i | 0.907436 | − | 0.420190i | \(-0.138036\pi\) |
−0.873318 | + | 0.487150i | \(0.838036\pi\) | |||||||
\(24\) | −20.2799 | − | 12.8346i | −0.844994 | − | 0.534776i | ||||
\(25\) | −20.0053 | − | 14.9929i | −0.800212 | − | 0.599717i | ||||
\(26\) | 8.48177 | + | 20.8809i | 0.326222 | + | 0.803110i | ||||
\(27\) | 0.495529 | + | 26.9955i | 0.0183529 | + | 0.999832i | ||||
\(28\) | −5.63671 | − | 4.21467i | −0.201311 | − | 0.150524i | ||||
\(29\) | −30.5965 | − | 22.2297i | −1.05505 | − | 0.766541i | −0.0818864 | − | 0.996642i | \(-0.526094\pi\) |
−0.973167 | + | 0.230101i | \(0.926094\pi\) | |||||||
\(30\) | 15.4658 | + | 25.7062i | 0.515526 | + | 0.856874i | ||||
\(31\) | 17.0893 | + | 23.5214i | 0.551267 | + | 0.758754i | 0.990183 | − | 0.139774i | \(-0.0446376\pi\) |
−0.438917 | + | 0.898528i | \(0.644638\pi\) | |||||||
\(32\) | 29.1268 | + | 13.2526i | 0.910211 | + | 0.414144i | ||||
\(33\) | 6.41037 | + | 2.03958i | 0.194254 | + | 0.0618055i | ||||
\(34\) | −31.6077 | + | 26.6226i | −0.929637 | + | 0.783019i | ||||
\(35\) | 3.93585 | + | 7.86822i | 0.112453 | + | 0.224806i | ||||
\(36\) | −5.57882 | − | 35.5651i | −0.154967 | − | 0.987920i | ||||
\(37\) | −7.24700 | + | 14.2230i | −0.195865 | + | 0.384407i | −0.967962 | − | 0.251099i | \(-0.919208\pi\) |
0.772097 | + | 0.635505i | \(0.219208\pi\) | |||||||
\(38\) | 31.6984 | + | 2.71366i | 0.834169 | + | 0.0714121i | ||||
\(39\) | −15.1633 | + | 30.2153i | −0.388803 | + | 0.774751i | ||||
\(40\) | −25.1163 | − | 31.1315i | −0.627908 | − | 0.778288i | ||||
\(41\) | 6.07675 | − | 1.97446i | 0.148213 | − | 0.0481575i | −0.233971 | − | 0.972244i | \(-0.575172\pi\) |
0.382184 | + | 0.924086i | \(0.375172\pi\) | |||||||
\(42\) | −0.820497 | − | 10.5253i | −0.0195356 | − | 0.250603i | ||||
\(43\) | 6.89690 | + | 6.89690i | 0.160393 | + | 0.160393i | 0.782741 | − | 0.622348i | \(-0.213821\pi\) |
−0.622348 | + | 0.782741i | \(0.713821\pi\) | |||||||
\(44\) | −8.83884 | − | 1.52454i | −0.200883 | − | 0.0346485i | ||||
\(45\) | −13.6992 | + | 42.8641i | −0.304428 | + | 0.952535i | ||||
\(46\) | 0.830054 | − | 3.35583i | 0.0180447 | − | 0.0729528i | ||||
\(47\) | 7.41710 | + | 46.8297i | 0.157811 | + | 0.996377i | 0.931746 | + | 0.363112i | \(0.118286\pi\) |
−0.773935 | + | 0.633265i | \(0.781714\pi\) | |||||||
\(48\) | 13.8560 | + | 45.9566i | 0.288667 | + | 0.957429i | ||||
\(49\) | 45.9040i | 0.936816i | ||||||||
\(50\) | 10.6151 | + | 48.8602i | 0.212302 | + | 0.977204i | ||||
\(51\) | −61.2835 | − | 9.32238i | −1.20164 | − | 0.182792i | ||||
\(52\) | 14.5160 | − | 42.6742i | 0.279154 | − | 0.820658i | ||||
\(53\) | 1.63077 | + | 10.2963i | 0.0307693 | + | 0.194270i | 0.998285 | − | 0.0585413i | \(-0.0186449\pi\) |
−0.967516 | + | 0.252811i | \(0.918645\pi\) | |||||||
\(54\) | 34.5960 | − | 41.4623i | 0.640666 | − | 0.767820i | ||||
\(55\) | 9.02134 | + | 6.65713i | 0.164024 | + | 0.121039i | ||||
\(56\) | 3.00367 | + | 13.7522i | 0.0536370 | + | 0.245574i | ||||
\(57\) | 28.2857 | + | 38.4352i | 0.496240 | + | 0.674302i | ||||
\(58\) | 17.1525 | + | 73.6683i | 0.295733 | + | 1.27014i | ||||
\(59\) | −80.2927 | + | 26.0887i | −1.36089 | + | 0.442181i | −0.896341 | − | 0.443364i | \(-0.853785\pi\) |
−0.464552 | + | 0.885546i | \(0.653785\pi\) | |||||||
\(60\) | 10.2749 | − | 59.1137i | 0.171249 | − | 0.985228i | ||||
\(61\) | 25.0310 | − | 77.0375i | 0.410344 | − | 1.26291i | −0.506005 | − | 0.862530i | \(-0.668878\pi\) |
0.916350 | − | 0.400379i | \(-0.131122\pi\) | |||||||
\(62\) | 4.95983 | − | 57.9361i | 0.0799973 | − | 0.934453i | ||||
\(63\) | 11.0598 | − | 11.3338i | 0.175553 | − | 0.179902i | ||||
\(64\) | −26.6841 | − | 58.1718i | −0.416939 | − | 0.908934i | ||||
\(65\) | −40.1358 | + | 39.5450i | −0.617474 | + | 0.608385i | ||||
\(66\) | −7.02119 | − | 11.4767i | −0.106382 | − | 0.173889i | ||||
\(67\) | 20.2682 | − | 127.968i | 0.302510 | − | 1.90997i | −0.100798 | − | 0.994907i | \(-0.532140\pi\) |
0.403308 | − | 0.915064i | \(-0.367860\pi\) | |||||||
\(68\) | 82.6435 | + | 1.13404i | 1.21535 | + | 0.0166771i | ||||
\(69\) | 4.60578 | − | 2.38236i | 0.0667504 | − | 0.0345270i | ||||
\(70\) | 4.35138 | − | 17.0489i | 0.0621626 | − | 0.243556i | ||||
\(71\) | −40.5165 | − | 29.4370i | −0.570655 | − | 0.414605i | 0.264688 | − | 0.964334i | \(-0.414731\pi\) |
−0.835343 | + | 0.549729i | \(0.814731\pi\) | |||||||
\(72\) | −38.1309 | + | 61.0740i | −0.529596 | + | 0.848250i | ||||
\(73\) | 3.53764 | + | 6.94301i | 0.0484608 | + | 0.0951098i | 0.913967 | − | 0.405789i | \(-0.133003\pi\) |
−0.865506 | + | 0.500898i | \(0.833003\pi\) | |||||||
\(74\) | 29.5787 | − | 12.0148i | 0.399712 | − | 0.162363i | ||||
\(75\) | −44.6107 | + | 60.2900i | −0.594810 | + | 0.803867i | ||||
\(76\) | −44.3707 | − | 45.6054i | −0.583825 | − | 0.600071i | ||||
\(77\) | −1.79122 | − | 3.51546i | −0.0232625 | − | 0.0456553i | ||||
\(78\) | 62.4857 | − | 25.8281i | 0.801099 | − | 0.331129i | ||||
\(79\) | −30.7407 | − | 22.3344i | −0.389123 | − | 0.282714i | 0.375973 | − | 0.926631i | \(-0.377309\pi\) |
−0.765096 | + | 0.643916i | \(0.777309\pi\) | |||||||
\(80\) | −2.78797 | + | 79.9514i | −0.0348496 | + | 0.999393i | ||||
\(81\) | 80.9757 | − | 1.98203i | 0.999701 | − | 0.0244695i | ||||
\(82\) | −11.7724 | − | 4.97117i | −0.143566 | − | 0.0606241i | ||||
\(83\) | 10.2936 | − | 64.9915i | 0.124020 | − | 0.783031i | −0.844767 | − | 0.535135i | \(-0.820261\pi\) |
0.968787 | − | 0.247896i | \(-0.0797391\pi\) | |||||||
\(84\) | −12.5403 | + | 16.9872i | −0.149290 | + | 0.202228i | ||||
\(85\) | −91.7033 | − | 47.5848i | −1.07886 | − | 0.559822i | ||||
\(86\) | −1.39708 | − | 19.4573i | −0.0162451 | − | 0.226248i | ||||
\(87\) | −66.1263 | + | 92.1959i | −0.760072 | + | 1.05972i | ||||
\(88\) | 11.3671 | + | 13.8776i | 0.129171 | + | 0.157700i | ||||
\(89\) | 26.9579 | − | 82.9679i | 0.302898 | − | 0.932224i | −0.677555 | − | 0.735472i | \(-0.736961\pi\) |
0.980453 | − | 0.196752i | \(-0.0630394\pi\) | |||||||
\(90\) | 76.8333 | − | 46.8683i | 0.853704 | − | 0.520759i | ||||
\(91\) | 18.8576 | − | 6.12722i | 0.207227 | − | 0.0673321i | ||||
\(92\) | −5.64872 | + | 3.98677i | −0.0613991 | + | 0.0433345i | ||||
\(93\) | 70.2491 | − | 51.6986i | 0.755367 | − | 0.555899i | ||||
\(94\) | 50.1005 | − | 80.5114i | 0.532984 | − | 0.856504i | ||||
\(95\) | 24.0164 | + | 75.8233i | 0.252805 | + | 0.798140i | ||||
\(96\) | 39.2225 | − | 87.6219i | 0.408568 | − | 0.912728i | ||||
\(97\) | 18.3042 | + | 115.568i | 0.188703 | + | 1.19143i | 0.882168 | + | 0.470935i | \(0.156083\pi\) |
−0.693465 | + | 0.720491i | \(0.743917\pi\) | |||||||
\(98\) | 60.1021 | − | 69.4007i | 0.613286 | − | 0.708170i | ||||
\(99\) | 6.00097 | − | 19.2682i | 0.0606159 | − | 0.194628i | ||||
\(100\) | 47.9240 | − | 87.7684i | 0.479240 | − | 0.877684i | ||||
\(101\) | − | 172.001i | − | 1.70298i | −0.524369 | − | 0.851491i | \(-0.675699\pi\) | ||
0.524369 | − | 0.851491i | \(-0.324301\pi\) | |||||||
\(102\) | 80.4465 | + | 94.3326i | 0.788692 | + | 0.924829i | ||||
\(103\) | −18.3194 | − | 115.664i | −0.177858 | − | 1.12295i | −0.901501 | − | 0.432778i | \(-0.857533\pi\) |
0.723642 | − | 0.690175i | \(-0.242467\pi\) | |||||||
\(104\) | −77.8195 | + | 45.5119i | −0.748265 | + | 0.437614i | ||||
\(105\) | 23.5320 | − | 11.9518i | 0.224114 | − | 0.113826i | ||||
\(106\) | 11.0154 | − | 17.7018i | 0.103919 | − | 0.166998i | ||||
\(107\) | −82.0905 | − | 82.0905i | −0.767201 | − | 0.767201i | 0.210412 | − | 0.977613i | \(-0.432519\pi\) |
−0.977613 | + | 0.210412i | \(0.932519\pi\) | |||||||
\(108\) | −106.591 | + | 17.3889i | −0.986953 | + | 0.161008i | ||||
\(109\) | −9.61688 | + | 3.12471i | −0.0882283 | + | 0.0286671i | −0.352799 | − | 0.935699i | \(-0.614770\pi\) |
0.264570 | + | 0.964366i | \(0.414770\pi\) | |||||||
\(110\) | −4.92287 | − | 21.8763i | −0.0447533 | − | 0.198876i | ||||
\(111\) | 42.8013 | + | 21.4796i | 0.385598 | + | 0.193509i | ||||
\(112\) | 13.4645 | − | 24.7241i | 0.120219 | − | 0.220751i | ||||
\(113\) | 39.8136 | − | 78.1387i | 0.352333 | − | 0.691493i | −0.645023 | − | 0.764163i | \(-0.723152\pi\) |
0.997356 | + | 0.0726706i | \(0.0231522\pi\) | |||||||
\(114\) | 7.55904 | − | 95.1433i | 0.0663073 | − | 0.834590i | ||||
\(115\) | 8.54579 | − | 1.28865i | 0.0743113 | − | 0.0112056i | ||||
\(116\) | 70.5216 | − | 133.834i | 0.607945 | − | 1.15374i | ||||
\(117\) | 90.9224 | + | 44.9345i | 0.777115 | + | 0.384056i | ||||
\(118\) | 155.550 | + | 65.6846i | 1.31822 | + | 0.556650i | ||||
\(119\) | 21.3702 | + | 29.4136i | 0.179581 | + | 0.247173i | ||||
\(120\) | −92.9318 | + | 75.9189i | −0.774432 | + | 0.632658i | ||||
\(121\) | 93.8233 | + | 68.1666i | 0.775399 | + | 0.563360i | ||||
\(122\) | −138.709 | + | 83.6972i | −1.13696 | + | 0.686043i | ||||
\(123\) | −6.03479 | − | 18.1937i | −0.0490633 | − | 0.147916i | ||||
\(124\) | −83.3543 | + | 81.0977i | −0.672212 | + | 0.654013i | ||||
\(125\) | −102.736 | + | 71.2058i | −0.821890 | + | 0.569647i | ||||
\(126\) | −31.5603 | + | 2.65463i | −0.250479 | + | 0.0210685i | ||||
\(127\) | −49.3408 | − | 96.8367i | −0.388510 | − | 0.762494i | 0.611067 | − | 0.791579i | \(-0.290741\pi\) |
−0.999577 | + | 0.0290850i | \(0.990741\pi\) | |||||||
\(128\) | −35.8215 | + | 122.885i | −0.279856 | + | 0.960042i | ||||
\(129\) | 20.5637 | − | 20.8169i | 0.159409 | − | 0.161371i | ||||
\(130\) | 112.456 | − | 7.23696i | 0.865048 | − | 0.0556689i | ||||
\(131\) | 162.828 | − | 118.302i | 1.24296 | − | 0.903066i | 0.245172 | − | 0.969480i | \(-0.421156\pi\) |
0.997792 | + | 0.0664132i | \(0.0211555\pi\) | |||||||
\(132\) | −4.41129 | + | 26.5440i | −0.0334189 | + | 0.201091i | ||||
\(133\) | 4.37850 | − | 27.6448i | 0.0329211 | − | 0.207856i | ||||
\(134\) | −198.191 | + | 166.933i | −1.47904 | + | 1.24577i | ||||
\(135\) | 128.841 | + | 40.3102i | 0.954380 | + | 0.298594i | ||||
\(136\) | −123.461 | − | 109.920i | −0.907802 | − | 0.808232i | ||||
\(137\) | −167.652 | − | 85.4228i | −1.22374 | − | 0.623524i | −0.281850 | − | 0.959459i | \(-0.590948\pi\) |
−0.941885 | + | 0.335934i | \(0.890948\pi\) | |||||||
\(138\) | −10.0825 | − | 2.42852i | −0.0730619 | − | 0.0175980i | ||||
\(139\) | −66.6942 | + | 205.264i | −0.479814 | + | 1.47672i | 0.359539 | + | 0.933130i | \(0.382934\pi\) |
−0.839353 | + | 0.543587i | \(0.817066\pi\) | |||||||
