Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [931,2,Mod(226,931)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(931, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([6, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("931.226");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 931 = 7^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 931.x (of order \(9\), degree \(6\), not 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: | \(7.43407242818\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{9})\) |
Twist minimal: | no (minimal twist has level 133) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 655.4 | ||
Character | \(\chi\) | \(=\) | 931.655 |
Dual form | 931.2.x.e.226.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/931\mathbb{Z}\right)^\times\).
\(n\) | \(248\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{4}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.24615 | − | 1.04564i | 0.881160 | − | 0.739381i | −0.0852576 | − | 0.996359i | \(-0.527171\pi\) |
0.966417 | + | 0.256978i | \(0.0827269\pi\) | |||||||
\(3\) | 0.186827 | + | 1.05955i | 0.107864 | + | 0.611729i | 0.990037 | + | 0.140804i | \(0.0449687\pi\) |
−0.882173 | + | 0.470925i | \(0.843920\pi\) | |||||||
\(4\) | 0.112220 | − | 0.636434i | 0.0561102 | − | 0.318217i | ||||
\(5\) | 0.0122200 | + | 0.0693033i | 0.00546497 | + | 0.0309934i | 0.987418 | − | 0.158130i | \(-0.0505465\pi\) |
−0.981953 | + | 0.189123i | \(0.939435\pi\) | |||||||
\(6\) | 1.34072 | + | 1.12500i | 0.547346 | + | 0.459278i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 1.10109 | + | 1.90715i | 0.389295 | + | 0.674278i | ||||
\(9\) | 1.73134 | − | 0.630158i | 0.577115 | − | 0.210053i | ||||
\(10\) | 0.0876945 | + | 0.0735844i | 0.0277314 | + | 0.0232694i | ||||
\(11\) | 1.79123 | 0.540077 | 0.270039 | − | 0.962849i | \(-0.412964\pi\) | ||||
0.270039 | + | 0.962849i | \(0.412964\pi\) | |||||||
\(12\) | 0.695297 | 0.200715 | ||||||||
\(13\) | −2.27346 | − | 1.90766i | −0.630545 | − | 0.529090i | 0.270553 | − | 0.962705i | \(-0.412793\pi\) |
−0.901098 | + | 0.433615i | \(0.857238\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.0711470 | + | 0.0258954i | −0.0183701 | + | 0.00668616i | ||||
\(16\) | 4.58087 | + | 1.66730i | 1.14522 | + | 0.416825i | ||||
\(17\) | 0.591642 | + | 0.215340i | 0.143494 | + | 0.0522276i | 0.412769 | − | 0.910836i | \(-0.364562\pi\) |
−0.269275 | + | 0.963063i | \(0.586784\pi\) | |||||||
\(18\) | 1.49859 | − | 2.59564i | 0.353221 | − | 0.611797i | ||||
\(19\) | −0.791993 | + | 4.28634i | −0.181696 | + | 0.983355i | ||||
\(20\) | 0.0454783 | 0.0101693 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 2.23214 | − | 1.87299i | 0.475894 | − | 0.399323i | ||||
\(23\) | −1.14928 | − | 0.964356i | −0.239640 | − | 0.201082i | 0.515056 | − | 0.857157i | \(-0.327771\pi\) |
−0.754696 | + | 0.656075i | \(0.772216\pi\) | |||||||
\(24\) | −1.81500 | + | 1.52296i | −0.370485 | + | 0.310874i | ||||
\(25\) | 4.69381 | − | 1.70841i | 0.938762 | − | 0.341681i | ||||
\(26\) | −4.82780 | −0.946810 | ||||||||
\(27\) | 2.60498 | + | 4.51196i | 0.501328 | + | 0.868326i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −0.942253 | + | 5.34378i | −0.174972 | + | 0.992316i | 0.763204 | + | 0.646157i | \(0.223625\pi\) |
−0.938176 | + | 0.346158i | \(0.887486\pi\) | |||||||
\(30\) | −0.0615824 | + | 0.106664i | −0.0112434 | + | 0.0194741i | ||||
\(31\) | 3.26526 | + | 5.65559i | 0.586457 | + | 1.01577i | 0.994692 | + | 0.102897i | \(0.0328111\pi\) |
−0.408235 | + | 0.912877i | \(0.633856\pi\) | |||||||
\(32\) | 3.31309 | − | 1.20587i | 0.585678 | − | 0.213169i | ||||
\(33\) | 0.334650 | + | 1.89789i | 0.0582551 | + | 0.330381i | ||||
\(34\) | 0.962442 | − | 0.350300i | 0.165057 | − | 0.0600760i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −0.206761 | − | 1.17260i | −0.0344602 | − | 0.195434i | ||||
\(37\) | −0.345571 | − | 0.598546i | −0.0568115 | − | 0.0984003i | 0.836221 | − | 0.548393i | \(-0.184760\pi\) |
−0.893032 | + | 0.449992i | \(0.851427\pi\) | |||||||
\(38\) | 3.49504 | + | 6.16956i | 0.566971 | + | 1.00083i | ||||
\(39\) | 1.59651 | − | 2.76524i | 0.255647 | − | 0.442793i | ||||
\(40\) | −0.118716 | + | 0.0996148i | −0.0187707 | + | 0.0157505i | ||||
\(41\) | 5.15375 | − | 4.32451i | 0.804881 | − | 0.675376i | −0.144499 | − | 0.989505i | \(-0.546157\pi\) |
0.949380 | + | 0.314129i | \(0.101713\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −1.77256 | − | 0.645159i | −0.270313 | − | 0.0983859i | 0.203307 | − | 0.979115i | \(-0.434831\pi\) |
−0.473620 | + | 0.880729i | \(0.657053\pi\) | |||||||
\(44\) | 0.201013 | − | 1.14000i | 0.0303039 | − | 0.171862i | ||||
\(45\) | 0.0648291 | + | 0.112287i | 0.00966416 | + | 0.0167388i | ||||
\(46\) | −2.44054 | −0.359838 | ||||||||
\(47\) | 1.30673 | − | 0.475610i | 0.190606 | − | 0.0693748i | −0.244954 | − | 0.969535i | \(-0.578773\pi\) |
0.435559 | + | 0.900160i | \(0.356551\pi\) | |||||||
\(48\) | −0.910754 | + | 5.16514i | −0.131456 | + | 0.745524i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 4.06280 | − | 7.03697i | 0.574566 | − | 0.995178i | ||||
\(51\) | −0.117628 | + | 0.667103i | −0.0164712 | + | 0.0934131i | ||||
\(52\) | −1.46923 | + | 1.23283i | −0.203746 | + | 0.170963i | ||||
\(53\) | 1.28138 | − | 7.26708i | 0.176011 | − | 0.998210i | −0.760959 | − | 0.648800i | \(-0.775271\pi\) |
0.936970 | − | 0.349410i | \(-0.113618\pi\) | |||||||
\(54\) | 7.96408 | + | 2.89869i | 1.08377 | + | 0.394461i | ||||
\(55\) | 0.0218890 | + | 0.124138i | 0.00295151 | + | 0.0167388i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −4.68954 | − | 0.0383506i | −0.621145 | − | 0.00507966i | ||||
\(58\) | 4.41350 | + | 7.64440i | 0.579521 | + | 1.00376i | ||||
\(59\) | −13.0307 | − | 4.74278i | −1.69645 | − | 0.617457i | −0.701037 | − | 0.713125i | \(-0.747279\pi\) |
−0.995413 | + | 0.0956681i | \(0.969501\pi\) | |||||||
\(60\) | 0.00849656 | + | 0.0481864i | 0.00109690 | + | 0.00622083i | ||||
\(61\) | −0.128760 | − | 0.108043i | −0.0164861 | − | 0.0138335i | 0.634507 | − | 0.772917i | \(-0.281203\pi\) |
−0.650993 | + | 0.759083i | \(0.725647\pi\) | |||||||
\(62\) | 9.98271 | + | 3.63341i | 1.26781 | + | 0.461444i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −2.00716 | + | 3.47651i | −0.250896 | + | 0.434564i | ||||
\(65\) | 0.104426 | − | 0.180870i | 0.0129524 | − | 0.0224342i | ||||
\(66\) | 2.40154 | + | 2.01513i | 0.295609 | + | 0.248046i | ||||
\(67\) | −7.07640 | − | 5.93781i | −0.864520 | − | 0.725419i | 0.0984165 | − | 0.995145i | \(-0.468622\pi\) |
−0.962937 | + | 0.269727i | \(0.913067\pi\) | |||||||
\(68\) | 0.203444 | − | 0.352375i | 0.0246712 | − | 0.0427318i | ||||
\(69\) | 0.807065 | − | 1.39788i | 0.0971592 | − | 0.168285i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 11.0779 | + | 4.03202i | 1.31470 | + | 0.478513i | 0.901758 | − | 0.432242i | \(-0.142277\pi\) |
0.412947 | + | 0.910755i | \(0.364500\pi\) | |||||||
\(72\) | 3.10817 | + | 2.60807i | 0.366302 | + | 0.307364i | ||||
\(73\) | −1.94927 | − | 11.0549i | −0.228145 | − | 1.29388i | −0.856580 | − | 0.516014i | \(-0.827415\pi\) |
0.628435 | − | 0.777862i | \(-0.283696\pi\) | |||||||
\(74\) | −1.05650 | − | 0.384533i | −0.122815 | − | 0.0447011i | ||||
\(75\) | 2.68706 | + | 4.65413i | 0.310275 | + | 0.537413i | ||||
\(76\) | 2.63910 | + | 0.985067i | 0.302725 | + | 0.112995i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −0.901962 | − | 5.11528i | −0.102127 | − | 0.579191i | ||||
\(79\) | −9.84833 | − | 3.58450i | −1.10802 | − | 0.403287i | −0.277755 | − | 0.960652i | \(-0.589590\pi\) |
−0.830268 | + | 0.557364i | \(0.811813\pi\) | |||||||
\(80\) | −0.0595710 | + | 0.337844i | −0.00666025 | + | 0.0377721i | ||||
\(81\) | −0.0597313 | + | 0.0501205i | −0.00663681 | + | 0.00556895i | ||||
\(82\) | 1.90045 | − | 10.7780i | 0.209869 | − | 1.19023i | ||||
\(83\) | 3.37852 | − | 5.85176i | 0.370840 | − | 0.642315i | −0.618855 | − | 0.785506i | \(-0.712403\pi\) |
0.989695 | + | 0.143191i | \(0.0457363\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.00769389 | + | 0.0436342i | −0.000834519 | + | 0.00473279i | ||||
\(86\) | −2.88348 | + | 1.04950i | −0.310933 | + | 0.113171i | ||||
\(87\) | −5.83802 | −0.625902 | ||||||||
\(88\) | 1.97231 | + | 3.41615i | 0.210249 | + | 0.364162i | ||||
\(89\) | −0.716785 | + | 4.06509i | −0.0759791 | + | 0.430899i | 0.922962 | + | 0.384891i | \(0.125761\pi\) |
−0.998941 | + | 0.0460077i | \(0.985350\pi\) | |||||||
\(90\) | 0.198199 | + | 0.0721386i | 0.0208920 | + | 0.00760407i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −0.742721 | + | 0.623217i | −0.0774340 | + | 0.0649749i | ||||
\(93\) | −5.38232 | + | 4.51630i | −0.558120 | + | 0.468319i | ||||
\(94\) | 1.13106 | − | 1.95905i | 0.116660 | − | 0.202061i | ||||
\(95\) | −0.306736 | − | 0.00250846i | −0.0314705 | − | 0.000257362i | ||||
\(96\) | 1.89665 | + | 3.28509i | 0.193576 | + | 0.335283i | ||||
\(97\) | −0.928436 | − | 5.26542i | −0.0942684 | − | 0.534623i | −0.994969 | − | 0.100182i | \(-0.968057\pi\) |
0.900701 | − | 0.434440i | \(-0.143054\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 3.10124 | − | 1.12876i | 0.311687 | − | 0.113445i | ||||
\(100\) | −0.560546 | − | 3.17902i | −0.0560546 | − | 0.317902i | ||||
\(101\) | −4.68592 | + | 1.70554i | −0.466267 | + | 0.169707i | −0.564461 | − | 0.825460i | \(-0.690916\pi\) |
0.0981936 | + | 0.995167i | \(0.468694\pi\) | |||||||
\(102\) | 0.550969 | + | 0.954306i | 0.0545540 | + | 0.0944904i | ||||
\(103\) | 1.50069 | − | 2.59928i | 0.147868 | − | 0.256115i | −0.782571 | − | 0.622561i | \(-0.786092\pi\) |
0.930439 | + | 0.366446i | \(0.119426\pi\) | |||||||
\(104\) | 1.13490 | − | 6.43634i | 0.111286 | − | 0.631135i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −6.00197 | − | 10.3957i | −0.582963 | − | 1.00972i | ||||
\(107\) | −12.5188 | −1.21024 | −0.605121 | − | 0.796134i | \(-0.706875\pi\) | ||||
−0.605121 | + | 0.796134i | \(0.706875\pi\) | |||||||
