Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(118,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.118");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.h (of order \(3\), 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: | \(3.21797120146\) |
Analytic rank: | \(0\) |
Dimension: | \(34\) |
Relative dimension: | \(17\) over \(\Q(\zeta_{3})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 118.4 | ||
Character | \(\chi\) | \(=\) | 403.118 |
Dual form | 403.2.h.b.222.4 |
$q$-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 \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.72349 | −1.21869 | −0.609345 | − | 0.792905i | \(-0.708568\pi\) | ||||
−0.609345 | + | 0.792905i | \(0.708568\pi\) | |||||||
\(3\) | −1.49143 | − | 2.58324i | −0.861079 | − | 1.49143i | −0.870889 | − | 0.491481i | \(-0.836456\pi\) |
0.00980961 | − | 0.999952i | \(-0.496877\pi\) | |||||||
\(4\) | 0.970414 | 0.485207 | ||||||||
\(5\) | −1.96711 | + | 3.40713i | −0.879718 | + | 1.52372i | −0.0280673 | + | 0.999606i | \(0.508935\pi\) |
−0.851651 | + | 0.524110i | \(0.824398\pi\) | |||||||
\(6\) | 2.57047 | + | 4.45218i | 1.04939 | + | 1.81759i | ||||
\(7\) | 0.142448 | + | 0.246727i | 0.0538402 | + | 0.0932539i | 0.891689 | − | 0.452648i | \(-0.149521\pi\) |
−0.837849 | + | 0.545902i | \(0.816187\pi\) | |||||||
\(8\) | 1.77448 | 0.627374 | ||||||||
\(9\) | −2.94874 | + | 5.10737i | −0.982914 | + | 1.70246i | ||||
\(10\) | 3.39029 | − | 5.87216i | 1.07210 | − | 1.85694i | ||||
\(11\) | 2.19472 | − | 3.80137i | 0.661734 | − | 1.14616i | −0.318426 | − | 0.947948i | \(-0.603154\pi\) |
0.980160 | − | 0.198209i | \(-0.0635123\pi\) | |||||||
\(12\) | −1.44731 | − | 2.50681i | −0.417801 | − | 0.723653i | ||||
\(13\) | −0.500000 | + | 0.866025i | −0.138675 | + | 0.240192i | ||||
\(14\) | −0.245507 | − | 0.425231i | −0.0656145 | − | 0.113648i | ||||
\(15\) | 11.7352 | 3.03003 | ||||||||
\(16\) | −4.99912 | −1.24978 | ||||||||
\(17\) | 2.72208 | + | 4.71478i | 0.660201 | + | 1.14350i | 0.980563 | + | 0.196207i | \(0.0628624\pi\) |
−0.320361 | + | 0.947296i | \(0.603804\pi\) | |||||||
\(18\) | 5.08212 | − | 8.80250i | 1.19787 | − | 2.07477i | ||||
\(19\) | −0.983819 | − | 1.70403i | −0.225704 | − | 0.390930i | 0.730827 | − | 0.682563i | \(-0.239135\pi\) |
−0.956530 | + | 0.291633i | \(0.905801\pi\) | |||||||
\(20\) | −1.90891 | + | 3.30633i | −0.426845 | + | 0.739318i | ||||
\(21\) | 0.424902 | − | 0.735952i | 0.0927213 | − | 0.160598i | ||||
\(22\) | −3.78258 | + | 6.55162i | −0.806449 | + | 1.39681i | ||||
\(23\) | 0.503278 | 0.104941 | 0.0524704 | − | 0.998622i | \(-0.483290\pi\) | ||||
0.0524704 | + | 0.998622i | \(0.483290\pi\) | |||||||
\(24\) | −2.64652 | − | 4.58390i | −0.540218 | − | 0.935685i | ||||
\(25\) | −5.23904 | − | 9.07428i | −1.04781 | − | 1.81486i | ||||
\(26\) | 0.861744 | − | 1.49259i | 0.169002 | − | 0.292720i | ||||
\(27\) | 8.64280 | 1.66331 | ||||||||
\(28\) | 0.138233 | + | 0.239427i | 0.0261236 | + | 0.0452474i | ||||
\(29\) | −1.05528 | −0.195961 | −0.0979804 | − | 0.995188i | \(-0.531238\pi\) | ||||
−0.0979804 | + | 0.995188i | \(0.531238\pi\) | |||||||
\(30\) | −20.2256 | −3.69266 | ||||||||
\(31\) | −3.07690 | − | 4.64033i | −0.552628 | − | 0.833428i | ||||
\(32\) | 5.06698 | 0.895723 | ||||||||
\(33\) | −13.0931 | −2.27922 | ||||||||
\(34\) | −4.69148 | − | 8.12587i | −0.804581 | − | 1.39358i | ||||
\(35\) | −1.12084 | −0.189457 | ||||||||
\(36\) | −2.86150 | + | 4.95626i | −0.476917 | + | 0.826044i | ||||
\(37\) | −2.36478 | − | 4.09593i | −0.388768 | − | 0.673366i | 0.603516 | − | 0.797351i | \(-0.293766\pi\) |
−0.992284 | + | 0.123985i | \(0.960433\pi\) | |||||||
\(38\) | 1.69560 | + | 2.93687i | 0.275063 | + | 0.476423i | ||||
\(39\) | 2.98286 | 0.477641 | ||||||||
\(40\) | −3.49060 | + | 6.04589i | −0.551912 | + | 0.955939i | ||||
\(41\) | 2.42267 | − | 4.19619i | 0.378357 | − | 0.655334i | −0.612466 | − | 0.790497i | \(-0.709822\pi\) |
0.990823 | + | 0.135163i | \(0.0431557\pi\) | |||||||
\(42\) | −0.732314 | + | 1.26841i | −0.112999 | + | 0.195719i | ||||
\(43\) | −2.52626 | − | 4.37561i | −0.385251 | − | 0.667274i | 0.606553 | − | 0.795043i | \(-0.292552\pi\) |
−0.991804 | + | 0.127769i | \(0.959218\pi\) | |||||||
\(44\) | 2.12979 | − | 3.68890i | 0.321078 | − | 0.556123i | ||||
\(45\) | −11.6010 | − | 20.0935i | −1.72937 | − | 2.99536i | ||||
\(46\) | −0.867394 | −0.127890 | ||||||||
\(47\) | 13.5233 | 1.97258 | 0.986289 | − | 0.165027i | \(-0.0527712\pi\) | ||||
0.986289 | + | 0.165027i | \(0.0527712\pi\) | |||||||
\(48\) | 7.45586 | + | 12.9139i | 1.07616 | + | 1.86396i | ||||
\(49\) | 3.45942 | − | 5.99189i | 0.494202 | − | 0.855984i | ||||
\(50\) | 9.02942 | + | 15.6394i | 1.27695 | + | 2.21175i | ||||
\(51\) | 8.11960 | − | 14.0636i | 1.13697 | − | 1.96929i | ||||
\(52\) | −0.485207 | + | 0.840403i | −0.0672861 | + | 0.116543i | ||||
\(53\) | −5.72403 | + | 9.91431i | −0.786256 | + | 1.36184i | 0.141990 | + | 0.989868i | \(0.454650\pi\) |
−0.928246 | + | 0.371967i | \(0.878683\pi\) | |||||||
\(54\) | −14.8958 | −2.02706 | ||||||||
\(55\) | 8.63451 | + | 14.9554i | 1.16428 | + | 2.01659i | ||||
\(56\) | 0.252771 | + | 0.437812i | 0.0337779 | + | 0.0585050i | ||||
\(57\) | −2.93460 | + | 5.08288i | −0.388697 | + | 0.673244i | ||||
\(58\) | 1.81877 | 0.238816 | ||||||||
\(59\) | −3.96529 | − | 6.86809i | −0.516237 | − | 0.894149i | −0.999822 | − | 0.0188519i | \(-0.993999\pi\) |
0.483585 | − | 0.875297i | \(-0.339334\pi\) | |||||||
\(60\) | 11.3880 | 1.47019 | ||||||||
\(61\) | 11.2007 | 1.43410 | 0.717049 | − | 0.697023i | \(-0.245492\pi\) | ||||
0.717049 | + | 0.697023i | \(0.245492\pi\) | |||||||
\(62\) | 5.30301 | + | 7.99756i | 0.673483 | + | 1.01569i | ||||
\(63\) | −1.68017 | −0.211681 | ||||||||
\(64\) | 1.26537 | 0.158172 | ||||||||
\(65\) | −1.96711 | − | 3.40713i | −0.243990 | − | 0.422603i | ||||
\(66\) | 22.5658 | 2.77766 | ||||||||
\(67\) | 0.707197 | − | 1.22490i | 0.0863979 | − | 0.149646i | −0.819588 | − | 0.572953i | \(-0.805798\pi\) |
0.905986 | + | 0.423308i | \(0.139131\pi\) | |||||||
\(68\) | 2.64154 | + | 4.57529i | 0.320334 | + | 0.554835i | ||||
\(69\) | −0.750605 | − | 1.30009i | −0.0903623 | − | 0.156512i | ||||
\(70\) | 1.93176 | 0.230889 | ||||||||
\(71\) | 5.19624 | − | 9.00016i | 0.616681 | − | 1.06812i | −0.373406 | − | 0.927668i | \(-0.621810\pi\) |
0.990087 | − | 0.140454i | \(-0.0448564\pi\) | |||||||
\(72\) | −5.23248 | + | 9.06293i | −0.616654 | + | 1.06808i | ||||
\(73\) | 4.53442 | − | 7.85385i | 0.530714 | − | 0.919224i | −0.468644 | − | 0.883387i | \(-0.655257\pi\) |
0.999358 | − | 0.0358363i | \(-0.0114095\pi\) | |||||||
\(74\) | 4.07568 | + | 7.05928i | 0.473788 | + | 0.820625i | ||||
\(75\) | −15.6273 | + | 27.0673i | −1.80449 | + | 3.12547i | ||||
\(76\) | −0.954712 | − | 1.65361i | −0.109513 | − | 0.189682i | ||||
\(77\) | 1.25053 | 0.142511 | ||||||||
\(78\) | −5.14093 | −0.582096 | ||||||||
\(79\) | −4.01900 | − | 6.96112i | −0.452173 | − | 0.783187i | 0.546347 | − | 0.837559i | \(-0.316018\pi\) |
−0.998521 | + | 0.0543715i | \(0.982684\pi\) | |||||||
\(80\) | 9.83382 | − | 17.0327i | 1.09945 | − | 1.90431i | ||||
\(81\) | −4.04393 | − | 7.00429i | −0.449325 | − | 0.778254i | ||||
\(82\) | −4.17544 | + | 7.23208i | −0.461101 | + | 0.798650i | ||||
\(83\) | −0.505524 | + | 0.875594i | −0.0554885 | + | 0.0961089i | −0.892435 | − | 0.451175i | \(-0.851005\pi\) |
0.836947 | + | 0.547284i | \(0.184338\pi\) | |||||||
\(84\) | 0.412331 | − | 0.714178i | 0.0449890 | − | 0.0779232i | ||||
\(85\) | −21.4185 | −2.32316 | ||||||||
\(86\) | 4.35398 | + | 7.54131i | 0.469501 | + | 0.813200i | ||||
\(87\) | 1.57388 | + | 2.72604i | 0.168738 | + | 0.292262i | ||||
\(88\) | 3.89449 | − | 6.74546i | 0.415154 | − | 0.719068i | ||||
\(89\) | 14.0470 | 1.48898 | 0.744488 | − | 0.667636i | \(-0.232694\pi\) | ||||
0.744488 | + | 0.667636i | \(0.232694\pi\) | |||||||
\(90\) | 19.9942 | + | 34.6309i | 2.10757 | + | 3.65042i | ||||
\(91\) | −0.284895 | −0.0298652 | ||||||||
\(92\) | 0.488388 | 0.0509180 | ||||||||
\(93\) | −7.39808 | + | 14.8691i | −0.767145 | + | 1.54185i | ||||
\(94\) | −23.3073 | −2.40396 | ||||||||
\(95\) | 7.74112 | 0.794222 | ||||||||
\(96\) | −7.55705 | − | 13.0892i | −0.771288 | − | 1.33591i | ||||
\(97\) | −1.31688 | −0.133709 | −0.0668545 | − | 0.997763i | \(-0.521296\pi\) | ||||
−0.0668545 | + | 0.997763i | \(0.521296\pi\) | |||||||
\(98\) | −5.96227 | + | 10.3269i | −0.602280 | + | 1.04318i | ||||
\(99\) | 12.9433 | + | 22.4185i | 1.30085 | + | 2.25315i | ||||
\(100\) | −5.08403 | − | 8.80580i | −0.508403 | − | 0.880580i | ||||
\(101\) | 1.92367 | 0.191412 | 0.0957062 | − | 0.995410i | \(-0.469489\pi\) | ||||
0.0957062 | + | 0.995410i | \(0.469489\pi\) | |||||||
\(102\) | −13.9940 | + | 24.2384i | −1.38562 | + | 2.39996i | ||||
\(103\) | −2.01665 | + | 3.49294i | −0.198706 | + | 0.344169i | −0.948109 | − | 0.317945i | \(-0.897007\pi\) |
0.749403 | + | 0.662114i | \(0.230341\pi\) | |||||||
\(104\) | −0.887240 | + | 1.53675i | −0.0870011 | + | 0.150690i | ||||
\(105\) | 1.67166 | + | 2.89540i | 0.163137 | + | 0.282562i | ||||
\(106\) | 9.86530 | − | 17.0872i | 0.958203 | − | 1.65966i | ||||
\(107\) | −7.57237 | − | 13.1157i | −0.732049 | − | 1.26795i | −0.956006 | − | 0.293347i | \(-0.905231\pi\) |
0.223957 | − | 0.974599i | \(-0.428102\pi\) | |||||||
\(108\) | 8.38709 | 0.807048 | ||||||||
\(109\) | 5.43050 | 0.520147 | 0.260074 | − | 0.965589i | \(-0.416253\pi\) | ||||
0.260074 | + | 0.965589i | \(0.416253\pi\) | |||||||
