Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [576,2,Mod(13,576)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(576, base_ring=CyclotomicField(48))
chi = DirichletCharacter(H, H._module([0, 45, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("576.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 576 = 2^{6} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 576.bm (of order \(48\), degree \(16\), 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: | \(4.59938315643\) |
Analytic rank: | \(0\) |
Dimension: | \(1504\) |
Relative dimension: | \(94\) over \(\Q(\zeta_{48})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{48}]$ |
Embedding invariants
Embedding label | 205.94 | ||
Character | \(\chi\) | \(=\) | 576.205 |
Dual form | 576.2.bm.a.517.94 |
$q$-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 \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).
\(n\) | \(65\) | \(127\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) | \(e\left(\frac{15}{16}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.41400 | − | 0.0248533i | 0.999846 | − | 0.0175739i | ||||
\(3\) | −1.33031 | + | 1.10917i | −0.768057 | + | 0.640382i | ||||
\(4\) | 1.99876 | − | 0.0702848i | 0.999382 | − | 0.0351424i | ||||
\(5\) | 0.404828 | + | 0.461618i | 0.181044 | + | 0.206442i | 0.835243 | − | 0.549881i | \(-0.185327\pi\) |
−0.654198 | + | 0.756323i | \(0.726994\pi\) | |||||||
\(6\) | −1.85349 | + | 1.60143i | −0.756684 | + | 0.653780i | ||||
\(7\) | 2.92960 | + | 0.385690i | 1.10729 | + | 0.145777i | 0.661922 | − | 0.749573i | \(-0.269741\pi\) |
0.445364 | + | 0.895350i | \(0.353074\pi\) | |||||||
\(8\) | 2.82450 | − | 0.149058i | 0.998610 | − | 0.0527000i | ||||
\(9\) | 0.539468 | − | 2.95110i | 0.179823 | − | 0.983699i | ||||
\(10\) | 0.583897 | + | 0.642664i | 0.184645 | + | 0.203228i | ||||
\(11\) | −1.36139 | − | 2.76063i | −0.410475 | − | 0.832361i | −0.999702 | − | 0.0243935i | \(-0.992235\pi\) |
0.589228 | − | 0.807967i | \(-0.299432\pi\) | |||||||
\(12\) | −2.58103 | + | 2.31048i | −0.745078 | + | 0.666977i | ||||
\(13\) | 1.93357 | + | 5.69610i | 0.536275 | + | 1.57981i | 0.790367 | + | 0.612634i | \(0.209890\pi\) |
−0.254092 | + | 0.967180i | \(0.581777\pi\) | |||||||
\(14\) | 4.15203 | + | 0.472553i | 1.10968 | + | 0.126295i | ||||
\(15\) | −1.05056 | − | 0.165072i | −0.271254 | − | 0.0426214i | ||||
\(16\) | 3.99012 | − | 0.280965i | 0.997530 | − | 0.0702413i | ||||
\(17\) | −3.43323 | − | 3.43323i | −0.832681 | − | 0.832681i | 0.155201 | − | 0.987883i | \(-0.450397\pi\) |
−0.987883 | + | 0.155201i | \(0.950397\pi\) | |||||||
\(18\) | 0.689461 | − | 4.18624i | 0.162508 | − | 0.986707i | ||||
\(19\) | −0.644204 | + | 3.23863i | −0.147791 | + | 0.742993i | 0.833811 | + | 0.552051i | \(0.186154\pi\) |
−0.981601 | + | 0.190943i | \(0.938846\pi\) | |||||||
\(20\) | 0.841600 | + | 0.894212i | 0.188188 | + | 0.199952i | ||||
\(21\) | −4.32509 | + | 2.73635i | −0.943811 | + | 0.597121i | ||||
\(22\) | −1.99361 | − | 3.86968i | −0.425039 | − | 0.825018i | ||||
\(23\) | 0.364355 | + | 2.76755i | 0.0759734 | + | 0.577075i | 0.986517 | + | 0.163661i | \(0.0523304\pi\) |
−0.910543 | + | 0.413414i | \(0.864336\pi\) | |||||||
\(24\) | −3.59213 | + | 3.33115i | −0.733241 | + | 0.679968i | ||||
\(25\) | 0.603426 | − | 4.58347i | 0.120685 | − | 0.916695i | ||||
\(26\) | 2.87562 | + | 8.00620i | 0.563955 | + | 1.57015i | ||||
\(27\) | 2.55562 | + | 4.52425i | 0.491829 | + | 0.870692i | ||||
\(28\) | 5.88270 | + | 0.564996i | 1.11172 | + | 0.106774i | ||||
\(29\) | 10.5801 | − | 0.693457i | 1.96468 | − | 0.128772i | 0.970849 | − | 0.239692i | \(-0.0770466\pi\) |
0.993829 | + | 0.110920i | \(0.0353799\pi\) | |||||||
\(30\) | −1.48959 | − | 0.207301i | −0.271961 | − | 0.0378478i | ||||
\(31\) | −7.52420 | + | 4.34410i | −1.35139 | + | 0.780223i | −0.988444 | − | 0.151589i | \(-0.951561\pi\) |
−0.362942 | + | 0.931812i | \(0.618228\pi\) | |||||||
\(32\) | 5.63503 | − | 0.496451i | 0.996142 | − | 0.0877610i | ||||
\(33\) | 4.87309 | + | 2.16248i | 0.848296 | + | 0.376440i | ||||
\(34\) | −4.93990 | − | 4.76925i | −0.847186 | − | 0.817919i | ||||
\(35\) | 1.00794 | + | 1.50849i | 0.170374 | + | 0.254982i | ||||
\(36\) | 0.870853 | − | 5.93646i | 0.145142 | − | 0.989411i | ||||
\(37\) | 0.774146 | + | 3.89190i | 0.127269 | + | 0.639824i | 0.990779 | + | 0.135492i | \(0.0432614\pi\) |
−0.863510 | + | 0.504332i | \(0.831739\pi\) | |||||||
\(38\) | −0.830411 | + | 4.59542i | −0.134710 | + | 0.745476i | ||||
\(39\) | −8.89021 | − | 5.43294i | −1.42357 | − | 0.869967i | ||||
\(40\) | 1.21224 | + | 1.24349i | 0.191672 | + | 0.196614i | ||||
\(41\) | −0.251071 | − | 1.90707i | −0.0392106 | − | 0.297834i | −0.999803 | − | 0.0198718i | \(-0.993674\pi\) |
0.960592 | − | 0.277963i | \(-0.0896591\pi\) | |||||||
\(42\) | −6.04765 | + | 3.97668i | −0.933172 | + | 0.613615i | ||||
\(43\) | −3.49148 | + | 1.72181i | −0.532446 | + | 0.262573i | −0.688577 | − | 0.725163i | \(-0.741764\pi\) |
0.156131 | + | 0.987736i | \(0.450098\pi\) | |||||||
\(44\) | −2.91513 | − | 5.42216i | −0.439472 | − | 0.817421i | ||||
\(45\) | 1.58067 | − | 0.945658i | 0.235632 | − | 0.140970i | ||||
\(46\) | 0.583980 | + | 3.90425i | 0.0861031 | + | 0.575651i | ||||
\(47\) | −4.57068 | + | 1.22471i | −0.666702 | + | 0.178642i | −0.576269 | − | 0.817260i | \(-0.695492\pi\) |
−0.0904330 | + | 0.995903i | \(0.528825\pi\) | |||||||
\(48\) | −4.99647 | + | 4.79951i | −0.721179 | + | 0.692749i | ||||
\(49\) | 1.67234 | + | 0.448102i | 0.238905 | + | 0.0640145i | ||||
\(50\) | 0.739327 | − | 6.49601i | 0.104557 | − | 0.918674i | ||||
\(51\) | 8.37533 | + | 0.759225i | 1.17278 | + | 0.106313i | ||||
\(52\) | 4.26509 | + | 11.2493i | 0.591462 | + | 1.55999i | ||||
\(53\) | 1.03232 | − | 1.54497i | 0.141800 | − | 0.212218i | −0.753771 | − | 0.657137i | \(-0.771767\pi\) |
0.895571 | + | 0.444918i | \(0.146767\pi\) | |||||||
\(54\) | 3.72607 | + | 6.33375i | 0.507054 | + | 0.861914i | ||||
\(55\) | 0.723226 | − | 1.74602i | 0.0975197 | − | 0.235433i | ||||
\(56\) | 8.33214 | + | 0.652698i | 1.11343 | + | 0.0872204i | ||||
\(57\) | −2.73521 | − | 5.02293i | −0.362288 | − | 0.665303i | ||||
\(58\) | 14.9430 | − | 1.24350i | 1.96211 | − | 0.163279i | ||||
\(59\) | −4.64466 | − | 5.29622i | −0.604684 | − | 0.689510i | 0.365795 | − | 0.930695i | \(-0.380797\pi\) |
−0.970479 | + | 0.241186i | \(0.922464\pi\) | |||||||
\(60\) | −2.11143 | − | 0.256101i | −0.272584 | − | 0.0330625i | ||||
\(61\) | −0.739080 | − | 11.2762i | −0.0946295 | − | 1.44377i | −0.736232 | − | 0.676729i | \(-0.763397\pi\) |
0.641602 | − | 0.767037i | \(-0.278270\pi\) | |||||||
\(62\) | −10.5312 | + | 6.32953i | −1.33747 | + | 0.803852i | ||||
\(63\) | 2.71864 | − | 8.43748i | 0.342516 | − | 1.06302i | ||||
\(64\) | 7.95556 | − | 0.842028i | 0.994445 | − | 0.105254i | ||||
\(65\) | −1.84666 | + | 3.19851i | −0.229050 | + | 0.396726i | ||||
\(66\) | 6.94427 | + | 2.93663i | 0.854781 | + | 0.361474i | ||||
\(67\) | −9.87922 | − | 4.87189i | −1.20694 | − | 0.595196i | −0.276277 | − | 0.961078i | \(-0.589101\pi\) |
−0.930661 | + | 0.365882i | \(0.880767\pi\) | |||||||
\(68\) | −7.10353 | − | 6.62092i | −0.861430 | − | 0.802905i | ||||
\(69\) | −3.55441 | − | 3.27758i | −0.427900 | − | 0.394574i | ||||
\(70\) | 1.46272 | + | 2.10795i | 0.174828 | + | 0.251949i | ||||
\(71\) | −3.40316 | − | 8.21597i | −0.403881 | − | 0.975056i | −0.986714 | − | 0.162464i | \(-0.948056\pi\) |
0.582833 | − | 0.812592i | \(-0.301944\pi\) | |||||||
\(72\) | 1.08384 | − | 8.41578i | 0.127732 | − | 0.991809i | ||||
\(73\) | 0.900694 | − | 2.17447i | 0.105418 | − | 0.254502i | −0.862365 | − | 0.506287i | \(-0.831018\pi\) |
0.967783 | + | 0.251785i | \(0.0810176\pi\) | |||||||
\(74\) | 1.19137 | + | 5.48388i | 0.138493 | + | 0.637488i | ||||
\(75\) | 4.28112 | + | 6.76676i | 0.494341 | + | 0.781358i | ||||
\(76\) | −1.05999 | + | 6.51854i | −0.121589 | + | 0.747728i | ||||
\(77\) | −2.92359 | − | 8.61262i | −0.333174 | − | 0.981499i | ||||
\(78\) | −12.7057 | − | 7.46120i | −1.43864 | − | 0.844814i | ||||
\(79\) | −2.44995 | − | 9.14335i | −0.275641 | − | 1.02871i | −0.955410 | − | 0.295281i | \(-0.904587\pi\) |
0.679769 | − | 0.733426i | \(-0.262080\pi\) | |||||||
\(80\) | 1.74501 | + | 1.72817i | 0.195098 | + | 0.193215i | ||||
\(81\) | −8.41795 | − | 3.18405i | −0.935328 | − | 0.353783i | ||||
\(82\) | −0.402410 | − | 2.69035i | −0.0444387 | − | 0.297099i | ||||
\(83\) | 4.59024 | + | 4.02553i | 0.503845 | + | 0.441860i | 0.873152 | − | 0.487447i | \(-0.162072\pi\) |
−0.369308 | + | 0.929307i | \(0.620405\pi\) | |||||||
\(84\) | −8.45251 | + | 5.77331i | −0.922244 | + | 0.629920i | ||||
\(85\) | 0.194973 | − | 2.97471i | 0.0211478 | − | 0.322653i | ||||
\(86\) | −4.89414 | + | 2.52140i | −0.527749 | + | 0.271890i | ||||
\(87\) | −13.3057 | + | 12.6577i | −1.42652 | + | 1.35705i | ||||
\(88\) | −4.25674 | − | 7.59446i | −0.453770 | − | 0.809572i | ||||
\(89\) | 12.2228 | − | 5.06285i | 1.29561 | − | 0.536661i | 0.374961 | − | 0.927041i | \(-0.377656\pi\) |
0.920654 | + | 0.390380i | \(0.127656\pi\) | |||||||
\(90\) | 2.21156 | − | 1.37644i | 0.233119 | − | 0.145090i | ||||
\(91\) | 3.46765 | + | 17.4331i | 0.363509 | + | 1.82748i | ||||
\(92\) | 0.922778 | + | 5.50608i | 0.0962062 | + | 0.574049i | ||||
\(93\) | 5.19118 | − | 14.1247i | 0.538301 | − | 1.46466i | ||||
\(94\) | −6.43247 | + | 1.84533i | −0.663459 | + | 0.190331i | ||||
\(95\) | −1.75580 | + | 1.01371i | −0.180141 | + | 0.104005i | ||||
\(96\) | −6.94570 | + | 6.91066i | −0.708893 | + | 0.705316i | ||||
\(97\) | −7.83449 | − | 4.52325i | −0.795472 | − | 0.459266i | 0.0464132 | − | 0.998922i | \(-0.485221\pi\) |
−0.841886 | + | 0.539656i | \(0.818554\pi\) | |||||||
\(98\) | 2.37581 | + | 0.592050i | 0.239993 | + | 0.0598061i | ||||
\(99\) | −8.88131 | + | 2.52833i | −0.892605 | + | 0.254106i | ||||
\(100\) | 0.883958 | − | 9.20370i | 0.0883958 | − | 0.920370i | ||||
\(101\) | −16.2418 | − | 5.51335i | −1.61612 | − | 0.548599i | −0.640479 | − | 0.767975i | \(-0.721264\pi\) |
−0.975640 | + | 0.219377i | \(0.929598\pi\) | |||||||
\(102\) | 11.8615 | + | 0.865387i | 1.17447 | + | 0.0856861i | ||||
\(103\) | 9.99988 | + | 7.67317i | 0.985317 | + | 0.756060i | 0.969821 | − | 0.243820i | \(-0.0784005\pi\) |
0.0154964 | + | 0.999880i | \(0.495067\pi\) | |||||||
\(104\) | 6.31040 | + | 15.8004i | 0.618786 | + | 1.54936i | ||||
\(105\) | −3.01406 | − | 0.888786i | −0.294142 | − | 0.0867366i | ||||
\(106\) | 1.42130 | − | 2.21024i | 0.138048 | − | 0.214678i | ||||
\(107\) | 4.65738 | + | 3.11196i | 0.450246 | + | 0.300844i | 0.759942 | − | 0.649991i | \(-0.225227\pi\) |