\(108\) | 3.16389 | − | 1.15156i | 0.304446 | − | 0.110809i | ||||
\(109\) | −10.7539 | + | 9.02355i | −1.03003 | + | 0.864299i | −0.990855 | − | 0.134933i | \(-0.956918\pi\) |
−0.0391773 | + | 0.999232i | \(0.512474\pi\) | |||||||
\(110\) | 0.157081 | + | 0.131807i | 0.0149771 | + | 0.0125673i | ||||
\(111\) | 0.569625 | − | 0.477972i | 0.0540664 | − | 0.0453671i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −0.420510 | −0.0395583 | −0.0197791 | − | 0.999804i | \(-0.506296\pi\) | ||||
−0.0197791 | + | 0.999804i | \(0.506296\pi\) | |||||||
\(114\) | −5.88397 | + | 4.85579i | −0.551084 | + | 0.454787i | ||||
\(115\) | 0.0527889 | − | 0.0914331i | 0.00492259 | − | 0.00852618i | ||||
\(116\) | 3.29522 | + | 1.19936i | 0.305954 | + | 0.111358i | ||||
\(117\) | −5.13828 | − | 1.87018i | −0.475034 | − | 0.172898i | ||||
\(118\) | −21.1974 | + | 7.71522i | −1.95138 | + | 0.710244i | ||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −0.127726 | − | 0.107175i | −0.0116597 | − | 0.00978366i | ||||
\(121\) | −7.79148 | −0.708316 | ||||||||
\(122\) | −0.273429 | −0.0247551 | ||||||||
\(123\) | 5.54488 | + | 4.65271i | 0.499965 | + | 0.419520i | ||||
\(124\) | 3.96584 | − | 1.44345i | 0.356143 | − | 0.129625i | ||||
\(125\) | 0.351688 | + | 0.609141i | 0.0314559 | + | 0.0544833i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 9.45174 | + | 7.93095i | 0.838707 | + | 0.703758i | 0.957272 | − | 0.289188i | \(-0.0933852\pi\) |
−0.118566 | + | 0.992946i | \(0.537830\pi\) | |||||||
\(128\) | 2.35843 | + | 13.3753i | 0.208458 | + | 1.18222i | ||||
\(129\) | 0.352415 | − | 1.99864i | 0.0310284 | − | 0.175971i | ||||
\(130\) | −0.0589960 | − | 0.334583i | −0.00517429 | − | 0.0293449i | ||||
\(131\) | 2.28866 | − | 1.92042i | 0.199962 | − | 0.167788i | −0.537309 | − | 0.843386i | \(-0.680559\pi\) |
0.737270 | + | 0.675598i | \(0.236115\pi\) | |||||||
\(132\) | 1.24544 | 0.108402 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −15.0271 | −1.29814 | ||||||||
\(135\) | −0.280861 | + | 0.235670i | −0.0241726 | + | 0.0202832i | ||||
\(136\) | 0.240767 | + | 1.36546i | 0.0206456 | + | 0.117087i | ||||
\(137\) | 3.70626 | − | 21.0192i | 0.316647 | − | 1.79580i | −0.246184 | − | 0.969223i | \(-0.579177\pi\) |
0.562831 | − | 0.826572i | \(-0.309712\pi\) | |||||||
\(138\) | −0.455957 | − | 2.58586i | −0.0388137 | − | 0.220123i | ||||
\(139\) | −5.38233 | − | 4.51631i | −0.456523 | − | 0.383068i | 0.385327 | − | 0.922780i | \(-0.374089\pi\) |
−0.841850 | + | 0.539712i | \(0.818533\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0.748062 | + | 1.29568i | 0.0629982 | + | 0.109116i | ||||
\(142\) | 18.0207 | − | 6.55902i | 1.51227 | − | 0.550420i | ||||
\(143\) | −4.07231 | − | 3.41707i | −0.340543 | − | 0.285750i | ||||
\(144\) | 8.98173 | 0.748477 | ||||||||
\(145\) | −0.381856 | −0.0317114 | ||||||||
\(146\) | −13.9885 | − | 11.7378i | −1.15770 | − | 0.971425i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −0.419715 | + | 0.152764i | −0.0345003 | + | 0.0125571i | ||||
\(149\) | −7.57610 | − | 2.75748i | −0.620659 | − | 0.225901i | 0.0125018 | − | 0.999922i | \(-0.496020\pi\) |
−0.633160 | + | 0.774021i | \(0.718243\pi\) | |||||||
\(150\) | 8.21503 | + | 2.99003i | 0.670755 | + | 0.244135i | ||||
\(151\) | −10.1104 | + | 17.5117i | −0.822773 | + | 1.42509i | 0.0808356 | + | 0.996727i | \(0.474241\pi\) |
−0.903609 | + | 0.428358i | \(0.859092\pi\) | |||||||
\(152\) | −9.04674 | + | 3.20921i | −0.733788 | + | 0.260301i | ||||
\(153\) | 1.16003 | 0.0937832 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −0.352050 | + | 0.295405i | −0.0282773 | + | 0.0237275i | ||||
\(156\) | −1.58073 | − | 1.32639i | −0.126560 | − | 0.106196i | ||||
\(157\) | 17.5965 | − | 14.7652i | 1.40435 | − | 1.17839i | 0.445224 | − | 0.895419i | \(-0.353124\pi\) |
0.959128 | − | 0.282972i | \(-0.0913204\pi\) | |||||||
\(158\) | −16.0206 | + | 5.83101i | −1.27453 | + | 0.463890i | ||||
\(159\) | 7.93920 | 0.629619 | ||||||||
\(160\) | 0.124057 | + | 0.214873i | 0.00980755 | + | 0.0169872i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −0.0220259 | + | 0.124915i | −0.00173052 | + | 0.00981426i | ||||
\(163\) | 9.01257 | − | 15.6102i | 0.705919 | − | 1.22269i | −0.260439 | − | 0.965490i | \(-0.583867\pi\) |
0.966359 | − | 0.257198i | \(-0.0827992\pi\) | |||||||
\(164\) | −2.17391 | − | 3.76532i | −0.169754 | − | 0.294022i | ||||
\(165\) | −0.127441 | + | 0.0463847i | −0.00992127 | + | 0.00361105i | ||||
\(166\) | −1.90872 | − | 10.8249i | −0.148145 | − | 0.840174i | ||||
\(167\) | 3.45416 | − | 1.25721i | 0.267291 | − | 0.0972860i | −0.204898 | − | 0.978783i | \(-0.565686\pi\) |
0.472189 | + | 0.881497i | \(0.343464\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −0.727966 | − | 4.12850i | −0.0559974 | − | 0.317577i | ||||
\(170\) | 0.0360380 | + | 0.0624197i | 0.00276399 | + | 0.00478737i | ||||
\(171\) | 1.32986 | + | 7.92022i | 0.101697 | + | 0.605674i | ||||
\(172\) | −0.609519 | + | 1.05572i | −0.0464754 | + | 0.0804977i | ||||
\(173\) | −8.27573 | + | 6.94416i | −0.629192 | + | 0.527955i | −0.900678 | − | 0.434488i | \(-0.856929\pi\) |
0.271486 | + | 0.962442i | \(0.412485\pi\) | |||||||
\(174\) | −7.27504 | + | 6.10448i | −0.551519 | + | 0.462780i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 8.20541 | + | 2.98653i | 0.618506 | + | 0.225118i | ||||
\(177\) | 2.59072 | − | 14.6927i | 0.194730 | − | 1.10437i | ||||
\(178\) | 3.35741 | + | 5.81521i | 0.251649 | + | 0.435868i | ||||
\(179\) | −2.07152 | −0.154833 | −0.0774165 | − | 0.996999i | \(-0.524667\pi\) | ||||
−0.0774165 | + | 0.996999i | \(0.524667\pi\) | |||||||
\(180\) | 0.0787386 | − | 0.0286585i | 0.00586883 | − | 0.00213608i | ||||
\(181\) | 0.196089 | − | 1.11208i | 0.0145752 | − | 0.0826601i | −0.976653 | − | 0.214825i | \(-0.931082\pi\) |
0.991228 | + | 0.132165i | \(0.0421929\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0.0904205 | − | 0.156613i | 0.00668408 | − | 0.0115772i | ||||
\(184\) | 0.573712 | − | 3.25368i | 0.0422946 | − | 0.239865i | ||||
\(185\) | 0.0372583 | − | 0.0312635i | 0.00273929 | − | 0.00229853i | ||||
\(186\) | −1.98473 | + | 11.2560i | −0.145527 | + | 0.825327i | ||||
\(187\) | 1.05977 | + | 0.385724i | 0.0774980 | + | 0.0282070i | ||||
\(188\) | −0.156053 | − | 0.885019i | −0.0113813 | − | 0.0645466i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −0.384862 | + | 0.317610i | −0.0279208 | + | 0.0230419i | ||||
\(191\) | 0.150719 | + | 0.261053i | 0.0109056 | + | 0.0188891i | 0.871427 | − | 0.490526i | \(-0.163195\pi\) |
−0.860521 | + | 0.509415i | \(0.829862\pi\) | |||||||
\(192\) | −4.05851 | − | 1.47718i | −0.292898 | − | 0.106606i | ||||
\(193\) | 0.535498 | + | 3.03696i | 0.0385460 | + | 0.218605i | 0.997996 | − | 0.0632727i | \(-0.0201538\pi\) |
−0.959450 | + | 0.281878i | \(0.909043\pi\) | |||||||
\(194\) | −6.66272 | − | 5.59068i | −0.478355 | − | 0.401388i | ||||
\(195\) | 0.211150 | + | 0.0768523i | 0.0151208 | + | 0.00550351i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −13.9602 | + | 24.1797i | −0.994620 | + | 1.72273i | −0.407595 | + | 0.913163i | \(0.633632\pi\) |
−0.587025 | + | 0.809569i | \(0.699701\pi\) | |||||||
\(198\) | 2.68433 | − | 4.64939i | 0.190767 | − | 0.330418i | ||||
\(199\) | −1.13329 | − | 0.950941i | −0.0803367 | − | 0.0674105i | 0.601735 | − | 0.798696i | \(-0.294476\pi\) |
−0.682072 | + | 0.731285i | \(0.738921\pi\) | |||||||
\(200\) | 8.42650 | + | 7.07067i | 0.595843 | + | 0.499972i | ||||
\(201\) | 4.96932 | − | 8.60712i | 0.350509 | − | 0.607099i | ||||
\(202\) | −4.05597 | + | 7.02515i | −0.285377 | + | 0.494288i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0.411367 | + | 0.149725i | 0.0288014 | + | 0.0104829i | ||||
\(205\) | 0.362682 | + | 0.304327i | 0.0253308 | + | 0.0212551i | ||||
\(206\) | −0.847829 | − | 4.80828i | −0.0590710 | − | 0.335008i | ||||
\(207\) | −2.59749 | − | 0.945408i | −0.180538 | − | 0.0657104i | ||||
\(208\) | −7.23380 | − | 12.5293i | −0.501574 | − | 0.868751i | ||||
\(209\) | −1.41865 | + | 7.67785i | −0.0981298 | + | 0.531088i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −4.78998 | − | 27.1653i | −0.329756 | − | 1.87014i | −0.473894 | − | 0.880582i | \(-0.657152\pi\) |
0.144137 | − | 0.989558i | \(-0.453959\pi\) | |||||||
\(212\) | −4.48122 | − | 1.63103i | −0.307771 | − | 0.112020i | ||||
\(213\) | −2.20247 | + | 12.4908i | −0.150911 | + | 0.855857i | ||||
\(214\) | −15.6003 | + | 13.0902i | −1.06642 | + | 0.894829i | ||||
\(215\) | 0.0230509 | − | 0.130728i | 0.00157206 | − | 0.00891559i | ||||
\(216\) | −5.73664 | + | 9.93615i | −0.390329 | + | 0.676070i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −3.96548 | + | 22.4894i | −0.268576 | + | 1.52317i | ||||
\(219\) | 11.3490 | − | 4.13069i | 0.766893 | − | 0.279126i | ||||
\(220\) | 0.0814623 | 0.00549219 | ||||||||
\(221\) | −0.934280 | − | 1.61822i | −0.0628465 | − | 0.108853i | ||||
\(222\) | 0.210049 | − | 1.19125i | 0.0140976 | − | 0.0799513i | ||||
\(223\) | 8.38245 | + | 3.05096i | 0.561331 | + | 0.204308i | 0.607074 | − | 0.794646i | \(-0.292343\pi\) |
−0.0457430 | + | 0.998953i | \(0.514566\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 7.05003 | − | 5.91568i | 0.470002 | − | 0.394379i | ||||
\(226\) | −0.524018 | + | 0.439703i | −0.0348571 | + | 0.0292486i | ||||
\(227\) | 12.6725 | − | 21.9493i | 0.841101 | − | 1.45683i | −0.0478641 | − | 0.998854i | \(-0.515241\pi\) |
0.888965 | − | 0.457975i | \(-0.151425\pi\) | |||||||
\(228\) | −0.550670 | + | 2.98028i | −0.0364690 | + | 0.197374i | ||||
\(229\) | −12.4215 | − | 21.5146i | −0.820834 | − | 1.42173i | −0.905062 | − | 0.425279i | \(-0.860176\pi\) |
0.0842287 | − | 0.996446i | \(-0.473157\pi\) | |||||||
\(230\) | −0.0298235 | − | 0.169137i | −0.00196650 | − | 0.0111526i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −11.2289 | + | 4.08698i | −0.737213 | + | 0.268323i | ||||
\(233\) | 2.74690 | + | 15.5785i | 0.179956 | + | 1.02058i | 0.932267 | + | 0.361771i | \(0.117828\pi\) |
−0.752311 | + | 0.658808i | \(0.771061\pi\) | |||||||