\(140\) | −28.9008 | + | 20.0784i | −0.206434 | + | 0.143417i | ||||
\(141\) | 140.350 | − | 23.1104i | 0.995393 | − | 0.163903i | ||||
\(142\) | 22.7137 | + | 97.5530i | 0.159956 | + | 0.686993i | ||||
\(143\) | 17.8676 | − | 17.8676i | 0.124948 | − | 0.124948i | ||||
\(144\) | 137.613 | − | 42.4108i | 0.955645 | − | 0.294520i | ||||
\(145\) | −153.803 | + | 110.011i | −1.06071 | + | 0.758698i | ||||
\(146\) | 3.74204 | − | 15.1287i | 0.0256304 | − | 0.103621i | ||||
\(147\) | 137.709 | − | 0.842514i | 0.936799 | − | 0.00573139i | ||||
\(148\) | −60.4500 | − | 20.5626i | −0.408446 | − | 0.138936i | ||||
\(149\) | 83.8147 | 0.562515 | 0.281257 | − | 0.959632i | \(-0.409249\pi\) | ||||
0.281257 | + | 0.959632i | \(0.409249\pi\) | |||||||
\(150\) | 146.383 | − | 32.7415i | 0.975887 | − | 0.218277i | ||||
\(151\) | 153.562i | 1.01697i | 0.861071 | + | 0.508484i | \(0.169794\pi\) | ||||
−0.861071 | + | 0.508484i | \(0.830206\pi\) | |||||||
\(152\) | 7.37145 | + | 127.044i | 0.0484964 | + | 0.835814i | ||||
\(153\) | −26.8418 | + | 184.018i | −0.175437 | + | 1.20273i | ||||
\(154\) | −1.89471 | + | 7.66014i | −0.0123033 | + | 0.0497412i | ||||
\(155\) | 138.584 | − | 43.8955i | 0.894093 | − | 0.283197i | ||||
\(156\) | −128.287 | − | 42.7639i | −0.822350 | − | 0.274128i | ||||
\(157\) | −78.0243 | − | 78.0243i | −0.496970 | − | 0.496970i | 0.413524 | − | 0.910493i | \(-0.364298\pi\) |
−0.910493 | + | 0.413524i | \(0.864298\pi\) | |||||||
\(158\) | 17.2333 | + | 74.0154i | 0.109072 | + | 0.468452i | ||||
\(159\) | 30.8584 | − | 5.08120i | 0.194078 | − | 0.0319572i | ||||
\(160\) | 108.895 | − | 117.225i | 0.680596 | − | 0.732659i | ||||
\(161\) | −2.89249 | − | 0.939826i | −0.0179658 | − | 0.00583743i | ||||
\(162\) | −125.019 | − | 103.025i | −0.771725 | − | 0.635956i | ||||
\(163\) | 83.8584 | − | 164.581i | 0.514469 | − | 1.00970i | −0.476944 | − | 0.878934i | \(-0.658256\pi\) |
0.991413 | − | 0.130769i | \(-0.0417445\pi\) | |||||||
\(164\) | 11.2895 | + | 22.9293i | 0.0688384 | + | 0.139813i | ||||
\(165\) | 19.8054 | − | 27.1857i | 0.120033 | − | 0.164762i | ||||
\(166\) | −100.656 | + | 84.7810i | −0.606361 | + | 0.510729i | ||||
\(167\) | 198.326 | + | 31.4118i | 1.18758 | + | 0.188095i | 0.718798 | − | 0.695219i | \(-0.244692\pi\) |
0.468784 | + | 0.883313i | \(0.344692\pi\) | |||||||
\(168\) | 41.2006 | − | 9.26325i | 0.245241 | − | 0.0551384i | ||||
\(169\) | −24.6942 | − | 33.9887i | −0.146120 | − | 0.201117i | ||||
\(170\) | 76.3402 | + | 192.009i | 0.449060 | + | 1.12946i | ||||
\(171\) | 114.784 | − | 85.5609i | 0.671253 | − | 0.500356i | ||||
\(172\) | −23.3632 | + | 31.2460i | −0.135833 | + | 0.181663i | ||||
\(173\) | −87.6988 | + | 44.6848i | −0.506929 | + | 0.258293i | −0.688699 | − | 0.725048i | \(-0.741818\pi\) |
0.181769 | + | 0.983341i | \(0.441818\pi\) | |||||||
\(174\) | 220.686 | − | 52.8087i | 1.26831 | − | 0.303498i | ||||
\(175\) | 43.5443 | − | 6.23635i | 0.248825 | − | 0.0356363i | ||||
\(176\) | 0.984442 | − | 35.8639i | 0.00559342 | − | 0.203772i | ||||
\(177\) | 79.7383 | + | 240.395i | 0.450499 | + | 1.35816i | ||||
\(178\) | −149.387 | + | 90.1403i | −0.839250 | + | 0.506406i | ||||
\(179\) | −102.209 | + | 140.679i | −0.571000 | + | 0.785915i | −0.992673 | − | 0.120834i | \(-0.961443\pi\) |
0.421672 | + | 0.906748i | \(0.361443\pi\) | |||||||
\(180\) | −177.526 | − | 29.7393i | −0.986257 | − | 0.165218i | ||||
\(181\) | −87.5875 | + | 63.6361i | −0.483909 | + | 0.351580i | −0.802837 | − | 0.596198i | \(-0.796677\pi\) |
0.318928 | + | 0.947779i | \(0.396677\pi\) | |||||||
\(182\) | −36.5326 | − | 15.4268i | −0.200728 | − | 0.0847624i | ||||
\(183\) | −231.568 | − | 73.6777i | −1.26540 | − | 0.402610i | ||||
\(184\) | 13.7600 | + | 1.36840i | 0.0747825 | + | 0.00743694i | ||||
\(185\) | 56.0174 | + | 56.8542i | 0.302797 | + | 0.307320i | ||||
\(186\) | −173.896 | − | 13.8159i | −0.934925 | − | 0.0742789i | ||||
\(187\) | 41.2830 | + | 21.0348i | 0.220765 | + | 0.112485i | ||||
\(188\) | −181.159 | + | 56.1259i | −0.963610 | + | 0.298542i | ||||
\(189\) | −34.2039 | − | 32.9708i | −0.180973 | − | 0.174449i | ||||
\(190\) | 62.9657 | − | 146.079i | 0.331399 | − | 0.768838i | ||||
\(191\) | −88.5821 | − | 272.628i | −0.463781 | − | 1.42737i | −0.860509 | − | 0.509434i | \(-0.829855\pi\) |
0.396729 | − | 0.917936i | \(-0.370145\pi\) | |||||||
\(192\) | −174.022 | + | 81.1185i | −0.906367 | + | 0.422492i | ||||
\(193\) | 183.569 | − | 183.569i | 0.951136 | − | 0.951136i | −0.0477244 | − | 0.998861i | \(-0.515197\pi\) |
0.998861 | + | 0.0477244i | \(0.0151969\pi\) | |||||||
\(194\) | 123.640 | − | 198.689i | 0.637319 | − | 1.02417i | ||||
\(195\) | 119.369 | + | 119.679i | 0.612151 | + | 0.613740i | ||||
\(196\) | −181.732 | + | 26.2328i | −0.927206 | + | 0.133841i | ||||
\(197\) | −248.134 | + | 39.3006i | −1.25957 | + | 0.199496i | −0.750290 | − | 0.661108i | \(-0.770086\pi\) |
−0.509275 | + | 0.860604i | \(0.670086\pi\) | |||||||
\(198\) | −34.3005 | + | 21.2738i | −0.173235 | + | 0.107443i | ||||
\(199\) | −397.365 | −1.99681 | −0.998406 | − | 0.0564458i | \(-0.982023\pi\) | ||||
−0.998406 | + | 0.0564458i | \(0.982023\pi\) | |||||||
\(200\) | −187.370 | + | 69.9471i | −0.936848 | + | 0.349736i | ||||
\(201\) | −384.269 | − | 58.4546i | −1.91179 | − | 0.290819i | ||||
\(202\) | −225.201 | + | 260.043i | −1.11486 | + | 1.28734i | ||||
\(203\) | 65.7256 | − | 10.4099i | 0.323772 | − | 0.0512804i | ||||
\(204\) | 1.88524 | − | 247.947i | 0.00924138 | − | 1.21543i | ||||
\(205\) | 0.236861 | − | 31.9465i | 0.00115542 | − | 0.155837i | ||||
\(206\) | −123.743 | + | 198.854i | −0.600692 | + | 0.965312i | ||||
\(207\) | −7.23149 | − | 13.7733i | −0.0349348 | − | 0.0665379i | ||||
\(208\) | 177.241 | + | 33.0812i | 0.852122 | + | 0.159044i | ||||
\(209\) | −11.0224 | − | 33.9235i | −0.0527388 | − | 0.162313i | ||||
\(210\) | −51.2256 | − | 12.7410i | −0.243932 | − | 0.0606713i | ||||
\(211\) | 342.620 | + | 111.324i | 1.62379 | + | 0.527602i | 0.972832 | − | 0.231511i | \(-0.0743669\pi\) |
0.650959 | + | 0.759113i | \(0.274367\pi\) | |||||||
\(212\) | −39.8307 | + | 12.3402i | −0.187881 | + | 0.0582085i | ||||
\(213\) | −87.5657 | + | 122.088i | −0.411106 | + | 0.573181i | ||||
\(214\) | 16.6287 | + | 231.591i | 0.0777043 | + | 1.08220i | ||||
\(215\) | 43.6160 | − | 21.8176i | 0.202865 | − | 0.101477i | ||||
\(216\) | 183.918 | + | 113.270i | 0.851474 | + | 0.524397i | ||||
\(217\) | −50.5272 | − | 8.00272i | −0.232844 | − | 0.0368789i | ||||
\(218\) | 18.6306 | + | 7.86723i | 0.0854615 | + | 0.0360882i | ||||
\(219\) | 20.7637 | − | 10.7402i | 0.0948115 | − | 0.0490418i | ||||
\(220\) | −21.1999 | + | 39.5195i | −0.0963633 | + | 0.179634i | ||||
\(221\) | −136.864 | + | 188.377i | −0.619294 | + | 0.852385i | ||||
\(222\) | −36.5867 | − | 88.5139i | −0.164805 | − | 0.398711i | ||||
\(223\) | −307.430 | + | 156.643i | −1.37861 | + | 0.702437i | −0.976973 | − | 0.213363i | \(-0.931558\pi\) |
−0.401636 | + | 0.915799i | \(0.631558\pi\) | |||||||
\(224\) | −52.7278 | + | 19.7504i | −0.235392 | + | 0.0881714i | ||||
\(225\) | 181.685 | + | 132.723i | 0.807491 | + | 0.589881i | ||||
\(226\) | −162.500 | + | 66.0071i | −0.719025 | + | 0.292067i | ||||
\(227\) | 127.061 | − | 64.7410i | 0.559742 | − | 0.285203i | −0.151142 | − | 0.988512i | \(-0.548295\pi\) |
0.710884 | + | 0.703309i | \(0.248295\pi\) | |||||||
\(228\) | −135.999 | + | 133.947i | −0.596488 | + | 0.587486i | ||||
\(229\) | 248.275 | − | 341.721i | 1.08417 | − | 1.49223i | 0.229322 | − | 0.973351i | \(-0.426349\pi\) |
0.854847 | − | 0.518880i | \(-0.173651\pi\) | |||||||
\(230\) | −14.6073 | − | 9.24074i | −0.0635100 | − | 0.0401771i | ||||
\(231\) | −10.5133 | + | 5.43807i | −0.0455121 | + | 0.0235414i | ||||
\(232\) | −281.848 | + | 110.006i | −1.21486 | + | 0.474162i | ||||
\(233\) | 395.016 | + | 62.5644i | 1.69535 | + | 0.268517i | 0.927964 | − | 0.372670i | \(-0.121558\pi\) |
0.767385 | + | 0.641187i | \(0.221558\pi\) | |||||||
\(234\) | −78.6297 | − | 186.980i | −0.336024 | − | 0.799058i | ||||
\(235\) | 233.867 | + | 38.8205i | 0.995180 | + | 0.165194i | ||||
\(236\) | −149.169 | − | 302.967i | −0.632073 | − | 1.28376i | ||||
\(237\) | −66.4378 | + | 92.6303i | −0.280328 | + | 0.390845i | ||||
\(238\) | 6.20229 | − | 72.4493i | 0.0260600 | − | 0.304409i | ||||
\(239\) | 55.0624 | + | 17.8909i | 0.230387 | + | 0.0748571i | 0.421935 | − | 0.906626i | \(-0.361351\pi\) |
−0.191549 | + | 0.981483i | \(0.561351\pi\) | |||||||
\(240\) | 239.901 | + | 6.89634i | 0.999587 | + | 0.0287348i | ||||
\(241\) | 121.578 | + | 374.180i | 0.504475 | + | 1.55261i | 0.801652 | + | 0.597791i | \(0.203955\pi\) |
−0.297177 | + | 0.954822i | \(0.596045\pi\) | |||||||
\(242\) | −52.5976 | − | 225.901i | −0.217346 | − | 0.933477i | ||||
\(243\) | −7.43219 | − | 242.886i | −0.0305851 | − | 0.999532i | ||||
\(244\) | 319.293 | + | 55.0722i | 1.30858 | + | 0.225706i | ||||
\(245\) | 217.755 | + | 72.5420i | 0.888795 | + | 0.296090i | ||||
\(246\) | −14.6972 | + | 35.4077i | −0.0597446 | + | 0.143934i | ||||
\(247\) | 177.049 | − | 28.0418i | 0.716798 | − | 0.113530i | ||||
\(248\) | 232.202 | − | 13.4730i | 0.936296 | − | 0.0543267i | ||||
\(249\) | −195.160 | − | 29.6875i | −0.783775 | − | 0.119227i | ||||
\(250\) | 248.553 | + | 26.8588i | 0.994212 | + | 0.107435i | ||||
\(251\) | 24.7692 | 0.0986823 | 0.0493411 | − | 0.998782i | \(-0.484288\pi\) | ||||
0.0493411 | + | 0.998782i | \(0.484288\pi\) | |||||||
\(252\) | 51.1907 | + | 37.3085i | 0.203138 | + | 0.148050i | ||||
\(253\) | −3.82812 | + | 0.606315i | −0.0151309 | + | 0.00239650i | ||||
\(254\) | −52.1917 | + | 211.006i | −0.205479 | + | 0.830732i | ||||
\(255\) | −141.069 | + | 275.978i | −0.553211 | + | 1.08227i | ||||
\(256\) | 215.051 | − | 138.885i | 0.840043 | − | 0.542520i | ||||
\(257\) | 236.684 | − | 236.684i | 0.920948 | − | 0.920948i | −0.0761482 | − | 0.997097i | \(-0.524262\pi\) |
0.997097 | + | 0.0761482i | \(0.0242622\pi\) | |||||||
\(258\) | −58.3452 | + | 4.54827i | −0.226144 | + | 0.0176289i | ||||
\(259\) | −8.67949 | − | 26.7127i | −0.0335115 | − | 0.103138i | ||||
\(260\) | −179.494 | − | 136.297i | −0.690361 | − | 0.524221i | ||||
\(261\) | 277.796 | + | 196.683i | 1.06435 | + | 0.753574i | ||||
\(262\) | −401.067 | − | 34.3348i | −1.53079 | − | 0.131049i | ||||
