Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [297,2,Mod(82,297)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(297, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("297.82");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 297 = 3^{3} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 297.f (of order \(5\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.37155694003\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 9x^{14} + 51x^{12} - 249x^{10} + 1476x^{8} - 2875x^{6} + 2335x^{4} + 125x^{2} + 25 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 136.2 | ||
Root | \(-1.35089 - 1.85934i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 297.136 |
Dual form | 297.2.f.b.190.2 |
$q$-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 \(\left(\mathbb{Z}/297\mathbb{Z}\right)^\times\).
\(n\) | \(56\) | \(244\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.255752 | − | 0.185814i | −0.180844 | − | 0.131391i | 0.493681 | − | 0.869643i | \(-0.335651\pi\) |
−0.674524 | + | 0.738253i | \(0.735651\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.587152 | − | 1.80707i | −0.293576 | − | 0.903534i | ||||
\(5\) | 3.28092 | − | 2.38373i | 1.46727 | − | 1.06603i | 0.485877 | − | 0.874027i | \(-0.338500\pi\) |
0.981393 | − | 0.192008i | \(-0.0614999\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.05386 | + | 3.24346i | 0.398323 | + | 1.22591i | 0.926343 | + | 0.376680i | \(0.122934\pi\) |
−0.528021 | + | 0.849231i | \(0.677066\pi\) | |||||||
\(8\) | −0.380991 | + | 1.17257i | −0.134701 | + | 0.414566i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −1.28203 | −0.405414 | ||||||||
\(11\) | −1.15551 | − | 3.10883i | −0.348400 | − | 0.937346i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.11803 | − | 0.812299i | −0.310087 | − | 0.225291i | 0.421847 | − | 0.906667i | \(-0.361382\pi\) |
−0.731934 | + | 0.681376i | \(0.761382\pi\) | |||||||
\(14\) | 0.333154 | − | 1.02534i | 0.0890391 | − | 0.274034i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −2.75905 | + | 2.00457i | −0.689762 | + | 0.501142i | ||||
\(17\) | 5.20368 | − | 3.78070i | 1.26208 | − | 0.916954i | 0.263221 | − | 0.964736i | \(-0.415215\pi\) |
0.998858 | + | 0.0477820i | \(0.0152153\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.07684 | + | 3.31419i | −0.247045 | + | 0.760326i | 0.748248 | + | 0.663419i | \(0.230895\pi\) |
−0.995293 | + | 0.0969076i | \(0.969105\pi\) | |||||||
\(20\) | −6.23395 | − | 4.52923i | −1.39395 | − | 1.01277i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.282141 | + | 1.00980i | −0.0601526 | + | 0.215290i | ||||
\(23\) | −3.73931 | −0.779700 | −0.389850 | − | 0.920878i | \(-0.627473\pi\) | ||||
−0.389850 | + | 0.920878i | \(0.627473\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 3.53718 | − | 10.8863i | 0.707437 | − | 2.17727i | ||||
\(26\) | 0.135002 | + | 0.415494i | 0.0264761 | + | 0.0814850i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 5.24237 | − | 3.80880i | 0.990715 | − | 0.719796i | ||||
\(29\) | 0.0230611 | + | 0.0709748i | 0.00428234 | + | 0.0131797i | 0.953175 | − | 0.302420i | \(-0.0977944\pi\) |
−0.948893 | + | 0.315599i | \(0.897794\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.02440 | + | 2.19736i | 0.543198 | + | 0.394657i | 0.825271 | − | 0.564736i | \(-0.191022\pi\) |
−0.282073 | + | 0.959393i | \(0.591022\pi\) | |||||||
\(32\) | 3.54393 | 0.626485 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −2.03336 | −0.348718 | ||||||||
\(35\) | 11.1891 | + | 8.12939i | 1.89131 | + | 1.37412i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −0.381966 | − | 1.17557i | −0.0627948 | − | 0.193263i | 0.914737 | − | 0.404049i | \(-0.132398\pi\) |
−0.977532 | + | 0.210787i | \(0.932398\pi\) | |||||||
\(38\) | 0.891228 | − | 0.647515i | 0.144576 | − | 0.105041i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 1.54508 | + | 4.75528i | 0.244299 | + | 0.751876i | ||||
\(41\) | −2.87964 | + | 8.86262i | −0.449724 | + | 1.38411i | 0.427494 | + | 0.904018i | \(0.359396\pi\) |
−0.877219 | + | 0.480091i | \(0.840604\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.456334 | −0.0695903 | −0.0347952 | − | 0.999394i | \(-0.511078\pi\) | ||||
−0.0347952 | + | 0.999394i | \(0.511078\pi\) | |||||||
\(44\) | −4.93940 | + | 3.91344i | −0.744643 | + | 0.589973i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.956334 | + | 0.694818i | 0.141004 | + | 0.102445i | ||||
\(47\) | 0.678546 | − | 2.08835i | 0.0989761 | − | 0.304617i | −0.889293 | − | 0.457337i | \(-0.848803\pi\) |
0.988270 | + | 0.152720i | \(0.0488033\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −3.74627 | + | 2.72182i | −0.535181 | + | 0.388832i | ||||
\(50\) | −2.92748 | + | 2.12694i | −0.414008 | + | 0.300794i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.811424 | + | 2.49731i | −0.112524 | + | 0.346314i | ||||
\(53\) | −0.729941 | − | 0.530333i | −0.100265 | − | 0.0728469i | 0.536523 | − | 0.843886i | \(-0.319737\pi\) |
−0.636788 | + | 0.771039i | \(0.719737\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −11.2017 | − | 7.44538i | −1.51044 | − | 1.00393i | ||||
\(56\) | −4.20469 | −0.561876 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0.00729022 | − | 0.0224370i | 0.000957253 | − | 0.00294612i | ||||
\(59\) | 2.47885 | + | 7.62911i | 0.322718 | + | 0.993225i | 0.972460 | + | 0.233070i | \(0.0748771\pi\) |
−0.649742 | + | 0.760155i | \(0.725123\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −4.66942 | + | 3.39253i | −0.597858 | + | 0.434369i | −0.845118 | − | 0.534580i | \(-0.820470\pi\) |
0.247260 | + | 0.968949i | \(0.420470\pi\) | |||||||
\(62\) | −0.365195 | − | 1.12395i | −0.0463798 | − | 0.142742i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 4.61173 | + | 3.35062i | 0.576466 | + | 0.418827i | ||||
\(65\) | −5.60448 | −0.695150 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −5.85410 | −0.715192 | −0.357596 | − | 0.933876i | \(-0.616404\pi\) | ||||
−0.357596 | + | 0.933876i | \(0.616404\pi\) | |||||||
\(68\) | −9.88733 | − | 7.18357i | −1.19901 | − | 0.871135i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −1.35108 | − | 4.15821i | −0.161485 | − | 0.497001i | ||||
\(71\) | −7.66424 | + | 5.56839i | −0.909577 | + | 0.660847i | −0.940908 | − | 0.338662i | \(-0.890026\pi\) |
0.0313305 | + | 0.999509i | \(0.490026\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 4.34379 | + | 13.3688i | 0.508403 | + | 1.56470i | 0.794974 | + | 0.606643i | \(0.207484\pi\) |
−0.286571 | + | 0.958059i | \(0.592516\pi\) | |||||||
\(74\) | −0.120749 | + | 0.371629i | −0.0140368 | + | 0.0432010i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 6.62123 | 0.759507 | ||||||||
\(77\) | 8.86559 | − | 7.02412i | 1.01033 | − | 0.800473i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 8.89129 | + | 6.45990i | 1.00035 | + | 0.726795i | 0.962163 | − | 0.272475i | \(-0.0878423\pi\) |
0.0381851 | + | 0.999271i | \(0.487842\pi\) | |||||||
\(80\) | −4.27387 | + | 13.1536i | −0.477834 | + | 1.47062i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 2.38327 | − | 1.73155i | 0.263189 | − | 0.191218i | ||||
\(83\) | −1.10689 | + | 0.804203i | −0.121497 | + | 0.0882728i | −0.646874 | − | 0.762597i | \(-0.723924\pi\) |
0.525377 | + | 0.850869i | \(0.323924\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 8.06071 | − | 24.8083i | 0.874306 | − | 2.69084i | ||||
\(86\) | 0.116708 | + | 0.0847935i | 0.0125850 | + | 0.00914352i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 4.08555 | − | 0.170482i | 0.435521 | − | 0.0181735i | ||||
\(89\) | 10.3758 | 1.09983 | 0.549915 | − | 0.835221i | \(-0.314660\pi\) | ||||
0.549915 | + | 0.835221i | \(0.314660\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.45640 | − | 4.48235i | 0.152672 | − | 0.469878i | ||||
\(92\) | 2.19554 | + | 6.75719i | 0.228901 | + | 0.704486i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −0.561585 | + | 0.408015i | −0.0579230 | + | 0.0420836i | ||||
\(95\) | 4.36707 | + | 13.4405i | 0.448052 | + | 1.37896i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 6.67190 | + | 4.84742i | 0.677428 | + | 0.492181i | 0.872504 | − | 0.488608i | \(-0.162495\pi\) |
−0.195075 | + | 0.980788i | \(0.562495\pi\) | |||||||
\(98\) | 1.46387 | 0.147873 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −21.7492 | −2.17492 | ||||||||
\(101\) | −9.02893 | − | 6.55990i | −0.898412 | − | 0.652734i | 0.0396458 | − | 0.999214i | \(-0.487377\pi\) |
−0.938058 | + | 0.346479i | \(0.887377\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 2.43488 | + | 7.49380i | 0.239916 | + | 0.738386i | 0.996431 | + | 0.0844097i | \(0.0269004\pi\) |
−0.756515 | + | 0.653976i | \(0.773100\pi\) | |||||||
\(104\) | 1.37844 | − | 1.00149i | 0.135167 | − | 0.0982046i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.0881400 | + | 0.271267i | 0.00856091 | + | 0.0263478i | ||||
\(107\) | 4.11132 | − | 12.6533i | 0.397456 | − | 1.22325i | −0.529575 | − | 0.848263i | \(-0.677649\pi\) |
