Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [429,2,Mod(17,429)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(429, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 27, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("429.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 429 = 3 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 429.bm (of order \(30\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.42558224671\) |
Analytic rank: | \(0\) |
Dimension: | \(416\) |
Relative dimension: | \(52\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 17.6 | ||
Character | \(\chi\) | \(=\) | 429.17 |
Dual form | 429.2.bm.a.101.6 |
$q$-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 \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) | \(287\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{9}{10}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.516841 | + | 2.43155i | −0.365462 | + | 1.71936i | 0.283875 | + | 0.958861i | \(0.408380\pi\) |
−0.649337 | + | 0.760501i | \(0.724953\pi\) | |||||||
\(3\) | −1.38291 | − | 1.04286i | −0.798424 | − | 0.602096i | ||||
\(4\) | −3.81820 | − | 1.69997i | −1.90910 | − | 0.849986i | ||||
\(5\) | 0.603851 | − | 1.85846i | 0.270050 | − | 0.831129i | −0.720437 | − | 0.693521i | \(-0.756059\pi\) |
0.990487 | − | 0.137608i | \(-0.0439415\pi\) | |||||||
\(6\) | 3.25051 | − | 2.82362i | 1.32701 | − | 1.15274i | ||||
\(7\) | −1.58507 | − | 0.705718i | −0.599099 | − | 0.266736i | 0.0846998 | − | 0.996407i | \(-0.473007\pi\) |
−0.683799 | + | 0.729670i | \(0.739674\pi\) | |||||||
\(8\) | 3.18465 | − | 4.38329i | 1.12594 | − | 1.54973i | ||||
\(9\) | 0.824883 | + | 2.88437i | 0.274961 | + | 0.961455i | ||||
\(10\) | 4.20684 | + | 2.42882i | 1.33032 | + | 0.768060i | ||||
\(11\) | 2.76944 | + | 1.82488i | 0.835019 | + | 0.550221i | ||||
\(12\) | 3.50739 | + | 6.33276i | 1.01250 | + | 1.82811i | ||||
\(13\) | −2.55403 | + | 2.54499i | −0.708359 | + | 0.705852i | ||||
\(14\) | 2.53521 | − | 3.48942i | 0.677564 | − | 0.932587i | ||||
\(15\) | −2.77319 | + | 1.94035i | −0.716034 | + | 0.500997i | ||||
\(16\) | 3.41890 | + | 3.79707i | 0.854725 | + | 0.949268i | ||||
\(17\) | 2.71534 | − | 0.577164i | 0.658568 | − | 0.139983i | 0.133507 | − | 0.991048i | \(-0.457376\pi\) |
0.525060 | + | 0.851065i | \(0.324043\pi\) | |||||||
\(18\) | −7.43980 | + | 0.514981i | −1.75358 | + | 0.121382i | ||||
\(19\) | −0.848912 | + | 8.07686i | −0.194754 | + | 1.85296i | 0.264161 | + | 0.964479i | \(0.414905\pi\) |
−0.458915 | + | 0.888480i | \(0.651762\pi\) | |||||||
\(20\) | −5.46495 | + | 6.06945i | −1.22200 | + | 1.35717i | ||||
\(21\) | 1.45604 | + | 2.62895i | 0.317734 | + | 0.573684i | ||||
\(22\) | −5.86864 | + | 5.79086i | −1.25120 | + | 1.23462i | ||||
\(23\) | −1.08279 | − | 0.625148i | −0.225777 | − | 0.130352i | 0.382845 | − | 0.923812i | \(-0.374944\pi\) |
−0.608622 | + | 0.793460i | \(0.708278\pi\) | |||||||
\(24\) | −8.97524 | + | 2.74055i | −1.83206 | + | 0.559413i | ||||
\(25\) | 0.955842 | + | 0.694460i | 0.191168 | + | 0.138892i | ||||
\(26\) | −4.86822 | − | 7.52558i | −0.954737 | − | 1.47589i | ||||
\(27\) | 1.86725 | − | 4.84906i | 0.359353 | − | 0.933202i | ||||
\(28\) | 4.85240 | + | 5.38914i | 0.917018 | + | 1.01845i | ||||
\(29\) | 0.619399 | + | 5.89319i | 0.115020 | + | 1.09434i | 0.887979 | + | 0.459883i | \(0.152109\pi\) |
−0.772960 | + | 0.634455i | \(0.781225\pi\) | |||||||
\(30\) | −3.28476 | − | 7.74599i | −0.599712 | − | 1.41422i | ||||
\(31\) | 2.15781 | − | 0.701114i | 0.387554 | − | 0.125924i | −0.108758 | − | 0.994068i | \(-0.534687\pi\) |
0.496312 | + | 0.868144i | \(0.334687\pi\) | |||||||
\(32\) | −1.61546 | + | 0.932683i | −0.285575 | + | 0.164877i | ||||
\(33\) | −1.92680 | − | 5.41179i | −0.335413 | − | 0.942071i | ||||
\(34\) | 6.90079i | 1.18348i | ||||||||
\(35\) | −2.26869 | + | 2.51964i | −0.383479 | + | 0.425897i | ||||
\(36\) | 1.75377 | − | 12.4154i | 0.292296 | − | 2.06923i | ||||
\(37\) | 3.10887 | − | 0.326756i | 0.511095 | − | 0.0537183i | 0.154529 | − | 0.987988i | \(-0.450614\pi\) |
0.356566 | + | 0.934270i | \(0.383947\pi\) | |||||||
\(38\) | −19.2005 | − | 6.23862i | −3.11473 | − | 1.01204i | ||||
\(39\) | 6.18605 | − | 0.855995i | 0.990562 | − | 0.137069i | ||||
\(40\) | −6.22312 | − | 8.56540i | −0.983962 | − | 1.35431i | ||||
\(41\) | 2.58126 | + | 5.79760i | 0.403125 | + | 0.905433i | 0.995044 | + | 0.0994356i | \(0.0317037\pi\) |
−0.591919 | + | 0.805997i | \(0.701630\pi\) | |||||||
\(42\) | −7.14495 | + | 2.18168i | −1.10249 | + | 0.336641i | ||||
\(43\) | −5.57680 | + | 3.21977i | −0.850454 | + | 0.491010i | −0.860804 | − | 0.508937i | \(-0.830039\pi\) |
0.0103503 | + | 0.999946i | \(0.496705\pi\) | |||||||
\(44\) | −7.47205 | − | 11.6757i | −1.12645 | − | 1.76018i | ||||
\(45\) | 5.85859 | + | 0.208714i | 0.873347 | + | 0.0311132i | ||||
\(46\) | 2.07971 | − | 2.30975i | 0.306636 | − | 0.340554i | ||||
\(47\) | 1.97950 | + | 1.43819i | 0.288739 | + | 0.209781i | 0.722720 | − | 0.691141i | \(-0.242891\pi\) |
−0.433981 | + | 0.900922i | \(0.642891\pi\) | |||||||
\(48\) | −0.768214 | − | 8.81645i | −0.110882 | − | 1.27254i | ||||
\(49\) | −2.66951 | − | 2.96479i | −0.381359 | − | 0.423542i | ||||
\(50\) | −2.18263 | + | 1.96525i | −0.308670 | + | 0.277928i | ||||
\(51\) | −4.35698 | − | 2.03356i | −0.610099 | − | 0.284755i | ||||
\(52\) | 14.0782 | − | 5.37549i | 1.95229 | − | 0.745447i | ||||
\(53\) | 5.45390 | − | 1.77208i | 0.749151 | − | 0.243414i | 0.0905353 | − | 0.995893i | \(-0.471142\pi\) |
0.658616 | + | 0.752479i | \(0.271142\pi\) | |||||||
\(54\) | 10.8256 | + | 7.04650i | 1.47318 | + | 0.958908i | ||||
\(55\) | 5.06379 | − | 4.04495i | 0.682802 | − | 0.545421i | ||||
\(56\) | −8.14125 | + | 4.70035i | −1.08792 | + | 0.628111i | ||||
\(57\) | 9.59701 | − | 10.2843i | 1.27116 | − | 1.36219i | ||||
\(58\) | −14.6497 | − | 1.53975i | −1.92360 | − | 0.202178i | ||||
\(59\) | 1.02457 | + | 0.456167i | 0.133387 | + | 0.0593878i | 0.472345 | − | 0.881414i | \(-0.343408\pi\) |
−0.338958 | + | 0.940802i | \(0.610074\pi\) | |||||||
\(60\) | 13.8871 | − | 2.69431i | 1.79282 | − | 0.347834i | ||||
\(61\) | 1.83328 | + | 8.62493i | 0.234728 | + | 1.10431i | 0.924766 | + | 0.380536i | \(0.124260\pi\) |
−0.690038 | + | 0.723773i | \(0.742406\pi\) | |||||||
\(62\) | 0.589548 | + | 5.60917i | 0.0748726 | + | 0.712365i | ||||
\(63\) | 0.728053 | − | 5.15405i | 0.0917261 | − | 0.649349i | ||||
\(64\) | 1.72489 | + | 5.30868i | 0.215612 | + | 0.663585i | ||||
\(65\) | 3.18751 | + | 6.28335i | 0.395362 | + | 0.779354i | ||||
\(66\) | 14.1549 | − | 1.88807i | 1.74234 | − | 0.232405i | ||||
\(67\) | 0.900324 | + | 0.519802i | 0.109992 | + | 0.0635039i | 0.553987 | − | 0.832525i | \(-0.313106\pi\) |
−0.443995 | + | 0.896029i | \(0.646439\pi\) | |||||||
\(68\) | −11.3489 | − | 2.41228i | −1.37625 | − | 0.292532i | ||||
\(69\) | 0.845457 | + | 1.99372i | 0.101781 | + | 0.240016i | ||||
\(70\) | −4.95406 | − | 6.81868i | −0.592124 | − | 0.814989i | ||||
\(71\) | −12.5353 | + | 2.66446i | −1.48767 | + | 0.316213i | −0.878850 | − | 0.477098i | \(-0.841689\pi\) |
−0.608816 | + | 0.793311i | \(0.708355\pi\) | |||||||
\(72\) | 15.2700 | + | 5.56999i | 1.79958 | + | 0.656429i | ||||
\(73\) | 13.2695 | − | 9.64086i | 1.55308 | − | 1.12838i | 0.611667 | − | 0.791115i | \(-0.290499\pi\) |
0.941411 | − | 0.337262i | \(-0.109501\pi\) | |||||||
\(74\) | −0.812271 | + | 7.72825i | −0.0944246 | + | 0.898390i | ||||
\(75\) | −0.597619 | − | 1.95719i | −0.0690071 | − | 0.225996i | ||||
\(76\) | 16.9717 | − | 29.3959i | 1.94679 | − | 3.37194i | ||||
\(77\) | −3.10191 | − | 4.84700i | −0.353495 | − | 0.552367i | ||||
\(78\) | −1.11582 | + | 15.4841i | −0.126341 | + | 1.75323i | ||||
\(79\) | −15.2340 | + | 4.94982i | −1.71396 | + | 0.556898i | −0.990984 | − | 0.133980i | \(-0.957224\pi\) |
−0.722971 | + | 0.690878i | \(0.757224\pi\) | |||||||
\(80\) | 9.12122 | − | 4.06103i | 1.01978 | − | 0.454037i | ||||
\(81\) | −7.63914 | + | 4.75853i | −0.848793 | + | 0.528725i | ||||
\(82\) | −15.4312 | + | 3.28001i | −1.70409 | + | 0.362216i | ||||
\(83\) | −0.773790 | − | 0.251420i | −0.0849345 | − | 0.0275969i | 0.266242 | − | 0.963906i | \(-0.414218\pi\) |
−0.351176 | + | 0.936309i | \(0.614218\pi\) | |||||||
\(84\) | −1.09032 | − | 12.5131i | −0.118963 | − | 1.36529i | ||||
\(85\) | 0.567025 | − | 5.39488i | 0.0615025 | − | 0.585157i | ||||
\(86\) | −4.94669 | − | 15.2243i | −0.533415 | − | 1.64168i | ||||
\(87\) | 5.28920 | − | 8.79570i | 0.567062 | − | 0.942998i | ||||
\(88\) | 16.8187 | − | 6.32769i | 1.79288 | − | 0.674534i | ||||
\(89\) | −1.92456 | + | 3.33344i | −0.204003 | + | 0.353344i | −0.949815 | − | 0.312813i | \(-0.898729\pi\) |
0.745811 | + | 0.666157i | \(0.232062\pi\) | |||||||
\(90\) | −3.53546 | + | 14.1376i | −0.372670 | + | 1.49023i | ||||
\(91\) | 5.84434 | − | 2.23155i | 0.612654 | − | 0.233930i | ||||
\(92\) | 3.07157 | + | 4.22765i | 0.320233 | + | 0.440763i | ||||
\(93\) | −3.71522 | − | 1.28071i | −0.385250 | − | 0.132804i | ||||
\(94\) | −4.52011 | + | 4.06992i | −0.466213 | + | 0.419780i | ||||
\(95\) | 14.4979 | + | 6.45489i | 1.48745 | + | 0.662258i | ||||
\(96\) | 3.20669 | + | 0.394877i | 0.327281 | + | 0.0403020i | ||||
\(97\) | 8.42804 | + | 7.58865i | 0.855738 | + | 0.770510i | 0.974965 | − | 0.222357i | \(-0.0713750\pi\) |
−0.119227 | + | 0.992867i | \(0.538042\pi\) | |||||||
\(98\) | 8.58874 | − | 4.95871i | 0.867594 | − | 0.500906i | ||||
\(99\) | −2.97915 | + | 9.49340i | −0.299416 | + | 0.954123i | ||||
\(100\) | −2.46903 | − | 4.27649i | −0.246903 | − | 0.427649i | ||||
\(101\) | −4.49799 | − | 0.956078i | −0.447567 | − | 0.0951333i | −0.0213862 | − | 0.999771i | \(-0.506808\pi\) |
−0.426181 | + | 0.904638i | \(0.640141\pi\) | |||||||
\(102\) | 7.19656 | − | 9.54317i | 0.712566 | − | 0.944915i | ||||
\(103\) | −12.6094 | + | 9.16129i | −1.24244 | + | 0.902688i | −0.997759 | − | 0.0669142i | \(-0.978685\pi\) |
−0.244685 | + | 0.969603i | \(0.578685\pi\) | |||||||
\(104\) | 3.02174 | + | 19.2999i | 0.296306 | + | 1.89251i | ||||
\(105\) | 5.76503 | − | 1.11850i | 0.562610 | − | 0.109155i | ||||
\(106\) | 1.49009 | + | 14.1773i | 0.144731 | + | 1.37702i | ||||
\(107\) | 13.0917 | − | 5.82879i | 1.26562 | − | 0.563490i | 0.339459 | − | 0.940621i | \(-0.389756\pi\) |
0.926160 | + | 0.377131i | \(0.123089\pi\) | |||||||
\(108\) | −15.3728 | + | 15.3404i | −1.47925 | + | 1.47613i | ||||
\(109\) | 0.893997 | 0.0856294 | 0.0428147 | − | 0.999083i | \(-0.486367\pi\) | ||||
0.0428147 | + | 0.999083i | \(0.486367\pi\) | |||||||