\(110\) | −14.8815 | − | 25.7755i | −1.41889 | − | 2.45760i | ||||
\(111\) | −7.05383 | + | 12.2176i | −0.669520 | + | 1.15964i | ||||
\(112\) | −0.712114 | − | 1.23342i | −0.0672884 | − | 0.116547i | ||||
\(113\) | −0.281428 | + | 0.487448i | −0.0264745 | + | 0.0458552i | −0.878959 | − | 0.476897i | \(-0.841761\pi\) |
0.852485 | + | 0.522752i | \(0.175095\pi\) | |||||||
\(114\) | 5.05775 | − | 8.76028i | 0.473702 | − | 0.820476i | ||||
\(115\) | −0.990003 | + | 1.71474i | −0.0923182 | + | 0.159900i | ||||
\(116\) | −1.02406 | −0.0950815 | ||||||||
\(117\) | −2.94874 | − | 5.10737i | −0.272611 | − | 0.472177i | ||||
\(118\) | 6.83414 | + | 11.8371i | 0.629134 | + | 1.08969i | ||||
\(119\) | −0.775508 | + | 1.34322i | −0.0710907 | + | 0.123133i | ||||
\(120\) | 20.8240 | 1.90096 | ||||||||
\(121\) | −4.13361 | − | 7.15962i | −0.375783 | − | 0.650875i | ||||
\(122\) | −19.3042 | −1.74772 | ||||||||
\(123\) | −14.4530 | −1.30318 | ||||||||
\(124\) | −2.98587 | − | 4.50304i | −0.268139 | − | 0.404385i | ||||
\(125\) | 21.5519 | 1.92766 | ||||||||
\(126\) | 2.89575 | 0.257974 | ||||||||
\(127\) | 7.52902 | + | 13.0406i | 0.668093 | + | 1.15717i | 0.978437 | + | 0.206546i | \(0.0662223\pi\) |
−0.310344 | + | 0.950624i | \(0.600444\pi\) | |||||||
\(128\) | −12.3148 | −1.08849 | ||||||||
\(129\) | −7.53549 | + | 13.0518i | −0.663463 | + | 1.14915i | ||||
\(130\) | 3.39029 | + | 5.87216i | 0.297348 | + | 0.515022i | ||||
\(131\) | −1.80816 | − | 3.13182i | −0.157979 | − | 0.273628i | 0.776161 | − | 0.630535i | \(-0.217165\pi\) |
−0.934140 | + | 0.356907i | \(0.883831\pi\) | |||||||
\(132\) | −12.7057 | −1.10589 | ||||||||
\(133\) | 0.280286 | − | 0.485469i | 0.0243039 | − | 0.0420955i | ||||
\(134\) | −1.21885 | + | 2.11110i | −0.105292 | + | 0.182372i | ||||
\(135\) | −17.0013 | + | 29.4472i | −1.46324 | + | 2.53441i | ||||
\(136\) | 4.83028 | + | 8.36629i | 0.414193 | + | 0.717403i | ||||
\(137\) | 3.84892 | − | 6.66653i | 0.328836 | − | 0.569560i | −0.653446 | − | 0.756974i | \(-0.726677\pi\) |
0.982281 | + | 0.187414i | \(0.0600105\pi\) | |||||||
\(138\) | 1.29366 | + | 2.24068i | 0.110124 | + | 0.190740i | ||||
\(139\) | −16.2622 | −1.37935 | −0.689673 | − | 0.724121i | \(-0.742246\pi\) | ||||
−0.689673 | + | 0.724121i | \(0.742246\pi\) | |||||||
\(140\) | −1.08768 | −0.0919257 | ||||||||
\(141\) | −20.1691 | − | 34.9339i | −1.69855 | − | 2.94197i | ||||
\(142\) | −8.95567 | + | 15.5117i | −0.751543 | + | 1.30171i | ||||
\(143\) | 2.19472 | + | 3.80137i | 0.183532 | + | 0.317887i | ||||
\(144\) | 14.7411 | − | 25.5324i | 1.22843 | − | 2.12770i | ||||
\(145\) | 2.07585 | − | 3.59548i | 0.172390 | − | 0.298589i | ||||
\(146\) | −7.81503 | + | 13.5360i | −0.646776 | + | 1.12025i | ||||
\(147\) | −20.6379 | −1.70219 | ||||||||
\(148\) | −2.29482 | − | 3.97474i | −0.188633 | − | 0.326722i | ||||
\(149\) | 0.882419 | + | 1.52839i | 0.0722906 | + | 0.125211i | 0.899905 | − | 0.436086i | \(-0.143636\pi\) |
−0.827614 | + | 0.561297i | \(0.810302\pi\) | |||||||
\(150\) | 26.9335 | − | 46.6503i | 2.19911 | − | 3.80898i | ||||
\(151\) | −14.4398 | −1.17509 | −0.587546 | − | 0.809191i | \(-0.699906\pi\) | ||||
−0.587546 | + | 0.809191i | \(0.699906\pi\) | |||||||
\(152\) | −1.74577 | − | 3.02376i | −0.141601 | − | 0.245259i | ||||
\(153\) | −32.1068 | −2.59568 | ||||||||
\(154\) | −2.15528 | −0.173677 | ||||||||
\(155\) | 21.8628 | − | 1.35538i | 1.75606 | − | 0.108867i | ||||
\(156\) | 2.89461 | 0.231755 | ||||||||
\(157\) | 13.7892 | 1.10050 | 0.550249 | − | 0.835001i | \(-0.314533\pi\) | ||||
0.550249 | + | 0.835001i | \(0.314533\pi\) | |||||||
\(158\) | 6.92671 | + | 11.9974i | 0.551059 | + | 0.954463i | ||||
\(159\) | 34.1480 | 2.70811 | ||||||||
\(160\) | −9.96729 | + | 17.2639i | −0.787984 | + | 1.36483i | ||||
\(161\) | 0.0716908 | + | 0.124172i | 0.00565003 | + | 0.00978614i | ||||
\(162\) | 6.96967 | + | 12.0718i | 0.547589 | + | 0.948451i | ||||
\(163\) | 20.6972 | 1.62113 | 0.810564 | − | 0.585649i | \(-0.199160\pi\) | ||||
0.810564 | + | 0.585649i | \(0.199160\pi\) | |||||||
\(164\) | 2.35099 | − | 4.07204i | 0.183582 | − | 0.317973i | ||||
\(165\) | 25.7556 | − | 44.6100i | 2.00507 | − | 3.47288i | ||||
\(166\) | 0.871266 | − | 1.50908i | 0.0676233 | − | 0.117127i | ||||
\(167\) | 5.31886 | + | 9.21254i | 0.411586 | + | 0.712888i | 0.995063 | − | 0.0992417i | \(-0.0316417\pi\) |
−0.583478 | + | 0.812129i | \(0.698308\pi\) | |||||||
\(168\) | 0.753981 | − | 1.30593i | 0.0581709 | − | 0.100755i | ||||
\(169\) | −0.500000 | − | 0.866025i | −0.0384615 | − | 0.0666173i | ||||
\(170\) | 36.9146 | 2.83122 | ||||||||
\(171\) | 11.6041 | 0.887389 | ||||||||
\(172\) | −2.45152 | − | 4.24615i | −0.186926 | − | 0.323766i | ||||
\(173\) | 6.17766 | − | 10.7000i | 0.469679 | − | 0.813507i | −0.529720 | − | 0.848172i | \(-0.677703\pi\) |
0.999399 | + | 0.0346651i | \(0.0110365\pi\) | |||||||
\(174\) | −2.71257 | − | 4.69830i | −0.205639 | − | 0.356177i | ||||
\(175\) | 1.49258 | − | 2.58522i | 0.112828 | − | 0.195424i | ||||
\(176\) | −10.9717 | + | 19.0035i | −0.827022 | + | 1.43244i | ||||
\(177\) | −11.8279 | + | 20.4866i | −0.889042 | + | 1.53987i | ||||
\(178\) | −24.2098 | −1.81460 | ||||||||
\(179\) | −9.17272 | − | 15.8876i | −0.685601 | − | 1.18750i | −0.973248 | − | 0.229759i | \(-0.926206\pi\) |
0.287647 | − | 0.957737i | \(-0.407127\pi\) | |||||||
\(180\) | −11.2578 | − | 19.4990i | −0.839104 | − | 1.45337i | ||||
\(181\) | 8.45399 | − | 14.6427i | 0.628380 | − | 1.08839i | −0.359497 | − | 0.933146i | \(-0.617052\pi\) |
0.987877 | − | 0.155240i | \(-0.0496150\pi\) | |||||||
\(182\) | 0.491014 | 0.0363964 | ||||||||
\(183\) | −16.7050 | − | 28.9340i | −1.23487 | − | 2.13886i | ||||
\(184\) | 0.893057 | 0.0658370 | ||||||||
\(185\) | 18.6072 | 1.36802 | ||||||||
\(186\) | 12.7505 | − | 25.6267i | 0.934913 | − | 1.87904i | ||||
\(187\) | 23.8968 | 1.74751 | ||||||||
\(188\) | 13.1232 | 0.957109 | ||||||||
\(189\) | 1.23115 | + | 2.13241i | 0.0895528 | + | 0.155110i | ||||
\(190\) | −13.3417 | −0.967911 | ||||||||
\(191\) | −8.99331 | + | 15.5769i | −0.650733 | + | 1.12710i | 0.332212 | + | 0.943205i | \(0.392205\pi\) |
−0.982945 | + | 0.183898i | \(0.941128\pi\) | |||||||
\(192\) | −1.88722 | − | 3.26876i | −0.136198 | − | 0.235903i | ||||
\(193\) | 6.36595 | + | 11.0262i | 0.458231 | + | 0.793680i | 0.998868 | − | 0.0475766i | \(-0.0151498\pi\) |
−0.540636 | + | 0.841256i | \(0.681816\pi\) | |||||||
\(194\) | 2.26963 | 0.162950 | ||||||||
\(195\) | −5.86762 | + | 10.1630i | −0.420189 | + | 0.727789i | ||||
\(196\) | 3.35707 | − | 5.81461i | 0.239790 | − | 0.415329i | ||||
\(197\) | −5.22317 | + | 9.04679i | −0.372135 | + | 0.644557i | −0.989894 | − | 0.141811i | \(-0.954708\pi\) |
0.617759 | + | 0.786368i | \(0.288041\pi\) | |||||||
\(198\) | −22.3077 | − | 38.6381i | −1.58534 | − | 2.74589i | ||||
\(199\) | 1.64202 | − | 2.84406i | 0.116400 | − | 0.201610i | −0.801939 | − | 0.597406i | \(-0.796198\pi\) |
0.918338 | + | 0.395796i | \(0.129531\pi\) | |||||||
\(200\) | −9.29656 | − | 16.1021i | −0.657366 | − | 1.13859i | ||||
\(201\) | −4.21895 | −0.297582 | ||||||||
\(202\) | −3.31543 | −0.233273 | ||||||||
\(203\) | −0.150322 | − | 0.260366i | −0.0105506 | − | 0.0182741i | ||||
\(204\) | 7.87937 | − | 13.6475i | 0.551666 | − | 0.955514i | ||||
\(205\) | 9.53131 | + | 16.5087i | 0.665695 | + | 1.15302i | ||||
\(206\) | 3.47567 | − | 6.02004i | 0.242161 | − | 0.419436i | ||||
\(207\) | −1.48404 | + | 2.57043i | −0.103148 | + | 0.178657i | ||||
\(208\) | 2.49956 | − | 4.32937i | 0.173313 | − | 0.300188i | ||||
\(209\) | −8.63684 | −0.597423 | ||||||||
\(210\) | −2.88108 | − | 4.99018i | −0.198814 | − | 0.344355i | ||||
\(211\) | −9.03055 | − | 15.6414i | −0.621689 | − | 1.07680i | −0.989171 | − | 0.146766i | \(-0.953113\pi\) |
0.367482 | − | 0.930031i | \(-0.380220\pi\) | |||||||
\(212\) | −5.55468 | + | 9.62098i | −0.381497 | + | 0.660772i | ||||
\(213\) | −30.9994 | −2.12404 | ||||||||
\(214\) | 13.0509 | + | 22.6048i | 0.892141 | + | 1.54523i | ||||
\(215\) | 19.8777 | 1.35565 | ||||||||
\(216\) | 15.3365 | 1.04352 | ||||||||
\(217\) | 0.706596 | − | 1.42016i | 0.0479668 | − | 0.0964066i | ||||
\(218\) | −9.35940 | −0.633899 | ||||||||
\(219\) | −27.0511 | −1.82795 | ||||||||
\(220\) | 8.37905 | + | 14.5129i | 0.564916 | + | 0.978463i | ||||
\(221\) | −5.44416 | −0.366214 | ||||||||
\(222\) | 12.1572 | − | 21.0569i | 0.815938 | − | 1.41325i | ||||
\(223\) | −1.83304 | − | 3.17492i | −0.122749 | − | 0.212608i | 0.798102 | − | 0.602523i | \(-0.205838\pi\) |
−0.920851 | + | 0.389915i | \(0.872504\pi\) | |||||||
\(224\) | 0.721779 | + | 1.25016i | 0.0482259 | + | 0.0835297i | ||||
\(225\) | 61.7942 | 4.11962 | ||||||||
\(226\) | 0.485038 | − | 0.840111i | 0.0322643 | − | 0.0558833i | ||||
\(227\) | −2.13470 | + | 3.69741i | −0.141685 | + | 0.245405i | −0.928131 | − | 0.372253i | \(-0.878585\pi\) |
0.786446 | + | 0.617659i | \(0.211919\pi\) | |||||||
\(228\) | −2.84778 | + | 4.93249i | −0.188599 | + | 0.326662i | ||||
\(229\) | −10.8694 | − | 18.8264i | −0.718272 | − | 1.24408i | −0.961684 | − | 0.274161i | \(-0.911600\pi\) |
0.243412 | − | 0.969923i | \(-0.421733\pi\) | |||||||
\(230\) | 1.70626 | − | 2.95533i | 0.112507 | − | 0.194869i | ||||
\(231\) | −1.86508 | − | 3.23042i | −0.122714 | − | 0.212546i | ||||
\(232\) | −1.87258 | −0.122941 | ||||||||
\(233\) | −17.3895 | −1.13923 | −0.569613 | − | 0.821913i | \(-0.692907\pi\) | ||||
−0.569613 | + | 0.821913i | \(0.692907\pi\) | |||||||
