Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [315,2,Mod(2,315)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(315, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([2, 3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("315.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 315 = 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 315.bx (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.51528766367\) |
Analytic rank: | \(0\) |
Dimension: | \(176\) |
Relative dimension: | \(44\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 2.7 | ||
Character | \(\chi\) | \(=\) | 315.2 |
Dual form | 315.2.bx.a.158.7 |
$q$-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 \(\left(\mathbb{Z}/315\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(136\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.07435 | − | 0.555820i | −1.46679 | − | 0.393024i | −0.564958 | − | 0.825119i | \(-0.691108\pi\) |
−0.901828 | + | 0.432095i | \(0.857774\pi\) | |||||||
\(3\) | 1.52422 | + | 0.822645i | 0.880010 | + | 0.474954i | ||||
\(4\) | 2.26194 | + | 1.30593i | 1.13097 | + | 0.652965i | ||||
\(5\) | 0.0290922 | − | 2.23588i | 0.0130104 | − | 0.999915i | ||||
\(6\) | −2.70453 | − | 2.55365i | −1.10412 | − | 1.04252i | ||||
\(7\) | 2.57272 | − | 0.617326i | 0.972398 | − | 0.233327i | ||||
\(8\) | −0.929129 | − | 0.929129i | −0.328497 | − | 0.328497i | ||||
\(9\) | 1.64651 | + | 2.50779i | 0.548837 | + | 0.835930i | ||||
\(10\) | −1.30309 | + | 4.62182i | −0.412074 | + | 1.46155i | ||||
\(11\) | − | 2.96520i | − | 0.894043i | −0.894523 | − | 0.447021i | \(-0.852485\pi\) | ||
0.894523 | − | 0.447021i | \(-0.147515\pi\) | |||||||
\(12\) | 2.37338 | + | 3.85130i | 0.685136 | + | 1.11177i | ||||
\(13\) | −2.43752 | − | 0.653132i | −0.676047 | − | 0.181146i | −0.0955695 | − | 0.995423i | \(-0.530467\pi\) |
−0.580477 | + | 0.814277i | \(0.697134\pi\) | |||||||
\(14\) | −5.67985 | − | 0.149422i | −1.51800 | − | 0.0399348i | ||||
\(15\) | 1.88368 | − | 3.38404i | 0.486363 | − | 0.873757i | ||||
\(16\) | −1.20095 | − | 2.08011i | −0.300238 | − | 0.520028i | ||||
\(17\) | −4.08766 | − | 1.09529i | −0.991404 | − | 0.265646i | −0.273564 | − | 0.961854i | \(-0.588202\pi\) |
−0.717840 | + | 0.696208i | \(0.754869\pi\) | |||||||
\(18\) | −2.02156 | − | 6.11719i | −0.476486 | − | 1.44184i | ||||
\(19\) | 6.92499 | + | 3.99814i | 1.58870 | + | 0.917237i | 0.993521 | + | 0.113645i | \(0.0362525\pi\) |
0.595180 | + | 0.803593i | \(0.297081\pi\) | |||||||
\(20\) | 2.98571 | − | 5.01943i | 0.667624 | − | 1.12238i | ||||
\(21\) | 4.42924 | + | 1.17550i | 0.966540 | + | 0.256514i | ||||
\(22\) | −1.64812 | + | 6.15087i | −0.351380 | + | 1.31137i | ||||
\(23\) | 2.44915 | + | 2.44915i | 0.510683 | + | 0.510683i | 0.914736 | − | 0.404053i | \(-0.132399\pi\) |
−0.404053 | + | 0.914736i | \(0.632399\pi\) | |||||||
\(24\) | −0.651856 | − | 2.18054i | −0.133060 | − | 0.445101i | ||||
\(25\) | −4.99831 | − | 0.130093i | −0.999661 | − | 0.0260186i | ||||
\(26\) | 4.69325 | + | 2.70965i | 0.920421 | + | 0.531405i | ||||
\(27\) | 0.446629 | + | 5.17692i | 0.0859538 | + | 0.996299i | ||||
\(28\) | 6.62553 | + | 1.96345i | 1.25211 | + | 0.371056i | ||||
\(29\) | 4.66848 | − | 8.08604i | 0.866915 | − | 1.50154i | 0.00178174 | − | 0.999998i | \(-0.499433\pi\) |
0.865133 | − | 0.501542i | \(-0.167234\pi\) | |||||||
\(30\) | −5.78833 | + | 5.97270i | −1.05680 | + | 1.09046i | ||||
\(31\) | 3.67929 | − | 6.37271i | 0.660819 | − | 1.14457i | −0.319581 | − | 0.947559i | \(-0.603542\pi\) |
0.980401 | − | 0.197014i | \(-0.0631244\pi\) | |||||||
\(32\) | 2.01520 | + | 7.52081i | 0.356240 | + | 1.32950i | ||||
\(33\) | 2.43931 | − | 4.51963i | 0.424629 | − | 0.786767i | ||||
\(34\) | 7.87046 | + | 4.54401i | 1.34977 | + | 0.779292i | ||||
\(35\) | −1.30542 | − | 5.77026i | −0.220656 | − | 0.975352i | ||||
\(36\) | 0.449307 | + | 7.82269i | 0.0748844 | + | 1.30378i | ||||
\(37\) | −3.49660 | + | 0.936911i | −0.574837 | + | 0.154027i | −0.534514 | − | 0.845160i | \(-0.679505\pi\) |
−0.0403231 | + | 0.999187i | \(0.512839\pi\) | |||||||
\(38\) | −12.1426 | − | 12.1426i | −1.96979 | − | 1.96979i | ||||
\(39\) | −3.17803 | − | 3.00073i | −0.508892 | − | 0.480502i | ||||
\(40\) | −2.10445 | + | 2.05039i | −0.332743 | + | 0.324195i | ||||
\(41\) | 2.19954 | − | 1.26991i | 0.343511 | − | 0.198326i | −0.318313 | − | 0.947986i | \(-0.603116\pi\) |
0.661823 | + | 0.749660i | \(0.269783\pi\) | |||||||
\(42\) | −8.53444 | − | 4.90025i | −1.31689 | − | 0.756125i | ||||
\(43\) | −0.923747 | − | 3.44747i | −0.140870 | − | 0.525734i | −0.999905 | − | 0.0138166i | \(-0.995602\pi\) |
0.859034 | − | 0.511918i | \(-0.171065\pi\) | |||||||
\(44\) | 3.87235 | − | 6.70711i | 0.583779 | − | 1.01113i | ||||
\(45\) | 5.65501 | − | 3.60844i | 0.842999 | − | 0.537915i | ||||
\(46\) | −3.71910 | − | 6.44167i | −0.548352 | − | 0.949773i | ||||
\(47\) | 2.70186 | + | 0.723960i | 0.394106 | + | 0.105600i | 0.450429 | − | 0.892812i | \(-0.351271\pi\) |
−0.0563230 | + | 0.998413i | \(0.517938\pi\) | |||||||
\(48\) | −0.119326 | − | 4.15851i | −0.0172233 | − | 0.600229i | ||||
\(49\) | 6.23782 | − | 3.17642i | 0.891117 | − | 0.453774i | ||||
\(50\) | 10.2959 | + | 3.04802i | 1.45606 | + | 0.431055i | ||||
\(51\) | −5.32948 | − | 5.03216i | −0.746276 | − | 0.704643i | ||||
\(52\) | −4.66058 | − | 4.66058i | −0.646306 | − | 0.646306i | ||||
\(53\) | −1.68042 | + | 6.27142i | −0.230824 | + | 0.861445i | 0.749164 | + | 0.662385i | \(0.230456\pi\) |
−0.979987 | + | 0.199060i | \(0.936211\pi\) | |||||||
\(54\) | 1.95097 | − | 10.9870i | 0.265494 | − | 1.49514i | ||||
\(55\) | −6.62984 | − | 0.0862642i | −0.893967 | − | 0.0116319i | ||||
\(56\) | −2.96397 | − | 1.81682i | −0.396077 | − | 0.242782i | ||||
\(57\) | 7.26617 | + | 11.7909i | 0.962428 | + | 1.56174i | ||||
\(58\) | −14.1784 | + | 14.1784i | −1.86172 | + | 1.86172i | ||||
\(59\) | −6.60857 | + | 11.4464i | −0.860362 | + | 1.49019i | 0.0112169 | + | 0.999937i | \(0.496429\pi\) |
−0.871579 | + | 0.490254i | \(0.836904\pi\) | |||||||
\(60\) | 8.68009 | − | 5.19455i | 1.12059 | − | 0.670613i | ||||
\(61\) | 0.883319 | + | 1.52995i | 0.113097 | + | 0.195890i | 0.917018 | − | 0.398847i | \(-0.130589\pi\) |
−0.803920 | + | 0.594737i | \(0.797256\pi\) | |||||||
\(62\) | −11.1742 | + | 11.1742i | −1.41913 | + | 1.41913i | ||||
\(63\) | 5.78414 | + | 5.43541i | 0.728733 | + | 0.684798i | ||||
\(64\) | − | 11.9171i | − | 1.48963i | ||||||
\(65\) | −1.53124 | + | 5.43100i | −0.189926 | + | 0.673633i | ||||
\(66\) | −7.57208 | + | 8.01948i | −0.932059 | + | 0.987129i | ||||
\(67\) | 4.45538 | − | 1.19382i | 0.544311 | − | 0.145848i | 0.0238223 | − | 0.999716i | \(-0.492416\pi\) |
0.520489 | + | 0.853868i | \(0.325750\pi\) | |||||||
\(68\) | −7.81567 | − | 7.81567i | −0.947790 | − | 0.947790i | ||||
\(69\) | 1.71827 | + | 5.74783i | 0.206855 | + | 0.691957i | ||||
\(70\) | −0.499329 | + | 12.6951i | −0.0596812 | + | 1.51736i | ||||
\(71\) | 2.26032i | 0.268251i | 0.990964 | + | 0.134125i | \(0.0428225\pi\) | ||||
−0.990964 | + | 0.134125i | \(0.957178\pi\) | |||||||
\(72\) | 0.800238 | − | 3.85988i | 0.0943090 | − | 0.454891i | ||||
\(73\) | −2.30910 | − | 0.618720i | −0.270259 | − | 0.0724157i | 0.121144 | − | 0.992635i | \(-0.461344\pi\) |
−0.391403 | + | 0.920219i | \(0.628010\pi\) | |||||||
\(74\) | 7.77392 | 0.903700 | ||||||||
\(75\) | −7.51151 | − | 4.31012i | −0.867355 | − | 0.497690i | ||||
\(76\) | 10.4426 | + | 18.0871i | 1.19785 | + | 2.07473i | ||||
\(77\) | −1.83050 | − | 7.62865i | −0.208605 | − | 0.869366i | ||||
\(78\) | 4.92447 | + | 7.99098i | 0.557587 | + | 0.904800i | ||||
\(79\) | −6.41216 | + | 3.70207i | −0.721425 | + | 0.416515i | −0.815277 | − | 0.579071i | \(-0.803415\pi\) |
0.0938520 | + | 0.995586i | \(0.470082\pi\) | |||||||
\(80\) | −4.68581 | + | 2.62467i | −0.523890 | + | 0.293447i | ||||
\(81\) | −3.57801 | + | 8.25820i | −0.397556 | + | 0.917578i | ||||
\(82\) | −5.26846 | + | 1.41168i | −0.581804 | + | 0.155894i | ||||
\(83\) | −2.03174 | + | 0.544402i | −0.223012 | + | 0.0597559i | −0.368595 | − | 0.929590i | \(-0.620161\pi\) |
0.145583 | + | 0.989346i | \(0.453494\pi\) | |||||||
\(84\) | 8.48356 | + | 8.44319i | 0.925632 | + | 0.921227i | ||||
\(85\) | −2.56785 | + | 9.10766i | −0.278522 | + | 0.987864i | ||||
\(86\) | 7.66470i | 0.826505i | ||||||||
\(87\) | 13.7677 | − | 8.48443i | 1.47606 | − | 0.909626i | ||||
\(88\) | −2.75506 | + | 2.75506i | −0.293690 | + | 0.293690i | ||||
\(89\) | −4.81873 | + | 8.34628i | −0.510784 | + | 0.884704i | 0.489138 | + | 0.872206i | \(0.337311\pi\) |
−0.999922 | + | 0.0124974i | \(0.996022\pi\) | |||||||
\(90\) | −13.7361 | + | 4.34200i | −1.44791 | + | 0.457687i | ||||
\(91\) | −6.67426 | − | 0.175583i | −0.699653 | − | 0.0184061i | ||||
\(92\) | 2.34140 | + | 8.73824i | 0.244108 | + | 0.911024i | ||||
\(93\) | 10.8505 | − | 6.68669i | 1.12515 | − | 0.693377i | ||||
\(94\) | −5.20220 | − | 3.00349i | −0.536566 | − | 0.309787i | ||||
\(95\) | 9.14083 | − | 15.3671i | 0.937829 | − | 1.57663i | ||||
\(96\) | −3.11535 | + | 13.1212i | −0.317959 | + | 1.33918i | ||||
\(97\) | −9.98943 | + | 2.67666i | −1.01427 | + | 0.271774i | −0.727414 | − | 0.686199i | \(-0.759278\pi\) |
−0.286859 | + | 0.957973i | \(0.592611\pi\) | |||||||
\(98\) | −14.7049 | + | 3.12190i | −1.48542 | + | 0.315359i | ||||
\(99\) | 7.43611 | − | 4.88224i | 0.747357 | − | 0.490684i | ||||
\(100\) | −11.1360 | − | 6.82170i | −1.11360 | − | 0.682170i | ||||
\(101\) | 1.70327i | 0.169482i | 0.996403 | + | 0.0847408i | \(0.0270062\pi\) | ||||
−0.996403 | + | 0.0847408i | \(0.972994\pi\) | |||||||
\(102\) | 8.25823 | + | 13.4007i | 0.817686 | + | 1.32687i | ||||
\(103\) | −3.10355 | + | 3.10355i | −0.305802 | + | 0.305802i | −0.843279 | − | 0.537477i | \(-0.819378\pi\) |
0.537477 | + | 0.843279i | \(0.319378\pi\) | |||||||
\(104\) | 1.65793 | + | 2.87161i | 0.162573 | + | 0.281585i | ||||
\(105\) | 2.75712 | − | 9.86906i | 0.269068 | − | 0.963121i | ||||
\(106\) | 6.97156 | − | 12.0751i | 0.677138 | − | 1.17284i | ||||
\(107\) | −0.678775 | − | 2.53322i | −0.0656197 | − | 0.244896i | 0.925323 | − | 0.379179i | \(-0.123794\pi\) |
−0.990943 | + | 0.134283i | \(0.957127\pi\) | |||||||
\(108\) | −5.75045 | + | 12.2931i | −0.553338 | + | 1.18291i | ||||
\(109\) | −3.72280 | + | 2.14936i | −0.356579 | + | 0.205871i | −0.667579 | − | 0.744539i | \(-0.732669\pi\) |
0.311000 | + | 0.950410i | \(0.399336\pi\) | |||||||
\(110\) | 13.7047 | + | 3.86394i | 1.30669 | + | 0.368412i | ||||
\(111\) | −6.10034 | − | 1.44840i | −0.579019 | − | 0.137476i | ||||