0.927032 | − | 0.374982i | \(-0.122351\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 9.70501 | 0.929571 | 0.464786 | − | 0.885423i | \(-0.346131\pi\) | ||||
0.464786 | + | 0.885423i | \(0.346131\pi\) | |||||||
\(110\) | 1.48140 | + | 3.98561i | 0.141246 | + | 0.380013i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −9.40938 | − | 6.83632i | −0.889103 | − | 0.645971i | ||||
\(113\) | 1.83406 | − | 5.64465i | 0.172534 | − | 0.531004i | −0.826979 | − | 0.562233i | \(-0.809942\pi\) |
0.999512 | + | 0.0312296i | \(0.00994231\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −12.2684 | + | 8.91349i | −1.14403 | + | 0.831187i | ||||
\(116\) | 0.114716 | − | 0.0833460i | 0.0106511 | − | 0.00773848i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0.783629 | − | 2.41176i | 0.0721389 | − | 0.222021i | ||||
\(119\) | 17.7465 | + | 12.8936i | 1.62682 | + | 1.18195i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −8.32959 | + | 7.18456i | −0.757236 | + | 0.653142i | ||||
\(122\) | 1.82459 | 0.165191 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 2.19499 | − | 6.75548i | 0.197116 | − | 0.606660i | ||||
\(125\) | −8.07883 | − | 24.8641i | −0.722593 | − | 2.22391i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 5.48073 | − | 3.98199i | 0.486337 | − | 0.353344i | −0.317437 | − | 0.948279i | \(-0.602822\pi\) |
0.803774 | + | 0.594935i | \(0.202822\pi\) | |||||||
\(128\) | −2.74714 | − | 8.45481i | −0.242815 | − | 0.747307i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 1.43335 | + | 1.04139i | 0.125713 | + | 0.0913361i | ||||
\(131\) | −9.05370 | −0.791026 | −0.395513 | − | 0.918460i | \(-0.629433\pi\) | ||||
−0.395513 | + | 0.918460i | \(0.629433\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −11.8843 | −1.03050 | ||||||||
\(134\) | 1.49720 | + | 1.08778i | 0.129338 | + | 0.0939696i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 2.45057 | + | 7.54209i | 0.210135 | + | 0.646729i | ||||
\(137\) | −8.25718 | + | 5.99919i | −0.705459 | + | 0.512546i | −0.881705 | − | 0.471800i | \(-0.843604\pi\) |
0.176247 | + | 0.984346i | \(0.443604\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 2.18461 | + | 6.72355i | 0.185296 | + | 0.570284i | 0.999953 | − | 0.00965948i | \(-0.00307476\pi\) |
−0.814657 | + | 0.579943i | \(0.803075\pi\) | |||||||
\(140\) | 8.12064 | − | 24.9927i | 0.686319 | − | 2.11227i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 2.99483 | 0.251320 | ||||||||
\(143\) | −1.23340 | + | 4.41439i | −0.103142 | + | 0.369150i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0.244846 | + | 0.177891i | 0.0203334 | + | 0.0147730i | ||||
\(146\) | 1.37319 | − | 4.22624i | 0.113646 | − | 0.349766i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −1.90006 | + | 1.38048i | −0.156184 | + | 0.113475i | ||||
\(149\) | −3.43045 | + | 2.49237i | −0.281033 | + | 0.204183i | −0.719368 | − | 0.694629i | \(-0.755568\pi\) |
0.438335 | + | 0.898812i | \(0.355568\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 3.41969 | − | 10.5247i | 0.278291 | − | 0.856490i | −0.710039 | − | 0.704162i | \(-0.751323\pi\) |
0.988330 | − | 0.152328i | \(-0.0486771\pi\) | |||||||
\(152\) | −3.47585 | − | 2.52535i | −0.281928 | − | 0.204833i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −3.57257 | + | 0.149076i | −0.287886 | + | 0.0120129i | ||||
\(155\) | 15.1607 | 1.21774 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −3.48875 | + | 10.7373i | −0.278432 | + | 0.856926i | 0.709859 | + | 0.704344i | \(0.248759\pi\) |
−0.988291 | + | 0.152582i | \(0.951241\pi\) | |||||||
\(158\) | −1.07362 | − | 3.30426i | −0.0854125 | − | 0.262873i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 11.6274 | − | 8.44777i | 0.919223 | − | 0.667855i | ||||
\(161\) | −3.94072 | − | 12.1283i | −0.310572 | − | 0.955843i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −10.0155 | − | 7.27670i | −0.784475 | − | 0.569955i | 0.121843 | − | 0.992549i | \(-0.461119\pi\) |
−0.906319 | + | 0.422595i | \(0.861119\pi\) | |||||||
\(164\) | 17.7061 | 1.38262 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0.432521 | 0.0335702 | ||||||||
\(167\) | −4.04817 | − | 2.94117i | −0.313257 | − | 0.227594i | 0.420036 | − | 0.907508i | \(-0.362018\pi\) |
−0.733293 | + | 0.679913i | \(0.762018\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −3.42705 | − | 10.5474i | −0.263619 | − | 0.811337i | ||||
\(170\) | −6.67128 | + | 4.84697i | −0.511664 | + | 0.371745i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0.267938 | + | 0.824628i | 0.0204301 | + | 0.0628773i | ||||
\(173\) | 2.00743 | − | 6.17824i | 0.152622 | − | 0.469723i | −0.845290 | − | 0.534308i | \(-0.820572\pi\) |
0.997912 | + | 0.0645849i | \(0.0205723\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 39.0371 | 2.95092 | ||||||||
\(176\) | 9.41996 | + | 6.26110i | 0.710056 | + | 0.471948i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −2.65362 | − | 1.92797i | −0.198897 | − | 0.144507i | ||||
\(179\) | 3.79797 | − | 11.6890i | 0.283874 | − | 0.873673i | −0.702860 | − | 0.711328i | \(-0.748094\pi\) |
0.986734 | − | 0.162345i | \(-0.0519059\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 4.86040 | − | 3.53129i | 0.361271 | − | 0.262479i | −0.392311 | − | 0.919833i | \(-0.628324\pi\) |
0.753582 | + | 0.657354i | \(0.228324\pi\) | |||||||
\(182\) | −1.20536 | + | 0.875747i | −0.0893474 | + | 0.0649147i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 1.42464 | − | 4.38460i | 0.105026 | − | 0.323237i | ||||
\(185\) | −4.05544 | − | 2.94645i | −0.298162 | − | 0.216627i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −17.7664 | − | 11.8087i | −1.29921 | − | 0.863538i | ||||
\(188\) | −4.17220 | −0.304289 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 1.38055 | − | 4.24889i | 0.100155 | − | 0.308247i | ||||
\(191\) | −0.637974 | − | 1.96348i | −0.0461622 | − | 0.142073i | 0.925319 | − | 0.379190i | \(-0.123797\pi\) |
−0.971481 | + | 0.237118i | \(0.923797\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −8.82865 | + | 6.41439i | −0.635500 | + | 0.461718i | −0.858301 | − | 0.513146i | \(-0.828480\pi\) |
0.222801 | + | 0.974864i | \(0.428480\pi\) | |||||||
\(194\) | −0.805628 | − | 2.47947i | −0.0578407 | − | 0.178015i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 7.11814 | + | 5.17163i | 0.508439 | + | 0.369402i | ||||
\(197\) | −20.4184 | −1.45475 | −0.727376 | − | 0.686239i | \(-0.759261\pi\) | ||||
−0.727376 | + | 0.686239i | \(0.759261\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 5.57032 | 0.394869 | 0.197435 | − | 0.980316i | \(-0.436739\pi\) | ||||
0.197435 | + | 0.980316i | \(0.436739\pi\) | |||||||
\(200\) | 11.4173 | + | 8.29519i | 0.807329 | + | 0.586559i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 1.09024 | + | 3.35541i | 0.0767089 | + | 0.236086i | ||||
\(203\) | −0.205900 | + | 0.149595i | −0.0144514 | + | 0.0104995i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 11.6782 | + | 35.9418i | 0.815641 | + | 2.51028i | ||||
\(206\) | 0.769731 | − | 2.36899i | 0.0536297 | − | 0.165055i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 4.71302 | 0.326789 | ||||||||
\(209\) | 11.5475 | − | 0.481856i | 0.798759 | − | 0.0333307i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −17.6404 | − | 12.8165i | −1.21441 | − | 0.882324i | −0.218790 | − | 0.975772i | \(-0.570211\pi\) |
−0.995624 | + | 0.0934481i | \(0.970211\pi\) | |||||||
\(212\) | −0.529762 | + | 1.63044i | −0.0363842 | + | 0.111979i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −3.40265 | + | 2.47217i | −0.232600 | + | 0.168994i | ||||
\(215\) | −1.49720 | + | 1.08778i | −0.102108 | + | 0.0741857i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −3.93972 | + | 12.1252i | −0.267446 | + | 0.823114i | ||||
\(218\) | −2.48207 | − | 1.80333i | −0.168107 | − | 0.122137i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −6.87719 | + | 24.6138i | −0.463660 | + | 1.65947i | ||||
\(221\) | −8.88895 | −0.597936 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 4.05386 | − | 12.4765i | 0.271467 | − | 0.835489i | −0.718666 | − | 0.695356i | \(-0.755247\pi\) |
0.990133 | − | 0.140133i | \(-0.0447531\pi\) | |||||||
\(224\) | 3.73482 | + | 11.4946i | 0.249543 | + | 0.768015i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −1.51792 | + | 1.10283i | −0.100970 | + | 0.0733593i | ||||
\(227\) | 7.09314 | + | 21.8304i | 0.470788 | + | 1.44894i | 0.851555 | + | 0.524266i | \(0.175660\pi\) |
−0.380766 | + | 0.924671i | \(0.624340\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −20.2570 | − | 14.7176i | −1.33862 | − | 0.972565i | −0.999493 | − | 0.0318242i | \(-0.989868\pi\) |
−0.339127 | − | 0.940741i | \(-0.610132\pi\) | |||||||
\(230\) | 4.79391 | 0.316101 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −0.0920089 | −0.00604068 | ||||||||
\(233\) | −12.3212 | − | 8.95184i | −0.807185 | − | 0.586455i | 0.105828 | − | 0.994384i | \(-0.466251\pi\) |