\(110\) | 7.21831 | + | 14.4034i | 0.688239 | + | 1.37331i | ||||
\(111\) | −4.64005 | − | 2.79025i | −0.440414 | − | 0.264839i | ||||
\(112\) | −2.73953 | − | 8.43140i | −0.258861 | − | 0.796692i | ||||
\(113\) | −0.358285 | − | 0.0376573i | −0.0337046 | − | 0.00354250i | 0.0876611 | − | 0.996150i | \(-0.472061\pi\) |
−0.121366 | + | 0.992608i | \(0.538727\pi\) | |||||||
\(114\) | 20.0466 | + | 28.6509i | 1.87753 | + | 2.68340i | ||||
\(115\) | −1.81566 | + | 1.63482i | −0.169311 | + | 0.152448i | ||||
\(116\) | 7.65327 | − | 23.5543i | 0.710588 | − | 2.18697i | ||||
\(117\) | −9.44744 | − | 5.26743i | −0.873416 | − | 0.486974i | ||||
\(118\) | −1.63873 | + | 2.25552i | −0.150857 | + | 0.207637i | ||||
\(119\) | −4.71132 | − | 1.00142i | −0.431886 | − | 0.0918002i | ||||
\(120\) | −0.326492 | + | 18.3350i | −0.0298045 | + | 1.67375i | ||||
\(121\) | 4.33964 | + | 10.1078i | 0.394513 | + | 0.918890i | ||||
\(122\) | −21.9194 | −1.98449 | ||||||||
\(123\) | 2.47644 | − | 10.7095i | 0.223293 | − | 0.965639i | ||||
\(124\) | −9.43081 | − | 0.991218i | −0.846912 | − | 0.0890140i | ||||
\(125\) | 9.77232 | − | 7.10001i | 0.874063 | − | 0.635044i | ||||
\(126\) | 12.1560 | + | 4.43412i | 1.08294 | + | 0.395023i | ||||
\(127\) | −8.85332 | + | 7.97156i | −0.785605 | + | 0.707362i | −0.960821 | − | 0.277168i | \(-0.910604\pi\) |
0.175217 | + | 0.984530i | \(0.443937\pi\) | |||||||
\(128\) | −17.5101 | + | 1.84038i | −1.54769 | + | 0.162669i | ||||
\(129\) | 11.0700 | + | 1.36318i | 0.974657 | + | 0.120021i | ||||
\(130\) | −16.9257 | + | 4.50308i | −1.48448 | + | 0.394946i | ||||
\(131\) | 19.6849 | 1.71988 | 0.859941 | − | 0.510394i | \(-0.170500\pi\) | ||||
0.859941 | + | 0.510394i | \(0.170500\pi\) | |||||||
\(132\) | −1.84298 | + | 23.9388i | −0.160411 | + | 2.08360i | ||||
\(133\) | 7.04557 | − | 12.2033i | 0.610928 | − | 1.05816i | ||||
\(134\) | −1.72925 | + | 1.92052i | −0.149384 | + | 0.165908i | ||||
\(135\) | −7.88424 | − | 6.39833i | −0.678568 | − | 0.550680i | ||||
\(136\) | 6.11754 | − | 13.7402i | 0.524574 | − | 1.17821i | ||||
\(137\) | 3.87600 | − | 0.823869i | 0.331149 | − | 0.0703879i | −0.0393368 | − | 0.999226i | \(-0.512525\pi\) |
0.370486 | + | 0.928838i | \(0.379191\pi\) | |||||||
\(138\) | −5.28479 | + | 1.02533i | −0.449871 | + | 0.0872819i | ||||
\(139\) | 5.75928 | − | 12.9356i | 0.488496 | − | 1.09718i | −0.486242 | − | 0.873824i | \(-0.661632\pi\) |
0.974737 | − | 0.223355i | \(-0.0717008\pi\) | |||||||
\(140\) | 12.9456 | − | 5.76377i | 1.09411 | − | 0.487127i | ||||
\(141\) | −1.23764 | − | 4.05323i | −0.104228 | − | 0.341343i | ||||
\(142\) | − | 31.8573i | − | 2.67340i | ||||||
\(143\) | −11.7175 | + | 2.38741i | −0.979868 | + | 0.199646i | ||||
\(144\) | −8.13196 | + | 12.9935i | −0.677663 | + | 1.08279i | ||||
\(145\) | 11.3263 | + | 2.40748i | 0.940597 | + | 0.199930i | ||||
\(146\) | 16.5840 | + | 37.2482i | 1.37250 | + | 3.08268i | ||||
\(147\) | 0.599829 | + | 6.88397i | 0.0494731 | + | 0.567781i | ||||
\(148\) | −12.4258 | − | 4.03738i | −1.02139 | − | 0.331870i | ||||
\(149\) | −1.98916 | − | 9.35824i | −0.162958 | − | 0.766657i | −0.981386 | − | 0.192047i | \(-0.938487\pi\) |
0.818428 | − | 0.574610i | \(-0.194846\pi\) | |||||||
\(150\) | 5.06786 | − | 0.441584i | 0.413789 | − | 0.0360552i | ||||
\(151\) | −15.8805 | − | 11.5378i | −1.29234 | − | 0.938937i | −0.292486 | − | 0.956270i | \(-0.594482\pi\) |
−0.999850 | + | 0.0173331i | \(0.994482\pi\) | |||||||
\(152\) | 32.6997 | + | 29.4430i | 2.65230 | + | 2.38814i | ||||
\(153\) | 3.90459 | + | 7.35596i | 0.315668 | + | 0.594694i | ||||
\(154\) | 13.3889 | − | 5.03730i | 1.07891 | − | 0.405918i | ||||
\(155\) | − | 4.43357i | − | 0.356113i | ||||||
\(156\) | −25.0748 | − | 7.24776i | −2.00759 | − | 0.580285i | ||||
\(157\) | 6.44723 | + | 4.68419i | 0.514545 | + | 0.373839i | 0.814545 | − | 0.580100i | \(-0.196987\pi\) |
−0.300000 | + | 0.953939i | \(0.596987\pi\) | |||||||
\(158\) | −4.16217 | − | 39.6004i | −0.331124 | − | 3.15044i | ||||
\(159\) | −9.39029 | − | 3.23703i | −0.744699 | − | 0.256713i | ||||
\(160\) | 0.757862 | + | 3.56546i | 0.0599143 | + | 0.281875i | ||||
\(161\) | 1.27512 | + | 1.75505i | 0.100493 | + | 0.138317i | ||||
\(162\) | −7.62236 | − | 21.0343i | −0.598869 | − | 1.65261i | ||||
\(163\) | −2.06852 | − | 1.86251i | −0.162019 | − | 0.145883i | 0.584133 | − | 0.811658i | \(-0.301434\pi\) |
−0.746153 | + | 0.665775i | \(0.768101\pi\) | |||||||
\(164\) | − | 26.5244i | − | 2.07121i | ||||||
\(165\) | −11.2211 | + | 0.312973i | −0.873561 | + | 0.0243649i | ||||
\(166\) | 1.01126 | − | 1.75156i | 0.0784893 | − | 0.135948i | ||||
\(167\) | −1.73228 | + | 8.14975i | −0.134048 | + | 0.630646i | 0.858905 | + | 0.512135i | \(0.171145\pi\) |
−0.992953 | + | 0.118511i | \(0.962188\pi\) | |||||||
\(168\) | 16.1604 | + | 1.99002i | 1.24680 | + | 0.153534i | ||||
\(169\) | 0.0460923 | − | 12.9999i | 0.00354556 | − | 0.999994i | ||||
\(170\) | 12.8248 | + | 4.16704i | 0.983621 | + | 0.319598i | ||||
\(171\) | −23.9969 | + | 4.21389i | −1.83509 | + | 0.322244i | ||||
\(172\) | 26.7668 | − | 2.81331i | 2.04095 | − | 0.214513i | ||||
\(173\) | 0.290017 | − | 2.75933i | 0.0220496 | − | 0.209788i | −0.977950 | − | 0.208839i | \(-0.933031\pi\) |
1.00000 | 0.000948463i | \(-0.000301905\pi\) | ||||||||
\(174\) | 18.6535 | + | 17.4069i | 1.41412 | + | 1.31962i | ||||
\(175\) | −1.02498 | − | 1.77532i | −0.0774814 | − | 0.134202i | ||||
\(176\) | 2.53926 | + | 16.7549i | 0.191404 | + | 1.26294i | ||||
\(177\) | −0.941166 | − | 1.69932i | −0.0707424 | − | 0.127729i | ||||
\(178\) | −7.11073 | − | 6.40253i | −0.532972 | − | 0.479890i | ||||
\(179\) | −6.63759 | − | 14.9083i | −0.496117 | − | 1.11430i | −0.972041 | − | 0.234810i | \(-0.924553\pi\) |
0.475925 | − | 0.879486i | \(-0.342113\pi\) | |||||||
\(180\) | −22.0144 | − | 10.7563i | −1.64086 | − | 0.801731i | ||||
\(181\) | −1.14304 | + | 3.51790i | −0.0849612 | + | 0.261484i | −0.984508 | − | 0.175341i | \(-0.943897\pi\) |
0.899546 | + | 0.436825i | \(0.143897\pi\) | |||||||
\(182\) | 2.40553 | + | 15.3642i | 0.178310 | + | 1.13887i | ||||
\(183\) | 6.45933 | − | 13.8394i | 0.477487 | − | 1.02303i | ||||
\(184\) | −6.18851 | + | 2.75530i | −0.456223 | + | 0.203123i | ||||
\(185\) | 1.27003 | − | 5.97503i | 0.0933746 | − | 0.439293i | ||||
\(186\) | 5.03429 | − | 8.37180i | 0.369132 | − | 0.613850i | ||||
\(187\) | 8.57325 | + | 3.35675i | 0.626938 | + | 0.245470i | ||||
\(188\) | −5.11323 | − | 8.85638i | −0.372921 | − | 0.645918i | ||||
\(189\) | −6.38179 | + | 6.36833i | −0.464207 | + | 0.463228i | ||||
\(190\) | −23.1885 | + | 31.9162i | −1.68227 | + | 2.31544i | ||||
\(191\) | 2.41387 | − | 5.42164i | 0.174661 | − | 0.392296i | −0.804909 | − | 0.593399i | \(-0.797786\pi\) |
0.979570 | + | 0.201103i | \(0.0644525\pi\) | |||||||
\(192\) | 3.15084 | − | 9.14025i | 0.227392 | − | 0.659641i | ||||
\(193\) | −6.03443 | − | 6.70191i | −0.434368 | − | 0.482414i | 0.485727 | − | 0.874111i | \(-0.338555\pi\) |
−0.920095 | + | 0.391696i | \(0.871888\pi\) | |||||||
\(194\) | −22.8081 | + | 16.5711i | −1.63753 | + | 1.18973i | ||||
\(195\) | 2.14462 | − | 12.0134i | 0.153579 | − | 0.860300i | ||||
\(196\) | 5.15266 | + | 15.8583i | 0.368047 | + | 1.13273i | ||||
\(197\) | −7.90452 | − | 4.56368i | −0.563174 | − | 0.325148i | 0.191245 | − | 0.981542i | \(-0.438748\pi\) |
−0.754418 | + | 0.656394i | \(0.772081\pi\) | |||||||
\(198\) | −21.5439 | − | 12.1505i | −1.53106 | − | 0.863499i | ||||
\(199\) | 0.422928 | + | 0.732533i | 0.0299806 | + | 0.0519279i | 0.880626 | − | 0.473811i | \(-0.157122\pi\) |
−0.850646 | + | 0.525739i | \(0.823789\pi\) | |||||||
\(200\) | 6.08804 | − | 1.97812i | 0.430489 | − | 0.139875i | ||||
\(201\) | −0.702986 | − | 1.65775i | −0.0495848 | − | 0.116929i | ||||
\(202\) | 4.64949 | − | 10.4429i | 0.327137 | − | 0.734762i | ||||
\(203\) | 3.17714 | − | 9.77823i | 0.222991 | − | 0.686297i | ||||
\(204\) | 13.1788 | + | 15.1713i | 0.922702 | + | 1.06220i | ||||
\(205\) | 12.3333 | − | 1.29628i | 0.861396 | − | 0.0905363i | ||||
\(206\) | −15.7590 | − | 35.3953i | −1.09798 | − | 2.46611i | ||||
\(207\) | 0.909983 | − | 3.63883i | 0.0632482 | − | 0.252916i | ||||
\(208\) | −18.3955 | − | 0.996769i | −1.27550 | − | 0.0691135i | ||||
\(209\) | −17.0903 | + | 20.8193i | −1.18216 | + | 1.44010i | ||||
\(210\) | −0.259911 | + | 14.5960i | −0.0179356 | + | 1.00722i | ||||
\(211\) | −5.65517 | + | 26.6055i | −0.389318 | + | 1.83160i | 0.148977 | + | 0.988841i | \(0.452402\pi\) |
−0.538295 | + | 0.842756i | \(0.680931\pi\) | |||||||
\(212\) | −23.8366 | − | 2.50532i | −1.63710 | − | 0.172066i | ||||
\(213\) | 20.1139 | + | 9.38786i | 1.37818 | + | 0.643246i | ||||
\(214\) | 7.40665 | + | 34.8455i | 0.506308 | + | 2.38199i | ||||
\(215\) | 2.61626 | + | 12.3085i | 0.178427 | + | 0.839434i | ||||
\(216\) | −15.3083 | − | 23.6273i | −1.04160 | − | 1.60763i | ||||
\(217\) | −3.91506 | − | 0.411489i | −0.265771 | − | 0.0279337i | ||||
\(218\) | −0.462054 | + | 2.17380i | −0.0312943 | + | 0.147228i | ||||
\(219\) | −28.4046 | − | 0.505801i | −1.91941 | − | 0.0341789i | ||||
\(220\) | −26.2109 | + | 6.83612i | −1.76714 | + | 0.460891i | ||||
\(221\) | −5.46618 | + | 8.38461i | −0.367695 | + | 0.564010i | ||||
\(222\) | 9.18278 | − | 9.84039i | 0.616308 | − | 0.660443i | ||||
\(223\) | −4.39381 | − | 9.86866i | −0.294231 | − | 0.660854i | 0.704579 | − | 0.709626i | \(-0.251136\pi\) |
−0.998810 | + | 0.0487716i | \(0.984469\pi\) | |||||||
\(224\) | 3.21882 | − | 0.338311i | 0.215066 | − | 0.0226044i | ||||
\(225\) | −1.21462 | + | 3.32985i | −0.0809746 | + | 0.221990i | ||||
\(226\) | 0.276742 | − | 0.851723i | 0.0184086 | − | 0.0566558i | ||||
\(227\) | 7.80998 | − | 17.5415i | 0.518367 | − | 1.16427i | −0.444865 | − | 0.895598i | \(-0.646748\pi\) |
0.963231 | − | 0.268673i | \(-0.0865851\pi\) | |||||||
\(228\) | −54.1263 | + | 22.9528i | −3.58460 | + | 1.52008i | ||||
\(229\) | 7.27236 | − | 2.36293i | 0.480571 | − | 0.156147i | −0.0587060 | − | 0.998275i | \(-0.518697\pi\) |
0.539277 | + | 0.842128i | \(0.318697\pi\) | |||||||
\(230\) | −3.03674 | − | 5.25980i | −0.200237 | − | 0.346821i | ||||
\(231\) | −0.765084 | + | 9.93783i | −0.0503389 | + | 0.653861i | ||||
\(232\) | 27.8041 | + | 16.0527i | 1.82543 | + | 1.05391i | ||||
\(233\) | −3.74483 | − | 11.5254i | −0.245332 | − | 0.755055i | −0.995582 | − | 0.0938999i | \(-0.970067\pi\) |
0.750250 | − | 0.661155i | \(-0.229933\pi\) | |||||||
\(234\) | 17.6908 | − | 20.2495i | 1.15649 | − | 1.32375i | ||||
\(235\) | 3.86814 | − | 2.81037i | 0.252330 | − | 0.183328i | ||||