\(112\) | −4.37382 | − | 4.61017i | −0.413288 | − | 0.435620i | ||||
\(113\) | −4.28780 | + | 16.0023i | −0.403362 | + | 1.50537i | 0.403695 | + | 0.914894i | \(0.367726\pi\) |
−0.807057 | + | 0.590473i | \(0.798941\pi\) | |||||||
\(114\) | −8.51898 | − | 28.4971i | −0.797875 | − | 2.66899i | ||||
\(115\) | 5.54725 | − | 5.40475i | 0.517284 | − | 0.503995i | ||||
\(116\) | 21.1196 | − | 12.1934i | 1.96091 | − | 1.13213i | ||||
\(117\) | −2.37549 | − | 7.18817i | −0.219614 | − | 0.664547i | ||||
\(118\) | 20.0706 | − | 20.0706i | 1.84765 | − | 1.84765i | ||||
\(119\) | −11.1926 | − | 0.294448i | −1.02602 | − | 0.0269920i | ||||
\(120\) | −4.89439 | + | 1.39403i | −0.446795 | + | 0.127257i | ||||
\(121\) | 2.20756 | 0.200688 | ||||||||
\(122\) | −0.981933 | − | 3.66462i | −0.0889000 | − | 0.331779i | ||||
\(123\) | 4.39727 | − | 0.126178i | 0.396489 | − | 0.0113771i | ||||
\(124\) | 16.6446 | − | 9.60979i | 1.49473 | − | 0.862984i | ||||
\(125\) | −0.436284 | + | 11.1718i | −0.0390224 | + | 0.999238i | ||||
\(126\) | −8.97721 | − | 14.4899i | −0.799754 | − | 1.29086i | ||||
\(127\) | −6.97494 | − | 6.97494i | −0.618926 | − | 0.618926i | 0.326330 | − | 0.945256i | \(-0.394188\pi\) |
−0.945256 | + | 0.326330i | \(0.894188\pi\) | |||||||
\(128\) | −2.59336 | + | 9.67855i | −0.229223 | + | 0.855471i | ||||
\(129\) | 1.42805 | − | 6.01463i | 0.125733 | − | 0.529559i | ||||
\(130\) | 6.19498 | − | 10.4147i | 0.543335 | − | 0.913429i | ||||
\(131\) | 0.439939i | 0.0384376i | 0.999815 | + | 0.0192188i | \(0.00611792\pi\) | ||||
−0.999815 | + | 0.0192188i | \(0.993882\pi\) | |||||||
\(132\) | 11.4199 | − | 7.03756i | 0.993974 | − | 0.612541i | ||||
\(133\) | 20.2842 | + | 6.01115i | 1.75887 | + | 0.521232i | ||||
\(134\) | −9.90556 | −0.855710 | ||||||||
\(135\) | 11.5880 | − | 0.848000i | 0.997333 | − | 0.0729842i | ||||
\(136\) | 2.78030 | + | 4.81563i | 0.238409 | + | 0.412937i | ||||
\(137\) | −6.05495 | + | 6.05495i | −0.517309 | + | 0.517309i | −0.916756 | − | 0.399447i | \(-0.869202\pi\) |
0.399447 | + | 0.916756i | \(0.369202\pi\) | |||||||
\(138\) | −0.369529 | − | 12.8780i | −0.0314564 | − | 1.09625i | ||||
\(139\) | −6.78307 | + | 3.91621i | −0.575333 | + | 0.332168i | −0.759276 | − | 0.650768i | \(-0.774447\pi\) |
0.183944 | + | 0.982937i | \(0.441114\pi\) | |||||||
\(140\) | 4.58278 | − | 14.7568i | 0.387315 | − | 1.24717i | ||||
\(141\) | 3.52267 | + | 3.32614i | 0.296662 | + | 0.280112i | ||||
\(142\) | 1.25633 | − | 4.68869i | 0.105429 | − | 0.393466i | ||||
\(143\) | −1.93667 | + | 7.22775i | −0.161952 | + | 0.604414i | ||||
\(144\) | 3.23910 | − | 6.43666i | 0.269925 | − | 0.536388i | ||||
\(145\) | −17.9436 | − | 10.6734i | −1.49013 | − | 0.886377i | ||||
\(146\) | 4.44597 | + | 2.56688i | 0.367951 | + | 0.212437i | ||||
\(147\) | 12.1209 | + | 0.289939i | 0.999714 | + | 0.0239138i | ||||
\(148\) | −9.13263 | − | 2.44708i | −0.750698 | − | 0.201149i | ||||
\(149\) | 5.10694 | 0.418377 | 0.209188 | − | 0.977875i | \(-0.432918\pi\) | ||||
0.209188 | + | 0.977875i | \(0.432918\pi\) | |||||||
\(150\) | 13.1858 | + | 13.1158i | 1.07662 | + | 1.07090i | ||||
\(151\) | −6.37885 | −0.519103 | −0.259552 | − | 0.965729i | \(-0.583575\pi\) | ||||
−0.259552 | + | 0.965729i | \(0.583575\pi\) | |||||||
\(152\) | −2.71942 | − | 10.1490i | −0.220574 | − | 0.823192i | ||||
\(153\) | −3.98363 | − | 12.0544i | −0.322058 | − | 0.974540i | ||||
\(154\) | −0.443067 | + | 16.8419i | −0.0357034 | + | 1.35716i | ||||
\(155\) | −14.1416 | − | 8.41183i | −1.13588 | − | 0.675655i | ||||
\(156\) | −3.26976 | − | 10.9378i | −0.261790 | − | 0.875721i | ||||
\(157\) | 7.99657 | − | 2.14268i | 0.638196 | − | 0.171004i | 0.0748099 | − | 0.997198i | \(-0.476165\pi\) |
0.563386 | + | 0.826194i | \(0.309498\pi\) | |||||||
\(158\) | 15.3588 | − | 4.11537i | 1.22188 | − | 0.327401i | ||||
\(159\) | −7.72048 | + | 8.17664i | −0.612274 | + | 0.648450i | ||||
\(160\) | 16.8743 | − | 4.28694i | 1.33403 | − | 0.338912i | ||||
\(161\) | 7.81290 | + | 4.78906i | 0.615743 | + | 0.377431i | ||||
\(162\) | 12.0121 | − | 15.1417i | 0.943761 | − | 1.18964i | ||||
\(163\) | −0.148287 | − | 0.553413i | −0.0116147 | − | 0.0433467i | 0.959875 | − | 0.280427i | \(-0.0904761\pi\) |
−0.971490 | + | 0.237081i | \(0.923809\pi\) | |||||||
\(164\) | 6.63364 | 0.518000 | ||||||||
\(165\) | −10.0344 | − | 5.58549i | −0.781176 | − | 0.434830i | ||||
\(166\) | 4.51712 | 0.350596 | ||||||||
\(167\) | 3.48048 | + | 0.932593i | 0.269328 | + | 0.0721662i | 0.390955 | − | 0.920410i | \(-0.372145\pi\) |
−0.121628 | + | 0.992576i | \(0.538811\pi\) | |||||||
\(168\) | −3.02315 | − | 5.20753i | −0.233241 | − | 0.401769i | ||||
\(169\) | −5.74341 | − | 3.31596i | −0.441800 | − | 0.255074i | ||||
\(170\) | 10.3888 | − | 17.4652i | 0.796787 | − | 1.33952i | ||||
\(171\) | 1.37557 | + | 23.9494i | 0.105192 | + | 1.83146i | ||||
\(172\) | 2.41270 | − | 9.00431i | 0.183967 | − | 0.686573i | ||||
\(173\) | −0.223624 | + | 0.834576i | −0.0170018 | + | 0.0634516i | −0.973906 | − | 0.226954i | \(-0.927123\pi\) |
0.956904 | + | 0.290405i | \(0.0937901\pi\) | |||||||
\(174\) | −33.2749 | + | 9.94728i | −2.52257 | + | 0.754101i | ||||
\(175\) | −12.9396 | + | 2.75089i | −0.978140 | + | 0.207948i | ||||
\(176\) | −6.16795 | + | 3.56107i | −0.464927 | + | 0.268426i | ||||
\(177\) | −19.4892 | + | 12.0103i | −1.46490 | + | 0.902751i | ||||
\(178\) | 14.6348 | − | 14.6348i | 1.09692 | − | 1.09692i | ||||
\(179\) | −0.163955 | − | 0.283978i | −0.0122546 | − | 0.0212255i | 0.859833 | − | 0.510575i | \(-0.170568\pi\) |
−0.872088 | + | 0.489350i | \(0.837234\pi\) | |||||||
\(180\) | 17.5037 | − | 0.777016i | 1.30465 | − | 0.0579154i | ||||
\(181\) | 19.2127 | 1.42807 | 0.714033 | − | 0.700112i | \(-0.246866\pi\) | ||||
0.714033 | + | 0.700112i | \(0.246866\pi\) | |||||||
\(182\) | 13.7472 | + | 4.07391i | 1.01901 | + | 0.301978i | ||||
\(183\) | 0.0877664 | + | 3.05865i | 0.00648788 | + | 0.226102i | ||||
\(184\) | − | 4.55115i | − | 0.335515i | ||||||
\(185\) | 1.99310 | + | 7.84523i | 0.146535 | + | 0.576793i | ||||
\(186\) | −26.2244 | + | 7.83958i | −1.92287 | + | 0.574826i | ||||
\(187\) | −3.24775 | + | 12.1208i | −0.237499 | + | 0.886358i | ||||
\(188\) | 5.16599 | + | 5.16599i | 0.376768 | + | 0.376768i | ||||
\(189\) | 4.34490 | + | 13.0431i | 0.316045 | + | 0.948744i | ||||
\(190\) | −27.5026 | + | 26.7961i | −1.99525 | + | 1.94399i | ||||
\(191\) | −2.76754 | + | 1.59784i | −0.200252 | + | 0.115615i | −0.596773 | − | 0.802410i | \(-0.703551\pi\) |
0.396521 | + | 0.918026i | \(0.370217\pi\) | |||||||
\(192\) | 9.80352 | − | 18.1643i | 0.707508 | − | 1.31089i | ||||
\(193\) | −3.13854 | − | 11.7132i | −0.225917 | − | 0.843135i | −0.982035 | − | 0.188699i | \(-0.939573\pi\) |
0.756118 | − | 0.654436i | \(-0.227094\pi\) | |||||||
\(194\) | 22.2093 | 1.59454 | ||||||||
\(195\) | −6.80173 | + | 7.01839i | −0.487082 | + | 0.502597i | ||||
\(196\) | 18.2577 | + | 0.961293i | 1.30412 | + | 0.0686638i | ||||
\(197\) | 19.4973 | − | 19.4973i | 1.38912 | − | 1.38912i | 0.561952 | − | 0.827170i | \(-0.310050\pi\) |
0.827170 | − | 0.561952i | \(-0.189950\pi\) | |||||||
\(198\) | −18.1387 | + | 5.99433i | −1.28906 | + | 0.425999i | ||||
\(199\) | −2.86676 | + | 1.65512i | −0.203219 | + | 0.117329i | −0.598156 | − | 0.801380i | \(-0.704100\pi\) |
0.394937 | + | 0.918708i | \(0.370766\pi\) | |||||||
\(200\) | 4.52320 | + | 4.76494i | 0.319838 | + | 0.336932i | ||||
\(201\) | 7.77308 | + | 1.84555i | 0.548270 | + | 0.130175i | ||||
\(202\) | 0.946711 | − | 3.53317i | 0.0666104 | − | 0.248593i | ||||
\(203\) | 7.01898 | − | 23.6851i | 0.492636 | − | 1.66237i | ||||
\(204\) | −5.48330 | − | 18.3424i | −0.383908 | − | 1.28422i | ||||
\(205\) | −2.77537 | − | 4.95485i | −0.193840 | − | 0.346062i | ||||
\(206\) | 8.16287 | − | 4.71283i | 0.568734 | − | 0.328359i | ||||
\(207\) | −2.10940 | + | 10.1745i | −0.146613 | + | 0.707176i | ||||
\(208\) | 1.56876 | + | 5.85469i | 0.108774 | + | 0.405950i | ||||
\(209\) | 11.8553 | − | 20.5340i | 0.820049 | − | 1.42037i | ||||
\(210\) | −11.2047 | + | 18.9394i | −0.773195 | + | 1.30694i | ||||
\(211\) | −4.60844 | − | 7.98205i | −0.317258 | − | 0.549507i | 0.662657 | − | 0.748923i | \(-0.269429\pi\) |
−0.979915 | + | 0.199416i | \(0.936095\pi\) | |||||||
\(212\) | −11.9910 | + | 11.9910i | −0.823548 | + | 0.823548i | ||||
\(213\) | −1.85944 | + | 3.44523i | −0.127407 | + | 0.236063i | ||||
\(214\) | 5.63207i | 0.385000i | ||||||||
\(215\) | −7.73500 | + | 1.96509i | −0.527523 | + | 0.134018i | ||||
\(216\) | 4.39505 | − | 5.22500i | 0.299045 | − | 0.355516i | ||||
\(217\) | 5.53175 | − | 18.6665i | 0.375520 | − | 1.26717i | ||||
\(218\) | 8.91703 | − | 2.38931i | 0.603938 | − | 0.161825i | ||||
\(219\) | −3.01059 | − | 2.84263i | −0.203437 | − | 0.192087i | ||||
\(220\) | −14.8836 | − | 8.85323i | −1.00345 | − | 0.596885i | ||||
\(221\) | 9.24840 | + | 5.33957i | 0.622115 | + | 0.359178i | ||||
\(222\) | 11.8492 | + | 6.39518i | 0.795265 | + | 0.429216i | ||||
\(223\) | 6.89586 | + | 25.7357i | 0.461781 | + | 1.72339i | 0.667347 | + | 0.744747i | \(0.267430\pi\) |
−0.205565 | + | 0.978643i | \(0.565903\pi\) | |||||||
\(224\) | 9.82734 | + | 18.1049i | 0.656617 | + | 1.20969i | ||||
\(225\) | −7.90352 | − | 12.7489i | −0.526901 | − | 0.849927i | ||||
\(226\) | 17.7888 | − | 30.8111i | 1.18329 | − | 2.04952i | ||||
\(227\) | −10.8248 | + | 10.8248i | −0.718468 | + | 0.718468i | −0.968291 | − | 0.249823i | \(-0.919627\pi\) |
0.249823 | + | 0.968291i | \(0.419627\pi\) | |||||||
\(228\) | 1.03757 | + | 36.1593i | 0.0687151 | + | 2.39471i | ||||
\(229\) | 27.5328i | 1.81942i | 0.415245 | + | 0.909710i | \(0.363696\pi\) | ||||
−0.415245 | + | 0.909710i | \(0.636304\pi\) | |||||||
\(230\) | −14.5110 | + | 8.12806i | −0.956827 | + | 0.535948i | ||||
\(231\) | 3.48559 | − | 13.1336i | 0.229335 | − | 0.864128i | ||||
\(232\) | −11.8506 | + | 3.17536i | −0.778030 | + | 0.208472i | ||||
\(233\) | 0.277454 | − | 0.0743435i | 0.0181766 | − | 0.00487040i | −0.249719 | − | 0.968318i | \(-0.580338\pi\) |
0.267896 | + | 0.963448i | \(0.413672\pi\) | |||||||
\(234\) | 0.932257 | + | 16.2311i | 0.0609435 | + | 1.06106i | ||||
\(235\) | 1.69729 | − | 6.01996i | 0.110719 | − | 0.392699i | ||||
\(236\) | −29.8963 | + | 17.2607i | −1.94609 | + | 1.12357i | ||||
\(237\) | −12.8191 | + | 0.367837i | −0.832687 | + | 0.0238936i | ||||
\(238\) | 23.0537 | + | 6.83185i | 1.49435 | + | 0.442843i | ||||
\(239\) | −6.37963 | − | 11.0498i | −0.412664 | − | 0.714755i | 0.582516 | − | 0.812819i | \(-0.302068\pi\) |