−0.309696 | + | 0.950836i | \(0.600227\pi\) | |||||||
\(108\) | 5.42606 | + | 8.86329i | 0.522123 | + | 0.852870i | ||||
\(109\) | −2.40088 | + | 12.0700i | −0.229963 | + | 1.15610i | 0.677356 | + | 0.735656i | \(0.263126\pi\) |
−0.907318 | + | 0.420444i | \(0.861874\pi\) | |||||||
\(110\) | 0.979243 | − | 2.48684i | 0.0933672 | − | 0.237111i | ||||
\(111\) | −5.34665 | − | 4.31878i | −0.507481 | − | 0.409920i | ||||
\(112\) | 11.7978 | + | 0.715831i | 1.11479 | + | 0.0676396i | ||||
\(113\) | −4.57961 | − | 1.22710i | −0.430814 | − | 0.115436i | 0.0368944 | − | 0.999319i | \(-0.488253\pi\) |
−0.467708 | + | 0.883883i | \(0.654920\pi\) | |||||||
\(114\) | −3.99241 | − | 7.03442i | −0.373924 | − | 0.658834i | ||||
\(115\) | −1.13005 | + | 1.28858i | −0.105378 | + | 0.120160i | ||||
\(116\) | 21.0984 | − | 2.12968i | 1.95894 | − | 0.197736i | ||||
\(117\) | 17.8528 | − | 2.63327i | 1.65050 | − | 0.243446i | ||||
\(118\) | −6.69916 | − | 7.37340i | −0.616708 | − | 0.678777i | ||||
\(119\) | −8.73385 | − | 11.3822i | −0.800631 | − | 1.04340i | ||||
\(120\) | −2.99191 | − | 0.309650i | −0.273123 | − | 0.0282671i | ||||
\(121\) | 0.928695 | − | 1.21030i | 0.0844268 | − | 0.110027i | ||||
\(122\) | −1.32531 | − | 15.9261i | −0.119987 | − | 1.44188i | ||||
\(123\) | 2.44927 | + | 2.25852i | 0.220844 | + | 0.203644i | ||||
\(124\) | −14.7338 | + | 9.21167i | −1.32313 | + | 0.827232i | ||||
\(125\) | 4.91264 | − | 3.28252i | 0.439400 | − | 0.293598i | ||||
\(126\) | 3.63444 | − | 11.9981i | 0.323781 | − | 1.06888i | ||||
\(127\) | −9.10407 | −0.807855 | −0.403928 | − | 0.914791i | \(-0.632355\pi\) | ||||
−0.403928 | + | 0.914791i | \(0.632355\pi\) | |||||||
\(128\) | 11.2282 | − | 1.38835i | 0.992442 | − | 0.122714i | ||||
\(129\) | 2.73498 | − | 6.16320i | 0.240802 | − | 0.542640i | ||||
\(130\) | −2.53167 | + | 4.56857i | −0.222042 | + | 0.400690i | ||||
\(131\) | −17.7420 | − | 8.74937i | −1.55012 | − | 0.764436i | −0.552512 | − | 0.833505i | \(-0.686331\pi\) |
−0.997612 | + | 0.0690687i | \(0.977997\pi\) | |||||||
\(132\) | 9.89215 | + | 3.97979i | 0.861002 | + | 0.346396i | ||||
\(133\) | −3.13637 | + | 9.23944i | −0.271958 | + | 0.801161i | ||||
\(134\) | −14.0902 | − | 6.64330i | −1.21721 | − | 0.573894i | ||||
\(135\) | −1.05389 | + | 3.01126i | −0.0907042 | + | 0.259168i | ||||
\(136\) | −10.2089 | − | 9.18541i | −0.875407 | − | 0.787642i | ||||
\(137\) | 2.41041 | + | 3.14131i | 0.205935 | + | 0.268380i | 0.884890 | − | 0.465800i | \(-0.154233\pi\) |
−0.678955 | + | 0.734180i | \(0.737567\pi\) | |||||||
\(138\) | −5.10737 | − | 4.54615i | −0.434768 | − | 0.386994i | ||||
\(139\) | 12.3714 | + | 0.810867i | 1.04933 | + | 0.0687769i | 0.580299 | − | 0.814404i | \(-0.302936\pi\) |
0.469033 | + | 0.883180i | \(0.344602\pi\) | |||||||
\(140\) | 2.12067 | + | 2.94428i | 0.179229 | + | 0.248837i | ||||
\(141\) | 4.72202 | − | 6.69892i | 0.397666 | − | 0.564151i | ||||
\(142\) | −5.01625 | − | 11.5328i | −0.420954 | − | 0.967807i | ||||
\(143\) | 13.0925 | − | 13.0925i | 1.09485 | − | 1.09485i | ||||
\(144\) | 1.32339 | − | 11.9268i | 0.110282 | − | 0.993900i | ||||
\(145\) | 4.60324 | + | 4.60324i | 0.382278 | + | 0.382278i | ||||
\(146\) | 1.21953 | − | 3.09707i | 0.100929 | − | 0.256315i | ||||
\(147\) | −2.72176 | + | 1.25880i | −0.224487 | + | 0.103824i | ||||
\(148\) | 1.82088 | + | 7.72457i | 0.149675 | + | 0.634956i | ||||
\(149\) | −0.511815 | + | 7.80878i | −0.0419295 | + | 0.639720i | 0.924240 | + | 0.381812i | \(0.124700\pi\) |
−0.966169 | + | 0.257908i | \(0.916967\pi\) | |||||||
\(150\) | 6.22166 | + | 9.46177i | 0.507997 | + | 0.772550i | ||||
\(151\) | 14.2936 | − | 10.9679i | 1.16320 | − | 0.892553i | 0.167561 | − | 0.985862i | \(-0.446411\pi\) |
0.995637 | + | 0.0933087i | \(0.0297443\pi\) | |||||||
\(152\) | −1.33681 | + | 9.24353i | −0.108429 | + | 0.749749i | ||||
\(153\) | −11.9839 | + | 8.27969i | −0.968843 | + | 0.669373i | ||||
\(154\) | −4.34799 | − | 12.1055i | −0.350371 | − | 0.975492i | ||||
\(155\) | −5.05132 | − | 1.71469i | −0.405731 | − | 0.137727i | ||||
\(156\) | −18.1513 | − | 10.2343i | −1.45327 | − | 0.819401i | ||||
\(157\) | −1.81713 | + | 3.68477i | −0.145023 | + | 0.294077i | −0.957249 | − | 0.289266i | \(-0.906589\pi\) |
0.812226 | + | 0.583343i | \(0.198256\pi\) | |||||||
\(158\) | −3.69146 | − | 12.8678i | −0.293677 | − | 1.02370i | ||||
\(159\) | 0.340337 | + | 3.20032i | 0.0269905 | + | 0.253802i | ||||
\(160\) | 2.51039 | + | 2.40025i | 0.198463 | + | 0.189756i | ||||
\(161\) | 8.24836i | 0.650062i | ||||||||
\(162\) | −11.9821 | − | 4.29301i | −0.941400 | − | 0.337291i | ||||
\(163\) | 9.00266 | + | 13.4734i | 0.705143 | + | 1.05532i | 0.995157 | + | 0.0982986i | \(0.0313400\pi\) |
−0.290014 | + | 0.957022i | \(0.593660\pi\) | |||||||
\(164\) | −0.635869 | − | 3.79414i | −0.0496530 | − | 0.296272i | ||||
\(165\) | 0.974523 | + | 3.12494i | 0.0758665 | + | 0.243276i | ||||
\(166\) | 6.59063 | + | 5.57800i | 0.511532 | + | 0.432937i | ||||
\(167\) | 4.57809 | + | 3.51289i | 0.354263 | + | 0.271836i | 0.770526 | − | 0.637409i | \(-0.219994\pi\) |
−0.416263 | + | 0.909244i | \(0.636660\pi\) | |||||||
\(168\) | −11.8083 | + | 8.37350i | −0.911032 | + | 0.646030i | ||||
\(169\) | −18.3933 | + | 14.1137i | −1.41487 | + | 1.08567i | ||||
\(170\) | 0.201759 | − | 4.21107i | 0.0154742 | − | 0.322974i | ||||
\(171\) | 9.20999 | + | 3.64825i | 0.704306 | + | 0.278988i | ||||
\(172\) | −6.85763 | + | 3.68689i | −0.522889 | + | 0.281122i | ||||
\(173\) | 0.475358 | + | 0.416878i | 0.0361408 | + | 0.0316946i | 0.677226 | − | 0.735775i | \(-0.263182\pi\) |
−0.641085 | + | 0.767470i | \(0.721515\pi\) | |||||||
\(174\) | −18.4996 | + | 18.2286i | −1.40245 | + | 1.38191i | ||||
\(175\) | 3.53560 | − | 13.1950i | 0.267266 | − | 0.997450i | ||||
\(176\) | −6.20775 | − | 10.6327i | −0.467927 | − | 0.801472i | ||||
\(177\) | 12.0533 | + | 1.89390i | 0.905981 | + | 0.142354i | ||||
\(178\) | 17.1572 | − | 7.46262i | 1.28598 | − | 0.559347i | ||||
\(179\) | −23.8332 | − | 4.74071i | −1.78137 | − | 0.354337i | −0.809008 | − | 0.587798i | \(-0.799995\pi\) |
−0.972366 | + | 0.233461i | \(0.924995\pi\) | |||||||
\(180\) | 3.09292 | − | 2.00124i | 0.230533 | − | 0.149164i | ||||
\(181\) | −1.61986 | + | 2.42429i | −0.120403 | + | 0.180196i | −0.886775 | − | 0.462201i | \(-0.847060\pi\) |
0.766372 | + | 0.642397i | \(0.222060\pi\) | |||||||
\(182\) | 5.33651 | + | 24.5641i | 0.395569 | + | 1.82081i | ||||
\(183\) | 13.4904 | + | 14.1811i | 0.997243 | + | 1.04830i | ||||
\(184\) | 1.44165 | + | 7.76264i | 0.106280 | + | 0.572269i | ||||
\(185\) | −1.48317 | + | 1.93291i | −0.109045 | + | 0.142110i | ||||
\(186\) | 6.98927 | − | 20.1012i | 0.512478 | − | 1.47389i | ||||
\(187\) | −4.80391 | + | 14.1519i | −0.351296 | + | 1.03489i | ||||
\(188\) | −9.04963 | + | 2.76915i | −0.660012 | + | 0.201961i | ||||
\(189\) | 5.74199 | + | 14.2399i | 0.417668 | + | 1.03580i | ||||
\(190\) | −2.45750 | + | 1.47702i | −0.178286 | + | 0.107154i | ||||
\(191\) | 0.713406 | − | 1.23566i | 0.0516203 | − | 0.0894089i | −0.839061 | − | 0.544038i | \(-0.816895\pi\) |
0.890681 | + | 0.454629i | \(0.150228\pi\) | |||||||
\(192\) | −9.64944 | + | 9.94426i | −0.696388 | + | 0.717665i | ||||
\(193\) | 2.31748 | + | 4.01400i | 0.166816 | + | 0.288934i | 0.937299 | − | 0.348527i | \(-0.113318\pi\) |
−0.770483 | + | 0.637461i | \(0.779985\pi\) | |||||||
\(194\) | −11.1904 | − | 6.20114i | −0.803421 | − | 0.445216i | ||||
\(195\) | −1.09106 | − | 6.30328i | −0.0781327 | − | 0.451387i | ||||
\(196\) | 3.37410 | + | 0.778110i | 0.241007 | + | 0.0555793i | ||||
\(197\) | 11.6553 | − | 2.31838i | 0.830406 | − | 0.165178i | 0.238457 | − | 0.971153i | \(-0.423359\pi\) |
0.591949 | + | 0.805975i | \(0.298359\pi\) | |||||||
\(198\) | −12.4953 | + | 3.79577i | −0.888002 | + | 0.269754i | ||||
\(199\) | 2.73987 | + | 6.61464i | 0.194224 | + | 0.468899i | 0.990749 | − | 0.135707i | \(-0.0433305\pi\) |
−0.796525 | + | 0.604606i | \(0.793331\pi\) | |||||||
\(200\) | 1.02117 | − | 13.0360i | 0.0722076 | − | 0.921781i | ||||
\(201\) | 18.5462 | − | 4.47662i | 1.30815 | − | 0.315757i | ||||
\(202\) | −23.1029 | − | 7.39219i | −1.62551 | − | 0.520112i | ||||
\(203\) | 31.2630 | + | 2.04909i | 2.19423 | + | 0.143818i | ||||
\(204\) | 16.7937 | + | 0.928855i | 1.17579 | + | 0.0650328i | ||||
\(205\) | 0.778697 | − | 0.887934i | 0.0543866 | − | 0.0620160i | ||||
\(206\) | 14.3305 | + | 10.6013i | 0.998452 | + | 0.738628i | ||||
\(207\) | 8.36388 | + | 0.417759i | 0.581330 | + | 0.0290363i | ||||
\(208\) | 9.31556 | + | 22.1849i | 0.645918 | + | 1.53824i | ||||
\(209\) | 9.81767 | − | 2.63064i | 0.679103 | − | 0.181965i | ||||
\(210\) | −4.28396 | − | 1.18183i | −0.295621 | − | 0.0815540i | ||||
\(211\) | 16.6709 | − | 5.65902i | 1.14768 | − | 0.389583i | 0.318143 | − | 0.948043i | \(-0.396941\pi\) |
0.829532 | + | 0.558459i | \(0.188607\pi\) | |||||||
\(212\) | 1.95477 | − | 3.16059i | 0.134254 | − | 0.217071i | ||||
\(213\) | 13.6402 | + | 7.15511i | 0.934612 | + | 0.490260i | ||||
\(214\) | 6.66285 | + | 4.28454i | 0.455463 | + | 0.292885i | ||||
\(215\) | −2.20826 | − | 0.914693i | −0.150602 | − | 0.0623816i | ||||
\(216\) | 7.89271 | + | 12.3978i | 0.537031 | + | 0.843563i | ||||
\(217\) | −23.7184 | + | 9.82448i | −1.61011 | + | 0.666929i | ||||
\(218\) | −3.09485 | + | 17.1266i | −0.209610 | + | 1.15996i | ||||
\(219\) | 1.21366 | + | 3.89175i | 0.0820113 | + | 0.262980i | ||||
\(220\) | 1.32284 | − | 3.54072i | 0.0891858 | − | 0.238715i | ||||
\(221\) | 12.9177 | − | 26.1944i | 0.868936 | − | 1.76203i | ||||
\(222\) | −7.66747 | − | 5.97385i | −0.514607 | − | 0.400939i | ||||
\(223\) | −0.576834 | − | 0.333035i | −0.0386277 | − | 0.0223017i | 0.480562 | − | 0.876961i | \(-0.340433\pi\) |
−0.519189 | + | 0.854659i | \(0.673766\pi\) | |||||||
\(224\) | 16.6999 | + | 0.718966i | 1.11581 | + | 0.0480380i | ||||
\(225\) | −13.2007 | − | 4.25341i | −0.880050 | − | 0.283560i | ||||
\(226\) | −6.50605 | − | 1.62130i | −0.432776 | − | 0.107847i | ||||
\(227\) | −10.4815 | + | 0.686993i | −0.695681 | + | 0.0455973i | −0.409141 | − | 0.912471i | \(-0.634172\pi\) |
−0.286540 | + | 0.958068i | \(0.592505\pi\) | |||||||
\(228\) | −5.82008 | − | 9.84741i | −0.385444 | − | 0.652161i | ||||
\(229\) | −15.0626 | + | 13.2095i | −0.995364 | + | 0.872911i | −0.991892 | − | 0.127083i | \(-0.959438\pi\) |
−0.00347191 | + | 0.999994i | \(0.501105\pi\) | |||||||
\(230\) | −1.56586 | + | 1.85013i | −0.103250 | + | 0.121994i | ||||
\(231\) | 13.4422 | + | 8.21471i | 0.884431 | + | 0.540489i | ||||
\(232\) | 29.7801 | − | 3.53572i | 1.95516 | − | 0.232131i | ||||
