Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(118,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.118");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.h (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.21797120146\) |
Analytic rank: | \(0\) |
Dimension: | \(34\) |
Relative dimension: | \(17\) over \(\Q(\zeta_{3})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 222.8 | ||
Character | \(\chi\) | \(=\) | 403.222 |
Dual form | 403.2.h.b.118.8 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.291491 | −0.206115 | −0.103058 | − | 0.994675i | \(-0.532863\pi\) | ||||
−0.103058 | + | 0.994675i | \(0.532863\pi\) | |||||||
\(3\) | −0.965220 | + | 1.67181i | −0.557270 | + | 0.965220i | 0.440453 | + | 0.897776i | \(0.354818\pi\) |
−0.997723 | + | 0.0674442i | \(0.978516\pi\) | |||||||
\(4\) | −1.91503 | −0.957517 | ||||||||
\(5\) | −0.817652 | − | 1.41622i | −0.365665 | − | 0.633351i | 0.623217 | − | 0.782049i | \(-0.285825\pi\) |
−0.988883 | + | 0.148698i | \(0.952492\pi\) | |||||||
\(6\) | 0.281353 | − | 0.487317i | 0.114862 | − | 0.198946i | ||||
\(7\) | −0.566002 | + | 0.980344i | −0.213929 | + | 0.370535i | −0.952941 | − | 0.303157i | \(-0.901959\pi\) |
0.739012 | + | 0.673692i | \(0.235293\pi\) | |||||||
\(8\) | 1.14120 | 0.403474 | ||||||||
\(9\) | −0.363299 | − | 0.629252i | −0.121100 | − | 0.209751i | ||||
\(10\) | 0.238338 | + | 0.412814i | 0.0753691 | + | 0.130543i | ||||
\(11\) | −1.40676 | − | 2.43657i | −0.424153 | − | 0.734654i | 0.572188 | − | 0.820122i | \(-0.306095\pi\) |
−0.996341 | + | 0.0854682i | \(0.972761\pi\) | |||||||
\(12\) | 1.84843 | − | 3.20157i | 0.533595 | − | 0.924214i | ||||
\(13\) | −0.500000 | − | 0.866025i | −0.138675 | − | 0.240192i | ||||
\(14\) | 0.164984 | − | 0.285761i | 0.0440939 | − | 0.0763729i | ||||
\(15\) | 3.15686 | 0.815097 | ||||||||
\(16\) | 3.49742 | 0.874354 | ||||||||
\(17\) | −0.697052 | + | 1.20733i | −0.169060 | + | 0.292820i | −0.938090 | − | 0.346393i | \(-0.887406\pi\) |
0.769030 | + | 0.639213i | \(0.220740\pi\) | |||||||
\(18\) | 0.105898 | + | 0.183421i | 0.0249605 | + | 0.0432328i | ||||
\(19\) | 4.07645 | − | 7.06061i | 0.935201 | − | 1.61982i | 0.160925 | − | 0.986967i | \(-0.448552\pi\) |
0.774276 | − | 0.632849i | \(-0.218114\pi\) | |||||||
\(20\) | 1.56583 | + | 2.71210i | 0.350131 | + | 0.606444i | ||||
\(21\) | −1.09263 | − | 1.89249i | −0.238432 | − | 0.412976i | ||||
\(22\) | 0.410056 | + | 0.710238i | 0.0874243 | + | 0.151423i | ||||
\(23\) | 1.36940 | 0.285539 | 0.142769 | − | 0.989756i | \(-0.454399\pi\) | ||||
0.142769 | + | 0.989756i | \(0.454399\pi\) | |||||||
\(24\) | −1.10151 | + | 1.90786i | −0.224844 | + | 0.389441i | ||||
\(25\) | 1.16289 | − | 2.01418i | 0.232578 | − | 0.402837i | ||||
\(26\) | 0.145745 | + | 0.252438i | 0.0285830 | + | 0.0495073i | ||||
\(27\) | −4.38867 | −0.844599 | ||||||||
\(28\) | 1.08391 | − | 1.87739i | 0.204840 | − | 0.354794i | ||||
\(29\) | 8.21183 | 1.52490 | 0.762449 | − | 0.647048i | \(-0.223997\pi\) | ||||
0.762449 | + | 0.647048i | \(0.223997\pi\) | |||||||
\(30\) | −0.920195 | −0.168004 | ||||||||
\(31\) | −0.187632 | − | 5.56460i | −0.0336997 | − | 0.999432i | ||||
\(32\) | −3.30186 | −0.583691 | ||||||||
\(33\) | 5.43131 | 0.945470 | ||||||||
\(34\) | 0.203184 | − | 0.351925i | 0.0348458 | − | 0.0603547i | ||||
\(35\) | 1.85117 | 0.312905 | ||||||||
\(36\) | 0.695729 | + | 1.20504i | 0.115955 | + | 0.200840i | ||||
\(37\) | 0.953286 | − | 1.65114i | 0.156719 | − | 0.271446i | −0.776964 | − | 0.629544i | \(-0.783242\pi\) |
0.933684 | + | 0.358099i | \(0.116575\pi\) | |||||||
\(38\) | −1.18825 | + | 2.05810i | −0.192759 | + | 0.333868i | ||||
\(39\) | 1.93044 | 0.309118 | ||||||||
\(40\) | −0.933102 | − | 1.61618i | −0.147536 | − | 0.255540i | ||||
\(41\) | 0.861909 | + | 1.49287i | 0.134608 | + | 0.233147i | 0.925447 | − | 0.378876i | \(-0.123689\pi\) |
−0.790840 | + | 0.612023i | \(0.790356\pi\) | |||||||
\(42\) | 0.318492 | + | 0.551645i | 0.0491444 | + | 0.0851207i | ||||
\(43\) | −0.941995 | + | 1.63158i | −0.143653 | + | 0.248814i | −0.928870 | − | 0.370407i | \(-0.879218\pi\) |
0.785217 | + | 0.619221i | \(0.212552\pi\) | |||||||
\(44\) | 2.69398 | + | 4.66612i | 0.406133 | + | 0.703444i | ||||
\(45\) | −0.594104 | + | 1.02902i | −0.0885638 | + | 0.153397i | ||||
\(46\) | −0.399167 | −0.0588539 | ||||||||
\(47\) | −7.80087 | −1.13787 | −0.568937 | − | 0.822381i | \(-0.692645\pi\) | ||||
−0.568937 | + | 0.822381i | \(0.692645\pi\) | |||||||
\(48\) | −3.37578 | + | 5.84702i | −0.487251 | + | 0.843944i | ||||
\(49\) | 2.85928 | + | 4.95242i | 0.408469 | + | 0.707489i | ||||
\(50\) | −0.338972 | + | 0.587116i | −0.0479378 | + | 0.0830307i | ||||
\(51\) | −1.34562 | − | 2.33068i | −0.188424 | − | 0.326360i | ||||
\(52\) | 0.957517 | + | 1.65847i | 0.132784 | + | 0.229988i | ||||
\(53\) | −6.20206 | − | 10.7423i | −0.851918 | − | 1.47557i | −0.879475 | − | 0.475946i | \(-0.842106\pi\) |
0.0275564 | − | 0.999620i | \(-0.491227\pi\) | |||||||
\(54\) | 1.27926 | 0.174085 | ||||||||
\(55\) | −2.30047 | + | 3.98454i | −0.310196 | + | 0.537275i | ||||
\(56\) | −0.645919 | + | 1.11876i | −0.0863146 | + | 0.149501i | ||||
\(57\) | 7.86933 | + | 13.6301i | 1.04232 | + | 1.80535i | ||||
\(58\) | −2.39367 | −0.314305 | ||||||||
\(59\) | −1.48057 | + | 2.56443i | −0.192754 | + | 0.333860i | −0.946162 | − | 0.323693i | \(-0.895075\pi\) |
0.753408 | + | 0.657554i | \(0.228409\pi\) | |||||||
\(60\) | −6.04549 | −0.780469 | ||||||||
\(61\) | 1.73188 | 0.221744 | 0.110872 | − | 0.993835i | \(-0.464636\pi\) | ||||
0.110872 | + | 0.993835i | \(0.464636\pi\) | |||||||
\(62\) | 0.0546929 | + | 1.62203i | 0.00694601 | + | 0.205998i | ||||
\(63\) | 0.822511 | 0.103627 | ||||||||
\(64\) | −6.03237 | −0.754047 | ||||||||
\(65\) | −0.817652 | + | 1.41622i | −0.101417 | + | 0.175660i | ||||
\(66\) | −1.58318 | −0.194876 | ||||||||
\(67\) | −3.58654 | − | 6.21208i | −0.438166 | − | 0.758926i | 0.559382 | − | 0.828910i | \(-0.311038\pi\) |
−0.997548 | + | 0.0699841i | \(0.977705\pi\) | |||||||
\(68\) | 1.33488 | − | 2.31207i | 0.161878 | − | 0.280380i | ||||
\(69\) | −1.32177 | + | 2.28937i | −0.159122 | + | 0.275608i | ||||
\(70\) | −0.539599 | −0.0644945 | ||||||||
\(71\) | −4.99209 | − | 8.64655i | −0.592452 | − | 1.02616i | −0.993901 | − | 0.110275i | \(-0.964827\pi\) |
0.401449 | − | 0.915881i | \(-0.368507\pi\) | |||||||
\(72\) | −0.414595 | − | 0.718100i | −0.0488605 | − | 0.0846289i | ||||
\(73\) | −7.66699 | − | 13.2796i | −0.897353 | − | 1.55426i | −0.830865 | − | 0.556475i | \(-0.812154\pi\) |
−0.0664887 | − | 0.997787i | \(-0.521180\pi\) | |||||||
\(74\) | −0.277874 | + | 0.481292i | −0.0323022 | + | 0.0559491i | ||||
\(75\) | 2.24489 | + | 3.88826i | 0.259217 | + | 0.448978i | ||||
\(76\) | −7.80653 | + | 13.5213i | −0.895470 | + | 1.55100i | ||||
\(77\) | 3.18490 | 0.362954 | ||||||||
\(78\) | −0.562705 | −0.0637138 | ||||||||
\(79\) | −4.12374 | + | 7.14253i | −0.463957 | + | 0.803597i | −0.999154 | − | 0.0411302i | \(-0.986904\pi\) |
0.535197 | + | 0.844727i | \(0.320238\pi\) | |||||||
\(80\) | −2.85967 | − | 4.95310i | −0.319721 | − | 0.553773i | ||||
\(81\) | 5.32592 | − | 9.22477i | 0.591769 | − | 1.02497i | ||||
\(82\) | −0.251239 | − | 0.435158i | −0.0277447 | − | 0.0480551i | ||||
\(83\) | −5.77267 | − | 9.99856i | −0.633633 | − | 1.09748i | −0.986803 | − | 0.161925i | \(-0.948230\pi\) |
0.353170 | − | 0.935559i | \(-0.385104\pi\) | |||||||
\(84\) | 2.09243 | + | 3.62419i | 0.228303 | + | 0.395432i | ||||
\(85\) | 2.27978 | 0.247277 | ||||||||
\(86\) | 0.274583 | − | 0.475591i | 0.0296090 | − | 0.0512843i | ||||
\(87\) | −7.92622 | + | 13.7286i | −0.849780 | + | 1.47186i | ||||
\(88\) | −1.60538 | − | 2.78061i | −0.171135 | − | 0.296414i | ||||
\(89\) | −5.04840 | −0.535129 | −0.267564 | − | 0.963540i | \(-0.586219\pi\) | ||||
−0.267564 | + | 0.963540i | \(0.586219\pi\) | |||||||
\(90\) | 0.173176 | − | 0.299949i | 0.0182543 | − | 0.0316175i | ||||
\(91\) | 1.13200 | 0.118666 | ||||||||
\(92\) | −2.62244 | −0.273408 | ||||||||
\(93\) | 9.48406 | + | 5.05738i | 0.983451 | + | 0.524426i | ||||
\(94\) | 2.27388 | 0.234533 | ||||||||
\(95\) | −13.3325 | −1.36788 | ||||||||
\(96\) | 3.18702 | − | 5.52008i | 0.325274 | − | 0.563391i | ||||
\(97\) | 16.6299 | 1.68851 | 0.844256 | − | 0.535940i | \(-0.180043\pi\) | ||||
0.844256 | + | 0.535940i | \(0.180043\pi\) | |||||||
\(98\) | −0.833455 | − | 1.44359i | −0.0841917 | − | 0.145824i | ||||
\(99\) | −1.02215 | + | 1.77041i | −0.102729 | + | 0.177933i | ||||
\(100\) | −2.22697 | + | 3.85723i | −0.222697 | + | 0.385723i | ||||
\(101\) | 3.81091 | 0.379200 | 0.189600 | − | 0.981861i | \(-0.439281\pi\) | ||||
0.189600 | + | 0.981861i | \(0.439281\pi\) | |||||||
\(102\) | 0.392235 | + | 0.679371i | 0.0388370 | + | 0.0672677i | ||||
\(103\) | 6.39130 | + | 11.0701i | 0.629754 | + | 1.09077i | 0.987601 | + | 0.156985i | \(0.0501776\pi\) |
−0.357847 | + | 0.933780i | \(0.616489\pi\) | |||||||
\(104\) | −0.570598 | − | 0.988305i | −0.0559517 | − | 0.0969113i | ||||
\(105\) | −1.78679 | + | 3.09481i | −0.174373 | + | 0.302022i | ||||
\(106\) | 1.80784 | + | 3.13128i | 0.175593 | + | 0.304136i | ||||
\(107\) | −7.41980 | + | 12.8515i | −0.717299 | + | 1.24240i | 0.244767 | + | 0.969582i | \(0.421288\pi\) |
−0.962066 | + | 0.272816i | \(0.912045\pi\) | |||||||
\(108\) | 8.40444 | 0.808718 | ||||||||
\(109\) | 20.1470 | 1.92974 | 0.964868 | − | 0.262736i | \(-0.0846249\pi\) | ||||
0.964868 | + | 0.262736i | \(0.0846249\pi\) | |||||||
\(110\) | 0.670567 | − | 1.16146i | 0.0639361 | − | 0.110741i | ||||