\(234\) | 5.08212 | + | 8.80250i | 0.332229 | + | 0.575437i | ||||
\(235\) | −26.6018 | + | 46.0757i | −1.73531 | + | 3.00565i | ||||
\(236\) | −3.84798 | − | 6.66489i | −0.250482 | − | 0.433847i | ||||
\(237\) | −11.9881 | + | 20.7641i | −0.778714 | + | 1.34877i | ||||
\(238\) | 1.33658 | − | 2.31502i | 0.0866376 | − | 0.150061i | ||||
\(239\) | −5.05622 | + | 8.75763i | −0.327060 | + | 0.566484i | −0.981927 | − | 0.189260i | \(-0.939391\pi\) |
0.654867 | + | 0.755744i | \(0.272724\pi\) | |||||||
\(240\) | −58.6659 | −3.78687 | ||||||||
\(241\) | 5.39697 | + | 9.34783i | 0.347650 | + | 0.602147i | 0.985831 | − | 0.167739i | \(-0.0536465\pi\) |
−0.638182 | + | 0.769886i | \(0.720313\pi\) | |||||||
\(242\) | 7.12423 | + | 12.3395i | 0.457963 | + | 0.793215i | ||||
\(243\) | 0.901708 | − | 1.56180i | 0.0578446 | − | 0.100190i | ||||
\(244\) | 10.8693 | 0.695834 | ||||||||
\(245\) | 13.6101 | + | 23.5734i | 0.869517 | + | 1.50605i | ||||
\(246\) | 24.9096 | 1.58818 | ||||||||
\(247\) | 1.96764 | 0.125198 | ||||||||
\(248\) | −5.45990 | − | 8.23418i | −0.346704 | − | 0.522871i | ||||
\(249\) | 3.01582 | 0.191120 | ||||||||
\(250\) | −37.1445 | −2.34922 | ||||||||
\(251\) | 11.7025 | + | 20.2693i | 0.738655 | + | 1.27939i | 0.953101 | + | 0.302651i | \(0.0978718\pi\) |
−0.214447 | + | 0.976736i | \(0.568795\pi\) | |||||||
\(252\) | −1.63046 | −0.102709 | ||||||||
\(253\) | 1.10456 | − | 1.91315i | 0.0694428 | − | 0.120278i | ||||
\(254\) | −12.9762 | − | 22.4754i | −0.814198 | − | 1.41023i | ||||
\(255\) | 31.9443 | + | 55.3291i | 2.00043 | + | 3.46484i | ||||
\(256\) | 18.6937 | 1.16836 | ||||||||
\(257\) | −2.05783 | + | 3.56426i | −0.128364 | + | 0.222333i | −0.923043 | − | 0.384697i | \(-0.874306\pi\) |
0.794679 | + | 0.607030i | \(0.207639\pi\) | |||||||
\(258\) | 12.9873 | − | 22.4947i | 0.808556 | − | 1.40046i | ||||
\(259\) | 0.673716 | − | 1.16691i | 0.0418627 | − | 0.0725083i | ||||
\(260\) | −1.90891 | − | 3.30633i | −0.118386 | − | 0.205050i | ||||
\(261\) | 3.11175 | − | 5.38971i | 0.192613 | − | 0.333615i | ||||
\(262\) | 3.11634 | + | 5.39766i | 0.192528 | + | 0.333468i | ||||
\(263\) | −8.74231 | −0.539074 | −0.269537 | − | 0.962990i | \(-0.586871\pi\) | ||||
−0.269537 | + | 0.962990i | \(0.586871\pi\) | |||||||
\(264\) | −23.2335 | −1.42992 | ||||||||
\(265\) | −22.5196 | − | 39.0051i | −1.38337 | − | 2.39606i | ||||
\(266\) | −0.483069 | + | 0.836700i | −0.0296189 | + | 0.0513014i | ||||
\(267\) | −20.9501 | − | 36.2866i | −1.28213 | − | 2.22071i | ||||
\(268\) | 0.686274 | − | 1.18866i | 0.0419209 | − | 0.0726090i | ||||
\(269\) | −6.60006 | + | 11.4316i | −0.402413 | + | 0.696999i | −0.994017 | − | 0.109230i | \(-0.965162\pi\) |
0.591604 | + | 0.806229i | \(0.298495\pi\) | |||||||
\(270\) | 29.3016 | − | 50.7519i | 1.78324 | − | 3.08866i | ||||
\(271\) | 10.2575 | 0.623100 | 0.311550 | − | 0.950230i | \(-0.399152\pi\) | ||||
0.311550 | + | 0.950230i | \(0.399152\pi\) | |||||||
\(272\) | −13.6080 | − | 23.5698i | −0.825107 | − | 1.42913i | ||||
\(273\) | 0.424902 | + | 0.735952i | 0.0257163 | + | 0.0445419i | ||||
\(274\) | −6.63357 | + | 11.4897i | −0.400749 | + | 0.694117i | ||||
\(275\) | −45.9929 | −2.77348 | ||||||||
\(276\) | −0.728398 | − | 1.26162i | −0.0438444 | − | 0.0759407i | ||||
\(277\) | 22.4898 | 1.35128 | 0.675642 | − | 0.737230i | \(-0.263867\pi\) | ||||
0.675642 | + | 0.737230i | \(0.263867\pi\) | |||||||
\(278\) | 28.0278 | 1.68100 | ||||||||
\(279\) | 32.7729 | − | 2.03174i | 1.96206 | − | 0.121637i | ||||
\(280\) | −1.98891 | −0.118860 | ||||||||
\(281\) | 10.3314 | 0.616318 | 0.308159 | − | 0.951335i | \(-0.400287\pi\) | ||||
0.308159 | + | 0.951335i | \(0.400287\pi\) | |||||||
\(282\) | 34.7612 | + | 60.2082i | 2.07000 | + | 3.58535i | ||||
\(283\) | −16.6331 | −0.988737 | −0.494368 | − | 0.869252i | \(-0.664601\pi\) | ||||
−0.494368 | + | 0.869252i | \(0.664601\pi\) | |||||||
\(284\) | 5.04251 | − | 8.73388i | 0.299218 | − | 0.518260i | ||||
\(285\) | −11.5454 | − | 19.9971i | −0.683888 | − | 1.18453i | ||||
\(286\) | −3.78258 | − | 6.55162i | −0.223669 | − | 0.387405i | ||||
\(287\) | 1.38041 | 0.0814833 | ||||||||
\(288\) | −14.9412 | + | 25.8789i | −0.880419 | + | 1.52493i | ||||
\(289\) | −6.31944 | + | 10.9456i | −0.371732 | + | 0.643859i | ||||
\(290\) | −3.57771 | + | 6.19678i | −0.210090 | + | 0.363887i | ||||
\(291\) | 1.96404 | + | 3.40182i | 0.115134 | + | 0.199418i | ||||
\(292\) | 4.40027 | − | 7.62148i | 0.257506 | − | 0.446014i | ||||
\(293\) | −6.40046 | − | 11.0859i | −0.373919 | − | 0.647647i | 0.616246 | − | 0.787554i | \(-0.288653\pi\) |
−0.990165 | + | 0.139907i | \(0.955319\pi\) | |||||||
\(294\) | 35.5693 | 2.07444 | ||||||||
\(295\) | 31.2007 | 1.81657 | ||||||||
\(296\) | −4.19626 | − | 7.26814i | −0.243903 | − | 0.422452i | ||||
\(297\) | 18.9685 | − | 32.8545i | 1.10067 | − | 1.90641i | ||||
\(298\) | −1.52084 | − | 2.63417i | −0.0880999 | − | 0.152593i | ||||
\(299\) | −0.251639 | + | 0.435852i | −0.0145527 | + | 0.0252060i | ||||
\(300\) | −15.1650 | + | 26.2665i | −0.875551 | + | 1.51650i | ||||
\(301\) | 0.719719 | − | 1.24659i | 0.0414839 | − | 0.0718523i | ||||
\(302\) | 24.8868 | 1.43207 | ||||||||
\(303\) | −2.86903 | − | 4.96930i | −0.164821 | − | 0.285479i | ||||
\(304\) | 4.91824 | + | 8.51863i | 0.282080 | + | 0.488577i | ||||
\(305\) | −22.0329 | + | 38.1621i | −1.26160 | + | 2.18516i | ||||
\(306\) | 55.3358 | 3.16334 | ||||||||
\(307\) | −13.9160 | − | 24.1032i | −0.794229 | − | 1.37564i | −0.923328 | − | 0.384013i | \(-0.874542\pi\) |
0.129099 | − | 0.991632i | \(-0.458792\pi\) | |||||||
\(308\) | 1.21353 | 0.0691475 | ||||||||
\(309\) | 12.0308 | 0.684407 | ||||||||
\(310\) | −37.6803 | + | 2.33598i | −2.14010 | + | 0.132675i | ||||
\(311\) | 12.4177 | 0.704142 | 0.352071 | − | 0.935973i | \(-0.385478\pi\) | ||||
0.352071 | + | 0.935973i | \(0.385478\pi\) | |||||||
\(312\) | 5.29304 | 0.299659 | ||||||||
\(313\) | 3.24239 | + | 5.61599i | 0.183271 | + | 0.317435i | 0.942993 | − | 0.332814i | \(-0.107998\pi\) |
−0.759722 | + | 0.650249i | \(0.774665\pi\) | |||||||
\(314\) | −23.7655 | −1.34117 | ||||||||
\(315\) | 3.30507 | − | 5.72455i | 0.186220 | − | 0.322542i | ||||
\(316\) | −3.90010 | − | 6.75517i | −0.219398 | − | 0.380008i | ||||
\(317\) | −14.1705 | − | 24.5439i | −0.795892 | − | 1.37852i | −0.922271 | − | 0.386543i | \(-0.873669\pi\) |
0.126380 | − | 0.991982i | \(-0.459664\pi\) | |||||||
\(318\) | −58.8537 | −3.30035 | ||||||||
\(319\) | −2.31605 | + | 4.01151i | −0.129674 | + | 0.224602i | ||||
\(320\) | −2.48913 | + | 4.31130i | −0.139147 | + | 0.241009i | ||||
\(321\) | −22.5874 | + | 39.1225i | −1.26070 | + | 2.18360i | ||||
\(322\) | −0.123558 | − | 0.214009i | −0.00688564 | − | 0.0119263i | ||||
\(323\) | 5.35607 | − | 9.27699i | 0.298020 | − | 0.516185i | ||||
\(324\) | −3.92428 | − | 6.79706i | −0.218016 | − | 0.377614i | ||||
\(325\) | 10.4781 | 0.581219 | ||||||||
\(326\) | −35.6714 | −1.97565 | ||||||||
\(327\) | −8.09922 | − | 14.0283i | −0.447888 | − | 0.775764i | ||||
\(328\) | 4.29898 | − | 7.44605i | 0.237371 | − | 0.411139i | ||||
\(329\) | 1.92637 | + | 3.33656i | 0.106204 | + | 0.183951i | ||||
\(330\) | −44.3895 | + | 76.8848i | −2.44356 | + | 4.23237i | ||||
\(331\) | 2.59869 | − | 4.50106i | 0.142837 | − | 0.247401i | −0.785727 | − | 0.618573i | \(-0.787711\pi\) |
0.928564 | + | 0.371173i | \(0.121044\pi\) | |||||||
\(332\) | −0.490568 | + | 0.849688i | −0.0269234 | + | 0.0466327i | ||||
\(333\) | 27.8925 | 1.52850 | ||||||||
\(334\) | −9.16700 | − | 15.8777i | −0.501596 | − | 0.868789i | ||||
\(335\) | 2.78227 | + | 4.81903i | 0.152012 | + | 0.263292i | ||||
\(336\) | −2.12414 | + | 3.67912i | −0.115881 | + | 0.200712i | ||||
\(337\) | −11.5640 | −0.629930 | −0.314965 | − | 0.949103i | \(-0.601993\pi\) | ||||
−0.314965 | + | 0.949103i | \(0.601993\pi\) | |||||||
\(338\) | 0.861744 | + | 1.49259i | 0.0468727 | + | 0.0811859i | ||||
\(339\) | 1.67892 | 0.0911866 | ||||||||
\(340\) | −20.7848 | −1.12722 | ||||||||
\(341\) | −24.3926 | + | 1.51221i | −1.32093 | + | 0.0818907i | ||||
\(342\) | −19.9996 | −1.08145 | ||||||||
\(343\) | 3.96541 | 0.214112 | ||||||||
\(344\) | −4.48280 | − | 7.76443i | −0.241696 | − | 0.418630i | ||||
\(345\) | 5.90609 | 0.317973 | ||||||||
\(346\) | −10.6471 | + | 18.4414i | −0.572393 | + | 0.991414i | ||||
\(347\) | 16.3466 | + | 28.3131i | 0.877530 | + | 1.51993i | 0.854043 | + | 0.520202i | \(0.174144\pi\) |
0.0234871 | + | 0.999724i | \(0.492523\pi\) | |||||||
\(348\) | 1.52732 | + | 2.64539i | 0.0818727 | + | 0.141808i | ||||
\(349\) | 19.2350 | 1.02963 | 0.514813 | − | 0.857302i | \(-0.327861\pi\) | ||||
0.514813 | + | 0.857302i | \(0.327861\pi\) | |||||||
\(350\) | −2.57244 | + | 4.45560i | −0.137503 | + | 0.238162i | ||||
\(351\) | −4.32140 | + | 7.48488i | −0.230659 | + | 0.399514i | ||||
\(352\) | 11.1206 | − | 19.2614i | 0.592730 | − | 1.02664i | ||||
\(353\) | 11.8708 | + | 20.5608i | 0.631819 | + | 1.09434i | 0.987180 | + | 0.159614i | \(0.0510248\pi\) |
−0.355360 | + | 0.934729i | \(0.615642\pi\) | |||||||
\(354\) | 20.3853 | − | 35.3084i | 1.08347 | − | 1.87662i | ||||
\(355\) | 20.4432 | + | 35.4086i | 1.08501 | + | 1.87929i | ||||
\(356\) | 13.6314 | 0.722461 | ||||||||
\(357\) | 4.62647 | 0.244859 | ||||||||
\(358\) | 15.8091 | + | 27.3821i | 0.835535 | + | 1.44719i | ||||
\(359\) | 11.1881 | − | 19.3783i | 0.590484 | − | 1.02275i | −0.403683 | − | 0.914899i | \(-0.632270\pi\) |
0.994167 | − | 0.107849i | \(-0.0343964\pi\) | |||||||