\(234\) | −8.35859 | + | 3.04228i | −0.546418 | + | 0.198880i | ||||
\(235\) | 0.0489296 | + | 0.0847486i | 0.00319182 | + | 0.00552839i | ||||
\(236\) | −4.48077 | + | 7.76093i | −0.291674 | + | 0.505193i | ||||
\(237\) | 1.95801 | − | 11.1044i | 0.127186 | − | 0.721310i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −2.00385 | − | 3.47078i | −0.129619 | − | 0.224506i | 0.793910 | − | 0.608035i | \(-0.208042\pi\) |
−0.923529 | + | 0.383529i | \(0.874709\pi\) | |||||||
\(240\) | −0.369091 | −0.0238247 | ||||||||
\(241\) | 21.2817 | − | 7.74590i | 1.37087 | − | 0.498957i | 0.451475 | − | 0.892284i | \(-0.350898\pi\) |
0.919399 | + | 0.393327i | \(0.128676\pi\) | |||||||
\(242\) | −9.70934 | + | 8.14710i | −0.624140 | + | 0.523715i | ||||
\(243\) | 11.9089 | + | 9.99277i | 0.763957 | + | 0.641036i | ||||
\(244\) | −0.0832117 | + | 0.0698229i | −0.00532708 | + | 0.00446995i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 11.7748 | 0.750734 | ||||||||
\(247\) | 9.97747 | − | 8.23399i | 0.634851 | − | 0.523916i | ||||
\(248\) | −7.19069 | + | 12.4546i | −0.456609 | + | 0.790871i | ||||
\(249\) | 6.83141 | + | 2.48643i | 0.432923 | + | 0.157571i | ||||
\(250\) | 1.07520 | + | 0.391341i | 0.0680016 | + | 0.0247505i | ||||
\(251\) | −25.6565 | + | 9.33821i | −1.61942 | + | 0.589422i | −0.983272 | − | 0.182141i | \(-0.941697\pi\) |
−0.636152 | + | 0.771563i | \(0.719475\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −2.05862 | − | 1.72739i | −0.129424 | − | 0.108600i | ||||
\(254\) | 20.0712 | 1.25938 | ||||||||
\(255\) | −0.0476699 | −0.00298520 | ||||||||
\(256\) | 10.7745 | + | 9.04085i | 0.673404 | + | 0.565053i | ||||
\(257\) | −11.8009 | + | 4.29516i | −0.736118 | + | 0.267925i | −0.682752 | − | 0.730650i | \(-0.739217\pi\) |
−0.0533655 | + | 0.998575i | \(0.516995\pi\) | |||||||
\(258\) | −1.65070 | − | 2.85910i | −0.102768 | − | 0.178000i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −0.103393 | − | 0.0867573i | −0.00641218 | − | 0.00538046i | ||||
\(261\) | 1.73606 | + | 9.84570i | 0.107460 | + | 0.609433i | ||||
\(262\) | 0.843945 | − | 4.78625i | 0.0521391 | − | 0.295695i | ||||
\(263\) | 2.87025 | + | 16.2780i | 0.176987 | + | 1.00374i | 0.935825 | + | 0.352464i | \(0.114656\pi\) |
−0.758838 | + | 0.651279i | \(0.774233\pi\) | |||||||
\(264\) | −3.25108 | + | 2.72798i | −0.200090 | + | 0.167896i | ||||
\(265\) | 0.519291 | 0.0318998 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −4.44107 | −0.271789 | ||||||||
\(268\) | −4.57314 | + | 3.83732i | −0.279349 | + | 0.234402i | ||||
\(269\) | −5.08894 | − | 28.8608i | −0.310278 | − | 1.75968i | −0.597554 | − | 0.801829i | \(-0.703861\pi\) |
0.287276 | − | 0.957848i | \(-0.407250\pi\) | |||||||
\(270\) | −0.103567 | + | 0.587359i | −0.00630291 | + | 0.0357456i | ||||
\(271\) | 4.83842 | + | 27.4400i | 0.293913 | + | 1.66686i | 0.671587 | + | 0.740926i | \(0.265613\pi\) |
−0.377674 | + | 0.925939i | \(0.623276\pi\) | |||||||
\(272\) | 2.35120 | + | 1.97289i | 0.142562 | + | 0.119624i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −17.3601 | − | 30.0685i | −1.04876 | − | 1.81650i | ||||
\(275\) | 8.40771 | − | 3.06016i | 0.507004 | − | 0.184534i | ||||
\(276\) | −0.799087 | − | 0.670514i | −0.0480994 | − | 0.0403602i | ||||
\(277\) | 6.40558 | 0.384874 | 0.192437 | − | 0.981309i | \(-0.438361\pi\) | ||||
0.192437 | + | 0.981309i | \(0.438361\pi\) | |||||||
\(278\) | −11.4296 | −0.685503 | ||||||||
\(279\) | 9.21719 | + | 7.73414i | 0.551819 | + | 0.463031i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −0.456698 | + | 0.166224i | −0.0272443 | + | 0.00991612i | −0.355606 | − | 0.934636i | \(-0.615726\pi\) |
0.328362 | + | 0.944552i | \(0.393503\pi\) | |||||||
\(282\) | 2.28701 | + | 0.832405i | 0.136190 | + | 0.0495690i | ||||
\(283\) | 24.7557 | + | 9.01035i | 1.47158 | + | 0.535610i | 0.948528 | − | 0.316693i | \(-0.102573\pi\) |
0.523048 | + | 0.852303i | \(0.324795\pi\) | |||||||
\(284\) | 3.80928 | − | 6.59787i | 0.226039 | − | 0.391512i | ||||
\(285\) | −0.0546486 | − | 0.325470i | −0.00323711 | − | 0.0192792i | ||||
\(286\) | −8.64773 | −0.511351 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 4.97622 | − | 4.17554i | 0.293226 | − | 0.246046i | ||||
\(289\) | −12.7191 | − | 10.6726i | −0.748182 | − | 0.627799i | ||||
\(290\) | −0.475850 | + | 0.399285i | −0.0279428 | + | 0.0234468i | ||||
\(291\) | 5.40550 | − | 1.96744i | 0.316876 | − | 0.115333i | ||||
\(292\) | −7.25445 | −0.424534 | ||||||||
\(293\) | 15.7393 | + | 27.2613i | 0.919500 | + | 1.59262i | 0.800176 | + | 0.599765i | \(0.204739\pi\) |
0.119324 | + | 0.992855i | \(0.461927\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0.169455 | − | 0.961026i | 0.00986605 | − | 0.0559531i | ||||
\(296\) | 0.761010 | − | 1.31811i | 0.0442328 | − | 0.0766135i | ||||
\(297\) | 4.66613 | + | 8.08197i | 0.270756 | + | 0.468963i | ||||
\(298\) | −12.3243 | + | 4.48567i | −0.713926 | + | 0.259848i | ||||
\(299\) | 0.773169 | + | 4.38486i | 0.0447135 | + | 0.253583i | ||||
\(300\) | 3.26359 | − | 1.18785i | 0.188423 | − | 0.0685805i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 5.71195 | + | 32.3941i | 0.328686 | + | 1.86407i | ||||
\(303\) | −2.68255 | − | 4.64631i | −0.154108 | − | 0.266924i | ||||
\(304\) | −10.7746 | + | 18.3147i | −0.617968 | + | 1.05042i | ||||
\(305\) | 0.00591427 | − | 0.0102438i | 0.000338650 | − | 0.000586559i | ||||
\(306\) | 1.44557 | − | 1.21298i | 0.0826379 | − | 0.0693415i | ||||
\(307\) | −13.1843 | + | 11.0629i | −0.752468 | + | 0.631395i | −0.936154 | − | 0.351589i | \(-0.885641\pi\) |
0.183687 | + | 0.982985i | \(0.441197\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 3.03443 | + | 1.10444i | 0.172622 | + | 0.0628294i | ||||
\(310\) | −0.129818 | + | 0.736236i | −0.00737318 | + | 0.0418154i | ||||
\(311\) | 14.3737 | + | 24.8960i | 0.815058 | + | 1.41172i | 0.909286 | + | 0.416172i | \(0.136629\pi\) |
−0.0942276 | + | 0.995551i | \(0.530038\pi\) | |||||||
\(312\) | 7.03163 | 0.398088 | ||||||||
\(313\) | 6.64201 | − | 2.41749i | 0.375429 | − | 0.136645i | −0.147412 | − | 0.989075i | \(-0.547094\pi\) |
0.522841 | + | 0.852430i | \(0.324872\pi\) | |||||||
\(314\) | 6.48870 | − | 36.7992i | 0.366179 | − | 2.07670i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −3.38648 | + | 5.86555i | −0.190504 | + | 0.329963i | ||||
\(317\) | −1.09767 | + | 6.22521i | −0.0616515 | + | 0.349643i | 0.938341 | + | 0.345712i | \(0.112362\pi\) |
−0.999992 | + | 0.00393122i | \(0.998749\pi\) | |||||||
\(318\) | 9.89341 | − | 8.30156i | 0.554795 | − | 0.465528i | ||||
\(319\) | −1.68780 | + | 9.57197i | −0.0944984 | + | 0.535927i | ||||
\(320\) | −0.265461 | − | 0.0966201i | −0.0148397 | − | 0.00540123i | ||||
\(321\) | −2.33885 | − | 13.2643i | −0.130542 | − | 0.740340i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −1.39160 | + | 2.36543i | −0.0774306 | + | 0.131616i | ||||
\(324\) | 0.0251953 | + | 0.0436396i | 0.00139974 | + | 0.00242442i | ||||
\(325\) | −13.9303 | − | 5.07020i | −0.772712 | − | 0.281244i | ||||
\(326\) | −5.09172 | − | 28.8766i | −0.282004 | − | 1.59933i | ||||
\(327\) | −11.5700 | − | 9.70836i | −0.639821 | − | 0.536874i | ||||
\(328\) | 13.9222 | + | 5.06728i | 0.768727 | + | 0.279794i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | −0.110308 | + | 0.191060i | −0.00607228 | + | 0.0105175i | ||||
\(331\) | −7.82141 | + | 13.5471i | −0.429904 | + | 0.744615i | −0.996864 | − | 0.0791297i | \(-0.974786\pi\) |
0.566960 | + | 0.823745i | \(0.308119\pi\) | |||||||
\(332\) | −3.34512 | − | 2.80689i | −0.183587 | − | 0.154048i | ||||
\(333\) | −0.975480 | − | 0.818525i | −0.0534560 | − | 0.0448549i | ||||
\(334\) | 2.98980 | − | 5.17849i | 0.163595 | − | 0.283354i | ||||
\(335\) | 0.325036 | − | 0.562979i | 0.0177586 | − | 0.0307588i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −7.04290 | − | 2.56341i | −0.383651 | − | 0.139638i | 0.142992 | − | 0.989724i | \(-0.454328\pi\) |
−0.526644 | + | 0.850086i | \(0.676550\pi\) | |||||||
\(338\) | −5.22408 | − | 4.38353i | −0.284153 | − | 0.238432i | ||||
\(339\) | −0.0785624 | − | 0.445550i | −0.00426693 | − | 0.0241989i | ||||
\(340\) | 0.0269069 | + | 0.00979330i | 0.00145923 | + | 0.000531116i | ||||
\(341\) | 5.84884 | + | 10.1305i | 0.316732 | + | 0.548596i | ||||
\(342\) | 9.93892 | + | 8.47921i | 0.537435 | + | 0.458503i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −0.721338 | − | 4.09091i | −0.0388920 | − | 0.220567i | ||||
\(345\) | 0.106740 | + | 0.0388502i | 0.00574669 | + | 0.00209162i | ||||
\(346\) | −3.05167 | + | 17.3069i | −0.164059 | + | 0.930425i | ||||
\(347\) | 6.50814 | − | 5.46098i | 0.349375 | − | 0.293161i | −0.451164 | − | 0.892441i | \(-0.648991\pi\) |
0.800539 | + | 0.599280i | \(0.204547\pi\) | |||||||
\(348\) | −0.655145 | + | 3.71551i | −0.0351195 | + | 0.199172i | ||||
\(349\) | −0.310773 | + | 0.538275i | −0.0166353 | + | 0.0288132i | −0.874223 | − | 0.485524i | \(-0.838629\pi\) |
0.857588 | + | 0.514337i | \(0.171962\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 2.68496 | − | 15.2272i | 0.143313 | − | 0.812767i | ||||
\(352\) | 5.93452 | − | 2.15999i | 0.316311 | − | 0.115128i | ||||
\(353\) | −26.3254 | −1.40116 | −0.700580 | − | 0.713574i | \(-0.747075\pi\) | ||||
−0.700580 | + | 0.713574i | \(0.747075\pi\) | |||||||
\(354\) | −12.1349 | − | 21.0182i | −0.644961 | − | 1.11711i | ||||
\(355\) | −0.144060 | + | 0.817007i | −0.00764593 | + | 0.0433622i | ||||
\(356\) | 2.50672 | + | 0.912373i | 0.132856 | + | 0.0483557i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −2.58142 | + | 2.16607i | −0.136433 | + | 0.114480i | ||||
\(359\) | −6.69052 | + | 5.61401i | −0.353112 | + | 0.296296i | −0.802038 | − | 0.597273i | \(-0.796251\pi\) |
0.448926 | + | 0.893569i | \(0.351807\pi\) | |||||||
\(360\) | −0.142766 | + | 0.247277i | −0.00752441 | + | 0.0130327i | ||||
\(361\) | −17.7455 | − | 6.78951i | −0.933973 | − | 0.357343i | ||||
\(362\) | −0.918479 | − | 1.59085i | −0.0482742 | − | 0.0836134i | ||||