\(236\) | −3.13653 | − | 3.48347i | −0.204171 | − | 0.226755i | ||||
\(237\) | 26.2292 | + | 9.04176i | 1.70377 | + | 0.587325i | ||||
\(238\) | 4.87001 | − | 10.9382i | 0.315676 | − | 0.709019i | ||||
\(239\) | 0.176534 | − | 0.242978i | 0.0114190 | − | 0.0157170i | −0.803269 | − | 0.595616i | \(-0.796908\pi\) |
0.814688 | + | 0.579899i | \(0.196908\pi\) | |||||||
\(240\) | −16.8489 | − | 3.89612i | −1.08759 | − | 0.251494i | ||||
\(241\) | 4.54079 | + | 7.86488i | 0.292498 | + | 0.506622i | 0.974400 | − | 0.224822i | \(-0.0721801\pi\) |
−0.681902 | + | 0.731444i | \(0.738847\pi\) | |||||||
\(242\) | −26.8205 | + | 5.32792i | −1.72408 | + | 0.342492i | ||||
\(243\) | 15.5267 | + | 1.38594i | 0.996040 | + | 0.0889080i | ||||
\(244\) | 7.66228 | − | 36.0482i | 0.490527 | − | 2.30775i | ||||
\(245\) | −7.12194 | + | 3.17089i | −0.455004 | + | 0.202581i | ||||
\(246\) | 24.7606 | + | 11.5567i | 1.57868 | + | 0.736826i | ||||
\(247\) | −18.3874 | − | 22.7890i | −1.16996 | − | 1.45003i | ||||
\(248\) | 3.79867 | − | 11.6911i | 0.241216 | − | 0.742385i | ||||
\(249\) | 0.807886 | + | 1.15465i | 0.0511977 | + | 0.0731727i | ||||
\(250\) | 12.2133 | + | 27.4314i | 0.772434 | + | 1.73492i | ||||
\(251\) | 12.5460 | + | 11.2965i | 0.791895 | + | 0.713026i | 0.962194 | − | 0.272367i | \(-0.0878064\pi\) |
−0.170298 | + | 0.985393i | \(0.554473\pi\) | |||||||
\(252\) | −11.5416 | + | 18.4415i | −0.727052 | + | 1.16171i | ||||
\(253\) | −1.85790 | − | 3.70727i | −0.116805 | − | 0.233074i | ||||
\(254\) | −14.8075 | − | 25.6473i | −0.929103 | − | 1.60925i | ||||
\(255\) | −6.41026 | + | 6.86931i | −0.401426 | + | 0.430173i | ||||
\(256\) | 3.40802 | − | 32.4252i | 0.213001 | − | 2.02657i | ||||
\(257\) | −23.7676 | + | 2.49808i | −1.48258 | + | 0.155826i | −0.810976 | − | 0.585080i | \(-0.801063\pi\) |
−0.671609 | + | 0.740906i | \(0.734397\pi\) | |||||||
\(258\) | −9.03604 | + | 26.2126i | −0.562559 | + | 1.63193i | ||||
\(259\) | −5.15837 | − | 1.67606i | −0.320526 | − | 0.104145i | ||||
\(260\) | −1.48902 | − | 29.4097i | −0.0923453 | − | 1.82392i | ||||
\(261\) | −16.4872 | + | 6.64777i | −1.02053 | + | 0.411486i | ||||
\(262\) | −10.1740 | + | 47.8648i | −0.628551 | + | 2.95710i | ||||
\(263\) | −9.27190 | + | 16.0594i | −0.571730 | + | 0.990265i | 0.424659 | + | 0.905353i | \(0.360394\pi\) |
−0.996389 | + | 0.0849113i | \(0.972939\pi\) | |||||||
\(264\) | −29.8576 | − | 8.78891i | −1.83761 | − | 0.540920i | ||||
\(265\) | − | 11.2059i | − | 0.688375i | ||||||
\(266\) | 26.0314 | + | 23.4388i | 1.59609 | + | 1.43712i | ||||
\(267\) | 6.13782 | − | 2.60280i | 0.375628 | − | 0.159289i | ||||
\(268\) | −2.55397 | − | 3.51523i | −0.156008 | − | 0.214727i | ||||
\(269\) | 4.56876 | + | 21.4943i | 0.278562 | + | 1.31053i | 0.865504 | + | 0.500902i | \(0.166998\pi\) |
−0.586942 | + | 0.809629i | \(0.699668\pi\) | |||||||
\(270\) | 19.6327 | − | 15.8640i | 1.19481 | − | 0.965451i | ||||
\(271\) | 1.30493 | + | 12.4156i | 0.0792690 | + | 0.754194i | 0.959891 | + | 0.280374i | \(0.0904585\pi\) |
−0.880622 | + | 0.473820i | \(0.842875\pi\) | |||||||
\(272\) | 11.4750 | + | 8.33710i | 0.695776 | + | 0.505511i | ||||
\(273\) | −10.4094 | − | 3.00880i | −0.630006 | − | 0.182101i | ||||
\(274\) | 9.85048i | 0.595089i | ||||||||
\(275\) | 1.37985 | + | 3.66756i | 0.0832079 | + | 0.221162i | ||||
\(276\) | 0.161148 | − | 9.04968i | 0.00969995 | − | 0.544727i | ||||
\(277\) | 4.44145 | + | 3.99910i | 0.266861 | + | 0.240282i | 0.791687 | − | 0.610927i | \(-0.209203\pi\) |
−0.524826 | + | 0.851209i | \(0.675870\pi\) | |||||||
\(278\) | 28.4768 | + | 20.6896i | 1.70792 | + | 1.24088i | ||||
\(279\) | 3.80221 | + | 5.64557i | 0.227632 | + | 0.337991i | ||||
\(280\) | 3.81932 | + | 17.9685i | 0.228248 | + | 1.07382i | ||||
\(281\) | 18.1330 | + | 5.89177i | 1.08172 | + | 0.351474i | 0.795044 | − | 0.606552i | \(-0.207448\pi\) |
0.286681 | + | 0.958026i | \(0.407448\pi\) | |||||||
\(282\) | 10.4953 | − | 0.914496i | 0.624984 | − | 0.0544575i | ||||
\(283\) | 2.40775 | + | 5.40790i | 0.143126 | + | 0.321466i | 0.970857 | − | 0.239658i | \(-0.0770354\pi\) |
−0.827731 | + | 0.561125i | \(0.810369\pi\) | |||||||
\(284\) | 52.3918 | + | 11.1362i | 3.10888 | + | 0.660813i | ||||
\(285\) | −13.3178 | − | 24.0458i | −0.788877 | − | 1.42435i | ||||
\(286\) | 0.250989 | − | 29.7256i | 0.0148413 | − | 1.75771i | ||||
\(287\) | − | 11.0112i | − | 0.649972i | ||||||
\(288\) | −4.02276 | − | 3.89021i | −0.237043 | − | 0.229233i | ||||
\(289\) | −8.49029 | + | 3.78012i | −0.499429 | + | 0.222360i | ||||
\(290\) | −11.7078 | + | 26.2961i | −0.687505 | + | 1.54416i | ||||
\(291\) | −3.74133 | − | 19.2837i | −0.219321 | − | 1.13043i | ||||
\(292\) | −67.0548 | + | 14.2529i | −3.92408 | + | 0.834090i | ||||
\(293\) | 2.47198 | − | 5.55215i | 0.144414 | − | 0.324360i | −0.826827 | − | 0.562456i | \(-0.809857\pi\) |
0.971242 | + | 0.238096i | \(0.0765233\pi\) | |||||||
\(294\) | −17.0487 | − | 2.09941i | −0.994301 | − | 0.122440i | ||||
\(295\) | 1.46645 | − | 1.62866i | 0.0853802 | − | 0.0948243i | ||||
\(296\) | 8.46840 | − | 14.6677i | 0.492215 | − | 0.852542i | ||||
\(297\) | 14.0202 | − | 10.0217i | 0.813534 | − | 0.581517i | ||||
\(298\) | 23.7831 | 1.37772 | ||||||||
\(299\) | 4.35646 | − | 1.15904i | 0.251941 | − | 0.0670288i | ||||
\(300\) | −1.04533 | + | 8.48886i | −0.0603523 | + | 0.490105i | ||||
\(301\) | 11.1118 | − | 1.16790i | 0.640476 | − | 0.0673168i | ||||
\(302\) | 36.2625 | − | 32.6509i | 2.08667 | − | 1.87885i | ||||
\(303\) | 5.22327 | + | 6.01295i | 0.300069 | + | 0.345435i | ||||
\(304\) | −33.5708 | + | 24.3906i | −1.92542 | + | 1.39890i | ||||
\(305\) | 17.1361 | + | 1.80108i | 0.981211 | + | 0.103129i | ||||
\(306\) | −19.9044 | + | 5.69234i | −1.13786 | + | 0.325409i | ||||
\(307\) | −1.68828 | −0.0963551 | −0.0481775 | − | 0.998839i | \(-0.515341\pi\) | ||||
−0.0481775 | + | 0.998839i | \(0.515341\pi\) | |||||||
\(308\) | 3.60394 | + | 23.7800i | 0.205354 | + | 1.35499i | ||||
\(309\) | 26.9917 | + | 0.480640i | 1.53550 | + | 0.0273427i | ||||
\(310\) | 10.7804 | + | 2.29145i | 0.612287 | + | 0.130146i | ||||
\(311\) | 4.12499 | − | 5.67756i | 0.233906 | − | 0.321945i | −0.675887 | − | 0.737005i | \(-0.736239\pi\) |
0.909794 | + | 0.415060i | \(0.136239\pi\) | |||||||
\(312\) | 15.9483 | − | 29.8413i | 0.902896 | − | 1.68943i | ||||
\(313\) | −1.67458 | + | 5.15383i | −0.0946529 | + | 0.291312i | −0.987163 | − | 0.159716i | \(-0.948942\pi\) |
0.892510 | + | 0.451027i | \(0.148942\pi\) | |||||||
\(314\) | −14.7220 | + | 13.2558i | −0.830811 | + | 0.748065i | ||||
\(315\) | −9.13897 | − | 4.46534i | −0.514922 | − | 0.251593i | ||||
\(316\) | 66.5809 | + | 6.99793i | 3.74547 | + | 0.393664i | ||||
\(317\) | −9.56454 | − | 29.4366i | −0.537198 | − | 1.65333i | −0.738851 | − | 0.673868i | \(-0.764631\pi\) |
0.201653 | − | 0.979457i | \(-0.435369\pi\) | |||||||
\(318\) | 12.7243 | − | 21.1599i | 0.713542 | − | 1.18659i | ||||
\(319\) | −9.03896 | + | 17.4512i | −0.506085 | + | 0.977079i | ||||
\(320\) | 10.9076 | 0.609751 | ||||||||
\(321\) | −24.1832 | − | 5.59210i | −1.34978 | − | 0.312120i | ||||
\(322\) | −4.92650 | + | 2.19342i | −0.274543 | + | 0.122235i | ||||
\(323\) | 2.35659 | + | 22.4214i | 0.131124 | + | 1.24756i | ||||
\(324\) | 37.2571 | − | 5.18269i | 2.06984 | − | 0.287927i | ||||
\(325\) | −4.20864 | + | 0.658937i | −0.233453 | + | 0.0365512i | ||||
\(326\) | 5.59787 | − | 4.06709i | 0.310037 | − | 0.225255i | ||||
\(327\) | −1.23632 | − | 0.932315i | −0.0683685 | − | 0.0515571i | ||||
\(328\) | 33.6330 | + | 7.14890i | 1.85707 | + | 0.394732i | ||||
\(329\) | −2.12268 | − | 3.67659i | −0.117027 | − | 0.202697i | ||||
\(330\) | 5.03852 | − | 27.4464i | 0.277361 | − | 1.51087i | ||||
\(331\) | 19.8934 | − | 11.4855i | 1.09344 | − | 0.631298i | 0.158949 | − | 0.987287i | \(-0.449189\pi\) |
0.934490 | + | 0.355989i | \(0.115856\pi\) | |||||||
\(332\) | 2.52708 | + | 2.27539i | 0.138691 | + | 0.124878i | ||||
\(333\) | 3.50694 | + | 8.69759i | 0.192179 | + | 0.476625i | ||||
\(334\) | −18.9212 | − | 8.42425i | −1.03532 | − | 0.460954i | ||||
\(335\) | 1.50969 | − | 1.35933i | 0.0824833 | − | 0.0742683i | ||||
\(336\) | −5.00425 | + | 14.5168i | −0.273004 | + | 0.791957i | ||||
\(337\) | −1.44798 | − | 1.99297i | −0.0788763 | − | 0.108564i | 0.767756 | − | 0.640743i | \(-0.221373\pi\) |
−0.846632 | + | 0.532179i | \(0.821373\pi\) | |||||||
\(338\) | 31.5861 | + | 6.83097i | 1.71806 | + | 0.371556i | ||||
\(339\) | 0.456205 | + | 0.425718i | 0.0247776 | + | 0.0231218i | ||||
\(340\) | −11.3362 | + | 19.6348i | −0.614790 | + | 1.06485i | ||||
\(341\) | 7.25537 | + | 1.99604i | 0.392900 | + | 0.108091i | ||||
\(342\) | 2.15631 | − | 60.5274i | 0.116600 | − | 3.27295i | ||||
\(343\) | 5.89222 | + | 18.1344i | 0.318150 | + | 0.979165i | ||||
\(344\) | −3.64696 | + | 34.6985i | −0.196631 | + | 1.87082i | ||||
\(345\) | 4.21578 | − | 0.367339i | 0.226970 | − | 0.0197769i | ||||
\(346\) | 6.55954 | + | 2.13132i | 0.352643 | + | 0.114581i | ||||
\(347\) | −23.9039 | + | 5.08093i | −1.28323 | + | 0.272759i | −0.798547 | − | 0.601932i | \(-0.794398\pi\) |
−0.484682 | + | 0.874691i | \(0.661065\pi\) | |||||||
\(348\) | −35.1477 | + | 24.5922i | −1.88411 | + | 1.31828i | ||||
\(349\) | −2.73686 | + | 1.21853i | −0.146501 | + | 0.0652263i | −0.478677 | − | 0.877991i | \(-0.658884\pi\) |
0.332177 | + | 0.943217i | \(0.392217\pi\) | |||||||
\(350\) | 4.84653 | − | 1.57473i | 0.259058 | − | 0.0841730i | ||||
\(351\) | 7.57177 | + | 17.1368i | 0.404151 | + | 0.914692i | ||||
\(352\) | −6.17595 | − | 0.364993i | −0.329179 | − | 0.0194542i | ||||
\(353\) | −8.93724 | + | 15.4798i | −0.475681 | + | 0.823904i | −0.999612 | − | 0.0278567i | \(-0.991132\pi\) |
0.523931 | + | 0.851761i | \(0.324465\pi\) | |||||||
\(354\) | 4.61840 | − | 1.41021i | 0.245465 | − | 0.0749519i | ||||
\(355\) | −2.61765 | + | 24.9053i | −0.138931 | + | 1.32184i | ||||
\(356\) | 13.0151 | − | 9.45605i | 0.689801 | − | 0.501169i | ||||
\(357\) | 5.47099 | + | 6.29813i | 0.289556 | + | 0.333332i | ||||
\(358\) | 39.6807 | − | 8.43439i | 2.09719 | − | 0.445772i | ||||
\(359\) | 12.4085 | + | 17.0788i | 0.654896 | + | 0.901387i | 0.999299 | − | 0.0374348i | \(-0.0119187\pi\) |
−0.344403 | + | 0.938822i | \(0.611919\pi\) | |||||||
\(360\) | 19.5724 | − | 25.0152i | 1.03156 | − | 1.31842i | ||||
\(361\) | −45.9302 | − | 9.76277i | −2.41738 | − | 0.513830i | ||||
\(362\) | −7.96318 | − | 4.59754i | −0.418535 | − | 0.241641i | ||||
\(363\) | 4.53968 | − | 18.5038i | 0.238272 | − | 0.971199i | ||||
\(364\) | −26.1084 | − | 1.41470i | −1.36845 | − | 0.0741505i | ||||