\(360\) | −20.5857 | − | 35.6555i | −1.08496 | − | 1.87921i | ||||
\(361\) | 7.56420 | − | 13.1016i | 0.398116 | − | 0.689557i | ||||
\(362\) | −14.5704 | + | 25.2366i | −0.765801 | + | 1.32641i | ||||
\(363\) | −12.3300 | + | 21.3562i | −0.647157 | + | 1.12091i | ||||
\(364\) | −0.276466 | −0.0144908 | ||||||||
\(365\) | 17.8394 | + | 30.8988i | 0.933757 | + | 1.61731i | ||||
\(366\) | 28.7909 | + | 49.8674i | 1.50493 | + | 2.60661i | ||||
\(367\) | 2.13405 | − | 3.69628i | 0.111397 | − | 0.192944i | −0.804937 | − | 0.593360i | \(-0.797801\pi\) |
0.916334 | + | 0.400416i | \(0.131134\pi\) | |||||||
\(368\) | −2.51595 | −0.131153 | ||||||||
\(369\) | 14.2877 | + | 24.7469i | 0.743785 | + | 1.28827i | ||||
\(370\) | −32.0692 | −1.66720 | ||||||||
\(371\) | −3.26150 | −0.169329 | ||||||||
\(372\) | −7.17920 | + | 14.4292i | −0.372224 | + | 0.748119i | ||||
\(373\) | 10.5071 | 0.544035 | 0.272017 | − | 0.962292i | \(-0.412309\pi\) | ||||
0.272017 | + | 0.962292i | \(0.412309\pi\) | |||||||
\(374\) | −41.1859 | −2.12967 | ||||||||
\(375\) | −32.1432 | − | 55.6737i | −1.65987 | − | 2.87498i | ||||
\(376\) | 23.9969 | 1.23754 | ||||||||
\(377\) | 0.527641 | − | 0.913900i | 0.0271749 | − | 0.0470683i | ||||
\(378\) | −2.12187 | − | 3.67518i | −0.109137 | − | 0.189031i | ||||
\(379\) | 5.11343 | + | 8.85671i | 0.262659 | + | 0.454939i | 0.966948 | − | 0.254975i | \(-0.0820672\pi\) |
−0.704289 | + | 0.709914i | \(0.748734\pi\) | |||||||
\(380\) | 7.51209 | 0.385362 | ||||||||
\(381\) | 22.4581 | − | 38.8985i | 1.15056 | − | 1.99283i | ||||
\(382\) | 15.4999 | − | 26.8466i | 0.793042 | − | 1.37359i | ||||
\(383\) | 1.86447 | − | 3.22936i | 0.0952700 | − | 0.165012i | −0.814451 | − | 0.580232i | \(-0.802962\pi\) |
0.909721 | + | 0.415219i | \(0.136295\pi\) | |||||||
\(384\) | 18.3667 | + | 31.8121i | 0.937272 | + | 1.62340i | ||||
\(385\) | −2.45993 | + | 4.26073i | −0.125370 | + | 0.217147i | ||||
\(386\) | −10.9716 | − | 19.0035i | −0.558442 | − | 0.967250i | ||||
\(387\) | 29.7971 | 1.51467 | ||||||||
\(388\) | −1.27792 | −0.0648766 | ||||||||
\(389\) | 1.14376 | + | 1.98105i | 0.0579909 | + | 0.100443i | 0.893563 | − | 0.448937i | \(-0.148197\pi\) |
−0.835573 | + | 0.549380i | \(0.814864\pi\) | |||||||
\(390\) | 10.1128 | − | 17.5158i | 0.512080 | − | 0.886949i | ||||
\(391\) | 1.36996 | + | 2.37285i | 0.0692820 | + | 0.120000i | ||||
\(392\) | 6.13867 | − | 10.6325i | 0.310050 | − | 0.537022i | ||||
\(393\) | −5.39349 | + | 9.34179i | −0.272065 | + | 0.471231i | ||||
\(394\) | 9.00207 | − | 15.5920i | 0.453518 | − | 0.785515i | ||||
\(395\) | 31.6233 | 1.59114 | ||||||||
\(396\) | 12.5604 | + | 21.7552i | 0.631183 | + | 1.09324i | ||||
\(397\) | −10.2554 | − | 17.7629i | −0.514704 | − | 0.891494i | −0.999854 | − | 0.0170631i | \(-0.994568\pi\) |
0.485150 | − | 0.874431i | \(-0.338765\pi\) | |||||||
\(398\) | −2.83000 | + | 4.90170i | −0.141855 | + | 0.245700i | ||||
\(399\) | −1.67211 | −0.0837101 | ||||||||
\(400\) | 26.1906 | + | 45.3634i | 1.30953 | + | 2.26817i | ||||
\(401\) | 1.49557 | 0.0746850 | 0.0373425 | − | 0.999303i | \(-0.488111\pi\) | ||||
0.0373425 | + | 0.999303i | \(0.488111\pi\) | |||||||
\(402\) | 7.27131 | 0.362660 | ||||||||
\(403\) | 5.55710 | − | 0.344510i | 0.276819 | − | 0.0171613i | ||||
\(404\) | 1.86676 | 0.0928747 | ||||||||
\(405\) | 31.8194 | 1.58112 | ||||||||
\(406\) | 0.259079 | + | 0.448738i | 0.0128579 | + | 0.0222705i | ||||
\(407\) | −20.7602 | −1.02904 | ||||||||
\(408\) | 14.4081 | − | 24.9555i | 0.713306 | − | 1.23548i | ||||
\(409\) | −9.99000 | − | 17.3032i | −0.493974 | − | 0.855587i | 0.506002 | − | 0.862532i | \(-0.331123\pi\) |
−0.999976 | + | 0.00694470i | \(0.997789\pi\) | |||||||
\(410\) | −16.4271 | − | 28.4526i | −0.811277 | − | 1.40517i | ||||
\(411\) | −22.9616 | −1.13261 | ||||||||
\(412\) | −1.95698 | + | 3.38959i | −0.0964137 | + | 0.166993i | ||||
\(413\) | 1.12969 | − | 1.95669i | 0.0555886 | − | 0.0962823i | ||||
\(414\) | 2.55772 | − | 4.43010i | 0.125705 | − | 0.217728i | ||||
\(415\) | −1.98884 | − | 3.44478i | −0.0976285 | − | 0.169097i | ||||
\(416\) | −2.53349 | + | 4.38813i | −0.124214 | + | 0.215146i | ||||
\(417\) | 24.2540 | + | 42.0092i | 1.18773 | + | 2.05720i | ||||
\(418\) | 14.8855 | 0.728074 | ||||||||
\(419\) | −11.2655 | −0.550358 | −0.275179 | − | 0.961393i | \(-0.588737\pi\) | ||||
−0.275179 | + | 0.961393i | \(0.588737\pi\) | |||||||
\(420\) | 1.62220 | + | 2.80973i | 0.0791553 | + | 0.137101i | ||||
\(421\) | 10.7086 | − | 18.5479i | 0.521907 | − | 0.903969i | −0.477769 | − | 0.878486i | \(-0.658554\pi\) |
0.999675 | − | 0.0254832i | \(-0.00811243\pi\) | |||||||
\(422\) | 15.5641 | + | 26.9577i | 0.757647 | + | 1.31228i | ||||
\(423\) | −39.8768 | + | 69.0686i | −1.93887 | + | 3.35823i | ||||
\(424\) | −10.1572 | + | 17.5927i | −0.493276 | + | 0.854379i | ||||
\(425\) | 28.5221 | − | 49.4018i | 1.38353 | − | 2.39634i | ||||
\(426\) | 53.4271 | 2.58855 | ||||||||
\(427\) | 1.59551 | + | 2.76350i | 0.0772121 | + | 0.133735i | ||||
\(428\) | −7.34833 | − | 12.7277i | −0.355195 | − | 0.615216i | ||||
\(429\) | 6.54656 | − | 11.3390i | 0.316071 | − | 0.547451i | ||||
\(430\) | −34.2590 | −1.65212 | ||||||||
\(431\) | −17.3927 | − | 30.1251i | −0.837779 | − | 1.45108i | −0.891747 | − | 0.452534i | \(-0.850520\pi\) |
0.0539682 | − | 0.998543i | \(-0.482813\pi\) | |||||||
\(432\) | −43.2064 | −2.07877 | ||||||||
\(433\) | 0.0954850 | 0.00458872 | 0.00229436 | − | 0.999997i | \(-0.499270\pi\) | ||||
0.00229436 | + | 0.999997i | \(0.499270\pi\) | |||||||
\(434\) | −1.21781 | + | 2.44763i | −0.0584567 | + | 0.117490i | ||||
\(435\) | −12.3840 | −0.593766 | ||||||||
\(436\) | 5.26983 | 0.252379 | ||||||||
\(437\) | −0.495135 | − | 0.857599i | −0.0236855 | − | 0.0410245i | ||||
\(438\) | 46.6223 | 2.22770 | ||||||||
\(439\) | −9.99694 | + | 17.3152i | −0.477128 | + | 0.826410i | −0.999656 | − | 0.0262118i | \(-0.991656\pi\) |
0.522528 | + | 0.852622i | \(0.324989\pi\) | |||||||
\(440\) | 15.3218 | + | 26.5381i | 0.730437 | + | 1.26515i | ||||
\(441\) | 20.4019 | + | 35.3370i | 0.971517 | + | 1.68272i | ||||
\(442\) | 9.38295 | 0.446301 | ||||||||
\(443\) | 1.19664 | − | 2.07264i | 0.0568539 | − | 0.0984739i | −0.836198 | − | 0.548428i | \(-0.815226\pi\) |
0.893052 | + | 0.449954i | \(0.148560\pi\) | |||||||
\(444\) | −6.84513 | + | 11.8561i | −0.324856 | + | 0.562667i | ||||
\(445\) | −27.6319 | + | 47.8599i | −1.30988 | + | 2.26878i | ||||
\(446\) | 3.15922 | + | 5.47194i | 0.149594 | + | 0.259104i | ||||
\(447\) | 2.63214 | − | 4.55899i | 0.124496 | − | 0.215633i | ||||
\(448\) | 0.180250 | + | 0.312202i | 0.00851600 | + | 0.0147501i | ||||
\(449\) | −7.00619 | −0.330643 | −0.165321 | − | 0.986240i | \(-0.552866\pi\) | ||||
−0.165321 | + | 0.986240i | \(0.552866\pi\) | |||||||
\(450\) | −106.502 | −5.02054 | ||||||||
\(451\) | −10.6342 | − | 18.4189i | −0.500744 | − | 0.867313i | ||||
\(452\) | −0.273102 | + | 0.473026i | −0.0128456 | + | 0.0222493i | ||||
\(453\) | 21.5359 | + | 37.3014i | 1.01185 | + | 1.75257i | ||||
\(454\) | 3.67913 | − | 6.37244i | 0.172670 | − | 0.299073i | ||||
\(455\) | 0.560420 | − | 0.970677i | 0.0262729 | − | 0.0455060i | ||||
\(456\) | −5.20739 | + | 9.01947i | −0.243858 | + | 0.422375i | ||||
\(457\) | −33.2893 | −1.55721 | −0.778603 | − | 0.627516i | \(-0.784072\pi\) | ||||
−0.778603 | + | 0.627516i | \(0.784072\pi\) | |||||||
\(458\) | 18.7333 | + | 32.4471i | 0.875352 | + | 1.51615i | ||||
\(459\) | 23.5264 | + | 40.7489i | 1.09812 | + | 1.90200i | ||||
\(460\) | −0.960713 | + | 1.66400i | −0.0447935 | + | 0.0775845i | ||||
\(461\) | 27.5968 | 1.28531 | 0.642655 | − | 0.766156i | \(-0.277833\pi\) | ||||
0.642655 | + | 0.766156i | \(0.277833\pi\) | |||||||
\(462\) | 3.21445 | + | 5.56760i | 0.149550 | + | 0.259028i | ||||
\(463\) | 21.9218 | 1.01879 | 0.509396 | − | 0.860532i | \(-0.329869\pi\) | ||||
0.509396 | + | 0.860532i | \(0.329869\pi\) | |||||||
\(464\) | 5.27548 | 0.244908 | ||||||||
\(465\) | −36.1082 | − | 54.4554i | −1.67448 | − | 2.52531i | ||||
\(466\) | 29.9706 | 1.38836 | ||||||||
\(467\) | −29.3072 | −1.35617 | −0.678087 | − | 0.734982i | \(-0.737191\pi\) | ||||
−0.678087 | + | 0.734982i | \(0.737191\pi\) | |||||||
\(468\) | −2.86150 | − | 4.95626i | −0.132273 | − | 0.229103i | ||||
\(469\) | 0.402954 | 0.0186067 | ||||||||
\(470\) | 45.8480 | − | 79.4110i | 2.11481 | − | 3.66296i | ||||
\(471\) | −20.5657 | − | 35.6208i | −0.947615 | − | 1.64132i | ||||
\(472\) | −7.03634 | − | 12.1873i | −0.323874 | − | 0.560966i | ||||
\(473\) | −22.1777 | −1.01973 | ||||||||
\(474\) | 20.6614 | − | 35.7867i | 0.949011 | − | 1.64374i | ||||
\(475\) | −10.3085 | + | 17.8549i | −0.472988 | + | 0.819239i | ||||
\(476\) | −0.752564 | + | 1.30348i | −0.0344937 | + | 0.0597449i | ||||
\(477\) | −33.7574 | − | 58.4695i | −1.54564 | − | 2.67713i | ||||
\(478\) | 8.71434 | − | 15.0937i | 0.398585 | − | 0.690369i | ||||
\(479\) | 5.65436 | + | 9.79363i | 0.258354 | + | 0.447482i | 0.965801 | − | 0.259284i | \(-0.0834865\pi\) |
−0.707447 | + | 0.706766i | \(0.750153\pi\) | |||||||
\(480\) | 59.4622 | 2.71406 | ||||||||
\(481\) | 4.72957 | 0.215650 | ||||||||
\(482\) | −9.30162 | − | 16.1109i | −0.423677 | − | 0.733831i | ||||
\(483\) | 0.213844 | − | 0.370389i | 0.00973024 | − | 0.0168533i | ||||
\(484\) | −4.01131 | − | 6.94780i | −0.182332 | − | 0.315809i | ||||
\(485\) | 2.59045 | − | 4.48679i | 0.117626 | − | 0.203735i | ||||
\(486\) | −1.55408 | + | 2.69175i | −0.0704947 | + | 0.122100i | ||||