−0.995180 | + | 0.0980642i | \(0.968735\pi\) | |||||||
\(240\) | −9.30139 | + | 0.145819i | −0.600402 | + | 0.00941260i | ||||
\(241\) | −16.4322 | −1.05849 | −0.529245 | − | 0.848469i | \(-0.677525\pi\) | ||||
−0.529245 | + | 0.848469i | \(0.677525\pi\) | |||||||
\(242\) | −4.57926 | − | 1.22701i | −0.294366 | − | 0.0788751i | ||||
\(243\) | −12.2472 | + | 9.64391i | −0.785661 | + | 0.618657i | ||||
\(244\) | 4.61421i | 0.295395i | ||||||||
\(245\) | −6.92062 | − | 14.0394i | −0.442142 | − | 0.896945i | ||||
\(246\) | −9.19161 | − | 2.18236i | −0.586036 | − | 0.139142i | ||||
\(247\) | −14.2685 | − | 14.2685i | −0.907882 | − | 0.907882i | ||||
\(248\) | −9.33960 | + | 2.50254i | −0.593065 | + | 0.158911i | ||||
\(249\) | −3.54467 | − | 0.841607i | −0.224634 | − | 0.0533347i | ||||
\(250\) | 7.11453 | − | 22.9318i | 0.449962 | − | 1.45033i | ||||
\(251\) | − | 18.7853i | − | 1.18572i | −0.805307 | − | 0.592858i | \(-0.797999\pi\) | ||
0.805307 | − | 0.592858i | \(-0.202001\pi\) | |||||||
\(252\) | 5.98509 | + | 19.8483i | 0.377025 | + | 1.25032i | ||||
\(253\) | 7.26222 | − | 7.26222i | 0.456572 | − | 0.456572i | ||||
\(254\) | 10.5916 | + | 18.3453i | 0.664579 | + | 1.15108i | ||||
\(255\) | −11.4063 | + | 11.7697i | −0.714293 | + | 0.737045i | ||||
\(256\) | −1.15801 | + | 2.00573i | −0.0723757 | + | 0.125358i | ||||
\(257\) | 4.03828 | − | 4.03828i | 0.251901 | − | 0.251901i | −0.569849 | − | 0.821750i | \(-0.692998\pi\) |
0.821750 | + | 0.569849i | \(0.192998\pi\) | |||||||
\(258\) | −6.30532 | + | 11.6827i | −0.392552 | + | 0.727333i | ||||
\(259\) | −8.41740 | + | 4.56895i | −0.523032 | + | 0.283901i | ||||
\(260\) | −10.5561 | + | 10.2849i | −0.654660 | + | 0.637842i | ||||
\(261\) | 27.9648 | − | 1.60620i | 1.73098 | − | 0.0994210i | ||||
\(262\) | 0.244527 | − | 0.912587i | 0.0151069 | − | 0.0563798i | ||||
\(263\) | −6.20255 | − | 6.20255i | −0.382466 | − | 0.382466i | 0.489524 | − | 0.871990i | \(-0.337170\pi\) |
−0.871990 | + | 0.489524i | \(0.837170\pi\) | |||||||
\(264\) | −6.46575 | + | 1.93289i | −0.397940 | + | 0.118961i | ||||
\(265\) | 13.9732 | + | 3.93967i | 0.858369 | + | 0.242012i | ||||
\(266\) | −38.7355 | − | 23.7436i | −2.37503 | − | 1.45581i | ||||
\(267\) | −14.2108 | + | 8.75749i | −0.869689 | + | 0.535950i | ||||
\(268\) | 11.6368 | + | 3.11808i | 0.710832 | + | 0.190467i | ||||
\(269\) | 5.09216 | + | 8.81988i | 0.310475 | + | 0.537758i | 0.978465 | − | 0.206412i | \(-0.0661787\pi\) |
−0.667991 | + | 0.744170i | \(0.732845\pi\) | |||||||
\(270\) | −24.5088 | − | 4.68178i | −1.49156 | − | 0.284924i | ||||
\(271\) | −11.5564 | + | 20.0162i | −0.701998 | + | 1.21590i | 0.265766 | + | 0.964038i | \(0.414375\pi\) |
−0.967764 | + | 0.251859i | \(0.918958\pi\) | |||||||
\(272\) | 2.63077 | + | 9.81818i | 0.159514 | + | 0.595314i | ||||
\(273\) | −10.0286 | − | 5.75818i | −0.606960 | − | 0.348501i | ||||
\(274\) | 15.9255 | − | 9.19461i | 0.962097 | − | 0.555467i | ||||
\(275\) | −0.385752 | + | 14.8210i | −0.0232618 | + | 0.893740i | ||||
\(276\) | −3.61965 | + | 15.2452i | −0.217877 | + | 0.917651i | ||||
\(277\) | 7.52653 | + | 7.52653i | 0.452226 | + | 0.452226i | 0.896093 | − | 0.443867i | \(-0.146394\pi\) |
−0.443867 | + | 0.896093i | \(0.646394\pi\) | |||||||
\(278\) | 16.2472 | − | 4.35342i | 0.974440 | − | 0.261100i | ||||
\(279\) | 22.0394 | − | 1.26586i | 1.31946 | − | 0.0757852i | ||||
\(280\) | −4.14841 | + | 6.57422i | −0.247915 | + | 0.392885i | ||||
\(281\) | 8.98038 | + | 5.18483i | 0.535725 | + | 0.309301i | 0.743345 | − | 0.668909i | \(-0.233238\pi\) |
−0.207620 | + | 0.978210i | \(0.566572\pi\) | |||||||
\(282\) | −5.45851 | − | 8.85756i | −0.325049 | − | 0.527460i | ||||
\(283\) | −0.955262 | − | 3.56509i | −0.0567844 | − | 0.211922i | 0.931704 | − | 0.363218i | \(-0.118322\pi\) |
−0.988489 | + | 0.151296i | \(0.951655\pi\) | |||||||
\(284\) | −2.95182 | + | 5.11270i | −0.175158 | + | 0.303383i | ||||
\(285\) | 26.5743 | − | 15.9033i | 1.57413 | − | 0.942028i | ||||
\(286\) | 8.03465 | − | 13.9164i | 0.475099 | − | 0.822896i | ||||
\(287\) | 4.87487 | − | 4.62495i | 0.287754 | − | 0.273002i | ||||
\(288\) | −15.5426 | + | 17.4368i | −0.915855 | + | 1.02747i | ||||
\(289\) | 0.786911 | + | 0.454323i | 0.0462889 | + | 0.0267249i | ||||
\(290\) | 31.2888 | + | 32.1138i | 1.83734 | + | 1.88579i | ||||
\(291\) | −17.4281 | − | 4.13793i | −1.02165 | − | 0.242570i | ||||
\(292\) | −4.41503 | − | 4.41503i | −0.258370 | − | 0.258370i | ||||
\(293\) | −3.08148 | + | 11.5002i | −0.180022 | + | 0.671850i | 0.815620 | + | 0.578588i | \(0.196396\pi\) |
−0.995642 | + | 0.0932622i | \(0.970271\pi\) | |||||||
\(294\) | −24.9818 | − | 7.33847i | −1.45697 | − | 0.427988i | ||||
\(295\) | 25.4005 | + | 15.1090i | 1.47887 | + | 0.879678i | ||||
\(296\) | 4.11930 | + | 2.37828i | 0.239429 | + | 0.138235i | ||||
\(297\) | 15.3506 | − | 1.32435i | 0.890734 | − | 0.0768463i | ||||
\(298\) | −10.5936 | − | 2.83854i | −0.613670 | − | 0.164432i | ||||
\(299\) | −4.37023 | − | 7.56946i | −0.252737 | − | 0.437753i | ||||
\(300\) | −11.3619 | − | 19.5587i | −0.655977 | − | 1.12922i | ||||
\(301\) | −4.50476 | − | 8.29914i | −0.259650 | − | 0.478354i | ||||
\(302\) | 13.2320 | + | 3.54549i | 0.761414 | + | 0.204020i | ||||
\(303\) | −1.40119 | + | 2.59616i | −0.0804960 | + | 0.149146i | ||||
\(304\) | − | 19.2063i | − | 1.10156i | ||||||
\(305\) | 3.44649 | − | 1.93048i | 0.197345 | − | 0.110539i | ||||
\(306\) | 1.56337 | + | 27.2192i | 0.0893720 | + | 1.55602i | ||||
\(307\) | 20.9597 | + | 20.9597i | 1.19623 | + | 1.19623i | 0.975286 | + | 0.220948i | \(0.0709151\pi\) |
0.220948 | + | 0.975286i | \(0.429085\pi\) | |||||||
\(308\) | 5.82202 | − | 19.6460i | 0.331740 | − | 1.11944i | ||||
\(309\) | −7.28363 | + | 2.17738i | −0.414351 | + | 0.123867i | ||||
\(310\) | 24.6591 | + | 25.3093i | 1.40054 | + | 1.43747i | ||||
\(311\) | −5.20047 | − | 3.00249i | −0.294891 | − | 0.170256i | 0.345254 | − | 0.938509i | \(-0.387793\pi\) |
−0.640146 | + | 0.768254i | \(0.721126\pi\) | |||||||
\(312\) | 0.164731 | + | 5.74086i | 0.00932608 | + | 0.325012i | ||||
\(313\) | −1.65580 | − | 0.443671i | −0.0935915 | − | 0.0250778i | 0.211719 | − | 0.977331i | \(-0.432094\pi\) |
−0.305311 | + | 0.952253i | \(0.598760\pi\) | |||||||
\(314\) | −17.7786 | −1.00331 | ||||||||
\(315\) | 12.3212 | − | 12.7745i | 0.694221 | − | 0.719762i | ||||
\(316\) | −19.3386 | −1.08788 | ||||||||
\(317\) | 25.7131 | + | 6.88980i | 1.44419 | + | 0.386970i | 0.893999 | − | 0.448069i | \(-0.147888\pi\) |
0.550192 | + | 0.835038i | \(0.314555\pi\) | |||||||
\(318\) | 20.5597 | − | 12.6700i | 1.15293 | − | 0.710499i | ||||
\(319\) | −23.9768 | − | 13.8430i | −1.34244 | − | 0.775059i | ||||
\(320\) | −26.6451 | − | 0.346693i | −1.48951 | − | 0.0193807i | ||||
\(321\) | 1.04934 | − | 4.41959i | 0.0585684 | − | 0.246677i | ||||
\(322\) | −13.5448 | − | 14.2768i | −0.754824 | − | 0.795612i | ||||
\(323\) | −23.9279 | − | 23.9279i | −1.33138 | − | 1.33138i | ||||
\(324\) | −18.8779 | + | 14.0069i | −1.04877 | + | 0.778161i | ||||
\(325\) | 12.0985 | + | 3.58166i | 0.671105 | + | 0.198675i | ||||
\(326\) | 1.23039i | 0.0681452i | ||||||||
\(327\) | −7.44253 | + | 0.213560i | −0.411573 | + | 0.0118099i | ||||
\(328\) | −3.22356 | − | 0.863751i | −0.177992 | − | 0.0476927i | ||||
\(329\) | 7.39805 | + | 0.194624i | 0.407868 | + | 0.0107299i | ||||
\(330\) | 17.7103 | + | 17.1636i | 0.974919 | + | 0.944823i | ||||
\(331\) | 1.15024 | + | 1.99227i | 0.0632227 | + | 0.109505i | 0.895904 | − | 0.444247i | \(-0.146529\pi\) |
−0.832682 | + | 0.553752i | \(0.813195\pi\) | |||||||
\(332\) | −5.30661 | − | 1.42190i | −0.291238 | − | 0.0780370i | ||||
\(333\) | −8.10676 | − | 7.22610i | −0.444248 | − | 0.395988i | ||||
\(334\) | −6.70138 | − | 3.86905i | −0.366683 | − | 0.211705i | ||||
\(335\) | −2.53961 | − | 9.99642i | −0.138754 | − | 0.546163i | ||||
\(336\) | −2.87415 | − | 10.6250i | −0.156798 | − | 0.579643i | ||||
\(337\) | −3.67162 | + | 13.7027i | −0.200006 | + | 0.746433i | 0.790908 | + | 0.611935i | \(0.209609\pi\) |
−0.990914 | + | 0.134498i | \(0.957058\pi\) | |||||||
\(338\) | 10.0708 | + | 10.0708i | 0.547777 | + | 0.547777i | ||||
\(339\) | −19.6997 | + | 20.8637i | −1.06994 | + | 1.13316i | ||||
\(340\) | −17.7023 | + | 17.2475i | −0.960041 | + | 0.935378i | ||||
\(341\) | −18.8964 | − | 10.9098i | −1.02330 | − | 0.590801i | ||||
\(342\) | 10.4582 | − | 50.4440i | 0.565512 | − | 2.72770i | ||||
\(343\) | 14.0873 | − | 12.0228i | 0.760642 | − | 0.649171i | ||||
\(344\) | −2.34486 | + | 4.06142i | −0.126427 | + | 0.218977i | ||||
\(345\) | 12.9014 | − | 3.67462i | 0.694590 | − | 0.197835i | ||||
\(346\) | 0.927748 | − | 1.60691i | 0.0498761 | − | 0.0863879i | ||||
\(347\) | −6.81351 | − | 25.4284i | −0.365768 | − | 1.36507i | −0.866376 | − | 0.499392i | \(-0.833557\pi\) |
0.500608 | − | 0.865674i | \(-0.333110\pi\) | |||||||
\(348\) | 42.2219 | − | 1.21154i | 2.26333 | − | 0.0649452i | ||||
\(349\) | −3.45651 | − | 1.99562i | −0.185023 | − | 0.106823i | 0.404628 | − | 0.914482i | \(-0.367401\pi\) |
−0.589650 | + | 0.807659i | \(0.700734\pi\) | |||||||
\(350\) | 28.3702 | + | 1.48577i | 1.51645 | + | 0.0794176i | ||||
\(351\) | 2.29254 | − | 12.9106i | 0.122367 | − | 0.689115i | ||||
\(352\) | 22.3008 | − | 5.97547i | 1.18863 | − | 0.318494i | ||||
\(353\) | −19.9099 | − | 19.9099i | −1.05970 | − | 1.05970i | −0.998101 | − | 0.0615960i | \(-0.980381\pi\) |
−0.0615960 | − | 0.998101i | \(-0.519619\pi\) | |||||||
\(354\) | 47.1031 | − | 14.0811i | 2.50350 | − | 0.748402i | ||||
\(355\) | 5.05380 | + | 0.0657576i | 0.268228 | + | 0.00349005i | ||||
\(356\) | −21.7993 | + | 12.5858i | −1.15536 | + | 0.667048i | ||||
\(357\) | −16.8178 | − | 9.65632i | −0.890090 | − | 0.511067i | ||||
\(358\) | 0.182259 | + | 0.680199i | 0.00963268 | + | 0.0359496i | ||||
\(359\) | 12.4584 | − | 21.5786i | 0.657529 | − | 1.13887i | −0.323724 | − | 0.946152i | \(-0.604935\pi\) |
0.981253 | − | 0.192723i | \(-0.0617318\pi\) | |||||||
\(360\) | −8.60694 | − | 1.90153i | −0.453626 | − | 0.100219i | ||||
\(361\) | 22.4703 | + | 38.9197i | 1.18265 | + | 2.04841i | ||||
\(362\) | −39.8538 | − | 10.6788i | −2.09467 | − | 0.561265i | ||||
\(363\) | 3.36482 | + | 1.81604i | 0.176607 | + | 0.0953174i | ||||
\(364\) | −14.8675 | − | 9.11328i | −0.779267 | − | 0.477666i | ||||
\(365\) | −1.45056 | + | 5.14486i | −0.0759258 | + | 0.269294i | ||||
\(366\) | 1.51800 | − | 6.39349i | 0.0793471 | − | 0.334193i | ||||
\(367\) | −3.78691 | − | 3.78691i | −0.197675 | − | 0.197675i | 0.601328 | − | 0.799003i | \(-0.294639\pi\) |