\(111\) | 1.84026 | + | 3.18743i | 0.174670 | + | 0.302537i | ||||
\(112\) | −1.97954 | + | 3.42867i | −0.187049 | + | 0.323979i | ||||
\(113\) | 0.857716 | + | 1.48561i | 0.0806871 | + | 0.139754i | 0.903545 | − | 0.428493i | \(-0.140955\pi\) |
−0.822858 | + | 0.568247i | \(0.807622\pi\) | |||||||
\(114\) | −2.29384 | − | 3.97304i | −0.214838 | − | 0.372110i | ||||
\(115\) | −1.11969 | − | 1.93936i | −0.104412 | − | 0.180846i | ||||
\(116\) | −15.7259 | −1.46012 | ||||||||
\(117\) | −0.363299 | + | 0.629252i | −0.0335870 | + | 0.0581744i | ||||
\(118\) | 0.431574 | − | 0.747508i | 0.0397296 | − | 0.0688137i | ||||
\(119\) | −0.789065 | − | 1.36670i | −0.0723335 | − | 0.125285i | ||||
\(120\) | 3.60259 | 0.328870 | ||||||||
\(121\) | 1.54208 | − | 2.67096i | 0.140189 | − | 0.242814i | ||||
\(122\) | −0.504827 | −0.0457049 | ||||||||
\(123\) | −3.32773 | −0.300051 | ||||||||
\(124\) | 0.359321 | + | 10.6564i | 0.0322680 | + | 0.956973i | ||||
\(125\) | −11.9799 | −1.07151 | ||||||||
\(126\) | −0.239754 | −0.0213590 | ||||||||
\(127\) | 2.27960 | − | 3.94838i | 0.202282 | − | 0.350362i | −0.746982 | − | 0.664845i | \(-0.768498\pi\) |
0.949263 | + | 0.314483i | \(0.101831\pi\) | |||||||
\(128\) | 8.36210 | 0.739112 | ||||||||
\(129\) | −1.81846 | − | 3.14967i | −0.160107 | − | 0.277313i | ||||
\(130\) | 0.238338 | − | 0.412814i | 0.0209036 | − | 0.0362062i | ||||
\(131\) | 8.92638 | − | 15.4609i | 0.779902 | − | 1.35083i | −0.152096 | − | 0.988366i | \(-0.548602\pi\) |
0.931998 | − | 0.362463i | \(-0.118064\pi\) | |||||||
\(132\) | −10.4011 | −0.905304 | ||||||||
\(133\) | 4.61455 | + | 7.99264i | 0.400132 | + | 0.693050i | ||||
\(134\) | 1.04544 | + | 1.81076i | 0.0903127 | + | 0.156426i | ||||
\(135\) | 3.58840 | + | 6.21530i | 0.308841 | + | 0.534928i | ||||
\(136\) | −0.795473 | + | 1.37780i | −0.0682112 | + | 0.118145i | ||||
\(137\) | 6.63925 | + | 11.4995i | 0.567230 | + | 0.982470i | 0.996838 | + | 0.0794554i | \(0.0253181\pi\) |
−0.429609 | + | 0.903015i | \(0.641349\pi\) | |||||||
\(138\) | 0.385283 | − | 0.667331i | 0.0327975 | − | 0.0568069i | ||||
\(139\) | 8.44477 | 0.716276 | 0.358138 | − | 0.933669i | \(-0.383412\pi\) | ||||
0.358138 | + | 0.933669i | \(0.383412\pi\) | |||||||
\(140\) | −3.54505 | −0.299612 | ||||||||
\(141\) | 7.52955 | − | 13.0416i | 0.634103 | − | 1.09830i | ||||
\(142\) | 1.45515 | + | 2.52039i | 0.122113 | + | 0.211506i | ||||
\(143\) | −1.40676 | + | 2.43657i | −0.117639 | + | 0.203756i | ||||
\(144\) | −1.27061 | − | 2.20076i | −0.105884 | − | 0.183396i | ||||
\(145\) | −6.71442 | − | 11.6297i | −0.557602 | − | 0.965796i | ||||
\(146\) | 2.23486 | + | 3.87089i | 0.184958 | + | 0.320357i | ||||
\(147\) | −11.0394 | −0.910510 | ||||||||
\(148\) | −1.82557 | + | 3.16199i | −0.150061 | + | 0.259914i | ||||
\(149\) | −1.70525 | + | 2.95359i | −0.139700 | + | 0.241967i | −0.927383 | − | 0.374113i | \(-0.877947\pi\) |
0.787683 | + | 0.616081i | \(0.211280\pi\) | |||||||
\(150\) | −0.654364 | − | 1.13339i | −0.0534286 | − | 0.0925411i | ||||
\(151\) | 1.41358 | 0.115035 | 0.0575177 | − | 0.998344i | \(-0.481681\pi\) | ||||
0.0575177 | + | 0.998344i | \(0.481681\pi\) | |||||||
\(152\) | 4.65202 | − | 8.05754i | 0.377329 | − | 0.653553i | ||||
\(153\) | 1.01295 | 0.0818923 | ||||||||
\(154\) | −0.928371 | −0.0748102 | ||||||||
\(155\) | −7.72726 | + | 4.81564i | −0.620668 | + | 0.386801i | ||||
\(156\) | −3.69686 | −0.295985 | ||||||||
\(157\) | −5.16030 | −0.411837 | −0.205919 | − | 0.978569i | \(-0.566018\pi\) | ||||
−0.205919 | + | 0.978569i | \(0.566018\pi\) | |||||||
\(158\) | 1.20203 | − | 2.08198i | 0.0956286 | − | 0.165634i | ||||
\(159\) | 23.9454 | 1.89899 | ||||||||
\(160\) | 2.69977 | + | 4.67614i | 0.213436 | + | 0.369681i | ||||
\(161\) | −0.775081 | + | 1.34248i | −0.0610849 | + | 0.105802i | ||||
\(162\) | −1.55246 | + | 2.68894i | −0.121973 | + | 0.211263i | ||||
\(163\) | 6.88608 | 0.539359 | 0.269680 | − | 0.962950i | \(-0.413082\pi\) | ||||
0.269680 | + | 0.962950i | \(0.413082\pi\) | |||||||
\(164\) | −1.65058 | − | 2.85890i | −0.128889 | − | 0.223242i | ||||
\(165\) | −4.44093 | − | 7.69191i | −0.345726 | − | 0.598814i | ||||
\(166\) | 1.68268 | + | 2.91449i | 0.130601 | + | 0.226208i | ||||
\(167\) | 1.02734 | − | 1.77941i | 0.0794981 | − | 0.137695i | −0.823535 | − | 0.567265i | \(-0.808002\pi\) |
0.903034 | + | 0.429570i | \(0.141335\pi\) | |||||||
\(168\) | −1.24691 | − | 2.15971i | −0.0962010 | − | 0.166625i | ||||
\(169\) | −0.500000 | + | 0.866025i | −0.0384615 | + | 0.0666173i | ||||
\(170\) | −0.664536 | −0.0509676 | ||||||||
\(171\) | −5.92387 | −0.453010 | ||||||||
\(172\) | 1.80395 | − | 3.12454i | 0.137550 | − | 0.238244i | ||||
\(173\) | −2.86601 | − | 4.96407i | −0.217898 | − | 0.377411i | 0.736267 | − | 0.676691i | \(-0.236587\pi\) |
−0.954165 | + | 0.299280i | \(0.903254\pi\) | |||||||
\(174\) | 2.31042 | − | 4.00177i | 0.175153 | − | 0.303373i | ||||
\(175\) | 1.31639 | + | 2.28006i | 0.0995101 | + | 0.172357i | ||||
\(176\) | −4.92001 | − | 8.52171i | −0.370860 | − | 0.642348i | ||||
\(177\) | −2.85816 | − | 4.95048i | −0.214832 | − | 0.372101i | ||||
\(178\) | 1.47156 | 0.110298 | ||||||||
\(179\) | −6.99568 | + | 12.1169i | −0.522881 | + | 0.905657i | 0.476764 | + | 0.879031i | \(0.341810\pi\) |
−0.999645 | + | 0.0266259i | \(0.991524\pi\) | |||||||
\(180\) | 1.13773 | − | 1.97060i | 0.0848013 | − | 0.146880i | ||||
\(181\) | −2.67739 | − | 4.63737i | −0.199009 | − | 0.344693i | 0.749199 | − | 0.662345i | \(-0.230439\pi\) |
−0.948207 | + | 0.317652i | \(0.897105\pi\) | |||||||
\(182\) | −0.329969 | −0.0244589 | ||||||||
\(183\) | −1.67164 | + | 2.89537i | −0.123572 | + | 0.214032i | ||||
\(184\) | 1.56275 | 0.115207 | ||||||||
\(185\) | −3.11783 | −0.229227 | ||||||||
\(186\) | −2.76452 | − | 1.47418i | −0.202704 | − | 0.108092i | ||||
\(187\) | 3.92233 | 0.286829 | ||||||||
\(188\) | 14.9389 | 1.08953 | ||||||||
\(189\) | 2.48399 | − | 4.30240i | 0.180684 | − | 0.312954i | ||||
\(190\) | 3.88629 | 0.281941 | ||||||||
\(191\) | −10.5506 | − | 18.2741i | −0.763413 | − | 1.32227i | −0.941082 | − | 0.338179i | \(-0.890189\pi\) |
0.177669 | − | 0.984090i | \(-0.443144\pi\) | |||||||
\(192\) | 5.82257 | − | 10.0850i | 0.420208 | − | 0.727821i | ||||
\(193\) | 0.865511 | − | 1.49911i | 0.0623008 | − | 0.107908i | −0.833193 | − | 0.552983i | \(-0.813490\pi\) |
0.895493 | + | 0.445075i | \(0.146823\pi\) | |||||||
\(194\) | −4.84747 | −0.348028 | ||||||||
\(195\) | −1.57843 | − | 2.73392i | −0.113034 | − | 0.195780i | ||||
\(196\) | −5.47562 | − | 9.48406i | −0.391116 | − | 0.677433i | ||||
\(197\) | 0.647895 | + | 1.12219i | 0.0461606 | + | 0.0799526i | 0.888183 | − | 0.459491i | \(-0.151968\pi\) |
−0.842022 | + | 0.539443i | \(0.818635\pi\) | |||||||
\(198\) | 0.297946 | − | 0.516057i | 0.0211741 | − | 0.0366746i | ||||
\(199\) | −11.5919 | − | 20.0777i | −0.821727 | − | 1.42327i | −0.904395 | − | 0.426696i | \(-0.859677\pi\) |
0.0826678 | − | 0.996577i | \(-0.473656\pi\) | |||||||
\(200\) | 1.32708 | − | 2.29858i | 0.0938391 | − | 0.162534i | ||||
\(201\) | 13.8472 | 0.976707 | ||||||||
\(202\) | −1.11085 | −0.0781588 | ||||||||
\(203\) | −4.64791 | + | 8.05042i | −0.326219 | + | 0.565029i | ||||
\(204\) | 2.57690 | + | 4.46332i | 0.180419 | + | 0.312495i | ||||
\(205\) | 1.40948 | − | 2.44130i | 0.0984426 | − | 0.170508i | ||||
\(206\) | −1.86301 | − | 3.22682i | −0.129802 | − | 0.224823i | ||||
\(207\) | −0.497500 | − | 0.861695i | −0.0345786 | − | 0.0598920i | ||||
\(208\) | −1.74871 | − | 3.02885i | −0.121251 | − | 0.210013i | ||||
\(209\) | −22.9383 | −1.58667 | ||||||||
\(210\) | 0.520832 | − | 0.902107i | 0.0359408 | − | 0.0622513i | ||||
\(211\) | 6.96634 | − | 12.0660i | 0.479582 | − | 0.830661i | −0.520143 | − | 0.854079i | \(-0.674122\pi\) |
0.999726 | + | 0.0234180i | \(0.00745486\pi\) | |||||||
\(212\) | 11.8771 | + | 20.5718i | 0.815726 | + | 1.41288i | ||||
\(213\) | 19.2738 | 1.32062 | ||||||||
\(214\) | 2.16280 | − | 3.74608i | 0.147846 | − | 0.256077i | ||||
\(215\) | 3.08090 | 0.210115 | ||||||||
\(216\) | −5.00833 | −0.340774 | ||||||||
\(217\) | 5.56142 | + | 2.96563i | 0.377534 | + | 0.201320i | ||||
\(218\) | −5.87267 | −0.397748 | ||||||||
\(219\) | 29.6013 | 2.00027 | ||||||||
\(220\) | 4.40548 | − | 7.63052i | 0.297018 | − | 0.514450i | ||||
\(221\) | 1.39410 | 0.0937775 | ||||||||
\(222\) | −0.536419 | − | 0.929105i | −0.0360021 | − | 0.0623575i | ||||
\(223\) | −6.55288 | + | 11.3499i | −0.438814 | + | 0.760047i | −0.997598 | − | 0.0692654i | \(-0.977934\pi\) |
0.558785 | + | 0.829313i | \(0.311268\pi\) | |||||||
\(224\) | 1.86886 | − | 3.23696i | 0.124868 | − | 0.216278i | ||||
\(225\) | −1.68990 | −0.112660 | ||||||||
\(226\) | −0.250016 | − | 0.433041i | −0.0166308 | − | 0.0288055i | ||||
\(227\) | 5.22178 | + | 9.04438i | 0.346582 | + | 0.600297i | 0.985640 | − | 0.168861i | \(-0.0540091\pi\) |
−0.639058 | + | 0.769158i | \(0.720676\pi\) | |||||||
\(228\) | −15.0700 | − | 26.1021i | −0.998037 | − | 1.72865i | ||||
\(229\) | 1.11825 | − | 1.93687i | 0.0738962 | − | 0.127992i | −0.826710 | − | 0.562629i | \(-0.809790\pi\) |
0.900606 | + | 0.434637i | \(0.143123\pi\) | |||||||
\(230\) | 0.326379 | + | 0.565306i | 0.0215208 | + | 0.0372752i | ||||
\(231\) | −3.07413 | + | 5.32456i | −0.202263 | + | 0.350330i | ||||
\(232\) | 9.37131 | 0.615257 | ||||||||
\(233\) | −15.5098 | −1.01608 | −0.508042 | − | 0.861333i | \(-0.669630\pi\) | ||||
−0.508042 | + | 0.861333i | \(0.669630\pi\) | |||||||
\(234\) | 0.105898 | − | 0.183421i | 0.00692279 | − | 0.0119906i | ||||