\(263\) | 177.407 | + | 90.3931i | 0.674549 | + | 0.343700i | 0.757483 | − | 0.652855i | \(-0.226429\pi\) |
−0.0829335 | + | 0.996555i | \(0.526429\pi\) | |||||||
\(264\) | 41.4233 | − | 34.3552i | 0.156906 | − | 0.130133i | ||||
\(265\) | 51.4196 | + | 8.53533i | 0.194036 | + | 0.0322088i | ||||
\(266\) | −42.8150 | + | 36.0624i | −0.160959 | + | 0.135573i | ||||
\(267\) | −249.394 | − | 79.3494i | −0.934060 | − | 0.297189i | ||||
\(268\) | 518.204 | + | 7.11086i | 1.93360 | + | 0.0265330i | ||||
\(269\) | −98.6280 | + | 71.6575i | −0.366647 | + | 0.266385i | −0.755819 | − | 0.654780i | \(-0.772761\pi\) |
0.389172 | + | 0.921165i | \(0.372761\pi\) | |||||||
\(270\) | −142.013 | − | 229.635i | −0.525972 | − | 0.850502i | ||||
\(271\) | −35.8769 | + | 49.3803i | −0.132387 | + | 0.182215i | −0.870064 | − | 0.492939i | \(-0.835923\pi\) |
0.737677 | + | 0.675154i | \(0.235923\pi\) | |||||||
\(272\) | 42.7388 | + | 327.831i | 0.157128 | + | 1.20526i | ||||
\(273\) | −18.7274 | − | 56.4594i | −0.0685986 | − | 0.206811i | ||||
\(274\) | 141.623 | + | 348.654i | 0.516871 | + | 1.27246i | ||||
\(275\) | 45.8358 | − | 32.2742i | 0.166676 | − | 0.117361i | ||||
\(276\) | 12.0638 | + | 16.8727i | 0.0437093 | + | 0.0611328i | ||||
\(277\) | 100.945 | − | 51.4342i | 0.364423 | − | 0.185683i | −0.262184 | − | 0.965018i | \(-0.584443\pi\) |
0.626608 | + | 0.779335i | \(0.284443\pi\) | |||||||
\(278\) | 369.584 | − | 223.008i | 1.32944 | − | 0.802188i | ||||
\(279\) | −156.382 | − | 209.795i | −0.560509 | − | 0.751952i | ||||
\(280\) | 69.9827 | + | 7.48401i | 0.249938 | + | 0.0267286i | ||||
\(281\) | 12.3580 | + | 17.0094i | 0.0439787 | + | 0.0605315i | 0.830440 | − | 0.557108i | \(-0.188089\pi\) |
−0.786461 | + | 0.617640i | \(0.788089\pi\) | |||||||
\(282\) | −242.449 | − | 148.821i | −0.859749 | − | 0.527734i | ||||
\(283\) | −80.3848 | − | 12.7317i | −0.284045 | − | 0.0449883i | 0.0127862 | − | 0.999918i | \(-0.495930\pi\) |
−0.296831 | + | 0.954930i | \(0.595930\pi\) | |||||||
\(284\) | 93.3860 | − | 177.226i | 0.328824 | − | 0.624035i | ||||
\(285\) | 227.025 | − | 73.4396i | 0.796578 | − | 0.257683i | ||||
\(286\) | −50.4075 | + | 3.61937i | −0.176250 | + | 0.0126551i | ||||
\(287\) | −5.10402 | + | 10.0172i | −0.0177840 | + | 0.0349031i | ||||
\(288\) | −263.581 | − | 116.057i | −0.915211 | − | 0.402976i | ||||
\(289\) | −131.200 | − | 42.6296i | −0.453981 | − | 0.147507i | ||||
\(290\) | 376.566 | + | 35.0516i | 1.29850 | + | 0.120867i | ||||
\(291\) | 346.362 | − | 57.0327i | 1.19025 | − | 0.195989i | ||||
\(292\) | −25.4655 | + | 17.9731i | −0.0872106 | + | 0.0615518i | ||||
\(293\) | −206.453 | − | 206.453i | −0.704619 | − | 0.704619i | 0.260779 | − | 0.965398i | \(-0.416021\pi\) |
−0.965398 | + | 0.260779i | \(0.916021\pi\) | |||||||
\(294\) | −209.301 | − | 179.029i | −0.711909 | − | 0.608942i | ||||
\(295\) | −3.12968 | + | 422.112i | −0.0106091 | + | 1.43089i | ||||
\(296\) | 64.4697 | + | 110.235i | 0.217803 | + | 0.372416i | ||||
\(297\) | −57.9136 | − | 17.6489i | −0.194995 | − | 0.0594240i | ||||
\(298\) | −126.716 | − | 109.738i | −0.425223 | − | 0.368250i | ||||
\(299\) | − | 19.4781i | − | 0.0651440i | ||||||
\(300\) | −264.180 | − | 142.158i | −0.880599 | − | 0.473861i | ||||
\(301\) | −17.1621 | −0.0570168 | ||||||||
\(302\) | 201.059 | − | 232.165i | 0.665758 | − | 0.768760i | ||||
\(303\) | −515.994 | + | 3.15688i | −1.70295 | + | 0.0104187i | ||||
\(304\) | 155.194 | − | 201.724i | 0.510505 | − | 0.663567i | ||||
\(305\) | −325.886 | − | 240.482i | −1.06848 | − | 0.788465i | ||||
\(306\) | 281.516 | − | 243.066i | 0.919987 | − | 0.794335i | ||||
\(307\) | 231.567 | − | 231.567i | 0.754291 | − | 0.754291i | −0.220986 | − | 0.975277i | \(-0.570928\pi\) |
0.975277 | + | 0.220986i | \(0.0709276\pi\) | |||||||
\(308\) | 12.8940 | − | 9.10035i | 0.0418635 | − | 0.0295466i | ||||
\(309\) | −346.650 | + | 57.0801i | −1.12184 | + | 0.184725i | ||||
\(310\) | −266.993 | − | 115.084i | −0.861269 | − | 0.371240i | ||||
\(311\) | −42.1689 | + | 129.783i | −0.135591 | + | 0.417307i | −0.995682 | − | 0.0928347i | \(-0.970407\pi\) |
0.860090 | + | 0.510142i | \(0.170407\pi\) | |||||||
\(312\) | 137.961 | + | 232.619i | 0.442184 | + | 0.745573i | ||||
\(313\) | 55.2859 | + | 28.1696i | 0.176632 | + | 0.0899986i | 0.540071 | − | 0.841619i | \(-0.318397\pi\) |
−0.363439 | + | 0.931618i | \(0.618397\pi\) | |||||||
\(314\) | 15.8050 | + | 220.119i | 0.0503345 | + | 0.701017i | ||||
\(315\) | −36.2865 | − | 70.3753i | −0.115195 | − | 0.223414i | ||||
\(316\) | 70.8538 | − | 134.465i | 0.224221 | − | 0.425522i | ||||
\(317\) | 55.7879 | − | 352.231i | 0.175987 | − | 1.11114i | −0.728628 | − | 0.684910i | \(-0.759842\pi\) |
0.904615 | − | 0.426230i | \(-0.140158\pi\) | |||||||
\(318\) | −53.3065 | − | 32.7207i | −0.167630 | − | 0.102895i | ||||
\(319\) | 68.6078 | − | 49.8465i | 0.215071 | − | 0.156259i | ||||
\(320\) | −318.118 | + | 34.6525i | −0.994119 | + | 0.108289i | ||||
\(321\) | −244.760 | + | 247.773i | −0.762493 | + | 0.771880i | ||||
\(322\) | 3.14254 | + | 5.20802i | 0.00975943 | + | 0.0161740i | ||||
\(323\) | 149.221 | + | 292.862i | 0.461984 | + | 0.906695i | ||||
\(324\) | 54.1221 | + | 319.448i | 0.167044 | + | 0.985950i | ||||
\(325\) | 124.163 | + | 252.885i | 0.382040 | + | 0.778108i | ||||
\(326\) | −342.269 | + | 139.029i | −1.04990 | + | 0.426470i | ||||
\(327\) | 9.55047 | + | 28.7928i | 0.0292063 | + | 0.0880512i | ||||
\(328\) | 12.9531 | − | 49.4474i | 0.0394913 | − | 0.150754i | ||||
\(329\) | −67.4931 | − | 49.0366i | −0.205146 | − | 0.149047i | ||||
\(330\) | −65.5374 | + | 15.1698i | −0.198598 | + | 0.0459692i | ||||
\(331\) | 145.523 | + | 200.295i | 0.439647 | + | 0.605122i | 0.970134 | − | 0.242571i | \(-0.0779908\pi\) |
−0.530487 | + | 0.847693i | \(0.677991\pi\) | |||||||
\(332\) | 263.182 | + | 3.61141i | 0.792717 | + | 0.0108777i | ||||
\(333\) | 63.6519 | − | 128.796i | 0.191147 | − | 0.386774i | ||||
\(334\) | −258.715 | − | 307.159i | −0.774596 | − | 0.919637i | ||||
\(335\) | −575.012 | − | 298.374i | −1.71645 | − | 0.890668i | ||||
\(336\) | −74.4180 | − | 39.9391i | −0.221482 | − | 0.118866i | ||||
\(337\) | 223.693 | − | 439.023i | 0.663779 | − | 1.30274i | −0.276067 | − | 0.961138i | \(-0.589031\pi\) |
0.939845 | − | 0.341600i | \(-0.110969\pi\) | |||||||
\(338\) | −7.16703 | + | 83.7185i | −0.0212042 | + | 0.247688i | ||||
\(339\) | −235.142 | − | 118.005i | −0.693635 | − | 0.348096i | ||||
\(340\) | 135.981 | − | 390.244i | 0.399944 | − | 1.14778i | ||||
\(341\) | −62.0029 | + | 20.1460i | −0.181827 | + | 0.0590791i | ||||
\(342\) | −285.563 | − | 20.9304i | −0.834980 | − | 0.0612001i | ||||
\(343\) | −118.078 | − | 118.078i | −0.344251 | − | 0.344251i | ||||
\(344\) | 76.2324 | − | 16.6503i | 0.221606 | − | 0.0484019i | ||||
\(345\) | −4.02271 | − | 25.6133i | −0.0116600 | − | 0.0742413i | ||||
\(346\) | 191.094 | + | 47.2666i | 0.552296 | + | 0.136609i | ||||
\(347\) | 16.4734 | + | 104.009i | 0.0474738 | + | 0.299738i | 0.999989 | − | 0.00475430i | \(-0.00151335\pi\) |
−0.952515 | + | 0.304492i | \(0.901513\pi\) | |||||||
\(348\) | −402.790 | − | 209.104i | −1.15744 | − | 0.600875i | ||||
\(349\) | − | 228.374i | − | 0.654368i | −0.944961 | − | 0.327184i | \(-0.893900\pi\) | ||
0.944961 | − | 0.327184i | \(-0.106100\pi\) | |||||||
\(350\) | −73.9983 | − | 47.5840i | −0.211424 | − | 0.135954i | ||||
\(351\) | 133.132 | − | 273.587i | 0.379294 | − | 0.779450i | ||||
\(352\) | −48.4449 | + | 52.9324i | −0.137628 | + | 0.150376i | ||||
\(353\) | −45.1016 | − | 284.760i | −0.127767 | − | 0.806687i | −0.965461 | − | 0.260548i | \(-0.916097\pi\) |
0.837694 | − | 0.546139i | \(-0.183903\pi\) | |||||||
\(354\) | 194.195 | − | 467.846i | 0.548574 | − | 1.32160i | ||||
\(355\) | −203.668 | + | 145.679i | −0.573714 | + | 0.410363i | ||||
\(356\) | 343.873 | + | 59.3117i | 0.965935 | + | 0.166606i | ||||
\(357\) | 87.8468 | − | 64.6492i | 0.246069 | − | 0.181090i | ||||
\(358\) | 338.717 | − | 78.8650i | 0.946136 | − | 0.220293i | ||||
\(359\) | 320.404 | − | 104.105i | 0.892489 | − | 0.289987i | 0.173356 | − | 0.984859i | \(-0.444539\pi\) |
0.719133 | + | 0.694872i | \(0.244539\pi\) | |||||||
\(360\) | 229.458 | + | 277.397i | 0.637384 | + | 0.770546i | ||||
\(361\) | −33.3620 | + | 102.678i | −0.0924155 | + | 0.284426i | ||||
\(362\) | 215.739 | + | 18.4691i | 0.595964 | + | 0.0510197i | ||||
\(363\) | 202.774 | − | 282.716i | 0.558606 | − | 0.778831i | ||||
\(364\) | 35.0341 | + | 71.1552i | 0.0962474 | + | 0.195481i | ||||
\(365\) | 38.5261 | − | 5.80946i | 0.105551 | − | 0.0159163i | ||||
\(366\) | 253.633 | + | 414.582i | 0.692986 | + | 1.13274i | ||||
\(367\) | 82.0440 | − | 518.005i | 0.223553 | − | 1.41146i | −0.579219 | − | 0.815172i | \(-0.696642\pi\) |
0.802772 | − | 0.596287i | \(-0.203358\pi\) | |||||||
\(368\) | −19.0116 | − | 20.0848i | −0.0516619 | − | 0.0545781i | ||||
\(369\) | −54.4692 | + | 18.4380i | −0.147613 | + | 0.0499673i | ||||
\(370\) | −10.2515 | − | 159.299i | −0.0277067 | − | 0.430539i | ||||
\(371\) | −14.8395 | − | 10.7815i | −0.0399986 | − | 0.0290607i | ||||
\(372\) | 244.818 | + | 248.570i | 0.658114 | + | 0.668198i | ||||
\(373\) | 203.742 | + | 399.867i | 0.546226 | + | 1.07203i | 0.984858 | + | 0.173362i | \(0.0554632\pi\) |
−0.438632 | + | 0.898667i | \(0.644537\pi\) | |||||||
\(374\) | −34.8736 | − | 85.8535i | −0.0932449 | − | 0.229555i | ||||
\(375\) | 215.499 | + | 306.896i | 0.574664 | + | 0.818389i | ||||
\(376\) | 347.373 | + | 152.336i | 0.923865 | + | 0.405149i | ||||
\(377\) | 193.483 | + | 379.731i | 0.513217 | + | 1.00724i | ||||
\(378\) | 8.54298 | + | 94.6306i | 0.0226005 | + | 0.250345i | ||||
\(379\) | −152.264 | − | 110.627i | −0.401753 | − | 0.291891i | 0.368502 | − | 0.929627i | \(-0.379871\pi\) |
−0.770255 | + | 0.637736i | \(0.779871\pi\) | |||||||
\(380\) | −286.457 | + | 138.411i | −0.753835 | + | 0.364240i | ||||
\(381\) | −289.599 | + | 149.797i | −0.760103 | + | 0.393168i | ||||
\(382\) | −223.027 | + | 528.157i | −0.583840 | + | 1.38261i | ||||
\(383\) | −10.2927 | + | 64.9856i | −0.0268739 | + | 0.169675i | −0.997475 | − | 0.0710187i | \(-0.977375\pi\) |
0.970601 | + | 0.240694i | \(0.0773750\pi\) | |||||||
\(384\) | 369.307 | + | 105.207i | 0.961736 | + | 0.273977i | ||||