\(233\) | −2.82076 | − | 1.16840i | −0.184794 | − | 0.0765441i | 0.288368 | − | 0.957520i | \(-0.406887\pi\) |
−0.473162 | + | 0.880976i | \(0.656887\pi\) | |||||||
\(234\) | 25.1784 | − | 4.16714i | 1.64596 | − | 0.272414i | ||||
\(235\) | −2.41568 | − | 1.61411i | −0.157582 | − | 0.105293i | ||||
\(236\) | −9.65583 | − | 10.2595i | −0.628541 | − | 0.667834i | ||||
\(237\) | 13.4008 | + | 9.44610i | 0.870473 | + | 0.613590i | ||||
\(238\) | −12.6325 | − | 15.8773i | −0.818844 | − | 1.02917i | ||||
\(239\) | −3.78117 | + | 14.1115i | −0.244583 | + | 0.912798i | 0.729009 | + | 0.684504i | \(0.239981\pi\) |
−0.973592 | + | 0.228294i | \(0.926685\pi\) | |||||||
\(240\) | −4.23825 | − | 0.363485i | −0.273578 | − | 0.0234629i | ||||
\(241\) | 2.63511 | + | 9.83437i | 0.169743 | + | 0.633488i | 0.997388 | + | 0.0722358i | \(0.0230134\pi\) |
−0.827645 | + | 0.561252i | \(0.810320\pi\) | |||||||
\(242\) | 1.28309 | − | 1.73444i | 0.0824801 | − | 0.111494i | ||||
\(243\) | 14.7302 | − | 5.10119i | 0.944941 | − | 0.327241i | ||||
\(244\) | −2.26979 | − | 22.4865i | −0.145308 | − | 1.43955i | ||||
\(245\) | 0.470157 | + | 0.953384i | 0.0300372 | + | 0.0609095i | ||||
\(246\) | 3.51939 | + | 3.13267i | 0.224388 | + | 0.199731i | ||||
\(247\) | −19.6932 | + | 2.59266i | −1.25305 | + | 0.164967i | ||||
\(248\) | −20.6045 | + | 13.3914i | −1.30839 | + | 0.850357i | ||||
\(249\) | −10.5715 | − | 0.263848i | −0.669940 | − | 0.0167207i | ||||
\(250\) | 6.86487 | − | 4.76356i | 0.434172 | − | 0.301274i | ||||
\(251\) | −28.0570 | + | 5.58089i | −1.77094 | + | 0.352263i | −0.969365 | − | 0.245625i | \(-0.921007\pi\) |
−0.801580 | + | 0.597888i | \(0.796007\pi\) | |||||||
\(252\) | 4.84089 | − | 17.0556i | 0.304947 | − | 1.07440i | ||||
\(253\) | 7.14416 | − | 4.77357i | 0.449149 | − | 0.300112i | ||||
\(254\) | −12.8731 | + | 0.226266i | −0.807730 | + | 0.0141972i | ||||
\(255\) | 3.04009 | + | 4.17355i | 0.190378 | + | 0.261358i | ||||
\(256\) | 15.8421 | − | 2.24217i | 0.990132 | − | 0.140136i | ||||
\(257\) | −6.88193 | − | 11.9199i | −0.429283 | − | 0.743540i | 0.567526 | − | 0.823355i | \(-0.307900\pi\) |
−0.996810 | + | 0.0798147i | \(0.974567\pi\) | |||||||
\(258\) | 3.71407 | − | 8.78271i | 0.231228 | − | 0.546788i | ||||
\(259\) | 0.766878 | + | 11.7003i | 0.0476515 | + | 0.727021i | ||||
\(260\) | −3.46623 | + | 6.52285i | −0.214966 | + | 0.404530i | ||||
\(261\) | 3.66118 | − | 31.5970i | 0.226621 | − | 1.95581i | ||||
\(262\) | −25.3045 | − | 11.9306i | −1.56332 | − | 0.737077i | ||||
\(263\) | −7.62898 | − | 1.00437i | −0.470423 | − | 0.0619324i | −0.108412 | − | 0.994106i | \(-0.534576\pi\) |
−0.362011 | + | 0.932174i | \(0.617910\pi\) | |||||||
\(264\) | 14.0864 | + | 5.38155i | 0.866956 | + | 0.331211i | ||||
\(265\) | 1.13110 | − | 0.148912i | 0.0694828 | − | 0.00914758i | ||||
\(266\) | −4.20518 | + | 13.1425i | −0.257836 | + | 0.805817i | ||||
\(267\) | −10.6446 | + | 20.2924i | −0.651438 | + | 1.24187i | ||||
\(268\) | −20.0886 | − | 9.04340i | −1.22711 | − | 0.552414i | ||||
\(269\) | 13.3666 | + | 2.65878i | 0.814976 | + | 0.162109i | 0.584943 | − | 0.811074i | \(-0.301117\pi\) |
0.230032 | + | 0.973183i | \(0.426117\pi\) | |||||||
\(270\) | −1.41535 | + | 4.28410i | −0.0861356 | + | 0.260722i | ||||
\(271\) | 5.54143 | − | 5.54143i | 0.336618 | − | 0.336618i | −0.518475 | − | 0.855093i | \(-0.673500\pi\) |
0.855093 | + | 0.518475i | \(0.173500\pi\) | |||||||
\(272\) | −14.6636 | − | 12.7344i | −0.889113 | − | 0.772136i | ||||
\(273\) | −23.9494 | − | 19.3452i | −1.44948 | − | 1.17083i | ||||
\(274\) | 3.48638 | + | 4.38188i | 0.210620 | + | 0.264719i | ||||
\(275\) | −13.4748 | + | 4.57407i | −0.812559 | + | 0.275827i | ||||
\(276\) | −7.33478 | − | 6.30129i | −0.441502 | − | 0.379293i | ||||
\(277\) | −20.5662 | + | 10.1421i | −1.23570 | + | 0.609382i | −0.938450 | − | 0.345416i | \(-0.887738\pi\) |
−0.297255 | + | 0.954798i | \(0.596071\pi\) | |||||||
\(278\) | 17.5133 | + | 0.839092i | 1.05038 | + | 0.0503254i | ||||
\(279\) | 8.76079 | + | 24.5481i | 0.524495 | + | 1.46966i | ||||
\(280\) | 3.07179 | + | 4.11049i | 0.183574 | + | 0.245649i | ||||
\(281\) | −3.62681 | + | 27.5483i | −0.216357 | + | 1.64340i | 0.446597 | + | 0.894735i | \(0.352636\pi\) |
−0.662954 | + | 0.748660i | \(0.730698\pi\) | |||||||
\(282\) | 6.51042 | − | 9.58960i | 0.387690 | − | 0.571052i | ||||
\(283\) | 14.9353 | − | 13.0979i | 0.887810 | − | 0.778589i | −0.0882477 | − | 0.996099i | \(-0.528127\pi\) |
0.976058 | + | 0.217510i | \(0.0697934\pi\) | |||||||
\(284\) | −7.37958 | − | 16.1826i | −0.437898 | − | 0.960260i | ||||
\(285\) | 1.21138 | − | 3.29604i | 0.0717562 | − | 0.195241i | ||||
\(286\) | 18.1873 | − | 18.8381i | 1.07544 | − | 1.11392i | ||||
\(287\) | − | 5.68380i | − | 0.335504i | ||||||
\(288\) | 1.57484 | − | 16.8973i | 0.0927985 | − | 0.995685i | ||||
\(289\) | 6.57419i | 0.386717i | ||||||||
\(290\) | 6.62336 | + | 6.39455i | 0.388937 | + | 0.375501i | ||||
\(291\) | 15.4394 | − | 2.67248i | 0.905074 | − | 0.156663i | ||||
\(292\) | 1.64744 | − | 4.40955i | 0.0964093 | − | 0.258050i | ||||
\(293\) | 14.0550 | − | 12.3259i | 0.821104 | − | 0.720089i | −0.141811 | − | 0.989894i | \(-0.545293\pi\) |
0.962915 | + | 0.269805i | \(0.0869593\pi\) | |||||||
\(294\) | −3.81726 | + | 1.84758i | −0.222627 | + | 0.107753i | ||||
\(295\) | 0.564541 | − | 4.28812i | 0.0328689 | − | 0.249664i | ||||
\(296\) | 2.76669 | + | 10.8773i | 0.160811 | + | 0.632228i | ||||
\(297\) | 9.01057 | − | 13.2144i | 0.522846 | − | 0.766776i | ||||
\(298\) | −0.529630 | + | 11.0543i | −0.0306806 | + | 0.640358i | ||||
\(299\) | −15.0598 | + | 7.42665i | −0.870928 | + | 0.429494i | ||||
\(300\) | 9.03255 | + | 13.2243i | 0.521495 | + | 0.763503i | ||||
\(301\) | −10.8927 | + | 3.69758i | −0.627847 | + | 0.213125i | ||||
\(302\) | 19.9385 | − | 15.8638i | 1.14733 | − | 0.912857i | ||||
\(303\) | 27.7219 | − | 10.6805i | 1.59258 | − | 0.613578i | ||||
\(304\) | −1.66051 | + | 13.1035i | −0.0952366 | + | 0.751539i | ||||
\(305\) | 4.90608 | − | 4.90608i | 0.280921 | − | 0.280921i | ||||
\(306\) | −16.7394 | + | 12.0053i | −0.956930 | + | 0.686296i | ||||
\(307\) | 13.0589 | + | 2.59758i | 0.745311 | + | 0.148252i | 0.553115 | − | 0.833105i | \(-0.313439\pi\) |
0.192196 | + | 0.981357i | \(0.438439\pi\) | |||||||
\(308\) | −6.44890 | − | 17.0091i | −0.367460 | − | 0.969184i | ||||
\(309\) | −21.8139 | + | 0.883870i | −1.24095 | + | 0.0502816i | ||||
\(310\) | −7.18515 | − | 2.29902i | −0.408089 | − | 0.130576i | ||||
\(311\) | 11.6336 | − | 1.53159i | 0.659679 | − | 0.0868484i | 0.206748 | − | 0.978394i | \(-0.433712\pi\) |
0.452931 | + | 0.891546i | \(0.350379\pi\) | |||||||
\(312\) | −25.9202 | − | 14.0202i | −1.46744 | − | 0.793735i | ||||
\(313\) | −2.79382 | − | 0.367813i | −0.157916 | − | 0.0207900i | 0.0511536 | − | 0.998691i | \(-0.483710\pi\) |
−0.209070 | + | 0.977901i | \(0.567044\pi\) | |||||||
\(314\) | −2.47783 | + | 5.25541i | −0.139832 | + | 0.296580i | ||||
\(315\) | 4.99547 | − | 2.16075i | 0.281463 | − | 0.121745i | ||||
\(316\) | −5.53952 | − | 18.1032i | −0.311622 | − | 1.01838i | ||||
\(317\) | 0.367331 | + | 5.60439i | 0.0206314 | + | 0.314774i | 0.995685 | + | 0.0928025i | \(0.0295825\pi\) |
−0.975053 | + | 0.221971i | \(0.928751\pi\) | |||||||
\(318\) | 0.560773 | + | 4.51678i | 0.0314466 | + | 0.253288i | ||||
\(319\) | −16.3181 | − | 28.2637i | −0.913636 | − | 1.58246i | ||||
\(320\) | 3.60933 | + | 3.33155i | 0.201768 | + | 0.186239i | ||||
\(321\) | −9.64747 | + | 1.02596i | −0.538469 | + | 0.0572633i | ||||
\(322\) | 0.204999 | + | 11.6631i | 0.0114241 | + | 0.649962i | ||||
\(323\) | 13.3307 | − | 8.90728i | 0.741739 | − | 0.495614i | ||||
\(324\) | −17.0493 | − | 5.77250i | −0.947183 | − | 0.320695i | ||||
\(325\) | 27.2747 | − | 5.42527i | 1.51293 | − | 0.300940i | ||||
\(326\) | 13.0646 | + | 18.8276i | 0.723580 | + | 1.04277i | ||||
\(327\) | −10.1938 | − | 18.7199i | −0.563721 | − | 1.03521i | ||||
\(328\) | −0.993412 | − | 5.34909i | −0.0548520 | − | 0.295354i | ||||
\(329\) | −13.8626 | + | 1.82505i | −0.764271 | + | 0.100618i | ||||
\(330\) | 1.45564 | + | 4.39443i | 0.0801301 | + | 0.241905i | ||||
\(331\) | 11.6856 | + | 23.6960i | 0.642298 | + | 1.30245i | 0.937822 | + | 0.347116i | \(0.112839\pi\) |
−0.295524 | + | 0.955335i | \(0.595494\pi\) | |||||||
\(332\) | 9.45775 | + | 7.72347i | 0.519061 | + | 0.423881i | ||||
\(333\) | 11.9030 | − | 0.185027i | 0.652280 | − | 0.0101394i | ||||
\(334\) | 6.56071 | + | 4.85344i | 0.358986 | + | 0.265568i | ||||
\(335\) | −1.75043 | − | 6.53270i | −0.0956363 | − | 0.356919i | ||||
\(336\) | −16.4888 | + | 12.1336i | −0.899538 | + | 0.661940i | ||||
\(337\) | 8.94598 | − | 33.3869i | 0.487319 | − | 1.81870i | −0.0820662 | − | 0.996627i | \(-0.526152\pi\) |
0.569385 | − | 0.822071i | \(-0.307181\pi\) | |||||||
\(338\) | −25.6572 | + | 20.4138i | −1.39557 | + | 1.11036i | ||||
\(339\) | 7.45339 | − | 3.44715i | 0.404813 | − | 0.187224i | ||||
\(340\) | 0.180628 | − | 5.95945i | 0.00979592 | − | 0.323196i | ||||
\(341\) | 22.2358 | + | 14.8575i | 1.20414 | + | 0.804578i | ||||
\(342\) | 13.1136 | + | 4.92971i | 0.709100 | + | 0.266568i | ||||
\(343\) | −14.3832 | − | 5.95773i | −0.776621 | − | 0.321687i | ||||
\(344\) | −9.60502 | + | 5.38367i | −0.517868 | + | 0.290268i | ||||
\(345\) | 0.0740675 | − | 2.96763i | 0.00398766 | − | 0.159772i | ||||
\(346\) | 0.682515 | + | 0.577649i | 0.0366922 | + | 0.0310546i | ||||
\(347\) | −1.93667 | + | 1.69841i | −0.103966 | + | 0.0911755i | −0.709751 | − | 0.704453i | \(-0.751192\pi\) |
0.605785 | + | 0.795628i | \(0.292859\pi\) | |||||||
\(348\) | −25.7053 | + | 26.2350i | −1.37795 | + | 1.40634i | ||||
\(349\) | 15.4384 | − | 1.01189i | 0.826401 | − | 0.0541652i | 0.353668 | − | 0.935371i | \(-0.384934\pi\) |
0.472733 | + | 0.881206i | \(0.343268\pi\) | |||||||
\(350\) | 4.67138 | − | 18.7456i | 0.249696 | − | 1.00199i | ||||
\(351\) | −20.8291 | + | 23.3050i | −1.11178 | + | 1.24393i | ||||
\(352\) | −9.04199 | − | 14.8804i | −0.481940 | − | 0.793125i | ||||
\(353\) | −2.31697 | − | 1.33770i | −0.123320 | − | 0.0711987i | 0.437071 | − | 0.899427i | \(-0.356016\pi\) |
−0.560391 | + | 0.828228i | \(0.689349\pi\) | |||||||
\(354\) | 17.0904 | + | 2.37840i | 0.908343 | + | 0.126411i | ||||
\(355\) | 2.41494 | − | 4.89701i | 0.128172 | − | 0.259906i | ||||
\(356\) | 24.0747 | − | 10.9785i | 1.27595 | − | 0.581861i | ||||
\(357\) | 24.2436 | + | 5.45451i | 1.28311 | + | 0.288683i | ||||
\(358\) | −33.8178 | − | 6.11101i | −1.78733 | − | 0.322977i | ||||
\(359\) | 1.29656 | − | 0.537051i | 0.0684296 | − | 0.0283445i | −0.348206 | − | 0.937418i | \(-0.613209\pi\) |
0.416636 | + | 0.909074i | \(0.363209\pi\) | |||||||