−0.913013 | + | 0.407930i | \(0.866251\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −2.75180 | − | 8.46917i | −0.179508 | − | 0.552468i | ||||
\(236\) | 12.3309 | − | 8.95889i | 0.802670 | − | 0.583174i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −2.14288 | − | 6.59511i | −0.138902 | − | 0.427497i | ||||
\(239\) | −7.70731 | + | 23.7206i | −0.498544 | + | 1.53436i | 0.312816 | + | 0.949814i | \(0.398728\pi\) |
−0.811360 | + | 0.584547i | \(0.801272\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −11.2183 | −0.722634 | −0.361317 | − | 0.932443i | \(-0.617673\pi\) | ||||
−0.361317 | + | 0.932443i | \(0.617673\pi\) | |||||||
\(242\) | 3.46530 | − | 0.289705i | 0.222758 | − | 0.0186229i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 8.87220 | + | 6.44603i | 0.567984 | + | 0.412665i | ||||
\(245\) | −5.80311 | + | 17.8601i | −0.370747 | + | 1.14104i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 3.89606 | − | 2.83065i | 0.247900 | − | 0.180110i | ||||
\(248\) | −3.72882 | + | 2.70915i | −0.236780 | + | 0.172031i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −2.55393 | + | 7.86019i | −0.161525 | + | 0.497122i | ||||
\(251\) | 3.72882 | + | 2.70915i | 0.235361 | + | 0.171000i | 0.699214 | − | 0.714912i | \(-0.253533\pi\) |
−0.463853 | + | 0.885912i | \(0.653533\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 4.32081 | + | 11.6249i | 0.271647 | + | 0.730849i | ||||
\(254\) | −2.14162 | −0.134377 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 2.65461 | − | 8.17004i | 0.165913 | − | 0.510628i | ||||
\(257\) | 2.05355 | + | 6.32019i | 0.128097 | + | 0.394243i | 0.994453 | − | 0.105185i | \(-0.0335436\pi\) |
−0.866355 | + | 0.499428i | \(0.833544\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 3.41037 | − | 2.47778i | 0.211910 | − | 0.153962i | ||||
\(260\) | 3.29068 | + | 10.1277i | 0.204079 | + | 0.628092i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 2.31550 | + | 1.68231i | 0.143052 | + | 0.103933i | ||||
\(263\) | −0.256029 | −0.0157874 | −0.00789371 | − | 0.999969i | \(-0.502513\pi\) | ||||
−0.00789371 | + | 0.999969i | \(0.502513\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −3.65904 | −0.224773 | ||||||||
\(266\) | 3.03942 | + | 2.20827i | 0.186359 | + | 0.135398i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 3.43725 | + | 10.5788i | 0.209963 | + | 0.646201i | ||||
\(269\) | 22.0359 | − | 16.0100i | 1.34355 | − | 0.976148i | 0.344247 | − | 0.938879i | \(-0.388134\pi\) |
0.999305 | − | 0.0372682i | \(-0.0118656\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 0.961217 | + | 2.95832i | 0.0583898 | + | 0.179705i | 0.975997 | − | 0.217782i | \(-0.0698822\pi\) |
−0.917608 | + | 0.397487i | \(0.869882\pi\) | |||||||
\(272\) | −6.77856 | + | 20.8623i | −0.411010 | + | 1.26496i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 3.22652 | 0.194921 | ||||||||
\(275\) | −37.9310 | + | 1.58279i | −2.28732 | + | 0.0954455i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −5.75675 | − | 4.18253i | −0.345890 | − | 0.251304i | 0.401253 | − | 0.915967i | \(-0.368575\pi\) |
−0.747143 | + | 0.664664i | \(0.768575\pi\) | |||||||
\(278\) | 0.690613 | − | 2.12549i | 0.0414202 | − | 0.127478i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −13.7952 | + | 10.0228i | −0.824424 | + | 0.598979i | ||||
\(281\) | −1.53900 | + | 1.11815i | −0.0918090 | + | 0.0667031i | −0.632743 | − | 0.774362i | \(-0.718071\pi\) |
0.540934 | + | 0.841065i | \(0.318071\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 4.19735 | − | 12.9181i | 0.249507 | − | 0.767903i | −0.745356 | − | 0.666667i | \(-0.767720\pi\) |
0.994862 | − | 0.101236i | \(-0.0322797\pi\) | |||||||
\(284\) | 14.5625 | + | 10.5803i | 0.864128 | + | 0.627826i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 1.13570 | − | 0.899805i | 0.0671554 | − | 0.0532066i | ||||
\(287\) | −31.7803 | −1.87593 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 7.53136 | − | 23.1791i | 0.443021 | − | 1.36348i | ||||
\(290\) | −0.0295650 | − | 0.0909918i | −0.00173612 | − | 0.00534322i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 21.6079 | − | 15.6991i | 1.26451 | − | 0.918718i | ||||
\(293\) | −8.38365 | − | 25.8022i | −0.489778 | − | 1.50738i | −0.824939 | − | 0.565222i | \(-0.808791\pi\) |
0.335161 | − | 0.942161i | \(-0.391209\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 26.3186 | + | 19.1216i | 1.53233 | + | 1.11330i | ||||
\(296\) | 1.52396 | 0.0885786 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 1.34046 | 0.0776508 | ||||||||
\(299\) | 4.18068 | + | 3.03744i | 0.241775 | + | 0.175660i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −0.480914 | − | 1.48010i | −0.0277194 | − | 0.0853116i | ||||
\(302\) | −2.83024 | + | 2.05629i | −0.162862 | + | 0.118326i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −3.67244 | − | 11.3026i | −0.210629 | − | 0.648249i | ||||
\(305\) | −7.23312 | + | 22.2612i | −0.414167 | + | 1.27468i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −2.18209 | −0.124539 | −0.0622694 | − | 0.998059i | \(-0.519834\pi\) | ||||
−0.0622694 | + | 0.998059i | \(0.519834\pi\) | |||||||
\(308\) | −17.8985 | − | 11.8965i | −1.01986 | − | 0.677866i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −3.87737 | − | 2.81708i | −0.220220 | − | 0.159999i | ||||
\(311\) | −2.37887 | + | 7.32140i | −0.134893 | + | 0.415159i | −0.995573 | − | 0.0939874i | \(-0.970039\pi\) |
0.860680 | + | 0.509146i | \(0.170039\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 10.9182 | − | 7.93251i | 0.617131 | − | 0.448372i | −0.234787 | − | 0.972047i | \(-0.575439\pi\) |
0.851918 | + | 0.523675i | \(0.175439\pi\) | |||||||
\(314\) | 2.88739 | − | 2.09781i | 0.162945 | − | 0.118386i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 6.45294 | − | 19.8601i | 0.363006 | − | 1.11722i | ||||
\(317\) | −18.7326 | − | 13.6101i | −1.05213 | − | 0.764417i | −0.0795134 | − | 0.996834i | \(-0.525337\pi\) |
−0.972616 | + | 0.232417i | \(0.925337\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.194001 | − | 0.153705i | 0.0108620 | − | 0.00860583i | ||||
\(320\) | 23.1177 | 1.29232 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −1.24577 | + | 3.83407i | −0.0694238 | + | 0.213664i | ||||
\(323\) | 6.92637 | + | 21.3172i | 0.385394 | + | 1.18612i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −12.7977 | + | 9.29804i | −0.709886 | + | 0.515762i | ||||
\(326\) | 1.20937 | + | 3.72205i | 0.0669807 | + | 0.206145i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −9.29492 | − | 6.75316i | −0.513226 | − | 0.372881i | ||||
\(329\) | 7.48857 | 0.412858 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 17.4367 | 0.958406 | 0.479203 | − | 0.877704i | \(-0.340926\pi\) | ||||
0.479203 | + | 0.877704i | \(0.340926\pi\) | |||||||
\(332\) | 2.10316 | + | 1.52804i | 0.115426 | + | 0.0838620i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0.488815 | + | 1.50442i | 0.0267468 | + | 0.0823180i | ||||
\(335\) | −19.2068 | + | 13.9546i | −1.04938 | + | 0.762420i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 2.93939 | + | 9.04651i | 0.160119 | + | 0.492795i | 0.998644 | − | 0.0520687i | \(-0.0165815\pi\) |
−0.838525 | + | 0.544863i | \(0.816581\pi\) | |||||||
\(338\) | −1.08338 | + | 3.33430i | −0.0589282 | + | 0.181362i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −49.5632 | −2.68794 | ||||||||
\(341\) | 3.33647 | − | 11.9414i | 0.180680 | − | 0.646663i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 6.53718 | + | 4.74954i | 0.352975 | + | 0.256451i | ||||
\(344\) | 0.173859 | − | 0.535084i | 0.00937387 | − | 0.0288498i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −1.66141 | + | 1.20708i | −0.0893179 | + | 0.0648933i | ||||
\(347\) | 18.0841 | − | 13.1389i | 0.970807 | − | 0.705333i | 0.0151720 | − | 0.999885i | \(-0.495170\pi\) |
0.955635 | + | 0.294552i | \(0.0951704\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −7.59976 | + | 23.3896i | −0.406806 | + | 1.25202i | 0.512572 | + | 0.858644i | \(0.328693\pi\) |
−0.919378 | + | 0.393375i | \(0.871307\pi\) | |||||||
\(350\) | −9.98379 | − | 7.25365i | −0.533656 | − | 0.387724i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −4.09505 | − | 11.0175i | −0.218267 | − | 0.587233i | ||||
\(353\) | −7.66599 | −0.408019 | −0.204010 | − | 0.978969i | \(-0.565397\pi\) | ||||
−0.204010 | + | 0.978969i | \(0.565397\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −11.8722 | + | 36.5389i | −0.630111 | + | 1.93928i | ||||
\(356\) | −6.09216 | − | 18.7497i | −0.322884 | − | 0.993734i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −3.14331 | + | 2.28375i | −0.166129 | + | 0.120700i | ||||
\(359\) | 5.86366 | + | 18.0465i | 0.309472 | + | 0.952457i | 0.977970 | + | 0.208743i | \(0.0669373\pi\) |
−0.668498 | + | 0.743714i | \(0.733063\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 5.54709 | + | 4.03020i | 0.291952 | + | 0.212116i | ||||
\(362\) | −1.89922 | −0.0998208 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −8.95504 | −0.469372 | ||||||||