\(385\) | −19.5069 | + | 2.94151i | −0.0506673 | + | 0.00764028i | ||||
\(386\) | −517.879 | + | 37.1849i | −1.34166 | + | 0.0963338i | ||||
\(387\) | −62.8270 | − | 61.3080i | −0.162344 | − | 0.158419i | ||||
\(388\) | −447.071 | + | 138.510i | −1.15224 | + | 0.356984i | ||||
\(389\) | −114.904 | + | 353.638i | −0.295383 | + | 0.909095i | 0.687710 | + | 0.725986i | \(0.258616\pi\) |
−0.983093 | + | 0.183109i | \(0.941384\pi\) | |||||||
\(390\) | −23.7745 | − | 337.229i | −0.0609602 | − | 0.864691i | ||||
\(391\) | 33.9673 | − | 11.0366i | 0.0868728 | − | 0.0282267i | ||||
\(392\) | 309.102 | + | 198.282i | 0.788524 | + | 0.505821i | ||||
\(393\) | −357.887 | − | 486.305i | −0.910654 | − | 1.23742i | ||||
\(394\) | 426.602 | + | 265.465i | 1.08275 | + | 0.673769i | ||||
\(395\) | −154.527 | + | 110.530i | −0.391208 | + | 0.279822i | ||||
\(396\) | 79.7115 | + | 12.7464i | 0.201292 | + | 0.0321880i | ||||
\(397\) | 6.33024 | + | 39.9676i | 0.0159452 | + | 0.100674i | 0.994377 | − | 0.105894i | \(-0.0337705\pi\) |
−0.978432 | + | 0.206568i | \(0.933770\pi\) | |||||||
\(398\) | 600.763 | + | 520.270i | 1.50945 | + | 1.30721i | ||||
\(399\) | −83.0132 | − | 12.6279i | −0.208053 | − | 0.0316488i | ||||
\(400\) | 374.859 | + | 139.572i | 0.937148 | + | 0.348931i | ||||
\(401\) | − | 265.592i | − | 0.662323i | −0.943574 | − | 0.331162i | \(-0.892559\pi\) | ||
0.943574 | − | 0.331162i | \(-0.107441\pi\) | |||||||
\(402\) | 504.428 | + | 591.499i | 1.25480 | + | 1.47139i | ||||
\(403\) | −51.2529 | − | 323.598i | −0.127178 | − | 0.802972i | ||||
\(404\) | 680.947 | − | 98.2938i | 1.68551 | − | 0.243301i | ||||
\(405\) | 118.564 | − | 387.257i | 0.292750 | − | 0.956189i | ||||
\(406\) | −112.998 | − | 70.3161i | −0.278320 | − | 0.173192i | ||||
\(407\) | −25.3103 | − | 25.3103i | −0.0621875 | − | 0.0621875i | ||||
\(408\) | −327.487 | + | 372.394i | −0.802663 | + | 0.912729i | ||||
\(409\) | −25.7497 | + | 8.36658i | −0.0629577 | + | 0.0204562i | −0.340327 | − | 0.940307i | \(-0.610538\pi\) |
0.277369 | + | 0.960764i | \(0.410538\pi\) | |||||||
\(410\) | −42.1856 | + | 47.9887i | −0.102892 | + | 0.117046i | ||||
\(411\) | −253.187 | + | 504.514i | −0.616026 | + | 1.22753i | ||||
\(412\) | 447.442 | − | 138.625i | 1.08602 | − | 0.336468i | ||||
\(413\) | 67.4399 | − | 132.358i | 0.163293 | − | 0.320480i | ||||
\(414\) | −7.10038 | + | 30.2916i | −0.0171507 | + | 0.0731682i | ||||
\(415\) | −292.033 | − | 151.536i | −0.703694 | − | 0.365147i | ||||
\(416\) | −224.652 | − | 282.076i | −0.540028 | − | 0.678068i | ||||
\(417\) | 617.003 | + | 196.311i | 1.47962 | + | 0.470771i | ||||
\(418\) | −27.7516 | + | 65.7194i | −0.0663914 | + | 0.157223i | ||||
\(419\) | −40.4076 | − | 55.6163i | −0.0964382 | − | 0.132736i | 0.758071 | − | 0.652172i | \(-0.226142\pi\) |
−0.854509 | + | 0.519436i | \(0.826142\pi\) | |||||||
\(420\) | 60.7645 | + | 86.3323i | 0.144677 | + | 0.205553i | ||||
\(421\) | 190.896 | + | 138.694i | 0.453435 | + | 0.329440i | 0.790951 | − | 0.611880i | \(-0.209586\pi\) |
−0.337515 | + | 0.941320i | \(0.609586\pi\) | |||||||
\(422\) | −372.239 | − | 616.899i | −0.882082 | − | 1.46185i | ||||
\(423\) | −71.9058 | − | 420.619i | −0.169990 | − | 0.994372i | ||||
\(424\) | 76.3757 | + | 33.4936i | 0.180131 | + | 0.0789944i | ||||
\(425\) | −370.647 | + | 359.814i | −0.872110 | + | 0.846622i | ||||
\(426\) | 292.237 | − | 69.9303i | 0.686002 | − | 0.164156i | ||||
\(427\) | 64.7057 | + | 126.992i | 0.151536 | + | 0.297406i | ||||
\(428\) | 278.081 | − | 371.906i | 0.649722 | − | 0.868939i | ||||
\(429\) | −53.9298 | − | 53.2739i | −0.125710 | − | 0.124182i | ||||
\(430\) | −94.5073 | − | 24.1210i | −0.219784 | − | 0.0560954i | ||||
\(431\) | −514.701 | + | 373.952i | −1.19420 | + | 0.867639i | −0.993702 | − | 0.112055i | \(-0.964257\pi\) |
−0.200501 | + | 0.979694i | \(0.564257\pi\) | |||||||
\(432\) | −129.756 | − | 412.053i | −0.300361 | − | 0.953826i | ||||
\(433\) | −67.2655 | + | 424.698i | −0.155348 | + | 0.980826i | 0.779661 | + | 0.626202i | \(0.215391\pi\) |
−0.935009 | + | 0.354625i | \(0.884609\pi\) | |||||||
\(434\) | 65.9123 | + | 78.2542i | 0.151872 | + | 0.180309i | ||||
\(435\) | 332.850 | + | 459.380i | 0.765173 | + | 1.05605i | ||||
\(436\) | −17.8664 | − | 36.2872i | −0.0409780 | − | 0.0832276i | ||||
\(437\) | −24.4985 | − | 12.4826i | −0.0560606 | − | 0.0285643i | ||||
\(438\) | −45.4540 | − | 10.9483i | −0.103776 | − | 0.0249960i | ||||
\(439\) | −265.099 | + | 815.891i | −0.603870 | + | 1.85852i | −0.0994930 | + | 0.995038i | \(0.531722\pi\) |
−0.504377 | + | 0.863483i | \(0.668278\pi\) | |||||||
\(440\) | 83.7943 | − | 31.9911i | 0.190442 | − | 0.0727072i | ||||
\(441\) | −5.05499 | − | 413.105i | −0.0114626 | − | 0.936746i | ||||
\(442\) | 453.562 | − | 105.605i | 1.02616 | − | 0.238925i | ||||
\(443\) | −398.740 | + | 398.740i | −0.900091 | + | 0.900091i | −0.995444 | − | 0.0953528i | \(-0.969602\pi\) |
0.0953528 | + | 0.995444i | \(0.469602\pi\) | |||||||
\(444\) | −60.5771 | + | 181.724i | −0.136435 | + | 0.409288i | ||||
\(445\) | −350.973 | − | 258.994i | −0.788704 | − | 0.582010i | ||||
\(446\) | 669.886 | + | 165.694i | 1.50199 | + | 0.371511i | ||||
\(447\) | −1.53832 | − | 251.439i | −0.00344143 | − | 0.562504i | ||||
\(448\) | 105.577 | + | 39.1765i | 0.235662 | + | 0.0874476i | ||||
\(449\) | 648.932 | 1.44528 | 0.722642 | − | 0.691223i | \(-0.242928\pi\) | ||||
0.722642 | + | 0.691223i | \(0.242928\pi\) | |||||||
\(450\) | −100.909 | − | 438.540i | −0.224243 | − | 0.974533i | ||||
\(451\) | 14.3274i | 0.0317680i | ||||||||
\(452\) | 332.101 | + | 112.967i | 0.734736 | + | 0.249927i | ||||
\(453\) | 460.678 | − | 2.81846i | 1.01695 | − | 0.00622176i | ||||
\(454\) | −276.865 | − | 68.4817i | −0.609835 | − | 0.150841i | ||||
\(455\) | 0.735039 | − | 99.1377i | 0.00161547 | − | 0.217885i | ||||
\(456\) | 380.989 | − | 24.4457i | 0.835502 | − | 0.0536089i | ||||
\(457\) | −117.480 | − | 117.480i | −0.257067 | − | 0.257067i | 0.566793 | − | 0.823860i | \(-0.308184\pi\) |
−0.823860 | + | 0.566793i | \(0.808184\pi\) | |||||||
\(458\) | −822.772 | + | 191.570i | −1.79645 | + | 0.418275i | ||||
\(459\) | 552.537 | + | 77.1465i | 1.20378 | + | 0.168075i | ||||
\(460\) | 9.98538 | + | 33.0961i | 0.0217074 | + | 0.0719480i | ||||
\(461\) | −45.3229 | − | 14.7263i | −0.0983142 | − | 0.0319442i | 0.259447 | − | 0.965757i | \(-0.416460\pi\) |
−0.357761 | + | 0.933813i | \(0.616460\pi\) | |||||||
\(462\) | 23.0148 | + | 5.54343i | 0.0498155 | + | 0.0119988i | ||||
\(463\) | −125.306 | + | 245.927i | −0.270640 | + | 0.531160i | −0.985825 | − | 0.167774i | \(-0.946342\pi\) |
0.715186 | + | 0.698934i | \(0.246342\pi\) | |||||||
\(464\) | 570.147 | + | 202.710i | 1.22876 | + | 0.436875i | ||||
\(465\) | −134.228 | − | 414.940i | −0.288662 | − | 0.892343i | ||||
\(466\) | −515.296 | − | 611.784i | −1.10578 | − | 1.31284i | ||||
\(467\) | −607.314 | − | 96.1891i | −1.30046 | − | 0.205972i | −0.532477 | − | 0.846444i | \(-0.678739\pi\) |
−0.767982 | + | 0.640472i | \(0.778739\pi\) | |||||||
\(468\) | −125.935 | + | 385.638i | −0.269092 | + | 0.824012i | ||||
\(469\) | 133.999 | + | 184.433i | 0.285712 | + | 0.393248i | ||||
\(470\) | −302.748 | − | 364.894i | −0.644145 | − | 0.776369i | ||||
\(471\) | −232.636 | + | 235.500i | −0.493920 | + | 0.500001i | ||||
\(472\) | −171.151 | + | 653.353i | −0.362608 | + | 1.38422i | ||||
\(473\) | −19.4873 | + | 9.92926i | −0.0411993 | + | 0.0209921i | ||||
\(474\) | 221.726 | − | 53.0575i | 0.467776 | − | 0.111936i | ||||
\(475\) | 397.636 | + | 5.89672i | 0.837128 | + | 0.0124141i | ||||
\(476\) | −104.235 | + | 101.413i | −0.218981 | + | 0.213052i | ||||
\(477\) | −15.8097 | − | 92.4801i | −0.0331440 | − | 0.193879i | ||||
\(478\) | −59.8224 | − | 99.1417i | −0.125151 | − | 0.207409i | ||||
\(479\) | −324.839 | + | 447.103i | −0.678161 | + | 0.933409i | −0.999910 | − | 0.0134161i | \(-0.995729\pi\) |
0.321749 | + | 0.946825i | \(0.395729\pi\) | |||||||
\(480\) | −353.668 | − | 324.528i | −0.736809 | − | 0.676101i | ||||
\(481\) | 145.529 | − | 105.733i | 0.302555 | − | 0.219819i | ||||
\(482\) | 306.103 | − | 724.892i | 0.635069 | − | 1.50393i | ||||
\(483\) | −2.76634 | + | 8.69454i | −0.00572740 | + | 0.0180011i | ||||
\(484\) | −216.252 | + | 410.398i | −0.446802 | + | 0.847931i | ||||
\(485\) | 577.147 | + | 95.8027i | 1.18999 | + | 0.197531i | ||||
\(486\) | −306.774 | + | 376.942i | −0.631223 | + | 0.775601i | ||||
\(487\) | −173.031 | − | 88.1638i | −0.355300 | − | 0.181035i | 0.267225 | − | 0.963634i | \(-0.413893\pi\) |
−0.622525 | + | 0.782600i | \(0.713893\pi\) | |||||||
\(488\) | −410.623 | − | 501.312i | −0.841440 | − | 1.02728i | ||||
\(489\) | −495.274 | − | 248.550i | −1.01283 | − | 0.508282i | ||||
\(490\) | −234.236 | − | 394.780i | −0.478033 | − | 0.805673i | ||||
\(491\) | −65.5445 | − | 201.725i | −0.133492 | − | 0.410845i | 0.861861 | − | 0.507145i | \(-0.169299\pi\) |
−0.995352 | + | 0.0962999i | \(0.969299\pi\) | |||||||
\(492\) | 68.5794 | − | 34.2887i | 0.139389 | − | 0.0696925i | ||||
\(493\) | −552.573 | + | 552.573i | −1.12084 | + | 1.12084i | ||||
\(494\) | −304.390 | − | 189.415i | −0.616173 | − | 0.383431i | ||||
\(495\) | −81.9190 | − | 58.9163i | −0.165493 | − | 0.119023i | ||||
\(496\) | −368.698 | − | 283.652i | −0.743342 | − | 0.571879i | ||||
\(497\) | 87.0352 | − | 13.7850i | 0.175121 | − | 0.0277364i | ||||
\(498\) | 256.186 | + | 300.406i | 0.514429 | + | 0.603225i | ||||
\(499\) | 503.259 | 1.00854 | 0.504268 | − | 0.863547i | \(-0.331762\pi\) | ||||
0.504268 | + | 0.863547i | \(0.331762\pi\) | |||||||
\(500\) | −340.612 | − | 366.037i | −0.681225 | − | 0.732074i | ||||
\(501\) | 90.5935 | − | 595.544i | 0.180825 | − | 1.18871i | ||||
\(502\) | −37.4478 | − | 32.4304i | −0.0745971 | − | 0.0646023i | ||||
\(503\) | −725.811 | + | 114.957i | −1.44296 | + | 0.228543i | −0.828317 | − | 0.560259i | \(-0.810701\pi\) |
−0.614647 | + | 0.788802i | \(0.710701\pi\) | |||||||
\(504\) | −28.5454 | − | 123.429i | −0.0566377 | − | 0.244899i | ||||
\(505\) | −815.922 | − | 271.813i | −1.61569 | − | 0.538244i | ||||
\(506\) | 6.58145 | + | 4.09549i | 0.0130068 | + | 0.00809385i | ||||
\(507\) | −101.511 | + | 74.7051i | −0.200219 | + | 0.147347i | ||||
\(508\) | 355.177 | − | 250.678i | 0.699167 | − | 0.493461i | ||||