\(360\) | 4.32364 | − | 2.90662i | 0.227876 | − | 0.153192i | ||||
\(361\) | 7.47997 | + | 3.09831i | 0.393683 | + | 0.163069i | ||||
\(362\) | −2.23022 | + | 3.46819i | −0.117218 | + | 0.182284i | ||||
\(363\) | 0.106976 | + | 2.64016i | 0.00561478 | + | 0.138572i | ||||
\(364\) | 8.15630 | + | 34.6009i | 0.427506 | + | 1.81358i | ||||
\(365\) | 1.36840 | − | 0.464509i | 0.0716252 | − | 0.0243135i | ||||
\(366\) | 19.4279 | + | 19.7167i | 1.01551 | + | 1.03061i | ||||
\(367\) | 7.70645 | − | 2.06494i | 0.402273 | − | 0.107789i | −0.0520090 | − | 0.998647i | \(-0.516562\pi\) |
0.454282 | + | 0.890858i | \(0.349896\pi\) | |||||||
\(368\) | 2.23141 | + | 10.9405i | 0.116320 | + | 0.570313i | ||||
\(369\) | −5.76339 | − | 0.287870i | −0.300030 | − | 0.0149859i | ||||
\(370\) | −2.04916 | + | 2.76998i | −0.106531 | + | 0.144005i | ||||
\(371\) | 3.62016 | − | 4.12801i | 0.187950 | − | 0.214315i | ||||
\(372\) | 9.38321 | − | 28.5967i | 0.486497 | − | 1.48267i | ||||
\(373\) | −28.6847 | − | 1.88010i | −1.48524 | − | 0.0973477i | −0.698934 | − | 0.715187i | \(-0.746342\pi\) |
−0.786305 | + | 0.617839i | \(0.788008\pi\) | |||||||
\(374\) | −6.44098 | + | 20.1300i | −0.333055 | + | 1.04090i | ||||
\(375\) | −2.89447 | + | 9.81575i | −0.149470 | + | 0.506883i | ||||
\(376\) | −12.7273 | + | 4.14048i | −0.656361 | + | 0.213529i | ||||
\(377\) | 24.4073 | + | 58.9246i | 1.25704 | + | 3.03477i | ||||
\(378\) | 8.47305 | + | 19.9925i | 0.435807 | + | 1.02830i | ||||
\(379\) | −6.66596 | + | 1.32594i | −0.342408 | + | 0.0681091i | −0.363299 | − | 0.931673i | \(-0.618350\pi\) |
0.0208913 | + | 0.999782i | \(0.493350\pi\) | |||||||
\(380\) | −3.43818 | + | 2.14958i | −0.176375 | + | 0.110271i | ||||
\(381\) | 12.1113 | − | 10.0980i | 0.620479 | − | 0.517336i | ||||
\(382\) | 0.978043 | − | 1.76494i | 0.0500410 | − | 0.0903023i | ||||
\(383\) | −0.211567 | − | 0.366445i | −0.0108106 | − | 0.0187245i | 0.860570 | − | 0.509333i | \(-0.170108\pi\) |
−0.871380 | + | 0.490609i | \(0.836775\pi\) | |||||||
\(384\) | −13.3971 | + | 14.3010i | −0.683668 | + | 0.729793i | ||||
\(385\) | 2.79219 | − | 4.83621i | 0.142303 | − | 0.246476i | ||||
\(386\) | 3.37667 | + | 5.61818i | 0.171868 | + | 0.285958i | ||||
\(387\) | 3.19768 | + | 11.2326i | 0.162547 | + | 0.570983i | ||||
\(388\) | −15.9772 | − | 8.49026i | −0.811121 | − | 0.431028i | ||||
\(389\) | −7.78425 | + | 22.9317i | −0.394677 | + | 1.16268i | 0.550137 | + | 0.835074i | \(0.314576\pi\) |
−0.944814 | + | 0.327607i | \(0.893758\pi\) | |||||||
\(390\) | −1.69942 | − | 8.88569i | −0.0860533 | − | 0.449945i | ||||
\(391\) | 8.25074 | − | 10.7526i | 0.417258 | − | 0.543781i | ||||
\(392\) | 4.79031 | + | 1.01639i | 0.241947 | + | 0.0513352i | ||||
\(393\) | 33.3070 | − | 8.03952i | 1.68011 | − | 0.405540i | ||||
\(394\) | 16.4229 | − | 3.56786i | 0.827375 | − | 0.179746i | ||||
\(395\) | 3.22892 | − | 4.83242i | 0.162465 | − | 0.243146i | ||||
\(396\) | −17.5739 | + | 5.67775i | −0.883124 | + | 0.285318i | ||||
\(397\) | 23.8511 | + | 4.74428i | 1.19705 | + | 0.238109i | 0.753078 | − | 0.657931i | \(-0.228568\pi\) |
0.443975 | + | 0.896039i | \(0.353568\pi\) | |||||||
\(398\) | 4.03856 | + | 9.28497i | 0.202435 | + | 0.465414i | ||||
\(399\) | −6.07579 | − | 15.7701i | −0.304170 | − | 0.789494i | ||||
\(400\) | 1.11994 | − | 18.4581i | 0.0559972 | − | 0.922907i | ||||
\(401\) | −5.78809 | + | 21.6015i | −0.289044 | + | 1.07873i | 0.656790 | + | 0.754074i | \(0.271914\pi\) |
−0.945834 | + | 0.324652i | \(0.894753\pi\) | |||||||
\(402\) | 26.1130 | − | 6.79086i | 1.30240 | − | 0.338697i | ||||
\(403\) | −39.2929 | − | 34.4590i | −1.95732 | − | 1.71652i | ||||
\(404\) | −32.8510 | − | 9.87834i | −1.63440 | − | 0.491466i | ||||
\(405\) | −1.93801 | − | 5.17486i | −0.0963004 | − | 0.257141i | ||||
\(406\) | 44.2567 | + | 2.12041i | 2.19642 | + | 0.105234i | ||||
\(407\) | 9.69016 | − | 7.43552i | 0.480324 | − | 0.368565i | ||||
\(408\) | 23.7693 | + | 0.896019i | 1.17675 | + | 0.0443595i | ||||
\(409\) | 23.6121 | + | 18.1182i | 1.16754 | + | 0.895888i | 0.996006 | − | 0.0892893i | \(-0.0284596\pi\) |
0.171538 | + | 0.985177i | \(0.445126\pi\) | |||||||
\(410\) | 1.07901 | − | 1.27489i | 0.0532883 | − | 0.0629622i | ||||
\(411\) | −6.69085 | − | 1.50536i | −0.330035 | − | 0.0742539i | ||||
\(412\) | 20.5267 | + | 14.6340i | 1.01128 | + | 0.720967i | ||||
\(413\) | −11.5643 | − | 17.3072i | −0.569043 | − | 0.851633i | ||||
\(414\) | 11.8369 | + | 0.382840i | 0.581750 | + | 0.0188156i | ||||
\(415\) | 3.74858i | 0.184011i | ||||||||
\(416\) | 13.7235 | + | 31.1378i | 0.672851 | + | 1.52665i | ||||
\(417\) | −17.3573 | + | 12.6434i | −0.849990 | + | 0.619149i | ||||
\(418\) | 13.8168 | − | 3.96371i | 0.675800 | − | 0.193871i | ||||
\(419\) | −11.5381 | + | 23.3969i | −0.563672 | + | 1.14301i | 0.409367 | + | 0.912370i | \(0.365750\pi\) |
−0.973038 | + | 0.230643i | \(0.925917\pi\) | |||||||
\(420\) | −6.08687 | − | 1.56463i | −0.297009 | − | 0.0763462i | ||||
\(421\) | −18.0495 | − | 6.12699i | −0.879680 | − | 0.298611i | −0.155180 | − | 0.987886i | \(-0.549596\pi\) |
−0.724500 | + | 0.689275i | \(0.757929\pi\) | |||||||
\(422\) | 23.4320 | − | 8.41616i | 1.14065 | − | 0.409692i | ||||
\(423\) | 1.14850 | + | 14.1492i | 0.0558420 | + | 0.687958i | ||||
\(424\) | 2.68549 | − | 4.51765i | 0.130419 | − | 0.219396i | ||||
\(425\) | −17.8078 | + | 13.6644i | −0.863807 | + | 0.662822i | ||||
\(426\) | 19.4650 | + | 9.77829i | 0.943083 | + | 0.473760i | ||||
\(427\) | 2.18389 | − | 33.3198i | 0.105686 | − | 1.61246i | ||||
\(428\) | 9.52772 | + | 5.89273i | 0.460540 | + | 0.284836i | ||||
\(429\) | −2.89527 | + | 31.9389i | −0.139785 | + | 1.54203i | ||||
\(430\) | −3.14521 | − | 1.23849i | −0.151675 | − | 0.0597252i | ||||
\(431\) | −5.64298 | − | 5.64298i | −0.271813 | − | 0.271813i | 0.558017 | − | 0.829830i | \(-0.311562\pi\) |
−0.829830 | + | 0.558017i | \(0.811562\pi\) | |||||||
\(432\) | 11.4684 | + | 17.3343i | 0.551772 | + | 0.833995i | ||||
\(433\) | 0.400992 | − | 0.400992i | 0.0192704 | − | 0.0192704i | −0.697406 | − | 0.716676i | \(-0.745662\pi\) |
0.716676 | + | 0.697406i | \(0.245662\pi\) | |||||||
\(434\) | −33.2935 | + | 14.4812i | −1.59814 | + | 0.695122i | ||||
\(435\) | −11.2295 | − | 1.01796i | −0.538415 | − | 0.0488074i | ||||
\(436\) | −3.95045 | + | 24.2939i | −0.189192 | + | 1.16347i | ||||
\(437\) | −9.19781 | − | 0.602856i | −0.439991 | − | 0.0288385i | ||||
\(438\) | 1.81283 | + | 5.47275i | 0.0866202 | + | 0.261498i | ||||
\(439\) | 6.42728 | + | 8.37620i | 0.306758 | + | 0.399774i | 0.921138 | − | 0.389236i | \(-0.127261\pi\) |
−0.614381 | + | 0.789010i | \(0.710594\pi\) | |||||||
\(440\) | 1.78249 | − | 5.03943i | 0.0849769 | − | 0.240246i | ||||
\(441\) | 2.22456 | − | 4.69349i | 0.105932 | − | 0.223500i | ||||
\(442\) | 17.6145 | − | 37.3598i | 0.837836 | − | 1.77703i | ||||
\(443\) | 0.297304 | − | 0.875829i | 0.0141253 | − | 0.0416119i | −0.939639 | − | 0.342168i | \(-0.888839\pi\) |
0.953764 | + | 0.300556i | \(0.0971722\pi\) | |||||||
\(444\) | −10.9902 | − | 8.25644i | −0.521573 | − | 0.391833i | ||||
\(445\) | 7.28523 | + | 3.59268i | 0.345353 | + | 0.170309i | ||||
\(446\) | −0.823918 | − | 0.456574i | −0.0390136 | − | 0.0216194i | ||||
\(447\) | −7.98042 | − | 10.9558i | −0.377461 | − | 0.518192i | ||||
\(448\) | 23.6314 | + | 0.601569i | 1.11648 | + | 0.0284215i | ||||
\(449\) | 0.497617 | 0.0234840 | 0.0117420 | − | 0.999931i | \(-0.496262\pi\) | ||||
0.0117420 | + | 0.999931i | \(0.496262\pi\) | |||||||
\(450\) | −18.7715 | − | 5.68621i | −0.884897 | − | 0.268051i | ||||
\(451\) | −4.92291 | + | 3.28938i | −0.231811 | + | 0.154891i | ||||
\(452\) | −9.23981 | − | 2.13081i | −0.434604 | − | 0.100225i | ||||
\(453\) | −6.84971 | + | 30.4448i | −0.321827 | + | 1.43042i | ||||
\(454\) | −14.8037 | + | 1.23190i | −0.694772 | + | 0.0578161i | ||||
\(455\) | −6.64361 | + | 8.65812i | −0.311457 | + | 0.405899i | ||||
\(456\) | −8.47431 | − | 13.7795i | −0.396846 | − | 0.645286i | ||||
\(457\) | 3.87588 | + | 5.05114i | 0.181306 | + | 0.236282i | 0.875161 | − | 0.483833i | \(-0.160756\pi\) |
−0.693855 | + | 0.720115i | \(0.744089\pi\) | |||||||
\(458\) | −20.9701 | + | 19.0526i | −0.979870 | + | 0.890268i | ||||
\(459\) | 6.75877 | − | 24.3068i | 0.315472 | − | 1.13455i | ||||
\(460\) | −2.16814 | + | 2.65498i | −0.101090 | + | 0.123789i | ||||
\(461\) | 1.63776 | − | 1.86751i | 0.0762783 | − | 0.0869787i | −0.712442 | − | 0.701731i | \(-0.752411\pi\) |
0.788720 | + | 0.614752i | \(0.210744\pi\) | |||||||
\(462\) | 19.2113 | + | 11.2815i | 0.893792 | + | 0.524862i | ||||
\(463\) | 13.0996 | + | 3.51003i | 0.608790 | + | 0.163125i | 0.550027 | − | 0.835147i | \(-0.314618\pi\) |
0.0587635 | + | 0.998272i | \(0.481284\pi\) | |||||||
\(464\) | 42.0211 | − | 5.73962i | 1.95078 | − | 0.266455i | ||||
\(465\) | 8.62172 | − | 3.32171i | 0.399823 | − | 0.154041i | ||||
\(466\) | −4.01757 | − | 1.58200i | −0.186111 | − | 0.0732848i | ||||
\(467\) | −0.142233 | + | 0.715056i | −0.00658178 | + | 0.0330888i | −0.983937 | − | 0.178518i | \(-0.942870\pi\) |
0.977355 | + | 0.211607i | \(0.0678697\pi\) | |||||||
\(468\) | 35.4985 | − | 6.51808i | 1.64092 | − | 0.301298i | ||||
\(469\) | −27.0631 | − | 18.0830i | −1.24966 | − | 0.834996i | ||||
\(470\) | −3.45588 | − | 2.22230i | −0.159408 | − | 0.102507i | ||||
\(471\) | −1.66970 | − | 6.91741i | −0.0769358 | − | 0.318738i | ||||
\(472\) | −13.9083 | − | 14.2668i | −0.640181 | − | 0.656685i | ||||
\(473\) | 9.50654 | + | 7.29462i | 0.437111 | + | 0.335407i | ||||
\(474\) | 19.1834 | + | 13.0237i | 0.881122 | + | 0.598197i | ||||
\(475\) | 14.4555 | + | 4.90697i | 0.663262 | + | 0.225147i | ||||
\(476\) | −18.2569 | − | 22.1364i | −0.836804 | − | 1.01462i | ||||
\(477\) | −4.00246 | − | 3.87994i | −0.183260 | − | 0.177650i | ||||
\(478\) | −4.99584 | + | 20.0476i | −0.228504 | + | 0.916955i | ||||
\(479\) | −3.32610 | − | 1.92033i | −0.151974 | − | 0.0877420i | 0.422085 | − | 0.906556i | \(-0.361298\pi\) |
−0.574058 | + | 0.818814i | \(0.694632\pi\) | |||||||
\(480\) | −6.00190 | − | 0.408632i | −0.273948 | − | 0.0186514i | ||||
\(481\) | −20.6718 | + | 11.9349i | −0.942552 | + | 0.544182i | ||||
\(482\) | 3.97045 | + | 13.8403i | 0.180849 | + | 0.630407i | ||||
\(483\) | −9.14887 | − | 10.9729i | −0.416288 | − | 0.499285i | ||||
\(484\) | 1.77118 | − | 2.48437i | 0.0805080 | − | 0.112926i | ||||
\(485\) | −1.08361 | − | 5.44768i | −0.0492042 | − | 0.247366i | ||||
\(486\) | 20.7016 | − | 7.57914i | 0.939044 | − | 0.343797i | ||||
\(487\) | 15.9713 | − | 6.61554i | 0.723730 | − | 0.299779i | 0.00975729 | − | 0.999952i | \(-0.496894\pi\) |