−0.799003 | + | 0.601328i | \(0.794639\pi\) | |||||||
\(368\) | 2.15319 | − | 8.03581i | 0.112243 | − | 0.418895i | ||||
\(369\) | 6.80622 | + | 3.42507i | 0.354318 | + | 0.178302i | ||||
\(370\) | 0.226160 | − | 17.3815i | 0.0117575 | − | 0.903623i | ||||
\(371\) | −0.451751 | + | 17.1720i | −0.0234537 | + | 0.891525i | ||||
\(372\) | 33.2756 | − | 0.954827i | 1.72526 | − | 0.0495055i | ||||
\(373\) | 24.4880 | − | 24.4880i | 1.26794 | − | 1.26794i | 0.320792 | − | 0.947150i | \(-0.396051\pi\) |
0.947150 | − | 0.320792i | \(-0.103949\pi\) | |||||||
\(374\) | 13.4739 | − | 23.3375i | 0.696720 | − | 1.20675i | ||||
\(375\) | −9.85544 | + | 16.6694i | −0.508933 | + | 0.860806i | ||||
\(376\) | −1.83772 | − | 3.18302i | −0.0947732 | − | 0.164152i | ||||
\(377\) | −16.6608 | + | 16.6608i | −0.858073 | + | 0.858073i | ||||
\(378\) | −1.76324 | − | 29.4709i | −0.0906912 | − | 1.51582i | ||||
\(379\) | 22.8825i | 1.17539i | 0.809081 | + | 0.587697i | \(0.199965\pi\) | ||||
−0.809081 | + | 0.587697i | \(0.800035\pi\) | |||||||
\(380\) | 40.7444 | − | 22.8222i | 2.09014 | − | 1.17075i | ||||
\(381\) | −4.89346 | − | 16.3693i | −0.250700 | − | 0.838622i | ||||
\(382\) | 6.62895 | − | 1.77622i | 0.339166 | − | 0.0908793i | ||||
\(383\) | 5.77828 | + | 5.77828i | 0.295257 | + | 0.295257i | 0.839153 | − | 0.543896i | \(-0.183051\pi\) |
−0.543896 | + | 0.839153i | \(0.683051\pi\) | |||||||
\(384\) | −11.9149 | + | 12.6188i | −0.608028 | + | 0.643953i | ||||
\(385\) | −17.1100 | + | 3.87084i | −0.872006 | + | 0.197276i | ||||
\(386\) | 26.0417i | 1.32549i | ||||||||
\(387\) | 7.12457 | − | 7.99286i | 0.362162 | − | 0.406300i | ||||
\(388\) | −26.0910 | − | 6.99106i | −1.32457 | − | 0.354917i | ||||
\(389\) | −22.5045 | −1.14102 | −0.570512 | − | 0.821289i | \(-0.693255\pi\) | ||||
−0.570512 | + | 0.821289i | \(0.693255\pi\) | |||||||
\(390\) | 18.0101 | − | 10.7781i | 0.911978 | − | 0.545768i | ||||
\(391\) | −7.32878 | − | 12.6938i | −0.370632 | − | 0.641954i | ||||
\(392\) | −8.74704 | − | 2.84443i | −0.441792 | − | 0.143666i | ||||
\(393\) | −0.361914 | + | 0.670565i | −0.0182561 | + | 0.0338255i | ||||
\(394\) | −51.2811 | + | 29.6071i | −2.58350 | + | 1.49159i | ||||
\(395\) | 8.09082 | + | 14.4445i | 0.407094 | + | 0.726783i | ||||
\(396\) | 23.1959 | − | 1.33229i | 1.16564 | − | 0.0669499i | ||||
\(397\) | −28.7110 | + | 7.69308i | −1.44096 | + | 0.386105i | −0.892871 | − | 0.450313i | \(-0.851312\pi\) |
−0.548092 | + | 0.836418i | \(0.684646\pi\) | |||||||
\(398\) | 6.86661 | − | 1.83990i | 0.344192 | − | 0.0922260i | ||||
\(399\) | 25.9727 | + | 25.8491i | 1.30026 | + | 1.29407i | ||||
\(400\) | 5.73212 | + | 10.5533i | 0.286606 | + | 0.527663i | ||||
\(401\) | − | 12.7756i | − | 0.637986i | −0.947757 | − | 0.318993i | \(-0.896655\pi\) | ||
0.947757 | − | 0.318993i | \(-0.103345\pi\) | |||||||
\(402\) | −15.0983 | − | 8.14876i | −0.753034 | − | 0.406423i | ||||
\(403\) | −13.1306 | + | 13.1306i | −0.654080 | + | 0.654080i | ||||
\(404\) | −2.22435 | + | 3.85269i | −0.110666 | + | 0.191678i | ||||
\(405\) | 18.3602 | + | 8.24024i | 0.912328 | + | 0.409461i | ||||
\(406\) | −27.7245 | + | 45.2299i | −1.37594 | + | 2.24472i | ||||
\(407\) | 2.77813 | + | 10.3681i | 0.137707 | + | 0.513929i | ||||
\(408\) | 0.276251 | + | 9.62729i | 0.0136764 | + | 0.476622i | ||||
\(409\) | 23.8111 | + | 13.7473i | 1.17738 | + | 0.679761i | 0.955407 | − | 0.295291i | \(-0.0954167\pi\) |
0.221974 | + | 0.975053i | \(0.428750\pi\) | |||||||
\(410\) | 3.00307 | + | 11.8207i | 0.148311 | + | 0.583783i | ||||
\(411\) | −14.2102 | + | 4.24802i | −0.700935 | + | 0.209539i | ||||
\(412\) | −11.0731 | + | 2.96702i | −0.545531 | + | 0.146175i | ||||
\(413\) | −9.93588 | + | 33.5280i | −0.488913 | + | 1.64981i | ||||
\(414\) | 10.0308 | − | 19.9330i | 0.492988 | − | 0.979654i | ||||
\(415\) | 1.15811 | + | 4.55855i | 0.0568493 | + | 0.223771i | ||||
\(416\) | − | 19.6483i | − | 0.963339i | ||||||
\(417\) | −13.5606 | + | 0.389114i | −0.664064 | + | 0.0190550i | ||||
\(418\) | −36.0053 | + | 36.0053i | −1.76108 | + | 1.76108i | ||||
\(419\) | −1.56141 | − | 2.70444i | −0.0762797 | − | 0.132120i | 0.825362 | − | 0.564603i | \(-0.190971\pi\) |
−0.901642 | + | 0.432483i | \(0.857638\pi\) | |||||||
\(420\) | 19.1247 | − | 18.7226i | 0.933192 | − | 0.913568i | ||||
\(421\) | 16.3356 | − | 28.2941i | 0.796148 | − | 1.37897i | −0.125959 | − | 0.992035i | \(-0.540201\pi\) |
0.922107 | − | 0.386934i | \(-0.126466\pi\) | |||||||
\(422\) | 5.12292 | + | 19.1190i | 0.249380 | + | 0.930699i | ||||
\(423\) | 2.63309 | + | 7.96769i | 0.128025 | + | 0.387402i | ||||
\(424\) | 7.38828 | − | 4.26562i | 0.358807 | − | 0.207157i | ||||
\(425\) | 20.2889 | + | 6.00635i | 0.984157 | + | 0.291351i | ||||
\(426\) | 5.77206 | − | 6.11310i | 0.279657 | − | 0.296181i | ||||
\(427\) | 3.21702 | + | 3.39085i | 0.155682 | + | 0.164095i | ||||
\(428\) | 1.77287 | − | 6.61643i | 0.0856947 | − | 0.319817i | ||||
\(429\) | −8.89778 | + | 9.42350i | −0.429589 | + | 0.454971i | ||||
\(430\) | 17.1373 | + | 0.222982i | 0.826435 | + | 0.0107532i | ||||
\(431\) | 34.6782 | − | 20.0215i | 1.67039 | − | 0.964400i | 0.702972 | − | 0.711217i | \(-0.251856\pi\) |
0.967418 | − | 0.253183i | \(-0.0814775\pi\) | |||||||
\(432\) | 10.2322 | − | 7.14627i | 0.492296 | − | 0.343825i | ||||
\(433\) | 14.3548 | − | 14.3548i | 0.689847 | − | 0.689847i | −0.272351 | − | 0.962198i | \(-0.587801\pi\) |
0.962198 | + | 0.272351i | \(0.0878011\pi\) | |||||||
\(434\) | −21.8500 | + | 35.6463i | −1.04883 | + | 1.71108i | ||||
\(435\) | −18.5696 | − | 31.0298i | −0.890345 | − | 1.48777i | ||||
\(436\) | −11.2276 | −0.537707 | ||||||||
\(437\) | 7.16828 | + | 26.7524i | 0.342905 | + | 1.27974i | ||||
\(438\) | 4.66502 | + | 7.56996i | 0.222903 | + | 0.361707i | ||||
\(439\) | −19.0079 | + | 10.9742i | −0.907199 | + | 0.523771i | −0.879529 | − | 0.475846i | \(-0.842142\pi\) |
−0.0276699 | + | 0.999617i | \(0.508809\pi\) | |||||||
\(440\) | 6.07982 | + | 6.24012i | 0.289844 | + | 0.297486i | ||||
\(441\) | 18.2364 | + | 10.4131i | 0.868401 | + | 0.495863i | ||||
\(442\) | −16.2166 | − | 16.2166i | −0.771344 | − | 0.771344i | ||||
\(443\) | −5.23942 | + | 19.5538i | −0.248932 | + | 0.929028i | 0.722434 | + | 0.691440i | \(0.243023\pi\) |
−0.971366 | + | 0.237588i | \(0.923643\pi\) | |||||||
\(444\) | −11.9071 | − | 11.2428i | −0.565085 | − | 0.533560i | ||||
\(445\) | 18.5211 | + | 11.0169i | 0.877983 | + | 0.522251i | ||||
\(446\) | − | 57.2177i | − | 2.70934i | ||||||
\(447\) | 7.78412 | + | 4.20120i | 0.368176 | + | 0.198710i | ||||
\(448\) | −7.35672 | − | 30.6593i | −0.347572 | − | 1.44852i | ||||
\(449\) | −12.1217 | −0.572057 | −0.286029 | − | 0.958221i | \(-0.592335\pi\) | ||||
−0.286029 | + | 0.958221i | \(0.592335\pi\) | |||||||
\(450\) | 9.30856 | + | 30.8386i | 0.438810 | + | 1.45375i | ||||
\(451\) | −3.76553 | − | 6.52209i | −0.177312 | − | 0.307113i | ||||
\(452\) | −30.5966 | + | 30.5966i | −1.43914 | + | 1.43914i | ||||
\(453\) | −9.72279 | − | 5.24753i | −0.456816 | − | 0.246550i | ||||
\(454\) | 28.4711 | − | 16.4378i | 1.33621 | − | 0.771464i | ||||
\(455\) | −0.586750 | + | 14.9177i | −0.0275073 | + | 0.699354i | ||||
\(456\) | 4.20403 | − | 17.7064i | 0.196872 | − | 0.829180i | ||||
\(457\) | 7.52769 | − | 28.0937i | 0.352130 | − | 1.31417i | −0.531927 | − | 0.846790i | \(-0.678532\pi\) |
0.884058 | − | 0.467378i | \(-0.154801\pi\) | |||||||
\(458\) | 15.3033 | − | 57.1127i | 0.715076 | − | 2.66870i | ||||
\(459\) | 3.84454 | − | 21.6507i | 0.179448 | − | 1.01057i | ||||
\(460\) | 19.6058 | − | 4.98088i | 0.914123 | − | 0.232235i | ||||
\(461\) | −25.9013 | − | 14.9541i | −1.20634 | − | 0.696482i | −0.244384 | − | 0.969679i | \(-0.578586\pi\) |
−0.961958 | + | 0.273197i | \(0.911919\pi\) | |||||||
\(462\) | −14.5303 | + | 25.3063i | −0.676009 | + | 1.17736i | ||||
\(463\) | −10.4746 | − | 2.80667i | −0.486797 | − | 0.130437i | 0.00706873 | − | 0.999975i | \(-0.497750\pi\) |
−0.493866 | + | 0.869538i | \(0.664417\pi\) | |||||||
\(464\) | −22.4265 | −1.04112 | ||||||||
\(465\) | −14.6350 | − | 24.4550i | −0.678680 | − | 1.13407i | ||||
\(466\) | −0.616857 | −0.0285754 | ||||||||
\(467\) | 1.12099 | + | 4.18357i | 0.0518730 | + | 0.193593i | 0.987000 | − | 0.160720i | \(-0.0513816\pi\) |
−0.935127 | + | 0.354313i | \(0.884715\pi\) | |||||||
\(468\) | 4.01405 | − | 19.3614i | 0.185550 | − | 0.894982i | ||||
\(469\) | 10.7255 | − | 5.82178i | 0.495257 | − | 0.268825i | ||||
\(470\) | −6.86679 | + | 11.5441i | −0.316741 | + | 0.532490i | ||||
\(471\) | 13.9512 | + | 3.31243i | 0.642838 | + | 0.152629i | ||||
\(472\) | 16.7754 | − | 4.49495i | 0.772149 | − | 0.206897i | ||||
\(473\) | −10.2225 | + | 2.73910i | −0.470029 | + | 0.125944i | ||||
\(474\) | 26.7956 | + | 6.36207i | 1.23076 | + | 0.292219i | ||||
\(475\) | −34.0931 | − | 20.8848i | −1.56430 | − | 0.958262i | ||||
\(476\) | −24.9324 | − | 15.2828i | −1.14277 | − | 0.700484i | ||||
\(477\) | −18.4942 | + | 6.11181i | −0.846792 | + | 0.279841i | ||||
\(478\) | 7.09186 | + | 26.4672i | 0.324374 | + | 1.21058i | ||||
\(479\) | 9.59612 | 0.438458 | 0.219229 | − | 0.975673i | \(-0.429646\pi\) | ||||
0.219229 | + | 0.975673i | \(0.429646\pi\) | |||||||
\(480\) | 29.2468 | + | 7.34727i | 1.33493 | + | 0.335356i | ||||
\(481\) | 9.13496 | 0.416518 | ||||||||
\(482\) | 34.0861 | + | 9.13333i | 1.55258 | + | 0.416012i | ||||
\(483\) | 7.96891 | + | 13.7268i | 0.362598 | + | 0.624593i | ||||
\(484\) | 4.99337 | + | 2.88292i | 0.226971 | + | 0.131042i | ||||
\(485\) | 5.69407 | + | 22.4130i | 0.258554 | + | 1.01772i | ||||
\(486\) | 30.7653 | − | 13.1976i | 1.39554 | − | 0.598654i | ||||
\(487\) | 5.57493 | − | 20.8059i | 0.252624 | − | 0.942807i | −0.716772 | − | 0.697307i | \(-0.754381\pi\) |
0.969397 | − | 0.245500i | \(-0.0789520\pi\) | |||||||
\(488\) | 0.600807 | − | 2.24224i | 0.0271972 | − | 0.101501i | ||||
\(489\) | 0.229241 | − | 0.965513i | 0.0103666 | − | 0.0436620i | ||||
\(490\) | 6.55239 | + | 32.9693i | 0.296007 | + | 1.48940i | ||||
\(491\) | 26.8698 | − | 15.5133i | 1.21262 | − | 0.700104i | 0.249288 | − | 0.968430i | \(-0.419804\pi\) |
0.963328 | + | 0.268325i | \(0.0864702\pi\) | |||||||
\(492\) | 10.1111 | + | 5.45713i | 0.455845 | + | 0.246026i | ||||
\(493\) | −27.9397 | + | 27.9397i | −1.25834 | + | 1.25834i | ||||
\(494\) | 21.6671 | + | 37.5285i | 0.974849 | + | 1.68849i | ||||
\(495\) | −10.6998 | − | 16.7683i | −0.480919 | − | 0.753677i | ||||
\(496\) | −17.6746 | −0.793612 | ||||||||