\(365\) | 46.1192 | + | 33.5076i | 2.41399 | + | 1.75387i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −9.41521 | − | 28.9770i | −0.491470 | − | 1.51259i | −0.822386 | − | 0.568929i | \(-0.807358\pi\) |
0.330916 | − | 0.943660i | \(-0.392642\pi\) | |||||||
\(368\) | 10.3169 | − | 7.49570i | 0.537808 | − | 0.390740i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0.489692 | + | 1.50712i | 0.0254579 | + | 0.0783513i | ||||
\(371\) | 0.950855 | − | 2.92643i | 0.0493659 | − | 0.151933i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 29.3360 | 1.51896 | 0.759480 | − | 0.650530i | \(-0.225453\pi\) | ||||
0.759480 | + | 0.650530i | \(0.225453\pi\) | |||||||
\(374\) | 2.34957 | + | 6.32135i | 0.121493 | + | 0.326869i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 2.19022 | + | 1.59129i | 0.112952 | + | 0.0820643i | ||||
\(377\) | 0.0318697 | − | 0.0980847i | 0.00164137 | − | 0.00505162i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −29.1894 | + | 21.2073i | −1.49936 | + | 1.08935i | −0.528721 | + | 0.848796i | \(0.677328\pi\) |
−0.970637 | + | 0.240551i | \(0.922672\pi\) | |||||||
\(380\) | 21.7237 | − | 15.7832i | 1.11440 | − | 0.809661i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −0.201680 | + | 0.620708i | −0.0103189 | + | 0.0317582i | ||||
\(383\) | −17.3575 | − | 12.6109i | −0.886925 | − | 0.644388i | 0.0481498 | − | 0.998840i | \(-0.484668\pi\) |
−0.935074 | + | 0.354452i | \(0.884668\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 12.3437 | − | 44.1787i | 0.629092 | − | 2.25156i | ||||
\(386\) | 3.44982 | 0.175591 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 4.84220 | − | 14.9027i | 0.245825 | − | 0.756572i | ||||
\(389\) | 0.0153125 | + | 0.0471270i | 0.000776374 | + | 0.00238943i | 0.951444 | − | 0.307822i | \(-0.0996001\pi\) |
−0.950668 | + | 0.310211i | \(0.899600\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −19.4582 | + | 14.1372i | −0.984043 | + | 0.714949i | ||||
\(392\) | −1.76423 | − | 5.42975i | −0.0891072 | − | 0.274244i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 5.22204 | + | 3.79404i | 0.263083 | + | 0.191141i | ||||
\(395\) | 44.5702 | 2.24257 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 0.432880 | 0.0217256 | 0.0108628 | − | 0.999941i | \(-0.496542\pi\) | ||||
0.0108628 | + | 0.999941i | \(0.496542\pi\) | |||||||
\(398\) | −1.42462 | − | 1.03504i | −0.0714096 | − | 0.0518821i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 12.0631 | + | 37.1264i | 0.603156 | + | 1.85632i | ||||
\(401\) | 15.5206 | − | 11.2764i | 0.775063 | − | 0.563116i | −0.128430 | − | 0.991719i | \(-0.540994\pi\) |
0.903493 | + | 0.428602i | \(0.140994\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −1.59647 | − | 4.91344i | −0.0795259 | − | 0.244756i | ||||
\(404\) | −6.55283 | + | 20.1675i | −0.326016 | + | 1.00337i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0.0804563 | 0.00399298 | ||||||||
\(407\) | −3.21328 | + | 2.54585i | −0.159276 | + | 0.126193i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 25.6325 | + | 18.6231i | 1.26745 | + | 0.920853i | 0.999098 | − | 0.0424695i | \(-0.0135225\pi\) |
0.268347 | + | 0.963322i | \(0.413523\pi\) | |||||||
\(410\) | 3.69179 | − | 11.3621i | 0.182324 | − | 0.561136i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 12.1122 | − | 8.80000i | 0.596723 | − | 0.433545i | ||||
\(413\) | −22.1323 | + | 16.0801i | −1.08906 | + | 0.791248i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −1.71462 | + | 5.27705i | −0.0841672 | + | 0.259040i | ||||
\(416\) | −3.96224 | − | 2.87873i | −0.194265 | − | 0.141142i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −3.04283 | − | 2.02246i | −0.148830 | − | 0.0989218i | ||||
\(419\) | −10.6473 | −0.520155 | −0.260077 | − | 0.965588i | \(-0.583748\pi\) | ||||
−0.260077 | + | 0.965588i | \(0.583748\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 0.669464 | − | 2.06040i | 0.0326277 | − | 0.100418i | −0.933416 | − | 0.358795i | \(-0.883188\pi\) |
0.966044 | + | 0.258377i | \(0.0831878\pi\) | |||||||
\(422\) | 2.13007 | + | 6.55568i | 0.103690 | + | 0.319125i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0.899954 | − | 0.653855i | 0.0437056 | − | 0.0317540i | ||||
\(425\) | −22.7515 | − | 70.0220i | −1.10361 | − | 3.39657i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −15.9245 | − | 11.5698i | −0.770639 | − | 0.559902i | ||||
\(428\) | −25.2794 | −1.22193 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0.585035 | 0.0282129 | ||||||||
\(431\) | −26.3798 | − | 19.1661i | −1.27067 | − | 0.923197i | −0.271443 | − | 0.962454i | \(-0.587501\pi\) |
−0.999229 | + | 0.0392570i | \(0.987501\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −7.68894 | − | 23.6641i | −0.369507 | − | 1.13723i | −0.947110 | − | 0.320908i | \(-0.896012\pi\) |
0.577604 | − | 0.816317i | \(-0.303988\pi\) | |||||||
\(434\) | 3.26063 | − | 2.36899i | 0.156515 | − | 0.113715i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −5.69832 | − | 17.5376i | −0.272900 | − | 0.839899i | ||||
\(437\) | 4.02665 | − | 12.3928i | 0.192621 | − | 0.592827i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −17.6523 | −0.842500 | −0.421250 | − | 0.906945i | \(-0.638409\pi\) | ||||
−0.421250 | + | 0.906945i | \(0.638409\pi\) | |||||||
\(440\) | 12.9980 | − | 10.2982i | 0.619654 | − | 0.490946i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 2.27336 | + | 1.65169i | 0.108133 | + | 0.0785631i | ||||
\(443\) | 9.04672 | − | 27.8429i | 0.429822 | − | 1.32286i | −0.468478 | − | 0.883475i | \(-0.655197\pi\) |
0.898300 | − | 0.439382i | \(-0.144803\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 34.0421 | − | 24.7330i | 1.61375 | − | 1.17246i | ||||
\(446\) | −3.35510 | + | 2.43762i | −0.158868 | + | 0.115425i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −6.00746 | + | 18.4890i | −0.283826 | + | 0.873525i | ||||
\(449\) | 11.9284 | + | 8.66649i | 0.562936 | + | 0.408997i | 0.832532 | − | 0.553976i | \(-0.186890\pi\) |
−0.269596 | + | 0.962973i | \(0.586890\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 30.8798 | − | 1.28855i | 1.45407 | − | 0.0606756i | ||||
\(452\) | −11.2771 | −0.530432 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 2.24233 | − | 6.90118i | 0.105238 | − | 0.323888i | ||||
\(455\) | −5.90635 | − | 18.1779i | −0.276894 | − | 0.852192i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 8.21662 | − | 5.96973i | 0.384357 | − | 0.279252i | −0.378782 | − | 0.925486i | \(-0.623657\pi\) |
0.763139 | + | 0.646234i | \(0.223657\pi\) | |||||||
\(458\) | 2.44602 | + | 7.52809i | 0.114295 | + | 0.351764i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 23.3107 | + | 16.9362i | 1.08687 | + | 0.789655i | ||||
\(461\) | 4.17865 | 0.194619 | 0.0973095 | − | 0.995254i | \(-0.468976\pi\) | ||||
0.0973095 | + | 0.995254i | \(0.468976\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −9.50797 | −0.441873 | −0.220937 | − | 0.975288i | \(-0.570911\pi\) | ||||
−0.220937 | + | 0.975288i | \(0.570911\pi\) | |||||||
\(464\) | −0.205900 | − | 0.149595i | −0.00955868 | − | 0.00694479i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 1.48777 | + | 4.57889i | 0.0689197 | + | 0.212113i | ||||
\(467\) | 28.2253 | − | 20.5069i | 1.30611 | − | 0.948944i | 0.306114 | − | 0.951995i | \(-0.400971\pi\) |
0.999995 | + | 0.00305082i | \(0.000971107\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −6.16942 | − | 18.9875i | −0.284877 | − | 0.876763i | ||||
\(470\) | −0.869917 | + | 2.67733i | −0.0401263 | + | 0.123496i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −9.89008 | −0.455228 | ||||||||
\(473\) | 0.527299 | + | 1.41866i | 0.0242452 | + | 0.0652302i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 32.2703 | + | 23.4458i | 1.48066 | + | 1.07577i | ||||
\(476\) | 12.8797 | − | 39.6396i | 0.590340 | − | 1.81688i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 6.37879 | − | 4.63446i | 0.291759 | − | 0.211975i | ||||
\(479\) | −8.58551 | + | 6.23774i | −0.392282 | + | 0.285010i | −0.766390 | − | 0.642376i | \(-0.777949\pi\) |
0.374108 | + | 0.927385i | \(0.377949\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −0.527864 | + | 1.62460i | −0.0240685 | + | 0.0740753i | ||||
\(482\) | 2.86910 | + | 2.08452i | 0.130684 | + | 0.0949473i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 17.8737 | + | 10.8337i | 0.812442 | + | 0.492441i | ||||
\(485\) | 33.4449 | 1.51865 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −10.4706 | + | 32.2252i | −0.474468 | + | 1.46026i | 0.372205 | + | 0.928151i | \(0.378602\pi\) |
−0.846673 | + | 0.532113i | \(0.821398\pi\) | |||||||
\(488\) | −2.19897 | − | 6.76775i | −0.0995429 | − | 0.306361i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 4.80283 | − | 3.48946i | 0.216970 | − | 0.157638i | ||||
\(491\) | 5.40461 | + | 16.6337i | 0.243907 | + | 0.750667i | 0.995814 | + | 0.0913990i | \(0.0291339\pi\) |