0.713973 | + | 0.700174i | \(0.246894\pi\) | |||||||
\(488\) | −3.76833 | − | 31.7394i | −0.170585 | − | 1.43677i | ||||
\(489\) | −26.9207 | − | 7.93838i | −1.21740 | − | 0.358986i | ||||
\(490\) | 0.688495 | + | 1.33640i | 0.0311030 | + | 0.0603722i | ||||
\(491\) | 1.75750 | − | 26.8142i | 0.0793148 | − | 1.21011i | −0.753836 | − | 0.657063i | \(-0.771798\pi\) |
0.833150 | − | 0.553047i | \(-0.186535\pi\) | |||||||
\(492\) | 5.05426 | + | 4.34210i | 0.227864 | + | 0.195757i | ||||
\(493\) | −38.7048 | − | 33.9432i | −1.74318 | − | 1.52873i | ||||
\(494\) | −27.7816 | + | 4.15544i | −1.24995 | + | 0.186962i | ||||
\(495\) | −4.76252 | − | 3.07623i | −0.214059 | − | 0.138266i | ||||
\(496\) | −28.8019 | + | 19.4475i | −1.29324 | + | 0.873219i | ||||
\(497\) | −6.80111 | − | 25.3821i | −0.305071 | − | 1.13854i | ||||
\(498\) | −14.9546 | − | 0.110344i | −0.670130 | − | 0.00494462i | ||||
\(499\) | 6.01586 | + | 17.7222i | 0.269307 | + | 0.793353i | 0.994493 | + | 0.104800i | \(0.0334203\pi\) |
−0.725186 | + | 0.688553i | \(0.758246\pi\) | |||||||
\(500\) | 9.58850 | − | 6.90627i | 0.428811 | − | 0.308858i | ||||
\(501\) | −9.98671 | + | 0.404649i | −0.446173 | + | 0.0180784i | ||||
\(502\) | −39.5338 | + | 8.58866i | −1.76448 | + | 0.383331i | ||||
\(503\) | 1.43467 | − | 3.46360i | 0.0639687 | − | 0.154434i | −0.888663 | − | 0.458562i | \(-0.848365\pi\) |
0.952631 | + | 0.304127i | \(0.0983648\pi\) | |||||||
\(504\) | 6.42110 | − | 24.2369i | 0.286019 | − | 1.07960i | ||||
\(505\) | −4.03007 | − | 9.72946i | −0.179336 | − | 0.432955i | ||||
\(506\) | 9.98317 | − | 6.92737i | 0.443806 | − | 0.307959i | ||||
\(507\) | 8.81433 | − | 39.1769i | 0.391458 | − | 1.73991i | ||||
\(508\) | −18.1969 | + | 0.639877i | −0.807356 | + | 0.0283900i | ||||
\(509\) | −13.5261 | − | 6.67031i | −0.599532 | − | 0.295656i | 0.117087 | − | 0.993122i | \(-0.462644\pi\) |
−0.716619 | + | 0.697465i | \(0.754311\pi\) | |||||||
\(510\) | 4.40240 | + | 5.82583i | 0.194942 | + | 0.257972i | ||||
\(511\) | 3.47735 | − | 6.02294i | 0.153829 | − | 0.266439i | ||||
\(512\) | 22.3450 | − | 3.56415i | 0.987517 | − | 0.157515i | ||||
\(513\) | −16.2987 | + | 5.36216i | −0.719606 | + | 0.236745i | ||||
\(514\) | −10.0273 | − | 16.6836i | −0.442284 | − | 0.735881i | ||||
\(515\) | 0.506155 | + | 7.72243i | 0.0223039 | + | 0.340291i | ||||
\(516\) | 5.03340 | − | 12.5110i | 0.221583 | − | 0.550767i | ||||
\(517\) | 9.60344 | + | 10.9506i | 0.422359 | + | 0.481608i | ||||
\(518\) | 1.37515 | + | 16.5251i | 0.0604207 | + | 0.726071i | ||||
\(519\) | −1.09477 | − | 0.0273237i | −0.0480549 | − | 0.00119938i | ||||
\(520\) | −4.73912 | + | 9.30943i | −0.207824 | + | 0.408246i | ||||
\(521\) | −11.3178 | + | 27.3237i | −0.495844 | + | 1.19707i | 0.455859 | + | 0.890052i | \(0.349332\pi\) |
−0.951703 | + | 0.307021i | \(0.900668\pi\) | |||||||
\(522\) | 4.39160 | − | 44.7691i | 0.192215 | − | 1.95949i | ||||
\(523\) | 12.4820 | − | 18.6806i | 0.545799 | − | 0.816846i | −0.451346 | − | 0.892349i | \(-0.649056\pi\) |
0.997146 | + | 0.0755024i | \(0.0240561\pi\) | |||||||
\(524\) | −36.0770 | − | 16.2409i | −1.57603 | − | 0.709489i | ||||
\(525\) | 9.93212 | + | 21.4751i | 0.433473 | + | 0.937250i | ||||
\(526\) | −10.8123 | − | 1.23058i | −0.471439 | − | 0.0536556i | ||||
\(527\) | 40.7466 | + | 10.9180i | 1.77495 | + | 0.475597i | ||||
\(528\) | 20.0518 | + | 7.25939i | 0.872643 | + | 0.315924i | ||||
\(529\) | 14.6897 | − | 3.93609i | 0.638682 | − | 0.171134i | ||||
\(530\) | 1.59567 | − | 0.238672i | 0.0693113 | − | 0.0103673i | ||||
\(531\) | −18.1353 | + | 10.8497i | −0.787006 | + | 0.470837i | ||||
\(532\) | −5.61947 | + | 18.6879i | −0.243635 | + | 0.810224i | ||||
\(533\) | 10.3774 | − | 5.11757i | 0.449495 | − | 0.221667i | ||||
\(534\) | −14.5471 | + | 28.9579i | −0.629513 | + | 1.25313i | ||||
\(535\) | 0.448900 | + | 3.40973i | 0.0194076 | + | 0.147416i | ||||
\(536\) | −28.6300 | − | 12.2881i | −1.23663 | − | 0.530763i | ||||
\(537\) | 36.9638 | − | 20.1285i | 1.59511 | − | 0.868608i | ||||
\(538\) | 18.9664 | + | 3.42730i | 0.817699 | + | 0.147761i | ||||
\(539\) | −1.03966 | − | 5.22674i | −0.0447815 | − | 0.225132i | ||||
\(540\) | −1.89483 | + | 6.09287i | −0.0815404 | + | 0.262195i | ||||
\(541\) | −14.3693 | − | 21.5053i | −0.617787 | − | 0.924583i | −1.00000 | 0.000508837i | \(-0.999838\pi\) | |
0.382213 | − | 0.924074i | \(-0.375162\pi\) | |||||||
\(542\) | 7.69783 | − | 7.97327i | 0.330650 | − | 0.342481i | ||||
\(543\) | −0.534038 | − | 5.02177i | −0.0229178 | − | 0.215505i | ||||
\(544\) | −21.0508 | − | 17.6419i | −0.902546 | − | 0.756392i | ||||
\(545\) | −6.54368 | + | 3.77800i | −0.280301 | + | 0.161832i | ||||
\(546\) | −34.3451 | − | 26.7588i | −1.46983 | − | 1.14517i | ||||
\(547\) | −7.53419 | + | 0.493817i | −0.322139 | + | 0.0211141i | −0.225615 | − | 0.974217i | \(-0.572439\pi\) |
−0.0965238 | + | 0.995331i | \(0.530772\pi\) | |||||||
\(548\) | 5.03863 | + | 6.10932i | 0.215239 | + | 0.260977i | ||||
\(549\) | −33.6758 | − | 3.90204i | −1.43725 | − | 0.166535i | ||||
\(550\) | −18.9396 | + | 6.80260i | −0.807586 | + | 0.290064i | ||||
\(551\) | −4.56990 | + | 34.7118i | −0.194684 | + | 1.47877i | ||||
\(552\) | −10.5280 | − | 8.72771i | −0.448100 | − | 0.371476i | ||||
\(553\) | −3.65089 | − | 27.7313i | −0.155252 | − | 1.17925i | ||||
\(554\) | −28.8285 | + | 14.8521i | −1.22480 | + | 0.631004i | ||||
\(555\) | −0.170846 | − | 4.21647i | −0.00725201 | − | 0.178979i | ||||
\(556\) | 24.7846 | + | 0.751209i | 1.05110 | + | 0.0318584i | ||||
\(557\) | −5.29267 | + | 26.6081i | −0.224258 | + | 1.12742i | 0.690474 | + | 0.723357i | \(0.257402\pi\) |
−0.914732 | + | 0.404062i | \(0.867598\pi\) | |||||||
\(558\) | 12.9978 | + | 34.4932i | 0.550241 | + | 1.46021i | ||||
\(559\) | −16.5586 | − | 16.5586i | −0.700354 | − | 0.700354i | ||||
\(560\) | 4.44565 | + | 5.73588i | 0.187863 | + | 0.242385i | ||||
\(561\) | −9.30616 | − | 24.1548i | −0.392906 | − | 1.01982i | ||||
\(562\) | −4.44362 | + | 39.0433i | −0.187443 | + | 1.64694i | ||||
\(563\) | 5.61870 | + | 16.5522i | 0.236800 | + | 0.697590i | 0.998751 | + | 0.0499559i | \(0.0159081\pi\) |
−0.761952 | + | 0.647634i | \(0.775759\pi\) | |||||||
\(564\) | 8.96737 | − | 13.7214i | 0.377594 | − | 0.577777i | ||||
\(565\) | −1.28750 | − | 2.61080i | −0.0541656 | − | 0.109837i | ||||
\(566\) | 20.7929 | − | 18.8915i | 0.873991 | − | 0.794071i | ||||
\(567\) | −23.4332 | − | 12.5747i | −0.984102 | − | 0.528088i | ||||
\(568\) | −10.8369 | − | 22.6987i | −0.454705 | − | 0.952416i | ||||
\(569\) | −11.8550 | − | 1.56073i | −0.496986 | − | 0.0654294i | −0.122133 | − | 0.992514i | \(-0.538973\pi\) |
−0.374853 | + | 0.927084i | \(0.622307\pi\) | |||||||
\(570\) | 1.63097 | − | 4.69070i | 0.0683139 | − | 0.196472i | ||||
\(571\) | 9.75270 | + | 11.1208i | 0.408138 | + | 0.465392i | 0.918992 | − | 0.394275i | \(-0.129004\pi\) |
−0.510855 | + | 0.859667i | \(0.670671\pi\) | |||||||
\(572\) | 25.2486 | − | 27.0890i | 1.05570 | − | 1.13265i | ||||
\(573\) | 0.421503 | + | 2.43510i | 0.0176085 | + | 0.101728i | ||||
\(574\) | −0.141261 | − | 8.03686i | −0.00589611 | − | 0.335452i | ||||
\(575\) | 12.9049 | 0.538170 | ||||||||
\(576\) | 1.80687 | − | 23.9319i | 0.0752861 | − | 0.997162i | ||||
\(577\) | −0.952182 | −0.0396399 | −0.0198199 | − | 0.999804i | \(-0.506309\pi\) | ||||
−0.0198199 | + | 0.999804i | \(0.506309\pi\) | |||||||
\(578\) | 0.163390 | + | 9.29587i | 0.00679613 | + | 0.386657i | ||||
\(579\) | −7.53521 | − | 2.76939i | −0.313152 | − | 0.115092i | ||||
\(580\) | 9.52432 | + | 8.87725i | 0.395476 | + | 0.368608i | ||||
\(581\) | 11.8950 | + | 13.5636i | 0.493487 | + | 0.562714i | ||||
\(582\) | 21.7648 | − | 4.16259i | 0.902181 | − | 0.172545i | ||||
\(583\) | −5.67049 | − | 0.746534i | −0.234848 | − | 0.0309183i | ||||
\(584\) | 2.21988 | − | 6.27603i | 0.0918595 | − | 0.259704i | ||||
\(585\) | 8.44289 | + | 7.17516i | 0.349071 | + | 0.296656i | ||||
\(586\) | 19.5674 | − | 17.7781i | 0.808322 | − | 0.734407i | ||||
\(587\) | −0.291009 | − | 0.590107i | −0.0120112 | − | 0.0243563i | 0.890784 | − | 0.454426i | \(-0.150156\pi\) |
−0.902796 | + | 0.430070i | \(0.858489\pi\) | |||||||
\(588\) | −5.35168 | + | 2.70734i | −0.220699 | + | 0.111649i | ||||
\(589\) | −9.22182 | − | 27.1666i | −0.379978 | − | 1.11938i | ||||
\(590\) | 0.691685 | − | 6.07741i | 0.0284762 | − | 0.250203i | ||||
\(591\) | −12.9337 | + | 16.0119i | −0.532022 | + | 0.658643i | ||||
\(592\) | 4.18243 | + | 15.3116i | 0.171897 | + | 0.629304i | ||||
\(593\) | −15.4609 | − | 15.4609i | −0.634902 | − | 0.634902i | 0.314391 | − | 0.949294i | \(-0.398200\pi\) |
−0.949294 | + | 0.314391i | \(0.898200\pi\) | |||||||
\(594\) | 12.4125 | − | 18.9090i | 0.509290 | − | 0.775846i | ||||
\(595\) | 1.71851 | − | 8.63952i | 0.0704519 | − | 0.354186i | ||||
\(596\) | −0.474159 | + | 15.6439i | −0.0194223 | + | 0.640799i | ||||
\(597\) | −10.9817 | − | 5.76055i | −0.449450 | − | 0.235764i | ||||
\(598\) | −21.1099 | + | 10.8755i | −0.863246 | + | 0.444734i | ||||
\(599\) | 0.174936 | + | 1.32877i | 0.00714771 | + | 0.0542922i | 0.994647 | − | 0.103331i | \(-0.0329501\pi\) |
−0.987499 | + | 0.157623i | \(0.949617\pi\) | |||||||
\(600\) | 13.1007 | + | 18.4746i | 0.534832 | + | 0.754221i | ||||
\(601\) | 1.68859 | − | 12.8261i | 0.0688789 | − | 0.523187i | −0.921872 | − | 0.387494i | \(-0.873341\pi\) |
0.990751 | − | 0.135693i | \(-0.0433260\pi\) | |||||||
\(602\) | −15.3104 | + | 5.49909i | −0.624004 | + | 0.224126i | ||||
\(603\) | −19.7069 | + | 26.5263i | −0.802529 | + | 1.08023i | ||||
\(604\) | 27.7987 | − | 22.9268i | 1.13111 | − | 0.932879i | ||||
\(605\) | 0.934656 | − | 0.0612606i | 0.0379992 | − | 0.00249060i | ||||
\(606\) | 38.9333 | − | 15.7911i | 1.58156 | − | 0.641472i | ||||
\(607\) | 32.1093 | − | 18.5383i | 1.30328 | − | 0.752447i | 0.322312 | − | 0.946633i | \(-0.395540\pi\) |
0.980965 | + | 0.194186i | \(0.0622066\pi\) | |||||||
\(608\) | −2.02228 | + | 18.5696i | −0.0820145 | + | 0.753097i | ||||
\(609\) | −43.8624 | + | 31.9502i | −1.77739 | + | 1.29469i | ||||
\(610\) | 6.81525 | − | 7.05911i | 0.275941 | − | 0.285815i | ||||
\(611\) | −15.8138 | − | 23.6670i | −0.639756 | − | 0.957463i | ||||
\(612\) | −23.3711 | + | 17.3914i | −0.944721 | + | 0.703007i | ||||
\(613\) | 1.27250 | + | 6.39731i | 0.0513960 | + | 0.258385i | 0.997937 | − | 0.0641979i | \(-0.0204489\pi\) |
−0.946541 | + | 0.322583i | \(0.895449\pi\) | |||||||
\(614\) | 18.5298 | + | 3.34841i | 0.747801 | + | 0.135131i | ||||
\(615\) | −0.0510385 | + | 2.04494i | −0.00205807 | + | 0.0824599i | ||||
\(616\) | −9.54145 | − | 23.8905i | −0.384436 | − | 0.962577i | ||||