\(365\) | −9.90437 | − | 30.4825i | −0.518418 | − | 1.59553i | ||||
\(366\) | 30.3126 | + | 22.8589i | 1.58446 | + | 1.19485i | ||||
\(367\) | 2.54724 | + | 24.2354i | 0.132965 | + | 1.26508i | 0.833926 | + | 0.551876i | \(0.186088\pi\) |
−0.700961 | + | 0.713199i | \(0.747245\pi\) | |||||||
\(368\) | −1.32821 | − | 6.24875i | −0.0692378 | − | 0.325738i | ||||
\(369\) | −14.5932 | + | 12.2276i | −0.759690 | + | 0.636545i | ||||
\(370\) | 13.8722 | + | 6.17628i | 0.721179 | + | 0.321090i | ||||
\(371\) | −9.89539 | − | 1.04005i | −0.513743 | − | 0.0539966i | ||||
\(372\) | 12.0083 | + | 11.2058i | 0.622599 | + | 0.580993i | ||||
\(373\) | −15.3068 | + | 8.83736i | −0.792554 | + | 0.457581i | −0.840861 | − | 0.541251i | \(-0.817951\pi\) |
0.0483068 | + | 0.998833i | \(0.484617\pi\) | |||||||
\(374\) | −12.5931 | + | 19.1113i | −0.651173 | + | 0.988224i | ||||
\(375\) | −20.9186 | − | 0.372497i | −1.08023 | − | 0.0192357i | ||||
\(376\) | 12.6080 | − | 4.09659i | 0.650208 | − | 0.211265i | ||||
\(377\) | −16.5801 | − | 13.4750i | −0.853916 | − | 0.693998i | ||||
\(378\) | −12.1865 | − | 18.8090i | −0.626807 | − | 0.967432i | ||||
\(379\) | 4.04115 | − | 3.63867i | 0.207580 | − | 0.186906i | −0.558783 | − | 0.829314i | \(-0.688731\pi\) |
0.766362 | + | 0.642408i | \(0.222065\pi\) | |||||||
\(380\) | −44.3828 | − | 49.2921i | −2.27679 | − | 2.52863i | ||||
\(381\) | 20.5566 | − | 1.79118i | 1.05315 | − | 0.0917649i | ||||
\(382\) | 11.9354 | + | 8.67156i | 0.610667 | + | 0.443676i | ||||
\(383\) | 3.16990 | − | 3.52053i | 0.161975 | − | 0.179891i | −0.656694 | − | 0.754157i | \(-0.728046\pi\) |
0.818669 | + | 0.574266i | \(0.194712\pi\) | |||||||
\(384\) | 26.1342 | + | 15.7155i | 1.33365 | + | 0.801978i | ||||
\(385\) | −10.8811 | + | 2.83791i | −0.554550 | + | 0.144633i | ||||
\(386\) | 19.4149 | − | 11.2092i | 0.988190 | − | 0.570532i | ||||
\(387\) | −13.8872 | − | 13.4296i | −0.705925 | − | 0.682665i | ||||
\(388\) | −19.2795 | − | 43.3024i | −0.978767 | − | 2.19835i | ||||
\(389\) | 18.7071 | + | 25.7481i | 0.948485 | + | 1.30548i | 0.952197 | + | 0.305485i | \(0.0988186\pi\) |
−0.00371158 | + | 0.999993i | \(0.501181\pi\) | |||||||
\(390\) | 28.1028 | + | 11.4238i | 1.42304 | + | 0.578465i | ||||
\(391\) | −3.30096 | − | 1.07255i | −0.166937 | − | 0.0542410i | ||||
\(392\) | −21.4970 | + | 2.25943i | −1.08576 | + | 0.114118i | ||||
\(393\) | −27.2225 | − | 20.5287i | −1.37319 | − | 1.03553i | ||||
\(394\) | 15.1822 | − | 16.8615i | 0.764866 | − | 0.849470i | ||||
\(395\) | 31.3007i | 1.57491i | ||||||||
\(396\) | 27.5135 | − | 31.1832i | 1.38260 | − | 1.56702i | ||||
\(397\) | −11.0859 | + | 6.40042i | −0.556383 | + | 0.321228i | −0.751693 | − | 0.659514i | \(-0.770762\pi\) |
0.195309 | + | 0.980742i | \(0.437429\pi\) | |||||||
\(398\) | −1.99977 | + | 0.649766i | −0.100240 | + | 0.0325698i | ||||
\(399\) | −22.4697 | + | 9.52850i | −1.12489 | + | 0.477021i | ||||
\(400\) | 0.631014 | + | 6.00369i | 0.0315507 | + | 0.300185i | ||||
\(401\) | −0.667092 | − | 0.740881i | −0.0333130 | − | 0.0369978i | 0.726258 | − | 0.687422i | \(-0.241258\pi\) |
−0.759571 | + | 0.650424i | \(0.774591\pi\) | |||||||
\(402\) | 4.39423 | − | 0.852548i | 0.219164 | − | 0.0425212i | ||||
\(403\) | −3.72677 | + | 7.28225i | −0.185644 | + | 0.362755i | ||||
\(404\) | 15.5489 | + | 11.2970i | 0.773588 | + | 0.562045i | ||||
\(405\) | 4.23064 | + | 17.0705i | 0.210222 | + | 0.848239i | ||||
\(406\) | 22.1341 | + | 12.7791i | 1.09850 | + | 0.634219i | ||||
\(407\) | 9.20614 | + | 4.76838i | 0.456331 | + | 0.236360i | ||||
\(408\) | −22.7891 | + | 12.6217i | −1.12823 | + | 0.624869i | ||||
\(409\) | 22.2692 | − | 24.7324i | 1.10114 | − | 1.22294i | 0.128232 | − | 0.991744i | \(-0.459070\pi\) |
0.972908 | − | 0.231195i | \(-0.0742634\pi\) | |||||||
\(410\) | −3.22239 | + | 30.6590i | −0.159142 | + | 1.51414i | ||||
\(411\) | −6.21934 | − | 2.90279i | −0.306778 | − | 0.143184i | ||||
\(412\) | 63.7192 | − | 13.5439i | 3.13922 | − | 0.667262i | ||||
\(413\) | −1.30208 | − | 1.44611i | −0.0640713 | − | 0.0711584i | ||||
\(414\) | 8.37767 | + | 4.09336i | 0.411740 | + | 0.201178i | ||||
\(415\) | −0.934507 | + | 1.28624i | −0.0458731 | + | 0.0631390i | ||||
\(416\) | 1.75225 | − | 6.49341i | 0.0859110 | − | 0.318366i | ||||
\(417\) | −21.4545 | + | 11.8826i | −1.05063 | + | 0.581893i | ||||
\(418\) | −41.7900 | − | 52.3161i | −2.04402 | − | 2.55886i | ||||
\(419\) | 7.35528 | + | 4.24657i | 0.359329 | + | 0.207459i | 0.668786 | − | 0.743455i | \(-0.266814\pi\) |
−0.309457 | + | 0.950913i | \(0.600147\pi\) | |||||||
\(420\) | −23.9135 | − | 5.52972i | −1.16686 | − | 0.269823i | ||||
\(421\) | 10.5549 | − | 14.5276i | 0.514414 | − | 0.708031i | −0.470242 | − | 0.882538i | \(-0.655833\pi\) |
0.984656 | + | 0.174507i | \(0.0558332\pi\) | |||||||
\(422\) | −61.7696 | − | 27.5016i | −3.00690 | − | 1.33876i | ||||
\(423\) | −2.51541 | + | 6.89593i | −0.122303 | + | 0.335292i | ||||
\(424\) | 9.60121 | − | 29.5495i | 0.466276 | − | 1.43505i | ||||
\(425\) | 2.99626 | + | 1.33402i | 0.145340 | + | 0.0647095i | ||||
\(426\) | −33.2227 | + | 44.0557i | −1.60964 | + | 2.13451i | ||||
\(427\) | 3.18088 | − | 14.9649i | 0.153934 | − | 0.724201i | ||||
\(428\) | −59.8954 | −2.89515 | ||||||||
\(429\) | 18.6940 | + | 8.91816i | 0.902556 | + | 0.430573i | ||||
\(430\) | −31.2809 | −1.50850 | ||||||||
\(431\) | 1.73198 | − | 8.14832i | 0.0834265 | − | 0.392491i | −0.916546 | − | 0.399930i | \(-0.869035\pi\) |
0.999972 | + | 0.00743880i | \(0.00236786\pi\) | |||||||
\(432\) | 24.7962 | − | 9.48835i | 1.19301 | − | 0.456508i | ||||
\(433\) | 26.9214 | + | 11.9862i | 1.29376 | + | 0.576020i | 0.934083 | − | 0.357056i | \(-0.116219\pi\) |
0.359679 | + | 0.933076i | \(0.382886\pi\) | |||||||
\(434\) | 3.02402 | − | 9.30697i | 0.145157 | − | 0.446749i | ||||
\(435\) | −13.1526 | − | 15.1411i | −0.630618 | − | 0.725959i | ||||
\(436\) | −3.41346 | − | 1.51977i | −0.163475 | − | 0.0727838i | ||||
\(437\) | 5.96843 | − | 8.21484i | 0.285509 | − | 0.392969i | ||||
\(438\) | 15.9105 | − | 68.8057i | 0.760235 | − | 3.28766i | ||||
\(439\) | −24.0857 | − | 13.9059i | −1.14955 | − | 0.663690i | −0.200769 | − | 0.979639i | \(-0.564344\pi\) |
−0.948776 | + | 0.315948i | \(0.897677\pi\) | |||||||
\(440\) | −1.60380 | − | 35.0778i | −0.0764581 | − | 1.67227i | ||||
\(441\) | 6.34952 | − | 10.1455i | 0.302358 | − | 0.483117i | ||||
\(442\) | −17.5624 | − | 17.6248i | −0.835358 | − | 0.838326i | ||||
\(443\) | 12.9622 | − | 17.8409i | 0.615851 | − | 0.847646i | −0.381192 | − | 0.924496i | \(-0.624486\pi\) |
0.997043 | + | 0.0768499i | \(0.0244862\pi\) | |||||||
\(444\) | 12.9733 | + | 18.5417i | 0.615686 | + | 0.879949i | ||||
\(445\) | 5.03293 | + | 5.58963i | 0.238584 | + | 0.264974i | ||||
\(446\) | 26.2670 | − | 5.58322i | 1.24378 | − | 0.264373i | ||||
\(447\) | −7.00852 | + | 15.0160i | −0.331492 | + | 0.710233i | ||||
\(448\) | 1.01235 | − | 9.63191i | 0.0478292 | − | 0.455065i | ||||
\(449\) | −4.42184 | + | 4.91095i | −0.208679 | + | 0.231762i | −0.838394 | − | 0.545065i | \(-0.816505\pi\) |
0.629715 | + | 0.776826i | \(0.283172\pi\) | |||||||
\(450\) | −7.46891 | − | 4.67440i | −0.352088 | − | 0.220354i | ||||
\(451\) | −3.43126 | + | 20.7666i | −0.161572 | + | 0.977861i | ||||
\(452\) | 1.30399 | + | 0.752857i | 0.0613344 | + | 0.0354114i | ||||
\(453\) | 9.92892 | + | 32.5169i | 0.466501 | + | 1.52778i | ||||
\(454\) | 38.6165 | + | 28.0565i | 1.81236 | + | 1.31676i | ||||
\(455\) | −0.618146 | − | 12.2090i | −0.0289791 | − | 0.572367i | ||||
\(456\) | −14.5159 | − | 74.8183i | −0.679769 | − | 3.50369i | ||||
\(457\) | −11.9390 | − | 13.2596i | −0.558482 | − | 0.620258i | 0.396099 | − | 0.918208i | \(-0.370364\pi\) |
−0.954581 | + | 0.297950i | \(0.903697\pi\) | |||||||
\(458\) | 1.98693 | + | 18.9043i | 0.0928430 | + | 0.883342i | ||||
\(459\) | 2.27153 | − | 14.2446i | 0.106026 | − | 0.664880i | ||||
\(460\) | 9.71169 | − | 3.15552i | 0.452810 | − | 0.147127i | ||||
\(461\) | 30.0741 | − | 17.3633i | 1.40069 | − | 0.808690i | 0.406229 | − | 0.913771i | \(-0.366844\pi\) |
0.994464 | + | 0.105081i | \(0.0335103\pi\) | |||||||
\(462\) | −23.7689 | − | 6.99661i | −1.10583 | − | 0.325512i | ||||
\(463\) | 5.87260i | 0.272923i | 0.990645 | + | 0.136461i | \(0.0435730\pi\) | ||||
−0.990645 | + | 0.136461i | \(0.956427\pi\) | |||||||
\(464\) | −20.2592 | + | 22.5001i | −0.940510 | + | 1.04454i | ||||
\(465\) | −4.62359 | + | 6.13123i | −0.214414 | + | 0.284329i | ||||
\(466\) | 29.9600 | − | 3.14893i | 1.38787 | − | 0.145871i | ||||
\(467\) | −10.0206 | − | 3.25590i | −0.463699 | − | 0.150665i | 0.0678444 | − | 0.997696i | \(-0.478388\pi\) |
−0.531544 | + | 0.847031i | \(0.678388\pi\) | |||||||
\(468\) | 27.1177 | + | 36.1725i | 1.25352 | + | 1.67207i | ||||
\(469\) | −1.06024 | − | 1.45930i | −0.0489574 | − | 0.0673840i | ||||
\(470\) | 4.83432 | + | 10.8581i | 0.222991 | + | 0.500845i | ||||
\(471\) | −4.03099 | − | 13.2014i | −0.185738 | − | 0.608287i | ||||
\(472\) | 5.26239 | − | 3.03824i | 0.242221 | − | 0.139847i | ||||
\(473\) | −21.3203 | − | 1.26001i | −0.980309 | − | 0.0579353i | ||||
\(474\) | −35.5418 | + | 59.1043i | −1.63249 | + | 2.71475i | ||||
\(475\) | −6.42048 | + | 7.13067i | −0.294592 | + | 0.327178i | ||||
\(476\) | 16.2864 | + | 11.8327i | 0.746484 | + | 0.542353i | ||||
\(477\) | 9.61016 | + | 14.2693i | 0.440019 | + | 0.653346i | ||||
\(478\) | 0.499573 | + | 0.554832i | 0.0228499 | + | 0.0253774i | ||||
\(479\) | 30.0930 | − | 27.0959i | 1.37498 | − | 1.23804i | 0.433428 | − | 0.901188i | \(-0.357304\pi\) |
0.941557 | − | 0.336854i | \(-0.109363\pi\) | |||||||
\(480\) | 2.67022 | − | 5.72106i | 0.121879 | − | 0.261129i | ||||
\(481\) | −7.10855 | + | 8.74658i | −0.324122 | + | 0.398810i | ||||
\(482\) | −21.4707 | + | 6.97625i | −0.977963 | + | 0.317759i | ||||
\(483\) | 0.0668980 | − | 3.75684i | 0.00304397 | − | 0.170942i | ||||
\(484\) | 0.613337 | − | 45.9708i | 0.0278790 | − | 2.08958i | ||||
\(485\) | 19.1925 | − | 11.0808i | 0.871486 | − | 0.503153i | ||||
\(486\) | −11.3948 | + | 37.0376i | −0.516880 | + | 1.68006i | ||||
\(487\) | −13.3897 | − | 1.40732i | −0.606747 | − | 0.0637717i | −0.203827 | − | 0.979007i | \(-0.565338\pi\) |
−0.402920 | + | 0.915235i | \(0.632005\pi\) | |||||||
\(488\) | 43.6439 | + | 19.4315i | 1.97567 | + | 0.879624i | ||||
\(489\) | 0.918247 | + | 4.73286i | 0.0415246 | + | 0.214027i | ||||
\(490\) | −4.02926 | − | 18.9562i | −0.182023 | − | 0.856352i | ||||
\(491\) | 3.54427 | + | 33.7215i | 0.159951 | + | 1.52183i | 0.720352 | + | 0.693609i | \(0.243980\pi\) |