\(487\) | −5.74161 | + | 9.94476i | −0.260177 | + | 0.450640i | −0.966289 | − | 0.257460i | \(-0.917114\pi\) |
0.706112 | + | 0.708100i | \(0.250448\pi\) | |||||||
\(488\) | 19.8754 | 0.899715 | ||||||||
\(489\) | −30.8685 | − | 53.4657i | −1.39592 | − | 2.41780i | ||||
\(490\) | −23.4569 | − | 40.6285i | −1.05967 | − | 1.83541i | ||||
\(491\) | −7.35221 | + | 12.7344i | −0.331801 | + | 0.574695i | −0.982865 | − | 0.184327i | \(-0.940989\pi\) |
0.651064 | + | 0.759022i | \(0.274323\pi\) | |||||||
\(492\) | −14.0254 | −0.632313 | ||||||||
\(493\) | −2.87256 | − | 4.97542i | −0.129374 | − | 0.224082i | ||||
\(494\) | −3.39120 | −0.152577 | ||||||||
\(495\) | −101.844 | −4.57754 | ||||||||
\(496\) | 15.3818 | + | 23.1976i | 0.690664 | + | 1.04160i | ||||
\(497\) | 2.96077 | 0.132809 | ||||||||
\(498\) | −5.19774 | −0.232916 | ||||||||
\(499\) | 11.3715 | + | 19.6960i | 0.509057 | + | 0.881712i | 0.999945 | + | 0.0104898i | \(0.00333906\pi\) |
−0.490888 | + | 0.871223i | \(0.663328\pi\) | |||||||
\(500\) | 20.9143 | 0.935315 | ||||||||
\(501\) | 15.8654 | − | 27.4798i | 0.708816 | − | 1.22770i | ||||
\(502\) | −20.1691 | − | 34.9339i | −0.900191 | − | 1.55918i | ||||
\(503\) | 0.814567 | + | 1.41087i | 0.0363197 | + | 0.0629076i | 0.883614 | − | 0.468216i | \(-0.155103\pi\) |
−0.847294 | + | 0.531124i | \(0.821770\pi\) | |||||||
\(504\) | −2.98142 | −0.132803 | ||||||||
\(505\) | −3.78407 | + | 6.55420i | −0.168389 | + | 0.291658i | ||||
\(506\) | −1.90369 | + | 3.29729i | −0.0846293 | + | 0.146582i | ||||
\(507\) | −1.49143 | + | 2.58324i | −0.0662368 | + | 0.114726i | ||||
\(508\) | 7.30627 | + | 12.6548i | 0.324163 | + | 0.561467i | ||||
\(509\) | −7.65500 | + | 13.2589i | −0.339302 | + | 0.587688i | −0.984302 | − | 0.176495i | \(-0.943524\pi\) |
0.645000 | + | 0.764183i | \(0.276858\pi\) | |||||||
\(510\) | −55.0556 | − | 95.3591i | −2.43790 | − | 4.22257i | ||||
\(511\) | 2.58367 | 0.114295 | ||||||||
\(512\) | −7.58874 | −0.335378 | ||||||||
\(513\) | −8.50296 | − | 14.7276i | −0.375415 | − | 0.650237i | ||||
\(514\) | 3.54664 | − | 6.14297i | 0.156436 | − | 0.270955i | ||||
\(515\) | −7.93393 | − | 13.7420i | −0.349611 | − | 0.605544i | ||||
\(516\) | −7.31254 | + | 12.6657i | −0.321917 | + | 0.557576i | ||||
\(517\) | 29.6799 | − | 51.4071i | 1.30532 | − | 2.26088i | ||||
\(518\) | −1.16114 | + | 2.01116i | −0.0510177 | + | 0.0883652i | ||||
\(519\) | −36.8542 | −1.61772 | ||||||||
\(520\) | −3.49060 | − | 6.04589i | −0.153073 | − | 0.265130i | ||||
\(521\) | 9.46953 | + | 16.4017i | 0.414868 | + | 0.718572i | 0.995415 | − | 0.0956551i | \(-0.0304946\pi\) |
−0.580547 | + | 0.814227i | \(0.697161\pi\) | |||||||
\(522\) | −5.36307 | + | 9.28911i | −0.234735 | + | 0.406573i | ||||
\(523\) | 29.5628 | 1.29269 | 0.646346 | − | 0.763044i | \(-0.276296\pi\) | ||||
0.646346 | + | 0.763044i | \(0.276296\pi\) | |||||||
\(524\) | −1.75466 | − | 3.03916i | −0.0766527 | − | 0.132766i | ||||
\(525\) | −8.90431 | −0.388616 | ||||||||
\(526\) | 15.0673 | 0.656964 | ||||||||
\(527\) | 13.5026 | − | 27.1383i | 0.588181 | − | 1.18216i | ||||
\(528\) | 65.4541 | 2.84853 | ||||||||
\(529\) | −22.7467 | −0.988987 | ||||||||
\(530\) | 38.8122 | + | 67.2248i | 1.68590 | + | 2.92006i | ||||
\(531\) | 46.7705 | 2.02967 | ||||||||
\(532\) | 0.271993 | − | 0.471106i | 0.0117924 | − | 0.0204250i | ||||
\(533\) | 2.42267 | + | 4.19619i | 0.104937 | + | 0.181757i | ||||
\(534\) | 36.1073 | + | 62.5396i | 1.56251 | + | 2.70635i | ||||
\(535\) | 59.5827 | 2.57599 | ||||||||
\(536\) | 1.25491 | − | 2.17356i | 0.0542037 | − | 0.0938836i | ||||
\(537\) | −27.3610 | + | 47.3906i | −1.18071 | + | 2.04505i | ||||
\(538\) | 11.3751 | − | 19.7023i | 0.490416 | − | 0.849426i | ||||
\(539\) | −15.1849 | − | 26.3011i | −0.654061 | − | 1.13287i | ||||
\(540\) | −16.4983 | + | 28.5759i | −0.709975 | + | 1.22971i | ||||
\(541\) | −9.19666 | − | 15.9291i | −0.395395 | − | 0.684844i | 0.597756 | − | 0.801678i | \(-0.296059\pi\) |
−0.993152 | + | 0.116833i | \(0.962726\pi\) | |||||||
\(542\) | −17.6787 | −0.759366 | ||||||||
\(543\) | −50.4342 | −2.16434 | ||||||||
\(544\) | 13.7927 | + | 23.8897i | 0.591358 | + | 1.02426i | ||||
\(545\) | −10.6824 | + | 18.5024i | −0.457583 | + | 0.792557i | ||||
\(546\) | −0.732314 | − | 1.26841i | −0.0313402 | − | 0.0542828i | ||||
\(547\) | 12.0781 | − | 20.9198i | 0.516421 | − | 0.894467i | −0.483397 | − | 0.875401i | \(-0.660597\pi\) |
0.999818 | − | 0.0190660i | \(-0.00606927\pi\) | |||||||
\(548\) | 3.73505 | − | 6.46929i | 0.159553 | − | 0.276354i | ||||
\(549\) | −33.0279 | + | 57.2059i | −1.40959 | + | 2.44149i | ||||
\(550\) | 79.2683 | 3.38001 | ||||||||
\(551\) | 1.03821 | + | 1.79823i | 0.0442291 | + | 0.0766070i | ||||
\(552\) | −1.33193 | − | 2.30698i | −0.0566909 | − | 0.0981915i | ||||
\(553\) | 1.14500 | − | 1.98319i | 0.0486902 | − | 0.0843339i | ||||
\(554\) | −38.7610 | −1.64680 | ||||||||
\(555\) | −27.7513 | − | 48.0667i | −1.17798 | − | 2.04032i | ||||
\(556\) | −15.7811 | −0.669268 | ||||||||
\(557\) | −34.7425 | −1.47209 | −0.736043 | − | 0.676935i | \(-0.763308\pi\) | ||||
−0.736043 | + | 0.676935i | \(0.763308\pi\) | |||||||
\(558\) | −56.4837 | + | 3.50169i | −2.39115 | + | 0.148238i | ||||
\(559\) | 5.05252 | 0.213699 | ||||||||
\(560\) | 5.60322 | 0.236779 | ||||||||
\(561\) | −35.6405 | − | 61.7312i | −1.50474 | − | 2.60629i | ||||
\(562\) | −17.8060 | −0.751101 | ||||||||
\(563\) | 5.75857 | − | 9.97414i | 0.242695 | − | 0.420360i | −0.718786 | − | 0.695231i | \(-0.755302\pi\) |
0.961481 | + | 0.274871i | \(0.0886353\pi\) | |||||||
\(564\) | −19.5724 | − | 33.9004i | −0.824146 | − | 1.42746i | ||||
\(565\) | −1.10720 | − | 1.91773i | −0.0465802 | − | 0.0806793i | ||||
\(566\) | 28.6670 | 1.20496 | ||||||||
\(567\) | 1.15210 | − | 1.99549i | 0.0483835 | − | 0.0838027i | ||||
\(568\) | 9.22063 | − | 15.9706i | 0.386889 | − | 0.670112i | ||||
\(569\) | −12.8090 | + | 22.1859i | −0.536982 | + | 0.930079i | 0.462083 | + | 0.886837i | \(0.347102\pi\) |
−0.999065 | + | 0.0432427i | \(0.986231\pi\) | |||||||
\(570\) | 19.8983 | + | 34.4649i | 0.833448 | + | 1.44357i | ||||
\(571\) | −13.8809 | + | 24.0424i | −0.580896 | + | 1.00614i | 0.414477 | + | 0.910060i | \(0.363964\pi\) |
−0.995373 | + | 0.0960819i | \(0.969369\pi\) | |||||||
\(572\) | 2.12979 | + | 3.68890i | 0.0890509 | + | 0.154241i | ||||
\(573\) | 53.6517 | 2.24133 | ||||||||
\(574\) | −2.37913 | −0.0993029 | ||||||||
\(575\) | −2.63669 | − | 4.56688i | −0.109958 | − | 0.190452i | ||||
\(576\) | −3.73126 | + | 6.46274i | −0.155469 | + | 0.269281i | ||||
\(577\) | −9.97895 | − | 17.2840i | −0.415429 | − | 0.719544i | 0.580044 | − | 0.814585i | \(-0.303035\pi\) |
−0.995473 | + | 0.0950406i | \(0.969702\pi\) | |||||||
\(578\) | 10.8915 | − | 18.8646i | 0.453026 | − | 0.784664i | ||||
\(579\) | 18.9888 | − | 32.8895i | 0.789147 | − | 1.36684i | ||||
\(580\) | 2.01444 | − | 3.48911i | 0.0836449 | − | 0.144877i | ||||
\(581\) | −0.288043 | −0.0119500 | ||||||||
\(582\) | −3.38500 | − | 5.86299i | −0.140313 | − | 0.243029i | ||||
\(583\) | 25.1253 | + | 43.5183i | 1.04058 | + | 1.80234i | ||||
\(584\) | 8.04624 | − | 13.9365i | 0.332956 | − | 0.576697i | ||||
\(585\) | 23.2020 | 0.959284 | ||||||||
\(586\) | 11.0311 | + | 19.1065i | 0.455691 | + | 0.789281i | ||||
\(587\) | 16.8075 | 0.693719 | 0.346859 | − | 0.937917i | \(-0.387248\pi\) | ||||
0.346859 | + | 0.937917i | \(0.387248\pi\) | |||||||
\(588\) | −20.0274 | −0.825914 | ||||||||
\(589\) | −4.88012 | + | 9.80837i | −0.201082 | + | 0.404147i | ||||
\(590\) | −53.7740 | −2.21384 | ||||||||
\(591\) | 31.1600 | 1.28175 | ||||||||
\(592\) | 11.8218 | + | 20.4760i | 0.485875 | + | 0.841560i | ||||
\(593\) | 35.3173 | 1.45031 | 0.725154 | − | 0.688586i | \(-0.241768\pi\) | ||||
0.725154 | + | 0.688586i | \(0.241768\pi\) | |||||||
\(594\) | −32.6921 | + | 56.6243i | −1.34137 | + | 2.32332i | ||||
\(595\) | −3.05102 | − | 5.28452i | −0.125080 | − | 0.216644i | ||||
\(596\) | 0.856312 | + | 1.48318i | 0.0350759 | + | 0.0607532i | ||||
\(597\) | −9.79583 | −0.400917 | ||||||||
\(598\) | 0.433697 | − | 0.751185i | 0.0177352 | − | 0.0307183i | ||||
\(599\) | 3.45578 | − | 5.98559i | 0.141200 | − | 0.244565i | −0.786749 | − | 0.617273i | \(-0.788237\pi\) |
0.927949 | + | 0.372708i | \(0.121571\pi\) | |||||||
\(600\) | −27.7304 | + | 48.0305i | −1.13209 | + | 1.96084i | ||||
\(601\) | 14.3145 | + | 24.7935i | 0.583901 | + | 1.01135i | 0.995011 | + | 0.0997610i | \(0.0318078\pi\) |
−0.411110 | + | 0.911586i | \(0.634859\pi\) | |||||||
\(602\) | −1.24043 | + | 2.14848i | −0.0505561 | + | 0.0875657i | ||||
\(603\) | 4.17068 | + | 7.22384i | 0.169843 | + | 0.294177i | ||||
\(604\) | −14.0126 | −0.570163 | ||||||||
\(605\) | 32.5250 | 1.32233 | ||||||||
\(606\) | 4.94474 | + | 8.56453i | 0.200866 | + | 0.347910i | ||||
\(607\) | −9.12245 | + | 15.8006i | −0.370269 | + | 0.641325i | −0.989607 | − | 0.143800i | \(-0.954068\pi\) |
0.619338 | + | 0.785125i | \(0.287401\pi\) | |||||||
\(608\) | −4.98499 | − | 8.63425i | −0.202168 | − | 0.350165i | ||||
\(609\) | −0.448391 | + | 0.776637i | −0.0181697 | + | 0.0314709i | ||||
\(610\) | 37.9735 | − | 65.7720i | 1.53750 | − | 2.66303i | ||||
\(611\) | −6.76166 | + | 11.7115i | −0.273547 | + | 0.473798i | ||||
\(612\) | −31.1569 | −1.25944 | ||||||||
\(613\) | 20.7489 | + | 35.9382i | 0.838042 | + | 1.45153i | 0.891529 | + | 0.452963i | \(0.149633\pi\) |
−0.0534876 | + | 0.998569i | \(0.517034\pi\) | |||||||
\(614\) | 23.9841 | + | 41.5417i | 0.967919 | + | 1.67649i | ||||