\(497\) | 1.39535 | + | 5.81518i | 0.0625902 | + | 0.260846i | ||||
\(498\) | 6.88510 | + | 3.71599i | 0.308528 | + | 0.166517i | ||||
\(499\) | 8.70873i | 0.389856i | 0.980818 | + | 0.194928i | \(0.0624474\pi\) | ||||
−0.980818 | + | 0.194928i | \(0.937553\pi\) | |||||||
\(500\) | −15.5765 | + | 24.7002i | −0.696601 | + | 1.10463i | ||||
\(501\) | 4.53784 | + | 4.28468i | 0.202736 | + | 0.191425i | ||||
\(502\) | −10.4412 | + | 38.9672i | −0.466015 | + | 1.73919i | ||||
\(503\) | 5.64720 | + | 5.64720i | 0.251796 | + | 0.251796i | 0.821707 | − | 0.569911i | \(-0.193022\pi\) |
−0.569911 | + | 0.821707i | \(0.693022\pi\) | |||||||
\(504\) | −0.324011 | − | 10.4244i | −0.0144326 | − | 0.464340i | ||||
\(505\) | 3.80830 | + | 0.0495518i | 0.169467 | + | 0.00220502i | ||||
\(506\) | −19.1009 | + | 11.0279i | −0.849138 | + | 0.490250i | ||||
\(507\) | −6.02637 | − | 9.77904i | −0.267641 | − | 0.434302i | ||||
\(508\) | −6.66809 | − | 24.8857i | −0.295849 | − | 1.10412i | ||||
\(509\) | 18.4255 | 0.816694 | 0.408347 | − | 0.912827i | \(-0.366105\pi\) | ||||
0.408347 | + | 0.912827i | \(0.366105\pi\) | |||||||
\(510\) | 30.2025 | − | 18.0745i | 1.33739 | − | 0.800354i | ||||
\(511\) | −6.32262 | − | 0.166332i | −0.279696 | − | 0.00735808i | ||||
\(512\) | 17.6873 | − | 17.6873i | 0.781677 | − | 0.781677i | ||||
\(513\) | −17.6052 | + | 37.6358i | −0.777288 | + | 1.66166i | ||||
\(514\) | −10.6214 | + | 6.13225i | −0.468488 | + | 0.270482i | ||||
\(515\) | 6.84888 | + | 7.02945i | 0.301798 | + | 0.309755i | ||||
\(516\) | 11.0848 | − | 11.7398i | 0.487983 | − | 0.516815i | ||||
\(517\) | 2.14669 | − | 8.01155i | 0.0944113 | − | 0.352348i | ||||
\(518\) | 20.0002 | − | 4.79904i | 0.878756 | − | 0.210858i | ||||
\(519\) | −1.02741 | + | 1.08812i | −0.0450984 | + | 0.0477630i | ||||
\(520\) | 6.46881 | − | 3.62338i | 0.283676 | − | 0.158896i | ||||
\(521\) | −3.95179 | + | 2.28156i | −0.173131 | + | 0.0999572i | −0.584061 | − | 0.811710i | \(-0.698537\pi\) |
0.410930 | + | 0.911667i | \(0.365204\pi\) | |||||||
\(522\) | −58.9015 | − | 12.2116i | −2.57805 | − | 0.534487i | ||||
\(523\) | −9.07293 | − | 33.8606i | −0.396731 | − | 1.48062i | −0.818811 | − | 0.574063i | \(-0.805366\pi\) |
0.422080 | − | 0.906559i | \(-0.361300\pi\) | |||||||
\(524\) | −0.574530 | + | 0.995115i | −0.0250984 | + | 0.0434718i | ||||
\(525\) | −21.9858 | − | 6.45170i | −0.959539 | − | 0.281575i | ||||
\(526\) | 9.41875 | + | 16.3138i | 0.410677 | + | 0.711314i | ||||
\(527\) | −22.0196 | + | 22.0196i | −0.959190 | + | 0.959190i | ||||
\(528\) | −12.3308 | + | 0.353827i | −0.536630 | + | 0.0153984i | ||||
\(529\) | − | 11.0033i | − | 0.478406i | ||||||
\(530\) | −26.7956 | − | 15.9389i | −1.16393 | − | 0.692339i | ||||
\(531\) | −39.5862 | + | 2.27368i | −1.71789 | + | 0.0986695i | ||||
\(532\) | 38.0316 | + | 40.0866i | 1.64888 | + | 1.73798i | ||||
\(533\) | −6.19084 | + | 1.65883i | −0.268155 | + | 0.0718520i | ||||
\(534\) | 34.3458 | − | 10.2674i | 1.48629 | − | 0.444315i | ||||
\(535\) | −5.68373 | + | 1.44396i | −0.245729 | + | 0.0624279i | ||||
\(536\) | −5.24883 | − | 3.03041i | −0.226715 | − | 0.130894i | ||||
\(537\) | −0.0162905 | − | 0.567722i | −0.000702988 | − | 0.0244990i | ||||
\(538\) | −5.66065 | − | 21.1258i | −0.244048 | − | 0.910800i | ||||
\(539\) | −9.41873 | − | 18.4964i | −0.405693 | − | 0.796696i | ||||
\(540\) | 27.3187 | + | 13.2150i | 1.17561 | + | 0.568681i | ||||
\(541\) | −6.70484 | + | 11.6131i | −0.288264 | + | 0.499287i | −0.973395 | − | 0.229132i | \(-0.926411\pi\) |
0.685132 | + | 0.728419i | \(0.259745\pi\) | |||||||
\(542\) | 35.0973 | − | 35.0973i | 1.50756 | − | 1.50756i | ||||
\(543\) | 29.2844 | + | 15.8052i | 1.25671 | + | 0.678267i | ||||
\(544\) | − | 32.9498i | − | 1.41271i | ||||||
\(545\) | 4.69740 | + | 8.38625i | 0.201214 | + | 0.359227i | ||||
\(546\) | 17.6024 | + | 17.5186i | 0.753311 | + | 0.749726i | ||||
\(547\) | −9.65291 | + | 2.58649i | −0.412729 | + | 0.110590i | −0.459208 | − | 0.888329i | \(-0.651867\pi\) |
0.0464789 | + | 0.998919i | \(0.485200\pi\) | |||||||
\(548\) | −21.6033 | + | 5.78857i | −0.922845 | + | 0.247276i | ||||
\(549\) | −2.38241 | + | 4.73426i | −0.101679 | + | 0.202053i | ||||
\(550\) | 9.03800 | − | 30.5295i | 0.385382 | − | 1.30178i | ||||
\(551\) | 64.6583 | − | 37.3305i | 2.75454 | − | 1.59033i | ||||
\(552\) | 3.74398 | − | 6.93696i | 0.159354 | − | 0.295257i | ||||
\(553\) | −14.2113 | + | 13.4828i | −0.604328 | + | 0.573346i | ||||
\(554\) | −11.4293 | − | 19.7961i | −0.485583 | − | 0.841054i | ||||
\(555\) | −3.41592 | + | 13.5975i | −0.144998 | + | 0.577181i | ||||
\(556\) | −20.4572 | −0.867578 | ||||||||
\(557\) | −1.76877 | − | 0.473939i | −0.0749450 | − | 0.0200815i | 0.221152 | − | 0.975239i | \(-0.429018\pi\) |
−0.296097 | + | 0.955158i | \(0.595685\pi\) | |||||||
\(558\) | −46.4210 | − | 9.62410i | −1.96516 | − | 0.407421i | ||||
\(559\) | 9.00661i | 0.380939i | ||||||||
\(560\) | −10.4350 | + | 9.64522i | −0.440960 | + | 0.407585i | ||||
\(561\) | −14.9214 | + | 15.8030i | −0.629981 | + | 0.667203i | ||||
\(562\) | −15.7466 | − | 15.7466i | −0.664231 | − | 0.664231i | ||||
\(563\) | 17.2502 | − | 4.62217i | 0.727008 | − | 0.194801i | 0.123712 | − | 0.992318i | \(-0.460520\pi\) |
0.603297 | + | 0.797517i | \(0.293854\pi\) | |||||||
\(564\) | 3.62434 | + | 12.1239i | 0.152612 | + | 0.510508i | ||||
\(565\) | 35.6544 | + | 10.0525i | 1.49999 | + | 0.422913i | ||||
\(566\) | 7.92619i | 0.333163i | ||||||||
\(567\) | −4.10722 | + | 23.4549i | −0.172487 | + | 0.985012i | ||||
\(568\) | 2.10013 | − | 2.10013i | 0.0881194 | − | 0.0881194i | ||||
\(569\) | −15.1038 | − | 26.1606i | −0.633186 | − | 1.09671i | −0.986896 | − | 0.161356i | \(-0.948413\pi\) |
0.353710 | − | 0.935355i | \(-0.384920\pi\) | |||||||
\(570\) | −63.9638 | + | 18.2184i | −2.67915 | + | 0.763083i | ||||
\(571\) | −2.80193 | + | 4.85309i | −0.117257 | + | 0.203096i | −0.918680 | − | 0.395003i | \(-0.870744\pi\) |
0.801423 | + | 0.598099i | \(0.204077\pi\) | |||||||
\(572\) | −13.8196 | + | 13.8196i | −0.577825 | + | 0.577825i | ||||
\(573\) | −5.53279 | + | 0.158761i | −0.231136 | + | 0.00663233i | ||||
\(574\) | −12.6828 | + | 6.88422i | −0.529371 | + | 0.287342i | ||||
\(575\) | −11.9230 | − | 12.5602i | −0.497223 | − | 0.523797i | ||||
\(576\) | 29.8855 | − | 19.6216i | 1.24523 | − | 0.817566i | ||||
\(577\) | 6.12806 | − | 22.8702i | 0.255114 | − | 0.952100i | −0.712912 | − | 0.701253i | \(-0.752624\pi\) |
0.968027 | − | 0.250847i | \(-0.0807091\pi\) | |||||||
\(578\) | −1.37981 | − | 1.37981i | −0.0573924 | − | 0.0573924i | ||||
\(579\) | 4.85197 | − | 20.4354i | 0.201641 | − | 0.849268i | ||||
\(580\) | −26.6486 | − | 47.5756i | −1.10652 | − | 1.97547i | ||||
\(581\) | −4.89102 | + | 2.65484i | −0.202914 | + | 0.110141i | ||||
\(582\) | 33.8519 | + | 18.2704i | 1.40321 | + | 0.757331i | ||||
\(583\) | 18.5960 | + | 4.98279i | 0.770169 | + | 0.206366i | ||||
\(584\) | 1.57058 | + | 2.72032i | 0.0649909 | + | 0.112568i | ||||
\(585\) | −16.1410 | + | 5.10218i | −0.667348 | + | 0.210949i | ||||
\(586\) | 12.7841 | − | 22.1427i | 0.528107 | − | 0.914708i | ||||
\(587\) | −5.80256 | − | 21.6554i | −0.239497 | − | 0.893816i | −0.976070 | − | 0.217457i | \(-0.930224\pi\) |
0.736573 | − | 0.676358i | \(-0.236443\pi\) | |||||||
\(588\) | 27.0381 | + | 16.4849i | 1.11503 | + | 0.679824i | ||||
\(589\) | 50.9580 | − | 29.4206i | 2.09969 | − | 1.21226i | ||||
\(590\) | −44.2916 | − | 45.4593i | −1.82345 | − | 1.87153i | ||||
\(591\) | 45.7575 | − | 13.6788i | 1.88221 | − | 0.562672i | ||||
\(592\) | 6.14812 | + | 6.14812i | 0.252686 | + | 0.252686i | ||||
\(593\) | 26.8462 | − | 7.19342i | 1.10244 | − | 0.295398i | 0.338683 | − | 0.940900i | \(-0.390019\pi\) |
0.763758 | + | 0.645502i | \(0.223352\pi\) | |||||||
\(594\) | −32.5787 | − | 5.78504i | −1.33672 | − | 0.237363i | ||||
\(595\) | −0.983966 | + | 25.0167i | −0.0403387 | + | 1.02558i | ||||
\(596\) | 11.5516 | + | 6.66931i | 0.473171 | + | 0.273186i | ||||
\(597\) | −5.73116 | + | 0.164453i | −0.234561 | + | 0.00673061i | ||||
\(598\) | 4.85813 | + | 18.1308i | 0.198664 | + | 0.741423i | ||||
\(599\) | 20.1331 | − | 34.8716i | 0.822617 | − | 1.42481i | −0.0811106 | − | 0.996705i | \(-0.525847\pi\) |
0.903727 | − | 0.428109i | \(-0.140820\pi\) | |||||||
\(600\) | 2.97450 | + | 10.9838i | 0.121434 | + | 0.448413i | ||||
\(601\) | −5.64985 | + | 9.78583i | −0.230462 | + | 0.399172i | −0.957944 | − | 0.286954i | \(-0.907357\pi\) |
0.727482 | + | 0.686127i | \(0.240691\pi\) | |||||||
\(602\) | 4.73162 | + | 19.7191i | 0.192846 | + | 0.803692i | ||||
\(603\) | 10.3297 | + | 9.20752i | 0.420656 | + | 0.374959i | ||||
\(604\) | −14.4286 | − | 8.33033i | −0.587090 | − | 0.338956i | ||||
\(605\) | 0.0642228 | − | 4.93584i | 0.00261103 | − | 0.200671i | ||||
\(606\) | 4.34955 | − | 4.60654i | 0.176688 | − | 0.187128i | ||||
\(607\) | −23.4655 | − | 23.4655i | −0.952437 | − | 0.952437i | 0.0464824 | − | 0.998919i | \(-0.485199\pi\) |
−0.998919 | + | 0.0464824i | \(0.985199\pi\) | |||||||
\(608\) | −16.1141 | + | 60.1386i | −0.653513 | + | 2.43894i | ||||
\(609\) | 30.1830 | − | 30.3273i | 1.22307 | − | 1.22892i | ||||
\(610\) | −8.22222 | + | 2.08887i | −0.332908 | + | 0.0845759i | ||||
\(611\) | −6.11299 | − | 3.52933i | −0.247305 | − | 0.142782i | ||||
\(612\) | 6.73147 | − | 32.4686i | 0.272104 | − | 1.31247i | ||||
\(613\) | 6.59890 | + | 1.76817i | 0.266527 | + | 0.0714157i | 0.389607 | − | 0.920981i | \(-0.372611\pi\) |
−0.123081 | + | 0.992397i | \(0.539277\pi\) | |||||||
\(614\) | −31.8279 | − | 55.1276i | −1.28447 | − | 2.22477i | ||||
\(615\) | −0.154192 | − | 9.83544i | −0.00621761 | − | 0.396603i | ||||
\(616\) | −5.38723 | + | 8.78877i | −0.217058 | + | 0.354110i | ||||
\(617\) | −18.4246 | − | 4.93685i | −0.741746 | − | 0.198750i | −0.131892 | − | 0.991264i | \(-0.542105\pi\) |
−0.609854 | + | 0.792514i | \(0.708772\pi\) | |||||||
\(618\) | 16.3190 | − | 0.468266i | 0.656447 | − | 0.0188364i | ||||
\(619\) | 20.8978i | 0.839954i | 0.907535 | + | 0.419977i | \(0.137962\pi\) | ||||
−0.907535 | + | 0.419977i | \(0.862038\pi\) | |||||||
\(620\) | −21.0021 | − | 37.4950i | −0.843464 | − | 1.50583i | ||||
\(621\) | −11.5852 | + | 13.7729i | −0.464898 | + | 0.552688i | ||||
\(622\) | 9.11874 | + | 9.11874i | 0.365628 | + | 0.365628i | ||||
\(623\) | −7.24488 | + | 24.4474i | −0.290260 | + | 0.979464i | ||||
\(624\) | −2.42519 | + | 10.2144i | −0.0970854 | + | 0.408903i | ||||
\(625\) | 24.9662 | + | 1.30049i | 0.998646 | + | 0.0520196i | ||||
\(626\) | 3.18811 | + | 1.84066i | 0.127423 | + | 0.0735675i | ||||