\(363\) | −1.45566 | − | 8.25543i | −0.0764021 | − | 0.433298i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 0.742320 | − | 0.270182i | 0.0388548 | − | 0.0141420i | ||||
\(366\) | −0.0510837 | − | 0.289710i | −0.00267019 | − | 0.0151434i | ||||
\(367\) | −7.95647 | + | 2.89592i | −0.415324 | + | 0.151166i | −0.541226 | − | 0.840877i | \(-0.682040\pi\) |
0.125902 | + | 0.992043i | \(0.459818\pi\) | |||||||
\(368\) | −3.65681 | − | 6.33378i | −0.190624 | − | 0.330171i | ||||
\(369\) | 6.19780 | − | 10.7349i | 0.322644 | − | 0.558837i | ||||
\(370\) | 0.0137390 | − | 0.0779178i | 0.000714257 | − | 0.00405075i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 2.27032 | + | 3.93231i | 0.117711 | + | 0.203881i | ||||
\(373\) | −23.7498 | −1.22972 | −0.614859 | − | 0.788637i | \(-0.710787\pi\) | ||||
−0.614859 | + | 0.788637i | \(0.710787\pi\) | |||||||
\(374\) | 1.72396 | − | 0.627469i | 0.0891438 | − | 0.0324457i | ||||
\(375\) | −0.579709 | + | 0.486433i | −0.0299360 | + | 0.0251193i | ||||
\(376\) | 2.34588 | + | 1.96843i | 0.120980 | + | 0.101514i | ||||
\(377\) | 12.3363 | − | 10.3514i | 0.635352 | − | 0.533124i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 18.7476 | 0.962999 | 0.481500 | − | 0.876446i | \(-0.340092\pi\) | ||||
0.481500 | + | 0.876446i | \(0.340092\pi\) | |||||||
\(380\) | −0.0360185 | + | 0.194936i | −0.00184771 | + | 0.00999999i | ||||
\(381\) | −6.63737 | + | 11.4963i | −0.340043 | + | 0.588972i | ||||
\(382\) | 0.460786 | + | 0.167712i | 0.0235758 | + | 0.00858091i | ||||
\(383\) | 12.4114 | + | 4.51739i | 0.634194 | + | 0.230828i | 0.639056 | − | 0.769161i | \(-0.279325\pi\) |
−0.00486193 | + | 0.999988i | \(0.501548\pi\) | |||||||
\(384\) | −13.7312 | + | 4.99774i | −0.700716 | + | 0.255040i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 3.84288 | + | 3.22456i | 0.195598 | + | 0.164126i | ||||
\(387\) | −3.47546 | −0.176668 | ||||||||
\(388\) | −3.45528 | −0.175415 | ||||||||
\(389\) | 7.33943 | + | 6.15852i | 0.372124 | + | 0.312249i | 0.809601 | − | 0.586980i | \(-0.199683\pi\) |
−0.437477 | + | 0.899230i | \(0.644128\pi\) | |||||||
\(390\) | 0.343484 | − | 0.125018i | 0.0173930 | − | 0.00633053i | ||||
\(391\) | −0.472295 | − | 0.818038i | −0.0238850 | − | 0.0413700i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 2.46235 | + | 2.06616i | 0.124209 | + | 0.104224i | ||||
\(394\) | 7.88689 | + | 44.7288i | 0.397336 | + | 2.25340i | ||||
\(395\) | 0.128071 | − | 0.726325i | 0.00644393 | − | 0.0365454i | ||||
\(396\) | −0.370358 | − | 2.10041i | −0.0186112 | − | 0.105549i | ||||
\(397\) | 12.7643 | − | 10.7106i | 0.640624 | − | 0.537548i | −0.263586 | − | 0.964636i | \(-0.584905\pi\) |
0.904210 | + | 0.427088i | \(0.140461\pi\) | |||||||
\(398\) | −2.40659 | −0.120631 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 24.3502 | 1.21751 | ||||||||
\(401\) | 15.3930 | − | 12.9162i | 0.768688 | − | 0.645006i | −0.171685 | − | 0.985152i | \(-0.554921\pi\) |
0.940373 | + | 0.340146i | \(0.110477\pi\) | |||||||
\(402\) | −2.80746 | − | 15.9219i | −0.140023 | − | 0.794111i | ||||
\(403\) | 3.36551 | − | 19.0868i | 0.167648 | − | 0.950780i | ||||
\(404\) | 0.559605 | + | 3.17368i | 0.0278414 | + | 0.157896i | ||||
\(405\) | −0.00420344 | − | 0.00352710i | −0.000208871 | − | 0.000175263i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −0.618998 | − | 1.07214i | −0.0306826 | − | 0.0531438i | ||||
\(408\) | −1.40178 | + | 0.510207i | −0.0693986 | + | 0.0252590i | ||||
\(409\) | −8.03215 | − | 6.73977i | −0.397164 | − | 0.333260i | 0.422232 | − | 0.906488i | \(-0.361247\pi\) |
−0.819396 | + | 0.573227i | \(0.805691\pi\) | |||||||
\(410\) | 0.770173 | 0.0380361 | ||||||||
\(411\) | 22.9633 | 1.13270 | ||||||||
\(412\) | −1.48586 | − | 1.24679i | −0.0732031 | − | 0.0614247i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −4.22541 | + | 1.53792i | −0.207668 | + | 0.0755849i | ||||
\(415\) | 0.446832 | + | 0.162634i | 0.0219341 | + | 0.00798337i | ||||
\(416\) | −9.83258 | − | 3.57877i | −0.482082 | − | 0.175464i | ||||
\(417\) | 3.77968 | − | 6.54659i | 0.185092 | − | 0.320588i | ||||
\(418\) | 6.26044 | + | 11.0511i | 0.306208 | + | 0.540528i | ||||
\(419\) | −13.0830 | −0.639145 | −0.319573 | − | 0.947562i | \(-0.603539\pi\) | ||||
−0.319573 | + | 0.947562i | \(0.603539\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 18.1411 | − | 15.2222i | 0.884144 | − | 0.741885i | −0.0828825 | − | 0.996559i | \(-0.526413\pi\) |
0.967027 | + | 0.254674i | \(0.0819682\pi\) | |||||||
\(422\) | −34.3743 | − | 28.8434i | −1.67331 | − | 1.40408i | ||||
\(423\) | 1.96269 | − | 1.64689i | 0.0954290 | − | 0.0800745i | ||||
\(424\) | 15.2703 | − | 5.55794i | 0.741591 | − | 0.269917i | ||||
\(425\) | 3.14494 | 0.152552 | ||||||||
\(426\) | 10.3163 | + | 17.8684i | 0.499828 | + | 0.865727i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −1.40487 | + | 7.96741i | −0.0679069 | + | 0.385119i | ||||
\(429\) | 2.85973 | − | 4.95319i | 0.138069 | − | 0.239142i | ||||
\(430\) | −0.107970 | − | 0.187010i | −0.00520678 | − | 0.00901841i | ||||
\(431\) | 6.93525 | − | 2.52422i | 0.334059 | − | 0.121588i | −0.169544 | − | 0.985523i | \(-0.554230\pi\) |
0.503603 | + | 0.863935i | \(0.332007\pi\) | |||||||
\(432\) | 4.41029 | + | 25.0120i | 0.212190 | + | 1.20339i | ||||
\(433\) | 32.5494 | − | 11.8470i | 1.56423 | − | 0.569331i | 0.592526 | − | 0.805551i | \(-0.298131\pi\) |
0.971700 | + | 0.236220i | \(0.0759086\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −0.0713409 | − | 0.404594i | −0.00342053 | − | 0.0193988i | ||||
\(436\) | 4.53609 | + | 7.85674i | 0.217239 | + | 0.376270i | ||||
\(437\) | 5.04378 | − | 4.16243i | 0.241277 | − | 0.199116i | ||||
\(438\) | 9.82328 | − | 17.0144i | 0.469374 | − | 0.812980i | ||||
\(439\) | 24.7303 | − | 20.7512i | 1.18031 | − | 0.990400i | 0.180335 | − | 0.983605i | \(-0.442282\pi\) |
0.999977 | − | 0.00679434i | \(-0.00216272\pi\) | |||||||
\(440\) | −0.212649 | + | 0.178433i | −0.0101376 | + | 0.00850647i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −2.85633 | − | 1.03962i | −0.135862 | − | 0.0494496i | ||||
\(443\) | −2.87278 | + | 16.2923i | −0.136490 | + | 0.774071i | 0.837321 | + | 0.546711i | \(0.184121\pi\) |
−0.973811 | + | 0.227360i | \(0.926991\pi\) | |||||||
\(444\) | −0.240274 | − | 0.416167i | −0.0114029 | − | 0.0197504i | ||||
\(445\) | −0.290484 | −0.0137702 | ||||||||
\(446\) | 13.6360 | − | 4.96309i | 0.645683 | − | 0.235009i | ||||
\(447\) | 1.50626 | − | 8.54240i | 0.0712434 | − | 0.404042i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −18.1680 | + | 31.4678i | −0.857399 | + | 1.48506i | 0.0170021 | + | 0.999855i | \(0.494588\pi\) |
−0.874401 | + | 0.485204i | \(0.838746\pi\) | |||||||
\(450\) | 2.59970 | − | 14.7436i | 0.122551 | − | 0.695021i | ||||
\(451\) | 9.23158 | − | 7.74622i | 0.434698 | − | 0.364755i | ||||
\(452\) | −0.0471898 | + | 0.267627i | −0.00221962 | + | 0.0125881i | ||||
\(453\) | −20.4434 | − | 7.44079i | −0.960514 | − | 0.349599i | ||||
\(454\) | −7.15940 | − | 40.6030i | −0.336007 | − | 1.90559i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −5.09048 | − | 8.98588i | −0.238383 | − | 0.420802i | ||||
\(457\) | −13.3009 | − | 23.0378i | −0.622188 | − | 1.07766i | −0.989077 | − | 0.147397i | \(-0.952911\pi\) |
0.366889 | − | 0.930265i | \(-0.380423\pi\) | |||||||
\(458\) | −37.9756 | − | 13.8220i | −1.77448 | − | 0.645858i | ||||
\(459\) | 0.569610 | + | 3.23042i | 0.0265871 | + | 0.150783i | ||||
\(460\) | −0.0522671 | − | 0.0438573i | −0.00243697 | − | 0.00204486i | ||||
\(461\) | 0.0577102 | + | 0.0210048i | 0.00268783 | + | 0.000978292i | 0.343364 | − | 0.939203i | \(-0.388434\pi\) |
−0.340676 | + | 0.940181i | \(0.610656\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 6.51380 | − | 11.2822i | 0.302722 | − | 0.524329i | −0.674030 | − | 0.738704i | \(-0.735438\pi\) |
0.976751 | + | 0.214375i | \(0.0687714\pi\) | |||||||
\(464\) | −13.2260 | + | 22.9082i | −0.614003 | + | 1.06349i | ||||
\(465\) | −0.378767 | − | 0.317823i | −0.0175649 | − | 0.0147387i | ||||
\(466\) | 19.7125 | + | 16.5408i | 0.913166 | + | 0.766237i | ||||
\(467\) | −7.77568 | + | 13.4679i | −0.359815 | + | 0.623219i | −0.987930 | − | 0.154902i | \(-0.950494\pi\) |
0.628114 | + | 0.778121i | \(0.283827\pi\) | |||||||
\(468\) | −1.76687 | + | 3.06030i | −0.0816734 | + | 0.141462i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 0.149590 | + | 0.0544464i | 0.00690008 | + | 0.00251142i | ||||
\(471\) | 18.9319 | + | 15.8857i | 0.872336 | + | 0.731977i | ||||
\(472\) | −5.30280 | − | 30.0737i | −0.244081 | − | 1.38425i | ||||
\(473\) | −3.17507 | − | 1.15563i | −0.145990 | − | 0.0531360i | ||||
\(474\) | −9.17129 | − | 15.8851i | −0.421251 | − | 0.729629i | ||||
\(475\) | 3.60535 | + | 21.4723i | 0.165425 | + | 0.985218i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −2.36089 | − | 13.3893i | −0.108098 | − | 0.613053i | ||||
\(478\) | −6.12629 | − | 2.22979i | −0.280210 | − | 0.101988i | ||||
\(479\) | −5.21980 | + | 29.6030i | −0.238499 | + | 1.35259i | 0.596620 | + | 0.802524i | \(0.296510\pi\) |
−0.835119 | + | 0.550070i | \(0.814601\pi\) | |||||||
\(480\) | −0.204490 | + | 0.171588i | −0.00933366 | + | 0.00783187i | ||||
\(481\) | −0.356181 | + | 2.02000i | −0.0162405 | + | 0.0921043i | ||||
\(482\) | 18.4207 | − | 31.9056i | 0.839039 | − | 1.45326i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −0.874363 | + | 4.95876i | −0.0397438 | + | 0.225398i | ||||
\(485\) | 0.353566 | − | 0.128687i | 0.0160546 | − | 0.00584340i | ||||
\(486\) | 25.2891 | 1.14714 | ||||||||
\(487\) | −6.20455 | − | 10.7466i | −0.281155 | − | 0.486975i | 0.690515 | − | 0.723319i | \(-0.257384\pi\) |
−0.971669 | + | 0.236344i | \(0.924051\pi\) | |||||||
\(488\) | 0.0642765 | − | 0.364530i | 0.00290966 | − | 0.0165015i | ||||
\(489\) | 18.2236 | + | 6.63283i | 0.824097 | + | 0.299947i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 31.3999 | − | 26.3477i | 1.41706 | − | 1.18905i | 0.464165 | − | 0.885749i | \(-0.346355\pi\) |