−0.560401 | + | 0.828222i | \(0.689353\pi\) | |||||||
\(492\) | −27.6613 | + | 36.6809i | −1.24707 | + | 1.65370i | ||||
\(493\) | 5.08322 | + | 15.6446i | 0.228937 | + | 0.704595i | ||||
\(494\) | 64.9158 | − | 32.9314i | 2.92070 | − | 1.48165i | ||||
\(495\) | 15.8442 | + | 11.2692i | 0.712142 | + | 0.506514i | ||||
\(496\) | 10.0395 | + | 5.79631i | 0.450787 | + | 0.260262i | ||||
\(497\) | 21.7497 | + | 4.62303i | 0.975605 | + | 0.207371i | ||||
\(498\) | −3.22512 | + | 1.36764i | −0.144521 | + | 0.0612856i | ||||
\(499\) | 5.15598 | + | 7.09659i | 0.230813 | + | 0.317687i | 0.908677 | − | 0.417501i | \(-0.137094\pi\) |
−0.677863 | + | 0.735188i | \(0.737094\pi\) | |||||||
\(500\) | −49.3825 | + | 10.4966i | −2.20845 | + | 0.469421i | ||||
\(501\) | 10.8946 | − | 9.46384i | 0.486737 | − | 0.422813i | ||||
\(502\) | −33.9521 | + | 24.6677i | −1.51536 | + | 1.10097i | ||||
\(503\) | 3.93296 | − | 37.4196i | 0.175362 | − | 1.66846i | −0.453739 | − | 0.891135i | \(-0.649910\pi\) |
0.629101 | − | 0.777324i | \(-0.283423\pi\) | |||||||
\(504\) | −20.2731 | − | 19.6051i | −0.903036 | − | 0.873280i | ||||
\(505\) | −4.49295 | + | 7.78202i | −0.199934 | + | 0.346295i | ||||
\(506\) | 9.97464 | − | 2.60151i | 0.443427 | − | 0.115651i | ||||
\(507\) | −13.6208 | + | 17.9297i | −0.604923 | + | 0.796284i | ||||
\(508\) | 47.3552 | − | 15.3866i | 2.10105 | − | 0.682671i | ||||
\(509\) | −5.67642 | + | 2.52731i | −0.251603 | + | 0.112021i | −0.528663 | − | 0.848832i | \(-0.677307\pi\) |
0.277060 | + | 0.960853i | \(0.410640\pi\) | |||||||
\(510\) | −13.3900 | − | 19.1372i | −0.592918 | − | 0.847408i | ||||
\(511\) | −27.8368 | + | 5.91689i | −1.23143 | + | 0.261748i | ||||
\(512\) | 43.5922 | + | 14.1640i | 1.92652 | + | 0.625965i | ||||
\(513\) | 37.5800 | + | 19.1980i | 1.65920 | + | 0.847611i | ||||
\(514\) | 6.20990 | − | 59.0832i | 0.273907 | − | 2.60605i | ||||
\(515\) | 9.41168 | + | 28.9662i | 0.414728 | + | 1.27640i | ||||
\(516\) | −39.9500 | − | 24.0235i | −1.75870 | − | 1.05758i | ||||
\(517\) | 2.85759 | + | 7.59532i | 0.125677 | + | 0.334042i | ||||
\(518\) | 6.74146 | − | 11.6766i | 0.296203 | − | 0.513039i | ||||
\(519\) | −3.27866 | + | 3.51346i | −0.143917 | + | 0.154224i | ||||
\(520\) | 37.6928 | + | 6.03847i | 1.65294 | + | 0.264805i | ||||
\(521\) | 18.0945 | + | 24.9049i | 0.792733 | + | 1.09110i | 0.993762 | + | 0.111518i | \(0.0355713\pi\) |
−0.201030 | + | 0.979585i | \(0.564429\pi\) | |||||||
\(522\) | −7.64309 | − | 43.5252i | −0.334529 | − | 1.90505i | ||||
\(523\) | 24.8296 | − | 22.3567i | 1.08572 | − | 0.977589i | 0.0858981 | − | 0.996304i | \(-0.472624\pi\) |
0.999825 | + | 0.0187145i | \(0.00595737\pi\) | |||||||
\(524\) | −75.1610 | − | 33.4638i | −3.28342 | − | 1.46187i | ||||
\(525\) | −0.433954 | + | 3.52402i | −0.0189393 | + | 0.153801i | ||||
\(526\) | −34.2571 | − | 30.8452i | −1.49368 | − | 1.34491i | ||||
\(527\) | 5.45453 | − | 3.14917i | 0.237603 | − | 0.137180i | ||||
\(528\) | 13.9614 | − | 25.8186i | 0.607593 | − | 1.12361i | ||||
\(529\) | −10.7184 | − | 18.5648i | −0.466016 | − | 0.807164i | ||||
\(530\) | 27.2478 | + | 5.79169i | 1.18357 | + | 0.251575i | ||||
\(531\) | −0.470604 | + | 3.33151i | −0.0204225 | + | 0.144575i | ||||
\(532\) | −47.6466 | + | 34.6173i | −2.06574 | + | 1.50085i | ||||
\(533\) | −21.3474 | − | 8.23795i | −0.924659 | − | 0.356825i | ||||
\(534\) | 3.15655 | + | 16.2696i | 0.136597 | + | 0.704055i | ||||
\(535\) | −2.92716 | − | 27.8501i | −0.126552 | − | 1.20406i | ||||
\(536\) | 5.14566 | − | 2.29099i | 0.222259 | − | 0.0989559i | ||||
\(537\) | −6.36806 | + | 27.5389i | −0.274802 | + | 1.18839i | ||||
\(538\) | −54.6257 | −2.35508 | ||||||||
\(539\) | −1.98268 | − | 13.0824i | −0.0854001 | − | 0.563497i | ||||
\(540\) | 19.2266 | + | 37.8331i | 0.827383 | + | 1.62808i | ||||
\(541\) | −10.5703 | − | 32.5321i | −0.454453 | − | 1.39866i | −0.871776 | − | 0.489904i | \(-0.837032\pi\) |
0.417323 | − | 0.908758i | \(-0.362968\pi\) | |||||||
\(542\) | −30.8635 | − | 3.24389i | −1.32570 | − | 0.139337i | ||||
\(543\) | 5.24940 | − | 3.67292i | 0.225273 | − | 0.157620i | ||||
\(544\) | −3.84821 | + | 3.46494i | −0.164990 | + | 0.148558i | ||||
\(545\) | 0.539841 | − | 1.66146i | 0.0231242 | − | 0.0711691i | ||||
\(546\) | 12.6960 | − | 23.7559i | 0.543340 | − | 1.01666i | ||||
\(547\) | 16.4717 | − | 22.6713i | 0.704279 | − | 0.969356i | −0.295623 | − | 0.955305i | \(-0.595527\pi\) |
0.999901 | − | 0.0140516i | \(-0.00447291\pi\) | |||||||
\(548\) | −16.1999 | − | 3.44339i | −0.692025 | − | 0.147094i | ||||
\(549\) | −23.3652 | + | 12.4024i | −0.997202 | + | 0.529322i | ||||
\(550\) | −9.63101 | + | 1.45962i | −0.410668 | + | 0.0622382i | ||||
\(551\) | −48.1243 | −2.05016 | ||||||||
\(552\) | 11.4315 | + | 2.64342i | 0.486559 | + | 0.112511i | ||||
\(553\) | 27.6400 | + | 2.90509i | 1.17537 | + | 0.123537i | ||||
\(554\) | −12.0195 | + | 8.73268i | −0.510660 | + | 0.371016i | ||||
\(555\) | −7.98747 | + | 6.93847i | −0.339049 | + | 0.294521i | ||||
\(556\) | −43.9801 | + | 39.5999i | −1.86517 | + | 1.67941i | ||||
\(557\) | −9.65329 | + | 1.01460i | −0.409023 | + | 0.0429901i | −0.306806 | − | 0.951772i | \(-0.599260\pi\) |
−0.102217 | + | 0.994762i | \(0.532594\pi\) | |||||||
\(558\) | −15.6926 | + | 6.32738i | −0.664320 | + | 0.267859i | ||||
\(559\) | 6.04902 | − | 22.4162i | 0.255846 | − | 0.948106i | ||||
\(560\) | −17.3237 | −0.732059 | ||||||||
\(561\) | −8.35542 | − | 13.5828i | −0.352766 | − | 0.573466i | ||||
\(562\) | −23.6980 | + | 41.0461i | −0.999640 | + | 1.73143i | ||||
\(563\) | −16.0304 | + | 17.8035i | −0.675599 | + | 0.750329i | −0.979295 | − | 0.202440i | \(-0.935113\pi\) |
0.303696 | + | 0.952769i | \(0.401779\pi\) | |||||||
\(564\) | −2.16483 | + | 17.5800i | −0.0911557 | + | 0.740250i | ||||
\(565\) | −0.286335 | + | 0.643119i | −0.0120462 | + | 0.0270562i | ||||
\(566\) | −14.3940 | + | 3.05954i | −0.605024 | + | 0.128602i | ||||
\(567\) | 15.4667 | − | 2.15151i | 0.649541 | − | 0.0903551i | ||||
\(568\) | −28.2414 | + | 63.4312i | −1.18498 | + | 2.66152i | ||||
\(569\) | 13.2348 | − | 5.89251i | 0.554831 | − | 0.247027i | −0.110114 | − | 0.993919i | \(-0.535122\pi\) |
0.664945 | + | 0.746892i | \(0.268455\pi\) | |||||||
\(570\) | 65.3517 | − | 19.9549i | 2.73728 | − | 0.835818i | ||||
\(571\) | − | 25.5624i | − | 1.06976i | −0.844930 | − | 0.534878i | \(-0.820358\pi\) | ||
0.844930 | − | 0.534878i | \(-0.179642\pi\) | |||||||
\(572\) | 48.7983 | + | 10.8038i | 2.04036 | + | 0.451731i | ||||
\(573\) | −8.99218 | + | 4.98031i | −0.375654 | + | 0.208056i | ||||
\(574\) | 26.7743 | + | 5.69105i | 1.11754 | + | 0.237540i | ||||
\(575\) | −0.600835 | − | 1.34950i | −0.0250565 | − | 0.0562779i | ||||
\(576\) | −13.8893 | + | 9.35427i | −0.578723 | + | 0.389761i | ||||
\(577\) | −3.82840 | − | 1.24392i | −0.159378 | − | 0.0517851i | 0.228241 | − | 0.973605i | \(-0.426703\pi\) |
−0.387619 | + | 0.921820i | \(0.626703\pi\) | |||||||
\(578\) | −4.80341 | − | 22.5983i | −0.199795 | − | 0.939964i | ||||
\(579\) | 1.35591 | + | 15.5612i | 0.0563499 | + | 0.646702i | ||||
\(580\) | −39.1534 | − | 28.4466i | −1.62576 | − | 1.18118i | ||||
\(581\) | 1.04908 | + | 0.944594i | 0.0435231 | + | 0.0391884i | ||||
\(582\) | 48.8229 | + | 0.869389i | 2.02377 | + | 0.0360373i | ||||
\(583\) | 18.3381 | + | 5.04503i | 0.759487 | + | 0.208944i | ||||
\(584\) | − | 88.8668i | − | 3.67734i | ||||||
\(585\) | −15.4942 | + | 14.3770i | −0.640605 | + | 0.594414i | ||||
\(586\) | 12.2227 | + | 8.88030i | 0.504914 | + | 0.366842i | ||||
\(587\) | −4.37632 | − | 41.6379i | −0.180630 | − | 1.71858i | −0.591008 | − | 0.806666i | \(-0.701270\pi\) |
0.410378 | − | 0.911916i | \(-0.365397\pi\) | |||||||
\(588\) | 9.41229 | − | 27.3041i | 0.388156 | − | 1.12600i | ||||
\(589\) | 3.83101 | + | 18.0235i | 0.157854 | + | 0.742645i | ||||
\(590\) | 3.20224 | + | 4.40751i | 0.131834 | + | 0.181454i | ||||
\(591\) | 6.17196 | + | 14.5545i | 0.253881 | + | 0.598691i | ||||
\(592\) | 11.8696 | + | 10.6875i | 0.487839 | + | 0.439252i | ||||
\(593\) | 41.5904i | 1.70791i | 0.520346 | + | 0.853956i | \(0.325803\pi\) | ||||
−0.520346 | + | 0.853956i | \(0.674197\pi\) | |||||||
\(594\) | 17.1220 | + | 39.2704i | 0.702523 | + | 1.61128i | ||||
\(595\) | −4.70604 | + | 8.15110i | −0.192929 | + | 0.334162i | ||||
\(596\) | −8.31375 | + | 39.1131i | −0.340545 | + | 1.60214i | ||||
\(597\) | 0.179058 | − | 1.45408i | 0.00732836 | − | 0.0595116i | ||||
\(598\) | 0.566653 | + | 11.1920i | 0.0231722 | + | 0.457674i | ||||
\(599\) | 19.7792 | + | 6.42664i | 0.808154 | + | 0.262585i | 0.683816 | − | 0.729655i | \(-0.260319\pi\) |
0.124339 | + | 0.992240i | \(0.460319\pi\) | |||||||
\(600\) | −10.4821 | − | 3.61341i | −0.427931 | − | 0.147517i | ||||
\(601\) | 7.69996 | − | 0.809298i | 0.314088 | − | 0.0330120i | 0.0538269 | − | 0.998550i | \(-0.482858\pi\) |
0.260261 | + | 0.965538i | \(0.416191\pi\) | |||||||
\(602\) | −2.90325 | + | 27.6226i | −0.118328 | + | 1.12581i | ||||
\(603\) | −0.756638 | + | 3.02564i | −0.0308127 | + | 0.123214i | ||||
\(604\) | 41.0208 | + | 71.0502i | 1.66911 | + | 2.89099i | ||||
\(605\) | 21.4054 | − | 1.96146i | 0.870255 | − | 0.0797448i | ||||
\(606\) | −17.3204 | + | 9.59287i | −0.703592 | + | 0.389684i | ||||
\(607\) | 22.2086 | + | 19.9967i | 0.901418 | + | 0.811641i | 0.982729 | − | 0.185048i | \(-0.0592441\pi\) |
−0.0813111 | + | 0.996689i | \(0.525911\pi\) | |||||||
\(608\) | −6.16177 | − | 13.8396i | −0.249893 | − | 0.561269i | ||||
\(609\) | −14.5910 | + | 10.2091i | −0.591258 | + | 0.413694i | ||||
\(610\) | −13.2361 | + | 40.7364i | −0.535912 | + | 1.64937i | ||||
\(611\) | −8.71586 | + | 1.36462i | −0.352606 | + | 0.0552067i | ||||
\(612\) | −2.40360 | − | 34.7242i | −0.0971598 | − | 1.40364i | ||||
\(613\) | −4.48586 | + | 1.99724i | −0.181182 | + | 0.0806676i | −0.495323 | − | 0.868709i | \(-0.664950\pi\) |
0.314141 | + | 0.949376i | \(0.398284\pi\) | |||||||
\(614\) | 0.872571 | − | 4.10512i | 0.0352141 | − | 0.165669i | ||||
\(615\) | −18.4077 | − | 11.0693i | −0.742270 | − | 0.446356i | ||||
\(616\) | −31.1243 | − | 1.83942i | −1.25403 | − | 0.0741122i | ||||
\(617\) | 11.4631 | + | 19.8547i | 0.461487 | + | 0.799318i | 0.999035 | − | 0.0439144i | \(-0.0139829\pi\) |
−0.537549 | + | 0.843233i | \(0.680650\pi\) | |||||||
\(618\) | −15.1191 | + | 65.3830i | −0.608179 | + | 2.63009i | ||||
\(619\) | −11.3082 | + | 15.5644i | −0.454516 | + | 0.625588i | −0.973360 | − | 0.229281i | \(-0.926363\pi\) |
0.518844 | + | 0.854869i | \(0.326363\pi\) | |||||||