\(235\) | 6.37840 | + | 11.0477i | 0.416081 | + | 0.720673i | ||||
\(236\) | 2.83535 | − | 4.91097i | 0.184565 | − | 0.319677i | ||||
\(237\) | −7.96063 | − | 13.7882i | −0.517099 | − | 0.895641i | ||||
\(238\) | 0.230005 | + | 0.398381i | 0.0149090 | + | 0.0258232i | ||||
\(239\) | 5.42011 | + | 9.38790i | 0.350598 | + | 0.607253i | 0.986354 | − | 0.164637i | \(-0.0526452\pi\) |
−0.635757 | + | 0.771889i | \(0.719312\pi\) | |||||||
\(240\) | 11.0408 | 0.712684 | ||||||||
\(241\) | −5.11607 | + | 8.86129i | −0.329555 | + | 0.570806i | −0.982424 | − | 0.186665i | \(-0.940232\pi\) |
0.652869 | + | 0.757471i | \(0.273565\pi\) | |||||||
\(242\) | −0.449501 | + | 0.778559i | −0.0288950 | + | 0.0500477i | ||||
\(243\) | 3.69838 | + | 6.40578i | 0.237251 | + | 0.410931i | ||||
\(244\) | −3.31661 | −0.212324 | ||||||||
\(245\) | 4.67580 | − | 8.09872i | 0.298726 | − | 0.517408i | ||||
\(246\) | 0.970002 | 0.0618450 | ||||||||
\(247\) | −8.15289 | −0.518756 | ||||||||
\(248\) | −0.214125 | − | 6.35030i | −0.0135969 | − | 0.403245i | ||||
\(249\) | 22.2876 | 1.41242 | ||||||||
\(250\) | 3.49203 | 0.220855 | ||||||||
\(251\) | 6.99814 | − | 12.1211i | 0.441719 | − | 0.765079i | −0.556098 | − | 0.831116i | \(-0.687702\pi\) |
0.997817 | + | 0.0660372i | \(0.0210356\pi\) | |||||||
\(252\) | −1.57514 | −0.0992242 | ||||||||
\(253\) | −1.92641 | − | 3.33663i | −0.121112 | − | 0.209772i | ||||
\(254\) | −0.664482 | + | 1.15092i | −0.0416933 | + | 0.0722149i | ||||
\(255\) | −2.20049 | + | 3.81137i | −0.137800 | + | 0.238677i | ||||
\(256\) | 9.62727 | 0.601705 | ||||||||
\(257\) | 8.94601 | + | 15.4949i | 0.558037 | + | 0.966548i | 0.997660 | + | 0.0683661i | \(0.0217786\pi\) |
−0.439623 | + | 0.898182i | \(0.644888\pi\) | |||||||
\(258\) | 0.530066 | + | 0.918101i | 0.0330004 | + | 0.0571585i | ||||
\(259\) | 1.07912 | + | 1.86910i | 0.0670534 | + | 0.116140i | ||||
\(260\) | 1.56583 | − | 2.71210i | 0.0971087 | − | 0.168197i | ||||
\(261\) | −2.98335 | − | 5.16731i | −0.184665 | − | 0.319848i | ||||
\(262\) | −2.60196 | + | 4.50672i | −0.160750 | + | 0.278426i | ||||
\(263\) | 0.564628 | 0.0348164 | 0.0174082 | − | 0.999848i | \(-0.494459\pi\) | ||||
0.0174082 | + | 0.999848i | \(0.494459\pi\) | |||||||
\(264\) | 6.19820 | 0.381473 | ||||||||
\(265\) | −10.1423 | + | 17.5669i | −0.623034 | + | 1.07913i | ||||
\(266\) | −1.34510 | − | 2.32978i | −0.0824733 | − | 0.142848i | ||||
\(267\) | 4.87281 | − | 8.43996i | 0.298211 | − | 0.516517i | ||||
\(268\) | 6.86835 | + | 11.8963i | 0.419551 | + | 0.726684i | ||||
\(269\) | −14.7514 | − | 25.5501i | −0.899407 | − | 1.55782i | −0.828253 | − | 0.560354i | \(-0.810665\pi\) |
−0.0711543 | − | 0.997465i | \(-0.522668\pi\) | |||||||
\(270\) | −1.04599 | − | 1.81170i | −0.0636567 | − | 0.110257i | ||||
\(271\) | −4.38634 | −0.266451 | −0.133225 | − | 0.991086i | \(-0.542533\pi\) | ||||
−0.133225 | + | 0.991086i | \(0.542533\pi\) | |||||||
\(272\) | −2.43788 | + | 4.22253i | −0.147818 | + | 0.256029i | ||||
\(273\) | −1.09263 | + | 1.89249i | −0.0661291 | + | 0.114539i | ||||
\(274\) | −1.93528 | − | 3.35201i | −0.116915 | − | 0.202502i | ||||
\(275\) | −6.54360 | −0.394594 | ||||||||
\(276\) | 2.53123 | − | 4.38422i | 0.152362 | − | 0.263899i | ||||
\(277\) | −11.7770 | −0.707614 | −0.353807 | − | 0.935318i | \(-0.615113\pi\) | ||||
−0.353807 | + | 0.935318i | \(0.615113\pi\) | |||||||
\(278\) | −2.46157 | −0.147635 | ||||||||
\(279\) | −3.43337 | + | 2.13968i | −0.205550 | + | 0.128099i | ||||
\(280\) | 2.11255 | 0.126249 | ||||||||
\(281\) | −6.50230 | −0.387895 | −0.193947 | − | 0.981012i | \(-0.562129\pi\) | ||||
−0.193947 | + | 0.981012i | \(0.562129\pi\) | |||||||
\(282\) | −2.19480 | + | 3.80150i | −0.130698 | + | 0.226376i | ||||
\(283\) | −1.49693 | −0.0889833 | −0.0444917 | − | 0.999010i | \(-0.514167\pi\) | ||||
−0.0444917 | + | 0.999010i | \(0.514167\pi\) | |||||||
\(284\) | 9.56001 | + | 16.5584i | 0.567282 | + | 0.982562i | ||||
\(285\) | 12.8688 | − | 22.2893i | 0.762279 | − | 1.32031i | ||||
\(286\) | 0.410056 | − | 0.710238i | 0.0242471 | − | 0.0419973i | ||||
\(287\) | −1.95137 | −0.115186 | ||||||||
\(288\) | 1.19956 | + | 2.07770i | 0.0706848 | + | 0.122430i | ||||
\(289\) | 7.52824 | + | 13.0393i | 0.442838 | + | 0.767017i | ||||
\(290\) | 1.95719 | + | 3.38996i | 0.114930 | + | 0.199065i | ||||
\(291\) | −16.0515 | + | 27.8020i | −0.940957 | + | 1.62978i | ||||
\(292\) | 14.6825 | + | 25.4309i | 0.859231 | + | 1.48823i | ||||
\(293\) | 1.44000 | − | 2.49415i | 0.0841257 | − | 0.145710i | −0.820893 | − | 0.571083i | \(-0.806524\pi\) |
0.905018 | + | 0.425373i | \(0.139857\pi\) | |||||||
\(294\) | 3.21787 | 0.187670 | ||||||||
\(295\) | 4.84238 | 0.281934 | ||||||||
\(296\) | 1.08789 | − | 1.88427i | 0.0632321 | − | 0.109521i | ||||
\(297\) | 6.17378 | + | 10.6933i | 0.358239 | + | 0.620488i | ||||
\(298\) | 0.497066 | − | 0.860943i | 0.0287943 | − | 0.0498731i | ||||
\(299\) | −0.684698 | − | 1.18593i | −0.0395971 | − | 0.0685842i | ||||
\(300\) | −4.29903 | − | 7.44615i | −0.248205 | − | 0.429903i | ||||
\(301\) | −1.06634 | − | 1.84696i | −0.0614629 | − | 0.106457i | ||||
\(302\) | −0.412046 | −0.0237106 | ||||||||
\(303\) | −3.67837 | + | 6.37112i | −0.211317 | + | 0.366011i | ||||
\(304\) | 14.2570 | − | 24.6939i | 0.817697 | − | 1.41629i | ||||
\(305\) | −1.41608 | − | 2.45272i | −0.0810843 | − | 0.140442i | ||||
\(306\) | −0.295266 | −0.0168792 | ||||||||
\(307\) | −6.37233 | + | 11.0372i | −0.363688 | + | 0.629926i | −0.988565 | − | 0.150798i | \(-0.951816\pi\) |
0.624877 | + | 0.780723i | \(0.285149\pi\) | |||||||
\(308\) | −6.09920 | −0.347534 | ||||||||
\(309\) | −24.6761 | −1.40377 | ||||||||
\(310\) | 2.25242 | − | 1.40371i | 0.127929 | − | 0.0797256i | ||||
\(311\) | −18.6991 | −1.06033 | −0.530165 | − | 0.847894i | \(-0.677870\pi\) | ||||
−0.530165 | + | 0.847894i | \(0.677870\pi\) | |||||||
\(312\) | 2.20301 | 0.124721 | ||||||||
\(313\) | −9.16560 | + | 15.8753i | −0.518070 | + | 0.897324i | 0.481709 | + | 0.876331i | \(0.340016\pi\) |
−0.999780 | + | 0.0209930i | \(0.993317\pi\) | |||||||
\(314\) | 1.50418 | 0.0848859 | ||||||||
\(315\) | −0.672528 | − | 1.16485i | −0.0378927 | − | 0.0656320i | ||||
\(316\) | 7.89710 | − | 13.6782i | 0.444247 | − | 0.769458i | ||||
\(317\) | 13.8682 | − | 24.0204i | 0.778915 | − | 1.34912i | −0.153653 | − | 0.988125i | \(-0.549104\pi\) |
0.932568 | − | 0.360995i | \(-0.117563\pi\) | |||||||
\(318\) | −6.97987 | −0.391411 | ||||||||
\(319\) | −11.5520 | − | 20.0087i | −0.646790 | − | 1.12027i | ||||
\(320\) | 4.93239 | + | 8.54314i | 0.275729 | + | 0.477576i | ||||
\(321\) | −14.3235 | − | 24.8090i | −0.799458 | − | 1.38470i | ||||
\(322\) | 0.225929 | − | 0.391320i | 0.0125905 | − | 0.0218074i | ||||
\(323\) | 5.68299 | + | 9.84322i | 0.316210 | + | 0.547692i | ||||
\(324\) | −10.1993 | + | 17.6657i | −0.566629 | + | 0.981430i | ||||
\(325\) | −2.32578 | −0.129011 | ||||||||
\(326\) | −2.00723 | −0.111170 | ||||||||
\(327\) | −19.4463 | + | 33.6820i | −1.07538 | + | 1.86262i | ||||
\(328\) | 0.983607 | + | 1.70366i | 0.0543106 | + | 0.0940688i | ||||
\(329\) | 4.41530 | − | 7.64753i | 0.243424 | − | 0.421622i | ||||
\(330\) | 1.29449 | + | 2.24212i | 0.0712593 | + | 0.123425i | ||||
\(331\) | 10.5308 | + | 18.2399i | 0.578826 | + | 1.00256i | 0.995614 | + | 0.0935523i | \(0.0298222\pi\) |
−0.416789 | + | 0.909003i | \(0.636844\pi\) | |||||||
\(332\) | 11.0549 | + | 19.1476i | 0.606714 | + | 1.05086i | ||||
\(333\) | −1.38531 | −0.0759145 | ||||||||
\(334\) | −0.299461 | + | 0.518681i | −0.0163858 | + | 0.0283810i | ||||
\(335\) | −5.86509 | + | 10.1586i | −0.320444 | + | 0.555026i | ||||
\(336\) | −3.82139 | − | 6.61885i | −0.208474 | − | 0.361088i | ||||
\(337\) | 11.1487 | 0.607310 | 0.303655 | − | 0.952782i | \(-0.401793\pi\) | ||||
0.303655 | + | 0.952782i | \(0.401793\pi\) | |||||||
\(338\) | 0.145745 | − | 0.252438i | 0.00792751 | − | 0.0137308i | ||||
\(339\) | −3.31154 | −0.179858 | ||||||||
\(340\) | −4.36586 | −0.236772 | ||||||||
\(341\) | −13.2946 | + | 8.28521i | −0.719943 | + | 0.448669i | ||||
\(342\) | 1.72675 | 0.0933722 | ||||||||
\(343\) | −14.3975 | −0.777390 | ||||||||
\(344\) | −1.07500 | + | 1.86196i | −0.0579602 | + | 0.100390i | ||||
\(345\) | 4.32299 | 0.232742 | ||||||||
\(346\) | 0.835415 | + | 1.44698i | 0.0449122 | + | 0.0777902i | ||||
\(347\) | −13.7745 | + | 23.8581i | −0.739452 | + | 1.28077i | 0.213290 | + | 0.976989i | \(0.431582\pi\) |
−0.952742 | + | 0.303780i | \(0.901751\pi\) | |||||||
\(348\) | 15.1790 | − | 26.2908i | 0.813678 | − | 1.40933i | ||||
\(349\) | 22.8087 | 1.22092 | 0.610461 | − | 0.792046i | \(-0.290984\pi\) | ||||
0.610461 | + | 0.792046i | \(0.290984\pi\) | |||||||
\(350\) | −0.383717 | − | 0.664617i | −0.0205105 | − | 0.0355253i | ||||
\(351\) | 2.19433 | + | 3.80070i | 0.117125 | + | 0.202866i | ||||
\(352\) | 4.64491 | + | 8.04521i | 0.247574 | + | 0.428811i | ||||
\(353\) | 6.68667 | − | 11.5816i | 0.355895 | − | 0.616429i | −0.631375 | − | 0.775477i | \(-0.717509\pi\) |
0.987271 | + | 0.159048i | \(0.0508426\pi\) | |||||||
\(354\) | 0.833127 | + | 1.44302i | 0.0442802 | + | 0.0766956i | ||||
\(355\) | −8.16358 | + | 14.1397i | −0.433278 | + | 0.750459i | ||||
\(356\) | 9.66785 | 0.512395 | ||||||||
\(357\) | 3.04649 | 0.161237 | ||||||||
\(358\) | 2.03918 | − | 3.53196i | 0.107774 | − | 0.186670i | ||||
\(359\) | −0.858901 | − | 1.48766i | −0.0453311 | − | 0.0785157i | 0.842470 | − | 0.538744i | \(-0.181101\pi\) |
−0.887801 | + | 0.460228i | \(0.847768\pi\) | |||||||
\(360\) | −0.677989 | + | 1.17431i | −0.0357332 | + | 0.0618917i | ||||