\(615\) | 28.4306 | − | 49.2433i | 1.14643 | − | 1.98568i | ||||
\(616\) | 2.21905 | 0.0894079 | ||||||||
\(617\) | −2.29891 | − | 3.98183i | −0.0925506 | − | 0.160302i | 0.816033 | − | 0.578005i | \(-0.196169\pi\) |
−0.908584 | + | 0.417703i | \(0.862835\pi\) | |||||||
\(618\) | −20.7349 | −0.834081 | ||||||||
\(619\) | −34.4649 | −1.38526 | −0.692630 | − | 0.721293i | \(-0.743548\pi\) | ||||
−0.692630 | + | 0.721293i | \(0.743548\pi\) | |||||||
\(620\) | 21.2160 | − | 1.31528i | 0.852055 | − | 0.0528229i | ||||
\(621\) | 4.34973 | 0.174549 | ||||||||
\(622\) | −21.4017 | −0.858131 | ||||||||
\(623\) | 2.00096 | + | 3.46576i | 0.0801667 | + | 0.138853i | ||||
\(624\) | −14.9117 | −0.596946 | ||||||||
\(625\) | −16.1998 | + | 28.0589i | −0.647992 | + | 1.12236i | ||||
\(626\) | −5.58823 | − | 9.67910i | −0.223351 | − | 0.386855i | ||||
\(627\) | 12.8813 | + | 22.3110i | 0.514428 | + | 0.891016i | ||||
\(628\) | 13.3812 | 0.533969 | ||||||||
\(629\) | 12.8743 | − | 22.2989i | 0.513330 | − | 0.889114i | ||||
\(630\) | −5.69625 | + | 9.86620i | −0.226944 | + | 0.393079i | ||||
\(631\) | −1.75803 | + | 3.04501i | −0.0699863 | + | 0.121220i | −0.898895 | − | 0.438164i | \(-0.855629\pi\) |
0.828909 | + | 0.559384i | \(0.188962\pi\) | |||||||
\(632\) | −7.13164 | − | 12.3524i | −0.283682 | − | 0.491351i | ||||
\(633\) | −26.9369 | + | 46.6561i | −1.07065 | + | 1.85441i | ||||
\(634\) | 24.4226 | + | 42.3012i | 0.969946 | + | 1.68000i | ||||
\(635\) | −59.2416 | −2.35093 | ||||||||
\(636\) | 33.1377 | 1.31400 | ||||||||
\(637\) | 3.45942 | + | 5.99189i | 0.137067 | + | 0.237407i | ||||
\(638\) | 3.99168 | − | 6.91380i | 0.158032 | − | 0.273720i | ||||
\(639\) | 30.6448 | + | 53.0783i | 1.21229 | + | 2.09974i | ||||
\(640\) | 24.2246 | − | 41.9582i | 0.957560 | − | 1.65854i | ||||
\(641\) | −5.51565 | + | 9.55339i | −0.217855 | + | 0.377336i | −0.954152 | − | 0.299322i | \(-0.903239\pi\) |
0.736297 | + | 0.676659i | \(0.236573\pi\) | |||||||
\(642\) | 38.9291 | − | 67.4271i | 1.53641 | − | 2.66114i | ||||
\(643\) | −27.8612 | −1.09874 | −0.549369 | − | 0.835580i | \(-0.685132\pi\) | ||||
−0.549369 | + | 0.835580i | \(0.685132\pi\) | |||||||
\(644\) | 0.0695698 | + | 0.120498i | 0.00274143 | + | 0.00474830i | ||||
\(645\) | −29.6462 | − | 51.3488i | −1.16732 | − | 2.02186i | ||||
\(646\) | −9.23113 | + | 15.9888i | −0.363194 | + | 0.629070i | ||||
\(647\) | 11.1755 | 0.439354 | 0.219677 | − | 0.975573i | \(-0.429500\pi\) | ||||
0.219677 | + | 0.975573i | \(0.429500\pi\) | |||||||
\(648\) | −7.17587 | − | 12.4290i | −0.281895 | − | 0.488256i | ||||
\(649\) | −34.8109 | −1.36645 | ||||||||
\(650\) | −18.0588 | −0.708326 | ||||||||
\(651\) | −4.72245 | + | 0.292767i | −0.185087 | + | 0.0114744i | ||||
\(652\) | 20.0848 | 0.786583 | ||||||||
\(653\) | 9.43311 | 0.369146 | 0.184573 | − | 0.982819i | \(-0.440910\pi\) | ||||
0.184573 | + | 0.982819i | \(0.440910\pi\) | |||||||
\(654\) | 13.9589 | + | 24.1775i | 0.545837 | + | 0.945417i | ||||
\(655\) | 14.2274 | 0.555909 | ||||||||
\(656\) | −12.1112 | + | 20.9773i | −0.472864 | + | 0.819024i | ||||
\(657\) | 26.7417 | + | 46.3179i | 1.04329 | + | 1.80704i | ||||
\(658\) | −3.32007 | − | 5.75053i | −0.129430 | − | 0.224179i | ||||
\(659\) | −8.42384 | −0.328146 | −0.164073 | − | 0.986448i | \(-0.552463\pi\) | ||||
−0.164073 | + | 0.986448i | \(0.552463\pi\) | |||||||
\(660\) | 24.9936 | − | 43.2902i | 0.972874 | − | 1.68507i | ||||
\(661\) | −16.5657 | + | 28.6926i | −0.644330 | + | 1.11601i | 0.340126 | + | 0.940380i | \(0.389530\pi\) |
−0.984456 | + | 0.175633i | \(0.943803\pi\) | |||||||
\(662\) | −4.47881 | + | 7.75753i | −0.174074 | + | 0.301505i | ||||
\(663\) | 8.11960 | + | 14.0636i | 0.315339 | + | 0.546183i | ||||
\(664\) | −0.897043 | + | 1.55372i | −0.0348120 | + | 0.0602962i | ||||
\(665\) | 1.10270 | + | 1.90994i | 0.0427611 | + | 0.0740643i | ||||
\(666\) | −48.0725 | −1.86277 | ||||||||
\(667\) | −0.531100 | −0.0205643 | ||||||||
\(668\) | 5.16150 | + | 8.93997i | 0.199704 | + | 0.345898i | ||||
\(669\) | −5.46771 | + | 9.47036i | −0.211394 | + | 0.366145i | ||||
\(670\) | −4.79521 | − | 8.30554i | −0.185255 | − | 0.320871i | ||||
\(671\) | 24.5823 | − | 42.5779i | 0.948991 | − | 1.64370i | ||||
\(672\) | 2.15297 | − | 3.72905i | 0.0830526 | − | 0.143851i | ||||
\(673\) | 3.76690 | − | 6.52447i | 0.145203 | − | 0.251500i | −0.784245 | − | 0.620451i | \(-0.786950\pi\) |
0.929449 | + | 0.368951i | \(0.120283\pi\) | |||||||
\(674\) | 19.9304 | 0.767690 | ||||||||
\(675\) | −45.2799 | − | 78.4271i | −1.74283 | − | 3.01866i | ||||
\(676\) | −0.485207 | − | 0.840403i | −0.0186618 | − | 0.0323232i | ||||
\(677\) | 13.5846 | − | 23.5293i | 0.522100 | − | 0.904303i | −0.477570 | − | 0.878594i | \(-0.658482\pi\) |
0.999669 | − | 0.0257096i | \(-0.00818451\pi\) | |||||||
\(678\) | −2.89361 | −0.111128 | ||||||||
\(679\) | −0.187587 | − | 0.324910i | −0.00719892 | − | 0.0124689i | ||||
\(680\) | −38.0067 | −1.45749 | ||||||||
\(681\) | 12.7350 | 0.488008 | ||||||||
\(682\) | 42.0403 | − | 2.60628i | 1.60981 | − | 0.0997995i | ||||
\(683\) | −27.6752 | −1.05896 | −0.529481 | − | 0.848322i | \(-0.677613\pi\) | ||||
−0.529481 | + | 0.848322i | \(0.677613\pi\) | |||||||
\(684\) | 11.2608 | 0.430567 | ||||||||
\(685\) | 15.1425 | + | 26.2276i | 0.578565 | + | 1.00210i | ||||
\(686\) | −6.83434 | −0.260936 | ||||||||
\(687\) | −32.4220 | + | 56.1566i | −1.23698 | + | 2.14251i | ||||
\(688\) | 12.6291 | + | 21.8742i | 0.481479 | + | 0.833946i | ||||
\(689\) | −5.72403 | − | 9.91431i | −0.218068 | − | 0.377705i | ||||
\(690\) | −10.1791 | −0.387511 | ||||||||
\(691\) | 17.3549 | − | 30.0596i | 0.660213 | − | 1.14352i | −0.320346 | − | 0.947301i | \(-0.603799\pi\) |
0.980559 | − | 0.196222i | \(-0.0628674\pi\) | |||||||
\(692\) | 5.99488 | − | 10.3834i | 0.227891 | − | 0.394719i | ||||
\(693\) | −3.68750 | + | 6.38693i | −0.140076 | + | 0.242620i | ||||
\(694\) | −28.1731 | − | 48.7973i | −1.06944 | − | 1.85232i | ||||
\(695\) | 31.9896 | − | 55.4076i | 1.21343 | − | 2.10173i | ||||
\(696\) | 2.79282 | + | 4.83731i | 0.105862 | + | 0.183358i | ||||
\(697\) | 26.3788 | 0.999168 | ||||||||
\(698\) | −33.1513 | −1.25480 | ||||||||
\(699\) | 25.9353 | + | 44.9212i | 0.980963 | + | 1.69908i | ||||
\(700\) | 1.44842 | − | 2.50873i | 0.0547450 | − | 0.0948212i | ||||
\(701\) | 14.9666 | + | 25.9228i | 0.565279 | + | 0.979092i | 0.997024 | + | 0.0770964i | \(0.0245649\pi\) |
−0.431744 | + | 0.901996i | \(0.642102\pi\) | |||||||
\(702\) | 7.44789 | − | 12.9001i | 0.281102 | − | 0.486883i | ||||
\(703\) | −4.65304 | + | 8.05930i | −0.175493 | + | 0.303962i | ||||
\(704\) | 2.77715 | − | 4.81016i | 0.104668 | − | 0.181290i | ||||
\(705\) | 158.699 | 5.97696 | ||||||||
\(706\) | −20.4592 | − | 35.4364i | −0.769992 | − | 1.33367i | ||||
\(707\) | 0.274023 | + | 0.474621i | 0.0103057 | + | 0.0178500i | ||||
\(708\) | −11.4780 | + | 19.8805i | −0.431369 | + | 0.747154i | ||||
\(709\) | −23.2378 | −0.872715 | −0.436357 | − | 0.899773i | \(-0.643732\pi\) | ||||
−0.436357 | + | 0.899773i | \(0.643732\pi\) | |||||||
\(710\) | −35.2336 | − | 61.0263i | −1.32229 | − | 2.29028i | ||||
\(711\) | 47.4040 | 1.77779 | ||||||||
\(712\) | 24.9261 | 0.934144 | ||||||||
\(713\) | −1.54854 | − | 2.33538i | −0.0579932 | − | 0.0874606i | ||||
\(714\) | −7.97367 | −0.298407 | ||||||||
\(715\) | −17.2690 | −0.645825 | ||||||||
\(716\) | −8.90133 | − | 15.4176i | −0.332658 | − | 0.576181i | ||||
\(717\) | 30.1640 | 1.12650 | ||||||||
\(718\) | −19.2825 | + | 33.3983i | −0.719617 | + | 1.24641i | ||||
\(719\) | −24.6681 | − | 42.7265i | −0.919966 | − | 1.59343i | −0.799463 | − | 0.600715i | \(-0.794882\pi\) |
−0.120503 | − | 0.992713i | \(-0.538451\pi\) | |||||||
\(720\) | 57.9948 | + | 100.450i | 2.16134 | + | 3.74355i | ||||
\(721\) | −1.14907 | −0.0427935 | ||||||||
\(722\) | −13.0368 | + | 22.5804i | −0.485180 | + | 0.840356i | ||||
\(723\) | 16.0984 | − | 27.8833i | 0.598708 | − | 1.03699i | ||||
\(724\) | 8.20387 | − | 14.2095i | 0.304894 | − | 0.528092i | ||||
\(725\) | 5.52866 | + | 9.57591i | 0.205329 | + | 0.355640i | ||||
\(726\) | 21.2506 | − | 36.8071i | 0.788684 | − | 1.36604i | ||||
\(727\) | −2.15207 | − | 3.72749i | −0.0798157 | − | 0.138245i | 0.823355 | − | 0.567527i | \(-0.192100\pi\) |
−0.903170 | + | 0.429282i | \(0.858767\pi\) | |||||||
\(728\) | −0.505541 | −0.0187366 | ||||||||
\(729\) | −29.6429 | −1.09789 | ||||||||
\(730\) | −30.7460 | − | 53.2537i | −1.13796 | − | 1.97101i | ||||
\(731\) | 13.7534 | − | 23.8215i | 0.508686 | − | 0.881070i | ||||
\(732\) | −16.2108 | − | 28.0779i | −0.599168 | − | 1.03779i | ||||
\(733\) | −19.3357 | + | 33.4904i | −0.714179 | + | 1.23699i | 0.249096 | + | 0.968479i | \(0.419866\pi\) |
−0.963275 | + | 0.268516i | \(0.913467\pi\) | |||||||
\(734\) | −3.67801 | + | 6.37051i | −0.135758 | + | 0.235140i | ||||
\(735\) | 40.5971 | − | 70.3162i | 1.49745 | − | 2.59365i | ||||
\(736\) | 2.55010 | 0.0939979 | ||||||||
\(737\) | −3.10420 | − | 5.37664i | −0.114345 | − | 0.198051i | ||||
\(738\) | −24.6246 | − | 42.6511i | −0.906444 | − | 1.57001i | ||||
\(739\) | 21.8031 | − | 37.7642i | 0.802042 | − | 1.38918i | −0.116228 | − | 0.993223i | \(-0.537080\pi\) |
0.918270 | − | 0.395955i | \(-0.129586\pi\) | |||||||
\(740\) | 18.0566 | 0.663775 | ||||||||
\(741\) | −2.93460 | − | 5.08288i | −0.107805 | − | 0.186724i | ||||
\(742\) | 5.62116 | 0.206359 | ||||||||
\(743\) | 16.5682 | 0.607830 | 0.303915 | − | 0.952699i | \(-0.401706\pi\) | ||||
0.303915 | + | 0.952699i | \(0.401706\pi\) | |||||||