\(620\) | −7.53694 | + | 16.9282i | −0.302691 | + | 0.679855i | ||||
\(621\) | −5.05322 | + | 4.08319i | −0.202779 | + | 0.163853i | ||||
\(622\) | 11.6733 | + | 12.9645i | 0.468056 | + | 0.519828i | ||||
\(623\) | 5.40304 | − | 3.92554i | 0.216468 | − | 0.157273i | ||||
\(624\) | 24.3998 | + | 20.5623i | 0.976773 | + | 0.823152i | ||||
\(625\) | −5.46857 | − | 16.8305i | −0.218743 | − | 0.673221i | ||||
\(626\) | −11.6663 | − | 6.73553i | −0.466278 | − | 0.269206i | ||||
\(627\) | 45.3459 | − | 10.9684i | 1.81094 | − | 0.438034i | ||||
\(628\) | −16.6538 | − | 28.8453i | −0.664560 | − | 1.15105i | ||||
\(629\) | 8.25307 | − | 2.68158i | 0.329071 | − | 0.106922i | ||||
\(630\) | 15.5811 | − | 19.9139i | 0.620764 | − | 0.793391i | ||||
\(631\) | 6.24569 | − | 14.0281i | 0.248637 | − | 0.558448i | −0.745509 | − | 0.666496i | \(-0.767793\pi\) |
0.994146 | + | 0.108048i | \(0.0344600\pi\) | |||||||
\(632\) | −26.8183 | + | 82.5383i | −1.06678 | + | 3.28320i | ||||
\(633\) | 35.5664 | − | 30.8954i | 1.41364 | − | 1.22798i | ||||
\(634\) | 76.5198 | − | 8.04256i | 3.03899 | − | 0.319411i | ||||
\(635\) | 9.46876 | + | 21.2672i | 0.375756 | + | 0.843962i | ||||
\(636\) | 30.3511 | + | 28.3229i | 1.20350 | + | 1.12307i | ||||
\(637\) | 14.3634 | + | 0.778287i | 0.569097 | + | 0.0308369i | ||||
\(638\) | −37.7617 | − | 30.9981i | −1.49500 | − | 1.22723i | ||||
\(639\) | −18.0254 | − | 33.9585i | −0.713075 | − | 1.34338i | ||||
\(640\) | −7.15320 | + | 33.6531i | −0.282755 | + | 1.33026i | ||||
\(641\) | −17.8638 | − | 1.87756i | −0.705576 | − | 0.0741590i | −0.255057 | − | 0.966926i | \(-0.582094\pi\) |
−0.450519 | + | 0.892767i | \(0.648761\pi\) | |||||||
\(642\) | 26.0963 | − | 55.9124i | 1.02994 | − | 2.20669i | ||||
\(643\) | −0.992845 | − | 4.67097i | −0.0391540 | − | 0.184205i | 0.954225 | − | 0.299090i | \(-0.0966832\pi\) |
−0.993379 | + | 0.114885i | \(0.963350\pi\) | |||||||
\(644\) | −1.88512 | − | 8.86877i | −0.0742840 | − | 0.349479i | ||||
\(645\) | 9.21802 | − | 19.7500i | 0.362959 | − | 0.777654i | ||||
\(646\) | −55.7367 | − | 5.85816i | −2.19293 | − | 0.230486i | ||||
\(647\) | 4.57960 | − | 21.5453i | 0.180043 | − | 0.847034i | −0.791685 | − | 0.610929i | \(-0.790796\pi\) |
0.971728 | − | 0.236104i | \(-0.0758708\pi\) | |||||||
\(648\) | −3.46995 | + | 48.6388i | −0.136312 | + | 1.91071i | ||||
\(649\) | 2.00503 | + | 3.13304i | 0.0787044 | + | 0.122982i | ||||
\(650\) | 0.572962 | − | 10.5741i | 0.0224734 | − | 0.414749i | ||||
\(651\) | 4.98505 | + | 4.65191i | 0.195379 | + | 0.182323i | ||||
\(652\) | 4.73182 | + | 10.6278i | 0.185312 | + | 0.416219i | ||||
\(653\) | −22.1577 | + | 2.32886i | −0.867096 | + | 0.0911355i | −0.527621 | − | 0.849480i | \(-0.676916\pi\) |
−0.339475 | + | 0.940615i | \(0.610249\pi\) | |||||||
\(654\) | 2.90595 | − | 2.52431i | 0.113631 | − | 0.0987082i | ||||
\(655\) | 11.8868 | − | 36.5837i | 0.464454 | − | 1.42944i | ||||
\(656\) | −13.1888 | + | 29.6226i | −0.514938 | + | 1.15657i | ||||
\(657\) | 38.7536 | + | 30.3215i | 1.51192 | + | 1.18296i | ||||
\(658\) | 10.0369 | − | 3.26118i | 0.391279 | − | 0.127134i | ||||
\(659\) | −11.3425 | − | 19.6458i | −0.441841 | − | 0.765291i | 0.555985 | − | 0.831192i | \(-0.312341\pi\) |
−0.997826 | + | 0.0659012i | \(0.979008\pi\) | |||||||
\(660\) | 43.3764 | + | 17.8806i | 1.68842 | + | 0.696000i | ||||
\(661\) | 21.8853 | + | 12.6355i | 0.851239 | + | 0.491463i | 0.861069 | − | 0.508489i | \(-0.169796\pi\) |
−0.00982971 | + | 0.999952i | \(0.503129\pi\) | |||||||
\(662\) | 17.6457 | + | 54.3078i | 0.685819 | + | 2.11073i | ||||
\(663\) | 16.3032 | − | 5.89469i | 0.633165 | − | 0.228931i | ||||
\(664\) | −3.56629 | + | 2.59106i | −0.138399 | + | 0.100553i | ||||
\(665\) | −18.4248 | − | 20.4629i | −0.714485 | − | 0.793516i | ||||
\(666\) | −22.9611 | + | 4.03201i | −0.889725 | + | 0.156237i | ||||
\(667\) | 3.01344 | − | 6.76830i | 0.116681 | − | 0.262070i | ||||
\(668\) | 20.4685 | − | 28.1725i | 0.791951 | − | 1.09003i | ||||
\(669\) | −4.21539 | + | 18.2296i | −0.162976 | + | 0.704797i | ||||
\(670\) | 2.52501 | + | 4.37345i | 0.0975497 | + | 0.168961i | ||||
\(671\) | −10.6623 | + | 27.2318i | −0.411612 | + | 1.05127i | ||||
\(672\) | −4.80415 | − | 2.88892i | −0.185324 | − | 0.111443i | ||||
\(673\) | 0.390851 | − | 1.83881i | 0.0150662 | − | 0.0708810i | −0.969972 | − | 0.243216i | \(-0.921798\pi\) |
0.985038 | + | 0.172335i | \(0.0551311\pi\) | |||||||
\(674\) | 5.59437 | − | 2.49077i | 0.215487 | − | 0.0959410i | ||||
\(675\) | 5.15228 | − | 3.33820i | 0.198311 | − | 0.128487i | ||||
\(676\) | −22.2755 | + | 49.5579i | −0.856749 | + | 1.90607i | ||||
\(677\) | 0.586138 | − | 1.80395i | 0.0225271 | − | 0.0693313i | −0.939161 | − | 0.343477i | \(-0.888395\pi\) |
0.961688 | + | 0.274146i | \(0.0883952\pi\) | |||||||
\(678\) | −1.27094 | + | 0.889254i | −0.0488101 | + | 0.0341516i | ||||
\(679\) | −8.00358 | − | 17.9763i | −0.307149 | − | 0.689868i | ||||
\(680\) | −21.8416 | − | 19.6662i | −0.837586 | − | 0.754166i | ||||
\(681\) | −29.0939 | + | 16.1136i | −1.11488 | + | 0.617475i | ||||
\(682\) | −8.60333 | + | 16.6101i | −0.329438 | + | 0.636035i | ||||
\(683\) | 17.5326 | + | 30.3674i | 0.670867 | + | 1.16198i | 0.977659 | + | 0.210199i | \(0.0674112\pi\) |
−0.306792 | + | 0.951777i | \(0.599255\pi\) | |||||||
\(684\) | 98.7883 | + | 24.7045i | 3.77727 | + | 0.944602i | ||||
\(685\) | 0.809396 | − | 7.70089i | 0.0309254 | − | 0.294236i | ||||
\(686\) | −47.1399 | + | 4.95461i | −1.79981 | + | 0.189168i | ||||
\(687\) | −12.5212 | − | 4.31634i | −0.477715 | − | 0.164678i | ||||
\(688\) | −31.2922 | − | 10.1675i | −1.19300 | − | 0.387630i | ||||
\(689\) | −9.41949 | + | 18.4060i | −0.358854 | + | 0.701215i | ||||
\(690\) | −1.28569 | + | 10.4407i | −0.0489453 | + | 0.397472i | ||||
\(691\) | 3.35778 | − | 15.7971i | 0.127736 | − | 0.600950i | −0.866985 | − | 0.498334i | \(-0.833945\pi\) |
0.994721 | − | 0.102616i | \(-0.0327213\pi\) | |||||||
\(692\) | −5.79812 | + | 10.0426i | −0.220411 | + | 0.381764i | ||||
\(693\) | 11.4218 | − | 12.9452i | 0.433879 | − | 0.491749i | ||||
\(694\) | − | 60.7495i | − | 2.30602i | ||||||
\(695\) | −20.5625 | − | 18.5145i | −0.779979 | − | 0.702296i | ||||
\(696\) | −21.7099 | − | 51.1953i | −0.822911 | − | 1.94055i | ||||
\(697\) | 10.3552 | + | 14.2527i | 0.392230 | + | 0.539858i | ||||
\(698\) | −1.54839 | − | 7.28458i | −0.0586073 | − | 0.275725i | ||||
\(699\) | −6.84063 | + | 19.8439i | −0.258736 | + | 0.750567i | ||||
\(700\) | 0.895590 | + | 8.52097i | 0.0338501 | + | 0.322062i | ||||
\(701\) | 25.3461 | + | 18.4150i | 0.957309 | + | 0.695526i | 0.952524 | − | 0.304463i | \(-0.0984770\pi\) |
0.00478459 | + | 0.999989i | \(0.498477\pi\) | |||||||
\(702\) | −45.5822 | + | 9.55413i | −1.72039 | + | 0.360597i | ||||
\(703\) | 25.3873i | 0.957501i | ||||||||
\(704\) | −4.91069 | + | 17.8498i | −0.185079 | + | 0.672740i | ||||
\(705\) | −8.28011 | − | 0.147444i | −0.311847 | − | 0.00555306i | ||||
\(706\) | −33.0206 | − | 29.7319i | −1.24275 | − | 1.11897i | ||||
\(707\) | 6.45490 | + | 4.68976i | 0.242762 | + | 0.176377i | ||||
\(708\) | 0.704766 | + | 8.08829i | 0.0264867 | + | 0.303977i | ||||
\(709\) | −6.47644 | − | 30.4693i | −0.243228 | − | 1.14430i | −0.914973 | − | 0.403515i | \(-0.867788\pi\) |
0.671745 | − | 0.740782i | \(-0.265545\pi\) | |||||||
\(710\) | −59.2055 | − | 19.2370i | −2.22194 | − | 0.721953i | ||||
\(711\) | −26.8433 | − | 39.8573i | −1.00670 | − | 1.49477i | ||||
\(712\) | 8.48239 | + | 19.0518i | 0.317891 | + | 0.713995i | ||||
\(713\) | −2.77475 | − | 0.589791i | −0.103915 | − | 0.0220878i | ||||
\(714\) | −18.1418 | + | 10.0478i | −0.678940 | + | 0.376031i | ||||
\(715\) | −2.63872 | + | 23.2182i | −0.0986824 | + | 0.868311i | ||||
\(716\) | 68.2064i | 2.54899i | ||||||||
\(717\) | −0.497523 | + | 0.151917i | −0.0185803 | + | 0.00567343i | ||||
\(718\) | −47.9412 | + | 21.3448i | −1.78915 | + | 0.796581i | ||||
\(719\) | 20.1967 | − | 45.3626i | 0.753211 | − | 1.69174i | 0.0315417 | − | 0.999502i | \(-0.489958\pi\) |
0.721670 | − | 0.692238i | \(-0.243375\pi\) | |||||||
\(720\) | 19.2374 | + | 22.9591i | 0.716937 | + | 0.855634i | ||||
\(721\) | 26.4521 | − | 5.62256i | 0.985127 | − | 0.209395i | ||||
\(722\) | 47.4772 | − | 106.636i | 1.76692 | − | 3.96857i | ||||
\(723\) | 1.92247 | − | 15.6118i | 0.0714974 | − | 0.580611i | ||||
\(724\) | 10.3447 | − | 11.4889i | 0.384457 | − | 0.426983i | ||||
\(725\) | −3.50054 | + | 6.06311i | −0.130007 | + | 0.225178i | ||||
\(726\) | 42.6466 | + | 20.6020i | 1.58276 | + | 0.764611i | ||||
\(727\) | −37.0988 | −1.37592 | −0.687960 | − | 0.725749i | \(-0.741494\pi\) | ||||
−0.687960 | + | 0.725749i | \(0.741494\pi\) | |||||||
\(728\) | 8.83062 | − | 32.7242i | 0.327285 | − | 1.21284i | ||||
\(729\) | −20.0267 | − | 18.1088i | −0.741731 | − | 0.670698i | ||||
\(730\) | 79.2386 | − | 8.32831i | 2.93275 | − | 0.308245i | ||||
\(731\) | −13.2846 | + | 11.9615i | −0.491348 | + | 0.442412i | ||||
\(732\) | −48.1895 | + | 41.8607i | −1.78114 | + | 1.54722i | ||||
\(733\) | −35.6045 | + | 25.8682i | −1.31508 | + | 0.955463i | −0.315103 | + | 0.949057i | \(0.602039\pi\) |
−0.999979 | + | 0.00640606i | \(0.997961\pi\) | |||||||
\(734\) | −60.2459 | − | 6.33210i | −2.22372 | − | 0.233722i | ||||
\(735\) | 13.1558 | + | 3.04213i | 0.485259 | + | 0.112211i | ||||
\(736\) | 2.33226 | 0.0859683 | ||||||||
\(737\) | 1.54482 | + | 3.08254i | 0.0569042 | + | 0.113547i | ||||
\(738\) | −22.1897 | − | 41.8037i | −0.816814 | − | 1.53881i | ||||
\(739\) | 22.2273 | + | 4.72455i | 0.817643 | + | 0.173795i | 0.597703 | − | 0.801718i | \(-0.296080\pi\) |
0.219941 | + | 0.975513i | \(0.429414\pi\) | |||||||
\(740\) | −15.0066 | + | 20.6548i | −0.551654 | + | 0.759287i | ||||
\(741\) | 1.66233 | + | 50.6906i | 0.0610673 | + | 1.86216i | ||||
\(742\) | 7.64327 | − | 23.5236i | 0.280593 | − | 0.863577i | ||||
\(743\) | −17.4775 | + | 15.7368i | −0.641187 | + | 0.577327i | −0.924257 | − | 0.381772i | \(-0.875314\pi\) |
0.283070 | + | 0.959099i | \(0.408647\pi\) | |||||||
\(744\) | −17.4454 | + | 12.2063i | −0.639579 | + | 0.447503i | ||||
\(745\) | −18.5931 | − | 1.95421i | −0.681198 | − | 0.0715968i | ||||
\(746\) | −13.5773 | − | 41.7866i | −0.497100 | − | 1.52992i | ||||
\(747\) | 0.0869002 | − | 2.43928i | 0.00317951 | − | 0.0892488i | ||||
\(748\) | −27.0280 | − | 27.3910i | −0.988241 | − | 1.00151i | ||||
\(749\) | −24.8647 | −0.908535 | ||||||||
\(750\) | 11.7173 | − | 50.6719i | 0.427856 | − | 1.85028i | ||||
\(751\) | 48.2048 | − | 21.4622i | 1.75902 | − | 0.783165i | 0.769519 | − | 0.638624i | \(-0.220496\pi\) |