\(627\) | 34.9623 | − | 21.5457i | 1.39626 | − | 0.860452i | ||||
\(628\) | 20.8859 | + | 5.59637i | 0.833440 | + | 0.223319i | ||||
\(629\) | 15.3191 | 0.610813 | ||||||||
\(630\) | −32.6588 | + | 19.6504i | −1.30116 | + | 0.782891i | ||||
\(631\) | 38.2590 | 1.52307 | 0.761533 | − | 0.648127i | \(-0.224447\pi\) | ||||
0.761533 | + | 0.648127i | \(0.224447\pi\) | |||||||
\(632\) | 9.39742 | + | 2.51803i | 0.373809 | + | 0.100162i | ||||
\(633\) | −0.457894 | − | 15.9575i | −0.0181996 | − | 0.634255i | ||||
\(634\) | −49.5084 | − | 28.5837i | −1.96623 | − | 1.13520i | ||||
\(635\) | −15.7980 | + | 15.3922i | −0.626926 | + | 0.610821i | ||||
\(636\) | −28.1414 | + | 8.41265i | −1.11588 | + | 0.333583i | ||||
\(637\) | −17.2794 | + | 3.66847i | −0.684636 | + | 0.145350i | ||||
\(638\) | 42.0420 | + | 42.0420i | 1.66446 | + | 1.66446i | ||||
\(639\) | −5.66840 | + | 3.72164i | −0.224239 | + | 0.147226i | ||||
\(640\) | 21.5646 | + | 6.08001i | 0.852416 | + | 0.240333i | ||||
\(641\) | 0.688452i | 0.0271922i | 0.999908 | + | 0.0135961i | \(0.00432791\pi\) | ||||
−0.999908 | + | 0.0135961i | \(0.995672\pi\) | |||||||
\(642\) | −4.63319 | + | 8.58453i | −0.182858 | + | 0.338804i | ||||
\(643\) | −21.3526 | − | 5.72141i | −0.842064 | − | 0.225630i | −0.188094 | − | 0.982151i | \(-0.560231\pi\) |
−0.653970 | + | 0.756521i | \(0.726898\pi\) | |||||||
\(644\) | 11.4181 | + | 21.0357i | 0.449937 | + | 0.828921i | ||||
\(645\) | −13.4064 | − | 3.36792i | −0.527878 | − | 0.132612i | ||||
\(646\) | 36.3352 | + | 62.9345i | 1.42959 | + | 2.47612i | ||||
\(647\) | −46.5280 | − | 12.4671i | −1.82920 | − | 0.490134i | −0.831359 | − | 0.555736i | \(-0.812436\pi\) |
−0.997846 | + | 0.0656024i | \(0.979103\pi\) | |||||||
\(648\) | 10.9974 | − | 4.34850i | 0.432017 | − | 0.170825i | ||||
\(649\) | 33.9408 | + | 19.5958i | 1.33229 | + | 0.769201i | ||||
\(650\) | −23.1058 | − | 14.1542i | −0.906283 | − | 0.555174i | ||||
\(651\) | 23.7876 | − | 23.9013i | 0.932308 | − | 0.936766i | ||||
\(652\) | 0.387304 | − | 1.44544i | 0.0151680 | − | 0.0566078i | ||||
\(653\) | −8.95049 | − | 8.95049i | −0.350260 | − | 0.350260i | 0.509946 | − | 0.860206i | \(-0.329665\pi\) |
−0.860206 | + | 0.509946i | \(0.829665\pi\) | |||||||
\(654\) | 15.5571 | + | 3.69371i | 0.608331 | + | 0.144435i | ||||
\(655\) | 0.983650 | + | 0.0127988i | 0.0384344 | + | 0.000500089i | ||||
\(656\) | −5.28309 | − | 3.05019i | −0.206270 | − | 0.119090i | ||||
\(657\) | −2.25033 | − | 6.80945i | −0.0877937 | − | 0.265662i | ||||
\(658\) | −15.2380 | − | 4.51570i | −0.594038 | − | 0.176040i | ||||
\(659\) | 2.19544 | − | 3.80261i | 0.0855221 | − | 0.148129i | −0.820091 | − | 0.572232i | \(-0.806078\pi\) |
0.905614 | + | 0.424104i | \(0.139411\pi\) | |||||||
\(660\) | −15.4029 | − | 25.7382i | −0.599557 | − | 1.00186i | ||||
\(661\) | −21.7701 | + | 37.7070i | −0.846760 | + | 1.46663i | 0.0373246 | + | 0.999303i | \(0.488116\pi\) |
−0.884084 | + | 0.467328i | \(0.845217\pi\) | |||||||
\(662\) | −1.27865 | − | 4.77199i | −0.0496961 | − | 0.185468i | ||||
\(663\) | 9.70405 | + | 15.7468i | 0.376874 | + | 0.611556i | ||||
\(664\) | 2.39356 | + | 1.38192i | 0.0928883 | + | 0.0536291i | ||||
\(665\) | 14.0303 | − | 45.1782i | 0.544072 | − | 1.75194i | ||||
\(666\) | 12.7998 | + | 19.4953i | 0.495984 | + | 0.755429i | ||||
\(667\) | 31.2377 | − | 8.37012i | 1.20953 | − | 0.324092i | ||||
\(668\) | 6.65473 | + | 6.65473i | 0.257479 | + | 0.257479i | ||||
\(669\) | −10.6605 | + | 44.8998i | −0.412160 | + | 1.73593i | ||||
\(670\) | −0.288174 | + | 22.1476i | −0.0111331 | + | 0.855637i | ||||
\(671\) | 4.53662 | − | 2.61922i | 0.175134 | − | 0.101114i | ||||
\(672\) | 0.0851086 | + | 35.6804i | 0.00328314 | + | 1.37640i | ||||
\(673\) | −8.86074 | − | 33.0687i | −0.341556 | − | 1.27471i | −0.896584 | − | 0.442874i | \(-0.853959\pi\) |
0.555028 | − | 0.831832i | \(-0.312708\pi\) | |||||||
\(674\) | 15.2325 | − | 26.3834i | 0.586732 | − | 1.01625i | ||||
\(675\) | −1.55891 | − | 25.9340i | −0.0600023 | − | 0.998198i | ||||
\(676\) | −8.66082 | − | 15.0010i | −0.333108 | − | 0.576961i | ||||
\(677\) | 13.7533 | + | 3.68517i | 0.528581 | + | 0.141633i | 0.513233 | − | 0.858249i | \(-0.328448\pi\) |
0.0153479 | + | 0.999882i | \(0.495114\pi\) | |||||||
\(678\) | 52.4606 | − | 32.3291i | 2.01474 | − | 1.24159i | ||||
\(679\) | −24.0477 | + | 13.0530i | −0.922865 | + | 0.500930i | ||||
\(680\) | 10.8480 | − | 6.07633i | 0.416003 | − | 0.233016i | ||||
\(681\) | −25.4044 | + | 7.59445i | −0.973499 | + | 0.291020i | ||||
\(682\) | 33.1338 | + | 33.1338i | 1.26876 | + | 1.26876i | ||||
\(683\) | −8.82911 | + | 32.9507i | −0.337837 | + | 1.26082i | 0.562924 | + | 0.826508i | \(0.309676\pi\) |
−0.900761 | + | 0.434315i | \(0.856990\pi\) | |||||||
\(684\) | −28.1648 | + | 55.9684i | −1.07691 | + | 2.14001i | ||||
\(685\) | 13.3620 | + | 13.7143i | 0.510535 | + | 0.523996i | ||||
\(686\) | −35.9045 | + | 17.1095i | −1.37084 | + | 0.653244i | ||||
\(687\) | −22.6497 | + | 41.9661i | −0.864141 | + | 1.60111i | ||||
\(688\) | −6.06174 | + | 6.06174i | −0.231102 | + | 0.231102i | ||||
\(689\) | 8.19212 | − | 14.1892i | 0.312095 | − | 0.540564i | ||||
\(690\) | −28.8045 | + | 0.451573i | −1.09657 | + | 0.0171911i | ||||
\(691\) | 1.04431 | + | 1.80879i | 0.0397272 | + | 0.0688096i | 0.885205 | − | 0.465200i | \(-0.154018\pi\) |
−0.845478 | + | 0.534010i | \(0.820684\pi\) | |||||||
\(692\) | −1.59572 | + | 1.59572i | −0.0606602 | + | 0.0606602i | ||||
\(693\) | 16.1171 | − | 17.1512i | 0.612239 | − | 0.651519i | ||||
\(694\) | 56.5344i | 2.14602i | ||||||||
\(695\) | 8.55883 | + | 15.2801i | 0.324655 | + | 0.579606i | ||||
\(696\) | −20.6751 | − | 4.90888i | −0.783689 | − | 0.186071i | ||||
\(697\) | −10.3819 | + | 2.78182i | −0.393242 | + | 0.105369i | ||||
\(698\) | 6.06080 | + | 6.06080i | 0.229405 | + | 0.229405i | ||||
\(699\) | 0.484059 | + | 0.114930i | 0.0183088 | + | 0.00434704i | ||||
\(700\) | −32.8610 | − | 10.6758i | −1.24203 | − | 0.403509i | ||||
\(701\) | 35.7809i | 1.35143i | 0.737164 | + | 0.675713i | \(0.236164\pi\) | ||||
−0.737164 | + | 0.675713i | \(0.763836\pi\) | |||||||
\(702\) | −11.9315 | + | 25.5068i | −0.450325 | + | 0.962691i | ||||
\(703\) | −27.9598 | − | 7.49181i | −1.05452 | − | 0.282559i | ||||
\(704\) | −35.3366 | −1.33180 | ||||||||
\(705\) | 7.53934 | − | 7.77949i | 0.283948 | − | 0.292993i | ||||
\(706\) | 30.2338 | + | 52.3664i | 1.13786 | + | 1.97084i | ||||
\(707\) | 1.05147 | + | 4.38204i | 0.0395447 | + | 0.164804i | ||||
\(708\) | −59.7681 | + | 1.71502i | −2.24622 | + | 0.0644543i | ||||
\(709\) | 30.8120 | − | 17.7893i | 1.15717 | − | 0.668091i | 0.206544 | − | 0.978437i | \(-0.433778\pi\) |
0.950624 | + | 0.310346i | \(0.100445\pi\) | |||||||
\(710\) | −10.4468 | − | 2.94541i | −0.392061 | − | 0.110539i | ||||
\(711\) | −19.8417 | − | 9.98487i | −0.744122 | − | 0.374462i | ||||
\(712\) | 12.2320 | − | 3.27755i | 0.458413 | − | 0.122831i | ||||
\(713\) | 24.6188 | − | 6.59660i | 0.921983 | − | 0.247044i | ||||
\(714\) | 29.5187 | + | 29.3782i | 1.10471 | + | 1.09945i | ||||
\(715\) | 16.1040 | + | 4.54043i | 0.602256 | + | 0.169802i | ||||
\(716\) | − | 0.856454i | − | 0.0320072i | ||||||
\(717\) | −0.633879 | − | 22.0906i | −0.0236726 | − | 0.824988i | ||||
\(718\) | −37.8369 | + | 37.8369i | −1.41206 | + | 1.41206i | ||||
\(719\) | −21.6651 | + | 37.5251i | −0.807973 | + | 1.39945i | 0.106293 | + | 0.994335i | \(0.466102\pi\) |
−0.914266 | + | 0.405115i | \(0.867231\pi\) | |||||||
\(720\) | −14.2974 | − | 7.42948i | −0.532831 | − | 0.276880i | ||||
\(721\) | −6.06868 | + | 9.90048i | −0.226009 | + | 0.368713i | ||||
\(722\) | −24.9789 | − | 93.2225i | −0.929619 | − | 3.46938i | ||||
\(723\) | −25.0463 | − | 13.5178i | −0.931481 | − | 0.502734i | ||||
\(724\) | 43.4579 | + | 25.0904i | 1.61510 | + | 0.932478i | ||||
\(725\) | −24.3864 | + | 39.8092i | −0.905689 | + | 1.47848i | ||||
\(726\) | −5.97042 | − | 5.63734i | −0.221583 | − | 0.209221i | ||||
\(727\) | 36.8030 | − | 9.86132i | 1.36495 | − | 0.365736i | 0.499316 | − | 0.866420i | \(-0.333585\pi\) |
0.865630 | + | 0.500684i | \(0.166918\pi\) | |||||||
\(728\) | 6.03811 | + | 6.36439i | 0.223787 | + | 0.235880i | ||||
\(729\) | −26.6010 | + | 4.62433i | −0.985224 | + | 0.171271i | ||||
\(730\) | 5.86858 | − | 9.86598i | 0.217206 | − | 0.365156i | ||||
\(731\) | 15.1039i | 0.558637i | ||||||||
\(732\) | −3.79586 | + | 7.03309i | −0.140299 | + | 0.259950i | ||||
\(733\) | −0.913228 | + | 0.913228i | −0.0337309 | + | 0.0337309i | −0.723771 | − | 0.690040i | \(-0.757593\pi\) |
0.690040 | + | 0.723771i | \(0.257593\pi\) | |||||||
\(734\) | 5.75053 | + | 9.96020i | 0.212256 | + | 0.367638i | ||||
\(735\) | 1.00089 | − | 27.0924i | 0.0369184 | − | 0.999318i | ||||
\(736\) | −13.4841 | + | 23.3551i | −0.497030 | + | 0.860881i | ||||
\(737\) | −3.53991 | − | 13.2111i | −0.130394 | − | 0.486637i | ||||
\(738\) | −12.2148 | − | 10.8878i | −0.449632 | − | 0.400787i | ||||
\(739\) | −10.8854 | + | 6.28468i | −0.400426 | + | 0.231186i | −0.686668 | − | 0.726972i | \(-0.740927\pi\) |
0.286242 | + | 0.958157i | \(0.407594\pi\) | |||||||
\(740\) | −5.73706 | + | 20.3483i | −0.210899 | + | 0.748017i | ||||
\(741\) | −10.0105 | − | 33.4863i | −0.367743 | − | 1.23015i | ||||
\(742\) | 10.4816 | − | 35.3696i | 0.384793 | − | 1.29846i | ||||
\(743\) | 2.61363 | − | 9.75419i | 0.0958846 | − | 0.357846i | −0.901267 | − | 0.433263i | \(-0.857362\pi\) |
0.997152 | + | 0.0754168i | \(0.0240287\pi\) | |||||||
\(744\) | −16.2943 | − | 3.86875i | −0.597379 | − | 0.141835i | ||||
\(745\) | 0.148572 | − | 11.4185i | 0.00544325 | − | 0.418342i | ||||
\(746\) | −64.4076 | + | 37.1858i | −2.35813 | + | 1.36147i | ||||
\(747\) | −4.71052 | − | 4.19880i | −0.172349 | − | 0.153626i | ||||
\(748\) | −23.1751 | + | 23.1751i | −0.847365 | + | 0.847365i | ||||
\(749\) | −3.31013 | − | 6.09826i | −0.120949 | − | 0.222826i | ||||
\(750\) | 29.7088 | − | 29.1004i | 1.08481 | − | 1.06260i | ||||
\(751\) | −25.8166 | −0.942060 | −0.471030 | − | 0.882117i | \(-0.656118\pi\) | ||||
−0.471030 | + | 0.882117i | \(0.656118\pi\) | |||||||
\(752\) | −1.73888 | − | 6.48960i | −0.0634105 | − | 0.236651i | ||||
\(753\) | 15.4536 | − | 28.6330i | 0.563161 | − | 1.04344i | ||||
\(754\) | 43.8206 | − | 25.2999i | 1.59585 | − | 0.921366i | ||||
\(755\) | −0.185574 | + | 14.2623i | −0.00675375 | + | 0.519059i | ||||
\(756\) | −7.20545 | + | 35.1768i | −0.262060 | + | 1.27937i | ||||
\(757\) | 5.65275 | + | 5.65275i | 0.205453 | + | 0.205453i | 0.802331 | − | 0.596879i | \(-0.203593\pi\) |