−0.751908 | + | 0.659268i | \(0.770866\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0.388337 | + | 0.282143i | 0.0174898 | + | 0.0127071i | ||||
\(494\) | −1.52240 | −0.0684960 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −12.7492 | −0.572457 | ||||||||
\(497\) | −26.1379 | − | 18.9903i | −1.17244 | − | 0.851831i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −1.82716 | − | 5.62341i | −0.0817948 | − | 0.251739i | 0.901793 | − | 0.432168i | \(-0.142251\pi\) |
−0.983588 | + | 0.180429i | \(0.942251\pi\) | |||||||
\(500\) | −40.1876 | + | 29.1980i | −1.79724 | + | 1.30577i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −0.450253 | − | 1.38574i | −0.0200958 | − | 0.0618485i | ||||
\(503\) | 9.46873 | − | 29.1417i | 0.422190 | − | 1.29937i | −0.483470 | − | 0.875361i | \(-0.660624\pi\) |
0.905660 | − | 0.424005i | \(-0.139376\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −45.2602 | −2.01405 | ||||||||
\(506\) | 1.05501 | − | 3.77595i | 0.0469010 | − | 0.167861i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −10.4137 | − | 7.56603i | −0.462035 | − | 0.335688i | ||||
\(509\) | −12.4985 | + | 38.4665i | −0.553987 | + | 1.70500i | 0.144618 | + | 0.989488i | \(0.453805\pi\) |
−0.698604 | + | 0.715508i | \(0.746195\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −38.7834 | + | 28.1778i | −1.71568 | + | 1.24651i | ||||
\(512\) | −16.5812 | + | 12.0470i | −0.732793 | + | 0.532406i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 0.649183 | − | 1.99798i | 0.0286342 | − | 0.0881271i | ||||
\(515\) | 25.8518 | + | 18.7824i | 1.13917 | + | 0.827653i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −7.27638 | + | 0.303629i | −0.320015 | + | 0.0133536i | ||||
\(518\) | −1.33262 | −0.0585517 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 2.13525 | − | 6.57164i | 0.0936371 | − | 0.288185i | ||||
\(521\) | 8.37094 | + | 25.7631i | 0.366738 | + | 1.12870i | 0.948886 | + | 0.315620i | \(0.102212\pi\) |
−0.582148 | + | 0.813083i | \(0.697788\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −12.4413 | + | 9.03910i | −0.544018 | + | 0.395252i | −0.825575 | − | 0.564292i | \(-0.809149\pi\) |
0.281557 | + | 0.959544i | \(0.409149\pi\) | |||||||
\(524\) | 5.31590 | + | 16.3607i | 0.232226 | + | 0.714719i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0.0654798 | + | 0.0475738i | 0.00285505 | + | 0.00207432i | ||||
\(527\) | 24.0456 | 1.04744 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −9.01756 | −0.392068 | ||||||||
\(530\) | 0.935806 | + | 0.679903i | 0.0406488 | + | 0.0295331i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 6.97787 | + | 21.4757i | 0.302529 | + | 0.931089i | ||||
\(533\) | 10.4186 | − | 7.56958i | 0.451281 | − | 0.327875i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −16.6732 | − | 51.3149i | −0.720846 | − | 2.21853i | ||||
\(536\) | 2.23036 | − | 6.86434i | 0.0963369 | − | 0.296494i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −8.61060 | −0.371229 | ||||||||
\(539\) | 12.7905 | + | 8.50139i | 0.550927 | + | 0.366181i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −19.3592 | − | 14.0653i | −0.832319 | − | 0.604715i | 0.0878957 | − | 0.996130i | \(-0.471986\pi\) |
−0.920214 | + | 0.391415i | \(0.871986\pi\) | |||||||
\(542\) | 0.303866 | − | 0.935204i | 0.0130522 | − | 0.0401704i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 18.4415 | − | 13.3985i | 0.790673 | − | 0.574458i | ||||
\(545\) | 31.8413 | − | 23.1341i | 1.36393 | − | 0.990955i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −6.79463 | + | 20.9117i | −0.290518 | + | 0.894121i | 0.694173 | + | 0.719808i | \(0.255770\pi\) |
−0.984690 | + | 0.174313i | \(0.944230\pi\) | |||||||
\(548\) | 15.6892 | + | 11.3989i | 0.670208 | + | 0.486935i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 9.99501 | + | 6.64332i | 0.426189 | + | 0.283272i | ||||
\(551\) | −0.260057 | −0.0110788 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −11.5822 | + | 35.6463i | −0.492525 | + | 1.51584i | ||||
\(554\) | 0.695125 | + | 2.13937i | 0.0295330 | + | 0.0908933i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 10.8672 | − | 7.89549i | 0.460872 | − | 0.334843i | ||||
\(557\) | 11.4341 | + | 35.1905i | 0.484477 | + | 1.49107i | 0.832736 | + | 0.553670i | \(0.186773\pi\) |
−0.348259 | + | 0.937398i | \(0.613227\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0.510197 | + | 0.370680i | 0.0215791 | + | 0.0156781i | ||||
\(560\) | −47.1673 | −1.99318 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0.601369 | 0.0253672 | ||||||||
\(563\) | −13.5355 | − | 9.83411i | −0.570453 | − | 0.414458i | 0.264817 | − | 0.964299i | \(-0.414689\pi\) |
−0.835270 | + | 0.549840i | \(0.814689\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −7.43790 | − | 22.8915i | −0.312915 | − | 0.963053i | ||||
\(566\) | −3.47385 | + | 2.52390i | −0.146017 | + | 0.106088i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −3.60932 | − | 11.1084i | −0.151444 | − | 0.466096i | ||||
\(569\) | 11.8830 | − | 36.5721i | 0.498162 | − | 1.53318i | −0.313809 | − | 0.949486i | \(-0.601605\pi\) |
0.811971 | − | 0.583698i | \(-0.198395\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 22.4984 | 0.941530 | 0.470765 | − | 0.882259i | \(-0.343978\pi\) | ||||
0.470765 | + | 0.882259i | \(0.343978\pi\) | |||||||
\(572\) | 8.70130 | − | 0.363088i | 0.363820 | − | 0.0151815i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 8.12785 | + | 5.90523i | 0.339250 | + | 0.246480i | ||||
\(575\) | −13.2266 | + | 40.7074i | −0.551589 | + | 1.69762i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 32.9059 | − | 23.9076i | 1.36989 | − | 0.995284i | 0.372146 | − | 0.928174i | \(-0.378622\pi\) |
0.997746 | − | 0.0671101i | \(-0.0213779\pi\) | |||||||
\(578\) | −6.23317 | + | 4.52866i | −0.259266 | + | 0.188368i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0.177699 | − | 0.546903i | 0.00737857 | − | 0.0227089i | ||||
\(581\) | −3.77491 | − | 2.74263i | −0.156610 | − | 0.113784i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −0.805259 | + | 2.88206i | −0.0333504 | + | 0.119363i | ||||
\(584\) | −17.3308 | −0.717155 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −2.65029 | + | 8.15676i | −0.109483 | + | 0.336953i | ||||
\(587\) | −7.38326 | − | 22.7233i | −0.304740 | − | 0.937892i | −0.979774 | − | 0.200106i | \(-0.935871\pi\) |
0.675034 | − | 0.737786i | \(-0.264129\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −10.5393 | + | 7.65721i | −0.434262 | + | 0.315510i | ||||
\(590\) | −3.17796 | − | 9.78074i | −0.130834 | − | 0.402667i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 3.41037 | + | 2.47778i | 0.140165 | + | 0.101836i | ||||
\(593\) | −36.6237 | −1.50395 | −0.751977 | − | 0.659190i | \(-0.770900\pi\) | ||||
−0.751977 | + | 0.659190i | \(0.770900\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 88.9596 | 3.64699 | ||||||||
\(596\) | 6.51807 | + | 4.73566i | 0.266991 | + | 0.193980i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −0.504815 | − | 1.55366i | −0.0206434 | − | 0.0635339i | ||||
\(599\) | −25.1879 | + | 18.3001i | −1.02915 | + | 0.747720i | −0.968138 | − | 0.250417i | \(-0.919432\pi\) |
−0.0610100 | + | 0.998137i | \(0.519432\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 6.46577 | + | 19.8996i | 0.263744 | + | 0.811721i | 0.991980 | + | 0.126394i | \(0.0403405\pi\) |
−0.728236 | + | 0.685326i | \(0.759660\pi\) | |||||||
\(602\) | −0.152030 | + | 0.467899i | −0.00619626 | + | 0.0190701i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −21.0268 | −0.855568 | ||||||||
\(605\) | −10.2027 | + | 43.4274i | −0.414798 | + | 1.76558i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −12.7376 | − | 9.25441i | −0.517003 | − | 0.375625i | 0.298471 | − | 0.954419i | \(-0.403524\pi\) |
−0.815474 | + | 0.578794i | \(0.803524\pi\) | |||||||
\(608\) | −3.81626 | + | 11.7453i | −0.154770 | + | 0.476333i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 5.98634 | − | 4.34933i | 0.242380 | − | 0.176099i | ||||
\(611\) | −2.45500 | + | 1.78366i | −0.0993188 | + | 0.0721593i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −0.750717 | + | 2.31047i | −0.0303212 | + | 0.0933190i | −0.965072 | − | 0.261985i | \(-0.915623\pi\) |
0.934751 | + | 0.355304i | \(0.115623\pi\) | |||||||
\(614\) | 0.558074 | + | 0.405464i | 0.0225220 | + | 0.0163632i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 4.85857 | + | 13.0717i | 0.195757 | + | 0.526672i | ||||
\(617\) | 42.9992 | 1.73108 | 0.865542 | − | 0.500837i | \(-0.166974\pi\) | ||||
0.865542 | + | 0.500837i | \(0.166974\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 10.6058 | − | 32.6411i | 0.426281 | − | 1.31196i | −0.475481 | − | 0.879726i | \(-0.657726\pi\) |
0.901762 | − | 0.432232i | \(-0.142274\pi\) | |||||||
\(620\) | −8.90164 | − | 27.3964i | −0.357498 | − | 1.10027i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 1.96882 | − | 1.43043i | 0.0789425 | − | 0.0573551i | ||||