\(509\) | 254.861 | + | 784.381i | 0.500709 | + | 1.54102i | 0.807867 | + | 0.589365i | \(0.200622\pi\) |
−0.307159 | + | 0.951658i | \(0.599378\pi\) | |||||||
\(510\) | 574.615 | − | 232.540i | 1.12670 | − | 0.455961i | ||||
\(511\) | −13.0399 | − | 4.23691i | −0.0255184 | − | 0.00829142i | ||||
\(512\) | −506.970 | − | 71.5908i | −0.990176 | − | 0.139826i | ||||
\(513\) | −258.785 | − | 342.776i | −0.504454 | − | 0.668180i | ||||
\(514\) | −667.724 | + | 47.9440i | −1.29907 | + | 0.0932763i | ||||
\(515\) | −577.626 | − | 95.8823i | −1.12160 | − | 0.186179i | ||||
\(516\) | 94.1650 | + | 69.5149i | 0.182490 | + | 0.134719i | ||||
\(517\) | −105.008 | − | 16.6316i | −0.203110 | − | 0.0321695i | ||||
\(518\) | −21.8527 | + | 51.7501i | −0.0421867 | + | 0.0999036i | ||||
\(519\) | 135.661 | + | 262.271i | 0.261390 | + | 0.505340i | ||||
\(520\) | 92.9164 | + | 441.075i | 0.178685 | + | 0.848220i | ||||
\(521\) | −545.869 | + | 751.324i | −1.04773 | + | 1.44208i | −0.156975 | + | 0.987603i | \(0.550174\pi\) |
−0.890758 | + | 0.454478i | \(0.849826\pi\) | |||||||
\(522\) | −162.474 | − | 661.076i | −0.311252 | − | 1.26643i | ||||
\(523\) | −8.77991 | + | 4.47359i | −0.0167876 | + | 0.00855371i | −0.462364 | − | 0.886690i | \(-0.652999\pi\) |
0.445577 | + | 0.895244i | \(0.352999\pi\) | |||||||
\(524\) | 561.404 | + | 577.026i | 1.07138 | + | 1.10119i | ||||
\(525\) | −19.5079 | − | 130.516i | −0.0371579 | − | 0.248602i | ||||
\(526\) | −149.863 | − | 368.940i | −0.284911 | − | 0.701408i | ||||
\(527\) | 535.273 | − | 272.735i | 1.01570 | − | 0.517524i | ||||
\(528\) | −107.608 | − | 2.29503i | −0.203803 | − | 0.00434665i | ||||
\(529\) | 309.182 | − | 425.553i | 0.584466 | − | 0.804448i | ||||
\(530\) | −66.5642 | − | 80.2279i | −0.125593 | − | 0.151373i | ||||
\(531\) | 719.708 | − | 243.623i | 1.35538 | − | 0.458800i | ||||
\(532\) | 111.947 | + | 1.53615i | 0.210427 | + | 0.00288750i | ||||
\(533\) | −71.1158 | − | 11.2636i | −0.133425 | − | 0.0211325i | ||||
\(534\) | 273.158 | + | 446.497i | 0.511531 | + | 0.836136i | ||||
\(535\) | −519.140 | + | 259.685i | −0.970355 | + | 0.485392i | ||||
\(536\) | −774.144 | − | 689.235i | −1.44430 | − | 1.28589i | ||||
\(537\) | 423.904 | + | 304.039i | 0.789393 | + | 0.566182i | ||||
\(538\) | 242.933 | + | 20.7972i | 0.451549 | + | 0.0386565i | ||||
\(539\) | −97.8944 | − | 31.8078i | −0.181622 | − | 0.0590127i | ||||
\(540\) | −85.9578 | + | 533.115i | −0.159181 | + | 0.987249i | ||||
\(541\) | −85.5567 | − | 263.316i | −0.158145 | − | 0.486722i | 0.840321 | − | 0.542090i | \(-0.182367\pi\) |
−0.998466 | + | 0.0553682i | \(0.982367\pi\) | |||||||
\(542\) | 118.895 | − | 27.6828i | 0.219363 | − | 0.0510752i | ||||
\(543\) | 192.512 | + | 261.590i | 0.354534 | + | 0.481749i | ||||
\(544\) | 364.614 | − | 551.594i | 0.670246 | − | 1.01396i | ||||
\(545\) | −0.374850 | + | 50.5575i | −0.000687798 | + | 0.0927661i | ||||
\(546\) | −45.6089 | + | 109.879i | −0.0835328 | + | 0.201243i | ||||
\(547\) | 582.728 | − | 92.2950i | 1.06532 | − | 0.168729i | 0.400922 | − | 0.916112i | \(-0.368690\pi\) |
0.664394 | + | 0.747383i | \(0.268690\pi\) | |||||||
\(548\) | 242.378 | − | 712.544i | 0.442296 | − | 1.30026i | ||||
\(549\) | −216.779 | + | 696.042i | −0.394861 | + | 1.26784i | ||||
\(550\) | −111.554 | − | 11.2185i | −0.202826 | − | 0.0203973i | ||||
\(551\) | 601.600 | 1.09183 | ||||||||
\(552\) | 3.85257 | − | 41.3043i | 0.00697928 | − | 0.0748266i | ||||
\(553\) | 66.0353 | − | 10.4590i | 0.119413 | − | 0.0189131i | ||||
\(554\) | −219.958 | − | 54.4060i | −0.397037 | − | 0.0982058i | ||||
\(555\) | 169.531 | − | 169.092i | 0.305462 | − | 0.304671i | ||||
\(556\) | −850.746 | − | 146.738i | −1.53012 | − | 0.263917i | ||||
\(557\) | 30.7563 | − | 30.7563i | 0.0552178 | − | 0.0552178i | −0.678959 | − | 0.734176i | \(-0.737568\pi\) |
0.734176 | + | 0.678959i | \(0.237568\pi\) | |||||||
\(558\) | −38.2552 | + | 521.932i | −0.0685577 | + | 0.935362i | ||||
\(559\) | −33.9651 | − | 104.534i | −0.0607604 | − | 0.187001i | ||||
\(560\) | −96.0056 | − | 102.943i | −0.171439 | − | 0.183827i | ||||
\(561\) | 62.3454 | − | 124.233i | 0.111133 | − | 0.221449i | ||||
\(562\) | 3.58668 | − | 41.8962i | 0.00638199 | − | 0.0745484i | ||||
\(563\) | 700.135 | + | 356.736i | 1.24358 | + | 0.633635i | 0.946957 | − | 0.321360i | \(-0.104140\pi\) |
0.296622 | + | 0.954995i | \(0.404140\pi\) | |||||||
\(564\) | 171.700 | + | 542.436i | 0.304432 | + | 0.961765i | ||||
\(565\) | −307.749 | − | 312.346i | −0.544688 | − | 0.552825i | ||||
\(566\) | 104.861 | + | 124.496i | 0.185267 | + | 0.219958i | ||||
\(567\) | −98.2829 | + | 103.215i | −0.173338 | + | 0.182037i | ||||
\(568\) | −373.229 | + | 145.672i | −0.657093 | + | 0.256464i | ||||
\(569\) | 25.3790 | − | 18.4389i | 0.0446028 | − | 0.0324059i | −0.565260 | − | 0.824912i | \(-0.691224\pi\) |
0.609863 | + | 0.792507i | \(0.291224\pi\) | |||||||
\(570\) | −439.385 | − | 186.213i | −0.770851 | − | 0.326689i | ||||
\(571\) | 308.264 | − | 424.288i | 0.539866 | − | 0.743062i | −0.448728 | − | 0.893669i | \(-0.648123\pi\) |
0.988594 | + | 0.150606i | \(0.0481226\pi\) | |||||||
\(572\) | 80.9482 | + | 60.5265i | 0.141518 | + | 0.105816i | ||||
\(573\) | −816.242 | + | 270.745i | −1.42451 | + | 0.472505i | ||||
\(574\) | 20.8321 | − | 8.46196i | 0.0362928 | − | 0.0147421i | ||||
\(575\) | 7.39196 | − | 42.5751i | 0.0128556 | − | 0.0740436i | ||||
\(576\) | 246.545 | + | 520.569i | 0.428029 | + | 0.903765i | ||||
\(577\) | −554.493 | + | 282.528i | −0.960993 | + | 0.489650i | −0.862816 | − | 0.505519i | \(-0.831301\pi\) |
−0.0981770 | + | 0.995169i | \(0.531301\pi\) | |||||||
\(578\) | 142.542 | + | 236.231i | 0.246613 | + | 0.408704i | ||||
\(579\) | −554.067 | − | 547.328i | −0.956937 | − | 0.945299i | ||||
\(580\) | −523.424 | − | 546.031i | −0.902456 | − | 0.941433i | ||||
\(581\) | 68.0543 | + | 93.6688i | 0.117133 | + | 0.161220i | ||||
\(582\) | −598.326 | − | 367.266i | −1.02805 | − | 0.631042i | ||||
\(583\) | −23.0878 | − | 3.65674i | −0.0396016 | − | 0.00627228i | ||||
\(584\) | 62.0326 | + | 6.16899i | 0.106220 | + | 0.0105633i | ||||
\(585\) | 356.840 | − | 360.298i | 0.609984 | − | 0.615895i | ||||
\(586\) | 41.8204 | + | 582.439i | 0.0713659 | + | 0.993923i | ||||
\(587\) | 209.177 | − | 410.533i | 0.356349 | − | 0.699375i | −0.641344 | − | 0.767253i | \(-0.721623\pi\) |
0.997694 | + | 0.0678782i | \(0.0216229\pi\) | |||||||
\(588\) | 82.0325 | + | 544.706i | 0.139511 | + | 0.926370i | ||||
\(589\) | −439.850 | − | 142.916i | −0.746774 | − | 0.242642i | ||||
\(590\) | 557.403 | − | 634.079i | 0.944751 | − | 1.07471i | ||||
\(591\) | 122.454 | + | 743.668i | 0.207198 | + | 1.25832i | ||||
\(592\) | 46.8611 | − | 251.071i | 0.0791573 | − | 0.424106i | ||||
\(593\) | 352.104 | + | 352.104i | 0.593767 | + | 0.593767i | 0.938647 | − | 0.344880i | \(-0.112080\pi\) |
−0.344880 | + | 0.938647i | \(0.612080\pi\) | |||||||
\(594\) | 64.4498 | + | 102.509i | 0.108501 | + | 0.172574i | ||||
\(595\) | 173.300 | − | 54.8915i | 0.291261 | − | 0.0922547i | ||||
\(596\) | 47.8977 | + | 331.819i | 0.0803652 | + | 0.556744i | ||||
\(597\) | 7.29318 | + | 1192.07i | 0.0122164 | + | 1.99677i | ||||
\(598\) | −25.5026 | + | 29.4482i | −0.0426465 | + | 0.0492445i | ||||
\(599\) | 18.0343i | 0.0301074i | 0.999887 | + | 0.0150537i | \(0.00479193\pi\) | ||||
−0.999887 | + | 0.0150537i | \(0.995208\pi\) | |||||||
\(600\) | 213.276 | + | 560.815i | 0.355461 | + | 0.934691i | ||||
\(601\) | 925.286 | 1.53958 | 0.769788 | − | 0.638299i | \(-0.220362\pi\) | ||||
0.769788 | + | 0.638299i | \(0.220362\pi\) | |||||||
\(602\) | 25.9467 | + | 22.4703i | 0.0431009 | + | 0.0373260i | ||||
\(603\) | −168.308 | + | 1153.86i | −0.279117 | + | 1.91353i | ||||
\(604\) | −607.948 | + | 87.7565i | −1.00654 | + | 0.145292i | ||||
\(605\) | 471.630 | − | 337.345i | 0.779554 | − | 0.557596i | ||||
\(606\) | 784.247 | + | 670.818i | 1.29414 | + | 1.10696i | ||||
\(607\) | −576.213 | + | 576.213i | −0.949281 | + | 0.949281i | −0.998774 | − | 0.0494939i | \(-0.984239\pi\) |
0.0494939 | + | 0.998774i | \(0.484239\pi\) | |||||||
\(608\) | −498.749 | + | 101.785i | −0.820312 | + | 0.167410i | ||||
\(609\) | −32.4355 | − | 196.982i | −0.0532602 | − | 0.323452i | ||||
\(610\) | 177.833 | + | 790.258i | 0.291530 | + | 1.29551i | ||||
\(611\) | 165.107 | − | 508.146i | 0.270224 | − | 0.831663i | ||||
\(612\) | −743.861 | − | 1.10485i | −1.21546 | − | 0.00180531i | ||||
\(613\) | 9.22632 | + | 4.70105i | 0.0150511 | + | 0.00766892i | 0.461500 | − | 0.887140i | \(-0.347311\pi\) |
−0.446449 | + | 0.894809i | \(0.647311\pi\) | |||||||
\(614\) | −653.289 | + | 46.9076i | −1.06399 | + | 0.0763967i | ||||
\(615\) | −95.8420 | − | 0.124231i | −0.155841 | − | 0.000202001i | ||||
\(616\) | −31.4090 | − | 3.12355i | −0.0509886 | − | 0.00507070i | ||||
\(617\) | 9.68376 | − | 61.1408i | 0.0156949 | − | 0.0990937i | −0.978597 | − | 0.205784i | \(-0.934025\pi\) |
0.994292 | + | 0.106691i | \(0.0340254\pi\) | |||||||
\(618\) | 598.823 | + | 367.571i | 0.968969 | + | 0.594775i | ||||
\(619\) | 718.342 | − | 521.906i | 1.16049 | − | 0.843144i | 0.170649 | − | 0.985332i | \(-0.445414\pi\) |
0.989840 | + | 0.142188i | \(0.0454136\pi\) | |||||||
\(620\) | 252.978 | + | 523.566i | 0.408029 | + | 0.844461i | ||||
\(621\) | −41.1865 | + | 21.9469i | −0.0663229 | + | 0.0353412i | ||||
\(622\) | 233.678 | − | 141.002i | 0.375688 | − | 0.226691i | ||||
\(623\) | 69.6869 | + | 136.768i | 0.111857 | + | 0.219532i | ||||
\(624\) | 95.9888 | − | 532.321i | 0.153828 | − | 0.853079i | ||||
\(625\) | 175.425 | + | 599.876i | 0.280680 | + | 0.959801i | ||||
\(626\) | −46.7024 | − | 114.974i | −0.0746045 | − | 0.183665i | ||||
\(627\) | −101.566 | + | 33.6892i | −0.161988 | + | 0.0537308i | ||||
\(628\) | 264.307 | − | 353.484i | 0.420871 | − | 0.562873i | ||||
\(629\) | 266.845 | + | 193.874i | 0.424237 | + | 0.308226i | ||||
\(630\) | −37.2820 | + | 153.908i | −0.0591778 | + | 0.244298i | ||||
\(631\) | −196.363 | − | 270.271i | −0.311194 | − | 0.428322i | 0.624559 | − | 0.780977i | \(-0.285279\pi\) |
−0.935753 | + | 0.352656i | \(0.885279\pi\) | |||||||
\(632\) | −283.176 | + | 110.524i | −0.448064 | + | 0.174880i | ||||
\(633\) | 327.677 | − | 1029.88i | 0.517658 | − | 1.62699i | ||||