\(744\) | −13.1277 | + | 26.3849i | −0.481287 | + | 0.967319i | ||||
\(745\) | −6.94326 | −0.254381 | ||||||||
\(746\) | −18.1088 | −0.663010 | ||||||||
\(747\) | −2.98132 | − | 5.16380i | −0.109081 | − | 0.188934i | ||||
\(748\) | 23.1898 | 0.847904 | ||||||||
\(749\) | 2.15733 | − | 3.73661i | 0.0788273 | − | 0.136533i | ||||
\(750\) | 55.3985 | + | 95.9530i | 2.02287 | + | 3.50371i | ||||
\(751\) | −2.00080 | − | 3.46548i | −0.0730101 | − | 0.126457i | 0.827209 | − | 0.561894i | \(-0.189927\pi\) |
−0.900219 | + | 0.435437i | \(0.856594\pi\) | |||||||
\(752\) | −67.6047 | −2.46529 | ||||||||
\(753\) | 34.9069 | − | 60.4606i | 1.27208 | − | 2.20331i | ||||
\(754\) | −0.909383 | + | 1.57510i | −0.0331178 | + | 0.0573617i | ||||
\(755\) | 28.4046 | − | 49.1982i | 1.03375 | − | 1.79051i | ||||
\(756\) | 1.19472 | + | 2.06932i | 0.0434516 | + | 0.0752604i | ||||
\(757\) | 10.4037 | − | 18.0198i | 0.378129 | − | 0.654939i | −0.612661 | − | 0.790346i | \(-0.709901\pi\) |
0.990790 | + | 0.135407i | \(0.0432341\pi\) | |||||||
\(758\) | −8.81293 | − | 15.2644i | −0.320100 | − | 0.554430i | ||||
\(759\) | −6.58948 | −0.239183 | ||||||||
\(760\) | 13.7365 | 0.498274 | ||||||||
\(761\) | −3.57006 | − | 6.18352i | −0.129415 | − | 0.224153i | 0.794035 | − | 0.607872i | \(-0.207976\pi\) |
−0.923450 | + | 0.383719i | \(0.874643\pi\) | |||||||
\(762\) | −38.7062 | + | 67.0411i | −1.40218 | + | 2.42864i | ||||
\(763\) | 0.773562 | + | 1.33985i | 0.0280048 | + | 0.0485058i | ||||
\(764\) | −8.72723 | + | 15.1160i | −0.315740 | + | 0.546878i | ||||
\(765\) | 63.1577 | − | 109.392i | 2.28347 | − | 3.95509i | ||||
\(766\) | −3.21339 | + | 5.56576i | −0.116105 | + | 0.201099i | ||||
\(767\) | 7.93059 | 0.286357 | ||||||||
\(768\) | −27.8804 | − | 48.2902i | −1.00605 | − | 1.74252i | ||||
\(769\) | −10.9620 | − | 18.9867i | −0.395299 | − | 0.684677i | 0.597841 | − | 0.801615i | \(-0.296026\pi\) |
−0.993139 | + | 0.116938i | \(0.962692\pi\) | |||||||
\(770\) | 4.23967 | − | 7.34332i | 0.152787 | − | 0.264635i | ||||
\(771\) | 12.2764 | 0.442126 | ||||||||
\(772\) | 6.17761 | + | 10.6999i | 0.222337 | + | 0.385099i | ||||
\(773\) | −46.6454 | −1.67772 | −0.838859 | − | 0.544348i | \(-0.816777\pi\) | ||||
−0.838859 | + | 0.544348i | \(0.816777\pi\) | |||||||
\(774\) | −51.3550 | −1.84592 | ||||||||
\(775\) | −25.9876 | + | 52.2315i | −0.933503 | + | 1.87621i | ||||
\(776\) | −2.33678 | −0.0838855 | ||||||||
\(777\) | −4.01921 | −0.144188 | ||||||||
\(778\) | −1.97126 | − | 3.41432i | −0.0706730 | − | 0.122409i | ||||
\(779\) | −9.53388 | −0.341587 | ||||||||
\(780\) | −5.69402 | + | 9.86233i | −0.203879 | + | 0.353128i | ||||
\(781\) | −22.8086 | − | 39.5057i | −0.816157 | − | 1.41362i | ||||
\(782\) | −2.36112 | − | 4.08957i | −0.0844334 | − | 0.146243i | ||||
\(783\) | −9.12059 | −0.325943 | ||||||||
\(784\) | −17.2941 | + | 29.9542i | −0.617645 | + | 1.06979i | ||||
\(785\) | −27.1248 | + | 46.9816i | −0.968127 | + | 1.67685i | ||||
\(786\) | 9.29561 | − | 16.1005i | 0.331564 | − | 0.574285i | ||||
\(787\) | 11.2857 | + | 19.5475i | 0.402293 | + | 0.696793i | 0.994002 | − | 0.109359i | \(-0.0348798\pi\) |
−0.591709 | + | 0.806152i | \(0.701546\pi\) | |||||||
\(788\) | −5.06863 | + | 8.77913i | −0.180563 | + | 0.312743i | ||||
\(789\) | 13.0386 | + | 22.5834i | 0.464185 | + | 0.803992i | ||||
\(790\) | −54.5024 | −1.93911 | ||||||||
\(791\) | −0.160355 | −0.00570157 | ||||||||
\(792\) | 22.9677 | + | 39.7812i | 0.816122 | + | 1.41356i | ||||
\(793\) | −5.60033 | + | 9.70006i | −0.198874 | + | 0.344459i | ||||
\(794\) | 17.6751 | + | 30.6141i | 0.627265 | + | 1.08646i | ||||
\(795\) | −67.1729 | + | 116.347i | −2.38238 | + | 4.12640i | ||||
\(796\) | 1.59344 | − | 2.75991i | 0.0564778 | − | 0.0978225i | ||||
\(797\) | 8.14355 | − | 14.1050i | 0.288459 | − | 0.499626i | −0.684983 | − | 0.728559i | \(-0.740190\pi\) |
0.973442 | + | 0.228933i | \(0.0735237\pi\) | |||||||
\(798\) | 2.88186 | 0.102017 | ||||||||
\(799\) | 36.8115 | + | 63.7595i | 1.30230 | + | 2.25565i | ||||
\(800\) | −26.5461 | − | 45.9791i | −0.938545 | − | 1.62561i | ||||
\(801\) | −41.4209 | + | 71.7430i | −1.46353 | + | 2.53492i | ||||
\(802\) | −2.57759 | −0.0910179 | ||||||||
\(803\) | −19.9036 | − | 34.4740i | −0.702383 | − | 1.21656i | ||||
\(804\) | −4.09412 | −0.144389 | ||||||||
\(805\) | −0.564095 | −0.0198817 | ||||||||
\(806\) | −9.57759 | + | 0.593760i | −0.337356 | + | 0.0209143i | ||||
\(807\) | 39.3742 | 1.38604 | ||||||||
\(808\) | 3.41352 | 0.120087 | ||||||||
\(809\) | −14.5623 | − | 25.2227i | −0.511984 | − | 0.886783i | −0.999903 | − | 0.0138940i | \(-0.995577\pi\) |
0.487919 | − | 0.872889i | \(-0.337756\pi\) | |||||||
\(810\) | −54.8404 | −1.92689 | ||||||||
\(811\) | 21.1350 | − | 36.6070i | 0.742152 | − | 1.28544i | −0.209362 | − | 0.977838i | \(-0.567139\pi\) |
0.951514 | − | 0.307606i | \(-0.0995280\pi\) | |||||||
\(812\) | −0.145875 | − | 0.252663i | −0.00511921 | − | 0.00886673i | ||||
\(813\) | −15.2984 | − | 26.4976i | −0.536538 | − | 0.929312i | ||||
\(814\) | 35.7799 | 1.25409 | ||||||||
\(815\) | −40.7136 | + | 70.5181i | −1.42614 | + | 2.47014i | ||||
\(816\) | −40.5909 | + | 70.3055i | −1.42097 | + | 2.46118i | ||||
\(817\) | −4.97076 | + | 8.60962i | −0.173905 | + | 0.301212i | ||||
\(818\) | 17.2177 | + | 29.8218i | 0.602001 | + | 1.04270i | ||||
\(819\) | 0.840083 | − | 1.45507i | 0.0293549 | − | 0.0508441i | ||||
\(820\) | 9.24931 | + | 16.0203i | 0.323000 | + | 0.559452i | ||||
\(821\) | −10.9597 | −0.382496 | −0.191248 | − | 0.981542i | \(-0.561253\pi\) | ||||
−0.191248 | + | 0.981542i | \(0.561253\pi\) | |||||||
\(822\) | 39.5741 | 1.38031 | ||||||||
\(823\) | 14.0680 | + | 24.3665i | 0.490380 | + | 0.849362i | 0.999939 | − | 0.0110733i | \(-0.00352481\pi\) |
−0.509559 | + | 0.860436i | \(0.670191\pi\) | |||||||
\(824\) | −3.57850 | + | 6.19815i | −0.124663 | + | 0.215923i | ||||
\(825\) | 68.5953 | + | 118.811i | 2.38818 | + | 4.13645i | ||||
\(826\) | −1.94702 | + | 3.37233i | −0.0677453 | + | 0.117338i | ||||
\(827\) | −3.01037 | + | 5.21411i | −0.104681 | + | 0.181312i | −0.913608 | − | 0.406597i | \(-0.866715\pi\) |
0.808927 | + | 0.587909i | \(0.200049\pi\) | |||||||
\(828\) | −1.44013 | + | 2.49438i | −0.0500480 | + | 0.0866856i | ||||
\(829\) | −48.0842 | −1.67003 | −0.835017 | − | 0.550223i | \(-0.814543\pi\) | ||||
−0.835017 | + | 0.550223i | \(0.814543\pi\) | |||||||
\(830\) | 3.42775 | + | 5.93703i | 0.118979 | + | 0.206077i | ||||
\(831\) | −33.5421 | − | 58.0966i | −1.16356 | − | 2.01535i | ||||
\(832\) | −0.632687 | + | 1.09585i | −0.0219345 | + | 0.0379916i | ||||
\(833\) | 37.6672 | 1.30509 | ||||||||
\(834\) | −41.8016 | − | 72.4024i | −1.44747 | − | 2.50709i | ||||
\(835\) | −41.8511 | −1.44832 | ||||||||
\(836\) | −8.38131 | −0.289874 | ||||||||
\(837\) | −26.5931 | − | 40.1055i | −0.919190 | − | 1.38625i | ||||
\(838\) | 19.4160 | 0.670716 | ||||||||
\(839\) | 50.1176 | 1.73025 | 0.865126 | − | 0.501555i | \(-0.167238\pi\) | ||||
0.865126 | + | 0.501555i | \(0.167238\pi\) | |||||||
\(840\) | 2.96632 | + | 5.13782i | 0.102348 | + | 0.177272i | ||||
\(841\) | −27.8864 | −0.961599 | ||||||||
\(842\) | −18.4562 | + | 31.9671i | −0.636043 | + | 1.10166i | ||||
\(843\) | −15.4085 | − | 26.6884i | −0.530698 | − | 0.919196i | ||||
\(844\) | −8.76337 | − | 15.1786i | −0.301648 | − | 0.522469i | ||||
\(845\) | 3.93422 | 0.135341 | ||||||||
\(846\) | 68.7271 | − | 119.039i | 2.36289 | − | 4.09264i | ||||
\(847\) | 1.17765 | − | 2.03974i | 0.0404644 | − | 0.0700864i | ||||
\(848\) | 28.6151 | − | 49.5629i | 0.982648 | − | 1.70200i | ||||
\(849\) | 24.8072 | + | 42.9673i | 0.851380 | + | 1.47463i | ||||
\(850\) | −49.1576 | + | 85.1435i | −1.68609 | + | 2.92040i | ||||
\(851\) | −1.19014 | − | 2.06139i | −0.0407976 | − | 0.0706635i | ||||
\(852\) | −30.0822 | −1.03060 | ||||||||
\(853\) | 45.5975 | 1.56123 | 0.780614 | − | 0.625013i | \(-0.214906\pi\) | ||||
0.780614 | + | 0.625013i | \(0.214906\pi\) | |||||||
\(854\) | −2.74984 | − | 4.76286i | −0.0940976 | − | 0.162982i | ||||
\(855\) | −22.8266 | + | 39.5368i | −0.780652 | + | 1.35213i | ||||
\(856\) | −13.4370 | − | 23.2736i | −0.459268 | − | 0.795476i | ||||
\(857\) | 16.0100 | − | 27.7301i | 0.546891 | − | 0.947243i | −0.451594 | − | 0.892224i | \(-0.649144\pi\) |
0.998485 | − | 0.0550199i | \(-0.0175222\pi\) | |||||||
\(858\) | −11.2829 | + | 19.5426i | −0.385193 | + | 0.667173i | ||||
\(859\) | 13.6907 | − | 23.7129i | 0.467120 | − | 0.809075i | −0.532175 | − | 0.846634i | \(-0.678625\pi\) |
0.999294 | + | 0.0375597i | \(0.0119584\pi\) | |||||||
\(860\) | 19.2896 | 0.657770 | ||||||||
\(861\) | −2.05880 | − | 3.56594i | −0.0701636 | − | 0.121527i | ||||
\(862\) | 29.9762 | + | 51.9203i | 1.02099 | + | 1.76841i | ||||
\(863\) | −2.93417 | + | 5.08214i | −0.0998804 | + | 0.172998i | −0.911635 | − | 0.411001i | \(-0.865179\pi\) |
0.811755 | + | 0.583999i | \(0.198513\pi\) | |||||||
\(864\) | 43.7929 | 1.48986 | ||||||||
\(865\) | 24.3043 | + | 42.0962i | 0.826369 | + | 1.43131i | ||||
\(866\) | −0.164567 | −0.00559223 | ||||||||
\(867\) | 37.7001 | 1.28036 | ||||||||
\(868\) | 0.685690 | − | 1.37814i | 0.0232738 | − | 0.0467772i | ||||
\(869\) | −35.2824 | −1.19687 | ||||||||
\(870\) | 21.3437 | 0.723618 | ||||||||
\(871\) | 0.707197 | + | 1.22490i | 0.0239625 | + | 0.0415042i | ||||
\(872\) | 9.63631 | 0.326327 | ||||||||
\(873\) | 3.88314 | − | 6.72580i | 0.131425 | − | 0.227634i | ||||
\(874\) | 0.853359 | + | 1.47806i | 0.0288653 | + | 0.0499962i | ||||