0.952894 | − | 0.303304i | \(-0.0980898\pi\) | |||||||
\(492\) | 3.58339 | − | 3.00682i | 0.161552 | − | 0.135558i | ||||
\(493\) | −1.70821 | + | 2.95870i | −0.0769338 | + | 0.133253i | ||||
\(494\) | 3.82359 | − | 20.6936i | 0.172031 | − | 0.931050i | ||||
\(495\) | 0.116124 | + | 0.201133i | 0.00521939 | + | 0.00904025i | ||||
\(496\) | 5.52815 | + | 31.3517i | 0.248221 | + | 1.40773i | ||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 11.1129 | − | 4.04475i | 0.497979 | − | 0.181250i | ||||
\(499\) | 1.28902 | + | 7.31037i | 0.0577042 | + | 0.327257i | 0.999971 | − | 0.00760595i | \(-0.00242107\pi\) |
−0.942267 | + | 0.334863i | \(0.891310\pi\) | |||||||
\(500\) | 0.427145 | − | 0.155468i | 0.0191025 | − | 0.00695274i | ||||
\(501\) | 1.97740 | + | 3.42496i | 0.0883439 | + | 0.153016i | ||||
\(502\) | −22.2074 | + | 38.4643i | −0.991164 | + | 1.71675i | ||||
\(503\) | 3.81927 | − | 21.6602i | 0.170293 | − | 0.965779i | −0.773145 | − | 0.634229i | \(-0.781318\pi\) |
0.943438 | − | 0.331549i | \(-0.107571\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −0.175462 | − | 0.303908i | −0.00780794 | − | 0.0135237i | ||||
\(506\) | −4.37158 | −0.194340 | ||||||||
\(507\) | 4.23833 | − | 1.54263i | 0.188231 | − | 0.0685104i | ||||
\(508\) | 6.10821 | − | 5.12539i | 0.271008 | − | 0.227403i | ||||
\(509\) | −2.62670 | − | 2.20406i | −0.116426 | − | 0.0976933i | 0.582716 | − | 0.812676i | \(-0.301990\pi\) |
−0.699142 | + | 0.714983i | \(0.746435\pi\) | |||||||
\(510\) | −0.0594037 | + | 0.0498456i | −0.00263044 | + | 0.00220720i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −4.28328 | −0.189296 | ||||||||
\(513\) | −21.4029 | + | 7.59240i | −0.944962 | + | 0.335213i | ||||
\(514\) | −10.2144 | + | 17.6919i | −0.450539 | + | 0.780356i | ||||
\(515\) | 0.198477 | + | 0.0722398i | 0.00874596 | + | 0.00318327i | ||||
\(516\) | −1.23246 | − | 0.448577i | −0.0542558 | − | 0.0197475i | ||||
\(517\) | 2.34065 | − | 0.851929i | 0.102942 | − | 0.0374678i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −8.90378 | − | 7.47116i | −0.390833 | − | 0.327948i | ||||
\(520\) | 0.459928 | 0.0201692 | ||||||||
\(521\) | −12.7564 | −0.558868 | −0.279434 | − | 0.960165i | \(-0.590147\pi\) | ||||
−0.279434 | + | 0.960165i | \(0.590147\pi\) | |||||||
\(522\) | 12.4585 | + | 10.4539i | 0.545292 | + | 0.457555i | ||||
\(523\) | 17.6940 | − | 6.44008i | 0.773703 | − | 0.281605i | 0.0751586 | − | 0.997172i | \(-0.476054\pi\) |
0.698544 | + | 0.715567i | \(0.253831\pi\) | |||||||
\(524\) | −0.965384 | − | 1.67209i | −0.0421730 | − | 0.0730457i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 20.5977 | + | 17.2835i | 0.898103 | + | 0.753597i | ||||
\(527\) | 0.713987 | + | 4.04922i | 0.0311018 | + | 0.176387i | ||||
\(528\) | −1.63137 | + | 9.25198i | −0.0709964 | + | 0.402641i | ||||
\(529\) | −3.60306 | − | 20.4340i | −0.156655 | − | 0.888433i | ||||
\(530\) | 0.647114 | − | 0.542993i | 0.0281088 | − | 0.0235861i | ||||
\(531\) | −25.5493 | −1.10874 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −19.9666 | −0.864849 | ||||||||
\(534\) | −5.53422 | + | 4.64377i | −0.239489 | + | 0.200955i | ||||
\(535\) | −0.152981 | − | 0.867597i | −0.00661394 | − | 0.0375095i | ||||
\(536\) | 3.53250 | − | 20.0338i | 0.152581 | − | 0.865329i | ||||
\(537\) | −0.387016 | − | 2.19487i | −0.0167010 | − | 0.0947158i | ||||
\(538\) | −36.5197 | − | 30.6437i | −1.57448 | − | 1.32114i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0.118470 | + | 0.205196i | 0.00509814 | + | 0.00883024i | ||||
\(541\) | 28.9515 | − | 10.5375i | 1.24472 | − | 0.453042i | 0.366107 | − | 0.930573i | \(-0.380690\pi\) |
0.878615 | + | 0.477531i | \(0.158468\pi\) | |||||||
\(542\) | 34.7219 | + | 29.1351i | 1.49143 | + | 1.25146i | ||||
\(543\) | 1.21493 | 0.0521377 | ||||||||
\(544\) | 2.21984 | 0.0951747 | ||||||||
\(545\) | −0.756775 | − | 0.635009i | −0.0324167 | − | 0.0272008i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −9.70626 | + | 3.53279i | −0.415010 | + | 0.151051i | −0.541082 | − | 0.840970i | \(-0.681985\pi\) |
0.126072 | + | 0.992021i | \(0.459763\pi\) | |||||||
\(548\) | −12.9614 | − | 4.71758i | −0.553685 | − | 0.201525i | ||||
\(549\) | −0.291013 | − | 0.105920i | −0.0124201 | − | 0.00452055i | ||||
\(550\) | 7.27742 | − | 12.6049i | 0.310310 | − | 0.537473i | ||||
\(551\) | −22.1590 | − | 8.27106i | −0.944007 | − | 0.352359i | ||||
\(552\) | 3.55461 | 0.151294 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 7.98230 | − | 6.69794i | 0.339135 | − | 0.284568i | ||||
\(555\) | 0.0400859 | + | 0.0336361i | 0.00170155 | + | 0.00142777i | ||||
\(556\) | −3.47834 | + | 2.91867i | −0.147514 | + | 0.123779i | ||||
\(557\) | 19.5537 | − | 7.11696i | 0.828516 | − | 0.301555i | 0.107267 | − | 0.994230i | \(-0.465790\pi\) |
0.721250 | + | 0.692675i | \(0.243568\pi\) | |||||||
\(558\) | 19.5731 | 0.828597 | ||||||||
\(559\) | 2.79911 | + | 4.84819i | 0.118390 | + | 0.205057i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −0.210700 | + | 1.19494i | −0.00889575 | + | 0.0504503i | ||||
\(562\) | −0.395302 | + | 0.684683i | −0.0166748 | + | 0.0288816i | ||||
\(563\) | 8.57899 | + | 14.8592i | 0.361561 | + | 0.626242i | 0.988218 | − | 0.153053i | \(-0.0489105\pi\) |
−0.626657 | + | 0.779295i | \(0.715577\pi\) | |||||||
\(564\) | 0.908563 | − | 0.330690i | 0.0382574 | − | 0.0139246i | ||||
\(565\) | −0.00513865 | − | 0.0291428i | −0.000216185 | − | 0.00122604i | ||||
\(566\) | 40.2709 | − | 14.6574i | 1.69271 | − | 0.616097i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 4.50812 | + | 25.5668i | 0.189156 | + | 1.07276i | ||||
\(569\) | 11.8999 | + | 20.6112i | 0.498869 | + | 0.864066i | 0.999999 | − | 0.00130568i | \(-0.000415612\pi\) |
−0.501130 | + | 0.865372i | \(0.667082\pi\) | |||||||
\(570\) | −0.408425 | − | 0.348440i | −0.0171070 | − | 0.0145946i | ||||
\(571\) | 5.34982 | − | 9.26617i | 0.223883 | − | 0.387777i | −0.732101 | − | 0.681196i | \(-0.761460\pi\) |
0.955984 | + | 0.293419i | \(0.0947933\pi\) | |||||||
\(572\) | −2.63173 | + | 2.20829i | −0.110038 | + | 0.0923331i | ||||
\(573\) | −0.248439 | + | 0.208465i | −0.0103787 | + | 0.00870876i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −7.04199 | − | 2.56308i | −0.293671 | − | 0.106888i | ||||
\(576\) | −1.28434 | + | 7.28387i | −0.0535143 | + | 0.303494i | ||||
\(577\) | 10.8671 | + | 18.8224i | 0.452404 | + | 0.783586i | 0.998535 | − | 0.0541136i | \(-0.0172333\pi\) |
−0.546131 | + | 0.837700i | \(0.683900\pi\) | |||||||
\(578\) | −27.0096 | −1.12345 | ||||||||
\(579\) | −3.11775 | + | 1.13477i | −0.129569 | + | 0.0471594i | ||||
\(580\) | −0.0428521 | + | 0.243026i | −0.00177934 | + | 0.0100911i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 4.67881 | − | 8.10394i | 0.193943 | − | 0.335919i | ||||
\(583\) | 2.29525 | − | 13.0170i | 0.0950597 | − | 0.539111i | ||||
\(584\) | 18.9369 | − | 15.8900i | 0.783616 | − | 0.657532i | ||||
\(585\) | 0.0668197 | − | 0.378953i | 0.00276265 | − | 0.0156678i | ||||
\(586\) | 48.1190 | + | 17.5139i | 1.98778 | + | 0.723492i | ||||
\(587\) | 4.64746 | + | 26.3570i | 0.191821 | + | 1.08787i | 0.916873 | + | 0.399178i | \(0.130704\pi\) |
−0.725052 | + | 0.688694i | \(0.758184\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −26.8279 | + | 9.51682i | −1.10542 | + | 0.392134i | ||||
\(590\) | −0.793724 | − | 1.37477i | −0.0326771 | − | 0.0565984i | ||||
\(591\) | −28.2276 | − | 10.2740i | −1.16113 | − | 0.422616i | ||||
\(592\) | −0.585059 | − | 3.31803i | −0.0240458 | − | 0.136370i | ||||
\(593\) | −25.8963 | − | 21.7296i | −1.06344 | − | 0.892328i | −0.0689937 | − | 0.997617i | \(-0.521979\pi\) |
−0.994442 | + | 0.105289i | \(0.966423\pi\) | |||||||
\(594\) | 14.2655 | + | 5.19223i | 0.585322 | + | 0.213040i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −2.60514 | + | 4.51224i | −0.106711 | + | 0.184829i | ||||
\(597\) | 0.795838 | − | 1.37843i | 0.0325715 | − | 0.0564155i | ||||
\(598\) | 5.54848 | + | 4.65572i | 0.226894 | + | 0.190387i | ||||
\(599\) | 2.12606 | + | 1.78397i | 0.0868684 | + | 0.0728912i | 0.685188 | − | 0.728366i | \(-0.259720\pi\) |
−0.598319 | + | 0.801258i | \(0.704165\pi\) | |||||||
\(600\) | −5.91741 | + | 10.2493i | −0.241577 | + | 0.418424i | ||||
\(601\) | −18.6256 | + | 32.2605i | −0.759755 | + | 1.31594i | 0.183220 | + | 0.983072i | \(0.441348\pi\) |
−0.942975 | + | 0.332863i | \(0.891985\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −15.9934 | − | 5.82114i | −0.651304 | − | 0.237055i | ||||
\(604\) | 10.0105 | + | 8.39978i | 0.407320 | + | 0.341782i | ||||
\(605\) | −0.0952123 | − | 0.539976i | −0.00387093 | − | 0.0219531i | ||||
\(606\) | −8.20123 | − | 2.98501i | −0.333152 | − | 0.121258i | ||||
\(607\) | 19.1436 | + | 33.1578i | 0.777016 | + | 1.34583i | 0.933654 | + | 0.358176i | \(0.116601\pi\) |
−0.156638 | + | 0.987656i | \(0.550066\pi\) | |||||||
\(608\) | 2.54481 | + | 15.1561i | 0.103206 | + | 0.614661i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −0.00334131 | − | 0.0189495i | −0.000135286 | − | 0.000767244i | ||||
\(611\) | −3.87810 | − | 1.41151i | −0.156891 | − | 0.0571037i | ||||
\(612\) | 0.130180 | − | 0.738285i | 0.00526219 | − | 0.0298434i | ||||
\(613\) | 14.6387 | − | 12.2833i | 0.591252 | − | 0.496119i | −0.297368 | − | 0.954763i | \(-0.596109\pi\) |
0.888620 | + | 0.458644i | \(0.151665\pi\) | |||||||
\(614\) | −4.86171 | + | 27.5721i | −0.196203 | + | 1.11272i | ||||
\(615\) | −0.254689 | + | 0.441135i | −0.0102701 | + | 0.0177883i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −0.242442 | + | 1.37496i | −0.00976036 | + | 0.0553538i | −0.989299 | − | 0.145903i | \(-0.953391\pi\) |
0.979539 | + | 0.201256i | \(0.0645025\pi\) | |||||||
\(618\) | 4.93619 | − | 1.79663i | 0.198563 | − | 0.0722710i | ||||
\(619\) | −36.2980 | −1.45894 | −0.729469 | − | 0.684013i | \(-0.760233\pi\) | ||||
−0.729469 | + | 0.684013i | \(0.760233\pi\) | |||||||
\(620\) | 0.148498 | + | 0.257207i | 0.00596384 | + | 0.0103297i | ||||