\(634\) | −545.520 | + | 459.483i | −0.860442 | + | 0.724737i | ||||
\(635\) | −537.337 | + | 81.0267i | −0.846200 | + | 0.127601i | ||||
\(636\) | 37.7510 | + | 119.263i | 0.0593569 | + | 0.187521i | ||||
\(637\) | 234.843 | − | 460.906i | 0.368671 | − | 0.723557i | ||||
\(638\) | −168.990 | − | 14.4670i | −0.264874 | − | 0.0226755i | ||||
\(639\) | 367.863 | + | 260.451i | 0.575686 | + | 0.407592i | ||||
\(640\) | 526.322 | + | 364.122i | 0.822378 | + | 0.568941i | ||||
\(641\) | −972.535 | + | 315.996i | −1.51722 | + | 0.492973i | −0.944983 | − | 0.327118i | \(-0.893923\pi\) |
−0.572232 | + | 0.820091i | \(0.693923\pi\) | |||||||
\(642\) | 694.454 | − | 54.1358i | 1.08170 | − | 0.0843237i | ||||
\(643\) | −41.5298 | − | 41.5298i | −0.0645876 | − | 0.0645876i | 0.674075 | − | 0.738663i | \(-0.264542\pi\) |
−0.738663 | + | 0.674075i | \(0.764542\pi\) | |||||||
\(644\) | 2.06777 | − | 11.9883i | 0.00321082 | − | 0.0186154i | ||||
\(645\) | −66.2522 | − | 130.445i | −0.102717 | − | 0.202240i | ||||
\(646\) | 157.843 | − | 638.143i | 0.244339 | − | 0.987838i | ||||
\(647\) | −68.9863 | − | 435.562i | −0.106625 | − | 0.673203i | −0.981875 | − | 0.189532i | \(-0.939303\pi\) |
0.875250 | − | 0.483671i | \(-0.160697\pi\) | |||||||
\(648\) | 336.427 | − | 553.824i | 0.519178 | − | 0.854666i | ||||
\(649\) | − | 189.309i | − | 0.291693i | ||||||
\(650\) | 143.384 | − | 544.895i | 0.220591 | − | 0.838299i | ||||
\(651\) | −23.0803 | + | 151.726i | −0.0354537 | + | 0.233065i | ||||
\(652\) | 699.495 | + | 237.939i | 1.07285 | + | 0.364937i | ||||
\(653\) | 17.0447 | + | 107.616i | 0.0261021 | + | 0.164802i | 0.997296 | − | 0.0734879i | \(-0.0234130\pi\) |
−0.971194 | + | 0.238290i | \(0.923413\pi\) | |||||||
\(654\) | 23.2593 | − | 56.0352i | 0.0355647 | − | 0.0856807i | ||||
\(655\) | −303.870 | − | 959.360i | −0.463924 | − | 1.46467i | ||||
\(656\) | −84.3248 | + | 57.7982i | −0.128544 | + | 0.0881070i | ||||
\(657\) | −32.6010 | − | 62.0929i | −0.0496209 | − | 0.0945097i | ||||
\(658\) | 37.8369 | + | 162.505i | 0.0575029 | + | 0.246969i | ||||
\(659\) | 234.704 | − | 76.2601i | 0.356152 | − | 0.115721i | −0.125476 | − | 0.992097i | \(-0.540046\pi\) |
0.481628 | + | 0.876376i | \(0.340046\pi\) | |||||||
\(660\) | 118.945 | + | 62.8733i | 0.180220 | + | 0.0952625i | ||||
\(661\) | 53.8580 | − | 165.758i | 0.0814796 | − | 0.250768i | −0.902015 | − | 0.431704i | \(-0.857913\pi\) |
0.983495 | + | 0.180935i | \(0.0579125\pi\) | |||||||
\(662\) | 42.2353 | − | 493.353i | 0.0637995 | − | 0.745246i | ||||
\(663\) | 567.633 | + | 407.127i | 0.856158 | + | 0.614067i | ||||
\(664\) | −393.167 | − | 350.044i | −0.592119 | − | 0.527174i | ||||
\(665\) | −124.219 | − | 64.4573i | −0.186796 | − | 0.0969283i | ||||
\(666\) | −264.865 | + | 111.383i | −0.397696 | + | 0.167241i | ||||
\(667\) | 10.2261 | − | 64.5653i | 0.0153315 | − | 0.0967996i | ||||
\(668\) | −11.0205 | + | 803.118i | −0.0164977 | + | 1.20227i | ||||
\(669\) | 475.564 | + | 919.397i | 0.710858 | + | 1.37429i | ||||
\(670\) | 478.680 | + | 1203.96i | 0.714448 | + | 1.79696i | ||||
\(671\) | 146.945 | + | 106.762i | 0.218994 | + | 0.159108i | ||||
\(672\) | 60.2178 | + | 157.818i | 0.0896099 | + | 0.234848i | ||||
\(673\) | 81.4384 | + | 159.832i | 0.121008 | + | 0.237492i | 0.943562 | − | 0.331195i | \(-0.107452\pi\) |
−0.822554 | + | 0.568687i | \(0.807452\pi\) | |||||||
\(674\) | −913.007 | + | 370.862i | −1.35461 | + | 0.550240i | ||||
\(675\) | 394.827 | − | 547.482i | 0.584929 | − | 0.811084i | ||||
\(676\) | 120.448 | − | 117.187i | 0.178178 | − | 0.173354i | ||||
\(677\) | −18.8676 | − | 37.0298i | −0.0278695 | − | 0.0546969i | 0.876652 | − | 0.481125i | \(-0.159772\pi\) |
−0.904521 | + | 0.426428i | \(0.859772\pi\) | |||||||
\(678\) | 201.000 | + | 486.279i | 0.296460 | + | 0.717225i | ||||
\(679\) | −166.562 | − | 121.015i | −0.245305 | − | 0.178225i | ||||
\(680\) | −716.531 | + | 411.956i | −1.05372 | + | 0.605817i | ||||
\(681\) | −196.552 | − | 379.989i | −0.288622 | − | 0.557987i | ||||
\(682\) | 120.117 | + | 50.7224i | 0.176125 | + | 0.0743730i | ||||
\(683\) | 203.432 | − | 1284.42i | 0.297850 | − | 1.88055i | −0.153415 | − | 0.988162i | \(-0.549027\pi\) |
0.451265 | − | 0.892390i | \(-0.350973\pi\) | |||||||
\(684\) | 404.329 | + | 405.532i | 0.591124 | + | 0.592883i | ||||
\(685\) | −670.160 | + | 660.295i | −0.978335 | + | 0.963935i | ||||
\(686\) | 23.9186 | + | 333.118i | 0.0348668 | + | 0.485595i | ||||
\(687\) | −1029.70 | − | 738.538i | −1.49884 | − | 1.07502i | ||||
\(688\) | −137.053 | − | 74.6381i | −0.199205 | − | 0.108486i | ||||
\(689\) | 36.3014 | − | 111.724i | 0.0526872 | − | 0.162154i | ||||
\(690\) | −27.4536 | + | 43.9907i | −0.0397878 | + | 0.0637547i | ||||
\(691\) | −619.872 | + | 201.409i | −0.897066 | + | 0.291474i | −0.721025 | − | 0.692909i | \(-0.756329\pi\) |
−0.176040 | + | 0.984383i | \(0.556329\pi\) | |||||||
\(692\) | −227.023 | − | 321.661i | −0.328068 | − | 0.464827i | ||||
\(693\) | 16.5069 | + | 31.4395i | 0.0238194 | + | 0.0453673i | ||||
\(694\) | 111.273 | − | 178.816i | 0.160336 | − | 0.257660i | ||||
\(695\) | 868.312 | + | 640.755i | 1.24937 | + | 0.921949i | ||||
\(696\) | 335.184 | + | 843.510i | 0.481586 | + | 1.21194i | ||||
\(697\) | −20.6532 | − | 130.399i | −0.0296316 | − | 0.187086i | ||||
\(698\) | −299.010 | + | 345.271i | −0.428381 | + | 0.494658i | ||||
\(699\) | 180.440 | − | 1186.18i | 0.258140 | − | 1.69696i | ||||
\(700\) | 49.5738 | + | 168.827i | 0.0708198 | + | 0.241181i | ||||
\(701\) | − | 406.150i | − | 0.579386i | −0.957120 | − | 0.289693i | \(-0.906447\pi\) | ||
0.957120 | − | 0.289693i | \(-0.0935532\pi\) | |||||||
\(702\) | −559.485 | + | 239.316i | −0.796987 | + | 0.340906i | ||||
\(703\) | −39.7226 | − | 250.798i | −0.0565044 | − | 0.356754i | ||||
\(704\) | 142.547 | − | 16.5978i | 0.202481 | − | 0.0235764i | ||||
\(705\) | 112.167 | − | 702.301i | 0.159102 | − | 0.996172i | ||||
\(706\) | −304.649 | + | 489.571i | −0.431514 | + | 0.693443i | ||||
\(707\) | 214.001 | + | 214.001i | 0.302689 | + | 0.302689i | ||||
\(708\) | −906.147 | + | 453.060i | −1.27987 | + | 0.639915i | ||||
\(709\) | 644.989 | − | 209.569i | 0.909716 | − | 0.295585i | 0.183475 | − | 0.983024i | \(-0.441266\pi\) |
0.726241 | + | 0.687440i | \(0.241266\pi\) | |||||||
\(710\) | 498.656 | + | 46.4160i | 0.702333 | + | 0.0653746i | ||||
\(711\) | 279.105 | + | 197.610i | 0.392553 | + | 0.277932i | ||||
\(712\) | −442.233 | − | 539.904i | −0.621113 | − | 0.758292i | ||||
\(713\) | −22.8148 | + | 44.7765i | −0.0319983 | + | 0.0628002i | ||||
\(714\) | −217.458 | − | 17.2768i | −0.304563 | − | 0.0241972i | ||||
\(715\) | −56.5224 | − | 112.995i | −0.0790523 | − | 0.158035i | ||||
\(716\) | −615.352 | − | 324.248i | −0.859430 | − | 0.452861i | ||||
\(717\) | 52.6609 | − | 165.512i | 0.0734462 | − | 0.230840i | ||||
\(718\) | −620.712 | − | 262.111i | −0.864501 | − | 0.365057i | ||||
\(719\) | 585.616 | + | 806.031i | 0.814486 | + | 1.12104i | 0.990616 | + | 0.136677i | \(0.0436423\pi\) |
−0.176129 | + | 0.984367i | \(0.556358\pi\) | |||||||
\(720\) | 16.2855 | − | 719.816i | 0.0226188 | − | 0.999744i | ||||
\(721\) | 166.700 | + | 121.115i | 0.231207 | + | 0.167982i | ||||
\(722\) | 184.875 | − | 111.554i | 0.256059 | − | 0.154507i | ||||
\(723\) | 1120.29 | − | 371.596i | 1.54950 | − | 0.513964i | ||||
\(724\) | −301.987 | − | 310.390i | −0.417109 | − | 0.428715i | ||||
\(725\) | 278.806 | + | 903.443i | 0.384559 | + | 1.24613i | ||||
\(726\) | −676.726 | + | 161.936i | −0.932130 | + | 0.223053i | ||||
\(727\) | 308.342 | + | 605.156i | 0.424130 | + | 0.832402i | 0.999891 | + | 0.0147835i | \(0.00470590\pi\) |
−0.575761 | + | 0.817618i | \(0.695294\pi\) | |||||||
\(728\) | 40.1967 | − | 153.447i | 0.0552153 | − | 0.210779i | ||||
\(729\) | −728.509 | + | 26.7540i | −0.999326 | + | 0.0366996i | ||||
\(730\) | −65.8525 | − | 41.6590i | −0.0902090 | − | 0.0570672i | ||||
\(731\) | 163.048 | − | 118.462i | 0.223048 | − | 0.162054i | ||||
\(732\) | 159.353 | − | 958.873i | 0.217696 | − | 1.30994i | ||||
\(733\) | 89.8743 | − | 567.444i | 0.122612 | − | 0.774139i | −0.847377 | − | 0.530991i | \(-0.821820\pi\) |
0.969989 | − | 0.243148i | \(-0.0781802\pi\) | |||||||
\(734\) | −802.263 | + | 675.734i | −1.09300 | + | 0.920619i | ||||
\(735\) | 213.625 | − | 654.583i | 0.290647 | − | 0.890589i | ||||
\(736\) | 2.44600 | + | 55.2573i | 0.00332336 | + | 0.0750778i | ||||
\(737\) | 258.859 | + | 131.895i | 0.351234 | + | 0.178962i | ||||
\(738\) | 106.491 | + | 43.4408i | 0.144297 | + | 0.0588629i | ||||
\(739\) | −30.0192 | + | 92.3897i | −0.0406214 | + | 0.125020i | −0.969311 | − | 0.245839i | \(-0.920937\pi\) |
0.928689 | + | 0.370859i | \(0.120937\pi\) | |||||||
\(740\) | −193.072 | + | 254.262i | −0.260908 | + | 0.343597i | ||||
\(741\) | −87.3735 | − | 530.623i | −0.117913 | − | 0.716090i | ||||
\(742\) | 8.31906 | + | 35.7295i | 0.0112117 | + | 0.0481530i | ||||
\(743\) | −196.824 | + | 196.824i | −0.264904 | + | 0.264904i | −0.827043 | − | 0.562139i | \(-0.809979\pi\) |
0.562139 | + | 0.827043i | \(0.309979\pi\) | |||||||
\(744\) | −44.6801 | − | 696.344i | −0.0600538 | − | 0.935946i | ||||
\(745\) | 132.452 | − | 397.591i | 0.177788 | − | 0.533680i | ||||
\(746\) | 215.514 | − | 871.305i | 0.288893 | − | 1.16797i | ||||
\(747\) | −85.4790 | + | 586.014i | −0.114430 | + | 0.784489i | ||||
\(748\) | −59.6838 | + | 175.459i | −0.0797912 | + | 0.234571i | ||||
\(749\) | 204.272 | 0.272726 | ||||||||
\(750\) | 76.0130 | − | 746.138i | 0.101351 | − | 0.994851i | ||||
\(751\) | − | 254.368i | − | 0.338706i | −0.985555 | − | 0.169353i | \(-0.945832\pi\) | ||
0.985555 | − | 0.169353i | \(-0.0541678\pi\) | |||||||
\(752\) | −325.728 | − | 685.127i | −0.433148 | − | 0.911073i | ||||
\(753\) | −0.454610 | − | 74.3063i | −0.000603732 | − | 0.0986804i | ||||
\(754\) | 204.662 | − | 827.429i | 0.271435 | − | 1.09739i | ||||
\(755\) | 728.453 | + | 242.674i | 0.964838 | + | 0.321423i | ||||
\(756\) | 110.984 | − | 154.254i | 0.146804 | − | 0.204040i | ||||
\(757\) | −492.337 | − | 492.337i | −0.650379 | − | 0.650379i | 0.302705 | − | 0.953084i | \(-0.402110\pi\) |
−0.953084 | + | 0.302705i | \(0.902110\pi\) | |||||||
\(758\) | 85.3599 | + | 366.612i | 0.112612 | + | 0.483657i | ||||