\(361\) | −23.7348 | − | 41.1099i | −1.24920 | − | 2.16368i | ||||
\(362\) | 0.780433 | + | 1.35175i | 0.0410187 | + | 0.0710464i | ||||
\(363\) | 2.97689 | + | 5.15612i | 0.156246 | + | 0.270626i | ||||
\(364\) | −2.16782 | −0.113625 | ||||||||
\(365\) | −12.5379 | + | 21.7162i | −0.656262 | + | 1.13668i | ||||
\(366\) | 0.487269 | − | 0.843975i | 0.0254700 | − | 0.0441153i | ||||
\(367\) | −1.41209 | − | 2.44580i | −0.0737102 | − | 0.127670i | 0.826814 | − | 0.562475i | \(-0.190151\pi\) |
−0.900525 | + | 0.434805i | \(0.856817\pi\) | |||||||
\(368\) | 4.78935 | 0.249662 | ||||||||
\(369\) | 0.626261 | − | 1.08472i | 0.0326018 | − | 0.0564680i | ||||
\(370\) | 0.908818 | 0.0472472 | ||||||||
\(371\) | 14.0415 | 0.728999 | ||||||||
\(372\) | −18.1623 | − | 9.68505i | −0.941671 | − | 0.502146i | ||||
\(373\) | 31.7562 | 1.64427 | 0.822137 | − | 0.569289i | \(-0.192782\pi\) | ||||
0.822137 | + | 0.569289i | \(0.192782\pi\) | |||||||
\(374\) | −1.14332 | −0.0591198 | ||||||||
\(375\) | 11.5632 | − | 20.0281i | 0.597122 | − | 1.03425i | ||||
\(376\) | −8.90232 | −0.459102 | ||||||||
\(377\) | −4.10591 | − | 7.11165i | −0.211465 | − | 0.366269i | ||||
\(378\) | −0.724061 | + | 1.25411i | −0.0372417 | + | 0.0645045i | ||||
\(379\) | −4.14593 | + | 7.18096i | −0.212962 | + | 0.368861i | −0.952640 | − | 0.304100i | \(-0.901644\pi\) |
0.739678 | + | 0.672961i | \(0.234978\pi\) | |||||||
\(380\) | 25.5321 | 1.30977 | ||||||||
\(381\) | 4.40063 | + | 7.62211i | 0.225451 | + | 0.390492i | ||||
\(382\) | 3.07540 | + | 5.32674i | 0.157351 | + | 0.272540i | ||||
\(383\) | −11.5934 | − | 20.0803i | −0.592393 | − | 1.02605i | −0.993909 | − | 0.110202i | \(-0.964850\pi\) |
0.401517 | − | 0.915852i | \(-0.368483\pi\) | |||||||
\(384\) | −8.07126 | + | 13.9798i | −0.411885 | + | 0.713406i | ||||
\(385\) | −2.60415 | − | 4.51051i | −0.132720 | − | 0.229877i | ||||
\(386\) | −0.252288 | + | 0.436976i | −0.0128411 | + | 0.0222415i | ||||
\(387\) | 1.36890 | 0.0695852 | ||||||||
\(388\) | −31.8468 | −1.61678 | ||||||||
\(389\) | −7.24532 | + | 12.5493i | −0.367352 | + | 0.636273i | −0.989151 | − | 0.146904i | \(-0.953069\pi\) |
0.621798 | + | 0.783177i | \(0.286402\pi\) | |||||||
\(390\) | 0.460097 | + | 0.796912i | 0.0232979 | + | 0.0403532i | ||||
\(391\) | −0.954540 | + | 1.65331i | −0.0482732 | + | 0.0836116i | ||||
\(392\) | 3.26300 | + | 5.65169i | 0.164807 | + | 0.285453i | ||||
\(393\) | 17.2318 | + | 29.8464i | 0.869231 | + | 1.50555i | ||||
\(394\) | −0.188856 | − | 0.327107i | −0.00951441 | − | 0.0164794i | ||||
\(395\) | 13.4871 | 0.678612 | ||||||||
\(396\) | 1.95744 | − | 3.39039i | 0.0983652 | − | 0.170373i | ||||
\(397\) | 4.25232 | − | 7.36523i | 0.213418 | − | 0.369650i | −0.739364 | − | 0.673306i | \(-0.764874\pi\) |
0.952782 | + | 0.303655i | \(0.0982072\pi\) | |||||||
\(398\) | 3.37893 | + | 5.85248i | 0.169370 | + | 0.293358i | ||||
\(399\) | −17.8162 | −0.891927 | ||||||||
\(400\) | 4.06711 | − | 7.04444i | 0.203355 | − | 0.352222i | ||||
\(401\) | −22.7771 | −1.13743 | −0.568717 | − | 0.822533i | \(-0.692560\pi\) | ||||
−0.568717 | + | 0.822533i | \(0.692560\pi\) | |||||||
\(402\) | −4.03634 | −0.201314 | ||||||||
\(403\) | −4.72527 | + | 2.94479i | −0.235383 | + | 0.146691i | ||||
\(404\) | −7.29802 | −0.363090 | ||||||||
\(405\) | −17.4190 | −0.865558 | ||||||||
\(406\) | 1.35482 | − | 2.34662i | 0.0672387 | − | 0.116461i | ||||
\(407\) | −5.36416 | −0.265892 | ||||||||
\(408\) | −1.53561 | − | 2.65976i | −0.0760241 | − | 0.131678i | ||||
\(409\) | −11.3608 | + | 19.6775i | −0.561755 | + | 0.972988i | 0.435588 | + | 0.900146i | \(0.356540\pi\) |
−0.997343 | + | 0.0728423i | \(0.976793\pi\) | |||||||
\(410\) | −0.410852 | + | 0.711616i | −0.0202905 | + | 0.0351442i | ||||
\(411\) | −25.6334 | −1.26440 | ||||||||
\(412\) | −12.2396 | − | 21.1995i | −0.603000 | − | 1.04443i | ||||
\(413\) | −1.67602 | − | 2.90294i | −0.0824713 | − | 0.142845i | ||||
\(414\) | 0.145017 | + | 0.251176i | 0.00712718 | + | 0.0123446i | ||||
\(415\) | −9.44007 | + | 16.3507i | −0.463395 | + | 0.802624i | ||||
\(416\) | 1.65093 | + | 2.85949i | 0.0809434 | + | 0.140198i | ||||
\(417\) | −8.15106 | + | 14.1181i | −0.399159 | + | 0.691364i | ||||
\(418\) | 6.68629 | 0.327037 | ||||||||
\(419\) | 4.98063 | 0.243320 | 0.121660 | − | 0.992572i | \(-0.461178\pi\) | ||||
0.121660 | + | 0.992572i | \(0.461178\pi\) | |||||||
\(420\) | 3.42176 | − | 5.92666i | 0.166965 | − | 0.289191i | ||||
\(421\) | 11.2882 | + | 19.5518i | 0.550154 | + | 0.952894i | 0.998263 | + | 0.0589155i | \(0.0187642\pi\) |
−0.448109 | + | 0.893979i | \(0.647902\pi\) | |||||||
\(422\) | −2.03062 | + | 3.51714i | −0.0988492 | + | 0.171212i | ||||
\(423\) | 2.83405 | + | 4.90871i | 0.137796 | + | 0.238670i | ||||
\(424\) | −7.07777 | − | 12.2591i | −0.343727 | − | 0.595352i | ||||
\(425\) | 1.62119 | + | 2.80798i | 0.0786392 | + | 0.136207i | ||||
\(426\) | −5.61815 | −0.272200 | ||||||||
\(427\) | −0.980247 | + | 1.69784i | −0.0474375 | + | 0.0821641i | ||||
\(428\) | 14.2092 | − | 24.6110i | 0.686826 | − | 1.18962i | ||||
\(429\) | −2.71566 | − | 4.70366i | −0.131113 | − | 0.227095i | ||||
\(430\) | −0.898053 | −0.0433080 | ||||||||
\(431\) | −6.94935 | + | 12.0366i | −0.334739 | + | 0.579784i | −0.983435 | − | 0.181263i | \(-0.941981\pi\) |
0.648696 | + | 0.761048i | \(0.275315\pi\) | |||||||
\(432\) | −15.3490 | −0.738479 | ||||||||
\(433\) | −13.2479 | −0.636656 | −0.318328 | − | 0.947981i | \(-0.603121\pi\) | ||||
−0.318328 | + | 0.947981i | \(0.603121\pi\) | |||||||
\(434\) | −1.62110 | − | 0.864454i | −0.0778155 | − | 0.0414951i | ||||
\(435\) | 25.9236 | 1.24294 | ||||||||
\(436\) | −38.5822 | −1.84775 | ||||||||
\(437\) | 5.58227 | − | 9.66878i | 0.267036 | − | 0.462520i | ||||
\(438\) | −8.62852 | −0.412286 | ||||||||
\(439\) | −8.77562 | − | 15.1998i | −0.418837 | − | 0.725448i | 0.576985 | − | 0.816755i | \(-0.304229\pi\) |
−0.995823 | + | 0.0913067i | \(0.970896\pi\) | |||||||
\(440\) | −2.62529 | + | 4.54714i | −0.125156 | + | 0.216776i | ||||
\(441\) | 2.07755 | − | 3.59842i | 0.0989309 | − | 0.171353i | ||||
\(442\) | −0.406368 | −0.0193290 | ||||||||
\(443\) | 11.0743 | + | 19.1812i | 0.526156 | + | 0.911329i | 0.999536 | + | 0.0304702i | \(0.00970047\pi\) |
−0.473380 | + | 0.880858i | \(0.656966\pi\) | |||||||
\(444\) | −3.52416 | − | 6.10402i | −0.167249 | − | 0.289684i | ||||
\(445\) | 4.12783 | + | 7.14962i | 0.195678 | + | 0.338924i | ||||
\(446\) | 1.91011 | − | 3.30840i | 0.0904461 | − | 0.156657i | ||||
\(447\) | −3.29189 | − | 5.70172i | −0.155701 | − | 0.269682i | ||||
\(448\) | 3.41434 | − | 5.91380i | 0.161312 | − | 0.279401i | ||||
\(449\) | −10.6095 | −0.500692 | −0.250346 | − | 0.968156i | \(-0.580544\pi\) | ||||
−0.250346 | + | 0.968156i | \(0.580544\pi\) | |||||||
\(450\) | 0.492592 | 0.0232210 | ||||||||
\(451\) | 2.42499 | − | 4.20021i | 0.114188 | − | 0.197780i | ||||
\(452\) | −1.64255 | − | 2.84499i | −0.0772593 | − | 0.133817i | ||||
\(453\) | −1.36442 | + | 2.36324i | −0.0641058 | + | 0.111035i | ||||
\(454\) | −1.52210 | − | 2.63636i | −0.0714357 | − | 0.123730i | ||||
\(455\) | −0.925585 | − | 1.60316i | −0.0433921 | − | 0.0751573i | ||||
\(456\) | 8.98045 | + | 15.5546i | 0.420548 | + | 0.728411i | ||||
\(457\) | 18.9407 | 0.886010 | 0.443005 | − | 0.896519i | \(-0.353912\pi\) | ||||
0.443005 | + | 0.896519i | \(0.353912\pi\) | |||||||
\(458\) | −0.325960 | + | 0.564580i | −0.0152311 | + | 0.0263811i | ||||
\(459\) | 3.05913 | − | 5.29856i | 0.142788 | − | 0.247316i | ||||
\(460\) | 2.14424 | + | 3.71394i | 0.0999759 | + | 0.173163i | ||||
\(461\) | 4.08386 | 0.190204 | 0.0951022 | − | 0.995468i | \(-0.469682\pi\) | ||||
0.0951022 | + | 0.995468i | \(0.469682\pi\) | |||||||
\(462\) | 0.896082 | − | 1.55206i | 0.0416895 | − | 0.0722083i | ||||
\(463\) | 30.8493 | 1.43369 | 0.716844 | − | 0.697233i | \(-0.245586\pi\) | ||||
0.716844 | + | 0.697233i | \(0.245586\pi\) | |||||||
\(464\) | 28.7202 | 1.33330 | ||||||||
\(465\) | −0.592327 | − | 17.5667i | −0.0274685 | − | 0.814634i | ||||
\(466\) | 4.52098 | 0.209430 | ||||||||
\(467\) | 36.9982 | 1.71207 | 0.856036 | − | 0.516916i | \(-0.172920\pi\) | ||||
0.856036 | + | 0.516916i | \(0.172920\pi\) | |||||||
\(468\) | 0.695729 | − | 1.20504i | 0.0321601 | − | 0.0557029i | ||||
\(469\) | 8.11996 | 0.374945 | ||||||||
\(470\) | −1.85924 | − | 3.22031i | −0.0857605 | − | 0.148542i | ||||
\(471\) | 4.98083 | − | 8.62705i | 0.229504 | − | 0.397513i | ||||
\(472\) | −1.68963 | + | 2.92652i | −0.0777713 | + | 0.134704i | ||||
\(473\) | 5.30063 | 0.243723 | ||||||||
\(474\) | 2.32045 | + | 4.01914i | 0.106582 | + | 0.184605i | ||||
\(475\) | −9.48091 | − | 16.4214i | −0.435014 | − | 0.753466i | ||||
\(476\) | 1.51109 | + | 2.61728i | 0.0692605 | + | 0.119963i | ||||
\(477\) | −4.50640 | + | 7.80531i | −0.206334 | + | 0.357381i | ||||
\(478\) | −1.57991 | − | 2.73649i | −0.0722635 | − | 0.125164i | ||||
\(479\) | −16.5043 | + | 28.5863i | −0.754100 | + | 1.30614i | 0.191721 | + | 0.981450i | \(0.438593\pi\) |
−0.945821 | + | 0.324690i | \(0.894740\pi\) | |||||||
\(480\) | −10.4235 | −0.475765 | ||||||||
\(481\) | −1.90657 | −0.0869322 | ||||||||
\(482\) | 1.49129 | − | 2.58299i | 0.0679263 | − | 0.117652i | ||||
\(483\) | −1.49625 | − | 2.59158i | −0.0680816 | − | 0.117921i | ||||
\(484\) | −2.95313 | + | 5.11497i | −0.134233 | + | 0.232499i | ||||
\(485\) | −13.5975 | − | 23.5515i | −0.617430 | − | 1.06942i | ||||
\(486\) | −1.07804 | − | 1.86722i | −0.0489010 | − | 0.0846990i | ||||