\(623\) | 10.9346 | + | 33.6534i | 0.438087 | + | 1.34829i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −39.4728 | − | 28.6787i | −1.57891 | − | 1.14715i | ||||
\(626\) | −4.26631 | −0.170516 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 21.4514 | 0.856003 | ||||||||
\(629\) | −6.43211 | − | 4.67320i | −0.256465 | − | 0.186333i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −4.45465 | − | 13.7100i | −0.177337 | − | 0.545786i | 0.822396 | − | 0.568916i | \(-0.192637\pi\) |
−0.999732 | + | 0.0231295i | \(0.992637\pi\) | |||||||
\(632\) | −10.9622 | + | 7.96449i | −0.436052 | + | 0.316810i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 2.26196 | + | 6.96159i | 0.0898338 | + | 0.276480i | ||||
\(635\) | 8.48987 | − | 26.1291i | 0.336910 | − | 1.03690i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 6.39939 | 0.253553 | ||||||||
\(638\) | −0.0781766 | + | 0.00326216i | −0.00309504 | + | 0.000129150i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −29.1671 | − | 21.1911i | −1.15293 | − | 0.837653i | ||||
\(641\) | −9.59782 | + | 29.5391i | −0.379091 | + | 1.16672i | 0.561586 | + | 0.827419i | \(0.310192\pi\) |
−0.940677 | + | 0.339304i | \(0.889808\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 4.29223 | − | 3.11849i | 0.169269 | − | 0.122981i | −0.499926 | − | 0.866068i | \(-0.666639\pi\) |
0.669194 | + | 0.743087i | \(0.266639\pi\) | |||||||
\(644\) | −19.6029 | + | 14.2423i | −0.772461 | + | 0.561225i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 2.18961 | − | 6.73892i | 0.0861490 | − | 0.265139i | ||||
\(647\) | 10.3325 | + | 7.50697i | 0.406211 | + | 0.295130i | 0.772066 | − | 0.635542i | \(-0.219223\pi\) |
−0.365855 | + | 0.930672i | \(0.619223\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 20.8532 | − | 16.5218i | 0.818561 | − | 0.648538i | ||||
\(650\) | 5.00073 | 0.196145 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −7.26886 | + | 22.3712i | −0.284670 | + | 0.876125i | ||||
\(653\) | 0.580580 | + | 1.78684i | 0.0227199 | + | 0.0699246i | 0.961774 | − | 0.273846i | \(-0.0882958\pi\) |
−0.939054 | + | 0.343770i | \(0.888296\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −29.7045 | + | 21.5815i | −1.16065 | + | 0.843261i | ||||
\(656\) | −9.82065 | − | 30.2248i | −0.383432 | − | 1.18008i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −1.91521 | − | 1.39148i | −0.0746628 | − | 0.0542457i | ||||
\(659\) | 24.3868 | 0.949976 | 0.474988 | − | 0.879992i | \(-0.342452\pi\) | ||||
0.474988 | + | 0.879992i | \(0.342452\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 46.3444 | 1.80259 | 0.901295 | − | 0.433206i | \(-0.142618\pi\) | ||||
0.901295 | + | 0.433206i | \(0.142618\pi\) | |||||||
\(662\) | −4.45945 | − | 3.23998i | −0.173322 | − | 0.125926i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −0.521269 | − | 1.60430i | −0.0202292 | − | 0.0622589i | ||||
\(665\) | −38.9913 | + | 28.3288i | −1.51202 | + | 1.09854i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −0.0862326 | − | 0.265397i | −0.00333894 | − | 0.0102762i | ||||
\(668\) | −2.93800 | + | 9.04224i | −0.113675 | + | 0.349855i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 7.50514 | 0.289949 | ||||||||
\(671\) | 15.9424 | + | 10.5963i | 0.615448 | + | 0.409066i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −1.67073 | − | 1.21386i | −0.0644019 | − | 0.0467907i | 0.555119 | − | 0.831771i | \(-0.312673\pi\) |
−0.619520 | + | 0.784981i | \(0.712673\pi\) | |||||||
\(674\) | 0.929218 | − | 2.85984i | 0.0357921 | − | 0.110157i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −17.0476 | + | 12.3858i | −0.655678 | + | 0.476378i | ||||
\(677\) | −35.7836 | + | 25.9983i | −1.37527 | + | 0.999195i | −0.377969 | + | 0.925818i | \(0.623378\pi\) |
−0.997304 | + | 0.0733768i | \(0.976622\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −8.69112 | + | 26.7485i | −0.333535 | + | 1.02651i | ||||
\(680\) | 26.0184 | + | 18.9035i | 0.997761 | + | 0.724915i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −3.07219 | + | 2.43407i | −0.117640 | + | 0.0932053i | ||||
\(683\) | −9.13079 | −0.349380 | −0.174690 | − | 0.984623i | \(-0.555892\pi\) | ||||
−0.174690 | + | 0.984623i | \(0.555892\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −12.7907 | + | 39.3657i | −0.488707 | + | 1.50409i | ||||
\(686\) | −0.789362 | − | 2.42941i | −0.0301380 | − | 0.0927551i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 1.25905 | − | 0.914753i | 0.0480008 | − | 0.0348746i | ||||
\(689\) | 0.385310 | + | 1.18586i | 0.0146791 | + | 0.0451777i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −35.0395 | − | 25.4577i | −1.33296 | − | 0.968455i | −0.999671 | − | 0.0256317i | \(-0.991840\pi\) |
−0.333293 | − | 0.942823i | \(-0.608160\pi\) | |||||||
\(692\) | −12.3432 | −0.469217 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −7.06644 | −0.268238 | ||||||||
\(695\) | 23.1946 | + | 16.8519i | 0.879822 | + | 0.639228i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 18.5221 | + | 57.0053i | 0.701576 | + | 2.15923i | ||||
\(698\) | 6.28978 | − | 4.56979i | 0.238072 | − | 0.172969i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −22.9207 | − | 70.5426i | −0.866321 | − | 2.66626i | ||||
\(701\) | −5.97820 | + | 18.3990i | −0.225794 | + | 0.694921i | 0.772417 | + | 0.635116i | \(0.219048\pi\) |
−0.998210 | + | 0.0598049i | \(0.980952\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 4.30738 | 0.162456 | ||||||||
\(704\) | 5.08759 | − | 18.2087i | 0.191746 | − | 0.686268i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 1.96059 | + | 1.42445i | 0.0737877 | + | 0.0536099i | ||||
\(707\) | 11.7615 | − | 36.1982i | 0.442337 | − | 1.36137i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 3.24539 | − | 2.35791i | 0.121883 | − | 0.0885533i | −0.525174 | − | 0.850995i | \(-0.676000\pi\) |
0.647057 | + | 0.762442i | \(0.276000\pi\) | |||||||
\(710\) | 9.82578 | − | 7.13885i | 0.368755 | − | 0.267916i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −3.95308 | + | 12.1663i | −0.148148 | + | 0.455952i | ||||
\(713\) | −11.3092 | − | 8.21660i | −0.423532 | − | 0.307714i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 6.47603 | + | 17.4233i | 0.242190 | + | 0.651596i | ||||
\(716\) | −23.3527 | −0.872732 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 1.85366 | − | 5.70497i | 0.0691778 | − | 0.212907i | ||||
\(719\) | 1.76766 | + | 5.44030i | 0.0659227 | + | 0.202889i | 0.978592 | − | 0.205810i | \(-0.0659827\pi\) |
−0.912669 | + | 0.408699i | \(0.865983\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −21.7398 | + | 15.7949i | −0.809632 | + | 0.588232i | ||||
\(722\) | −0.669809 | − | 2.06146i | −0.0249277 | − | 0.0767196i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −9.23508 | − | 6.70968i | −0.343219 | − | 0.249363i | ||||
\(725\) | 0.854226 | 0.0317252 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 26.1198 | 0.968730 | 0.484365 | − | 0.874866i | \(-0.339051\pi\) | ||||
0.484365 | + | 0.874866i | \(0.339051\pi\) | |||||||
\(728\) | 4.70099 | + | 3.41547i | 0.174230 | + | 0.126586i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −5.56887 | − | 17.1392i | −0.206113 | − | 0.634352i | ||||
\(731\) | −2.37462 | + | 1.72526i | −0.0878285 | + | 0.0638111i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −3.61891 | − | 11.1379i | −0.133668 | − | 0.411386i | 0.861713 | − | 0.507396i | \(-0.169392\pi\) |
−0.995380 | + | 0.0960099i | \(0.969392\pi\) | |||||||
\(734\) | −2.97640 | + | 9.16041i | −0.109861 | + | 0.338117i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −13.2519 | −0.488470 | ||||||||
\(737\) | 6.76448 | + | 18.1994i | 0.249173 | + | 0.670383i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 10.0031 | + | 7.26770i | 0.367971 | + | 0.267347i | 0.756369 | − | 0.654145i | \(-0.226971\pi\) |
−0.388398 | + | 0.921492i | \(0.626971\pi\) | |||||||
\(740\) | −2.94327 | + | 9.05846i | −0.108197 | + | 0.332996i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −0.786955 | + | 0.571757i | −0.0288900 | + | 0.0209898i | ||||
\(743\) | −15.3240 | + | 11.1335i | −0.562182 | + | 0.408449i | −0.832257 | − | 0.554390i | \(-0.812952\pi\) |
0.270075 | + | 0.962839i | \(0.412952\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −5.31390 | + | 16.3545i | −0.194686 | + | 0.599183i | ||||
\(746\) | −7.50273 | − | 5.45105i | −0.274694 | − | 0.199577i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −10.9075 | + | 39.0387i | −0.398819 | + | 1.42740i | ||||
\(749\) | 45.3734 | 1.65791 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −7.64734 | + | 23.5361i | −0.279056 | + | 0.858845i | 0.709062 | + | 0.705146i | \(0.249119\pi\) |
−0.988118 | + | 0.153699i | \(0.950881\pi\) | |||||||
\(752\) | 2.31409 | + | 7.12205i | 0.0843864 | + | 0.259715i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −0.0263763 | + | 0.0191635i | −0.000960567 | + | 0.000697893i | ||||