\(617\) | −3.26532 | − | 24.8026i | −0.131457 | − | 0.998515i | −0.922294 | − | 0.386489i | \(-0.873688\pi\) |
0.790837 | − | 0.612027i | \(-0.209645\pi\) | |||||||
\(618\) | −30.8227 | + | 1.79193i | −1.23987 | + | 0.0720821i | ||||
\(619\) | 14.1303 | − | 6.96832i | 0.567947 | − | 0.280080i | −0.135560 | − | 0.990769i | \(-0.543283\pi\) |
0.703506 | + | 0.710689i | \(0.251617\pi\) | |||||||
\(620\) | −10.2169 | − | 3.07223i | −0.410321 | − | 0.123384i | ||||
\(621\) | −11.5900 | + | 8.72124i | −0.465089 | + | 0.349971i | ||||
\(622\) | 16.4117 | − | 2.45479i | 0.658051 | − | 0.0984281i | ||||
\(623\) | 37.7607 | − | 10.1179i | 1.51285 | − | 0.405367i | ||||
\(624\) | −36.9995 | − | 19.1802i | −1.48116 | − | 0.767824i | ||||
\(625\) | −18.8234 | − | 5.04373i | −0.752938 | − | 0.201749i | ||||
\(626\) | −3.95959 | − | 0.450651i | −0.158257 | − | 0.0180116i | ||||
\(627\) | −10.1427 | + | 14.3891i | −0.405062 | + | 0.574644i | ||||
\(628\) | −3.37303 | + | 7.49271i | −0.134599 | + | 0.298992i | ||||
\(629\) | 10.7040 | − | 16.0196i | 0.426795 | − | 0.638744i | ||||
\(630\) | 7.00986 | − | 3.17945i | 0.279280 | − | 0.126672i | ||||
\(631\) | 13.1480 | − | 31.7421i | 0.523414 | − | 1.26363i | −0.412356 | − | 0.911023i | \(-0.635294\pi\) |
0.935770 | − | 0.352611i | \(-0.114706\pi\) | |||||||
\(632\) | −8.28277 | − | 25.4602i | −0.329471 | − | 1.01275i | ||||
\(633\) | −15.9007 | + | 26.0192i | −0.631998 | + | 1.03417i | ||||
\(634\) | 0.658692 | + | 7.91545i | 0.0261600 | + | 0.314363i | ||||
\(635\) | −3.68558 | − | 4.20260i | −0.146258 | − | 0.166775i | ||||
\(636\) | 0.905187 | + | 6.37276i | 0.0358930 | + | 0.252697i | ||||
\(637\) | 0.681143 | + | 10.3922i | 0.0269879 | + | 0.411755i | ||||
\(638\) | −23.7761 | − | 39.5592i | −0.941305 | − | 1.56616i | ||||
\(639\) | −26.0820 | + | 5.61082i | −1.03179 | + | 0.221960i | ||||
\(640\) | 5.18637 | + | 4.62109i | 0.205009 | + | 0.182665i | ||||
\(641\) | 11.1629 | − | 19.3348i | 0.440909 | − | 0.763678i | −0.556848 | − | 0.830615i | \(-0.687989\pi\) |
0.997757 | + | 0.0669370i | \(0.0213226\pi\) | |||||||
\(642\) | −13.6160 | + | 1.69047i | −0.537380 | + | 0.0667175i | ||||
\(643\) | −6.42847 | − | 3.17017i | −0.253514 | − | 0.125019i | 0.311092 | − | 0.950380i | \(-0.399305\pi\) |
−0.564606 | + | 0.825361i | \(0.690972\pi\) | |||||||
\(644\) | 0.579734 | + | 16.4865i | 0.0228447 | + | 0.649661i | ||||
\(645\) | 3.95224 | − | 1.23252i | 0.155619 | − | 0.0485304i | ||||
\(646\) | 18.6281 | − | 12.9262i | 0.732915 | − | 0.508573i | ||||
\(647\) | −11.8924 | − | 28.7108i | −0.467538 | − | 1.12874i | −0.965234 | − | 0.261386i | \(-0.915821\pi\) |
0.497696 | − | 0.867351i | \(-0.334179\pi\) | |||||||
\(648\) | −24.2511 | − | 7.73856i | −0.952672 | − | 0.303999i | ||||
\(649\) | −8.29770 | + | 20.0324i | −0.325713 | + | 0.786341i | ||||
\(650\) | 38.4314 | − | 8.34917i | 1.50740 | − | 0.327481i | ||||
\(651\) | 20.6558 | − | 39.3774i | 0.809566 | − | 1.54332i | ||||
\(652\) | 18.9412 | + | 26.2975i | 0.741794 | + | 1.02989i | ||||
\(653\) | −2.33162 | − | 6.86872i | −0.0912432 | − | 0.268794i | 0.891723 | − | 0.452582i | \(-0.149497\pi\) |
−0.982966 | + | 0.183789i | \(0.941164\pi\) | |||||||
\(654\) | −14.8793 | − | 26.2165i | −0.581827 | − | 1.02515i | ||||
\(655\) | −3.14358 | − | 11.7320i | −0.122830 | − | 0.458407i | ||||
\(656\) | −1.53762 | − | 7.53890i | −0.0600341 | − | 0.294345i | ||||
\(657\) | −5.93117 | − | 3.83109i | −0.231397 | − | 0.149465i | ||||
\(658\) | −19.5563 | + | 2.92514i | −0.762385 | + | 0.114034i | ||||
\(659\) | 19.7420 | + | 17.3132i | 0.769037 | + | 0.674428i | 0.951108 | − | 0.308858i | \(-0.0999467\pi\) |
−0.182071 | + | 0.983285i | \(0.558280\pi\) | |||||||
\(660\) | 2.16748 | + | 6.17752i | 0.0843690 | + | 0.240460i | ||||
\(661\) | −1.77449 | + | 27.0734i | −0.0690195 | + | 1.05303i | 0.813135 | + | 0.582075i | \(0.197759\pi\) |
−0.882155 | + | 0.470960i | \(0.843908\pi\) | |||||||
\(662\) | 17.1123 | + | 33.2156i | 0.665088 | + | 1.29096i | ||||
\(663\) | 11.8696 | + | 49.1747i | 0.460978 | + | 1.90979i | ||||
\(664\) | 13.5652 | + | 10.6859i | 0.526430 | + | 0.414693i | ||||
\(665\) | −5.53478 | + | 2.29258i | −0.214630 | + | 0.0889025i | ||||
\(666\) | 16.8262 | − | 0.557455i | 0.652001 | − | 0.0216009i | ||||
\(667\) | 5.77410 | + | 29.0284i | 0.223574 | + | 1.12398i | ||||
\(668\) | 9.39743 | + | 6.69968i | 0.363598 | + | 0.259218i | ||||
\(669\) | 1.13676 | − | 0.196768i | 0.0439499 | − | 0.00760748i | ||||
\(670\) | −2.63746 | − | 9.19370i | −0.101894 | − | 0.355184i | ||||
\(671\) | −30.1232 | + | 17.3916i | −1.16289 | + | 0.671396i | ||||
\(672\) | −23.0135 | + | 17.5666i | −0.887766 | + | 0.677646i | ||||
\(673\) | 30.4920 | + | 17.6046i | 1.17538 | + | 0.678607i | 0.954942 | − | 0.296794i | \(-0.0959174\pi\) |
0.220440 | + | 0.975401i | \(0.429251\pi\) | |||||||
\(674\) | 11.8198 | − | 47.4312i | 0.455282 | − | 1.82698i | ||||
\(675\) | 22.2789 | − | 8.98355i | 0.857515 | − | 0.345777i | ||||
\(676\) | −35.7719 | + | 29.5027i | −1.37584 | + | 1.13472i | ||||
\(677\) | 29.7126 | + | 10.0861i | 1.14195 | + | 0.387639i | 0.827406 | − | 0.561604i | \(-0.189816\pi\) |
0.314542 | + | 0.949244i | \(0.398149\pi\) | |||||||
\(678\) | 10.4534 | − | 5.05950i | 0.401460 | − | 0.194309i | ||||
\(679\) | −21.2074 | − | 16.2730i | −0.813865 | − | 0.624501i | ||||
\(680\) | 0.107295 | − | 8.43112i | 0.00411459 | − | 0.323319i | ||||
\(681\) | 13.1817 | − | 12.5397i | 0.505123 | − | 0.480522i | ||||
\(682\) | 31.8106 | + | 20.4558i | 1.21809 | + | 0.783293i | ||||
\(683\) | −8.12108 | − | 5.42634i | −0.310745 | − | 0.207633i | 0.390412 | − | 0.920640i | \(-0.372333\pi\) |
−0.701157 | + | 0.713007i | \(0.747333\pi\) | |||||||
\(684\) | 18.6650 | + | 6.64467i | 0.713675 | + | 0.254065i | ||||
\(685\) | −0.474282 | + | 2.38437i | −0.0181214 | + | 0.0911023i | ||||
\(686\) | −20.4859 | − | 8.06673i | −0.782155 | − | 0.307989i | ||||
\(687\) | 5.38630 | − | 34.2799i | 0.205500 | − | 1.30786i | ||||
\(688\) | −13.4477 | + | 7.85120i | −0.512687 | + | 0.299324i | ||||
\(689\) | 10.7964 | + | 2.89288i | 0.411309 | + | 0.110210i | ||||
\(690\) | 0.0309758 | − | 4.19806i | 0.00117923 | − | 0.159817i | ||||
\(691\) | −13.7801 | + | 15.7132i | −0.524219 | + | 0.597757i | −0.951990 | − | 0.306130i | \(-0.900966\pi\) |
0.427771 | + | 0.903887i | \(0.359299\pi\) | |||||||
\(692\) | 0.979429 | + | 0.799831i | 0.0372323 | + | 0.0304050i | ||||
\(693\) | −26.9939 | + | 3.98156i | −1.02541 | + | 0.151247i | ||||
\(694\) | −2.69623 | + | 2.44968i | −0.102347 | + | 0.0929885i | ||||
\(695\) | 4.63399 | + | 6.03914i | 0.175777 | + | 0.229078i | ||||
\(696\) | −35.6952 | + | 37.7350i | −1.35302 | + | 1.43034i | ||||
\(697\) | −5.68543 | + | 7.40940i | −0.215351 | + | 0.280651i | ||||
\(698\) | 21.8047 | − | 1.81450i | 0.825321 | − | 0.0686799i | ||||
\(699\) | 5.04844 | − | 1.57438i | 0.190950 | − | 0.0595484i | ||||
\(700\) | 6.13941 | − | 26.6222i | 0.232048 | − | 1.00623i | ||||
\(701\) | −33.2979 | + | 22.2489i | −1.25764 | + | 0.840330i | −0.992304 | − | 0.123825i | \(-0.960484\pi\) |
−0.265339 | + | 0.964155i | \(0.585484\pi\) | |||||||
\(702\) | −28.8731 | + | 33.4708i | −1.08974 | + | 1.26327i | ||||
\(703\) | −13.1031 | −0.494194 | ||||||||
\(704\) | −13.1552 | − | 20.8160i | −0.495804 | − | 0.784533i | ||||
\(705\) | 5.00394 | − | 0.532142i | 0.188459 | − | 0.0200416i | ||||
\(706\) | −3.30943 | − | 1.83392i | −0.124552 | − | 0.0690205i | ||||
\(707\) | −45.4556 | − | 22.4162i | −1.70953 | − | 0.843049i | ||||
\(708\) | 24.2248 | + | 2.93830i | 0.910424 | + | 0.110428i | ||||
\(709\) | −3.66137 | + | 10.7860i | −0.137505 | + | 0.405078i | −0.993769 | − | 0.111462i | \(-0.964447\pi\) |
0.856263 | + | 0.516540i | \(0.172780\pi\) | |||||||
\(710\) | 3.29300 | − | 6.98437i | 0.123584 | − | 0.262119i | ||||
\(711\) | −28.3046 | + | 2.29750i | −1.06150 | + | 0.0861631i | ||||
\(712\) | 33.7686 | − | 16.1219i | 1.26553 | − | 0.604194i | ||||
\(713\) | −14.7640 | − | 19.2408i | −0.552916 | − | 0.720575i | ||||
\(714\) | 34.4158 | + | 7.11011i | 1.28798 | + | 0.266089i | ||||
\(715\) | 11.3439 | + | 0.743519i | 0.424238 | + | 0.0278060i | ||||
\(716\) | −47.9701 | − | 7.80045i | −1.79273 | − | 0.291517i | ||||
\(717\) | −10.6220 | − | 22.9667i | −0.396685 | − | 0.857707i | ||||
\(718\) | 1.81998 | − | 0.791611i | 0.0679209 | − | 0.0295427i | ||||
\(719\) | 16.9222 | − | 16.9222i | 0.631091 | − | 0.631091i | −0.317251 | − | 0.948342i | \(-0.602760\pi\) |
0.948342 | + | 0.317251i | \(0.102760\pi\) | |||||||
\(720\) | 6.04137 | − | 4.21740i | 0.225148 | − | 0.157173i | ||||
\(721\) | 26.3362 | + | 26.3362i | 0.980812 | + | 0.980812i | ||||
\(722\) | 10.6536 | + | 4.19509i | 0.396488 | + | 0.156125i | ||||
\(723\) | −14.4136 | − | 10.1600i | −0.536046 | − | 0.377855i | ||||
\(724\) | −3.06732 | + | 4.95943i | −0.113996 | + | 0.184316i | ||||
\(725\) | 3.20587 | − | 48.9121i | 0.119063 | − | 1.81655i | ||||
\(726\) | 0.216880 | + | 3.73051i | 0.00804917 | + | 0.138452i | ||||
\(727\) | −15.6071 | + | 11.9757i | −0.578834 | + | 0.444155i | −0.856226 | − | 0.516602i | \(-0.827197\pi\) |
0.277392 | + | 0.960757i | \(0.410530\pi\) | |||||||
\(728\) | 12.3929 | + | 48.7228i | 0.459312 | + | 1.80579i | ||||
\(729\) | −13.9376 | + | 23.1245i | −0.516209 | + | 0.856463i | ||||
\(730\) | 1.92336 | − | 0.690822i | 0.0711869 | − | 0.0255685i | ||||
\(731\) | 17.8984 | + | 6.07570i | 0.661997 | + | 0.224718i | ||||
\(732\) | 27.9609 | + | 27.3965i | 1.03347 | + | 1.01260i | ||||
\(733\) | 4.22565 | − | 8.56877i | 0.156078 | − | 0.316495i | −0.804762 | − | 0.593597i | \(-0.797707\pi\) |
0.960840 | + | 0.277102i | \(0.0893740\pi\) | |||||||
\(734\) | 10.8456 | − | 3.11134i | 0.400317 | − | 0.114842i | ||||
\(735\) | −1.68293 | − | 0.746814i | −0.0620756 | − | 0.0275467i | ||||
\(736\) | 3.42711 | + | 15.4144i | 0.126325 | + | 0.568181i | ||||
\(737\) | 33.9054i | 1.24892i | ||||||||
\(738\) | −8.15657 | − | 0.263808i | −0.300247 | − | 0.00971090i | ||||
\(739\) | −20.9675 | − | 31.3801i | −0.771302 | − | 1.15434i | −0.984165 | − | 0.177253i | \(-0.943279\pi\) |
0.212863 | − | 0.977082i | \(-0.431721\pi\) | |||||||
\(740\) | −2.82866 | + | 3.96767i | −0.103984 | + | 0.145855i | ||||
\(741\) | 23.3224 | − | 25.2922i | 0.856770 | − | 0.929132i | ||||
\(742\) | 5.01630 | − | 5.92695i | 0.184154 | − | 0.217585i | ||||
\(743\) | 0.989210 | + | 0.759048i | 0.0362906 | + | 0.0278468i | 0.626747 | − | 0.779222i | \(-0.284386\pi\) |
−0.590457 | + | 0.807069i | \(0.701052\pi\) | |||||||
\(744\) | 12.5571 | − | 40.6688i | 0.460365 | − | 1.49099i | ||||
\(745\) | −3.81187 | + | 2.92495i | −0.139656 | + | 0.107162i | ||||