\(487\) | −7.27231 | − | 12.5960i | −0.329540 | − | 0.570780i | 0.652881 | − | 0.757461i | \(-0.273560\pi\) |
−0.982421 | + | 0.186681i | \(0.940227\pi\) | |||||||
\(488\) | 1.97641 | 0.0894681 | ||||||||
\(489\) | −6.64658 | + | 11.5122i | −0.300569 | + | 0.520600i | ||||
\(490\) | −1.36295 | + | 2.36070i | −0.0615719 | + | 0.106646i | ||||
\(491\) | 12.8216 | + | 22.2076i | 0.578629 | + | 1.00221i | 0.995637 | + | 0.0933116i | \(0.0297453\pi\) |
−0.417008 | + | 0.908903i | \(0.636921\pi\) | |||||||
\(492\) | 6.37271 | 0.287304 | ||||||||
\(493\) | −5.72407 | + | 9.91438i | −0.257799 | + | 0.446521i | ||||
\(494\) | 2.37649 | 0.106923 | ||||||||
\(495\) | 3.34304 | 0.150258 | ||||||||
\(496\) | −0.656227 | − | 19.4617i | −0.0294655 | − | 0.873858i | ||||
\(497\) | 11.3021 | 0.506969 | ||||||||
\(498\) | −6.49662 | −0.291121 | ||||||||
\(499\) | 12.8263 | − | 22.2157i | 0.574183 | − | 0.994513i | −0.421947 | − | 0.906620i | \(-0.638653\pi\) |
0.996130 | − | 0.0878930i | \(-0.0280134\pi\) | |||||||
\(500\) | 22.9419 | 1.02599 | ||||||||
\(501\) | 1.98322 | + | 3.43504i | 0.0886038 | + | 0.153466i | ||||
\(502\) | −2.03989 | + | 3.53320i | −0.0910449 | + | 0.157694i | ||||
\(503\) | −11.6192 | + | 20.1251i | −0.518076 | + | 0.897333i | 0.481704 | + | 0.876334i | \(0.340018\pi\) |
−0.999779 | + | 0.0209992i | \(0.993315\pi\) | |||||||
\(504\) | 0.938646 | 0.0418106 | ||||||||
\(505\) | −3.11600 | − | 5.39707i | −0.138660 | − | 0.240166i | ||||
\(506\) | 0.561530 | + | 0.972598i | 0.0249630 | + | 0.0432373i | ||||
\(507\) | −0.965220 | − | 1.67181i | −0.0428669 | − | 0.0742477i | ||||
\(508\) | −4.36551 | + | 7.56128i | −0.193688 | + | 0.335477i | ||||
\(509\) | 15.5178 | + | 26.8776i | 0.687813 | + | 1.19133i | 0.972544 | + | 0.232720i | \(0.0747626\pi\) |
−0.284730 | + | 0.958608i | \(0.591904\pi\) | |||||||
\(510\) | 0.641423 | − | 1.11098i | 0.0284027 | − | 0.0491949i | ||||
\(511\) | 17.3581 | 0.767878 | ||||||||
\(512\) | −19.5305 | −0.863132 | ||||||||
\(513\) | −17.8902 | + | 30.9867i | −0.789870 | + | 1.36809i | ||||
\(514\) | −2.60768 | − | 4.51664i | −0.115020 | − | 0.199220i | ||||
\(515\) | 10.4517 | − | 18.1029i | 0.460558 | − | 0.797710i | ||||
\(516\) | 3.48242 | + | 6.03173i | 0.153305 | + | 0.265532i | ||||
\(517\) | 10.9739 | + | 19.0074i | 0.482632 | + | 0.835943i | ||||
\(518\) | −0.314554 | − | 0.544824i | −0.0138207 | − | 0.0239382i | ||||
\(519\) | 11.0653 | 0.485713 | ||||||||
\(520\) | −0.933102 | + | 1.61618i | −0.0409192 | + | 0.0708742i | ||||
\(521\) | 7.58436 | − | 13.1365i | 0.332277 | − | 0.575520i | −0.650681 | − | 0.759351i | \(-0.725517\pi\) |
0.982958 | + | 0.183831i | \(0.0588499\pi\) | |||||||
\(522\) | 0.869618 | + | 1.50622i | 0.0380622 | + | 0.0659256i | ||||
\(523\) | −7.86242 | −0.343799 | −0.171900 | − | 0.985114i | \(-0.554991\pi\) | ||||
−0.171900 | + | 0.985114i | \(0.554991\pi\) | |||||||
\(524\) | −17.0943 | + | 29.6082i | −0.746769 | + | 1.29344i | ||||
\(525\) | −5.08244 | −0.221816 | ||||||||
\(526\) | −0.164584 | −0.00717619 | ||||||||
\(527\) | 6.84909 | + | 3.65228i | 0.298351 | + | 0.159096i | ||||
\(528\) | 18.9956 | 0.826676 | ||||||||
\(529\) | −21.1248 | −0.918468 | ||||||||
\(530\) | 2.95637 | − | 5.12059i | 0.128417 | − | 0.222424i | ||||
\(531\) | 2.15156 | 0.0933699 | ||||||||
\(532\) | −8.83702 | − | 15.3062i | −0.383133 | − | 0.663606i | ||||
\(533\) | 0.861909 | − | 1.49287i | 0.0373334 | − | 0.0646634i | ||||
\(534\) | −1.42038 | + | 2.46017i | −0.0614659 | + | 0.106462i | ||||
\(535\) | 24.2673 | 1.04917 | ||||||||
\(536\) | −4.09295 | − | 7.08920i | −0.176789 | − | 0.306207i | ||||
\(537\) | −13.5047 | − | 23.3909i | −0.582772 | − | 1.00939i | ||||
\(538\) | 4.29989 | + | 7.44763i | 0.185381 | + | 0.321090i | ||||
\(539\) | 8.04463 | − | 13.9337i | 0.346507 | − | 0.600167i | ||||
\(540\) | −6.87191 | − | 11.9025i | −0.295720 | − | 0.512202i | ||||
\(541\) | 14.6063 | − | 25.2989i | 0.627976 | − | 1.08769i | −0.359982 | − | 0.932959i | \(-0.617217\pi\) |
0.987957 | − | 0.154726i | \(-0.0494496\pi\) | |||||||
\(542\) | 1.27858 | 0.0549196 | ||||||||
\(543\) | 10.3371 | 0.443606 | ||||||||
\(544\) | 2.30157 | − | 3.98643i | 0.0986788 | − | 0.170917i | ||||
\(545\) | −16.4733 | − | 28.5325i | −0.705637 | − | 1.22220i | ||||
\(546\) | 0.318492 | − | 0.551645i | 0.0136302 | − | 0.0236082i | ||||
\(547\) | 9.87380 | + | 17.1019i | 0.422173 | + | 0.731226i | 0.996152 | − | 0.0876447i | \(-0.0279340\pi\) |
−0.573978 | + | 0.818870i | \(0.694601\pi\) | |||||||
\(548\) | −12.7144 | − | 22.0220i | −0.543132 | − | 0.940732i | ||||
\(549\) | −0.629190 | − | 1.08979i | −0.0268532 | − | 0.0465110i | ||||
\(550\) | 1.90740 | 0.0813318 | ||||||||
\(551\) | 33.4751 | − | 57.9805i | 1.42609 | − | 2.47005i | ||||
\(552\) | −1.50840 | + | 2.61262i | −0.0642017 | + | 0.111201i | ||||
\(553\) | −4.66809 | − | 8.08537i | −0.198507 | − | 0.343825i | ||||
\(554\) | 3.43290 | 0.145850 | ||||||||
\(555\) | 3.00939 | − | 5.21241i | 0.127741 | − | 0.221255i | ||||
\(556\) | −16.1720 | −0.685847 | ||||||||
\(557\) | −5.44336 | −0.230642 | −0.115321 | − | 0.993328i | \(-0.536790\pi\) | ||||
−0.115321 | + | 0.993328i | \(0.536790\pi\) | |||||||
\(558\) | 1.00080 | − | 0.623697i | 0.0423671 | − | 0.0264032i | ||||
\(559\) | 1.88399 | 0.0796843 | ||||||||
\(560\) | 6.47432 | 0.273590 | ||||||||
\(561\) | −3.78591 | + | 6.55738i | −0.159841 | + | 0.276853i | ||||
\(562\) | 1.89536 | 0.0799509 | ||||||||
\(563\) | −12.0972 | − | 20.9529i | −0.509834 | − | 0.883059i | −0.999935 | − | 0.0113934i | \(-0.996373\pi\) |
0.490101 | − | 0.871666i | \(-0.336960\pi\) | |||||||
\(564\) | −14.4193 | + | 24.9750i | −0.607164 | + | 1.05164i | ||||
\(565\) | 1.40263 | − | 2.42942i | 0.0590090 | − | 0.102207i | ||||
\(566\) | 0.436342 | 0.0183408 | ||||||||
\(567\) | 6.02897 | + | 10.4425i | 0.253193 | + | 0.438543i | ||||
\(568\) | −5.69695 | − | 9.86741i | −0.239039 | − | 0.414027i | ||||
\(569\) | 18.4093 | + | 31.8858i | 0.771758 | + | 1.33672i | 0.936599 | + | 0.350403i | \(0.113955\pi\) |
−0.164841 | + | 0.986320i | \(0.552711\pi\) | |||||||
\(570\) | −3.75112 | + | 6.49714i | −0.157117 | + | 0.272135i | ||||
\(571\) | 16.2818 | + | 28.2008i | 0.681370 | + | 1.18017i | 0.974563 | + | 0.224115i | \(0.0719490\pi\) |
−0.293192 | + | 0.956053i | \(0.594718\pi\) | |||||||
\(572\) | 2.69398 | − | 4.66612i | 0.112641 | − | 0.195100i | ||||
\(573\) | 40.7345 | 1.70171 | ||||||||
\(574\) | 0.568806 | 0.0237415 | ||||||||
\(575\) | 1.59246 | − | 2.75822i | 0.0664100 | − | 0.115026i | ||||
\(576\) | 2.19155 | + | 3.79588i | 0.0913148 | + | 0.158162i | ||||
\(577\) | −3.45823 | + | 5.98983i | −0.143968 | + | 0.249360i | −0.928987 | − | 0.370111i | \(-0.879320\pi\) |
0.785019 | + | 0.619471i | \(0.212653\pi\) | |||||||
\(578\) | −2.19441 | − | 3.80083i | −0.0912755 | − | 0.158094i | ||||
\(579\) | 1.67082 | + | 2.89394i | 0.0694367 | + | 0.120268i | ||||
\(580\) | 12.8583 | + | 22.2713i | 0.533914 | + | 0.924765i | ||||
\(581\) | 13.0694 | 0.542209 | ||||||||
\(582\) | 4.67887 | − | 8.10404i | 0.193945 | − | 0.335923i | ||||
\(583\) | −17.4496 | + | 30.2235i | −0.722687 | + | 1.25173i | ||||
\(584\) | −8.74954 | − | 15.1546i | −0.362059 | − | 0.627104i | ||||
\(585\) | 1.18821 | 0.0491264 | ||||||||
\(586\) | −0.419747 | + | 0.727023i | −0.0173396 | + | 0.0300330i | ||||
\(587\) | 16.0678 | 0.663190 | 0.331595 | − | 0.943422i | \(-0.392413\pi\) | ||||
0.331595 | + | 0.943422i | \(0.392413\pi\) | |||||||
\(588\) | 21.1407 | 0.871829 | ||||||||
\(589\) | −40.0544 | − | 21.3590i | −1.65041 | − | 0.880082i | ||||
\(590\) | −1.41151 | −0.0581109 | ||||||||
\(591\) | −2.50145 | −0.102896 | ||||||||
\(592\) | 3.33404 | − | 5.77472i | 0.137028 | − | 0.237340i | ||||
\(593\) | 23.0992 | 0.948571 | 0.474286 | − | 0.880371i | \(-0.342706\pi\) | ||||
0.474286 | + | 0.880371i | \(0.342706\pi\) | |||||||
\(594\) | −1.79960 | − | 3.11700i | −0.0738385 | − | 0.127892i | ||||
\(595\) | −1.29036 | + | 2.23497i | −0.0528997 | + | 0.0916249i | ||||
\(596\) | 3.26562 | − | 5.65622i | 0.133765 | − | 0.231688i | ||||
\(597\) | 44.7549 | 1.83170 | ||||||||
\(598\) | 0.199583 | + | 0.345688i | 0.00816157 | + | 0.0141362i | ||||
\(599\) | −20.7219 | − | 35.8914i | −0.846674 | − | 1.46648i | −0.884159 | − | 0.467186i | \(-0.845268\pi\) |
0.0374848 | − | 0.999297i | \(-0.488065\pi\) | |||||||
\(600\) | 2.56186 | + | 4.43727i | 0.104587 | + | 0.181151i | ||||
\(601\) | 7.37467 | − | 12.7733i | 0.300819 | − | 0.521034i | −0.675503 | − | 0.737358i | \(-0.736073\pi\) |
0.976322 | + | 0.216324i | \(0.0694066\pi\) | |||||||
\(602\) | 0.310829 | + | 0.538371i | 0.0126684 | + | 0.0219424i | ||||
\(603\) | −2.60597 | + | 4.51368i | −0.106123 | + | 0.183811i | ||||
\(604\) | −2.70705 | −0.110148 | ||||||||
\(605\) | −5.04353 | −0.205049 | ||||||||
\(606\) | 1.07221 | − | 1.85712i | 0.0435556 | − | 0.0754404i | ||||
\(607\) | −12.7808 | − | 22.1371i | −0.518759 | − | 0.898516i | −0.999762 | − | 0.0217977i | \(-0.993061\pi\) |
0.481004 | − | 0.876718i | \(-0.340272\pi\) | |||||||
\(608\) | −13.4598 | + | 23.3131i | −0.545869 | + | 0.945472i | ||||
\(609\) | −8.97251 | − | 15.5408i | −0.363584 | − | 0.629747i | ||||
\(610\) | 0.412773 | + | 0.714944i | 0.0167127 | + | 0.0289472i | ||||
\(611\) | 3.90043 | + | 6.75575i | 0.157795 | + | 0.273308i | ||||
\(612\) | −1.93984 | −0.0784133 | ||||||||
\(613\) | 5.26219 | − | 9.11438i | 0.212538 | − | 0.368126i | −0.739970 | − | 0.672640i | \(-0.765160\pi\) |
0.952508 | + | 0.304513i | \(0.0984938\pi\) | |||||||
\(614\) | 1.85747 | − | 3.21724i | 0.0749616 | − | 0.129837i | ||||