−0.596879 | + | 0.802331i | \(0.703593\pi\) | |||||||
\(758\) | 12.7185 | − | 47.4662i | 0.461958 | − | 1.72405i | ||||
\(759\) | 17.0435 | − | 5.09502i | 0.618639 | − | 0.184937i | ||||
\(760\) | −22.7710 | + | 5.78503i | −0.825992 | + | 0.209845i | ||||
\(761\) | 17.3189i | 0.627811i | 0.949454 | + | 0.313905i | \(0.101637\pi\) | ||||
−0.949454 | + | 0.313905i | \(0.898363\pi\) | |||||||
\(762\) | 1.05238 | + | 36.6754i | 0.0381239 | + | 1.32861i | ||||
\(763\) | −8.25087 | + | 7.82788i | −0.298702 | + | 0.283388i | ||||
\(764\) | −8.34666 | −0.301971 | ||||||||
\(765\) | −27.0681 | + | 8.55624i | −0.978648 | + | 0.309351i | ||||
\(766\) | −8.77449 | − | 15.1979i | −0.317035 | − | 0.549121i | ||||
\(767\) | 23.5845 | − | 23.5845i | 0.851587 | − | 0.851587i | ||||
\(768\) | −3.41508 | + | 2.10455i | −0.123231 | + | 0.0759416i | ||||
\(769\) | −37.5805 | + | 21.6971i | −1.35519 | + | 0.782419i | −0.988971 | − | 0.148110i | \(-0.952681\pi\) |
−0.366218 | + | 0.930529i | \(0.619348\pi\) | |||||||
\(770\) | 37.6436 | + | 1.48061i | 1.35658 | + | 0.0533576i | ||||
\(771\) | 9.47731 | − | 2.83317i | 0.341317 | − | 0.102034i | ||||
\(772\) | 8.19744 | − | 30.5933i | 0.295032 | − | 1.10108i | ||||
\(773\) | −6.10325 | + | 22.7776i | −0.219519 | + | 0.819255i | 0.765008 | + | 0.644021i | \(0.222735\pi\) |
−0.984527 | + | 0.175234i | \(0.943932\pi\) | |||||||
\(774\) | −19.2214 | + | 12.6200i | −0.690900 | + | 0.453617i | ||||
\(775\) | −19.2193 | + | 31.3741i | −0.690376 | + | 1.12699i | ||||
\(776\) | 11.7684 | + | 6.79450i | 0.422462 | + | 0.243908i | ||||
\(777\) | −16.5886 | + | 0.0395689i | −0.595114 | + | 0.00141953i | ||||
\(778\) | 46.6822 | + | 12.5085i | 1.67364 | + | 0.448450i | ||||
\(779\) | 20.3091 | 0.727648 | ||||||||
\(780\) | −24.5506 | + | 6.99258i | −0.879053 | + | 0.250374i | ||||
\(781\) | 6.70231 | 0.239827 | ||||||||
\(782\) | 8.14696 | + | 30.4049i | 0.291335 | + | 1.08728i | ||||
\(783\) | 43.9459 | + | 20.5569i | 1.57050 | + | 0.734643i | ||||
\(784\) | −14.0986 | − | 9.16062i | −0.503522 | − | 0.327165i | ||||
\(785\) | −4.55812 | − | 17.9417i | −0.162686 | − | 0.640367i | ||||
\(786\) | 1.12345 | − | 1.18983i | 0.0400721 | − | 0.0424397i | ||||
\(787\) | 42.2283 | − | 11.3150i | 1.50528 | − | 0.403338i | 0.590413 | − | 0.807101i | \(-0.298965\pi\) |
0.914863 | + | 0.403763i | \(0.132298\pi\) | |||||||
\(788\) | 69.5636 | − | 18.6395i | 2.47810 | − | 0.664005i | ||||
\(789\) | −4.35157 | − | 14.5566i | −0.154920 | − | 0.518227i | ||||
\(790\) | −8.75464 | − | 34.4600i | −0.311476 | − | 1.22603i | ||||
\(791\) | −1.15270 | + | 43.8164i | −0.0409852 | + | 1.55793i | ||||
\(792\) | −11.4453 | − | 2.37287i | −0.406692 | − | 0.0843163i | ||||
\(793\) | −1.15385 | − | 4.30622i | −0.0409743 | − | 0.152918i | ||||
\(794\) | 63.8326 | 2.26533 | ||||||||
\(795\) | 18.0574 | + | 17.4999i | 0.640429 | + | 0.620659i | ||||
\(796\) | −8.64591 | −0.306446 | ||||||||
\(797\) | 36.5268 | + | 9.78731i | 1.29384 | + | 0.346684i | 0.839119 | − | 0.543948i | \(-0.183071\pi\) |
0.454725 | + | 0.890632i | \(0.349738\pi\) | |||||||
\(798\) | −39.5090 | − | 68.0561i | −1.39860 | − | 2.40916i | ||||
\(799\) | −10.2513 | − | 5.91861i | −0.362666 | − | 0.209385i | ||||
\(800\) | −9.09416 | − | 37.8535i | −0.321527 | − | 1.33832i | ||||
\(801\) | −28.8648 | + | 1.65789i | −1.01989 | + | 0.0585786i | ||||
\(802\) | −7.10096 | + | 26.5012i | −0.250744 | + | 0.935788i | ||||
\(803\) | −1.83463 | + | 6.84694i | −0.0647428 | + | 0.241623i | ||||
\(804\) | 15.1720 | + | 14.3256i | 0.535077 | + | 0.505226i | ||||
\(805\) | 10.9350 | − | 17.3294i | 0.385410 | − | 0.610781i | ||||
\(806\) | 34.5356 | − | 19.9391i | 1.21646 | − | 0.702326i | ||||
\(807\) | 0.505957 | + | 17.6325i | 0.0178105 | + | 0.620694i | ||||
\(808\) | 1.58256 | − | 1.58256i | 0.0556741 | − | 0.0556741i | ||||
\(809\) | 19.0484 | + | 32.9928i | 0.669707 | + | 1.15997i | 0.977986 | + | 0.208671i | \(0.0669136\pi\) |
−0.308279 | + | 0.951296i | \(0.599753\pi\) | |||||||
\(810\) | −33.5055 | − | 27.2981i | −1.17726 | − | 0.959158i | ||||
\(811\) | −20.0815 | −0.705157 | −0.352578 | − | 0.935782i | \(-0.614695\pi\) | ||||
−0.352578 | + | 0.935782i | \(0.614695\pi\) | |||||||
\(812\) | 46.8076 | − | 44.4080i | 1.64263 | − | 1.55842i | ||||
\(813\) | −34.0807 | + | 21.0024i | −1.19526 | + | 0.736585i | ||||
\(814\) | − | 23.0513i | − | 0.807946i | ||||||
\(815\) | −1.24168 | + | 0.315451i | −0.0434941 | + | 0.0110498i | ||||
\(816\) | −4.06699 | + | 17.1293i | −0.142373 | + | 0.599645i | ||||
\(817\) | 7.38655 | − | 27.5670i | 0.258423 | − | 0.964446i | ||||
\(818\) | −41.7514 | − | 41.7514i | −1.45980 | − | 1.45980i | ||||
\(819\) | −10.5489 | − | 17.0267i | −0.368609 | − | 0.594962i | ||||
\(820\) | 0.192987 | − | 14.8320i | 0.00673939 | − | 0.517956i | ||||
\(821\) | −25.8566 | + | 14.9283i | −0.902401 | + | 0.521002i | −0.877978 | − | 0.478700i | \(-0.841108\pi\) |
−0.0244228 | + | 0.999702i | \(0.507775\pi\) | |||||||
\(822\) | 31.8380 | − | 0.913575i | 1.11048 | − | 0.0318646i | ||||
\(823\) | −9.24059 | − | 34.4863i | −0.322107 | − | 1.20212i | −0.917189 | − | 0.398453i | \(-0.869547\pi\) |
0.595082 | − | 0.803665i | \(-0.297120\pi\) | |||||||
\(824\) | 5.76720 | 0.200910 | ||||||||
\(825\) | −12.7804 | + | 22.2732i | −0.444956 | + | 0.775452i | ||||
\(826\) | 39.2460 | − | 64.0262i | 1.36554 | − | 2.22776i | ||||
\(827\) | 20.7002 | − | 20.7002i | 0.719817 | − | 0.719817i | −0.248750 | − | 0.968568i | \(-0.580020\pi\) |
0.968568 | + | 0.248750i | \(0.0800199\pi\) | |||||||
\(828\) | −18.0585 | + | 20.2593i | −0.627577 | + | 0.704061i | ||||
\(829\) | 21.2126 | − | 12.2471i | 0.736745 | − | 0.425360i | −0.0841397 | − | 0.996454i | \(-0.526814\pi\) |
0.820885 | + | 0.571094i | \(0.193481\pi\) | |||||||
\(830\) | 0.131413 | − | 10.0997i | 0.00456140 | − | 0.350567i | ||||
\(831\) | 5.28045 | + | 17.6638i | 0.183177 | + | 0.612750i | ||||
\(832\) | −7.78342 | + | 29.0481i | −0.269842 | + | 1.00706i | ||||
\(833\) | −28.9772 | + | 6.15194i | −1.00400 | + | 0.213152i | ||||
\(834\) | 28.3456 | + | 6.73008i | 0.981528 | + | 0.233043i | ||||
\(835\) | 2.18642 | − | 7.75481i | 0.0756641 | − | 0.268366i | ||||
\(836\) | 53.6320 | − | 30.9644i | 1.85490 | − | 1.07093i | ||||
\(837\) | 34.6343 | + | 16.2011i | 1.19714 | + | 0.559993i | ||||
\(838\) | 1.73572 | + | 6.47781i | 0.0599596 | + | 0.223772i | ||||
\(839\) | −2.11527 | + | 3.66375i | −0.0730271 | + | 0.126487i | −0.900227 | − | 0.435422i | \(-0.856599\pi\) |
0.827200 | + | 0.561908i | \(0.189933\pi\) | |||||||
\(840\) | −11.7313 | + | 6.60790i | −0.404770 | + | 0.227994i | ||||
\(841\) | −29.0894 | − | 50.3843i | −1.00308 | − | 1.73739i | ||||
\(842\) | −49.6122 | + | 49.6122i | −1.70975 | + | 1.70975i | ||||
\(843\) | 9.42283 | + | 15.2905i | 0.324540 | + | 0.526633i | ||||
\(844\) | − | 24.0732i | − | 0.828633i | ||||||
\(845\) | −7.58116 | + | 12.7451i | −0.260800 | + | 0.438444i | ||||
\(846\) | −1.03335 | − | 17.9913i | −0.0355275 | − | 0.618554i | ||||
\(847\) | 5.67945 | − | 1.36279i | 0.195148 | − | 0.0468259i | ||||
\(848\) | 15.0633 | − | 4.03621i | 0.517277 | − | 0.138604i | ||||
\(849\) | 1.47677 | − | 6.21983i | 0.0506826 | − | 0.213464i | ||||
\(850\) | −38.7478 | − | 23.7363i | −1.32904 | − | 0.814147i | ||||
\(851\) | −10.8583 | − | 6.26905i | −0.372218 | − | 0.214900i | ||||
\(852\) | −8.70517 | + | 5.36460i | −0.298234 | + | 0.183788i | ||||
\(853\) | 1.04791 | + | 3.91085i | 0.0358797 | + | 0.133905i | 0.981543 | − | 0.191244i | \(-0.0612522\pi\) |
−0.945663 | + | 0.325149i | \(0.894586\pi\) | |||||||
\(854\) | −4.78851 | − | 8.82189i | −0.163859 | − | 0.301879i | ||||
\(855\) | 53.5880 | − | 2.37886i | 1.83267 | − | 0.0813552i | ||||
\(856\) | −1.72302 | + | 2.98436i | −0.0588917 | + | 0.102003i | ||||
\(857\) | −19.2907 | + | 19.2907i | −0.658957 | + | 0.658957i | −0.955133 | − | 0.296176i | \(-0.904288\pi\) |
0.296176 | + | 0.955133i | \(0.404288\pi\) | |||||||
\(858\) | 23.6949 | − | 14.6021i | 0.808930 | − | 0.498507i | ||||
\(859\) | − | 41.5845i | − | 1.41885i | −0.704783 | − | 0.709423i | \(-0.748956\pi\) | ||
0.704783 | − | 0.709423i | \(-0.251044\pi\) | |||||||
\(860\) | −20.0624 | − | 5.65646i | −0.684121 | − | 0.192884i | ||||
\(861\) | 11.2351 | − | 3.03917i | 0.382890 | − | 0.103575i | ||||
\(862\) | −83.0631 | + | 22.2567i | −2.82914 | + | 0.758065i | ||||
\(863\) | −2.78300 | + | 0.745703i | −0.0947345 | + | 0.0253840i | −0.305875 | − | 0.952072i | \(-0.598949\pi\) |
0.211140 | + | 0.977456i | \(0.432282\pi\) | |||||||
\(864\) | −38.0346 | + | 13.7915i | −1.29396 | + | 0.469197i | ||||
\(865\) | 1.85950 | + | 0.524276i | 0.0632251 | + | 0.0178259i | ||||
\(866\) | −37.7555 | + | 21.7982i | −1.28299 | + | 0.740732i | ||||
\(867\) | 0.825681 | + | 1.33984i | 0.0280416 | + | 0.0455033i | ||||
\(868\) | 36.8897 | − | 34.9985i | 1.25212 | − | 1.18793i | ||||
\(869\) | 10.9774 | + | 19.0134i | 0.372382 | + | 0.644985i | ||||
\(870\) | 21.2729 | + | 74.6881i | 0.721218 | + | 2.53216i | ||||
\(871\) | −11.6398 | −0.394399 | ||||||||
\(872\) | 5.45599 | + | 1.46193i | 0.184763 | + | 0.0495071i | ||||
\(873\) | −23.1602 | − | 20.6442i | −0.783854 | − | 0.698701i | ||||
\(874\) | − | 59.4780i | − | 2.01187i | ||||||
\(875\) | 5.77422 | + | 29.0113i | 0.195204 | + | 0.980763i | ||||
\(876\) | −3.09748 | − | 10.3615i | −0.104654 | − | 0.350082i | ||||
\(877\) | 11.5186 | + | 11.5186i | 0.388954 | + | 0.388954i | 0.874314 | − | 0.485360i | \(-0.161312\pi\) |
−0.485360 | + | 0.874314i | \(0.661312\pi\) | |||||||
\(878\) | 45.5288 | − | 12.1994i | 1.53652 | − | 0.411710i | ||||
\(879\) | −14.1575 | + | 14.9939i | −0.477519 | + | 0.505733i | ||||
\(880\) | 7.78268 | + | 13.8944i | 0.262354 | + | 0.468380i | ||||
\(881\) | 10.6749i | 0.359646i | 0.983699 | + | 0.179823i | \(0.0575525\pi\) | ||||
−0.983699 | + | 0.179823i | \(0.942448\pi\) | |||||||
\(882\) | −32.0409 | − | 31.7366i | −1.07887 | − | 1.06863i | ||||
\(883\) | −13.9975 | + | 13.9975i | −0.471053 | + | 0.471053i | −0.902255 | − | 0.431202i | \(-0.858090\pi\) |
0.431202 | + | 0.902255i | \(0.358090\pi\) | |||||||
\(884\) | 13.9462 | + | 24.1555i | 0.469062 | + | 0.812438i | ||||
\(885\) | 26.2866 | + | 43.9250i | 0.883616 | + | 1.47652i | ||||
\(886\) | 21.7368 | − | 37.6492i | 0.730261 | − | 1.26485i | ||||
\(887\) | 26.1911 | − | 26.1911i | 0.879411 | − | 0.879411i | −0.114063 | − | 0.993474i | \(-0.536386\pi\) |
0.993474 | + | 0.114063i | \(0.0363864\pi\) | |||||||
\(888\) | 4.32225 | + | 7.01375i | 0.145045 | + | 0.235366i | ||||