\(759\) | 1.88917 | + | 11.4730i | 0.00248903 | + | 0.0151160i | ||||
\(760\) | 614.306 | + | 165.799i | 0.808298 | + | 0.218157i | ||||
\(761\) | 1019.37 | + | 331.212i | 1.33951 | + | 0.435233i | 0.889150 | − | 0.457615i | \(-0.151296\pi\) |
0.450359 | + | 0.892848i | \(0.351296\pi\) | |||||||
\(762\) | 633.964 | + | 152.699i | 0.831973 | + | 0.200393i | ||||
\(763\) | 8.07746 | − | 15.8529i | 0.0105864 | − | 0.0207771i | ||||
\(764\) | 1028.70 | − | 506.493i | 1.34647 | − | 0.662948i | ||||
\(765\) | 830.508 | + | 418.133i | 1.08563 | + | 0.546579i | ||||
\(766\) | 100.647 | − | 84.7733i | 0.131393 | − | 0.110670i | ||||
\(767\) | 939.660 | + | 148.827i | 1.22511 | + | 0.194038i | ||||
\(768\) | −420.594 | − | 642.592i | −0.547649 | − | 0.836708i | ||||
\(769\) | 728.783 | + | 1003.08i | 0.947702 | + | 1.30440i | 0.952541 | + | 0.304411i | \(0.0984597\pi\) |
−0.00483886 | + | 0.999988i | \(0.501540\pi\) | |||||||
\(770\) | 33.3432 | + | 21.0932i | 0.0433028 | + | 0.0273938i | ||||
\(771\) | −714.382 | − | 705.694i | −0.926565 | − | 0.915297i | ||||
\(772\) | 831.649 | + | 621.840i | 1.07727 | + | 0.805492i | ||||
\(773\) | −325.021 | + | 165.606i | −0.420466 | + | 0.214238i | −0.651405 | − | 0.758730i | \(-0.725820\pi\) |
0.230939 | + | 0.972968i | \(0.425820\pi\) | |||||||
\(774\) | 14.7154 | + | 174.949i | 0.0190122 | + | 0.226032i | ||||
\(775\) | 10.7776 | − | 726.770i | 0.0139066 | − | 0.937768i | ||||
\(776\) | 857.261 | + | 375.941i | 1.10472 | + | 0.484460i | ||||
\(777\) | −79.9774 | + | 26.5283i | −0.102931 | + | 0.0341419i | ||||
\(778\) | 636.737 | − | 384.209i | 0.818429 | − | 0.493842i | ||||
\(779\) | −59.7416 | + | 82.2273i | −0.0766901 | + | 0.105555i | ||||
\(780\) | −405.590 | + | 540.973i | −0.519988 | + | 0.693555i | ||||
\(781\) | 90.8517 | − | 66.0077i | 0.116327 | − | 0.0845168i | ||||
\(782\) | −65.8042 | − | 27.7874i | −0.0841486 | − | 0.0355338i | ||||
\(783\) | 584.939 | − | 836.983i | 0.747049 | − | 1.06894i | ||||
\(784\) | −207.710 | − | 704.481i | −0.264936 | − | 0.898573i | ||||
\(785\) | −493.425 | + | 246.822i | −0.628567 | + | 0.314423i | ||||
\(786\) | −95.6413 | + | 1203.81i | −0.121681 | + | 1.53156i | ||||
\(787\) | 46.7900 | + | 23.8407i | 0.0594536 | + | 0.0302931i | 0.483465 | − | 0.875364i | \(-0.339378\pi\) |
−0.424011 | + | 0.905657i | \(0.639378\pi\) | |||||||
\(788\) | −297.392 | − | 959.897i | −0.377400 | − | 1.21814i | ||||
\(789\) | 267.918 | − | 533.869i | 0.339567 | − | 0.676640i | ||||
\(790\) | 378.341 | + | 35.2167i | 0.478912 | + | 0.0445781i | ||||
\(791\) | 47.6834 | + | 146.755i | 0.0602825 | + | 0.185530i | ||||
\(792\) | −103.824 | − | 123.637i | −0.131091 | − | 0.156107i | ||||
\(793\) | −645.448 | + | 645.448i | −0.813932 | + | 0.813932i | ||||
\(794\) | 42.7591 | − | 68.7138i | 0.0538527 | − | 0.0865413i | ||||
\(795\) | 24.6618 | − | 154.413i | 0.0310211 | − | 0.194230i | ||||
\(796\) | −227.083 | − | 1573.16i | −0.285280 | − | 1.97633i | ||||
\(797\) | 463.094 | − | 73.3469i | 0.581047 | − | 0.0920288i | 0.141010 | − | 0.990008i | \(-0.454965\pi\) |
0.440037 | + | 0.897979i | \(0.354965\pi\) | |||||||
\(798\) | 108.971 | + | 127.781i | 0.136555 | + | 0.160126i | ||||
\(799\) | 979.696 | 1.22615 | ||||||||
\(800\) | −383.995 | − | 701.818i | −0.479993 | − | 0.877272i | ||||
\(801\) | −233.467 | + | 749.624i | −0.291469 | + | 0.935860i | ||||
\(802\) | −347.739 | + | 401.539i | −0.433590 | + | 0.500672i | ||||
\(803\) | −17.2579 | + | 2.73338i | −0.0214918 | + | 0.00340396i | ||||
\(804\) | 11.8211 | − | 1554.71i | 0.0147029 | − | 1.93372i | ||||
\(805\) | −9.02924 | + | 12.2359i | −0.0112164 | + | 0.0151998i | ||||
\(806\) | −346.199 | + | 556.341i | −0.429527 | + | 0.690250i | ||||
\(807\) | 216.779 | + | 294.563i | 0.268623 | + | 0.365010i | ||||
\(808\) | −1158.20 | − | 742.957i | −1.43341 | − | 0.919501i | ||||
\(809\) | −121.823 | − | 374.933i | −0.150585 | − | 0.463453i | 0.847102 | − | 0.531431i | \(-0.178345\pi\) |
−0.997687 | + | 0.0679776i | \(0.978345\pi\) | |||||||
\(810\) | −686.287 | + | 430.244i | −0.847268 | + | 0.531166i | ||||
\(811\) | −679.786 | − | 220.876i | −0.838207 | − | 0.272350i | −0.141709 | − | 0.989908i | \(-0.545260\pi\) |
−0.696498 | + | 0.717558i | \(0.745260\pi\) | |||||||
\(812\) | 78.7729 | + | 254.257i | 0.0970109 | + | 0.313124i | ||||
\(813\) | 148.797 | + | 106.722i | 0.183022 | + | 0.131270i | ||||
\(814\) | 5.12701 | + | 71.4046i | 0.00629853 | + | 0.0877206i | ||||
\(815\) | −648.203 | − | 657.887i | −0.795341 | − | 0.807223i | ||||
\(816\) | 982.690 | − | 134.231i | 1.20428 | − | 0.164499i | ||||
\(817\) | −153.244 | − | 24.2714i | −0.187569 | − | 0.0297080i | ||||
\(818\) | 49.8844 | + | 21.0649i | 0.0609834 | + | 0.0257517i | ||||
\(819\) | −169.031 | + | 57.2175i | −0.206387 | + | 0.0698626i | ||||
\(820\) | 126.610 | − | 17.3188i | 0.154403 | − | 0.0211205i | ||||
\(821\) | 530.097 | − | 729.616i | 0.645672 | − | 0.888692i | −0.353230 | − | 0.935537i | \(-0.614917\pi\) |
0.998902 | + | 0.0468449i | \(0.0149166\pi\) | |||||||
\(822\) | 1043.34 | − | 431.259i | 1.26927 | − | 0.524646i | ||||
\(823\) | −169.651 | + | 86.4418i | −0.206138 | + | 0.105033i | −0.554012 | − | 0.832509i | \(-0.686904\pi\) |
0.347874 | + | 0.937541i | \(0.386904\pi\) | |||||||
\(824\) | −857.973 | − | 376.253i | −1.04123 | − | 0.456618i | ||||
\(825\) | −97.6621 | − | 136.913i | −0.118378 | − | 0.165955i | ||||
\(826\) | −275.257 | + | 111.809i | −0.333240 | + | 0.135362i | ||||
\(827\) | −653.933 | + | 333.195i | −0.790729 | + | 0.402897i | −0.802213 | − | 0.597038i | \(-0.796344\pi\) |
0.0114844 | + | 0.999934i | \(0.496344\pi\) | |||||||
\(828\) | 50.3956 | − | 36.5003i | 0.0608643 | − | 0.0440825i | ||||
\(829\) | 637.065 | − | 876.845i | 0.768474 | − | 1.05771i | −0.227988 | − | 0.973664i | \(-0.573215\pi\) |
0.996462 | − | 0.0840497i | \(-0.0267854\pi\) | |||||||
\(830\) | 243.109 | + | 611.461i | 0.292902 | + | 0.736700i | ||||
\(831\) | −156.152 | − | 301.886i | −0.187909 | − | 0.363281i | ||||
\(832\) | −29.6793 | + | 720.597i | −0.0356722 | + | 0.866103i | ||||
\(833\) | 936.829 | + | 148.379i | 1.12464 | + | 0.178126i | ||||
\(834\) | −675.795 | − | 1104.64i | −0.810306 | − | 1.32451i | ||||
\(835\) | 462.423 | − | 891.159i | 0.553800 | − | 1.06726i | ||||
\(836\) | 128.003 | − | 63.0237i | 0.153114 | − | 0.0753872i | ||||
\(837\) | −626.502 | + | 472.988i | −0.748509 | + | 0.565099i | ||||
\(838\) | −11.7275 | + | 136.990i | −0.0139947 | + | 0.163472i | ||||
\(839\) | −1271.55 | − | 413.151i | −1.51555 | − | 0.492433i | −0.571045 | − | 0.820919i | \(-0.693462\pi\) |
−0.944509 | + | 0.328486i | \(0.893462\pi\) | |||||||
\(840\) | 21.1672 | − | 210.082i | 0.0251990 | − | 0.250097i | ||||
\(841\) | 182.106 | + | 560.465i | 0.216535 | + | 0.666427i | ||||
\(842\) | −107.017 | − | 459.627i | −0.127099 | − | 0.545876i | ||||
\(843\) | 50.8003 | − | 37.3856i | 0.0602613 | − | 0.0443482i | ||||
\(844\) | −244.930 | + | 1420.04i | −0.290202 | + | 1.68251i | ||||
\(845\) | −200.256 | + | 63.4297i | −0.236990 | + | 0.0750647i | ||||
\(846\) | −442.004 | + | 730.066i | −0.522464 | + | 0.862962i | ||||
\(847\) | −201.545 | + | 31.9217i | −0.237952 | + | 0.0376879i | ||||
\(848\) | −71.6166 | − | 150.636i | −0.0844535 | − | 0.177637i | ||||
\(849\) | −36.7190 | + | 241.383i | −0.0432497 | + | 0.284315i | ||||
\(850\) | 1031.47 | − | 58.7033i | 1.21350 | − | 0.0690627i | ||||
\(851\) | −27.5916 | −0.0324225 | ||||||||
\(852\) | −533.382 | − | 276.900i | −0.626035 | − | 0.325000i | ||||
\(853\) | −214.794 | + | 34.0200i | −0.251810 | + | 0.0398827i | −0.281063 | − | 0.959689i | \(-0.590687\pi\) |
0.0292534 | + | 0.999572i | \(0.490687\pi\) | |||||||
\(854\) | 68.4444 | − | 276.714i | 0.0801457 | − | 0.324021i | ||||
\(855\) | −224.482 | − | 679.714i | −0.262551 | − | 0.794987i | ||||
\(856\) | −907.357 | + | 198.180i | −1.06000 | + | 0.231519i | ||||
\(857\) | −597.950 | + | 597.950i | −0.697725 | + | 0.697725i | −0.963919 | − | 0.266195i | \(-0.914234\pi\) |
0.266195 | + | 0.963919i | \(0.414234\pi\) | |||||||
\(858\) | 11.7831 | + | 151.153i | 0.0137332 | + | 0.176169i | ||||
\(859\) | 205.454 | + | 632.323i | 0.239178 | + | 0.736115i | 0.996540 | + | 0.0831189i | \(0.0264881\pi\) |
−0.757361 | + | 0.652996i | \(0.773512\pi\) | |||||||
\(860\) | 111.301 | + | 160.206i | 0.129419 | + | 0.186286i | ||||
\(861\) | 30.1447 | + | 15.1279i | 0.0350113 | + | 0.0175702i | ||||
\(862\) | 1267.77 | + | 108.532i | 1.47074 | + | 0.125908i | ||||
\(863\) | 125.826 | + | 64.1116i | 0.145801 | + | 0.0742892i | 0.525369 | − | 0.850875i | \(-0.323927\pi\) |
−0.379568 | + | 0.925164i | \(0.623927\pi\) | |||||||
\(864\) | −343.327 | + | 792.857i | −0.397369 | + | 0.917659i | ||||
\(865\) | 73.3807 | + | 486.632i | 0.0848331 | + | 0.562580i | ||||
\(866\) | 657.753 | − | 554.015i | 0.759530 | − | 0.639740i | ||||
\(867\) | −125.478 | + | 394.376i | −0.144727 | + | 0.454875i | ||||
\(868\) | 2.80766 | − | 204.609i | 0.00323464 | − | 0.235724i | ||||
\(869\) | 68.9310 | − | 50.0813i | 0.0793223 | − | 0.0576310i | ||||
\(870\) | 98.2413 | − | 1130.32i | 0.112921 | − | 1.29922i | ||||
\(871\) | −858.186 | + | 1181.19i | −0.985288 | + | 1.35613i | ||||
\(872\) | −20.4992 | + | 78.2539i | −0.0235083 | + | 0.0897407i | ||||
\(873\) | −177.452 | − | 1038.02i | −0.203267 | − | 1.18903i | ||||
\(874\) | 20.6949 | + | 50.9478i | 0.0236784 | + | 0.0582927i | ||||
\(875\) | 39.2296 | − | 216.416i | 0.0448339 | − | 0.247333i | ||||
\(876\) | 54.3858 | + | 76.0652i | 0.0620842 | + | 0.0868324i | ||||
\(877\) | −832.734 | + | 424.299i | −0.949525 | + | 0.483807i | −0.858937 | − | 0.512081i | \(-0.828875\pi\) |
−0.0905883 | + | 0.995888i | \(0.528875\pi\) | |||||||
\(878\) | 1469.04 | − | 886.423i | 1.67317 | − | 1.00959i | ||||
\(879\) | −615.559 | + | 623.138i | −0.700295 | + | 0.708917i | ||||
\(880\) | −168.572 | − | 61.3456i | −0.191559 | − | 0.0697109i | ||||
\(881\) | 28.1014 | + | 38.6783i | 0.0318972 | + | 0.0439027i | 0.824668 | − | 0.565617i | \(-0.191362\pi\) |
−0.792771 | + | 0.609520i | \(0.791362\pi\) | |||||||
\(882\) | −533.236 | + | 631.178i | −0.604576 | + | 0.715621i | ||||
\(883\) | 251.859 | + | 39.8905i | 0.285231 | + | 0.0451761i | 0.297410 | − | 0.954750i | \(-0.403877\pi\) |
−0.0121798 | + | 0.999926i | \(0.503877\pi\) | |||||||