0.989499 | − | 0.144542i | \(-0.0461708\pi\) | |||||||
\(752\) | 1.30679 | + | 12.4333i | 0.0476539 | + | 0.453397i | ||||
\(753\) | −5.56934 | − | 28.7057i | −0.202958 | − | 1.04609i | ||||
\(754\) | 41.3343 | − | 33.3507i | 1.50531 | − | 1.21456i | ||||
\(755\) | −31.0321 | + | 22.5461i | −1.12937 | + | 0.820538i | ||||
\(756\) | 35.1929 | − | 13.4667i | 1.27995 | − | 0.489779i | ||||
\(757\) | 12.9771 | + | 2.75838i | 0.471663 | + | 0.100255i | 0.437610 | − | 0.899165i | \(-0.355825\pi\) |
0.0340529 | + | 0.999420i | \(0.489159\pi\) | |||||||
\(758\) | 6.75895 | + | 11.7068i | 0.245496 | + | 0.425212i | ||||
\(759\) | −1.29685 | + | 7.06436i | −0.0470727 | + | 0.256420i | ||||
\(760\) | 74.4644 | − | 42.9920i | 2.70111 | − | 1.55948i | ||||
\(761\) | −23.9502 | − | 21.5648i | −0.868194 | − | 0.781725i | 0.109007 | − | 0.994041i | \(-0.465233\pi\) |
−0.977201 | + | 0.212316i | \(0.931899\pi\) | |||||||
\(762\) | −6.26914 | + | 50.9100i | −0.227107 | + | 1.84427i | ||||
\(763\) | −1.41705 | − | 0.630910i | −0.0513005 | − | 0.0228405i | ||||
\(764\) | −18.4333 | + | 16.5974i | −0.666892 | + | 0.600472i | ||||
\(765\) | 16.0286 | − | 2.81464i | 0.579513 | − | 0.101763i | ||||
\(766\) | 6.92200 | + | 9.52732i | 0.250102 | + | 0.344236i | ||||
\(767\) | −3.77771 | + | 1.44245i | −0.136405 | + | 0.0520838i | ||||
\(768\) | −38.5279 | + | 41.2870i | −1.39026 | + | 1.48982i | ||||
\(769\) | 23.1487 | − | 40.0947i | 0.834762 | − | 1.44585i | −0.0594614 | − | 0.998231i | \(-0.518938\pi\) |
0.894224 | − | 0.447620i | \(-0.147728\pi\) | |||||||
\(770\) | −1.27674 | − | 27.9245i | −0.0460106 | − | 1.00633i | ||||
\(771\) | 35.4737 | + | 21.3317i | 1.27755 | + | 0.768243i | ||||
\(772\) | 11.6476 | + | 35.8476i | 0.419206 | + | 1.29018i | ||||
\(773\) | 4.59708 | − | 43.7383i | 0.165346 | − | 1.57316i | −0.525905 | − | 0.850543i | \(-0.676273\pi\) |
0.691250 | − | 0.722615i | \(-0.257060\pi\) | |||||||
\(774\) | 39.8321 | − | 26.8264i | 1.43174 | − | 0.964254i | ||||
\(775\) | 2.54942 | + | 0.828356i | 0.0915778 | + | 0.0297554i | ||||
\(776\) | 60.1036 | − | 12.7754i | 2.15759 | − | 0.458611i | ||||
\(777\) | 5.38567 | + | 7.69730i | 0.193210 | + | 0.276139i | ||||
\(778\) | −72.2761 | + | 32.1794i | −2.59122 | + | 1.15369i | ||||
\(779\) | −49.0177 | + | 15.9268i | −1.75624 | + | 0.570637i | ||||
\(780\) | −28.6111 | + | 42.2239i | −1.02444 | + | 1.51186i | ||||
\(781\) | −39.5781 | − | 15.4963i | −1.41622 | − | 0.554502i | ||||
\(782\) | 4.31401 | − | 7.47209i | 0.154269 | − | 0.267201i | ||||
\(783\) | 29.7330 | + | 8.00058i | 1.06257 | + | 0.285917i | ||||
\(784\) | 2.13074 | − | 20.2727i | 0.0760980 | − | 0.724024i | ||||
\(785\) | 12.5985 | − | 9.15338i | 0.449661 | − | 0.326698i | ||||
\(786\) | 63.9861 | − | 55.5827i | 2.28231 | − | 1.98257i | ||||
\(787\) | 8.73971 | − | 1.85768i | 0.311537 | − | 0.0662193i | −0.0494898 | − | 0.998775i | \(-0.515760\pi\) |
0.361027 | + | 0.932555i | \(0.382426\pi\) | |||||||
\(788\) | 22.4229 | + | 30.8625i | 0.798783 | + | 1.09943i | ||||
\(789\) | 29.5699 | − | 12.5394i | 1.05272 | − | 0.446415i | ||||
\(790\) | −76.1091 | − | 16.1775i | −2.70784 | − | 0.575569i | ||||
\(791\) | 0.541331 | + | 0.312537i | 0.0192475 | + | 0.0111125i | ||||
\(792\) | 32.1248 | + | 43.2916i | 1.14151 | + | 1.53830i | ||||
\(793\) | −26.6326 | − | 17.3626i | −0.945750 | − | 0.616564i | ||||
\(794\) | −9.83329 | − | 30.2638i | −0.348971 | − | 1.07402i | ||||
\(795\) | −11.6862 | + | 15.4968i | −0.414468 | + | 0.549615i | ||||
\(796\) | −0.369538 | − | 3.51592i | −0.0130979 | − | 0.124618i | ||||
\(797\) | −1.25227 | − | 5.89146i | −0.0443577 | − | 0.208686i | 0.950387 | − | 0.311069i | \(-0.100687\pi\) |
−0.994745 | + | 0.102382i | \(0.967354\pi\) | |||||||
\(798\) | −11.5557 | − | 59.5608i | −0.409068 | − | 2.10843i | ||||
\(799\) | 6.20509 | + | 2.76268i | 0.219520 | + | 0.0977367i | ||||
\(800\) | −2.19183 | − | 0.230371i | −0.0774930 | − | 0.00814484i | ||||
\(801\) | −11.2024 | − | 2.80145i | −0.395818 | − | 0.0989843i | ||||
\(802\) | 2.14627 | − | 1.23915i | 0.0757873 | − | 0.0437558i | ||||
\(803\) | 54.3425 | − | 2.48460i | 1.91771 | − | 0.0876798i | ||||
\(804\) | −0.133992 | + | 7.52468i | −0.00472553 | + | 0.265375i | ||||
\(805\) | 4.03166 | − | 1.30997i | 0.142097 | − | 0.0461703i | ||||
\(806\) | −15.7810 | − | 12.8256i | −0.555861 | − | 0.451762i | ||||
\(807\) | 16.0974 | − | 34.4893i | 0.566655 | − | 1.21408i | ||||
\(808\) | −18.5153 | + | 16.6712i | −0.651366 | + | 0.586492i | ||||
\(809\) | −16.9177 | − | 18.7890i | −0.594793 | − | 0.660585i | 0.368314 | − | 0.929701i | \(-0.379935\pi\) |
−0.963108 | + | 0.269117i | \(0.913268\pi\) | |||||||
\(810\) | −43.6942 | + | 1.46427i | −1.53526 | + | 0.0514493i | ||||
\(811\) | 15.6718 | + | 11.3862i | 0.550310 | + | 0.399824i | 0.827900 | − | 0.560876i | \(-0.189536\pi\) |
−0.277590 | + | 0.960700i | \(0.589536\pi\) | |||||||
\(812\) | −28.7537 | + | 31.9342i | −1.00906 | + | 1.12067i | ||||
\(813\) | 11.1431 | − | 18.5305i | 0.390807 | − | 0.649894i | ||||
\(814\) | −16.3526 | + | 19.9207i | −0.573160 | + | 0.698218i | ||||
\(815\) | −4.71047 | + | 2.71959i | −0.165001 | + | 0.0952632i | ||||
\(816\) | −7.17451 | − | 23.4963i | −0.251158 | − | 0.822535i | ||||
\(817\) | −21.2714 | − | 47.7763i | −0.744191 | − | 1.67148i | ||||
\(818\) | 48.6284 | + | 66.9312i | 1.70025 | + | 2.34019i | ||||
\(819\) | 11.2575 | + | 15.0165i | 0.393370 | + | 0.524718i | ||||
\(820\) | −49.2947 | − | 16.0168i | −1.72144 | − | 0.559331i | ||||
\(821\) | 49.8514 | − | 5.23959i | 1.73982 | − | 0.182863i | 0.819252 | − | 0.573434i | \(-0.194389\pi\) |
0.920573 | + | 0.390571i | \(0.127722\pi\) | |||||||
\(822\) | 10.2727 | − | 13.6223i | 0.358301 | − | 0.475133i | ||||
\(823\) | −23.1985 | + | 25.7645i | −0.808649 | + | 0.898095i | −0.996456 | − | 0.0841104i | \(-0.973195\pi\) |
0.187808 | + | 0.982206i | \(0.439862\pi\) | |||||||
\(824\) | 84.4462i | 2.94182i | ||||||||
\(825\) | 1.91655 | − | 6.51090i | 0.0667258 | − | 0.226680i | ||||
\(826\) | 4.18925 | − | 2.41867i | 0.145763 | − | 0.0841561i | ||||
\(827\) | −19.2827 | + | 6.26532i | −0.670524 | + | 0.217866i | −0.624442 | − | 0.781071i | \(-0.714674\pi\) |
−0.0460820 | + | 0.998938i | \(0.514674\pi\) | |||||||
\(828\) | −9.66041 | + | 12.3468i | −0.335722 | + | 0.429082i | ||||
\(829\) | 2.46930 | + | 23.4938i | 0.0857624 | + | 0.815975i | 0.949865 | + | 0.312659i | \(0.101220\pi\) |
−0.864103 | + | 0.503315i | \(0.832113\pi\) | |||||||
\(830\) | −2.64456 | − | 2.93708i | −0.0917939 | − | 0.101947i | ||||
\(831\) | −1.97162 | − | 10.1622i | −0.0683948 | − | 0.352523i | ||||
\(832\) | −17.9159 | − | 9.16867i | −0.621124 | − | 0.317866i | ||||
\(833\) | −8.95982 | − | 6.50969i | −0.310439 | − | 0.225547i | ||||
\(834\) | −17.8045 | − | 58.3091i | −0.616518 | − | 2.01908i | ||||
\(835\) | 14.0999 | + | 8.14061i | 0.487949 | + | 0.281717i | ||||
\(836\) | 100.646 | − | 50.4390i | 3.48092 | − | 1.74447i | ||||
\(837\) | 0.629430 | − | 11.7725i | 0.0217563 | − | 0.406917i | ||||
\(838\) | −14.1272 | + | 15.6899i | −0.488018 | + | 0.541998i | ||||
\(839\) | 0.172878 | − | 1.64483i | 0.00596841 | − | 0.0567857i | −0.991132 | − | 0.132879i | \(-0.957578\pi\) |
0.997101 | + | 0.0760930i | \(0.0242446\pi\) | |||||||
\(840\) | 13.4569 | − | 28.8318i | 0.464306 | − | 0.994793i | ||||
\(841\) | −5.97977 | + | 1.27104i | −0.206199 | + | 0.0438290i | ||||
\(842\) | 29.8692 | + | 33.1732i | 1.02936 | + | 1.14322i | ||||
\(843\) | −18.9320 | − | 27.0580i | −0.652054 | − | 0.931927i | ||||
\(844\) | 66.8211 | − | 91.9714i | 2.30008 | − | 3.16579i | ||||
\(845\) | −24.1320 | − | 7.93567i | −0.830166 | − | 0.272995i | ||||
\(846\) | −15.4677 | − | 9.68044i | −0.531791 | − | 0.332820i | ||||
\(847\) | 0.254618 | − | 19.0841i | 0.00874877 | − | 0.655737i | ||||
\(848\) | 25.3751 | + | 14.6503i | 0.871383 | + | 0.503093i | ||||
\(849\) | 2.30998 | − | 9.98960i | 0.0792784 | − | 0.342842i | ||||
\(850\) | −4.79232 | + | 6.59606i | −0.164375 | + | 0.226243i | ||||
\(851\) | −3.57052 | − | 1.58970i | −0.122396 | − | 0.0544942i | ||||
\(852\) | −60.8396 | − | 70.0377i | −2.08433 | − | 2.39945i | ||||
\(853\) | 2.92302 | − | 8.99614i | 0.100082 | − | 0.308022i | −0.888462 | − | 0.458949i | \(-0.848226\pi\) |
0.988545 | + | 0.150927i | \(0.0482259\pi\) | |||||||
\(854\) | 34.7438 | + | 15.4689i | 1.18891 | + | 0.529335i | ||||
\(855\) | −6.65918 | + | 47.1418i | −0.227739 | + | 1.61222i | ||||
\(856\) | 16.1431 | − | 75.9472i | 0.551759 | − | 2.59582i | ||||
\(857\) | −37.7901 | −1.29088 | −0.645442 | − | 0.763809i | \(-0.723327\pi\) | ||||
−0.645442 | + | 0.763809i | \(0.723327\pi\) | |||||||
\(858\) | −31.3468 | + | 40.8461i | −1.07016 | + | 1.39446i | ||||
\(859\) | 37.7585 | 1.28830 | 0.644152 | − | 0.764897i | \(-0.277210\pi\) | ||||
0.644152 | + | 0.764897i | \(0.277210\pi\) | |||||||
\(860\) | 10.9347 | − | 51.4439i | 0.372872 | − | 1.75422i | ||||
\(861\) | −11.4832 | + | 15.2275i | −0.391346 | + | 0.518953i | ||||
\(862\) | 18.9179 | + | 8.42277i | 0.644345 | + | 0.286881i | ||||
\(863\) | 11.7400 | − | 36.1319i | 0.399634 | − | 1.22995i | −0.525660 | − | 0.850695i | \(-0.676182\pi\) |
0.925294 | − | 0.379251i | \(-0.123818\pi\) | |||||||
\(864\) | 1.50617 | + | 9.57499i | 0.0512410 | + | 0.325748i | ||||
\(865\) | −4.95298 | − | 2.20521i | −0.168406 | − | 0.0749793i | ||||
\(866\) | −43.0591 | + | 59.2658i | −1.46321 | + | 2.01393i | ||||
\(867\) | 15.6835 | + | 3.62662i | 0.532638 | + | 0.123167i | ||||
\(868\) | 14.2489 | + | 8.22663i | 0.483641 | + | 0.279230i | ||||
\(869\) | −51.2224 | − | 14.0919i | −1.73760 | − | 0.478034i | ||||
\(870\) | 43.6140 | − | 24.1556i | 1.47865 | − | 0.818951i | ||||
\(871\) | −3.62234 | + | 0.963723i | −0.122738 | + | 0.0326545i | ||||
\(872\) | 2.84707 | − | 3.91865i | 0.0964138 | − | 0.132702i | ||||
\(873\) | −14.9363 | + | 30.5693i | −0.505517 | + | 1.03461i | ||||
\(874\) | 16.8900 | + | 18.7583i | 0.571313 | + | 0.634508i | ||||
\(875\) | −20.5004 | + | 4.35749i | −0.693040 | + | 0.147310i | ||||
\(876\) | 107.595 | + | 50.2183i | 3.63528 | + | 1.69672i | ||||
\(877\) | −5.03980 | + | 47.9505i | −0.170182 | + | 1.61917i | 0.492529 | + | 0.870296i | \(0.336073\pi\) |
−0.662711 | + | 0.748876i | \(0.730594\pi\) | |||||||
\(878\) | 46.2612 | − | 51.3782i | 1.56124 | − | 1.73393i | ||||
\(879\) | −9.20864 | + | 5.10020i | −0.310600 | + | 0.172025i | ||||
\(880\) | 32.6716 | + | 5.39831i | 1.10136 | + | 0.181977i | ||||
\(881\) | 6.99483 | + | 4.03847i | 0.235662 | + | 0.136059i | 0.613181 | − | 0.789942i | \(-0.289890\pi\) |