\(889\) | −22.2504 | − | 13.6388i | −0.746254 | − | 0.457430i | ||||
\(890\) | −32.2958 | − | 33.1473i | −1.08256 | − | 1.11110i | ||||
\(891\) | 24.4872 | + | 10.6095i | 0.820354 | + | 0.355432i | ||||
\(892\) | −18.0110 | + | 67.2181i | −0.603054 | + | 2.25063i | ||||
\(893\) | 15.8158 | + | 15.8158i | 0.529256 | + | 0.529256i | ||||
\(894\) | −13.8119 | − | 13.0413i | −0.461938 | − | 0.436167i | ||||
\(895\) | −0.639710 | + | 0.358321i | −0.0213832 | + | 0.0119774i | ||||
\(896\) | −0.697178 | + | 26.5012i | −0.0232911 | + | 0.885342i | ||||
\(897\) | −0.434226 | − | 15.1327i | −0.0144984 | − | 0.505266i | ||||
\(898\) | 25.1446 | + | 6.73747i | 0.839086 | + | 0.224832i | ||||
\(899\) | −34.3533 | − | 59.5017i | −1.14575 | − | 1.98449i | ||||
\(900\) | −1.22810 | − | 39.1587i | −0.0409365 | − | 1.30529i | ||||
\(901\) | 13.7380 | − | 23.7949i | 0.457679 | − | 0.792723i | ||||
\(902\) | 4.18592 | + | 15.6221i | 0.139376 | + | 0.520157i | ||||
\(903\) | −0.0390130 | − | 16.3556i | −0.00129827 | − | 0.544279i | ||||
\(904\) | 18.8521 | − | 10.8843i | 0.627011 | − | 0.362005i | ||||
\(905\) | 0.558938 | − | 42.9572i | 0.0185797 | − | 1.42795i | ||||
\(906\) | 17.2518 | + | 16.2893i | 0.573152 | + | 0.541177i | ||||
\(907\) | 17.8621 | + | 17.8621i | 0.593103 | + | 0.593103i | 0.938468 | − | 0.345366i | \(-0.112245\pi\) |
−0.345366 | + | 0.938468i | \(0.612245\pi\) | |||||||
\(908\) | −38.6215 | + | 10.3486i | −1.28170 | + | 0.343430i | ||||
\(909\) | −4.27144 | + | 2.80445i | −0.141675 | + | 0.0930177i | ||||
\(910\) | 9.50870 | − | 30.6185i | 0.315210 | − | 1.01499i | ||||
\(911\) | 26.8259 | + | 15.4879i | 0.888782 | + | 0.513138i | 0.873544 | − | 0.486746i | \(-0.161816\pi\) |
0.0152379 | + | 0.999884i | \(0.495149\pi\) | |||||||
\(912\) | 15.8000 | − | 29.2747i | 0.523190 | − | 0.969382i | ||||
\(913\) | 1.61426 | + | 6.02451i | 0.0534243 | + | 0.199382i | ||||
\(914\) | −31.2301 | + | 54.0921i | −1.03300 | + | 1.78921i | ||||
\(915\) | 6.84132 | − | 0.107252i | 0.226167 | − | 0.00354566i | ||||
\(916\) | −35.9559 | + | 62.2775i | −1.18802 | + | 2.05771i | ||||
\(917\) | 0.271586 | + | 1.13184i | 0.00896855 | + | 0.0373767i | ||||
\(918\) | −20.0088 | + | 42.7742i | −0.660390 | + | 1.41176i | ||||
\(919\) | −20.1623 | − | 11.6407i | −0.665095 | − | 0.383993i | 0.129121 | − | 0.991629i | \(-0.458784\pi\) |
−0.794215 | + | 0.607636i | \(0.792118\pi\) | |||||||
\(920\) | −10.1758 | − | 0.132403i | −0.335487 | − | 0.00436519i | ||||
\(921\) | 14.7049 | + | 49.1897i | 0.484542 | + | 1.62085i | ||||
\(922\) | 45.4165 | + | 45.4165i | 1.49571 | + | 1.49571i | ||||
\(923\) | 1.47629 | − | 5.50958i | 0.0485926 | − | 0.181350i | ||||
\(924\) | 25.0358 | − | 25.1555i | 0.823616 | − | 0.827555i | ||||
\(925\) | 17.5990 | − | 4.22808i | 0.578650 | − | 0.139019i | ||||
\(926\) | 20.1680 | + | 11.6440i | 0.662762 | + | 0.382646i | ||||
\(927\) | −12.8931 | − | 2.67302i | −0.423464 | − | 0.0877935i | ||||
\(928\) | 70.2215 | + | 18.8158i | 2.30514 | + | 0.617659i | ||||
\(929\) | 11.2977 | + | 19.5682i | 0.370666 | + | 0.642012i | 0.989668 | − | 0.143377i | \(-0.0457961\pi\) |
−0.619002 | + | 0.785389i | \(0.712463\pi\) | |||||||
\(930\) | 16.7654 | + | 58.8626i | 0.549760 | + | 1.93018i | ||||
\(931\) | 55.8966 | + | 2.94303i | 1.83194 | + | 0.0964538i | ||||
\(932\) | 0.724670 | + | 0.194175i | 0.0237374 | + | 0.00636041i | ||||
\(933\) | −5.45669 | − | 8.85460i | −0.178644 | − | 0.289887i | ||||
\(934\) | − | 9.30126i | − | 0.304347i | ||||||
\(935\) | 27.0061 | + | 7.61419i | 0.883193 | + | 0.249011i | ||||
\(936\) | −4.47161 | + | 8.88587i | −0.146159 | + | 0.290444i | ||||
\(937\) | −12.8571 | − | 12.8571i | −0.420025 | − | 0.420025i | 0.465187 | − | 0.885212i | \(-0.345987\pi\) |
−0.885212 | + | 0.465187i | \(0.845987\pi\) | |||||||
\(938\) | −25.4843 | + | 6.11496i | −0.832091 | + | 0.199660i | ||||
\(939\) | −2.15883 | − | 2.03839i | −0.0704507 | − | 0.0665204i | ||||
\(940\) | 11.7008 | − | 11.4002i | 0.381638 | − | 0.371835i | ||||
\(941\) | 23.9490 | + | 13.8270i | 0.780715 | + | 0.450746i | 0.836683 | − | 0.547687i | \(-0.184491\pi\) |
−0.0559689 | + | 0.998433i | \(0.517825\pi\) | |||||||
\(942\) | −27.0986 | − | 14.6255i | −0.882920 | − | 0.476525i | ||||
\(943\) | 8.49719 | + | 2.27682i | 0.276707 | + | 0.0741433i | ||||
\(944\) | 31.7463 | 1.03325 | ||||||||
\(945\) | 29.2891 | − | 9.33522i | 0.952776 | − | 0.303675i | ||||
\(946\) | 22.7274 | 0.738931 | ||||||||
\(947\) | 25.6271 | + | 6.86677i | 0.832769 | + | 0.223140i | 0.649922 | − | 0.760001i | \(-0.274802\pi\) |
0.182848 | + | 0.983141i | \(0.441468\pi\) | |||||||
\(948\) | −29.4763 | − | 15.9088i | −0.957345 | − | 0.516693i | ||||
\(949\) | 5.22436 | + | 3.01629i | 0.169590 | + | 0.0979128i | ||||
\(950\) | 59.1128 | + | 62.2721i | 1.91787 | + | 2.02037i | ||||
\(951\) | 33.5246 | + | 31.6543i | 1.08711 | + | 1.02646i | ||||
\(952\) | 10.1258 | + | 10.6729i | 0.328178 | + | 0.345912i | ||||
\(953\) | −25.2969 | − | 25.2969i | −0.819447 | − | 0.819447i | 0.166581 | − | 0.986028i | \(-0.446727\pi\) |
−0.986028 | + | 0.166581i | \(0.946727\pi\) | |||||||
\(954\) | 41.7605 | − | 2.39857i | 1.35205 | − | 0.0776566i | ||||
\(955\) | 3.49206 | + | 6.23436i | 0.113000 | + | 0.201739i | ||||
\(956\) | − | 33.3254i | − | 1.07782i | ||||||
\(957\) | −25.1581 | − | 40.8242i | −0.813245 | − | 1.31966i | ||||
\(958\) | −19.9057 | − | 5.33372i | −0.643124 | − | 0.172325i | ||||
\(959\) | −11.8398 | + | 19.3156i | −0.382328 | + | 0.623733i | ||||
\(960\) | −40.3279 | − | 22.4479i | −1.30158 | − | 0.724504i | ||||
\(961\) | −11.5743 | − | 20.0473i | −0.373365 | − | 0.646686i | ||||
\(962\) | −18.9491 | − | 5.07739i | −0.610943 | − | 0.163702i | ||||
\(963\) | 5.23518 | − | 5.87320i | 0.168701 | − | 0.189261i | ||||
\(964\) | −37.1685 | − | 21.4593i | −1.19712 | − | 0.691157i | ||||
\(965\) | −26.2806 | + | 6.67664i | −0.846003 | + | 0.214929i | ||||
\(966\) | −8.90065 | − | 32.9035i | −0.286374 | − | 1.05865i | ||||
\(967\) | 0.374816 | − | 1.39883i | 0.0120533 | − | 0.0449834i | −0.959637 | − | 0.281241i | \(-0.909254\pi\) |
0.971691 | + | 0.236257i | \(0.0759208\pi\) | |||||||
\(968\) | −2.05111 | − | 2.05111i | −0.0659252 | − | 0.0659252i | ||||
\(969\) | −16.7873 | − | 56.1556i | −0.539286 | − | 1.80398i | ||||
\(970\) | 0.646117 | − | 49.6573i | 0.0207456 | − | 1.59440i | ||||
\(971\) | 43.1850 | + | 24.9329i | 1.38587 | + | 0.800134i | 0.992847 | − | 0.119394i | \(-0.0380951\pi\) |
0.393025 | + | 0.919528i | \(0.371428\pi\) | |||||||
\(972\) | −40.2968 | + | 5.81986i | −1.29252 | + | 0.186672i | ||||
\(973\) | −15.0334 | + | 14.2627i | −0.481948 | + | 0.457241i | ||||
\(974\) | −23.1287 | + | 40.0601i | −0.741092 | + | 1.28361i | ||||
\(975\) | 15.4944 | + | 15.4120i | 0.496218 | + | 0.493580i | ||||
\(976\) | 2.12165 | − | 3.67480i | 0.0679123 | − | 0.117628i | ||||
\(977\) | −3.84215 | − | 14.3391i | −0.122921 | − | 0.458748i | 0.876836 | − | 0.480790i | \(-0.159650\pi\) |
−0.999757 | + | 0.0220418i | \(0.992983\pi\) | |||||||
\(978\) | −1.01218 | + | 1.87539i | −0.0323659 | + | 0.0599685i | ||||
\(979\) | 24.7484 | + | 14.2885i | 0.790963 | + | 0.456663i | ||||
\(980\) | 2.68049 | − | 40.7941i | 0.0856252 | − | 1.30312i | ||||
\(981\) | −11.5198 | − | 5.79705i | −0.367797 | − | 0.185085i | ||||
\(982\) | −64.3599 | + | 17.2452i | −2.05381 | + | 0.550316i | ||||
\(983\) | −0.710657 | − | 0.710657i | −0.0226664 | − | 0.0226664i | 0.695683 | − | 0.718349i | \(-0.255102\pi\) |
−0.718349 | + | 0.695683i | \(0.755102\pi\) | |||||||
\(984\) | −4.20287 | − | 3.96840i | −0.133983 | − | 0.126508i | ||||
\(985\) | −43.0263 | − | 44.1607i | −1.37093 | − | 1.40708i | ||||
\(986\) | 73.4862 | − | 42.4273i | 2.34028 | − | 1.35116i | ||||
\(987\) | 11.1162 | + | 6.38262i | 0.353832 | + | 0.203161i | ||||
\(988\) | −13.6408 | − | 50.9081i | −0.433971 | − | 1.61960i | ||||
\(989\) | 6.18097 | − | 10.7058i | 0.196544 | − | 0.340423i | ||||
\(990\) | 12.8749 | + | 40.7304i | 0.409191 | + | 1.29450i | ||||
\(991\) | −28.2962 | − | 49.0104i | −0.898857 | − | 1.55687i | −0.828957 | − | 0.559312i | \(-0.811065\pi\) |
−0.0699000 | − | 0.997554i | \(-0.522268\pi\) | |||||||
\(992\) | 55.3425 | + | 14.8290i | 1.75713 | + | 0.470820i | ||||
\(993\) | 0.114287 | + | 3.98290i | 0.00362680 | + | 0.126393i | ||||
\(994\) | 0.337742 | − | 12.8383i | 0.0107125 | − | 0.407205i | ||||
\(995\) | 3.61726 | + | 6.45788i | 0.114675 | + | 0.204729i | ||||
\(996\) | −6.91874 | − | 6.53275i | −0.219229 | − | 0.206998i | ||||
\(997\) | 28.7255 | + | 28.7255i | 0.909744 | + | 0.909744i | 0.996251 | − | 0.0865070i | \(-0.0275705\pi\) |
−0.0865070 | + | 0.996251i | \(0.527571\pi\) | |||||||
\(998\) | 4.84049 | − | 18.0649i | 0.153223 | − | 0.571836i | ||||
\(999\) | −6.41200 | − | 17.6832i | −0.202867 | − | 0.559471i |
(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 | 315.2.bx.a.2.7 | yes | 176 | |
3.2 | odd | 2 | 945.2.ca.a.737.38 | 176 | |||
5.3 | odd | 4 | inner | 315.2.bx.a.128.7 | yes | 176 | |
7.4 | even | 3 | 315.2.bv.a.137.38 | yes | 176 | ||
9.4 | even | 3 | 945.2.by.a.422.38 | 176 | |||
9.5 | odd | 6 | 315.2.bv.a.212.7 | yes | 176 | ||
15.8 | even | 4 | 945.2.ca.a.548.38 | 176 | |||
21.11 | odd | 6 | 945.2.by.a.872.7 | 176 | |||
35.18 | odd | 12 | 315.2.bv.a.263.7 | yes | 176 | ||
45.13 | odd | 12 | 945.2.by.a.233.7 | 176 | |||
45.23 | even | 12 | 315.2.bv.a.23.38 | ✓ | 176 | ||
63.4 | even | 3 | 945.2.ca.a.557.38 | 176 | |||
63.32 | odd | 6 | inner | 315.2.bx.a.32.7 | yes | 176 | |
105.53 | even | 12 | 945.2.by.a.683.38 | 176 | |||
315.158 | even | 12 | inner | 315.2.bx.a.158.7 | yes | 176 | |
315.193 | odd | 12 | 945.2.ca.a.368.38 | 176 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
315.2.bv.a.23.38 | ✓ | 176 | 45.23 | even | 12 | ||
315.2.bv.a.137.38 | yes | 176 | 7.4 | even | 3 | ||
315.2.bv.a.212.7 | yes | 176 | 9.5 | odd | 6 | ||
315.2.bv.a.263.7 | yes | 176 | 35.18 | odd | 12 | ||
315.2.bx.a.2.7 | yes | 176 | 1.1 | even | 1 | trivial | |
315.2.bx.a.32.7 | yes | 176 | 63.32 | odd | 6 | inner | |
315.2.bx.a.128.7 | yes | 176 | 5.3 | odd | 4 | inner | |
315.2.bx.a.158.7 | yes | 176 | 315.158 | even | 12 | inner | |
945.2.by.a.233.7 | 176 | 45.13 | odd | 12 | |||
945.2.by.a.422.38 | 176 | 9.4 | even | 3 | |||
945.2.by.a.683.38 | 176 | 105.53 | even | 12 | |||
945.2.by.a.872.7 | 176 | 21.11 | odd | 6 | |||
945.2.ca.a.368.38 | 176 | 315.193 | odd | 12 | |||
945.2.ca.a.548.38 | 176 | 15.8 | even | 4 | |||
945.2.ca.a.557.38 | 176 | 63.4 | even | 3 | |||
945.2.ca.a.737.38 | 176 | 3.2 | odd | 2 |