\(746\) | −40.6068 | − | 1.94554i | −1.48672 | − | 0.0712312i | ||||
\(747\) | 14.3560 | − | 11.3746i | 0.525260 | − | 0.416175i | ||||
\(748\) | −8.60722 | + | 28.6239i | −0.314711 | + | 1.04659i | ||||
\(749\) | 12.4440 | + | 10.9131i | 0.454694 | + | 0.398756i | ||||
\(750\) | −3.84881 | + | 13.9514i | −0.140539 | + | 0.509432i | ||||
\(751\) | −8.00590 | + | 29.8784i | −0.292139 | + | 1.09028i | 0.651323 | + | 0.758800i | \(0.274214\pi\) |
−0.943463 | + | 0.331478i | \(0.892453\pi\) | |||||||
\(752\) | −17.8934 | + | 6.17094i | −0.652507 | + | 0.225031i | ||||
\(753\) | 31.1345 | − | 38.5445i | 1.13460 | − | 1.40464i | ||||
\(754\) | 35.9763 | + | 82.7124i | 1.31018 | + | 3.01221i | ||||
\(755\) | 10.8494 | + | 2.15808i | 0.394851 | + | 0.0785407i | ||||
\(756\) | 12.4777 | + | 28.0587i | 0.453811 | + | 1.02048i | ||||
\(757\) | −28.1214 | + | 42.0867i | −1.02209 | + | 1.52967i | −0.184897 | + | 0.982758i | \(0.559195\pi\) |
−0.837193 | + | 0.546908i | \(0.815805\pi\) | |||||||
\(758\) | −9.39269 | + | 2.04055i | −0.341158 | + | 0.0741160i | ||||
\(759\) | −4.20925 | + | 14.2745i | −0.152786 | + | 0.518130i | ||||
\(760\) | −4.80815 | + | 3.12494i | −0.174410 | + | 0.113354i | ||||
\(761\) | 4.66984 | − | 6.08585i | 0.169282 | − | 0.220612i | −0.701007 | − | 0.713155i | \(-0.747266\pi\) |
0.870288 | + | 0.492543i | \(0.163932\pi\) | |||||||
\(762\) | 16.8743 | − | 14.5795i | 0.611291 | − | 0.528160i | ||||
\(763\) | −11.6889 | + | 34.4344i | −0.423167 | + | 1.24661i | ||||
\(764\) | 1.33908 | − | 2.51993i | 0.0484463 | − | 0.0911677i | ||||
\(765\) | −8.67347 | − | 2.18014i | −0.313590 | − | 0.0788233i | ||||
\(766\) | −0.308262 | − | 0.512893i | −0.0111380 | − | 0.0185316i | ||||
\(767\) | 21.1871 | − | 36.6971i | 0.765020 | − | 1.32505i | ||||
\(768\) | −18.5880 | + | 20.5544i | −0.670738 | + | 0.741695i | ||||
\(769\) | 4.49179 | + | 7.78001i | 0.161978 | + | 0.280554i | 0.935578 | − | 0.353120i | \(-0.114879\pi\) |
−0.773600 | + | 0.633674i | \(0.781546\pi\) | |||||||
\(770\) | 3.82794 | − | 6.90777i | 0.137949 | − | 0.248939i | ||||
\(771\) | 22.3763 | + | 8.22389i | 0.805864 | + | 0.296176i | ||||
\(772\) | 4.91423 | + | 7.86016i | 0.176867 | + | 0.282893i | ||||
\(773\) | 21.3837 | − | 4.25349i | 0.769120 | − | 0.152987i | 0.205091 | − | 0.978743i | \(-0.434251\pi\) |
0.564028 | + | 0.825755i | \(0.309251\pi\) | |||||||
\(774\) | 4.80067 | + | 15.8033i | 0.172556 | + | 0.568038i | ||||
\(775\) | 15.3708 | + | 37.1083i | 0.552134 | + | 1.33297i | ||||
\(776\) | −22.8027 | − | 11.6081i | −0.818570 | − | 0.416707i | ||||
\(777\) | −13.9978 | − | 14.7145i | −0.502170 | − | 0.527878i | ||||
\(778\) | −10.4370 | + | 32.6187i | −0.374183 | + | 1.16944i | ||||
\(779\) | 6.33804 | + | 0.415417i | 0.227084 | + | 0.0148839i | ||||
\(780\) | −2.62380 | − | 12.5221i | −0.0939473 | − | 0.448363i | ||||
\(781\) | −18.0482 | + | 20.5800i | −0.645815 | + | 0.736411i | ||||
\(782\) | 11.3993 | − | 15.4092i | 0.407637 | − | 0.551030i | ||||
\(783\) | 30.1761 | + | 46.0949i | 1.07841 | + | 1.64730i | ||||
\(784\) | 6.79873 | + | 1.31811i | 0.242812 | + | 0.0470754i | ||||
\(785\) | −2.43658 | + | 0.652880i | −0.0869653 | + | 0.0233023i | ||||
\(786\) | 46.8961 | − | 12.1956i | 1.67273 | − | 0.435004i | ||||
\(787\) | 44.3014 | − | 15.0383i | 1.57917 | − | 0.536057i | 0.612150 | − | 0.790742i | \(-0.290305\pi\) |
0.967024 | + | 0.254684i | \(0.0819715\pi\) | |||||||
\(788\) | 23.1333 | − | 5.45309i | 0.824088 | − | 0.194258i | ||||
\(789\) | 11.2630 | − | 7.12573i | 0.400972 | − | 0.253683i | ||||
\(790\) | 4.44558 | − | 6.91327i | 0.158167 | − | 0.245963i | ||||
\(791\) | −12.9432 | − | 5.36123i | −0.460206 | − | 0.190624i | ||||
\(792\) | −24.7084 | + | 8.46508i | −0.877973 | + | 0.300794i | ||||
\(793\) | 62.8012 | − | 26.0131i | 2.23014 | − | 0.923752i | ||||
\(794\) | 33.8433 | + | 6.11561i | 1.20105 | + | 0.217035i | ||||
\(795\) | −1.33955 | + | 1.45268i | −0.0475088 | + | 0.0515214i | ||||
\(796\) | 5.94127 | + | 13.0285i | 0.210583 | + | 0.461784i | ||||
\(797\) | −15.2535 | + | 30.9310i | −0.540307 | + | 1.09563i | 0.439972 | + | 0.898012i | \(0.354989\pi\) |
−0.980278 | + | 0.197622i | \(0.936678\pi\) | |||||||
\(798\) | −8.98308 | − | 22.1479i | −0.317998 | − | 0.784027i | ||||
\(799\) | 19.8969 | + | 11.4875i | 0.703902 | + | 0.406398i | ||||
\(800\) | 1.12485 | − | 26.1276i | 0.0397694 | − | 0.923749i | ||||
\(801\) | −8.34715 | − | 38.8019i | −0.294932 | − | 1.37100i | ||||
\(802\) | −7.64747 | + | 30.6882i | −0.270042 | + | 1.08364i | ||||
\(803\) | −7.22909 | + | 0.473820i | −0.255109 | + | 0.0167207i | ||||
\(804\) | 36.7549 | − | 10.2512i | 1.29625 | − | 0.361533i | ||||
\(805\) | −3.80759 | + | 3.33917i | −0.134200 | + | 0.117690i | ||||
\(806\) | −56.4164 | − | 47.7483i | −1.98718 | − | 1.68186i | ||||
\(807\) | −20.7308 | + | 11.2889i | −0.729759 | + | 0.397387i | ||||
\(808\) | −46.6967 | − | 13.1515i | −1.64279 | − | 0.462667i | ||||
\(809\) | 38.2465 | + | 15.8422i | 1.34468 | + | 0.556983i | 0.934805 | − | 0.355160i | \(-0.115574\pi\) |
0.409871 | + | 0.912144i | \(0.365574\pi\) | |||||||
\(810\) | −2.86895 | − | 7.26907i | −0.100804 | − | 0.255409i | ||||
\(811\) | 14.3064 | + | 9.55925i | 0.502367 | + | 0.335671i | 0.780796 | − | 0.624786i | \(-0.214814\pi\) |
−0.278429 | + | 0.960457i | \(0.589814\pi\) | |||||||
\(812\) | 62.6314 | + | 1.89833i | 2.19793 | + | 0.0666182i | ||||
\(813\) | −1.22543 | + | 13.5182i | −0.0429778 | + | 0.474105i | ||||
\(814\) | 13.5170 | − | 10.7546i | 0.473772 | − | 0.376949i | ||||
\(815\) | −2.57505 | + | 9.61021i | −0.0902000 | + | 0.336631i | ||||
\(816\) | 33.6319 | + | 0.676223i | 1.17735 | + | 0.0236725i | ||||
\(817\) | −3.32708 | − | 12.4168i | −0.116400 | − | 0.434409i | ||||
\(818\) | 33.8377 | + | 25.0322i | 1.18311 | + | 0.875231i | ||||
\(819\) | 53.3174 | − | 0.828795i | 1.86306 | − | 0.0289604i | ||||
\(820\) | 1.49402 | − | 1.82950i | 0.0521736 | − | 0.0638889i | ||||
\(821\) | −8.99396 | − | 18.2379i | −0.313891 | − | 0.636509i | 0.681562 | − | 0.731760i | \(-0.261301\pi\) |
−0.995453 | + | 0.0952518i | \(0.969634\pi\) | |||||||
\(822\) | −9.49825 | − | 1.96228i | −0.331289 | − | 0.0684425i | ||||
\(823\) | −12.3636 | + | 1.62770i | −0.430969 | + | 0.0567381i | −0.342890 | − | 0.939375i | \(-0.611406\pi\) |
−0.0880783 | + | 0.996114i | \(0.528073\pi\) | |||||||
\(824\) | 29.3884 | + | 20.1823i | 1.02379 | + | 0.703084i | ||||
\(825\) | 12.8522 | − | 21.0308i | 0.447457 | − | 0.732198i | ||||
\(826\) | −16.7820 | − | 24.1849i | −0.583922 | − | 0.841501i | ||||
\(827\) | 25.5352 | − | 5.07927i | 0.887946 | − | 0.176623i | 0.270015 | − | 0.962856i | \(-0.412971\pi\) |
0.617930 | + | 0.786233i | \(0.287971\pi\) | |||||||
\(828\) | 16.7468 | + | 0.247149i | 0.581991 | + | 0.00858902i | ||||
\(829\) | 14.0689 | − | 9.40055i | 0.488633 | − | 0.326494i | −0.286728 | − | 0.958012i | \(-0.592568\pi\) |
0.775362 | + | 0.631518i | \(0.217568\pi\) | |||||||
\(830\) | 0.0931645 | + | 5.30048i | 0.00323379 | + | 0.183982i | ||||
\(831\) | 16.1101 | − | 36.3037i | 0.558854 | − | 1.25936i | ||||
\(832\) | 20.1789 | + | 43.6876i | 0.699577 | + | 1.51459i | ||||
\(833\) | −4.20309 | − | 7.27996i | −0.145628 | − | 0.252236i | ||||
\(834\) | −24.2289 | + | 18.3090i | −0.838978 | + | 0.633991i | ||||
\(835\) | 0.231725 | + | 3.53545i | 0.00801919 | + | 0.122349i | ||||
\(836\) | 19.4383 | − | 5.94806i | 0.672288 | − | 0.205718i | ||||
\(837\) | −38.8827 | − | 22.9395i | −1.34398 | − | 0.792905i | ||||
\(838\) | −15.7333 | + | 33.3699i | −0.543497 | + | 1.15274i | ||||
\(839\) | −21.1858 | − | 2.78917i | −0.731416 | − | 0.0962927i | −0.244386 | − | 0.969678i | \(-0.578586\pi\) |
−0.487030 | + | 0.873385i | \(0.661920\pi\) | |||||||
\(840\) | −8.64569 | − | 2.06110i | −0.298305 | − | 0.0711148i | ||||
\(841\) | 82.7061 | − | 10.8885i | 2.85193 | − | 0.375464i | ||||
\(842\) | −25.6742 | − | 8.21494i | −0.884792 | − | 0.283106i | ||||
\(843\) | −25.7311 | − | 40.6707i | −0.886226 | − | 1.40077i | ||||
\(844\) | 32.9236 | − | 12.4828i | 1.13328 | − | 0.429675i | ||||
\(845\) | −13.9612 | − | 2.77706i | −0.480281 | − | 0.0955338i | ||||
\(846\) | 1.97563 | + | 19.9784i | 0.0679235 | + | 0.686870i | ||||
\(847\) | 3.18751 | − | 3.18751i | 0.109524 | − | 0.109524i | ||||
\(848\) | 3.68499 | − | 6.45468i | 0.126543 | − | 0.221654i | ||||
\(849\) | −5.34077 | + | 33.9901i | −0.183295 | + | 1.16654i | ||||
\(850\) | −24.8406 | + | 19.7640i | −0.852025 | + | 0.677900i | ||||
\(851\) | −10.4890 | + | 3.56053i | −0.359557 | + | 0.122053i | ||||
\(852\) | 27.7665 | + | 13.3427i | 0.951263 | + | 0.457113i | ||||
\(853\) | −36.3854 | + | 17.9433i | −1.24581 | + | 0.614366i | −0.941116 | − | 0.338084i | \(-0.890221\pi\) |
−0.304695 | + | 0.952450i | \(0.598555\pi\) | |||||||
\(854\) | 2.25991 | − | 47.1683i | 0.0773326 | − | 1.61407i | ||||
\(855\) | 2.04436 | + | 5.72841i | 0.0699158 | + | 0.195907i | ||||
\(856\) | 13.6186 | + | 8.09550i | 0.465474 | + | 0.276698i | ||||
\(857\) | 0.610289 | − | 4.63561i | 0.0208471 | − | 0.158349i | −0.977855 | − | 0.209284i | \(-0.932887\pi\) |
0.998702 | + | 0.0509347i | \(0.0162200\pi\) | |||||||
\(858\) | −3.30011 | + | 45.2334i | −0.112664 | + | 1.54424i | ||||
\(859\) | −33.0143 | + | 28.9527i | −1.12643 | + | 0.987854i | −0.999992 | − | 0.00411971i | \(-0.998689\pi\) |
−0.126441 | + | 0.991974i | \(0.540355\pi\) | |||||||
\(860\) | −4.47809 | − | 1.67305i | −0.152702 | − | 0.0570505i | ||||
\(861\) | 6.30432 | + | 7.56123i | 0.214850 | + | 0.257686i | ||||
\(862\) | −8.11939 | − | 7.83890i | −0.276547 | − | 0.266994i | ||||
\(863\) | 53.1522i | 1.80932i | 0.426132 | + | 0.904661i | \(0.359876\pi\) | ||||
−0.426132 | + | 0.904661i | \(0.640124\pi\) | |||||||
\(864\) | 16.6470 | + | 24.2255i | 0.566344 | + | 0.824169i | ||||
\(865\) | 0.388198i | 0.0131991i | ||||||||
\(866\) | 0.557035 | − | 0.576967i | 0.0189288 | − | 0.0196061i | ||||
\(867\) | −7.29191 | − | 8.74573i | −0.247646 | − | 0.297021i | ||||
\(868\) | −46.7170 | + | 21.3039i | −1.58568 | + | 0.723100i | ||||
\(869\) | −21.9060 | + | 19.2111i | −0.743111 | + | 0.651691i | ||||
\(870\) | −15.9038 | − | 1.16030i | −0.539190 | − | 0.0393378i | ||||
\(871\) | 8.64866 | − | 65.6931i | 0.293049 | − | 2.22593i | ||||
\(872\) | −4.98214 | + | 34.4497i | −0.168717 | + | 1.16661i | ||||
\(873\) | −17.5750 | + | 20.6802i | −0.594824 | + | 0.699919i | ||||
\(874\) | −13.0206 | − | 0.623840i | −0.440430 | − | 0.0211017i | ||||
\(875\) | 15.6581 | − | 7.72173i | 0.529341 | − | 0.261042i | ||||
\(876\) | 2.69934 | + | 7.69339i | 0.0912024 | + | 0.259936i | ||||