\(615\) | 2.72092 | + | 4.71278i | 0.109718 | + | 0.190038i | ||||
\(616\) | 3.63460 | 0.146442 | ||||||||
\(617\) | 7.20070 | − | 12.4720i | 0.289889 | − | 0.502103i | −0.683894 | − | 0.729581i | \(-0.739715\pi\) |
0.973783 | + | 0.227479i | \(0.0730482\pi\) | |||||||
\(618\) | 7.19284 | 0.289339 | ||||||||
\(619\) | −35.5923 | −1.43057 | −0.715287 | − | 0.698831i | \(-0.753704\pi\) | ||||
−0.715287 | + | 0.698831i | \(0.753704\pi\) | |||||||
\(620\) | 14.7980 | − | 9.22210i | 0.594300 | − | 0.370369i | ||||
\(621\) | −6.00982 | −0.241166 | ||||||||
\(622\) | 5.45063 | 0.218550 | ||||||||
\(623\) | 2.85740 | − | 4.94916i | 0.114479 | − | 0.198284i | ||||
\(624\) | 6.75155 | 0.270278 | ||||||||
\(625\) | 3.98093 | + | 6.89517i | 0.159237 | + | 0.275807i | ||||
\(626\) | 2.67169 | − | 4.62750i | 0.106782 | − | 0.184952i | ||||
\(627\) | 22.1405 | − | 38.3484i | 0.884205 | − | 1.53149i | ||||
\(628\) | 9.88215 | 0.394341 | ||||||||
\(629\) | 1.32898 | + | 2.30186i | 0.0529899 | + | 0.0917811i | ||||
\(630\) | 0.196036 | + | 0.339544i | 0.00781025 | + | 0.0135278i | ||||
\(631\) | −5.77319 | − | 9.99946i | −0.229827 | − | 0.398072i | 0.727930 | − | 0.685652i | \(-0.240483\pi\) |
−0.957757 | + | 0.287580i | \(0.907149\pi\) | |||||||
\(632\) | −4.70600 | + | 8.15103i | −0.187195 | + | 0.324230i | ||||
\(633\) | 13.4481 | + | 23.2928i | 0.534514 | + | 0.925805i | ||||
\(634\) | −4.04245 | + | 7.00173i | −0.160546 | + | 0.278074i | ||||
\(635\) | −7.45568 | −0.295869 | ||||||||
\(636\) | −45.8562 | −1.81832 | ||||||||
\(637\) | 2.85928 | − | 4.95242i | 0.113289 | − | 0.196222i | ||||
\(638\) | 3.36731 | + | 5.83236i | 0.133313 | + | 0.230905i | ||||
\(639\) | −3.62724 | + | 6.28256i | −0.143491 | + | 0.248534i | ||||
\(640\) | −6.83729 | − | 11.8425i | −0.270268 | − | 0.468117i | ||||
\(641\) | 13.1940 | + | 22.8527i | 0.521132 | + | 0.902628i | 0.999698 | + | 0.0245760i | \(0.00782357\pi\) |
−0.478566 | + | 0.878052i | \(0.658843\pi\) | |||||||
\(642\) | 4.17516 | + | 7.23159i | 0.164780 | + | 0.285408i | ||||
\(643\) | −45.7510 | −1.80425 | −0.902123 | − | 0.431480i | \(-0.857992\pi\) | ||||
−0.902123 | + | 0.431480i | \(0.857992\pi\) | |||||||
\(644\) | 1.48431 | − | 2.57089i | 0.0584898 | − | 0.101307i | ||||
\(645\) | −2.97374 | + | 5.15067i | −0.117091 | + | 0.202808i | ||||
\(646\) | −1.65654 | − | 2.86921i | −0.0651756 | − | 0.112888i | ||||
\(647\) | 19.9093 | 0.782715 | 0.391358 | − | 0.920239i | \(-0.372006\pi\) | ||||
0.391358 | + | 0.920239i | \(0.372006\pi\) | |||||||
\(648\) | 6.07792 | − | 10.5273i | 0.238763 | − | 0.413550i | ||||
\(649\) | 8.33123 | 0.327029 | ||||||||
\(650\) | 0.677943 | 0.0265911 | ||||||||
\(651\) | −10.3260 | + | 6.43516i | −0.404707 | + | 0.252214i | ||||
\(652\) | −13.1871 | −0.516445 | ||||||||
\(653\) | −45.8704 | −1.79505 | −0.897523 | − | 0.440968i | \(-0.854635\pi\) | ||||
−0.897523 | + | 0.440968i | \(0.854635\pi\) | |||||||
\(654\) | 5.66842 | − | 9.81799i | 0.221653 | − | 0.383914i | ||||
\(655\) | −29.1947 | −1.14073 | ||||||||
\(656\) | 3.01446 | + | 5.22119i | 0.117695 | + | 0.203853i | ||||
\(657\) | −5.57082 | + | 9.64894i | −0.217338 | + | 0.376441i | ||||
\(658\) | −1.28702 | + | 2.22919i | −0.0501733 | + | 0.0869027i | ||||
\(659\) | 26.7938 | 1.04374 | 0.521868 | − | 0.853026i | \(-0.325235\pi\) | ||||
0.521868 | + | 0.853026i | \(0.325235\pi\) | |||||||
\(660\) | 8.50452 | + | 14.7303i | 0.331038 | + | 0.573375i | ||||
\(661\) | −2.62929 | − | 4.55406i | −0.102267 | − | 0.177132i | 0.810351 | − | 0.585945i | \(-0.199276\pi\) |
−0.912618 | + | 0.408812i | \(0.865943\pi\) | |||||||
\(662\) | −3.06964 | − | 5.31676i | −0.119305 | − | 0.206642i | ||||
\(663\) | −1.34562 | + | 2.33068i | −0.0522594 | + | 0.0905159i | ||||
\(664\) | −6.58775 | − | 11.4103i | −0.255654 | − | 0.442806i | ||||
\(665\) | 7.54620 | − | 13.0704i | 0.292629 | − | 0.506848i | ||||
\(666\) | 0.403805 | 0.0156471 | ||||||||
\(667\) | 11.2453 | 0.435418 | ||||||||
\(668\) | −1.96739 | + | 3.40763i | −0.0761208 | + | 0.131845i | ||||
\(669\) | −12.6499 | − | 21.9103i | −0.489075 | − | 0.847103i | ||||
\(670\) | 1.70962 | − | 2.96115i | 0.0660484 | − | 0.114399i | ||||
\(671\) | −2.43633 | − | 4.21985i | −0.0940535 | − | 0.162906i | ||||
\(672\) | 3.60772 | + | 6.24875i | 0.139171 | + | 0.241051i | ||||
\(673\) | 15.2603 | + | 26.4316i | 0.588240 | + | 1.01886i | 0.994463 | + | 0.105088i | \(0.0335124\pi\) |
−0.406223 | + | 0.913774i | \(0.633154\pi\) | |||||||
\(674\) | −3.24975 | −0.125176 | ||||||||
\(675\) | −5.10353 | + | 8.83958i | −0.196435 | + | 0.340236i | ||||
\(676\) | 0.957517 | − | 1.65847i | 0.0368276 | − | 0.0637872i | ||||
\(677\) | −24.8548 | − | 43.0498i | −0.955247 | − | 1.65454i | −0.733802 | − | 0.679364i | \(-0.762256\pi\) |
−0.221446 | − | 0.975173i | \(-0.571078\pi\) | |||||||
\(678\) | 0.965283 | 0.0370715 | ||||||||
\(679\) | −9.41256 | + | 16.3030i | −0.361221 | + | 0.625653i | ||||
\(680\) | 2.60168 | 0.0997699 | ||||||||
\(681\) | −20.1607 | −0.772558 | ||||||||
\(682\) | 3.87525 | − | 2.41506i | 0.148391 | − | 0.0924776i | ||||
\(683\) | 45.0893 | 1.72529 | 0.862647 | − | 0.505806i | \(-0.168805\pi\) | ||||
0.862647 | + | 0.505806i | \(0.168805\pi\) | |||||||
\(684\) | 11.3444 | 0.433764 | ||||||||
\(685\) | 10.8572 | − | 18.8052i | 0.414832 | − | 0.718511i | ||||
\(686\) | 4.19673 | 0.160232 | ||||||||
\(687\) | 2.15872 | + | 3.73901i | 0.0823603 | + | 0.142652i | ||||
\(688\) | −3.29455 | + | 5.70633i | −0.125604 | + | 0.217552i | ||||
\(689\) | −6.20206 | + | 10.7423i | −0.236280 | + | 0.409248i | ||||
\(690\) | −1.26011 | −0.0479716 | ||||||||
\(691\) | −5.02895 | − | 8.71039i | −0.191310 | − | 0.331359i | 0.754375 | − | 0.656444i | \(-0.227940\pi\) |
−0.945685 | + | 0.325085i | \(0.894607\pi\) | |||||||
\(692\) | 5.48850 | + | 9.50636i | 0.208641 | + | 0.361378i | ||||
\(693\) | −1.15707 | − | 2.00411i | −0.0439535 | − | 0.0761297i | ||||
\(694\) | 4.01513 | − | 6.95441i | 0.152412 | − | 0.263986i | ||||
\(695\) | −6.90489 | − | 11.9596i | −0.261917 | − | 0.453654i | ||||
\(696\) | −9.04537 | + | 15.6670i | −0.342864 | + | 0.593858i | ||||
\(697\) | −2.40318 | −0.0910269 | ||||||||
\(698\) | −6.64853 | −0.251651 | ||||||||
\(699\) | 14.9704 | − | 25.9295i | 0.566233 | − | 0.980744i | ||||
\(700\) | −2.52094 | − | 4.36640i | −0.0952826 | − | 0.165034i | ||||
\(701\) | 10.5481 | − | 18.2698i | 0.398395 | − | 0.690041i | −0.595133 | − | 0.803627i | \(-0.702901\pi\) |
0.993528 | + | 0.113586i | \(0.0362339\pi\) | |||||||
\(702\) | −0.639628 | − | 1.10787i | −0.0241412 | − | 0.0418138i | ||||
\(703\) | −7.77204 | − | 13.4616i | −0.293128 | − | 0.507712i | ||||
\(704\) | 8.48608 | + | 14.6983i | 0.319831 | + | 0.553964i | ||||
\(705\) | −24.6262 | −0.927477 | ||||||||
\(706\) | −1.94910 | + | 3.37594i | −0.0733554 | + | 0.127055i | ||||
\(707\) | −2.15698 | + | 3.73600i | −0.0811217 | + | 0.140507i | ||||
\(708\) | 5.47347 | + | 9.48033i | 0.205706 | + | 0.356293i | ||||
\(709\) | 46.8510 | 1.75953 | 0.879763 | − | 0.475413i | \(-0.157701\pi\) | ||||
0.879763 | + | 0.475413i | \(0.157701\pi\) | |||||||
\(710\) | 2.37961 | − | 4.12160i | 0.0893052 | − | 0.154681i | ||||
\(711\) | 5.99260 | 0.224740 | ||||||||
\(712\) | −5.76121 | −0.215911 | ||||||||
\(713\) | −0.256942 | − | 7.62015i | −0.00962257 | − | 0.285377i | ||||
\(714\) | −0.888022 | −0.0332334 | ||||||||
\(715\) | 4.60095 | 0.172066 | ||||||||
\(716\) | 13.3970 | − | 23.2042i | 0.500668 | − | 0.867182i | ||||
\(717\) | −20.9264 | −0.781510 | ||||||||
\(718\) | 0.250362 | + | 0.433639i | 0.00934342 | + | 0.0161833i | ||||
\(719\) | −23.4679 | + | 40.6476i | −0.875206 | + | 1.51590i | −0.0186624 | + | 0.999826i | \(0.505941\pi\) |
−0.856543 | + | 0.516075i | \(0.827393\pi\) | |||||||
\(720\) | −2.07783 | + | 3.59891i | −0.0774362 | + | 0.134123i | ||||
\(721\) | −14.4700 | −0.538889 | ||||||||
\(722\) | 6.91848 | + | 11.9832i | 0.257479 | + | 0.445967i | ||||
\(723\) | −9.87627 | − | 17.1062i | −0.367302 | − | 0.636186i | ||||
\(724\) | 5.12728 | + | 8.88071i | 0.190554 | + | 0.330049i | ||||
\(725\) | 9.54945 | − | 16.5401i | 0.354658 | − | 0.614285i | ||||
\(726\) | −0.867735 | − | 1.50296i | −0.0322047 | − | 0.0557801i | ||||
\(727\) | 6.30816 | − | 10.9261i | 0.233957 | − | 0.405225i | −0.725012 | − | 0.688736i | \(-0.758166\pi\) |
0.958969 | + | 0.283511i | \(0.0914993\pi\) | |||||||
\(728\) | 1.29184 | 0.0478787 | ||||||||
\(729\) | 17.6766 | 0.654687 | ||||||||
\(730\) | 3.65467 | − | 6.33008i | 0.135266 | − | 0.234287i | ||||
\(731\) | −1.31324 | − | 2.27460i | −0.0485719 | − | 0.0841290i | ||||
\(732\) | 3.20126 | − | 5.54474i | 0.118322 | − | 0.204939i | ||||
\(733\) | −9.01199 | − | 15.6092i | −0.332865 | − | 0.576540i | 0.650207 | − | 0.759757i | \(-0.274682\pi\) |
−0.983072 | + | 0.183217i | \(0.941349\pi\) | |||||||
\(734\) | 0.411610 | + | 0.712929i | 0.0151928 | + | 0.0263147i | ||||
\(735\) | 9.02635 | + | 15.6341i | 0.332942 | + | 0.576672i | ||||
\(736\) | −4.52155 | −0.166667 | ||||||||
\(737\) | −10.0908 | + | 17.4777i | −0.371699 | + | 0.643801i | ||||
\(738\) | −0.182549 | + | 0.316185i | −0.00671973 | + | 0.0116389i | ||||
\(739\) | −9.68707 | − | 16.7785i | −0.356345 | − | 0.617207i | 0.631002 | − | 0.775781i | \(-0.282644\pi\) |
−0.987347 | + | 0.158574i | \(0.949310\pi\) | |||||||
\(740\) | 5.97074 | 0.219489 | ||||||||
\(741\) | 7.86933 | − | 13.6301i | 0.289087 | − | 0.500714i | ||||
\(742\) | −4.09297 | −0.150258 | ||||||||
\(743\) | −3.68643 | −0.135242 | −0.0676210 | − | 0.997711i | \(-0.521541\pi\) | ||||