\(884\) | −823.992 | − | 434.188i | −0.932118 | − | 0.491163i | ||||
\(885\) | 1266.37 | + | 1.64147i | 1.43093 | + | 0.00185477i | ||||
\(886\) | 1124.91 | − | 80.7711i | 1.26965 | − | 0.0911638i | ||||
\(887\) | −237.527 | + | 466.172i | −0.267786 | + | 0.525560i | −0.985268 | − | 0.171017i | \(-0.945295\pi\) |
0.717482 | + | 0.696577i | \(0.245295\pi\) | |||||||
\(888\) | 329.516 | − | 195.429i | 0.371076 | − | 0.220077i | ||||
\(889\) | 181.872 | + | 59.0938i | 0.204580 | + | 0.0664722i | ||||
\(890\) | 191.523 | + | 851.093i | 0.215194 | + | 0.956284i | ||||
\(891\) | −51.8829 | + | 174.061i | −0.0582300 | + | 0.195355i | ||||
\(892\) | −795.833 | − | 1127.59i | −0.892190 | − | 1.26411i | ||||
\(893\) | −533.310 | − | 533.310i | −0.597212 | − | 0.597212i | ||||
\(894\) | −326.884 | + | 382.156i | −0.365642 | + | 0.427468i | ||||
\(895\) | 505.816 | + | 707.163i | 0.565158 | + | 0.790127i | ||||
\(896\) | −108.324 | − | 197.461i | −0.120897 | − | 0.220380i | ||||
\(897\) | −58.4331 | + | 0.357497i | −0.0651428 | + | 0.000398547i | ||||
\(898\) | −981.098 | − | 849.646i | −1.09254 | − | 0.946154i | ||||
\(899\) | − | 1099.56i | − | 1.22309i | ||||||
\(900\) | −421.619 | + | 795.134i | −0.468465 | + | 0.883482i | ||||
\(901\) | 215.402 | 0.239070 | ||||||||
\(902\) | 18.7588 | − | 21.6610i | 0.0207969 | − | 0.0240144i | ||||
\(903\) | 0.314989 | + | 51.4852i | 0.000348826 | + | 0.0570157i | ||||
\(904\) | −354.184 | − | 605.610i | −0.391797 | − | 0.669922i | ||||
\(905\) | 163.456 | + | 516.053i | 0.180614 | + | 0.570224i | ||||
\(906\) | −700.174 | − | 598.905i | −0.772819 | − | 0.661043i | ||||
\(907\) | −807.029 | + | 807.029i | −0.889778 | + | 0.889778i | −0.994501 | − | 0.104723i | \(-0.966604\pi\) |
0.104723 | + | 0.994501i | \(0.466604\pi\) | |||||||
\(908\) | 328.920 | + | 466.034i | 0.362246 | + | 0.513254i | ||||
\(909\) | 18.9409 | + | 1547.90i | 0.0208371 | + | 1.70285i | ||||
\(910\) | −130.912 | + | 148.920i | −0.143860 | + | 0.163649i | ||||
\(911\) | −49.3208 | + | 151.794i | −0.0541392 | + | 0.166623i | −0.974470 | − | 0.224517i | \(-0.927919\pi\) |
0.920331 | + | 0.391141i | \(0.127919\pi\) | |||||||
\(912\) | −608.010 | − | 461.870i | −0.666678 | − | 0.506436i | ||||
\(913\) | 131.468 | + | 66.9861i | 0.143995 | + | 0.0733692i | ||||
\(914\) | 23.7973 | + | 331.429i | 0.0260365 | + | 0.362614i | ||||
\(915\) | −715.450 | + | 982.053i | −0.781913 | + | 1.07328i | ||||
\(916\) | 1494.74 | + | 787.628i | 1.63182 | + | 0.859855i | ||||
\(917\) | −55.3994 | + | 349.778i | −0.0604137 | + | 0.381437i | ||||
\(918\) | −734.353 | − | 840.071i | −0.799948 | − | 0.915110i | ||||
\(919\) | 1363.97 | − | 990.979i | 1.48418 | − | 1.07832i | 0.508007 | − | 0.861353i | \(-0.330382\pi\) |
0.976178 | − | 0.216970i | \(-0.0696175\pi\) | |||||||
\(920\) | 28.2361 | − | 63.1107i | 0.0306914 | − | 0.0685986i | ||||
\(921\) | −698.939 | − | 690.438i | −0.758891 | − | 0.749662i | ||||
\(922\) | 49.2409 | + | 81.6054i | 0.0534066 | + | 0.0885091i | ||||
\(923\) | 256.214 | + | 502.847i | 0.277588 | + | 0.544797i | ||||
\(924\) | −27.5372 | − | 38.5141i | −0.0298022 | − | 0.0416820i | ||||
\(925\) | 358.223 | − | 175.883i | 0.387269 | − | 0.190143i | ||||
\(926\) | 511.438 | − | 207.745i | 0.552309 | − | 0.224347i | ||||
\(927\) | 177.599 | + | 1038.88i | 0.191585 | + | 1.12069i | ||||
\(928\) | −596.577 | − | 1052.96i | −0.642863 | − | 1.13466i | ||||
\(929\) | −990.841 | − | 719.888i | −1.06657 | − | 0.774906i | −0.0912748 | − | 0.995826i | \(-0.529094\pi\) |
−0.975292 | + | 0.220920i | \(0.929094\pi\) | |||||||
\(930\) | −340.346 | + | 803.077i | −0.365963 | + | 0.863524i | ||||
\(931\) | −429.203 | − | 590.747i | −0.461013 | − | 0.634529i | ||||
\(932\) | −21.9500 | + | 1599.61i | −0.0235515 | + | 1.71632i | ||||
\(933\) | 390.114 | + | 124.122i | 0.418129 | + | 0.133036i | ||||
\(934\) | 792.237 | + | 940.581i | 0.848219 | + | 1.00705i | ||||
\(935\) | 165.022 | − | 162.593i | 0.176494 | − | 0.173896i | ||||
\(936\) | 695.312 | − | 418.146i | 0.742854 | − | 0.446737i | ||||
\(937\) | 334.345 | − | 656.189i | 0.356825 | − | 0.700308i | −0.640907 | − | 0.767618i | \(-0.721442\pi\) |
0.997732 | + | 0.0673101i | \(0.0214417\pi\) | |||||||
\(938\) | 38.8905 | − | 454.283i | 0.0414611 | − | 0.484310i | ||||
\(939\) | 83.4924 | − | 166.372i | 0.0889163 | − | 0.177179i | ||||
\(940\) | −20.0406 | + | 948.057i | −0.0213198 | + | 1.00857i | ||||
\(941\) | 570.461 | − | 185.354i | 0.606229 | − | 0.196976i | 0.0102123 | − | 0.999948i | \(-0.496749\pi\) |
0.596017 | + | 0.802972i | \(0.296749\pi\) | |||||||
\(942\) | 660.055 | − | 51.4543i | 0.700696 | − | 0.0546224i | ||||
\(943\) | 7.80935 | + | 7.80935i | 0.00828139 | + | 0.00828139i | ||||
\(944\) | 1114.19 | − | 763.693i | 1.18029 | − | 0.808997i | ||||
\(945\) | −210.456 | + | 110.149i | −0.222705 | + | 0.116560i | ||||
\(946\) | 42.4625 | + | 10.5030i | 0.0448864 | + | 0.0111025i | ||||
\(947\) | 109.876 | + | 693.728i | 0.116025 | + | 0.732553i | 0.975275 | + | 0.220996i | \(0.0709309\pi\) |
−0.859250 | + | 0.511557i | \(0.829069\pi\) | |||||||
\(948\) | −404.688 | − | 210.090i | −0.426886 | − | 0.221614i | ||||
\(949\) | − | 87.8108i | − | 0.0925298i | ||||||
\(950\) | −593.451 | − | 529.539i | −0.624685 | − | 0.557410i | ||||
\(951\) | −1057.70 | − | 160.896i | −1.11220 | − | 0.169186i | ||||
\(952\) | 290.369 | − | 16.8480i | 0.305009 | − | 0.0176975i | ||||
\(953\) | −57.5559 | − | 363.393i | −0.0603944 | − | 0.381315i | −0.999309 | − | 0.0371653i | \(-0.988167\pi\) |
0.938915 | − | 0.344150i | \(-0.111833\pi\) | |||||||
\(954\) | −97.1820 | + | 160.517i | −0.101868 | + | 0.168257i | ||||
\(955\) | −1433.25 | − | 10.6266i | −1.50078 | − | 0.0111273i | ||||
\(956\) | −39.3627 | + | 228.214i | −0.0411744 | + | 0.238718i | ||||
\(957\) | −150.796 | − | 204.905i | −0.157571 | − | 0.214111i | ||||
\(958\) | 1076.50 | − | 250.647i | 1.12370 | − | 0.261636i | ||||
\(959\) | 314.872 | − | 102.308i | 0.328333 | − | 0.106682i | ||||
\(960\) | 109.794 | + | 953.701i | 0.114369 | + | 0.993438i | ||||
\(961\) | 35.7539 | − | 110.039i | 0.0372049 | − | 0.114505i | ||||
\(962\) | −358.457 | − | 30.6870i | −0.372616 | − | 0.0318992i | ||||
\(963\) | 747.799 | + | 729.719i | 0.776530 | + | 0.757756i | ||||
\(964\) | −1411.89 | + | 695.158i | −1.46461 | + | 0.721118i | ||||
\(965\) | −580.703 | − | 1160.89i | −0.601764 | − | 1.20300i | ||||
\(966\) | 15.5661 | − | 9.52302i | 0.0161140 | − | 0.00985819i | ||||
\(967\) | −24.8872 | + | 157.132i | −0.0257365 | + | 0.162494i | −0.997209 | − | 0.0746572i | \(-0.976214\pi\) |
0.971473 | + | 0.237151i | \(0.0762137\pi\) | |||||||
\(968\) | 864.278 | − | 337.329i | 0.892849 | − | 0.348480i | ||||
\(969\) | 875.832 | − | 453.029i | 0.903852 | − | 0.467523i | ||||
\(970\) | −747.134 | − | 900.499i | −0.770241 | − | 0.928349i | ||||
\(971\) | 654.524 | + | 475.540i | 0.674072 | + | 0.489742i | 0.871386 | − | 0.490598i | \(-0.163222\pi\) |
−0.197314 | + | 0.980340i | \(0.563222\pi\) | |||||||
\(972\) | 957.332 | − | 168.226i | 0.984909 | − | 0.173072i | ||||
\(973\) | −172.406 | − | 338.366i | −0.177190 | − | 0.347755i | ||||
\(974\) | 146.167 | + | 359.841i | 0.150069 | + | 0.369447i | ||||
\(975\) | 756.362 | − | 377.124i | 0.775756 | − | 0.386793i | ||||
\(976\) | −35.5619 | + | 1295.54i | −0.0364364 | + | 1.32740i | ||||
\(977\) | −38.4505 | − | 75.4633i | −0.0393557 | − | 0.0772398i | 0.870491 | − | 0.492184i | \(-0.163801\pi\) |
−0.909847 | + | 0.414944i | \(0.863801\pi\) | |||||||
\(978\) | 423.362 | + | 1024.24i | 0.432885 | + | 1.04728i | ||||
\(979\) | 158.257 | + | 114.980i | 0.161652 | + | 0.117447i | ||||
\(980\) | −162.751 | + | 903.539i | −0.166072 | + | 0.921979i | ||||
\(981\) | 86.2014 | − | 29.1793i | 0.0878709 | − | 0.0297445i | ||||
\(982\) | −165.024 | + | 390.798i | −0.168049 | + | 0.397962i | ||||
\(983\) | 304.809 | − | 1924.49i | 0.310080 | − | 1.95777i | 0.0234595 | − | 0.999725i | \(-0.492532\pi\) |
0.286621 | − | 0.958044i | \(-0.407468\pi\) | |||||||
\(984\) | −148.577 | − | 37.9511i | −0.150993 | − | 0.0385682i | ||||
\(985\) | −205.696 | + | 1239.18i | −0.208829 | + | 1.25805i | ||||
\(986\) | 1558.90 | − | 111.932i | 1.58103 | − | 0.113522i | ||||
\(987\) | −145.868 | + | 203.376i | −0.147790 | + | 0.206054i | ||||
\(988\) | 212.195 | + | 684.907i | 0.214772 | + | 0.693225i | ||||
\(989\) | −5.20974 | + | 16.0339i | −0.00526769 | + | 0.0162123i | ||||
\(990\) | 46.7115 | + | 196.330i | 0.0471833 | + | 0.198313i | ||||
\(991\) | 54.2355 | − | 17.6222i | 0.0547280 | − | 0.0177822i | −0.281525 | − | 0.959554i | \(-0.590840\pi\) |
0.336253 | + | 0.941772i | \(0.390840\pi\) | |||||||
\(992\) | 186.036 | + | 911.579i | 0.187536 | + | 0.918930i | ||||
\(993\) | 598.204 | − | 440.237i | 0.602421 | − | 0.443341i | ||||
\(994\) | −149.634 | − | 93.1140i | −0.150537 | − | 0.0936760i | ||||
\(995\) | −627.956 | + | 1884.98i | −0.631112 | + | 1.89445i | ||||
\(996\) | 6.00364 | − | 789.597i | 0.00602775 | − | 0.792768i | ||||
\(997\) | −230.652 | − | 1456.28i | −0.231346 | − | 1.46066i | −0.780612 | − | 0.625016i | \(-0.785093\pi\) |
0.549266 | − | 0.835648i | \(-0.314907\pi\) | |||||||
\(998\) | −760.860 | − | 658.917i | −0.762385 | − | 0.660237i | ||||
\(999\) | −387.549 | − | 188.588i | −0.387937 | − | 0.188777i |
(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 | 300.3.u.a.47.27 | ✓ | 928 | |
3.2 | odd | 2 | inner | 300.3.u.a.47.90 | yes | 928 | |
4.3 | odd | 2 | inner | 300.3.u.a.47.55 | yes | 928 | |
12.11 | even | 2 | inner | 300.3.u.a.47.62 | yes | 928 | |
25.8 | odd | 20 | inner | 300.3.u.a.83.62 | yes | 928 | |
75.8 | even | 20 | inner | 300.3.u.a.83.55 | yes | 928 | |
100.83 | even | 20 | inner | 300.3.u.a.83.90 | yes | 928 | |
300.83 | odd | 20 | inner | 300.3.u.a.83.27 | yes | 928 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.3.u.a.47.27 | ✓ | 928 | 1.1 | even | 1 | trivial | |
300.3.u.a.47.55 | yes | 928 | 4.3 | odd | 2 | inner | |
300.3.u.a.47.62 | yes | 928 | 12.11 | even | 2 | inner | |
300.3.u.a.47.90 | yes | 928 | 3.2 | odd | 2 | inner | |
300.3.u.a.83.27 | yes | 928 | 300.83 | odd | 20 | inner | |
300.3.u.a.83.55 | yes | 928 | 75.8 | even | 20 | inner | |
300.3.u.a.83.62 | yes | 928 | 25.8 | odd | 20 | inner | |
300.3.u.a.83.90 | yes | 928 | 100.83 | even | 20 | inner |