\(621\) | 1.35730 | − | 7.69761i | 0.0544664 | − | 0.308894i | ||||
\(622\) | 43.9441 | + | 15.9943i | 1.76200 | + | 0.641314i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 11.9239 | − | 10.0053i | 0.477338 | − | 0.400535i | ||||
\(625\) | 19.0942 | − | 16.0220i | 0.763769 | − | 0.640878i | ||||
\(626\) | 5.74909 | − | 9.95772i | 0.229780 | − | 0.397991i | ||||
\(627\) | −8.40007 | − | 0.0686949i | −0.335467 | − | 0.00274341i | ||||
\(628\) | −7.42239 | − | 12.8560i | −0.296186 | − | 0.513008i | ||||
\(629\) | −0.0755631 | − | 0.428540i | −0.00301290 | − | 0.0170870i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 15.0984 | − | 5.49536i | 0.601057 | − | 0.218767i | −0.0235288 | − | 0.999723i | \(-0.507490\pi\) |
0.624586 | + | 0.780956i | \(0.285268\pi\) | |||||||
\(632\) | −4.00775 | − | 22.7291i | −0.159420 | − | 0.904114i | ||||
\(633\) | 27.8880 | − | 10.1504i | 1.10845 | − | 0.403443i | ||||
\(634\) | 5.14148 | + | 8.90531i | 0.204194 | + | 0.353675i | ||||
\(635\) | −0.434141 | + | 0.751954i | −0.0172284 | + | 0.0298404i | ||||
\(636\) | 0.890940 | − | 5.05277i | 0.0353281 | − | 0.200356i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 7.90561 | + | 13.6929i | 0.312986 | + | 0.542108i | ||||
\(639\) | 21.7205 | 0.859248 | ||||||||
\(640\) | −0.898135 | + | 0.326894i | −0.0355019 | + | 0.0129216i | ||||
\(641\) | −29.8014 | + | 25.0064i | −1.17709 | + | 0.987692i | −0.177092 | + | 0.984194i | \(0.556669\pi\) |
−0.999994 | + | 0.00349805i | \(0.998887\pi\) | |||||||
\(642\) | −16.7842 | − | 14.0837i | −0.662421 | − | 0.555838i | ||||
\(643\) | −12.2408 | + | 10.2712i | −0.482729 | + | 0.405058i | −0.851412 | − | 0.524498i | \(-0.824253\pi\) |
0.368683 | + | 0.929555i | \(0.379809\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0.142819 | 0.00562350 | ||||||||
\(646\) | 0.739259 | + | 4.40279i | 0.0290858 | + | 0.173226i | ||||
\(647\) | −0.912483 | + | 1.58047i | −0.0358734 | + | 0.0621346i | −0.883405 | − | 0.468611i | \(-0.844755\pi\) |
0.847531 | + | 0.530745i | \(0.178088\pi\) | |||||||
\(648\) | −0.161357 | − | 0.0587291i | −0.00633870 | − | 0.00230710i | ||||
\(649\) | −23.3410 | − | 8.49543i | −0.916214 | − | 0.333475i | ||||
\(650\) | −22.6608 | + | 8.24785i | −0.888829 | + | 0.323507i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −8.92349 | − | 7.48769i | −0.349471 | − | 0.293241i | ||||
\(653\) | 21.7882 | 0.852639 | 0.426320 | − | 0.904573i | \(-0.359810\pi\) | ||||
0.426320 | + | 0.904573i | \(0.359810\pi\) | |||||||
\(654\) | −24.5694 | −0.960738 | ||||||||
\(655\) | 0.161059 | + | 0.135144i | 0.00629309 | + | 0.00528053i | ||||
\(656\) | 30.8190 | − | 11.2172i | 1.20328 | − | 0.437957i | ||||
\(657\) | −10.3412 | − | 17.9115i | −0.403448 | − | 0.698792i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 13.3023 | + | 11.1620i | 0.518186 | + | 0.434810i | 0.863999 | − | 0.503494i | \(-0.167952\pi\) |
−0.345813 | + | 0.938303i | \(0.612397\pi\) | |||||||
\(660\) | 0.0152193 | + | 0.0863131i | 0.000592411 | + | 0.00335973i | ||||
\(661\) | −5.18450 | + | 29.4028i | −0.201654 | + | 1.14364i | 0.700966 | + | 0.713195i | \(0.252753\pi\) |
−0.902619 | + | 0.430440i | \(0.858358\pi\) | |||||||
\(662\) | 4.41877 | + | 25.0601i | 0.171740 | + | 0.973987i | ||||
\(663\) | 1.54003 | − | 1.29224i | 0.0598098 | − | 0.0501864i | ||||
\(664\) | 14.8802 | 0.577465 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −2.07148 | −0.0802681 | ||||||||
\(667\) | 6.23622 | − | 5.23281i | 0.241467 | − | 0.202615i | ||||
\(668\) | −0.412505 | − | 2.33943i | −0.0159603 | − | 0.0905153i | ||||
\(669\) | −1.66657 | + | 9.45159i | −0.0644334 | + | 0.365420i | ||||
\(670\) | −0.183632 | − | 1.04143i | −0.00709430 | − | 0.0402338i | ||||
\(671\) | −0.230640 | − | 0.193530i | −0.00890376 | − | 0.00747114i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 5.12496 | + | 8.87669i | 0.197553 | + | 0.342171i | 0.947734 | − | 0.319061i | \(-0.103367\pi\) |
−0.750182 | + | 0.661232i | \(0.770034\pi\) | |||||||
\(674\) | −11.4569 | + | 4.16997i | −0.441303 | + | 0.160621i | ||||
\(675\) | 19.9355 | + | 16.7279i | 0.767319 | + | 0.643857i | ||||
\(676\) | −2.70921 | −0.104200 | ||||||||
\(677\) | −27.8896 | −1.07189 | −0.535943 | − | 0.844254i | \(-0.680044\pi\) | ||||
−0.535943 | + | 0.844254i | \(0.680044\pi\) | |||||||
\(678\) | −0.563786 | − | 0.473073i | −0.0216521 | − | 0.0181682i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −0.0916885 | + | 0.0333719i | −0.00351609 | + | 0.00127975i | ||||
\(681\) | 25.6239 | + | 9.32633i | 0.981910 | + | 0.357386i | ||||
\(682\) | 17.8814 | + | 6.50829i | 0.684713 | + | 0.249215i | ||||
\(683\) | −6.44497 | + | 11.1630i | −0.246610 | + | 0.427141i | −0.962583 | − | 0.270987i | \(-0.912650\pi\) |
0.715973 | + | 0.698128i | \(0.245983\pi\) | |||||||
\(684\) | 5.18993 | + | 0.0424427i | 0.198442 | + | 0.00162284i | ||||
\(685\) | 1.50199 | 0.0573883 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 20.4751 | − | 17.1806i | 0.781172 | − | 0.655481i | ||||
\(688\) | −7.04420 | − | 5.91078i | −0.268558 | − | 0.225347i | ||||
\(689\) | −16.7763 | + | 14.0770i | −0.639126 | + | 0.536291i | ||||
\(690\) | 0.173637 | − | 0.0631987i | 0.00661025 | − | 0.00240593i | ||||
\(691\) | −7.93990 | −0.302048 | −0.151024 | − | 0.988530i | \(-0.548257\pi\) | ||||
−0.151024 | + | 0.988530i | \(0.548257\pi\) | |||||||
\(692\) | 3.49079 | + | 6.04623i | 0.132700 | + | 0.229843i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 2.39988 | − | 13.6104i | 0.0910980 | − | 0.516643i | ||||
\(695\) | 0.247223 | − | 0.428203i | 0.00937770 | − | 0.0162427i | ||||
\(696\) | −6.42820 | − | 11.1340i | −0.243660 | − | 0.422032i | ||||
\(697\) | 3.98042 | − | 1.44875i | 0.150769 | − | 0.0548755i | ||||
\(698\) | 0.175574 | + | 0.995728i | 0.00664557 | + | 0.0376889i | ||||
\(699\) | −15.9929 | + | 5.82094i | −0.604907 | + | 0.220168i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 4.73725 | + | 26.8663i | 0.178924 | + | 1.01473i | 0.933517 | + | 0.358533i | \(0.116723\pi\) |
−0.754593 | + | 0.656193i | \(0.772166\pi\) | |||||||
\(702\) | −12.5763 | − | 21.7828i | −0.474663 | − | 0.822140i | ||||
\(703\) | 2.83926 | − | 1.00719i | 0.107085 | − | 0.0379869i | ||||
\(704\) | −3.59530 | + | 6.22724i | −0.135503 | + | 0.234698i | ||||
\(705\) | −0.0806537 | + | 0.0676765i | −0.00303759 | + | 0.00254884i | ||||
\(706\) | −32.8053 | + | 27.5269i | −1.23464 | + | 1.03599i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −9.06019 | − | 3.29764i | −0.340503 | − | 0.123933i | ||||
\(709\) | −4.02231 | + | 22.8117i | −0.151061 | + | 0.856710i | 0.811238 | + | 0.584716i | \(0.198794\pi\) |
−0.962299 | + | 0.271994i | \(0.912317\pi\) | |||||||
\(710\) | 0.674776 | + | 1.16875i | 0.0253239 | + | 0.0438623i | ||||
\(711\) | −19.3096 | −0.724168 | ||||||||
\(712\) | −8.54197 | + | 3.10902i | −0.320124 | + | 0.116516i | ||||
\(713\) | 1.70133 | − | 9.64870i | 0.0637151 | − | 0.361347i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0.187051 | − | 0.323981i | 0.00699529 | − | 0.0121162i | ||||
\(716\) | −0.232467 | + | 1.31839i | −0.00868771 | + | 0.0492705i | ||||
\(717\) | 3.30307 | − | 2.77161i | 0.123356 | − | 0.103508i | ||||
\(718\) | −2.46713 | + | 13.9918i | −0.0920724 | + | 0.522168i | ||||
\(719\) | −44.9655 | − | 16.3661i | −1.67693 | − | 0.610353i | −0.684046 | − | 0.729438i | \(-0.739781\pi\) |
−0.992884 | + | 0.119086i | \(0.962004\pi\) | |||||||
\(720\) | 0.109757 | + | 0.622464i | 0.00409041 | + | 0.0231979i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −29.2129 | + | 10.0947i | −1.08719 | + | 0.375686i | ||||
\(723\) | 12.1831 | + | 21.1018i | 0.453095 | + | 0.784784i | ||||
\(724\) | −0.685759 | − | 0.249596i | −0.0254860 | − | 0.00927615i | ||||
\(725\) | 4.70660 | + | 26.6925i | 0.174799 | + | 0.991333i | ||||
\(726\) | −10.4462 | − | 8.76539i | −0.387694 | − | 0.325314i | ||||
\(727\) | 24.2763 | + | 8.83586i | 0.900359 | + | 0.327704i | 0.750397 | − | 0.660988i | \(-0.229862\pi\) |
0.149963 | + | 0.988692i | \(0.452085\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −8.47985 | + | 14.6875i | −0.314069 | + | 0.543983i | ||||
\(730\) | 0.642526 | − | 1.11289i | 0.0237810 | − | 0.0411898i | ||||
\(731\) | −0.909792 | − | 0.763406i | −0.0336499 | − | 0.0282356i | ||||
\(732\) | −0.0895267 | − | 0.0751218i | −0.00330900 | − | 0.00277658i | ||||
\(733\) | −12.6849 | + | 21.9708i | −0.468526 | + | 0.811511i | −0.999353 | − | 0.0359690i | \(-0.988548\pi\) |
0.530827 | + | 0.847480i | \(0.321882\pi\) | |||||||
\(734\) | −6.88684 | + | 11.9284i | −0.254198 | + | 0.440284i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −4.97054 | − | 1.80913i | −0.183217 | − | 0.0666854i | ||||
\(737\) | −12.6755 | − | 10.6360i | −0.466908 | − | 0.391782i | ||||
\(738\) | −3.50149 | − | 19.8580i | −0.128892 | − | 0.730981i | ||||
\(739\) | 31.9783 | + | 11.6392i | 1.17634 | + | 0.428154i | 0.854909 | − | 0.518779i | \(-0.173613\pi\) |
0.321434 | + | 0.946932i | \(0.395835\pi\) | |||||||
\(740\) | −0.0157160 | − | 0.0272209i | −0.000577731 | − | 0.00100066i | ||||
\(741\) | 10.5883 | + | 9.03326i | 0.388973 | + | 0.331845i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −0.791920 | − | 4.49120i | −0.0290527 | − | 0.164766i | 0.966830 | − | 0.255423i | \(-0.0822146\pi\) |
−0.995882 | + | 0.0906564i | \(0.971103\pi\) | |||||||
\(744\) | −14.5397 | − | 5.29201i | −0.533050 | − | 0.194014i | ||||
\(745\) | 0.0985219 | − | 0.558746i | 0.00360956 | − | 0.0204709i | ||||
\(746\) | −29.5958 | + | 24.8338i | −1.08358 | + | 0.909230i | ||||
\(747\) | 2.16184 | − | 12.2604i | 0.0790977 | − | 0.448585i | ||||
\(748\) | 0.364416 | − | 0.631187i | 0.0133244 | − | 0.0230785i | ||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −0.213768 | + | 1.21234i | −0.00780569 | + | 0.0442682i | ||||
\(751\) | 13.7211 | − | 4.99406i | 0.500689 | − | 0.182236i | −0.0793150 | − | 0.996850i | \(-0.525273\pi\) |
0.580004 | + | 0.814614i | \(0.303051\pi\) | |||||||
\(752\) | 6.77894 | 0.247202 | ||||||||