−0.0676210 | + | 0.997711i | \(0.521541\pi\) | |||||||
\(744\) | 10.8232 | + | 5.77146i | 0.396797 | + | 0.211592i | ||||
\(745\) | 5.57722 | 0.204334 | ||||||||
\(746\) | −9.25665 | −0.338910 | ||||||||
\(747\) | −4.19441 | + | 7.26493i | −0.153465 | + | 0.265810i | ||||
\(748\) | −7.51138 | −0.274643 | ||||||||
\(749\) | −8.39924 | − | 14.5479i | −0.306901 | − | 0.531569i | ||||
\(750\) | −3.37057 | + | 5.83800i | −0.123076 | + | 0.213174i | ||||
\(751\) | 6.66112 | − | 11.5374i | 0.243068 | − | 0.421006i | −0.718519 | − | 0.695507i | \(-0.755180\pi\) |
0.961587 | + | 0.274502i | \(0.0885130\pi\) | |||||||
\(752\) | −27.2829 | −0.994905 | ||||||||
\(753\) | 13.5095 | + | 23.3991i | 0.492313 | + | 0.852711i | ||||
\(754\) | 1.19684 | + | 2.07298i | 0.0435862 | + | 0.0754935i | ||||
\(755\) | −1.15582 | − | 2.00193i | −0.0420645 | − | 0.0728578i | ||||
\(756\) | −4.75693 | + | 8.23924i | −0.173008 | + | 0.299658i | ||||
\(757\) | −2.09062 | − | 3.62106i | −0.0759848 | − | 0.131610i | 0.825529 | − | 0.564359i | \(-0.190877\pi\) |
−0.901514 | + | 0.432750i | \(0.857543\pi\) | |||||||
\(758\) | 1.20850 | − | 2.09318i | 0.0438947 | − | 0.0760279i | ||||
\(759\) | 7.43762 | 0.269969 | ||||||||
\(760\) | −15.2150 | −0.551904 | ||||||||
\(761\) | −11.2827 | + | 19.5422i | −0.408997 | + | 0.708404i | −0.994778 | − | 0.102066i | \(-0.967455\pi\) |
0.585780 | + | 0.810470i | \(0.300788\pi\) | |||||||
\(762\) | −1.28274 | − | 2.22177i | −0.0464689 | − | 0.0804864i | ||||
\(763\) | −11.4033 | + | 19.7510i | −0.412826 | + | 0.715035i | ||||
\(764\) | 20.2047 | + | 34.9956i | 0.730980 | + | 1.26609i | ||||
\(765\) | −0.828243 | − | 1.43456i | −0.0299452 | − | 0.0518666i | ||||
\(766\) | 3.37936 | + | 5.85322i | 0.122101 | + | 0.211485i | ||||
\(767\) | 2.96115 | 0.106921 | ||||||||
\(768\) | −9.29244 | + | 16.0950i | −0.335312 | + | 0.580777i | ||||
\(769\) | −1.72255 | + | 2.98354i | −0.0621166 | + | 0.107589i | −0.895411 | − | 0.445240i | \(-0.853118\pi\) |
0.833295 | + | 0.552829i | \(0.186452\pi\) | |||||||
\(770\) | 0.759084 | + | 1.31477i | 0.0273555 | + | 0.0473811i | ||||
\(771\) | −34.5395 | −1.24391 | ||||||||
\(772\) | −1.65748 | + | 2.87084i | −0.0596541 | + | 0.103324i | ||||
\(773\) | 0.757611 | 0.0272494 | 0.0136247 | − | 0.999907i | \(-0.495663\pi\) | ||||
0.0136247 | + | 0.999907i | \(0.495663\pi\) | |||||||
\(774\) | −0.399022 | −0.0143426 | ||||||||
\(775\) | −11.4263 | − | 6.09309i | −0.410446 | − | 0.218870i | ||||
\(776\) | 18.9780 | 0.681270 | ||||||||
\(777\) | −4.16636 | −0.149467 | ||||||||
\(778\) | 2.11195 | − | 3.65800i | 0.0757169 | − | 0.131146i | ||||
\(779\) | 14.0541 | 0.503540 | ||||||||
\(780\) | 3.02274 | + | 5.23554i | 0.108232 | + | 0.187463i | ||||
\(781\) | −14.0453 | + | 24.3272i | −0.502580 | + | 0.870494i | ||||
\(782\) | 0.278240 | − | 0.481925i | 0.00994983 | − | 0.0172336i | ||||
\(783\) | −36.0390 | −1.28793 | ||||||||
\(784\) | 10.0001 | + | 17.3207i | 0.357147 | + | 0.618596i | ||||
\(785\) | 4.21934 | + | 7.30810i | 0.150595 | + | 0.260837i | ||||
\(786\) | −5.02292 | − | 8.69996i | −0.179162 | − | 0.310317i | ||||
\(787\) | 0.895768 | − | 1.55151i | 0.0319307 | − | 0.0553055i | −0.849618 | − | 0.527398i | \(-0.823168\pi\) |
0.881549 | + | 0.472092i | \(0.156501\pi\) | |||||||
\(788\) | −1.24074 | − | 2.14903i | −0.0441996 | − | 0.0765559i | ||||
\(789\) | −0.544990 | + | 0.943950i | −0.0194022 | + | 0.0336055i | ||||
\(790\) | −3.93138 | −0.139872 | ||||||||
\(791\) | −1.94188 | −0.0690451 | ||||||||
\(792\) | −1.16647 | + | 2.02038i | −0.0414486 | + | 0.0717912i | ||||
\(793\) | −0.865940 | − | 1.49985i | −0.0307504 | − | 0.0532613i | ||||
\(794\) | −1.23951 | + | 2.14690i | −0.0439886 | + | 0.0761905i | ||||
\(795\) | −19.5790 | − | 33.9118i | −0.694396 | − | 1.20273i | ||||
\(796\) | 22.1989 | + | 38.4495i | 0.786817 | + | 1.36281i | ||||
\(797\) | 10.7412 | + | 18.6043i | 0.380473 | + | 0.658999i | 0.991130 | − | 0.132896i | \(-0.0424278\pi\) |
−0.610657 | + | 0.791895i | \(0.709094\pi\) | |||||||
\(798\) | 5.19327 | 0.183840 | ||||||||
\(799\) | 5.43761 | − | 9.41821i | 0.192369 | − | 0.333192i | ||||
\(800\) | −3.83969 | + | 6.65055i | −0.135754 | + | 0.235132i | ||||
\(801\) | 1.83408 | + | 3.17671i | 0.0648039 | + | 0.112244i | ||||
\(802\) | 6.63932 | 0.234442 | ||||||||
\(803\) | −21.5712 | + | 37.3624i | −0.761230 | + | 1.31849i | ||||
\(804\) | −26.5179 | −0.935213 | ||||||||
\(805\) | 2.53499 | 0.0893465 | ||||||||
\(806\) | 1.37737 | − | 0.858381i | 0.0485159 | − | 0.0302352i | ||||
\(807\) | 56.9533 | 2.00485 | ||||||||
\(808\) | 4.34900 | 0.152997 | ||||||||
\(809\) | −25.1129 | + | 43.4969i | −0.882923 | + | 1.52927i | −0.0348480 | + | 0.999393i | \(0.511095\pi\) |
−0.848075 | + | 0.529876i | \(0.822239\pi\) | |||||||
\(810\) | 5.07748 | 0.178405 | ||||||||
\(811\) | −23.2923 | − | 40.3435i | −0.817904 | − | 1.41665i | −0.907224 | − | 0.420649i | \(-0.861803\pi\) |
0.0893194 | − | 0.996003i | \(-0.471531\pi\) | |||||||
\(812\) | 8.90090 | − | 15.4168i | 0.312360 | − | 0.541024i | ||||
\(813\) | 4.23378 | − | 7.33312i | 0.148485 | − | 0.257184i | ||||
\(814\) | 1.56360 | 0.0548043 | ||||||||
\(815\) | −5.63042 | − | 9.75217i | −0.197225 | − | 0.341604i | ||||
\(816\) | −4.70618 | − | 8.15135i | −0.164749 | − | 0.285354i | ||||
\(817\) | 7.67998 | + | 13.3021i | 0.268689 | + | 0.465382i | ||||
\(818\) | 3.31157 | − | 5.73580i | 0.115786 | − | 0.200548i | ||||
\(819\) | −0.411256 | − | 0.712315i | −0.0143704 | − | 0.0248903i | ||||
\(820\) | −2.69921 | + | 4.67517i | −0.0942604 | + | 0.163264i | ||||
\(821\) | 17.4667 | 0.609591 | 0.304796 | − | 0.952418i | \(-0.401412\pi\) | ||||
0.304796 | + | 0.952418i | \(0.401412\pi\) | |||||||
\(822\) | 7.47189 | 0.260612 | ||||||||
\(823\) | −18.2339 | + | 31.5820i | −0.635594 | + | 1.10088i | 0.350795 | + | 0.936452i | \(0.385911\pi\) |
−0.986389 | + | 0.164429i | \(0.947422\pi\) | |||||||
\(824\) | 7.29373 | + | 12.6331i | 0.254089 | + | 0.440095i | ||||
\(825\) | 6.31602 | − | 10.9397i | 0.219895 | − | 0.380870i | ||||
\(826\) | 0.488543 | + | 0.846182i | 0.0169986 | + | 0.0294424i | ||||
\(827\) | 9.06299 | + | 15.6976i | 0.315151 | + | 0.545858i | 0.979470 | − | 0.201592i | \(-0.0646114\pi\) |
−0.664318 | + | 0.747450i | \(0.731278\pi\) | |||||||
\(828\) | 0.952729 | + | 1.65018i | 0.0331096 | + | 0.0573476i | ||||
\(829\) | 38.6065 | 1.34086 | 0.670429 | − | 0.741974i | \(-0.266110\pi\) | ||||
0.670429 | + | 0.741974i | \(0.266110\pi\) | |||||||
\(830\) | 2.75169 | − | 4.76607i | 0.0955127 | − | 0.165433i | ||||
\(831\) | 11.3674 | − | 19.6890i | 0.394332 | − | 0.683003i | ||||
\(832\) | 3.01619 | + | 5.22419i | 0.104567 | + | 0.181116i | ||||
\(833\) | −7.97228 | −0.276223 | ||||||||
\(834\) | 2.37596 | − | 4.11528i | 0.0822728 | − | 0.142501i | ||||
\(835\) | −3.36004 | −0.116279 | ||||||||
\(836\) | 43.9275 | 1.51926 | ||||||||
\(837\) | 0.823453 | + | 24.4212i | 0.0284627 | + | 0.844120i | ||||
\(838\) | −1.45181 | −0.0501519 | ||||||||
\(839\) | 16.7944 | 0.579806 | 0.289903 | − | 0.957056i | \(-0.406377\pi\) | ||||
0.289903 | + | 0.957056i | \(0.406377\pi\) | |||||||
\(840\) | −2.03907 | + | 3.53178i | −0.0703548 | + | 0.121858i | ||||
\(841\) | 38.4341 | 1.32532 | ||||||||
\(842\) | −3.29041 | − | 5.69916i | −0.113395 | − | 0.196406i | ||||
\(843\) | 6.27615 | − | 10.8706i | 0.216162 | − | 0.374403i | ||||
\(844\) | −13.3408 | + | 23.1069i | −0.459208 | + | 0.795372i | ||||
\(845\) | 1.63530 | 0.0562562 | ||||||||
\(846\) | −0.826098 | − | 1.43084i | −0.0284018 | − | 0.0491934i | ||||
\(847\) | 1.74564 | + | 3.02353i | 0.0599808 | + | 0.103890i | ||||
\(848\) | −21.6912 | − | 37.5702i | −0.744879 | − | 1.29017i | ||||
\(849\) | 1.44487 | − | 2.50258i | 0.0495877 | − | 0.0858885i | ||||
\(850\) | −0.472561 | − | 0.818500i | −0.0162087 | − | 0.0280743i | ||||
\(851\) | 1.30543 | − | 2.26106i | 0.0447494 | − | 0.0775083i | ||||
\(852\) | −36.9100 | −1.26452 | ||||||||
\(853\) | −30.0012 | −1.02722 | −0.513610 | − | 0.858024i | \(-0.671692\pi\) | ||||
−0.513610 | + | 0.858024i | \(0.671692\pi\) | |||||||
\(854\) | 0.285733 | − | 0.494904i | 0.00977758 | − | 0.0169353i | ||||
\(855\) | 4.84367 | + | 8.38948i | 0.165650 | + | 0.286914i | ||||
\(856\) | −8.46744 | + | 14.6660i | −0.289411 | + | 0.501275i | ||||
\(857\) | 15.9138 | + | 27.5636i | 0.543607 | + | 0.941554i | 0.998693 | + | 0.0511070i | \(0.0162750\pi\) |
−0.455087 | + | 0.890447i | \(0.650392\pi\) | |||||||
\(858\) | 0.791589 | + | 1.37107i | 0.0270244 | + | 0.0468076i | ||||
\(859\) | 17.2106 | + | 29.8097i | 0.587219 | + | 1.01709i | 0.994595 | + | 0.103833i | \(0.0331108\pi\) |
−0.407375 | + | 0.913261i | \(0.633556\pi\) | |||||||
\(860\) | −5.90002 | −0.201189 | ||||||||
\(861\) | 1.88350 | − | 3.26232i | 0.0641895 | − | 0.111179i | ||||
\(862\) | 2.02567 | − | 3.50857i | 0.0689947 | − | 0.119502i | ||||
\(863\) | 12.8493 | + | 22.2556i | 0.437395 | + | 0.757590i | 0.997488 | − | 0.0708399i | \(-0.0225679\pi\) |
−0.560093 | + | 0.828430i | \(0.689235\pi\) | |||||||
\(864\) | 14.4908 | 0.492985 | ||||||||
\(865\) | −4.68680 | + | 8.11777i | −0.159356 | + | 0.276012i | ||||
\(866\) | 3.86165 | 0.131224 | ||||||||
\(867\) | −29.0656 | −0.987120 | ||||||||
\(868\) | −10.6503 | − | 5.67928i | −0.361495 | − | 0.192767i | ||||
\(869\) | 23.2044 | 0.787155 | ||||||||
\(870\) | −7.55648 | −0.256189 | ||||||||
\(871\) | −3.58654 | + | 6.21208i | −0.121525 | + | 0.210488i | ||||
\(872\) | 22.9917 | 0.778598 | ||||||||
\(873\) | −6.04163 | − | 10.4644i | −0.204478 | − | 0.354166i | ||||
\(874\) | −1.62718 | + | 2.81836i | −0.0550402 | + | 0.0953324i | ||||