\(755\) | −13.8683 | − | 42.6824i | −0.504721 | − | 1.55337i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −12.1358 | − | 8.81721i | −0.441085 | − | 0.320467i | 0.344981 | − | 0.938610i | \(-0.387885\pi\) |
−0.786066 | + | 0.618143i | \(0.787885\pi\) | |||||||
\(758\) | 11.4059 | 0.414279 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −17.4237 | −0.632024 | ||||||||
\(761\) | −20.8422 | − | 15.1428i | −0.755531 | − | 0.548925i | 0.142005 | − | 0.989866i | \(-0.454645\pi\) |
−0.897536 | + | 0.440941i | \(0.854645\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 10.2277 | + | 31.4778i | 0.370269 | + | 1.13957i | ||||
\(764\) | −3.17356 | + | 2.30572i | −0.114815 | + | 0.0834182i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 2.09590 | + | 6.45053i | 0.0757281 | + | 0.233067i | ||||
\(767\) | 3.42568 | − | 10.5432i | 0.123694 | − | 0.380692i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −0.639008 | −0.0230432 | −0.0115216 | − | 0.999934i | \(-0.503668\pi\) | ||||
−0.0115216 | + | 0.999934i | \(0.503668\pi\) | |||||||
\(770\) | −11.3660 | + | 9.00514i | −0.409601 | + | 0.324523i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 16.7750 | + | 12.1877i | 0.603745 | + | 0.438647i | ||||
\(773\) | 7.97807 | − | 24.5540i | 0.286951 | − | 0.883145i | −0.698856 | − | 0.715263i | \(-0.746307\pi\) |
0.985807 | − | 0.167883i | \(-0.0536929\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 34.6190 | − | 25.1522i | 1.24355 | − | 0.903493i | ||||
\(776\) | −8.22587 | + | 5.97644i | −0.295291 | + | 0.214542i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 0.00484068 | − | 0.0148981i | 0.000173547 | − | 0.000534122i | ||||
\(779\) | −26.2714 | − | 19.0873i | −0.941272 | − | 0.683874i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 26.1673 | + | 17.3924i | 0.936338 | + | 0.622350i | ||||
\(782\) | 7.60336 | 0.271895 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 4.88006 | − | 15.0193i | 0.174288 | − | 0.536403i | ||||
\(785\) | 14.1484 | + | 43.5443i | 0.504978 | + | 1.55416i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 39.4754 | − | 28.6806i | 1.40715 | − | 1.02235i | 0.413417 | − | 0.910542i | \(-0.364335\pi\) |
0.993730 | − | 0.111810i | \(-0.0356647\pi\) | |||||||
\(788\) | 11.9887 | + | 36.8975i | 0.427081 | + | 1.31442i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −11.3989 | − | 8.28178i | −0.405555 | − | 0.294653i | ||||
\(791\) | 20.2410 | 0.719687 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 7.97632 | 0.283248 | ||||||||
\(794\) | −0.110710 | − | 0.0804352i | −0.00392894 | − | 0.00285454i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −3.27062 | − | 10.0659i | −0.115924 | − | 0.356778i | ||||
\(797\) | 42.2081 | − | 30.6660i | 1.49509 | − | 1.08625i | 0.522801 | − | 0.852455i | \(-0.324887\pi\) |
0.972287 | − | 0.233791i | \(-0.0751130\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −4.36448 | − | 13.4325i | −0.154404 | − | 0.475207i | ||||
\(800\) | 12.5355 | − | 38.5804i | 0.443199 | − | 1.36402i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −6.06474 | −0.214153 | ||||||||
\(803\) | 36.5420 | − | 28.9519i | 1.28954 | − | 1.02169i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −41.8397 | − | 30.3983i | −1.47466 | − | 1.07140i | ||||
\(806\) | −0.504687 | + | 1.55327i | −0.0177768 | + | 0.0547115i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 11.1319 | − | 8.08778i | 0.391618 | − | 0.284527i | ||||
\(809\) | 25.5517 | − | 18.5644i | 0.898351 | − | 0.652690i | −0.0396909 | − | 0.999212i | \(-0.512637\pi\) |
0.938042 | + | 0.346522i | \(0.112637\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 8.82436 | − | 27.1586i | 0.309865 | − | 0.953667i | −0.667951 | − | 0.744205i | \(-0.732829\pi\) |
0.977817 | − | 0.209462i | \(-0.0671714\pi\) | |||||||
\(812\) | 0.391224 | + | 0.284241i | 0.0137293 | + | 0.00997490i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 1.29486 | − | 0.0540318i | 0.0453847 | − | 0.00189381i | ||||
\(815\) | −50.2057 | −1.75863 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0.491401 | − | 1.51238i | 0.0171919 | − | 0.0529114i | ||||
\(818\) | −3.09511 | − | 9.52577i | −0.108218 | − | 0.333061i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 58.0924 | − | 42.2066i | 2.02868 | − | 1.47392i | ||||
\(821\) | 14.8884 | + | 45.8218i | 0.519609 | + | 1.59919i | 0.774737 | + | 0.632283i | \(0.217882\pi\) |
−0.255129 | + | 0.966907i | \(0.582118\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −21.9250 | − | 15.9294i | −0.764258 | − | 0.555266i | 0.135956 | − | 0.990715i | \(-0.456590\pi\) |
−0.900213 | + | 0.435449i | \(0.856590\pi\) | |||||||
\(824\) | −9.71467 | −0.338427 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 8.64828 | 0.300912 | ||||||||
\(827\) | 2.48207 | + | 1.80333i | 0.0863100 | + | 0.0627079i | 0.630103 | − | 0.776511i | \(-0.283012\pi\) |
−0.543793 | + | 0.839219i | \(0.683012\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 8.89545 | + | 27.3774i | 0.308952 | + | 0.950855i | 0.978173 | + | 0.207792i | \(0.0666278\pi\) |
−0.669221 | + | 0.743063i | \(0.733372\pi\) | |||||||
\(830\) | 1.41907 | − | 1.03101i | 0.0492565 | − | 0.0357870i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −2.43437 | − | 7.49221i | −0.0843965 | − | 0.259746i | ||||
\(833\) | −9.20400 | + | 28.3270i | −0.318900 | + | 0.981472i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −20.2927 | −0.702256 | ||||||||
\(836\) | −7.65090 | − | 20.5843i | −0.264612 | − | 0.711921i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 2.72306 | + | 1.97842i | 0.0940666 | + | 0.0683434i | ||||
\(839\) | 10.6458 | − | 32.7643i | 0.367533 | − | 1.13115i | −0.580847 | − | 0.814013i | \(-0.697278\pi\) |
0.948380 | − | 0.317137i | \(-0.102722\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 23.4570 | − | 17.0425i | 0.808862 | − | 0.587672i | ||||
\(842\) | −0.554068 | + | 0.402554i | −0.0190944 | + | 0.0138729i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −12.8027 | + | 39.4026i | −0.440687 | + | 1.35629i | ||||
\(845\) | −36.3859 | − | 26.4359i | −1.25171 | − | 0.909424i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −32.0811 | − | 19.4451i | −1.10232 | − | 0.668142i | ||||
\(848\) | 3.07703 | 0.105666 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −7.19236 | + | 22.1358i | −0.246696 | + | 0.759252i | ||||
\(851\) | 1.42829 | + | 4.39582i | 0.0489611 | + | 0.150687i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −32.3254 | + | 23.4858i | −1.10680 | + | 0.804139i | −0.982157 | − | 0.188063i | \(-0.939779\pi\) |
−0.124645 | + | 0.992201i | \(0.539779\pi\) | |||||||
\(854\) | 1.92287 | + | 5.91799i | 0.0657993 | + | 0.202509i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 13.2706 | + | 9.64162i | 0.453578 | + | 0.329544i | ||||
\(857\) | 5.82947 | 0.199131 | 0.0995654 | − | 0.995031i | \(-0.468255\pi\) | ||||
0.0995654 | + | 0.995031i | \(0.468255\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 13.1832 | 0.449804 | 0.224902 | − | 0.974381i | \(-0.427794\pi\) | ||||
0.224902 | + | 0.974381i | \(0.427794\pi\) | |||||||
\(860\) | 2.84477 | + | 2.06684i | 0.0970058 | + | 0.0704788i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 3.18535 | + | 9.80351i | 0.108494 | + | 0.333909i | ||||
\(863\) | −15.5600 | + | 11.3050i | −0.529668 | + | 0.384826i | −0.820234 | − | 0.572029i | \(-0.806157\pi\) |
0.290565 | + | 0.956855i | \(0.406157\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −8.14102 | − | 25.0555i | −0.276803 | − | 0.851911i | ||||
\(866\) | −2.43068 | + | 7.48085i | −0.0825977 | + | 0.254210i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 24.2243 | 0.822227 | ||||||||
\(869\) | 9.80872 | − | 35.1059i | 0.332738 | − | 1.19089i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 6.54508 | + | 4.75528i | 0.221772 | + | 0.161127i | ||||
\(872\) | −3.69752 | + | 11.3798i | −0.125214 | + | 0.385369i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −3.33258 | + | 2.42126i | −0.112726 | + | 0.0819003i | ||||
\(875\) | 72.1316 | − | 52.4067i | 2.43849 | − | 1.77167i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 5.49723 | − | 16.9187i | 0.185628 | − | 0.571305i | −0.814330 | − | 0.580402i | \(-0.802896\pi\) |
0.999959 | + | 0.00909649i | \(0.00289554\pi\) | |||||||
\(878\) | 4.51461 | + | 3.28006i | 0.152361 | + | 0.110697i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 45.8309 | − | 1.91243i | 1.54496 | − | 0.0644681i | ||||
\(881\) | −9.68529 | −0.326306 | −0.163153 | − | 0.986601i | \(-0.552166\pi\) | ||||
−0.163153 | + | 0.986601i | \(0.552166\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −13.4731 | + | 41.4658i | −0.453404 | + | 1.39544i | 0.419594 | + | 0.907712i | \(0.362173\pi\) |
−0.872998 | + | 0.487723i | \(0.837827\pi\) | |||||||
\(884\) | 5.21917 | + | 16.0629i | 0.175540 | + | 0.540255i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −7.48733 | + | 5.43986i | −0.251542 | + | 0.182756i | ||||
\(887\) | −13.8884 | − | 42.7442i | −0.466328 | − | 1.43521i | −0.857305 | − | 0.514809i | \(-0.827863\pi\) |