\(875\) | 3.07002 | + | 5.31743i | 0.103786 | + | 0.179762i | ||||
\(876\) | −26.2508 | −0.886932 | ||||||||
\(877\) | −13.7817 | + | 23.8705i | −0.465373 | + | 0.806050i | −0.999218 | − | 0.0395321i | \(-0.987413\pi\) |
0.533845 | + | 0.845582i | \(0.320747\pi\) | |||||||
\(878\) | 17.2296 | − | 29.8426i | 0.581472 | − | 1.00714i | ||||
\(879\) | −19.0917 | + | 33.0678i | −0.643947 | + | 1.11535i | ||||
\(880\) | −43.1650 | − | 74.7640i | −1.45509 | − | 2.52029i | ||||
\(881\) | 23.6528 | − | 40.9678i | 0.796881 | − | 1.38024i | −0.124756 | − | 0.992187i | \(-0.539815\pi\) |
0.921638 | − | 0.388052i | \(-0.126852\pi\) | |||||||
\(882\) | −35.1624 | − | 60.9030i | −1.18398 | − | 2.05071i | ||||
\(883\) | −21.7793 | −0.732933 | −0.366466 | − | 0.930431i | \(-0.619433\pi\) | ||||
−0.366466 | + | 0.930431i | \(0.619433\pi\) | |||||||
\(884\) | −5.28309 | −0.177690 | ||||||||
\(885\) | −46.5337 | − | 80.5987i | −1.56421 | − | 2.70930i | ||||
\(886\) | −2.06239 | + | 3.57216i | −0.0692873 | + | 0.120009i | ||||
\(887\) | 14.8304 | + | 25.6870i | 0.497956 | + | 0.862485i | 0.999997 | − | 0.00235860i | \(-0.000750766\pi\) |
−0.502041 | + | 0.864844i | \(0.667417\pi\) | |||||||
\(888\) | −12.5169 | + | 21.6799i | −0.420039 | + | 0.727529i | ||||
\(889\) | −2.14498 | + | 3.71522i | −0.0719404 | + | 0.124604i | ||||
\(890\) | 47.6233 | − | 82.4860i | 1.59634 | − | 2.76494i | ||||
\(891\) | −35.5012 | −1.18933 | ||||||||
\(892\) | −1.77881 | − | 3.08099i | −0.0595589 | − | 0.103159i | ||||
\(893\) | −13.3045 | − | 23.0441i | −0.445218 | − | 0.771140i | ||||
\(894\) | −4.53646 | + | 7.85738i | −0.151722 | + | 0.262790i | ||||
\(895\) | 72.1749 | 2.41254 | ||||||||
\(896\) | −1.75422 | − | 3.03839i | −0.0586043 | − | 0.101506i | ||||
\(897\) | 1.50121 | 0.0501240 | ||||||||
\(898\) | 12.0751 | 0.402951 | ||||||||
\(899\) | 3.24700 | + | 4.89685i | 0.108293 | + | 0.163319i | ||||
\(900\) | 59.9660 | 1.99887 | ||||||||
\(901\) | −62.3251 | −2.07635 | ||||||||
\(902\) | 18.3279 | + | 31.7448i | 0.610251 | + | 1.05699i | ||||
\(903\) | −4.29365 | −0.142884 | ||||||||
\(904\) | −0.499389 | + | 0.864966i | −0.0166094 | + | 0.0287684i | ||||
\(905\) | 33.2598 | + | 57.6077i | 1.10559 | + | 1.91495i | ||||
\(906\) | −37.1170 | − | 64.2885i | −1.23313 | − | 2.13584i | ||||
\(907\) | −30.6804 | −1.01873 | −0.509363 | − | 0.860551i | \(-0.670119\pi\) | ||||
−0.509363 | + | 0.860551i | \(0.670119\pi\) | |||||||
\(908\) | −2.07154 | + | 3.58801i | −0.0687465 | + | 0.119072i | ||||
\(909\) | −5.67241 | + | 9.82490i | −0.188142 | + | 0.325871i | ||||
\(910\) | −0.965878 | + | 1.67295i | −0.0320186 | + | 0.0554578i | ||||
\(911\) | 20.4421 | + | 35.4067i | 0.677276 | + | 1.17308i | 0.975798 | + | 0.218674i | \(0.0701730\pi\) |
−0.298522 | + | 0.954403i | \(0.596494\pi\) | |||||||
\(912\) | 14.6704 | − | 25.4099i | 0.485787 | − | 0.841407i | ||||
\(913\) | 2.21897 | + | 3.84337i | 0.0734372 | + | 0.127197i | ||||
\(914\) | 57.3737 | 1.89775 | ||||||||
\(915\) | 131.442 | 4.34535 | ||||||||
\(916\) | −10.5478 | − | 18.2694i | −0.348511 | − | 0.603638i | ||||
\(917\) | 0.515136 | − | 0.892241i | 0.0170113 | − | 0.0294644i | ||||
\(918\) | −40.5475 | − | 70.2303i | −1.33827 | − | 2.31795i | ||||
\(919\) | 1.51080 | − | 2.61678i | 0.0498366 | − | 0.0863195i | −0.840031 | − | 0.542538i | \(-0.817463\pi\) |
0.889868 | + | 0.456219i | \(0.150797\pi\) | |||||||
\(920\) | −1.75674 | + | 3.04276i | −0.0579180 | + | 0.100317i | ||||
\(921\) | −41.5096 | + | 71.8967i | −1.36779 | + | 2.36908i | ||||
\(922\) | −47.5628 | −1.56640 | ||||||||
\(923\) | 5.19624 | + | 9.00016i | 0.171036 | + | 0.296244i | ||||
\(924\) | −1.80990 | − | 3.13485i | −0.0595415 | − | 0.103129i | ||||
\(925\) | −24.7784 | + | 42.9174i | −0.814708 | + | 1.41112i | ||||
\(926\) | −37.7819 | −1.24159 | ||||||||
\(927\) | −11.8931 | − | 20.5995i | −0.390622 | − | 0.676578i | ||||
\(928\) | −5.34708 | −0.175527 | ||||||||
\(929\) | −3.56041 | −0.116813 | −0.0584067 | − | 0.998293i | \(-0.518602\pi\) | ||||
−0.0584067 | + | 0.998293i | \(0.518602\pi\) | |||||||
\(930\) | 62.2321 | + | 93.8533i | 2.04067 | + | 3.07757i | ||||
\(931\) | −13.6138 | −0.446173 | ||||||||
\(932\) | −16.8750 | −0.552760 | ||||||||
\(933\) | −18.5201 | − | 32.0778i | −0.606322 | − | 1.05018i | ||||
\(934\) | 50.5106 | 1.65276 | ||||||||
\(935\) | −47.0077 | + | 81.4197i | −1.53732 | + | 2.66271i | ||||
\(936\) | −5.23248 | − | 9.06293i | −0.171029 | − | 0.296231i | ||||
\(937\) | −0.252994 | − | 0.438199i | −0.00826497 | − | 0.0143153i | 0.861863 | − | 0.507141i | \(-0.169298\pi\) |
−0.870128 | + | 0.492825i | \(0.835964\pi\) | |||||||
\(938\) | −0.694488 | −0.0226758 | ||||||||
\(939\) | 9.67163 | − | 16.7517i | 0.315622 | − | 0.546673i | ||||
\(940\) | −25.8148 | + | 44.7125i | −0.841985 | + | 1.45836i | ||||
\(941\) | 2.15200 | − | 3.72737i | 0.0701531 | − | 0.121509i | −0.828815 | − | 0.559522i | \(-0.810985\pi\) |
0.898968 | + | 0.438014i | \(0.144318\pi\) | |||||||
\(942\) | 35.4447 | + | 61.3920i | 1.15485 | + | 2.00026i | ||||
\(943\) | 1.21928 | − | 2.11185i | 0.0397051 | − | 0.0687713i | ||||
\(944\) | 19.8230 | + | 34.3344i | 0.645184 | + | 1.11749i | ||||
\(945\) | −9.68720 | −0.315125 | ||||||||
\(946\) | 38.2231 | 1.24274 | ||||||||
\(947\) | 9.73707 | + | 16.8651i | 0.316412 | + | 0.548042i | 0.979737 | − | 0.200290i | \(-0.0641884\pi\) |
−0.663324 | + | 0.748332i | \(0.730855\pi\) | |||||||
\(948\) | −11.6335 | + | 20.1497i | −0.377837 | + | 0.654433i | ||||
\(949\) | 4.53442 | + | 7.85385i | 0.147194 | + | 0.254947i | ||||
\(950\) | 17.7666 | − | 30.7727i | 0.576426 | − | 0.998399i | ||||
\(951\) | −42.2685 | + | 73.2113i | −1.37065 | + | 2.37404i | ||||
\(952\) | −1.37612 | + | 2.38352i | −0.0446004 | + | 0.0772502i | ||||
\(953\) | −27.7577 | −0.899159 | −0.449580 | − | 0.893240i | \(-0.648426\pi\) | ||||
−0.449580 | + | 0.893240i | \(0.648426\pi\) | |||||||
\(954\) | 58.1805 | + | 100.771i | 1.88366 | + | 3.26260i | ||||
\(955\) | −35.3816 | − | 61.2828i | −1.14492 | − | 1.98306i | ||||
\(956\) | −4.90663 | + | 8.49852i | −0.158692 | + | 0.274862i | ||||
\(957\) | 13.8169 | 0.446638 | ||||||||
\(958\) | −9.74522 | − | 16.8792i | −0.314854 | − | 0.545343i | ||||
\(959\) | 2.19308 | 0.0708183 | ||||||||
\(960\) | 14.8495 | 0.479265 | ||||||||
\(961\) | −12.0653 | + | 28.5557i | −0.389205 | + | 0.921151i | ||||
\(962\) | −8.15136 | −0.262810 | ||||||||
\(963\) | 89.3159 | 2.87816 | ||||||||
\(964\) | 5.23730 | + | 9.07127i | 0.168682 | + | 0.292166i | ||||
\(965\) | −50.0901 | −1.61246 | ||||||||
\(966\) | −0.368558 | + | 0.638361i | −0.0118582 | + | 0.0205389i | ||||
\(967\) | −18.6328 | − | 32.2729i | −0.599189 | − | 1.03783i | −0.992941 | − | 0.118609i | \(-0.962156\pi\) |
0.393752 | − | 0.919217i | \(-0.371177\pi\) | |||||||
\(968\) | −7.33501 | − | 12.7046i | −0.235756 | − | 0.408342i | ||||
\(969\) | −31.9529 | −1.02647 | ||||||||
\(970\) | −4.46461 | + | 7.73293i | −0.143350 | + | 0.248290i | ||||
\(971\) | −14.4687 | + | 25.0606i | −0.464323 | + | 0.804232i | −0.999171 | − | 0.0407171i | \(-0.987036\pi\) |
0.534847 | + | 0.844949i | \(0.320369\pi\) | |||||||
\(972\) | 0.875030 | − | 1.51560i | 0.0280666 | − | 0.0486128i | ||||
\(973\) | −2.31652 | − | 4.01233i | −0.0742642 | − | 0.128629i | ||||
\(974\) | 9.89560 | − | 17.1397i | 0.317075 | − | 0.549191i | ||||
\(975\) | −15.6273 | − | 27.0673i | −0.500475 | − | 0.866849i | ||||
\(976\) | −55.9935 | −1.79231 | ||||||||
\(977\) | −8.08638 | −0.258706 | −0.129353 | − | 0.991599i | \(-0.541290\pi\) | ||||
−0.129353 | + | 0.991599i | \(0.541290\pi\) | |||||||
\(978\) | 53.2014 | + | 92.1476i | 1.70119 | + | 2.94656i | ||||
\(979\) | 30.8292 | − | 53.3977i | 0.985305 | − | 1.70660i | ||||
\(980\) | 13.2074 | + | 22.8759i | 0.421896 | + | 0.730745i | ||||
\(981\) | −16.0131 | + | 27.7356i | −0.511260 | + | 0.885528i | ||||
\(982\) | 12.6715 | − | 21.9476i | 0.404362 | − | 0.700376i | ||||
\(983\) | −2.69271 | + | 4.66392i | −0.0858842 | + | 0.148756i | −0.905768 | − | 0.423775i | \(-0.860705\pi\) |
0.819883 | + | 0.572530i | \(0.194038\pi\) | |||||||
\(984\) | −25.6465 | −0.817582 | ||||||||
\(985\) | −20.5491 | − | 35.5920i | −0.654748 | − | 1.13406i | ||||
\(986\) | 4.95083 | + | 8.57508i | 0.157666 | + | 0.273086i | ||||
\(987\) | 5.74609 | − | 9.95251i | 0.182900 | − | 0.316792i | ||||
\(988\) | 1.90942 | 0.0607469 | ||||||||
\(989\) | −1.27141 | − | 2.20215i | −0.0404285 | − | 0.0700242i | ||||
\(990\) | 175.527 | 5.57860 | ||||||||
\(991\) | 39.4455 | 1.25303 | 0.626513 | − | 0.779411i | \(-0.284482\pi\) | ||||
0.626513 | + | 0.779411i | \(0.284482\pi\) | |||||||
\(992\) | −15.5906 | − | 23.5124i | −0.495002 | − | 0.746521i | ||||
\(993\) | −15.5031 | −0.491975 | ||||||||
\(994\) | −5.10286 | −0.161853 | ||||||||
\(995\) | 6.46005 | + | 11.1891i | 0.204797 | + | 0.354720i | ||||
\(996\) | 2.92660 | 0.0927327 | ||||||||
\(997\) | 28.3191 | − | 49.0501i | 0.896874 | − | 1.55343i | 0.0654063 | − | 0.997859i | \(-0.479166\pi\) |
0.831468 | − | 0.555573i | \(-0.187501\pi\) | |||||||
\(998\) | −19.5986 | − | 33.9458i | −0.620383 | − | 1.07453i | ||||
\(999\) | −20.4384 | − | 35.4003i | −0.646641 | − | 1.12001i |
(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 | 403.2.h.b.118.4 | ✓ | 34 | |
31.5 | even | 3 | inner | 403.2.h.b.222.4 | yes | 34 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.h.b.118.4 | ✓ | 34 | 1.1 | even | 1 | trivial | |
403.2.h.b.222.4 | yes | 34 | 31.5 | even | 3 | inner |