\(877\) | 3.55857 | − | 1.20797i | 0.120165 | − | 0.0407904i | −0.260710 | − | 0.965417i | \(-0.583956\pi\) |
0.380874 | + | 0.924627i | \(0.375623\pi\) | |||||||
\(878\) | 9.29632 | + | 11.6842i | 0.313736 | + | 0.394322i | ||||
\(879\) | −5.02600 | + | 31.9868i | −0.169523 | + | 1.07889i | ||||
\(880\) | 2.39519 | − | 7.17003i | 0.0807417 | − | 0.241702i | ||||
\(881\) | 16.1098 | − | 16.1098i | 0.542754 | − | 0.542754i | −0.381582 | − | 0.924335i | \(-0.624620\pi\) |
0.924335 | + | 0.381582i | \(0.124620\pi\) | |||||||
\(882\) | 3.02887 | − | 6.69187i | 0.101988 | − | 0.225327i | ||||
\(883\) | 0.596033 | + | 0.118558i | 0.0200581 | + | 0.00398980i | 0.205109 | − | 0.978739i | \(-0.434245\pi\) |
−0.185051 | + | 0.982729i | \(0.559245\pi\) | |||||||
\(884\) | 23.9783 | − | 53.2644i | 0.806477 | − | 1.79148i | ||||
\(885\) | 4.00525 | + | 6.33071i | 0.134635 | + | 0.212805i | ||||
\(886\) | 0.398619 | − | 1.24581i | 0.0133919 | − | 0.0418537i | ||||
\(887\) | −7.27890 | + | 0.958285i | −0.244401 | + | 0.0321761i | −0.251732 | − | 0.967797i | \(-0.581000\pi\) |
0.00733021 | + | 0.999973i | \(0.497667\pi\) | |||||||
\(888\) | −15.7453 | − | 11.4014i | −0.528379 | − | 0.382607i | ||||
\(889\) | −26.6713 | − | 3.51134i | −0.894527 | − | 0.117767i | ||||
\(890\) | 10.3906 | + | 4.89897i | 0.348293 | + | 0.164214i | ||||
\(891\) | 2.67015 | + | 27.5736i | 0.0894535 | + | 0.923749i | ||||
\(892\) | −1.17636 | − | 0.625117i | −0.0393876 | − | 0.0209305i | ||||
\(893\) | −1.02193 | − | 15.5917i | −0.0341977 | − | 0.521756i | ||||
\(894\) | −11.5566 | − | 15.2931i | −0.386509 | − | 0.511479i | ||||
\(895\) | −7.45993 | − | 12.9210i | −0.249358 | − | 0.431901i | ||||
\(896\) | 33.4296 | + | 0.263298i | 1.11681 | + | 0.00879618i | ||||
\(897\) | 11.7968 | − | 26.5837i | 0.393882 | − | 0.887603i | ||||
\(898\) | 0.703627 | − | 0.0123674i | 0.0234804 | − | 0.000412705i | ||||
\(899\) | −76.5944 | + | 51.1788i | −2.55457 | + | 1.70691i | ||||
\(900\) | −26.6841 | − | 7.57375i | −0.889471 | − | 0.252458i | ||||
\(901\) | −8.84845 | + | 1.76007i | −0.294784 | + | 0.0586363i | ||||
\(902\) | −6.87921 | + | 4.77352i | −0.229053 | + | 0.158941i | ||||
\(903\) | 10.3895 | − | 17.0009i | 0.345741 | − | 0.565754i | ||||
\(904\) | −13.1180 | − | 2.78332i | −0.436298 | − | 0.0925719i | ||||
\(905\) | −1.77486 | + | 0.233665i | −0.0589983 | + | 0.00776727i | ||||
\(906\) | −8.92881 | + | 43.2191i | −0.296640 | + | 1.43586i | ||||
\(907\) | 0.771977 | + | 1.56541i | 0.0256331 | + | 0.0519787i | 0.909313 | − | 0.416114i | \(-0.136608\pi\) |
−0.883680 | + | 0.468092i | \(0.844941\pi\) | |||||||
\(908\) | −20.9017 | + | 2.10983i | −0.693649 | + | 0.0700170i | ||||
\(909\) | −25.0324 | + | 44.9569i | −0.830271 | + | 1.49112i | ||||
\(910\) | −9.17885 | + | 12.4077i | −0.304276 | + | 0.411310i | ||||
\(911\) | 9.72091 | + | 36.2789i | 0.322068 | + | 1.20198i | 0.917226 | + | 0.398367i | \(0.130423\pi\) |
−0.595158 | + | 0.803609i | \(0.702911\pi\) | |||||||
\(912\) | −12.3251 | − | 19.2736i | −0.408125 | − | 0.638212i | ||||
\(913\) | 4.86389 | − | 18.1523i | 0.160971 | − | 0.600753i | ||||
\(914\) | 5.60601 | + | 7.04596i | 0.185430 | + | 0.233060i | ||||
\(915\) | −1.08493 | + | 11.9683i | −0.0358667 | + | 0.395661i | ||||
\(916\) | −29.1781 | + | 27.4614i | −0.964073 | + | 0.907351i | ||||
\(917\) | −48.6024 | − | 32.4751i | −1.60499 | − | 1.07242i | ||||
\(918\) | 8.95277 | − | 34.5377i | 0.295485 | − | 1.13991i | ||||
\(919\) | 13.1096 | + | 5.43016i | 0.432444 | + | 0.179124i | 0.588278 | − | 0.808659i | \(-0.299806\pi\) |
−0.155833 | + | 0.987783i | \(0.549806\pi\) | |||||||
\(920\) | −2.99975 | + | 3.80802i | −0.0988989 | + | 0.125547i | ||||
\(921\) | −20.2536 | + | 11.0290i | −0.667379 | + | 0.363418i | ||||
\(922\) | 2.26938 | − | 2.68136i | 0.0747379 | − | 0.0883058i | ||||
\(923\) | 40.2187 | − | 35.2709i | 1.32382 | − | 1.16095i | ||||
\(924\) | 27.4451 | + | 15.4745i | 0.902878 | + | 0.509074i | ||||
\(925\) | 18.3055 | − | 1.19981i | 0.601883 | − | 0.0394495i | ||||
\(926\) | 18.6100 | + | 4.63759i | 0.611563 | + | 0.152401i | ||||
\(927\) | 28.0389 | − | 25.3712i | 0.920918 | − | 0.833299i | ||||
\(928\) | 59.2750 | − | 9.16016i | 1.94580 | − | 0.300697i | ||||
\(929\) | 48.1261 | + | 27.7856i | 1.57897 | + | 0.911616i | 0.995004 | + | 0.0998356i | \(0.0318317\pi\) |
0.583962 | + | 0.811781i | \(0.301502\pi\) | |||||||
\(930\) | 12.1085 | − | 4.91116i | 0.397054 | − | 0.161043i | ||||
\(931\) | −2.52856 | + | 5.12742i | −0.0828703 | + | 0.168044i | ||||
\(932\) | −5.72015 | − | 2.13709i | −0.187370 | − | 0.0700028i | ||||
\(933\) | −13.7775 | + | 14.9411i | −0.451055 | + | 0.489151i | ||||
\(934\) | −0.183346 | + | 1.01462i | −0.00599926 | + | 0.0331994i | ||||
\(935\) | −8.47750 | + | 3.51150i | −0.277244 | + | 0.114838i | ||||
\(936\) | 50.0328 | − | 10.0988i | 1.63537 | − | 0.330089i | ||||
\(937\) | −50.1620 | − | 20.7778i | −1.63872 | − | 0.678780i | −0.642552 | − | 0.766242i | \(-0.722124\pi\) |
−0.996168 | + | 0.0874620i | \(0.972124\pi\) | |||||||
\(938\) | −38.7166 | − | 24.8967i | −1.26414 | − | 0.812906i | ||||
\(939\) | 4.12462 | − | 2.60952i | 0.134602 | − | 0.0851585i | ||||
\(940\) | −4.94183 | − | 3.05644i | −0.161185 | − | 0.0996900i | ||||
\(941\) | 23.6637 | − | 8.03273i | 0.771413 | − | 0.261860i | 0.0921412 | − | 0.995746i | \(-0.470629\pi\) |
0.679272 | + | 0.733886i | \(0.262296\pi\) | |||||||
\(942\) | −2.53287 | − | 9.73969i | −0.0825254 | − | 0.317336i | ||||
\(943\) | 5.18644 | − | 1.38970i | 0.168894 | − | 0.0452550i | ||||
\(944\) | −20.0208 | − | 19.8276i | −0.651622 | − | 0.645333i | ||||
\(945\) | −4.24888 | + | 8.41532i | −0.138216 | + | 0.273750i | ||||
\(946\) | 13.6235 | + | 10.0783i | 0.442938 | + | 0.327674i | ||||
\(947\) | 30.8542 | − | 35.1825i | 1.00263 | − | 1.14328i | 0.0129569 | − | 0.999916i | \(-0.495876\pi\) |
0.989670 | − | 0.143361i | \(-0.0457911\pi\) | |||||||
\(948\) | 27.4489 | + | 17.9387i | 0.891498 | + | 0.582620i | ||||
\(949\) | 14.1275 | + | 0.925968i | 0.458599 | + | 0.0300582i | ||||
\(950\) | 20.5619 | + | 6.57916i | 0.667116 | + | 0.213456i | ||||
\(951\) | −6.70491 | − | 7.04816i | −0.217421 | − | 0.228552i | ||||
\(952\) | −26.3653 | − | 30.8471i | −0.854505 | − | 0.999759i | ||||
\(953\) | 18.6818 | + | 45.1019i | 0.605163 | + | 1.46099i | 0.868203 | + | 0.496209i | \(0.165275\pi\) |
−0.263040 | + | 0.964785i | \(0.584725\pi\) | |||||||
\(954\) | −5.75589 | − | 5.38674i | −0.186354 | − | 0.174402i | ||||
\(955\) | 0.859207 | − | 0.170907i | 0.0278033 | − | 0.00553042i | ||||
\(956\) | −6.56584 | + | 28.4713i | −0.212354 | + | 0.920829i | ||||
\(957\) | 53.0575 | + | 19.5000i | 1.71510 | + | 0.630346i | ||||
\(958\) | −4.75082 | − | 2.63267i | −0.153492 | − | 0.0850577i | ||||
\(959\) | 5.84997 | + | 10.1324i | 0.188905 | + | 0.327194i | ||||
\(960\) | −8.49681 | − | 0.428637i | −0.274233 | − | 0.0138342i | ||||
\(961\) | 22.2424 | − | 38.5249i | 0.717496 | − | 1.24274i | ||||
\(962\) | −28.9332 | + | 17.3896i | −0.932843 | + | 0.560663i | ||||
\(963\) | 11.6962 | − | 12.0656i | 0.376905 | − | 0.388807i | ||||
\(964\) | 5.95818 | + | 19.4714i | 0.191900 | + | 0.627131i | ||||
\(965\) | −0.914752 | + | 2.69477i | −0.0294469 | + | 0.0867477i | ||||
\(966\) | −13.2092 | − | 15.2883i | −0.424998 | − | 0.491892i | ||||
\(967\) | 23.4309 | − | 30.5357i | 0.753487 | − | 0.981963i | −0.246431 | − | 0.969160i | \(-0.579258\pi\) |
0.999918 | − | 0.0128030i | \(-0.00407542\pi\) | |||||||
\(968\) | 2.44269 | − | 3.55691i | 0.0785110 | − | 0.114324i | ||||
\(969\) | −7.85427 | + | 26.6355i | −0.252316 | + | 0.855656i | ||||
\(970\) | −1.66761 | − | 7.67606i | −0.0535438 | − | 0.246463i | ||||
\(971\) | −2.36207 | + | 3.53509i | −0.0758026 | + | 0.113447i | −0.867434 | − | 0.497553i | \(-0.834232\pi\) |
0.791631 | + | 0.610999i | \(0.209232\pi\) | |||||||
\(972\) | 29.0836 | − | 11.2314i | 0.932857 | − | 0.360247i | ||||
\(973\) | 35.9307 | + | 7.14706i | 1.15188 | + | 0.229124i | ||||
\(974\) | 22.4190 | − | 9.75128i | 0.718350 | − | 0.312451i | ||||
\(975\) | −30.2663 | + | 37.4697i | −0.969298 | + | 1.19999i | ||||
\(976\) | −6.11723 | − | 44.7857i | −0.195808 | − | 1.43355i | ||||
\(977\) | 5.22679 | − | 19.5067i | 0.167220 | − | 0.624073i | −0.830527 | − | 0.556979i | \(-0.811960\pi\) |
0.997747 | − | 0.0670945i | \(-0.0213729\pi\) | |||||||
\(978\) | −38.2631 | − | 10.5558i | −1.22352 | − | 0.337536i | ||||
\(979\) | −30.6167 | − | 26.8501i | −0.978513 | − | 0.858133i | ||||
\(980\) | 1.00674 | + | 1.87255i | 0.0321592 | + | 0.0598163i | ||||
\(981\) | 34.3247 | + | 13.5966i | 1.09590 | + | 0.434107i | ||||
\(982\) | 1.81867 | − | 37.9589i | 0.0580362 | − | 1.21132i | ||||
\(983\) | 11.6511 | − | 8.94018i | 0.371612 | − | 0.285148i | −0.406025 | − | 0.913862i | \(-0.633085\pi\) |
0.777636 | + | 0.628715i | \(0.216419\pi\) | |||||||
\(984\) | 7.25462 | + | 6.01410i | 0.231269 | + | 0.191723i | ||||
\(985\) | 5.78860 | + | 4.44175i | 0.184440 | + | 0.141526i | ||||
\(986\) | −55.5720 | − | 47.0336i | −1.76977 | − | 1.49785i | ||||
\(987\) | 16.4173 | − | 17.8039i | 0.522570 | − | 0.566706i | ||||
\(988\) | −39.1798 | + | 6.56624i | −1.24648 | + | 0.208900i | ||||
\(989\) | −6.03734 | − | 9.03551i | −0.191976 | − | 0.287313i | ||||
\(990\) | −6.81063 | − | 4.23141i | −0.216456 | − | 0.134483i | ||||
\(991\) | 15.1471i | 0.481164i | 0.970629 | + | 0.240582i | \(0.0773383\pi\) | ||||
−0.970629 | + | 0.240582i | \(0.922662\pi\) | |||||||
\(992\) | −40.2424 | + | 28.2145i | −1.27770 | + | 0.895811i | ||||
\(993\) | −41.8285 | − | 18.5618i | −1.32739 | − | 0.589041i | ||||
\(994\) | −10.2476 | − | 35.7211i | −0.325033 | − | 1.13300i | ||||
\(995\) | −1.94426 | + | 3.94256i | −0.0616371 | + | 0.124988i | ||||
\(996\) | −21.1484 | + | 0.215644i | −0.670114 | + | 0.00683295i | ||||
\(997\) | 34.4954 | + | 11.7096i | 1.09248 | + | 0.370848i | 0.808808 | − | 0.588073i | \(-0.200113\pi\) |
0.283674 | + | 0.958921i | \(0.408447\pi\) | |||||||
\(998\) | 8.94686 | + | 24.9095i | 0.283208 | + | 0.788498i | ||||
\(999\) | −15.6295 | + | 13.4486i | −0.494495 | + | 0.425496i |
(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 | 576.2.bm.a.205.94 | yes | 1504 | |
9.4 | even | 3 | inner | 576.2.bm.a.13.33 | ✓ | 1504 | |
64.5 | even | 16 | inner | 576.2.bm.a.133.33 | yes | 1504 | |
576.517 | even | 48 | inner | 576.2.bm.a.517.94 | yes | 1504 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
576.2.bm.a.13.33 | ✓ | 1504 | 9.4 | even | 3 | inner | |
576.2.bm.a.133.33 | yes | 1504 | 64.5 | even | 16 | inner | |
576.2.bm.a.205.94 | yes | 1504 | 1.1 | even | 1 | trivial | |
576.2.bm.a.517.94 | yes | 1504 | 576.517 | even | 48 | inner |