\(753\) | −14.6876 | − | 25.4396i | −0.535245 | − | 0.927072i | ||||
\(754\) | 4.54901 | − | 25.7987i | 0.165665 | − | 0.939535i | ||||
\(755\) | −1.33717 | − | 0.486691i | −0.0486647 | − | 0.0177125i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −19.1043 | + | 16.0304i | −0.694358 | + | 0.582636i | −0.920162 | − | 0.391537i | \(-0.871943\pi\) |
0.225804 | + | 0.974173i | \(0.427499\pi\) | |||||||
\(758\) | 23.3623 | − | 19.6033i | 0.848556 | − | 0.712023i | ||||
\(759\) | 1.44564 | − | 2.50393i | 0.0524735 | − | 0.0908867i | ||||
\(760\) | −0.332961 | − | 0.587753i | −0.0120778 | − | 0.0213200i | ||||
\(761\) | 22.6403 | + | 39.2142i | 0.820711 | + | 1.42151i | 0.905154 | + | 0.425085i | \(0.139756\pi\) |
−0.0844426 | + | 0.996428i | \(0.526911\pi\) | |||||||
\(762\) | 3.74983 | + | 21.2664i | 0.135842 | + | 0.770399i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 0.183057 | − | 0.0666271i | 0.00662275 | − | 0.00241048i | ||||
\(765\) | 0.0141757 | + | 0.0803942i | 0.000512522 | + | 0.00290666i | ||||
\(766\) | 20.1900 | − | 7.34857i | 0.729495 | − | 0.265515i | ||||
\(767\) | 20.5772 | + | 35.6407i | 0.742998 | + | 1.28691i | ||||
\(768\) | −7.56624 | + | 13.1051i | −0.273023 | + | 0.472890i | ||||
\(769\) | 8.35448 | − | 47.3806i | 0.301270 | − | 1.70859i | −0.339291 | − | 0.940682i | \(-0.610187\pi\) |
0.640561 | − | 0.767907i | \(-0.278702\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −6.75564 | − | 11.7011i | −0.243298 | − | 0.421405i | ||||
\(772\) | 1.99292 | 0.0717267 | ||||||||
\(773\) | 23.0632 | − | 8.39434i | 0.829527 | − | 0.301923i | 0.107862 | − | 0.994166i | \(-0.465599\pi\) |
0.721665 | + | 0.692243i | \(0.243377\pi\) | |||||||
\(774\) | −4.33094 | + | 3.63409i | −0.155673 | + | 0.130625i | ||||
\(775\) | 24.9885 | + | 20.9679i | 0.897615 | + | 0.753188i | ||||
\(776\) | 9.01964 | − | 7.56838i | 0.323786 | − | 0.271689i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 15.5856 | 0.558772 | ||||||||
\(779\) | 14.4546 | + | 25.5158i | 0.517890 | + | 0.914197i | ||||
\(780\) | 0.0726067 | − | 0.125759i | 0.00259974 | − | 0.00450288i | ||||
\(781\) | 19.8431 | + | 7.22230i | 0.710042 | + | 0.258434i | ||||
\(782\) | −1.44392 | − | 0.525546i | −0.0516346 | − | 0.0187935i | ||||
\(783\) | −26.5655 | + | 9.66904i | −0.949372 | + | 0.345543i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 1.23831 | + | 1.03906i | 0.0441971 | + | 0.0370858i | ||||
\(786\) | 5.22892 | 0.186509 | ||||||||
\(787\) | 9.19502 | 0.327767 | 0.163884 | − | 0.986480i | \(-0.447598\pi\) | ||||
0.163884 | + | 0.986480i | \(0.447598\pi\) | |||||||
\(788\) | 13.8222 | + | 11.5982i | 0.492394 | + | 0.413168i | ||||
\(789\) | −16.7110 | + | 6.08232i | −0.594929 | + | 0.216536i | ||||
\(790\) | −0.599881 | − | 1.03902i | −0.0213428 | − | 0.0369668i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 5.56746 | + | 4.67166i | 0.197831 | + | 0.166000i | ||||
\(793\) | 0.0866229 | + | 0.491263i | 0.00307607 | + | 0.0174453i | ||||
\(794\) | 4.70685 | − | 26.6939i | 0.167040 | − | 0.947330i | ||||
\(795\) | 0.0970174 | + | 0.550213i | 0.00344085 | + | 0.0195140i | ||||
\(796\) | −0.732389 | + | 0.614548i | −0.0259589 | + | 0.0217821i | ||||
\(797\) | −50.7437 | −1.79743 | −0.898716 | − | 0.438530i | \(-0.855499\pi\) | ||||
−0.898716 | + | 0.438530i | \(0.855499\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0.875532 | 0.0309741 | ||||||||
\(800\) | 13.4909 | − | 11.3202i | 0.476976 | − | 0.400230i | ||||
\(801\) | 1.32065 | + | 7.48976i | 0.0466628 | + | 0.264638i | ||||
\(802\) | 5.67615 | − | 32.1911i | 0.200432 | − | 1.13671i | ||||
\(803\) | −3.49160 | − | 19.8019i | −0.123216 | − | 0.698793i | ||||
\(804\) | −4.92020 | − | 4.12854i | −0.173522 | − | 0.145602i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −15.7640 | − | 27.3041i | −0.555264 | − | 0.961745i | ||||
\(807\) | 29.6286 | − | 10.7839i | 1.04298 | − | 0.379613i | ||||
\(808\) | −8.41234 | − | 7.05879i | −0.295945 | − | 0.248327i | ||||
\(809\) | −2.23136 | −0.0784504 | −0.0392252 | − | 0.999230i | \(-0.512489\pi\) | ||||
−0.0392252 | + | 0.999230i | \(0.512489\pi\) | |||||||
\(810\) | −0.00892620 | −0.000313635 | ||||||||
\(811\) | −9.48231 | − | 7.95660i | −0.332969 | − | 0.279394i | 0.460939 | − | 0.887432i | \(-0.347513\pi\) |
−0.793908 | + | 0.608038i | \(0.791957\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −28.1700 | + | 10.2531i | −0.987967 | + | 0.359590i | ||||
\(814\) | −1.89243 | − | 0.688789i | −0.0663297 | − | 0.0241421i | ||||
\(815\) | 1.19198 | + | 0.433844i | 0.0417531 | + | 0.0151969i | ||||
\(816\) | −1.65110 | + | 2.85979i | −0.0578001 | + | 0.100113i | ||||
\(817\) | 4.16923 | − | 7.08684i | 0.145863 | − | 0.247937i | ||||
\(818\) | −17.0566 | −0.596371 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0.234384 | − | 0.196672i | 0.00818505 | − | 0.00686807i | ||||
\(821\) | −34.5912 | − | 29.0255i | −1.20724 | − | 1.01300i | −0.999393 | − | 0.0348360i | \(-0.988909\pi\) |
−0.207850 | − | 0.978161i | \(-0.566646\pi\) | |||||||
\(822\) | 28.6156 | − | 24.0114i | 0.998085 | − | 0.837493i | ||||
\(823\) | 8.49574 | − | 3.09220i | 0.296143 | − | 0.107787i | −0.189676 | − | 0.981847i | \(-0.560744\pi\) |
0.485819 | + | 0.874060i | \(0.338521\pi\) | |||||||
\(824\) | 6.60961 | 0.230257 | ||||||||
\(825\) | 4.81316 | + | 8.33664i | 0.167573 | + | 0.290244i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −4.71598 | + | 26.7457i | −0.163991 | + | 0.930037i | 0.786108 | + | 0.618089i | \(0.212093\pi\) |
−0.950099 | + | 0.311949i | \(0.899018\pi\) | |||||||
\(828\) | −0.893181 | + | 1.54703i | −0.0310402 | + | 0.0537632i | ||||
\(829\) | −12.3864 | − | 21.4539i | −0.430197 | − | 0.745123i | 0.566693 | − | 0.823929i | \(-0.308223\pi\) |
−0.996890 | + | 0.0788058i | \(0.974889\pi\) | |||||||
\(830\) | 0.726876 | − | 0.264561i | 0.0252302 | − | 0.00918305i | ||||
\(831\) | 1.19673 | + | 6.78701i | 0.0415142 | + | 0.235439i | ||||
\(832\) | 11.1952 | − | 4.07473i | 0.388125 | − | 0.141266i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −2.13536 | − | 12.1102i | −0.0739413 | − | 0.419342i | ||||
\(835\) | 0.129339 | + | 0.224022i | 0.00447596 | + | 0.00775260i | ||||
\(836\) | 4.72724 | + | 1.76449i | 0.163495 | + | 0.0610260i | ||||
\(837\) | −17.0118 | + | 29.4654i | −0.588015 | + | 1.01847i | ||||
\(838\) | −16.3033 | + | 13.6801i | −0.563189 | + | 0.472572i | ||||
\(839\) | −23.9268 | + | 20.0769i | −0.826043 | + | 0.693133i | −0.954379 | − | 0.298598i | \(-0.903481\pi\) |
0.128336 | + | 0.991731i | \(0.459036\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −0.417095 | − | 0.151810i | −0.0143826 | − | 0.00523483i | ||||
\(842\) | 6.68954 | − | 37.9383i | 0.230537 | − | 1.30744i | ||||
\(843\) | −0.261446 | − | 0.452837i | −0.00900467 | − | 0.0155965i | ||||
\(844\) | −17.8265 | −0.613613 | ||||||||
\(845\) | 0.277223 | − | 0.100901i | 0.00953676 | − | 0.00347110i | ||||
\(846\) | 0.723740 | − | 4.10453i | 0.0248827 | − | 0.141117i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 17.9863 | − | 31.1531i | 0.617650 | − | 1.06980i | ||||
\(849\) | −4.92185 | + | 27.9132i | −0.168918 | + | 0.957979i | ||||
\(850\) | 3.91906 | − | 3.28848i | 0.134423 | − | 0.112794i | ||||
\(851\) | −0.180056 | + | 1.02115i | −0.00617223 | + | 0.0350045i | ||||
\(852\) | 7.70242 | + | 2.80345i | 0.263881 | + | 0.0960447i | ||||
\(853\) | −5.23367 | − | 29.6816i | −0.179197 | − | 1.01628i | −0.933187 | − | 0.359392i | \(-0.882984\pi\) |
0.753989 | − | 0.656887i | \(-0.228127\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −0.532647 | + | 0.188949i | −0.0182161 | + | 0.00646193i | ||||
\(856\) | −13.7844 | − | 23.8753i | −0.471141 | − | 0.816040i | ||||
\(857\) | 24.6035 | + | 8.95494i | 0.840440 | + | 0.305895i | 0.726136 | − | 0.687551i | \(-0.241314\pi\) |
0.114303 | + | 0.993446i | \(0.463536\pi\) | |||||||
\(858\) | −1.61562 | − | 9.16266i | −0.0551565 | − | 0.312808i | ||||
\(859\) | −16.5886 | − | 13.9195i | −0.565995 | − | 0.474926i | 0.314319 | − | 0.949317i | \(-0.398224\pi\) |
−0.880314 | + | 0.474391i | \(0.842668\pi\) | |||||||
\(860\) | −0.0806131 | − | 0.0293408i | −0.00274888 | − | 0.00100051i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 6.00291 | − | 10.3973i | 0.204460 | − | 0.354135i | ||||
\(863\) | −21.6234 | + | 37.4528i | −0.736068 | + | 1.27491i | 0.218185 | + | 0.975907i | \(0.429986\pi\) |
−0.954253 | + | 0.299000i | \(0.903347\pi\) | |||||||
\(864\) | 14.0714 | + | 11.8073i | 0.478717 | + | 0.401692i | ||||
\(865\) | −0.582383 | − | 0.488678i | −0.0198016 | − | 0.0166155i | ||||
\(866\) | 28.1736 | − | 48.7982i | 0.957379 | − | 1.65823i | ||||
\(867\) | 8.93183 | − | 15.4704i | 0.303341 | − | 0.525402i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −17.6407 | − | 6.42067i | −0.598418 | − | 0.217806i | ||||
\(870\) | −0.511962 | − | 0.429587i | −0.0173571 | − | 0.0145644i | ||||
\(871\) | 4.76061 | + | 26.9988i | 0.161307 | + | 0.914819i | ||||
\(872\) | −29.0502 | − | 10.5734i | −0.983764 | − | 0.358061i | ||||
\(873\) | −4.92549 | − | 8.53120i | −0.166703 | − | 0.288737i | ||||
\(874\) | 1.93289 | − | 10.4610i | 0.0653810 | − | 0.353848i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −1.35532 | − | 7.68642i | −0.0457921 | − | 0.259700i | ||||
\(877\) | −17.6616 | − | 6.42831i | −0.596391 | − | 0.217069i | 0.0261470 | − | 0.999658i | \(-0.491676\pi\) |
−0.622538 | + | 0.782590i | \(0.713898\pi\) | |||||||
\(878\) | 9.11929 | − | 51.7181i | 0.307761 | − | 1.74540i | ||||
\(879\) | −25.9441 | + | 21.7696i | −0.875071 | + | 0.734272i | ||||
\(880\) | −0.106706 | + | 0.605158i | −0.00359705 | + | 0.0203999i | ||||
\(881\) | 4.57192 | − | 7.91881i | 0.154032 | − | 0.266791i | −0.778674 | − | 0.627429i | \(-0.784107\pi\) |
0.932706 | + | 0.360637i | \(0.117441\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 3.57800 | − | 20.2918i | 0.120409 | − | 0.682874i | −0.863520 | − | 0.504315i | \(-0.831745\pi\) |
0.983929 | − | 0.178560i | \(-0.0571437\pi\) | |||||||