−0.377519 | + | 0.926002i | \(0.623223\pi\) | |||||||
\(882\) | 21.3875 | + | 20.6827i | 0.720153 | + | 0.696424i | ||||
\(883\) | −11.4739 | − | 8.33630i | −0.386128 | − | 0.280539i | 0.377739 | − | 0.925912i | \(-0.376702\pi\) |
−0.763867 | + | 0.645373i | \(0.776702\pi\) | |||||||
\(884\) | 35.1246 | − | 22.7217i | 1.18137 | − | 0.764215i | ||||
\(885\) | −3.72644 | + | 0.722986i | −0.125263 | + | 0.0243029i | ||||
\(886\) | 36.6816 | + | 40.7390i | 1.23234 | + | 1.36865i | ||||
\(887\) | 1.33294 | + | 12.6821i | 0.0447557 | + | 0.425822i | 0.993842 | + | 0.110806i | \(0.0353432\pi\) |
−0.949086 | + | 0.315016i | \(0.897990\pi\) | |||||||
\(888\) | −27.0074 | + | 11.4527i | −0.906309 | + | 0.384329i | ||||
\(889\) | 19.6588 | − | 6.38752i | 0.659334 | − | 0.214231i | ||||
\(890\) | −16.1927 | + | 9.34884i | −0.542779 | + | 0.313374i | ||||
\(891\) | −29.8399 | − | 0.762012i | −0.999674 | − | 0.0255284i | ||||
\(892\) | 45.1499i | 1.51173i | ||||||||
\(893\) | −13.2965 | + | 14.7672i | −0.444949 | + | 0.494166i | ||||
\(894\) | −32.8899 | − | 24.8024i | −1.10000 | − | 0.829517i | ||||
\(895\) | −31.7145 | + | 3.33333i | −1.06010 | + | 0.111421i | ||||
\(896\) | 29.0535 | + | 9.44004i | 0.970608 | + | 0.315370i | ||||
\(897\) | −7.23331 | − | 2.94034i | −0.241513 | − | 0.0981751i | ||||
\(898\) | −9.65580 | − | 13.2901i | −0.322218 | − | 0.443495i | ||||
\(899\) | 5.46834 | + | 12.2821i | 0.182379 | + | 0.409631i | ||||
\(900\) | 10.2983 | − | 10.6492i | 0.343277 | − | 0.354973i | ||||
\(901\) | 13.7864 | − | 7.95961i | 0.459293 | − | 0.265173i | ||||
\(902\) | −48.7215 | − | 19.0763i | −1.62225 | − | 0.635171i | ||||
\(903\) | −16.5846 | − | 9.97301i | −0.551903 | − | 0.331881i | ||||
\(904\) | −1.30607 | + | 1.45054i | −0.0434394 | + | 0.0482443i | ||||
\(905\) | 5.84767 | + | 4.24858i | 0.194383 | + | 0.141228i | ||||
\(906\) | −84.1981 | + | 7.33653i | −2.79729 | + | 0.243740i | ||||
\(907\) | 5.65869 | + | 6.28461i | 0.187894 | + | 0.208677i | 0.829731 | − | 0.558164i | \(-0.188494\pi\) |
−0.641837 | + | 0.766841i | \(0.721827\pi\) | |||||||
\(908\) | −59.6401 | + | 53.7002i | −1.97923 | + | 1.78210i | ||||
\(909\) | −0.952638 | − | 13.7625i | −0.0315970 | − | 0.456474i | ||||
\(910\) | 30.0063 | + | 4.80707i | 0.994698 | + | 0.159353i | ||||
\(911\) | −1.98389 | + | 0.644606i | −0.0657294 | + | 0.0213568i | −0.341697 | − | 0.939810i | \(-0.611002\pi\) |
0.275968 | + | 0.961167i | \(0.411002\pi\) | |||||||
\(912\) | 71.8614 | + | 1.27964i | 2.37957 | + | 0.0423730i | ||||
\(913\) | −1.68416 | − | 2.10836i | −0.0557375 | − | 0.0697767i | ||||
\(914\) | 38.4119 | − | 22.1771i | 1.27055 | − | 0.733553i | ||||
\(915\) | −21.8194 | − | 20.3613i | −0.721329 | − | 0.673124i | ||||
\(916\) | −31.7842 | − | 3.34066i | −1.05018 | − | 0.110378i | ||||
\(917\) | −31.2020 | − | 13.8920i | −1.03038 | − | 0.458755i | ||||
\(918\) | 33.4623 | + | 12.8855i | 1.10442 | + | 0.425285i | ||||
\(919\) | −2.37682 | − | 11.1821i | −0.0784041 | − | 0.368862i | 0.921401 | − | 0.388614i | \(-0.127046\pi\) |
−0.999805 | + | 0.0197513i | \(0.993713\pi\) | |||||||
\(920\) | 1.38369 | + | 13.1649i | 0.0456188 | + | 0.434033i | ||||
\(921\) | 2.33474 | + | 1.76064i | 0.0769322 | + | 0.0580150i | ||||
\(922\) | 26.6761 | + | 82.1007i | 0.878532 | + | 2.70384i | ||||
\(923\) | 25.2345 | − | 38.7073i | 0.830602 | − | 1.27407i | ||||
\(924\) | 19.8153 | − | 36.6440i | 0.651874 | − | 1.20550i | ||||
\(925\) | 3.19851 | + | 1.84666i | 0.105166 | + | 0.0607178i | ||||
\(926\) | −14.2795 | − | 3.03520i | −0.469253 | − | 0.0997428i | ||||
\(927\) | −36.8258 | − | 28.8132i | −1.20952 | − | 0.946350i | ||||
\(928\) | −6.49709 | − | 8.94248i | −0.213278 | − | 0.293551i | ||||
\(929\) | 0.959781 | − | 0.204008i | 0.0314894 | − | 0.00669327i | −0.192140 | − | 0.981368i | \(-0.561543\pi\) |
0.223629 | + | 0.974674i | \(0.428209\pi\) | |||||||
\(930\) | −12.5187 | − | 14.4114i | −0.410504 | − | 0.472567i | ||||
\(931\) | 26.2124 | − | 19.0444i | 0.859077 | − | 0.624156i | ||||
\(932\) | −5.29435 | + | 50.3724i | −0.173422 | + | 1.65000i | ||||
\(933\) | −11.6254 | + | 3.54976i | −0.380598 | + | 0.116214i | ||||
\(934\) | 13.0959 | − | 22.6828i | 0.428512 | − | 0.742205i | ||||
\(935\) | 11.4153 | − | 13.9061i | 0.373322 | − | 0.454777i | ||||
\(936\) | −53.1754 | + | 24.6360i | −1.73809 | + | 0.805252i | ||||
\(937\) | 12.3162 | − | 4.00176i | 0.402351 | − | 0.130732i | −0.100849 | − | 0.994902i | \(-0.532156\pi\) |
0.503200 | + | 0.864170i | \(0.332156\pi\) | |||||||
\(938\) | 4.09632 | − | 1.82380i | 0.133750 | − | 0.0595492i | ||||
\(939\) | 7.69052 | − | 5.38093i | 0.250971 | − | 0.175600i | ||||
\(940\) | −19.5469 | + | 4.15482i | −0.637549 | + | 0.135515i | ||||
\(941\) | 8.24768 | + | 2.67983i | 0.268867 | + | 0.0873601i | 0.440348 | − | 0.897827i | \(-0.354855\pi\) |
−0.171481 | + | 0.985187i | \(0.554855\pi\) | |||||||
\(942\) | 34.1831 | − | 2.97852i | 1.11375 | − | 0.0970453i | ||||
\(943\) | 0.829403 | − | 7.89124i | 0.0270091 | − | 0.256974i | ||||
\(944\) | 1.77079 | + | 5.44994i | 0.0576344 | + | 0.177381i | ||||
\(945\) | 7.98165 | + | 15.7058i | 0.259643 | + | 0.510911i | ||||
\(946\) | 14.0830 | − | 51.1901i | 0.457877 | − | 1.66433i | ||||
\(947\) | 22.0866 | − | 38.2551i | 0.717718 | − | 1.24312i | −0.244184 | − | 0.969729i | \(-0.578520\pi\) |
0.961902 | − | 0.273395i | \(-0.0881466\pi\) | |||||||
\(948\) | −84.7775 | − | 79.1121i | −2.75345 | − | 2.56944i | ||||
\(949\) | −9.35480 | + | 58.3937i | −0.303670 | + | 1.89554i | ||||
\(950\) | −14.0202 | − | 19.2971i | −0.454875 | − | 0.626081i | ||||
\(951\) | −17.4714 | + | 50.6827i | −0.566549 | + | 1.64350i | ||||
\(952\) | −19.3934 | + | 17.4619i | −0.628544 | + | 0.565944i | ||||
\(953\) | −6.56748 | − | 2.92403i | −0.212741 | − | 0.0947186i | 0.297599 | − | 0.954691i | \(-0.403814\pi\) |
−0.510341 | + | 0.859972i | \(0.670481\pi\) | |||||||
\(954\) | −39.6634 | + | 15.9926i | −1.28415 | + | 0.517779i | ||||
\(955\) | −8.61829 | − | 7.75994i | −0.278881 | − | 0.251106i | ||||
\(956\) | −1.08710 | + | 0.627636i | −0.0351593 | + | 0.0202992i | ||||
\(957\) | 30.6992 | − | 14.7071i | 0.992366 | − | 0.475412i | ||||
\(958\) | 50.3315 | + | 87.1768i | 1.62614 | + | 2.81655i | ||||
\(959\) | −6.72514 | − | 1.42947i | −0.217166 | − | 0.0461601i | ||||
\(960\) | −15.0842 | − | 11.3751i | −0.486840 | − | 0.367129i | ||||
\(961\) | −20.9150 | + | 15.1956i | −0.674676 | + | 0.490181i | ||||
\(962\) | −17.5937 | − | 21.8054i | −0.567244 | − | 0.703033i | ||||
\(963\) | 27.6114 | + | 32.9531i | 0.889766 | + | 1.06190i | ||||
\(964\) | −3.96757 | − | 37.7489i | −0.127787 | − | 1.21581i | ||||
\(965\) | −16.0991 | + | 7.16780i | −0.518250 | + | 0.230740i | ||||
\(966\) | 9.10035 | + | 2.10435i | 0.292799 | + | 0.0677065i | ||||
\(967\) | 16.8285 | 0.541167 | 0.270584 | − | 0.962696i | \(-0.412783\pi\) | ||||
0.270584 | + | 0.962696i | \(0.412783\pi\) | |||||||
\(968\) | 58.1256 | + | 13.1678i | 1.86823 | + | 0.423230i | ||||
\(969\) | 20.1235 | − | 33.4644i | 0.646459 | − | 1.07503i | ||||
\(970\) | 17.0240 | + | 52.3944i | 0.546607 | + | 1.68228i | ||||
\(971\) | 19.1253 | + | 2.01015i | 0.613760 | + | 0.0645088i | 0.406308 | − | 0.913736i | \(-0.366816\pi\) |
0.207452 | + | 0.978245i | \(0.433483\pi\) | |||||||
\(972\) | −56.9281 | − | 31.6868i | −1.82597 | − | 1.01635i | ||||
\(973\) | −18.2577 | + | 16.4393i | −0.585315 | + | 0.527020i | ||||
\(974\) | 10.3423 | − | 31.8304i | 0.331389 | − | 1.01991i | ||||
\(975\) | 6.50735 | + | 3.47777i | 0.208402 | + | 0.111378i | ||||
\(976\) | −26.4817 | + | 36.4489i | −0.847657 | + | 1.16670i | ||||
\(977\) | 7.05172 | + | 1.49889i | 0.225604 | + | 0.0479537i | 0.319327 | − | 0.947645i | \(-0.396543\pi\) |
−0.0937224 | + | 0.995598i | \(0.529877\pi\) | |||||||
\(978\) | −11.9828 | − | 0.213377i | −0.383166 | − | 0.00682304i | ||||
\(979\) | −11.4131 | + | 5.71969i | −0.364764 | + | 0.182802i | ||||
\(980\) | 32.5834 | 1.04084 | ||||||||
\(981\) | 0.737443 | + | 2.57862i | 0.0235447 | + | 0.0823289i | ||||
\(982\) | −83.8272 | − | 8.81060i | −2.67503 | − | 0.281157i | ||||
\(983\) | 27.5701 | − | 20.0308i | 0.879349 | − | 0.638885i | −0.0537301 | − | 0.998555i | \(-0.517111\pi\) |
0.933079 | + | 0.359671i | \(0.117111\pi\) | |||||||
\(984\) | −39.0561 | − | 44.9608i | −1.24506 | − | 1.43330i | ||||
\(985\) | −13.2546 | + | 11.9345i | −0.422326 | + | 0.380264i | ||||
\(986\) | −40.6677 | + | 4.27434i | −1.29512 | + | 0.136123i | ||||
\(987\) | −0.898696 | + | 7.29806i | −0.0286058 | + | 0.232300i | ||||
\(988\) | 31.4660 | + | 118.271i | 1.00107 | + | 3.76270i | ||||
\(989\) | 8.05132 | 0.256017 | ||||||||
\(990\) | −35.5906 | + | 32.7014i | −1.13114 | + | 1.03932i | ||||
\(991\) | 11.3580 | − | 19.6726i | 0.360799 | − | 0.624921i | −0.627294 | − | 0.778783i | \(-0.715838\pi\) |
0.988092 | + | 0.153861i | \(0.0491709\pi\) | |||||||
\(992\) | −2.83192 | + | 3.14517i | −0.0899136 | + | 0.0998592i | ||||
\(993\) | −39.4885 | − | 4.86268i | −1.25313 | − | 0.154313i | ||||
\(994\) | −22.4822 | + | 50.4959i | −0.713093 | + | 1.60163i | ||||
\(995\) | 1.61677 | − | 0.343655i | 0.0512550 | − | 0.0108946i | ||||
\(996\) | −1.12181 | − | 5.78205i | −0.0355458 | − | 0.183211i | ||||
\(997\) | 6.50053 | − | 14.6004i | 0.205874 | − | 0.462400i | −0.780868 | − | 0.624695i | \(-0.785223\pi\) |
0.986742 | + | 0.162296i | \(0.0518898\pi\) | |||||||
\(998\) | −19.9205 | + | 8.86918i | −0.630573 | + | 0.280749i | ||||
\(999\) | 4.22060 | − | 15.6852i | 0.133534 | − | 0.496259i |
(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 | 429.2.bm.a.17.6 | ✓ | 416 | |
3.2 | odd | 2 | inner | 429.2.bm.a.17.47 | yes | 416 | |
11.2 | odd | 10 | inner | 429.2.bm.a.134.6 | yes | 416 | |
13.10 | even | 6 | inner | 429.2.bm.a.413.47 | yes | 416 | |
33.2 | even | 10 | inner | 429.2.bm.a.134.47 | yes | 416 | |
39.23 | odd | 6 | inner | 429.2.bm.a.413.6 | yes | 416 | |
143.101 | odd | 30 | inner | 429.2.bm.a.101.47 | yes | 416 | |
429.101 | even | 30 | inner | 429.2.bm.a.101.6 | yes | 416 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
429.2.bm.a.17.6 | ✓ | 416 | 1.1 | even | 1 | trivial | |
429.2.bm.a.17.47 | yes | 416 | 3.2 | odd | 2 | inner | |
429.2.bm.a.101.6 | yes | 416 | 429.101 | even | 30 | inner | |
429.2.bm.a.101.47 | yes | 416 | 143.101 | odd | 30 | inner | |
429.2.bm.a.134.6 | yes | 416 | 11.2 | odd | 10 | inner | |
429.2.bm.a.134.47 | yes | 416 | 33.2 | even | 10 | inner | |
429.2.bm.a.413.6 | yes | 416 | 39.23 | odd | 6 | inner | |
429.2.bm.a.413.47 | yes | 416 | 13.10 | even | 6 | inner |