\(875\) | 6.78063 | − | 11.7444i | 0.229227 | − | 0.397033i | ||||
\(876\) | −56.6875 | −1.91529 | ||||||||
\(877\) | −14.2678 | − | 24.7126i | −0.481790 | − | 0.834485i | 0.517991 | − | 0.855386i | \(-0.326680\pi\) |
−0.999782 | + | 0.0209007i | \(0.993347\pi\) | |||||||
\(878\) | 2.55801 | + | 4.43061i | 0.0863287 | + | 0.149526i | ||||
\(879\) | 2.77983 | + | 4.81481i | 0.0937615 | + | 0.162400i | ||||
\(880\) | −8.04572 | + | 13.9356i | −0.271221 | + | 0.469769i | ||||
\(881\) | −10.3155 | − | 17.8670i | −0.347539 | − | 0.601956i | 0.638272 | − | 0.769811i | \(-0.279649\pi\) |
−0.985812 | + | 0.167855i | \(0.946316\pi\) | |||||||
\(882\) | −0.605586 | + | 1.04891i | −0.0203912 | + | 0.0353185i | ||||
\(883\) | 7.77337 | 0.261595 | 0.130797 | − | 0.991409i | \(-0.458246\pi\) | ||||
0.130797 | + | 0.991409i | \(0.458246\pi\) | |||||||
\(884\) | −2.66975 | −0.0897936 | ||||||||
\(885\) | −4.67396 | + | 8.09554i | −0.157114 | + | 0.272129i | ||||
\(886\) | −3.22806 | − | 5.59116i | −0.108449 | − | 0.187839i | ||||
\(887\) | 18.9906 | − | 32.8927i | 0.637642 | − | 1.10443i | −0.348306 | − | 0.937381i | \(-0.613243\pi\) |
0.985949 | − | 0.167048i | \(-0.0534236\pi\) | |||||||
\(888\) | 2.10010 | + | 3.63748i | 0.0704747 | + | 0.122066i | ||||
\(889\) | 2.58051 | + | 4.46958i | 0.0865476 | + | 0.149905i | ||||
\(890\) | −1.20323 | − | 2.08405i | −0.0403322 | − | 0.0698574i | ||||
\(891\) | −29.9691 | −1.00400 | ||||||||
\(892\) | 12.5490 | − | 21.7355i | 0.420171 | − | 0.727758i | ||||
\(893\) | −31.7998 | + | 55.0789i | −1.06414 | + | 1.84314i | ||||
\(894\) | 0.959556 | + | 1.66200i | 0.0320923 | + | 0.0555856i | ||||
\(895\) | 22.8801 | 0.764798 | ||||||||
\(896\) | −4.73296 | + | 8.19773i | −0.158117 | + | 0.273867i | ||||
\(897\) | 2.64354 | 0.0882651 | ||||||||
\(898\) | 3.09257 | 0.103200 | ||||||||
\(899\) | −1.54080 | − | 45.6956i | −0.0513886 | − | 1.52403i | ||||
\(900\) | 3.23622 | 0.107874 | ||||||||
\(901\) | 17.2926 | 0.576101 | ||||||||
\(902\) | −0.706862 | + | 1.22432i | −0.0235359 | + | 0.0407655i | ||||
\(903\) | 4.11702 | 0.137006 | ||||||||
\(904\) | 0.978822 | + | 1.69537i | 0.0325551 | + | 0.0563872i | ||||
\(905\) | −4.37834 | + | 7.58351i | −0.145541 | + | 0.252084i | ||||
\(906\) | 0.397715 | − | 0.688862i | 0.0132132 | − | 0.0228859i | ||||
\(907\) | −16.9654 | −0.563328 | −0.281664 | − | 0.959513i | \(-0.590886\pi\) | ||||
−0.281664 | + | 0.959513i | \(0.590886\pi\) | |||||||
\(908\) | −9.99988 | − | 17.3203i | −0.331858 | − | 0.574794i | ||||
\(909\) | −1.38450 | − | 2.39802i | −0.0459209 | − | 0.0795374i | ||||
\(910\) | 0.269800 | + | 0.467307i | 0.00894377 | + | 0.0154911i | ||||
\(911\) | 19.5816 | − | 33.9164i | 0.648769 | − | 1.12370i | −0.334649 | − | 0.942343i | \(-0.608618\pi\) |
0.983417 | − | 0.181357i | \(-0.0580490\pi\) | |||||||
\(912\) | 27.5223 | + | 47.6701i | 0.911356 | + | 1.57851i | ||||
\(913\) | −16.2415 | + | 28.1311i | −0.537514 | + | 0.931002i | ||||
\(914\) | −5.52105 | −0.182620 | ||||||||
\(915\) | 5.46730 | 0.180743 | ||||||||
\(916\) | −2.14149 | + | 3.70917i | −0.0707568 | + | 0.122554i | ||||
\(917\) | 10.1047 | + | 17.5018i | 0.333686 | + | 0.577962i | ||||
\(918\) | −0.891708 | + | 1.54448i | −0.0294307 | + | 0.0509755i | ||||
\(919\) | −12.0832 | − | 20.9287i | −0.398587 | − | 0.690373i | 0.594965 | − | 0.803752i | \(-0.297166\pi\) |
−0.993552 | + | 0.113379i | \(0.963833\pi\) | |||||||
\(920\) | −1.27779 | − | 2.21319i | −0.0421274 | − | 0.0729667i | ||||
\(921\) | −12.3014 | − | 21.3066i | −0.405345 | − | 0.702078i | ||||
\(922\) | −1.19041 | −0.0392040 | ||||||||
\(923\) | −4.99209 | + | 8.64655i | −0.164317 | + | 0.284605i | ||||
\(924\) | 5.88707 | − | 10.1967i | 0.193670 | − | 0.335447i | ||||
\(925\) | −2.21713 | − | 3.84018i | −0.0728988 | − | 0.126264i | ||||
\(926\) | −8.99229 | −0.295505 | ||||||||
\(927\) | 4.64391 | − | 8.04348i | 0.152526 | − | 0.264183i | ||||
\(928\) | −27.1143 | −0.890070 | ||||||||
\(929\) | −57.8571 | −1.89823 | −0.949116 | − | 0.314928i | \(-0.898020\pi\) | ||||
−0.949116 | + | 0.314928i | \(0.898020\pi\) | |||||||
\(930\) | 0.172658 | + | 5.12052i | 0.00566167 | + | 0.167908i | ||||
\(931\) | 46.6229 | 1.52800 | ||||||||
\(932\) | 29.7019 | 0.972916 | ||||||||
\(933\) | 18.0488 | − | 31.2614i | 0.590890 | − | 1.02345i | ||||
\(934\) | −10.7846 | −0.352884 | ||||||||
\(935\) | −3.20710 | − | 5.55486i | −0.104883 | − | 0.181663i | ||||
\(936\) | −0.414595 | + | 0.718100i | −0.0135515 | + | 0.0234718i | ||||
\(937\) | 24.3080 | − | 42.1026i | 0.794107 | − | 1.37543i | −0.129298 | − | 0.991606i | \(-0.541272\pi\) |
0.923405 | − | 0.383828i | \(-0.125394\pi\) | |||||||
\(938\) | −2.36689 | −0.0772818 | ||||||||
\(939\) | −17.6936 | − | 30.6463i | −0.577410 | − | 1.00010i | ||||
\(940\) | −12.2148 | − | 21.1567i | −0.398404 | − | 0.690056i | ||||
\(941\) | −5.76439 | − | 9.98421i | −0.187914 | − | 0.325476i | 0.756641 | − | 0.653831i | \(-0.226839\pi\) |
−0.944554 | + | 0.328355i | \(0.893506\pi\) | |||||||
\(942\) | −1.45187 | + | 2.51471i | −0.0473043 | + | 0.0819335i | ||||
\(943\) | 1.18029 | + | 2.04433i | 0.0384357 | + | 0.0665726i | ||||
\(944\) | −5.17819 | + | 8.96888i | −0.168536 | + | 0.291912i | ||||
\(945\) | −8.12417 | −0.264279 | ||||||||
\(946\) | −1.54508 | −0.0502350 | ||||||||
\(947\) | 15.4749 | − | 26.8033i | 0.502867 | − | 0.870990i | −0.497128 | − | 0.867677i | \(-0.665612\pi\) |
0.999995 | − | 0.00331313i | \(-0.00105460\pi\) | |||||||
\(948\) | 15.2449 | + | 26.4049i | 0.495131 | + | 0.857591i | ||||
\(949\) | −7.66699 | + | 13.2796i | −0.248881 | + | 0.431075i | ||||
\(950\) | 2.76360 | + | 4.78669i | 0.0896630 | + | 0.155301i | ||||
\(951\) | 26.7717 | + | 46.3699i | 0.868132 | + | 1.50365i | ||||
\(952\) | −0.900478 | − | 1.55967i | −0.0291847 | − | 0.0505493i | ||||
\(953\) | 17.1203 | 0.554582 | 0.277291 | − | 0.960786i | \(-0.410563\pi\) | ||||
0.277291 | + | 0.960786i | \(0.410563\pi\) | |||||||
\(954\) | 1.31357 | − | 2.27518i | 0.0425285 | − | 0.0736616i | ||||
\(955\) | −17.2534 | + | 29.8838i | −0.558307 | + | 0.967016i | ||||
\(956\) | −10.3797 | − | 17.9781i | −0.335703 | − | 0.581455i | ||||
\(957\) | 44.6010 | 1.44175 | ||||||||
\(958\) | 4.81085 | − | 8.33263i | 0.155431 | − | 0.269215i | ||||
\(959\) | −15.0313 | −0.485386 | ||||||||
\(960\) | −19.0433 | −0.614621 | ||||||||
\(961\) | −30.9296 | + | 2.08819i | −0.997729 | + | 0.0673610i | ||||
\(962\) | 0.555748 | 0.0179180 | ||||||||
\(963\) | 10.7824 | 0.347458 | ||||||||
\(964\) | 9.79744 | − | 16.9697i | 0.315554 | − | 0.546556i | ||||
\(965\) | −2.83075 | −0.0911250 | ||||||||
\(966\) | 0.436142 | + | 0.755421i | 0.0140326 | + | 0.0243053i | ||||
\(967\) | −8.02352 | + | 13.8971i | −0.258019 | + | 0.446902i | −0.965711 | − | 0.259619i | \(-0.916403\pi\) |
0.707692 | + | 0.706521i | \(0.249736\pi\) | |||||||
\(968\) | 1.75981 | − | 3.04808i | 0.0565625 | − | 0.0979692i | ||||
\(969\) | −21.9413 | −0.704857 | ||||||||
\(970\) | 3.96354 | + | 6.86506i | 0.127262 | + | 0.220424i | ||||
\(971\) | 22.1664 | + | 38.3933i | 0.711352 | + | 1.23210i | 0.964350 | + | 0.264631i | \(0.0852503\pi\) |
−0.252997 | + | 0.967467i | \(0.581416\pi\) | |||||||
\(972\) | −7.08251 | − | 12.2673i | −0.227172 | − | 0.393473i | ||||
\(973\) | −4.77976 | + | 8.27878i | −0.153232 | + | 0.265406i | ||||
\(974\) | 2.11981 | + | 3.67162i | 0.0679232 | + | 0.117646i | ||||
\(975\) | 2.24489 | − | 3.88826i | 0.0718939 | − | 0.124524i | ||||
\(976\) | 6.05711 | 0.193883 | ||||||||
\(977\) | −23.3962 | −0.748510 | −0.374255 | − | 0.927326i | \(-0.622102\pi\) | ||||
−0.374255 | + | 0.927326i | \(0.622102\pi\) | |||||||
\(978\) | 1.93742 | − | 3.35570i | 0.0619517 | − | 0.107304i | ||||
\(979\) | 7.10186 | + | 12.3008i | 0.226976 | + | 0.393135i | ||||
\(980\) | −8.95431 | + | 15.5093i | −0.286035 | + | 0.495427i | ||||
\(981\) | −7.31939 | − | 12.6776i | −0.233690 | − | 0.404763i | ||||
\(982\) | −3.73737 | − | 6.47331i | −0.119264 | − | 0.206572i | ||||
\(983\) | 9.74672 | + | 16.8818i | 0.310872 | + | 0.538446i | 0.978551 | − | 0.206003i | \(-0.0660456\pi\) |
−0.667679 | + | 0.744449i | \(0.732712\pi\) | |||||||
\(984\) | −3.79759 | −0.121063 | ||||||||
\(985\) | 1.05951 | − | 1.83512i | 0.0337587 | − | 0.0584718i | ||||
\(986\) | 1.66851 | − | 2.88995i | 0.0531363 | − | 0.0920348i | ||||
\(987\) | 8.52348 | + | 14.7631i | 0.271305 | + | 0.469915i | ||||
\(988\) | 15.6131 | 0.496718 | ||||||||
\(989\) | −1.28996 | + | 2.23428i | −0.0410185 | + | 0.0710461i | ||||
\(990\) | −0.974465 | −0.0309705 | ||||||||
\(991\) | −3.38191 | −0.107430 | −0.0537150 | − | 0.998556i | \(-0.517106\pi\) | ||||
−0.0537150 | + | 0.998556i | \(0.517106\pi\) | |||||||
\(992\) | 0.619533 | + | 18.3735i | 0.0196702 | + | 0.583360i | ||||
\(993\) | −40.6582 | −1.29025 | ||||||||
\(994\) | −3.29446 | −0.104494 | ||||||||
\(995\) | −18.9563 | + | 32.8332i | −0.600954 | + | 1.04088i | ||||
\(996\) | −42.6815 | −1.35241 | ||||||||
\(997\) | 18.0332 | + | 31.2344i | 0.571117 | + | 0.989204i | 0.996452 | + | 0.0841675i | \(0.0268231\pi\) |
−0.425335 | + | 0.905036i | \(0.639844\pi\) | |||||||
\(998\) | −3.73874 | + | 6.47569i | −0.118348 | + | 0.204984i | ||||
\(999\) | −4.18365 | + | 7.24630i | −0.132365 | + | 0.229263i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 403.2.h.b.222.8 | yes | 34 | |
31.25 | even | 3 | inner | 403.2.h.b.118.8 | ✓ | 34 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.h.b.118.8 | ✓ | 34 | 31.25 | even | 3 | inner | |
403.2.h.b.222.8 | yes | 34 | 1.1 | even | 1 | trivial |