\(884\) | −1.13474 | + | 0.413010i | −0.0381653 | + | 0.0138910i | ||||
\(885\) | 1.04991 | 0.0352924 | ||||||||
\(886\) | 13.4560 | + | 23.3065i | 0.452064 | + | 0.782998i | ||||
\(887\) | 5.03997 | − | 28.5831i | 0.169225 | − | 0.959725i | −0.775374 | − | 0.631502i | \(-0.782439\pi\) |
0.944600 | − | 0.328224i | \(-0.106450\pi\) | |||||||
\(888\) | 1.53877 | + | 0.560067i | 0.0516378 | + | 0.0187946i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | −0.361985 | + | 0.303742i | −0.0121338 | + | 0.0101814i | ||||
\(891\) | −0.106993 | + | 0.0897776i | −0.00358439 | + | 0.00300766i | ||||
\(892\) | 2.88242 | − | 4.99250i | 0.0965105 | − | 0.167161i | ||||
\(893\) | 1.00371 | + | 5.97776i | 0.0335878 | + | 0.200038i | ||||
\(894\) | −7.05528 | − | 12.2201i | −0.235964 | − | 0.408701i | ||||
\(895\) | −0.0253141 | − | 0.143564i | −0.000846158 | − | 0.00479880i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −4.50151 | + | 1.63842i | −0.150301 | + | 0.0547051i | ||||
\(898\) | 10.2641 | + | 58.2108i | 0.342518 | + | 1.94252i | ||||
\(899\) | −33.2989 | + | 12.1198i | −1.11058 | + | 0.404219i | ||||
\(900\) | −2.97378 | − | 5.15074i | −0.0991260 | − | 0.171691i | ||||
\(901\) | 2.32301 | − | 4.02357i | 0.0773907 | − | 0.134045i | ||||
\(902\) | 3.40414 | − | 19.3059i | 0.113346 | − | 0.642815i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −0.463020 | − | 0.801974i | −0.0153998 | − | 0.0266733i | ||||
\(905\) | 0.0794669 | 0.00264157 | ||||||||
\(906\) | −33.2559 | + | 12.1042i | −1.10485 | + | 0.402134i | ||||
\(907\) | 12.6132 | − | 10.5837i | 0.418813 | − | 0.351426i | −0.408898 | − | 0.912580i | \(-0.634087\pi\) |
0.827711 | + | 0.561154i | \(0.189643\pi\) | |||||||
\(908\) | −12.5472 | − | 10.5283i | −0.416393 | − | 0.349395i | ||||
\(909\) | −7.03819 | + | 5.90574i | −0.233442 | + | 0.195881i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 28.9644 | 0.959634 | 0.479817 | − | 0.877368i | \(-0.340703\pi\) | ||||
0.479817 | + | 0.877368i | \(0.340703\pi\) | |||||||
\(912\) | −21.4183 | − | 7.99456i | −0.709229 | − | 0.264726i | ||||
\(913\) | 6.05171 | − | 10.4819i | 0.200283 | − | 0.346900i | ||||
\(914\) | −40.6641 | − | 14.8005i | −1.34505 | − | 0.489558i | ||||
\(915\) | 0.0119587 | + | 0.00435263i | 0.000395344 | + | 0.000143893i | ||||
\(916\) | −15.0866 | + | 5.49106i | −0.498474 | + | 0.181430i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 4.08768 | + | 3.42997i | 0.134914 | + | 0.113206i | ||||
\(919\) | −21.6498 | −0.714162 | −0.357081 | − | 0.934073i | \(-0.616228\pi\) | ||||
−0.357081 | + | 0.934073i | \(0.616228\pi\) | |||||||
\(920\) | 0.232502 | 0.00766536 | ||||||||
\(921\) | −14.1849 | − | 11.9025i | −0.467407 | − | 0.392201i | ||||
\(922\) | 0.0938790 | − | 0.0341692i | 0.00309174 | − | 0.00112530i | ||||
\(923\) | −17.4934 | − | 30.2995i | −0.575804 | − | 0.997322i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −2.64460 | − | 2.21908i | −0.0869540 | − | 0.0729631i | ||||
\(926\) | −3.68002 | − | 20.8704i | −0.120933 | − | 0.685845i | ||||
\(927\) | 0.960263 | − | 5.44592i | 0.0315392 | − | 0.178868i | ||||
\(928\) | 3.32212 | + | 18.8407i | 0.109054 | + | 0.618476i | ||||
\(929\) | 13.2050 | − | 11.0803i | 0.433243 | − | 0.363534i | −0.399931 | − | 0.916545i | \(-0.630966\pi\) |
0.833174 | + | 0.553012i | \(0.186521\pi\) | |||||||
\(930\) | −0.804329 | −0.0263750 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 10.2229 | 0.334863 | ||||||||
\(933\) | −23.6931 | + | 19.8808i | −0.775676 | + | 0.650870i | ||||
\(934\) | 4.39293 | + | 24.9135i | 0.143741 | + | 0.815196i | ||||
\(935\) | −0.0137816 | + | 0.0781591i | −0.000450705 | + | 0.00255608i | ||||
\(936\) | −2.09101 | − | 11.8587i | −0.0683467 | − | 0.387613i | ||||
\(937\) | 10.5786 | + | 8.87649i | 0.345588 | + | 0.289982i | 0.799015 | − | 0.601311i | \(-0.205355\pi\) |
−0.453428 | + | 0.891293i | \(0.649799\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 3.80235 | + | 6.58586i | 0.124085 | + | 0.214922i | ||||
\(940\) | 0.0594278 | − | 0.0216299i | 0.00193832 | − | 0.000705491i | ||||
\(941\) | −33.3859 | − | 28.0141i | −1.08835 | − | 0.913233i | −0.0917615 | − | 0.995781i | \(-0.529250\pi\) |
−0.996587 | + | 0.0825481i | \(0.973694\pi\) | |||||||
\(942\) | 40.2028 | 1.30988 | ||||||||
\(943\) | −10.0935 | −0.328688 | ||||||||
\(944\) | −51.7842 | − | 43.4521i | −1.68543 | − | 1.41425i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −5.16498 | + | 1.87990i | −0.167928 | + | 0.0611208i | ||||
\(947\) | −14.1396 | − | 5.14641i | −0.459476 | − | 0.167236i | 0.101903 | − | 0.994794i | \(-0.467507\pi\) |
−0.561379 | + | 0.827559i | \(0.689729\pi\) | |||||||
\(948\) | −6.84751 | − | 2.49229i | −0.222397 | − | 0.0809458i | ||||
\(949\) | −16.6574 | + | 28.8514i | −0.540721 | + | 0.936557i | ||||
\(950\) | 26.9452 | + | 22.9878i | 0.874217 | + | 0.745822i | ||||
\(951\) | −6.80098 | −0.220537 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −27.9792 | + | 23.4774i | −0.906336 | + | 0.760506i | −0.971418 | − | 0.237374i | \(-0.923713\pi\) |
0.0650825 | + | 0.997880i | \(0.479269\pi\) | |||||||
\(954\) | −16.9424 | − | 14.2164i | −0.548531 | − | 0.460272i | ||||
\(955\) | −0.0162500 | + | 0.0136354i | −0.000525839 | + | 0.000441231i | ||||
\(956\) | −2.43379 | + | 0.885828i | −0.0787145 | + | 0.0286497i | ||||
\(957\) | −10.4573 | −0.338035 | ||||||||
\(958\) | 24.4495 | + | 42.3477i | 0.789926 | + | 1.36819i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 0.0527782 | − | 0.299320i | 0.00170341 | − | 0.00966050i | ||||
\(961\) | −5.82378 | + | 10.0871i | −0.187864 | + | 0.325390i | ||||
\(962\) | 1.66835 | + | 2.88966i | 0.0537897 | + | 0.0931664i | ||||
\(963\) | −21.6744 | + | 7.88884i | −0.698448 | + | 0.254214i | ||||
\(964\) | −2.54151 | − | 14.4136i | −0.0818566 | − | 0.464232i | ||||
\(965\) | −0.203928 | + | 0.0742236i | −0.00656467 | + | 0.00238934i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 2.76506 | + | 15.6814i | 0.0889184 | + | 0.504281i | 0.996442 | + | 0.0842804i | \(0.0268592\pi\) |
−0.907524 | + | 0.420001i | \(0.862030\pi\) | |||||||
\(968\) | −8.57913 | − | 14.8595i | −0.275744 | − | 0.477602i | ||||
\(969\) | −2.76627 | − | 1.03254i | −0.0888655 | − | 0.0331698i | ||||
\(970\) | 0.306034 | − | 0.530067i | 0.00982617 | − | 0.0170194i | ||||
\(971\) | −0.724478 | + | 0.607909i | −0.0232496 | + | 0.0195087i | −0.654338 | − | 0.756202i | \(-0.727053\pi\) |
0.631089 | + | 0.775711i | \(0.282608\pi\) | |||||||
\(972\) | 7.69616 | − | 6.45784i | 0.246854 | − | 0.207135i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −18.9689 | − | 6.90411i | −0.607802 | − | 0.221222i | ||||
\(975\) | 2.76957 | − | 15.7070i | 0.0886972 | − | 0.503027i | ||||
\(976\) | −0.409695 | − | 0.709613i | −0.0131140 | − | 0.0227142i | ||||
\(977\) | −2.65305 | −0.0848785 | −0.0424392 | − | 0.999099i | \(-0.513513\pi\) | ||||
−0.0424392 | + | 0.999099i | \(0.513513\pi\) | |||||||
\(978\) | 29.6448 | − | 10.7898i | 0.947936 | − | 0.345021i | ||||
\(979\) | −1.28393 | + | 7.28153i | −0.0410346 | + | 0.232719i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −12.9324 | + | 22.3995i | −0.412898 | + | 0.715161i | ||||
\(982\) | 11.5787 | − | 65.6662i | 0.369492 | − | 2.09549i | ||||
\(983\) | −25.7255 | + | 21.5862i | −0.820515 | + | 0.688494i | −0.953093 | − | 0.302679i | \(-0.902119\pi\) |
0.132577 | + | 0.991173i | \(0.457675\pi\) | |||||||
\(984\) | −2.76797 | + | 15.6980i | −0.0882398 | + | 0.500433i | ||||
\(985\) | −1.84633 | − | 0.672008i | −0.0588289 | − | 0.0214120i | ||||
\(986\) | 0.965064 | + | 5.47315i | 0.0307339 | + | 0.174301i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −4.12071 | − | 7.27402i | −0.131097 | − | 0.231417i | ||||
\(989\) | 1.41500 | + | 2.45085i | 0.0449943 | + | 0.0779324i | ||||
\(990\) | 0.355021 | + | 0.129217i | 0.0112833 | + | 0.00410679i | ||||
\(991\) | −5.48700 | − | 31.1183i | −0.174300 | − | 0.988506i | −0.938948 | − | 0.344058i | \(-0.888198\pi\) |
0.764648 | − | 0.644448i | \(-0.222913\pi\) | |||||||
\(992\) | 17.6380 | + | 14.8000i | 0.560006 | + | 0.469901i | ||||
\(993\) | −15.8150 | − | 5.75619i | −0.501874 | − | 0.182667i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 0.0520546 | − | 0.0901612i | 0.00165024 | − | 0.00285830i | ||||
\(996\) | 2.34907 | − | 4.06871i | 0.0744332 | − | 0.128922i | ||||
\(997\) | −26.1003 | − | 21.9008i | −0.826606 | − | 0.693605i | 0.127903 | − | 0.991787i | \(-0.459175\pi\) |
−0.954509 | + | 0.298182i | \(0.903620\pi\) | |||||||
\(998\) | 9.25033 | + | 7.76195i | 0.292814 | + | 0.245700i | ||||
\(999\) | 1.80041 | − | 3.11840i | 0.0569624 | − | 0.0986618i |
(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 | 931.2.x.e.655.4 | 30 | ||
7.2 | even | 3 | 931.2.v.d.275.2 | 30 | |||
7.3 | odd | 6 | 931.2.w.b.883.4 | 30 | |||
7.4 | even | 3 | 133.2.v.b.85.4 | yes | 30 | ||
7.5 | odd | 6 | 931.2.v.e.275.2 | 30 | |||
7.6 | odd | 2 | 931.2.x.d.655.4 | 30 | |||
19.17 | even | 9 | 931.2.v.d.606.2 | 30 | |||
133.17 | odd | 18 | 931.2.w.b.834.4 | 30 | |||
133.25 | even | 9 | 2527.2.a.r.1.11 | 15 | |||
133.32 | odd | 18 | 2527.2.a.s.1.5 | 15 | |||
133.55 | odd | 18 | 931.2.v.e.606.2 | 30 | |||
133.74 | even | 9 | 133.2.v.b.36.4 | ✓ | 30 | ||
133.93 | even | 9 | inner | 931.2.x.e.226.4 | 30 | ||
133.131 | odd | 18 | 931.2.x.d.226.4 | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
133.2.v.b.36.4 | ✓ | 30 | 133.74 | even | 9 | ||
133.2.v.b.85.4 | yes | 30 | 7.4 | even | 3 | ||
931.2.v.d.275.2 | 30 | 7.2 | even | 3 | |||
931.2.v.d.606.2 | 30 | 19.17 | even | 9 | |||
931.2.v.e.275.2 | 30 | 7.5 | odd | 6 | |||
931.2.v.e.606.2 | 30 | 133.55 | odd | 18 | |||
931.2.w.b.834.4 | 30 | 133.17 | odd | 18 | |||
931.2.w.b.883.4 | 30 | 7.3 | odd | 6 | |||
931.2.x.d.226.4 | 30 | 133.131 | odd | 18 | |||
931.2.x.d.655.4 | 30 | 7.6 | odd | 2 | |||
931.2.x.e.226.4 | 30 | 133.93 | even | 9 | inner | ||
931.2.x.e.655.4 | 30 | 1.1 | even | 1 | trivial | ||
2527.2.a.r.1.11 | 15 | 133.25 | even | 9 | |||
2527.2.a.s.1.5 | 15 | 133.32 | odd | 18 |