0.390977 | − | 0.920400i | \(-0.372137\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 18.6913 | + | 13.5801i | 0.626888 | + | 0.455461i | ||||
\(890\) | −13.3021 | −0.445886 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −24.9261 | −0.834589 | ||||||||
\(893\) | 6.19049 | + | 4.49766i | 0.207157 | + | 0.150508i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −15.4024 | − | 47.4038i | −0.514846 | − | 1.58453i | ||||
\(896\) | 24.5277 | − | 17.8204i | 0.819414 | − | 0.595339i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −1.44035 | − | 4.43294i | −0.0480651 | − | 0.147929i | ||||
\(899\) | −0.0862108 | + | 0.265330i | −0.00287529 | + | 0.00884924i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −5.80341 | −0.193340 | ||||||||
\(902\) | −8.13699 | − | 5.40836i | −0.270932 | − | 0.180079i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 5.91998 | + | 4.30112i | 0.196896 | + | 0.143053i | ||||
\(905\) | 7.52896 | − | 23.1717i | 0.250271 | − | 0.770255i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 24.4120 | − | 17.7364i | 0.810589 | − | 0.588927i | −0.103413 | − | 0.994639i | \(-0.532976\pi\) |
0.914001 | + | 0.405711i | \(0.132976\pi\) | |||||||
\(908\) | 35.2843 | − | 25.6356i | 1.17095 | − | 0.850747i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −1.86715 | + | 5.74650i | −0.0618955 | + | 0.190495i | ||||
\(911\) | −10.7648 | − | 7.82112i | −0.356655 | − | 0.259125i | 0.395000 | − | 0.918681i | \(-0.370744\pi\) |
−0.751656 | + | 0.659556i | \(0.770744\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 3.77915 | + | 2.51186i | 0.125072 | + | 0.0831306i | ||||
\(914\) | −3.21068 | −0.106200 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −14.7017 | + | 45.2472i | −0.485759 | + | 1.49501i | ||||
\(917\) | −9.54136 | − | 29.3653i | −0.315084 | − | 0.969727i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −31.6854 | + | 23.0208i | −1.04520 | + | 0.759385i | −0.971295 | − | 0.237880i | \(-0.923547\pi\) |
−0.0739092 | + | 0.997265i | \(0.523547\pi\) | |||||||
\(920\) | −5.77755 | − | 17.7815i | −0.190480 | − | 0.586238i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −1.06870 | − | 0.776453i | −0.0351956 | − | 0.0255711i | ||||
\(923\) | 13.0921 | 0.430931 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −14.1487 | −0.465208 | ||||||||
\(926\) | 2.43168 | + | 1.76672i | 0.0799099 | + | 0.0580580i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 0.0817270 | + | 0.251530i | 0.00268282 | + | 0.00825687i | ||||
\(929\) | 25.9588 | − | 18.8601i | 0.851679 | − | 0.618781i | −0.0739292 | − | 0.997263i | \(-0.523554\pi\) |
0.925609 | + | 0.378482i | \(0.123554\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −4.98648 | − | 15.3468i | −0.163425 | − | 0.502971i | ||||
\(932\) | −8.94220 | + | 27.5213i | −0.292911 | + | 0.901489i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −11.0291 | −0.360884 | ||||||||
\(935\) | −86.4389 | + | 3.60693i | −2.82686 | + | 0.117959i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 4.15646 | + | 3.01984i | 0.135786 | + | 0.0986540i | 0.653605 | − | 0.756836i | \(-0.273256\pi\) |
−0.517819 | + | 0.855490i | \(0.673256\pi\) | |||||||
\(938\) | −1.95032 | + | 6.00246i | −0.0636801 | + | 0.195987i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −13.6886 | + | 9.94539i | −0.446475 | + | 0.324383i | ||||
\(941\) | −18.2632 | + | 13.2690i | −0.595364 | + | 0.432557i | −0.844230 | − | 0.535981i | \(-0.819942\pi\) |
0.248866 | + | 0.968538i | \(0.419942\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 10.7679 | − | 33.1401i | 0.350650 | − | 1.07919i | ||||
\(944\) | −22.1323 | − | 16.0801i | −0.720345 | − | 0.523362i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0.128751 | − | 0.460805i | 0.00418604 | − | 0.0149821i | ||||
\(947\) | −37.5922 | −1.22158 | −0.610792 | − | 0.791791i | \(-0.709149\pi\) | ||||
−0.610792 | + | 0.791791i | \(0.709149\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 6.00298 | − | 18.4753i | 0.194865 | − | 0.599732i | ||||
\(950\) | −3.89663 | − | 11.9926i | −0.126423 | − | 0.389091i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −21.8799 | + | 15.8967i | −0.709131 | + | 0.515214i | ||||
\(953\) | −13.3423 | − | 41.0634i | −0.432199 | − | 1.33017i | −0.895930 | − | 0.444196i | \(-0.853489\pi\) |
0.463730 | − | 0.885976i | \(-0.346511\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −6.77354 | − | 4.92127i | −0.219187 | − | 0.159248i | ||||
\(956\) | 47.3902 | 1.53271 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 3.35482 | 0.108389 | ||||||||
\(959\) | −28.1601 | − | 20.4595i | −0.909336 | − | 0.660671i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −5.26090 | − | 16.1914i | −0.169706 | − | 0.522303i | ||||
\(962\) | 0.436876 | − | 0.317409i | 0.0140854 | − | 0.0102337i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 6.58684 | + | 20.2722i | 0.212148 | + | 0.652924i | ||||
\(965\) | −13.6759 | + | 42.0901i | −0.440243 | + | 1.35493i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −19.4808 | −0.626460 | −0.313230 | − | 0.949677i | \(-0.601411\pi\) | ||||
−0.313230 | + | 0.949677i | \(0.601411\pi\) | |||||||
\(968\) | −5.25090 | − | 12.5043i | −0.168770 | − | 0.401903i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −8.55357 | − | 6.21453i | −0.274639 | − | 0.199537i | ||||
\(971\) | −13.1483 | + | 40.4662i | −0.421948 | + | 1.29862i | 0.483939 | + | 0.875102i | \(0.339206\pi\) |
−0.905887 | + | 0.423520i | \(0.860794\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −19.5052 | + | 14.1714i | −0.625309 | + | 0.454314i | ||||
\(974\) | 8.66578 | − | 6.29606i | 0.277670 | − | 0.201739i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 6.08260 | − | 18.7203i | 0.194699 | − | 0.599223i | ||||
\(977\) | 32.4439 | + | 23.5719i | 1.03797 | + | 0.754132i | 0.969889 | − | 0.243547i | \(-0.0783112\pi\) |
0.0680848 | + | 0.997680i | \(0.478311\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −11.9893 | − | 32.2565i | −0.383180 | − | 1.03092i | ||||
\(980\) | 35.6818 | 1.13981 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 1.70854 | − | 5.25834i | 0.0545217 | − | 0.167800i | ||||
\(983\) | −0.673401 | − | 2.07252i | −0.0214782 | − | 0.0661030i | 0.939743 | − | 0.341882i | \(-0.111064\pi\) |
−0.961221 | + | 0.275779i | \(0.911064\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −66.9912 | + | 48.6719i | −2.13452 | + | 1.55082i | ||||
\(986\) | −0.0468915 | − | 0.144317i | −0.00149333 | − | 0.00459599i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −7.40276 | − | 5.37842i | −0.235513 | − | 0.171110i | ||||
\(989\) | 1.70638 | 0.0542596 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −7.93293 | −0.251998 | −0.125999 | − | 0.992030i | \(-0.540214\pi\) | ||||
−0.125999 | + | 0.992030i | \(0.540214\pi\) | |||||||
\(992\) | 10.7183 | + | 7.78728i | 0.340306 | + | 0.247246i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 3.15614 | + | 9.71359i | 0.100107 | + | 0.308096i | ||||
\(995\) | 18.2758 | − | 13.2781i | 0.579380 | − | 0.420944i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 0.623596 | + | 1.91923i | 0.0197495 | + | 0.0607826i | 0.960446 | − | 0.278468i | \(-0.0898266\pi\) |
−0.940696 | + | 0.339251i | \(0.889827\pi\) | |||||||
\(998\) | −0.577612 | + | 1.77771i | −0.0182840 | + | 0.0562724i | ||||
\(999\) | 0 | 0 |
(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 | 297.2.f.b.136.2 | ✓ | 16 | |
3.2 | odd | 2 | inner | 297.2.f.b.136.3 | yes | 16 | |
9.2 | odd | 6 | 891.2.n.h.433.3 | 32 | |||
9.4 | even | 3 | 891.2.n.h.136.3 | 32 | |||
9.5 | odd | 6 | 891.2.n.h.136.2 | 32 | |||
9.7 | even | 3 | 891.2.n.h.433.2 | 32 | |||
11.3 | even | 5 | inner | 297.2.f.b.190.2 | yes | 16 | |
11.5 | even | 5 | 3267.2.a.bj.1.5 | 8 | |||
11.6 | odd | 10 | 3267.2.a.bi.1.4 | 8 | |||
33.5 | odd | 10 | 3267.2.a.bj.1.4 | 8 | |||
33.14 | odd | 10 | inner | 297.2.f.b.190.3 | yes | 16 | |
33.17 | even | 10 | 3267.2.a.bi.1.5 | 8 | |||
99.14 | odd | 30 | 891.2.n.h.784.3 | 32 | |||
99.25 | even | 15 | 891.2.n.h.190.3 | 32 | |||
99.47 | odd | 30 | 891.2.n.h.190.2 | 32 | |||
99.58 | even | 15 | 891.2.n.h.784.2 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
297.2.f.b.136.2 | ✓ | 16 | 1.1 | even | 1 | trivial | |
297.2.f.b.136.3 | yes | 16 | 3.2 | odd | 2 | inner | |
297.2.f.b.190.2 | yes | 16 | 11.3 | even | 5 | inner | |
297.2.f.b.190.3 | yes | 16 | 33.14 | odd | 10 | inner | |
891.2.n.h.136.2 | 32 | 9.5 | odd | 6 | |||
891.2.n.h.136.3 | 32 | 9.4 | even | 3 | |||
891.2.n.h.190.2 | 32 | 99.47 | odd | 30 | |||
891.2.n.h.190.3 | 32 | 99.25 | even | 15 | |||
891.2.n.h.433.2 | 32 | 9.7 | even | 3 | |||
891.2.n.h.433.3 | 32 | 9.2 | odd | 6 | |||
891.2.n.h.784.2 | 32 | 99.58 | even | 15 | |||
891.2.n.h.784.3 | 32 | 99.14 | odd | 30 | |||
3267.2.a.bi.1.4 | 8 | 11.6 | odd | 10 | |||
3267.2.a.bi.1.5 | 8 | 33.17 | even | 10 | |||
3267.2.a.bj.1.4 | 8 | 33.5 | odd | 10 | |||
3267.2.a.bj.1.5 | 8 | 11.5 | even | 5 |